text stringlengths 8.19k 8.19k | meta dict |
|---|---|
pose -2340 = -5*n - g, h*g - 2*g + 10 = 0. Is n a composite number?
False
Suppose 28107 + 13785 = 12*m. Is m a prime number?
True
Let t be (2 - 16) + (-2 - -5). Let y(z) = z + 10. Let m be y(t). Let s(v) = -162*v**3 + v**2. Is s(m) a composite number?
False
Suppose i + 4*w - 24 = 0, -124 = -4*i - 3*w + w. Let q = 122 +... | {
"pile_set_name": "DM Mathematics"
} |
2 + 59404*l**2*w - 119455222*l**2 + 2*l wrt w?
-17314*l**2*w + 59404*l**2
What is the second derivative of 47250049*z**5 + 12*z**3 - 945348525*z wrt z?
945000980*z**3 + 72*z
What is the first derivative of -69538565*i**2*l**2 - 7*i**2*l - 630*i**2 - 81072*i wrt l?
-139077130*i**2*l - 7*i**2
Differentiate -3123*f**3*o*r... | {
"pile_set_name": "DM Mathematics"
} |
lve -2*y - 10 = j*y for y.
-2
Let b(i) = -4*i - 2. Let u be b(-2). Let x(w) = -4 - 7*w**2 + 42*w + 32*w + w**3 + 37*w - 104*w. Let j be x(u). Solve 0 = -j*y + 6*y - 16 for y.
4
Suppose 3*x + 3*r = 2*r + 3, 5*r = -15. Suppose b + 9 = 2*h, 2*h - x*b = 3*b + 5. Solve -h*g = -3*g + 2 for g.
-1
Let v = 98 - 93. Suppose -107... | {
"pile_set_name": "DM Mathematics"
} |
3
Let k(d) = 16*d**3 + 9*d**2 - 5*d + 527. Let g(a) = 19*a**3 + 11*a**2 - 6*a + 530. What is -5*g(w) + 6*k(w)?
w**3 - w**2 + 512
Let l(i) = 10*i**3 + 32*i**2 - 1006*i + 42. Let n(c) = -2*c**3 - 6*c**2 + 201*c - 8. What is -3*l(r) - 16*n(r)?
2*r**3 - 198*r + 2
Let x(t) = 70858768*t + 69180. Let f(r) = -9218*r - 9. Calcu... | {
"pile_set_name": "DM Mathematics"
} |
a
In base 15, what is -25c - 13d?
-39a
In base 13, what is 4409a92 + 0?
4409a92
In base 4, what is -201220 - 21000?
-222220
In base 2, what is -1110111001001110111 + -10000?
-1110111001010000111
In base 10, what is -24 + 1067284?
1067260
In base 15, what is 3 + -235457?
-235454
In base 5, what is 210004104 - -10?
21000... | {
"pile_set_name": "DM Mathematics"
} |
5002). What is w rounded to the nearest one thousand?
-5000
Let m be (-2)/(2 - 112/57). Round m to the nearest ten.
-60
Suppose 0 = -4*i - 945069 - 1614931. Round i to the nearest one hundred thousand.
-600000
Suppose 3*p - 2*p + 3*d = 17, -3*p + 5*d - 19 = 0. Suppose 0 = p*n - 1 + 7, 4*q - n = 60403. What is q rounded... | {
"pile_set_name": "DM Mathematics"
} |
ded by o?
25
Suppose -i = n - 21, -6*n + 2*n = -20. Let h(j) = -j**3 + 11*j**2 + 11*j + 33. What is the remainder when h(12) is divided by i?
5
Suppose -2*p = -3*p - 4*n, -2*p + 60 = -4*n. Suppose -i - 4*t - 41 = 0, 3*t + p = -2*t. Let l = i + 40. Calculate the remainder when 104 is divided by l.
14
Let m = 23 + -20. S... | {
"pile_set_name": "DM Mathematics"
} |
= -29*f - 43. Let z(s) = 18*s + 44. Determine 2*v(n) + 3*z(n).
-4*n + 46
Let t(y) = -335*y**3 - 8*y + 6. Let q(r) = -112*r**3 - 3*r + 2. Determine -8*q(m) + 3*t(m).
-109*m**3 + 2
Let y(h) = -1. Suppose -10*f + 11*f = 4*r - 5, -32 = -5*f + r. Suppose 41*z = 48*z - f. Let u(b) = -8*b - 5. What is z*u(o) - 5*y(o)?
-8*o
L... | {
"pile_set_name": "DM Mathematics"
} |
3*n - q = 10. Solve -2*i - 2*i = 2*r - 14, -n*i = -r - 5 for i.
2
Suppose -q = 3*i - 14, 3*i + q + 6 = 4*q. Let c = -30 + 30. Suppose -i*t + c*t = 0. Solve 1 = -r + 5*l + 5, -5*r - 5*l + 20 = t for r.
4
Suppose -2*g - 4*g + 12 = 0. Let a(s) = s**2 - 4*s - 12. Let x be a(7). Solve 3*d - 3*l + x = 0, d + 2*l - 4 = g for ... | {
"pile_set_name": "DM Mathematics"
} |
he nearest 1000.
9000
Let y be (-9)/(9/(-2)) - -17. Suppose y = 6*v + 1. Suppose 5*l = -4*k - 392000, -2*k + v*k + 98000 = -4*l. Round k to the nearest 10000.
-100000
Let d = 56 - 49. Suppose d*q + 124753745 = 24653745. Round q to the nearest one million.
-14000000
Let d = 231 - -314. Let n = d + -1045. Round n to the ... | {
"pile_set_name": "DM Mathematics"
} |
09, -2/15, 1/3, 1/2
Sort 2/13, -2, 14634 in ascending order.
-2, 2/13, 14634
Put -2/7, 0.1, 0, 260, 2 in increasing order.
-2/7, 0, 0.1, 2, 260
Sort -23, 1, 0, 15, -10.
-23, -10, 0, 1, 15
Put -41, -5, 1, 0, -2, 28 in ascending order.
-41, -5, -2, 0, 1, 28
Sort -1, 5, -17, -3, -2, -31 in decreasing order.
5, -1, -2, -3,... | {
"pile_set_name": "DM Mathematics"
} |
v + 3*x, 2*v - 38 = -4*x. Suppose -5*d - 2*l + v = 0, -5*d + d - 5*l + 10 = 0. Does 4 divide d?
False
Let g be (-27)/9*10/(-6). Suppose 3*t = -3*w + 111, -g*w - 47 = -4*t + 101. Is t a multiple of 16?
False
Let f = -17 - -17. Let g(y) = y**3 + y + 51. Let a be g(f). Suppose -3*t - 3*u + 153 = 0, 0 = -t - 0*u - 2*u + a.... | {
"pile_set_name": "DM Mathematics"
} |
-4/7
b
Let j = -9.98 - 0.02. Let n = -8/3 - -25/6. What is the third smallest value in n, -3, j?
n
Let f be 1 + 392/10 - 1. Let w = 39 - f. Let m be 1 + (-48)/14 + 2. Which is the smallest value? (a) m (b) w (c) 2
a
Let x = 30 - 30.5. What is the biggest value in -0.3, x, 5?
5
Let d = 25.5 + -17.4. Let k = d - 8. Le... | {
"pile_set_name": "DM Mathematics"
} |
(o*(o*o/o**(1/4))/o)/o*o*o)/(o**(2/11))**(-2/91))**40)**41 assuming o is positive.
o**(23002640/3003)
Simplify p*p*p*p**(-26/3)*p*p*p/p**(7/3)*p*p**(-3/2)*p*p**(-46) assuming p is positive.
p**(-101/2)
Simplify (b/(b/(b/(b/b**(-2/9)*b)*b)))/((b**30/b)/b)*(b*b*b**(-20))**8 assuming b is positive.
b**(-1550/9)
Simplify (... | {
"pile_set_name": "DM Mathematics"
} |
q = -2*y + 4*q + 19. Suppose -y*n + 62 = -c, w = -c + 3. What is the remainder when n is divided by 4?
1
Let f be (4/6)/((-1)/(-3)). Suppose f*p = -2*p + 12. Suppose -3*u = -0*u + 5*n - 218, -4*u - p*n = -276. What is the remainder when u is divided by 17?
15
Calculate the remainder when 9/3 - 1 - -21 is divided by 13... | {
"pile_set_name": "DM Mathematics"
} |
a = n - -5324. Calculate the common denominator of 5/36 and a.
396
Let x(d) = 23*d**2 + 186*d - 187. What is the smallest common multiple of 82 and x(1)?
902
Suppose 189*q - 202*q = -91. Calculate the common denominator of -52/57 and (2 - (-435)/(-18)) + q.
114
Let f(j) = -j**3 + 14*j**2 - 5*j - 80. Calculate the lowes... | {
"pile_set_name": "DM Mathematics"
} |
s seven quarters of a micrometer in nanometers?
1750
What is 509.2862 milligrams in nanograms?
509286200
Convert 0.6930203 centuries to months.
831.62436
What is eighteen fifths of a litre in millilitres?
3600
Convert 186.0166 kilograms to grams.
186016.6
How many nanograms are there in eleven tenths of a microgram?
11... | {
"pile_set_name": "DM Mathematics"
} |
et z = 157 + k. Solve 4*p = z*h + 4, 7*p - 2*h = 4*p + 3 for p.
1
Suppose n - 4*s - 10 = 6, -n - s = 4. Suppose 0 = -5*u - 138 - 207. Let t = 71 + u. Solve 15 = -5*g - 5*r, -3*g + t*r + 3 - 2 = n for g.
-1
Let n = 14862 - 14860. Solve 3*p + 4 = -n*y, 2*p - 4 = -8*y + 10*y for y.
-2
Suppose -5*m = -4*i - 148 + 2136, 120... | {
"pile_set_name": "DM Mathematics"
} |
8?
True
Does 866 divide 281450?
True
Is 6762 a multiple of 69?
True
Is 24 a factor of 113384?
False
Does 9 divide 33165?
True
Does 55 divide 127435?
True
Is 8 a factor of 1291960?
True
Is 1499776 a multiple of 8?
True
Is 126 a factor of 3664246?
False
Is 124740 a multiple of 22?
True
Is 8 a factor of 891048?
True
Is 33... | {
"pile_set_name": "DM Mathematics"
} |
)/36*-7*(-136)/306. Which is greater: o or -1?
o
Let y be 6/(-15) - 4/(-35). Let b = 15/41 + 11/82. Is y > b?
False
Let p = 361.51 - 361.81. Let d = 0 - 0.2. Let k = d + 0.6. Which is smaller: p or k?
p
Let c be (-1 - (-1)/(-1))*(-20)/360*3. Let y = -74.049 + 74. Is c < y?
False
Suppose -4*l = -0*b - 3*b + 13, -l = 4*b... | {
"pile_set_name": "DM Mathematics"
} |
3 + 12*g
Expand -56924*d + 56924*d - 796*d**3 + (d - 1 + 1)*(0*d - 2*d**2 + 0*d) + 3*d**3 + 3*d**3 - 2*d**3.
-794*d**3
Expand (1025*h - 1025*h - 21 + 2*h**2)*(411 - 411 + 18*h**2).
36*h**4 - 378*h**2
Expand (-20 + 66886*f + 66882*f - 133762*f)*(-2 + 2 + 1).
6*f - 20
Expand (-59450 - 1300*b + 59450)*(-6 + 2 + 2)*(0 + 1 ... | {
"pile_set_name": "DM Mathematics"
} |
2 wrt w?
-12*c - 64372872*w
Find the first derivative of 193668984*b*f**2 - 236626105*f**2 wrt b.
193668984*f**2
What is the derivative of -11603216*i + 781279 wrt i?
-11603216
Find the third derivative of 12562*d*w**4 + 309*d*w**3 - 16*d*w**2 + 59*d*w - 20*w**2 - 9 wrt w.
301488*d*w + 1854*d
What is the third derivati... | {
"pile_set_name": "DM Mathematics"
} |
cked without replacement from {b: 5, f: 3}. What is prob of sequence ff?
3/28
Calculate prob of sequence wwm when three letters picked without replacement from {m: 7, w: 12}.
154/969
Four letters picked without replacement from {q: 4}. What is prob of sequence qqqq?
1
Three letters picked without replacement from {d: 5... | {
"pile_set_name": "DM Mathematics"
} |
82124 + 3.2432.
110.8314124
-4345157790293+-1.2
-4345157790294.2
Work out -48.7564 + 153198360.
153198311.2436
What is the difference between 0.159802151921 and 26.9?
26.740197848079
Subtract 42418340 from -0.50538.
-42418340.50538
Add together -86 and 94578787069.
94578786983
Subtract 0.12 from -1997281682645.
-199728... | {
"pile_set_name": "DM Mathematics"
} |
mmon multiple of s and k?
99
Suppose 4*h = -t - 0 - 6, -2*h - 2 = 0. Find the common denominator of t/(-5) + 111/(-10) and -31/8.
40
Let q be -4 + 10/15*39. Let j(k) = -47*k + 74. Let n be j(q). What is the common denominator of 2/15 - 1288/n and 51/10?
40
Let b(d) = d**2 - 5*d + 6. Let t = -21 + 19. Let m(y) = 5*y**2 ... | {
"pile_set_name": "DM Mathematics"
} |
u/(-3) - 1626/9. What is j rounded to the nearest one hundred?
-200
Let f(q) = q + 11. Let j be 122/(-14) + 12/(-42). Let c be f(j). Suppose n = c*n + 830000. What is n rounded to the nearest one hundred thousand?
-800000
Let p be (-447869)/9 - 6/(-27). Let m = p - -112763. Round m to the nearest 10000.
60000
Suppose ... | {
"pile_set_name": "DM Mathematics"
} |
, -1, 0
Let i(w) = 17*w**3 + 27*w**2 + 3*w - 7. Let l(u) = 16*u**3 + 26*u**2 + 4*u - 6. Suppose 0 = r + 3*r + 12. Let t(g) = r*l(g) + 2*i(g). What is a in t(a) = 0?
-1, 2/7
Let s be (28/(-240))/((-56)/72). Let g(r) be the first derivative of 0*r**2 - 3/25*r**5 + 0*r - 14 - s*r**4 + 2/5*r**3. Let g(w) = 0. Calculate w.
... | {
"pile_set_name": "DM Mathematics"
} |
-3, 3, 12, 2, -4 in descending order.
12, 3, 2, -3, -4
Sort -4756, -5, -1 in ascending order.
-4756, -5, -1
Put -3, 4, -2, -5 in ascending order.
-5, -3, -2, 4
Sort -0.81, 1/2, -2 in descending order.
1/2, -0.81, -2
Sort -3, 0, -135, 5, 2.
-135, -3, 0, 2, 5
Sort 3, 39, -6 in ascending order.
-6, 3, 39
Put -5, 3, -38, ... | {
"pile_set_name": "DM Mathematics"
} |
-4*p + 6*m + 10. Suppose 5*q + b = -p*q + 110, 110 = 5*q + 4*b. Let d be 25 - (0 - -2) - 1. Do q and d have the same value?
True
Let h(a) = 3*a**2 + 17*a - 147. Let u be h(5). Which is smaller: u or -31?
-31
Let v(a) = -2*a**3 - 5*a**2 - 208*a + 878. Let q be v(4). Which is bigger: q or -2112/13?
q
Let m = 9 - 44. Let... | {
"pile_set_name": "DM Mathematics"
} |
345, 1764, 2133, 2434, 2649?
2760
What is the next term in -456, -933, -1394, -1833, -2244, -2621?
-2958
What is next in -693, 1035, 7641, 21567, 45255, 81147, 131685, 199311?
286467
What comes next: 16423, 33127, 50121, 67417, 85027, 102963?
121237
What comes next: -10810, -10571, -10218, -9757, -9194?
-8535
What is n... | {
"pile_set_name": "DM Mathematics"
} |
2 - 2
Simplify sqrt(147)*6 - ((sqrt(3) + -2)**2 + -5) - (-6*(sqrt(144) + sqrt(36)))/((-2*sqrt(96))/sqrt(8)).
-2 + 37*sqrt(3)
Simplify (3 + 5*sqrt(28)/sqrt(4)*-4*-2)**2.
240*sqrt(7) + 11209
Simplify (-1*(sqrt(405)*6)/((sqrt(81)*-2 + sqrt(81))/sqrt(9)))**2*1.
1620
Simplify -5*-6*(4*sqrt(720)*-4 - sqrt(720)).
-6120*sqrt(5... | {
"pile_set_name": "DM Mathematics"
} |
*(j - 326) prime?
True
Let i(v) = -1. Let t(o) = -o + 2. Let h(y) = -3*i(y) + t(y). Let l be h(-1). Is 21610/(30/l) + 3/(-1) prime?
False
Suppose 82*t + 75 = 107*t. Is 8 + -11 + 8310/t composite?
False
Let w(v) be the second derivative of 14*v**4/3 + v**3/6 - 5*v**2 + 2*v. Is w(-5) a prime number?
False
Let k(w) = 107*... | {
"pile_set_name": "DM Mathematics"
} |
8) - sqrt(168)))/sqrt(12))/(5*(sqrt(7) - -2*sqrt(112))).
4*sqrt(2)/45
Simplify 1 + ((2*sqrt(156)*-5)/(sqrt(12) + sqrt(144)/(sqrt(60)/sqrt(5))))**2.
326
Simplify ((1*sqrt(35)*5)/sqrt(5)*-1 + -5)*-6.
30 + 30*sqrt(7)
Simplify (-6*(sqrt(102) + (sqrt(102) - (sqrt(102) + (sqrt(102) - -2*sqrt(102)))*2))/((sqrt(42)*1)/sqrt(7))... | {
"pile_set_name": "DM Mathematics"
} |
(a) t (b) m (c) 2
b
Let q be (1 - -3)/(3 - 5). Let j be q/(-4) - 30/140. Let c = -0.6 + 0.2. What is the closest to j in -0.5, -3/2, c?
c
Let h = 17 + -16.8. Which is the closest to h? (a) 4 (b) -1/10 (c) -1/9
b
Let w = -3 - -2.5. Let d be (-1)/(-1*(-2)/(-14)). Suppose -d*k + 12 = -4*k. Which is the closest to 0? ... | {
"pile_set_name": "DM Mathematics"
} |
to the nearest integer?
4
What is 42073 to the power of 1/2, to the nearest integer?
205
What is 313 to the power of 1/7, to the nearest integer?
2
What is the fourth root of 396 to the nearest integer?
4
What is 4199 to the power of 1/4, to the nearest integer?
8
What is the seventh root of 1745 to the nearest integer... | {
"pile_set_name": "DM Mathematics"
} |
the first derivative of 893307228*w**2 + 649955298?
1786614456*w
Find the third derivative of 6414*q**4 + 328*q**3*z + 79748*q**2*z + z + 373 wrt q.
153936*q + 1968*z
What is the first derivative of -2178506*a**2 + 12*a + 272929786?
-4357012*a + 12
Find the second derivative of -69*a**5 + 714778*a**4 + 509253515*a.
-1... | {
"pile_set_name": "DM Mathematics"
} |
-3, 2
Determine d, given that -5*d**3 + 23285*d**2 - 26092855*d - 2389197425 = 0.
-85, 2371
Let -3*b**2 + 122025*b - 976008 = 0. Calculate b.
8, 40667
What is o in -6*o**4/5 + 70*o**3 + 2576*o**2/5 + 312*o = 0?
-6, -2/3, 0, 65
Suppose -3*f**5/2 + 2935*f**4/4 + 5403*f**3/4 - 491*f**2/2 = 0. What is f?
-2, 0, 1/6, 491
F... | {
"pile_set_name": "DM Mathematics"
} |
Which is the second smallest value? (a) 1 (b) 0.211 (c) 1051/124
a
Which is the third smallest value? (a) -687 (b) 0.6 (c) -0.15 (d) 2/9 (e) 1 (f) -0.4
c
What is the smallest value in 1/6, 1/53, -5, -17, -14?
-17
What is the smallest value in 6.2, 24, -315, 0.2?
-315
What is the third smallest value in -31.3,... | {
"pile_set_name": "DM Mathematics"
} |
in -387, -386, -385, -384, -383, -382?
-381
What is the next term in -4, -9, -26, -61, -120, -209?
-334
What is the next term in -126, -128, -130, -132, -134, -136?
-138
What is the next term in -35, -25, 9, 79, 197?
375
What is the next term in 19, 43, 65, 85, 103?
119
What is next in -8, 38, 124, 256, 440?
682
What i... | {
"pile_set_name": "DM Mathematics"
} |
Does 479 divide 160989?
False
Does 9 divide 913086?
True
Is 3500637 a multiple of 12?
False
Is 23039595 a multiple of 23?
False
Is 700870 a multiple of 35?
False
Is 89 a factor of 1908856?
False
Does 148 divide 3558068?
True
Is 2328225 a multiple of 25?
True
Does 35 divide 4633756?
False
Does 126 divide 5845014?
True
... | {
"pile_set_name": "DM Mathematics"
} |
3 - 96413*s + 177
What is the n'th term of 578358, 1156755, 1735152, 2313549?
578397*n - 39
What is the v'th term of -8590568, -17181133, -25771698, -34362263, -42952828?
-8590565*v - 3
What is the x'th term of 1880, 3654, 5378, 7052, 8676, 10250?
-25*x**2 + 1849*x + 56
What is the r'th term of -1983793, -1983754, -198... | {
"pile_set_name": "DM Mathematics"
} |
lse
Let w be 2 + -5 + 0 + 3. Suppose f + 0*f = 1972. Is (f/8 - w)*2 prime?
False
Is (-1)/((20/18935)/(-4)) a prime number?
False
Let n(f) = -f + 9. Let c be n(-10). Suppose c*w + 6853 = 30*w. Is w composite?
True
Let t = -19 + 25. Suppose -t*o + 196 + 758 = 0. Is o a prime number?
False
Let u = 12 + -8. Suppose q + 215... | {
"pile_set_name": "DM Mathematics"
} |
(u) wrt u?
16
Let n(j) be the second derivative of 7*j**6/120 - j**4/3 + 3*j**2/2 - j. Let c(f) be the first derivative of n(f). What is the second derivative of c(h) wrt h?
42*h
Let g(b) be the second derivative of 26*b**6/15 + b**5/10 - 5*b**4/6 - 6*b - 1. What is the third derivative of g(m) wrt m?
1248*m + 12
What ... | {
"pile_set_name": "DM Mathematics"
} |
) = 5*f + 1. Let t be (-6)/(-15) - (-115)/25. Suppose 0*b - 2 = t*h + 3*b, -5*h - 10 = -5*b. Calculate u(h).
-4
Let p(q) = 24*q - 20*q + 14*q. Determine p(1).
18
Let o(m) = -m**3 - 6*m**2 - 5*m - 4. Suppose -2*b + 0*b = -4*g + 18, 0 = g - 3*b + 8. Suppose 2*w - 65 = g*w. Let p = w - -8. Calculate o(p).
-4
Let y(a) be t... | {
"pile_set_name": "DM Mathematics"
} |
129?
True
Does 64 divide 3806912?
True
Does 189 divide 5240851?
False
Is 20022155 a multiple of 48?
False
Is 167 a factor of 14571919?
True
Does 61 divide 1928953?
False
Does 260 divide 3415631?
False
Is 3 a factor of 3561469?
False
Is 54 a factor of 199100?
False
Is 198 a factor of 856548?
True
Is 10008 a multiple of ... | {
"pile_set_name": "DM Mathematics"
} |
ue
Is 801150 a multiple of 14?
True
Is 873 a factor of 2213514?
False
Is 5 a factor of 295375?
True
Is 15 a factor of 84465?
True
Is 134 a factor of 492107?
False
Is 404298 a multiple of 54?
True
Is 81732 a multiple of 196?
True
Does 11 divide 2159960?
True
Is 79 a factor of 170581?
False
Does 376 divide 520008?
True
I... | {
"pile_set_name": "DM Mathematics"
} |
0.05 (b) m (c) 6.1
a
Let d = -0.2804 - 0.1196. Let f = -247.1 + 232. Let a = -15 - f. What is the fourth smallest value in -5, 14, a, d?
14
Let l be (-5)/(1 + 10/2)*(-39)/(-130). What is the fifth smallest value in -0.5, 4, -3, l, -0.05?
4
Let q be ((-66)/385)/(56/(-196)). Which is the biggest value? (a) q (b) -884... | {
"pile_set_name": "DM Mathematics"
} |
5 - 1775*m + 3*m**2 to w + r*m**2 + h*m and give w.
-248
Express 202241*q**4 - 404499*q**4 + 202244*q**4 - 2*q**3 - 223 as g*q + o*q**3 + l + v*q**4 + d*q**2 and give g.
0
Express -2244*r - 2139*r - 1654*r - 4781*r in the form s*r + z and give s.
-10818
Rearrange 34 + 1408*n + 1397*n - 2817*n to the form o*n + c and gi... | {
"pile_set_name": "DM Mathematics"
} |
= y - -8. Calculate the lowest common multiple of 14 and v.
42
Let x(h) = -h - 3. Let v be 16/(-6)*18/8. What is the smallest common multiple of x(v) and 1?
3
Calculate the common denominator of 1/13 and (-121)/14 - 3/(-2).
91
Let r = -1 + 4. Suppose -r = -2*j - j. Calculate the least common multiple of 6 and j.
6
Let... | {
"pile_set_name": "DM Mathematics"
} |
Let h be 36/48 - 1450/(-8). Suppose -4*s - h = -11*s. What are the prime factors of s?
2, 13
Let v(q) = 59*q**2 - 13*q - 15. List the prime factors of v(-1).
3, 19
Let s = -1 - -5. Suppose 3*f + f = -5*m + 64, 0 = s*f - 3*m - 96. Suppose -2*r = 3 - f. List the prime factors of r.
3
Suppose 0 = -5*l - 3*d + 21, 4*l - l... | {
"pile_set_name": "DM Mathematics"
} |
digit of n?
0
Suppose -3*n + 2*x = -17 - 14, -39 = -2*n + 5*x. Suppose -3*j - y = 16, -4*j - 3*y - 11 - n = 0. What is the units digit of (15/(-5))/(j/16)?
8
Suppose -18 = -v + 2*z, -4*z = -v - 2*v + 52. What is the units digit of v?
6
Suppose -167 = -5*t - 52. What is the units digit of t?
3
Let d(f) be the third der... | {
"pile_set_name": "DM Mathematics"
} |
3/9. Calculate the common denominator of z and 75/24 - (3 - 0).
8
Suppose -115 = 5*k + 5. Let o = 96/67 + -5333/402. Calculate the common denominator of 10 - 7 - (-267)/k and o.
24
Let q = -5785/6 - -947. Let o = 145/4 + -991/28. What is the common denominator of q and o?
42
Let x = -18 + 26. Suppose f = x*f - 63. What... | {
"pile_set_name": "DM Mathematics"
} |
e of m**4 - 244*m + 152. Let g(a) be the first derivative of h(a). Let x(i) = -12*i. What is x(g(o))?
-144*o**2
Let o(l) = 7169*l. Let s(t) = 355*t. Give o(s(r)).
2544995*r
Let a(o) = 145*o**2. Let f(y) be the first derivative of -y**5/60 - 85*y**2/2 + y - 86. Let j(l) be the second derivative of f(l). Calculate a(j(k)... | {
"pile_set_name": "DM Mathematics"
} |
letters picked without replacement from qiiqqiqqqiii.
1/11
What is prob of sequence liis when four letters picked without replacement from {i: 5, s: 2, l: 2}?
5/189
Two letters picked without replacement from jjnjjn. Give prob of sequence jj.
2/5
What is prob of sequence vvxx when four letters picked without replaceme... | {
"pile_set_name": "DM Mathematics"
} |
Let v be j(s). Solve -2*f - v = -0*f for f.
-2
Let p be (-1058 + 12)/1*2/(-4). Let z = 539 - p. Suppose -q + 5*o + 18 = 0, -2*q - 15 = -6*q + o. Solve f = -q*f - z for f.
-4
Let n(l) = -l**2 + 13*l - 18. Let i be n(12). Let o be (14 + i)*(5 - 4). Solve 0 = 3*t - o*t for t.
0
Let b(g) = -2*g - 1. Let u be b(-3). Let l ... | {
"pile_set_name": "DM Mathematics"
} |
ominator of -91/222 and 26.
222
What is the smallest common multiple of 198 and 6?
198
Calculate the smallest common multiple of 120 and 36.
360
Find the common denominator of -79/1462 and -49/860.
14620
What is the least common multiple of 40 and 105?
840
What is the lowest common multiple of 16 and 20?
80
What is the... | {
"pile_set_name": "DM Mathematics"
} |
3
What is 40924 divided by -787?
-52
Divide 1135290 by 37843.
30
What is -528264 divided by -528264?
1
Divide 163348 by 194.
842
Calculate 1 divided by -1862631.
-1/1862631
616 divided by -19
-616/19
Calculate -3 divided by -423725.
3/423725
What is -11088 divided by -28?
396
Divide 37105 by 22.
37105/22
-8 divided by ... | {
"pile_set_name": "DM Mathematics"
} |
is the nearest to -1/2? (a) 0.2 (b) -0.1 (c) -11 (d) 2/11
b
What is the closest to 4 in -6, -0.5, -387?
-0.5
Which is the closest to 0? (a) 2/11 (b) 2 (c) -2201 (d) 1/2
a
What is the nearest to -0.1 in 108, -1.809, 1/2?
1/2
Which is the nearest to -1? (a) 0.2 (b) -612/5 (c) 0.3 (d) -0.5 (e) -2
d
Which is t... | {
"pile_set_name": "DM Mathematics"
} |
-35*b**2 + 61*b**2 + 36*b**2).
-124*b**3
Expand -118*j + 118*j + 5*j**2 + (j + 3 - 3)*(0*j + j - 2*j) - 2*j**2 + j**2 + 2*j**2 + 2 - 2 + j**2.
6*j**2
Expand (2*g + 0*g + g)*(-6*g**3 + 0*g**4 - 7*g**4 + 8*g**4).
3*g**5 - 18*g**4
Expand (-54*y - 2 - 11*y - 7*y)*(-2 + 2 - y).
72*y**2 + 2*y
Expand (-2*m - 14*m - 3*m)*(-2*m... | {
"pile_set_name": "DM Mathematics"
} |
))/k*-57 is divided by v?
5
Let g(c) = c**2 + 2*c - 2. What is the remainder when 304/6 + 0 + 1/3 is divided by g(3)?
12
Let h(l) = 7*l - 1. Let s be (6/3 + 0)/2. Let t be h(s). Calculate the remainder when ((-16)/t)/((-3)/36) is divided by 11.
10
Let a = -3 - -3. Let m(u) = 4*u - 1 - 1 + a. What is the remainder when ... | {
"pile_set_name": "DM Mathematics"
} |
+ g + 0*g)).
-16*g**5
Expand (0 - 3 + 6)*((-1 + 1 - 2)*(-1 + 1 + 2*a) + (7*a - 9*a + 0*a)*(-2 + 0 + 3)*(0 - 1 + 6)).
-42*a
Expand (-6*g - 4*g + 22*g)*(5 + 0 + 2).
84*g
Expand (0*o + 0*o - 7*o**2)*(-3 + 4 + 1)*(-2*o + 0*o + o) + 0*o**3 + 2*o**3 - o**3 + (o - o - o)*(o**2 - 4*o**2 + o**2) - 3*o**3 + 2*o**3 + 2*o**3.
18*... | {
"pile_set_name": "DM Mathematics"
} |
s + 0*s**2 + 80*s + 3*s**2 - 6*s**2.
-3*s**2
Collect the terms in -157*r - 4*r**2 + 157*r + 3*r**2.
-r**2
Collect the terms in -68*r**2 + 215*r**2 - 67*r**2 - 71*r**2.
9*r**2
Collect the terms in 16*k**3 + 5*k**3 - 25*k**3 + 6*k**3.
2*k**3
Collect the terms in -1 - 236*c**2 + 231*c**2 + 1.
-5*c**2
Collect the terms in ... | {
"pile_set_name": "DM Mathematics"
} |
7*b - 3*b**3 + 17*b + 2*b**3.
-b**3
Collect the terms in k**2 - 3*k**2 + 8*k**2.
6*k**2
Collect the terms in -50 + 50 - 3*h.
-3*h
Collect the terms in -22*s**2 - 19*s**2 - 3 + 3 + 38*s**2.
-3*s**2
Collect the terms in -1120*d**2 + 560*d**2 + 559*d**2.
-d**2
Collect the terms in 1084*a + 18 - 1085*a - 18.
-a
Collect the... | {
"pile_set_name": "DM Mathematics"
} |
5 - 5?
2
-16 - (-18 - (11 - 31)) - (-5 - 0)
-13
-499 - -489 - (4 + (3 - -9))
-26
What is -20 + (-3 - (9 - 17)) - -1?
-14
What is (-3 - (1 + -8 + -18) - 6) + -1?
15
Evaluate 26 + -38 - (4 - 6).
-10
What is 0 + 0 + 9 - (-188 + 205)?
-8
(10 - (1 - 2)) + 0 + (-2 - -10)
19
What is (7 - 3) + (6 - 4) - 8?
-2
What is the value... | {
"pile_set_name": "DM Mathematics"
} |
the nearest to 2/3 in 0.5, 1, -0.1, -155, 13.16?
0.5
What is the closest to 26490 in -0.0404, -5, 2?
2
What is the closest to 0.17 in 3, 0.5, -3, 22, 144, 2/21?
2/21
What is the closest to -2/5 in -4.3, 4/7, 1, 2, 0.01?
0.01
Which is the nearest to 0? (a) -3 (b) -40 (c) -1171 (d) 2 (e) -11/2
d
What is the closest... | {
"pile_set_name": "DM Mathematics"
} |
6?
589
What is the highest common divisor of 47909 and 15571?
23
Calculate the highest common factor of 498 and 215584034.
166
Calculate the highest common factor of 46725042 and 1092.
546
Calculate the greatest common factor of 747270 and 68970.
570
Calculate the greatest common divisor of 7035630 and 462.
42
Calculat... | {
"pile_set_name": "DM Mathematics"
} |
picked without replacement from jjdvawwajdnvdand?
1/30
Calculate prob of sequence eio when three letters picked without replacement from {i: 4, o: 2, s: 2, e: 1, q: 7}.
1/420
Calculate prob of sequence aoee when four letters picked without replacement from eaeeeeeeaaeeeeeeeoee.
2/323
Four letters picked without replac... | {
"pile_set_name": "DM Mathematics"
} |
114847, -143726, -172637?
-201574
What is the next term in -5905, -11743, -17583, -23425?
-29269
What is the next term in -3819, -8330, -14195, -22092, -32699, -46694, -64755?
-87560
What is next in -179589, -357314, -535039?
-712764
What comes next: 43339, 346765, 1170357, 2774197, 5418367, 9362949?
14868025
What come... | {
"pile_set_name": "DM Mathematics"
} |
z(w) = -w**3 - 3*w**2 - 3*w - 1. Suppose 4*l + 5 = -3. Let m be z(l). What is the first derivative of -1 + m + 2 - 2*t**4 wrt t?
-8*t**3
Let b(t) be the third derivative of 0 + 0*t**6 + 0*t**5 + 0*t - t**2 - 5/24*t**4 + 0*t**7 + 1/168*t**8 + 0*t**3. Find the second derivative of b(d) wrt d.
40*d**3
Let g = -4 - -7. Let... | {
"pile_set_name": "DM Mathematics"
} |
8*t**2 + 4*t**3 - 2*t**3 - 5*t**3 + 2*t + 4*t**4 + t**3 - 1 to n*t**2 + p*t + j + f*t**4 + x*t**3 and give x.
-2
Express (0 - 2*y + 0)*(6 - 2 + 4) + 2*y - 2*y + y + (-2*y + 1 - 1)*(3 - 1 - 3) + 0 + 2*y + 0 + 2*y + 4 - 4 - y - 3*y + 5*y in the form s + u*y and give u.
-8
Express -j**4 - 3 - 9*j**2 + 0 + 4*j**2 - 13*j**4... | {
"pile_set_name": "DM Mathematics"
} |
h term of 76, 160, 248, 340?
2*b**2 + 78*b - 4
What is the t'th term of -22, 22, 138, 362, 730, 1278?
6*t**3 + 2*t - 30
What is the j'th term of -29, -38, -47?
-9*j - 20
What is the k'th term of 15, 15, 13, 9, 3, -5?
-k**2 + 3*k + 13
What is the w'th term of -6, -20, -54, -114, -206, -336, -510, -734?
-w**3 - 4*w**2 + ... | {
"pile_set_name": "DM Mathematics"
} |
t of t?
8
Suppose -4*c + n + 59 = 0, -n + 24 + 52 = 5*c. Suppose -728 = -c*k + 14*k. What is the tens digit of k?
2
Let q be -4 + 3 + (1 - -13). Let s be q - (0 - 6/(-2)). Suppose -203 = -4*b - 5*p, 0*p - 2*p - s = 0. What is the units digit of b?
7
Suppose -5*n + 2*h + 3 = -39, 5*n = -5*h + 70. Suppose i - g = n, 3*g ... | {
"pile_set_name": "DM Mathematics"
} |
m of -162667, -162649, -162619, -162571, -162499, -162397, -162259?
q**3 + 11*q - 162679
What is the v'th term of 103773, 418593, 944463, 1681383, 2629353?
105525*v**2 - 1755*v + 3
What is the z'th term of 53326076, 106652119, 159978148, 213304157, 266630140, 319956091, 373282004, 426607873?
-z**3 - z**2 + 53326053*z +... | {
"pile_set_name": "DM Mathematics"
} |
?
False
Suppose -3*s = 4*h - 82544, 13*s - 5*h - 137550 = 8*s. Is s a multiple of 44?
False
Let p = 2064 - -13424. Is 11 a factor of p?
True
Let d = -178 - -78. Let t = d + 300. Is 8 a factor of t?
True
Suppose 2*x = 4, -7*x + 2*x = -5*k + 20. Let z(h) = 4*h**3 + 4*h**2 - 51*h - 3. Is 7 a factor of z(k)?
False
Suppose ... | {
"pile_set_name": "DM Mathematics"
} |
4*sqrt(2) + 137/2
Simplify -5*(sqrt(153) + (sqrt(153) + (sqrt(153) + 1*sqrt(153) + sqrt(153) - sqrt(153)) + sqrt(153) + sqrt(153))*3)/(-4*sqrt(45)/sqrt(5)).
20*sqrt(17)
Simplify (sqrt(80) + 0)*1 + 1 + sqrt(80) + -3 - (-3*1*sqrt(35) - sqrt(35))/(1*sqrt(28) + sqrt(28) - sqrt(28)).
-2 + 10*sqrt(5)
Simplify (-3 + 1 + sqrt(... | {
"pile_set_name": "DM Mathematics"
} |
common factor of h and x?
3
Suppose -23 = -5*s + 2*k, 5*s - 4*k - 35 = k. Let w be (2 - s) + -1*(-4)/1. Calculate the greatest common factor of w and 2.
1
Suppose -2*w - 2*w - 3*a = -115, 3*a + 71 = 2*w. Calculate the greatest common divisor of w and 31.
31
Suppose 0 = 14*s - 6*s + 24. Let l(b) = -b**3 - 2*b**2 + 1. Le... | {
"pile_set_name": "DM Mathematics"
} |
*y - 191, 2*y - 6*l + l - 102 = 0. Suppose y + 14 = 5*n. Let z be ((-6)/n)/(-1 + 4/5). What is the nearest to z in 3/7, -2/7, -2?
3/7
Let y(x) = -152*x - 6538. Let r be y(-43). Which is the nearest to 0.6? (a) 4/5 (b) 12/11 (c) 1/3 (d) r
a
Let n = -196.2 - -248. Let o = n + -52. Let l = 0.33 - 3.33. Which is the ne... | {
"pile_set_name": "DM Mathematics"
} |
) = -107*y**2 - 14*y**2 - 222*y**2 - 91*y + 91*y. What is f(j(z))?
117649*z**4
Let s(l) = -l**3 + 6*l**2 - 2*l - 3. Let a be s(2). Let d(b) = 15*b - 19*b - a*b. Let m(j) = -4*j. What is m(d(q))?
52*q
Let f(k) = -k**2 - 40*k. Let x(r) be the second derivative of 13*r**3/6 - 237*r + 1. What is f(x(c))?
-169*c**2 - 520*c
... | {
"pile_set_name": "DM Mathematics"
} |
-41*o. Determine -5*d(w) + 2*m(w).
23*w
Let p(n) = -8*n - 23. Let i(b) = -2*b - 6. Give -9*i(z) + 2*p(z).
2*z + 8
Let n(y) = 4*y + 2*y**2 - 3*y**2 - 4*y**2. Let z(g) = -g**2 + g. Suppose 4*m - m - 6 = -o, 2*m = 5*o + 38. Let x = o - -2. What is x*z(d) + n(d)?
-d**2
Let u(h) = -4*h**3 + 5*h**3 + 3*h**2 + h**3 + 8*h**3. ... | {
"pile_set_name": "DM Mathematics"
} |
hat is prob of sequence mk when two letters picked without replacement from {t: 1, s: 1, c: 1, x: 3, k: 10, m: 2}?
10/153
Calculate prob of sequence tjt when three letters picked without replacement from {j: 4, t: 4, o: 1, p: 1}.
1/15
Three letters picked without replacement from aaasaassaa. What is prob of sequence ss... | {
"pile_set_name": "DM Mathematics"
} |
= 2.6 + -3. Let r = 2 - 0. What is the second smallest value in u, r, z?
u
Suppose 0*y + 254 = 2*y. Let q be ((-2)/(-12))/(5/3814). Let c = q - y. What is the smallest value in -2, c, 1/4?
-2
Let o(k) = k**2 - 6*k + 4. Let i be o(5). Which is the second smallest value? (a) -0.1 (b) 8 (c) i
a
Suppose t = 5*t - 20. S... | {
"pile_set_name": "DM Mathematics"
} |
three letters picked without replacement from {y: 2, c: 3}.
1/10
Three letters picked without replacement from iiiiooi. Give prob of sequence oio.
1/21
Four letters picked without replacement from {v: 5, n: 8}. Give prob of sequence nnnv.
14/143
Two letters picked without replacement from {l: 1, d: 5, x: 1, t: 3}. Giv... | {
"pile_set_name": "DM Mathematics"
} |
e nearest 100?
0
Let y = 60.99999928 - 61. What is y rounded to seven dps?
-0.0000007
Let n(w) = -w - 4. Let x be n(-6). Suppose -10431 = p - x*c, 2*p = -2*p + 3*c - 41734. Let k = -65435 - p. What is k rounded to the nearest 10000?
-60000
Let u = 202069.127 + -202182. Let s = -0.127 + u. Let w = s - -112.917. What is ... | {
"pile_set_name": "DM Mathematics"
} |
e z(8).
-14
Let l(g) = g. Let s = 54 - 55. Let d(a) = -8*a + 1. Let k be d(s). Suppose f + k = -2*f. Calculate l(f).
-3
Let v(t) = 1. Let q(p) = p + 5. Let w(f) = -4*q(f) + 20*v(f). Suppose -21*m + 13*m = -720. Suppose -87 = -3*n - m. Give w(n).
4
Let v(q) = -q**2 + 8*q - 5. Let t be (-5*(-2)/(-25))/(1/50) + -4. Let z(... | {
"pile_set_name": "DM Mathematics"
} |
b + 17*b - 4*b**3 = 0?
-4, 0, 1
Let h be 2/(-4)*40/(-30). Factor 2/3*f**2 + h*f**3 + 0 - 2/3*f**4 - 2/3*f.
-2*f*(f - 1)**2*(f + 1)/3
Let k(s) be the first derivative of s**4/60 + s**3/30 - s - 4. Let z(a) be the first derivative of k(a). Suppose z(c) = 0. Calculate c.
-1, 0
Let l(d) be the third derivative of d**6/900 ... | {
"pile_set_name": "DM Mathematics"
} |
) + h(y). Is v(-7) a prime number?
False
Let k = 276478 - 59871. Is k a prime number?
True
Is 320841 - (-2 - 0)*-5 prime?
False
Let t(i) be the first derivative of 983*i**3/3 - 5*i**2/2 + 13*i - 102. Is t(-4) a prime number?
True
Let k = 801 - 443. Let z be 7 + -14 + 8 - 210. Let l = z + k. Is l a prime number?
True
Su... | {
"pile_set_name": "DM Mathematics"
} |
*z - 16. Let g(o) = -31*o**2 + 24*o + 36. Let k(x) = -4*g(x) - 9*v(x). Let d(r) be the second derivative of -r**3/6 + 2*r. Give k(d(l)).
-11*l**2 - 3*l
Let x(a) = -306*a**2. Let u(g) = -150008*g. Give u(x(l)).
45902448*l**2
Let s(w) = -17 + 5 + 14 - w - 2. Let t(n) = 108*n. Determine t(s(f)).
-108*f
Let g(i) = -2*i. Le... | {
"pile_set_name": "DM Mathematics"
} |
ere in 75145.22 centuries?
7514522
How many nanoseconds are there in 0.3551441 microseconds?
355.1441
How many millilitres are there in 21/8 of a litre?
2625
What is 1/10 of a tonne in kilograms?
100
Convert 250578.6 years to millennia.
250.5786
What is seven eighteenths of a day in minutes?
560
How many decades are th... | {
"pile_set_name": "DM Mathematics"
} |
t is the least common multiple of 2 and d?
90
Suppose -y = 3*w + 1, 12 = -7*w + 3*w + 4*y. Let g = 60803 + -3283507/54. Calculate the common denominator of (w/(-7))/(18/(-2877)) and g.
54
Find the common denominator of 17/60 and 5522/7700 - (-4 + (-154)/(-35)).
2100
Let x be 2618/(-35) + 7 - 1/5. What is the least comm... | {
"pile_set_name": "DM Mathematics"
} |
49680?
2*o + 49670
What is the y'th term of -1378, -1349, -1316, -1279, -1238?
2*y**2 + 23*y - 1403
What is the a'th term of -3243227, -6486456, -9729685?
-3243229*a + 2
What is the w'th term of -212682, -425345, -638008, -850671?
-212663*w - 19
What is the a'th term of 178, 178, 180, 178, 166, 138, 88?
-a**3 + 7*a**2 ... | {
"pile_set_name": "DM Mathematics"
} |
e of 34/(23 + -32 - -7)?
-17
(-15 - (-129)/6 - -13)*(-4)/6
-13
What is the value of 68/36 + 1 + 6/(-2)?
-1/9
(196/(-65) - -3)*(-65)/13
1/13
Evaluate (3/21)/((-1020)/1428).
-1/5
What is (3 + (-14)/6)*(17 - (4 - 11))?
16
What is the value of (48 + (19 - 55))/(-3)?
-4
What is ((-3)/36)/(71/(-1136))*7/(-532)?
-1/57
Calcula... | {
"pile_set_name": "DM Mathematics"
} |
en 17066 is divided by 2031?
818
What is the remainder when 59985 is divided by 368?
1
What is the remainder when 384525 is divided by 128166?
27
What is the remainder when 16409 is divided by 1299?
821
What is the remainder when 94136 is divided by 1485?
581
Calculate the remainder when 36290724 is divided by 36290715... | {
"pile_set_name": "DM Mathematics"
} |
+ 3 for i.
-3
Let x be (-5 + 6 + -1)/(0 - -2). Suppose -3*h + 6 = 3*b, x*b = -b - 2*h + 4. Solve 2*a - 6 + 2 = b for a.
2
Let s(h) = 2*h**2 + 31*h + 79. Let q be s(-3). Let t = 11 - 8. Solve -t + 11 = -q*a for a.
-2
Let t be ((-20)/(-360))/((-2)/6)*-30. Suppose t*j = -4*k + 20, 3*k + 8*j - 15 = 3*j. Solve -k*f - 8*f +... | {
"pile_set_name": "DM Mathematics"
} |
the remainder when 154 is divided by a.
37
Let p be 5/4 - 2/8. Let y = p - -1. Let d(h) = h**3 + 3*h**2 - 2*h + 1. Calculate the remainder when 49 is divided by d(y).
15
Suppose -70 = -3*b - 13. Let f(a) be the second derivative of a**3/6 + 3*a**2/2 - 11*a. What is the remainder when b is divided by f(7)?
9
Let d be 1*... | {
"pile_set_name": "DM Mathematics"
} |
2 - 288*m/7 - 108/7 = 0. Calculate m.
-3, -2/5, 2
Determine o so that 5*o**4 - 15*o**3 - 45*o**2 - 25*o = 0.
-1, 0, 5
Suppose -3*g**3 - 57*g**2 + 123*g - 63 = 0. Calculate g.
-21, 1
Let -2*c**5 - 90*c**4 - 1046*c**3 - 534*c**2 + 4576*c - 2904 = 0. Calculate c.
-22, -3, 1
Factor 4*m**2 + 7192*m - 7196.
4*(m - 1)*(m + 17... | {
"pile_set_name": "DM Mathematics"
} |
235821 is divided by 235795.
26
Calculate the remainder when 93433 is divided by 2078.
2001
What is the remainder when 235218 is divided by 1125?
93
Calculate the remainder when 25396425 is divided by 60324.
21
What is the remainder when 2704044 is divided by 76?
40
Calculate the remainder when 24135602 is divided by 1... | {
"pile_set_name": "DM Mathematics"
} |
3*y, -826 = 3*i + h*y - 3557. Is i a composite number?
True
Let l = 1300 + 753. Is l composite?
False
Suppose -3*r = -0*r - 3, -b + 24 = -r. Let g(y) = -y - 2. Let x be g(4). Let f = x + b. Is f a prime number?
True
Suppose 5*w = -3*z + 4*w + 10, 2*w + 4 = 0. Suppose z*t + 18 - 46 = 0. Suppose -2*v - a + 10 = -t, -2*v ... | {
"pile_set_name": "DM Mathematics"
} |
ose -3*b + 129 + 15 = 0. Let i be 26/(2/b*(-68)/1275). Round i to the nearest 10000.
-10000
Suppose -3*z = 2*c - 12, 3*c - 5*z + 7 = -13. Suppose c = -8*n - 254352 - 129648. What is n rounded to the nearest ten thousand?
-50000
Let q = 330 + -381.7. Round q to 0 decimal places.
-52
Suppose 3*f + f + 1371198 = -k, 4*k =... | {
"pile_set_name": "DM Mathematics"
} |
t(147) - sqrt(147)*-2))**2*-2*5 - (((sqrt(147) + -1)*-6)**2 + (-2*sqrt(147) + -1 - sqrt(147) - sqrt(147))**2).
-20951 + 1288*sqrt(3)
Simplify sqrt(22)/(sqrt(11)*-1) + (sqrt(242) - (sqrt(242)*2 + sqrt(242))) - (0 + (sqrt(4) + sqrt(8)/sqrt(2))/sqrt(2)) - (sqrt(224)*6)/(sqrt(700) - 3*sqrt(700)).
-119*sqrt(2)/5
Simplify 4 ... | {
"pile_set_name": "DM Mathematics"
} |
2466*c**2*y + 97730*c*y wrt c.
-24932*y
Find the second derivative of 2*l**5 - 2*l**3*y + 5*l**3 + 603*l**2 + l*y + l - 4*y - 1758 wrt l.
40*l**3 - 12*l*y + 30*l + 1206
Find the third derivative of -3*a*w**6 + 3180*a*w**5 + a*w**2 + 10047*a wrt w.
-360*a*w**3 + 190800*a*w**2
What is the second derivative of 213831*b**4... | {
"pile_set_name": "DM Mathematics"
} |
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