text stringlengths 270 8.19k | meta dict |
|---|---|
he power of 1/2, to the nearest integer?
1307
What is 30660758 to the power of 1/3, to the nearest integer?
313
What is 1125076 to the power of 1/7, to the nearest integer?
7
What is 342016 to the power of 1/2, to the nearest integer?
585
What is the cube root of 1333424 to the nearest integer?
110
What is 951350 to th... | {
"pile_set_name": "DM Mathematics"
} |
-5 + 22*sqrt(5)/27
Simplify 3 + (((sqrt(150) + sqrt(150)*-2)*-6)/(-6*sqrt(40)/sqrt(4)))/(5*((1*sqrt(240) + sqrt(240) - sqrt(240))/sqrt(4))/sqrt(12)).
-sqrt(3)/5 + 3
Simplify -6*(3 + -2 + (sqrt(55) - sqrt(220)/sqrt(4))/sqrt(11) + sqrt(45) + sqrt(135)/sqrt(3)*6 + sqrt(45)).
-144*sqrt(5) - 6
Simplify (3*-3*(sqrt(72) - -1... | {
"pile_set_name": "DM Mathematics"
} |
composite?
False
Let d(o) = -14*o**2 - 5*o + 22. Let x(b) = 29*b**2 + 10*b - 43. Let i(h) = -13*d(h) - 6*x(h). Is i(-13) composite?
False
Suppose -5 = -j, 2*h = h + 5*j + 164. Suppose 18 = 4*i - 2*b, i - 4*i - 5*b = 19. Suppose i*g - h = -23. Is g prime?
True
Suppose -16*w = -17*w, a - 2833 = -2*w. Is a a prime number... | {
"pile_set_name": "DM Mathematics"
} |
2*l
Let c(s) = -4*s - 2. Let v(t) = 5*t + 2. Suppose -n + 5*n + 14 = -2*j, 3*n = 0. Calculate j*c(k) - 6*v(k).
-2*k + 2
Let g(t) = -5*t**3 + 2*t - 2. Suppose 24 = -36*a + 48*a. Let w(h) = -15*h**3 + 7*h - 7. Give a*w(s) - 7*g(s).
5*s**3
Let i(c) = -15*c + 7*c**2 + 5*c + 8*c + 1. Let b(a) = -a**2 + a. Calculate 5*b(s) +... | {
"pile_set_name": "DM Mathematics"
} |
-2 - -8).
4
What is the value of -3 - ((1 - -6) + (0 - 5))?
-5
(29 - 34) + 7 + -2
0
Calculate -4 - -1 - (0 + -8 - -5).
0
What is the value of 4 + (-1 - -5 - 6)?
2
Calculate 1 + 2 + -8 + 3 - 2.
-4
Evaluate (-11 - -22) + 1 + -8.
4
Evaluate 4 - (12 - 10) - 9.
-7
What is -10 - (-14 - -4) - (-4 - -1)?
3
(-1 - -3) + -1 + (1 ... | {
"pile_set_name": "DM Mathematics"
} |
f x(f)?
7
Let w(f) = 7*f + f - 3 - 6*f. What is the units digit of w(3)?
3
Let a = 0 + 0. What is the units digit of (3 - -9)*(2 + a)?
4
Suppose -h = -5*p - 20, 3*p - 1 + 5 = -h. Let i be 4*(h/2)/(-5). What is the units digit of (-6)/(i - (-12)/9)?
9
Let m(c) = c**3 - 5*c**2 - 3. Let v be m(5). What is the units digit ... | {
"pile_set_name": "DM Mathematics"
} |
aces.
-0.00004
Suppose -2*b - b - 3 = 0, 0 = -2*f + 4*b + 14. Suppose -f*n - 4*v = -3*v - 724, 708 = 5*n - 3*v. What is n rounded to the nearest 10?
140
Let s = -1 + 1. Let c(d) = -13627*d + 3. Let z be c(-1). Suppose s = p - z + 3530. What is p rounded to the nearest one thousand?
10000
Let j = 78 - 78.00159. What is ... | {
"pile_set_name": "DM Mathematics"
} |
- 4*m**3 + 0*m**3 + (m**3 + 3*m - 3*m)*(-2 + 2 - 2) - 4 + 4 - 2*m**3.
13*m**3 + 3
Expand (2*i**3 - i**3 - 2*i**3)*(-6*i**2 - 3*i + 3*i) - 3*i**5 + i**5 + i**5 + (0 + 2*i + 0)*(0*i + i**4 + 0*i).
7*i**5
Expand (-6*v + 3*v + 2*v)*(3 - 3 - v**2) + (42 - 42 + 389*v**2)*(-v - 1 + 1).
-388*v**3
Expand (2 - 2 - 3*c)*(3338 - 3... | {
"pile_set_name": "DM Mathematics"
} |
08*g = -4206*g + 14 for g.
-7
Solve 200*a + 29 = 203*a - 7 for a.
12
Solve 450 = -132*s + 537 + 837 for s.
7
Solve -2301 - 10043 + 2009 = 265*s for s.
-39
Solve 2080 = -1648*z + 1808*z for z.
13
Solve 0 = 44*d - 159*d - 194 - 266 for d.
-4
Solve 2 = -n - 8 - 6 for n.
-16
Solve 7*s + 79*s = -37*s - 4428 for s.
-36
Solve... | {
"pile_set_name": "DM Mathematics"
} |
4, 2*d + 8 = -2*d - 4*m. Let j = d + 5. Solve 5*u + 15 = -5*b, j*b - 3*u - 14 = 6*b for b.
-5
Let o(x) = -6 + x**2 - x + 2 + 9. Let q be o(0). Solve 2*g + q*r = -30, 3*g - r + 3 + 8 = 0 for g.
-5
Suppose 0*z - 13 = -z. Suppose -4*l - c = -z - 3, 5*c + 15 = -l. Solve 4*v - 2*o = -l*o - 11, 2*o + 9 = -3*v for v.
-5
Suppo... | {
"pile_set_name": "DM Mathematics"
} |
1
Which is smaller: -2/211 or 27/49?
-2/211
Is -1 at most -1/93485557?
True
Is 54 less than 99246/1837?
True
Is 2/136893035 less than 1?
True
Which is smaller: -3209191 or -3209193?
-3209193
Which is smaller: -683 or -15154?
-15154
Is -28668 greater than 283?
False
Is 3310127 greater than 3310228?
False
Are 0 and 10825... | {
"pile_set_name": "DM Mathematics"
} |
, k, q
Let q = 45/14 + -43/14. Put -1/18, q, 0.3 in decreasing order.
0.3, q, -1/18
Let q = -637.7 - -638. Sort 0.1, -3, q, -9.
-9, -3, 0.1, q
Let w be -7 - 64/(-8) - -6. Put -3.4, w, -1/3 in descending order.
w, -1/3, -3.4
Let f = -107 + -43. Let k = 150 + f. Suppose -2*s - p = 3, -5*s - 4*p - 5 = -2. Put s, 3, k in d... | {
"pile_set_name": "DM Mathematics"
} |
/(sqrt(90)/(sqrt(10) + 2*sqrt(30)/sqrt(3))).
39*sqrt(17)
Simplify (4*3*sqrt(612) - (sqrt(612) + 2 + -3))**2*-4.
-296212 - 528*sqrt(17)
Simplify -4*5*((sqrt(171) + -3*(1*sqrt(171) + sqrt(171)))/sqrt(9) + 5)**2*-2.
-2000*sqrt(19) + 20000
Simplify 2*3*sqrt(34)/(sqrt(2) + sqrt(10)/sqrt(5))*-4*-2.
24*sqrt(17)
Simplify ((sqr... | {
"pile_set_name": "DM Mathematics"
} |
What is the difference between 61410.43 and -9.183118?
61419.613118
Subtract -3.0176 from -27.344.
-24.3264
-23587961 + -82267
-23670228
What is the difference between -51221.29 and -3157?
48064.29
Work out -6858 + -2123802073.
-2123808931
Add together 881886028 and -48784.
881837244
Work out -87 - -1.136076846652.
-8... | {
"pile_set_name": "DM Mathematics"
} |
y + 486. Determine z(480).
6
Let t(q) = 2*q**3 - 46*q**2 - 119*q + 1425. Determine t(24).
-279
Let h(g) = -3*g**3 - 38*g**2 - 14*g + 107. Give h(-2).
7
Let r(p) = -206*p + 206. Calculate r(4).
-618
Let r(u) = 13433*u - 53760. Determine r(4).
-28
Let j(i) = -71183*i - 4. Calculate j(0).
-4
Let q(y) = -7114*y**2 + 35573*... | {
"pile_set_name": "DM Mathematics"
} |
se -3*z = 17*z - 3*z. Suppose 0 = 2*h - z*h, h = -4*r. Solve r = 2*v - 2*y, v - 4*y = -v - 2 for v.
1
Let v be 0 - 0 - (1 - 11). Suppose 4*l - 1074 = -1122. Let n be 25/(-10)*1*l/v. Solve n = 3*z - 3*p, z + 2*z = -4*p + 24 for z.
4
Suppose -l + 31 = 160*t - 164*t, 4*l + 4*t = -16. Solve -13*d + 6 = -10*d, 0 = l*u - 5*d... | {
"pile_set_name": "DM Mathematics"
} |
the third biggest value in -3, h, u?
-3
Let t(j) = j**3 - 2*j. Let x be t(2). Let p = -55/72 + 7/18. Suppose 3*f + 4 + 5 = 0. Which is the third biggest value? (a) x (b) f (c) p
b
Let v = -0.2 + 0.3. Let m = 2152.3 - 2152. What is the third smallest value in m, 0.4, v, 5?
0.4
Let q(l) = -l**3 - 12*l**2 - 18*l + 21. ... | {
"pile_set_name": "DM Mathematics"
} |
ut replacement from ikiiiiiiki.
0
Three letters picked without replacement from gsgfxjggkgkgkxxjg. What is prob of picking 1 g, 1 k, and 1 j?
21/340
Three letters picked without replacement from {g: 2, x: 1, i: 3, q: 6, e: 5}. What is prob of picking 1 g, 1 x, and 1 q?
3/170
Calculate prob of picking 2 y and 1 s when t... | {
"pile_set_name": "DM Mathematics"
} |
ement from {o: 2, u: 7, x: 3}. What is prob of sequence xxux?
7/1980
Calculate prob of sequence qxu when three letters picked without replacement from uxxrurarxq.
1/120
What is prob of sequence ybjj when four letters picked without replacement from {e: 1, b: 5, y: 8, j: 4}?
1/153
Calculate prob of sequence nqnn when fo... | {
"pile_set_name": "DM Mathematics"
} |
hat is the third smallest value in k, b, -2/13?
k
Let h = 180.1 + -180. Let p be (-3)/12*16/(-12). Let y = -0.2 - -0.4. Which is the third biggest value? (a) y (b) p (c) h
c
Let d = 29 + -6. Let h = -18 + d. Let v = 0.32 + -0.02. Which is the second smallest value? (a) h (b) 10 (c) v
a
Let i(r) = 2*r + 12. Let h(... | {
"pile_set_name": "DM Mathematics"
} |
95640*f + 7
Differentiate -134372326*w + 82192010 wrt w.
-134372326
What is the second derivative of 331*v**3*y - v**3 - 9807*v**2*y + 6*v*y - 3660*v + 243*y wrt v?
1986*v*y - 6*v - 19614*y
What is the first derivative of -5336236*d - 756578 wrt d?
-5336236
What is the third derivative of -2*z**5 - 3840970*z**4 + z**3 ... | {
"pile_set_name": "DM Mathematics"
} |
*2 + 2*l**2 - 6*l**2).
30591*l**4
Expand (1 + 1 + 0)*(o - 3*o + 3*o)*(0 + 0 + 2 + (3 - 2 - 2)*(2 - 2 + 2) - 4 + 7 - 1 - 5 + 2 + 5) - 5*o + 3*o + 0*o + (-1 - 14 + 5)*(-144 + 26*o + 144).
-254*o
Expand (5 + 0 - 1)*(1 + 0 - 14)*(23*t + 7*t - 6*t + 21*t).
-2340*t
Expand (196 + 896 - 33 + 312)*(-7*o + 2*o + 7*o).
2742*o
Exp... | {
"pile_set_name": "DM Mathematics"
} |
j + 45/2*j**b - 75/4*j**3 + 0.
-3*j*(5*j - 3)**2/4
Let a(x) be the second derivative of -x**5/4 - 25*x**4/3 + 5*x**3/6 + 50*x**2 + 115*x. What is u in a(u) = 0?
-20, -1, 1
Let c = 41 + -19. Suppose -4*t + c = 2*h, 12 + 7 = h + 4*t. Factor 2/3*y**h + 10/9*y**2 + 0 + 4/9*y.
2*y*(y + 1)*(3*y + 2)/9
Let u(t) = t**4 + 63*t*... | {
"pile_set_name": "DM Mathematics"
} |
late the remainder when w is divided by 5.
4
Suppose -5 = w + 2*s - 116, -4*w = -s - 426. Calculate the remainder when w is divided by 27.
26
Let p be -28 + -3 + (-1 - 2). Let u = p + 55. What is the remainder when 33 is divided by u?
12
Suppose -2*s + 3*o - 2*o = -34, -5*s = 5*o - 85. Suppose s*v - 156 = 11*v. What is... | {
"pile_set_name": "DM Mathematics"
} |
ppose -5*w - 4*p = -2*w - 130, 0 = -4*w - 5*p + 174. Is 13 a factor of w?
False
Let d = 19 - -93. Does 28 divide d?
True
Let c(w) = w**2 + 11*w + 1. Let j be c(-8). Let o be (-4)/(-8) - j/(-2). Let n = 20 + o. Is n a multiple of 9?
True
Let g = -49 + 133. Let u = g - 39. Suppose 5*y - u = -0*y. Is 8 a factor of y?
Fals... | {
"pile_set_name": "DM Mathematics"
} |
0*h**3 + 0*h**4 + 0*h. Calculate v(q(m)).
-20*m**4
Let o(q) = 1145802897*q**2. Let j(n) = 2*n. What is j(o(k))?
2291605794*k**2
Let g(i) = 40*i**2. Let k(c) be the first derivative of -c**4/12 - 62*c - 3. Let n(q) be the first derivative of k(q). Calculate g(n(j)).
40*j**4
Let v(u) = -2665*u. Let k(y) = 3*y**2 - 168. W... | {
"pile_set_name": "DM Mathematics"
} |
(1 - 2 - 1)*(-d - d + 3*d) + 0*d - 3*d - 3*d.
-40*d
Expand -7*z**2 - 2*z**3 + 7*z**2 + (-z**3 - 2*z**3 + 4*z**3)*(15 - 34 - 23).
-44*z**3
Expand (3 + 0 + 0)*(2*x - 3*x + 2*x) + x + x - 4*x + 20*x + 32*x - 12*x.
41*x
Expand (-f**2 + 3*f**2 - 3*f**2)*(-f - 4*f + 3*f + (-51*f + 106*f + 4 - 51*f)*(3 - 1 - 4)*(2 + 1 - 5)).
... | {
"pile_set_name": "DM Mathematics"
} |
p**2 - 20*p - 20. Give d*u(v) + j*m(v).
-4*v**3
Let z(f) = 736*f**2 - 828*f + 138. Let g(y) = y**2 + 6*y - 1. Determine -138*g(w) - z(w).
-874*w**2
Let z(v) = -5*v**3 + 3*v**3 + 4*v**3 - 5. Let w(m) = -m**3 + 2. Let u(d) = 2*d + 17. Let b be u(-8). Suppose -5*h + b + 9 = 0. Calculate h*z(i) + 5*w(i).
-i**3
Let c(u) = -... | {
"pile_set_name": "DM Mathematics"
} |
Let x = -10 + 11.7. Let t = 255 - 256.92. Let w = t + x. What is w rounded to 1 decimal place?
-0.2
Let t = 2 + -0.5. Let j = -1.61 + t. Let c = j + 0.110038. Round c to five decimal places.
0.00004
Let z = 277 + -276.8818. What is z rounded to two decimal places?
0.12
Let u = 33171132.0000065 - 33171115. Let m = -5.6 ... | {
"pile_set_name": "DM Mathematics"
} |
e closest to -1 in 6, -2, 0.2?
-2
What is the closest to -1 in 1.3, 2/95, -5?
2/95
What is the closest to -0.7 in -8/5, -2, -4/5, 0?
-4/5
Which is the nearest to -0.1? (a) 227/4 (b) 0.2 (c) 3 (d) -5
b
Which is the nearest to -1/735? (a) 3 (b) -0.5 (c) 0.3
c
Which is the nearest to 0.1? (a) 1/7 (b) -11 (c) 50 ... | {
"pile_set_name": "DM Mathematics"
} |
(-656)/24)*1/8. Let a = -2/3311 - -122579/119196. Let n = -7/9 + a. What is the closest to n in 0.5, h, -1?
0.5
Let d = -0.3 - -0.29. Let g be (10/(-25))/((-871)/335). Let y = 0 - -0.3. What is the nearest to 3 in y, g, d?
y
Let i = 0.23171 - -0.06829. What is the nearest to 0.3 in i, -0.3, 43, -0.1?
i
Let a = -945 - -... | {
"pile_set_name": "DM Mathematics"
} |
**2 - 7*p**2 - 11*p**2)*(3*p - 1 - 4*p - 2*p) to w + c*p**3 + g*p**2 + a*p and give c.
39
Rearrange -28 + 29 + 38*d + d to q*d + g and give q.
39
Rearrange -14*f - 19*f - 16*f + 5 + 45*f to j + m*f and give m.
-4
Express -14 + 35*k - 60*k - 3*k**2 + 25*k as c*k + j + f*k**2 and give f.
-3
Rearrange 4*o**2 - 2*o**2 + 9 ... | {
"pile_set_name": "DM Mathematics"
} |
g(o) - w(o)?
4*o**3 - 15*o**2 + o + 1
Let z(t) = 144*t**2 - 27. Let h(s) be the second derivative of s**2 - 93*s - 11/12*s**4 + 0*s**3 + 2. Calculate 27*h(p) + 2*z(p).
-9*p**2
Let r(c) = -62*c + 2. Let j(k) = 170*k - 7. Give 6*j(v) + 17*r(v).
-34*v - 8
Let y(l) = -3*l**2 + 5 - 6*l**2 - 8*l + 3 - l**3. Let d be y(-8). L... | {
"pile_set_name": "DM Mathematics"
} |
1938 and 0.5.
8616341938.5
Put together 2309947 and 20038.
2329985
Add together 9566.0773537 and -875.
8691.0773537
What is -0.2 less than -0.252385760645?
-0.052385760645
Total of 1307344484 and -0.108.
1307344483.892
What is the distance between -0.2 and -421452853641?
421452853640.8
Work out 217694.05798 - -0.1.
217... | {
"pile_set_name": "DM Mathematics"
} |
number?
False
Is 4073 a prime number?
True
Is 42739 composite?
True
Is 37217 a composite number?
False
Is 1903 a prime number?
False
Is 151337 prime?
True
Is 13093 a prime number?
True
Is 15727 a prime number?
True
Is 1697027 prime?
True
Is 15419 a prime number?
False
Is 2939 composite?
False
Is 238933 a prime number?
... | {
"pile_set_name": "DM Mathematics"
} |
-144 + 146. Find z, given that -15*z**2 + 17*z**k - 4*z - z**4 + 1 + 4*z**3 - 5*z**2 + 3 = 0.
-1, 1, 2
Let z = 143 - 141. Let s be z/(-13) - 3*(-20)/390. Solve 3/4*g + s + 9/4*g**3 - 3*g**2 = 0 for g.
0, 1/3, 1
Let n(h) = -10*h**2 - 315*h + 325. Let x = 280 - 283. Let k(j) = -5*j**2 - 157*j + 162. Let b(d) = x*n(d) + 5... | {
"pile_set_name": "DM Mathematics"
} |
69.1. Let j = u + -68.97. Which is the smallest value? (a) -2 (b) -3 (c) 2 (d) j
b
Let f = 37 - 35. Let a = -1.6 + f. What is the biggest value in a, -0.2, -2/3?
a
Let x = 878.7 + -879. Let y = -0.3 + 0.1. Which is the third smallest value? (a) x (b) 4 (c) y
b
Let l = -0.102 - -0.602. What is the third smallest ... | {
"pile_set_name": "DM Mathematics"
} |
*l + 18 = 0. Suppose -d - l = 2*q - 3*q, 3*q - d = 14. Suppose 3*p + q*i + 82 = 6*p, -4*i + 8 = 0. What are the prime factors of p?
2, 3, 5
Let y = 227 + -162. What are the prime factors of y?
5, 13
What are the prime factors of (3/1)/((-282)/(-151058))?
1607
Suppose 0 = 4*k + c - 3526, k + c - 872 = -4*c. List the pri... | {
"pile_set_name": "DM Mathematics"
} |
6)/4*(0 - 2)*1. Suppose 3*w = 2*b + b - 12, -d*b + 27 = 2*w. What is the remainder when 17 is divided by b?
3
Suppose 0 = 29*d + 28343 - 99741. What is the remainder when d is divided by 112?
110
Let y(g) = -g**3 - 7*g**2 + 17*g - 3. Calculate the remainder when 137/5 + (-4)/10 is divided by y(-9).
3
Suppose -2*f + 7*f... | {
"pile_set_name": "DM Mathematics"
} |
*5/60 + 9*t**4/8 - 37*t**3/6 + 2330*t**2. What is j(-28)?
-9
Let n(p) = -17*p + 9. Let w(k) be the third derivative of -5*k**4/12 + 5*k**3/6 + 12*k**2 + 3*k. Let z(r) = 3*n(r) - 5*w(r). What is z(-7)?
9
Let c(o) = -5*o - 16. Let t(z) = 2*z + 6. Let p = -320 + 323. Let j(q) = p*c(q) + 8*t(q). Give j(3).
3
Let g(s) = s**... | {
"pile_set_name": "DM Mathematics"
} |
en that 3*f**4 + 78*f**3 + 756*f**2 + 3234*f + 5145 = 0.
-7, -5
Find z such that z**5/5 - 2*z**4 + 23*z**3/5 + 2*z**2 - 24*z/5 = 0.
-1, 0, 1, 4, 6
Find u such that -2*u**3 + 876*u**2 + 1758*u + 880 = 0.
-1, 440
Find l, given that l**4/2 + l**3/2 - 29*l**2 - 56*l = 0.
-7, -2, 0, 8
Solve y**5 + 11*y**4 + 38*y**3 + 52*y**... | {
"pile_set_name": "DM Mathematics"
} |
54*v**3/3 + 3300*v**2. What is the derivative of i(j) wrt j?
-3294
Suppose 98*w - 8*w = 0. Let v(j) be the second derivative of -13*j**2 + 0*j**3 + 0*j**4 + 10*j + 1/10*j**5 + w. What is the first derivative of v(g) wrt g?
6*g**2
What is the third derivative of 2*q + 4*q**2 + 2713*q**6 - 2*q**2 - 218*q**6 - 36*q - 28*q... | {
"pile_set_name": "DM Mathematics"
} |
**3) to i*d**2 + c*d**3 + l + n*d and give c.
834
Rearrange -12776*u + 12776*u - 1506 - 2*u**3 - 1196 to the form d + w*u**2 + p*u**3 + o*u and give w.
0
Express -7 - 2*d + 339*d**4 - 76*d**4 + 14*d**2 - 270*d**4 in the form z*d**4 + s*d**3 + t*d + a*d**2 + u and give u.
-7
Rearrange -109 - 32*j - 4*j + 18 - 3 to the f... | {
"pile_set_name": "DM Mathematics"
} |
ose -y = -r - 4*r. Suppose 4*h = -2*k + 1 + r, 5*h - 15 = 0. What is the highest common factor of 12 and k?
4
Let p = 18 + -16. Calculate the greatest common factor of p and 4.
2
Suppose 20 = -0*m + 4*m - 4*d, -2*m = 5*d - 38. Suppose -4*r + 106 = 5*b, 3*b - r + 94 = 8*b. Calculate the greatest common factor of m and b... | {
"pile_set_name": "DM Mathematics"
} |
the thousands digit of m(-13)?
3
Let f = -17 - -17. Suppose -3*y + 144 - 57 = f. What is the units digit of y?
9
Let c(r) = r**3 + 8*r**2 + 11*r + 15. Let d be c(-6). What is the tens digit of 8*d*(-4)/(-24)?
2
Let a be 4/(-22) + (-24)/(-11) - 11. Let i = a - -105. What is the tens digit of i?
9
Suppose -47 = -3*d - 2.... | {
"pile_set_name": "DM Mathematics"
} |
plify 2 + -4 + (5 + sqrt(320) - (sqrt(5) + 2*sqrt(40)/sqrt(8)) - (-2 + 2 + 1 + sqrt(5) + ((sqrt(220)/sqrt(4))/sqrt(11))**2)).
-3 + 4*sqrt(5)
Simplify (5*(2*sqrt(76)*1 + 5*sqrt(76)*2))/(((sqrt(264)*-2)/sqrt(6))/(sqrt(176)*-5)).
600*sqrt(19)
Simplify -1 + (0 + -1 + sqrt(147))**2 + -1 + -5 + -6*(sqrt(147)*-1)**2 + 3.
-738... | {
"pile_set_name": "DM Mathematics"
} |
ded by v?
12
Let q be 2 - ((-3)/(-2))/((-3)/6). Suppose -2*m + q*o = 3 + 1, -5*m + 20 = -5*o. What is the remainder when 54 is divided by m?
6
Let h(n) = 2*n + 76. Let a(q) = -3*q - 153. Let g(k) = -3*a(k) - 5*h(k). Calculate the remainder when g(13) is divided by 34.
32
Let k(d) = -d**3 + 6*d**2 + 8*d + 8. Let q = 139... | {
"pile_set_name": "DM Mathematics"
} |
(389/30)
Simplify (w**(-11)/(((w/w**(-18))/w)/w))/(w/(w/(w/(w*w*w**5))))**(5/7) assuming w is positive.
w**(-166/7)
Simplify (h**(-14))**(-11)*(h*h**(-4/11)/h)**(-6) assuming h is positive.
h**(1718/11)
Simplify ((z**(-2/5)/z)**(-3/4)/(((z*z*z*z*z**0*z)/z)/z)**(-46))**4 assuming z is positive.
z**(2781/5)
Simplify ((a*... | {
"pile_set_name": "DM Mathematics"
} |
l, -1, n in decreasing order.
n, l, -1, -4
Let x(i) = i**3 + i - 1. Suppose 9*p = 11*p - 3*p. Let v be x(p). Sort 5, -5, v, 1 in decreasing order.
5, 1, v, -5
Let u = -4.6 - -38.6. Let w = u + -39.8. Let k = -12.2 + w. Put 3, k, 0 in increasing order.
k, 0, 3
Let g(z) = -z**2 + 3*z - 3. Let x be g(2). Let c(o) = 15*o ... | {
"pile_set_name": "DM Mathematics"
} |
) = -1105*u. Determine -6*b(g) + 289*c(g).
-17*g
Let k(d) be the second derivative of -d**4/12 - d**3/6 - 2*d. Let v(u) = 0*u**3 - u**2 + 3*u - 4*u + u**3. Calculate 2*k(x) - v(x).
-x**3 - x**2 - x
Let c(h) = 3*h - 5. Let q(p) = -3*p + 6. What is 6*c(b) + 5*q(b)?
3*b
Let b = 68 + -61. Let i(g) = -10*g + 6. Let t(p) = -... | {
"pile_set_name": "DM Mathematics"
} |
e of v(p). What is the third derivative of n(b) wrt b?
96*b
Let s(a) = 12*a**2 - 2*a + 1. Let j be s(1). What is the second derivative of b - j - 10*b**2 + 11 wrt b?
-20
Let r be 436/(-6)*(-15)/10. What is the third derivative of -r*i**2 + 5*i**5 + i**5 + 114*i**2 wrt i?
360*i**2
Let f(q) = q**3 - 4*q**2 + q + 3. Let g... | {
"pile_set_name": "DM Mathematics"
} |
s and give g.
-32
Express 365*u - 364*u + 0 + 6 + 4801*u**2 - 4 + 849*u**2 in the form f*u + q + j*u**2 and give q.
2
Rearrange -8 - 98 + 65*p + 16 - 2 - 15*p to w*p + k and give k.
-92
Express 573*z**3 + 2*z**2 + 7 - 509*z**3 + z - 2*z**2 in the form c*z**3 + g*z + u + b*z**2 and give g.
1
Rearrange (3 + 2 - 6 + (-1 +... | {
"pile_set_name": "DM Mathematics"
} |
*(-48)
Simplify (k**3/k*k/k**(-2/9))**30/((k*k/(k/(k**(1/7)*k)*k)*k**(1/3))/(k**(-1/4))**(-23)) assuming k is positive.
k**(8479/84)
Simplify (((c**19*c/(c**(-1/30)*c))**(-1/13))**(2/3))**(-8) assuming c is positive.
c**(4568/585)
Simplify (h**(-9/2)/(h/((h**(2/15)*h)/h*h*h))*(h/(h/(h*h**(-2/7))*h))**(-4/21))**26 assum... | {
"pile_set_name": "DM Mathematics"
} |
nt from iclgcqqigccp. Give prob of picking 1 q, 1 l, and 1 p.
1/110
Calculate prob of picking 2 n and 2 j when four letters picked without replacement from {j: 11, n: 9}.
132/323
Calculate prob of picking 2 h and 2 c when four letters picked without replacement from hhhchhhhchc.
14/55
Two letters picked without replace... | {
"pile_set_name": "DM Mathematics"
} |
7/4, 5
Put -3, -8, -9, 4 in decreasing order.
4, -3, -8, -9
Sort -1, -5, 0.4, 7 in decreasing order.
7, 0.4, -1, -5
Sort 4.2, -2/9, 4/5, -2.
-2, -2/9, 4/5, 4.2
Sort 0.054, 2, 2/101.
2/101, 0.054, 2
Put 3, 9, 157 in descending order.
157, 9, 3
Sort 4, 6, -13 in increasing order.
-13, 4, 6
Sort -0.06, -0.3, -3, -1 in de... | {
"pile_set_name": "DM Mathematics"
} |
(-5 + 0 + sqrt(396))**2).
-183*sqrt(11) + 1281
Simplify -3 + (sqrt(49)/(sqrt(14)/sqrt(2)))**2 + (sqrt(42) + (sqrt(42) - sqrt(504)/(sqrt(192) + sqrt(12) - sqrt(12))))/sqrt(6).
4 + 7*sqrt(7)/4
Simplify 1*(4 + -3*1*(-2 + sqrt(171)) + -5).
-9*sqrt(19) + 5
Simplify ((sqrt(320) + sqrt(320) + -1 + sqrt(320) + 2 - sqrt(320) -... | {
"pile_set_name": "DM Mathematics"
} |
Round k to five dps.
0.00007
Let a = 170 - 169.842. Let t = 0.158162 - a. Round t to 5 decimal places.
0.00016
Let c = -4.1 + -237.9. Let b = 590 + c. Let o = b - 348.000157. What is o rounded to five decimal places?
-0.00016
Suppose w = 4*u + 397596, 14*u - 2*w = 16*u + 198808. Round u to the nearest 10000.
-100000
L... | {
"pile_set_name": "DM Mathematics"
} |
v + -105. Let j = -23 - f. What is the third smallest value in 0, j, -54?
0
Let u be (6 + -22 + 15)*7. What is the second biggest value in -2/3, u, 163?
-2/3
Let y = -57.75 + 49.5. Let i = y + 12.65. What is the smallest value in 3/7, -2, 0.1, i?
-2
Let i = 29 - 28.1. Let x = -355 - -349. Which is the second smallest ... | {
"pile_set_name": "DM Mathematics"
} |
-12 in 8, -0.01, 1?
-0.01
What is the nearest to -6 in 2, -8, 0.61?
-8
What is the nearest to -5 in -2, -0.1, 3/7, 16, -4?
-4
What is the nearest to 11 in 0.3, -0.033, -0.5, 0, 2/11?
0.3
Which is the nearest to -1.88? (a) -0.2 (b) 2 (c) 2/5 (d) 6
a
Which is the nearest to -14? (a) 0.04 (b) 6/7 (c) 27.5
a
Which ... | {
"pile_set_name": "DM Mathematics"
} |
*6/360 + c**3/6 + 2*c**2. Let u(k) be the first derivative of v(k). Find the third derivative of u(n) wrt n.
120*n**2
Suppose 7*p + 5 - 5 = 0. Let d(l) be the second derivative of 0 + 2*l + 1/6*l**3 + 0*l**4 - 1/5*l**5 + p*l**2. Find the second derivative of d(v) wrt v.
-24*v
Let c(b) = -48*b + 21. Suppose -l - 10 = -6... | {
"pile_set_name": "DM Mathematics"
} |
90. Give d(-49).
6
Let g(f) = 12686*f - 12696. What is g(1)?
-10
Let y(j) = 1509*j + 48295. Give y(-32).
7
Let t(p) = 61*p**2 + 1066*p + 58. Calculate t(-16).
-1382
Let k(h) = 3*h**3 - 250*h**2 + 125*h - 3505. Give k(83).
-19
Let l(q) = -q**2 + 274*q - 4066. Calculate l(259).
-181
Let r(z) = 2*z**3 - 67*z**2 + 85*z + 4... | {
"pile_set_name": "DM Mathematics"
} |
e prime factors of u.
2, 3
Let l = 163 - 264. Let g = -33 + -26. Let j = g - l. What are the prime factors of j?
2, 3, 7
Suppose -3*l = 4*s - 2840, l + 729 - 3577 = -4*s. What are the prime factors of s?
23, 31
Let t = -3986 - -6417. List the prime factors of t.
11, 13, 17
Suppose -5769 = -g + b, 36*g - 28847 = 31*g + ... | {
"pile_set_name": "DM Mathematics"
} |
15
Let t = -1 + 5/4. Let u be 84/(-12) + (-1 - -9) - (-9)/(-12). Factor -u*x - t*x**2 + 0.
-x*(x + 1)/4
Let j = -94739/4368 + 282/13. Let d(f) be the third derivative of -5*f**2 + 0*f**4 - 1/105*f**7 + 0 + 0*f**3 + 0*f**5 + j*f**8 + 0*f + 1/120*f**6. Factor d(p).
p**3*(p - 1)**2
Suppose -74*s - 3 = -75*s. Let -4*y - 4*... | {
"pile_set_name": "DM Mathematics"
} |
on.
-9000000
Round 79.89 to the nearest ten.
80
Round 701860 to the nearest 100000.
700000
Round 1.54685 to 1 dp.
1.5
Round -0.0019837 to four dps.
-0.002
Round 95258000 to the nearest one million.
95000000
What is -0.000003122 rounded to six decimal places?
-0.000003
What is 0.00022285 rounded to five decimal places?
... | {
"pile_set_name": "DM Mathematics"
} |
-26.8 - y. Which is bigger: r or -25?
r
Let c(v) = v**2 + 3*v - 3. Let f be c(4). Let a = 27 - f. Let x = 237 - 701/3. Is a > x?
False
Let j(f) = f**2 + f - 21. Let u be j(0). Let m = u - -24. Suppose 5 = m*l + 17. Are -4 and l non-equal?
False
Let s(w) = w**2 - 28*w - 61. Let m be s(30). Do 2/1265 and m have the same ... | {
"pile_set_name": "DM Mathematics"
} |
(g) = -324*g**2. Calculate -428*l(k) + 3*v(k).
-321*k**2
Let x(n) = -9*n**2 - 11*n - 5. Let w = -177 - -172. Suppose 0 = 5*r + 6*a - 2*a - 36, 3*a = r - 11. Let i(z) = -14*z**2 - 17*z - 8. Calculate r*x(y) + w*i(y).
-2*y**2 - 3*y
Suppose 5*d = 3*q + 37, 2*q - 3*q + 3*d = 19. Let k(j) = 12*j. Let b(g) = 3*g. Give q*k(n)... | {
"pile_set_name": "DM Mathematics"
} |
n 7 is divided by s.
3
Suppose 0 = -5*j + 2*j + 39. Calculate the remainder when 258 is divided by j.
11
Let o(t) = t**3 - 7*t**2 + 4. Suppose -x - 4*a + 15 + 4 = 0, 0 = -5*x - 3*a + 44. Calculate the remainder when 15 is divided by o(x).
3
Let m be ((-32)/20)/(2/35). Let z be (4/8)/(2/m). What is the remainder when 47... | {
"pile_set_name": "DM Mathematics"
} |
ing 3 y.
4/5
Two letters picked without replacement from ooofooofoooofoooofof. What is prob of picking 1 f and 1 o?
15/38
Four letters picked without replacement from {f: 7, u: 2, h: 11}. What is prob of picking 1 h, 1 f, and 2 u?
77/4845
What is prob of picking 3 o when three letters picked without replacement from {n... | {
"pile_set_name": "DM Mathematics"
} |
he common denominator of 157/191724 and 16/11.
2108964
Calculate the least common multiple of 73866 and 12.
147732
Calculate the common denominator of 97/50040 and -2/121.
6054840
Find the common denominator of 107/354348 and 57/1544.
708696
What is the least common multiple of 128 and 654416?
5235328
What is the commo... | {
"pile_set_name": "DM Mathematics"
} |
27. Let g(f) = 4*q(f) + 11*u(f). What is the hundreds digit of g(12)?
1
Let o(v) be the third derivative of 11*v**5/10 + v**4 + 23*v**3 + 3*v**2 - 36*v. What is the thousands digit of o(-5)?
1
Let r = 24366 + -13341. What is the hundreds digit of r?
0
Let m = -596 + 596. Suppose m = 7*r - 4258 - 1118. What is the tens... | {
"pile_set_name": "DM Mathematics"
} |
at is the smallest value in 6, 31/5, 60, -3/2, -3, -655?
-655
What is the third smallest value in 0.02, 491033, 0.44?
491033
What is the fourth biggest value in -29, -4, 0.83, 3, 3/134?
-4
What is the fourth biggest value in -5/13, 4, 2/5, 1, -24, -67, -0.1?
-0.1
Which is the smallest value? (a) 219986 (b) -7 (c) -0... | {
"pile_set_name": "DM Mathematics"
} |
ose -58*g - 13 = -45*g. What is the closest to 5 in b, 4, g?
4
Let t = -1.5 + 1.2. Let y = 13.74 - 14. Let m = -2.26 - y. Which is the closest to -0.4? (a) m (b) -5 (c) t
c
Let p = -0.037 + -0.063. Which is the nearest to 0? (a) -4 (b) 14 (c) p
c
Let o be 2 - -2 - (-2)/(-1 - 1). Let q = 4798447/145 + -33093. Let ... | {
"pile_set_name": "DM Mathematics"
} |
/7) assuming q is positive.
q**(-1644/287)
Simplify ((g**14*g*g**(-6/5))**(10/7))**42 assuming g is positive.
g**828
Simplify (s**(-17)/s*s**0)/(((s/s**16)/s)/s)**32 assuming s is positive.
s**526
Simplify (c*(c/c**(-7))/c*c)**(-2/3)*c**(-1/4)*c**(-2) assuming c is positive.
c**(-33/4)
Simplify ((d/(d*d**(-9/5)))/(d**9... | {
"pile_set_name": "DM Mathematics"
} |
t is the units digit of b(j)?
0
Suppose -3*p + 9*p - 102 = 0. What is the tens digit of p?
1
Let h(b) = -b**3 + 3*b**2 + 6*b - 3. Let m be h(4). Suppose 0 = -s + 2*s - 4. Suppose s = -k + m*k. What is the units digit of k?
1
Suppose 0 = 4*l + j - 66, 9 = l + j - 6. What is the units digit of l?
7
Suppose 0 = -23*t + 24... | {
"pile_set_name": "DM Mathematics"
} |
f - 1. Let b be k(-3). Suppose 0 = b*s + d - 31, -4*s + s + 46 = 2*d. Calculate the lowest common multiple of 16 and s.
16
Suppose 0 = 3*y - 27 + 87. Let o = -14 - y. What is the least common multiple of 4 and o?
12
Suppose 3*s - s + 108 = 0. Let n = -47213/10 - -4725. Find the common denominator of n and (285/s)/1 + 1... | {
"pile_set_name": "DM Mathematics"
} |
y*a and give g.
18
Express -2*y**2 + 0*y**3 - y**3 + 105 - 103 as p*y**2 + b + o*y**3 + g*y and give b.
2
Rearrange -2*i**4 + 13*i**2 - 4*i - 192 + 191 + 2*i to the form s*i**3 + d + k*i**4 + b*i**2 + v*i and give b.
13
Express (4*t - 4*t + t**2)*(3*t - t - t)*(-5 + 6 + 10) in the form o*t**2 + k + h*t**3 + v*t and giv... | {
"pile_set_name": "DM Mathematics"
} |
82
What is the v'th term of -83, -647, -2249, -5447, -10799, -18863, -30197, -45359?
-93*v**3 + 39*v**2 - 30*v + 1
What is the a'th term of -562773, -562823, -562905, -563019, -563165?
-16*a**2 - 2*a - 562755
What is the k'th term of -33781, -67553, -101363, -135229, -169169, -203201, -237343?
-3*k**3 - k**2 - 33748*k ... | {
"pile_set_name": "DM Mathematics"
} |
0
Let s(g) = -g**2 - 6*g - 19. Let z(y) = y**2 + 6*y + 19. Let m(i) = 5*s(i) + 6*z(i). What is the units digit of m(-16)?
9
Suppose 11*a - 6 = 8*a. Let w(l) = -15 - l**a - 21 + 34 + 18*l. What is the units digit of w(14)?
4
Let x(f) = f**3 + 5*f**2 + 5*f + 11. Let l(k) = -2*k**3 - 4*k**2 - 6*k - 12. Let d(r) = 2*l(r) ... | {
"pile_set_name": "DM Mathematics"
} |
l)*(1 + 0 - 2) + 2*l + 7*l - 8*l + 3*l + 0*l - l.
4*l
Expand (2*v + 0*v - v)*(-1 - 1 + 4) - 2 - 3 + 4 + v.
3*v - 1
Expand (9 - 7 - 5)*(0*q + q - 2*q).
3*q
Expand -7*y**3 - 10*y**5 + 7*y**3 + (y + 2*y**4 - y)*(-7*y + 12 - 12).
-24*y**5
Expand (0*v + 3*v - 4*v)*(-174 + 174 + 51*v).
-51*v**2
Expand (-4 + 1 + 4)*(0 - 1 + 3... | {
"pile_set_name": "DM Mathematics"
} |
d to one decimal place?
-3004.6
What is -0.001067342071 rounded to six dps?
-0.001067
Round -0.0000695591429 to 7 dps.
-0.0000696
What is 0.1842629786 rounded to four decimal places?
0.1843
What is -339.33747 rounded to the nearest ten?
-340
Round -36947.31 to the nearest ten.
-36950
Round 1303.41492 to the nearest one... | {
"pile_set_name": "DM Mathematics"
} |
-5 for n.
-3
Solve 0 = 43*w - 39*w - 8 for w.
2
Solve 0 = 7*y - 48 + 20 for y.
4
Solve 7*g - 11 = 17 for g.
4
Solve 3828 = -15*d + 3738 for d.
-6
Solve 0 = 14*d - 0*d + 14 for d.
-1
Solve 0 = 5*q + 38 - 28 for q.
-2
Solve 18*u - 28*u = 40 for u.
-4
Solve -12*u - 21 = -5*u for u.
-3
Solve 6*q + 7*q = -26 for q.
-2
Solv... | {
"pile_set_name": "DM Mathematics"
} |
05578.
2, 11, 4799
What are the prime factors of 54187?
7, 7741
List the prime factors of 9686.
2, 29, 167
What are the prime factors of 14028?
2, 3, 7, 167
What are the prime factors of 2288?
2, 11, 13
List the prime factors of 5366.
2, 2683
What are the prime factors of 14245?
5, 7, 11, 37
What are the prime factors ... | {
"pile_set_name": "DM Mathematics"
} |
+ 25*g*j**2 - 2*j**2*o**2 + 2*j**2 wrt g.
-f*j**2*o**2 + 3*f*j + 25*j**2
What is the third derivative of 1590*r**3 - 1000*r**2 wrt r?
9540
What is the second derivative of -77*u**3*x - 2*u**2*x - 5*u*x + 28*x + 1 wrt u?
-462*u*x - 4*x
What is the second derivative of -39*v**5 - 342*v**2 - 15404*v?
-780*v**3 - 684
What... | {
"pile_set_name": "DM Mathematics"
} |
t(z(s))?
-18*s
Let q(z) = -7*z. Let g(m) = -85*m**2 + 11*m - 39*m + 12*m + 16*m. Determine g(q(i)).
-4165*i**2
Let c(o) be the first derivative of o**5/15 + 14*o**3/3 + 14. Let a(p) be the third derivative of c(p). Let s(x) = x**2. Determine s(a(f)).
64*f**2
Let c(m) = -5*m. Let k(j) = -2*j**2 - 26949*j. What is c(k(z... | {
"pile_set_name": "DM Mathematics"
} |
4*t
What is the p'th term of -38, -76, -102, -110, -94, -48?
p**3 - 45*p + 6
What is the s'th term of 223, 223, 213, 187, 139, 63?
-s**3 + s**2 + 4*s + 219
What is the k'th term of 9, 24, 51, 90, 141, 204, 279?
6*k**2 - 3*k + 6
What is the y'th term of -21, -19, -7, 21, 71, 149, 261?
y**3 - y**2 - 2*y - 19
What is the... | {
"pile_set_name": "DM Mathematics"
} |
Let p = 1465.2 - 1465. Let w be ((-4)/(-16))/(1/8). Suppose 5*j = -22 + w. Which is the smallest value? (a) j (b) p (c) -6
c
Let w = -0.33 - -19.33. Let o = w - 19.3. Suppose 5*d - 11 = -4*f + 14, 3*f = -2*d + 10. What is the second smallest value in 0, d, o?
0
Let r = -47419/42 - -1129. Let n = 27 - 23. Which is th... | {
"pile_set_name": "DM Mathematics"
} |
= 38 - 37. Differentiate 2 + 6*l**3 + 7*l**3 + r with respect to l.
39*l**2
Find the third derivative of 76804 - 372*x**2 - 76804 - 179*x**6 wrt x.
-21480*x**3
Let y(s) be the first derivative of -s**6/3 + 163*s**4/4 + 201*s**2/2 + 49. Find the second derivative of y(p) wrt p.
-40*p**3 + 978*p
Differentiate -10*m + 10... | {
"pile_set_name": "DM Mathematics"
} |
st value in 1/10, -1/4, 2, -9, 0.4?
1/10
Which is the fourth smallest value? (a) 5 (b) 0.5 (c) -1 (d) 0.4 (e) -89/2
b
What is the fourth smallest value in -3, -3/4, 5.4, -2/5?
5.4
Which is the second smallest value? (a) 2 (b) 3 (c) -17
a
What is the second biggest value in 0.05, 37, 1/9?
1/9
Which is the smalle... | {
"pile_set_name": "DM Mathematics"
} |
ominator of l and 16.
6
Let p = 50 + -30. Let i = 220 + -221. Calculate the smallest common multiple of p and 20 + (-6 - ((3 - 4) + i)).
80
Suppose 104 = 4*m + 96. Let p(c) = 2*c**3 - 2*c**2 - 4*c + 4. Calculate the least common multiple of 32 and p(m).
32
Let a(y) = -y**2 + 15*y - 22. Let x(z) = z + 1. Let c(r) = a(r)... | {
"pile_set_name": "DM Mathematics"
} |
0 = -8*u + 11596 - 3324. Suppose -618 = 3*d - 2*t, 4*t + u = -5*d + 6*t. Let b = -18 - d. Does 19 divide b?
True
Let c(s) = -2*s**3 + 6*s**2 + 3*s + 5. Let a be c(4). Let q(p) = -24*p - 50. Does 31 divide q(a)?
True
Let r be (-1 - -5) + (-6 - (5 - 372)). Suppose -8*m + 10*m - 3*a - 141 = 0, 5*m + 5*a - r = 0. Is m a m... | {
"pile_set_name": "DM Mathematics"
} |
g order.
r, -2/9, a
Let z be -2 - (0 - -1)/(3/(-12)). Put 5, z, -1, -25 in increasing order.
-25, -1, z, 5
Let i = -271/7 + 39. Put -3, i, -4 in descending order.
i, -3, -4
Let d = 9 + 3. Let a be 2/6 - 19/d. Let s = 63.8 - 61.8. Put a, 0, s in decreasing order.
s, 0, a
Let w = 2 - 7. Sort w, -6.6, -0.1, -0.4 in decrea... | {
"pile_set_name": "DM Mathematics"
} |
the second derivative of -1678*x**4 + x + 472 wrt x.
-20136*x**2
Differentiate -247*b**3*c**3*j - 3*b**3*c**3 + 12*b**2*c**3 - b*c**3*j + 1 with respect to j.
-247*b**3*c**3 - b*c**3
Find the second derivative of a**4*n + 2*a**4 + 2148*a**2 + 2*a*n + a - 414*n wrt a.
12*a**2*n + 24*a**2 + 4296
Find the second derivativ... | {
"pile_set_name": "DM Mathematics"
} |
d**2
Let y(o) = -14673*o. Let i(u) = -6*u. What is i(y(m))?
88038*m
Let a(t) = -t. Let j(u) = 1. Let k(i) = 3*i + 5. Let l = -1 - -27. Let r = l + -11. Let y(f) = r*j(f) - 3*k(f). Determine a(y(h)).
9*h
Let y = 57 - 55. Let u(v) = -6*v + 9*v**2 - 11*v**y + 6*v. Let f(k) = -3*k. Calculate u(f(x)).
-18*x**2
Let v(q) = 3 ... | {
"pile_set_name": "DM Mathematics"
} |
s in -5*j**3 + j**3 - j**2 + 8*j**3 + 5*j**2.
4*j**3 + 4*j**2
Collect the terms in 9*i**2 + 18*i**2 + 8*i**2 + i**3 - 34*i**2.
i**3 + i**2
Collect the terms in -41 - s + 0*s + 28 - 54.
-s - 67
Collect the terms in 63*f + 139*f - 99*f + 188*f.
291*f
Collect the terms in 0*u**3 + 3*u**3 + 11041*u - 11041*u.
3*u**3
Collec... | {
"pile_set_name": "DM Mathematics"
} |
e 25 = 5*l, 0 = -3*t + m*t - 3*l + 23. Is t a multiple of 3?
False
Suppose -1 - 16 = -x. Does 5 divide x?
False
Let s be ((-52)/6)/(4/(-60)). Let a = s - 79. Does 17 divide a?
True
Let p(t) = 96*t - 28. Is 13 a factor of p(3)?
True
Suppose -4*x - x + 147 = 2*a, 3*a + 84 = 3*x. Is 12 a factor of x?
False
Suppose -7 = 5*... | {
"pile_set_name": "DM Mathematics"
} |
a(12) a multiple of 10?
True
Does 13 divide (-6)/(-432)*-12 + 50894/12?
False
Let g = 457 + 107. Suppose -l + 0*l = -g. Suppose 0 = 6*d - 366 - l. Is 31 a factor of d?
True
Let z = 356 + -361. Let w(v) = -4*v**3 - v**2 - 15*v - 56. Is w(z) a multiple of 12?
False
Suppose 0 = -4*z + g + 9981, 3*g = 2*z - 3275 - 1728. Do... | {
"pile_set_name": "DM Mathematics"
} |
0) + (11*c + 1062 - 1062)*(-2*c**2 - c + c).
-23*c**3
Expand (-5*h + 2*h + 4*h)*(-3 - 2 + 0).
-5*h
Expand (-6 - 2 + 2)*(-4*m**4 - 2*m**4 + 3*m**4) + 0*m**4 + 0*m**4 + m**4.
19*m**4
Expand (-2 + 2 - 1)*(4*d - 4*d - d)*(-11 + 11 - 4*d).
-4*d**2
Expand (c**2 + 0*c**2 - 3*c**2)*(4*c**3 - c**3 - 4*c**3) + 4*c**5 + 0*c**5 - ... | {
"pile_set_name": "DM Mathematics"
} |
is bigger: i or 0?
0
Let u(k) = 4*k. Let q be u(-2). Let l = q + 12. Suppose d + 33 - 8 = 4*n, -l*d - 3*n = 5. Do -5 and d have the same value?
True
Let x = -0.8 + 1. Let n = 4 - 18. Let z = -16 - n. Which is smaller: x or z?
z
Suppose 0 = -9*w + 16 + 164. Which is smaller: 21 or w?
w
Let v = -70 - -50. Let z be 4/(8/... | {
"pile_set_name": "DM Mathematics"
} |
at is the first derivative of -45661*z - 20854?
-45661
What is the second derivative of -1364558*a**2 - 2*a + 9343?
-2729116
Find the third derivative of -10*a**5 - 3265*a**4 + 2*a**3 + 227697*a**2.
-600*a**2 - 78360*a + 12
What is the second derivative of 1078*d**5 - 2*d**3 + 23*d**2 - 2*d - 704679 wrt d?
21560*d**3 -... | {
"pile_set_name": "DM Mathematics"
} |
+ 6*s(y). Differentiate b(z) wrt z.
39
What is the derivative of 2616 + 935*g - 901*g - 1466*g + 2979 - 1494*g wrt g?
-2926
Find the third derivative of 2006228*a**6 - 2003665*a**6 - a**3 + a**3 + 5437*a**2 wrt a.
307560*a**3
Let y be -1 + -1*(-1 + 0/(-1)). Suppose y = 2*a + 6*x - x - 15, 2*a + 4*x - 16 = 0. What is th... | {
"pile_set_name": "DM Mathematics"
} |
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