text stringlengths 8.19k 8.19k | meta dict |
|---|---|
518521?
197/8518521
-2014155 divided by 45
-44759
5 divided by 25167115
1/5033423
Calculate 21 divided by -432274.
-21/432274
Calculate -2737 divided by 4158.
-391/594
What is 48446389 divided by 6?
48446389/6
Calculate -13 divided by 821515.
-13/821515
What is -7433892 divided by 1858473?
-4
Calculate 0 divided by -41... | {
"pile_set_name": "DM Mathematics"
} |
e 4*w + 2 = 5*l + 32, -8 = 4*l. What is the nearest to w in 0.1, p, -4, -2/9?
0.1
Let n = -10.8 + 10.74. Suppose 4*z + q = -2*q + 131, 0 = 4*z - 4*q - 124. Let u be (-4)/(-6)*(-12)/z. Which is the nearest to 0.1? (a) n (b) 4 (c) u
a
Let n(i) be the second derivative of 7*i - 1/12*i**4 - 1/2*i**3 + 0 + 9/2*i**2. Let ... | {
"pile_set_name": "DM Mathematics"
} |
) + 1 + -3 - ((sqrt(98) + sqrt(98)*-2 - sqrt(98) - sqrt(98))*-5 - (sqrt(98) + 0 + 5)))**2.
-180*sqrt(2) + 16201
Simplify ((-6*1*sqrt(81))/(sqrt(21)/(sqrt(28)/sqrt(4)*-2)))**2.
3888
Simplify (sqrt(7200) - 2*(sqrt(7200) + -2*sqrt(7200) - sqrt(7200)))/((sqrt(480) + sqrt(480)*2)/sqrt(3)).
5*sqrt(5)
Simplify (1*((sqrt(56) -... | {
"pile_set_name": "DM Mathematics"
} |
-1601462*y - 1
What is the u'th term of -797, -3049, -6797, -12035, -18757, -26957, -36629, -47767?
u**3 - 754*u**2 + 3*u - 47
What is the k'th term of 181411, 362818, 544223, 725626, 907027, 1088426?
-k**2 + 181410*k + 2
What is the x'th term of 4766, 4747, 4728, 4709?
-19*x + 4785
What is the j'th term of 34210, 683... | {
"pile_set_name": "DM Mathematics"
} |
.
662
Rearrange (-6 + 6 + 2)*(271182*y - 11*y**2 - 271182*y) to l*y + j*y**2 + h and give l.
0
Express k**2 - 46*k**3 - k**3 + 32 + 2*k**3 - 2*k**4 - 11 - 19 as t*k**3 + d*k + i + o*k**2 + m*k**4 and give o.
1
Express 3 - 5 + 2*b + 21 + (b + 0 + 0)*(0 - 2 + 3) - b + 2*b + b + 3 + 2 - b - 2 as h*b + i and give i.
22
Rea... | {
"pile_set_name": "DM Mathematics"
} |
**2 - t*r**3. Factor m(u).
5*(u - 3)*(u - 1)
Let i be (-2 - -2) + -2*(3 + -4). Let n be (12/165)/(i/10). Factor -2/11 + n*s - 2/11*s**2.
-2*(s - 1)**2/11
Factor -12/19*f - 2/19*f**3 + 0 + 14/19*f**2.
-2*f*(f - 6)*(f - 1)/19
Let l = 68 + -66. Factor 4*n - 2*n + n**2 - n - l*n**2.
-n*(n - 1)
Let l(d) be the third derivat... | {
"pile_set_name": "DM Mathematics"
} |
j + 102. Calculate y(4).
10
Let a(r) = 451*r - 15383. Calculate a(34).
-49
Let y(v) = -131*v**2 - 616*v - 734. Determine y(-2).
-26
Let j(w) = 11*w**3 + 31*w**2 - 44*w + 32. Determine j(-4).
0
Let v(q) = -q**2 + 263*q - 11475. What is v(207)?
117
Let c(j) = -4280*j**2 + 17235*j + 3. What is c(4)?
463
Let i(y) = 6*y**2 ... | {
"pile_set_name": "DM Mathematics"
} |
10)
Let s(k) be the first derivative of k**4 - 4996*k**3/3 + 778750*k**2 + 1562500*k - 6395. Factor s(x).
4*(x - 625)**2*(x + 1)
Let d = -6121049/19 + 322161. Determine a, given that -2/19*a**4 + 0*a + 0 - 8/19*a**2 + d*a**3 = 0.
0, 1, 4
Let m(i) be the second derivative of -i**7/3780 - i**6/40 - 11*i**4/12 + 18*i + 6... | {
"pile_set_name": "DM Mathematics"
} |
4 for x.
-2
Suppose -5*d + 3*f = 2 - 0, 5*d - 14 = -f. Let g(p) = p + 7. Let o be g(-7). Solve o = -d*x - 2*x for x.
0
Suppose 21*u - 19*u - 52 = 0. Solve h - 29 = -u for h.
3
Suppose g + 97 = -5*z, -2*z = -3*g + 58 - 9. Let p be ((-30)/z)/(1/2). Solve y + 2*y + p = 0 for y.
-1
Suppose 2*v + 4*t = 64, -t = 22 - 27. Sol... | {
"pile_set_name": "DM Mathematics"
} |
when o is divided by r?
6
Suppose 8*f - 408 = 2*f. Calculate the remainder when f is divided by 6.
2
Let h(t) = -3*t**3 - 2*t**2 + t - 1. What is the remainder when 24 is divided by h(-2)?
11
Let j(r) = -r**2 - 12*r + 11. Let u(n) = n - 3. Let g be u(-8). Calculate the remainder when 85 is divided by j(g).
19
Suppose ... | {
"pile_set_name": "DM Mathematics"
} |
is the least common multiple of 198 and 93049?
1674882
Calculate the smallest common multiple of 183 and 883.
161589
Calculate the common denominator of -56/3903 and 107/62448.
62448
What is the common denominator of -7/30 and -2/63387?
633870
What is the common denominator of 87/112 and 119/47184?
330288
What is the ... | {
"pile_set_name": "DM Mathematics"
} |
*1. Let t = -20 - s. Let g(l) = -l + 3. What is g(t)?
3
Let l(w) = -2*w**2 + w - 1 + 3*w**2 + 2*w**3 + 0*w. Suppose o = -t, -3*o + 2 = -t - 2. Calculate l(o).
3
Let l(h) = -h**2 - 34 + 35 - h**2 - 3*h. Let d be (6/(-8))/(6/24). Calculate l(d).
-8
Let r(u) = 2*u + 6. Suppose -3*w + 4 = -w. Let d be 1 + w + (-6 - 1). Let... | {
"pile_set_name": "DM Mathematics"
} |
ext term in -1823, -5472, -11031, -18512, -27927, -39288?
-52607
What is the next term in -205633, -205621, -205601, -205573?
-205537
What is next in 11669, 11904, 12251, 12710, 13281, 13964?
14759
What is the next term in -366, -1224, -2570, -4404, -6726, -9536, -12834?
-16620
What is next in 78917, 157556, 236213, 31... | {
"pile_set_name": "DM Mathematics"
} |
589 = -3*w. Let v = 3 - 2. Suppose 4*q - 2*x - 19 = w, v = -x. Is q composite?
False
Suppose -q + 5*l = -231, -3*q + l + 711 = 4*l. Let u(b) = 2*b + 1. Let o be u(2). Suppose z - o*z = -q. Is z composite?
False
Suppose -57 - 18 = -3*p. Let o = p - 5. Let r = o - -29. Is r prime?
False
Let l = 2 + -6. Let r be 1/l - (-... | {
"pile_set_name": "DM Mathematics"
} |
rounded to the nearest one hundred thousand?
-800000
Let u = -0.30505 - -179.19505. Let a = u - 178. What is a rounded to one dp?
0.9
Let v = -23.7 + 18. What is v rounded to 0 decimal places?
-6
Let q = 92.9999934 - 93. Round q to six dps.
-0.000007
Let w = 21.13 - 21. Let p = w + -2.03. Let i = p + 1.56. What is i r... | {
"pile_set_name": "DM Mathematics"
} |
t value? (a) -2 (b) 2 (c) 111 (d) 0.05 (e) 1 (f) 192/13
d
Which is the smallest value? (a) 0.3 (b) 14 (c) 5/2 (d) 22 (e) 0.01 (f) 3 (g) -6
g
What is the sixth biggest value in -31, -4, 2/5, -2/9, -5, -4/57?
-31
What is the third smallest value in 3, 5, 0.03, -0.5, -3, 42, 71?
0.03
Which is the smallest val... | {
"pile_set_name": "DM Mathematics"
} |
.15. Suppose 0 = -2*d + 5*n - 44 + 84, 6*d + 3*n + 24 = 0. What is the smallest value in -5, d, -0.3, h?
-5
Let o = -339 - -338.233. Let p = o + 0.8. Let j = p - -3.967. Which is the fourth biggest value? (a) j (b) 3 (c) -0.3 (d) -7
d
Let s = -3.5 - -4. Let m = 24547 + -24546.8. Let c be 2/9 + (-78)/108. What is th... | {
"pile_set_name": "DM Mathematics"
} |
0.03, -2/9?
-1
What is the nearest to -2/5 in 2/15, -0.1, -1594, -2/5?
-2/5
What is the nearest to 1 in 3.59, 2, 0.5?
0.5
What is the closest to -3/8 in 3, -4/5, 0.5?
-4/5
Which is the closest to 0.1? (a) -1/3 (b) -2/11 (c) -4 (d) -3/8
b
Which is the closest to -1? (a) 0.3 (b) 0 (c) 5
b
Which is the nearest to ... | {
"pile_set_name": "DM Mathematics"
} |
, 3/5, -0.03, -3/2?
3/5
What is the closest to 0.1 in -0.5, 0, 1, -476?
0
What is the closest to 1/2 in -7, 3/7, 1, -4?
3/7
What is the nearest to -0.1 in -0.5, -1, -0.2, 3?
-0.2
What is the closest to -5 in 20, -1/2, 4, 0.4?
-1/2
What is the closest to -679 in 5, -0.4, -0.7, 1/3?
-0.7
Which is the nearest to 0.1? (a)... | {
"pile_set_name": "DM Mathematics"
} |
3. Solve -4*i - g = 5*z, z - 4*i - 28 = 5*z for z.
-4
Let r be ((-14)/(-3) - 4)/((-1)/3). Let l = r - -2. Solve d = -1 - l, -3*s + 4*d + 1 = 0 for s.
-1
Let m be ((-3)/(-4))/(3 + (-21)/8). Solve -2 = -x, m*f + x = -3 - 3 for f.
-4
Let t = -283 + 283. Solve 2*r = 2*z, t*r = 3*z + 3*r - 6 for z.
1
Let q = -9 + 13. Suppos... | {
"pile_set_name": "DM Mathematics"
} |
d derivative of s**5/15 - 54*s**2. Calculate m(u(i)).
-8*i**2
Let o(q) = 2*q**2 + 2*q**2 - 3*q**2. Let z(n) = -2*n + 1. Let l(g) = -1. Let t(s) = -l(s) - z(s). Determine t(o(a)).
2*a**2
Let n(p) = p**2. Let a(c) = 2*c**2. Let l(y) = 3*a(y) - 8*n(y). Let v(t) = 3*t**2 + 2. Let z(o) = 7*o**2 + 5. Let m(i) = -10*v(i) + 4*... | {
"pile_set_name": "DM Mathematics"
} |
mainder when 291 is divided by g.
46
Let t = -15 + 29. Let b(y) be the first derivative of 13*y**2/2 + y - 23. Calculate the remainder when b(2) is divided by t.
13
Suppose 376 = 7*f - 93. Calculate the remainder when f is divided by ((-3)/1 - -5) + 21.
21
Let b = 37 - 22. Suppose 9 = q - b. What is the remainder when ... | {
"pile_set_name": "DM Mathematics"
} |
7/22 and n.
66
Let p be 1/(-6) - 5139/(-54). Suppose -p = u + 4*u. What is the common denominator of 0 + u*2/16 and -41/8?
8
Suppose -2*a + 3*o - 4 = 0, 3*a + 2 = -a + 3*o. Calculate the common denominator of (-550)/(-264) + 0 + a and 7/(-12)*(-129)/21.
12
Let o(r) = r**3 + 33*r**2 + 24*r - 121. Calculate the lowest co... | {
"pile_set_name": "DM Mathematics"
} |
t is the greatest common divisor of m and k?
25
Let b(p) = -132*p**2 - 10*p + 9. Let z be b(1). Let t = 150 + z. Calculate the highest common divisor of t and 51.
17
Let t be (15/25)/((-3)/(-135)). What is the greatest common factor of t and 72?
9
Let g(z) = -18*z + 3. Let o be g(-6). Suppose 4*m - o - 81 = 0. What is ... | {
"pile_set_name": "DM Mathematics"
} |
What is the hundreds digit of 3/(j/8 + (-11258)/(-43784))?
4
Let d = 14526 + -7982. What is the units digit of d?
4
Let r(b) = 10 - 14 - 5 - 5*b. Let f(j) = 21*j + 37. Let v(o) = 4*f(o) + 18*r(o). What is the units digit of v(-7)?
8
Let c(h) be the first derivative of h**3 - h**2 + 82*h + 58. What is the units digit of... | {
"pile_set_name": "DM Mathematics"
} |
2)/2
Let y(q) be the third derivative of -8*q**7/735 - q**6/60 + q**5/210 + 17*q**2 + 2*q. Factor y(w).
-2*w**2*(w + 1)*(8*w - 1)/7
Let o(v) = 15*v**2 + 42*v - 12. Let h(y) = 26*y - 56*y + 29*y + y**2. Let j(p) = -3*h(p) + o(p). Let j(d) = 0. Calculate d.
-4, 1/4
Find v, given that 40/13*v + 0 + 2/13*v**3 + 18/13*v**2... | {
"pile_set_name": "DM Mathematics"
} |
r assuming r is positive.
r**(49/11)
Simplify (q**(-4/3)*q*q*q)/q*q*q**(4/11) assuming q is positive.
q**(67/33)
Simplify (s/(s/s**(2/9)))/s**(-2/13) assuming s is positive.
s**(44/117)
Simplify ((u*u**7)/(u/u**(-1/9)))/((u**(4/11)*u)/(u*u**(-9)*u)) assuming u is positive.
u**(-146/99)
Simplify (h/(h/h**(3/14)*h)*h*h)/... | {
"pile_set_name": "DM Mathematics"
} |
34
Simplify sqrt(102)/(sqrt(6) + (1*sqrt(42))/sqrt(7)).
sqrt(17)/2
Simplify sqrt(66)/(sqrt(36)/sqrt(6)*-2).
-sqrt(11)/2
Simplify 4*sqrt(7) + -1 - (sqrt(252) + sqrt(252)*-1)**2.
-1 + 4*sqrt(7)
Simplify (-4*(((sqrt(468) + 1 - sqrt(468) - sqrt(468)) + sqrt(468) + sqrt(468))*2 + -4 + sqrt(468)*1 + sqrt(468)))**2.
-1536*sqr... | {
"pile_set_name": "DM Mathematics"
} |
+ 2*i**2 - 70*i + 424. Determine p(5).
-1
Let h(t) = 254*t + 2828. Determine h(-11).
34
Let w(t) = 2*t**3 + 169*t**2 + 84*t + 1. Calculate w(-84).
1
Let p(k) = -1226*k + 29420. Calculate p(24).
-4
Let k(i) = 10*i**2 - 271*i + 1108. Give k(5).
3
Let b(r) = r**2 + 12*r - 69. Calculate b(-17).
16
Let q(c) = c**3 + 12*c**... | {
"pile_set_name": "DM Mathematics"
} |
in ascending order.
-76.6, -1, 0, 0.1, 3/4
Sort -3.1, 2, -1/3, -338.
-338, -3.1, -1/3, 2
Sort -87, -0.15, -5, 0 in decreasing order.
0, -0.15, -5, -87
Sort 0.4, -3948, -0.055 in descending order.
0.4, -0.055, -3948
Sort -0.01, -1, 3, -22, -0.1 in increasing order.
-22, -1, -0.1, -0.01, 3
Put 8, 367, -27 in decreasing o... | {
"pile_set_name": "DM Mathematics"
} |
Let m be d(-5). Let i = -5 - -8. Which is the closest to -1? (a) i (b) m (c) r
b
Let w be 0/(-2) + 4/(-3). Let k = 538 + -542. What is the nearest to 2 in k, 0.2, w?
0.2
Let j be ((50/16)/1)/(870/696). Let w = 0.06 - 2.06. Which is the nearest to 1? (a) 0.3 (b) w (c) j
a
Let x = -328/501 - 2/167. Which is the ne... | {
"pile_set_name": "DM Mathematics"
} |
nt from {r: 2, x: 2, v: 1, q: 1, h: 1}?
2/105
What is prob of sequence ppm when three letters picked without replacement from mmmmmmmmpmmpm?
1/78
What is prob of sequence uojz when four letters picked without replacement from vovtuzozjttt?
1/2970
Calculate prob of sequence suv when three letters picked without replacem... | {
"pile_set_name": "DM Mathematics"
} |
the derivative of -4157295*c**3 + 3256556 wrt c?
-12471885*c**2
What is the third derivative of 2*l**4*n - 25*l**4 - 1095*l**3*n + 3*l**3 + 22*l**2*n - 219*l**2 + l*n + 2*n wrt l?
48*l*n - 600*l - 6570*n + 18
Find the second derivative of 2*k**4 + 14932*k**3 - 695*k + 3.
24*k**2 + 89592*k
What is the second derivative... | {
"pile_set_name": "DM Mathematics"
} |
0.04 + -2.04. Which is the third biggest value? (a) k (b) -4 (c) n
b
Let g be 2/(-6)*(-6)/((-6)/3). What is the biggest value in -2, 2/5, g, -3/2?
2/5
Let l be (-1)/6 - 35/294. Which is the second smallest value? (a) -0.1 (b) l (c) 0
a
Let o be 3/12 - (-30)/(-88). What is the third smallest value in o, -0.05, -2/... | {
"pile_set_name": "DM Mathematics"
} |
e v.
-1
Express 123 + 32*o**3 - 177*o**2 + 89*o**2 + 88*o**2 in the form g + n*o**3 + f*o**2 + u*o and give n.
32
Rearrange 8199*d**4 + 4*d - 16390*d**4 + 8193*d**4 + 3 + 19*d**2 + d**3 to f*d**3 + r*d**2 + c*d + z + o*d**4 and give o.
2
Express -2*o**3 + o**4 + 2*o**3 + (-2*o - 2*o + o)*(0 + 0 - o**3) + 1459*o + 472*o... | {
"pile_set_name": "DM Mathematics"
} |
fy (5*(sqrt(605) + -1*sqrt(605)) + 1 + sqrt(605) + 0 + 5 + (sqrt(605)*1*5 - (-1 + sqrt(605) + sqrt(605)*1)))**2.
616*sqrt(5) + 9729
Simplify (5 + (sqrt(1053) + 2 + 4 + (-3 + (sqrt(1053) - (3 + sqrt(1053)) - sqrt(1053)) - sqrt(1053) - sqrt(1053)) + 5)*3)**2 + -4.
-2160*sqrt(13) + 38304
Simplify -5 + ((4*6*(0 + sqrt(288)... | {
"pile_set_name": "DM Mathematics"
} |
4?
4200
In base 16, what is -3 + a4a?
a47
In base 15, what is 5 + 380?
385
In base 11, what is -6 + -159?
-164
In base 5, what is -2 - 2130?
-2132
In base 13, what is 2 - -76?
78
In base 4, what is -2 + -221132?
-221200
In base 7, what is -11 + 2465?
2454
In base 3, what is -12222 - -12?
-12210
In base 14, what is -84 ... | {
"pile_set_name": "DM Mathematics"
} |
, s: 1, l: 1, z: 2, r: 2, y: 1}?
1/42
Two letters picked without replacement from bssufb. What is prob of picking 1 s and 1 f?
2/15
Calculate prob of picking 1 j and 1 h when two letters picked without replacement from qggghjgr.
1/28
Calculate prob of picking 1 v and 3 j when four letters picked without replacement fro... | {
"pile_set_name": "DM Mathematics"
} |
6838819 a composite number?
False
Is 3596312969 prime?
True
Is 6859342219 a composite number?
False
Is 2022926657 a prime number?
False
Is 5463519181 a prime number?
True
Is 19768930711 a prime number?
True
Is 180017114857 a prime number?
True
Is 33060518657 prime?
True
Is 24538645511 composite?
False
Is 28991340613 co... | {
"pile_set_name": "DM Mathematics"
} |
wrt d.
114*d*j + 70
Find the third derivative of -290*k**6 - 77*k**2.
-34800*k**3
Find the first derivative of -6*a**3*f**2 + 90*a**3 - 6*a**2*f**3 wrt f.
-12*a**3*f - 18*a**2*f**2
What is the third derivative of 18*a**3*p - 16*a**3*r**3 - 2*a**2*p*r**3 - 2706*a*p wrt a?
108*p - 96*r**3
Differentiate 2*c*d*o*u - 97*c*... | {
"pile_set_name": "DM Mathematics"
} |
-40))?
2
Let m = -159 + 154. Let w(n) = 2*n + 1. Let s(g) = -g. Let o(f) = 3*s(f) + w(f). What are the prime factors of o(m)?
2, 3
Let j(z) = z**3 - 65*z**2 - 93*z + 478. List the prime factors of j(67).
3, 5, 43
Suppose 0 = 2*r + 4*s + s - 23, -4*s - 8 = -5*r. Suppose r*q = 4*n + 56, q - 3*n + 24 = 4*q. List the prime... | {
"pile_set_name": "DM Mathematics"
} |
second derivative of -8*f**4/3 - 106*f**3/3 + 42*f**2 + 591*f. Let t(s) = 0. Calculate s.
-7, 3/8
Let y(v) = -2*v**4 - v + 1. Let o(f) = -2*f**5 + 32*f**4 - 358*f**3 - 2656*f**2 + 344*f + 2608. Let z(m) = o(m) - 16*y(m). What is h in z(h) = 0?
-4, -1, 1, 18
Solve 2319/2*i + 49/2*i**3 - 2737/2*i**2 - 495/2 = 0.
3/7, 55... | {
"pile_set_name": "DM Mathematics"
} |
Let a be ((-8)/10)/(9/(-45)). Let p be (-8)/a*1/(-2). Solve -b - 1 = p for b.
-2
Suppose 34 = -2*x + 3*x - h, 0 = 5*x + 2*h - 163. Suppose 2*z + 2*d - 14 = -0*z, 5*d - x = -4*z. Solve -z*l = 3*l + 10 for l.
-2
Let g be (10 - -1) + 4/(-4). Let z = 54 - 54. Suppose 3*d - 5 = r, r = 5*d - z*r - 11. Solve -d*h - g = -h for... | {
"pile_set_name": "DM Mathematics"
} |
= -152. Solve -27*c - 30 = -f*c for c.
6
Let y = -13420 + 13445. Solve 190 = 55*i + y for i.
3
Suppose -54*n = -42*n - 336. Solve 0 = -19*f + 105 + n for f.
7
Suppose -3*f - 4*f = -140. Suppose -4*y = -0*y - 3*s + f, 5*y + 5*s = -60. Let c be (6/(-4))/(6/y). Solve -m + c = -0 for m.
2
Let w be 400/(-320)*2/5*0. Let c(v... | {
"pile_set_name": "DM Mathematics"
} |
ve l.
-4
Express 2*a - 124*a**2 - 566 + 566 as b*a**2 + j + u*a and give u.
2
Express (r + 2*r**4 - r)*(-1 - 3 - 1) + 2*r**4 - 4*r**4 + 0*r**4 - 2*r**4 + r**4 + 0*r**4 in the form v*r**3 + d*r**2 + a + i*r**4 + u*r and give i.
-13
Rearrange 1 + u - 1 - 29 - 29*u + 29 + (1 - 5 + 3)*(1 - 1 + 3*u) to n + j*u and give j.
-... | {
"pile_set_name": "DM Mathematics"
} |
ctor of 994 and 1521842?
14
Calculate the highest common factor of 1420 and 5759449.
71
Calculate the highest common divisor of 680 and 1630540.
20
What is the highest common factor of 28434869 and 33237?
1231
What is the highest common divisor of 4411522 and 52?
2
What is the highest common divisor of 7035 and 7966011... | {
"pile_set_name": "DM Mathematics"
} |
is the closest to 1/3? (a) j (b) 2 (c) 2/3
a
Suppose -10 + 34 = 3*a. Suppose -2*r + 1 - 9 = 0. Let t = r + a. What is the closest to 0 in 0.1, 1, t?
0.1
Let p = -0.74 - -1.04. What is the closest to -2/5 in 1, p, -4?
p
Let f = -0.3 - -0.1. Let x = f - -0.3. Let h be -1 + -3 - (-145)/40. Which is the closest to x? (... | {
"pile_set_name": "DM Mathematics"
} |
Let h(d) = d**3 + 12*d**2 + 45*d + 501. What is h(-11)?
127
Let s(g) = 22*g**2 - 259*g - 59. Give s(13).
292
Let f(y) = -2*y**2 - 101*y - 1220. What is f(-35)?
-135
Let m(b) = -7*b**2 + 9*b - 18. Calculate m(3).
-54
Let z(j) = j**2 - 73*j - 2435. Calculate z(98).
15
Let n(j) = 28*j + 2080. Calculate n(-74).
8
Let l(m) ... | {
"pile_set_name": "DM Mathematics"
} |
e?
False
Let m(l) = 354*l**2 - l. Let c be m(1). Suppose -3*b + c = 2*r, -b - r = -0*r - 116. Is b composite?
True
Let f = -48 - -377. Is f a composite number?
True
Let c = -581 - -899. Suppose c = 2*z + 124. Is z prime?
True
Let k(x) = 2*x**3 + x**2 - 2*x - 2. Let v be k(-1). Is (23/v)/((-3)/39) composite?
True
Let y(... | {
"pile_set_name": "DM Mathematics"
} |
0, -20241, -19242, -18243?
-17244
What is the next term in -104376, -208708, -313032, -417348, -521656?
-625956
What comes next: -7873722, -15747441, -23621156, -31494867, -39368574, -47242277, -55115976?
-62989671
What comes next: 3708, 7795, 11882, 15969?
20056
What is the next term in 7118419, 14236802, 21355185, 28... | {
"pile_set_name": "DM Mathematics"
} |
ded by 192?
191
What is the remainder when 234206 is divided by 58535?
66
What is the remainder when 1251853 is divided by 19257?
148
Calculate the remainder when 2594989 is divided by 119.
75
What is the remainder when 236686 is divided by 789?
775
What is the remainder when 514104 is divided by 42820?
264
What is the... | {
"pile_set_name": "DM Mathematics"
} |
iggest value? (a) p (b) 5 (c) 0.5 (d) 3/5
c
Let f = 1.23 - 0.42. Let k = 0.1361 + 0.0539. Let n = k + f. Which is the biggest value? (a) n (b) 4 (c) -4
b
Let g be (-272)/(-102) + 1 + -4. Which is the fourth smallest value? (a) -0.2 (b) 0.7 (c) g (d) 1
d
Let r = -22334547834965/11601853193 + 2/163406383. Let ... | {
"pile_set_name": "DM Mathematics"
} |
3/3 + 31*v**2. What is i(-3)?
-2
Let m(d) = -2*d + 3 + 5 - 11 - d**2 + d**3 - 1. What is m(-3)?
-34
Let o(b) be the second derivative of b**4/12 - b**3/6 + 2*b. Let m(i) = -i**2 + i + 2. Let w be m(0). What is o(w)?
2
Let n(x) = -3*x**2 + 2*x + 3. Let f be 4 + -8 + 3/((-6)/(-4)). What is n(f)?
-13
Let l(p) = -p - 2. Le... | {
"pile_set_name": "DM Mathematics"
} |
2*q - 1)
Factor 0*t**2 + 3/4 + 3/2*t**3 - 3/2*t - 3/4*t**4.
-3*(t - 1)**3*(t + 1)/4
Let n(u) = -u**2 + 12*u + 1. Let i be n(11). Let 0*a + 9*a**3 + i*a**4 - 2*a**3 - 15*a**2 + 3 - 9*a + 2*a**3 = 0. Calculate a.
-1, 1/4, 1
Let c(f) be the third derivative of f**6/300 + f**5/50 + f**4/20 + f**3/15 + f**2. Determine b so ... | {
"pile_set_name": "DM Mathematics"
} |
e remainder when r is divided by 14.
13
Let f = -14 + 40. Calculate the remainder when f is divided by 7.
5
Suppose 48*n = 52*n - 156. Calculate the remainder when n is divided by 20.
19
Let t be (-245)/(-10) - 3/2. Calculate the remainder when 30 is divided by t + -6 - (1 + 0).
14
Suppose -5*k - 2*d = -23, -4*k - k - ... | {
"pile_set_name": "DM Mathematics"
} |
- -5.
-1026428074
What is 0.5 take away 0.11146187?
0.38853813
Calculate 1874815614 - 2.
1874815612
What is the difference between 257435754 and 0.5?
257435753.5
Calculate -2012 - 3541.
-5553
What is 90017627 + 0.4?
90017627.4
Put together 32593683 and 0.919.
32593683.919
Add together 692291.36 and -0.1.
692291.26
Add... | {
"pile_set_name": "DM Mathematics"
} |
41
What is the t'th term of 59, 221, 499, 893, 1403, 2029?
58*t**2 - 12*t + 13
What is the i'th term of -1759, -3519, -5277, -7033, -8787, -10539?
i**2 - 1763*i + 3
What is the d'th term of -784, -3132, -7050, -12538, -19596, -28224, -38422?
-785*d**2 + 7*d - 6
What is the f'th term of 4025, 8044, 12063, 16082, 20101?
... | {
"pile_set_name": "DM Mathematics"
} |
2*i**2 + 3 - 3) + (i - 4 + 4)*(-5*i**2 + 2*i**2 - i**2))*(-3 + 3 + 2*i).
-28*i**4
Expand (-4 + 3 - 5)*(-2*c - 2 + 2 + (-4 + 0 + 3)*(3*c + c - 5*c))*(1 - 2 + 3)*(2*c - 4*c + 8*c).
72*c**2
Expand -5*h + 5*h - h**3 + (0*h**3 - 5*h**3 + 0*h**3)*(1 - 5 + 3) - h**3 + 0*h**3 + 2*h**3.
5*h**3
Expand -3*w**3 - 5*w**3 + w**3 + (... | {
"pile_set_name": "DM Mathematics"
} |
ird derivative of -280*b**3*n + 2*b**3 - b**2*n + 2*b**2 - 97*n wrt b?
-1680*n + 12
Differentiate -q*w**4 + 32*q*w**2 - 2752*q + 5*w**2 with respect to w.
-4*q*w**3 + 64*q*w + 10*w
What is the first derivative of -5*k**4 + 88*k*n**2 - 50*n**2 - n wrt k?
-20*k**3 + 88*n**2
Differentiate -2954*j**3 - 1714 with respect to... | {
"pile_set_name": "DM Mathematics"
} |
(-3 - (4 + (24 - 38))).
-41
What is 8 + (23 - ((-12 - -13) + -29))?
59
83 + (-33 - (-38 + 36))
52
Calculate (4 - (-43 - (2 + -5))) + (739 - 735).
48
Evaluate 4 - (2 - 6 - (24 - 20)) - 19.
-7
What is the value of (-15 - (-6 + -7)) + 7 + -6 + -9 - -67?
57
(15 - 21) + 4 - (-13 - (5 + -8)) - 1
7
Evaluate -97 + 2 - ((-3829 ... | {
"pile_set_name": "DM Mathematics"
} |
s in 6 - 1 - 6*u + 13*u + 50*u.
57*u + 5
Collect the terms in 3013*r - 3013*r - 272*r**2.
-272*r**2
Collect the terms in -3*g - 5*g + 4*g.
-4*g
Collect the terms in -5*y**2 - 23*y + 2*y**2 + 4*y**2.
y**2 - 23*y
Collect the terms in 28*k - 33*k + 8*k.
3*k
Collect the terms in 18*o - 35*o - 8*o**3 + 17*o.
-8*o**3
Collect... | {
"pile_set_name": "DM Mathematics"
} |
se 10, what is 1097309 - 760?
1096549
In base 3, what is 12 + -11001022221022021?
-11001022221022002
In base 2, what is -111111111110011000011110 + -1?
-111111111110011000011111
In base 3, what is 1100102020 - 21111221?
1001220022
In base 16, what is -2e5eb7 - 13e?
-2e5ff5
In base 8, what is 25753 + 46236?
74211
In bas... | {
"pile_set_name": "DM Mathematics"
} |
))/(665/(-1425)).
-6/7
What is the value of ((-17)/((-170)/8))/((-4)/10)?
-2
What is the value of 7*-1*105/(-147)?
5
Calculate ((-4)/(-6))/(((-26)/6)/13).
-2
What is (75/36)/5*(-126)/(-140)?
3/8
Evaluate 6*(-1)/(-2)*2/6.
1
Calculate ((-18)/(-351))/((-1)/(-3)).
2/13
What is the value of ((-4)/9)/(410/123)?
-2/15
((-2)/(... | {
"pile_set_name": "DM Mathematics"
} |
se
Which is smaller: -0.12964723 or 3/4?
-0.12964723
Which is smaller: 178392/223 or 800?
178392/223
Which is smaller: 16536/383 or 43?
43
Is -111763/274 < -409?
False
Is -2/1308503777 less than or equal to -1?
False
Which is smaller: 14286996 or 14286988?
14286988
Which is smaller: 100150841 or 100150842?
100150841
Is... | {
"pile_set_name": "DM Mathematics"
} |
Let l = p - 0.12. Let b = 8 - 25/3. What is the second biggest value in 0.02, l, b?
0.02
Let s = -93 + 92.6. Which is the third smallest value? (a) -54 (b) s (c) -1
b
Let r = 0.4 - 0.8. Let u = r + 3.4. Which is the second smallest value? (a) -1 (b) -4 (c) u
a
Let o = 60.901 + 0.099. Let w = -62 + o. What is the... | {
"pile_set_name": "DM Mathematics"
} |
2*s**3*x + 338*f**2*s**3 - 2*f*s**3*x - 2*f*s**2*x - 6*s**3*x + 12*x wrt f?
6*s**3*x + 676*s**3
Find the third derivative of 2*d**5 - 80*d**4*f**3 + d**3*f + d**2*f - 847*d**2 + 2*d*f**3 wrt d.
120*d**2 - 1920*d*f**3 + 6*f
Find the third derivative of -382*d**3*n**3 - 781*d**3*n**2 + 7*d**2*n**2 - 15*n**3 wrt n.
-2292*... | {
"pile_set_name": "DM Mathematics"
} |
ve n.
-2633
Rearrange 5*l**2 + 7*l**2 + 6*l - 10*l**2 + 0*l**3 + l**3 - 6 + 15 to the form s + j*l**2 + d*l + t*l**3 and give j.
2
Express -7264 + 7264 + 35*q**2 + q in the form b*q**2 + i*q + v and give i.
1
Express -1808*y - 2 + 910*y - 7158*y**3 + 2*y**2 + 896*y in the form k + b*y + x*y**2 + q*y**3 and give q.
-715... | {
"pile_set_name": "DM Mathematics"
} |
*3 and give b.
0
Express -1628 + 1628 + 11*k**2 + 7*k + 4*k**2 as i*k + a*k**2 + v and give i.
7
Express -572*z + 3*z**3 - 554*z + 1140*z + (6*z**2 - z**2 - z**2)*(3*z - 4*z + 0*z) in the form b*z + v*z**3 + y + l*z**2 and give v.
-1
Express -45*f - 36*f + 83*f + 1609 in the form m + z*f and give m.
1609
Express 21 - 1... | {
"pile_set_name": "DM Mathematics"
} |
hird smallest value? (a) 0 (b) 10 (c) h (d) -5
a
Suppose 8*q = -13*q - 294. Which is the second smallest value? (a) -1/8 (b) q (c) -0.2
c
Let o = 34/21 - 4/3. Let j = -521 + 2526/5. Let v = j + 16. What is the second biggest value in o, v, -1?
v
Let b = 19/8 + 9/8. What is the fourth smallest value in 4, -1/7, b... | {
"pile_set_name": "DM Mathematics"
} |
v = x - 1.1. Let o = v - -0.5. What is the second smallest value in -1, -2/5, o?
o
Let p be ((-4)/(-5))/(14/(-5)). Which is the smallest value? (a) 1 (b) -0.5 (c) p (d) -4
d
Let l = -1.34 - 0.66. Which is the second biggest value? (a) 1 (b) -0.5 (c) l
b
Let f = 102 - 101.5. Which is the smallest value? (a) f (... | {
"pile_set_name": "DM Mathematics"
} |
981, 2271, 4149, 6657, 9837, 13731, 18381?
7*x**3 + 231*x**2 + 2*x - 3
What is the f'th term of -42, -209, -606, -1347, -2546, -4317, -6774?
-19*f**3 - f**2 - 31*f + 9
What is the n'th term of -44, -85, -116, -137, -148?
5*n**2 - 56*n + 7
What is the x'th term of -233956, -233953, -233948, -233941, -233932?
x**2 - 233... | {
"pile_set_name": "DM Mathematics"
} |
n - 3 = a for v.
-4
Let s = -435 + 597. Let p = s - 160. Solve 3*w + 1 - 5 = y, 0 = 3*y + w + p for y.
-1
Let x = -108 + 111. Suppose -x*b = -9, 26*r - 2*b - 10 = 22*r. Solve -1 = g - s, 3*s = -r*g + 4*s - 10 for g.
-3
Let p = 126 - 111. Let b = p + -11. Solve -3*v + 11 = -4*c - c, -b*v + 2*c = 4 for v.
-3
Let n = -506... | {
"pile_set_name": "DM Mathematics"
} |
+ 2 - (sqrt(5) - (sqrt(20)/sqrt(4) + 5)))**2.
98*sqrt(5) + 294
Simplify (6*(-4*sqrt(33)/sqrt(3) - -2*sqrt(22)/sqrt(2)))**2.
1584
Simplify sqrt(45)/((sqrt(1296)*-4 - sqrt(1296)) + sqrt(1296))*-2.
sqrt(5)/24
Simplify (-3 + 1 + 0 + sqrt(7))**2.
-4*sqrt(7) + 11
Simplify 0 + (sqrt(176))**2 - (sqrt(11) + (sqrt(44) + -3)**2)... | {
"pile_set_name": "DM Mathematics"
} |
-9331 (base 10) to base 4
-2101303
What is -b4649 (base 14) in base 13?
-122b98
What is 4723065 (base 8) in base 13?
361195
Convert 4425a8 (base 12) to base 13.
2bb9a1
10220210110 (base 3) to base 5
4431444
-333201312103 (base 4) to base 15
-16de67a
-35a76d (base 15) to base 13
-6bb35a
Convert 7575c (base 13) to base ... | {
"pile_set_name": "DM Mathematics"
} |
many minutes are there between 1:27 PM and 10:34 PM?
547
How many minutes are there between 6:39 AM and 10:16 AM?
217
What is 283 minutes before 10:02 PM?
5:19 PM
What is 69 minutes after 5:00 PM?
6:09 PM
What is 532 minutes before 12:52 PM?
4:00 AM
What is 588 minutes before 7:03 AM?
9:15 PM
How many minutes are ther... | {
"pile_set_name": "DM Mathematics"
} |
at is f*p(i) - d(i)?
i - 11
Suppose 3*g - 3 = 0, -4*g = 4*k - 8*k + 12. Let x(p) be the third derivative of p**4/24 + p**3/6 - 13*p**2. Let m(r) = 2. Determine k*x(y) - 2*m(y).
4*y
Let t(l) = -7*l**3 + 8*l**2 - 5*l. Let h(c) = 3*c + 11937*c**2 - 3*c**3 - 5*c - 11933*c**2. What is 5*h(b) - 2*t(b)?
-b**3 + 4*b**2
Let b(t... | {
"pile_set_name": "DM Mathematics"
} |
be (21/(-6) + 4)*2. Let c = u + 3. Suppose -p + 0*p + c*v + 20 = 0, 4*p + 3*v + 15 = 0. Which is greater: p or 3/5?
3/5
Suppose -2 = a + 3*d, a - 4*d - 8 - 18 = 0. Let w = 8 - 5. Let p be 14/a*(w - -2). Is p at least as big as 7?
True
Let x = -14.2 - -14.272. Is 1/3 <= x?
False
Let c be (5 - -4) + (-3)/(-1). Let d = c ... | {
"pile_set_name": "DM Mathematics"
} |
ime factors of 1823878?
2, 7, 37, 503
List the prime factors of 1051201.
137, 7673
List the prime factors of 15529712.
2, 11, 88237
What are the prime factors of 88981?
101, 881
What are the prime factors of 136040?
2, 5, 19, 179
List the prime factors of 164470.
2, 5, 16447
List the prime factors of 1197687.
3, 113, 3... | {
"pile_set_name": "DM Mathematics"
} |
g) be the third derivative of 0*g - 1/90*g**6 - 3*g**2 + 1/105*g**7 + 0*g**3 + 0 - 1/90*g**5 + 0*g**4. Factor o(p).
2*p**2*(p - 1)*(3*p + 1)/3
Let t be 40/4 + -3 + -4. Solve -16*d**2 - 6*d + 5*d - t*d = 0 for d.
-1/4, 0
Let p(v) = v**5 + v**4 - v**3 - v**2 + v + 1. Let l(k) = -85*k**5 + 35*k**4 + 40*k**3 + 10*k**2 - 5*... | {
"pile_set_name": "DM Mathematics"
} |
+ 15. Factor 5*q - 4*q + i - q**3 + q**b - 3*q**2.
-(q - 1)*(q + 1)*(q + 2)
Solve -2*b**5 - 12*b**2 - 6*b**3 - 2*b**5 - 3 - 2*b**5 + 12*b + 15*b**4 + 0*b**2 = 0.
-1, 1/2, 1
Factor 0 - 4/15*m - 2/15*m**3 - 2/5*m**2.
-2*m*(m + 1)*(m + 2)/15
Suppose 3*s = 3*t + 27, s + 2*t = 6*t + 24. Let b be (18/(-60))/((-6)/s). Factor ... | {
"pile_set_name": "DM Mathematics"
} |
3. What is the units digit of h?
1
Let m(w) = -w**2 - 119*w + 4620. What is the units digit of m(0)?
0
Suppose 0 = 5*v + m - 17, 3*v - 5*m + 3*m - 5 = 0. Let p(x) = 0*x**2 - 4*x**2 + x**3 + v + 3*x - 9 + 18*x**2. What is the hundreds digit of p(-13)?
1
Suppose 13*w + 42024 = 34*w - 15*w. What is the thousands digit of ... | {
"pile_set_name": "DM Mathematics"
} |
b = 8. Suppose 5 + 2 = -o + 3*k, 0 = 5*o + 3*k + x. What is the closest to 0.2 in 2, o, 2/5?
2/5
Let y = 0.09 + 0.81. Let d = -0.5 + y. Let p = 2/33 - -29/66. Which is the nearest to p? (a) -5 (b) d (c) 3
b
Let o = -5 - -3. Let z be ((-4)/28)/(o/(-8)). Suppose -5*t - 24 = 5*n - 4, 5*n + 3*t = -10. Which is the neare... | {
"pile_set_name": "DM Mathematics"
} |
x**11))/x)/x**(-2/17)))**(-7/3) assuming x is positive.
x**(-8501/306)
Simplify ((x**(1/2))**(2/75)/((x**(-1/4)*x)/(x/x**(-2/25)*x)))/((x/x**(1/8)*x)/(x*x**(3/7)*x))**7 assuming x is positive.
x**(3131/600)
Simplify ((c**(-4))**(9/7)*(c*c**(4/13)*c*c)/(c/(c/c**(-9/5))))**(-3) assuming c is positive.
c**(48/455)
Simplif... | {
"pile_set_name": "DM Mathematics"
} |
ch is smaller: 1127089 or 0.1?
0.1
Which is greater: 263352 or 1316762/5?
1316762/5
Does -11/340 = -2/7?
False
Are -0.7 and 800904 non-equal?
True
Which is bigger: -1 or -84/83413?
-84/83413
Which is smaller: -3/440491 or 0?
-3/440491
Is 122 < 723?
True
Is 20 not equal to 5052?
True
Is 9048 > 9076?
False
Which is great... | {
"pile_set_name": "DM Mathematics"
} |
3652*a + 2
Find the third derivative of -858611640*o**3 - 3*o**2 - 265989*o - 7 wrt o.
-5151669840
What is the third derivative of -19806071*g**3*n**3 + 144282*g**3*n - 35*g*n**2 wrt n?
-118836426*g**3
Differentiate 114*b**4*q**2 + 26245*b**2*q**2 - 35725*q**2 - 175 wrt b.
456*b**3*q**2 + 52490*b*q**2
What is the third... | {
"pile_set_name": "DM Mathematics"
} |
te the highest common divisor of 3 and 123.
3
What is the greatest common factor of 9 and 72?
9
Calculate the highest common divisor of 408 and 24.
24
Calculate the greatest common divisor of 17 and 35513.
17
What is the greatest common divisor of 42 and 702?
6
Calculate the greatest common factor of 3888 and 1188.
108... | {
"pile_set_name": "DM Mathematics"
} |
10010011110000010100100?
-1001110010011110000010100101
In base 14, what is -c4d923 + 5?
-c4d91c
In base 16, what is -292 + 81a4?
7f12
In base 4, what is -11 + 230133230011?
230133230000
In base 13, what is -346aab1 + 1?
-346aab0
In base 15, what is -2a1 + 3c98?
39e7
In base 15, what is -25 - -52b00?
52aca
In base 16, w... | {
"pile_set_name": "DM Mathematics"
} |
lve l*j = j for j.
0
Let k(s) = s**2 - 7*s + 7. Let m be k(7). Suppose w + 3*w + 57 = 5*g, -3*g - 5*w + 49 = 0. Let x = g - m. Solve -x = -n - 2*n for n.
2
Let t = 282 + -265. Solve -63 = 16*s + t for s.
-5
Let l be (0 - 2)/((-2)/21). Suppose -4*k - q + 16 = 0, 33 = k + 5*q + 10. Let m(y) = -y**3 - y**2 + y + 6. Let d ... | {
"pile_set_name": "DM Mathematics"
} |
+ 1?
-206216561
In base 3, what is 1022 - 1122120001021?
-1122112222222
In base 4, what is -10 + 10133220211?
10133220201
In base 7, what is 366622 - -20662?
420614
In base 4, what is 3330331 + -11111?
3313220
In base 10, what is 4192815 - 15?
4192800
In base 13, what is -25c + 31795?
31536
In base 2, what is -1101011... | {
"pile_set_name": "DM Mathematics"
} |
Suppose 0 = -3*a + 2*o + 4, 3*a + 10 = 8*a - 5*o. Suppose 2*d + 3*d - g = a. What is the tens digit of d?
5
Let h(o) = o**3 + 30*o**2 + 20*o - 60. What is the units digit of h(-28)?
8
Let h = -21 + 24. Suppose q - 3*q + h = 3*x, 5*q + 2*x = 2. Suppose q*t + y = 5*t - 176, 173 = 5*t + 2*y. What is the tens digit of t?
... | {
"pile_set_name": "DM Mathematics"
} |
iple of n and 2?
8
Suppose 5*z - 219 = -54. What is the smallest common multiple of -6*6/9 + 22 and z?
198
Find the common denominator of 6579/630 + (-1)/7 and -61/74.
370
Let x = 882081 + -17584203/20. Let b = 7261 + -4393. Let u = b - x. Calculate the common denominator of 5/4 and u.
20
Suppose 18 = 5*j - 4*z - 13, 4... | {
"pile_set_name": "DM Mathematics"
} |
or of 224 and y.
32
Suppose 760 = -63*l + 83*l. What is the greatest common divisor of l and 4?
2
Let b = 13 - 10. Suppose -b*c + 5 = -p, p - 17 + 6 = -5*c. Suppose g + c - 13 = 0. Calculate the highest common factor of g and 99.
11
Let p(i) = -i**3 + 9*i**2 + 14*i + 6. Let s be p(11). Let x = -75 - s. Calculate the gr... | {
"pile_set_name": "DM Mathematics"
} |
**6 + 19*a**2 + 6*a**2 + 879*a**6 wrt a.
-4560*a**3
Let k be (-2)/(-4)*-2 + -7. Let i be 0 + k/(0 - 2). Differentiate 0*g**4 - 2*g + 3 + 2*g - g**i with respect to g.
-4*g**3
Suppose q = -0*q. Suppose -6 = 3*z + 8*o - 4*o, 5*z - o = 13. What is the first derivative of q - l**2 + 3 - z wrt l?
-2*l
Let v be 2 - 0*(-1)/2.... | {
"pile_set_name": "DM Mathematics"
} |
Suppose 17*g - 20*g = -57. Let j(f) = -3*f + 3. Let u be j(6). Let v = -13 - u. Solve -3*a - 16 = -2*c, -6*c + v*a + g = -3*c for c.
5
Suppose 6*b - 2*x + 35 = 3*b, -3*b - 65 = 4*x. Let y be ((-50)/b)/((-4)/18). Let a = 16 + y. Solve 5*r + a = -l + 3*l, -3*l - 11 = 5*r for l.
-2
Suppose 0*r = 39*r - 39. Solve -k - 4 -... | {
"pile_set_name": "DM Mathematics"
} |
8 - x = 17*s for s.
6
Let y(r) = 26 + 2*r + r - r**2 + 4. Let k = 5 + 2. Let o be y(k). Solve -3*w - 5 = -o*w for w.
-5
Let p(a) = 5 + 211*a**2 - 3 - 210*a**2 - 11*a. Let y be p(11). Solve 4*f = -y*f - 24 for f.
-4
Suppose 3*x - 10 = 2*g, -2*x + 57 = g + 62. Suppose 25*m - 19*m - 114 = x. Solve 5*u = m - 9 for u.
2
Let... | {
"pile_set_name": "DM Mathematics"
} |
e v'th term of -41, -65, -103, -155, -221, -301, -395?
-7*v**2 - 3*v - 31
What is the a'th term of -298, -742, -1490, -2548, -3922, -5618, -7642?
-a**3 - 146*a**2 + a - 152
What is the d'th term of -9994, -19982, -29970?
-9988*d - 6
What is the t'th term of -8786, -17643, -26500, -35357?
-8857*t + 71
What is the b'th t... | {
"pile_set_name": "DM Mathematics"
} |
0.0004
Let h = 0.0166 + -0.0584. What is h rounded to three dps?
-0.042
Let k be 3/(3 - 5 - -3). Suppose 0 = -o + k*o + 46200. What is o rounded to the nearest 1000?
-23000
Suppose 0 = 5*p - 40536 + 4141. Let n = 10579 - p. What is n rounded to the nearest 1000?
3000
Let n(h) = 1900*h**2 + h + 10. Let y be n(-10). What... | {
"pile_set_name": "DM Mathematics"
} |
e second derivative of -798*d**4 + 2*d**3 - 302*d + 2 wrt d.
-9576*d**2 + 12*d
What is the second derivative of -15*w**3 - 2*w**2 - 266*w - 3 wrt w?
-90*w - 4
Find the third derivative of 404*r**5 + 3*r**4 - 4*r**3 + 12863*r**2 wrt r.
24240*r**2 + 72*r - 24
Find the second derivative of 4927*f**3 + 102*f + 7 wrt f.
295... | {
"pile_set_name": "DM Mathematics"
} |
d k?
1
Let v(b) be the third derivative of -b**4/24 - b**2. Let c be v(-4). Let f(h) = 5*h - 2. Let q be f(2). What is the greatest common divisor of q and c?
4
Let m be ((-4)/10)/(2/(-20)). Suppose -g = 3*q + 39, m = 3*q + 13. Let f be -2 - 4/(8/g). Calculate the greatest common divisor of 13 and f.
13
Let s be (-68)/... | {
"pile_set_name": "DM Mathematics"
} |
*2
Differentiate -41*j**2*y**2 + 623*j**2 + 4*j*y**2 with respect to y.
-82*j**2*y + 8*j*y
Find the second derivative of -52*s**4 + 3*s**2 + 2*s - 435.
-624*s**2 + 6
What is the derivative of 1010*b**2*n + 11*b**2 - b*n**2*z - 6*b*z + b wrt n?
1010*b**2 - 2*b*n*z
Find the second derivative of -147*w**3*z**2 - 3*w**3*z ... | {
"pile_set_name": "DM Mathematics"
} |
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