text stringlengths 270 8.19k | meta dict |
|---|---|
56*z - 3
What is the u'th term of -4356, -17227, -38678, -68709, -107320, -154511, -210282?
-4290*u**2 - u - 65
What is the n'th term of -2030, -4010, -5960, -7874, -9746?
n**3 + 9*n**2 - 2014*n - 26
What is the t'th term of 286, 239, 192, 145?
-47*t + 333
What is the b'th term of -1086, -1051, -986, -885, -742, -551?
... | {
"pile_set_name": "DM Mathematics"
} |
4, 10, 0?
0
Let v = 161 - 149. Which is the nearest to 11? (a) -0.3 (b) 0 (c) v
c
Let f = -74685/7 - -10669. Which is the closest to f? (a) -3/8 (b) 1/2 (c) -4/7 (d) 3
a
Let i(h) = -h**2 - h. Let l be i(-2). Let k be (-2)/((l/3)/((-8)/32)). Which is the nearest to 0.5? (a) -5 (b) -1/4 (c) k
b
Let u = -186 - ... | {
"pile_set_name": "DM Mathematics"
} |
. Let r be t(-4). Let c be 2*(r/(-1))/3. What is the closest to 4 in l, -1, c?
l
Let b = -0.2 - -0.1. Let h = 12 + -7. Let a = h + -10. What is the closest to b in 2/9, a, 0?
0
Let n = -124/3 - -42. Let u(f) = -f**3 - 4*f**2 + 7*f + 7. Let d be u(-5). What is the nearest to n in 0.1, -0.5, d?
0.1
Let f = -721 - -720.94... | {
"pile_set_name": "DM Mathematics"
} |
greatest common divisor of 1776 and 192.
48
What is the greatest common divisor of 64 and 1056?
32
What is the highest common factor of 393 and 1441?
131
What is the greatest common divisor of 3 and 52?
1
What is the greatest common divisor of 21 and 609?
21
What is the highest common divisor of 675 and 3075?
75
Calcul... | {
"pile_set_name": "DM Mathematics"
} |
rivative of y(s). What is n(z(x))?
33*x**2
Let p(j) = 37*j. Let a(v) = -67433*v**2. What is a(p(z))?
-92315777*z**2
Let r(o) = -3*o**2. Let k(h) = 3*h**2 + 25912. Give k(r(z)).
27*z**4 + 25912
Let o(p) = -3*p**2. Suppose 23 = -6*x + 7*x - 4*a, 3*x + 3*a - 54 = 0. Let u(k) = x*k + 7*k - 29*k. Calculate u(o(j)).
9*j**2
L... | {
"pile_set_name": "DM Mathematics"
} |
t, 3, 1/27 in ascending order.
t, -1/3, 1/27, 3
Let k = -1.7 + 1.3. Let x = 0.0667 + 1.9333. Sort x, 0.3, k, -2/9.
k, -2/9, 0.3, x
Let p(h) = -3*h**2 + 169*h - 77. Let k be p(56). Put 5, -4, k in descending order.
5, -4, k
Let q = -116.8 - -116.933. Sort q, -2, 0.2 in ascending order.
-2, q, 0.2
Let g = 87060/17927 + 2... | {
"pile_set_name": "DM Mathematics"
} |
- 1.78. Which is the second biggest value? (a) 1 (b) l (c) x
b
Let p(w) = 5*w + 29. Let x be p(-5). What is the second smallest value in -0.5, 13, x?
x
Let j = 0.6 + -4.6. Let t = 1 + j. What is the third biggest value in 2/7, 5, t?
t
Let i = -159/5 + 32. Let w = -8.1 + 8. Which is the third smallest value? (a) w ... | {
"pile_set_name": "DM Mathematics"
} |
s the closest to -0.1 in -1/6, 0.1, -2/5?
-1/6
Which is the nearest to -8? (a) -4 (b) -0.4 (c) 0.21
a
What is the nearest to 0.05 in -0.3, -1/2, 2/9?
2/9
Which is the closest to 0.1? (a) -730 (b) 0.5 (c) 4
b
What is the nearest to 24 in 1/2, 4, -2/67, 2?
4
What is the nearest to -0.03 in -2, -1/5, 3/8?
-1/5
What ... | {
"pile_set_name": "DM Mathematics"
} |
20/2. What is the highest common factor of o and z?
6
Suppose 4*d - 9 = 3*d. Let i = -8 + d. Calculate the greatest common factor of 11 and i.
1
Suppose 6*d - 4*d - 68 = 0. Let l = -19 + d. What is the greatest common factor of l and 120?
15
Let d(r) = r**3 + 1. Suppose 7*i - 4*i = 6. Let v be d(i). Calculate the grea... | {
"pile_set_name": "DM Mathematics"
} |
(-20 + 161)
-67
What is the value of -82 - (66 - (76 - -20))?
-52
Calculate (-1 - -17) + (-6 + (-4 - -27) - 101).
-68
Evaluate 1 - (5 + (72 - (40 + -4))).
-40
145 - (144 + 73) - (-2 - -10)
-80
What is 4 + (8 + -21 - (-33 + 17)) - 70?
-63
What is the value of 3 - -4 - (-27 - (37 + -35))?
36
Calculate -48 + 80 + (-61 - 5... | {
"pile_set_name": "DM Mathematics"
} |
mes next: -263771, -527540, -791311, -1055084, -1318859, -1582636?
-1846415
What comes next: -2350770, -2350782, -2350808, -2350854, -2350926, -2351030, -2351172?
-2351358
What is the next term in -36807, -73614, -110421, -147228, -184035?
-220842
What comes next: 1196, 2442, 3740, 5090, 6492?
7946
What comes next: -10... | {
"pile_set_name": "DM Mathematics"
} |
170/11, 3, -0.2, -0.05?
170/11
Which is the third smallest value? (a) -3/4 (b) -51369 (c) -1/3 (d) 4
c
Which is the fourth biggest value? (a) 0.3 (b) -0.1379 (c) -0.26 (d) 1/35
c
Which is the third smallest value? (a) -1 (b) 0.11 (c) 1/1730
b
What is the third biggest value in 51, 65, -3?
-3
What is the seco... | {
"pile_set_name": "DM Mathematics"
} |
59*i + 14 = -2*p, -4*p + 5*i = 31 for p.
-4
Solve 4*k = -4*a - 9 - 19, -a - 11 = 5*k for k.
-1
Solve 0 = -3*i, f = -4*f - 2*i + 20 for f.
4
Solve -a = -3*g - 12, 42 - 39 = -3*g + 4*a for g.
-5
Solve -2*o - 4 = -2*m - 2*m, -10 = 5*o - 2*m for o.
-2
Solve -551*k + 556*k + 3*i - 15 = 0, 5*k - 45 = 3*i for k.
6
Solve -5*a ... | {
"pile_set_name": "DM Mathematics"
} |
01 = 0. Does 12 divide m?
False
Suppose -3*w - 4*u = 15 - 7, 2*u + 14 = -4*w. Let k be (w + 5)/(1/4). Suppose -2*s + 2*q = -8, q - 19 = -4*s + k*q. Is s a multiple of 7?
True
Let h be (4 - 1 - 4)*-40. Is 10 a factor of (7 - 13)*h/(-6)?
True
Let k(z) = z**3 - 19*z**2 - 2*z + 5. Let n be k(19). Does 4 divide n/2*(4 + (-3... | {
"pile_set_name": "DM Mathematics"
} |
1, 3, 5
Solve 5*d**4 + 160*d**3 + 575*d**2 + 420*d = 0.
-28, -3, -1, 0
Solve 2*o**5/21 + 4*o**4/7 - 64*o**2/21 = 0.
-4, 0, 2
Find f, given that -2*f**2/21 - 1390*f/21 - 1388/21 = 0.
-694, -1
Factor 4*k**4 - 4*k**3 - 24*k**2.
4*k**2*(k - 3)*(k + 2)
Find w such that 4*w**3/9 + 176*w**2/3 + 7744*w/3 + 340736/9 = 0.
-44
Fa... | {
"pile_set_name": "DM Mathematics"
} |
+ 290*a - 92. Is -23 < a?
False
Let h = -83 + 61. Let n = h - 1. Let f = -16 - n. Which is smaller: f or 41/5?
f
Let q = 71/105 + -9/14. Let a(w) = -3*w - 4. Let h be a(-1). Which is greater: q or h?
q
Let x = -3538 - -3540. Which is bigger: -829 or x?
x
Let w = -65220348 + 69590102125/1067. Let j = -205/97 + w. Is -12... | {
"pile_set_name": "DM Mathematics"
} |
0 = -3*s + c + 2412, -4*s - 12*c = -14*c - 3218. Does 27 divide s?
False
Let h(l) = -48*l**3 - 6*l**2 - 15*l - 29. Is 33 a factor of h(-3)?
False
Let d = 927 + -703. Is 28 a factor of d?
True
Let k = -38 + 23. Does 24 divide (-8)/(-60) - 1033/k?
False
Suppose 11*y - 122 = 9*y. Let i = y + -37. Is 8 a factor of i?
True... | {
"pile_set_name": "DM Mathematics"
} |
t v(t) be the second derivative of 2*t**3/3 + 3*t**2/2 + 20*t - 5. What is o*x(h) - 56*v(h)?
7*h
Suppose -3*w + 0 = 3. Let r(o) be the first derivative of o**2/2 - o - 1. Let u(p) = -2*p. Let s = 644 - 645. Calculate s*u(v) + w*r(v).
v + 1
Let k(y) = 8*y**2 + y + 6. Suppose 5*v - 3*s = 4, 17*s = -3*v + 19*s + 2. Let d(... | {
"pile_set_name": "DM Mathematics"
} |
- (1 + -6)). Suppose k*g = -2*g + 8. Suppose -g*q - 8 = 4*y, 2*y - 3*y = q - 1. List the prime factors of q.
2, 3
Let m = 0 - 3. What are the prime factors of 4/((-3)/3 - m)?
2
Let i = 93 + 5. List the prime factors of i.
2, 7
Let u = -91 - -274. What are the prime factors of u?
3, 61
Suppose -4*h + 22 = -18. Let q be... | {
"pile_set_name": "DM Mathematics"
} |
n + -0.04. What is f rounded to 1 dp?
-0.1
Let u be (-3 - 44/(-12))*-5001. Let a be -1 - (-1 - u)*3. Round a to the nearest one thousand.
-10000
Let k(r) = -r**3 - 9*r**2 - 8*r + 4. Let w be k(-8). Suppose y - w = 5. Let d be (-1590000)/y*(30 + 0). What is d rounded to the nearest one million?
-5000000
Let w = 4.7 + 4.... | {
"pile_set_name": "DM Mathematics"
} |
5*c + 4*b + 39 - 10, b = -4*c - 21 for c.
-5
Solve 2*b = 2*q + 4, -2*q + 25 = -5*b + 26 for b.
-1
Solve -z = -2*f - 0*z + 7, -2*f + 27 = -5*z for f.
1
Solve 4*z + 5*j - j = 4, -3*j = -5*z - 11 for z.
-1
Solve 3*i + g = 10, -i + 2*g = 4*g - 5 for i.
3
Solve 2 = 48*p - 49*p, -2*i = -5*p - 2 for i.
-4
Solve 4*g + j - 4 =... | {
"pile_set_name": "DM Mathematics"
} |
s the r'th term of -19, 6, 19, 14, -15, -74?
-r**3 + 32*r - 50
What is the c'th term of 58, 129, 204, 283?
2*c**2 + 65*c - 9
What is the j'th term of 149, 282, 401, 500, 573, 614, 617?
-j**3 - j**2 + 143*j + 8
What is the i'th term of -80, -76, -72?
4*i - 84
What is the a'th term of -78, -80, -82, -84, -86?
-2*a - 76
W... | {
"pile_set_name": "DM Mathematics"
} |
?
-8*u**3
What is the first derivative of 2*v**3 + 144*v**4 + 110 + 8*v**3 - 10*v**3 + 288 wrt v?
576*v**3
Find the first derivative of -20*t - 9*t**2 + 270 + 0*t**2 + 6*t**2 - 25*t - 1 wrt t.
-6*t - 45
Let d(x) = -3*x + 49. Let b be d(14). What is the third derivative of -b*l**2 + 307 + 8*l**5 - 307 wrt l?
480*l**2
Fi... | {
"pile_set_name": "DM Mathematics"
} |
9918257?
9
What is the hundred thousands digit of 391391?
3
What is the thousands digit of 206953?
6
What is the hundred thousands digit of 242229?
2
What is the hundred thousands digit of 20536213?
5
What is the hundred thousands digit of 247028?
2
What is the ten thousands digit of 4818296?
1
What is the tens digit o... | {
"pile_set_name": "DM Mathematics"
} |
ided by 401?
398
Calculate the remainder when 2335 is divided by 93.
10
Calculate the remainder when 21205 is divided by 1322.
53
What is the remainder when 12310 is divided by 77?
67
What is the remainder when 102783 is divided by 292?
291
What is the remainder when 1325 is divided by 138?
83
Calculate the remainder w... | {
"pile_set_name": "DM Mathematics"
} |
3*a + a + 25, -3*a = q*h + 24 for a.
-4
Suppose 3*w + 16 = q, -4*w - 20 = -2*q - w. Suppose 2 = 3*u - 4. Suppose 2*p = u*t - 3*p, 2*t = -2*p. Solve 2*a + q*g = 3*a - 3, t = -5*a + g - 4 for a.
-1
Let f = 23 + -9. Let y be 59/177 + (-21 + -1)/((-36)/6). Solve -5*m - 4*q = -17 - 13, -3*m + y*q - f = 0 for m.
2
Suppose 3*... | {
"pile_set_name": "DM Mathematics"
} |
-9*j + 13*j, 0 = 3*a - 2*j - 46. Is m(a) a prime number?
True
Suppose 5*y = -s + 92943, 0 = 2*s - 7*y + 5*y - 185970. Is s a composite number?
True
Let y(n) = 50072*n**2 - 3*n - 4. Let v be y(2). Suppose -60609 = -11*g + v. Is g a composite number?
True
Suppose -2*s + s + 967 = 0. Suppose 2*t + j = 1736, 5*j - 2499 = ... | {
"pile_set_name": "DM Mathematics"
} |
closest to -2? (a) 2 (b) p (c) 1/4
b
Suppose 4*i + 6 = 2. Let b = 6 + -10. Let o(k) = k**3 + 4*k**2 + k + 9. Let f be o(b). What is the closest to i in 1/7, -0.1, f?
-0.1
Let h = -583/5 + 117. Which is the nearest to h? (a) 1/4 (b) 2/5 (c) 4 (d) 1
b
Let q be 2 - 4 - -7 - 42/8. Which is the nearest to 0? (a) -0.... | {
"pile_set_name": "DM Mathematics"
} |
+ 5*y**4/12 - 4*y. Let a(z) be the third derivative of f(z). Give a(-3).
-4
Let x(u) = 3*u + 3. Suppose -3*c + 4*t = 21, c + 0*c + 9 = 2*t. Let y be (-2)/(-2) - (c + 7). Calculate x(y).
-6
Let f be -6 + 6 + -1 + -1. Let s(m) = m**2 + m - 1. Determine s(f).
1
Let a be 8 - (8 - 0)/2. Let u(y) = 7 + 2*y - 7 + 3*y**3 + a*y... | {
"pile_set_name": "DM Mathematics"
} |
ase 11, what is 41 + 92a30?
92a71
In base 15, what is -160 + -5212?
-5372
In base 6, what is -113012 + 120055?
3043
In base 3, what is -2 - 101102112001001?
-101102112001010
In base 16, what is 7618 - -62?
767a
In base 15, what is -b39a - 69e?
-ba49
In base 13, what is -7 - 57865b?
-578665
In base 6, what is -20 - -140... | {
"pile_set_name": "DM Mathematics"
} |
74, 2073, 2072, 2071?
2070
What comes next: 2061, 4132, 6205, 8280?
10357
What comes next: -356, -379, -448, -587, -820, -1171, -1664, -2323?
-3172
What is the next term in -30, -71, -112, -153, -194, -235?
-276
What is next in 3607, 3608, 3609, 3610, 3611?
3612
What is next in -206, -415, -618, -815, -1006?
-1191
What... | {
"pile_set_name": "DM Mathematics"
} |
d the common denominator of 121/204 and -149/6.
204
What is the least common multiple of 1500 and 500?
1500
Calculate the lowest common multiple of 2866 and 7165.
14330
What is the common denominator of 103/1152 and 149/4320?
17280
What is the smallest common multiple of 22438 and 16?
179504
Calculate the lowest common... | {
"pile_set_name": "DM Mathematics"
} |
9 = 3*z + 5*t - 47, -2*t = 5*z - n. Let o = z - 7. Let h(x) = -6*x. Give h(o).
6
Let k = -392 - -386. Let n(s) = -s**2 - 4*s - 7. What is n(k)?
-19
Let l = -3 + 11. Let q(n) = n - 5. Let w be q(l). Let i(z) = -2*z**2 + 2*z**3 + w*z**2 + 2 - z - 3*z**2 - z**3. Give i(3).
8
Let l(t) be the second derivative of -t**4/12 +... | {
"pile_set_name": "DM Mathematics"
} |
t is the second biggest value in -3, -3/7, 0, 12?
0
What is the biggest value in 9, 0.1, -1/8, 2/13, 12?
12
What is the smallest value in -166/7, 1/3, 0.5?
-166/7
Which is the biggest value? (a) 3393 (b) -1 (c) -5
a
Which is the smallest value? (a) 3 (b) 50 (c) -1/5 (d) 4
c
What is the biggest value in -3, 4, 79... | {
"pile_set_name": "DM Mathematics"
} |
t the prime factors of 406773725.
5, 149, 109201
What are the prime factors of 97199403?
3, 7, 23, 53, 3797
List the prime factors of 752919076.
2, 7, 13, 23, 139, 647
What are the prime factors of 401177357?
7, 8187293
What are the prime factors of 476629298?
2, 238314649
What are the prime factors of 41085673?
67, 61... | {
"pile_set_name": "DM Mathematics"
} |
) -5/14
b
Which is the nearest to 1/10? (a) 0.1 (b) -70 (c) 4 (d) -2/23
a
What is the closest to 1.1 in -5/6, -1/3, 1/2, 2/13?
1/2
Which is the nearest to -120? (a) -2 (b) -2/3 (c) 1 (d) 1/2
a
Which is the closest to 0.1? (a) -4 (b) -2/55 (c) 0.3
b
What is the nearest to 23/5 in 0.4, 0.2, -0.1?
0.4
Which is ... | {
"pile_set_name": "DM Mathematics"
} |
Give prob of picking 2 v, 1 l, and 1 x.
18/715
Two letters picked without replacement from zczzzcz. What is prob of picking 2 c?
1/21
Two letters picked without replacement from {o: 14, r: 4}. What is prob of picking 1 r and 1 o?
56/153
Four letters picked without replacement from {g: 6, u: 6}. What is prob of picking... | {
"pile_set_name": "DM Mathematics"
} |
+ (1 + 2 - 2)*(-2*s**3 - 3*s**3 - 3*s**3).
-10*s**3
Expand (-2*x**2 + 0*x**2 + 6*x**2 + (-1 + x + 1)*(-2*x + x + 0*x) + 2 - 2 - 2*x**2)*(-2*x**2 + x**2 - x**2).
-2*x**4
Expand -3*q**4 + 3*q**4 - q**5 + (-3*q**2 + q**2 - 3*q**2)*(-q**3 - 2*q**3 + q**3).
9*q**5
Expand (2*r + r - 2*r)*(3 - 3*r - 2 + 4*r)*(4*r**2 - 4*r**2... | {
"pile_set_name": "DM Mathematics"
} |
13, what is 30c - b8?
224
In base 3, what is 1012 - -112110?
120122
In base 2, what is 10 + 110111010011101?
110111010011111
In base 9, what is -16 + -237?
-254
In base 4, what is 221012133 + -2?
221012131
In base 12, what is 68 - -7633?
769b
In base 4, what is -330 + 303000?
302010
In base 9, what is -878504 + -2?
-8... | {
"pile_set_name": "DM Mathematics"
} |
ding order.
117, 36, 2, 0, -4
Sort 332/13, 0, -163 in decreasing order.
332/13, 0, -163
Sort -2, -0.3, -3/8, -1/2, 8, -37/2 in ascending order.
-37/2, -2, -1/2, -3/8, -0.3, 8
Sort 1, -1/72, -5, 2.11 in decreasing order.
2.11, 1, -1/72, -5
Sort 1/53, -6, -3, -1/7, 2/15, -5/2 in descending order.
2/15, 1/53, -1/7, -5/2, ... | {
"pile_set_name": "DM Mathematics"
} |
*(-29)*(w*(w*w**5)/w*w)/w**(-3)*((w/(w/w**5))/(w/(w*w/w**(1/10)*w*w)))/(w*w**(-2/7))**(1/4) assuming w is positive.
w**(-7669/140)
Simplify (p**(-3/14)/p**(-2/25)*p**(-1)/(p/p**(1/4)*p))**(-1) assuming p is positive.
p**(2019/700)
Simplify (d**(-5/11)/(d*(d/d**(1/3))/d)*d*d*((d**(4/11)*d)/d)/d*d*d/(d/(d*(d**(-10)/d)/d)... | {
"pile_set_name": "DM Mathematics"
} |
-2007) + -82*(-1)/9. Calculate the greatest common divisor of k and v.
9
Suppose 140 = 4*x + 4*a, 64*x - 65*x - 2*a + 40 = 0. Calculate the highest common divisor of 1710 and x.
30
Let h be (-6)/(-1) - (12 - (-4 - -13)). Calculate the highest common factor of 7 and h.
1
Suppose 3792*c - 3794*c + 268 = 0. What is the hi... | {
"pile_set_name": "DM Mathematics"
} |
**3 + 8*t**2 - 24*u**4 + 20*u**2 wrt u?
192*t**2*u - 18*t**2 - 576*u
What is the first derivative of -2*f**2*j*n + 3*f**2*n + 4*f**2 - 3*f*n - j*n + 220*j - 2 wrt n?
-2*f**2*j + 3*f**2 - 3*f - j
What is the second derivative of -6*x**5 - 590*x**4 - 601*x + 3 wrt x?
-120*x**3 - 7080*x**2
Find the second derivative of 12... | {
"pile_set_name": "DM Mathematics"
} |
3047, 10195, 24095, 46997?
81151
What is the next term in 4089, 4032, 3931, 3780, 3573, 3304?
2967
What is next in -73, -11, 165, 515, 1099?
1977
What comes next: -28483, -28478, -28473, -28468, -28463, -28458?
-28453
What is the next term in 449, 567, 685, 803, 921, 1039?
1157
What is next in -38560, -77126, -115696,... | {
"pile_set_name": "DM Mathematics"
} |
)/a**(-2/69))/((a/(a/(a*a**(-1/5))))/a**7) assuming a is positive.
a**(7324/345)
Simplify (t**22)**(-38)/(t**(-32)/t*t*t*t**(-11)/t) assuming t is positive.
t**(-793)
Simplify ((w/((w**(-2/11)*w)/w))/(w**2*w)*w**(6/7)/w*(w*w**(-3/10))/w*w)**(-41) assuming w is positive.
w**(39811/770)
Simplify ((j**(1/6)*j**(-7)/j*j)**... | {
"pile_set_name": "DM Mathematics"
} |
nd the third derivative of 3*c**2 + c**2 + 3*c**2 + 9*c**3 wrt c.
54
Let u(s) = 13*s**3 - 4*s**2 - 10. Let f(d) = -12*d**3 + 3*d**2 + 9. Let z(p) = 4*f(p) + 3*u(p). What is the derivative of z(i) wrt i?
-27*i**2
Let j(i) be the second derivative of 31*i**4/12 + 37*i**3/6 - 18*i. What is the second derivative of j(f) wr... | {
"pile_set_name": "DM Mathematics"
} |
l in m(l) = 0?
2
Let x be 44 + -3 - (2 - 1). Suppose w - x = -3*w + 4*g, 0 = -4*w + 3*g + 43. Factor r**4 + 4*r - 3*r - w*r**3 - 2 + 4*r**4 + 9*r**2.
(r - 1)**3*(5*r + 2)
Let u(x) = 10*x**3 + 10*x**2 - 10. Let f(l) = 9*l**3 + 10*l**2 - l - 10. Let v(z) = -5*f(z) + 4*u(z). What is p in v(p) = 0?
-2, -1, 1
Let o**2 - o*... | {
"pile_set_name": "DM Mathematics"
} |
s. What is z in j(z) = 0?
-2, -1, -1/4, 2
Factor 0*o - 2/11*o**4 + 0*o**3 - 2/11 + 4/11*o**2.
-2*(o - 1)**2*(o + 1)**2/11
Let y(d) be the first derivative of -d**5/20 + d**4/36 + d**3/9 + 3*d + 7. Let t(f) be the first derivative of y(f). Factor t(x).
-x*(x - 1)*(3*x + 2)/3
Let k(h) be the third derivative of h**7/1260... | {
"pile_set_name": "DM Mathematics"
} |
ive of t(w) wrt w?
30
Let q(x) = x - 3. Let a be q(8). Suppose -3*v + 4*m + 6 = -8*v, a*v + 3*m + 2 = 0. What is the second derivative of l - l**v + 5*l + 2*l**2 - 5*l wrt l?
2
What is the third derivative of -11*r**2 - 31*r**4 + 11*r**4 - 21*r**4 - 22*r**2 wrt r?
-984*r
Let w be (-100)/(-15) - (-2)/(-3). What is the d... | {
"pile_set_name": "DM Mathematics"
} |
- -1/32. Let f = -319/4 + 159/2. Which is the smallest value? (a) q (b) 1 (c) f
c
Let v = -2.81 - -2.9. What is the biggest value in 0, v, -2?
v
Let a = 3.9 + -4. Let c = -34 + 33.81. Let k = c - 0.81. What is the smallest value in -0.4, k, a?
k
Let i = 0.18 - 1.28. Let x = 32 - 31.1. Let u = i + x. Which is the sma... | {
"pile_set_name": "DM Mathematics"
} |
u(v) wrt v?
-12*v**3
Let n(a) = 64*a**2 - 9*a + 6. Let h(x) = 129*x**2 - 20*x + 12. Let t(d) = 4*h(d) - 9*n(d). What is the second derivative of t(g) wrt g?
-120
Let l(n) = 87*n + 184. Let q(s) = -176*s - 368. Let b(w) = -7*l(w) - 4*q(w). Differentiate b(u) wrt u.
95
What is the second derivative of 201*m + 56*m**2 + 3... | {
"pile_set_name": "DM Mathematics"
} |
alue of (-2)/(-8) + 6/4 - (-65)/(-52)?
1/2
What is 176/7 + -2 - 23?
1/7
((-174)/(-290))/((-27)/5)
-1/9
What is ((-35)/(840/(-32)))/((-4)/(-30) - 0)?
10
Calculate ((66/77)/((-8)/140))/1.
-15
Calculate 37/333 - (-138)/(-27).
-5
What is (2/(-6))/(153/(-4590))?
10
What is the value of (6/(-5))/(726/(-110))?
2/11
What is -2... | {
"pile_set_name": "DM Mathematics"
} |
m.
2
Solve 25*a = 5*k + 120 - 15, 0 = 2*k - a - 667 + 673 for k.
-1
Solve 0*r + 5*r - 3*r = r - 3*r + 4*z - 28, 3*z - 21 = 0 for r.
0
Solve -55*o + 295 = 4*q, 15271*o + 40 = 15276*o + 3*q for o.
5
Solve 23*k + 4*q + 76 = -358, -49 = 3*k - q for k.
-18
Solve 5*x - p = 43, 11*x + 8*x + 4*p - 2*p + 19 = 22*x - 2*p for x.... | {
"pile_set_name": "DM Mathematics"
} |
(4*g - 4*g + 3*g)*(3 - 3 + 8) + 2*g - 20 + 20)*(1 + 1 + 0).
52*g
Expand -2*f**4 - 10 + 10 + (0*f**3 + 2*f**3 - f**3)*(2*f - 3*f + 6*f)*(-3 + 2 - 5).
-32*f**4
Expand (-23 - 1 + 3)*(10 - 10 + 14*z).
-294*z
Expand ((6 - 7 - 7)*(4 + z - 4) - 4*z + 2*z + 5*z)*(-1 + 3 + 0 + (0 + 5 - 3)*(-1 - 6 + 2)).
40*z
Expand (-j + 27*j +... | {
"pile_set_name": "DM Mathematics"
} |
ue
Is (-58952)/12*(-3 + (-12)/(-8)) prime?
True
Suppose 77600 = 7*n - 1311. Is n a composite number?
False
Let k = -101 - -294. Suppose -5*v + 777 = -k. Is v prime?
False
Let q(o) = -o**3 + 7*o**2 - 6*o - 8. Let x be q(7). Let y be (-20)/x + 16/10. Suppose -6*b - v + 54 = -b, y*b - 8 = 3*v. Is b composite?
True
Is (-25... | {
"pile_set_name": "DM Mathematics"
} |
*i - 3465*b + 3462*b + 3 for i.
0
Solve 4*p = -4*b - 44, -41*p + 103 = -5*b - 30*p for b.
-14
Solve 26 = 5*f - o, 5*f - 1167 = -5*o - 1177 for f.
4
Solve 0 = -3*f + 3*j + 9, f - 7 = 410*j - 408*j for f.
-1
Solve 5*p = 2*x - 23, p = 2*x + 27 - 49 + 19 for p.
-5
Solve -5*k + 3*x = 12, 5169*k + 3*x = 5172*k + 6 for k.
-3
... | {
"pile_set_name": "DM Mathematics"
} |
= 0, 5*x + 2*v - 470 = -3*v. Calculate the greatest common factor of x and 10.
10
Let u = -2 + 1. Let y be u - -5 - (2 + 0). What is the highest common divisor of y and 18?
2
Let q be 264/10 + 6/10. Calculate the greatest common divisor of 3 and q.
3
Let d(f) = 7*f + 6. Let c be d(0). Suppose 5*v - 79 = 191. What is t... | {
"pile_set_name": "DM Mathematics"
} |
- 3*k. Let h be v(3). What is the nearest to h in -3, 2, q?
q
Let x = 2.25 - 2.5. Let z = -3.75 + x. What is the nearest to -1/4 in -3, 0, z?
0
Let o = -48 - -47. Let t = 7 + -10. What is the nearest to o in t, 2, 0?
0
Let s = 547 + -546.7. What is the closest to -1 in s, -1/8, 8/9?
-1/8
Let s = 301/1474 + -3/134. What... | {
"pile_set_name": "DM Mathematics"
} |
t = -1.12 - -1. Let o = 1.88 - t. Which is the second smallest value? (a) -0.1 (b) o (c) 0.2
c
Let j = 9 + -19. Let f be (1 + -3 + 1)*j. Let s be f/35 + 25/(-14). What is the third biggest value in -3, s, -1?
-3
Let v = -0.09 + -0.11. Which is the biggest value? (a) v (b) 0.5 (c) -0.04
b
Suppose 7*k - 9*k = 2. Wh... | {
"pile_set_name": "DM Mathematics"
} |
M?
8:43 PM
What is 586 minutes before 2:01 PM?
4:15 AM
What is 373 minutes after 5:04 PM?
11:17 PM
How many minutes are there between 3:45 PM and 1:26 AM?
581
How many minutes are there between 9:34 PM and 8:29 AM?
655
How many minutes are there between 8:25 PM and 3:26 AM?
421
How many minutes are there between 2:59 A... | {
"pile_set_name": "DM Mathematics"
} |
Let c(x) = -3*x**3 - 5*x**2 - 31*x - 5. Give -8*c(z) - 5*t(z).
-z**3 + 13*z
Let g(w) = -217*w**2 + 49. Let i = 1934 - 1983. Let q(m) = -9*m**2 + 2. Determine i*q(c) + 2*g(c).
7*c**2
Suppose 8*n - 5*n + 10 = h, -3*n - 8 = -2*h. Let j(z) = 7*z + 5. Let o(x) = -3*x - 2. Let k = -18 + 28. Let r be (11 + -1)/(k/(-5)). Calcu... | {
"pile_set_name": "DM Mathematics"
} |
3).
-6
Evaluate -7 - (2 - (-6 - (-2 - (-5 + 0)))).
-18
What is the value of (8 - 2) + (-6 - (4 - -2)) - -15?
9
13 + -1 + -9 + 2
5
What is the value of -6 - (-15 + (23 - 0))?
-14
What is the value of 0 + -4 - (13 - 33 - -12)?
4
2 + 8 + (-15 - (4 + -20)) + -7
4
Evaluate (-3 - -11 - (5 + -3)) + -7 + -5.
-6
What is (-2 - ... | {
"pile_set_name": "DM Mathematics"
} |
-1213, -1399, -1657, -1987, -2389, -2863?
-3409
What is the next term in -269, 1506, 4467, 8614, 13947?
20466
What is the next term in 2196, 16874, 56738, 134382, 262400, 453386, 719934, 1074638?
1530092
What comes next: 1066271, 2132520, 3198719, 4264844, 5330871, 6396776, 7462535?
8528124
What comes next: -976378, -... | {
"pile_set_name": "DM Mathematics"
} |
609639*i - 162621045.
-(i - 28515)**2*(i + 1)/5
Suppose 2*j**2/9 - 170*j + 234472/9 = 0. What is j?
212, 553
Factor 3*k**3 - 2013*k**2 - 176640*k - 832500.
3*(k - 750)*(k + 5)*(k + 74)
What is r in 24244*r**2 + 193950*r - 16 = 0?
-8, 1/12122
Factor -c**3 - 76*c**2 + 26487*c - 130410.
-(c - 126)*(c - 5)*(c + 207)
Factor... | {
"pile_set_name": "DM Mathematics"
} |
is greater: c or d?
d
Suppose 0 = 3*f - 5*o - 7, 4*f - 7 = 5*o - 1. Do f and -14/9 have the same value?
False
Let d be (-3 - -2) + 78/74. Is 0 equal to d?
False
Let r(i) = -2*i + 6. Let l be r(9). Which is greater: l or -14?
l
Let s(r) = r**3 + 2*r**2 + r - 1. Let u = 5 + -7. Let b be s(u). Is b != -2?
True
Let z be (-... | {
"pile_set_name": "DM Mathematics"
} |
. Determine t*u(j) + 4*b(j).
-j + 1
Let y(k) = -5*k + 7. Let a(h) = -9*h + 14. What is -3*a(w) + 5*y(w)?
2*w - 7
Let h(q) = 2*q**3 + 3*q**2 - 2*q + 6. Let j(m) = m**2 - m + 1. Determine -h(t) + 3*j(t).
-2*t**3 - t - 3
Let x(r) = -r**3 - r**2 + r. Let w(g) = 10*g**3 + 6*g**2 - 9*g - 1. Calculate w(v) + 6*x(v).
4*v**3 - ... | {
"pile_set_name": "DM Mathematics"
} |
c) 2
c
What is the third biggest value in -0.13, 1/20, -2/5?
-2/5
What is the biggest value in -0.4, -3, 2, -133?
2
What is the second biggest value in 5, -124, 0?
0
What is the third smallest value in -0.2, 18/11, -8/3?
18/11
Which is the fourth biggest value? (a) -14 (b) 1/11 (c) -2 (d) 5
a
Which is the third sma... | {
"pile_set_name": "DM Mathematics"
} |
9*i - 1. Let k be g(10). Let w(p) = 19*p - k*p - 9*p. Let f(s) = -2 + 2*s + 2. Calculate f(w(c)).
2*c
Let j(r) = -r. Let i(b) = 8*b - 10. Let c(w) = -w + 1. Let h(n) = 20*c(n) + 2*i(n). Determine h(j(u)).
4*u
Let y(u) be the third derivative of -1/12*u**4 + 5*u**2 + 0 + 0*u + 0*u**3. Let s(g) = g**2. Determine y(s(c)).... | {
"pile_set_name": "DM Mathematics"
} |
-871, -1113?
-5*z**2 - 197*z - 3
What is the o'th term of -680, -584, -490, -398, -308, -220, -134?
-o**2 + 99*o - 778
What is the d'th term of -58, -233, -524, -931, -1454, -2093, -2848?
-58*d**2 - d + 1
What is the p'th term of -8, -31, -90, -203, -388, -663, -1046, -1555?
-3*p**3 - 2*p - 3
What is the o'th term of ... | {
"pile_set_name": "DM Mathematics"
} |
5120*u**2 + 440*u + 6
Let m(k) = -2*k. Let v(o) = -84*o + 569*o - 277*o. What is m(v(s))?
-416*s
Let x(h) = 4*h. Let o(q) = 171685925*q**2. Calculate x(o(f)).
686743700*f**2
Let v(i) = 2*i**2 - 16*i + 29. Let w be v(5). Let a(n) = n - 4. Let r(f) = 21*f - 69. Let o(g) = w*r(g) + 18*a(g). Let u(q) = -2*q**2. What is u(o... | {
"pile_set_name": "DM Mathematics"
} |
he units digit of k?
5
Suppose 2*v - 28 = -2. Let h = 27 - v. What is the units digit of h?
4
Suppose -5*m - l + 126 - 26 = 0, -3*l - 4 = -m. What is the units digit of m?
9
Suppose 0 = -5*z + 10, 4*z + 585 + 612 = 5*o. What is the tens digit of o?
4
Let o(k) = k**2 + 8*k - 2. Let c be o(-8). Let s = 7 + c. What is the... | {
"pile_set_name": "DM Mathematics"
} |
0)*-6.
2/19
(17 - 15)*-2 - 51/(-13)
-1/13
Evaluate (-2)/(-14) - 576/(-84).
7
What is the value of ((-27)/(-54))/(1/(-2))?
-1
Evaluate (-76)/114 + ((-20)/6 - -2).
-2
Evaluate ((-64)/(-24))/(8/12).
4
Evaluate 0/(-3) - -5*(-54)/45.
-6
Calculate (65/(-312))/((-20)/12).
1/8
Calculate 8032/753*(-6)/(-8).
8
What is (-6)/15 - ... | {
"pile_set_name": "DM Mathematics"
} |
*3*t**3 - c**2*q*t - c**2*q + c**2*t**3 - 43*c*q*t**3 - c*q*t + 4 wrt c?
-984*c*q - 12*q - 12*t**3
What is the second derivative of -69*h**3*o**5 + 83*h**3*o**3 + 5538*h**3 + o wrt o?
-1380*h**3*o**3 + 498*h**3*o
What is the third derivative of 131*q**5 + q**4 - 4*q**3 + 11481*q**2 + 42*q?
7860*q**2 + 24*q - 24
What is... | {
"pile_set_name": "DM Mathematics"
} |
**2 - 3*c - 4. Let i(k) = -9*v(k) - 2*z(k). Let p be i(-1). Solve q = -p, -q = -0*m + m for m.
2
Suppose -i = -4*d + 42 - 62, 3*i + d - 8 = 0. Solve -2*v = i*z + 8, -3*z - 9 = -5*v - 3 for v.
0
Let l(n) be the third derivative of n**6/40 + n**5/15 - 5*n**4/24 - n**3/3 + 5*n**2 - 7. Let p be l(-2). Solve p = 5*m - 0*a +... | {
"pile_set_name": "DM Mathematics"
} |
8).
14/9
What is (1 + -3)*2594/11673?
-4/9
Calculate 1 - (333408/(-7152))/(-46).
-2/149
What is 627/(-22572) - (-4)/(576/1924)?
40/3
Calculate (-39 + 875/70)/(4*(-4)/(-32)).
-53
Calculate 38 + (-4743)/102 + (-685)/(-80).
1/16
What is the value of 9798/3195 + (-38)/10 + 12/15?
1/15
What is (-14 - 1457/(-31))*(-3)/21?
-3... | {
"pile_set_name": "DM Mathematics"
} |
t are the prime factors of 1575083?
1575083
List the prime factors of 12162423.
3, 7, 13, 23, 149
List the prime factors of 438906.
2, 3, 13, 17, 331
List the prime factors of 1824753.
3, 7, 31, 2803
List the prime factors of 390356.
2, 23, 4243
List the prime factors of 4593757.
7, 17, 38603
List the prime factors of ... | {
"pile_set_name": "DM Mathematics"
} |
, 1518524, 2025090?
2531852
What is the next term in 568, 873, 932, 745, 312?
-367
What is the next term in -858541240, -858541241, -858541242, -858541243, -858541244?
-858541245
What is the next term in 1542587, 3084859, 4627131, 6169403, 7711675, 9253947?
10796219
What comes next: 195443, 195502, 195561, 195620, 1956... | {
"pile_set_name": "DM Mathematics"
} |
-4*c - 2*x + 4*x - 94 = -3*x for c.
-26
Solve 5*c = -3*f + 15*f + 52, 59*f - 12*c + 252 = 62*f for f.
4
Solve -7737*r - 5 + 119 = -7736*r - 46*x, -3*r + 64 = x for r.
22
Solve 44*k - 103 = 41*k + 5*s, 115 = 55*k - 14*s + 2*s + 9*s for k.
1
Solve -y - 78 = -7*h - 0*y, -349*y + 352*y = -h - 124 for h.
5
Solve 4*g - 40 =... | {
"pile_set_name": "DM Mathematics"
} |
4*i - i - w for p.
5
Suppose -8*r + 91 - 59 = 0. Suppose 4*s + 14 = -2*i + 5*i, 3*i = -3*s + 21. Let l = -6 + i. Solve -r*v = -d - 2, -2*v + 4 = d - l for d.
2
Let y be 46/6 + (112/(-21))/(-16). Solve 0 = 2*o - 6, j + y*o - 8 = 4*o for j.
-4
Let v be ((-5)/(-2) + -3)*26. Let o = 25 + v. Suppose -3*r = 2*f - 4, -3*r - 2... | {
"pile_set_name": "DM Mathematics"
} |
ify ((((t/(t**10/t))/t)/t)/t*(t*t/(t**(-2/33)/t))/t)/(t*t*t*t**(4/7)*t*t/((t**(-1/7)/t)/t)) assuming t is positive.
t**(-3847/231)
Simplify (s**5)**(15/2)*(s/(s/(s*(s*s**(-4/3)*s)/s)))**(-12/17) assuming s is positive.
s**(1259/34)
Simplify (s*s/(s/s**(-1)))**39/(s**(-1/6)*s/s**(2/3)) assuming s is positive.
s**(-1/6)
... | {
"pile_set_name": "DM Mathematics"
} |
o -3 in 4, 2, -1/2, 1?
-1/2
What is the closest to -4 in -1, 0.05, -0.9?
-1
What is the nearest to 1 in 21/4, 4, -0.051?
-0.051
What is the closest to -1/4 in -2, 0.6, 4?
0.6
What is the nearest to 2 in -4, 3.6, 3?
3
What is the closest to 0 in 2/13, 2/9, 0.3, -4?
2/13
What is the closest to 275 in -5, 2/17, 1/5, -2?
1... | {
"pile_set_name": "DM Mathematics"
} |
367, 9844422, 9844477, 9844532, 9844587?
55*l + 9844312
What is the n'th term of -7927, -8087, -8353, -8725, -9203, -9787?
-53*n**2 - n - 7873
What is the t'th term of 4489748, 8978946, 13468158, 17957390, 22446648, 26935938?
t**3 + t**2 + 4489188*t + 558
What is the v'th term of 2792785, 5585544, 8378301, 11171056, 13... | {
"pile_set_name": "DM Mathematics"
} |
3 + 29021. Is 121 a factor of f?
True
Let o(m) = m**3 + 7*m**2 + 4*m + 16. Let d be o(-6). Does 23 divide (-8)/d + 1045/7?
False
Let p(d) = 25*d**2 + 62*d + 770. Is p(-11) a multiple of 5?
False
Let k = 33 - 61. Let t = k + 301. Suppose 0 = -6*m + t + 39. Does 18 divide m?
False
Let k(x) = -3*x - 5. Let i be k(-3). Sup... | {
"pile_set_name": "DM Mathematics"
} |
b**2 + 10*b + 1. Let h be s(m). Suppose 2*j - 15 = -h. Is j a multiple of 2?
False
Suppose 6*m - 5*l - 17 = 3*m, 2*m - 4 = -4*l. Suppose -12 = -m*v, -5*g = -4*v - 340 - 93. Is 15 a factor of g?
False
Let n be 1*3*(-14)/(-42) - 0. Is 16/(-5 - -4)*(-4 - n) a multiple of 16?
True
Suppose -2*l = -3*l + 31. Suppose 56 = 4*... | {
"pile_set_name": "DM Mathematics"
} |
. Let q be -1*1*(-16)/m. Which is the nearest to -2/5? (a) -0.2 (b) q (c) 4/7
b
Let s = 1.2 + -1.5. What is the closest to -1 in -0.1, -1, s?
-1
Let k = -3 + 8. Suppose 0*x + 10 = -k*x. Suppose -4*z - 2 - 2 = 0. Which is the nearest to -1? (a) -1/8 (b) x (c) z
c
Let k = 11.78 - -0.22. Let z = k + -12.5. What is t... | {
"pile_set_name": "DM Mathematics"
} |
the closest to 4 in 2, 4, 2/77, -0.1?
4
Which is the nearest to -0.1? (a) -2/15 (b) 5/7 (c) 2
a
Which is the closest to -0.05? (a) -1 (b) 3/5 (c) -1/5 (d) 0.5
c
What is the nearest to -0.1 in 6/11, 2/15, 0.4, -7?
2/15
What is the closest to 0 in -2/9, -4/13, 5, -3?
-2/9
What is the closest to 141 in -2/15, 0.4, ... | {
"pile_set_name": "DM Mathematics"
} |
hen 196863 is divided by 16?
15
What is the remainder when 21936 is divided by 47?
34
Calculate the remainder when 3533807 is divided by 996.
995
What is the remainder when 177955 is divided by 41?
15
What is the remainder when 789228 is divided by 338?
336
What is the remainder when 38143 is divided by 12647?
202
What... | {
"pile_set_name": "DM Mathematics"
} |
second biggest value in 0.3, v, w?
0.3
Let s = 1 - 1. Let n = -0.67 + 0.67. Let j = s + n. What is the biggest value in -4, j, -0.4?
j
Let t = 0 + -1. Suppose 4*x - 5*f = -17, 0 = 104*x - 108*x + 3*f - 7. Which is the second smallest value? (a) 0 (b) x (c) t
a
Let l = -63 - -64. Which is the smallest value? (a) -1.... | {
"pile_set_name": "DM Mathematics"
} |
w is positive.
w**(-7079/46760)
Simplify h*h/((h**(-8)*h)/h)*h*h*h**(1/3)*h*(h**(2/7))**(-6/25)*(h**(1/7)/((h/(h/h**(-2/27)))/h*h*h))/(h**(-2)/h*h)**38 assuming h is positive.
h**(418076/4725)
Simplify (((j**0)**7*((j**4/j)/j)/(j**(4/3)/j))**(2/11))**(2/43) assuming j is positive.
j**(20/1419)
Simplify (j**12*j/(j/(j*j... | {
"pile_set_name": "DM Mathematics"
} |
is -65275299 plus 6?
-65275293
-20.277624729 - -0.4
-19.877624729
What is -16952 less than 1.98192?
16953.98192
What is -3285 plus -2469?
-5754
What is 0.5 minus 22021144?
-22021143.5
Calculate -74 + 13300498.
13300424
Work out 143745558 - -5.
143745563
-0.03 + -129251
-129251.03
Add together 18.167 and 72.6128.
90.77... | {
"pile_set_name": "DM Mathematics"
} |
est to 44 in -7/2, -0.06, 1/9, 0.2, 49?
49
Which is the nearest to 0? (a) 0.4 (b) 0.06 (c) 2320 (d) -10
b
Which is the closest to -1/3? (a) -0.5 (b) 0.08 (c) -2139622
a
What is the closest to 1/3 in 1, 232/2091, -2, -1/4?
232/2091
What is the nearest to -49/9 in 52, -2/9, 14, -2, 2, 0.3?
-2
What is the nearest t... | {
"pile_set_name": "DM Mathematics"
} |
rime factors of 1001653.
937, 1069
List the prime factors of 269291.
11, 24481
List the prime factors of 19151405.
5, 7, 13, 859
What are the prime factors of 1110003?
3, 23, 16087
What are the prime factors of 3410010?
2, 3, 5, 37889
List the prime factors of 461927.
607, 761
What are the prime factors of 175988?
2, 4... | {
"pile_set_name": "DM Mathematics"
} |
Suppose -5*o - 59 - 21 = -5*b, 0 = b + 2*o - 4. What is the remainder when 33 is divided by (-4)/(-16) - (-201)/b?
16
Let g = -6 + 7. Suppose -7 - 3 = -5*y. What is the remainder when y is divided by g?
0
Suppose -12 = -w - 3*w. Suppose 3*r - w = 0, 0 = -3*x + x - 4*r + 28. Calculate the remainder when 59 is divided b... | {
"pile_set_name": "DM Mathematics"
} |
-43/10?
901980
Find the common denominator of 43/893 and 24/11.
9823
Find the common denominator of -17/12030 and 91/12030.
12030
Calculate the common denominator of -3/3568 and -69/11312.
2522576
What is the common denominator of -85/58443 and -123/3388?
233772
Calculate the least common multiple of 110048 and 5792.
1... | {
"pile_set_name": "DM Mathematics"
} |
et x = -4 + 7. Let w = 159 + -156. Suppose 9*y**w + 5*y**3 + y**2 - 13*y**x = 0. What is y?
-1, 0
What is v in -68*v**2 - 74 - 67*v + 71*v**2 + 398 - 5*v = 0?
6, 18
Let f(g) be the second derivative of -1/16*g**3 + 0*g**6 - 1/336*g**7 + 0 + 18*g + 1/48*g**4 + 1/40*g**5 - 1/8*g**2. Factor f(d).
-(d - 2)*(d - 1)*(d + 1)*... | {
"pile_set_name": "DM Mathematics"
} |
r a(v).
v**4
Let l(d) = d**2 + 6*d - 1. Let t(s) = -s**2 - s - 1. Let g(p) = -l(p) - 2*t(p). Find w such that g(w) = 0.
1, 3
Let l(h) be the first derivative of -1/3*h**3 + 2*h - 3 + 1/2*h**2. Determine n so that l(n) = 0.
-1, 2
Solve -16/3*h**2 - 10/3*h + 4*h**3 - 2/3*h**5 + 4 + 4/3*h**4 = 0 for h.
-2, -1, 1, 3
Let f(... | {
"pile_set_name": "DM Mathematics"
} |
4) + sqrt(66) + -4*(sqrt(66)*-3 - sqrt(66)))/((1*sqrt(486) + sqrt(486))*5*3))**2.
5819/72900
Simplify ((sqrt(228) + 1*sqrt(228))*2)/(1*sqrt(972) - sqrt(12)) + 4*(sqrt(19) + (-2 + sqrt(19))**2) + 2 + (sqrt(19) - sqrt(19)*2).
-25*sqrt(19)/2 + 94
Simplify 3*(sqrt(637) - -3*sqrt(637))*-2 + (sqrt(104) + ((sqrt(104) - sqrt(1... | {
"pile_set_name": "DM Mathematics"
} |
of -1/12*w**4 - 19*w + 0 - 4/3*w**3 - 5*w**2. Give n(i).
-3
Suppose 5*d = d + 56. Let u = 9 - d. Let b(q) = 9*q**2 + q + 1. Let w(h) = -55*h**2 - 12*h - 4. Let z(l) = -6*b(l) - w(l). What is z(u)?
-7
Let n = 3 + 5. Let c(a) = 2*a**2 + 52*a + 1. Let q(t) = 5*t**2 + 164*t + 12. Let l(p) = -3*c(p) + q(p). Calculate l(n).... | {
"pile_set_name": "DM Mathematics"
} |
11
Suppose 0 = -f + 2 + 5. What is the remainder when 27 is divided by f?
6
Let w(z) = -12*z - z - 3 - 2 + 4. Let f(g) = g**3 + 4*g**2 - g - 5. Let s be f(-4). What is the remainder when 22 is divided by w(s)?
10
Let a be (18/8)/(2/8). Let l(w) = 4*w - 22. Let b be l(9). Suppose -2*k = s - b - a, -k - 5*s = 2. What is... | {
"pile_set_name": "DM Mathematics"
} |
*z. Let s(y) = 9*y**2 - 5*y**2 + 5*y**2 - 15*y**2. Calculate x(s(l)).
-72*l**4
Let l(r) = 8*r**2 + 42. Let x(b) = -21*b**2 - 98. Let z(m) = -7*l(m) - 3*x(m). Let c(n) be the first derivative of 0*n + 0*n**2 - 1/3*n**3 - 1. Give c(z(d)).
-49*d**4
Let v(b) = -2*b**2 + 4*b + 2. Let j(n) = -4*n**2 + 10*n + 5. Let w(u) = 2*... | {
"pile_set_name": "DM Mathematics"
} |
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