text stringlengths 3.26k 8.19k | meta dict |
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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"
} |
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"
} |
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"
} |
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"
} |
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"
} |
*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"
} |
-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"
} |
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"
} |
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"
} |
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"
} |
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"
} |
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"
} |
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"
} |
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"
} |
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"
} |
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"
} |
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"
} |
*4/12 - q**3 + 2*q**2 - 7*q. Let d be o(6). Solve 5*k = -x + 2, d*k - 5*k = -v*x - 16 for k.
1
Let u be -5 + (-12)/(-10)*360/16. Solve f + 8 - u = 3*o, 0 = -4*o - f - 14 for o.
-4
Let l be ((-10)/(-35))/((-3)/(-21)). Suppose 15 = l*v - 7*v. Let z be 2 + 3 + 6 + v. Solve -3*a = -7*a + 2*g - z, a - 7 = 5*g for a.
-3
Let ... | {
"pile_set_name": "DM Mathematics"
} |
1
Let f = -6166 + 3504. Suppose 5*r + 8 = -2*z + z, 5*z + 5*r = 0. Let l be f/(-7) + z/(-7). What is l rounded to the nearest one hundred?
400
Let c(f) = 1621*f - 3. Let u be c(2). Suppose 3*l - 1111 = u. Round l to the nearest one hundred.
1500
Let c = 202 + -112. Round c to the nearest 100.
100
Let h = 0.04 + -5.04. ... | {
"pile_set_name": "DM Mathematics"
} |
7*d**2 + 10*d**4 + 234/7*d**3 - 2/7*d**5 = 0.
-3, -2, 1, 38
Let j(p) = p**2 + 3*p - 61. Let n be j(-10). Suppose 0 = 3*k + 7*u - 4*u - 12, n = 2*k + 3*u. Let 0 + 0*g + g**2 - 3/2*g**k = 0. What is g?
0, 2/3
Let s be 7690/(-3076)*44/(-10). Suppose 29/3*p**2 - s*p**3 - 3 - 40/3*p**4 + 17/3*p - 4/3*p**5 = 0. What is p?
-9... | {
"pile_set_name": "DM Mathematics"
} |
- 4 = b - 2*c. Let g(r) = r**2 - 5*r + 2. Calculate g(b).
8
Let d(q) = -q**2 - 13*q - 26. Suppose -56*w = -61*w - 3*i - 25, 2*i + 6 = 2*w. Determine d(w).
-4
Let i(l) = l**2 + 2*l + 3. Let j = 54 + -50. Suppose 4*d - 62 = 4*a - 10, 0 = -j*d - 3*a + 52. Suppose 0 = -2*r + 9 - d. Give i(r).
3
Let g(b) = -85*b**2 + 44*b**... | {
"pile_set_name": "DM Mathematics"
} |
(a) u (b) y (c) -3
a
Let r = -20 + 21. Which is the second biggest value? (a) -0.02 (b) r (c) 0
c
Let j = -0.005 - -0.105. What is the fourth smallest value in -2/7, -0.4, -1, j?
j
Let p = -878/7 - -126. Let k = -2 - -1. What is the biggest value in 0, k, p?
p
Let g = -0.7 + 0.8. Suppose 21*c - 24*c = 0. Let r = 3... | {
"pile_set_name": "DM Mathematics"
} |
se z = 5*q + 15, -5*q = l - 1 - 1. What is the units digit of l?
7
Suppose 0 = -156*i + 102*i + 262386. What is the units digit of i?
9
Let g be ((-272)/32)/(1/22). Let d = g + 331. What is the units digit of d?
4
Suppose -l + 2*z = -300, 3 = -3*z - 0. Let x = 466 - l. What is the tens digit of x?
6
Let w(a) = -a**3 + ... | {
"pile_set_name": "DM Mathematics"
} |
. Let g be u(5). Let v be (-4)/g + (-7602)/(-63). Suppose -25*i - v = -30*i. What is the units digit of i?
4
Let s(z) = 108*z + 72. What is the tens digit of s(5)?
1
Suppose -3*p + 2*p = -2*h - 2, 3*h - 3*p = 0. What is the units digit of (14/35)/(h/(-180))?
6
Suppose -2*l + 4 = 4*r - 4, -4*l = r - 16. Suppose r = -3*p... | {
"pile_set_name": "DM Mathematics"
} |
is divided by r?
4
Let s(y) = -8*y**3 - 5*y**2 - 2*y + 4. Let f(g) = -71*g + 369. Calculate the remainder when s(-3) is divided by f(5).
13
Suppose 0 = -z - 0*z - z. Suppose -l + 28 + 2 = z. Calculate the remainder when l is divided by 11.
8
Let t = 6 - -9. Suppose -2*v = -t - 77. Calculate the remainder when 181 is d... | {
"pile_set_name": "DM Mathematics"
} |
ative of -4*g**5 - 745*g**4/4 + 20*g**3/3 + 745*g**2/2 + 12892. Suppose p(j) = 0. What is j?
-149/4, -1, 0, 1
Let -2/9*n**5 + 24 + 208/9*n + 58/9*n**4 - 34/3*n**3 - 170/9*n**2 = 0. What is n?
-1, 2, 27
Suppose k - 4*r + 8 = -0*r, 4*r + 8 = 5*k. Suppose -k*f + 38 = 30. Let f*d**2 + 6*d + 3*d**3 - 14*d - d**4 + 2*d**2 - ... | {
"pile_set_name": "DM Mathematics"
} |
= 2*y - 5*b, 15 = y - 3*b. List the prime factors of 1*(-2 - y) - -30.
2, 7
Suppose 5*x - 238 = 3*b + 239, 4 = 4*b. Suppose x = n + 2*n. Let i = n - 18. What are the prime factors of i?
2, 7
Let c be (1/3)/(1/12). Let g be 2/c*10*8. Suppose 4*o - g = -0*o. What are the prime factors of o?
2, 5
Let f = -64 - -81. What ... | {
"pile_set_name": "DM Mathematics"
} |
digit of m?
2
Let j(g) = g + 1. Let x be j(-7). Let a = -3 - x. What is the units digit of a?
3
What is the units digit of (24/9 + -3)*-45?
5
Let b(l) = 13*l - 10. What is the tens digit of b(3)?
2
Let h be -9 + (-1 - 0) + 3. Let p(l) = l + 9. What is the units digit of p(h)?
2
What is the tens digit of (1 + -4)/((-30... | {
"pile_set_name": "DM Mathematics"
} |
*4
Let k(m) = -4*m. Let z(d) = -107*d + 24*d + 326*d. Determine z(k(s)).
-972*s
Let n(y) = -39959*y**2. Let q(b) = -b**2. Give q(n(m)).
-1596721681*m**4
Let j(n) = -n**2 - n + 12. Let w be j(3). Let i(v) be the third derivative of w + 0*v - 1/30*v**5 - v**2 + 0*v**3 + 0*v**4. Let q(d) = -2*d. What is i(q(b))?
-8*b**2
L... | {
"pile_set_name": "DM Mathematics"
} |
= 4*g - 35200, 21*g + 5*n + 8800 = 22*g. Is g a multiple of 100?
True
Let s = -78 + 122. Suppose 0 = -a - 3*r + 4, 3*a = a + 3*r + s. Is a a multiple of 3?
False
Let s be -50*(168/30 - 5). Let z be 114/4*(-4)/3. Let n = s - z. Is 8 a factor of n?
True
Suppose 0 = 9*o - 13*o + 60. Let h be 4*(o/2 + 3). Suppose 3*m - h =... | {
"pile_set_name": "DM Mathematics"
} |
968567.30438. Let u = d + -6521402751. Let x = 29 + u. Round x to seven dps.
-0.0000004
Let z = 34 - 31. Suppose 0*q - 321000 = z*q. Round q to the nearest ten thousand.
-110000
Let a = 646 + -643.824. Round a to one dp.
2.2
Let j = 3364 - 3363.999997669. Round j to seven dps.
0.0000023
Let o be (-5)/(-4)*12/3. Suppose... | {
"pile_set_name": "DM Mathematics"
} |
-3*q + 2*q + o = -5*l. List the prime factors of q.
2, 3, 31
Suppose v + 3*z = 62, -v + z + 50 = -0*v. Suppose 534 = 2*a - 2*m, -4*m - v = -a + 199. Let f = a + -158. List the prime factors of f.
2, 3, 19
Let t be (-89)/(-1*(-1)/(-2)). Let m(q) = 34*q + 1051. Let w be m(-34). Let j = t + w. What are the prime factors o... | {
"pile_set_name": "DM Mathematics"
} |
2 - -1. Sort m, v, c in decreasing order.
c, m, v
Let y = 28.56 + -28. Let n be (-3)/((-59)/236 - (-4 + (-12)/(-4))). Put 0.5, 3/5, n, y in increasing order.
n, 0.5, y, 3/5
Suppose -2 + 5 = -3*g. Let b = 5.001 - 4.001. Put b, -1/3, -1.1, g in descending order.
b, -1/3, g, -1.1
Let q = 5/7533 - 23399/1205280. Put q, -1,... | {
"pile_set_name": "DM Mathematics"
} |
0003
Suppose 0 = -5*r - d + 8, -3*r + 5*d = 2*r - 20. Let j = -8 + 8. Suppose j*f = -r*f + 1200000. What is f rounded to the nearest 100000?
600000
Let o(y) = -5*y - 27. Let w be o(-6). Let l be ((-25994)/2 - w)*(-1 - 0). Round l to the nearest one thousand.
13000
Let m = -0.05500033 + 0.055. What is m rounded to seven... | {
"pile_set_name": "DM Mathematics"
} |
x*k + 5 = 0, 5*j + 2*k + 37 - 4 = 0 for j.
-5
Let n be -1*(-2 + 7 - 9). Solve 0 = 5*c + 3*u - 9, 2*c - 2*u - n = -3*u for c.
3
Suppose 7 = 4*o - 5. Let x be 6/4*(2 - 2/o). Solve 0 = x*g + 3*g - 3*b - 13, -10 = -3*g + 4*b for g.
2
Let f = 10 - 6. Let u(v) = 4*v + 57. Let q be u(-14). Solve -11 = -f*m + s + q, 4*s = m - ... | {
"pile_set_name": "DM Mathematics"
} |
(-14)) and g.
180
Let t be ((-4)/(-2))/(-8) - 1431/(-108). Let m = 29 - t. Calculate the lowest common multiple of (-2)/(-1*2/22) and m.
176
Let m(x) = 2*x + 36. Let z be m(-26). What is the lowest common multiple of 9 and 0*(-4)/z + 4?
36
Calculate the least common multiple of 10554 and 2*2/38 - 8*(-151)/76.
84432
Let... | {
"pile_set_name": "DM Mathematics"
} |
e smallest value in w, -0.2, u, 0.07?
u
Let b = 7.455 - 3.455. What is the second biggest value in b, 4/1231, -5?
4/1231
Let f = 398483 + -398485. Let y = 4 + -3.85. Which is the second smallest value? (a) 2 (b) f (c) y
c
Let y = -8 - -5. Let g = 7966 + -7960. Which is the biggest value? (a) g (b) y (c) -4
a
Let ... | {
"pile_set_name": "DM Mathematics"
} |
third smallest value in f, i, g?
f
Let u = 6 + -5. Let i be (4 + -3)*u/(-2). Let h = -221/14 + 31/2. Which is the smallest value? (a) i (b) -3/5 (c) h
b
Let c be 236/(-4)*(-1)/(-280). Let p = c - 3/40. Let f = -0.6 - -0.3. What is the second smallest value in f, p, -0.2?
p
Let v = 14 + -10. Which is the smallest val... | {
"pile_set_name": "DM Mathematics"
} |
*a(r) + 16*w(r). Determine f(o(j)).
24*j**2 - 1
Suppose -5*u + 3*r = -82, r = -3*u + 5*r + 58. Let p(d) = 4*d + 14 - u. Let k(s) be the second derivative of s**3/2 - 7*s. Calculate k(p(c)).
12*c
Let k(h) = 43 - 89 - 8*h**2 + 46. Let y(q) be the third derivative of -q**7/1260 + q**4/24 - q**2. Let p(u) be the second der... | {
"pile_set_name": "DM Mathematics"
} |
pose -10*r + 20 = -w*r. Solve 0 = r*y - 0*y - b for y.
3
Let n(y) = 2*y**2 + 207*y + 1185. Let v be n(-6). Solve v*g = -41*g for g.
0
Let b(t) = -2*t**3 - 5*t**2 + 9*t - 5. Let g be b(7). Let p = -869 - g. Solve p*d - 86 + 66 = 0 for d.
5
Let k = -16059 + 16065. Solve -k*v - 341 = -377 for v.
6
Let u be 3/(-9)*(3/1 - 1... | {
"pile_set_name": "DM Mathematics"
} |
) = d - 4. Let n be v(4). Which is greater: n or t?
t
Let v = 104 + -201. Which is smaller: v or -487/5?
-487/5
Suppose 0 = 34*d - 17*d - 204. Is d less than 58/5?
False
Let v(z) = -z**2 - 18*z + 145. Let u be v(6). Is u bigger than -3/250?
True
Let x = 4.7 - -2.9. Let b = x + 27.4. Let c = -34 + b. Which is bigger: c ... | {
"pile_set_name": "DM Mathematics"
} |
nearest to d? (a) -4/3 (b) h (c) -0.4
c
Let o be (3 - 1)/(4 + -2). Let z(u) = u**3 - 2*u**2 - u - 2. Let k be z(3). Let n be 4/(-190)*(-9 + k). Which is the nearest to 0.1? (a) o (b) -3 (c) n
c
Let q be ((-1)/(-2))/(6/(-12)). Let k = 159/52 - 30/13. What is the nearest to q in k, -2/23, 3?
-2/23
Let o(t) = t**3 +... | {
"pile_set_name": "DM Mathematics"
} |
3 - 26*f**2 - f + 32. Let p be j(26). Solve -3*z - 17 = 4*x, 3*x + 2*z - 6*z - p = 0 for x.
-2
Let a = 2 - 5. Let z be 21 + -3 + a + 2. Let l be ((-2)/(-4) + 0)*(z + -9). Solve l*f = -2*n - 10, n + 0*n = -5*f - 5 for n.
-5
Suppose -2652 = 4*v - 4*a, 0 = 2*v - 0*v - a + 1323. Let g be v/24*(-8)/(-5). Let u = -41 - g. So... | {
"pile_set_name": "DM Mathematics"
} |
-2227. Solve -h + 0*m - m = n, -m = -h for h.
-2
Suppose -2*y + 0 = m - 8, 5*y = -4*m + 20. Suppose 0 = 3*k - m - 12. Solve 5*j - 28 = k*u - 2, 3*j + 2*u = -2 for j.
2
Let f(s) = s**3 - 18*s**2 + 18*s - 18. Let h be f(17). Let r(c) = -5*c**3 - 3*c**2 - 4*c - 2. Let m be r(h). Solve -4*t - d + 2 = 0, 2*d - 5*d = m*t + ... | {
"pile_set_name": "DM Mathematics"
} |
3*a**3. Calculate o(z).
13
Let n(p) be the third derivative of 0*p - 5/6*p**3 - 1/20*p**5 + 29*p**2 + 0 + 7/24*p**4. Give n(4).
-25
Let v(i) = -i**3 - 16*i**2 - 4. Let g be v(-16). Let x(c) = c - 1. What is x(g)?
-5
Suppose -3*v + 5 = -1. Let z(q) = -2*q**2 - 1 + 3*q**v - 2*q**2 - q. Calculate z(0).
-1
Let p(h) be the ... | {
"pile_set_name": "DM Mathematics"
} |
Let p(g) = 1. Let q(j) = -2*j**2 + 2*j - 7. Suppose 0 = -0*c - 4*c + 8. Suppose 7*i - c*i - 30 = 0. Calculate i*p(r) + q(r).
-2*r**2 + 2*r - 1
Let j(n) = 8*n**3 + 3*n**2 - 3*n + 1. Let u(g) = -9*g**3 - 4*g**2 + 4*g - 2. Determine 4*j(q) + 3*u(q).
5*q**3 - 2
Let t(y) = -8*y. Let j be ((-2)/3)/(4/6). Let k(f) = 7*f - 9. ... | {
"pile_set_name": "DM Mathematics"
} |
s -12*c(h) + w(h)?
-2*h**2 + 4*h - 2
Let o(l) = l**3 + l**2 - 1. Let c(j) = 3*j**3 + 16*j**2 - 3*j - 1. Let g(x) = -4*x**3 - 36*x**2 + 7*x + 1. Let b(y) = 14*c(y) + 6*g(y). Give 3*b(k) - 24*o(k).
30*k**3
Let l(o) = 4*o + 2. Let t(k) = 28*k + 28. What is 4*l(x) - t(x)?
-12*x - 20
Let u be (-12)/(-30)*(5 - 8 - 2). Let l(... | {
"pile_set_name": "DM Mathematics"
} |
*o**2 - 28 - 4*o**3 - 2*o = 0. What is o?
-14, -1, 1
Suppose 11/2*u**2 + 26 - 125/4*u - 1/4*u**3 = 0. What is u?
1, 8, 13
Let f(r) be the first derivative of r**6/5 - 13*r**5/20 + r**4/4 + 3*r**3/2 - 54*r**2 - 22. Let m(y) be the second derivative of f(y). Factor m(s).
3*(s - 1)**2*(8*s + 3)
Let n be (-4 - 2) + 1 - -27... | {
"pile_set_name": "DM Mathematics"
} |
v(f) wrt f.
-27*f**2
Let k(n) = -2*n**4 - 3*n**2 - n. Let l(b) = 5*b**4 + 7*b**2 + 2*b. Let r = -11 - -4. Let t(f) = r*k(f) - 3*l(f). What is the second derivative of t(i) wrt i?
-12*i**2
Let g(n) = n**3 + n**2 - n - 1. Let a(x) = -20*x**3 - 4*x**2 + 2*x - 9. Let m(t) = a(t) + 2*g(t). Differentiate m(p) wrt p.
-54*p**... | {
"pile_set_name": "DM Mathematics"
} |
6
Let z = 2708 + -2694. Solve 11*l - 6*l - 14 = 2*a, 3*l = 4*a + z for l.
2
Suppose -128 = -20*w - 22*w - 22*w. Solve 9*u + 5 = c + 7*u, -w*c = u for c.
1
Suppose 0 = -5*v + t - 2688, -2692 = 5*v - 11*t + 12*t. Let x = v + 542. Solve 5*u + 2*c - 19 = 0, -4*c + 5 = x*u - 3 for u.
5
Suppose 4*n - 4*v = 20, 9*v - 11 = -n... | {
"pile_set_name": "DM Mathematics"
} |
f t**5/30 + t**4/6 - t**3 - 11*t**2 + 3. Let r be d(6). Suppose -p = 5*p - r. Solve 6*h = h + p for h.
3
Suppose -44*j + 179 = -43*j. Let p = j + -175. Solve 7*g - 5*g = p for g.
2
Let a(l) be the third derivative of -37*l**6/120 + l**5/30 - 5*l**4/24 + l**3/2 + 31*l**2. Let b be a(1). Let n = -35 - b. Solve -2*p - 6 =... | {
"pile_set_name": "DM Mathematics"
} |
65 = 33. Suppose -296 = -g*q + 5*v, -v = 2*q + 11 - 283. Does 69 divide q?
True
Let l be 20/3 + 4*4/(-24). Suppose 0 = u + l*u. Suppose u = -2*i + n + 39, 0*n - 39 = -3*i - 5*n. Is i a multiple of 6?
True
Let m = -5 - -8. Suppose 107*n - 114*n = -21. Suppose 0 = -n*d - 12, -m*y + 2*d = -d - 84. Is 22 a factor of y?
Fal... | {
"pile_set_name": "DM Mathematics"
} |
3)/u + (-12)/6. What is the biggest value in n, m, 2/5?
n
Let q = 0.01 + 1.99. Let u(h) = h**3 + 6*h**2 + 5*h - 1. Let w be u(-5). Let l = -15.6 - -16. Which is the second smallest value? (a) q (b) w (c) l
c
Let h = -304 - -904/3. What is the third smallest value in h, 1, 0.4?
1
Let a = -0.29 + 5.29. What is the thi... | {
"pile_set_name": "DM Mathematics"
} |
s*j(c) - 7*p(c)?
-c**2 + 2
Let x(y) = -y - 3. Let q(n) = -18. Calculate -3*q(j) + 18*x(j).
-18*j
Suppose 2*h - 2*g + 7*g - 3 = 0, 2*h + 5 = 3*g. Let d(o) = -o**3 + o**2. Let v(w) = 4*w**3 - 2*w**2 - 4*w. What is h*v(k) - 2*d(k)?
-2*k**3 + 4*k
Let n(u) = -u**2 - u. Let x(v) = 8*v**2 - 5*v. Let i(k) = -n(k) + x(k). Let l... | {
"pile_set_name": "DM Mathematics"
} |
11. Let r = 32 + x. Let a be 2 - (144/(-15))/(-4). What is the nearest to 1/3 in r, a, 2/19?
2/19
Let n = -4/57 + 199/399. Let m = 4/21 - 2/35. Which is the closest to 0? (a) -1/3 (b) m (c) n
b
Let f be (-2)/((-8)/18) - (0 - -4). Let n be 2*4/((-128)/(-6)). Let d = -77 + 691/9. Which is the nearest to f? (a) d (b... | {
"pile_set_name": "DM Mathematics"
} |
Let s(b) = 12*c(b) + 5*x(b). Let z(w) = w. Give z(s(t)).
10*t + 250
Let x(v) = -2*v + 185. Let t(d) = 223*d**2 - 4*d. Determine t(x(f)).
892*f**2 - 165012*f + 7631435
Let t(w) = -103*w - 2. Let q(l) = -12*l + 273. Let h(m) = -2*m + 42. Let y(s) = -39*h(s) + 6*q(s). Determine t(y(d)).
-618*d - 2
Let k(x) = x**2. Let b(... | {
"pile_set_name": "DM Mathematics"
} |
et u = -47.00000119 + 47. Round u to 7 dps.
-0.0000012
Suppose -5*g + 37 = 4*p, -g + 4*p = 3*g - 8. Suppose -2*s + g*s = k + 67499996, 0 = -5*k + 20. Round s to the nearest one million.
23000000
Let d be ((3 - 3) + 5)*-15. What is d rounded to the nearest 10?
-80
Let l(u) = -1486*u**3 + 2*u**2 + 5*u - 1. Suppose 5*w + ... | {
"pile_set_name": "DM Mathematics"
} |
2 + -5. Let m(x) = -1890 + 1890 - 2*x. What is the units digit of m(h)?
4
Suppose -3*t - 12 + 3 = 3*u, 4*u + 2*t + 8 = 0. Let j = 1 - u. Suppose -d = j*d - 27. What is the units digit of d?
9
Suppose 0 = -n - 1 + 15. What is the units digit of n?
4
Suppose 4*v - 2*v + 4 = 0. What is the units digit of (0/(-3))/v + 3?
3... | {
"pile_set_name": "DM Mathematics"
} |
**4/2 - 2752*s**3/3 - 11857*s. Find the second derivative of a(l) wrt l.
-12*l**2 - 12*l + 756
Let b(i) be the second derivative of 2081*i**4/6 + 3113*i**3/2 - 11221*i. What is the second derivative of b(v) wrt v?
8324
Let w(q) = q**3 - 2*q**2. Let x(d) = 236*d**4 - 3*d**3 + 6*d**2 + d + 1201. Let b(m) = 3*w(m) + x(m).... | {
"pile_set_name": "DM Mathematics"
} |
a = 28 + -25. Suppose -d + 3*d + 4*f - 84 = 0, a*f + 112 = 2*d. What is the tens digit of d?
5
Let s = 4 + 4. Suppose -2*n - 2*n + s = 0. Suppose -j = -n*k - 49, -3*j - 2*k + 179 = -0*j. What is the tens digit of j?
5
Let t = -984 + 984. Let z be (-192)/(-14) + (-4)/(-14). Suppose t = -18*j + z*j + 28. What is the uni... | {
"pile_set_name": "DM Mathematics"
} |
tiple of 3?
False
Let m(l) = -6 - 2 + 12*l**2 + 4 - 20*l - l**3 - 5. Is m(8) a multiple of 29?
True
Let s(k) = -3*k**3 + 2*k. Suppose -5*u - 14 = -4. Does 12 divide s(u)?
False
Let x(i) = 5*i**2. Suppose 0 = 3*j - 34 + 49. Is 5 a factor of x(j)?
True
Let z = -11 + 11. Suppose -4*p - p + 80 = z. Let g = p - -40. Is g a ... | {
"pile_set_name": "DM Mathematics"
} |
*u for u.
-2
Let x = -96 + 101. Suppose -x*l + 9*l = 60. Suppose 5*y - 21 = -b, -y + 0*b - l = 5*b. Solve -y*o = -3*o + 2 for o.
-1
Let j be (-59)/(-3) + (-22)/6. Solve 42*w = j*w for w.
0
Let r(q) = 2*q**3 + 16*q**2 + 23*q + 24. Let b be r(-6). Solve 58*a + 86 = -b for a.
-2
Let b(g) = -g**3 - 6*g**2 + 73*g + 21. Let ... | {
"pile_set_name": "DM Mathematics"
} |
ose -14*p - 1555002 = -7924232. Is p a composite number?
True
Let m(k) be the third derivative of 3*k**6/20 - k**5/30 + 11*k**4/24 - 13*k**3/3 - 11*k**2. Let y(t) be the first derivative of m(t). Is y(-5) a prime number?
True
Let s(p) = -35*p + 83 + 61*p - 3*p**2 + p**3 - p**2 - 15*p**2. Is s(29) prime?
False
Suppose -... | {
"pile_set_name": "DM Mathematics"
} |
et j be 6/8 - (-507)/c. Let p = j + -38. Solve -6 = -p*a + 3*a for a.
3
Let o(a) = -3*a**3 + 16*a**2 - 17*a + 1. Let w(r) = 7*r**3 - 31*r**2 + 34*r - 1. Let u(f) = 5*o(f) + 2*w(f). Let d be u(17). Solve s = d*s for s.
0
Suppose g - 2*j - 8 = -0, -2*j = 4*g - 12. Let k be ((-8)/32)/((-3)/36). Suppose 2*p + 2*f - k*f = 2... | {
"pile_set_name": "DM Mathematics"
} |
= 3*l - 4*m - m, -3*m - 6 = 0. Suppose -2*s - 2*u - 292 = 2*u, 0 = 4*s + 2*u + 590. Let d be 103/s - (-27)/36. Is l smaller than d?
False
Let m(f) be the third derivative of -f**6/120 + 2*f**5/5 + 9*f**3 - 19*f**2. Let x be m(24). Which is smaller: 55 or x?
x
Let i be (-3*(-6)/(-18))/1*7. Let h = 25 + -17. Let k = 1 - ... | {
"pile_set_name": "DM Mathematics"
} |
order.
p, -4, -1
Suppose 20 = -4*u - 0*u. Let a be 6*1/(-50)*u. Sort a, 0.1, -2 in decreasing order.
a, 0.1, -2
Let g = -0.09 - -9.09. Let q = -8.6 + g. Let m be ((-2)/3)/(4/6). Put q, 5, m in decreasing order.
5, q, m
Suppose 4*x + 1 = 17. Let o = -13 - -9. Put o, 2, x in ascending order.
o, 2, x
Let v = 0.1 + -0.1. ... | {
"pile_set_name": "DM Mathematics"
} |
41. Let a = t - 34. Suppose -j + 5 + a = 0. List the prime factors of j.
2, 5
Suppose -53 = -5*i + 3*h, -3*i = i + 4*h - 36. Suppose 0 = 2*o - 0*o + i, -190 = -5*f + 3*o. List the prime factors of f.
5, 7
Suppose -6*h - 293 = 43. Let b = -20 - h. Suppose 6*l + b = 8*l. List the prime factors of l.
2, 3
Suppose 0 = h - ... | {
"pile_set_name": "DM Mathematics"
} |
rd derivative of -n**6/15 - n**5/10 + n**4/4 + 7*n**3/6 + 17*n**2. Let v(b) = -9*b**3 - 7*b**2 + 7*b + 8. Give 7*f(d) - 6*v(d).
-2*d**3 + 1
Let t(z) be the second derivative of -z**3/6 - 5*z**2/2 - 7*z. Let v(g) = 1. What is -t(m) - 6*v(m)?
m - 1
Let n(b) = -170*b**2 - 11. Let h(f) = 57*f**2 + 4. Determine -11*h(r) - 4... | {
"pile_set_name": "DM Mathematics"
} |
rt n, o, 10.
o, n, 10
Let q = 0 + -25. Let w be (-21)/5 - 5/q. Let b be 2/6*171/57. Put w, -5, 4, b in descending order.
4, b, w, -5
Let j be 5 - (-1 - -9)*102/(-24) - -6. Put -1, j, 0, 5, -2 in increasing order.
-2, -1, 0, 5, j
Suppose 6*l + 74459 = 74429. Sort -1/4, l, -1/2, -0.6, 3 in decreasing order.
3, -1/4, -1/2... | {
"pile_set_name": "DM Mathematics"
} |
der.
-4, j, f
Let i(y) = 2*y + 13. Let g(p) = -2*p - 19. Let o be g(-7). Let n be i(o). Let r be (14/(-6) + 1)*-3. Put r, 1, n in decreasing order.
r, n, 1
Let p(i) = -2*i**2 - 60*i + 62. Let m be p(-31). Sort -2, -5, 22, m in increasing order.
-5, -2, m, 22
Let o = -5.7 + -75.3. Let m = 83 + o. Let p be 1*(28/2)/(-2).... | {
"pile_set_name": "DM Mathematics"
} |
vided by j.
32
Let m(w) = -8*w + 2. Let j(t) = -59*t - 4. Let h be j(-1). Calculate the remainder when m(-2) is divided by (42/4)/(-4 + h/10).
4
Let k(o) = o**2 - o - 17. Let v = -432 + 437. What is the remainder when 87 is divided by k(v)?
0
Suppose -1499 - 767 = -11*i. Let u = i - 199. What is the remainder when 77 i... | {
"pile_set_name": "DM Mathematics"
} |
2 + l. Let g(z) = 3*p(z) + u(z). Let r = -2559 + 2563. What is the units digit of g(r)?
3
Let m(k) = -1042*k - 1. Let b be m(-1). Suppose -1110 = -3*r + b. What is the tens digit of r?
1
Let s be (78/(-5))/(6/(-15)). Suppose 28675 = s*k - 2*k. What is the tens digit of k?
7
Let g(s) be the first derivative of -s**2/2 -... | {
"pile_set_name": "DM Mathematics"
} |
be w(5). Let x(f) = -f**2 + 7*f + 2. Let b be x(m). Solve l - 4*n = 11, 0*l - n = 5*l + b for l.
-1
Suppose -4*s = -4 + 16, -4*o - 5*s = -45. Let h be 5 + 2 - (4 + -2). Solve 2*m - h*f - 20 = -3*m, -o = 5*m + 2*f for m.
-1
Let k(y) = y**3 - 17*y**2 + 42*y + 8. Let p be k(14). Solve -5*b - 3 = 5*a - p, 0 = -3*a + 5*b +... | {
"pile_set_name": "DM Mathematics"
} |
e c?
True
Let s(h) = -h**2 + 8*h - 1. Does 15 divide s(4)?
True
Let k = 9 - -47. Is k a multiple of 19?
False
Suppose o + 36 = 5*o. Let b = o - 4. Suppose b*h = 73 + 2. Is 15 a factor of h?
True
Let b be 1 + 3 - 2/1. Suppose b*h = 8 + 4. Does 6 divide 134/h - (-4)/6?
False
Let d = -9 - -34. Suppose d = 3*j - 41. Suppos... | {
"pile_set_name": "DM Mathematics"
} |
its digit of h(y)?
1
Let i = 637 + -422. What is the units digit of i?
5
Let i(n) = 12*n + 4. What is the tens digit of i(4)?
5
Suppose 76 = 9*o - 8*o. What is the units digit of o?
6
Let g(z) = -2*z - 4. Let d be 11/(-2) + 15/10. Let j be g(d). Suppose -7 = -3*b - j. What is the units digit of b?
1
Let m = 51 - 28. Wh... | {
"pile_set_name": "DM Mathematics"
} |
2
Let w(s) = 31*s + 3. Let d be w(3). Suppose 5*f = -r + 3*f + 8, f - 10 = -2*r. Let b be (4/6)/(r/d). Solve j = -5*n + 2*n + 7, -5*j + b = -4*n for n.
1
Let q(t) = t**3 + 2*t**2 - 9*t + 5. Let y be q(-3). Solve v - y = 5*i, 5*i - 9 = -4*v - 42 for i.
-5
Let n be 50*(-2 - 95/(-50))*-4. Solve 2*p + 2 = -0, 5*p = -5*f + ... | {
"pile_set_name": "DM Mathematics"
} |
et r be ((-82)/(-3))/(4/6). Does 56 divide 0 + 1002 - r/(205/(-30))?
True
Suppose 7*i = 52257 - 9123. Is i a multiple of 78?
True
Suppose 13*y + 95 = -6*y. Let l(c) = -200*c + 312. Is 11 a factor of l(y)?
False
Let y(q) = -q**3 + 4*q**2 - 2*q - 3. Let z be y(3). Suppose -4*j + m = 5*m - 196, z = 3*m - 9. Is j a multipl... | {
"pile_set_name": "DM Mathematics"
} |
d))?
246*d - 1107
Let h(a) be the third derivative of -11*a**4/24 - 14*a**2. Let n(s) = -s**2. Calculate n(h(d)).
-121*d**2
Let g(x) = 2*x**2 - 13. Let i(n) = -n**2 + 6. Let c(z) = 6*g(z) + 13*i(z). Let j(a) = -4*a**2. Calculate j(c(k)).
-4*k**4
Let b(m) = m**2. Let x = 25 + -19. Let o(j) be the third derivative of -j*... | {
"pile_set_name": "DM Mathematics"
} |
Let o = 1279.4 + -1279. Suppose 0 = 3*z - 7*z - 32. What is the smallest value in 3, z, o, 4?
z
Let o = 80 + -48. Let m = 14 - o. Let s = m - -21. Which is the second biggest value? (a) -1/10 (b) -5 (c) s (d) -0.3
a
Let o be 6 + -7 - 3/(-6). Let m = 11 - -36. Which is the second biggest value? (a) o (b) -0.2 (c... | {
"pile_set_name": "DM Mathematics"
} |
t y = 21 + -20.1. Let r = -0.7 + y. Let m = 2 - 2. Put r, m, -2/3 in descending order.
r, m, -2/3
Let t(a) = a**2 + 4*a - 12. Let g be t(-6). Put -8, g, 5 in increasing order.
-8, g, 5
Let f = -0.07 - 0.13. Let c = 9 + -6. Put -2/13, c, f in descending order.
c, -2/13, f
Suppose n + 0*n + 7 = -3*g, -17 = -4*n + 3*g. Pu... | {
"pile_set_name": "DM Mathematics"
} |
+ v. Is p a prime number?
True
Is (-262108)/(-16) + 18/(-24)*1 a prime number?
True
Let p be (10/(-4) + 2)*(346 + -2). Let l = p - -299. Is l prime?
True
Let c = -278 - -523. Suppose 0*v - v = 0. Suppose 2*t = -7*g + 3*g + 944, g + 5*t - c = v. Is g prime?
False
Suppose -18*v + 68950 = -8*v. Suppose v = 11*g - 4*g. Is... | {
"pile_set_name": "DM Mathematics"
} |
ding order.
8, h, 0, -0.3
Let h = -1788 + 1798. Sort h, 0.1, -7.
-7, 0.1, h
Let h(i) = i**3 + 6*i**2 + 5. Let c be h(-6). Suppose 14*o + 2*o = -48. Sort c, 3, o, 1 in ascending order.
o, 1, 3, c
Let y = -702 + 5613/8. Put -2, -0.1, y, 2/13 in descending order.
2/13, -0.1, y, -2
Let q be 22/(-3)*(16/(-2) + 5). Let y(z) ... | {
"pile_set_name": "DM Mathematics"
} |
n(k) = -10*k - 14. Let h(f) = -14*f - 30. What is 2*h(l) - 5*n(l)?
22*l + 10
Let w(g) = -17*g**2 - 3*g + 755. Let t(h) = -4*h**2 - h. Calculate 4*t(x) - w(x).
x**2 - x - 755
Let s(x) = 11*x**2 + 6*x + 3. Let z(n) = -n**2 + 2*n - 2. Calculate -s(t) - 4*z(t).
-7*t**2 - 14*t + 5
Let u(y) = -85*y**2 - 25*y + 25. Let k = 8... | {
"pile_set_name": "DM Mathematics"
} |
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