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2/(x/2). Suppose -5*r + 4*h + 43 = -187, -h + q = 0. Is 35 a factor of r?
False
Let r be ((-32)/(-20))/(2/5). Suppose -4*a = 3*m + 33, 0 = 3*a - r*a - 3*m - 6. Is 2/(-1)*a/1 a multiple of 16?
False
Suppose 4*b + 3*k = 8019, -392*b + 3*k - 4011 = -394*b. Is 12 a factor of b?
True
Suppose -5*g = -4*z + 117, g - 6*g - 3*z = 131. Suppose 22*u - 2*m + 10 = 20*u, u = -3*m + 3. Let f = u - g. Is f a multiple of 22?
True
Let v = 0 - 6. Suppose -426 = 5*s - 2*w, 2*w + 171 = -2*s + 3*w. Let n = v - s. Is n a multiple of 26?
True
Let z be 4/(-12) - (-22)/(-6). Let j(n) = 4*n**2 + 5*n + 1. Let m be j(z). Suppose -95 = -5*a + m. Is 26 a factor of a?
False
Suppose -2*j + 3*t - t = 2, -2*t - 4 = -5*j. Let d(w) = 0*w**3 + 6*w**2 + 0*w**3 + 6*w - 22*w**j + w**3. Does 17 divide d(16)?
False
Let b(i) = i**2 - 4*i + 3. Let k be b(3). Suppose -648 = -w + 2*w + 3*c, k = -2*w + 4*c - 1316. Is (-4)/10 - w/10 a multiple of 23?
False
Suppose 4*b - 3*b = 5*g - 2042, b - 814 = -2*g. Is 34 a factor of g?
True
Let x(k) = -100*k**3 + 10*k**2 + 9*k - 1. Does 10 divide x(-1)?
True
Let j(h) = 9*h + 28. Is j(4) a multiple of 64?
True
Let z = -3510 + 5478. Is 93 a factor of z?
False
Let t(k) = 4*k**2 + 5*k - 153. Is 18 a factor of t(-17)?
True
Let d be ((-6)/(-4))/(5/60). Let b = 21 - d. Does 25 divide 18/7*7*b?
False
Let w(p) = -218*p + 116. Does 52 divide w(-4)?
True
Let c(g) = -6*g + 24. Let n be c(8). Is 2/2 - n - 3 - 1 a multiple of 5?
False
Let w(t) be the third derivative of -13*t**4/24 + 19*t**3/6 - 6*t**2. Let k be w(-15). Suppose -218 - k = -4*a. Is a a multiple of 18?
True
Let c be 10*(-4)/8*176/(-10). Let k = -71 + c. Is k even?
False
Suppose -9*i + 140 = i. Suppose 0 = 5*j - 2*x - 3*x - 185, j = -4*x + 22. Let n = j - i. Is n a multiple of 5?
True
Let c = 1189 - -603. Does 14 divide c?
True
Let z = 90 + 211. Suppose y + 4*y = -4*b - 287, 3*b - z = 5*y. Let i = 105 + y. Is i a multiple of 24?
False
Let m = 12 + -7. Suppose 41 + 47 = 2*r + 4*i, -3*r + m*i = -77. Is r a multiple of 11?
False
Suppose 6*q - 10*q + 2508 = 0. Suppose 4*o = q + 317. Is 48 a factor of o?
False
Let w = 5 + -11. Let a(j) = j**2 + j. Let y be a(-6). Let h = w + y. Does 24 divide h?
True
Is (-3)/(-6) + 22673/158 a multiple of 18?
True
Is (-1 - -4)/(1*33/1804) a multiple of 4?
True
Let i(l) = -10*l - 2. Let j(x) = 10*x + 1. Let c(k) = 4*i(k) + 5*j(k). Let r = 160 - 157. Is 7 a factor of c(r)?
False
Let v(r) = 4*r**3 + 3*r**2 + 17. Is 5 a factor of v(5)?
False
Suppose 3*c + 25 = 34. Suppose -3*b = b + 3*f - 665, 4*f = -c*b + 490. Is 22 a factor of b?
False
Suppose 0 = 179*u - 182*u + 414. Is u even?
True
Suppose -73*c - 756 = -79*c. Is 7 a factor of c?
True
Let w = -34 + 46. Is w/(-27)*-123 + (-1)/(-3) a multiple of 11?
True
Suppose -4*w - 4*t - 420 = w, -2*t = 3*w + 254. Let q = -26 - w. Is 11 a factor of q?
False
Suppose 12*h = 16*h - 3740. Is h a multiple of 10?
False
Let t = -343 - -525. Is t a multiple of 14?
True
Suppose -z + 0 + 3 = 0. Does 11 divide ((-51)/z + -1)*(-5)/2?
False
Let z be (-1)/10 + 38538/180. Let s = z + -114. Does 10 divide s?
True
Suppose -111*n + 3*x - 1809 = -112*n, -n + 4*x + 1788 = 0. Does 83 divide n?
False
Let f be 2*(-3)/(-24) - (-13)/(-4). Does 10 divide 5 - f - -1*2?
True
Suppose 245 = 2*h + 77. Suppose -2 = 2*y - 3*p + 54, -p = 4*y + h. Is ((-10)/(-10))/((-2)/y) a multiple of 11?
True
Does 14 divide 4/((-12)/3) - (-1054 + 3)?
True
Suppose 0 = 55*g - 61*g + 1272. Is g a multiple of 3?
False
Let u = 27 + 7. Let c = u + -9. Suppose 47 + c = 2*f. Is 23 a factor of f?
False
Let h = 93 - 72. Let s be 2/(-2 - -1) + 4. Suppose f + h = s*f. Is 15 a factor of f?
False
Let c(d) = -7*d**3 + 7*d**2 - 4*d + 8. Let v(k) = k**3. Let x(o) = -c(o) - 6*v(o). Is 20 a factor of x(7)?
True
Let r = 16 + -12. Suppose -c - 3*c + 49 = 3*u, r*c - 31 = 3*u. Let f = c - -26. Is f a multiple of 12?
True
Suppose -5*c + 0*c - 15 = 0. Let k = c - -28. Let q = k + 7. Does 23 divide q?
False
Let a(v) = -v**2 + 6*v + 22. Let r be a(10). Is 196 - (r/7 + (-12)/(-21)) a multiple of 22?
True
Let q(k) = k. Let b be q(4). Suppose -3*h - 2*j = -4*h + 231, -b*h + 3*j = -949. Is h a multiple of 28?
False
Suppose 5*x - 4*b - 8 = 0, -4*x = -3*b + 7*b - 28. Suppose 12 = x*z - 60. Is 9 a factor of z?
True
Let s be (-2)/5 + 874/10. Suppose -60 = -7*j + s. Does 21 divide j?
True
Suppose 2 = 2*j - 10. Let y = 26 - j. Is y a multiple of 13?
False
Is 972 + 4 - -6 - -10 a multiple of 32?
True
Let g(t) = t**3 - 5*t**2 + 5*t - 3. Let q be g(4). Let m be q/(-2*1/(-6)). Does 14 divide (-1)/(129/(-42) + m)?
True
Let z(a) = 4*a**2 + 4*a - 3. Let s be z(-7). Let t = s - 19. Is 15 a factor of t?
False
Let h be 0 - -4 - (-2)/1. Suppose -h = 4*k - 2*k. Does 11 divide (423/(-3))/(-3) + k?
True
Let r be -2 - (2 + -2 + (-4 - 44)). Let l = r - 6. Is l a multiple of 5?
True
Suppose 31*k + 1200 = 36*k. Is k a multiple of 12?
True
Suppose -t + m = -5*t + 5961, 0 = 4*t + 3*m - 5963. Does 10 divide t?
True
Let f(r) = -132*r + 96. Is f(-2) a multiple of 53?
False
Suppose -5*c + 3161 = 161. Is c a multiple of 57?
False
Let k(p) be the second derivative of p**5/20 + p**4/12 + p**3/6 + 30*p**2 - 4*p. Let o be k(0). Suppose o = 3*u + 2*u. Is u a multiple of 9?
False
Let m = -138 + 143. Let k = m - -9. Is 2 a factor of k?
True
Let q = 125 + 115. Is 30 a factor of q?
True
Suppose -91*o = -10*o - 2187. Is o a multiple of 17?
False
Let l be (6/15)/(7/1890). Let w be (-2)/(-4) + 238/(-4). Let o = w + l. Is o a multiple of 15?
False
Let b = 72 - 255. Is ((-2)/(-3))/((-2)/b) a multiple of 17?
False
Let d(k) be the second derivative of k**5/24 - 5*k**4/12 - k**3 + 8*k. Let m(c) be the second derivative of d(c). Is 5 a factor of m(8)?
True
Suppose 0 = -2*o - 3*o - 5*f + 1660, -2*o + 652 = -4*f. Is o a multiple of 33?
True
Suppose -7 = h - 5*k, 4*k = -5*h + 9*k + 25. Does 6 divide (632/(-12))/(-2) + h/(-6)?
False
Let z = -1551 - -2225. Let u = 78 - 81. Does 17 divide z/10 + u/(-5)?
True
Let y(s) be the first derivative of 49*s**2/2 + 7*s + 2. Does 7 divide y(1)?
True
Let h(o) = o**2 - 21*o + 27. Suppose 14 - 110 = -4*t. Is 25 a factor of h(t)?
False
Let u be -81 + -2*(-1)/(-2). Let i(a) = 5*a + 12. Let q be i(-11). Let r = q - u. Is r a multiple of 14?
False
Let n(h) = 2*h**2 + 2*h - 1. Suppose -8*y + 4*y = -24. Let q = -8 + y. Is n(q) a multiple of 2?
False
Let r = 60 - 107. Let s = 167 + r. Is 12 a factor of s?
True
Does 19 divide 1/(-2) + (-2548)/(-8)?
False
Suppose 0*l = -5*l. Suppose -5*q = l, 2*w + 0*q - q - 58 = 0. Is 6 a factor of w/3 - 2/(-6)?
False
Suppose -n = -6*n. Suppose n = 3*o - 7*o + 108. Suppose -38 - o = -5*r. Does 3 divide r?
False
Suppose -19*o = -54*o + 22750. Does 65 divide o?
True
Suppose -l - 3 + 4 = 0. Let z(c) be the second derivative of 4*c**5/5 - c**3/2 + c**2 + 53*c. Is 15 a factor of z(l)?
True
Let t = 68 + -65. Suppose j - 104 = 4*l, 0 = t*j + 5*l - l - 376. Does 9 divide j?
False
Let q = -27 - 18. Let o = 29 - q. Suppose 3*p - p = o. Does 15 divide p?
False
Let u(l) = -l + 360. Does 18 divide u(0)?
True
Let c = 1276 + -1133. Is c a multiple of 14?
False
Suppose -105*b + 47*b = -11020. Is b even?
True
Let z be 387/6*14/21. Let j = 13 + z. Is j a multiple of 8?
True
Let b be ((-22)/(-33))/((-2)/33). Does 6 divide b/2*-6 + 0/3?
False
Let b(c) = c + 204. Is 3 a factor of b(48)?
True
Let v be 89 + (-7)/(105/(-6))*5. Let r = 134 - v. Is r a multiple of 29?
False
Suppose -5*v - 120 = 3*v. Suppose 5*d = -5*p + 4*d + 128, 4*d = -p + 37. Let k = v + p. Is k a multiple of 2?
True
Let z be (-1016)/12 + 1/(-3). Let t = 55 + z. Let s = 21 - t. Is s a multiple of 10?
False
Let p = -227 - -375. Is p a multiple of 17?
False
Let b = -15 + 14. Let t(u) = -15*u**2 - u - 2. Let p be t(b). Let j = 27 + p. Is j a multiple of 8?
False
Let v(i) = -i**3 + 3*i**2 - 4. Let h be v(4). Let g = 1 - h. Is 5 a factor of g?
False
Let a(b) = 62*b**2 - 2*b. Does 8 divide a(-1)?
True
Let f(k) = 6*k**2 - 2*k - 4. Let d be f(-3). Suppose 4*s + w - d = -w, -3*s + 3*w = -42. Suppose -4*v + 126 = -s. Is 10 a factor of v?
False
Let f be (1 - 0)/(3 + -2). Does 14 divide (f*-1)/((-9)/126)?
True
Let b(i) = 2*i**3 + 3*i - 7. Let j be 8/3 - (-13)/39. Is b(j) a multiple of 28?
True
Let x = 119 + 247. Is 65 a factor of x?
False
Let j = -1257 + 1800. Does 48 divi
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{
"pile_set_name": "DM Mathematics"
}
|
+ 63. Suppose -k + 1 = 3. Which is the second smallest value? (a) f (b) k (c) w
c
Let p = -1.18 + 1.08. Let j = -69.3 + 61. Let n = j + 8. What is the second smallest value in p, n, -1/5?
-1/5
Let n = 0 - -0.4. Let u(s) = s**3 - 8*s**2 + 5*s + 10. Let w be u(7). Let z = w + 10/3. Which is the biggest value? (a) z (b) -0.1 (c) n
c
Let a = -0.19 - 4.81. Let j = -0.05 - 2.95. What is the third biggest value in j, 2, a?
a
Let n be 1198/(-920) + 0/4. Let p = 6/115 + n. What is the second biggest value in p, -0.2, -1?
-1
Suppose 3*t = 3*o + 9, -5*t + 2 = 3*o - 13. Let v = 4 - 17/4. What is the second smallest value in o, -1/3, v?
v
Let q = -2 - 2. Let k = q + 4.5. What is the smallest value in k, -5, 2?
-5
Let o = 15 - 14.89. Let v = 3.89 + o. Which is the second biggest value? (a) v (b) -2 (c) -2/5
c
Let t = 1343/3306 + -1/87. Let f = t - -2/19. Which is the third biggest value? (a) 2 (b) 0 (c) f
b
Let k = 25/2 - 12. Which is the third smallest value? (a) k (b) -5 (c) 0.1
a
Let m = -0.4 - -0.3. Let y be (-2)/9 + (-1806)/135. Let s = -738/55 - y. What is the third biggest value in m, s, 5?
m
Let l = -19 - -22. What is the biggest value in 1/2, l, 3/7?
l
Suppose -3*i = -0*i - 3. Let b = 0.03 - 0.33. What is the second smallest value in b, 4, i?
i
Let k = 5.05 + -0.05. Which is the second biggest value? (a) k (b) 0.2 (c) 0.1
b
Let v = 3/61 + 107/305. Suppose 3*i = -2*i - 10. What is the biggest value in i, v, -1?
v
Let s = -91 + 91.5. Which is the second smallest value? (a) 3 (b) s (c) 2
c
Let y be (0 - 48/63)*15/20. What is the biggest value in 0.4, y, -2, 1/8?
0.4
Let q = 12 + -17. Which is the second smallest value? (a) 6 (b) 5 (c) q
b
Suppose -5*n + 0*n = 0. Suppose n = 3*x + 4 + 5. Let q = 0.42 + 0.08. Which is the biggest value? (a) x (b) 0.2 (c) q
c
Let l = -11 + 8. Let i be (-1*(-1 + 2))/(-1). Let z be (-30)/(-21) - (i - 0). What is the third smallest value in l, z, 0.3?
z
Suppose 7 = 5*z - 4*z. Suppose -2*s = 3 - z. Let g be (-1)/(-2)*s/4. What is the third biggest value in g, 2, -1/5?
-1/5
Let p(g) = -14*g**3 + g**2 - 1. Let v be p(-1). Let j = v - 9. What is the smallest value in 0.5, -0.5, j?
-0.5
Let g(t) = 4*t + 28. Let r be g(-8). Which is the smallest value? (a) -5 (b) -2/5 (c) r
a
Let j = -0.06 + -5.94. Let r = 9 + j. Let x be (2/(-4))/((-1)/2). Which is the smallest value? (a) r (b) x (c) -0.3
c
Let u(d) = 2*d - 2. Let m be u(2). Suppose m*f + 10 = 7*f. Suppose -2*c = f*c - 4. What is the smallest value in -1, c, -0.4?
-1
Suppose j = -h - 2*j + 10, 2 = 2*h - 3*j. Let z be 1/3 - h/(-6). Let o be 8/22 - (-57)/418. What is the third biggest value in -1, z, o?
-1
Let f = 2.42 + -2.2. Let w = 0.08 + f. Suppose 5*x + 0*x - 13 = 2*c, 3*c = 5*x - 12. What is the second smallest value in c, 0, w?
w
Let q = 45 + -47. Which is the smallest value? (a) 4 (b) q (c) 0.1
b
Let h = 1 + -4. Let z = -14/75 - 12/25. Which is the third biggest value? (a) h (b) 2 (c) z
a
Let q = 0.3 - -1.7. Let z = -46 + 45.9. Let u = -0.04 + -0.36. Which is the third biggest value? (a) z (b) q (c) u
c
Let i(q) = -q + 15. Let o be i(12). Suppose -o*u + 1 - 3 = -p, 4*p + 5*u = -26. Which is the third smallest value? (a) -3 (b) 0 (c) p
b
Let i = -1063/15 + 71. Let y = 0.9 + 0.1. Let m = 1 - y. What is the third biggest value in i, 1/2, m?
m
Let m = 1.57 - 1.5. Which is the second biggest value? (a) -3/5 (b) m (c) -3
a
Let g = -7 - -6.9. Let o = 0.1 + g. Which is the third smallest value? (a) o (b) 5 (c) -0.2
b
Let x = 47 - 51. Let o = 8 + -6. Let g be o - (-1)/((-27)/60). What is the second smallest value in g, x, -5?
x
Let k = -20 + 30. Let h = -1 + 12. Let g = k - h. What is the biggest value in g, -4, 2?
2
Let k = 5 + -1. Let z(j) = j**3 - 4*j**2 - j + 2. Let p be z(k). What is the biggest value in -4, -0.4, p?
-0.4
Let v(i) = -i - 1. Let t be v(1). Let z(o) = -o**2 - 2*o. Let k be z(t). Let s = 7 + -15/2. Which is the second smallest value? (a) -1 (b) s (c) k
b
Let j be (8/(-14))/((-6)/21). Which is the third biggest value? (a) j (b) 1/4 (c) 0.5
b
Suppose -5*j + 8 + 2 = 0. Let r = -0.4 + 4.4. Let h = 2 + -2.2. Which is the biggest value? (a) j (b) h (c) r
c
Let w = -361/7 + 58. Let s = -6 + w. Let l = 7.1 + -7. Which is the third biggest value? (a) l (b) 0.2 (c) s
a
Let r = -3.82 + -0.18. What is the second smallest value in -0.4, -18, -2/7, r?
r
Let f be 105/(-126)*(-4)/(-15). What is the third biggest value in 0.3, f, -3/7?
-3/7
Let p = 0.02 - 0.52. Let u = -0.7 - p. Which is the third smallest value? (a) -1/4 (b) -5 (c) u
c
Let l = -23 + 22. Which is the smallest value? (a) -5 (b) 2/7 (c) l
a
Let s = -4.6 + 4.4. Which is the second biggest value? (a) 4 (b) s (c) -2
b
Let b = 0.32 - 21.32. Let m = b - -20.8. What is the second smallest value in m, 0.1, -2/3?
m
Let w be (2 - (-18)/(-10))*1. Which is the second smallest value? (a) -1 (b) -2 (c) w
a
Let a be (-1 - -7)*2/3. Let d be -2 + a/(-6)*-3. Suppose 4*g + d - 4 = 0. What is the biggest value in g, 5, -1?
5
Let h(i) = 2*i - 2. Let r be h(4). Suppose -5*s = -m + 19, m = 4*s + r*m - 8. Which is the third biggest value? (a) 2 (b) s (c) 0
b
Let s = 25/3 + -197/24. Let w = 4 - 6. Which is the second smallest value? (a) s (b) 0.5 (c) w
a
Let w = -1.2 + 1. Let t = 3.8 - w. What is the smallest value in 2, t, 0.1?
0.1
Let y be (-12)/(-90) - 17/15. Which is the smallest value? (a) y (b) 0.2 (c) 0.1
a
Let z = -0.16 - -0.66. Which is the second biggest value? (a) 0.1 (b) -4/7 (c) z
a
Suppose 2*s = -o + 9, 6*s = -2*o + s + 23. Let d be 1/(-4) + o/8. Which is the second smallest value? (a) 3/2 (b) d (c) -0.2
c
Let k = -2.06 + 0.06. Let j = -5 - k. What is the biggest value in 0.2, -0.3, j?
0.2
Let r be 0 + ((-1)/1)/(-2). Let n = 0.7 - 0.7. Let g = n + 4. Which is the third biggest value? (a) r (b) 2 (c) g
a
Let z = -3.8 - 1.2. Let y = 1.1 + -0.7. Which is the biggest value? (a) 3 (b) y (c) z
a
Let k = -13/6 + 29/12. Which is the smallest value? (a) 4 (b) k (c) 5
b
Let i = -164 + 163.6. Let d = 1 - 2. Which is the third smallest value? (a) -2/3 (b) d (c) i
c
Let p = 62 + -187/3. What is the third biggest value in -2, -0.2, p, 3/4?
p
Let o = -0.3 - -2.3. Let n = 3 - 5. Let m = -4.99 - 0.01. What is the third biggest value in m, o, n?
m
Let p = 0.04 + -3.04. What is the second smallest value in p, -1, 4?
-1
Let p = 10.3 + 0.7. Let i = 11.3 - p. Which is the smallest value? (a) i (b) -0.5 (c) 0.1
b
Suppose -4*u + 24 = 3*v + v, 2*v = -u + 10. Which is the second biggest value? (a) -1/8 (b) 5/2 (c) u
c
Let j be 1615861/44520 - 3/(-6). Let r = j + -1968/53. Let w = r + -4/105. Which is the second smallest value? (a) -1 (b) w (c) -3
a
Let h = -1227 - -2399/2. Let l = h - -28. Let k = -0.14 + 4.14. What is the third smallest value in k, -0.4, l?
k
Let k = 18 - 20. Which is the smallest value? (a) -3 (b) -0.3 (c) 2/3 (d) k
a
Let t = 57/424 + -1/106. Which is the second biggest value? (a) -2/13 (b) 4/5 (c) t (d) 4
b
Let z = -33 + 51. Let o be (-3)/6*z/15. Let t = -0.2 + 0.2. What is the third smallest value in o, 0.1, t?
0.1
Let y = -4 - 4. Let u = y + 11. Let f = 0.1 - 0. What is the biggest value in 5, f, u?
5
Suppose 5*l + 27 = -2*y, -5*y + 2*y - 51 = 4*l. Let t be 1*27/y + 1. Let b = -191 - -1333/7. What is the second biggest value in b, 2/5, t?
t
Let q = 0.23 + -0.43. Which is the fourth biggest value? (a) q (b) 2/3 (c) -1 (d) 2/7
c
Let y = 0.17 + 1.83. Which is the biggest value? (a) -2/3 (b) -0.2 (c) y
c
Let k(t) = 1 + 60*t + 1 + 6*t. Let r be k(3). Let n = r - 2202/11. Which is the smallest value? (a) n (b) 2 (c) 0.5
a
Let j = 0.24 + 0.06. Let r = j - 0.1. Let o = r + 0. Which is the third smallest value? (a) 0.3 (b) -0.1 (c) o
a
Let y = -0.1 - -0.3. Which is the third biggest value? (a) 2 (b) 0.4 (c) y
c
Let l = -103 + 147. Let m = 133/3 - l. Let y = -10 - -9. Which is the smallest value? (a) 4/5 (b) y (c) m
b
Let d(i) = 4 + 0*i + 1 - i. Let l be d(6). Let n be (-1 + 5/2)/(21/4). Which is the smallest value? (a) l (b) n (c) -4
c
Let z = 27 + -24. What is the second smallest value in -2, z, 1/7?
1/7
Let r = 2 + -2.5. Let u = -1.4 + 1. Let z = -18 + 122/7. What is the second smallest valu
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{
"pile_set_name": "DM Mathematics"
}
|
. List the prime factors of i.
3, 37
Let l be (12/(-10))/(3/50). Let q = 85 + l. What are the prime factors of q?
5, 13
Let y(o) = -12*o - 47. Let r(d) = -12*d - 46. Let x(b) = 3*r(b) - 2*y(b). List the prime factors of x(-14).
2, 31
Let r be ((-6)/(-33) + (-120)/176)*22. What are the prime factors of ((-44)/(-8))/r + 110/4?
3
Let v = 836 - 612. List the prime factors of v.
2, 7
Suppose 2*h - 35 = -3*h. Suppose h = -q + 24. Let z(l) = l**3 - 18*l**2 + 18*l - 11. What are the prime factors of z(q)?
2, 3
Let b(i) = -6*i + 26. Suppose 0 = -3*x + 2*h - 25, -h + 3 = -x - 4. What are the prime factors of b(x)?
2, 23
Suppose -i - 3*i = -8. Suppose -50 = -3*v + i*p, 2*p = -3*v - 37 + 107. Suppose 23*y - v*y = 102. List the prime factors of y.
2, 17
Suppose -3*a = -5*o + 10, a = 2*a. Let d(v) = 0*v**3 - 14 - 7*v**o - v**3 - 3*v + 7*v + 0*v**3. What are the prime factors of d(-8)?
2, 3
Let d = -21 - -17. Let b be (-8 - -22)/(d/(-2)). Suppose 0 = b*t - 218 + 64. List the prime factors of t.
2, 11
Let w(x) = -4*x + 228. What are the prime factors of w(9)?
2, 3
List the prime factors of -1*9 - (76 + -791).
2, 353
Suppose 3*y + 371 = z, -4*z + 155 + 109 = -2*y. List the prime factors of (-3)/(-6)*y*2/(-1).
2, 61
Suppose 5*u + 2*u = 168. Suppose 0 = -c + 22 + u. What are the prime factors of (c - (-1 + 0))*1?
47
Let j(i) = i**3 - 12*i**2 - 12*i - 10. Let b be j(13). What are the prime factors of (704/132)/((-1)/b + 1)?
2
List the prime factors of 45 + -2 + -3 - -5.
3, 5
Let a = 447 - 9. What are the prime factors of a?
2, 3, 73
Let j be (25/(-5))/(0 - 1). Suppose -j*w + 24 = -2*w. Let m = 12 - w. List the prime factors of m.
2
Let n = -10541 + 15332. What are the prime factors of n?
3, 1597
Suppose 5*a - 4426 = -0*a - k, -4*k + 889 = a. What are the prime factors of a?
3, 5, 59
Suppose 14*n - 5*n = 1872. List the prime factors of n.
2, 13
Suppose 4*l - 29 = -5*m, 4 = 4*l - 0. List the prime factors of 18/m*75/6.
3, 5
Suppose 3*l + 99 = p, 0*p + 2*l + 210 = 2*p. Suppose 0 = 6*i - 0*i - p. What are the prime factors of i?
2, 3
Let v = -1121 + 3761. What are the prime factors of v?
2, 3, 5, 11
Let a(p) be the first derivative of -p**3/3 - 21*p**2/2 - 21*p + 12. What are the prime factors of a(-14)?
7, 11
Let g = 3 + 8. Suppose g*o - 6*o - 15 = 0. List the prime factors of o.
3
Let s(o) = 48*o - 55. What are the prime factors of s(9)?
13, 29
Suppose 3248 = -9*z + 13*z + i, 4 = -i. What are the prime factors of z?
3, 271
Suppose 0 = -5*h + 2*n + 2647, 7*n + 2112 = 4*h + 11*n. List the prime factors of h.
23
Let g be (-4)/(-18) + 21/27. Let f be 1 - ((-6)/2)/g. Suppose 78 = 4*h - 3*b, 2*b = -f*h + 6*b + 80. What are the prime factors of h?
2, 3
Suppose -4*r + 5 = -11. Suppose 0 = 3*s - 2*z - 238, 0*s + 5*z - 348 = -r*s. Let j = s + -23. What are the prime factors of j?
59
Suppose -4*j = 12, c - 4*c + 5*j + 795 = 0. Suppose -5*x + c = 4*u - x, -2*u - 3*x = -135. List the prime factors of u.
2, 3, 5
Let s = 0 - -4. Suppose -s*z + 372 = -i, -3*z - 2*i + 279 = -i. What are the prime factors of z?
3, 31
Let p = -727 + 1499. List the prime factors of p.
2, 193
Let b(u) = -7*u - 10. Let a(z) = -z**3 - 7*z**2 + 11*z + 16. Let n be a(-8). What are the prime factors of b(n)?
2, 23
Suppose -a = -4*k - 5*a + 32, -2*k + 4*a = 14. Suppose r + 3*r - 369 = -5*q, -87 = -r - k*q. What are the prime factors of r?
2, 3
What are the prime factors of (1 - 0) + -2319*1/(-3)?
2, 3, 43
Suppose 2576 = -39*x + 55*x. List the prime factors of x.
7, 23
Let n(h) = -h + 12. Let u be (-672)/63 - (-1)/(-3). Let s be n(u). List the prime factors of (4 - 10)/((-2)/s).
3, 23
Let q(r) = 60 + 4*r + 7*r + r**2 - 2*r**2 - 8*r. List the prime factors of q(0).
2, 3, 5
Let a(n) = n**3 - 17*n**2 + 13*n + 7. Let u be a(16). Let o = u - -52. What are the prime factors of o?
11
Let j = -23 - -26. Suppose -147 = -j*h - 0*h. List the prime factors of h.
7
Let j(n) = 8*n**2 + 7*n - 14. Let r be j(-7). Suppose 3*l - r = -5*x, l + 133 = 2*l - 3*x. What are the prime factors of l?
2, 59
Let t be (-4)/(4*-2)*4. Suppose -4*j = -2 - t, 5*i + 4*j - 19 = 0. What are the prime factors of (-6 - -12)/(i - 1)?
3
Let v(n) be the third derivative of -n**6/120 + n**5/60 - n**4/8 - n**3/6 - 5*n**2. Let d = 4 - 6. What are the prime factors of v(d)?
17
Let p be 3 + -79 + 1/((-2)/(-8)). List the prime factors of 16/p + 1/((-18)/(-886)).
7
Let d be 1/(-3)*(-72)/6. Suppose 2*q + 2 = d*p, q + 6 = 5*p - 4. Suppose -2*a - 84 = -6*a + 3*k, -q*a + k + 105 = 0. What are the prime factors of a?
3, 7
Let l(v) = -5*v**3 + 15*v**2 - 8*v + 1. Let d(p) = -14*p**3 + 44*p**2 - 23*p + 3. Let g(n) = 6*d(n) - 17*l(n). List the prime factors of g(-8).
3
Let y be 1 + -3 - (-311 - (0 + 4)). Suppose -5*t = 93 - y. What are the prime factors of t?
2, 11
Let u be (2 - -4) + (5 - 3). Suppose 2*t - 6 = 4*g, -4*t = 3*g - u - 4. What are the prime factors of t?
3
Let f = -152 + 178. Let h = f + 264. List the prime factors of h.
2, 5, 29
Let j(g) = 27*g + 1. Let v be j(1). Suppose -4*o + v = 2*b, -3*o + 12 = -6*o. What are the prime factors of b?
2, 11
Let m(u) be the first derivative of u**2 + 34*u + 3. List the prime factors of m(-11).
2, 3
Suppose 0 = i + 2*u - 2 - 9, -3*u = 2*i - 17. List the prime factors of ((-720)/(-28) - i) + 4/14.
5
Let z(l) = l**3 - 2*l**2 - l + 569. What are the prime factors of z(0)?
569
Let s be ((-90)/7)/(-5) - 3/(-7). Suppose -s*n + 80 = 2*n. What are the prime factors of n?
2
Let q(l) = l**2 - 1. Let f(z) = 2*z**2 + 4. Let b(w) = -f(w) + q(w). Let s be b(0). Let o = s + 13. List the prime factors of o.
2
Suppose -418 = -r + 3*y + 396, -4118 = -5*r + 3*y. What are the prime factors of r?
2, 7, 59
Let w(k) = k**2 - 10*k + 19. Let s be w(8). Suppose -2*b - s*m + 195 = 2*m, 315 = 3*b + 3*m. List the prime factors of b.
2, 5, 11
Let g(r) = r**2 - 10*r + 14. Let q be g(6). Let t be ((-12)/10)/(q/50). Suppose t*x = 55 + 137. List the prime factors of x.
2
Let w(c) = -5*c**3 + 0*c + 5*c**2 + 4*c**3 - 4*c + 2. Let r be w(4). Suppose 3*t + r*g - 30 = 0, 0 = 2*g + 2*g. List the prime factors of t.
2, 5
Let n(q) = 5*q**2 - 7*q. Let o be n(6). Suppose 4*t = -o + 330. Suppose -3*b = -b - t. List the prime factors of b.
2, 3
Suppose -5*m = -0*m + 20. What are the prime factors of (-156)/m + -1 + -1?
37
Suppose -10*d = -9*d - 1. Let u = d - -15. What are the prime factors of u?
2
Suppose 0 = -26*f + 6*f + 59700. List the prime factors of f.
3, 5, 199
Let w(l) = -25*l**2 + 2*l - 2. Let y be w(1). Let d = y - -124. What are the prime factors of d?
3, 11
Let f = -813 + 1681. List the prime factors of f.
2, 7, 31
Let c = 9894 - 5506. What are the prime factors of c?
2, 1097
Let z(r) be the third derivative of r**5/60 + 7*r**4/24 + 7*r**3/6 - 4*r**2. Let k be z(-7). Let b(v) = v**3 - 8*v**2 + 9*v + 4. List the prime factors of b(k).
2, 3
Suppose -21*p + 14*p - 1036 = 0. Let k = 258 + p. List the prime factors of k.
2, 5, 11
Let r(o) = 6*o**3 + 5*o + 9 - 4 - 8*o**3 - 3*o**2. Let m be r(-4). Suppose 5*k - m = 5*n, 0 = k + 3*n + 2*n - 37. List the prime factors of k.
17
List the prime factors of 9 + 0 - (-5160 - 8).
31, 167
Suppose -20*p + 1232 = -13*p. List the prime factors of p.
2, 11
Suppose -4*h = h - 20. Suppose 0 = h*k - 19 - 13. Let s = -3 + k. What are the prime factors of s?
5
Suppose 7*w = -0*w + 49. Let s(z) = 30*z - 26. What are the prime factors of s(w)?
2, 23
Let p be 4/14 - 390/(-7). Let a(y) = y**2 + 4*y - 3. Let f be a(1). List the prime factors of p + f*9/6.
59
Let k be 6/(((-5)/8)/(-5)). Let h = k + -13. What are the prime factors of h?
5, 7
Let a be 6*3/(-6) - -4. Let c = a - -8. Suppose -4*z - 24 = -c*z - v, z - v = 0. What are the prime factors of z?
2
Let t be (-1 - 0)/((-1)/(-9)). Let v be ((-148)/6)/(2/t). Suppose -9 = -5*c + v. What are the prime factors of c?
2, 3
What are the prime factors of 5 + -8 - -8 - -458?
463
Suppose 0 = -5*r + 10*r - 2*x - 1442, 3*r - 859 = -5*x. List the prime factors of r.
2, 3
Let x = -38 + 43. Suppose -x*c + 4*v = -8, 2*c + 5*v - 17 = 2*v. What are the prime factors of c?
2
Let j(p) = 8*p**2 + 2*p - 19. List the prime factors of j(-6).
257
Let i = -193 + 879. List the prime factors of i.
2, 7
Let j = -819 - -1177. What are the prime factors of j?
2, 179
Let t = -47 + 49. Suppose 0 = -t*x +
|
{
"pile_set_name": "DM Mathematics"
}
|
).
7
Let o(g) be the third derivative of -g**4/12 + g**3/2 + 20*g**2. Suppose -b - 2*b - 2 = 5*y, y - 18 = 4*b. Determine o(y).
-1
Let l(f) = -f**3 + 2*f**2 + 2*f - 3. Let j be 2/(-1)*(-3)/2. Let o be l(j). Let c(r) = -r + 4. Let m(q) = -2*q + 5. Let g(u) = o*c(u) + 5*m(u). Determine g(1).
-3
Let w(r) = 6*r**2 + r - 1. Let f = -7 - -13. Let b = f - 9. Let v = -2 - b. Calculate w(v).
6
Let j = 15 + -18. Let y(x) = 2*x. Give y(j).
-6
Let b(n) be the third derivative of 0*n**3 + 0 - 1/24*n**5 + 0*n + 1/12*n**4 + 1/720*n**6 + n**2. Let g(v) be the second derivative of b(v). Determine g(4).
-1
Let o be 4*(-2)/(16/(-12)). Let a(s) = -s + 8. What is a(o)?
2
Let l(n) = 3*n**2 - 5 - 4*n**2 + 0*n**2 + 1 + 8*n. Give l(8).
-4
Let y = 7 + -4. Let b(r) be the first derivative of -r**2 + r - 195. What is b(y)?
-5
Let u(s) be the first derivative of -s**4/4 + 5*s**3/3 + 7*s - 9. Calculate u(5).
7
Let b(z) = z - 4. Let h be b(-3). Let g(r) = 2*r - 2. Calculate g(h).
-16
Let l(a) = -2*a - 2. Suppose -t = -w + 1, 2*w + 30 + 3 = -5*t. Determine l(t).
8
Let v(n) = 0*n**3 - n - 3*n**3 + 2 + 4*n**3 + 0*n. Let b(w) = 1 + 3*w**3 - 6*w**3 + 3*w - 7. Let i(l) = 6*b(l) + 17*v(l). Give i(-2).
4
Let y(o) = o**2 + 7*o - 11. Let m be y(-8). Let n be 1 - (m + (4 - 0)). Let x(z) = z**3 - z**2 - 4. Calculate x(n).
-4
Let a(u) be the second derivative of -2*u + 1/2*u**2 + 0 + 7/6*u**3. Give a(-1).
-6
Suppose -t + 4*t - 4*g + 93 = 0, 0 = 5*g - 15. Let y = t + 28. Let o(i) = -5*i - 1. Calculate o(y).
-6
Let z be (2 + -2 - 1)*2. Let l be z/(-6)*-1*3. Let w(s) = -s - 4. Let q(f) = -4*f - 11. Let j(n) = -3*q(n) + 8*w(n). What is j(l)?
-3
Suppose 2*a + 12 = 4*a. Let o(y) = y**3 - 9*y**2 - y + 3. Let t(c) = -c**3 + 10*c**2 + 2*c - 4. Let u(k) = a*o(k) + 5*t(k). Determine u(3).
1
Let a = -2 + -2. Let z(k) = -k**3 - 3*k**2 + k - 4. Determine z(a).
8
Let p = 9 - 1. Let n(j) = -5 - 2 + 5 - 7*j**2 + p*j + 8. Let c(f) = f**2 - f - 1. Let y(r) = -6*c(r) - n(r). Determine y(4).
8
Let m(z) be the second derivative of z**7/840 - z**6/180 - z**5/120 + z**3/2 + 2*z. Let b(f) be the second derivative of m(f). Calculate b(-1).
-2
Let w(y) = -10*y**2 - y + 1. Let x(t) = -t**3 + 17*t**2 + 17*t + 19. Let r be x(18). What is w(r)?
-10
Suppose 5*n - 4 = -4*i - 12, i - 4*n - 19 = 0. Let o(y) be the second derivative of -y**4/12 + y**3/3 - 3*y**2/2 - y. What is o(i)?
-6
Let w(y) = -3*y**2 + 3*y. Let n be 5/(2 + 4/8). What is w(n)?
-6
Let n(q) = -26*q**3 + 9*q**2 - 7*q. Let j(c) = -13*c**3 + 4*c**2 - 3*c. Let h(f) = -5*j(f) + 2*n(f). Determine h(1).
12
Let r = -1 + 5. Let j(o) be the first derivative of -2/3*o**3 + 3*o**2 - o + 1. Calculate j(r).
-9
Suppose -4*x - 3*m = -0*x - 4, 4*x - 24 = 2*m. Let w(g) = 2*g**3 - x*g**2 - g**3 - g + 0*g - 1 - 6*g. What is w(5)?
-11
Let p(g) = -2*g**2 + g. Suppose 2*z + 5*a = -z - 26, 0 = 2*z - 3*a + 11. Let r(x) = x + 9. Let k be r(z). Suppose -m = -0 - k. Calculate p(m).
-6
Let o(s) be the second derivative of -3/2*s**2 - 2*s - 1/3*s**3 + 0. Calculate o(-4).
5
Let c(a) = -a**3 + a**2 + 1. Let n(f) = f + 6*f - 8*f**2 - f**3 + 4*f**3 + 16 - 14. Let w(h) = 4*c(h) + n(h). Give w(-5).
-4
Let o(n) = n**3 + 5*n**2 + 3*n - 2. Let s be o(-4). Let h(v) = -2*v + v**2 - 5*v - 5*v**s + 2 + 2*v**2. Calculate h(-5).
-13
Suppose -2*h = 54 - 6. Let g = 22 + h. Let z(f) = -2*f**2 + f + 1. Give z(g).
-9
Let p(a) = -a + 3*a - a + 4*a. What is p(-1)?
-5
Let h(i) be the second derivative of 1/12*i**4 - 5/6*i**3 + 3/2*i**2 + 0 - i. Let m = -3 - -6. What is h(m)?
-3
Let r = -4 - -8. Let i be (-12 + r)*(-2)/(-4). Let p(d) = d**2 + 6*d + 6. What is p(i)?
-2
Suppose 4*t - 2 = 2*x, x + t = -0 - 4. Let k(j) = -j - 6. Let l(m) = -5*m - 25. Let q(w) = 9*k(w) - 2*l(w). Determine q(x).
-7
Let b(j) be the second derivative of 2/3*j**3 + 1/2*j**2 + 0 + 1/12*j**4 - 3*j. What is b(-5)?
6
Let r(b) = b - 1. Suppose 3*p = -p. Calculate r(p).
-1
Let d(q) = 2*q**2 - 5*q - 4. Let c be d(3). Let a(r) = 2*r - 1. What is a(c)?
-3
Let m = 6 - 0. Let v(d) be the third derivative of d**5/60 - 7*d**4/24 + 7*d**3/6 - 23*d**2. What is v(m)?
1
Suppose -6*q - 4*k = -q - 26, 0 = -3*q + 2*k + 20. Let g(b) = -2*b**3 - 6*b**2 + 6*b**2 - 4 + q*b**2 + 3*b**3. Give g(-6).
-4
Let x(l) be the second derivative of l**4/2 - l**2 + 6*l. Calculate x(-2).
22
Let c(f) be the third derivative of f**7/1260 - f**6/720 + f**5/15 - f**2. Let k(s) be the third derivative of c(s). Give k(1).
3
Let c(t) = t**2 - t + 1. Let b(l) = 7*l**2 - 5*l + 4. Let g(f) = -b(f) + 6*c(f). Suppose -12 = -u - 3*u. Suppose u*p + 8 = p. Calculate g(p).
-10
Let s(m) = 2*m**2 + m - 1. Suppose 6 = 3*u - 0*p + 5*p, 0 = 5*u - p - 10. Calculate s(u).
9
Let w(x) = -x**3 - x**2 + x. Suppose -q - 5*n - 24 = 0, q - 6*q - 3*n = 32. Let f be (-6)/q*2 + -1. Give w(f).
-10
Let t(b) be the third derivative of -b**8/2240 + b**7/2520 - b**6/720 + b**5/20 + 4*b**2. Let k(p) be the third derivative of t(p). What is k(1)?
-8
Let z = 0 - -1. Let w be 0 + (28/2)/(-2). Let a(q) = 3*q**2 - 3*q + 3. Let i(g) = -2*g**2 + 2*g - 2. Let t(j) = w*i(j) - 5*a(j). Give t(z).
-1
Let w(y) = -y**3 + 9*y**2 - 10*y + 10. Let h be w(8). Let c be h/(-4) + 4/8. Let t(i) = 0*i - 3*i**c + 0*i + 2 + i + i**2. Give t(2).
-4
Suppose -j - k - 4 = 0, 3*j + 4*k + 16 = 6*j. Let z(n) be the third derivative of -n**5/60 + n**3 - 5*n**2. Determine z(j).
6
Let y(w) be the second derivative of 2*w + 0 + 7/6*w**3 - 1/12*w**4 - 4*w**2. What is y(6)?
-2
Let h(q) = 4*q + 49. Let f be h(-12). Let p(y) = -14*y - 1. Give p(f).
-15
Let f(r) be the third derivative of -r**4/8 + 2*r**3/3 - 13*r**2. Determine f(3).
-5
Let q(m) be the first derivative of -1 + 1/2*m**2 + 2*m + 1/2*m**4 - 4/3*m**3. Determine q(2).
4
Let m be 6/4*(-30)/(-9). Let g(x) = x**2 + x - 6. Let c be g(m). Suppose -5*q = 25, -y = -2*y + 5*q + c. Let v(d) = d - 1. Give v(y).
-2
Let d(j) be the second derivative of j**6/60 + j**5/20 + j**2 + 6*j. Let c(o) be the first derivative of d(o). Give c(-2).
-4
Let h(r) be the first derivative of r**4/4 + 5*r**3/3 + 5*r**2/2 + 4*r + 3. Let o = -12 - -8. Calculate h(o).
0
Let t(x) = -x + 9. Let c be t(7). Let d(n) = 2*n**c + 1 - 3*n**2 + 6*n + 3. Suppose -3*w = -7*b + 2*b, 19 = 5*w - 2*b. What is d(w)?
9
Suppose -4*z + 10 = 2. Suppose 0 = -f + z*a - 5, f + 2*f + 4*a = 25. Let w(u) = u - 3. Determine w(f).
0
Suppose 3*n + 3 = -6. Let w be (2 - n)*-1*1. Let u(y) = 3*y + 5. Give u(w).
-10
Let t = 3 + -7. Let h(i) = 4*i + 5. Let j(s) = s + 1. Let g(r) = h(r) - j(r). Calculate g(t).
-8
Suppose -4*y - 20 = 0, 2*y + 17 = -5*v - 23. Let t(n) = n**3 + 6*n**2 - 3. Determine t(v).
-3
Let t = 6 - -10. Suppose 0*g - t = -4*g. Let v(f) = 7*f - 2*f + g + f**2 + f. Give v(-4).
-4
Let g(r) = -r**3 + 6*r**2 - 6*r + 4. Let t be g(4). Let x be (-1)/(-3)*(-1 - -10). Suppose -4*v = -4*h + 12, x*v + v = -t. Let u(s) = s + 4. Give u(h).
4
Let w(r) = 16 - 4*r**2 + 14*r**2 + 12*r + 2*r**2 + r**3. Let n be w(-11). Let c(x) = -x**2 + 6*x + 4. Calculate c(n).
9
Let y(k) = k**2 + 3*k - 3. Let r = 15 - 13. Suppose -4*n + 5*i = -9, -2*i = r*n + n + 22. Determine y(n).
1
Let m = -2 + 6. Let h(j) = j**3 - 4*j**2 - 3*j. Let v(f) = -1. Let z(p) = h(p) - 5*v(p). Give z(m).
-7
Let i(o) = -o - 8. Suppose 2*m + 24 = -m. Let b = m - -2. Calculate i(b).
-2
Let j(h) be the second derivative of -h**3/6 + 4*h**2 + 6*h. Calculate j(7).
1
Let a(l) be the first derivative of 1 + l - 1/2*l**2. Let p(q) = -q - 1. Let i be p(4). Give a(i).
6
Let a(t) be the third derivative of t**4/24 - t**3/3 + 21*t**2. What is a(-5)?
-7
Suppose 0 = u + 4 - 2, 6 = 5*r + 2*u. Let q(v) = v**3 + v**r - 29*v + 32*v + v**2. Give q(-2).
-6
Suppose 8*m - 27 = -11. Suppose 2*x = -x + 9. Let u(z) = -2 - 2*z**3 + z**3 - z + x*z**2 + 0*z**3. Calculate u(m).
0
Let b(w) = 3*w + 15. Let c(x) = x + 7. Let g(h) = -6*b(h) + 13*c(h). Determine g(-2).
11
Let x(q) be the first derivative of q**4/4 - 5*q**3/3 - 4*q**2 + 4*q - 6. Determine x(6).
-8
Let u(s) = -3*s - 18. Let y(g) = -g - 6. Let w(h) = 6*u(h) - 17*y(h). Let c be w(-7). Let b(l) be the first derivative of -l**4/4 - l**3/3 + 1. Calculate b(c).
-2
Let p(a) = 7*a**3 - 13*a - 7. Let j(z) = 6*z**3 + z**2 - 12*z - 7. Let w(u) = -6*j(u) + 5*p(u). Give w(-7).
7
Suppose -x = 2*g + 2*x - 2, 0 = 2*g + x + 2. Let b(o) = 4*o**2 + 3*o + 3. What is b(g)?
|
{
"pile_set_name": "DM Mathematics"
}
|
7 divide v?
False
Let u be (-22)/(-187) - (-925)/85. Does 27 divide (u/(-33))/(3/9)*-262?
False
Let a = -4883 + 6676. Is 45 a factor of a?
False
Let b be (-2)/((-4)/12*3). Suppose r + r - b = 0. Is 3 a factor of 2/(r - (-5)/(-15))?
True
Let a(u) = 4*u + 22. Let o be a(0). Is 9 a factor of 2*5/20*o*15?
False
Let i = -978 + 2038. Suppose a - 41 = -5*n + 1735, -3*n = 2*a - i. Is 53 a factor of n?
False
Suppose 13*w - 48 = 381. Suppose -4*n + 47 + 17 = -o, -n - 4*o + w = 0. Let b = n - -3. Is b a multiple of 4?
True
Let b = 1208 - -618. Does 16 divide b?
False
Let i(z) be the first derivative of z**4/4 + 10*z**3/3 - 4*z**2 - 10*z - 4. Let j = -222 - -212. Is 14 a factor of i(j)?
True
Suppose -3*r - 12 = d, 5*d + 10 = 352*r - 357*r. Suppose 0 = -5*c + 5*m + 396 + 234, -630 = -5*c + 2*m. Is 2 a factor of 20/d + -7*(-6)/c?
False
Let f be (-403 + 9)*-2*(-3)/(-6). Let n = f - 212. Is n a multiple of 14?
True
Let l = 17590 - 9791. Does 91 divide l?
False
Let y = -1398 - -4385. Is 29 a factor of y?
True
Suppose q + 2*u = 3091 + 1350, 4*u + 22219 = 5*q. Is q a multiple of 37?
False
Let v(g) = 2*g + 1. Let u be v(2). Suppose -j = 5*z - 10, u*z = z + 3*j + 27. Suppose -5*n + 350 = z*q, -2*q + 3*q = 4*n + 145. Is q a multiple of 19?
False
Let p(n) = -3*n**3 - 11*n**2 + 6. Let q be p(-3). Let y(c) = c**3 + 13*c**2 + 11*c - 11. Let x be y(q). Is 26 a factor of 8 - (x - (-12)/4) - -126?
True
Let i = 180 + -173. Suppose -2776 + 235 = -i*d. Is 11 a factor of d?
True
Let o(v) = 10*v**2 + 4*v - 2. Let i be -6*(-4)/36*-18. Let q = -14 - i. Is 6 a factor of o(q)?
True
Is (17 - 16)/((-3)/(-31413)) a multiple of 72?
False
Is 10 - (-58284)/45 - (-12)/15 a multiple of 12?
False
Let g = 261 - 258. Suppose 4*m = p - 9, p + g*p + 5*m - 99 = 0. Is p a multiple of 3?
True
Suppose -8*p + 9873 = -17455. Is 7 a factor of p?
True
Suppose -6*b = 3 + 3. Let t be -10*(3 + (b - -1 - 4)). Suppose -6*q = -t*q + 372. Is 31 a factor of q?
True
Let s(g) = 32*g + 15*g - 1 - 35*g + 4*g**2. Suppose -t + 4*z = -11 - 4, 0 = 4*t - z + 15. Is 13 a factor of s(t)?
True
Let s be ((-6)/4 - -1)*(-11 - -1). Suppose 2992 = s*g + 2*w, 16 + 0 = -4*w. Is g a multiple of 20?
True
Let w be 72/198 - (-51)/11. Suppose -5*j + 8*j - 1197 = -w*u, -1 = j. Is 60 a factor of u?
True
Let a be (-4)/(-6)*(29 + 1). Suppose 0 = -a*q + 19*q - 6. Is 35 a factor of ((-34)/q)/(2/72)?
False
Suppose 2*v + 43*x - 4482 = 42*x, 2259 = v + 5*x. Let l = -1327 + v. Is 16 a factor of l?
True
Suppose -4*x - 2*j - 28 = 0, -9*j + 5*j - 21 = x. Does 10 divide 6/42*2*x*-21?
True
Let z = 25 + -22. Suppose 0 = -3*y + z*g - 294, -y + 2*g + 110 = -2*y. Is (4 + 48/(-9))*y/4 a multiple of 5?
False
Let h be (1 - -2 - 4)*(-4 - 0). Let s(b) = 130*b - 44. Is 9 a factor of s(h)?
False
Let m(d) be the third derivative of d**4 - d**3/2 - 9*d**2 + 12*d. Suppose 3*u + u = 12. Is 23 a factor of m(u)?
True
Suppose 66785 + 35138 = 4*u - 5*i, -25480 = -u + 2*i. Is 28 a factor of u?
False
Suppose -73 + 107 = 2*s. Let m = 23 - s. Is 3 a factor of (-5)/((-10)/m) - -28?
False
Let a be 7 + (-7 - -7) + 1*-2. Suppose -a*r + 318 = -4*v, -5*r - 2*v + 72 = -4*r. Does 9 divide (19/2 - 8) + r/4?
True
Let o = 33 + -31. Suppose 3*t - 6*f + 123 = -o*f, -f = -2*t - 82. Let b = t - -53. Is b a multiple of 3?
True
Let s = -95 + 98. Suppose s*h - 335 = -5*j, -9*h + 5*j + 625 = -4*h. Is h a multiple of 16?
False
Let o(a) = 271*a + 2101. Is 15 a factor of o(-4)?
False
Suppose 6*s + 3*j - 1763 = s, -5*s = 5*j - 1755. Suppose -5*g - s = -90. Let w = g - -117. Is 32 a factor of w?
True
Let n(v) = -v**2 + 25*v - 6. Suppose 2*q = i + 2*i - 49, -2*q = 4*i - 42. Is 6 a factor of n(i)?
True
Let s(z) = -2*z + 18. Let o be s(7). Suppose -o*g + 3*u = -25, 2*g + 0*u = -5*u - 7. Is 15 a factor of (g + 320/25)*(-25)/(-2)?
True
Suppose 8*w - 38125 - 1001 = 2*w. Is w a multiple of 3?
False
Let i(b) = b**3 - 6*b**2 + 7*b - 14. Let m be i(6). Let w(k) = -9*k**2 + k - 1. Let g be w(1). Let t = g + m. Is 13 a factor of t?
False
Let j = -61 - -64. Suppose -u - 5*r + 66 = u, 4*u + j*r = 104. Is 7 a factor of u?
False
Suppose 4*w = 5*f - 1416, -2*w = -15*f + 20*f - 1392. Does 5 divide f?
True
Let w(t) = -t**2 + 7*t + 7. Let h be w(6). Suppose -9 = 16*b - 19*b. Suppose -4*i = -12, -32 = -b*y - i + h. Is 14 a factor of y?
True
Is (-14 + 97)/(-7*36/64 - -4) a multiple of 37?
False
Suppose 2*t = 3*a + 1110, 2*t - 4*a = 611 + 497. Is 18 a factor of t?
True
Is -2*(1 - 3) - 5944/(-4) a multiple of 14?
False
Let b be 1012/10 + 56/70. Suppose b*s - 104*s = -34. Does 10 divide s?
False
Is 26 a factor of ((-22)/3 + 8)/(22/202125)?
False
Let j be (-5)/2 - (-438)/(-12). Is (-14948)/(-12) + (-13)/j a multiple of 45?
False
Let r(a) = -65*a - 230. Let h(d) = -2*d - 107. Let j be h(-47). Does 12 divide r(j)?
False
Let h(b) = 2*b**2 - 3*b + 3. Suppose -5*c + 3*c = 6. Does 10 divide h(c)?
True
Suppose -84*p = 59337 - 385761. Does 58 divide p?
True
Suppose -10*p + 17*p = 8*p + 5*p. Let t(n) = -n**2 - n. Let f(d) = 2*d**2 + 4*d - 47. Let u(k) = -f(k) - 4*t(k). Does 17 divide u(p)?
False
Let k be 15/(45/(-2)) - (-16)/6. Suppose -5*p + k = -q - 2, p - 5 = 0. Is 2 a factor of q?
False
Let r be (8/(-10) + 4 + -4)*-30. Let o = -28 + r. Let p = 1 - o. Does 2 divide p?
False
Suppose 5*j - 13 = 3*z - 0, 1 = -z + j. Let f(v) = -8*v + z*v - v**3 + 14*v - v + 11 - 8*v**2. Is 13 a factor of f(-10)?
False
Let g = 471 + 7836. Let c = g - 5711. Suppose 0 = 4*f + 7*f - c. Is f a multiple of 21?
False
Is 6 a factor of 435/(-25)*(-220)/11?
True
Let m(l) = -l**2 - 12*l + 32. Let c be 83/3 - (-1)/(-6)*4. Suppose -3*n + c = 66. Is m(n) a multiple of 2?
False
Suppose 140 = 9*u - 5*u. Suppose -9 = -d - u. Let w = d + 116. Is w a multiple of 45?
True
Let j = -525 + 528. Does 33 divide (j/(-5))/(56/(-10920))?
False
Is 40 a factor of (-2 - 12336/(-7)) + 158/(-553)?
True
Let q = 1219 + -863. Suppose -3*m - 182 = -j - 2*m, -2*m = 2*j - q. Is 27 a factor of j?
False
Let c(y) = y**2 - 4*y - 2. Let d be c(4). Let l(q) = -741*q**2 + 3 - 743*q**2 - 1 - q**3 + 1483*q**2. Is l(d) a multiple of 6?
True
Let f be 0 + 3 + 0 + 2. Suppose 0 = -h - f*z + 8, 2*h - 4*z - 51 = -7*z. Suppose 2*b + 0*b - 5*k = h, 0 = 3*b + 3*k - 60. Does 17 divide b?
False
Let m(b) be the third derivative of -29*b**4/8 + 3*b**3 + b**2 - 2. Is 33 a factor of m(-5)?
False
Let v(a) = 4*a**2 - 12*a - 2. Let y(t) = 2*t + 14. Let g be y(-10). Is 27 a factor of v(g)?
False
Let d = -40 + 172. Suppose -2*r + 4*o = 94, -3*r - 4*o + o - d = 0. Let h = 15 - r. Does 10 divide h?
True
Let u be (4/(-6))/(15/((-2025)/30)). Suppose -u*f - f = -3200. Is 5 a factor of f?
True
Let f = 73 - 61. Is -1 - f/(-2) - -355 a multiple of 30?
True
Let d be (-2)/4 - (-3 + (-2964)/8). Suppose 14*w - d = 131. Does 12 divide w?
True
Does 69 divide (-1382670)/(-378) + (-30)/35?
True
Let x(l) = 21*l + 48. Let u be x(-2). Is 88 a factor of 1074 + 90/u + -7?
False
Let u = 358 - 104. Let b = 282 - u. Is 18 a factor of b?
False
Does 7 divide (2/(-4))/(40/(-30)) - (-2114383)/472?
True
Let d(s) = -4*s - 21. Let g be d(-6). Suppose -m - g*p = -436, -5*m + p + 872 = -3*m. Does 8 divide m?
False
Let i = 1520 + -1011. Let f be 7 + -9 + 1/(3/1998). Suppose 0 = -5*p + 3*z + f, 4*p = 2*z - 7*z + i. Is 32 a factor of p?
False
Suppose 3*b = 5*b + 12. Let i be (2 - (-44)/b)/(12/108). Is (i/(-5))/(19/190) a multiple of 12?
True
Suppose 7*o - 409 = 893. Let k = o + -163. Is 11 a factor of k?
False
Let k(q) = -5*q**3 - q**2 + 36*q - 11. Is 19 a factor of k(-6)?
True
Let i(y) = 157*y + 9. Let l be i(5). Suppose 9*h - l = 1942. Is 18 a factor of h?
False
Let h = 439 - 441. Let s(z) = -99*z + 49. Is 13 a factor of s(h)?
True
Suppose 4*t + 6 - 2 = 0, -t = -i + 3. Does 29 divide (i - (-2 - 2)) + 23?
True
Let u(i) = 3*i**2 + 16*i + 18. Let z be u(9). Let r = 863 - z. Is r a multiple of 20?
False
Is (-1)/(5 - (-216)/(-42)) - -975 a multiple of 10?
False
Let h = -3496 + 8835. Is 92 a factor of h?
False
Is 159 a factor of (102*1/(-2))/(13/(-1183))?
False
Suppose 30 = -5*q - 5*a, -q + 4*q - a + 6 = 0. Let l(r) = 24*r**2 + 11*r + 39. Does 7 divide l(q)?
False
Suppose -66*x + 6*x - 62*x + 1001742 = 0. Is x a multiple of 51?
True
Let p = 536 - 536. Suppose -2*s + 3*y + 1764 + 1005 = p, -y = -s + 1387. Is 12 a factor of s?
True
Suppose 5*o + 4*
|
{
"pile_set_name": "DM Mathematics"
}
|
alculate the remainder when 158 is divided by z(0).
52
Let q = 274 + 411. Suppose -2*w - 5*x = -q, 5*w - 1047 = 2*w - x. What is the remainder when w is divided by 27?
26
Let w(m) = 9562*m - 4821. Calculate the remainder when w(3) is divided by 204.
201
Let c = 199 + -194. Suppose -4*o = 5*s - 231 - 108, -5*s + c*o + 375 = 0. What is the remainder when s is divided by 38?
33
Suppose 3*f = 5*i + 5*f - 3564, 2*i - 4*f - 1440 = 0. Calculate the remainder when i is divided by 236.
6
Let s = -241 + -21. Let r = 337 + s. What is the remainder when 298 is divided by r?
73
Let n = -428 + 511. Calculate the remainder when 0/((-20)/(-5)) + n is divided by 43.
40
Let a be 9/(-6)*(-3 - 246/18). Calculate the remainder when 10/(a/20 + -1) is divided by 86/5 - 2/10.
6
Suppose 5*y + 5*o = -15, 4*y + 2*o + o = -8. What is the remainder when 368/(-12)*3/(-2) is divided by (12 - 6) + 1/y?
4
Let f = -180 + 132. Calculate the remainder when 87 is divided by (-7)/(42/f) + 2.
7
Let z(l) = -l**2 - 105*l - 1388. Let w(a) = -a**3 - 2*a**2 - a + 1. Calculate the remainder when z(-89) is divided by w(-2).
0
Let s = 745 - 503. Suppose -2*k - 1170 = -5*v - 0*v, v - 2*k = s. Calculate the remainder when v is divided by 18.
16
Suppose 28 = 8*c - 348. Let q = c - 45. Calculate the remainder when 8 is divided by q.
0
Let y be (-4)/6 + (-4 - (-161)/21). Calculate the remainder when -1 + 62 + (-12 + 3)/y is divided by (-1)/(0 + (-3)/60).
18
Let m(x) = x + 6. Let d be m(0). Suppose 3*f = f - d, 0 = -3*u - 3*f + 45. Suppose -4*r + 51 - 7 = 0. Calculate the remainder when u is divided by r.
7
Suppose -f - 2*f = -315. Let u be 3 + 2/(-2*3/3). Suppose -n - 2*n = -4*k - 128, -u*n = -k - 77. What is the remainder when f is divided by n?
33
Calculate the remainder when 83 is divided by (1544/(-26))/(-4) - (-126)/819.
8
Let i(t) = -3*t + 14. Let k be i(8). Let q = -8 - k. Suppose -38 - 33 = -q*u - 5*d, 169 = 5*u + 4*d. What is the remainder when u is divided by 9?
6
Let k be 19215/36 - 5/(-20). Let b = -458 + k. What is the remainder when b is divided by 24?
4
Suppose 423*d - 287*d = -370*d + 143704. What is the remainder when d is divided by 19?
18
Let m = -13384 - -13857. What is the remainder when m is divided by 25?
23
Suppose 0 = 271*k - 266*k + 3*c - 4880, 5*c + 1952 = 2*k. Calculate the remainder when k is divided by 89.
86
Let h = -483 - -149. Calculate the remainder when 6/(-8) + h/(-8) + -2 is divided by 8.
7
Suppose 0 = -55*n - 1208 + 11493. Suppose -11*s = -n - 704. What is the remainder when 157 is divided by s?
76
Let b = 6311 + -6136. Calculate the remainder when b is divided by 86.
3
Let o be 1/3 - (105/(-9) - -9). Suppose 10*m - 91 = o*m. Calculate the remainder when 36 is divided by m.
10
Let y(o) = o**3 - 20*o**2 - 20*o - 19. Let q be y(21). Let g(c) = 5*c**2 + 5*c - 2. Calculate the remainder when g(q) is divided by 5.
3
Let u(c) = -2*c. What is the remainder when u(-6) is divided by ((-16)/(-6))/(-16*26/(-1560))?
2
Let g = -37093 - -37128. What is the remainder when 6433 is divided by g?
28
Let w be (-375)/20*(-40)/6. Suppose 3*y - 39 = -c, 5*c - 7*y + 8*y - w = 0. What is the remainder when 45 is divided by c?
21
Suppose 223 = 3*l - x + 3*x, -3*x = -2*l + 166. Suppose -77 = 4*k - 25. What is the remainder when l is divided by (-5)/(((-39)/(-12))/k)?
17
Let j(z) = 5*z - 41. Suppose 11*p - 8 - 91 = 0. Let a be j(p). Suppose 1 - 7 = -m - 2*g, -a*g = -3*m + 38. What is the remainder when 69 is divided by m?
9
What is the remainder when 6800/7 - 2/((-17)/2 - -5) is divided by 19?
3
Let x be (7/(-7 - -14))/((-3)/(-24)). Suppose -3936 = -24*o - x*o. Calculate the remainder when o is divided by 42.
39
Let j(y) = -4*y**3 + 40*y**2 + 323*y - 46. What is the remainder when j(-7) is divided by 12?
5
Let f = 329 - 312. Let m = 448 + -60. Suppose -3*k - k + m = 4*j, -2*j + 4*k + 212 = 0. Calculate the remainder when j is divided by f.
15
Let n(y) = 31*y**2 + 1486*y - 86. What is the remainder when 56 is divided by n(-48)?
6
Let b = -22635 - -22660. What is the remainder when 4070 is divided by b?
20
Suppose -515648 = 1395*x - 1427*x. What is the remainder when x is divided by 237?
235
Let g(x) be the second derivative of -4*x + x**3 + 0 + 2*x**2 - 1/6*x**4. What is the remainder when 4 is divided by g(3)?
0
Suppose 4*l = -13*h + 8*h + 2646, 2*h = 3*l + 1040. Suppose 3*n - h = n. What is the remainder when n is divided by 22?
21
Calculate the remainder when 0 + 79 + 1 + -2 is divided by (34/(-102)*(-6)/(-5))/((-15)/750).
18
Suppose 4*w - w - 167 = -2*a, -w - a = -57. Let k(s) = 65 - 2*s**2 - w - 40*s - 39. Calculate the remainder when 39 is divided by k(-19).
6
Let m(k) = 2*k**2 + 3*k - 3. Suppose 5*n = -2*n + 11*n - 884. Calculate the remainder when n is divided by m(-5).
29
Let r = 189 + -230. Calculate the remainder when 105 is divided by (-35)/((-63)/(-9)) - 1*r.
33
What is the remainder when 4/(-14) + (-36284490)/(-1386) is divided by 9?
7
Let s(v) = 298*v**3 + 4*v**2 + 7*v + 3. Let c be s(-1). Let i = c - -357. What is the remainder when i is divided by 33?
26
What is the remainder when 2031 is divided by 8*196/544 + 4/34?
0
Suppose 137*x = 3126 + 8108. Calculate the remainder when x is divided by 68.
14
Let n(s) = -s**3 - s**2 + 2*s + 11. Let v be n(0). Suppose v*x - 15*x - 16 = 0. Calculate the remainder when 44 - (39/15 - x/10) is divided by 15.
11
Let w = -78 + 81. Suppose 61 = w*p + i, 5*i - 3*i + 49 = 3*p. What is the remainder when 71 is divided by p?
14
Suppose 2*l = 4*z + 54, 0 = 27*z - 31*z + 8. What is the remainder when 2320 is divided by l?
26
Suppose -2*t = -o - 316 - 302, -630 = -2*t - 2*o. Calculate the remainder when t is divided by 303.
8
Suppose -3837 = -18*a + 357. Let k = -228 + a. What is the remainder when 18 is divided by k?
3
Let o = -30775 - -30952. What is the remainder when o is divided by ((-23)/(-3))/(2/12)?
39
Let w(u) = u**3 - 18*u**2 + 25*u - 3. Let r be w(18). Calculate the remainder when (-1)/(-7) - r/(-7) is divided by 35.
29
Let h be (-2)/5*(8 - (17 + 1)). Suppose -h*p - 5*a = 31, 5*p + 5 = -0*p + 5*a. Calculate the remainder when 133 is divided by 4 + (-2)/p*(-52)/(-2).
14
Let g = 37 - 45. Calculate the remainder when 3 + 14/(-4)*-16 is divided by ((-3)/12)/(-1) - 94/g.
11
Let d(o) = -2*o**3 + 2*o**2 + 2. Suppose -5*r = -3*r - 4. Let p be d(r). What is the remainder when (-4)/p - (-507)/9 is divided by 5?
2
Let n = 75 - 110. Let d = n - -25. Calculate the remainder when 19 is divided by (-141)/(-15) + (-6)/d.
9
Let b be 12*(-3)/(-9) - 21. Let p(n) = -6*n - 88. What is the remainder when 38 is divided by p(b)?
10
Let o = 185 - -816. What is the remainder when o is divided by 22?
11
Let g = -110386 + 110409. Let s = 155 - 67. Calculate the remainder when s is divided by g.
19
Let j be (-6)/4*4/(-3). Calculate the remainder when (-143)/22*(j + -4) is divided by 2.
1
Let t(w) = w + 2*w + 53 + 27 - 13. What is the remainder when 53 is divided by t(-20)?
4
Let n = 2125 - 2070. Suppose -j - j = r + 4, -16 = 2*j + 4*r. Suppose j = 3*c - 46 - 38. What is the remainder when n is divided by c?
27
Suppose -6*c - 264 = -2*c. Let g be ((-143)/(-33) + 5)*-3. Let f = g - c. Calculate the remainder when f is divided by 21.
17
What is the remainder when 268 is divided by (5/((-30)/8))/((-144)/2700)?
18
Calculate the remainder when (55 - 64) + (-2994)/(-4)*2 is divided by 136.
128
Suppose -8483514 = -528*c + 3305670. What is the remainder when c is divided by 154?
152
Let y = 1116 + -467. Let r = y + -585. Calculate the remainder when r is divided by 19.
7
Suppose 0 = -14*b + 11*b + 6. Let n be b/((-22)/24 - 3/(-12)). Let t(o) = -5*o**3 - 2*o**2 - 10. What is the remainder when t(n) is divided by 27?
26
Suppose -3*x = 79 - 91, -3443 = -5*q - 2*x. What is the remainder when q is divided by 46?
43
Let o(k) = -2*k**2 + 21*k + 20. Let q(y) be the second derivative of -2*y**3/3 - 9*y**2/2 + 4*y. What is the remainder when q(-11) is divided by o(11)?
8
Calculate the remainder when (((-2070)/(-150))/(-23))/((-2)/1070) is divided by (-4)/6 - (-394)/6.
61
Let a(h) = -h**3 - h**2 + 24*h + 167. Calculate the remainder when a(0) is divided by 6.
5
Suppose 27*f - 52*f - 55 = -30*f. What is the remainder when 2924 is divided by f?
9
Suppose 541 = -3*y + 4*y. Suppo
|
{
"pile_set_name": "DM Mathematics"
}
|
+ -306. What is the closest to 0.1 in 5, w, 0.2?
0.2
Let x = 0.568 + 0.242. Let r = x + -1.11. What is the closest to -2 in 13, r, -4?
r
Let s = 86 + -85.652. Let n = -0.1172 + 0.0692. Let g = n + s. What is the nearest to 1 in -2, -0.3, g?
g
Let m = -11.7 - -14.7. Let g = 24.9 - 24.6. Let j be (-6)/9 + (1 - 0). Which is the closest to -2/3? (a) j (b) g (c) m
b
Let t = 964 + -963.8. Let v = -5 - -7. Let y = -1.5 - -1.4. Which is the nearest to v? (a) -2/7 (b) t (c) y
b
Let s = -16490 - -16461. Which is the closest to -0.1? (a) -4 (b) s (c) -6 (d) 1/5
d
Let i(o) = -2*o**2 - 7*o - 14. Let j be i(-5). Let y = j - -29. Let h = 603/11 + -55. What is the nearest to y in -0.1, -3, h?
-0.1
Let t(u) = -u**3 - 22*u**2 + 76*u + 27. Let k be t(-25). Let q be k/(-7)*11/(-11). Which is the closest to 0.1? (a) q (b) -5 (c) 0 (d) -2/7
c
Let o = -0.0517 + 0.0917. Which is the nearest to -1? (a) 0.2 (b) o (c) -4/7 (d) -8
c
Let i be (-30)/675*(10 + (-232)/16). Let k = -24/5 - -91/20. What is the closest to k in i, -3, 0?
0
Let w = -0.2 + 0.1. Let k = -348 - -375.8. Let j = k - 28.8. What is the nearest to w in 2/13, -5, j?
2/13
Let l = -63811 + 63811. Suppose -2 = k - 1. Which is the closest to -1? (a) k (b) l (c) 0.01
a
Let p = -0.2 + -32.6. Let m = 32.4 + p. What is the nearest to 2 in 18, m, 3/5, -2?
3/5
Suppose 4*f + 1 = -5*o, -6*f + 3*f = 4*o. Suppose 0 = -m + 5*w, m - 9 = -7*w + o*w. Suppose 0 = -1338*u + 1334*u - 20. What is the nearest to 2/3 in 0.5, u, m?
0.5
Let r = -1.6261 - 59.8739. What is the nearest to r in 0, -0.2, 0.1?
-0.2
Let x = -38 + 56. Let w = 15 - x. Let m = -12.2 - -12. Which is the nearest to 0.1? (a) w (b) 0.08 (c) m
b
Let f = -5 - -2. Let l = -154.725 - 0.275. Let t = l + 158. What is the nearest to 1 in 1, t, f?
1
Let w(y) = y**2 + 42*y + 80. Let j be w(-31). Let z = j + 256. Which is the nearest to -6? (a) -2 (b) 0.4 (c) z
c
Let l = 3080.6 + -3081. Which is the nearest to -2/5? (a) 5 (b) l (c) -2/37 (d) 2/13
b
Let z = -2001 + 773. Let d = 1239 + z. Let l = -3.5 + -0.5. What is the closest to -1/2 in d, 2/5, l?
2/5
Let m = 18 - 13. Let a = 2.39311 + -2.56311. What is the nearest to a in 3, m, -9?
3
Let m = -2156 - -2159. What is the closest to m in -0.2, -0.07, -1?
-0.07
Let h = -1.7475 + 2.7475. Which is the closest to h? (a) -2/5 (b) -5 (c) 5 (d) -1/4
d
Let j = 291.2 - 302.2. What is the closest to 1 in j, 2, 6?
2
Let x = 249649 + -249652. Let w = -0.76 + 0.7. Which is the nearest to 2/7? (a) w (b) -1 (c) x
a
Let h = -0.041 + 34.641. Let k = h + -34.3. Let l = -2/885 - -2683/12390. Which is the nearest to 2/3? (a) 4 (b) k (c) l
b
Let l = -66.9 + 66.8. Let w = -16/5 + 53/15. What is the closest to l in -3, -2, w?
w
Let i = 0.2 - -16.8. Let g = -2.263798 - -0.263798. Which is the nearest to i? (a) -0.2 (b) -1/2 (c) g (d) 2/11
d
Let y(d) be the third derivative of -d**4/4 - 15*d**3/2 - 129*d**2. Let h be y(-8). Let n = -8/13 - -50/39. Which is the nearest to h? (a) n (b) -3 (c) 5
c
Let p = 22.35 + -22.95. Let k = -3.84 + -0.16. What is the closest to -0.1 in p, 2/11, k?
2/11
Let m = 69200.7 + -69201. Let f = 3/4 - 5/4. What is the closest to f in 0.19, -5, m?
m
Let f be 8/2 + (6 + -4)*-2. Let i = -15/454 + -503/12258. Which is the closest to i? (a) f (b) 4 (c) 3 (d) 1
a
Let g = -283 - 269. Let i = 552.4 + g. What is the closest to i in -0.5, 5, 7/4?
-0.5
Let i = -0.25 + 4.25. Let j = 26 - i. Let s = j - 21.9. What is the closest to s in 0.3, 2/7, -2?
2/7
Let n = -65.8 - -67.8. Suppose z = -4*z - 50. Let r = 21/2 + z. What is the nearest to 0 in r, 6, n?
r
Let g = 25570 - 281888/11. Let v = 56 + g. Which is the closest to v? (a) 3/2 (b) -1/4 (c) 4
b
Let u = 17 - 12. Let l = 2500 - 2501.986. Let z = 0.986 + l. Which is the closest to -2? (a) u (b) z (c) 4
b
Let m = 41.57 + -41.77. Which is the closest to 0.1? (a) -2/9 (b) -5 (c) 1/3 (d) m
c
Let t(y) = -2*y**2 - 4*y + 2. Let p be t(3). Let u be (-4)/(-14) + 22/p. Let z = -16.65 - -12.65. Which is the closest to u? (a) 2/9 (b) z (c) -0.5
c
Let j be (-2 + (-84)/(-49))*-1. Which is the nearest to 1? (a) j (b) -24 (c) -10
a
Let n = 195 - 195.36. Let x = n - -0.66. What is the closest to x in -0.2, -0.4, 0.4?
0.4
Let z = 1053 + -1052.5. Which is the nearest to 2/3? (a) z (b) 4 (c) 496
a
Let p = 434 - 392. Let q be p/(-70)*10/4. What is the closest to q in -2, 5, 1?
-2
Let q = 5515.13 - 5590. Let j = 75 + q. Let x = j - -0.87. Which is the closest to 1/3? (a) -1 (b) x (c) -15
b
Let k = 26.89 + -27. Let y = k + -0.31. Let i = y - -0.32. Which is the nearest to i? (a) -5 (b) 17 (c) -1
c
Let g = -0.05 + -1.75. Suppose 0 = s - 2*d + 15, -4*s - 137*d = -136*d - 12. What is the nearest to s in -3, g, 1, -1/3?
1
Let j = -2 - -1. Let n = -19995 - -19994.8. What is the nearest to 2 in -5, n, j?
n
Let m = 0.4 + -0.2. Let c = -639 - -673.3. Let j = -34.6 + c. What is the closest to 9/2 in m, -2/5, j?
m
Suppose -15 = -5*g, -g - 26 = 5*x - 3*g. Let r = -1982/5 + 1984/5. Which is the nearest to 3/2? (a) r (b) x (c) -1/6 (d) 0.3
a
Let h = -573 - -572.5. Let g = 351 + -320. Which is the closest to -0.3? (a) 0.1 (b) h (c) g
b
Let k be (10 - (-816)/(-80))*(0 + 3). What is the nearest to -2 in -5, k, -2?
-2
Let y = 0.9 - -0.1. Let d = 193 - 191.85. Let v = d - 1.45. What is the closest to y in v, 1/4, -2/13?
1/4
Let i = 221.426 + -0.426. Let y = i - 222. What is the closest to 2/3 in y, 1/5, 6?
1/5
Let k = 334 - 1001/3. Let f = -140.9 - -141. Which is the closest to k? (a) 0 (b) f (c) 5 (d) 2/7
d
Let c = 215/1122 + -1/102. Let i = 22 - 21.82. Let j = 15 + -12. What is the closest to -1/4 in c, j, i?
i
Let l = -16937/753986 + -93/20378. Let u = 7 - 25/4. Which is the closest to 0.1? (a) u (b) 4 (c) l
c
Let p = -0.8 + -0.2. Let o = 8.9576 - -0.0424. What is the closest to p in -1, -2, o?
-1
Let g = -0.07 + -0.03. Let a = -0.7 - 2.72. Let p = a - -2.42. What is the nearest to p in -6, g, 0.4?
g
Suppose 109*p - 113*p + 40 = 0. Suppose -13 = p*v - 3. Let i be (-6)/(-15)*(-6)/(-4). Which is the nearest to -1? (a) i (b) 2 (c) v
c
Let k = 8 - 12. Let c = 17.356 - 0.356. Let d = 20 - c. What is the closest to 0.1 in d, -0.04, k?
-0.04
Let t = -1.49 + 13.29. Let l = 16 - t. Let f = 4.7 - l. What is the nearest to 0 in 1, f, 5?
f
Let l = -500 - -313. Let n = 184 + l. Which is the nearest to 6/7? (a) 1 (b) 0 (c) n
a
Let r be (-22)/(-18) + 4/(-18). Let s = -189571 - -189598. What is the closest to s in 0, r, 2?
2
Let w be (0 - -1)/((-156)/51 + 3). Let b = 0.0392 + -0.0392. What is the nearest to b in 0.5, w, -1/5?
-1/5
Suppose -2*x - 30 = -36. Suppose 3*k = 4*y + 122 + 37, -123 = 3*y - x*k. Let h = y - -37. What is the closest to 0.1 in 0.4, 0.5, h?
0.4
Let u be 3*4/36 - 1210/(-15). Let c be ((-27)/u)/(8/6). What is the nearest to -2 in -5, -3/8, c?
-3/8
Let n = 0.8 + -0.44. Let u = n + -1.36. What is the closest to 2 in u, 1/7, -4/9?
1/7
Let h(j) = -j**2 - 7113*j - 21332. Let r be h(-3). Let k = -0.5 - 2.5. Which is the nearest to -0.1? (a) k (b) r (c) 3 (d) 4
b
Let r = -6 + 10. Suppose -16 = 94*y - 78*y. Let a be y/2 - (-27)/162. What is the nearest to a in -0.07, r, -2?
-0.07
Let x = -196 + 195.9. Let f be (-5 + 2)/(-3) - (-22)/(-20). Which is the closest to x? (a) f (b) 5 (c) -4 (d) -27/4
a
Let n = 94 - 58.3. Let c = n + -35. Let p = c - 3.7. What is the nearest to p in -0.4, -4, 0.3?
-4
Let t = 5692.9 + -5693. What is the closest to -2.51 in t, -1/3, -0.2?
-1/3
Let r = 0.1 - -0.1. Let l = 70045 + -70045.06. Which is the closest to -1? (a) 4 (b) r (c) l
c
Suppose -3*q + 8*l = 11*l + 483, q + 179 = -4*l. Which is the closest to 0? (a) 0 (b) q (c) -7
a
Let z = 0.02 - -0.98. Let p = 0.94197 + -0.44197. What is the closest to -1/3 in z, -0.2, p, 0.4?
-0.2
Let y = 5 - 9. Let r = 367 + -5129/14. Let l = -87/70 + r. What is the closest to 8 in y, l, 0?
0
Let m = -0.3 + 0.2. Let p = 0.5 + m. Let w = -28973 - -28970. Which is the nearest to -0.13? (a) -2 (b) w (c) p
c
Let u = -83.4 + -1.6. Let l = -93.5 - u. Let v = l - -10.5. Which is the nearest to 2/19? (a) 5 (b) -5 (c) v
c
Let f = -0.2 + 0.5. Let j = -5.7627 - 0.2373. Which is the closest to f? (a) j (b) -3/2 (c) 1
c
Let q = -2 - 1. Let m be q/(-20) + 2
|
{
"pile_set_name": "DM Mathematics"
}
|
-i - 7 = -8*i. Calculate i*v(q) + 3*h(q).
q**3
Let k(p) = -20*p**3 + 17*p**2 + 23*p + 14. Let q(w) = w**3 - 18*w**2 - 17. Let j be q(18). Let v(n) = -7*n**3 + 6*n**2 + 8*n + 5. Give j*v(b) + 6*k(b).
-b**3 + 2*b - 1
Suppose -4*q = 20, -q + 5 = 4*u - 6. Let v(a) = -a**2 - 4*a - 4. Let i(c) = -3*c - 3. Calculate u*i(r) - 3*v(r).
3*r**2
Let t = 7 - 12. Let s = -1 - t. Let k(z) = 3*z - 2. Suppose 0 = 2*l + l + 15. Let x(a) = 4*a - 2. Calculate l*k(o) + s*x(o).
o + 2
Let b(d) = 13*d**3 + 3*d**2 + 4*d + 3. Let r(a) = -12*a**3 - 4*a**2 - 5*a - 4. Give -4*b(h) - 3*r(h).
-16*h**3 - h
Let q(i) = -4*i + 1. Let j(w) = 13*w - 2. What is 4*j(k) + 14*q(k)?
-4*k + 6
Suppose 125*b - 20 = 129*b. Let i(k) = k. Let y(x) = 5*x + 1. Let d(o) = -11*i(o) + 2*y(o). Let p(c) = c - 1. What is b*p(f) - 3*d(f)?
-2*f - 1
Let h(a) = -8*a + 1. Let z be h(-1). Let l(y) = y - z*y**2 + 9 + y**3 + 0*y**3 - y. Let k(j) = 2*j**3 - 22*j**2 + 22. Determine 5*k(m) - 12*l(m).
-2*m**3 - 2*m**2 + 2
Let w(o) = -7*o - 4. Let d(n) = -6*n - 4. Give -4*d(x) + 3*w(x).
3*x + 4
Let g(k) = -7*k - k**3 - k**3 - 5*k**2 + 0*k + 5. Let p(a) = -2*a**3 - 4*a**2 - 6*a + 4. Let q(c) = -c**2 + 16*c + 5. Let n be q(16). Give n*p(d) - 4*g(d).
-2*d**3 - 2*d
Let c(v) = -12*v - 11. Let d(f) = -6*f - 6. Give -6*c(h) + 11*d(h).
6*h
Suppose -g + 20 = 3*l, -4*l = -3*g - 16 - 2. Let m(a) = -7*a**2 + 7*a + 4. Let i(t) = t**2 - t - 1. Give l*i(w) + m(w).
-w**2 + w - 2
Let u = -16 - -10. Let b(k) = -13*k - 7. Let q(d) = -14*d - 7. Let v(y) = -5*b(y) + 4*q(y). Let i(t) = -5*t - 4. Calculate u*v(j) - 11*i(j).
j + 2
Let l(c) be the third derivative of -c**4/6 - 7*c**3/6 - 3*c**2. Let y(q) = 0*q + 3*q + 1 - 2*q. Calculate l(p) + 6*y(p).
2*p - 1
Let i(r) = -2*r**2 + 4*r + 6. Let s(y) = y**2 - y - 1. Let m be (-2)/(((-1)/3 + 0)*6). Calculate m*i(u) + 4*s(u).
2*u**2 + 2
Suppose 4*h - 10 = 2*i, 11 = -2*i + 2*h + 3*h. Let r(n) = 2*n + 5. Let v(m) = 3*m + 9. What is i*v(f) + 5*r(f)?
f - 2
Let x(j) = -9*j + 5. Let l(o) = 0*o - 3 - 4*o + 5. Suppose -2*w + w = -5. Calculate w*l(p) - 2*x(p).
-2*p
Let j(z) = -z**2 + 3*z + 4. Let s(i) = 2*i**2 - 5*i - 7. Let c = -104 - -107. Give c*s(m) + 5*j(m).
m**2 - 1
Let d(c) = 4*c - 3. Let w(l) = 63*l - 48. Let k(u) = 42*u - 32. Let v be ((-3)/(-2))/((-3)/(-10)). Let r(h) = v*w(h) - 8*k(h). Calculate -11*d(m) - 2*r(m).
-2*m + 1
Let c(o) = 4*o**2 - o - 2. Let i be 3 + 3 + -1*8. Let k(s) = 9*s**2 - 3*s - 5. Give i*k(p) + 5*c(p).
2*p**2 + p
Let d(a) = -a - 1. Let x(y) = 2*y**2 - 2*y - 3. Calculate 3*d(u) - x(u).
-2*u**2 - u
Let f(u) = 16*u + 4. Let b(n) = -4*n - 1. Calculate 9*b(w) + 2*f(w).
-4*w - 1
Suppose -5*r - 6 = -16. Let k(g) = 10*g**3 - 9*g**2 - 9*g + 9. Let p(v) = -v**3 + v**2 + v - 1. Let h(d) = 19*d - 1. Let n be h(1). Determine n*p(o) + r*k(o).
2*o**3
Let p(c) = -c**2 + 2*c - 3. Let n(z) = z**2 - z + 2. Give -5*n(t) - 3*p(t).
-2*t**2 - t - 1
Let c(z) = 1 + 2 - 1 - z**2. Let h(b) = -2*b**2 - b + 5. Give 5*c(o) - 2*h(o).
-o**2 + 2*o
Let z(r) = -15*r**2. Let a(h) = -8*h**2 - 5*h**2 + 10*h**2. Determine 11*a(x) - 2*z(x).
-3*x**2
Let m(u) = -16*u + 4. Let c(y) = -5*y + 1. What is 7*c(w) - 2*m(w)?
-3*w - 1
Let w(p) = -p**3 + 4*p**2 - 2*p. Let c(r) = 5*r**3 - 17*r**2 + 9*r + 1. Determine 2*c(a) + 9*w(a).
a**3 + 2*a**2 + 2
Let n(i) = 2. Let k(g) = 2*g + 25. What is -k(b) + 5*n(b)?
-2*b - 15
Let b(a) = -a**2 - 3*a + 1. Let y(u) = -u**2 - 2*u + 1. Give -3*b(s) + 5*y(s).
-2*s**2 - s + 2
Let i(r) = 2*r**3 - 2*r - 2. Let o(g) = g**3 - 2*g - 1. Suppose 3*s + 2 = -7. Let v be 3 + s*2/(-6). What is v*o(z) - 3*i(z)?
-2*z**3 - 2*z + 2
Suppose 5*m - 2*a + 30 = -7*a, -2 = 2*a. Let f(n) = 22*n**2 - 16*n - 16. Let j(o) = -7*o**2 + 5*o + 5. Determine m*f(t) - 16*j(t).
2*t**2
Let m be (-77)/44 + 5/(-4). Let r(w) = -w**3 + w**2 + 3*w. Let n(a) = 3*a**3 - 2*a**2 - 8*a. What is m*n(i) - 8*r(i)?
-i**3 - 2*i**2
Let r(m) = -15*m**3 - 13*m**2 - m - 17. Let a(i) = 7*i**3 + 6*i**2 + i + 8. Determine -13*a(b) - 6*r(b).
-b**3 - 7*b - 2
Let f(c) = 3*c + 2. Let o(j) = -4*j - 3. Let w(r) = -3*f(r) - 2*o(r). Let d(y) = 2*y - 1. Determine -3*d(m) - 4*w(m).
-2*m + 3
Let m(a) = -a + 1. Let i = -118 + 122. Let f(q) be the second derivative of 0 - 1/2*q**2 + 1/6*q**i - 2*q + 1/6*q**3. Calculate -f(d) - m(d).
-2*d**2
Let c(k) = k. Let u(p) = -6*p + 4. Give -3*c(o) - u(o).
3*o - 4
Let d(x) = -x - 4. Let p(z) = -7 - 2*z + 5 - 18 - 2*z. Give -14*d(b) + 3*p(b).
2*b - 4
Let m(q) = 11*q + 5. Let v(i) = -5*i - 5. Let y(x) = x - 1. Let a(j) = -v(j) + 2*y(j). What is 8*a(p) - 5*m(p)?
p - 1
Let r(f) = f + 1. Let a(v) be the second derivative of v**3/6 + 13*v. Give a(p) - 2*r(p).
-p - 2
Let v be ((-22)/(-8))/(4/(-16)). Let c be 2/v + 2/11. Suppose c*t + 1 = t. Let h(i) = -i + 1. Let w(z) = 2*z - 2. What is t*w(m) + 4*h(m)?
-2*m + 2
Let w(r) = -7*r**2 - 9. Let s(u) = -1. Determine -18*s(f) + 2*w(f).
-14*f**2
Let n(x) = x**2 + 3*x - 4. Let b be n(3). Let u(l) = l**2 - b*l - 4*l**2 + 2*l**2 + 13*l. Let k(y) = 2*y**2 + 5*y + 1. Give -k(r) - 3*u(r).
r**2 - 2*r - 1
Suppose 0*j - 6 = 2*j + 4*w, j = -5*w. Let n(o) = -8*o**3 + 5*o - 5. Let k(l) = -l**3 + l - 1. Calculate j*k(b) + n(b).
-3*b**3
Suppose -4*i + 0*z - 5*z - 9 = 0, 3*z = i - 19. Suppose 3*f = i*f - 1. Let u(n) = 2 - f - n + 0. Let k(p) = p**2 - 5*p + 1. What is -k(h) + 3*u(h)?
-h**2 + 2*h + 2
Suppose 3*s = 5*i - 26 + 8, -5*i - 5*s = -50. Let h(u) = 2*u + 11. Let g(o) = -4*o - 23. Let b(c) = i*g(c) + 13*h(c). Let j(f) = 2*f + 4. Give -4*b(n) + 5*j(n).
2*n
Let s(a) = -3. Let r(b) = b + 10. Let m(u) = 2*u - 49. Let t be m(21). Calculate t*s(z) - 2*r(z).
-2*z + 1
Let x(d) = -1. Let n(c) be the second derivative of -3*c**5/20 - c**4/12 - 5*c**2/2 + 3*c. Calculate n(a) - 5*x(a).
-3*a**3 - a**2
Let l(g) = g**3 - g**2 + 1. Let x(o) = 13*o**3 - 6*o**2 + 4. Determine -4*l(b) + x(b).
9*b**3 - 2*b**2
Let n(b) = 3*b**3 + b**2 + 6*b + 6. Suppose -j = -108 + 103. Let f(w) = 2*w**3 + w**2 + 5*w + 5. Determine j*n(l) - 6*f(l).
3*l**3 - l**2
Let w be 6/10 + (-12)/20. Suppose w = -5*s + 4*s + 5. Let p(a) = a + 3. Let k(g) = 1. Give s*k(c) - p(c).
-c + 2
Let r(z) = -210*z + 85. Let d(j) = -5*j + 2. Determine 255*d(q) - 6*r(q).
-15*q
Let o(m) = -5*m**3 + 8*m**2 + 7*m + 5. Let d(v) = 4*v**3 - 7*v**2 - 6*v - 4. Determine -6*d(t) - 5*o(t).
t**3 + 2*t**2 + t - 1
Let v(p) = -989*p**3 + 115*p + 115. Let h(t) = 26*t**3 - 3*t - 3. Determine -115*h(l) - 3*v(l).
-23*l**3
Let x(t) = 6*t**2 - 5*t + 7. Suppose -2*q + 3*i + 2*i = 2, -5*q - 40 = 5*i. Let u(z) = 2 + 7*z**2 - 11*z + 6 + 5*z. Calculate q*x(d) + 5*u(d).
-d**2 - 2
Let j(d) = d + 2. Let k = 28 + -23. Let b(i) = 2*i**2 - 11*i + 2. Let v be b(k). Let u(z) = 1. What is v*u(a) + j(a)?
a - 1
Let n(x) = 3*x**2 - 6*x. Let c(m) = -m - 12. Let p be c(-11). Let i(a) = 8*a + a - 8*a - 2*a. Give p*n(f) + 5*i(f).
-3*f**2 + f
Let t(k) = -13*k**3 - 11*k**2 - 15*k + 9. Let h(i) = -7*i**3 - 6*i**2 - 8*i + 5. Calculate 11*h(g) - 6*t(g).
g**3 + 2*g + 1
Let x(f) = 3*f**3 + 5*f**2 - 6*f + 1. Let s(m) = -4*m**3 - 6*m**2 + 7*m - 1. Suppose 188 = 2*t + 16. Let p be t/18 - 16/(-72). Give p*s(j) + 6*x(j).
-2*j**3 - j + 1
Let o(f) = 16*f**2 - f + 1. Let x(y) = 15*y**2 - y + 1. What is -4*o(n) + 3*x(n)?
-19*n**2 + n - 1
Let q(p) = 2*p + 4. Let v(u) = -4*u - 8. Give -9*q(l) - 4*v(l).
-2*l - 4
Suppose -4*a + 315 = 3*l, -2*a + 210 = 2*l - 0*a. Let f(u) = 105*u - l*u + u**2. Let z(k) = -k**3 - k**2. Give f(h) + z(h).
-h**3
Let o(p) = 4*p**3 - 10*p**2 - 10*p - 10. Let k(h) = h**3 - 3*h**2 - 3*h - 3. Determine 20*k(g) - 6*o(g).
-4*g**3
Let i(z) = 320*z. Let s(d) = 11*d. Give -6*i(g) + 176*s(g).
16*g
Let f = -12 - -15. Suppose -f*m = -2*m - 4. Let v(w) = -5*w**2 - 14*w + 6. Let j(x) = 2*x**2 + 5*x - 2. What is m*v(t) + 11*j(t)?
2*t**2 - t + 2
Let i(g) = -3*g**2 + 7*g - 8. Let h(j) = j**2 - 3*j + 4. Suppose -1 - 5 = f - d, 0 = -2*f + 3*d - 13. Determine f*h(a) - 2*i(a).
a**2 + a - 4
Let y(c) = 6*c**2 + c**3 - 2*c**2 - 3*c + c**3. Let h(l) = l**2 - l. Give -4*h(j) + y(j).
2*j**3 + j
Let p(u) = u**3 - u**2 + u + 1. Let x be -2 + (-3)/(6/(-8)). Let y(i) = i**3 + x*i**2 + 6*i**2 - 7*i**3 - 5*i - 5 - 3*i**2. Determine 5*p(b) + y(b).
-b**3
Let u(t) be the first derivative of t**3/6 - t**2 - 4*t - 5. Let o(s) be the first derivative of u(s). Let z(j) = 2. Give 2*o(n) + 3*z(n).
2*n + 2
Let w(r) = 5*
|
{
"pile_set_name": "DM Mathematics"
}
|
-4
Suppose 2*c = -2*s + 38, s = -4*c + 2*c + 23. Let w = 37 - s. Solve 5*g + 3 + w = 0 for g.
-5
Let n(a) = a**2 + 12*a + 4. Let j be n(-12). Suppose 0 = 2*l - j*l + 4. Solve 0*b = l*b for b.
0
Suppose -5*w = -3*w. Suppose i - 6 = -4*q, 3*q - i = 8 - w. Suppose -5*x + 15 = 2*o, 5*o + 4 = 4*x - 8. Solve k - q = -o for k.
2
Let u(l) be the second derivative of l**5/4 + l**4/12 - l**3/2 + l**2/2 - l. Let t be u(2). Let i = t + -27. Solve -i = k + 2*k for k.
-4
Let m be (0 + 0)*(-3)/(-9). Solve -3*b + 6 + 6 = m for b.
4
Suppose 5*c = 0, -4*r + r - 24 = 3*c. Let i = 16 + r. Solve -i*v + 3*v = 10 for v.
-2
Let w(u) be the third derivative of -u**5/60 - u**4/3 - 3*u**3/2 + 3*u**2. Let j be w(-6). Suppose j*m + 1 = 7. Solve 5 = -m*y - 1 for y.
-3
Let g = 101 - 63. Suppose 4*v = -5*s - 46, -v - s - g = 3*v. Let x = 14 + v. Solve x*a - 25 = -0*a for a.
5
Let f be ((-9)/(-27))/(138/45 - 3). Solve f - 14 = -3*o for o.
3
Let j be -18*-2*(-1)/(-3). Suppose 3*s + 3 = j. Solve 0 = s*z - 15 - 0 for z.
5
Let s = -1 + 1. Let d be 8*14/70 + (-4)/(-10). Solve -d*o = -s*o + 4 for o.
-2
Let g = 5 - 1. Solve g*p = -0*p + 12 for p.
3
Let h(u) = -u - 7. Let n be h(-10). Suppose n*l = 6*l. Solve -5*a - 13 + 3 = l for a.
-2
Let l be (36/(-15) - -3)*5. Suppose 0 = -b + l. Solve -5 = b*u + 2*u for u.
-1
Let x(n) = -n**2 + n. Let i be x(-1). Let h be (57/(-6))/(1/i). Let a be h/2 + (-4)/8. Solve 25 = 4*f + a for f.
4
Let h = 9 - 4. Let z(v) = -v**3 - 7*v**2 + 6*v + 1. Let w be z(-8). Let x = w - h. Solve k + x = -3*k for k.
-3
Let h(n) = -n**2 - 5*n. Let y be h(-4). Suppose -2*g + g + 16 = 0. Solve -y*o + 0*o = g for o.
-4
Suppose d = -3*d + 8. Suppose m + 4*v + 4 = 0, 3 = d*v - 1. Let s be (-27)/(-18)*m/(-2). Solve 16 = -5*i - s for i.
-5
Suppose 2*l - 7*l = 2*i - 54, -4*i + 38 = 3*l. Let c(z) = z - 7. Let o be c(9). Solve -3*h - o = l for h.
-4
Suppose 27 + 3 = 3*h. Let m = 12 - h. Solve m = 3*v - 7 for v.
3
Let v be ((-8)/(-5))/(5/50). Let q = 17 - v. Solve 0*f = -f + q for f.
1
Let y be 0/(-2 - -2 - -2). Solve 3*q = 3 - y for q.
1
Suppose -c - 3 = 2*c + n, 4*n = 5*c - 12. Let o(p) = p + 1. Let a be o(c). Solve -a = 3*l - 4 for l.
1
Let o(w) = w**3 + 20*w**2 + 19*w + 2. Let i be o(-19). Solve -i*r = -7*r for r.
0
Let q = 8 - 19. Let m = q - -13. Solve -7 = g - m for g.
-5
Let q be ((-3)/4)/((-12)/64). Solve p + 2 = q for p.
2
Let n(j) = -2 + j - 10*j - 6*j. Let p be n(-8). Suppose 0 = 3*k - 0*s + 2*s - 86, -3*s - p = -5*k. Solve 6 = -4*g + k for g.
5
Suppose 2*h - h - 3 = 0. Suppose -1 = 5*p + m + 7, 4*m - 6 = -p. Let l be (3/p)/((-12)/32). Solve -5 = -h*v + l for v.
3
Let b = 4 - 6. Let i be (3/b)/((-3)/18). Solve j + i = 4*j for j.
3
Let n(s) = 3*s**2 - 33*s - 30. Let x(z) = z**2 - 11*z - 10. Let o(g) = -3*n(g) + 8*x(g). Let j be o(10). Solve -3*d - 2*d = -j for d.
4
Let y(c) = -c**2 + 13. Let f be y(0). Solve -5*o + 2 = -f for o.
3
Let i(y) = 3*y + 65. Let u be i(-20). Solve 2 = u*d - 8 for d.
2
Let j = 19 - 19. Suppose -5*d - 4 + 19 = 0. Solve s + j*s = d for s.
3
Let t(g) = -g**2 + 5*g. Let b be t(4). Let o(h) = -h - 2. Let z be o(-3). Solve 0 = -b*l + 9 - z for l.
2
Let c(f) = -f**2 - 11*f + 26. Let l be c(-13). Solve -u = -l*u + 4 for u.
-4
Let p be 2*(-12)/(-32)*4. Solve 0 = p*r - 2*r - 2 for r.
2
Suppose r - 12 = -0*r - 2*m, -10 = -5*m. Suppose 3*o + 20 = r*o. Solve 0 = -0*y + o*y for y.
0
Let m = -20 + 24. Let h be (-4)/(-1) - (0 - -1). Solve h*v - 5 = m for v.
3
Suppose -b + 3*d - 7 = -d, 2*d = 2*b - 4. Suppose b*a = -0*a. Solve 5*u = -a*u for u.
0
Suppose -11 + 61 = 5*d. Let l(y) = -4*y - 7. Let b be l(-7). Let q = -11 + b. Solve -q - d = 5*g for g.
-4
Let n(f) = -f**3 + 6*f**2 - 4*f - 4. Let j be n(5). Let w be (3/3)/j + 3. Solve w*i - 17 = -1 for i.
4
Let i be 0/(-3 + 2 + -1). Suppose -3*m + i*m = 0. Solve m = -4*y - 13 + 1 for y.
-3
Suppose -2*y = 4 - 14. Suppose 3*d - 3 = -3*i, y*d + i = -1 + 10. Let p(z) = z**2 - 3*z - 4. Let l be p(5). Solve d*m - l*m = -4 for m.
1
Let b(a) = a + 8. Let c be b(-6). Let p be 2 + 0 + 0 + c. Solve 3*j = p - 19 for j.
-5
Let x = -14 - -14. Solve -6*l + l + 5 = x for l.
1
Suppose 5 = 3*v - 7. Solve -v = 3*c - c for c.
-2
Let g be (-4)/2*35/(-14). Solve -t = -0*t - g for t.
5
Suppose 0 = -6*o + o + 75. Suppose 0*s + o = 3*s. Let j be (3/1)/(11/11). Solve 4*w - s*w = j for w.
-3
Let c be (2/3)/(8/(-12)). Let b = 2 - c. Solve -b*f + 4 = -f for f.
2
Let x(y) = 2*y**2 - 2 - y + y**3 - 3*y**2 + 0*y**2 - 2*y**3. Let m = 5 - 7. Let w be x(m). Solve 0 = v + 3 - w for v.
1
Suppose 27 + 33 = 12*p. Solve 3*d - p - 1 = 0 for d.
2
Suppose 0 = -4*l - 3*z - 13, -z = 2*l + 4 + 1. Let m = 0 - l. Let j = 1 - m. Solve j = 5*x - 2*x for x.
0
Suppose j - 4 = -3*p - 1, 5*p + 2*j - 6 = 0. Solve p = -m - 1 for m.
-1
Let k be 3/(-2) + 14/4. Solve 0*v + k*v = 8 for v.
4
Suppose -5*f + 4 = -p + 32, -3*p - 16 = 5*f. Solve 1 = c + p for c.
-2
Let p = 166 - 116. Suppose 0 = 3*t + 2*t - p. Solve t = 4*q - 9*q for q.
-2
Suppose -3*w = -0*w. Solve 4*k = -w*k for k.
0
Let b = 3 - 3. Suppose k + 2*t = 3, 0 = -0*k - 2*k + 4*t + 6. Solve b = -0*w + 3*w - k for w.
1
Suppose -5*m + 16 = -2*w, -m - 14 = -w - 4*m. Suppose 1 = -3*v - o + 3, -2*o - 4 = w*v. Suppose -5*d = 3*i - 88, 0*i = v*d + 3*i - 28. Solve d = -4*q + 4 for q.
-4
Suppose -20 = -j + 3*x, -2*x - 3*x - 15 = 2*j. Suppose 5 = r - 0. Suppose -3*s + 3*y + 10 = -4*s, -4*s - j*y - r = 0. Solve -4 - 6 = -s*p for p.
2
Let p be 309/21 - (-4)/14. Let s = 22 + -18. Solve -s*a + 1 = -p for a.
4
Let o(k) = -k**3 - 4*k**2 - 5*k - 2. Let w be o(-3). Let c be (-4)/(-2)*10/w. Solve -c*t - 10 = -3*t for t.
-5
Let j be 4/(-10) - (-36)/15. Let y(u) = u. Let h be y(0). Suppose -3*m + h*m - 12 = 0, 3*c - 4*m = 25. Solve -j*r - 15 = c*r for r.
-3
Let g be 4/(-7)*(4 - 11). Suppose 5*t + 0 = -5, 3*q - g*t = 13. Solve 2*x = -q*x - 10 for x.
-2
Suppose 0 = 2*f + 2*f - 108. Solve -11 + f = 4*v for v.
4
Let y be (2/1)/(10/(-45)). Let m = 14 + y. Solve -2*n = 3 + m for n.
-4
Let r be ((-12)/8)/((-2)/(-24)). Let a be (-4)/r + 4/(-18). Solve a = -0*l - 3*l for l.
0
Let o(d) be the third derivative of d**6/120 + d**5/20 - d**4/6 + d**3/3 + 2*d**2. Let l be o(-4). Solve 6*u - 4 = l*u for u.
1
Suppose 8*b = 10 + 14. Solve -b*w = -6*w + 9 for w.
3
Let z(i) = -2 - 8*i + 5*i + 2*i + 6. Let k be z(2). Let j be 10*k/12*3. Solve -j*d = -d - 12 for d.
3
Let h = -13 - -12. Let m = 3 - h. Solve q - m = -0*q for q.
4
Let u(c) = -7*c - 3. Let v(f) = 27*f + 11. Let g(a) = 22*u(a) + 6*v(a). Let i be g(1). Solve 7 + i = 5*l for l.
3
Let c = 3 - 0. Suppose -c*g = 2*g + 5. Let o be (1/g)/((-3)/9). Solve 0 = o*b - 4*b for b.
0
Let n(d) = -d + 1. Let k be n(4). Let i be -1 + -10 - (k - -1). Let o(l) = -l**3 - 9*l**2 - 2*l - 8. Let q be o(i). Solve -5*f - 10 = q for f.
-4
Let i be ((-1)/(-2))/(1/6). Let p(c) = c + c**2 + i - 1 - 2. Let k be p(-1). Solve -5*l = -k*l for l.
0
Let m = 25 - 16. Suppose -20 = -33*v + 28*v. Solve o = v*o - m for o.
3
Let g(m) = -m**2 + 6*m - 6. Let j be g(3). Solve 2*f + j*f = 20 for f.
4
Let p(b) = -7*b**2 - b + 10. Let w(a) = 11*a**2 + a - 15. Let h(t) = -8*p(t) - 5*w(t). Let s be h(-5). Solve v + s = 3 for v.
-2
Suppose 3*t - 46 = 7*t + 3*s, t + 2 = 4*s. Suppose -3*j + 25 - 70 = 0. Let g be (-86)/t + j/25. Solve -l - l = -g for l.
4
Let z be 8 + (-4)/(-12)*0. Solve -u = u - z for u.
4
Suppose -3*m + 5*w + 39 = -1, 0 = 5*m + 2*w - 46. Solve -m = 3*j - j for j.
-5
Let v be (-3)/(-2)*(-12)/(-6). Solve v*j + 0*j = 3 for j.
1
Let t = 32 + 14. Let z = 67 - t. Let j = -13 + z. Solve -5*h + j + 2 = 0 for h.
2
Let p = -15 + 21. Solve -p*s + s + 15 = 0 for s.
3
Suppose -2*c + 2*n + 7 = -1, -n = c + 2. Suppose -c = -5*h + 9. Solve -14 = -4*v + h for v.
4
Suppose -3*h = 2*h + 10. Let a be (-29)/9 + h/(-9). Let s be a/(-2)*16/6. Solve s*q = q for q.
0
Suppose 11 - 39 = 2*i. Let f = i + 20. Solve w = f*w for w.
0
Let c be -3*(5/(-3) - -1). Solve 3*d - c*d = -1 for d.
-1
Let f = -99 + 101. Solve -f*r = r + 9 for r.
-3
Let c(l) = -l**3 + l - 1. Let y be c(1). Let x = 3 + y. Let k be (-1)/x + (-5)/(-10). Solve k*v + 12 = -4*v for v.
-3
Let o be 9/2 - 9/18. Solve o*y = -3 - 5 for y.
-2
Let g(j) = 0*j**3 + 3*j**2 + 1 + j**3 + 3 - j**2 - 2*j. Let i be g(-3). Suppose 4*v - 7 - 9 = 0. Solve 7 = -v*r - i for r.
-2
Let o(k) = k**3 - 5*k**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
e h = 4*l + 4*y - 146, 239 = 3*l - y. Is l a prime number?
True
Let a(c) = 7*c**3 - 16*c**2 - 9*c + 115. Is a(11) composite?
True
Let j(b) = b**3 - b**2 + 3*b + 1. Let o(y) = -y**2. Let a(l) = j(l) + 2*o(l). Let v be a(5). Suppose -v = -n - n. Is n a composite number?
True
Suppose -5*d + t + 590312 = 0, -4*t - 115288 = -2*d + 120826. Is d composite?
True
Let s(b) = b + 1. Let d(k) = 15*k**2 + 2*k + 16. Let a(w) = 5*w**2 + w + 5. Let g(j) = 8*a(j) - 3*d(j). Let o(n) = -g(n) - 2*s(n). Is o(5) a composite number?
True
Suppose -507 = -5*d + 848. Suppose 4*z - d = 5*x, -247 = -3*z - 2*x - 3*x. Let y = -37 + z. Is y composite?
False
Let g be 5 + -3 + 0 + (-1)/(-1). Let h(n) = 14*n**3 + n**2 - 4*n + 2. Is h(g) a prime number?
False
Let o(z) = 3*z + 15. Let p be o(-6). Is 660 - p - (0 - -1) prime?
False
Let o(k) = 7*k + 1. Let i be o(-5). Is (-8 + -30)*i/4 composite?
True
Let o = -10 - -13. Suppose -f - 2 = o. Let x(u) = -36*u + 5. Is x(f) a composite number?
True
Let u = 14593 - 10146. Is u prime?
True
Let y(i) = -1338*i - 575. Is y(-11) a prime number?
True
Suppose 4*g + n = -n - 20, -g = 2*n + 5. Let z(f) = 6 + 5 - 169*f**3 - 2*f**2 + 168*f**3 - f - 12 + 0*f. Is z(g) a composite number?
False
Suppose 7*u - 7 = 266. Suppose 40*z = u*z + 485. Is z prime?
False
Suppose 2*m - 3*m = 4*z, 5*z = 0. Suppose o = -m*o + 319. Is o prime?
False
Suppose 4*b - g = -1 - 42, -4*g = 4*b + 68. Let y be 508/b*(-17 + 2). Suppose -p = 4*p - y. Is p a composite number?
False
Suppose -5*m + 15 = -0*m + 5*l, -m - 5*l + 7 = 0. Let i(s) = 17*s**2 + 4*s + 1. Is i(m) composite?
True
Suppose -4*q = 3*k - 25, -4*q = -3*k - 0*q + 17. Suppose 0*b = k*b - 1295. Is b prime?
False
Let o be (-3)/12 - (-37)/4. Let r = -5 + o. Suppose 0 = 2*w + 3*i - 178, -r*w - 4*i + 392 = -7*i. Is w prime?
False
Suppose -5*q + 2*q + 5*l - 8 = 0, q - l = 0. Is (-111)/(-6) - q/(-8) composite?
False
Let c = -257 + 470. Suppose 0 = 5*j - 722 - c. Is j a prime number?
False
Let q(x) = 2*x**2 - 6*x + 11. Suppose -4*f + 34 + 4 = 3*n, 34 = 4*f + n. Is q(f) prime?
False
Let i(v) = -v**3 - 5*v**2 - 13*v - 7. Let n be (-30)/3*(-1)/(-2). Let o be i(n). Is (2 + -1)/(1/o) prime?
False
Suppose 68579 = -284*k + 291*k. Is k a prime number?
False
Let z = -130 - -442. Suppose 0 = -5*h + 4*h + 3*g + 151, 0 = -2*h + g + z. Is h a prime number?
True
Let c(j) = 31441*j + 172. Is c(3) prime?
False
Suppose 2*m = -p + 12, -2 = -p - 0. Suppose -m*v + 2077 = -518. Is v composite?
True
Suppose -2*l = 10 - 6, 0 = 4*c - 2*l - 19760. Is c prime?
False
Suppose 0 = 3*h - 2736 - 3312. Suppose 3*b - h = -0*b. Suppose -3*j - 3*z = -j - 668, 2*j - b = -5*z. Is j a prime number?
True
Let f(k) = -2*k**3 + 6*k**2 + 2*k + 14. Let y be f(-7). Suppose 2*h - 3 = 13. Is (-3)/2 + y/h a prime number?
False
Let z(r) be the second derivative of 403*r**5/20 + r**4/3 - 5*r**3/6 + 5*r**2/2 + 4*r + 4. Is z(2) a composite number?
True
Suppose 0 = 4*m - 3*m - 3. Suppose 0 = 3*o + m*r - 5925, -4*o + 4*r - 974 + 8858 = 0. Is o prime?
True
Suppose -3 + 8 = m. Suppose -m*k + 5117 + 2158 = 0. Suppose -5*g + k = -2*v + 4*v, 4*v - 273 = -g. Is g a composite number?
False
Let x be (-3)/21 + 58/14. Suppose 6*q + 6 = 4*q, -x*z + q + 895 = 0. Is z a prime number?
True
Suppose 12 = 4*r, 4*f - 4*r = f - 735. Suppose -2*m = -7*m + 2260. Let u = m + f. Is u a composite number?
False
Suppose -17*d = 8869 - 34556. Is d a prime number?
True
Let i(y) = 164*y + 849. Is i(8) composite?
False
Suppose -178*h + 168*h + 16570 = 0. Is h prime?
True
Let z = -22 - -4. Is 16/72 - (-40)/z - -424 composite?
True
Suppose 21*t = 4*t + 11917. Is t a composite number?
False
Suppose 32 = -4*i + 2*k, -3 = 4*i + 3*k + 9. Let m(o) = -5*o + 8. Is m(i) a composite number?
True
Let t(h) = -h**3 + 4*h**2 + 5*h - 16. Let q be t(4). Suppose 4*i + 8*m - 12644 = q*m, 4*m + 9497 = 3*i. Is i a prime number?
True
Suppose -4*d - 3*a = -13, 0*a + 2 = 5*d - a. Suppose 5*c - d = -6. Is (-12)/c + (2 - 3) composite?
False
Let y(n) = 57*n + 4. Let w be y(-7). Suppose 3*x - 5*x = 500. Let c = x - w. Is c a prime number?
False
Let z(s) = 2*s**2 + s - 6. Let v be z(-3). Is v/(9/(-2)) + 193 composite?
False
Is (-6)/(24/(-140))*3006/90 composite?
True
Let y = 9 - -22. Let r = -28 + y. Is 795/2*2/r a composite number?
True
Let i = 108 + 128. Let a = i + -75. Is a composite?
True
Let j = 2378 - 1207. Is j composite?
False
Suppose 5*i = 82428 - 22618. Is i composite?
True
Let d(k) = k**2 - 4. Let c = -12 + 9. Let r be d(c). Suppose 0*h - 215 = -r*h. Is h prime?
True
Suppose -5*k = -h - h - 16257, 2*k - 6499 = -3*h. Is k composite?
False
Suppose -4*h + 3*q + 3731 = -0*q, 2*h - 2*q - 1866 = 0. Let j(b) = -b**3 - 16*b**2 - 7*b - 28. Let w be j(-16). Is h/14 + 36/w composite?
False
Is (-2)/(((-4)/(-5842))/(-1)) composite?
True
Suppose -3*u + 5562 = 3*q, 2*q = -3*q - 2*u + 9261. Is q prime?
False
Let s = -7 - -7. Let a(v) = -50*v**2 - 11 + v + 56 + 49*v**2 + 50. Is a(s) composite?
True
Let i = -4190 + 11047. Let g = -4404 + i. Is g prime?
False
Let k = 64 + -62. Suppose -k*w + 1174 = -2628. Is w a composite number?
False
Let o(y) = y**3 + 12*y**2 - 11*y - 13. Let x be o(-12). Suppose 5*z = 4*z + x. Is z composite?
True
Is 59 - (3*(-5 - -4) - -5) a composite number?
True
Suppose 2*c - z + 12 = 0, -12 - 12 = 2*c - 4*z. Let j be (-702)/c*(4 - 2). Suppose -j - 1384 = -5*g. Is g a prime number?
True
Suppose -53*b + 37*b = -301856. Is b a composite number?
True
Let g(z) = 4*z**2 + 4*z - 39. Let v = -10 - -26. Is g(v) composite?
False
Suppose 4*h + 9327 = 5*k - 17831, -4*k = 3*h - 21745. Suppose 7*t - 2*t - 4*c - 6797 = 0, -4*t = -5*c - k. Is t prime?
True
Let o(s) = -8 - 9*s - 20*s + 0*s - 8. Is o(-15) a prime number?
True
Let m = -11 + 47. Is 27/m - (-18841)/4 a prime number?
False
Suppose 3*u - 4264 = -4*q + 4*u, 4*u + 3185 = 3*q. Is q a prime number?
False
Let m be (-360)/(1/(0 + 1)). Suppose 1657 = -8*k - 3231. Let p = m - k. Is p a composite number?
False
Let c(d) = -d**2 + 12*d - 8. Suppose 4*y - 6*y + 18 = 0. Is c(y) a prime number?
True
Suppose -2*g - 161 = -4*m - 3*g, -m + 38 = g. Let u = m + -28. Let r(n) = 20*n - 7. Is r(u) a composite number?
True
Let q(w) be the second derivative of 2*w**4/3 - w**3/6 + 3*w**2 - 27*w. Let v(l) = -4*l**2 - 1. Let g be v(-1). Is q(g) prime?
True
Let i(g) = 8*g - 22. Let t be i(4). Suppose t*v + 655 = 15*v. Is v a composite number?
False
Suppose 13*l - 12*l = 3. Let h be (4/(-6))/((-10)/45). Suppose l*d = -h*n + 261 - 90, 0 = -4*n. Is d prime?
False
Suppose 0 = 2*y - 4*m - 20, -m = 3*y - 0 - 2. Suppose 6 = d + y. Suppose 0 = j - 4*j - 5*n + 1256, -d*j = 4*n - 1672. Is j prime?
False
Let b(x) = -x**3 - 7*x**2 + 11*x - 2. Let j = -38 + 25. Let t be b(j). Is (-4)/6 - t/(-3) prime?
False
Suppose h + h + 3604 = -4*u, -2*h = 3*u + 2705. Let b = -582 - u. Is b composite?
False
Let k(j) = j + 26. Let c be k(0). Suppose 0 = 3*n - 15, 3*b - c = -n - 9. Suppose -b*x + 4*o = o - 139, 68 = 2*x - 2*o. Is x composite?
False
Let z(m) = -225*m + 256. Is z(-35) a prime number?
False
Let k = 7 - 5. Suppose -2*y + 10 = 0, -3*o + k*o + 17 = -y. Suppose 0 = p - 255 + o. Is p a composite number?
False
Suppose 0 = 2*s - 2*p + 6*p + 10, 14 = 2*s - 2*p. Let f(b) = b**2 - b - 2. Let z be f(s). Suppose z*u - 31 - 5 = 0. Is u composite?
True
Suppose -28 - 23 = -3*j - 2*o, -5*j + o = -72. Suppose j*l + 5915 = 24800. Is l a prime number?
True
Suppose 2*o = 10058 + 1616. Is o a prime number?
False
Let g(x) = 99*x - 88. Is g(5) a composite number?
True
Let n(c) = 67*c**3 - 7*c**2 - 4*c + 29. Is n(5) a composite number?
False
Let k(q) = -q**3 - 9*q**2 - 2*q - 16. Let c be k(-9). Suppose 3*o + 5*w - 662 = 0, c*o + 3*w + 214 = 655. Is o prime?
False
Let w = -3626 + 15875. Is (w/27)/(1/3) prime?
True
Let d(y) = -27*y**3 - 8*y**2 - 35*y + 1. Is d(-6) a composite number?
True
Let t(q) = -q**2 - 8*q + 6. Let i be t(-7). Is (99 - i)/((-4)/(-14)) prime?
False
Suppose 5*s = 2*j + 29185, 10*s + 3*j = 5*s + 29185. Is s a prime number?
False
Let r = 18525 + -7471. Is r composite?
True
Let h(i) = -1477*i + 309. Is h(-5) a prime number?
False
Let h(b) = -3*b + b + b - 5*b - 10. Let j be h(-13). Is j/6 - 7/21 a prime number?
True
Let w = 91 + -61. Let v(j) = -3 + w*j - 1 + 1 + 21*j. Is v(6) a prime number?
False
Let j(n) be the fi
|
{
"pile_set_name": "DM Mathematics"
}
|
Let c(l) = -l**2 + l - 1. Determine s*j(h) - 28*c(h).
-4*h**2
Let n(a) = 7*a - 7. Let o(s) = s. Let r(g) = -n(g) + 3*o(g). Let d(w) = 6*w - 4*w - 3 - 3*w + 4. Calculate 5*d(x) - r(x).
-x - 2
Suppose 5 = 3*i - 1. Suppose 0*v + 12 = i*v. Let o(r) = 7*r**2 + 6*r + 5. Let b(n) = -6*n**2 - 5*n - 4. What is v*b(j) + 5*o(j)?
-j**2 + 1
Let j(u) = -u**3 - 96*u + 4. Let p(b) = 3*b**3 + 191*b - 9. Calculate -5*j(s) - 2*p(s).
-s**3 + 98*s - 2
Let z(g) = -22*g**3 + 2*g**2 - 6*g - 4. Let t(p) = p**3 + p + 1. Calculate -5*t(y) - z(y).
17*y**3 - 2*y**2 + y - 1
Let k(f) = 0*f**2 + 5*f**2 + 6 - f**2. Let s(t) = 7*t**2 + 11. Suppose 290 = -3*g + h + 113, -4*h = -5*g - 302. Let r be 9/(-75)*-5 + g/5. Give r*k(v) + 6*s(v).
-2*v**2
Let t(w) = -11*w**2 + 7. Let u(n) = 11*n**2 - 18*n - 4. Let p(h) = -12*h**2 + 21*h + 4. Let l(b) = -6*p(b) - 7*u(b). Give 7*l(m) - 4*t(m).
9*m**2
Let z(m) = 2*m**2 + 1. Let l(h) = h**2. Let u(i) = -i**3 + 39*i**2 - 39*i + 37. Let j be u(38). Give j*z(w) - 2*l(w).
-4*w**2 - 1
Let k(g) be the first derivative of 0*g**3 + 21 + 55/4*g**4 + 25*g + 0*g**2. Let q(o) = 9*o**3 + 4. Give 4*k(b) - 25*q(b).
-5*b**3
Let a(x) = -15*x - 267. Let b(r) = 3*r + 53. Give 5*a(j) + 24*b(j).
-3*j - 63
Let y(n) = -472*n**2 - 1 + 474*n**2 + 2*n**3 + 0 - 1. Let r(w) = -6*w**3 - 7*w**2 + 7. Calculate 2*r(v) + 7*y(v).
2*v**3
Let c(j) = -6*j**2 + 7*j**3 + 260 - 266 + 3*j**3. Let u(r) = -3*r**3 + 2*r**2 + 2. Let h = 8 - 6. What is h*c(p) + 7*u(p)?
-p**3 + 2*p**2 + 2
Let s(y) = -5*y**2 - 8*y - 109. Let q(r) = 2*r**2 + 3*r + 37. Determine 11*q(c) + 4*s(c).
2*c**2 + c - 29
Let p(h) = -5 + 4*h + h**2 - 3*h + 4. Let v(d) = 2*d**3 - 6*d**2 - 4*d + 6. Give -6*p(b) - v(b).
-2*b**3 - 2*b
Let r(j) = j**2 + 6*j + 3. Let b(l) = -6*l**2 - 31*l - 16. Let z be (-1)/2 + -3*56/(-48). Suppose -z*u + 50 = 17. Determine u*r(q) + 2*b(q).
-q**2 + 4*q + 1
Let x(y) = 7*y**2 + 3*y - 4. Let v(m) = 4*m**2 + 2*m - 2. Let j = 26 + -21. Suppose 3*z - 15 = 0, -5*z = -j*g - 0 - 10. Calculate g*x(p) - 5*v(p).
p**2 - p - 2
Let f(l) = -1104998*l. Let v(g) = 1897*g. Give -5*f(p) - 2913*v(p).
-971*p
Let q be 10/4 + (-3)/6. Let b(a) = 69*a**2 + 4*a - 72*a**q - 4 + 4. Let o(x) = -2*x - 1. Let g be o(-3). Let t(l) = -l**2 + 2*l. Determine g*t(u) - 2*b(u).
u**2 + 2*u
Let v(p) = -5*p**2 + 4*p + 3. Let t(i) = 5*i**2 - 5*i - 3. Determine 2*t(c) + 3*v(c).
-5*c**2 + 2*c + 3
Let o be (-32 - -30)*4/8. Let j(a) = a**2 - a + 1. Let v(w) = -4*w**2 + 2*w - 3. Calculate o*v(n) - 5*j(n).
-n**2 + 3*n - 2
Let y(i) = -84*i**2 - 2*i - 1. Let g(p) = -p**2. What is g(q) + y(q)?
-85*q**2 - 2*q - 1
Let u(g) = -g - 1. Let i(s) = 16*s + 10. Give i(d) + 6*u(d).
10*d + 4
Let g(m) = -m**3 + 2*m**2 + 4. Let q(r) = -r**3 + 3*r**2 + 3. Determine 6*g(x) - 5*q(x).
-x**3 - 3*x**2 + 9
Let j(x) = 6*x**2 - 7. Let y = 98 - 96. Let f(s) = 4*s**y - 8 + 4*s**2 + 2*s**2 - 3*s**2. Give -4*f(l) + 5*j(l).
2*l**2 - 3
Let d be 1*(-3)/6 - 162/(-36). Let r(w) = -4*w**3 + 19*w**2 - 7*w + 7. Let t(i) = -i**3 + 6*i**2 - 2*i + 2. Calculate d*r(z) - 14*t(z).
-2*z**3 - 8*z**2
Let c(g) = -6*g + 12. Let u(a) = 5*a - 14. What is 6*c(h) + 5*u(h)?
-11*h + 2
Let n(x) = -89*x**2 - 6. Let v(l) = 30*l**2 + 2. Give -3*n(i) - 8*v(i).
27*i**2 + 2
Let k(c) = 5*c**2 - 41*c + 6. Let x be k(8). Let u(t) = t**2 + t - 2. Let n(i) = -i + 3. Determine x*n(a) - 3*u(a).
-3*a**2 - a
Let d(m) be the second derivative of -m**3/3 + 5*m**2/2 - 2*m + 1. Let q(b) = -6*b + 14. What is 11*d(y) - 4*q(y)?
2*y - 1
Let n(o) = -8*o. Let z(a) = -2*a**3 + 23*a**2 - 12*a + 17. Let f be z(11). Let y(d) = -3*d. What is f*n(k) - 17*y(k)?
3*k
Let g(r) = -r**3 - 5*r**2 - 18*r - 7. Let h(y) = y**3 + 4*y**2 + 12*y + 5. What is 5*g(t) + 7*h(t)?
2*t**3 + 3*t**2 - 6*t
Let a(j) = -215*j - 9. Let o(w) = 209*w + 11. Give -7*a(c) - 6*o(c).
251*c - 3
Let u(v) = -v**2 + 2. Let n = -34 + 39. Suppose 2*c - 26 = 4*b + 2, -10 = n*b. Let k(q) = -3*q**2 + 5. Determine c*u(w) - 4*k(w).
2*w**2
Let s(a) = -2*a - 2. Let n(p) = -24*p - 18. Give 4*n(y) - 40*s(y).
-16*y + 8
Let w(g) = -2*g**2 - g - 2. Let p(v) = -6*v**2 - 3*v - 7. Suppose -44*h = -15*h - 58. Calculate h*p(i) - 7*w(i).
2*i**2 + i
Let p(l) = l + 5. Let s(m) = 3*m**2 + m + 23. Determine 3*p(u) - s(u).
-3*u**2 + 2*u - 8
Let v(x) = 443*x - 906*x - 5 + 3 + 462*x - 6*x**3. Let u(a) = -11*a**3 + a + 3*a - 6*a - 3. Determine -4*u(h) + 7*v(h).
2*h**3 + h - 2
Let n(l) = -792*l + 440. Let h(i) = -88*i + 48. Determine -55*h(c) + 6*n(c).
88*c
Let g(y) be the first derivative of -y**4/4 + y**3/3 - y**2/2 + y + 1. Let s(w) = -6*w**3 + 4*w**2 - 4*w + 4. What is -12*g(q) + 3*s(q)?
-6*q**3
Let u(q) = 327*q**2 - 5*q + 10. Let l(m) = 490*m**2 - 7*m + 14. What is 5*l(z) - 7*u(z)?
161*z**2
Let c(m) be the third derivative of -m**4/12 + m**3/2 + 72*m**2. Let t(x) = 2*x - 4. Determine -4*c(l) - 3*t(l).
2*l
Let u(a) = 12*a - 6*a - 1 + 0 - 5*a. Let s(d) = 6*d - 3. Determine -s(y) + 5*u(y).
-y - 2
Let x be (-1 - 1)/(4/(-22)). Let q(r) be the first derivative of r**4/2 + 7*r**3/3 - 3*r + 3128. Let v(b) = 4*b**3 + 13*b**2 - 5. Give x*q(s) - 6*v(s).
-2*s**3 - s**2 - 3
Let o(l) = 23*l**2 + 40*l + 7. Let w(y) = -15*y**2 - 27*y - 5. Calculate 5*o(k) + 7*w(k).
10*k**2 + 11*k
Let h(x) = -2*x**3 - 4*x**2 + x. Let y(d) = d**3 + d**2. Suppose 2 = 21*m - 19*m. What is m*h(f) + 3*y(f)?
f**3 - f**2 + f
Let x(r) = 5*r**2. Let j(z) = -3*z + z**2 + 5*z - 2*z. Let m(t) = 12*t**2 - t. Suppose 6 - 9 = -3*u. Let n be m(u). Give n*j(w) - 2*x(w).
w**2
Let j(d) = -d. Let v(m) = 35*m - 9. Give -6*j(f) + v(f).
41*f - 9
Let r = 205 - 206. Let l(o) = -o**3. Let g(s) = s**3 + s**2 + 4*s. Determine r*g(a) + l(a).
-2*a**3 - a**2 - 4*a
Let n(p) = -p + 1. Let v be -1 - (3 + -3)*(2 + -3). Let x(m) = -3*m + 6. What is v*x(t) + 2*n(t)?
t - 4
Let t(h) = 19*h**2 + 8*h + 21. Let p(z) = -13*z**2 - 5*z - 14. Calculate -8*p(g) - 5*t(g).
9*g**2 + 7
Let k be -2 - 32/(-12)*30/4. Let z(v) = v**3 - v**2. Let i(u) = -4*u**3 + 4*u**2. Let o be (-184)/(-6) - 8/12. Suppose 10 = -5*x + o. Give k*z(a) + x*i(a).
2*a**3 - 2*a**2
Let y(h) = -31*h - 11. Let q(g) = 152*g + 54. Determine -3*q(b) - 14*y(b).
-22*b - 8
Let n(o) = o**3 - 5. Suppose 0*w - 4*w + 16 = 0. Suppose -w*j + 4 = 2*z - 3*z, 0 = -3*j - 5*z - 20. Let f(q) = 74 + q**3 + j*q**3 - 80. What is 5*f(s) - 6*n(s)?
-s**3
Let l = 20 - 7. Let x(w) = -7*w**2 - 6*w + 9. Let n(q) = -15*q**2 - 13*q + 19. Let g(c) = l*x(c) - 6*n(c). Let b(j) = -2*j**2 + 8. Give 3*b(f) - 8*g(f).
2*f**2
Let b(z) = 11*z**3 - 4*z**2 - 5*z - 7. Let d = 531 - 526. Let l(f) = 17*f**3 - 6*f**2 - 8*f - 11. Give d*l(n) - 8*b(n).
-3*n**3 + 2*n**2 + 1
Let g(j) = -j**3 - 16*j**2 + 19*j + 40. Let y be g(-17). Let o(f) = -13*f + 6. Let t(b) = -26*b + 13. Determine y*t(v) - 13*o(v).
13*v
Let d(w) = 2*w**2 + w - 2. Let f(b) = 6*b**2 + 3*b - 5. Suppose k + 3*m = 0, -k + 6*k + 2*m = 13. Calculate k*f(s) - 8*d(s).
2*s**2 + s + 1
Suppose g = 3*g + 110. Let c = g + 97. Let h = -59 + c. Let y(d) = -8*d**2 - 3*d + 17. Let o(s) = -3*s**2 - s + 6. Determine h*o(k) + 6*y(k).
3*k**2 - k
Let q(k) = -3*k**2 + 4*k - 1. Let j(y) = -5*y**2 + 7*y - 2. Let f(o) = -4*j(o) + 7*q(o). Let n(w) = 3*w**2 - 2*w - 4. Give 2*f(r) + n(r).
r**2 - 2*r - 2
Let j(v) = -7*v**2 + 12*v + 14. Let d(t) = t**2 - 3. What is 5*d(q) + j(q)?
-2*q**2 + 12*q - 1
Let a(f) = 15*f**3 + 5*f**2 - 7*f - 2. Let p(u) = 23*u**3 + 8*u**2 - 11*u - 3. Let y be (0 - 10)/(-10 - (-13 - -5)). Determine y*p(v) - 8*a(v).
-5*v**3 + v + 1
Suppose 8*d + 14 + 10 = 0. Let a(m) = -240*m - 155. Let z(t) = 34*t + 22. Let s(y) = d*a(y) - 20*z(y). Let p(b) = -5*b - 3. Give -25*p(u) - 3*s(u).
5*u
Let z(t) = -13*t**2 + 8*t + 125. Let o(c) = 28*c**2 - 17*c - 250. What is -6*o(p) - 13*z(p)?
p**2 - 2*p - 125
Let p(h) = 26*h**3 - 16*h**2 + 11*h - 1. Let b(l) = 5*l**3 - 3*l**2 + 2*l. Suppose 165*y - 44 = 169*y. Give y*b(j) + 2*p(j).
-3*j**3 + j**2 - 2
Let s(o) = 67*o + 15. Let k(f) = 202*f + 41. Give -4*k(n) + 11*s(n).
-71*n + 1
Let h(n) = 5*n - 3. Let t(d) be the second derivative of 2*d**3/3 - d**2 - 2*d - 57. Determine 3*h(g) - 4*t(g).
-g - 1
Let i(m) = -2*m**3 - m**2 + m + 1. Let d = 1 - -4. Let k(l) = 748 - 749 - l**3 - 4*l**2 + d*l**2. Give -i(c) - k(c).
3*c**3 - c
Let z(w) = -4*w**2 - 2*w + 3. Let j(h) = 1. Give -6*j(g) + 2*z(g).
-8*g**2 - 4*g
Let u(a) = -1. Suppose f + 5*c = -15, -9*f + 5*
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{
"pile_set_name": "DM Mathematics"
}
|
at is the common denominator of -67/458 and 1 - (-20 + (-28)/7)?
458
Suppose -s = -2*n + 35 - 255, -2*s + 447 = 3*n. What is the least common multiple of 14 and s?
1554
Suppose o + 5*g = -0*g + 22, 5*o = -2*g + 18. Suppose 0 = -0*i - i + o. Find the common denominator of 31/10 and i/(-9) + 3028/(-144).
20
Calculate the common denominator of 19/35 and (-220)/(-50)*6/4.
35
Suppose 19*k = 18*k + 42. Calculate the lowest common multiple of k and 14.
42
Let l(y) = -256*y**2 - 6. Let c be l(-4). Let v = c + 57539/14. What is the common denominator of v and -25/7?
14
What is the lowest common multiple of 75/4 + 69/(-92) and 118?
1062
What is the common denominator of -65/34 and 1/9*-1 - 4760/306?
102
Find the common denominator of -1*(-5)/(-5)*35/22 and -79/76.
836
Suppose -23*j + 1302 = 198. What is the common denominator of 9/14 and j?
14
Find the common denominator of 49/80 and (-1)/28 + 22/(-77).
560
Let o be 5/(-2)*28/(-5). Let p = 19 + o. Calculate the least common multiple of 10 and ((-18)/(-10))/(p/220).
60
Let o be (9/(-2))/(6/(-36)). Suppose o = 4*h - 9. Calculate the smallest common multiple of h and 2.
18
Let u(t) = -t - 7. Let s be u(-10). Suppose 2*b + 2*m - 210 = -3*b, -25 = -b + s*m. What is the least common multiple of 32 and b?
160
Let x(g) = -2*g**2 + 15*g - 10. Let a be x(6). Suppose 5*o - 22 = a. Calculate the smallest common multiple of 17 and o.
102
Let h(p) = -4*p - 7. Let d be h(-2). Calculate the least common multiple of d + (-4)/(-5) + 17/85 and 5.
10
What is the common denominator of 11/2 + (-7)/((-392)/16) and -51/2?
14
Let f be (56/4*-1)/(-2). What is the lowest common multiple of 2 and 36*(7/3)/f?
12
Let r = 5939/1432 - 4/179. What is the common denominator of (-111)/3*3/30 and r?
40
Suppose -2*c - 4 + 12 = 0. What is the common denominator of (0 - 40/(-9)) + (-15)/90 and (-1)/c - (-251)/(-12)?
18
Calculate the common denominator of -145/12 and -14 + 8 + (-17)/(-18).
36
What is the common denominator of (-192)/(-80)*((-9)/7 + 2) and (66/(-10) - -1)/((-10)/25)?
7
Let u be (3/423)/(2/18159194). Let x = 64394 - u. Let a = 4993/5358 - x. Calculate the common denominator of 109/6 and a.
114
Let i = 66 - 51. Suppose -m = u - i, 0*u + m + 5 = u. Calculate the lowest common multiple of u and 10.
10
Let b(c) = 13*c**2 + 2*c - 1. Let d = -31 + 32. What is the smallest common multiple of b(d) and 27/6*2/3?
42
Let t = -100 - -256. What is the least common multiple of t and 4?
156
Let c be (-3)/(-2)*14/1. Let k = c + -12. Suppose -4*m + 12 = 4*j, -2*m = j + 2*j - 7. What is the least common multiple of k and j?
9
Suppose -7*m - 40 = -11*m. Find the common denominator of (21/m - 2)*-21 and ((-5)/3)/(8/(-33)).
40
Suppose -5*s = -7*s + 12. Let n(o) = o**2 - 7*o + 12. What is the lowest common multiple of n(s) and 2?
6
Let a = 784321/1182930 - 60/5633. What is the common denominator of 121/60 and a?
420
Let i(a) = -5*a**2 - 69*a + 16. Calculate the least common multiple of 14 and i(-14).
14
Suppose -5*y + 1800 = 10*y. What is the least common multiple of 30 and y?
120
Suppose 12*i + 5 = 11*i. Calculate the smallest common multiple of 233*i/(-35) + (-2)/7 and 3.
33
Let l = 7713 - 424229/55. Find the common denominator of l and -40/11.
55
Suppose 10*p = 1378 + 422. What is the smallest common multiple of 14 and p?
1260
Let v(o) be the third derivative of -7*o**4/6 - 3*o**2. Let b be v(-1). Suppose -b = 5*c - 118. Calculate the least common multiple of c and 28.
252
Find the common denominator of -83/162 and (-12 - (-495)/44)/((-18)/(-76)).
162
Calculate the common denominator of (-1 - 8) + 8442/900 and 89/60.
300
Let p = 73 + -174. What is the common denominator of 18/5 and 2 + (p/(-10) - 3)?
10
Let a = 497899/6 - 83180. Let u = a - -9487/48. Find the common denominator of 3/6 - (-87)/(-4) and u.
16
Suppose 0 = 5*l - 5*i - 885, 4*l + 2*i - 315 = 387. Suppose c - 9*c + l = 0. Let h(o) = o + 9. Calculate the least common multiple of c and h(-6).
66
Suppose 5*w - w - 16 = 0. Suppose -2*m - k - 4 = 2, k + 10 = -4*m. What is the lowest common multiple of (m/5)/(w/(-80)) and 3?
24
Let m = -88/263 + 25873/8942. Let q = 1746 + -15785/9. What is the common denominator of m and q?
306
Let t(j) be the third derivative of -j**4/8 - j**3/3 - 3*j**2. Let b be t(-2). Suppose 22 = -b*s + 86. What is the lowest common multiple of 2 and s?
16
Let c = -2260 - -2284. What is the least common multiple of c and 33 - 2 - (-1)/1?
96
Let b = -13 + 21. Suppose -5*o + b = -o. What is the common denominator of 119/12 and 314/40 + (0 - o)?
60
Suppose -3*j + 54 = -0*j. Let l(z) = 13*z**2 + 1. Let g(u) = 2*u + 27. Let x be g(-14). What is the least common multiple of l(x) and j?
126
Let a = 71150357729 + -117398095202603/1650. Let s = a + -362/275. Let q = -2993 - s. What is the common denominator of q and -74/3?
6
Suppose 4*b - 4 + 12 = 0. Let y be 135/10 - (-3)/b. Suppose y = -5*f + 52. What is the lowest common multiple of 5 and f?
40
Let y = 30 + -32. Calculate the lowest common multiple of y + 25/2 + (-7)/(-14) and 1.
11
Suppose 5*r = 5*j + 150, -2*r = -j - 86 + 28. What is the lowest common multiple of 36 and r?
252
Suppose -5*y + 5*m - 4*m = 18560, 5*m + 18590 = -5*y. Let a = -37051/10 - y. Find the common denominator of a and -4 + 2 + 21/98.
70
Let y be 8/36 + 1407428/288 + -2. Let f = -4897 + y. Find the common denominator of -87/22 and f.
88
Let p = -2498 - -2514. Calculate the smallest common multiple of 6 and p.
48
Let o be 30/(-42) + (-2)/7. Let s(j) = -2*j**2 + 14*j - 20. What is the smallest common multiple of s(3) and (-1)/(o/2) + 16?
36
Suppose 113*s - 1974 - 3676 = 0. What is the least common multiple of 305 and s?
3050
Suppose a - 9451 = 5*x, x - a + 1891 = -0*a. Find the common denominator of 73/14 and 5595/x + (-3)/7.
126
Let l = -17 - -21. Let m(u) = 8*u - u**3 + 6 + 5*u**2 + 5*u**3 - 3*u**3 + l*u**2. What is the lowest common multiple of m(-8) and 16?
48
Let r be (5 + -4)*-1*(1 - -13). What is the smallest common multiple of 22 and 48/28 - (-2)/r*-2?
22
Let k be 4/(-5)*12940/(-8). Let h = 1/9382 + -379981/93820. What is the common denominator of k/208 - 38/(-247) and h?
40
What is the common denominator of (-1070)/(-132)*246/820 and 6/9 - 151/(-12)?
44
Calculate the common denominator of (-661)/(-180) + (-4)/18 and (-4 - -1)*(-238)/(-252).
60
Suppose 0*y - 3*y = -3. Suppose 0 = 2*j - g - 42, 3*g + 34 = 2*j - 4. What is the smallest common multiple of j and y/2 - 44/(-8)?
66
Let q = 10199/1110 + -4/185. Find the common denominator of (-20 - -35)/(45/(-35)) and q.
6
Let u(l) = -2*l - 6. Let v be u(-5). Suppose 6*a + 7 - 7 = 0. Suppose a*x = -v*x + 4. What is the lowest common multiple of x and 3?
3
Let t = 326 + -324. Suppose -x + 2*u = -12, 2*x - 4*x = -2*u - 22. Suppose x + 12 = i. Calculate the least common multiple of t and i.
22
Let w = 5949 - 588902/99. Find the common denominator of 52/9 and w.
99
Let y = -8 - -12. Let j be (1/(-77))/(y/(-1948)). Let k = j + -90/11. What is the common denominator of k and 31/8?
56
Suppose 5*x = 4*c + 1 + 13, x - 2*c + 2 = 0. Calculate the smallest common multiple of 96 and x.
96
Suppose 13*h = 146 + 49. Calculate the lowest common multiple of 87 and h.
435
Suppose z - 18 = -0*z. Let j be ((-9)/12)/(3/84). Calculate the lowest common multiple of (-77)/j - (-1)/3 and z.
36
Let h = 66 - 58. Calculate the common denominator of (1476/162)/(h/(-3)) and 89/18.
36
Let w = 34 - 84. Let k = w + 52. Calculate the smallest common multiple of k and 17.
34
Let d be -1*4/(-8)*2. Let k = 17 - d. Calculate the common denominator of -51/40 and (-4)/k - (-708)/(-16).
40
Suppose 0 = -3*c + 2*c - l + 115, -4*c + 5*l = -424. What is the smallest common multiple of c and 7?
777
Suppose -3 = 3*v + 2*b - 5, 0 = b - 1. Suppose o + 0*o + 11 = v. Let n = 3 - o. What is the least common multiple of 20 and n?
140
Let j be (36/54702)/((-10)/(-3)). Let n = 238041/70910 + j. What is the common denominator of n and 5/4?
28
Let r(l) = l**3 - 8*l**2 + 26*l + 20. Calculate the lowest common multiple of 22 and r(6).
1144
Suppose -15*z = -17*z - 104. Let b = z - -54. Let i = 87 + -61. Calculate the lowest common multiple of i and b.
26
Suppose 2*z - 30 = 2*w, 2*z = 5*z - 2*w - 40. Calculate the lowest common multiple of 5 and z.
10
Let a be
|
{
"pile_set_name": "DM Mathematics"
}
|
235. Let u = 138 - q. Solve -10 + u = k for k.
-3
Let r be (399/14 + -6)*(-72)/(-60). Solve 78 = -r*u + 14*u for u.
-6
Let c(f) = 12*f + 4. Suppose 3*a + a = 52. Let r be a/(-26) + 6/4. Let v be c(r). Solve 0*g = -4*g - v for g.
-4
Let m(j) = -j**3 + 17*j**2 + 4*j - 24. Let x be m(17). Suppose -9*b - 2*b + x = 0. Solve 2*p + 6 = b*p for p.
3
Let b be (-72)/(-9) - -3 - 8. Suppose -m + 4 = 0, 3*w + b*m - 16 = 2. Solve -21 = w*l - 9*l for l.
3
Let a = 201 - 176. Suppose 22*i - a*i + 12 = 0. Solve -5*s + 14 = i for s.
2
Let i be (5 - -1) + 147 + -6. Let o = i - 118. Solve o*x = 25*x for x.
0
Suppose -t + i = 2, 5*t - 894*i - 18 = -896*i. Let z = 2 - 1. Let y = z - -1. Solve 4 + y = -t*c for c.
-3
Let b(f) = -f**3 - 2*f**2 - f - 23. Let p be b(-4). Let m(q) = -q + 24. Let l be m(p). Solve -l*n + 2*n + 27 = 0 for n.
3
Let p(q) = 14*q - 89. Let a be p(6). Let j be -130*(-1)/(-25)*a. Solve j*c + 12 = 23*c for c.
-4
Let n(j) be the third derivative of j**5/30 - j**4/8 - 7*j**3/2 + 4*j**2 - 17*j. Let g be n(-3). Solve -g = -5*r - r for r.
1
Suppose -274 = 46*m - 826. Solve -6*o = m*o + 90 for o.
-5
Let r(t) be the second derivative of -t**4/3 - 13*t**3/6 + 3*t**2/2 - 33*t. Let j be r(-3). Let s be 2 - (0 + -2 + j)/2. Solve s = -l + 2 - 7 for l.
-5
Let m(u) = 19*u - 1617. Let c be m(86). Solve c*p = 184 - 269 for p.
-5
Let r(v) = v**2 + 4*v - 140. Let c be r(10). Suppose -4*t = -8, 3*t + c*t - 14 = -2*l. Solve -8*d = -20 - l for d.
3
Let l(s) = -36*s + 83. Suppose -15*k - 3*u - 1 = -11*k, 0 = -2*k + 2*u + 10. Let z be l(k). Solve -4*p + z*p = 14 for p.
2
Let s be (3 - (5 + 5/(-1)))*12. Let n be 0/(-2)*s/(-108). Solve n = -0*v - 5*v - 5 for v.
-1
Let n be ((94 - 4) + -5)/1. Suppose 2*f = -15*f + n. Suppose -5 + 20 = f*p. Solve 4*s - 5 = p*s for s.
5
Let x(s) = 19*s**2 - 7*s - 2. Let c be x(5). Let q be (-5)/20 - c/8. Let a = -51 - q. Solve a*p - 8 = 6*p for p.
-4
Let p be -2 + 7/((-21)/(-15)). Suppose -12 = -3*d + g, 5*g + 9 = -3*d + 21. Solve 0 = p*h - 5*h - d for h.
-2
Suppose -14*i + 14*i + 17*i = 0. Let m be (18/(-135))/(1/(-40))*3. Solve 51*f - 55*f + m = i for f.
4
Let y be (-2)/3 - 2912/(-273). Solve 787 = y*x + 727 for x.
6
Suppose -237*t = -262*t. Solve t*c - 92 = -23*c for c.
4
Let d(v) = 5*v + 5. Let i be d(-11). Let j = i + 51. Suppose 2*u + 3*h - 3 = 0, 4*h - 5 + j = -3*u. Solve u*t = -4*t - 8 for t.
-2
Let y(h) = 38*h + 935. Let m be y(-19). Solve -m*r = -185*r + 252 for r.
-9
Let d(w) = w**2 - 10*w + 10. Let i be d(11). Let t = -21 + i. Let y be -14*(2 - 3) - 12. Solve g = -t*g - y for g.
-2
Suppose 5*t + 3*t = -512. Let r = 64 + t. Let a be 8/(-5)*(r - 10). Solve -4*g + 0*g = -a for g.
4
Let w be (7 - 116/(-16))*(-104)/(-39). Solve -w*j = -44*j + 24 for j.
4
Let l be ((-816)/(-187))/24 + (-207)/(-11). Solve l*n = 27*n - 40 for n.
5
Suppose 52 = 9*b - 11*b. Let p be (b/36 - (-8)/36)*-2. Let u be (1/(4 + -5))/(p/(-5)). Solve -u = i - 4 for i.
-1
Suppose -13*y + 15*y - 96 = -30*y. Solve y*a + 114 = 126 for a.
4
Let u = 5952 - 5938. Solve u*y + 84 = -7*y for y.
-4
Let q(n) = n + 4. Let o be q(-2). Suppose 0 = -o*c - 21*c + 46. Solve h = c*h + 4 for h.
-4
Suppose 4*y - 28*u = -23*u + 209, 5*u = 5*y - 255. Solve y*s - 352 = 90*s for s.
-8
Let z = -2620 + 1840. Let t be (3/2)/((-117)/z). Solve 5*q + 10 + t = 0 for q.
-4
Let t be (3304/140 - 16)/((-1)/(-5)). Solve -15 = 43*a - t*a for a.
-3
Suppose -k - 9 = -2*a - 0*k, 0 = 3*a - 4*k - 11. Suppose -4*u + 45 = -5*y + 2, 65 = 5*u + a*y. Solve -13*g = -u*g + 2 for g.
-2
Let k(d) = -d**2 + 11*d - 26. Let y = -242 - -249. Let g be k(y). Solve -7 = g*v - 5 for v.
-1
Let j = 335 - 359. Let m be j*(2/(-6))/1. Solve 4*h + m = 6*h for h.
4
Let m = -25887 - -25887. Solve -3408*j + 3416*j - 40 = m for j.
5
Let p = -816 - -840. Solve 0 = -11*n + 20 + p for n.
4
Let q(w) = -w + 50. Let z be q(35). Suppose 0 = z*i - 20*i + 15. Solve -f - 2 - i = 0 for f.
-5
Let j be 2/(-9) + 3310/(-90). Let u = 42 + j. Suppose 0*n + 4*n + 20 = -5*h, n = 4*h - u. Solve h*d + 2*d - 4 = 0 for d.
2
Suppose 0 = -2*f + 9*a - 11*a + 76, -3*f + 5*a = -130. Solve 2 = 14*x - f for x.
3
Let u = -68 - -72. Let v be (-3 - -3)/(4/(-1 + 5)). Let o(m) = m + 33. Let r be o(-13). Solve -p - u*p + r = v for p.
4
Let u = 138 - 8. Suppose -3*j + u = -5*w, -5*w = -4*j + 229 - 54. Let m be (-2)/((-2)/j*3). Solve i + 2*i = m for i.
5
Let z = -37 + 37. Let l be -1*(1 - z) - (-12)/(-4). Let t = l - -6. Solve 4*c + 2 = t*c for c.
-1
Let j(d) = -d + 4. Let l be j(2). Let b(o) = -40*o + 8642. Let p be b(216). Solve p*t = 3*t - l*t for t.
0
Suppose 0 = -3*y + 5*j + 1171, 4*y - 2*j = -6*j + 1508. Solve y - 470 = -11*q for q.
8
Suppose 3*r + 15 + 24 = 3*o, 3*o + 3*r - 51 = 0. Solve 0 = 303*p - 300*p - o for p.
5
Let i = 4038 - 4034. Solve 36*a = -i*a + 120 for a.
3
Let w be (-6)/4*(-376)/6. Let r be (1470/(-10) - -9)/((-6)/(-4)). Let s = r + w. Solve -4 = s*n - 0 for n.
-2
Let n = 107 + -78. Let s be (21 - 15) + n*2. Solve -x - 67 + s = 0 for x.
-3
Suppose 3*b + 139 = 4*d, -d + 0*b + 49 = 4*b. Let h be -2 + 2 + -31 + (-4 - -1). Let j = h + d. Solve j*y = 4*y - 2 for y.
2
Suppose 0 = 5*u + r - 10, -4*u + 5*u + 19 = 4*r. Let n be 2/((14 + 900/(-54))/(1*-4)). Solve -n*z + 2*z - u = 0 for z.
-1
Suppose 0 = 13*z + 50 - 193. Let j be ((-4)/12)/(1/(-3)). Solve -j + z = 2*i for i.
5
Let b be ((-1)/(2/(-4)))/(40/3220). Suppose 148*v = b*v. Let f = 1 + 3. Solve -4 = f*m - v for m.
-1
Suppose 0 = 2*i + 3*d - 23, -1051*d + 32 = 5*i - 1052*d. Solve i*c = -4*c - 22 for c.
-2
Let r = -74 - -79. Suppose -3*b = -k - 2, 5*b = -r*k - 5 + 15. Solve -2*w = k + 5 for w.
-3
Let f be (-5)/(324/(-318) + 1). Let g = f + -257. Solve g = -2*m + 6*m for m.
2
Let u be 4/26 + (-280)/364*-18 - 7. Suppose 12 = 2*j - 3*l, l - 2*l = -3*j + 11. Suppose -5*g = -2*g - j. Solve 0 = -3*a + u - g for a.
2
Suppose -135*j = -149*j + 714. Solve -6*p = -j + 81 for p.
-5
Let q = -8 - -8. Suppose q = -9*u - 5*u + 14. Let l be (-23)/4 - -6 - (-11)/4. Solve u + 8 = l*b for b.
3
Suppose 16*j = 17*j. Let c be j/(6 + 20/(-5)). Suppose -13*x = 2*x - 30. Solve -2*n - x + 0 = c for n.
-1
Suppose 12*d = 9*d + 9. Let a be (6 - 9) + d - -1*5. Solve -a*r + 25 = -10*r for r.
-5
Let c be 492/12 - (1 - (-10)/(-2)). Let x be c/99 + (-12)/(-22). Solve -2*r + x = 3 for r.
-1
Suppose 0 = h - 3*h + 6. Suppose h*u + 5*x = 6*u + 26, -56 = 5*u - 2*x. Let a be 2*(-3)/u + (-9)/(-6). Solve a*w + 4 = -4 for w.
-4
Let d be 27/(-12)*16/(-6). Let a = 1902 - 1890. Solve a = -d*p - 6 for p.
-3
Suppose 0 = -24*x + 28*x + 2*r + 6, -3*x - 15 = 5*r. Solve 0 = -9*b - x + 9 for b.
1
Let g(k) = -k**3 + 3*k**2 + 9*k - 6. Let d be g(5). Let o(z) = -3*z - 28. Let q be o(d). Suppose -2*f + f + 21 = 0. Solve 4*r = -f + q for r.
-4
Suppose -12*k = 5*k + 6*k - 3749. Solve -k*f = -167*f + 16 for f.
4
Let q be 5*((12 - 20) + 0 + (-219)/(-15)). Solve -q*s = -31*s + 2 for s.
-1
Let b be ((-1026)/(-1368))/((-2)/(-32)). Solve b*u + 16*u = -84 for u.
-3
Let p be (-2)/8 - 58*(-10)/16. Solve 6*h = -p + 72 for h.
6
Let k be (-104)/24 - 481/(-39). Solve k*j - 20 = 28 for j.
6
Suppose 0 = -3*x - x + 16. Let g be (40/(-5))/x + 6. Let m(q) = 3*q - 9. Let b be m(g). Solve b = -o - 0 for o.
-3
Suppose 5*y + 2*o = y + 122, -157 = -4*y + 3*o. Solve 28*g + 42 = y*g for g.
7
Suppose 2*r + 2*n = 22, 110 = 5*r - n + 31. Suppose 8*o + r = 39. Let m(a) = -a + 3. Let y be m(o). Solve t + 2 + 0 = y for t.
-2
Suppose -2*y - 68*y - 72*y + 710 = 0. Solve -16 = -y*a + a for a.
4
Let d(x) = x**3 + 5*x**2 + 5*x - 3. Suppose -3 = -h + 7. Suppose -5*j - f - 4 = h, 4*f = 5*j + 19. Let w be d(j). Solve -r - 2 + 5 = w for r.
3
Suppose 3*m + g = -g + 16, m = g + 7. Let n(p) = -p**2 - 6*p + 3. Let b be n(-6). Suppose b + m = 3*y. Solve -y*q = -12 + 3 for q.
3
Let z be (4 + -2)/(-2) - (405 - 7). Let s = z - -399. Solve 13*o - 16*o + 9 = s for o.
3
Let n(v) be the second derivative of v**4/12 + 5*v**3/6 - v**2 + 2*v. Let i be n(-6). Suppose -45 = 23766*j - 23775*j. Solve j*z = i*z for z.
0
Let q(m) be the first derivative of -m**3/3 - 6*m**2 - 27*m - 41. Let g be q(-8). Solve -4 = g*f + 21 for f.
-5
Let m be (-26566)/(-592) + 6/16 + (-2)/8. Solve -46*z + m*z - 4 = 0 for z.
-4
Let c = -3622 + 3758. Solve 56 = -c*f + 122*f for f.
-4
Suppose 0 = -5*g - 25, 0 = n - 4*g - 8 - 20. Solve 17*r
|
{
"pile_set_name": "DM Mathematics"
}
|
iple of 2 and c(-8).
16
What is the lowest common multiple of 22 and (60/9)/((-2)/(-6))?
220
Let r = -25/51 + -299/153. Suppose 4*f - 76 = o, 2*f - 2*o = -3*f + 92. What is the common denominator of r and 7 + -4 - (-28)/f?
45
Let v(y) = -3*y**2 + 2*y**2 + 3*y + 4 + 0*y. Let u be v(4). Suppose 2*r = -2, -3*n + u*n + 25 = -r. What is the least common multiple of n and 2?
8
Let u = -15 - -11. Find the common denominator of (71/u)/(5/(-2)) and 101/12.
60
Find the common denominator of 5/(-20)*2 - (-303)/54 and 4/11.
99
Let g = -8 + 22. Calculate the common denominator of -87/4 and ((-6)/20)/(1/g).
20
Suppose 0 = 2*d + 5*g + 26, d + 4*g + 7 = 4*d. Let k be (0 - (1 + d)) + 1. Let b = k + -1. Calculate the least common multiple of b and 10.
10
Let y(h) = -h**2 + 11*h - 15. Let n be -3 - (-4 - -2) - -10. Suppose a + 3*a + 13 = 3*j, 5*a = j - 8. Calculate the lowest common multiple of j and y(n).
3
Let w = -12/59 + -837/236. Find the common denominator of 23/8 and w.
8
Suppose 0*m - 5*m = -285. What is the smallest common multiple of m and 3?
57
Suppose 5*q + 0*q - 40 = 0. Suppose 0*f = -4*f - 24. Calculate the common denominator of -13/5 and (86/f)/(q/12).
10
Suppose 0*k = 3*k - 9. Find the common denominator of 39/5 and k - (2 + 16/(-6)).
15
Suppose -10 = 4*m + 5*n + 74, -3*m - 4*n = 63. Find the common denominator of m/(-5)*1/3 and -89/8.
40
Let z(d) = d**2 - d. Let a be z(2). Suppose -a*h + 8 = -0*h. What is the least common multiple of h and 3?
12
Suppose 6 = 5*a - 49. Suppose 3*s + 38 - a = 0. What is the smallest common multiple of (24/s)/((-2)/6) and 2?
8
Let h be (1/(-5))/((-14)/(-791155)). Let w be 0 - (-1*11295 + -2). Let d = w + h. Find the common denominator of d and -3/16.
112
Find the common denominator of 23/8 and 89/(-1 + (6 - 3)).
8
Find the common denominator of 51*3/24 + 1 and (-5)/3*54/(-16).
8
Calculate the common denominator of (236/10)/((-36)/(-30)) and -83/21.
21
Let c(u) = 5*u**2 - 3*u - 6. What is the smallest common multiple of 12 and c(-2)?
60
Suppose -2 = 3*f - 2*f. Let l be ((0 - f)/(-2))/(-431). Let a = l + -22415/1293. Calculate the common denominator of a and 23/7.
21
Let v = -18795/2 + 10000. Suppose 4*c = -3*f - 1803 - 107, -4*f - 2*c - 2550 = 0. Let l = f + v. Find the common denominator of -53/14 and l.
14
Let t = 1279/12 + -338/3. Find the common denominator of -1/4 and t.
12
Suppose -2*f = 3*f - 25. What is the common denominator of -19/2 and f/15 - 831/36?
4
Let o = 34 - -8. Calculate the least common multiple of o and 21.
42
Let a = 56/101 + 3223/2020. What is the common denominator of -115/28 and a?
140
Calculate the common denominator of -2 + ((-1428)/64)/(-7) and (7/(-3))/((-24)/68).
144
Suppose -128 = a - 32. What is the common denominator of 1438/120 - 4/10 and -3 + 4/(a/76)?
12
Suppose 0*a = 3*a - 30. Let c be 9 + (-5 + 0 - -3). Suppose 0 - c = -y. What is the least common multiple of a and y?
70
Find the common denominator of 59/9 and 74/(-27)*(-2)/(-4).
27
Let a = -43/3 + 38. Find the common denominator of a and -11/30.
30
Let p(q) be the second derivative of -q**5/20 - 5*q**4/6 - 11*q**3/6 - q**2 + 4*q. Let f = -1 + 3. What is the lowest common multiple of f and p(-9)?
16
Let u = -5 + 21. What is the least common multiple of (0 - 14/3)/(10/(-30)) and u?
112
Let z = -247463/18 + 13744. Calculate the common denominator of z and -125/18.
18
Let s = 839/154 + -100/11. Let i be 85195/(-24) - 2/(-3). Let r = -3558 - i. Find the common denominator of r and s.
56
Let b be (-8)/4 - 2/(-1). Suppose -5*x - 1 + 11 = b. What is the common denominator of x + 37*3/(-6) and 101/6?
6
What is the common denominator of -42 and (-2 - 16/(-7))/(8/(-236))?
7
Let k = -22 - -37. Let x = 22 - k. Calculate the smallest common multiple of 2 and x.
14
Suppose 6*d - 3*d = -25380. Let j = d + 118501/14. Find the common denominator of j and -5/4.
28
Suppose -f + 2 = -0. Let o(l) = -7*l - 48. Calculate the smallest common multiple of f and o(-7).
2
Let b be 4 + (-2 - 3/(-1)). Suppose -3*w + 10 + b = 0. Calculate the lowest common multiple of w and 5.
5
Let a(z) be the second derivative of z**3/6 + 3*z**2 - 3*z. What is the least common multiple of 8 and a(5)?
88
Let f be (862/(-274))/((-1224)/(-2248)). Let w be -1 + -2 + 41920/13974. Let v = f - w. Find the common denominator of 16/11 and v.
99
Let v(j) = -50*j + 12. Let h be v(11). Calculate the common denominator of 17/18 and 7/(-28) + h/(-24).
18
Find the common denominator of 11/(-66) + (-290)/6 and 63/34.
34
Let k = 44495/18 + -2477. Let z = -1085135/99784 - 2/12473. Find the common denominator of z and k.
72
Let t = -3/1466 - -45479/16126. Calculate the common denominator of -1/4 and t.
44
Suppose 0 = 2*t - 3*t + 3. Let j = 4 - 1. Suppose 4*c + 35 = 2*u + t*u, 14 = 2*u + j*c. Calculate the lowest common multiple of u and 5.
35
Suppose 3*b + 13 = b + 5*o, 4*b - o = 1. What is the smallest common multiple of b*(-4 + 2) - -22 and 14?
140
Let l be ((-4)/7)/((-18)/63). Suppose 2*d = 6*d - 16, l*i = 2*d - 4. What is the lowest common multiple of i and 44?
44
Suppose -4 = q + 4*h - 5, 5 = 5*q + 4*h. Let z(x) = -10*x**3 - 1. Calculate the smallest common multiple of z(-1) and q.
9
Suppose -4 = -2*u, 2*u + 64 = 5*p - u. What is the least common multiple of 80 and p?
560
Let v = -53347527/91 - -586248. Let l = v - 80/13. Calculate the common denominator of l and -47/5.
35
Let a = 1899/1352 - 5/169. What is the common denominator of 5210/1120 + 4/14 and a?
16
Let x = 6367/510 - -4/255. Find the common denominator of x and 13/6.
6
Find the common denominator of 1162/288 - (-12)/(-54) and 85/8.
16
Suppose 0 = 2*q - 3*w - 7, -5 + 19 = 2*q + 4*w. What is the lowest common multiple of 5/3*12/2 and q?
10
Let g = -59 - -68. What is the lowest common multiple of g and 9?
9
Let g(h) = h - 3. Let z be g(7). Suppose -5*u + z*u + 20 = 0. Calculate the smallest common multiple of 10 and u.
20
Suppose -f - 3*b = b - 24, f - 4*b + 8 = 0. What is the lowest common multiple of f and 6?
24
Let k = 61 + -56. Calculate the lowest common multiple of 4 and k.
20
Suppose -4*b - 23 + 7 = 0. Calculate the common denominator of (-2)/6 - (-74)/b and ((-2)/(-8) + 1)*790/25.
6
Calculate the smallest common multiple of 11 and (-1146)/(-57) - (-2)/(-19).
220
Let t = 3/4028 + -191339/12084. Let y be (-12 - -9) + (-1 - -1356). Let w = 5507/4 - y. What is the common denominator of w and t?
12
Suppose -4*p + 8 = -0*p. Find the common denominator of (-224)/12*1/p and 65/4.
12
Let s be (-5388)/(-7) - (-2)/7. What is the common denominator of 69/(-4) - (-1)/1 and (-3)/(-15)*s/24?
12
Suppose 4*h + 5*i + 20 = -h, -4*i = 3*h + 15. Let d = h - -2. Calculate the lowest common multiple of d and (-1)/((-2)/(-1))*-12.
6
Let f(g) = g**2 - 2. Calculate the smallest common multiple of 14 and f(4).
14
Suppose -4*y - 94 - 38 = 0. Let q = -19 - y. Calculate the lowest common multiple of (-5 + 3)*-1 - -4 and q.
42
Let w be -1*(3 - (2 + 1)). Let d(s) = s**2 + 1. Let q be d(-1). Suppose -t + 1 = -2*v + 9, -3*v - q*t + 5 = w. Calculate the lowest common multiple of 7 and v.
21
Let c(a) = a + 10. Let z be c(-7). Suppose 0 = 3*w + 3*m - 15, 0 = w - 6*w - z*m + 15. Suppose w*s + 36 = 3*s. What is the lowest common multiple of s and 1?
12
Let i(q) = 4*q. Let h(o) = 7*o. Let a(c) = 3*h(c) - 5*i(c). Let d = 11 + -7. Calculate the smallest common multiple of a(2) and d.
4
Suppose m + x = 1, 3*m + 3*x + x = 0. Let p = 33 + -18. Suppose 2*h - m*d - p = 3*h, -2*d = 2*h. What is the least common multiple of h and 7?
35
Let h = 19 - 17. Let u(r) = -7*r**3 + 1. What is the least common multiple of u(-1) and h?
8
Let l = -3329/186 - 91/31. What is the common denominator of -25/12 and l?
12
Let v = -1055924/11 + 95920. Let m = -10915837/22 + 496291. Let x = v + m. Calculate the common denominator of x and 1/22.
22
Suppose 36 = x + 3. Calculate the lowest common multiple of x and 24.
264
Let v(i) = -i**3 + 2*i**2 - 1. Let k be v(1). Suppose -l = 3*l - 44. Calculate the lowest common multiple of (-9)/4*(-4 - k) and l.
99
Let b = 11078/5 - 2227. What is the common denominator of b and 63/8?
40
Suppose 30*y = 19*y + 99. Calculate the smallest common multiple of y and 6.
18
Let z(j) = 2*j - 2. Suppose -26 = -7*n + 23. Calculate the least common multiple of z
|
{
"pile_set_name": "DM Mathematics"
}
|
7) a multiple of 25?
True
Suppose -2*s - 5*i - 5 = 0, 6*s - i - 28 = s. Suppose -3*n - s*y + 167 = -n, 0 = 3*n - y - 225. Is n a multiple of 19?
True
Is 16 + -18 + -1 + -1 + 2620 a multiple of 18?
False
Let q(z) = z**2 + 1. Let d be q(-2). Suppose 5*f + l - 1050 = d*l, 0 = -5*f + l + 1035. Is f a multiple of 10?
False
Let j(k) = -65*k - 13. Let f be j(-10). Suppose -3*o = -f + 7. Is 35 a factor of o?
True
Let y = 2145 + -1405. Is 5 a factor of y?
True
Is -10*(-12)/60*54 a multiple of 18?
True
Let a(w) = -w**2 - 7*w - 2. Let p be a(-3). Suppose -p*c + 5*c = 395. Let l = c - -119. Is l a multiple of 13?
False
Let f = -1893 + 3378. Is 33 a factor of f?
True
Does 21 divide (2 + 1)*(-213)/(-9)?
False
Let u(r) = -r**3 + 8*r**2 + 3*r + 3. Suppose -4*c + m = -37, m + 19 = -0*c + 2*c. Let s be u(c). Let w = 73 + s. Is w a multiple of 9?
False
Let h(m) = m**2 + m + 70. Does 16 divide h(39)?
False
Does 8 divide -1 - -6*27*3/6?
True
Suppose -3*m - 759 = -4539. Is m a multiple of 7?
True
Let l be (3 + 3577)/(2/(-4)). Does 12 divide (-8)/(-10) - l/50?
True
Let p = 6 + -1. Suppose 3*b - 2 = p*x, -2*x - 4*b = -5*b. Suppose -x*j - 17 = -3*j. Is j a multiple of 4?
False
Suppose 47 = 5*x - 2*q, -7 = -3*q + 5. Let u(a) = x - 4*a + 7 + 2 - 2. Is u(-6) a multiple of 14?
True
Let l(i) be the third derivative of -i**6/30 - i**5/15 + i**4/8 + 5*i**3/6 + 8*i**2. Suppose f - 1 = -4*d, -3*f - 1 = -4*d + 12. Does 14 divide l(f)?
False
Is 18 a factor of 52/39 + (-1451)/(-3)?
False
Let i(z) = -z - 1. Let t(b) = 13*b**2 + 2*b + 1. Let p(v) = 4*i(v) + t(v). Does 19 divide p(-2)?
False
Let r be 2/(-2 - 147/(-73)). Let s = 64 + -166. Let c = s + r. Does 11 divide c?
True
Let w = 25 + -21. Suppose 5*q - a - 11 = 49, 34 = w*q + 2*a. Does 6 divide q?
False
Let j(x) = -3*x**3 + 29*x**2 + 11*x + 10. Let a(w) = w**3 - 10*w**2 - 4*w - 3. Let l(t) = 11*a(t) + 4*j(t). Let s = 11 + -6. Is l(s) a multiple of 16?
True
Let p = 49 - 7. Let b = 22 + -32. Let t = p - b. Does 26 divide t?
True
Suppose 4*o + 1152 + 1032 = 2*b, -1107 = -b - o. Does 19 divide b?
True
Let j = 491 - 451. Is j a multiple of 29?
False
Let m(u) = u**3 - 6*u**2 - 8*u + 5. Let v be m(7). Let a be (-40)/(-1 - v)*-1. Suppose x - a = -x. Is x a multiple of 10?
True
Let f = 1 + -2. Let z(p) = -117*p - 3. Is z(f) a multiple of 15?
False
Let m = 14 - 10. Suppose -m*j + 4*l + 68 = 2*l, -2*j = -4*l - 46. Suppose 0 = -3*d + j - 0. Does 5 divide d?
True
Let i(v) = -399*v - 2. Does 33 divide i(-1)?
False
Is 8 a factor of 0 - (3 - -1)*80/(-5)?
True
Let o = 150 - -327. Is 5 a factor of o?
False
Suppose 5*r - y = 4*y + 5, -r - 7 = y. Let p be 4 - (-5 - (r + 0)). Is 11 a factor of (99/(-6))/(p/(-12))?
True
Let a = 13 - 8. Suppose -1 + 25 = 3*t + 3*b, -a*t = 2*b - 25. Suppose 3*h - u - 128 = 0, 0 = -3*h + t*u + 69 + 51. Is h a multiple of 11?
True
Let k be 2/11 - 92/22. Is 14 a factor of (k/10 - (-1968)/20)*2?
True
Let w be ((-4)/(-5))/((-4)/(-30)). Let p = 256 + -187. Suppose 9*i - w*i = p. Is i a multiple of 12?
False
Let g = 2592 - 2127. Does 31 divide g?
True
Suppose 4*o - 16 = 0, 5*u - 4*o = 818 + 886. Does 8 divide u?
True
Suppose -68 = -7*g - 19. Suppose 0 = g*k - 481 - 317. Is k a multiple of 19?
True
Suppose -5*d = 74 + 66. Let q = -28 - d. Does 30 divide ((-264)/(-3) - q) + 2?
True
Let k be (4/(24/(-9)))/((-6)/8). Does 31 divide (4/(4/k))/(10/465)?
True
Let y = -55 + 51. Does 6 divide 913/8 + (231/(-56) - y)?
True
Suppose -10*b = -17*b + 490. Is b a multiple of 7?
True
Let k be ((-154)/(-55))/((-2)/10). Let j be 8/(-28) - 1894/k. Let a = j - 96. Is a a multiple of 13?
True
Let v = -163 + 342. Suppose l - 2*i + v = 0, -185 = l + 3*i + i. Let o = l - -255. Does 18 divide o?
False
Does 3 divide ((-105)/40)/((-2)/16)?
True
Let q(f) = 6*f**2 + 4*f - 58. Is 6 a factor of q(-6)?
False
Let z(g) = 29*g + 6. Let m be z(6). Suppose -3*s - 2*s = -m. Is 15 a factor of s?
False
Suppose -73159 - 7553 = -19*x. Is x a multiple of 118?
True
Let q(d) = -d**2 + 3*d + 1. Let r be q(0). Is 4 a factor of ((-45)/(-6) - r)*32/4?
True
Let i(k) be the second derivative of k**4/12 + k**3/2 - k**2 - 5*k. Let n be i(-4). Suppose 4*y = 3*g - 61, n*g + y - 27 - 10 = 0. Does 10 divide g?
False
Let u = 244 - 139. Is u a multiple of 35?
True
Let j(i) = -i**2 - 12*i + 57. Does 16 divide j(-8)?
False
Does 17 divide 6/2*(154 - -16)?
True
Let u(x) = 6*x**2 + 3*x + 1000. Is 50 a factor of u(0)?
True
Let r be 6*(75/6)/5. Suppose -10*i = -7*i + w - 780, -i - 3*w = -260. Is 7 a factor of i/6 - 20/r?
True
Let j(z) = -z**2 + 10*z + 0*z**2 + 1 + 4. Suppose 2*d = 4*q - 2*q + 24, q + 36 = 4*d. Is 6 a factor of j(d)?
False
Let o = 680 - 474. Is 35 a factor of o?
False
Let b(t) = 6*t**2 + 8*t + 4. Let d be ((-9)/(-18))/(2/(-8)). Does 2 divide b(d)?
True
Let n(m) be the third derivative of m**5/30 - 13*m**4/24 + 25*m**3/6 - 11*m**2. Is n(10) a multiple of 19?
True
Let h = 56 + -63. Let k(z) = -8*z - 3. Is 7 a factor of k(h)?
False
Does 6 divide (-9)/54 - 22/12 - -458?
True
Let d(w) = -15*w - 13. Let q(o) = 22*o + 20. Let a(x) = 8*d(x) + 5*q(x). Let t(k) = -3*k**2 - 36*k - 4. Let h be t(-12). Does 12 divide a(h)?
True
Let z be (1/(-3))/((-2)/30). Let u = 10 + -7. Suppose 2*q + u*q + z*s = 45, q = 4*s - 1. Is 3 a factor of q?
False
Suppose 0*x + 12 = 6*x. Suppose x*k + 271 = 4*k - 3*j, 0 = -2*k - 3*j + 289. Is k a multiple of 35?
True
Let v(l) = 5*l**3. Let g be v(-1). Let u(a) = -14*a - 2. Let r be u(g). Suppose -2*o + r = -32. Does 21 divide o?
False
Suppose -28*a + 30*a = 1728. Suppose -3*d - d = -a. Is d a multiple of 24?
True
Let n = -2116 - -2128. Is 3 a factor of n?
True
Let g(d) = d - 2. Suppose -3*n = -4*t - 25, -3*n = -2*n - 5*t - 23. Suppose -n*l - l + 32 = 0. Is 6 a factor of g(l)?
True
Suppose -3*n = -g + 1229, -2*n = -2*g + 4*g - 2490. Is g a multiple of 19?
False
Let c = -1 - -4. Suppose -2 = -c*y - 8. Is 26 a factor of ((-104)/20)/(y/10)?
True
Let a(u) = -6*u**2 + 3*u - 5. Let w be a(6). Let h(y) = y**2 + 5*y - 144. Let l be h(0). Let k = l - w. Does 17 divide k?
False
Suppose -r + 4*c = -19, -3*c = r + r + 17. Is 3 a factor of 3/(r - 20/(-17))?
False
Let r(y) = -4*y**2 + 65*y - 7. Is 4 a factor of r(16)?
False
Suppose 10 = 3*w + 1. Suppose 27 = 5*u + w*b, -4*u = 6*b - 2*b - 20. Suppose 146 - 392 = -u*h. Is h a multiple of 19?
False
Let l = 129 + -574. Let i = l - -747. Is 47 a factor of i?
False
Let m(h) = -3*h**2 + 4*h + 729. Is 9 a factor of m(0)?
True
Suppose 6*b = 2*b - 20, -3*n + 5*b = -43. Suppose 296 = l - 2*x, 3*x - 790 - 116 = -3*l. Suppose h + l = n*h. Is 20 a factor of h?
True
Suppose 16*n + 10*n - 5850 = 0. Is 45 a factor of n?
True
Let i = -1121 + 2801. Is i a multiple of 12?
True
Is 11 a factor of (-8 + 11)*(9 - -2)?
True
Suppose 7*z - 17*z + 4140 = 0. Does 46 divide z?
True
Suppose -730 = -4*l + l - 4*k, -5*k = -3*l + 721. Suppose -2*b + 2*g + 524 = 0, b - 3*g - l = 2*g. Does 36 divide b?
False
Let r(s) = s**3 - 51*s**2 + 174*s + 33. Is r(49) a multiple of 17?
True
Let m = 49 + -91. Let q be -3 + (-15)/6*m. Is 3451/q - 1/(-6) a multiple of 17?
True
Let m(n) be the second derivative of n**4/12 - n**3/6 + 11*n**2 - 37*n. Suppose 0 = -4*q + 3*q. Is m(q) a multiple of 11?
True
Let s = 48 - 37. Suppose -s*t + 174 = -2400. Does 14 divide t?
False
Let c be (4 - 0)/(-1 + 3). Suppose -x = 4*w - 23, 6*x - c*x - 4*w = -8. Suppose 3*d - 146 = -k, -x*k = -3*d + k + 136. Does 16 divide d?
True
Suppose 22 = -4*m + 2*r, m + 0*r - r + 3 = 0. Does 5 divide 1/4 + (-142)/m?
False
Suppose 303*p = 301*p + 480. Is p a multiple of 48?
True
Let u(i) = -5*i**2 - 3*i + 2. Let l(j) = -4*j**2 - 4*j + 3. Let x(g) = -4*l(g) + 3*u(g). Let b be x(-8). Is 21 a factor of -1*(-1 + b - 34)?
False
Let w = 5439 + -3160. Does 53 divide w?
True
Let d = 1094 + -1098. Let m(z) be the second derivative of z**4/2 + 2*z**3/3 - 4*z**2 - z. Does 24 divide m(d)?
True
Let t(h) = 2*h**2 + 60*h + 30. Is t(-30) a multiple of 6?
True
Suppose -4*z - 3*z + 2380 = 0. Is 21 a factor of z?
False
Let y = -1318 - -2423. Is 5 a factor of y?
True
Let b(o) be the second derivative of o**4/12 - o**3/2 - 7*o**2/2 + o. Let p be b(5). Suppose -35 = -2*q - 5*u, -5*q + 5*u - 15 = -p*q. Is q a multiple of 3?
False
Let f(p) = 14*p + 18. Is 2 a factor of f(5)?
True
Let o(q) = -q - 1. Let m be o(7). Let i(j) = -2*j
|
{
"pile_set_name": "DM Mathematics"
}
|
3). Is r not equal to 4/9?
True
Suppose -7*p = -11*p + 36. Which is smaller: p or 0?
0
Let y = 15 + -9. Let a(f) = f**3 - 7*f**2 + 6*f. Let s(p) = p**3 - 7*p**2 + 6*p - 1. Let o(h) = -4*a(h) + 3*s(h). Let b be o(y). Which is bigger: b or -0.1?
-0.1
Let d = 121 - 131. Let g = -15/7 + 52/21. Which is smaller: d or g?
d
Suppose 2*k + 14 = 2*g, 8*g - 3*k = 3*g + 31. Suppose -p + d - 10 = -6*p, 2*p + g*d - 27 = 0. Which is bigger: 3/4 or p?
p
Let w = -1.01 - 20.49. Let j = w + 21. Which is smaller: j or -0.1?
j
Let z = -1 + 1. Suppose 0 = -z*c + 2*c + 4. Let m = -3 + 1. Is c > m?
False
Let l = 4 - 0. Suppose 5*n + 1 = -l. Which is smaller: n or 0?
n
Let c(t) = -t**3 - 5*t**2 - 6*t - 5. Let k be c(-4). Let m be -6*((-6)/4)/3. Let a = k - m. Is a bigger than 3/5?
False
Let o be 2/(-3) - (-1 + 14). Let f = o + 199/15. Is 0.2 less than or equal to f?
False
Let v = 14 - 18. Which is bigger: -15/4 or v?
-15/4
Let s be (-6)/(-14)*(-21)/(-6). Let u = s - 1. Is u greater than or equal to 1?
False
Let l be (-64)/10 + 4/10. Let k be (2/l)/(7/(-42)). Is k at most 2?
True
Suppose 5*x = 33 + 87. Is x equal to 24?
True
Let r = 14 + -10. Let s = -3 + r. Let n = -11 + 67/6. Is s equal to n?
False
Let c be 3 + (-87)/27 + 8/18. Which is greater: 0 or c?
c
Suppose 12*m + 5 = 13*m. Does -3 = m?
False
Let y be 572/2100 + (46/(-14) - -3). Do 1 and y have different values?
True
Let s(n) = -n**3 + 2*n**2 + 3*n + 2. Let m be s(3). Let b(a) = -m + 4*a + 4 + 1. Let g be b(-2). Which is greater: -3 or g?
-3
Let t = 52 - 41. Which is smaller: t or 12?
t
Let j = -0.02 - 31.98. Which is bigger: j or 1/4?
1/4
Suppose 2*m - 4*v + 8 = 0, -3*m + 5*v = -0*m + 8. Suppose -m*d = 5*t - 44, -4*d + 14 = 3*t - 6. Let y = t - 81/7. Is 0 not equal to y?
True
Let o = -0.9 + 1. Let s = 3 + -3.1. Let d = s - -0.3. Which is bigger: d or o?
d
Let a = 109 + -78. Which is greater: a or 33?
33
Suppose -5*p - 318 = -2*w, -4*w - 196 = 3*p - 26. Is p <= -64?
False
Let g = -0.919 - 0.081. Let l = -2 - -3. Which is bigger: l or g?
l
Let j(p) = -p**2 - 5*p - 3. Let y be j(-4). Let n be 7/(-9) - 2/(-2). Which is smaller: n or y?
n
Let u = -17.2 + 16. Let b = u + 1. Suppose -q = -2*q - 1. Which is greater: q or b?
b
Let a be 4 + -11 + (-2 - (4 - 2)). Is -9 < a?
False
Let u be (-6)/66 - 0/(-2). Which is smaller: u or -1?
-1
Let s = 1.3 + -0.3. Let m = 3.02 - 3. Let a = 2.02 - m. Is s != a?
True
Let a be (2/8 + -1)*-4. Suppose -5*m + 2 = -a. Suppose m - 2 = u. Is -2/3 > u?
True
Suppose 0 = -15*o + 14*o - 1. Which is bigger: o or -2/85?
-2/85
Let t = 3.3 + 13.7. Is -2/3 != t?
True
Let c = 301/104 - 36/13. Let s(f) = f + 2. Let l be s(-2). Suppose 7*h - 6*h = l. Do c and h have the same value?
False
Let u = 147/13 + -10117/897. Which is bigger: -1 or u?
u
Let d = -1 - -1. Let g(j) = j**2 + 130. Let y be g(0). Let i be ((-4)/y)/(2/10). Which is bigger: d or i?
d
Let a = -31 + 31. Which is bigger: a or 1/17?
1/17
Let a be 1/(-4) - (-486)/(-24). Let k = a - -22. Are 1 and k non-equal?
True
Let s = 190 + -204. Which is smaller: s or -8?
s
Let o be (-16)/(-40) + (-21)/40. Are 0 and o non-equal?
True
Let v(o) = 3*o**3 - 3*o**2 + 3*o - 2. Let d(s) = 4*s**3 - 4*s**2 + 3*s - 2. Let q(z) = 4*d(z) - 5*v(z). Let m be q(2). Suppose m*x = -x. Are -3/4 and x equal?
False
Suppose 109 = -6*p - 11. Is p less than -19?
True
Let f(t) = t - 1. Let a be f(-3). Let j = 6 + a. Suppose j*h = -3*h. Is h greater than or equal to -2/15?
True
Suppose 132 = 5*s + 3*y, 2*s + 124 = 7*s + y. Is 24 at most as big as s?
True
Suppose 0 = -4*t - 1 + 25. Suppose -3*r = -4 - 14. Is t > r?
False
Suppose 4 = -13*o + 11*o. Suppose 0 = m + u + 4*u + 27, -2*m - 5*u = 34. Which is bigger: o or m?
o
Let n = 0 + 24. Which is greater: n or 1?
n
Suppose 2*z + 3*k = -6 - 7, -z - 8 = 2*k. Suppose 0 = 4*b + 4, 3*w - 2*b = -b - 5. Is z <= w?
True
Let i = 0.14 + -0.14. Does i = 20?
False
Let j = 110 + -314/3. Is 4 at least j?
False
Let q = -0.83 + 0.93. Let y = 3.1 - 3. Is q at least as big as y?
True
Let n be 2/13 - (-201)/(-39). Which is greater: -4 or n?
-4
Suppose v = 2*v. Let i = -1/257 - -269/3084. Which is smaller: i or v?
v
Let j be (-1)/(-10)*-2*1. Which is smaller: 4 or j?
j
Let y be -27 + 3 + 3 - -3. Let c be (27/y)/(-12 + 0). Let t = -2 + 3. Are t and c unequal?
True
Let m = 10 - 14. Is -5 at most as big as m?
True
Let z = -2 + 3. Let c = -14 - -10. Let o = c - -7. Which is bigger: o or z?
o
Let v(j) = j**3 + 2*j**2 - 2*j - 3. Let s be v(-2). Let m be (-1)/(-12)*(s + 1). Which is greater: 0 or m?
m
Let a = 6 + -6.1. Let m = -0.18 + 0.13. Do m and a have the same value?
False
Let l = -0.5 + -0.5. Which is greater: 3 or l?
3
Let k be 39/7 - (-2)/2. Let m = -110/21 + k. Let o(r) = r + 5. Let f be o(-4). Is f at most m?
True
Suppose -x + 4 = c - 1, -5*c + 25 = 3*x. Let t = -291/1403 - -10/61. Which is greater: t or x?
x
Suppose 0 = 25*u - 21*u - 8. Is u at least 2?
True
Let m(t) = t**3 - t - 4. Let h be m(0). Let g(l) = -l**3 - 2*l**2 - 3*l. Let b be g(-2). Let d = b + -9. Which is smaller: d or h?
h
Let x(u) = -u**2 + 14*u - 1. Let a be x(14). Let z = -171/301 + 6/43. Which is greater: a or z?
z
Let x be (-1)/3 + (-34)/(-66). Suppose 0 = -4*k - 3*p + 22, -22 = -7*k + 2*k - p. Suppose -i + 5 = k*i. Are i and x non-equal?
True
Let o(p) = 4*p + 5. Let m be o(-4). Is -10 <= m?
False
Let x(f) = f - 3. Let y be x(5). Suppose -y*d + 8 = -0. Suppose -v = -5*v - d. Is v > -2/7?
False
Let w = -3005/77 - -39. Which is greater: -1 or w?
w
Let b(u) = u**3 - 5*u**2 + u - 7. Let h(n) = n**2 + 6*n - 11. Let a be h(-8). Let i be b(a). Let r be 4/3*i/(-12). Is -1 at most as big as r?
True
Let u = 2.2 - 2.3. Is u at most as big as 28?
True
Let s(l) = 6*l - 2. Let p(g) = 7*g - 3. Let f(d) = -5*p(d) + 6*s(d). Let j be f(12). Let o be (-2)/(-15) + (-5)/j. Which is bigger: o or 1/3?
1/3
Let u = -71 - -72. Do 2/59 and u have different values?
True
Let b = 44/7 - 118/21. Do -16 and b have different values?
True
Let w = -0.3 + 3.3. Let r = -169 + 155.2. Let l = r - -14. Which is greater: l or w?
w
Let a = -66 - 26. Let j = a + 283/3. Is -1/4 equal to j?
False
Let z = -1 - -3. Suppose v + 3 - z = 0. Let d = 2/85 + 77/340. Is d smaller than v?
False
Let l = -8 + 13. Suppose -29 = -l*d - 9. Suppose -d*y - 7 = -19. Which is smaller: 2 or y?
2
Let z be -2 - (0 + -2 + -2). Suppose -3*g + 6 = -4*a, -2*a + 16 = -z*g - 6*a. Is g bigger than -2?
False
Let w(n) = n**3 - 7*n**2 + 3*n - 3. Let p be w(3). Let s be ((-2)/(-2))/((-2)/p). Suppose -2*m = 2*u + 2*m - 14, 0 = -3*u - 4*m + s. Which is smaller: u or 5/4?
u
Let w be -3 + ((-48)/(-33) - -1). Suppose -4 = 4*t - 0. Which is bigger: t or w?
w
Let q(p) = p**2 + 2*p - 2. Let a be q(1). Which is bigger: -2/33 or a?
a
Suppose 3 = -g + 10. Let i be ((0 - 2) + g)/1. Suppose 3*l = -0*l + 2*x - 1, 0 = -i*l + x - 11. Which is smaller: l or -2?
l
Suppose -2*c + 9 - 3 = 3*y, -3*c + 5*y + 28 = 0. Let m = 8 - c. Is m greater than or equal to 3/5?
True
Let t = -1528/3 + 518. Which is greater: t or 9?
9
Let g = -10 - -7. Do g and -7/2 have different values?
True
Suppose 0 = -5*y + 4*m + 5 - 41, -2*m = 4*y + 8. Let n be 10/(-45) - 88/9. Let d(k) = k**2 + 9*k - 12. Let g be d(n). Which is greater: g or y?
g
Let k(t) = t - 4. Suppose 0*a + 4 = a. Let v be k(a). Is 0 greater than or equal to v?
True
Let v be 108/(-328) + 1/2. Let z = -139/574 + v. Which is greater: z or 1?
1
Let c = 0 + 1. Suppose 5*q + 4*t = -c + 3, -2*q = 5*t + 6. Let l be (-1 - (-21)/(-27)) + q. Is l at least 1?
False
Let q = 45 + 9. Which is smaller: 56 or q?
q
Let n be 632/(-3234) + (-2 - (-48)/22). Which is smaller: n or 1?
n
Let u = -23 - -23. Suppose -s + u*s = 6. Let v(r) = -5*r**3 + 1. Let g be v(1). Which is bigger: s or g?
g
Suppose -12 = 3*z, z - 56 = -3*l + 3*z. Suppose 0 = 3*s + 3*q + 12, s + q - 4*q - l = 0. Is -2/19 at least as big as s?
False
Suppose 2 + 0 = -2*w. Let u = 7 + 0. Suppose 5*c = -u + 2. Is c >= w?
True
Let q be (40/6)/((-1)/3). Suppose -5*p + f = 74, 4*p + 0*p = 4*f - 56. Let z be q/p + 2/3. Is z bigger than 2?
False
Let h(p) = 2*p + 11. Let q be h(-8). Let t(z) = z**2 + 6*z + 7. Let u be t(q). Let a = 1 - u. Is a bigger than -3?
True
Let r = 5 + -2. Suppose -2 = r*k - k. Are 2/11 and k non-equal?
True
Let u = 12 - 14.5. Let t = -2.3 - u. Are -10 and t non
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{
"pile_set_name": "DM Mathematics"
}
|
00
Let z = -95874.9147146 + 96020.9147. Let i = 146 - z. Round i to five dps.
0.00001
Let c = -108 - -113. Let f(s) be the first derivative of -s**4/4 + s**3/3 + 5*s**2/2 + 7*s - 3. Let z be f(c). Round z to the nearest 10.
-70
Let w = -114.21 + 0.21. Let i = -2152969882.0000279 - -2152969996. Let y = w + i. Round y to 6 decimal places.
-0.000028
Let b = -2.6417 - -2.383. Let q = -0.254 - b. Round q to one dp.
0
Let f = 39.5 + 5.3. Let h = -6.2 - f. Let a = -51.0000092 - h. Round a to six decimal places.
-0.000009
Let v = 170821 - 170845.7357. Let s = v - -0.0357. Round s to the nearest 10.
-20
Let j = 0.3443 + 74.5957. Let z = j - -0.06. Let a = -64.6 + z. What is a rounded to the nearest integer?
10
Let m = -11.1 + 6.2. Let v = m + 53.9. Let f = v + -49.0276. What is f rounded to two dps?
-0.03
Let r(t) = -64643*t + 103. Let b(m) = 32322*m - 50. Let k(j) = 9*b(j) + 4*r(j). Let x be k(13). Round x to the nearest 100000.
400000
Let p(g) = -495*g - 9. Let q be p(-7). Suppose a - h - 2056 = -5*h, 2*a = 3*h + 4112. Let z = a - q. Round z to the nearest 100.
-1400
Suppose -130621 = 19*y + 24419. Let r be (y/(-20))/(6/(-2000)). Round r to the nearest 10000.
-140000
Let s = -30234821037835 - -30235267673819.000227. Let q = 446635717 - s. Let m = 267 + q. Round m to 4 dps.
-0.0002
Let k(s) = -163*s**3 - 16*s**2 + 4*s + 10 - 9*s**2 + 46*s**3. Let t be k(-20). Let g = t - 650930. What is g rounded to the nearest ten thousand?
280000
Let z(a) = 12622*a**3 + 12*a**2 - a - 408. Let v be z(-24). What is v rounded to the nearest 1000000?
-174000000
Let n = -285 + 278.3. Let p = n - -6.699981. What is p rounded to 5 decimal places?
-0.00002
Let g = -1067.94127005 - 0.10762995. Let l = g - -1068. Let x = l - -0.044. Round x to 3 decimal places.
-0.005
Let f = -111.3 + 136. Let j = 23.64 - f. What is j rounded to one decimal place?
-1.1
Let d = -378.93 + 377. Let k = -34.588 + -3.982. Let m = k + d. What is m rounded to the nearest 10?
-40
Let o = 872.203 + 1.797. Let i = 911.7 - o. What is i rounded to the nearest ten?
40
Let q = 118.814 + 0.186. Let r = -118.99999634 + q. Round r to 7 decimal places.
0.0000037
Let a = 14208.9999988693 + -14209. Round a to seven dps.
-0.0000011
Let d = -3257160.9191807 - -3255420.9191. Let c = 1740 + d. Round c to 5 dps.
-0.00008
Let o = -12.74624 + -0.13576. What is o rounded to the nearest integer?
-13
Let i = 1824641928555629.99999984 - 1824641439525637. Let x = i - 489030065. Let u = -72 - x. Round u to 7 dps.
0.0000002
Let u = -22.4595 + 0.1395. Let v = 33 + -11. Let w = v + u. Round w to one dp.
-0.3
Let z = 260657 + -260659.27522. Let u = 4387.28 - 4385. Let o = u + z. Round o to 4 decimal places.
0.0048
Let o = -105.09 - -105.096533. Round o to 4 decimal places.
0.0065
Let i = 12877.704 + -12650. Let r = -229 + i. Let h = r - 0.024. What is h rounded to one dp?
-1.3
Suppose 9 = -3*h + 15. Let a be ((-8)/2)/4 + (h - 0). Let s be -1 - (a/2 + 406/4). What is s rounded to the nearest 10?
-100
Suppose -r = 5*g - 6863560, 126544 = 5*g + 5*r - 6736996. Let p = g - 252713. Round p to the nearest one hundred thousand.
1100000
Let p = 49.5 - -9.5. Let y = -59.1 + p. Let d = -6.5 - y. What is d rounded to the nearest integer?
-6
Let v be (3*(-2010)/(-135))/(1/300). Round v to the nearest 10000.
10000
Let l = 10841 - 10841.29141. What is l rounded to two decimal places?
-0.29
Let a = 0.2536 + 0.0124. Let z = a - 11.326. What is z rounded to 0 dps?
-11
Let l = 0.169 - 43.469. Let x = l - -80. Round x to the nearest integer.
37
Let z(i) = 302*i + 2415. Let s be z(-31). Round s to the nearest 1000.
-7000
Let x = 4.4368379 - 4.439. What is x rounded to five dps?
-0.00216
Let c = 6136.71 + -6110. Let k = c - 26.715665. Round k to four dps.
-0.0057
Let o = -6.7 - 47.3. Let s = -266.29997428 - -212.2999729. Let z = o - s. Round z to 7 dps.
0.0000014
Let h = 2697700 - 2697814.99754. Let l = 115 + h. What is l rounded to four decimal places?
0.0025
Let u = 0.027742 - -357.202258. Let a = u + -1.23. Let h = a + -355.999771. What is h rounded to 4 dps?
0.0002
Let u = -22.1 + 24.775. Let t = -0.035 - u. What is t rounded to 1 decimal place?
-2.7
Suppose 110 = 11*q - 6*q. Suppose q*s + 1802500 = -3*s. What is s rounded to the nearest 10000?
-70000
Let o = -266 + 270. Suppose -3*g = o*j + 82816, 4*g = -5*j + 2*j - 110412. Round g to the nearest 10000.
-30000
Let i = 84.2 + -50.04. What is i rounded to the nearest one hundred?
0
Suppose 5*r = 0, -j - 9 = -4*j - 2*r. Let p be (-2)/j - (-654380)/12. Let n = -192531 + p. What is n rounded to the nearest ten thousand?
-140000
Let j = 212 + -203.3. Let t = 8.699998183 - j. Round t to 6 dps.
-0.000002
Let k(m) = m**3 - 2*m**2 - 14. Let l be k(0). Let x be (-7)/(l/580)*(-4 - 32). Let p = 1010440 + x. Round p to the nearest 1000000.
1000000
Let a = 8 - 3.1. Let i = a - 4.9566. Let o = 0.05660423 + i. What is o rounded to seven dps?
0.0000042
Let i = 3817.9961024 - 3818. What is i rounded to 4 decimal places?
-0.0039
Let q = 16096 - 16096.0000023819. Round q to 7 decimal places.
-0.0000024
Suppose -3*t - 6705397 = -w, -1 - 7 = -2*w. Let q = t - 824869. Round q to the nearest 100000.
-3100000
Suppose -5*k - 2*q = 349400 + 3383602, 0 = -3*k + 3*q - 2239797. What is k rounded to the nearest 100000?
-700000
Let j = -28275.0012377 - -28275. What is j rounded to four decimal places?
-0.0012
Let i = -1715 + 1721.311. Round i to zero decimal places.
6
Let w be ((-354)/(-21))/((-48)/(-168)). Suppose 57*r - w*r - 981400 = 0. Round r to the nearest 10000.
-490000
Let m be 4 - -8294 - (-28)/14. Round m to the nearest 100000.
0
Let q = 414 + -442.4. Let t = 188.3 - q. What is t rounded to the nearest 10?
220
Let n = 29943.38900072 + -29945.199. Let m = -1.81 - n. Round m to seven decimal places.
-0.0000007
Let a = 272.39 - 272.39024288. Round a to five decimal places.
-0.00024
Let z = 622614582.90000355 - 622614565. Let r = -17.9 + z. Round r to six decimal places.
0.000004
Let c = 63.96 + -0.96. Let p = 106 - c. Let h = p - 43.000019. What is h rounded to 5 dps?
-0.00002
Let t = -36.223 + 0.223. Let z = 35.99621 + t. Round z to 4 decimal places.
-0.0038
Let c = 4033 + -2353. Let n = -1602.9 + c. Round n to the nearest ten.
80
Suppose -17*s = -274510 + 793095. Round s to the nearest 1000.
-31000
Let i = -25513 - -11091. Let a = 23232 + i. Round a to the nearest 1000.
9000
Suppose 278*z = 264*z + 798. Let i = 52 - z. Round i to the nearest 10.
-10
Suppose -2*r + 7*f + 185920015 = 2*f, 3*r - 278880009 = 3*f. Round r to the nearest 1000000.
93000000
Let q = 6233.63 + -6278. Let i = -1.57 - q. Round i to the nearest ten.
40
Let h = -15.025 + 15.0266018. What is h rounded to four dps?
0.0016
Let r = -30 - -1542. Suppose -27488 = -m + r. Suppose 3*a = 2*a - m. What is a rounded to the nearest ten thousand?
-30000
Let j = -76.683 - -1.583. Let i = -2.9 + j. Let g = i + 78.0009. What is g rounded to three dps?
0.001
Let f = -14.00035 + -0.02065. Let y = f + -1.449. Round y to the nearest integer.
-15
Let k = 0.3049 + -0.30490699. What is k rounded to five dps?
-0.00001
Let m be (-217)/(-35) - 1/5. Let u be (m/(-8) - (-40873)/28)/(-1). Round u to the nearest one hundred.
-1500
Let n(b) = 112*b + 19. Let r(k) = 55*k + 9. Let o(h) = -6*n(h) + 13*r(h). Let j be o(-2). What is j rounded to the nearest 10?
-80
Suppose 8*r = 90 + 22. Suppose -r*x + 11*x - 6 = 0. Let k be ((-5)/x - 4) + 42006/4. What is k rounded to the nearest one thousand?
11000
Let c = 1353 - 1353.034724. What is c rounded to 4 dps?
-0.0347
Suppose -7459338 = -53*m - 1819608. What is m rounded to the nearest 1000?
106000
Let r = 1762.8242 - 1763. Let o = r + 0.204. Round o to 3 decimal places.
0.028
Let z = 11535 + -7914. Let q = -3622.683 + z. What is q rounded to 1 decimal place?
-1.7
Suppose 64*y - 47870644 + 4363444 = 0. What is y rounded to the nearest 100000?
700000
Suppose b - 192 + 112 = 0. Suppose -8*y = -10*y - b. Let t be (y/(-12) - 1/3) + -413. Round t to the nearest 100.
-400
Let p be (4/(-4))/(-2*1/4). Suppose 0*i = -p*j + i - 3, 0 = 4*j - i + 9. Let h be (j + 2)*28 - 18/(-6). Round h to the nearest ten.
-30
Let x = -2448272 + 41672. Round x to the nearest ten thousand.
-2410000
Let i = 97009387 + 11937967. Let w = 32352646 + i. Round w to the
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{
"pile_set_name": "DM Mathematics"
}
|
5. Let b be (-105)/(-10)*6/k. Let y be (-3)/1 + (-196)/b. Solve -y = 4*u + 3*v, -2*v + 5*v = -2*u - 17 for u.
-4
Suppose 8 = t + t. Suppose 9*g - 5*g = 0. Let z be g/5*-1 - -2. Solve d + o = -0 - 1, z*d - o - t = 0 for d.
1
Let v(r) = 2*r + 7. Let o be v(-5). Let y be (-1)/(o + 10/4). Suppose -2*n = y*m + 2, 2*n - m = 5*n - 3. Solve 3*g + 23 = -2*w - 2*w, 0 = 4*g + n*w + 24 for g.
-5
Suppose -4*l + 3*h + 4 = 0, -2*l + 4*h = 28 - 20. Solve l = 4*f - 3*d, 3*f - 13 - 1 = 5*d for f.
-2
Let v(b) = -4*b + 35. Let m be v(11). Let f be (9/(-6))/(m/24). Solve -21 = k - f*h, -6 = -2*h + 2 for k.
-5
Let w = -8 - -12. Let a be 4 - ((-1 - -3) + -2)/(-1). Suppose a*f = 4*y + 23 + 9, 12 = -3*y. Solve f*x + 6 = -2*h, 5 = -x + w for h.
-1
Suppose 3*c = 12, -2*d - 5 + 29 = 5*c. Suppose d*y = -y + 27. Suppose k + 4 = y. Solve 12 = -2*q + n, -n + 2 = -2*q - k*n for q.
-5
Let j be (2 + 1)*(-16 - -17). Solve j*r + 0 = -3*p + 30, 0 = p + 2*r - 15 for p.
5
Let d be 2/(-11) - ((-48)/66)/4. Solve 4*n - 3*p + 14 = d, 4*n = -3*p - 29 + 3 for n.
-5
Let r = -7 - -7. Let h(a) = -5*a + 4. Let k be h(r). Solve -2*i = -y + 4*y - 19, -k*y + 14 = -3*i for y.
5
Let b(o) = -2*o**3 - 4*o**2 - o + 2. Let h be b(-2). Suppose 3*n = 3*x, -3*n + h = -x - 0*n. Solve x*l + 16 = 4*d, -l + 13 = -2*l + 3*d for l.
2
Let b = 7 + -2. Let c = 2432 - 2431. Solve n + 0*n + c = 2*h, -10 = -b*h + 4*n for h.
-2
Let w be (1 + 3)/1 - (127 - 125). Solve -d + 8 = w*l, -4*l = -4*d - l + 10 for d.
4
Let h(z) = -3*z - 23. Let y(w) = 8*w + 68. Let o(p) = 17*h(p) + 6*y(p). Let m be o(-5). Suppose 8*c - m = 32. Solve -3*t + 5*l = -0*t - 12, 3*l = 2*t - c for t.
4
Suppose -5*v + 20 = 0, j - 6 = -v - 0. Suppose w - 7 = -4*n + 22, j*w = -4*n + 30. Suppose 0 = -2*u + 4*u - 16. Solve 3*g + u = d, -d - n*g = -3*g + 6 for d.
2
Suppose 5 = -4*f + 13. Solve f*w - 3*w - 17 = 5*g, 5 = -4*w + g for w.
-2
Suppose 21 = 113*i - 106*i. Suppose -5*b + 20 = -90. Solve r + b = -4*r - m, -m = -i for r.
-5
Suppose 24 = 2*c + 4. Suppose -c = -5*l - 0. Suppose -2*a + 15 = 5*r, -r + 16 = 5*a - l*a. Solve -j + r = -4, 3*m + 2*j - 13 = 0 for m.
1
Let q be (2/(-4))/((-1)/4). Let b be -3 - ((-2)/10 - (-10302)/85). Let z = -119 - b. Solve z*n - x = q*x - 17, -5*x = -20 for n.
-1
Let d = -63 - -27. Let g be (-96)/d + 1*2/6. Solve 0 = c - 2*c + g*n - 17, -4*c + 5*n = 33 for c.
-2
Suppose 176*q + 65 = 181*q. Suppose -3*z - 2*w = -q, -3*z + 14 = z + w. Solve 0 = -3*v + 5*t - 34, -v + 6*v - z*t + 30 = 0 for v.
-3
Suppose -g = p + 4, 0 = 7*p - 9*p - g - 4. Suppose w - 2 = 4*r - 7, p = -5*r + 3*w + 15. Solve 0 = -b - k + 1, 3*b + b - 2*k - 10 = r for b.
2
Let f be 78/130 + (-4)/(-10). Solve 0 = 4*p + 4*i - 4, 2*p - i = -11 + f for p.
-3
Let g(c) = -c**3 + 5*c**2 + c - 3. Let f(b) = -b**2 + b. Let u(m) = -3*f(m) - g(m). Let t be u(3). Solve 2*k - r - 13 = 0, t*k - 3*r = 4*k - 11 for k.
5
Let q(y) = y - 2. Let i be q(8). Suppose i*g + 0*g - 30 = 0. Solve 3*h = -2*x - x + 21, -23 = -2*x - g*h for x.
4
Suppose -3*o - 18*k = -22*k + 8, 2*k - 4 = 0. Solve 0 = -5*u - 4*t - 6, -u + 3*t - 5 = -o for u.
-2
Let w = -86 + 91. Suppose 0 = -2*m + 4, 3 = -w*d + m + 21. Solve -3*p - 10 + 31 = -d*t, 5*p - 3 = -4*t for t.
-3
Suppose 86 = 3*t - 2*d, -5*d - 59 = -5*t + 91. Solve -4*a = -2*k + t, 5*a + 25 + 0 = k for k.
5
Let j = -642 - -645. Solve 0*s = -4*y - j*s + 6, 2*y - 8 = -4*s for y.
0
Let z = -50 - -99. Let i = z + -37. Let k(m) = 3*m**3 + m**2 - m. Let c be k(1). Solve 0 = -5*x + n - c, -x + 3*x = -5*n - i for x.
-1
Let s(b) = b**3 - 8*b**2 + 9*b - 4. Let i be s(7). Suppose 10 = -8*j + i*j. Solve 0 = -4*m - 5*q, -j*q - 6 + 21 = m for m.
-5
Let p = -1046 - -1049. Solve -3*u + 5*f + 24 = 0, 5*u - 3*f - 21 = p for u.
3
Let v = -376 - -378. Solve 0 = 2*l + n - 3*n + v, 4*l + n = -9 for l.
-2
Let w = 2602 - 2585. Solve -2*r + 3 - w = -5*v, 0 = -3*v + 2*r + 6 for v.
4
Let k(w) be the first derivative of -w**2/2 + 19*w - 11. Let f be k(16). Solve 3*o + t + 0*t = 7, -o + 19 = -f*t for o.
4
Let y = 3 - 3. Solve y = 2*u + 2*z - 4, -5*z + 6 = 1 for u.
1
Let y = 6 - -4. Let u be (y/(-6) + 2)*6. Let g(i) = 6*i**2 + 8*i + 8. Let p be g(-2). Solve p = -4*b, -4*m - u*b = -3*m + 4 for m.
4
Let u be ((-5427)/207)/(-9) + (-4)/(-46). Suppose 6 - 21 = -z. Solve -o + 3*c - 7*c - 20 = 0, o - u*c = z for o.
0
Let t(y) = 2*y + 21. Let g(f) = -f**2 + 7*f - 11. Let k be g(6). Let z be t(k). Solve i = 2*v - z, -3*v = -0*i - 3*i - 18 for i.
-1
Suppose 0 = 5*l - 10. Suppose -7*p = -2*p - l*i - 19, 0 = -4*p + i + 14. Suppose 0*d = 3*d - 12. Solve -p*q - d*c = -q - 14, 3*c = 15 for q.
-3
Let g be 4 + -19 + 8 + 28. Solve 0 = -5*j - m - g, 6*m - 16 = 2*m for j.
-5
Let h(b) = b**2 - 2*b - 1. Let l be h(3). Let m be ((-1)/l + 0)/(-1)*4. Solve 5*w = 2*v - 10, -3*w - 2 = -0*v - m*v for w.
-4
Let w = 9 + -29. Suppose -4*x = h - 2, 5*x + 4*h - 2 = 6. Let l be w/(-15)*(x + 3). Solve 11 = -v - l*n, -3*n + 5*n - 17 = -5*v for v.
5
Suppose -4*k - 2*z + 23 - 17 = 0, -k + z - 3 = 0. Solve k = -g + 3*l - 2 + 1, 6 = 2*g + 2*l for g.
2
Suppose 5*a - 18 - 7 = d, -2*d - 22 = -3*a. Solve -2*t + 3*t - 2 = -m, a*t = 5*m - 28 for t.
-2
Suppose 101*u - 95*u - 12 = 0. Solve -m - 16 = 5*q, -5 = 3*q - u*m - 2*m for q.
-3
Let v be (2 + -1)*-1 + 3. Suppose -3*m + 16 = -v*o, -3*o + 0*o + 14 = 5*m. Let j be (-2 + (-16)/(-6))*(-45 - -51). Solve t - j = -m*y - 18, -y + 4 = 4*t for y.
-4
Suppose z - 10 = 2*i, 0 = -16*z + 14*z - 3*i - 8. Solve f = -0*j + z*j - 5, j - 20 = 4*f for j.
0
Let b(w) = w**3 - 9*w**2 - w + 5. Let y be b(9). Let o be 8*3 + y + -3. Solve 9 = -3*v - 2*q, 0*q = 4*v + q + o for v.
-5
Suppose -2 = -5*s + 9*s - 5*b, -4*s = 2*b - 12. Solve s*m - y + 4 = -0*y, 2*y + 4 = 0 for m.
-3
Let t be 35/(-2)*(-82)/287 - -12. Let s be 2/(-3*(-3)/18). Solve 16 = 3*b + s*j, -5*j = 4*b - 4*j - t for b.
4
Let b(o) = -5*o + 2. Let x(h) = h**3 + 6*h**2 - 5*h + 8. Let q be x(-7). Let u be b(q). Suppose -15 = 29*i - u*i. Solve 0 = -2*m + 3 + 3, m + 22 = i*r for r.
5
Suppose 5*m = 4*m + 5. Suppose 67*g = 64*g + 57. Solve g = -l + m*a, l = -4*a - 0*a + 8 for l.
-4
Suppose -4 = 2*x - 5*j, -2*j = -3 - 1. Solve -5*h + 35 = 2*b - 7*b, -5*h + x*b = -31 for h.
5
Let j = 1991 - 1991. Solve 0 = -4*f - j*f - 3*r + 1, 5*f = -5*r - 5 for f.
4
Suppose -24*v = -116 - 4. Solve -3*k + 3 = -4*r, 5*k = 3*r - 4*r + v for r.
0
Suppose 111 = 4*u - 4*v + 87, -3*u - 4*v = -11. Solve 12 = -t + 5*b, u*t - 9*t = b + 6 for t.
-2
Let y be 7/(0 - 5/(-75)). Let d = 105 - y. Solve -3*p - 3*q - 3 = d, 4*p - 2*p - 2 = -4*q for p.
-3
Let n(t) = t**2 + t + 4. Let s be n(-3). Let b(q) = 3*q**3 - 35*q**2 - 13*q + 17. Let v be b(12). Solve 0 = 2*k - 2*f, k = v*k + f - s for k.
2
Let o be (-4)/(-28) + (-3960)/35. Let m = o + 117. Solve 2*t + 2*p - m = 0, -5*p + 18 = t - 0*t for t.
-2
Suppose -2*b = 10, -3*m - 5*b = -3*b - 29. Suppose 6*v + 13 = m. Solve 2*a - 15 = -a + 3*c, v = a + 5*c + 19 for a.
1
Let p = 331 - 329. Solve -2*j = z + p + 9, -2*j = 4*z + 14 for j.
-5
Let z be 2*(-1 + (-3 - -6)). Suppose l + 3*g = 2*l - 5, -2*g = -z. Suppose -3*w - 5*n = 2, -2*w - 5*n + 3 = l. Solve 17 = 4*p + t, p - w*p + 28 = -t for p.
5
Let k = -1 - -3. Let s = 2 + k. Suppose -5*d + 20 = 5*p, 3*d - 2*p - 3*p = -s. Solve -4*i + 16 = -4*m - 0, 0 = -d*m + i - 9 for m.
-5
Suppose 0*v - 8 = 2*v. Let i be v/2 + 21/3. Solve -i*q = 2*p - 5*p - 2, 4 = 5*p - q for p.
1
Suppose 2*l - 21 = -o + 23, 5*l = -2*o + 111. Let k = l - 7. Suppose 14*y + 8 = k*y. Solve -2*z + 5*p - 2 = 0, 0 = y*z + 3*p + 2 + 2 for z.
-1
Let i = -120 + 123. Suppose -6 - 9 = -i*b - 3*n, -5*n + 25 = -4*b. Solve 2 = -m + 2*l, m - l + 3*l - 2 = b for m.
0
Suppose 19*j - 93 = -17. Let z be (2/(-3))/((-10)/45). Solve z*q = 2*m + 10, -2*q = -7*q - j*m - 20 for q.
0
Suppose 6*m - 26 = -7*m. Solve -m*q - 4*t = 12, 3*t + t = 4*q for q.
-2
Let a be (-3)/(-1) + (16 - 35) + 17. Solve -3*k - a = -2*d, -3*k - 2 = -d - 0*k for d.
-1
Let s = 9 + -17. Let t = 5 + s. Let x = t + 5. Solve 0 = u + 3*k - 3, 5*u - x*k - 17 + 2 = 0 for u.
3
Suppose 141 = g - 2*m + 3*m, -m = 3. Let x = 147 - g. Solve 5*n + 11 = -3*r, -x*r + 8 = -1 for n.
-4
Suppose -193*z + 197*z - 172 = 0. Suppose -4*d = -0*c + 3*c - z, 0 = -5*c - 2*d + 67. Suppose 0 = o - 5 - 0. Solve -o*v = 3*h + 36 - c, -13 = 5*h + 2*v for h.
-1
Let d = -906 + 910. Let g(s) = -3*s
|
{
"pile_set_name": "DM Mathematics"
}
|
03)?
-6
Let x(p) = p**2 + 257*p - 19404. What is x(61)?
-6
Let c(j) = 19*j - 229. Determine c(17).
94
Let t(i) = -1140*i + 410400. Determine t(360).
0
Let s(w) = -30*w**2 - 368*w - 134. Determine s(-12).
-38
Let c(r) = 30*r - 41. Give c(8).
199
Let t(p) = -15*p**2 + 60*p - 188. Calculate t(4).
-188
Let z(s) = -s**2 - 408*s + 1243. What is z(3)?
10
Let t(m) = -567*m + 4533. Determine t(8).
-3
Let o(c) = 6*c**3 + 79*c**2 + 209*c + 190. Calculate o(-10).
0
Let w(j) = -4*j - 65. Determine w(-28).
47
Let n(o) = 2*o**3 - 54*o**2 + 2*o - 64. What is n(27)?
-10
Let r(w) = -55*w + 1039. What is r(19)?
-6
Let o(u) = -2*u**3 + 109*u**2 - 209*u - 2. Determine o(2).
0
Let o(f) = -45*f - 4164. Give o(-93).
21
Let q(y) = -27*y + 863. Calculate q(18).
377
Let k(q) = -q**3 - 6*q**2 - 402*q - 1986. Determine k(-5).
-1
Let j(g) = 2*g**2 - 44*g + 31. What is j(21)?
-11
Let z(w) = -w**3 + 99*w**2 - 6*w + 598. Give z(99).
4
Let f(g) = -6*g**3 - 91*g**2 - 19*g + 22. Calculate f(-15).
82
Let j(t) = -302*t - 9357. Give j(-31).
5
Let z(h) = -h**3 - 9*h**2 - 25*h + 48. Calculate z(-6).
90
Let x(i) = -31*i - 14. What is x(4)?
-138
Let j(z) = -z**3 - 11*z**2 - 8*z - 6. Determine j(-9).
-96
Let z(j) = -j**3 + 180*j**2 - 7660*j + 63. Calculate z(69).
-6
Let b(g) = -2*g**3 + 7*g**2 + 8*g + 7. What is b(5)?
-28
Let h(q) = -29*q**2 - 2*q + 24. Determine h(0).
24
Let k(j) = -5*j**2 - 2*j. Give k(2).
-24
Let l(h) = -h**3 + 94*h**2 + 136*h - 12782. Give l(94).
2
Let z(m) = -4*m**3 - 2*m**2 - 5*m - 57. Calculate z(-5).
418
Let y(p) = -12*p**3 + 170*p**2 - 8*p + 8. Give y(14).
288
Let n(k) = -95*k**2 - 2088*k + 48. Calculate n(-22).
4
Let v(a) = a**3 - 3*a**2 - 479*a + 970. Calculate v(2).
8
Let j(d) = -d**2 + 150*d + 5613. Determine j(-31).
2
Let m(c) = -3*c**2 - 159*c - 165. Give m(-52).
-9
Let u(n) = -n**3 - 15*n**2 + 15*n + 473. Determine u(-14).
67
Let r(o) = o**3 - 2*o**2 - 98*o + 2. Calculate r(-9).
-7
Let n(q) = -q**2 - 44*q + 122. Determine n(-41).
245
Let g(u) = u**2 - 10*u + 86. Give g(10).
86
Let o(w) = 5*w**2 - 22*w + 23. Determine o(3).
2
Let l(o) = 63*o + 38. Determine l(-1).
-25
Let f(m) = -3*m**2 - 237*m + 254. Calculate f(-80).
14
Let u(w) = 77*w**2 + 970*w - 970. What is u(1)?
77
Let o(x) = -x**2 - 3*x + 43. Determine o(-13).
-87
Let j(h) = 4*h + 23. Give j(-17).
-45
Let o(a) = 502*a - 1026. Give o(2).
-22
Let d(w) = -w**3 - 106*w**2 - 964*w - 390. Determine d(-96).
-6
Let m(f) = 5981*f + 29912. Give m(-5).
7
Let v(l) = -l**3 + 11*l + 20. Give v(9).
-610
Let n(f) = -f - 22. What is n(35)?
-57
Let v(m) = 10*m**2 - 152*m + 46. Determine v(15).
16
Let g(y) = -2*y**3 + 29*y**2 + 490*y - 7. Determine g(-10).
-7
Let m(l) = 4*l**3 - 6401*l**2 + 12800*l - 2. Determine m(2).
26
Let q(l) = -l**2 + 27*l + 3934. Calculate q(-51).
-44
Let o(i) = -207*i**3 - 7*i**2 + i + 7. Calculate o(-1).
206
Let n(l) = l**3 + 7*l**2 + 1684*l + 11791. Give n(-7).
3
Let p(u) = -4*u**3 - 10*u**2 - 46*u - 84. Calculate p(-2).
0
Let o(z) = -3*z**3 + 3*z**2 - 17*z + 79. Calculate o(4).
-133
Let z(t) = t**3 - 5*t**2 - 140*t + 1208. Calculate z(-13).
-14
Let i(w) = -w**3 - 127*w**2 - w + 12. Determine i(0).
12
Let q(z) = -z**2 - 32*z - 187. Give q(-10).
33
Let w(y) = -4*y**3 - 13*y**2 - 10*y - 14. Calculate w(-5).
211
Let v(z) = 2*z**3 + 21*z**2 + 16*z + 5. Calculate v(-4).
149
Let x(r) = -6*r**2 + 12*r + 97. Determine x(-4).
-47
Let o(i) = -5*i**2 + 4*i + 3. Determine o(-4).
-93
Let o(q) = -q**3 - 5*q**2 + 39*q + 180. Give o(-5).
-15
Let x(z) = z**3 + 3*z**2 - 208*z - 425. Determine x(-2).
-5
Let z(b) = -b**3 - 65*b**2 + 505*b - 17. Calculate z(-72).
-89
Let l(b) = b**3 + 14*b**2 + 24*b - 4. Give l(-11).
95
Let m(w) = -55*w**3 - w**2 + w + 3. Calculate m(-1).
56
Let a(g) = g**2 + 32*g + 89. Calculate a(-8).
-103
Let n(b) = 2*b**2 - 12*b - 161. Determine n(-6).
-17
Let v(o) = 2*o**3 + 11*o**2 + 42*o - 11. What is v(-4)?
-131
Let n(h) = 2*h**2 + 146*h + 3. Give n(-73).
3
Let g(y) = 236*y + 46722. Give g(-198).
-6
Let p(t) = 16*t + 98. Give p(-10).
-62
Let p(x) = -924*x - 4606. Determine p(-5).
14
Let o(z) = 11415*z - 342448. Give o(30).
2
Let w(g) = -20*g - 81. Determine w(-2).
-41
Let j(q) = -q**2 + 101*q + 2575. Give j(-21).
13
Let c(u) = -584*u + 2944. What is c(5)?
24
Let j(h) = 32*h + 428. What is j(-6)?
236
Let r(u) = u**2 - 48*u + 62. What is r(48)?
62
Let w(y) = -y**3 + 11*y**2 - 26*y + 78. Calculate w(9).
6
Let g(q) = -216*q**3 + q**2 + q. Determine g(-1).
216
Let l(b) = 20*b - 77. What is l(11)?
143
Let o(s) = -s**2 + 10*s + 187. Calculate o(-7).
68
Let t(h) = h**2 - 67*h + 71. What is t(60)?
-349
Let m(f) = 2*f**3 + 68*f**2 + 191*f + 40. What is m(-31)?
-115
Let u(g) = -2*g**2 + 36*g - 65. Determine u(13).
65
Let y(w) = w**2 + 33*w - 686. Give y(-47).
-28
Let d(a) = -a**3 + 17*a**2 - 6*a - 10. Give d(16).
150
Let w(p) = 3*p**3 + 34*p**2 + 10*p - 29. Give w(-11).
-18
Let b(v) = -2*v - 1288. Give b(-22).
-1244
Let y(u) = 2*u**3 - 14*u**2 + 29*u - 22. Determine y(4).
-2
Let f(h) = h**3 + 26*h**2 + 58*h + 330. Determine f(-24).
90
Let i(n) = n**3 + 9*n**2 - n - 25. What is i(-9)?
-16
Let r(x) = -4991*x + 74871. Determine r(15).
6
Let n(u) = -u**3 + 26*u**2 - 85*u + 10. What is n(3)?
-38
Let k(z) = 3*z**2 + 484*z - 2883. Determine k(6).
129
Let s(x) = 3*x**2 + 116*x + 1098. Calculate s(-17).
-7
Let d(i) = i**2 + 34*i + 114. Determine d(-33).
81
Let i(o) = 12*o**2 + 350*o + 32. Give i(-29).
-26
Let d(h) = h**3 - 171*h**2 + 1441*h + 2757. Calculate d(162).
3
Let g(j) = 2*j**2 - 129*j - 14213. Calculate g(-58).
-3
Let w(k) = 140*k + 97. Calculate w(2).
377
Let q(u) = -u**2 + 247*u + 2548. Calculate q(-10).
-22
Let o(c) = c**2 - 16*c + 36. Give o(7).
-27
Let t(z) = 34*z - 437. Give t(15).
73
Let y(h) = 2*h**3 - 108*h**2 + 109*h - 75. Calculate y(53).
84
Let a(p) = 512*p - 2045. What is a(4)?
3
Let d(c) = -2*c**2 + 56*c + 326. Give d(33).
-4
Let x(z) = 13*z**3 - 3*z**2 + 3*z - 9. What is x(1)?
4
Let m(q) = 46*q + 23. What is m(5)?
253
Let d(m) = 2*m**3 - m**2 - 7*m - 8. Calculate d(5).
182
Let y(r) = -r**2 - 9*r + 366. What is y(14)?
44
Let i(d) = -72*d**2 + 5*d + 5. Calculate i(-1).
-72
Let f(g) = -57*g - 5. Calculate f(0).
-5
Let y(w) = -39*w + 133. Give y(1).
94
Let b(j) = -5*j**3 - 27*j**2 + 18*j + 22. Calculate b(-6).
22
Let c(r) = -6*r**2 + 43*r - 8. Give c(7).
-1
Let t(i) = -i**3 + 76*i**2 + 9*i - 698. Calculate t(76).
-14
Let g(b) = b**2 - 156*b + 4557. Give g(39).
-6
Let x(y) = -216*y + 19. What is x(0)?
19
Let p(v) = 3*v**3 - 22*v**2 - 2*v + 6. Calculate p(7).
-57
Let q(m) = -2*m**3 - 47*m**2 - 248*m - 6. Calculate q(-8).
-6
Let l(z) = z**3 - 45*z**2 - 207*z - 2155. Determine l(50).
-5
Let j(g) = 242*g - 1711. Give j(7).
-17
Let s(c) = 915*c + 4581. Determine s(-5).
6
Let d(i) = -i**2 + 67*i - 256. Calculate d(63).
-4
Let a(m) = 7*m**3 - 112*m**2 + 9*m - 140. Determine a(16).
4
Let u(l) = -31*l**2 - 1339*l - 219. Calculate u(-43).
39
Let b(s) = -33*s + 3210. Give b(100).
-90
Let t(l) = 19*l**2 + 50*l - 29. Determine t(-3).
-8
Let i(g) = g**3 + 20*g**2 + 9*g + 195. Give i(-20).
15
Let i(u) = -25*u + 664. Calculate i(24).
64
Let d(u) = 2*u**2 - 14*u + 69. Determine d(12).
189
Let z(w) = -w**2 + 138*w - 1015. Determine z(8).
25
Let p(s) = 13*s - 508. Calculate p(39).
-1
Let q(l) = 39*l - 313. Calculate q(8).
-1
Let u(o) = -133*o**3 - 3*o - 3. Give u(-1).
133
Let y(g) = g**3 - 22*g**2 - 89*g + 1967. Calculate y(22).
9
Let z(i) = 2*i**2 + 14*i - 10. Give z(-9).
26
Let h(r) = -4*r**2 - 523*r + 105. Give h(-131).
-26
Let v(w) = -1533*w + 13790. Determine v(9).
-7
Let m(o) = -o**3 - 6*o - 1. Determine m(0).
-1
Let x(b) = -b**3 + 2*b**2 + 9*b - 13. Determine x(-3).
5
Let g(w) = w + 87. Determine g(-83).
4
Let f(p) = -56*p + 301. What is f(4)?
77
Let r(h) = h**3 - 35*h**2 - 48*h + 307. What is r(36)?
-125
Let q(v) = 3*v**2 + 179*v - 607. What is q(-63)?
23
Let o(f) = 3*f**2 + 216*f - 215. Give o(1).
4
Let t(x) = -4*x**3 + 219*x**2 + 53*x + 100. Calculate t(55).
-10
Let y(k) = -13705*k - 27419. Calculate y(-2).
-9
Let l(q) = 705*q**2 - 4229*q - 8. Calculate l(6).
-2
Let i(z) = 2*z**2 - 2*z + 19. Determine i(7).
103
Let j(g) = -g**2 + 43*g - 304. Give j(33).
26
Let l(c) = 545*c + 3811. Calculate l(-7).
-4
Let n(t) = t**3 - 34*t**2 - 75*t + 97. Determine n(36).
-11
Let c(l) = -11*l**3 - 16*l**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
10, k, -2
Suppose -24*r + 274 = -25*r. Let h = -266 - r. Put 3, h, 1 in ascending order.
1, 3, h
Let a be 4*(-2 + 110/54). Let o = 35/54 - a. Let w(i) = -1753*i - 7005. Let d be w(-4). Sort d, -1, o, -0.1 in decreasing order.
d, o, -0.1, -1
Let g(h) = -4*h**3 + 55*h**2 + 11*h + 46. Let r be g(14). Sort 16, r, 135, 5 in ascending order.
r, 5, 16, 135
Suppose -s = -2*u, 2*u = -u - 3*s - 9. Let o = -1092.87 + 1093. Sort u, 4, o, 0.5 in descending order.
4, 0.5, o, u
Let i(l) = -l**2 + 7*l + 3. Let f be i(8). Let o = 0 - f. Let r(j) = -11*j - 172. Let v be r(-16). Sort 6, v, o.
v, o, 6
Let i = -1439.08 - -1438.7. Put i, -1, 0.7 in decreasing order.
0.7, i, -1
Let n = 7.4 - 4.4. Let g be (79/(-27) - -3)*3. Let p = 69 + -70. Put p, n, 1/6, g in descending order.
n, g, 1/6, p
Let h = 88.63 - -10.57. Let m = -94 + h. Let t = m - 5.02. Sort t, -2/9, -1/4, -1/2.
-1/2, -1/4, -2/9, t
Let v be 91/273*(-18)/33. Let t be 236/(-581) + 12/42. Let h = t - 282/415. Sort 0.1, h, v, 0.01.
h, v, 0.01, 0.1
Let b = 73 - 76.3. Let t = b + 6.3. Let o = 4.99 + 0.01. Sort -2/3, o, t in ascending order.
-2/3, t, o
Let u = -23029 - -23029.5. Put 13, 7/5, u in ascending order.
u, 7/5, 13
Suppose 144*a = -304 - 216 + 88. Put -4, 5, 1, a in decreasing order.
5, 1, a, -4
Let u = 38/9 + -476/117. Let c = -258 + 259.072. Let o = c + -0.072. Put o, -0.1, u, -1/8 in decreasing order.
o, u, -0.1, -1/8
Let n(k) = -k**3 - 15*k**2 - 17*k - 20. Let l be n(-14). Suppose 0 = -8*w + 86 - l. Let m be 12/21*-4 + w/28. Sort 3, m, -10 in increasing order.
-10, m, 3
Suppose 10*l = 18*l - 32. Let z be -7 - (-8 - (-2)/4*l). Sort -5, -4, z, 5 in descending order.
5, z, -4, -5
Let n = 971 + -971.617. Let t = 0.117 + n. Put 0, t, 4 in decreasing order.
4, 0, t
Suppose -1 = 5*y + 4. Let o be y*4 + (-16)/8. Let l be ((-8)/(-3))/((-4)/o). Sort 5, -5, l in descending order.
5, l, -5
Let f = -728.194 - -732. Let q = -0.806 + f. Let r = 1 + -1.4. Sort q, 2/17, r in ascending order.
r, 2/17, q
Let m be -12*((-42)/7)/(-12). Put 0, -8, m, 3 in descending order.
3, 0, m, -8
Let r be (2/3)/(92/24 + -4). Let h be 3145/3825 - 4/18. Sort -2/13, -0.3, r, h in ascending order.
r, -0.3, -2/13, h
Let q be ((-22)/132)/((-1)/(-2)). Put 1, -0.1, 10, q in decreasing order.
10, 1, -0.1, q
Let b be (813/1626)/(-1*1/(-10)). Let x = -16 - -8. Let k = -5 - x. Sort b, -2, k, 4.
-2, k, 4, b
Suppose -36*c - 9*c + 1350 = 0. Let a be (3/2)/(5*3/c). Sort -1, -20, 1, a in decreasing order.
a, 1, -1, -20
Let i = -12804 + 12799. Put 5, -9, i, -33 in ascending order.
-33, -9, i, 5
Let x = -1999 - -1998. Put 12, -4, x, -2 in decreasing order.
12, x, -2, -4
Let l be (-15)/(150/4) + (-12)/(-5). Let v be (11 + -4 - l) + 0. Let d(n) = n**2 + 15*n + 23. Let g be d(-13). Put 2, g, v in decreasing order.
v, 2, g
Suppose -4*y = -d - y + 11, -2*d - 2*y - 2 = 0. Let v(a) = a + 18. Let i be v(-14). Let h be i/2 + ((-33)/3 - -6). Put d, 1, -4, h in ascending order.
-4, h, 1, d
Let v = -144 - -129. Let u be (-2)/(-4)*6/(-18). Sort v, -0.2, u in descending order.
u, -0.2, v
Suppose 60*g - 3 = 63*g. Suppose 0*i + 4 = -i - 2*a, -33 = 5*i - 3*a. Sort 8, g, i in ascending order.
i, g, 8
Let h be 5 - 246/45 - 2/(-3). Sort h, 0.3, -305, 5/2, -7 in decreasing order.
5/2, 0.3, h, -7, -305
Suppose 8*b + 16 = 4*b. Let n be (b/(-16))/((-11)/(-132)). Suppose 0 = z + 3 - 4. Put z, n, 2 in descending order.
n, 2, z
Let u be -1*((-7 - -3) + 13). Let r = u + 11. Suppose g = -4*g + 3*g. Sort r, g, -2, 4 in descending order.
4, r, g, -2
Let k = -373 + 373. Let h = -0.31 - -0.01. Sort h, 1/2, k, -4 in descending order.
1/2, k, h, -4
Let x be (-1 - 7/(-4)) + 273/52. Let c(k) = -k**2 - k + 44. Let n be c(x). Let b = -77 + 75. Sort 0, b, 5, n in increasing order.
b, 0, n, 5
Let y(g) = -526*g + 3160. Let o be y(6). Sort 6, 3, o, 13 in decreasing order.
13, 6, o, 3
Suppose 62 + 6 = -n. Let v = n - -70. Let u be (-11)/(-3) + v/6. Put u, -8, -3 in decreasing order.
u, -3, -8
Let q = -1080956/77 - -98270/7. Let d(c) = -2*c**2 - 4*c - 2. Let a be d(-2). Put 0.04, a, q in ascending order.
a, 0.04, q
Let c = -22867/11 - -2079. Put c, -7, -4, 2, 1/7 in increasing order.
-7, -4, 1/7, c, 2
Let b = 22 + -21.6. Suppose 3*r + 335 + 229 = 0. Let s = r - -9963/53. Put 0.5, s, b in increasing order.
s, b, 0.5
Let t = -218.953 + 219. Let h = -1.147 + t. Sort h, -1/8, -4 in increasing order.
-4, h, -1/8
Suppose -3*a = n + 7 - 1, 0 = -4*n + 2*a - 52. Put -3, 16, n, -1 in decreasing order.
16, -1, -3, n
Let w = -8464 + 8408. Sort -5, 3, w in ascending order.
w, -5, 3
Let r(n) = -n**2 + 6*n. Let g be r(6). Let p = -570 + 566. Sort 1, g, -10, p.
-10, p, g, 1
Let a = -218 + 219. Let x = 0.1 - -0.2. Sort x, a, 6/5, -3/2 in increasing order.
-3/2, x, a, 6/5
Suppose -27*k + 187 = -r - 29*k, 5*r + 2*k = -927. Sort 2, -3, r in increasing order.
r, -3, 2
Suppose 0 = 4*l + 5*k + 15, -l - k - 3 - 1 = 0. Let v = -265.9 + 124.7. Let q = v - -141. Sort q, 3, l in decreasing order.
3, q, l
Let j(f) = -f**3 - 8*f**2 + 13*f - 71. Let i be j(-10). Sort 48, i, -2, 10 in decreasing order.
48, 10, i, -2
Let b(w) be the first derivative of -34*w**3/3 - 3*w**2/2 + 3*w + 93. Let n be b(1). Sort n, 4, 3 in increasing order.
n, 3, 4
Let v be (-124)/((3/27)/((-3)/6)). Let a = v - 566. Suppose 0 = -5*l + 2*r + 21, 0*r = -l + 4*r - 3. Sort a, l, -3 in descending order.
l, -3, a
Suppose 0 = 54*x + 3299 + 3181. Sort -5, 0, x in descending order.
0, -5, x
Let q(m) = 5*m - 18. Let y be q(5). Let w be 100/(-140) - 2/y. Let p = 1 - 0. Sort w, p, 5 in decreasing order.
5, p, w
Let j(c) = -c**3 - 5*c**2 + 23*c - 7. Let s be j(-8). Let k(x) = -2*x**3 + 5*x**2 - 3*x + 1. Let l be k(s). Sort -4, -5, 10, l in increasing order.
-5, -4, l, 10
Let g be (-16)/(-105) + (-2)/7. Let a = 0.162 + 0.028. Let r = a - -0.31. Put 2, g, r in decreasing order.
2, r, g
Let y = 3 + -2. Suppose 4*r = -3*q + 3 - 27, 0 = 3*r + 7*q + 75. Put r, 4, y, -10 in decreasing order.
4, r, y, -10
Let f = 0 - 0. Suppose 7*z - 11*z - q = 1094, 0 = 2*z + 2*q + 544. Let j = -1374/5 - z. Put -0.7, f, j in decreasing order.
f, -0.7, j
Suppose -137*k - 150 = -212*k. Let j(p) = -p - 8. Let y be j(-12). Sort y, -2, k, 7 in decreasing order.
7, y, k, -2
Let q = 24499 + -24498.35. Sort -8/7, q, 2 in increasing order.
-8/7, q, 2
Let h be 1 - (1 + (-4)/(-6)). Let l = 0.9 - -123.1. Let u = l - 119. Sort 1/3, u, -0.1, h in increasing order.
h, -0.1, 1/3, u
Let i = -7050 - -63484/9. Sort -0.4, -2, i, 0.4 in ascending order.
-2, -0.4, 0.4, i
Let r = 529/1251 - -3/139. Let w be ((-1400)/12)/(-25)*2/(-7). Sort r, w, 4, -13 in ascending order.
-13, w, r, 4
Let j be 70/24 + (-12)/27*3. Let q = 11/6 - j. Sort q, 0.05, -5, -4.
-5, -4, 0.05, q
Suppose -6*u + 2*u - 20 = 0. Suppose -2*o - 17 = -7*m + 6*m, -5*m = -o - 85. Let b = 21 - m. Sort 2, u, b in decreasing order.
b, 2, u
Suppose -299*h = -320*h - 84. Put h, 338, -2 in descending order.
338, -2, h
Let y = -48551 - -48561. Suppose s = 1 + 3. Sort s, y, 3 in decreasing order.
y, s, 3
Let d = 74 - 69. Suppose 5*g - d*u + 14 = 69, -5*g - 5*u + 15 = 0. Let b be 3/(-2)*(3 + (-4)/(-12)). Sort g, 5, -3, b in ascending order.
b, -3, 5, g
Let p(i) = i**3 - 3*i**2 - 5*i - 22. Let c be p(5). Suppose 0 = c*k - k - 4, -2*f + 4*k - 8 = 0. Sort 5, f, -16 in increasing order.
-16, f, 5
Let a = 1171 - 1170.8. Let c = 0.74 - -0.16. Let p = c + 0.1. Put 12, a, p in descending order.
12, p, a
Let b be (2/6*9)/3. Suppose 4*j - 3*w = 5, 2*j - w + 0 = b. Let c = 4 - j. Put 2/9, 0.5, c in increasing order.
2/9, 0.5, c
Let g(d) be the third derivative of d**4/24 + 10*d**3/3 + 72*d**2. Let z(f) = -f - 11. Let j be z(9). Let x be g(j). Put -15, x, -4 in decreasing order.
x, -4, -15
Let g be (64 + -3)/(1/7). Let k = g + -426. Put k, 4, 13, 2 in decreasing order.
13, 4, 2, k
Let a(v) = v - 4. Let g be a(4). Put g, 4, 59 in decreasing order.
59, 4, g
Let j(g) = -168*g - 336. Let a be j(-2). Suppose 0*i = 2*i - 40. Suppose -6*y + i = -2*y. Sort y, a, -1, -4 in increasing order.
-4, -1, a, y
Let w(c) = c**3 + 11*c**2 - 22*c + 4. Let m be w(-12). Sort m, 5, -2 in descending order.
m, 5, -2
Let f = -10742.5 + 10743. Sort -0.02, -0.112, f.
-0.112, -0.02, f
Let d = 18.9 - 23.9. Sort -15/8, 4, d, 0.3.
d, -15/8, 0.3, 4
Let r be 3/(6/48 - (-33)/24). Suppose 0 = r*y
|
{
"pile_set_name": "DM Mathematics"
}
|
is the tens digit of a?
3
Suppose a = -a + 480. Suppose 2*x - 41 = 9. Suppose -4*y + 310 = 2*h, 5*h + a + x = 3*y. What is the tens digit of y?
8
What is the tens digit of (17/5)/((-6)/(-30180))?
0
Let h(v) = -v**3 + v**2 + 2*v + 486. Let p be h(0). Suppose 3*u - 21 - p = 0. What is the units digit of u?
9
Let a(i) = -i**2 - 10*i + 12. Let o be a(-11). Let w be (1 + o)/((-11)/(-22)). Suppose -10*c + w*c = -468. What is the tens digit of c?
7
Let s = -89 - -91. Suppose 640 = 3*i + s*z - 0*z, 4*z - 638 = -3*i. What is the units digit of i?
4
Let l = -230 - -250. What is the units digit of ((-456)/l)/((-24)/540)?
3
Let y = 10610 - 5106. What is the units digit of y?
4
Let w(t) = -3*t**2 + 18*t - 47*t + t**3 - 3 - 4 + 22*t. Let h be w(5). What is the units digit of 154/h - (-3)/(-12)?
9
Let q(z) be the first derivative of -25*z**2/2 - 49*z - 14. What is the hundreds digit of q(-43)?
0
Let b = 79703 + -11734. What is the ten thousands digit of b?
6
Let x = 339 - 339. Suppose -b = -4, x = -4*h - 5*b + 1624 + 156. What is the units digit of h?
0
Suppose 9*j + 4*x = 4*j - 380, 2*x + 310 = -4*j. Let r = 210 + j. What is the units digit of r?
0
Let g(m) = -154*m + 3. Let q(r) = 2*r + 19. Let f be q(-10). What is the hundreds digit of g(f)?
1
Suppose 0 = -4*h + 3*l + 15, l = -8*h + 3*h - 5. Suppose -9*k + 11*k - 734 = h. What is the units digit of k?
7
Let n(x) = 41*x**2 - 14*x - 14. Suppose 9*j - 20*j - 22 = 0. What is the tens digit of n(j)?
7
Suppose -1 = -4*b + 11. What is the hundreds digit of b/(-6) - 1875/(-6)?
3
Suppose 50*f - 8759 = 40*f + 25391. What is the hundreds digit of f?
4
Let i(j) = -j**2 + 35*j - 97. Let f be i(3). What is the units digit of (-451 + (4 - f))/(-1)?
6
Let l = 6 - 4. Let z(t) = 11*t**2 + 6*t + 2. Let q(p) = 3*p. Let o(n) = -3*q(n) + z(n). What is the tens digit of o(l)?
4
Let n(w) = w**2 + 17*w - 26. Let r be n(-20). Suppose 0 = 5*i + r - 439. What is the units digit of i?
1
What is the ten thousands digit of (600/16)/75 + 23141/2?
1
Let v = 1238 - 685. Let z = v - -290. What is the tens digit of z?
4
Let w(d) = -d**3 - d**2 + 6*d + 5. Let z = 22 - 25. Let r be w(z). What is the units digit of 3/(-15) + 891/r?
8
Let x(z) = 7*z**3 + 59*z**2 + 64*z - 199. Let i(k) = 4*k**3 + 30*k**2 + 33*k - 100. Let g(d) = -5*i(d) + 3*x(d). What is the hundreds digit of g(-25)?
4
Let j(q) = 49*q + 9748. What is the hundreds digit of j(29)?
1
Suppose -127*j = -20*j - 1287852. What is the thousands digit of j?
2
Let k(y) = y**3 + 27*y**2 - 19*y - 77. Let o be k(-13). Suppose 2*s + o = 2*g, 4*g - s - 5120 = -57. What is the hundreds digit of g?
2
Let y(x) = -x**2 - 13*x + 66. Let r(w) = -2*w**2 - 26*w + 132. Let g(o) = -3*r(o) + 5*y(o). What is the units digit of g(-21)?
2
Let r = -2821 + 4388. What is the units digit of r?
7
Let i(h) be the third derivative of -h**5/30 + 5*h**4/6 - 7*h**3/2 + 3*h**2 - 5. What is the units digit of i(8)?
1
Suppose 21*c + 4278 = 20*c + 5*g, 8563 = -2*c + 3*g. Let n = -2898 - c. What is the thousands digit of n?
1
Let z = 1023 - 269. What is the hundreds digit of z?
7
Let n = 14591 - 5328. What is the thousands digit of n?
9
Let i(n) = -2*n**3 + 46*n**2 + 3*n - 8. What is the hundreds digit of i(7)?
5
Let k = -413 - -650. What is the hundreds digit of k?
2
Suppose 171*h - 24 = 179*h. What is the units digit of ((-1)/2 - 1)*134/h?
7
Suppose -s - 8*n + 25554 = 7751, 5*n = -4*s + 71023. What is the thousands digit of s?
7
Let h be ((-4)/8)/(3*1/204). Let y(z) = z**2 + 14*z + 32. What is the hundreds digit of y(h)?
7
Let d(n) = 39*n**3 - 8*n**2 - 82*n + 598. What is the ten thousands digit of d(7)?
1
Let v(m) = -8*m - 102. Let l be v(-13). What is the units digit of (-6 - -289) + -2 + l?
3
Suppose 49*w - 47971 = 38*w. What is the thousands digit of w?
4
Suppose -5*i - 15 - 10 = 0. Let a(p) = -42*p + 49. What is the hundreds digit of a(i)?
2
Let v = 31 + -22. Suppose -v*t + 615 = -1068. Let i = -25 + t. What is the hundreds digit of i?
1
Suppose -12*g = -11*g - 1, -11 = 4*s - 3*g. What is the hundreds digit of 151 + s + 3 + (-5 - -6)?
1
Let m = -42 - -75. Suppose 5*t - 2*f = -140, 5*t = -3*f - 107 - m. Let w = 2 - t. What is the tens digit of w?
3
Let q(y) = 3*y**2 - 39*y + 458. What is the units digit of q(34)?
0
Let b(r) = -3*r + 4*r + r**2 + 264 - 292. What is the tens digit of b(-7)?
1
Suppose 5*h = -4*h + 18. Let s be (-5*4/(-60))/(h/24). Suppose -x + 237 = s*x - 2*u, 0 = 2*x + 2*u - 92. What is the units digit of x?
7
Let n(l) = l**2 - 23*l + 84. Let u be n(19). Let b(z) be the second derivative of z**5/20 - 2*z**4/3 + 3*z**3/2 - z**2/2 - z. What is the tens digit of b(u)?
7
What is the hundreds digit of 2*(-36158)/(-8) + ((-407)/22)/37?
0
Suppose 5*n + 5*g = 13847 + 66368, 3*g + 16019 = n. What is the tens digit of n?
3
Let c = 59189 - 41010. What is the ten thousands digit of c?
1
Let q be 4 + 2*2/(-4). Suppose -29*g + 30*g = q. Suppose 2*r - 4*v - v - 428 = 0, g*r + 3*v = 642. What is the hundreds digit of r?
2
Let r = -56377 - -88497. What is the units digit of r?
0
Suppose -15*i - 25800 = 19*i - 42*i. What is the hundreds digit of i?
2
Suppose -u = 3*n - 83, -3*u + 231 = -4*n + 47. Let g = -15 + u. What is the units digit of g?
3
Let x = 70 + -75. Let k be -1*2/x + 83/5. Suppose 10*w - k*w = -651. What is the tens digit of w?
9
Let h(v) = v**3 - v**2 - 24*v + 25. Let p be h(10). Let a = -266 + p. What is the hundreds digit of a?
4
What is the tens digit of (-8)/(-18) + -5*(-25518)/270?
7
Suppose 0 = 3*r - 8*r - 25, 4*f = -2*r - 50. Let b = -3 - f. Suppose 0*w - b*w = -175. What is the tens digit of w?
2
Let c = 81272 - 44555. What is the thousands digit of c?
6
Suppose -29 + 14 = -3*h. Suppose 67 = -f + 5*s - 82, -h*s = -2*f - 318. Let c = 345 + f. What is the units digit of c?
6
Let d = 28 + -24. Let h be (-7 - -9)/((-1)/d). Let r(z) = z**3 + 9*z**2 + 4*z + 2. What is the units digit of r(h)?
4
What is the tens digit of (-4 + 664/(-12))*-30?
8
Let x = 11457 - 469. What is the ten thousands digit of x?
1
Let l be 8/((-32)/(-9836)) + (-5)/1. Suppose 2*g = 5*g - 9, -3*d + l = g. What is the hundreds digit of d?
8
Let l be 4*(7 - (3 + 1)). Suppose -5*g = 16*f - l*f - 2257, -2*f + 1148 = -4*g. What is the hundreds digit of f?
5
Suppose -25 = -3*b + 5*n, 5*b + 5*n = -14 - 11. Suppose b = -4*r + 6*r - 618. What is the tens digit of r?
0
Let g be (-8)/6*6/(-4). What is the units digit of (g + (-42)/9)*(-1218)/8?
6
Suppose -3*q - 12*h + 12965 = -7*h, -q + h + 4311 = 0. What is the thousands digit of q?
4
What is the hundreds digit of ((-4)/5 + (-24084)/180)*-15?
0
Let z = -16039 - -30233. What is the thousands digit of z?
4
Suppose 0 = d - 3*m - 31463, 4*d - d = -5*m + 94473. What is the units digit of d?
1
Suppose 0 + 128 = 4*y. Suppose 5*j = 3 + y. Let s = j + 4. What is the tens digit of s?
1
Let y be -8 + -446 + -10 + 2. Let d be (-3 + 2)*(181 - 0). Let x = d - y. What is the tens digit of x?
8
Let x(h) be the second derivative of -31*h**4/12 + h**3/3 - h**2 - 6*h. Let a be x(1). What is the units digit of 2 + (-5 - -3) - a?
1
Suppose 143*b + 49150 = 153*b. What is the hundreds digit of b?
9
Let u = -37546 + 54246. What is the tens digit of u?
0
What is the tens digit of 8/(-14)*(-71065 - -120)?
4
Let g = 22023 - 8951. What is the ten thousands digit of g?
1
Let v = 6903 - 3593. What is the thousands digit of v?
3
Let y(h) = h**3 - 13*h**2 - 23*h - 12. Let q be y(23). Let w = q - 3307. Suppose 428 + w = 10*j. What is the tens digit of j?
8
Suppose s + 997 = 2*x, 4*x - x = 3. Let t = s + 1112. What is the hundreds digit of t?
1
Let l(n) = -32*n**3 - 61*n**2 - 16*n + 23. What is the tens digit of l(-9)?
5
Suppose -4*j = -9*j + 375. Let k = j + 14. Suppose 2*p = 25 + k. What is the tens digit of p?
5
Let m be 226/8 + 19/(-76). Suppose m = 4*o + 96. Let a(n) = 2*n**2 + 25*n + 10. What is the tens digit of a(o)?
6
Suppose -8*v + 162 = 18. Let d be 3/v*34 + 2/6. Suppose -100 = -d*c + 116. What is the units digit of c?
6
Let s = 3318 + -2986. What is the units digit of s?
2
Let x(w) = 5*w**2 + 4*w**2 + 10*w**2 + 3 - 22*w**2 - w + 107*w**3. What is the tens digit of x(1)?
0
Let x be (-4)/6 + (-957)/(-99). Suppose -4*y + 3*c + 1156 = 0, x*c - 12*c = 3*y - 867. What is the units digit of y?
9
Suppose 0 = r - 4*g +
|
{
"pile_set_name": "DM Mathematics"
}
|
t m(o) = -9*o**3 - 2*o**2. Let p(w) = 69*w - 347. Let i be p(5). Let y(f) = -91*f**3 - 21*f**2. Determine i*y(b) + 21*m(b).
-7*b**3
Let y(m) = m**2 + 2*m + 22. Let o(q) = -q - 3. What is 14*o(r) + 2*y(r)?
2*r**2 - 10*r + 2
Let w(c) = -7*c**3 + 5*c**2 - 45*c + 30. Let z(j) = j**3 - j**2 - 5. What is -w(f) - 6*z(f)?
f**3 + f**2 + 45*f
Let h(o) = -5*o. Let j(x) = 3*x - 4. Let b be j(2). Let r(d) = 2 + d**2 - b + 3*d + d. What is -2*h(l) - 3*r(l)?
-3*l**2 - 2*l
Suppose 2*o = 10, 5*l + 0*l + 4*o = 35. Let f(h) = -5*h + 2 + l - 5. Let w(a) be the first derivative of 8*a**2 - 1. Calculate -10*f(k) - 3*w(k).
2*k
Let o(u) = -3*u + 1. Let x(y) = y**3 - y**2 - 6*y + 2. Let z(p) = -2*o(p) + x(p). Let m(f) = -f**3 + 5*f**2 + 1. Calculate m(t) + 4*z(t).
3*t**3 + t**2 + 1
Let t(s) be the first derivative of -s**3/3 - 5*s**2/2 - 5*s + 62. Let x(c) = -3*c**2 - 18*c - 18. Give 18*t(b) - 5*x(b).
-3*b**2
Let x(w) = -2*w**3 + w**2. Let u(a) = -11. Let l(k) = -4. Let n(h) = -3*l(h) + u(h). Calculate -2*n(c) - x(c).
2*c**3 - c**2 - 2
Let y(d) = 6*d**3 - 4*d**2 - 4*d + 4. Let g(x) = 7*x**3 - 5*x**2 - 5*x + 5. Let m(n) = 4*n**2 + 61*n + 20. Let j be m(-15). Give j*y(w) - 4*g(w).
2*w**3
Suppose 52*c + 114 = 33*c. Let j(g) = 259*g**2 + 77*g + 77. Let k(i) = 20*i**2 + 6*i + 6. Determine c*j(o) + 77*k(o).
-14*o**2
Suppose -12*j = -7*j - 265. Let i(z) = 30 - z - j + 24. Let s(a) = -a**2 + a + 1. Give i(h) - s(h).
h**2 - 2*h
Let c(n) = 3*n - 2. Suppose -3*w = -7*w - 36. Let a(h) = 76*h - 40. Let u(g) = -15*g + 8. Let f(y) = -2*a(y) - 11*u(y). Calculate w*c(j) + 2*f(j).
-j + 2
Suppose 13 = -2*o - 13. Let m = o + 12. Let l(x) = 3*x**3 - x**2 + x + 1. Let y(s) = -s**3 + s**2 - s - 1. What is m*y(n) - l(n)?
-2*n**3
Let i(y) = 2*y. Let c(k) = 2*k**2 + 9*k + 27. Give c(h) - 4*i(h).
2*h**2 + h + 27
Let m(a) = -127687*a + 1221. Let y(n) = 629*n - 6. Give -2*m(i) - 407*y(i).
-629*i
Let i be -1 - (-5 + (5 - 3)). Let s(l) = -2*l + 2*l + 4*l - l**2 + 5*l**3 + i + 2. Let x(u) = -u**3 - u - 1. Let j = -1 + 2. Calculate j*s(o) + 4*x(o).
o**3 - o**2
Suppose -p + 2 = -2*p. Let f(v) = -6 + v - 2*v**2 + 5*v - 6*v. Let n(t) = t**2 + 3. Give p*f(k) - 5*n(k).
-k**2 - 3
Let m(i) = 460*i**3 - 575*i + 575. Let u(t) = -t**3 + t - 1. Calculate -m(o) - 575*u(o).
115*o**3
Let n(q) = -3*q**2 - q + 10. Suppose 31*w + 107 + 110 = 0. Let o(d) = 2*d**2 + d - 7. Calculate w*o(y) - 5*n(y).
y**2 - 2*y - 1
Let f(w) = -2*w**2 + 5. Let u(a) = a**2 - 1. Suppose -4*z = p + 14, -2*p - 11 + 7 = 2*z. Let n be 2*-5*(p - 6/4). What is n*u(b) - f(b)?
-3*b**2
Let b(y) = -2*y - 4. Let k = -11 - -6. Let w(r) = -3*r - 7. Let t be (30/(-35))/((-2)/7)*1. Give k*b(s) + t*w(s).
s - 1
Let r(q) = -31*q - 2. Let k(u) = -6*u. Calculate -4*k(a) + r(a).
-7*a - 2
Let x(s) = -s**3 - 2*s + 1. Let q(p) = -2*p - 4. Let h be q(-3). Let v(m) = 2*m + 0*m**3 - 6 + 0*m**2 + 5*m**3 - 2*m + 11*m - m**2. Calculate h*v(t) + 11*x(t).
-t**3 - 2*t**2 - 1
Let w(d) = -d**3 - 2*d**2 + 28*d - 2. Let b(k) = 3*k**3 + 7*k**2 - 86*k + 7. What is -6*b(x) - 21*w(x)?
3*x**3 - 72*x
Let m(t) = 2*t**2 + 2*t + 2. Let h be (-12)/(-2)*3/9. Let b(l) = l**2 + 16*l. Let q(i) = -3*i**2 + 11*i - 5. Let a(f) = b(f) - q(f). Calculate h*a(v) - 5*m(v).
-2*v**2
Let d(h) = -h - 1. Let p(j) = 0*j - 3*j - 10 + 7*j + 23 - 15. Calculate -2*d(t) + p(t).
6*t
Let b(u) = u**2 - u. Let c(t) = t**3 - 9*t**2 + 9*t - 1. Let s = -1467 + 1465. Give s*c(k) - 18*b(k).
-2*k**3 + 2
Let o(v) = -4 + 0 - 3*v**2 + 4. Let m(s) = -6*s**2. Let g be 4*7/((-21)/(-12)). Let w = 7 - g. Give w*o(l) + 4*m(l).
3*l**2
Suppose 3*s - 7*s + 40 = 0. Let n(w) = -s*w + 6 + 3*w + 5*w. Let c(x) = -1. What is 4*c(d) + n(d)?
-2*d + 2
Let n(a) = -7*a**3 + 9*a - 35. Let o(c) = 6*c**3 - 7*c + 36. Give 3*n(t) + 4*o(t).
3*t**3 - t + 39
Let v(q) = 13*q - 5. Let c be -31 - (72/56 - 4/14). Let p(y) = 84*y - 32. Determine c*v(i) + 5*p(i).
4*i
Let s(m) be the third derivative of m**6/40 - m**4/8 - m**3/3 + 74*m**2. Let c(n) = 4*n**3 + n**2 - 4*n - 3. Determine 2*c(y) - 3*s(y).
-y**3 + 2*y**2 + y
Let l(o) = 236*o**3 - 14*o**2 - 14*o - 14. Let z(u) = -79*u**3 + 5*u**2 + 5*u + 5. Determine -5*l(g) - 14*z(g).
-74*g**3
Let q(g) = -54*g - 4. Let v(z) = -164*z - 13. Calculate 14*q(u) - 4*v(u).
-100*u - 4
Let q(y) = 105*y**3 + 3*y**2 - 3*y + 4. Let f(w) = -w**3 + w**2 - w + 2. Give 3*f(z) - q(z).
-108*z**3 + 2
Let o(j) = -79*j**3 + 2*j**2 + 1. Let m(x) = -237*x**3 + 7*x**2 + 3. What is 2*m(l) - 7*o(l)?
79*l**3 - 1
Let z(o) = 32*o - 65. Let g be z(2). Let n(d) = 6*d**3 + 9*d. Let k(r) = -2*r - 1. Let y be k(4). Let t(m) = -m**3 - m. What is g*n(a) + y*t(a)?
3*a**3
Let u(p) = p**2 - 2*p**2 + 6*p**2 - 4*p**2 + 5*p - 6. Let i(n) = n**2 + 4*n - 5. What is -4*i(d) + 3*u(d)?
-d**2 - d + 2
Let q(z) = -172*z - 2. Let b(v) = -85*v. Give 5*b(p) - 2*q(p).
-81*p + 4
Let w(c) = -2*c**2 + c - 5. Suppose 5*s + 9 = h + s, 3*s = 3*h. Let q(j) = 2*j**2 - j + 4. Calculate h*q(g) - 2*w(g).
-2*g**2 + g - 2
Let f = 838 + -839. Let c(v) = v**2 - v + 1. Let r(p) = 3*p**2 - 7*p + 3. Calculate f*r(s) + 5*c(s).
2*s**2 + 2*s + 2
Let q(y) be the second derivative of -y**4/3 + y**3/3 - y**2/2 - 5*y + 28. Let v(t) = -4*t**2 + t - 1. Give 2*q(o) - 3*v(o).
4*o**2 + o + 1
Let k(v) = 3*v - 8*v + 2*v + v**3 + 3. Let c(x) = -x**3 - x**2 + 7*x - 7. Let b(h) = -h**3 + h**2. Let o(n) = b(n) + c(n). What is 5*k(l) + 2*o(l)?
l**3 - l + 1
Let s be 108 + 0 - (17 + -14). Suppose -a + s = 4*a. Let f(i) = 36*i - 21. Let x(j) = -7*j + 4. Give a*x(w) + 4*f(w).
-3*w
Let a(p) = 1. Let u(c) = -2*c**2 - 3*c + 3. Let t be (5/15*-3)/1. Suppose -f = k - 4, 5*f + 0*k = k + 20. Determine f*a(v) + t*u(v).
2*v**2 + 3*v + 1
Let k(t) = 7*t**3 + 15*t**2 + 5*t + 117. Let d(w) = -3*w**3 - 6*w**2 - 2*w - 59. Give 5*d(x) + 2*k(x).
-x**3 - 61
Let w = -640 + 629. Let z(q) = -4*q**2 + 1. Let h(g) = -9*g**2 + 2. Determine w*z(j) + 6*h(j).
-10*j**2 + 1
Let y(g) = -9*g - 5. Let v be (-25)/(-5) + (-5 + 15 - 13). Let f(t) = -4*t - 3. Determine v*y(c) - 5*f(c).
2*c + 5
Let m be (-1)/((-2)/(-22))*1. Let t = 6 + m. Let l = -11 + 18. Let f(k) = 4*k**2 - 9*k + 5. Let v(z) = 6*z**2 - 13*z + 7. Give l*f(o) + t*v(o).
-2*o**2 + 2*o
Let n(m) = 6*m**2 - 3*m - 6. Let d(h) = -23*h**2 + 2*h + 11. Let b(o) = 22*o**2 - 3*o - 12. Let l(i) = 6*b(i) + 5*d(i). Determine 3*l(x) - 8*n(x).
3*x**2 - 3
Let s(i) = -26*i - 16. Let z(a) = 8*a + 5. Determine -2*s(j) - 7*z(j).
-4*j - 3
Let o(y) = -5*y**2 - 41*y. Let d(h) = -14*h**2 - 122*h. Give -4*d(p) + 11*o(p).
p**2 + 37*p
Let q(a) = -11*a**3 + 11*a - 8. Let t(d) = -10*d**3 + 10*d - 7. Calculate -6*q(l) + 7*t(l).
-4*l**3 + 4*l - 1
Let p(q) = 2*q**3 - q + 9. Let b(g) = -2*g**3 + g**2 + g - 8. Calculate -4*b(m) - 3*p(m).
2*m**3 - 4*m**2 - m + 5
Let m(i) be the second derivative of -3*i**5/20 + 11*i**4/12 - 3*i**2 + 2*i - 201. Let u(s) = -s**3 + 4*s**2 - 2. What is 6*m(k) - 17*u(k)?
-k**3 - 2*k**2 - 2
Let q(j) = 2*j + 1. Suppose -4*o + 3*o - w - 3 = 0, -3*w - 7 = 4*o. Suppose o = 5*m - 18. Let l = -8 + m. Let h(k) = 2*k + 1. Give l*q(t) + 5*h(t).
2*t + 1
Let i(q) = 3*q**2 + q + 2. Let x(s) = -s - 1. Let m be (-4)/((-24)/2)*(6 + 3). Suppose -2 = m*a + 4. Calculate a*x(l) - i(l).
-3*l**2 + l
Let k be (2 - (3 + 2))*1. Let q(n) = 0*n**3 + 34*n - 4*n**3 - 2*n**3 - 41*n - 5 - 5*n**3. Let i(t) = 6*t**3 + 4*t + 3. Calculate k*q(d) - 5*i(d).
3*d**3 + d
Let q(z) = 120*z - 14. Let l(w) = -121*w + 11. Calculate -5*l(d) - 4*q(d).
125*d + 1
Let g(k) be the third derivative of -4*k**5/15 + k**4/6 - 2*k**3/3 - 581*k**2. Let v(x) = -x**2 + x - 1. What is -g(r) + 4*v(r)?
12*r**2
Let o(k) = -54*k - 65. Let z be o(-1). Let b(i) = -5*i - 2. Let g be (2/(-3))/((-2)/(-6)). Let f(r) = -r**2 + 26*r + 11. Determine g*f(l) + z*b(l).
2*l**2 + 3*l
Let v(s) = s - 1. Let q(m) = -45*m + 16. Let p(a) = -20*a + 8. Let f(g) = -7*p(g) + 3*q(g). Determine f(t) - 3*v(t).
2*t - 5
Let g(a) = 3*a**2. Let h(c) = 6*c**2. Let n(v) = 5*v - 45. Let b be n(6). Give b*g(u) + 6*h(u).
-9*u**2
Let q(m) = 198*m**3 + 5*m**2. Let i(u) = -57616*u**3 - 1456*u**2. Calculate 5*i(y) + 1456*q(y).
208*y**3
Let j(v) = -3 - 21*v - 29*v + 53*v. Let b(c) = -8*c + 8. What is -4*b(q) - 11*j(q)?
-q + 1
Let h(c) = -29*c + 1. Suppose 5*v + 5*b - 104 = 3*b, -4*v + 3*b = -97. Let y(n) = 6*n + 3*n - v*n + 6*n. Determine -2*h(o) + 9*y(o).
-5*o - 2
Let s be 114
|
{
"pile_set_name": "DM Mathematics"
}
|
9). What is the third biggest value in j, 3, -3/4?
-3/4
Let w = 6280 + -6280.3. Which is the fifth smallest value? (a) 1 (b) 3/8 (c) w (d) 2 (e) 7/2
e
Let x = 0.5 + 8. Let l = x + -5.5. Which is the second smallest value? (a) l (b) -4 (c) -3 (d) -3/4
c
Let m = 20751 - 20751. What is the second smallest value in 0.4, 276, -1/14, m?
m
Let q = 20331 + -20334. Let h = -0.09 - 0.11. Which is the smallest value? (a) q (b) -2/21 (c) h (d) -2/23
a
Let s = -677.1 + 677. Let g = 0.038 + 0.262. What is the third smallest value in 139, g, s, -4/3?
g
Let o = 91.76 + -88. Let j = o + 0.24. Which is the smallest value? (a) -4/3 (b) j (c) -2 (d) -11
d
Let m = 142.1 + -142. Let t = -52.5 + 66. Let l = 14 - t. Which is the smallest value? (a) 7 (b) l (c) m
c
Suppose 272 = -5*y - x, -4*y - 4*x = x + 226. What is the biggest value in 2, y, -1?
2
Let m(u) = -u - 3. Let q be m(1). Let f = 519 - 516. Which is the third biggest value? (a) -0.13 (b) f (c) q
c
Let z = 276.164 + -0.164. Let r = -277.62 + z. What is the second smallest value in r, -4, 4?
r
Let q = 0.24 - -0.16. Let a be 4/(-3240)*(2 - (-2048)/(-12)). Let w = a - 2/243. What is the biggest value in w, 1, 4/3, q?
4/3
Let g = 195.2 + -194.7. Which is the second smallest value? (a) g (b) -5 (c) -0.1 (d) -1/4 (e) -1.7
e
Let q = 164.95 - 165. Suppose -f - 1 = 3. What is the smallest value in q, 3, f?
f
Suppose -3*h - 308 = -7*h. Let q = 13/322 - 223907/2898. Let b = q + h. What is the third smallest value in 2, 1, b?
2
Suppose 5*g + 2*z - 9 = 4*g, -10 = -4*g + 5*z. Let b = -2.972 + -1.028. What is the third biggest value in g, -1/2, b?
b
Let m = -24932.96 - -24137. Let w = 796 + m. What is the biggest value in w, 5, 4?
5
Let k = 585/358 + -24/179. What is the third smallest value in 0, -67, -2/9, k?
0
Let j be -1*(1 - 2) + 408/(-357). Which is the fourth smallest value? (a) 0.4 (b) 3/7 (c) -0.0669 (d) j
b
Suppose -2*f - 7*f = 0. Let x be ((-18)/(-12) + -2)*4/(-90). What is the second smallest value in -5, f, x?
f
Let n = -0.471 - -1.251. Which is the fourth smallest value? (a) -4 (b) n (c) 3 (d) -0.2
c
Suppose 5*j = 5*x - 3*x + 21, 0 = -3*x + 6. Let m(g) = -4*g**2 + 22*g - 8. Let n be m(j). Which is the biggest value? (a) n (b) 6 (c) 0.6
b
Let x(j) = -2*j**3 - j - 4*j**2 + 2*j**2 + 0*j**3. Let f be x(-1). Let n = 1802.97 + -1803. Which is the third smallest value? (a) f (b) n (c) -2/7
a
Let s = -8413.6 + 8414. Which is the third smallest value? (a) -0.4 (b) 19/3 (c) 1 (d) 3/4 (e) s
d
Let s = 3 + -3.2. Let r = -0.36476 + -0.03524. Which is the smallest value? (a) 2 (b) s (c) r (d) 0.033
c
Let w = 48 - 53.3. Let y = 5 + w. Let h = -1.7 + y. Which is the third smallest value? (a) h (b) 1 (c) 0.5 (d) -0.2
c
Let t = 0.08302 - -0.21698. Let s(g) = g**3 + 9*g**2 - 12*g - 25. Let v be s(-10). Which is the biggest value? (a) t (b) -2/5 (c) 1 (d) v
c
Let g = -309/5 + 185/3. Let v = -4 - -3.6. Let l = -247 + 246. What is the third smallest value in g, v, l, -0.5?
v
Let j = -5 - -1. Let p = -1230 + 1281. What is the smallest value in p, j, 2/3?
j
Let h = 5170/3 + -1723. What is the smallest value in 67, h, -1/2?
-1/2
Let w = 363 + -359. Suppose 0 = w*f + 6 + 26. Which is the fourth smallest value? (a) f (b) -1 (c) 0 (d) 0.1
d
Suppose 2 = -j - 18. What is the third smallest value in -1, 2/9, j?
2/9
Let p = -13156.6 - -13157. Let w = -1 - -1.1. Let n = w + -0.5. Which is the second smallest value? (a) -4/5 (b) p (c) n (d) -5
a
Let f be ((-4356)/25410)/((-5)/35*(5 + -2)). Let x be 2/2*(-1)/2. What is the third smallest value in x, -0.101, f?
f
Let g = 474324 - 474319. Let v = -1 + 1.5. Which is the second biggest value? (a) -0.1 (b) 24 (c) v (d) g
d
Let l be (290/35 - -1) + -11 + 2. Let n = 0.2 - -0.3. Which is the second biggest value? (a) l (b) -2 (c) n (d) 8
c
Let u(l) = -7*l**3 - 6*l + 18. Let m be u(3). Let q = -191 - m. Which is the third biggest value? (a) -11/3 (b) q (c) 2/7 (d) 5
b
Let j = 479 - 483. What is the smallest value in 0.3, 2/181, j?
j
Suppose -5*z = -5*v - 10, 3*v + 6*z = 2*z + 22. Let a be (-2)/6*(-6)/(-16). Let r = 11 - 11.4. What is the fourth smallest value in r, -4, a, v?
v
Let n = -8 + 8.3. Let o = 5409 - 5411. Let m = 0.7 + 0.8. What is the third smallest value in o, n, m?
m
Let k = 23397178/205 + -114132. Let m = k - -1/41. Which is the third smallest value? (a) m (b) 0 (c) -4
a
Suppose 415*y - 3*s = 411*y - 6, -5*y = 5*s - 10. Which is the second biggest value? (a) -3 (b) 1.2 (c) y (d) -5
c
Let o = 0.20754 + -35.90754. Which is the third biggest value? (a) -1/6 (b) 6 (c) -3 (d) o
c
Let c = -0.4 - -0.3. Let f be (-12)/(-42)*(-1176)/(-21) + -13. Let l = -0.3 + 0.35. What is the second biggest value in l, -3/7, f, c?
l
Suppose 66*t + 105 = 65*t. Let v be ((-3)/(-8))/(t/(-28)). Let d = 8.3 + -8. Which is the third smallest value? (a) v (b) 4 (c) d
b
Let m = -32530 - -32529.9. Let r = 0.7 + -0.2. What is the second biggest value in -6, m, r, -0.2?
m
Suppose 23 = -5*r - 22. Let x = 17 + r. Let j = -0.188 - -1.188. What is the biggest value in 0.3, x, 2/11, j?
x
Suppose g + 17 - 13 = 0. Let s = -1608 - -1605. What is the second smallest value in g, 24, -0.06, s?
s
Let p = -89.9 - -88.8. Which is the smallest value? (a) 2/29 (b) p (c) 1
b
Let g be (115/10)/((-2)/12). Let x = 70 + g. Which is the fourth biggest value? (a) x (b) -3 (c) -1 (d) 2
b
Let j = 63 + -69. Let f = 11 + j. Let t be -1*((-3)/(-7) - 0). Which is the third biggest value? (a) t (b) f (c) -4
c
Let z = 213.14 + -203.14. Let l = -7.5 - -8. What is the biggest value in z, l, -1/6?
z
Suppose 3*m - 2*m = 0. Let o be (m + -2)/(14/(-4)). Let z = -2.75 - -2.75. Which is the biggest value? (a) 2 (b) z (c) o
a
Let r = 155 + -311/2. Let i(l) = -l**3 - 11*l**2 + 16*l + 53. Let z be i(-12). Which is the smallest value? (a) r (b) -40 (c) z
b
Let s = -936.8 - -937.6. What is the third biggest value in -188, s, -5?
-188
Let n = 5.7 - 5.737. Let f = 157.1 + -158.137. Let v = f - n. Which is the fourth smallest value? (a) 7 (b) 4 (c) v (d) 2/5
a
Let m be 2/(-48) + (-1)/3. Let v = 23174.5 - 23175. What is the biggest value in 2, m, v, -3?
2
Let y = -2.7 + 1.7. Let k = 0.78 + y. Let f = 19 + -59/3. Which is the smallest value? (a) k (b) f (c) -0.1
b
Let i = 278.7 + -278.5. What is the biggest value in -17.7, 0.3, i, -2/5?
0.3
Let h = 6 - 8. Let p = 1555/8 - 194. Let x be (-3)/(-54) - 4/18. What is the second smallest value in h, x, p?
x
Let g = -0.29 - -0.29. Let d(q) = q**3 - 3*q**2 + 2*q. Let l be d(3). Let n = -194.4 - -194. What is the third biggest value in g, n, l?
n
Let o be (-14)/161 - 33/414. Suppose 47*g = 42*g + 5*k - 35, 4*g + 3*k + 7 = 0. Let s = 0 + 1. Which is the second smallest value? (a) s (b) g (c) o
c
Let a = 166/9 - 163/9. What is the second smallest value in 0.4, 68/5, -5, a?
a
Let r = -392 - -392.4. Let u = -66/13 - -331/78. Which is the smallest value? (a) 5 (b) r (c) u
c
Let u be (4 + -5)*2/4 - (-43)/172. Which is the second biggest value? (a) 1 (b) -6 (c) u (d) 0 (e) -4
d
Let q = -133 + 134.8. Suppose 3*h - 65 = x - 18, 0 = -4*x + 4. Suppose -8*w - h = -12*w. What is the fourth biggest value in q, -5, w, 0.3?
-5
Let l = 390 - 393. Which is the smallest value? (a) -5 (b) -15 (c) -45 (d) l
c
Let v = -7828 - -7827.8. Which is the third biggest value? (a) 1469 (b) 4 (c) v
c
Let a be (-5)/((-50)/(-6))*(-5 - 3900/(-756)). What is the third biggest value in 3, -0.38, -2/7, a?
-2/7
Let z = 15762 - 15692. Which is the third smallest value? (a) -12 (b) z (c) 4 (d) -5
c
Suppose 299*y = -22 + 919. Let q = -4 + 3. What is the second biggest value in q, y, -2/25?
-2/25
Let w = 3605 - 3605. Which is the fourth biggest value? (a) -0.3 (b) w (c) 1.3 (d) -3/2
d
Let h = -0.661 + 1.161. Suppose 2*i + 12 = -2*r, r - 3*r - 4 = 0. What is the second biggest value in h, 2, i, -15?
h
Let h = 17672.09 + -17572. Let g = h + 0.91. Let w = -101 + g. Which is the second biggest value? (a) -1/2 (b) 1 (c) w (d) -3
c
Let f = 0.2 - 3.2. Let y = 371 - 383. What is the biggest value in y, 2, f?
2
Let k = -22.4 - -22. Let s = -0.1 - 0.07. Let n = s - 2.83. What is the third smallest value in n, k, 4?
4
Let a = -1.53 +
|
{
"pile_set_name": "DM Mathematics"
}
|
ve of 0*k**3 + 0 - 2*k + 1/126*k**7 + 0*k**2 - 1/30*k**6 + 0*k**5 + 1/9*k**4. Factor y(x).
x**2*(x - 2)**2*(x + 1)/3
Let y(k) be the first derivative of -k**5/25 + k**4/20 + 3. Determine f, given that y(f) = 0.
0, 1
Factor 9/5*y**4 + 9/5*y**3 + 0*y + 3/5*y**5 + 0 + 3/5*y**2.
3*y**2*(y + 1)**3/5
Let j(v) = -v**2 - v + 1. Let u(n) = 5*n**2 + 5*n - 2. Let s = -16 - -18. Let c(y) = s*j(y) + u(y). Factor c(a).
3*a*(a + 1)
Let f be 26/8 + (-7)/28. Let -f*u**2 + 9*u + 6 + 4*u**2 - 3*u**2 + 5*u**2 = 0. Calculate u.
-2, -1
Let u be (((-14)/(-1))/(-2))/(-1). Let d be u/14 + (-77)/(-6). Let 16/3*v**3 + 17/3*v - 2/3 - d*v**2 = 0. Calculate v.
1/4, 2
Let u(a) be the second derivative of 0*a**2 + 1/135*a**6 - 6*a + 0 + 0*a**4 + 1/90*a**5 + 0*a**3. Factor u(p).
2*p**3*(p + 1)/9
Solve -109*y + 59*y + y**2 + 54*y = 0.
-4, 0
Let r be 6/(-4)*12/(-54). Let j(c) be the first derivative of -r*c**3 - 1/4*c**4 + 1/10*c**5 + 1/4*c**2 + 1/2*c + 1/12*c**6 - 2. Factor j(s).
(s - 1)**2*(s + 1)**3/2
Factor 15*q - 3*q - 5*q**2 + q**2.
-4*q*(q - 3)
Let u = -4 + 6. Let t(o) be the second derivative of 1/6*o**u - 1/126*o**7 + 0 - 5/18*o**3 - 1/6*o**5 + o + 5/18*o**4 + 1/18*o**6. Factor t(c).
-(c - 1)**5/3
Let i(m) be the first derivative of m**4/22 + 2*m**3/33 - 2*m**2/11 - 3. Factor i(l).
2*l*(l - 1)*(l + 2)/11
Let z = -1 + 5. Factor -3*t**3 + 5*t**3 + 2*t**z + t**4 - 3*t**2 - 6*t + 4*t**3.
3*t*(t - 1)*(t + 1)*(t + 2)
Let t(a) = 5*a**2 - 24*a + 39. Let g(x) = 10*x**2 - 47*x + 77. Let w(y) = 6*g(y) - 13*t(y). Suppose w(f) = 0. Calculate f.
3
Let y(z) be the first derivative of z**3/3 - z**2/2 - 2*z - 9. Factor y(x).
(x - 2)*(x + 1)
Let n(m) be the third derivative of -m**5/150 - 3*m**2. Factor n(t).
-2*t**2/5
Let f(o) = 2*o**2 - 3*o. Let s be f(2). Find d such that 0 + 0*d + 2/3*d**4 - 4/3*d**3 + 2/3*d**s = 0.
0, 1
Let f(n) be the third derivative of 0*n**3 - 2/5*n**4 + 8*n**2 + 0*n - 1/200*n**6 + 0 + 2/25*n**5. Factor f(y).
-3*y*(y - 4)**2/5
Suppose 1/2*q**2 + 0*q - 1/2 = 0. Calculate q.
-1, 1
Let m(u) = u**3 + u. Let v(y) = -12*y**3 - 10*y. Suppose 0 = z + 4*z + 10. Let o be (1 - -1)/(z/(-2)). Let j(k) = o*v(k) + 22*m(k). Factor j(x).
-2*x*(x - 1)*(x + 1)
Let b(u) be the third derivative of u**6/360 - u**5/45 + 5*u**4/72 - u**3/9 + u**2. What is q in b(q) = 0?
1, 2
Let u be (-11)/(-4) - (-6)/24. Let a(s) be the first derivative of -1/6*s**4 - 1/3*s + 2 - 2/3*s**2 - 5/9*s**u. Find b, given that a(b) = 0.
-1, -1/2
Let o(s) be the third derivative of s**6/180 - s**5/30 + s**4/12 + s**3/2 + 4*s**2. Let k(h) be the first derivative of o(h). Determine r so that k(r) = 0.
1
Factor 10*z**2 + 5*z**4 - 5*z**3 - 9*z**2 - z**4.
z**2*(z - 1)*(4*z - 1)
Let r(t) = -t - 6. Let u(w) = 2*w - 2. Let m be u(-3). Let v be r(m). Factor -4 - 10*c - 2*c**3 - 3*c**2 + 0 - 5*c**v.
-2*(c + 1)**2*(c + 2)
Let s(g) = -g**3 - g**2 + g - 1. Let w(o) = 7*o**3 - o**2 - 7*o + 19. Let y(c) = -18*s(c) - 2*w(c). Factor y(u).
4*(u - 1)*(u + 1)*(u + 5)
Suppose 0 = 2*v + 2*v. Suppose -5 + v = -x. Solve -4*b**2 + x*b**4 - 4*b**4 - 2 - 3*b**4 + 8*b**2 = 0.
-1, 1
Factor -t**4 + 4*t - 5*t**4 - 4*t**3 + 4*t**4 + 2 + 0*t**4.
-2*(t - 1)*(t + 1)**3
Factor 5*i + 0 - 5/2*i**2.
-5*i*(i - 2)/2
Factor 3*f**4 - 7*f**2 - 7*f**2 + 11*f**2 - 3*f + 3*f**3.
3*f*(f - 1)*(f + 1)**2
Let y(o) be the first derivative of o**3/3 + o**2/3 - o/3 + 2. Factor y(r).
(r + 1)*(3*r - 1)/3
Let t(s) = -4*s**5 - 2*s**2 - 2*s - 2. Let g(y) = 9*y**5 + y**4 + y**3 + 4*y**2 + 5*y + 5. Let q(z) = 2*g(z) + 5*t(z). Solve q(i) = 0 for i.
-1, 0, 1
Let l be (-3 - -3)/2*1. Let r be (-16)/(-168)*(-28)/(-6). Factor 2/9*u**2 + 0 - r*u**3 + 2/9*u**4 + l*u.
2*u**2*(u - 1)**2/9
Let b be (-4 - 24/(-6))/(3 + -1). Suppose -1/3*o**3 + 1/3*o**2 + 0*o + b = 0. What is o?
0, 1
Let k(p) be the third derivative of p**6/90 - p**5/45 - p**4/18 + 2*p**3/9 + 5*p**2. Find t, given that k(t) = 0.
-1, 1
Let i(x) = -2*x**5 - 2*x**4 - 22*x**3 - 22*x**2 - 6. Let p(q) = q**5 + 3*q**4 + 23*q**3 + 21*q**2 + 5. Let c(t) = 5*i(t) + 6*p(t). Find m, given that c(m) = 0.
-1, 0, 4
Let f(t) be the third derivative of t**2 - 1/120*t**5 - 1/720*t**6 - 1/3*t**3 - 1/48*t**4 + 0 + 0*t. Let v(y) be the first derivative of f(y). Factor v(i).
-(i + 1)**2/2
Suppose -78 = -12*m - m. Factor -m*u**3 + 9/2*u + 3/2 + 0*u**2.
-3*(u - 1)*(2*u + 1)**2/2
Let i(f) = f**4 - f**3 - f**2 - f - 1. Let k(r) = 3*r**5 + 3*r + 3. Let x(z) = 3*i(z) + k(z). Factor x(d).
3*d**2*(d - 1)*(d + 1)**2
Suppose -106*z + 35*z + 213 = 0. What is i in 2/5*i + 8/5 + 6/5*i**4 - 14/5*i**2 - 2/5*i**z = 0?
-1, 1, 4/3
Let l = 11 - 9. Let g(b) be the second derivative of -l*b + 0*b**2 + 1/30*b**4 - 1/50*b**5 + 0*b**3 + 0. Factor g(r).
-2*r**2*(r - 1)/5
Let f(m) be the first derivative of -m**6/1980 - m**5/330 - m**4/132 - 5*m**3/3 - 5. Let i(l) be the third derivative of f(l). Factor i(t).
-2*(t + 1)**2/11
Let q(p) be the first derivative of p**5/80 - p**4/12 + 5*p**3/24 - p**2/4 - 2*p - 3. Let a(l) be the first derivative of q(l). Suppose a(r) = 0. What is r?
1, 2
Let r = -189 + 191. Determine f, given that 9/2 - 6*f + 3/2*f**r = 0.
1, 3
Let j(k) be the third derivative of k**6/480 + 7*k**5/240 + k**4/12 - 2*k**3/3 - 59*k**2. Factor j(g).
(g - 1)*(g + 4)**2/4
Let c(d) be the second derivative of -1/15*d**4 + 0 - 1/15*d**3 + 0*d**2 - 1/50*d**5 + 3*d. Factor c(b).
-2*b*(b + 1)**2/5
Let v(l) = -l**2 + 2*l + 1. Let u(t) = -t**2 + 3*t + 1. Let a(j) = 2*u(j) - 3*v(j). Solve a(r) = 0.
-1, 1
Let c be (1/3)/((-3)/(-36)). Let a(m) = c*m - 3 - 4*m**3 - 2*m**2 + 7 + 1 + 6*m**2. Let u(o) = -o**3 + 1. Let w(z) = -a(z) + 5*u(z). What is h in w(h) = 0?
-2, 0
Factor -3*q + 1 + 3*q**2 + 3*q**3 - 3*q**4 - 1 + 0.
-3*q*(q - 1)**2*(q + 1)
Suppose 34*r - 12 = 30*r. Determine u, given that 2*u + 1/2*u**r + 2*u**2 + 0 = 0.
-2, 0
Let t(j) = -j**3 - 6*j**2 - j - 3. Let h be t(-6). What is r in 1/3*r**2 + 0 - 1/3*r**5 - r**h + r**4 + 0*r = 0?
0, 1
Let y = -788 + 790. Factor 0 + 0*j + 0*j**y + 2/5*j**3 - 1/5*j**4.
-j**3*(j - 2)/5
Let r(k) = 2*k**3 + 4*k**2 - 2*k - 4. Let b be r(-2). Find m, given that 2/7*m + 0 - 4/7*m**2 + 4/7*m**4 + b*m**3 - 2/7*m**5 = 0.
-1, 0, 1
Suppose 5*m + 3*i - 143 + 56 = 0, -1 = m - 4*i. Suppose -m = -9*l + 4*l. Suppose -1/4*j**4 + 0 - 1/2*j**l - 1/4*j**2 + 0*j = 0. Calculate j.
-1, 0
Let v(l) = -12*l**3 + 2*l - 10. Let a(u) = 6*u**3 + 1. Let s(z) = -z**3. Let p(m) = a(m) + 5*s(m). Let j(r) = 10*p(r) + v(r). What is d in j(d) = 0?
-1, 0, 1
Factor -5 - 7*i + 4*i**2 + 16*i - 7*i**2 - 1.
-3*(i - 2)*(i - 1)
Let j(z) be the first derivative of 2*z**6/27 - 2*z**5/15 + z**4/18 + 9. Factor j(y).
2*y**3*(y - 1)*(2*y - 1)/9
Let i(v) be the third derivative of -1/3*v**3 + 1/60*v**5 - 1/24*v**4 + 0*v - 4*v**2 + 0. Factor i(n).
(n - 2)*(n + 1)
Let d(w) be the first derivative of -w**6/600 + w**5/100 - w**4/40 + w**3/3 - 4. Let l(g) be the third derivative of d(g). Suppose l(a) = 0. What is a?
1
Let h(n) be the third derivative of -n**9/37800 + n**8/8400 - n**7/6300 + n**4/6 + 3*n**2. Let c(i) be the second derivative of h(i). Factor c(l).
-2*l**2*(l - 1)**2/5
Let j(g) be the second derivative of -1/3*g**3 + 0 + 0*g**2 + 1/5*g**5 + 1/6*g**4 - g. Factor j(h).
2*h*(h + 1)*(2*h - 1)
Suppose 4*g - 2*g + 4 = 0. Let b be (10/(-4))/(g - 0). Suppose 0 - 3/4*p**4 - 1/4*p + b*p**3 - p**5 + 3/4*p**2 = 0. Calculate p.
-1, 0, 1/4, 1
Let h(x) be the first derivative of 3*x**4/20 - x**3 + 9*x**2/10 + 27*x/5 - 12. Factor h(g).
3*(g - 3)**2*(g + 1)/5
Factor 9/4*n - 1 - 3/2*n**2 + 1/4*n**3.
(n - 4)*(n - 1)**2/4
Let h(g) be the first derivative of -g**8/84 - 4*g**7/105 - g**6/30 - g**2 - 2. Let m(o) be the second derivative of h(o). Factor m(l).
-4*l**3*(l + 1)**2
Factor 0 + 1/4*v**3 - 1/2*v - 1/4*v**2.
v*(v - 2)*(v + 1)/4
Let v(o) be the third derivative of -o**7/210 - 6*o**2. Factor v(p).
-p**4
Let o(k) be the second derivative of k**9/68040 + k**8/10080 + k**7/3780 + k**6/3240 - 5*k**4/12 + 6*k. Let p(c) be the third derivative of o(c). Factor p(h).
2*h*(h + 1)**3/9
Let u(n) = -n**2 - 40*n + 200. Let v(j) = 6*j**2 + 200*j - 1000. Let x(g) = 16*u(g) + 3*v(g). Factor x(i).
2*(i - 10)**2
Let t(y) = 5*y**5 + 12*y**4 - 17*y**3 - 17*y**2 + 5*y + 12. Let d(u) = -3*u**5 - 8*u**4 + 11*u**3 + 11*u**2 - 3*u - 8. Let m(z) = -7*d(z) - 5*t(z). Factor m(w).
-4*(w - 1)**2*(w + 1)**3
L
|
{
"pile_set_name": "DM Mathematics"
}
|
c - w - 16. Suppose 4*k - 15 = 3*q, -4*q - c = k - 3*k. Solve k*j - 7 = 2 for j.
3
Suppose y - 6*y = 0. Suppose -3*a + 164 = 4*b, y*b - 232 = -4*a - 2*b. Let h = a - 56. Solve -h*q - 2 - 6 = 0 for q.
-2
Let w = -37 + 42. Suppose 0*l - l + 11 = 3*g, -21 = -2*l - w*g. Let x be 15/((-12)/l + 3). Solve b - x = -b for b.
5
Let m = -286 + 288. Suppose -4*x + 23 = -3*s + 4*s, m*s - 5*x = -19. Solve 18 = -3*y + s for y.
-5
Let c = -1765 - -1886. Solve 4*g = -133 + c for g.
-3
Let o = 27 + -10. Let q(f) = -f**2 + 18*f - 15. Let r be q(o). Suppose -3*p + 44 = 5*t, -4*t + 3*t - 4*p + r = 0. Solve 4*g + t = 26 for g.
4
Let s = -19624 - -19714. Solve s*w = -75 + 525 for w.
5
Suppose -3*i = -3*o - 11 - 52, 4*i - 36 = o. Let a be (-174)/464 + (-70)/o. Let n(j) = j**3 + 3*j**2 - 3*j + 1. Let s be n(-3). Solve -2*f - a + s = 0 for f.
3
Let j be (-125)/150 - 2/12. Let d be (-3 - 44/(-4)) + -3 + j. Solve 0 = -4*w + 5*w - d for w.
4
Suppose -a + 2 = -0*a. Let g(d) = 56*d + 504. Let y be g(-9). Solve y = -a*w - 8 + 2 for w.
-3
Let a be (-82)/(-123) - (-2)/(-3) - -267. Solve -a*p = -269*p + 4 for p.
2
Let q be (-3)/6*(-6 - -2). Let i be 3 + 6 - -1 - (-6 - (-7 + -1)). Solve 10*y - q - i = 0 for y.
1
Let j(y) = y**2 + 8*y + 19. Let g be j(-5). Suppose -692 = 7*q - 797. Solve g*n = 9*n + q for n.
-3
Suppose -15*b - 105 + 1305 = 0. Solve 219 + 101 = b*x for x.
4
Let c(x) = -4*x - 12*x**2 + 1 + 7*x + 9*x + 13*x**2. Let p be c(-12). Let n be (-9)/((-36)/32)*p. Solve n = -s - 3*s for s.
-2
Let r = 24 - 27. Let y be (-44)/(-2) + (1 + -1)/r. Suppose 0 = -2*h + y - 6. Solve -f + h = 3*f for f.
2
Let v = -26 + 20. Let x = v + 10. Suppose -x*p + 78 = 2*p. Solve -5*w - 7 = p for w.
-4
Let x = -87 + -211. Let s = -266 - x. Solve 7*j = -j + s for j.
4
Suppose 5*x - 2*n + 6 = -0, 2*x + n = 3. Suppose -2*c = -4*r + 40 + 16, 0 = -3*r. Let a = -25 - c. Solve x = -a*k - 0*k + 6 for k.
2
Let y be (4/5)/((-2)/(-10)). Suppose -4*b - 13 + 13 = 0. Let z be 4*(27/(-6))/(-6 - b). Solve -y*s = 1 + z for s.
-1
Let d be (-10 + 4)*1/(8/(-12)). Solve -d*u - 19 = 17 for u.
-4
Let m be -1 + 1 + (-26 - -11). Let i be 2/(-5) + (-2 - 936/m). Let c = i - 60. Solve t - 3*t + 6 = c for t.
3
Suppose 30 = 5*r + 10*r. Suppose -7*a - r = -30. Solve 3 = -a*k + 5*k for k.
3
Let j = 106 - 70. Let a = -36 + j. Suppose a = -5*o + 3*o + 4*r - 8, -5*r = -10. Solve o = -4*f + 7 + 1 for f.
2
Let z(l) = l**2 - 14*l - 15. Let p be z(15). Let j be (p - -8) + 0/9. Suppose 5*t = -5*d + 10, j = 5*t - 2*d + 6*d. Solve t = -b + 7 - 3 for b.
4
Suppose 4*l + s - 708 = 0, -562 = -5*l + 4*s + 302. Solve l = -10*d + 126 for d.
-5
Let s be 30/12 + 855/114. Solve -42 + 32 = s*d for d.
-1
Let m be 12/(-20) + 0 + (-2140)/(-25). Suppose 7*o = -10*o + m. Solve -8 = o*k - 18 for k.
2
Let r be -10*-2*((-24)/(-3) + -7). Solve 5*t + r = 9*t for t.
5
Let y be 360/10 + (2 - 0). Solve -26*j - 12 = -y*j for j.
1
Let y = -2157 - -2157. Solve 12*v - 18 - 42 = y for v.
5
Let o(x) = -x**3 + 16*x**2 - 27*x - 9. Let m be o(14). Let h be (10/(-8))/((-4)/96). Let a be (-40)/6*6/(-4). Solve -m*w = a - h for w.
4
Let x be (0*11/55)/2. Solve x = 91*d - 100*d + 27 for d.
3
Suppose -2*r = -4*r + 4. Suppose 4*h = 2*w + 10, -5*w + 26 = 5*h - 3*w. Let s(u) = -u**3 + 5*u**2 - 4*u. Let x be s(h). Solve c + 3 - r = x for c.
-1
Suppose t - 60 + 47 = -5*o, -3*o = -5*t + 233. Solve -t*u + 424 = 123 for u.
7
Let p be (30/9)/(-5*(-3)/315). Let q be (-14)/(-4)*120/p. Solve 9 = -15*s + q*s for s.
-1
Let d(j) = -5*j - 4*j + 3*j + 10*j - 38. Let s be d(10). Let c(n) = -3*n + 3. Let p be c(-3). Solve -5*q + s*q + p = 0 for q.
4
Suppose -212301*r + 6524 = -212287*r. Solve -448*z + 72 = -r*z for z.
-4
Suppose -4*p - 153 = 5*d, 3*p - 2*d = 3*d - 141. Let m = -39 - p. Solve 4*q = m*q - 3 for q.
-3
Let z = -5211 + 5259. Solve 6*y = -2*y + z for y.
6
Let i = 130 + -127. Suppose 2*j + x = 4*j - 3, -3*x + i = 0. Solve -l = -j*l - 5 for l.
-5
Let c be 1/(2 - (-738)/(-147) - -3). Let f = c - -49. Suppose 0 = 3*b - f*b - 3. Solve -v = -b - 1 for v.
2
Let z(u) = u**2 - 3*u - 1. Let m be z(4). Suppose -4*h - 14 = -11*h. Solve -h*l = m*l for l.
0
Suppose -6*d = -5*d - 5*m - 13, -2*d = 4*m + 16. Let s be (-4)/6*(-9)/d + 10. Solve 21 + 7 = -s*r for r.
-4
Let u(x) = x + 10. Let s be u(0). Let c(k) be the first derivative of -k**3/3 + 4*k**2 + 20*k + 329. Let n be c(s). Solve -1 = -f - n*f for f.
1
Suppose 0 = w + 4*w - 100. Suppose 14*b = 19*b - w. Solve -5 = 5*y - b*y for y.
-5
Let g(j) = 11*j**2 + 16*j + 22. Let r(f) = 9*f**2 + 9*f + 24. Let k(n) = 4*g(n) - 5*r(n). Let m = 2 + 15. Let y be k(m). Solve 0 = 3*z + 1 + y for z.
-1
Let c(a) = 2*a**3 - 16*a**2 + 137*a - 1094. Let k be c(8). Solve -4*p + 2*p = -k for p.
1
Let g be (-12)/(576/(-176))*12. Solve -112 - 64 = g*h for h.
-4
Let o = 962 - 947. Solve o = 205*q - 210*q for q.
-3
Let i(w) = -w**3 + 3*w**2 + 64*w - 39. Let z be i(-7). Solve -639 + 636 = z*v for v.
-1
Suppose 5*y = -2*t + 19 + 2, 3*y = -2*t + 15. Suppose 0 = -6*d + 11 + 13. Solve y*c - d*c = -1 for c.
1
Suppose 29*j + 43*j - 7830 = 18*j. Solve 32*m - 3*m = j for m.
5
Let o = 773 - 767. Solve -o*y - 189 + 213 = 0 for y.
4
Let y(f) = 7*f + 97. Suppose 5*q = -94 + 34. Let m be y(q). Solve m*g = 12*g for g.
0
Suppose 8*d = 46 + 90. Suppose -77 = -d*c + 10*c. Solve 0 = -9*l + c*l + 10 for l.
-5
Let y(b) = -37*b + 1492. Let j be y(37). Solve -109*x = -j*x + 42 for x.
3
Suppose -h + 42 + 23 = 3*x, 4*h - 2*x - 204 = 0. Solve h*f = 44*f for f.
0
Suppose -p - 3 = r - 2*r, 2*r + 3*p = -14. Let g be (0 + 0)*(18/(-12) - r). Solve v = -g - 5 for v.
-5
Suppose 5*j = -8*j + 5*o + 8, 0 = 3*o - 3. Solve -25 = -8*t - j for t.
3
Let i = -33 - -43. Let a be -4 + (-5)/5 + i. Let h(c) = 2*c**2 + 2*c + 1. Let v be h(3). Solve 0*j - a*j = v for j.
-5
Let u = 14 + -12. Suppose 7015 = -37*c + 7089. Solve 3*z + c = u*z for z.
-2
Let t = -4142 - -4158. Solve 0 = -6*m + t*m + 30 for m.
-3
Let g(s) = s**3 - 41*s**2 - 85*s - 43. Let z be g(43). Solve 223*m - 228*m - 10 = z for m.
-2
Let l = -512 + 525. Suppose 5*c + l = -3*v + 4, -4*c - 12 = 4*v. Solve -u = -c*u + u for u.
0
Suppose -2304 = -65*w + 25*w - 8*w. Solve -w*l = -51*l + 18 for l.
6
Suppose 3*y + 4*g = 114, 0 = 7*y - 6*y - 2*g - 18. Let t = -12 + 14. Solve -t*v = 22 - y for v.
4
Suppose -72 = -18*g + 17*g - v, -11*v = 0. Solve -23*r + 47*r = g for r.
3
Let o(j) = -j**3 + 4*j**2 + 2*j - 1. Let w be o(3). Suppose -u + w = -5*x + 3, 2*x = -u + 18. Suppose 6*r + 4 = u. Solve -8 = r*n - 6*n for n.
2
Suppose -5*z - x = -90, 0 = 5*z + x - 6*x - 90. Let d = z - 16. Suppose 4*a + 2 = -n - 8, 2*n = -d*a - 2. Solve -n*q = -4*q - 2 for q.
-1
Let m be 7/(350/(-4))*5*5. Let v be (-436)/(-36) + m/36*2. Solve -3 - v = -3*k for k.
5
Suppose 3*j + z = 138 + 108, -4*j + 2*z + 318 = 0. Solve -36 = -75*c + j*c for c.
-6
Let l be (-1)/((-3)/27)*1 - 2. Suppose -y = 2*s + 23, -4*y + l*s - 152 = 3*s. Let j = y - -33. Solve -q - q + 8 = j for q.
4
Let b(u) = 2*u**2 - 3*u + 3. Suppose 9 = -2*n - 5*f + 31, 5*n = 2*f - 3. Let g be b(n). Let j = 98 + -92. Solve x + j = -g*x for x.
-2
Let v = 12 - -10. Suppose 0 = -5*m - 2 + v. Solve 4*j - 16 = -m for j.
3
Suppose -77*w + 396 = -55*w. Solve w*z - 24 = 21*z for z.
-8
Suppose -82*f = -88*f. Let i(b) = b**2 + 4*b + 5. Let z be i(-5). Solve f = -7*s + z*s + 6 for s.
-2
Suppose -101*f - 100*f + 188*f + 676 = 0. Solve -f*z = -55*z + 12 for z.
4
Suppose 0 = k + 3*p + 3, -7*p = 2*k - 3*p + 4. Suppose k*g + 4*g + 17 = -x, 0 = -3*x + 5*g + 34. Solve -i + 0*i + x = 0 for i.
3
Let o(d) = -18*d + 45. Let t be o(2). Suppose 33 = 6*i + t. Solve f = i*f + 6 for f.
-2
Let k(j) = 3*j - 14. Let r be k(6). Suppose 2 = -2*d - r*f, 3*d - 3*f + 15 = -d. Let s be d - ((5 - 1) + -12). Solve 3 = -4*b - s for b.
-2
Suppose -47*t - 16*t = 0. Let a(f) = 48*f + 16. Let z be a(t). Solve z*k = -k + 17 for k.
1
Suppose 312 = -26*z + 33*z + 32*z. Let h = -7 + 13. Solve -h = z*g + 26 for g.
-4
Let o = 1069 - 375. Let n = 707 - o. Solve 0 = -9*d + n*d + 20 for d.
-5
Let n(j) = -j**3 - 7*j**2 - 6*j + 8. Let t be n(-6). Suppose -d + 2*m = -9 + 2, 3*d + 2*m - 29 = 0. Solve t*a + 3 = d*a for a.
3
Let q(b) = -3081*b + 22 + 3071*b + 40. Let y be q(6). Solve y*h + 4 = h for h.
-4
Suppose 3*u = -5*k - 806, -5*u = -0*u + 10. Let x be (-3)/2*(k/24 + 4). Solve -x*
|
{
"pile_set_name": "DM Mathematics"
}
|
= -1 + 1 + 8*u - 11*u. Calculate the remainder when 16 is divided by g(-3).
7
Let k(q) = -4*q - 2 + 5*q**2 + 4 - q**3 + 3. Let t be k(4). Suppose 5*l - 38 = -t*y - 3, -y + 1 = -2*l. Calculate the remainder when 8 is divided by y.
3
Let z(a) = 9*a + 5. Let p = 421 - 407. Calculate the remainder when z(4) is divided by p.
13
Suppose 3*p = -8 + 59. Suppose -2*s - 2*g - 2*g + 40 = 0, -g = s - p. What is the remainder when 27 is divided by s?
13
Let o(x) = -x**2 + 9*x + 11. Calculate the remainder when o(9) is divided by 7.
4
Suppose -9 = 3*q - 0, j = -q + 12. Calculate the remainder when 19 is divided by j.
4
Let a(m) = m**2 + m + 21. What is the remainder when 41 is divided by a(0)?
20
Let u(d) = -d**3 + 4*d**2 + d + 1. What is the remainder when u(3) is divided by 5?
3
Suppose -3 = -z + 2. Suppose 5*y - 4*s + 20 - 70 = 0, -3*y - 5*s = -67. What is the remainder when y is divided by z?
4
Let o = -5 - -4. What is the remainder when (60/(-16))/(o/4) is divided by 8?
7
Let z be 12*(20/16 + -2). Let b = 21 + z. What is the remainder when 3/(-9) - 134/(-6) is divided by b?
10
Let o(b) = 2*b**2 + 9*b + 2. Calculate the remainder when 79 is divided by o(-6).
19
Let m = 6 - -31. Suppose -19 = -3*a + 20. Calculate the remainder when m is divided by a.
11
Suppose -3*t - 2*t = -5*f - 10, 0 = 2*f + 3*t + 14. Let o = f + 7. What is the remainder when (2/(-3))/(o/(-9)) is divided by 2?
0
Suppose -1 - 7 = 2*o, -12 = k + o. Let x be (k + -1)/(-1) - 1. Suppose u - x = 3*u, -4*h + 28 = -4*u. Calculate the remainder when 5 is divided by h.
2
Suppose h - 4*d = 32, h = 3*d - 4*d + 22. Calculate the remainder when h is divided by (2 - 1)*13*(-1 - -2).
11
Suppose -k - 2*k + 39 = 0. Let u(n) = -n**3 - 9*n**2 + 7. Let p be u(-9). Suppose p = 4*w - 13. What is the remainder when k is divided by w?
3
What is the remainder when 82 is divided by (-33)/(-2) - 4/(-8)?
14
Suppose -2*s + 4*j + 31 = -s, -5*s + 89 = 2*j. What is the remainder when 206 is divided by s?
16
Let n = 42 + -26. Let f = 27 - n. Calculate the remainder when 31 is divided by f.
9
Let z = -52 + 158. Let q = -68 + z. What is the remainder when q is divided by 20?
18
Let f(r) = -6*r - 3*r + 10 + 8*r. Calculate the remainder when 19 is divided by f(0).
9
Suppose -12 = -4*p + 8. What is the remainder when 7 is divided by p?
2
Let d = 4 + -2. Suppose -3*z + 195 = 5*s, -4*z + 104 + 156 = -d*s. What is the remainder when z is divided by 22?
21
Suppose -340 = -3*t - t. Calculate the remainder when t is divided by 22.
19
Suppose 160 = 2*p + 3*p. Suppose 4*o + p = 136. Suppose 0*a - a = -o. What is the remainder when a is divided by 9?
8
Let y(j) be the second derivative of j**5/20 - 7*j**4/12 - j**3/3 + j**2/2 - j. What is the remainder when y(8) is divided by 17?
15
Suppose 3*k = -4 + 22. Calculate the remainder when 22 is divided by k.
4
Let h(d) = -d**2 + 24*d - 19. What is the remainder when 5 is divided by h(23)?
1
Let z = 17 - 5. Let x be 6/27 + 2/(-9). Let d(r) = -r**3 - r + 23. What is the remainder when d(x) is divided by z?
11
Let p(l) = l**2 + 11*l + 13. Suppose j - 5 = -16. What is the remainder when 50 is divided by p(j)?
11
Let p(f) = 2*f**2 + 2. Let k be p(3). Suppose 0 = -4*s + s + 9. Suppose -k = -2*w - s*w. Calculate the remainder when w is divided by 2.
0
Suppose -3*w + 429 - 156 = 0. What is the remainder when w/2 - (-2)/(-4) is divided by 23?
22
Let h = -3 - -24. Suppose 0 = -4*p - c + 39, -2*p + 5*p - 23 = -2*c. What is the remainder when h is divided by p?
10
Calculate the remainder when 3/(1*(-2)/(-22)) is divided by 7.
5
Suppose -4*o = -9*o. Suppose o = -j + 4*y + 24, 3*j + y - 18 = 15. What is the remainder when (-3)/(-3)*(25 - 2) is divided by j?
11
Suppose 5*a = 1057 - 282. Suppose 0 = 7*m - 12*m + a. Calculate the remainder when m is divided by 16.
15
Let m = 2 + 19. What is the remainder when m is divided by 4?
1
Let n = 2 + 0. Suppose -n*a + 34 = -6. Let k = -3 + a. What is the remainder when k is divided by 9?
8
Suppose 0 = g - 3, 2*c - g + 11 = 6*c. Suppose -i + 39 = c*i. Calculate the remainder when 49 is divided by i.
10
Suppose -3*a = -0*a - 51. Suppose 0*b + c - 7 = -b, -2*c + a = 3*b. What is the remainder when 9 is divided by b?
0
Let b(n) = -2*n - 4. Let c be b(-3). Suppose -c = -s - 0. Let z = -8 + 9. What is the remainder when s is divided by z?
0
Let n(s) = -s + 8. Let o be n(5). Suppose -135 = x - 6*x. Suppose -3*p + o*r = -x, 4*p - 3*r = 1 + 37. What is the remainder when p is divided by 4?
3
Let l = 60 - 31. What is the remainder when l is divided by 16?
13
Suppose 2*c + a - 30 = 0, 15 = 5*c - 4*a - 34. What is the remainder when c is divided by 4?
1
Let w(h) = -h - 3. Let k be w(-3). Let y = 10 - k. What is the remainder when y is divided by 4?
2
Suppose 17 = o + 1. What is the remainder when 47 is divided by o?
15
Suppose 19 + 41 = 4*i. Calculate the remainder when 88 is divided by i.
13
Let m = 29 - 42. Let k = 22 + m. Calculate the remainder when 16 is divided by k.
7
Suppose n = 2*n. Suppose -3*t = -n*t - 3. Calculate the remainder when t is divided by 1.
0
Suppose 0 = -4*w + 4 + 44. Let g(k) = 5*k - 3. Calculate the remainder when w is divided by g(2).
5
Suppose -3*k - v - 44 = 0, -k + 5*v + 2 = 2*v. Let f = k - -39. Calculate the remainder when f is divided by 14.
12
Let v(f) = -f**3 + 15*f**2 + 21*f - 18. Calculate the remainder when v(16) is divided by 21.
20
Suppose 12 = 4*c, 2 = 5*g - c + 5. Suppose -2*j + 92 = 4*u, g*u + 1 = u. Calculate the remainder when j is divided by 23.
21
Suppose 3*s = 3*y + 78, 4*s + y - 121 = -32. Suppose 0 = 4*f + 12 - 44. Calculate the remainder when s is divided by f.
7
Let b(d) = -d**2 + 7*d - 1. Let a be b(6). Suppose k - 64 = -a*t + 10, 3*k = -t + 26. Calculate the remainder when t is divided by -2 + (0 + -3 - -13).
6
What is the remainder when (4/(-6))/(4/(-12)) is divided by 2?
0
Let i = 3 - 0. Let o(q) = -q + 12. Suppose -5*f + 40 = a, 5*a + 16 + 0 = 2*f. What is the remainder when o(f) is divided by i?
1
Suppose -5*u + 220 = 5*z, 0*z = 2*u + 5*z - 76. What is the remainder when u is divided by 17?
14
Let a(q) = 2*q**2 + 5*q + 5. Let s be a(-4). Suppose s - 2 = 5*x - 5*r, 5*x = -2*r + 36. Suppose -40 = -x*t + t. What is the remainder when 23 is divided by t?
7
Let c(z) = 4*z - 3. What is the remainder when 1572/16 - 3/(-36)*-3 is divided by c(7)?
23
Suppose 7 = v - 0*v. What is the remainder when v is divided by 3?
1
Suppose 5*k - 2*w - 108 = -4*w, 4 = w. What is the remainder when 77 is divided by k?
17
Suppose -5*u + 7 = -5*i + i, 0 = 2*i + u - 7. Let c be 6/(-5)*(-10)/3. Suppose 2*v - t - 1 = c, t - 7 = -4*v. Calculate the remainder when i is divided by v.
0
Let g = 11 - -20. Suppose -5*v + 5 = -4*v. Suppose -55 = -10*p + v*p. Calculate the remainder when g is divided by p.
9
Suppose -3*j = -5*j + 6. Calculate the remainder when 3 is divided by j.
0
Let s = 8 + -4. Let i(k) be the third derivative of k**5/20 - 2*k**2. What is the remainder when s is divided by i(-1)?
1
Suppose -2*x - 26 = -5*y, 5*y = -0*y - 5*x + 5. Suppose p = -4*g - 3, 0 = -y*p + 2*g - g + 39. What is the remainder when 17 is divided by p?
8
Let z(m) = -m**2 + 5*m - 2. What is the remainder when (-10)/6*36/(-10) is divided by z(4)?
0
Let m = 29 - 9. Calculate the remainder when 98 is divided by m.
18
Let p be (2/4)/(4/(-48)). Let t(g) = -g + 4. Calculate the remainder when 19 is divided by t(p).
9
Suppose 2*f - 17 = 37. Calculate the remainder when 105 is divided by f.
24
What is the remainder when ((-1)/(6/(-9)))/((-9)/(-564)) is divided by 19?
18
Let j(l) = -2*l**2 + 8*l + 15. Let n be (-24)/9*(-6)/4. Calculate the remainder when n/6 + 40/3 is divided by j(5).
4
Let r = -34 - -116. Calculate the remainder when r is divided by 29.
24
Suppose 38*w = 28*w + 430. Calculate the remainder when w is divided by 12.
7
What is the remainder when 11/(44/192) + 0 is divided by 17?
14
Let u = -10 + 31. Calculate the remainder when u is divided by 3.
0
Let p(o) = -o**3 + 9*o**2 - 8*o + 4. Let j be p(8). Let u = j - 1. Suppose u*h - 35 = -2*h. What is the remainder when 13 is divided by h?
6
Calculate the remainder when 23 is divided by 9/(-5)*(-40)/6.
11
Suppose -7 - 8 = -5*u. What is the remainder when 10 is divided by u?
1
Let h = -36 - -24. Let j = 0 - h.
|
{
"pile_set_name": "DM Mathematics"
}
|
f - 1. Let b(s) = -2*j(s) + 7*z(s). What is the second derivative of b(w) wrt w?
200
What is the second derivative of -3 - 1 + 7*a**3 + 4*a**3 + 59*a + 4 - 3*a**2 wrt a?
66*a - 6
Let t(g) = -2912*g**3 + 6*g**2 - 20*g - 9. Let d(n) = 728*n**3 - 2*n**2 + 5*n + 2. Let f(i) = -9*d(i) - 2*t(i). What is the third derivative of f(r) wrt r?
-4368
Let u(c) be the third derivative of c**7/210 + 41*c**5/30 + 13*c**4/6 + c**3/6 - 173*c**2. Find the second derivative of u(w) wrt w.
12*w**2 + 164
Let g(k) be the second derivative of 5*k**8/56 - 11*k**6/15 - k**4/12 - 9*k**2/2 - k. Find the third derivative of g(l) wrt l.
600*l**3 - 528*l
Let h be (18/(-10))/(27/(-180)). Differentiate -3 - h*c**3 + 2 + 0*c + 0*c with respect to c.
-36*c**2
Find the second derivative of -2 + 2 + 2*o**3 - 28*o**4 + 30*o**4 + 20*o + 4*o wrt o.
24*o**2 + 12*o
Let w be 20*3/(4 - 1). Suppose -p + 6*p - 5*o + w = 0, 8 = -5*p + 2*o. What is the third derivative of -4*x**2 + 2*x**5 + 3*x**3 + p*x**3 - 3*x**3 wrt x?
120*x**2
Let g(p) be the second derivative of 109*p**8/8 - 167*p**4/12 - p**3/2 - 2*p + 22. Find the third derivative of g(c) wrt c.
91560*c**3
Let p(r) be the second derivative of 47*r**4/12 + 29*r**3 - 14*r. What is the second derivative of p(c) wrt c?
94
Let h(i) be the second derivative of 17*i**5/4 + 183*i**2 + 6*i + 25. Find the first derivative of h(t) wrt t.
255*t**2
What is the derivative of -64*q**2 - 44*q**2 - 1497 + 1567 wrt q?
-216*q
Let c(z) = z**3 + z**2 + 2*z. Let i(v) = 2*v**4 + 5*v**3 + 5*v**2 + 172*v - 262. Let f(l) = -5*c(l) + i(l). Differentiate f(y) with respect to y.
8*y**3 + 162
Let r(x) = 5*x + 2*x**2 - 12 - 13*x + 6*x + 6*x. Let j(t) = 9*t**2 + 15*t - 48. Let c(l) = 4*j(l) - 15*r(l). What is the derivative of c(z) wrt z?
12*z
Let y = -1003 + 1005. Let u(c) be the second derivative of 8*c + 2/3*c**4 + 0 + 0*c**y - 3/2*c**3. What is the second derivative of u(j) wrt j?
16
Let u = 327 + -321. Let l(h) be the first derivative of u*h + 1/2*h**2 + 1. What is the derivative of l(n) wrt n?
1
Let d(h) = -46*h - 205. Let o(m) = 46*m + 204. Let z(u) = -2*d(u) - 3*o(u). Differentiate z(x) wrt x.
-46
Suppose 2*k = k + 4*q + 39, -2*q = -2*k + 66. What is the second derivative of 16*y + 10*y**3 + 7*y**3 - k*y**3 wrt y?
-84*y
What is the derivative of -44*u - u**3 - 31*u + 132 - 25*u wrt u?
-3*u**2 - 100
Let w(l) = -6*l + 51. Let z be w(8). What is the third derivative of -73*m**3 - 2*m**4 + 73*m**z - 26*m**2 wrt m?
-48*m
Suppose -21*b + 10*b + 44 = 0. Find the third derivative of -4*l**4 - 6*l**4 + b*l**4 + 19*l**2 wrt l.
-144*l
Let c(n) = 23 + 2*n - 48 + 26. Let f be c(3). Find the first derivative of 12 + 2*k - f - 2*k + 7*k**2 wrt k.
14*k
Let w(h) be the first derivative of -179*h**3/3 + 205*h + 187. Differentiate w(v) with respect to v.
-358*v
Let v be (-4)/12*-6*1. Differentiate 17 + 6*w**2 - 18 + w**v - w**2 with respect to w.
12*w
Let g(d) be the first derivative of 2*d**6/5 - 4*d**2 - 7*d + 1. Let k(b) be the first derivative of g(b). Differentiate k(m) wrt m.
48*m**3
Let k(c) be the first derivative of -995*c**3/3 - 3*c**2/2 + 2. What is the second derivative of k(a) wrt a?
-1990
Let j(y) be the second derivative of 64*y**7/21 - 53*y**3/6 - 2*y**2 - 2*y + 23. Find the second derivative of j(r) wrt r.
2560*r**3
Let o(q) be the second derivative of 61*q**7/42 + 25*q**4/4 - q + 45. Find the third derivative of o(y) wrt y.
3660*y**2
Let f(d) be the first derivative of -47*d**2/2 + 85*d + 50. Differentiate f(b) wrt b.
-47
Let s(l) = 97*l**3 + 10*l**2 - 452*l. Let j(c) = 2*c**2 - 2*c. Let u(v) = 5*j(v) - s(v). What is the second derivative of u(a) wrt a?
-582*a
Let y be 5/(30/(-4)) - 28/(-6). What is the second derivative of 123*d - 5*d**3 + 4 - y - 146*d wrt d?
-30*d
Suppose 0 = 4*p + z + 2*z - 11, 0 = -3*p - z + 7. Suppose 3*u - 2 = -n, p*u - 4*u = 2*n - 12. Find the second derivative of n*v - 2*v**4 - 5*v**4 + 3*v wrt v.
-84*v**2
Let k(c) be the third derivative of -c**7/35 - c**6/120 - 23*c**5/30 + 8*c**2 - 3*c. Find the third derivative of k(o) wrt o.
-144*o - 6
Let q = -30 + -2. Let n = q - -34. Find the third derivative of -r**n + 8*r**2 - 11*r**4 + 4*r**2 wrt r.
-264*r
Differentiate -3*n + 70 - 35*n - 45*n wrt n.
-83
Let j(u) be the second derivative of u**6/30 - 11*u**4/3 - u**3/6 + 155*u**2/2 + 270*u - 2. What is the second derivative of j(n) wrt n?
12*n**2 - 88
Let j(w) be the third derivative of -83*w**5/20 + 56*w**3 + 162*w**2. Differentiate j(m) with respect to m.
-498*m
Let z(q) be the second derivative of 49*q**6/5 - 205*q**2/2 - 357*q. What is the derivative of z(a) wrt a?
1176*a**3
Let p(a) be the third derivative of -a**7/30 - a**6/20 - 25*a**3/6 + 3*a**2. Let i(t) be the first derivative of p(t). Find the third derivative of i(s) wrt s.
-168
Let b(y) be the third derivative of -13*y**5/30 + y**4/24 - 61*y**3/6 + 253*y**2 + 2*y. Find the second derivative of b(j) wrt j.
-52
Let h(m) = -3*m**3 - 122*m**2 - 123*m + 5. Let d(q) = q**3 + 2*q**2 + q - 1. Let i(u) = 5*d(u) + h(u). What is the second derivative of i(w) wrt w?
12*w - 224
What is the third derivative of -19 + 3*c**3 + 8*c**4 + 289*c**2 - 146*c**2 - 148*c**2 wrt c?
192*c + 18
Let v(c) = c**2 - 9*c - 2. Let t be v(10). Find the third derivative of -d**3 + 7*d**3 - 51*d**2 + t*d**3 + 43*d**2 wrt d.
84
Differentiate -54*b**4 - 5*b**3 - 3*b**3 + 8*b**3 + 336 - b**3 wrt b.
-216*b**3 - 3*b**2
Suppose -8 = -3*t - 2*m, t - 2*m - 6 = -m. Let a be ((-18)/(-2))/((26 + 7)/11). What is the derivative of -17 + 7 + a*f**t + 7*f**4 wrt f?
40*f**3
Let x(s) be the first derivative of 7*s**6/10 - 4*s**4/3 - 2*s - 13. Let f(k) be the first derivative of x(k). What is the third derivative of f(c) wrt c?
504*c
Let l(p) be the third derivative of 4*p**7/15 - p**6/40 - 71*p**5/15 + 727*p**2. Find the third derivative of l(t) wrt t.
1344*t - 18
What is the second derivative of w - 99 + 146*w**4 + 13*w**2 - 70*w**4 - 67*w**4 wrt w?
108*w**2 + 26
Let w(p) be the first derivative of 31*p**3/3 - 60*p - 65. Differentiate w(s) with respect to s.
62*s
Let u(z) = z**3 + 5*z**2 + 6*z - 3. Let y(s) = -s**2 - s + 1. Let b(w) = u(w) + 6*y(w). Let c be b(0). Find the first derivative of 0 - 5 + o**3 + 2*o**c wrt o.
9*o**2
Suppose 28 = -0*o + o - x, 0 = 4*x - 12. Differentiate 25 + 805*n + o*n**2 - 805*n wrt n.
62*n
Let a(u) be the third derivative of -u**8/840 - u**5/20 + u**4/8 + 9*u**2. Let t(y) be the second derivative of a(y). What is the derivative of t(w) wrt w?
-24*w**2
Let r(x) be the second derivative of -x**4 + 35*x**2/2 + 43*x + 1. What is the derivative of r(i) wrt i?
-24*i
Let n(u) = -119*u**2 - 42*u - 7. Let z(k) = -60*k**2 - 21*k - 4. Let d(h) = 4*n(h) - 7*z(h). Find the second derivative of d(i) wrt i.
-112
Find the second derivative of 5*l + 14*l + 5*l + 482*l**2 - 3 + 48*l + 13*l wrt l.
964
Let q(k) = 526*k**2 + 12*k - 337. Let l(z) = -2629*z**2 - 66*z + 1686. Let j(c) = -2*l(c) - 11*q(c). Differentiate j(h) wrt h.
-1056*h
Suppose 3*h - 2 = -r + 3*r, -12 = -4*r - 2*h. Differentiate -n**4 + 4 + r*n**4 - 2*n**4 with respect to n.
-4*n**3
Let j(g) be the third derivative of 13*g**5/20 - g**4/24 - 11*g**3/2 - g**2 + 31*g. What is the second derivative of j(h) wrt h?
78
Let h be (-40)/(-2) - (7 - 9). Let t = h - 19. Differentiate -8*v**t - 42*v - 11 + 42*v wrt v.
-24*v**2
What is the second derivative of -11*z**5 + 199*z + 106*z**5 - 350*z wrt z?
1900*z**3
Let v(j) be the first derivative of 25/2*j**2 + 8/3*j**3 + 15 + 0*j. Find the second derivative of v(h) wrt h.
16
Let b(a) be the third derivative of -6*a**2 - 1/24*a**4 + 0*a**3 + 0 + 0*a - 1/5*a**5. What is the second derivative of b(t) wrt t?
-24
What is the second derivative of 55*y + 3*y - 40*y**2 + 201 - y**3 - 201 wrt y?
-6*y - 80
Let r be -3*130/36 + 11. Let m(x) be the second derivative of 0 + 2/3*x**3 - r*x**4 + 0*x**2 + x. Find the second derivative of m(p) wrt p.
-4
Let m be 9/((0 + 4)/4). Let w(o) = 6*o**2 - 8. Let q(x) = -23*x**2 + 31. Let f(h) = m*w(h) + 2*q(h). What is the first derivative of f(s) wrt s?
16*s
What is the second derivative of -o**5 + 10*o**2 + 14*o**5 - 6*o**5 - 5*o**5 - 3 + 3*o**2 + 9*o wrt o?
40*o**3 + 26
Let f(o) = -2*o**3 - 44*o**2 - 6*o. Let b(m) = -3*m**3 - 44*m**2 - 5*m. Let y(h) = 6*b(h) - 5*f(h). Find the third
|
{
"pile_set_name": "DM Mathematics"
}
|
- 60. What is the units digit of 9/u + 8/5?
1
Suppose 0 = -3*z - 5*z + 112. Let k(a) = -6*a + 30. Let b be k(z). Let w = b - -113. What is the units digit of w?
9
Suppose 13*r + 32 = 17*r. What is the units digit of (-2)/(16/(-2650)) + (-10)/r?
0
Let n(l) = -l**3 + 7*l**2 + 25*l - 55. Let j be n(9). Suppose -3287 - 3465 = -j*h. What is the hundreds digit of h?
8
Let x be 7 + (-6 + 2 - 0). Let b(f) = f**3 + 2*f**2 - f - 7. What is the units digit of b(x)?
5
Suppose 405 = 2*h + 5*j, -2*j - 655 = -0*h - 3*h. Suppose 4*a = -51 + h. Let p = a - 16. What is the tens digit of p?
2
What is the tens digit of -2*1*((-1273551)/(-6))/(-19)?
4
Let x(s) = -s**3 + 7*s**2 + 9*s + 2. Let k be (18/(-45))/((-1)/(-40)). Let g be (9 + -8)/((-2)/k). What is the units digit of x(g)?
0
Let h be 200/2*4*(-3)/(-30). Suppose 4*j = -j + h. What is the tens digit of 35 - (j/(-4) - -1)?
3
Suppose 5*v + 5 = 0, 3*o - 4*v - 2349 + 20 = 0. Suppose -5*q - 5*m = -o, -6 = -0*m + 2*m. Let p = q - 32. What is the hundreds digit of p?
1
Suppose 0 = -15*y + 5*y. Suppose -7*p + 13*p - 1026 = y. What is the hundreds digit of p?
1
Let n(o) = 1203*o**2 - 6*o - 4. Let m be n(-1). Suppose m = 4*x - 1099. What is the units digit of x?
6
Let v be (45/(-5) - -6)/(-3). Let f(y) = 388*y**3 - 2*y**2 + y + 2. What is the units digit of f(v)?
9
Suppose -26 = 7*d - 131. Suppose d*y = 6*y + 36. Suppose -2*a - 3*m = -105, m - 225 = -y*a - 2*m. What is the tens digit of a?
6
Let m = 38 - 42. Let f be (-1288)/(-42) + m/(-3). Suppose 29*g - f*g = -3. What is the units digit of g?
1
What is the tens digit of (130 - 11) + (-1)/((-3)/15)?
2
Let i be (-58)/6*3/(-1). Let w(z) = 52*z - 68. Let t be w(8). Suppose -25*m = -i*m + t. What is the tens digit of m?
8
Suppose 0 = -7*n - 39*n + 229080. What is the hundreds digit of n?
9
Suppose -40*u + 8*u = 6*u - 126160. What is the hundreds digit of u?
3
Suppose -67*c + 1099139 = -159941 + 223461. What is the units digit of c?
7
Let y = 21 - 44. Let o = y + -5. Let s = o - -67. What is the units digit of s?
9
Let x be ((-3)/2)/(36/(-2640)). Suppose -2*u + x = 14. Suppose -t + 4*t - u = 0. What is the tens digit of t?
1
Suppose 0 = k - 8*k. Suppose 5*f - 37 = -3*p, k*p + 4*p = 3*f + 1. What is the units digit of f?
5
Let n(l) = 35*l + 6*l - 20*l + 38*l + 7*l + 231. What is the hundreds digit of n(18)?
4
Let q(z) = 3*z + 52. Let u be q(-16). Suppose 4*f = u, 5*f = 3*l + 6*f - 1372. What is the units digit of l?
7
Suppose -25 = -6*u + 3*u - 5*t, 14 = 2*u + 2*t. Suppose 13*l + 2*a + 3020 = 17*l, -u*l + a = -3769. What is the hundreds digit of l?
7
Let l(s) = 6*s + s**2 + 10*s + 9 + 2*s**2 + 0*s**2. Let o be l(-6). Let z(w) = -w**2 + 28*w - 27. What is the units digit of z(o)?
0
Let z(m) = 45*m**2 + 58*m + 3236. What is the ten thousands digit of z(-34)?
5
Let a = -20089 - -35022. What is the units digit of a?
3
What is the units digit of (21308/28)/(10/220)?
2
Let a(u) = 24*u**3 - 2*u**2 + 13*u + 9. Let i(k) = -k**3 - 3*k**2 + 2*k. Let g be i(-3). Let p be a(g). What is the hundreds digit of (-6)/27 - p/27?
1
Suppose 7259 = 3*h + 14*h. What is the hundreds digit of h + 2*(-9 - -6)?
4
Suppose 0 = -6*q - 0 - 24. Let p be (150/(-39) - q) + 1928/(-26). Let j = p + 233. What is the hundreds digit of j?
1
Let t = 19405 - 5918. What is the tens digit of t?
8
What is the thousands digit of 51860*1 - 712/(-178)?
1
Let i(h) = -h**3 + 23*h**2 - 21*h + 20. Suppose -216 = -8*w - 64. Let x be i(w). What is the units digit of 6/(-18) + x/9?
8
Let z = 4 - 0. Let c be (z + -2)*2/4. What is the units digit of -1*(0 + -1)/c?
1
Let a(s) = 3*s**2 - 5*s + 22. Let v(h) = h. Let u(o) = a(o) - 6*v(o). Let n be u(15). Suppose 0 = -9*q + 1025 + n. What is the units digit of q?
3
Let r(a) = a**3 - 15*a**2 + 13*a + 17. Let t be (-96)/(-7) - 14/(-49). Let d be r(t). What is the hundreds digit of d*(-5)/60*-548?
1
Let m be 3125 - ((-28)/2)/(-2). Let y = m - 2091. What is the tens digit of y?
2
Suppose 0 = 102*c - 96*c - 6090. Suppose -4*k + c = -3073. What is the units digit of k?
2
Let i(d) = -d**2 - d - 1. Let y be i(-1). Let c be y/(267/(-1008) + 6/21). What is the units digit of 8/c + (-470)/(-12)?
9
Suppose -27*x = 22*x - 503865 + 146998. What is the thousands digit of x?
7
Suppose 2*o - 87 = -77. Suppose -2*r - 5*t + 4*t + 159 = 0, o = 5*t. Suppose -z + 5*x + r = 0, 2*z - 4*x - x - 143 = 0. What is the tens digit of z?
6
Suppose 167*x = -4*r + 163*x + 12020, -2990 = -r - 4*x. What is the tens digit of r?
1
Let a = -16713 + 19686. What is the hundreds digit of a?
9
Let c(w) = 37*w**2 + 31*w + 601. What is the thousands digit of c(-14)?
7
Let k(w) = -811*w - 8011. What is the thousands digit of k(-25)?
2
Suppose 289 = 6*q + 43. Let s = q + 338. What is the units digit of s?
9
Suppose 20 = 13*l - 19. Suppose 0 = -2*m + 3*x + 542, 432 + 384 = l*m - 3*x. What is the units digit of m?
4
Let o(b) = 66*b**2 - 35*b + 63. What is the thousands digit of o(9)?
5
Let s be 12/5 - (-51)/85. Suppose 2*h = -s*k - 129 + 961, 4*k = 2*h - 818. What is the units digit of h?
3
Suppose -2*i - 218 = -2*u, u - 436 = -3*u + i. Suppose 5*l - 170 = -12*p + 7*p, -4*l + u = -5*p. What is the units digit of l?
1
Let c = -129 + 92. Let q(u) = u**2 + u - 20. Let j be q(-6). Let h = j - c. What is the tens digit of h?
4
Suppose 4*h - 19 = -f, -2*h + 6 = -0*h. Let d be (-357)/(-9) + f/21. What is the tens digit of (-70)/2*d/(-28)?
5
Suppose 1001828 = 42*r + 308702. What is the tens digit of r?
0
Suppose -2757752 = -72*s + 1541482 + 630750. What is the units digit of s?
2
What is the tens digit of (123 - 17)/((15/(-335))/(6/(-4)))?
5
Suppose -3*d + 95286 = -y, -334*y = -4*d - 330*y + 127032. What is the hundreds digit of d?
7
Let v(t) = -9*t + 509. Let q be v(0). Suppose 2269 = 20*x + q. What is the tens digit of x?
8
Let v(i) = i**3 + 5*i**2 + 6*i + 8. Let t be v(-3). Suppose j = 4*c - 2488, -4*c = 6*j - t*j - 2484. What is the units digit of c?
3
Let y = 278 - 179. What is the tens digit of 112*((-75)/(-132) + 18/y)?
8
Let n(y) be the third derivative of -29*y**4/4 - 17*y**3/2 - 3*y**2 - 27*y. What is the hundreds digit of n(-5)?
8
Let i = 145 - 141. Suppose 2*d = 4*m - 438, -d = -i + 3. What is the units digit of m?
0
Suppose -8*q = -26*q + 33516. Suppose 21*o + 4*y = 23*o - 1874, -y - q = -2*o. What is the hundreds digit of o?
9
Let x = -303 + 374. Suppose -19264 = 57*u - x*u. What is the thousands digit of u?
1
Let h(p) = -p**3 + 16*p**2 + 15*p - 39. Let z = 108 - 92. Let y be h(z). Let m = y + -62. What is the tens digit of m?
3
Suppose 2*m + 12*f - 14*f - 24096 = 0, 2*m - 24126 = -4*f. What is the tens digit of m?
5
Let b(w) = -2*w**3 - 21*w**2 - 23*w - 19. Let q be b(-9). Let x(m) = -2*m**3 - 109*m**2 + 31*m + 18. What is the thousands digit of x(q)?
1
Suppose 20*y + 18 - 78 = 0. Suppose -y*a + 2625 = 48. What is the units digit of a?
9
Suppose 8*o - 4*o + 600 = 4*g, 616 = -4*o - 4*g. Suppose c = -4*c + 1135. Let z = o + c. What is the units digit of z?
5
Let h(w) be the second derivative of -3/2*w**4 + 0 - 3*w**2 - 1/3*w**3 - 12*w - 1/20*w**5. What is the units digit of h(-18)?
0
Let l = -142 - -130. Let q(d) be the first derivative of -d**4/4 - 10*d**3/3 + 17*d**2/2 + 6*d + 4. What is the units digit of q(l)?
0
Suppose -128*q + 1273 - 114953 = -142*q. What is the thousands digit of q?
8
Let z(a) = 2*a**3 - 2*a**2 - 4*a - 9. Let q be z(-6). Let o = q + 1028. What is the units digit of o?
9
Suppose 2*v - 3 - 12 = -b, 4*v + 5 = 5*b. Suppose -2*f + v*y = -390 - 529, 2340 = 5*f - 4*y. What is the hundreds digit of f?
4
Let s = 9251 - -530. What is the units digit of s?
1
Suppose 39*w + 27898 - 59452 - 73122 = 0. What is the tens digit of w?
8
Let f(q) = 3*q + 5. Let o be f(0). Let b(u) = u - 8. Let v be b(o). What is the units digit of v + 1 - (-90 - 4)?
2
Let u = -3685 + 6791. What is the tens digit of u?
0
Let q(p) = 2*p**2 - 16*p - 7. Let y be q(10). Let j = -31 + y. What is the tens digit of (935/44)/(j/8)?
8
Suppose -22*o - 15*o + 137760 = 59*o. What is the thousands digit of o?
1
Suppose 18905 + 67335 = 20*o. What is the units digit of o?
2
Let v(f) = -5*f**2 + 43*f - 18. Let r be v(8). Suppose -4*z + r*z = 126. What is the units digit of z?
3
Suppose 8*w = 3*w + 3640. Let o = -191 + w. What is the units digit of
|
{
"pile_set_name": "DM Mathematics"
}
|
= 4*x - 1. Let l(u) = -6*d(u) - 2*g(u). Let o(z) = -8*z + 8. Let c(h) = 9*l(h) - 2*o(h). Differentiate c(n) wrt n.
-2
Find the third derivative of 76 + 20*x**3 + 17*x**2 - 76 wrt x.
120
Let c(w) be the second derivative of -5*w**4/12 - w**3 + 5*w. Find the second derivative of c(u) wrt u.
-10
Let m be (5/4)/((-2)/(-8)). Suppose -4*f = w + 11, -5*w = 3*f - m*f - 33. What is the second derivative of -7*t**4 - 2*t**w + 7*t**4 + t wrt t?
-40*t**3
Let n be (-4)/2 + 3 - (-1 - -2). Let x(b) be the second derivative of 1/6*b**3 + 1/2*b**2 + n + 2*b. What is the derivative of x(i) wrt i?
1
Let r be -1*(2 - 0) - -7. What is the third derivative of -r*j**2 - j**6 - 20*j**5 + 20*j**5 wrt j?
-120*j**3
Find the third derivative of -19*h**4 - 6*h**4 - 19*h**2 - 2*h**2 wrt h.
-600*h
Let w(r) be the first derivative of 10*r**3/3 + 7*r**2/2 - 4. What is the second derivative of w(g) wrt g?
20
Let l(o) = 11*o**2 - 14. Let q(p) = -p**2 - 1. Let g(i) = -l(i) + 5*q(i). Find the first derivative of g(h) wrt h.
-32*h
Let v(c) = -c**3 + 7*c**2 + 2. Let k be v(7). Differentiate 2*a + k*a + 3 - 5 with respect to a.
4
Let r(d) = d**3 + d**2 - d + 3. Let j be r(0). Find the second derivative of 0*c**3 + 3*c**5 + 2*c**3 - 2*c - 2*c**j wrt c.
60*c**3
Let p be (-3)/(-9) - (-59)/3. What is the second derivative of -36 - 3*r + 16 + p - 8*r**2 wrt r?
-16
Let s(a) = -5*a**5 + 2*a**4 + 2*a**3 - 5*a**2 + 2. Let b(m) = m**4 + m**3 + m**2 + 1. Let v(c) = 6*b(c) - 3*s(c). Find the third derivative of v(h) wrt h.
900*h**2
Let g(r) = -4*r**5 - 3*r**4 + 3*r**3 - 3. Let x(u) = 3*u**5 + 4*u**4 - 4*u**3 + u + 4. Let q(j) = -4*g(j) - 3*x(j). What is the second derivative of q(f) wrt f?
140*f**3
Suppose -3*q + 6 = -0. Suppose -q - 1 = -d. Find the first derivative of 0*r**2 + r**d + 0*r**2 + 3 wrt r.
3*r**2
Suppose 2*g = -0*g + h + 13, 0 = -2*g + 2*h + 16. What is the third derivative of -2*p**5 - 2*p**g - 2*p + 2*p + 4*p**2 wrt p?
-240*p**2
What is the second derivative of 5*q + 17*q**2 - 3*q**2 - q wrt q?
28
Let h(d) be the second derivative of -d**7/840 - d**6/180 - d**3/3 - 2*d. Let x(n) be the second derivative of h(n). Find the third derivative of x(j) wrt j.
-6
Let n(r) be the second derivative of -2*r**7/7 + 3*r**3/2 - 13*r. What is the second derivative of n(j) wrt j?
-240*j**3
Suppose 0 = -5*z + 5*d + 5, -2*z + 3*d - 8 = -d. Find the first derivative of 53*r**2 - 53*r**2 + 7*r**3 + z wrt r.
21*r**2
Let v(i) = -2*i**2 - 16*i - 5. Let j(x) = -2*x**2 - 17*x - 6. Let l(d) = -5*j(d) + 6*v(d). What is the second derivative of l(m) wrt m?
-4
Let u(l) be the third derivative of -4*l**7/35 + 3*l**5/5 + 27*l**2. What is the third derivative of u(d) wrt d?
-576*d
Let h(b) = -4*b - 3. Let w(o) = -o**2 - o + 1. Let x(p) = h(p) + w(p). Let g be x(-4). What is the third derivative of 6*n - 6*n + 2*n**5 - n**g wrt n?
120*n**2
Let s(h) = -9*h**4 - 5*h**2 + h + 5. Let y = -8 + 6. Let o(f) = -4*f**4 - 2*f**2 + f + 2. Let j(z) = y*s(z) + 5*o(z). Find the second derivative of j(r) wrt r.
-24*r**2
Let y be 98/28 + 1/2. What is the third derivative of -5*w**2 + 5*w**5 - 5*w**4 + 0*w**y + 5*w**4 wrt w?
300*w**2
Let l be ((-3)/4)/(1/(-4)). What is the derivative of v**4 + 0*v**3 + 4*v**4 + 5 + 0*v**l wrt v?
20*v**3
Let z(k) be the second derivative of 0*k**6 + 0 + 5/12*k**4 + 0*k**3 + 0*k**2 + 2/21*k**7 + 0*k**5 - 6*k. What is the third derivative of z(u) wrt u?
240*u**2
Let n = 5 + -3. What is the derivative of 3 - 2*m - n + 0 wrt m?
-2
Let g(s) be the second derivative of 7*s**4/6 + 3*s**3 + 23*s. What is the second derivative of g(c) wrt c?
28
Suppose -5*u - 13 = -r, 3*r - 3*u = r + 12. Let g = r + -1. Differentiate -2 + 0 + g*v**4 + 0*v**4 with respect to v.
8*v**3
Find the third derivative of -6*u**2 - 34*u**3 + 15*u**3 - 2*u - 22*u**2 wrt u.
-114
Let g = -55 + 58. Let z(h) be the second derivative of h + 1/4*h**4 + 0*h**2 + 0 - 2/3*h**g. Find the second derivative of z(a) wrt a.
6
Suppose -b + 5*v + 27 = -0*b, -2*v - 18 = -4*b. Let p(q) be the second derivative of 0 + q - 1/6*q**3 - q**b. What is the first derivative of p(r) wrt r?
-1
Let c(j) be the first derivative of 4*j**2 + 18*j - 13. Differentiate c(a) wrt a.
8
Suppose g + 2*z + 6 = -0*g, 2*g - 3*z - 23 = 0. Let s(i) be the second derivative of 0*i**3 + 0 + 2*i + 1/6*i**g - 1/2*i**2. Differentiate s(b) wrt b.
4*b
Let n(c) be the second derivative of -c**7/7 - 5*c**4/12 - 3*c. What is the third derivative of n(a) wrt a?
-360*a**2
Let h(a) = -a**4 - a**3 + a. Let l(s) = 57*s**4 + 3*s**3 - 3*s - 33. Let w(r) = 3*h(r) + l(r). Differentiate w(x) with respect to x.
216*x**3
Let l(y) be the second derivative of -y**9/126 + y**5/20 + y**2/2 - y. Let o(d) be the first derivative of l(d). What is the third derivative of o(g) wrt g?
-480*g**3
Let g(a) = -12*a**3 + a**2 - 7*a + 7. Let c(y) = -6*y**3 + y**2 - 3*y + 3. Let v(p) = 7*c(p) - 3*g(p). Find the third derivative of v(h) wrt h.
-36
Let z(c) be the third derivative of -3*c**2 + 1/105*c**7 + 0 + 1/3*c**3 + 0*c**6 + 0*c**5 + 0*c**4 + 0*c. Differentiate z(p) with respect to p.
8*p**3
Let t = -19 + 18. Let d(q) = 3 + 1 - 6. Let v(g) = -g. Let n(w) = t*d(w) - 2*v(w). Find the first derivative of n(j) wrt j.
2
Let d be -2*(-1 - (-2 + 0)). Let s be d/(-3) + 50/6. What is the third derivative of s - o**5 + 3*o**2 - 9 wrt o?
-60*o**2
Suppose d - 2*j + j = 7, -5*d - 3*j = -3. What is the third derivative of 4*b**2 + 2*b**3 - 2*b**d + 0*b**3 - 4*b**4 wrt b?
-96*b
Suppose -3*o + 2 - 14 = 0. Let d = 2 - o. Find the third derivative of i**6 + i**2 - i**6 + 2*i**d wrt i.
240*i**3
Let g(h) = 14*h**4 - 6. Let n = 25 + -8. Let r(j) = 41*j**4 - 18. Let t(s) = n*g(s) - 6*r(s). What is the first derivative of t(d) wrt d?
-32*d**3
Let h(r) = -4*r**2 + 5*r - 16. Let y(c) = 5*c**2 - 5*c + 18. Let l(b) = -2*h(b) - 3*y(b). Find the first derivative of l(q) wrt q.
-14*q + 5
Find the third derivative of -7*q**5 + 16*q**2 - 2*q**5 - 9*q**5 wrt q.
-1080*q**2
Let c be 40/24 - (-2)/6. Let w(q) be the second derivative of q**2 + 1/3*q**3 + c*q + 0. Differentiate w(y) wrt y.
2
Let j(l) = -l**2 - 2*l. Let z be j(-2). What is the third derivative of 3*u**4 - 3*u**2 + z*u**2 + u**2 wrt u?
72*u
Let i(p) = 4*p + 12. Let z(u) = 2*u + 3 + 2*u + 14 - 6. Let d(x) = -6*i(x) + 7*z(x). Differentiate d(c) with respect to c.
4
Let k(g) be the third derivative of g**9/504 - g**6/90 + 7*g**3/6 + 2*g**2. Let m(i) be the first derivative of k(i). Find the third derivative of m(x) wrt x.
360*x**2
Let h(n) = n**4 - 1. Let l(w) = -12*w**4 - 10*w**2 + 4. Let z(m) = -4*h(m) - l(m). What is the third derivative of z(f) wrt f?
192*f
Let m(l) be the first derivative of -13*l**6/6 - 5*l**3/3 - 11. Find the third derivative of m(v) wrt v.
-780*v**2
Let k be (-30)/4*(-12)/15. Find the second derivative of -r + k*r + r + r - 3*r**2 wrt r.
-6
Let i(f) = -f**3 + 6*f**2 + 7*f + 3. Let p be i(7). Let r(b) = -b**3 - 8*b**2 - 7*b + 3. Let k be r(-7). Differentiate -2*y**2 - p*y**2 + k*y**2 + 1 wrt y.
-4*y
Let x be (-1)/3*(-4)/8. Let q(c) be the second derivative of x*c**4 + 2*c + 1/6*c**3 + 0 + 0*c**2. Find the second derivative of q(g) wrt g.
4
Let o(f) be the second derivative of -f**7/168 - f**6/120 - f**3/6 + 5*f. Let h(p) be the second derivative of o(p). Find the third derivative of h(n) wrt n.
-30
Suppose -y + 3 = 1. Find the third derivative of 0*h**5 + 6*h**2 - 7*h**2 - y*h**5 wrt h.
-120*h**2
Let s(u) be the second derivative of -17*u**6/30 - 13*u**4/12 + 8*u. What is the third derivative of s(l) wrt l?
-408*l
Let j(s) be the first derivative of s**6/3 + 3*s**3 - 4. What is the third derivative of j(a) wrt a?
120*a**2
Let y(z) = -z**2 + 5*z + 8. Let p be y(6). Find the second derivative of 4*v**2 + v**3 - 4*v**p - 3*v wrt v.
6*v
What is the third derivative of 5*x**6 + 5*x**2 - 7*x**6 - 11*x**6 - 12*x**6 wrt x?
-3000*x**3
Let w(l) be the second derivative of -3*l + l**2 + 0*l**3 + 3/20*l**5 + 0 + 0*l**4. Differentiate w(s) wrt s.
9*s**2
Let n(k) = 27*k**4 - 6*k**2 - 17*k + 6. Let s(c) = c**4 - c**2 - c + 1. Let i(h) = n(h) - 6*s(h). Find the second derivative of i(y) wrt y.
252*y**2
Find the first derivative of 5*j**2 - 30 + 32 - 20 + 9*j**2 wrt j.
28*j
Let y(l) be the second derivative of 6*l**3 + 3*l**2 - 17*l. Differentiate y(p) with respect to p.
36
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 + 2*q + 1. Let t be m(-1). Let o be -28 + t/((-6)/4). Let h = o + 28. Let r(u) = 3*u**2 + 2*u. What is r(h)?
8
Suppose -2*q = -6, 3*p + 2*q - 6*q = 87. Let g = p - 34. Let d(t) = 3*t - 1. What is d(g)?
-4
Suppose x = -4*a + 11, -a - 2*x + 8 = -0*a. Let q(u) = -13*u**2 - 19*u + 11. Let v(r) = -5*r**2 - 8*r + 5. Let n(o) = -2*q(o) + 5*v(o). Calculate n(a).
3
Suppose -t - 20 = 60*c - 55*c, -9 = 3*t - 2*c. Let k(p) = p**3 + 5*p**2 + p - 4. Give k(t).
-9
Let x(h) be the first derivative of -3*h**2/2 - h + 46. What is x(-4)?
11
Let j(y) be the third derivative of 0*y + 8*y**2 - 1/24*y**4 + 1/3*y**3 + 1/60*y**5 + 0. Give j(-2).
8
Let s(h) = h. Let m(i) = i**3 + 17*i**2 - 19*i - 12. Let l be (-6)/((-2)/(-6)*-3)*-3. Let y be m(l). Determine s(y).
6
Let o(c) = c + 5. Let r = -7 + 3. Let x be 24/((-16)/r) - 2. Suppose 14 = -x*w - 2*u, 3*u + 2 + 1 = -3*w. Calculate o(w).
-1
Suppose -2 = -l - 8. Let f(h) = h**3 + 5*h**2 - 6*h - 5. What is f(l)?
-5
Let d(p) be the second derivative of p**5/20 + 11*p**4/12 - 13*p**3/6 - 9*p**2/2 - p. Let w be d(-12). Let h(f) = 2*f - 1 + 1 + 0*f. What is h(w)?
6
Let r(o) = o**3 - 6*o**2 - 6. Suppose 2*v = 6, -3*c + 4*v + 9 = -0*c. Suppose c = -7*h + 49. Determine r(h).
-6
Let k(p) = p**3 + 10*p**2 + 23*p + 15. Let r be k(-7). Let t(c) = -7*c + 3*c + 5*c - 2*c. Calculate t(r).
-1
Suppose -4*a + 2*a + 5*t = 25, -5*a - 19 = 2*t. Let k(x) = 7*x - 7. Determine k(a).
-42
Let k(y) = 4194*y + 1 - 1398*y - 1403*y - 1397*y. Determine k(-4).
17
Let a(p) = -p**2 - 10*p - 11. Suppose 0 = 12*j - 51 - 9. Suppose j*t = g + 4*g - 50, -2*g + 4 = 0. Determine a(t).
5
Let k = 11 + -12. Let b be (-96)/(-3) + 2 + k. Let j(w) = -b + 33 + w. Give j(1).
1
Let r(m) be the third derivative of 1/12*m**4 + 0 + 1/3*m**3 + 0*m + 1/60*m**6 + 0*m**5 + 11*m**2. Calculate r(-2).
-18
Let h(r) = -r**2 - 6*r - 9. Suppose -3*w - 6 = 0, -7 = 4*v - 2*w + 13. Give h(v).
-9
Let j(v) be the second derivative of v**3/3 + 3*v**2/2 + 2420*v. Suppose -5*t = 4 + 6. What is j(t)?
-1
Let x(y) = -y**2 + 7*y - 3. Let a = -23 - -5. Let f be (-48)/a - 1/(-3). Determine x(f).
9
Let s(a) = 163*a + 175*a + a**2 + 166*a - 498*a. Calculate s(-5).
-5
Let a(l) = -l**3 + 5*l**2 - l + 2. Suppose -3*n = -9*n. Suppose 0 = 3*o - 5*b - 15, -2*b = -n*b. What is a(o)?
-3
Suppose 6 = 2*r - 4. Let d(y) = -y**2 - y + 11. Let b be d(r). Let x = 16 + b. Let l(c) = 2*c**2 + c - 3. Give l(x).
12
Let o(n) = 6*n**3 - n**2 + 3*n**3 - 8*n**3 - 1 - 3*n. Suppose -5*f = 4*r + 18, -4*f = -5*r + 3 - 5. Calculate o(f).
-7
Let r(v) = -6*v**2 - 12*v - 3. Let c(y) = -y**2 - y - 1. Let g(x) = 5*c(x) - r(x). Calculate g(-5).
-12
Let s(y) = -y**3 - 3*y**2 + 2*y + 1. Let r(c) = 5*c**3 + 2*c**2 - 3*c - 7. Let i(f) = -r(f) - 4*s(f). Give i(10).
-47
Let m(x) = 2*x**3 - 3*x**2 - 2*x + 4. Suppose 9*u + 7 = 6*u - 4*v, 3*u + v - 5 = 0. Determine m(u).
25
Let n(c) = 18*c + 20. Let x(l) = 8*l + 9. Let i(u) = -3*n(u) + 7*x(u). Calculate i(-2).
-1
Let r = -6 + 1. Let q(t) = 1 - 81*t**3 - 6*t**2 - 4*t + 4 + 80*t**3 - 1. Calculate q(r).
-1
Let h(t) = t**2 + 7*t - 22. Let v(r) = -2*r**3 + 14*r**2 - 3*r + 12. Let s be v(7). Calculate h(s).
-4
Suppose -61*o + 62*o + 2 = 0. Let h(d) = -d**2 + 1. Give h(o).
-3
Let z(h) = 32*h - 410. Let o be z(13). Let n(w) = 3*w + 9. Let x(v) = -4*v - 9. Let c(k) = 5*n(k) + 4*x(k). What is c(o)?
3
Let y(u) = -29*u**3 + 2*u**2 + 2*u + 1. Let s be -1*2 - 10/60*-6. Give y(s).
30
Let n(z) be the second derivative of -z**6/720 + z**5/60 + z**4/2 + z**2/2 + 6*z - 1. Let i(k) be the third derivative of n(k). What is i(6)?
-4
Suppose 357 = -30*c - 21*c. Let j(l) = 2*l + 3. Calculate j(c).
-11
Let y(l) = -l**2 + 2*l - 5. Let s(k) = k**3 + 35*k**2 + 99*k + 99. Let m be s(-32). Give y(m).
-8
Let a(l) = -12*l**3 + 21*l**2 - 2*l - 8. Let d(o) = -16*o**3 + 29*o**2 - 3*o - 11. Let b(i) = 11*a(i) - 8*d(i). Suppose -p + 5*p = -8. Determine b(p).
24
Let q(d) = -d**3 - 3*d**2 + 7. Let h be q(-3). Let v(u) = -u**2 + 10*u - 10. What is v(h)?
11
Let z(m) = 5*m + 24. Suppose -50 + 100 = -10*h. What is z(h)?
-1
Let d(q) = 5*q**2 + 16*q - 8. Let a(h) = -8*h**2 - 17*h + 7. Let t(c) = 2*a(c) + 3*d(c). Give t(13).
3
Suppose -2*k - 5*z - 32 = 0, 2*z = 2*k - 0*z + 4. Let w be 44/16 - k/(-8). Let g(d) = d**w + d - 7*d + 1 - 3. Determine g(6).
-2
Suppose 0 = -0*v + 3*v + 2*v. Let p(i) = 2*i**2 + i + 2. Let u be p(v). Let x(c) = -c + 3. Give x(u).
1
Let q(y) = -2*y + 11. Let s be q(11). Let i = s - -15. Let d(w) = -2*w**2 - i*w**2 + 5 - w + 7*w**2 - 3*w. Determine d(4).
5
Let w(d) be the first derivative of 7*d**4/4 - d**3/3 - 100. What is w(-1)?
-8
Suppose 0 = 4*t - 0*t. Let c(p) = -2*p + 2 + 5*p + t*p. Suppose -95*o = 78 + 492. Give c(o).
-16
Let p(r) = -17 - 16 + 9*r - 6*r**2 - r**3 + 39. Calculate p(-7).
-8
Suppose 0 = -3*q + 39 + 18. Suppose 4*w - 7 = -q. Let z(s) be the second derivative of s**3/3 - s**2/2 - s. Calculate z(w).
-7
Suppose -73*k + 77*k = 20. Let b(g) = 7 + 39*g + 4 - 37*g - k. Give b(-4).
-2
Let r be 9/(-6)*8/(-6). Let q(s) = -s**2 - r + 5 - 4 + s + s**3. Let k(j) = -2*j**3 - 5*j**2 + 6*j - 6. Let i(m) = k(m) - 6*q(m). What is i(1)?
-7
Let f(g) be the second derivative of g**5/20 - 5*g**4/12 - 7*g**3/6 - g**2 + g + 129. Calculate f(6).
-8
Let w(a) = -a**2 + 6*a. Let s(b) = -2*b - 5. Let t be s(-5). Give w(t).
5
Suppose 5*v + 2*g - 13 = -2, -4*g - 17 = -3*v. Let z(x) = -4*x - 1. Let j(l) = 17*l + 5. Suppose 0*u = -2*u + 18. Let s(r) = u*z(r) + 2*j(r). Give s(v).
-5
Suppose 0*j = -4*j + 12. Let u be (4 - j) + (-2 - -1). Let k(x) = -2 + 5*x + 6 - 6*x. Give k(u).
4
Let o(s) be the first derivative of s**3/6 - s**2/2 - 8*s - 20. Let r(x) be the first derivative of o(x). Calculate r(2).
1
Let b(h) be the third derivative of h**6/120 + h**3/6 + 24*h**2. Calculate b(-1).
0
Let n(k) = 2*k**2 - 12*k + 5. Let r = -703 + 709. Calculate n(r).
5
Let p(a) = -a + 5. Suppose 4*d - 236 = -2*n, d + 353 = 3*n + 6*d. Let u = n - 112. Calculate p(u).
1
Let i be (16/(32/(-27)))/(3/(-4)). Let h(v) = v**2 - 19*v + 17. What is h(i)?
-1
Let y be (-2)/(-5)*(-5)/(-3). Let k(c) be the third derivative of 3*c**2 + 1/120*c**6 - 1/30*c**5 - 1/6*c**4 + 0*c + 0 + y*c**3. Give k(3).
1
Let r(a) = -5*a**3 + 3*a**2 - 2*a - 6. Let x(t) = -4*t**3 + 2*t**2 - t - 4. Let b(f) = -3*r(f) + 4*x(f). Calculate b(-2).
2
Let z(v) = -2*v**3 - 5*v**2 + 2*v + 1. Let t(l) = l**3 + 5*l**2 - 2*l - 2. Let b(r) = 3*t(r) + 2*z(r). Let p be 3/(20/(-16)*-4 + -4). Give b(p).
8
Suppose 4 = -3*j + 7. Let u be (j/3)/(17/102). Let i(r) = 3*r**2 + u*r**2 - 8*r**2 + r + 4*r**2. Give i(0).
0
Let x be (2/30*5)/((-1)/(-15)). Let p(r) = r**2 - 4*r + 5. Calculate p(x).
10
Suppose 4*i = -2*v + 8*i + 10, v - i - 5 = 0. Let z(u) = -u**3 + 5*u**2 + 2*u - 9. Calculate z(v).
1
Let y(t) = -5*t + 10. Let p(b) = 7*b - 9. Let d(n) = 2*p(n) + 3*y(n). Determine d(6).
6
Let a(j) be the second derivative of 1/20*j**5 - 7/2*j**2 + 1/6*j**3 + 0*j**4 - 10*j + 0. Give a(0).
-7
Let w(d) = -4 + 4 + 11 + 1 + 6*d. What is w(7)?
54
Let f(m) = -m**2 + m - 3. Let t be (-2 - -4) + 8 + -4. Determine f(t).
-33
Let n(v) = -3*v**3 - 6*v**2 + v + 4. Let p(s) = 4*s**3 + 7*s**2 - s - 4. Let z(u) = 3*n(u) + 2*p(u). Let y be 4/26 - (-162)/(-39). What is z(y)?
0
Let c(g) = 6*g**2 - 1. Let p be c(1). Let m(l) = l**2 - 7*l + 5. Let q be m(p). Let h(j) = j**3 + 5*j**2 + 2*j + 5. Determine h(q).
-5
Let i(n) be the third derivative of -2*n**4/3 + n**3/2 - 72*n**2 - 1. What is i(2)?
-29
Let j(u) = -3*u**2 + u - 3. Let d(x) = -19*x**2 + 7*x - 9. Let z(y) = -d(y) + 6*j(y). Give z(-4).
11
Suppose -5*u = 2 - 27. Let n(p) be the third derivative of -p**4/6 + p**3/6 + p**2. Let i(s) = 2*s - 1. Let f(k) = 5*i(k) + 2*n(k). Determine f(u).
7
Let t(z) = z**2 + 30*z + 23. Let s(u) = 7*u + 6. Let g(p) = -9*s(p) + 2*t(p). Give g(4).
12
Let c(q) = q**2 - 7*q. Let o be (-3 - (-1 + -2)) + 8. Let l = o - 14. Let d = 9 + l. Determine c(d).
-12
Let u(l) = l**3 + l**2 - l + 1. Suppose -14 = 3*a + 5*m, 3*a - 6 = 2*a + m. Suppose 3*h = 5*k + 14, -4 = 3*k - a*k. Calculate u(h).
-1
Let a(g) = g - 4. Let u(k) be the second derivative of -k**3/2 - 9*k**2/2 + 2*k. Let s be u(-9). Suppose 3*b - b - 5*r = -21, 2*r = -4*b + s. Give a(b).
-2
Let r(u) = 7*u + 5. Let c(t) = -3*t - 3. Let w = -3 - -1. Let q(l) = w*r(l) - 5*c(l). Suppose 4*s + 20 = -0*
|
{
"pile_set_name": "DM Mathematics"
}
|
4*o - 3 - 1 = f. Let j = n + 41. Solve 4 = -2*c + j*c for c.
2
Let a(s) = -3*s - 124. Let q be a(-42). Solve q*j - 6 = -16 for j.
-5
Suppose -9*y + 8*y + 5 = 0. Suppose u = -2*t - 1, -y*u + 1 + 1 = 3*t. Solve 4 - u = -3*h for h.
-1
Suppose 0 = -14*u + 13*u - 2, 0 = 3*a + 4*u - 13. Solve 0 = 4*z - a - 9 for z.
4
Suppose 3*j + 34 = -2*m + 9, m = -2*j - 13. Let x = m + 9. Let w be (0*x/8)/(-2). Solve w*v = v + 2 for v.
-2
Suppose 0*f - 2*f + 8 = 2*o, 5*f + 3*o = 12. Let r = 154 - 56. Suppose f = 5*n - g - r, -6 = -5*g + 2*g. Solve -d + n = -5*d for d.
-5
Let k(m) = -m. Let s be k(-3). Suppose 5*y - 3*x = 35, -s*y + 4 + 13 = -x. Solve y*i = 5 + 11 for i.
4
Let g be (-4)/6*(-5 + -1) - 4. Suppose h = 3*x + 11, g = -6*h + h - 2*x + 38. Solve 5*n - 3 = h*n for n.
-1
Suppose 0 = -4*v + 5*s - 4*s + 10, 2*v - 12 = -3*s. Let q(t) = -t**2 + 8*t - 10. Let j be q(v). Solve -j*a = -6*a - 1 for a.
-1
Let l(q) = -q**2 + 5*q + 7. Let c be l(6). Suppose 2*u - c = n - 2, -u = -3*n + 8. Suppose -3*r + 3*d - 6 = -3, 4*d - 8 = 0. Solve n = o + r for o.
2
Let w be 1/(-4) - (-21)/(-28). Let h be 4/8*12 + w. Solve h*n = 3*n for n.
0
Let s be (-30)/((-180)/12) - -1. Suppose -m + 4*m = 15. Solve -s*q + 4 = -m*q for q.
-2
Suppose -2985*i = -2984*i - 3. Solve 4*f - i = 7*f for f.
-1
Suppose 4*h - 12 = -0*h. Let m = h - 0. Suppose -7*b + 8 = -m*b - 3*p, 5*p - 45 = -5*b. Solve 0*z - 25 = b*z for z.
-5
Let h = -55 + 64. Suppose -7*m - 2 = -h*m. Solve 0 = -7*c + 6*c + m for c.
1
Let i = 3 - 2. Let f(c) be the second derivative of -c**4/12 + 3*c**3/2 + 6*c. Let k be f(9). Solve 4*q - 15 - i = k for q.
4
Let l(i) = i - 18. Let c be l(22). Suppose -5*x = -4*b - 69, 0*b - 68 = -5*x + 3*b. Suppose -4*m - 1 = -2*g - x, 5*g = 4*m - 18. Solve m = -c*w - 2 for w.
-1
Let o(l) = -l**3 + 4*l**2 - l + 2. Let q be o(3). Solve q = 5*g - 9*g for g.
-2
Suppose -39*k + 34*k + 25 = 0. Solve p - k = -0*p for p.
5
Let q(b) = b**3 - 9*b**2 + 7*b + 8. Let j(s) = -s**3 + 7*s**2 + 8. Let i be j(7). Let g be q(i). Solve -5 = h - g for h.
-5
Let h(a) = 4*a - 18. Let m be h(5). Let s = m - -1. Solve 0 = y - s*y - 6 for y.
-3
Let i(a) = -a**3 - 8*a**2 - 3*a - 9. Let y be i(-8). Let n = y - 16. Let d be (-4)/(-16)*n*-8. Solve d*t - 2 = 4*t for t.
-1
Suppose 18*o + 32 = 104. Solve -o*j + 15 = j for j.
3
Let r(j) = j**3 - 6*j**2 - 25*j - 13. Let y = -10 - -19. Let s be r(y). Let v be (-2)/(-8) + 11/4. Solve s = -v*g - 10 for g.
-5
Suppose 0*b = 2*b - 6. Suppose 0 = 57*w - 54*w - 9. Solve w + b = -2*c for c.
-3
Let v = -22 - -22. Suppose -4*o + 2*j - 3*j + 128 = v, 5*o - 3*j - 160 = 0. Suppose 5*r - o = r. Solve r = -2*i - 2 for i.
-5
Let l(b) = -b. Let y be l(-8). Let u = 10 - y. Suppose -u*h = -5*h + t + 14, -22 = -5*h + 3*t. Solve -5*v + h = -10 for v.
3
Let p(j) = j**3 + 15*j**2 + 27*j + 13. Let v be p(-13). Solve v*o = 2*o for o.
0
Let g be 2/(1 + 1)*0/(-11). Let s = -13 - -3. Let j be ((-8)/s)/((-5)/(-75)). Solve 4*c + 4 - j = g for c.
2
Suppose 7*o = 5*o + 16. Let c be ((-10)/1)/((-4)/o). Let b = c - 14. Solve -3*r = -9 - b for r.
5
Let y(x) = 2*x + 14. Let b be y(-4). Solve -b = 4*u + 14 for u.
-5
Let q(w) = w**3 + 3*w**2 - 5*w - 4. Let x(p) = 3*p + p + p - 2 - 6*p. Let u be x(2). Let r be q(u). Solve -z - z = r for z.
0
Let a be (-2 - 1 - 0) + 8. Suppose 2*n = 4*r + 4*n - 82, -4*r + 4*n = -52. Let h = r - a. Solve -2*c = h - 3 for c.
-5
Let u be (-18)/(-5) - 36/60 - -2. Solve -u*a = -10*a - 5 for a.
-1
Let f be ((-10)/8)/(1/(-4)). Suppose 0 = 6*r - 4*r - f*w - 25, -15 = 5*r + 3*w. Suppose p + 0 - 2 = r. Solve -3 = p*v - 5 for v.
1
Suppose 49 - 69 = -4*s. Solve 24 - 9 = s*a for a.
3
Suppose -3*n + 7*n + 3*v = 39, 6*n - 3*v = 21. Let c = 4 + -1. Solve c = -3*t - n for t.
-3
Suppose 14*g - 10*g = 84. Solve -5*m + 4 = -g for m.
5
Suppose 0 = t + 2*h - 24, t + 5*h - 16 = 2. Let m be (-1)/(-3 + 80/t). Solve -m*d = -9*d for d.
0
Suppose 2*s - 27 = 15. Let r(n) = n + 12. Let v be r(6). Let o = s - v. Solve 0 = o*w - 0 + 3 for w.
-1
Let n = 700 - 690. Solve -n*m + 4*m + 30 = 0 for m.
5
Suppose 0 = 3*s - 9, 20 = 3*r - 4*s + 8. Let b = r - 11. Let o = b - -4. Solve 4 + o = i for i.
5
Suppose -2*f = 3 - 17. Let z = -7 + f. Suppose -3*n + 2*n + 5 = z. Solve j = 2*j - n for j.
5
Let f be (4/6)/((-6)/(-27)). Suppose -7*q + 2*q = l - 55, 25 = 5*l. Suppose -6*p + q = 4. Solve -k - p = -f for k.
2
Suppose 2*n - 5*i - 11 = 0, -12 = -n - 4*i - 0. Solve 0 = 11*y + 36 + n for y.
-4
Let t = 2 - 0. Suppose 3*s - 4*d = 31, 4*s - 45 + 17 = t*d. Let c be (-9)/(9/(-3)) + -3. Solve c = -0*w - s*w - 10 for w.
-2
Suppose 3*p - 9*p = -282. Let d = p - 37. Solve -5*o - 30 = -d for o.
-4
Let d = 187 + -115. Suppose -6*q + 2*q + d = 0. Let j = -13 + q. Solve -j*u - 24 = -9 for u.
-3
Let b be 28/8 - (27/6 - 4). Suppose 3*z - 42 = -r, z = b*r + r + 27. Solve -z = -6*o + 3*o for o.
5
Suppose h = -3*i + 7*i, -2*h = -4*i - 4. Let j be (h/(-6))/((-5)/15). Solve -y - 12 = j*y for y.
-4
Suppose -5*m - 4*w - 13 = -4*m, 1 = w. Let l = m - -22. Solve -l*d - 10 + 0 = 0 for d.
-2
Let b(z) = -6 - 33*z + 21*z - 9 + z**2. Let f be b(14). Suppose -33 + f = -5*u. Solve 0*m - m + u = 0 for m.
4
Suppose 2*t = 4*w + 64, t - 2*w = -7*w - 3. Let v = 14 - 9. Let m = 234 - 232. Solve -m = -v*h - t for h.
-4
Let l(x) = -x**3 + x - 1. Let z(g) = -4*g**3 - 6*g**2 - 2*g - 5. Let w(b) = 5*l(b) - z(b). Let j be w(7). Solve -2*t - 3*t - 25 = j for t.
-5
Let r be 22/3 - (10 - 174/18). Solve 10*k = r*k - 9 for k.
-3
Suppose -30 = -n + 23. Let g = n - 32. Let a be 20/6 - 7/g. Solve -t = -a*t + 2 for t.
1
Suppose -5*h + 4*h + 17 = 0. Solve 5*s + 8 = -h for s.
-5
Suppose 15*l - 60 = 12*l. Let d = l + -5. Solve -j = -4*j - d for j.
-5
Let v = -77 - -73. Let a(c) = c**2 + c - 9. Let k be a(v). Solve -3*r + 0 = -k for r.
1
Let y be (-2)/(-4)*8 + 0. Suppose 5*f - 63 = -0*f - 4*w, 51 = 5*f - 2*w. Suppose f*x = 13*x - 4. Solve 2*b + y = -x for b.
-3
Suppose -z - 2*z = 0. Let m(x) = x + 5. Let c be m(z). Let r(v) = 137*v - 680. Let u be r(5). Solve -10 + c = u*f for f.
-1
Suppose 3*k = 3*s - 141 + 27, 0 = -2*s + 5*k + 70. Solve 3*a = -5*a + s for a.
5
Suppose 2*w = -r + 268, 0 = -4*w - 4*r + 5*r + 524. Solve -5*v + w = 142 for v.
-2
Let y(r) = -r + 21. Let o(i) = -1. Let j(m) = 18*o(m) + 2*y(m). Let h be j(12). Solve 2*c - 2 + 8 = h for c.
-3
Suppose 20*j - 200 + 40 = 0. Solve j = 2*i + 2*i for i.
2
Let j(m) = m**3 - 21*m**2 + 38*m + 3. Let h be j(19). Suppose -15*w + 12*w + 51 = 0. Let k be 5*(1 + -2 + 2). Solve k*g = h + w for g.
4
Let i(a) = a + 18. Let y be i(-18). Suppose y = -4*o + 60 - 48. Solve -n = -o*n for n.
0
Let f = 192 - 189. Solve -6 = -z - f for z.
3
Suppose 7*k - 28 = 2*k - 3*n, 17 = 4*k - 3*n. Solve 3 + k = 2*l for l.
4
Let a be (2/4)/(868/96 + -9). Solve a*z + 16 = -32 for z.
-4
Let j(b) = -b**3 + 9*b**2 + 9*b + 12. Let v be j(10). Let k(g) = 8*g**2 - v*g**3 + 4*g**3 - 9*g + 6 - g**3. Let r be k(-9). Solve r = -z + 4*z for z.
2
Let t(v) = v - 14. Suppose y = -3*y + 104. Suppose -2*d + 38 = 3*i, -2*d = -3*i + 84 - y. Let w be t(i). Solve -4 - 6 = -w*j for j.
5
Suppose 8*t = 10*t - 130. Suppose -60 = -69*o + t*o. Solve -o = -10*j + 5*j for j.
3
Let k(x) = -3*x - 31. Let z be (12/(-18))/(3/54). Let t be k(z). Solve -5*s - 20 = t for s.
-5
Suppose 0 = 3*i - 2*i - 12. Let g(p) = 5*p. Suppose -9 = -4*s + 5*w, 4 = s - 2*w + 1. Let y be g(s). Solve i + 3 = -y*a for a.
-3
Suppose 19*g - 8 + 8 = 0. Solve g = 29*v - 74 + 16 for v.
2
Let c(q) = -q + 13. Suppose 2*k = -5*a + 57, 0 = a - k + 4 - 14. Let v be c(a). Suppose -o = -v - 0. Solve o*s - 4*s - 6 = 0 for s.
-3
Suppose 2 = 3*s + 5. Let r be 0*s/2*1. Solve -10 = -r*w + 2*w for w.
-5
Suppose -2*p + 18 = -2*y, 4*y = 4*p + 5*y - 11. Solve -1 = -p*r - 21 for r.
-5
Suppose -106*c + 61*c + 135 = 0. Solve 4*s - 9 = c for s.
3
Suppose y = -2*z + 12, 4*z + 4*y = 36 - 4. Let w be 0 - -1 - (-1 - -2). Solve z*p + p = w for p.
0
Suppose l - 46 = -5*i, -3*l - 3*i = -0*i - 78. Suppose 0*k - 3*k = 2*b - l, 4*b = 5*k - 13. Suppose 6 = k*c - 4*c. Solve -c*s = -3*s for s.
0
Let t(y) = -2*y**2 - 4*y - 2 + 4*y**2 - y**3 - 7*y**2. Let r be t(-4). Let a be (8/(-10))/(r/5). Solve 0 = a*x + 2 + 2 for x.
-2
Let j(s) = -3*s + 4. Let d be j(-3). Solve -14*k = -d*k - 5 for k.
5
Let o be (-1)/((-6)/84*2). Solve 0 = 2*k + o*k - 27 for k.
3
Le
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{
"pile_set_name": "DM Mathematics"
}
|
1)/3
Suppose -4 = -n + 2. Let m = -4 + n. Factor -c**2 + 3*c**2 + m + 0*c**2 + 4*c.
2*(c + 1)**2
Let a be (-74)/45 - (0 - 2). Let o(w) be the second derivative of -8/15*w**5 - 1/18*w**4 + 0 + 1/9*w**3 - 2*w + 0*w**2 + a*w**6. Find y, given that o(y) = 0.
-1/4, 0, 1/4, 1
Factor 56/5*l**2 + 3/5*l**4 + 0 + 16/5*l + 5*l**3.
l*(l + 4)**2*(3*l + 1)/5
Let u(q) = -q**2 + 2*q - 1. Let z(y) = y**3 + 14*y**2 + 14*y + 19. Let b be z(-13). Let w(l) = -9*l**2 + 16*l - 7. Let s(m) = b*w(m) - 51*u(m). Factor s(k).
-3*(k - 1)*(k + 3)
Suppose 8 = -7*j + 9*j. What is v in -15/4*v + 9/4*v**2 + 3/4*v**3 + 3/2 - 3/4*v**j = 0?
-2, 1
Let l = -92 + 94. Factor 1/2*c**2 + l + 2*c.
(c + 2)**2/2
Let w = -1/6 - -5/6. Determine p so that -w - p**2 - 3*p + 4/3*p**3 = 0.
-1, -1/4, 2
What is n in 2/5*n - 2/5*n**3 - 2/5*n**4 + 0 + 2/5*n**2 = 0?
-1, 0, 1
Let l(n) = -n**2 + 3*n + 1. Suppose 4*k - 19 = -7. Let z(g) = -k*g + 5*g - g. Let d(s) = -l(s) + 3*z(s). Let d(c) = 0. Calculate c.
-1, 1
Let w(j) be the third derivative of j**8/5040 - j**6/540 + j**4/72 - j**3 - j**2. Let f(p) be the first derivative of w(p). Factor f(h).
(h - 1)**2*(h + 1)**2/3
Let u = 1 - -1. Factor 4*g**2 - u*g - g**3 - 4*g**3 + 3*g**3.
-2*g*(g - 1)**2
Factor -4/3*k**2 + 0 + 2/3*k - 2/3*k**5 + 4/3*k**4 + 0*k**3.
-2*k*(k - 1)**3*(k + 1)/3
Suppose -10*o + 16 = -6*o. Let k be ((-9)/(-24))/(o/8). Factor -1/2*g + 1/4*g**2 + 0 + k*g**3.
g*(g + 1)*(3*g - 2)/4
Suppose 3*c - 12*k + 16*k + 5 = 0, 0 = 5*c + 3*k - 10. Find z, given that -3/5*z**3 - 3/5*z**4 + 0*z - 1/5*z**2 - 1/5*z**c + 0 = 0.
-1, 0
Let w be 1/(-2)*(3 + -3). Suppose 5*s - 6 - 4 = w. Factor -k - k**2 + k**s + k**2 + 2*k.
k*(k + 1)
Let u(j) = -2*j**2 - 3 + 0 + 3 + 4*j**3. Let g be u(2). Determine r, given that -g*r + 3*r**2 + 8 + 10*r**3 + 4 - 12*r**2 + 17*r**3 = 0.
-1, 2/3
Let c(h) be the first derivative of -10*h**6 + 424*h**5/5 - 280*h**4 + 448*h**3 - 352*h**2 + 128*h - 17. Find x such that c(x) = 0.
2/5, 2/3, 2
Let l(u) = 2*u - 3 - u**4 + u - 2*u**3 + u**2 - u. Let n(i) = 148 + 3*i - i**3 - 149 - 2*i. Let y(s) = 2*l(s) - 6*n(s). Find d such that y(d) = 0.
-1, 0, 1
Let u(v) be the second derivative of 0*v**2 + 0 - 1/10*v**5 + 0*v**3 - v + 1/30*v**6 + 1/12*v**4. Factor u(c).
c**2*(c - 1)**2
Let q = -275/12 + 23. Let p(l) be the third derivative of 0*l + 0 - q*l**4 + l**2 - 1/30*l**5 + 0*l**3. Factor p(v).
-2*v*(v + 1)
Find j such that -3*j**4 - 3*j - 304*j**2 - 3*j**5 + 3 + 6*j**3 - 6 + 310*j**2 = 0.
-1, 1
Let f(i) be the second derivative of 0 + 1/12*i**4 - i - 1/2*i**2 + 0*i**3. Factor f(a).
(a - 1)*(a + 1)
Suppose 0*r - 1125 = -5*r. Find p such that 225 + p**3 - r - p**5 = 0.
-1, 0, 1
Let m(b) be the third derivative of b**5/100 + 3*b**4/40 + b**3/5 - 35*b**2. Find t, given that m(t) = 0.
-2, -1
Let c(h) be the third derivative of -h**8/112 - 3*h**7/70 - h**6/20 + h**5/10 + 3*h**4/8 + h**3/2 - 13*h**2. Factor c(w).
-3*(w - 1)*(w + 1)**4
Suppose -32/3*j + 2/3*j**2 + 128/3 = 0. Calculate j.
8
Solve 2*r**4 + 2*r**5 - 3*r**4 - r**4 + 0*r**5 = 0 for r.
0, 1
Let r be 462/12*(-6)/9. Let t = 27 + r. Find h such that 6*h**3 - 40/3*h**2 + 26/3*h - t = 0.
2/9, 1
Factor 9/2 + 30*q + 50*q**2.
(10*q + 3)**2/2
Factor 0*z**2 - 1/6*z**3 + 0*z + 0 - 2/3*z**4.
-z**3*(4*z + 1)/6
Let g(b) be the first derivative of b**3 - 9*b**2 + 27*b - 17. Factor g(w).
3*(w - 3)**2
Suppose -10*n**2 - 2*n**3 + 7*n**4 + n**4 - 6*n - 6*n**4 = 0. Calculate n.
-1, 0, 3
Let l(w) be the second derivative of -w**9/37800 + w**7/6300 - w**4/4 + w. Let s(t) be the third derivative of l(t). Let s(z) = 0. Calculate z.
-1, 0, 1
Let d(z) be the third derivative of 1/4*z**4 + 9/20*z**5 + 0 + 0*z + 0*z**3 + 2*z**2. Factor d(f).
3*f*(9*f + 2)
Suppose d - 16 = 5*n, -n - 128 = -3*d - 2*d. Suppose 3*t + 4 = -b + 21, -4*t = 3*b - d. What is k in 1/3*k**3 - 1/3*k**5 + 0 - 1/3*k**4 + 0*k + 1/3*k**b = 0?
-1, 0, 1
Let s(f) be the third derivative of -3*f**5/100 + 47*f**4/120 - f**3/3 - 18*f**2. Find c, given that s(c) = 0.
2/9, 5
Let r(j) be the first derivative of -5*j**4/12 + 2*j**3/3 - j**2/6 - 5. Let r(a) = 0. Calculate a.
0, 1/5, 1
Let m(f) be the first derivative of -21*f**4/16 - f**3/4 + 3. Factor m(q).
-3*q**2*(7*q + 1)/4
Let r be 3 - (3/5 + (-94)/(-60)). Let b(l) be the second derivative of -r*l**4 - 4*l**2 + 1/10*l**5 + 8/3*l**3 + 2*l + 0. Factor b(m).
2*(m - 2)**2*(m - 1)
Let l(y) be the second derivative of 3*y - 1/4*y**4 - 2*y**3 + 0 - 6*y**2. Factor l(s).
-3*(s + 2)**2
Let a(o) = 18*o**3 - o**2 + 7*o + 6. Let b(q) = 17*q**3 - 2*q**2 + 6*q + 5. Let i(p) = 5*a(p) - 6*b(p). Find d such that i(d) = 0.
0, 1/4, 1/3
Factor -3/5*f**5 + 3/5*f**3 + 0 + 0*f - 3/5*f**2 + 3/5*f**4.
-3*f**2*(f - 1)**2*(f + 1)/5
Let i(k) be the first derivative of 1/8*k**4 + 1/3*k**3 - 3/4*k**2 + 0*k - 1. Factor i(t).
t*(t - 1)*(t + 3)/2
What is w in 20/3*w**4 - 4/3 - 16/3*w**2 - 8/3*w**5 - 8/3*w**3 + 16/3*w = 0?
-1, 1/2, 1
Let v(o) be the second derivative of -o**7/63 - o**6/45 + o**5/30 + o**4/18 - 4*o. Factor v(b).
-2*b**2*(b - 1)*(b + 1)**2/3
Determine m so that 125/3*m**4 - 180*m**2 - 32/3 + 350/3*m**3 + 232/3*m = 0.
-4, 2/5
Let j(c) be the first derivative of 27/4*c - 9/4*c**2 + 4 + 1/4*c**3. Find o such that j(o) = 0.
3
Let d = -19 + 19. Factor 4/5 + 2/5*c**3 - 6/5*c + d*c**2.
2*(c - 1)**2*(c + 2)/5
Let s(u) be the first derivative of -2*u**6/3 - 4*u**5/5 + 3*u**4 + 20*u**3/3 + 4*u**2 + 8. Find r such that s(r) = 0.
-1, 0, 2
Let y(t) be the third derivative of t**6/360 + t**5/90 - t**4/24 + 17*t**2. Solve y(g) = 0.
-3, 0, 1
Suppose -5*t - 19 = -5*z - 2*t, 4*z - 2*t = 14. Solve 27 + 3*k**z + 4*k - 18*k - 4*k = 0.
3
Let q(f) be the first derivative of -f**4 - 4*f**3/3 + 10*f**2 - 12*f + 16. Factor q(t).
-4*(t - 1)**2*(t + 3)
Let r(i) be the third derivative of i**5/15 + i**4/3 + 12*i**2. Factor r(z).
4*z*(z + 2)
Let i(u) be the second derivative of -u**5/15 + u**4/9 + 4*u**3/9 - 14*u. Determine t, given that i(t) = 0.
-1, 0, 2
Let v = 59/114 - 1/57. Factor -1/4*g**2 + 0 + 1/4*g**3 - v*g.
g*(g - 2)*(g + 1)/4
Find q, given that -9*q**4 + 22*q - 21*q**2 + 12 - 65*q + 31*q + 30*q**3 = 0.
-2/3, 1, 2
Let w(f) be the second derivative of -3/8*f**4 - 1/20*f**5 + f**2 - f**3 - 3*f + 0. Let n(m) be the first derivative of w(m). Factor n(g).
-3*(g + 1)*(g + 2)
Let w(h) be the first derivative of h**6/270 - h**5/120 - h**4/72 - 5*h**3/3 + 4. Let m(x) be the third derivative of w(x). Factor m(y).
(y - 1)*(4*y + 1)/3
Suppose a**2 + 0*a**2 - a**4 + 144*a + 0*a**4 - a**3 - 143*a = 0. What is a?
-1, 0, 1
Let w(c) = c**2 - c. Let s be w(2). Factor -12*d + 4 - 5 + 9 + 4*d**s.
4*(d - 2)*(d - 1)
Let i be (-3 - -4 - 7)*(-1)/2. Let l(u) be the first derivative of 1/2*u - i + 1/2*u**2 + 1/6*u**3. Factor l(j).
(j + 1)**2/2
Let y(u) be the second derivative of 1/20*u**5 + 0*u**3 - 1/42*u**7 + 0 + 0*u**2 - 1/12*u**4 + 1/30*u**6 + 3*u. Factor y(a).
-a**2*(a - 1)**2*(a + 1)
Suppose 21 = 3*g - 4*j, -g - j = 3*g - 9. Factor -12 - 4*h**2 + g*h**3 - 3*h - 6*h**2 - 5*h**2 + 27*h.
3*(h - 2)**2*(h - 1)
Let z(r) = 2*r**2 + 3*r + 3. Let g be z(-2). Suppose 6*n + g*i = 3*n + 10, -4*i = n - 1. Find u, given that 3*u**4 + 5*u**4 + u**3 - n*u**4 = 0.
-1/3, 0
Let w = 0 + 3. Factor -4*k**5 + 8*k**5 - k**4 + w*k**4 + 2*k**4.
4*k**4*(k + 1)
Let d(u) be the first derivative of u**3 - 3*u - 11. Factor d(t).
3*(t - 1)*(t + 1)
What is y in 11/7*y**2 - 4/7 - 25/7*y**4 + 12/7*y - 30/7*y**3 = 0?
-1, 2/5
Let i be (1 - (-21)/(-9)) + -1 + 3. Factor 0*s**3 + 0 + i*s**2 + 0*s - 2/3*s**4.
-2*s**2*(s - 1)*(s + 1)/3
Let x be 12/54 + (-300)/(-108). Find d, given that 4/3*d**2 + 1/3*d - 2/3 + 1/3*d**5 - 2/3*d**x - 2/3*d**4 = 0.
-1, 1, 2
Determine c, given that 1/7*c**2 + 6/7 + c = 0.
-6, -1
Let r = 150 - 73. Let d be 1/(-2) - r/(-66). Let -4/9*x**4 - 2/9*x + d*x**2 - 2/9 + 2/9*x**3 = 0. Calculate x.
-1, -1/2, 1
Let r(l) = l**3 + 1. Let k(m) = -5*m**3 - 2*m**2 + 2*m - 1. Let b(d) = -2*d**2 - 8*d + 7. Let g be b(-5). Let o(y) = g*r(y) - k(y). Factor o(u).
2*(u - 1)*(u + 1)**2
Let i be -1 - -2 - 60/64. Let h(y) be the first derivative of 0*y + 1/24*y**6 + 0*y**3 + 1/10*y**5 - 2 + i*y**4 + 0*y**2. Factor h(l).
l**3*(l + 1)**2/4
Let b = -50/19 + 502/133. What is d in 1/7*d**3 - 4/7 + b*d - 5/7*d**2 = 0?
1, 2
Factor -41425*c**2 - 20495*c**3 + 7106*c - 1681 - 3815*c**4 - 819 - 245*c**5
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{
"pile_set_name": "DM Mathematics"
}
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- 4*t**4 + 2*t**4. Let i(g) = -7*g**4 + 5*g - 7. Let y(l) = 5*b(l) + 2*i(l). What is the first derivative of y(h) wrt h?
4*h**3
Suppose 2*t = -t. Suppose -2*z = g + z - 8, -3*g + 4*z - 2 = t. What is the second derivative of 2*s**3 + g*s - 2*s**3 - 2*s**4 wrt s?
-24*s**2
Let j(r) be the first derivative of 6*r**5/5 + 3*r - 1. Differentiate j(f) with respect to f.
24*f**3
Suppose a + 4*d - 6 = 3*d, -a + 18 = 4*d. Let i(u) = 11*u**2 + 24. Let w(q) = -3*q**2 - 6. Let t(z) = a*i(z) + 9*w(z). Find the first derivative of t(j) wrt j.
-10*j
Let c(f) = -25*f**3 - 6*f**2 - f - 6. Let q(r) = -r**3 - r**2 - 1. Let k(m) = -c(m) + 6*q(m). What is the second derivative of k(p) wrt p?
114*p
Let o(i) = -i - 9. Let b be o(-13). Differentiate -4 + b + p**4 - 1 wrt p.
4*p**3
What is the third derivative of -125*p**3 + 125*p**3 + p**2 + 4*p**4 wrt p?
96*p
Let q(b) be the first derivative of -4*b**3/3 - 6*b - 1. Find the first derivative of q(s) wrt s.
-8*s
Let t be (10/(-4))/((-1)/(-2)). Let n = t + 8. Find the first derivative of n*m**2 - 7*m - 2 + 7*m wrt m.
6*m
Suppose 0 = -4*u + 2*u + 8. Suppose a - 13 = 3*q, -2*a + 6 + 12 = -u*q. What is the second derivative of a + 1 + 2*g**3 + 3*g - 2 wrt g?
12*g
Find the third derivative of 11*v + 8*v - 20*v**2 - 2*v**5 - 19*v wrt v.
-120*v**2
Suppose 3*s = -2*s + 3*n - 15, -5*s - 15 = -2*n. Let r be (4 - 1)/(s/(-4)). What is the third derivative of -2*p**r + p**2 - 2*p - p**4 + 2*p wrt p?
-72*p
Suppose 5*u = -5*j + 35, -3*u + j + 18 = u. Differentiate -7*z**3 + 5*z**3 - z**3 - 7 + u*z**3 with respect to z.
6*z**2
Let n(f) be the second derivative of -f**6/30 - 5*f**3/2 - 23*f. Find the second derivative of n(j) wrt j.
-12*j**2
Suppose -2*v = 4*p + 10, 5*p + 8 = -3*v - v. Let u(f) = -f**3 - 5*f**2 - 5*f - 1. Let d be u(p). Find the first derivative of 1 - 7*z - z**d + 7*z wrt z.
-3*z**2
Let g be 6/10 + (-34)/(-10). Find the third derivative of 0*y**2 + g*y**4 - 9*y**4 - 2*y**2 wrt y.
-120*y
Let b = 8 + -6. What is the third derivative of -3*t**3 - 3*t**b + t**3 + 7*t**2 wrt t?
-12
Let n(s) be the first derivative of 5*s**4/2 - s**3/3 - 7. What is the third derivative of n(x) wrt x?
60
Let f(b) = -6*b**4 - 6*b**3 + 3*b + 6. Let j(k) = -k**5 - 13*k**4 - 13*k**3 + 7*k + 13. Let o(x) = -13*f(x) + 6*j(x). Find the second derivative of o(s) wrt s.
-120*s**3
Let f(p) be the third derivative of 0*p**3 - 1/30*p**5 + 0 + 1/6*p**4 + p**2 + 0*p. Find the second derivative of f(j) wrt j.
-4
Let k(y) be the first derivative of -y**2 + 5*y - 5. What is the derivative of k(t) wrt t?
-2
Let v(r) be the second derivative of 0*r**5 + 0 + r + 0*r**3 + 1/30*r**6 + 0*r**4 - 2*r**2. What is the derivative of v(i) wrt i?
4*i**3
Suppose -9 = 2*b - 3*b + 3*d, d = 4*b - 36. Suppose 0*f + f = 2*o - b, -21 = 2*o + 5*f. Differentiate o*n**2 + 17*n - 4 - 17*n with respect to n.
4*n
What is the second derivative of -14*x - 2*x**3 + x**3 + 14*x**3 wrt x?
78*x
Let p(n) = -3*n**4 + 2*n**2 + 3*n. Let o(q) = q**6 + q**4 - q**2 - q. Let r(b) = -6*o(b) - 2*p(b). What is the third derivative of r(d) wrt d?
-720*d**3
Suppose 2*g + 6 - 30 = 0. Suppose -3 + g = 3*d. Find the third derivative of 2*c**2 - c**2 + 2*c**d - 5*c**3 + c**2 wrt c.
-18
Let d be 6 - (6 + -4 + 2). What is the first derivative of -77*t**d + 2 + 77*t**2 - 11*t**3 wrt t?
-33*t**2
Find the third derivative of 10*v**4 - 3*v**2 - 2*v**4 + 0*v**4 wrt v.
192*v
Let l(z) be the third derivative of 13*z**9/168 + z**5/30 - z**4/12 - 50*z**2. What is the third derivative of l(n) wrt n?
4680*n**3
Let w(o) = 13*o**3 + 11*o**2 + 7*o - 11. Let p(j) = -7*j**3 - 6*j**2 - 4*j + 6. Let r(a) = 11*p(a) + 6*w(a). Find the second derivative of r(n) wrt n.
6*n
Let t(y) be the second derivative of -11*y**7/42 - 5*y**4/6 - y**3/6 + 14*y. Find the third derivative of t(n) wrt n.
-660*n**2
Let f(q) be the third derivative of 0 - 1/30*q**5 - 1/168*q**8 + 0*q**3 + 0*q**4 + 0*q**7 + 0*q**6 + 0*q - 3*q**2. Find the third derivative of f(t) wrt t.
-120*t**2
Let z(v) be the second derivative of -v**6/20 - v**4/8 + v**2 - 5*v. Let r(m) be the first derivative of z(m). What is the second derivative of r(s) wrt s?
-36*s
Let j(p) = -4*p**4 + 2*p**3 + 9*p**2 - 2*p. Let z(l) = l**3 - l**2 - l. Let x(q) = -j(q) + 2*z(q). Find the third derivative of x(i) wrt i.
96*i
Let a(r) = 5*r**2 - r - 4. Let i(q) = -q**2 + q + 1. Let d(w) = -a(w) - 4*i(w). Find the second derivative of d(p) wrt p.
-2
Let l(v) be the third derivative of -1/6*v**3 + 0*v + 0*v**5 + 0 - v**2 + 1/40*v**6 + 0*v**4. What is the derivative of l(s) wrt s?
9*s**2
Let t(f) be the third derivative of 0*f**3 + 0*f**4 - 2*f**2 - 1/42*f**7 - 1/60*f**5 + 0 + 0*f + 0*f**6. Find the third derivative of t(l) wrt l.
-120*l
Let f(w) = 9*w**3 - 6*w**2 + 7*w - 7. Let c(r) = 4*r**3 - 3*r**2 + 4*r - 4. Let b(n) = 7*c(n) - 4*f(n). What is the third derivative of b(s) wrt s?
-48
Let u be (6/(-5))/(3/(-10)). Find the first derivative of 4 + 0 + 2*j**4 + 4*j**u - 2 wrt j.
24*j**3
Suppose -12 - 9 = -3*u. Find the second derivative of -u*d**3 + 3*d + 6*d**3 + 0*d wrt d.
-6*d
What is the first derivative of 2 - 6*g**2 - 14 - 5*g**2 + 5*g**2 wrt g?
-12*g
Let b(q) be the third derivative of q**7/840 + q**5/24 + q**3/6 - 7*q**2. Let z(d) be the first derivative of b(d). What is the second derivative of z(o) wrt o?
6*o
Let g = -1 - -2. Suppose 6 - 15 = -3*a. What is the derivative of -g - m**a - 1 + 4*m**3 wrt m?
9*m**2
Find the second derivative of -7*h**5 - 11*h**4 - h + 8*h**4 + 3*h**4 wrt h.
-140*h**3
Let a(p) = p**2 - p. Let c(j) = 4*j**2 + 4*j. Let q(n) = a(n) - c(n). What is the second derivative of q(g) wrt g?
-6
Let w(l) be the third derivative of -7*l**7/30 - 19*l**3/6 + 22*l**2. Differentiate w(p) wrt p.
-196*p**3
Suppose 3*z = 2*z - 0*z. Let f(a) be the second derivative of 0*a**3 + z - 1/12*a**4 - 3*a + a**2. What is the derivative of f(n) wrt n?
-2*n
Let u be (0 + 2)*3/2. Let y(g) = 2*g**3 - 3*g**2 - 1. Let w(h) = 2*h**3 - 4*h**2 - 2. Let i(l) = u*w(l) - 4*y(l). What is the first derivative of i(s) wrt s?
-6*s**2
Let w(z) be the first derivative of -z**5/30 - 5*z**4/24 - z**3/3 + 4. Let h(a) be the third derivative of w(a). Differentiate h(s) with respect to s.
-4
Let j(n) be the first derivative of -n**7/210 - 2*n**3/3 + 3*n**2/2 + 2. Let m(d) be the second derivative of j(d). Differentiate m(i) with respect to i.
-4*i**3
Let i(z) = -2*z**4 - 2*z**3 + 2*z**2 - 2*z + 9. Let d(a) = -a**4 + a**3 - a**2 + a. Let o(h) = -2*d(h) - i(h). Differentiate o(y) with respect to y.
16*y**3
Suppose -b - 2*b + 9 = 0. Let x = b - 2. What is the derivative of 2*r + 0*r - x - 3 + 6 wrt r?
2
Let x = -7 + 9. Let f(c) = c + 3. Let p(d) = 3*d + 7. Let v(j) = x*p(j) - 5*f(j). Differentiate v(w) wrt w.
1
Suppose 265 = 5*g + v, 0 = 3*v + 6 + 9. What is the second derivative of 0*m**3 + g*m - 3*m**3 - 46*m wrt m?
-18*m
Differentiate -d**2 - 7 - 5*d**2 + d**2 wrt d.
-10*d
Let o = -6 + 10. What is the second derivative of -5*t**3 + 4*t**2 - 4*t**2 - o*t + 10*t**3 wrt t?
30*t
Suppose -4*k - 3 = 3*p, 2*p + 0 = -2. Differentiate 2*n**2 + n**2 + 0*n**2 + k*n**2 + 2 wrt n.
6*n
Let a(u) = -6*u**5 - 6. Let l(q) = -q**2 + 1. Let y(b) = a(b) + 6*l(b). What is the third derivative of y(z) wrt z?
-360*z**2
Let u(t) be the second derivative of -3*t + 0*t**3 + 1/12*t**4 + 0*t**2 + 0 + 3/20*t**5. What is the third derivative of u(o) wrt o?
18
Let q(s) = -9*s**3 - s + 5. Let c(a) = 5*a**3 + a - 2. Let g(w) = 5*c(w) + 2*q(w). Find the second derivative of g(x) wrt x.
42*x
Let g(c) be the first derivative of c + 2 - 1/2*c**4 + 0*c**2 + 0*c**3. Differentiate g(o) with respect to o.
-6*o**2
Let c(g) = -g**2 + 4*g + 3. Let t = 10 - 6. Let k be c(t). What is the second derivative of v**3 - k*v**2 - v**2 + v + 4*v**2 wrt v?
6*v
Let l be ((-5)/(-2))/(3/6). Suppose -2*c + 18 = 4*r, -4*c + 30 = c + l*r. What is the derivative of 3 + 6*g**3 - 2 - 4*g**c wrt g?
6*g**2
Let q(p) = -2*p - 7. Let b be q(-5). What is the derivative of 3*l**3 + 2*l**3 + 3 + l**3 - 3*l**b wrt l?
9*l**2
Let j = 4 - 1. Let o be j*((-2)/3)/(-1). Find the second derivative of n**5 - 2*n + o*n + n wrt n.
20*n**3
Let n(c) = 4*c**2 + c. Suppose -5 = 6*v - v. Let u be n(v). Find the second derivative of -2*b**5 - 7*b**3 + 7*b**u - 3*b wrt b.
-40*b**3
Let q(a) be t
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{
"pile_set_name": "DM Mathematics"
}
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k
Let f(x) = x**2 - 5*x - 16. Let u be f(8). Let w(l) = -l**2 + 8*l + 3. Let i be w(u). Suppose z = -i*z - 4. Is z less than 1/7?
True
Let s = -0.002 - -0.662. Let w = s + 0.04. Are -2 and w nonequal?
True
Let b be -156 + 3 + -3 + 3. Which is smaller: b or -145?
b
Let h be (-5 - (-64)/12)*(-72)/(-1324). Are 1 and h equal?
False
Suppose 0 = 11*w - 818 + 246. Let q be (-6)/(-8) - (-205)/4. Is w < q?
False
Let u = 14 - 25. Let x = 3.01 + -6.01. Is x at least u?
True
Suppose 3*c + 33 = -12. Let r = c - -17. Let t(j) = -2*j - 1. Let d be t(-1). Which is bigger: d or r?
r
Let u(m) = 4*m**3 + 3*m - 4. Let b(p) = -3*p**3 + p**2 - 3*p + 5. Let h(s) = -3*b(s) - 2*u(s). Let v be h(3). Which is greater: v or 1?
v
Suppose 0 = -d - 0*d - 3*d. Which is smaller: -2/273 or d?
-2/273
Let q = 1237 - 1222. Is 7 at most as big as q?
True
Let s = 41 - 41.158. Which is greater: s or 3?
3
Suppose 2*y + 3*m - 6 = 31, -2*y - m + 39 = 0. Let v be (-5)/(y/(-16)) - 4. Let b = 18 + -13. Is b at least as big as v?
True
Let c be (-584)/368 - (-3)/2. Let z(v) = -v - 11. Let l be z(-12). Which is smaller: c or l?
c
Suppose -5*j + 12 = -0*g + 3*g, -4*j - 8 = -2*g. Which is smaller: j or 39?
j
Let u = -0.06 - 32.44. Let g = u + -1.5. Is 0.2 greater than g?
True
Let i = 6.7 - 11.7. Suppose -h + 5*y + 1 = 13, 4*h + 2 = -3*y. Let x be 2 + h + (1 - 2). Which is greater: i or x?
x
Let x = 20905/3 - 7070. Let h = x - -105. Is h < 3?
False
Suppose 2*v + v = 156. Let a = v - -2. Is a greater than 54?
False
Let u = 409 + -447. Which is smaller: u or -17?
u
Let f = -502 + 500. Is -15.4 <= f?
True
Let x be 2*(6/(-24))/(5/250). Which is smaller: 3/4 or x?
x
Let m(t) = -t**3 + 13*t**2 - 41*t + 15. Let r be m(9). Let f(h) be the third derivative of 7*h**4/12 - h**3/3 + 3*h**2. Let o be f(-2). Is r at most o?
True
Let f(d) be the first derivative of -2*d**3/3 - d**2 + 5*d + 14. Let w be f(-4). Which is smaller: -20 or w?
-20
Let u be ((-4)/(-8))/((-1)/34). Let g = u - -2. Let x = g - -21. Do x and 6 have the same value?
True
Suppose 5*d - 49 = 2*s, -19 = -s - 4*d - 63. Let t be ((-92)/s - 4)/(6/(-8)). Which is smaller: 0.2 or t?
0.2
Let s = 2974785 + -3525119992/1185. Let i = -5/79 + s. Does i = 0?
False
Let n(a) = -4 + 4*a + 4 - 3 + 0. Let d be n(1). Let o be -6*(-1 + d/(-3)). Which is bigger: o or 9?
9
Let t be -2*2/(5 - 539). Is 1 less than or equal to t?
False
Let u be (-28)/4*-1 + (-89991)/12859. Is u at least as big as 0?
True
Let v be 12/10*(6 + -1 + -3). Which is greater: v or -8?
v
Let m = -284 + 301. Are 17 and m non-equal?
False
Let f = 5.565 - 4.48. Let n = -0.085 + f. Which is bigger: -2.1 or n?
n
Suppose -6*m - 470 = 664. Let d = m + 3583/19. Which is greater: -1 or d?
d
Let x be (-30)/25 - 4/(-10) - -1. Let a = x + -1/55. Suppose -4*z - f - 7 = 0, 5*f + 15 = -3*z + f. Which is smaller: z or a?
z
Let d = 74.6 + -75. Let h = 0.5 + d. Is h at least 3?
False
Let g = -3 + 3. Let z(y) = 3*y + 14. Suppose -16 = 3*j + o, -2*o + o = j + 6. Let u be z(j). Which is bigger: u or g?
g
Suppose 2 - 42 = -2*h. Suppose 17*y = 21*y - h. Suppose 7*u - 8 = 5*u. Is y bigger than u?
True
Let v(c) = -7*c + 20. Let o(n) = -5*n + 8. Let i(w) = -4*w + 7. Let y(m) = 6*i(m) - 4*o(m). Let p(l) = -3*v(l) + 5*y(l). Let t be p(0). Are -11 and t non-equal?
True
Suppose 0 = x - 3*u, -2*x - 3*u = 3*x + 18. Let m be x/((-9)/15) - 15/10. Suppose 3*h + 4*g - 35 = -0*g, -4*g = -5*h + 5. Is h > m?
True
Let y = 1559 - 1561. Let t = 2 - 3. Is y at most as big as t?
True
Suppose 0 = -n - 31 + 97. Let f be 153/n + (-1)/2. Suppose -24 = -10*a + 2*a. Which is smaller: a or f?
f
Let g be (-548)/(-36) - (2 + (-80)/45). Which is smaller: g or 14?
14
Let z = -23 - -17. Let y = 6.1 + z. Let m = y + -0.3. Which is greater: 2 or m?
2
Let v be (-10)/4*56/(-70). Suppose -4*j - p - 374 = p, -v*j - 196 = 4*p. Which is greater: j or -93?
j
Let g = -0.6 + 0.599. Let f = 0.899 - g. Is f not equal to 1/4?
True
Let x = 66 + -72. Let a(q) = -3*q**2 + 5*q - 3. Let d be a(3). Let j = d - -12. Which is smaller: j or x?
x
Let w(s) = s**3 - 2*s**2 + 2*s. Let b be w(2). Suppose b*p = -0*p + 8. Suppose p*t - 5*t = 0. Do t and -3/11 have different values?
True
Let r(w) = 11*w - 12. Let b be r(2). Suppose -b*z - 6*z = -32. Is z equal to 6/5?
False
Let f = -23410/459227 + 2/5813. Let g = f + 218/1185. Let c = g + 4/15. Which is smaller: -1 or c?
-1
Let j = 16 + -14. Suppose -j*u + 3 = -u. Suppose o - 2 = -u. Is -1/5 smaller than o?
False
Let c = -31 + 34. Suppose -2*z - 32 = -5*g + 88, 0 = -2*g + c*z + 48. Which is bigger: 26 or g?
26
Let u = -508 + 917. Which is bigger: -2 or u?
u
Let y = 19/15 + -4/3. Let o(q) = 0 - 4*q + 0*q**2 - q**2 - 6*q - 9. Let m be o(-9). Which is smaller: m or y?
y
Suppose 1901*l - 1915*l = 1050. Let g = 17 - 92. Is l bigger than g?
False
Let o = 56 - 20. Let m be (-188)/o + (-8)/(-36). Suppose 4 = -g - g. Which is bigger: g or m?
g
Let w = -36 - -22. Let f = w + -5. Let q = 14 + f. Is q bigger than 0?
False
Suppose -4*f + f = 3*i + 6, -2*i - f - 4 = 0. Let v be ((-9)/6)/((-7)/i). Let x = 0 - 0. Is v < x?
True
Let h = -91/15 + 31/6. Suppose -3*p = 4*u + 12, 9 = -p + 5*p - 3*u. Is h < p?
True
Suppose 0 = -7*w + 9*w + 1594. Is w greater than or equal to -797?
True
Let f = 672 - 436. Which is bigger: f or 1?
f
Let r = 4 - 4.06. Let o = r + 0.06. Let i = 0.04 - -0.06. Is i != o?
True
Let y = -3.9 - -4. Suppose 209*k - 212*k = -6. Which is smaller: k or y?
y
Let g(q) = 8*q**2 + q - 39. Let o be g(0). Which is greater: -3 or o?
-3
Let n = -4640/3 - -1547. Is -1/435 less than or equal to n?
True
Suppose -112 = -w - 3. Let r = -982/9 + w. Let v = -14 + 14. Are v and r non-equal?
True
Suppose -3*g - i = -6*g + 26, -62 = -5*g - 3*i. Let r = -6 + g. Suppose 0 = r*z - p + 15, -5*p + 4 = 3*z + 21. Which is smaller: z or -7?
-7
Suppose v = -5 + 6. Suppose 3*t + t + 12 = 0. Let l be 7 + t + 24/(-2). Which is greater: l or v?
v
Suppose s + 5*b = -0*s - 17, 35 = 5*s - 5*b. Is -6 > s?
False
Let y = -15 + 14. Let n = -85 - -1363/16. Which is bigger: n or y?
n
Let p = -62 - -249/4. Let u = 24 + -23. Let a be (9/(-7))/u - -1. Is p >= a?
True
Let q = -596 + 591. Which is smaller: -31/7 or q?
q
Let y(l) = l**3 - 20*l**2 - l + 22. Let v be y(20). Let q = 2 - v. Which is greater: q or -3?
q
Let k = -0.01 - 0.29. Let p = 1.31 - 0.01. Let y = p + k. Which is smaller: 0.06 or y?
0.06
Let p = -519/143 + 45/11. Suppose -2*f + 1 = -1. Which is bigger: p or f?
f
Let r(v) = -3*v**2 + v + 2. Let u be r(2). Let x be -3*20/48*u. Let z be (-5)/x - (-1)/(-2). Is 2/107 smaller than z?
False
Let o = 20 + -14. Suppose -o*n = -2*n. Suppose -6*i + 10*i = n. Which is bigger: i or 1/39?
1/39
Let s be 1/(-4) - 34/(-8). Suppose -s + 4 = -2*u. Let c = 1 + 0. Is u >= c?
False
Let y(h) = -h**3 - h**2 + 2*h - 2. Suppose -24*r = -26*r + 14. Suppose -r + 15 = 4*o. Let w be y(o). Which is greater: w or 1?
1
Suppose -7474 + 662 = -52*a. Which is greater: 130 or a?
a
Let j = -100 + 99. Let r be (22/30 + j)*(-20)/(-24). Which is smaller: r or 10?
r
Let u = -2 - -3. Let c = 1 - u. Let w(d) = d**2 - d - 5. Let p be w(c). Is p not equal to -4?
True
Suppose -11*p - 660 = -6*p. Let q be -2*3/p*6. Do q and 0 have the same value?
False
Suppose 2*w = -w - 21. Let j = -1.253 - -0.253. Which is bigger: j or w?
j
Let r(m) be the second derivative of m**4/12 + 3*m**3/2 + 3*m**2 - 12*m. Let z be r(-9). Suppose -5*k + 15 = -10. Is z less than or equal to k?
False
Let l(w) be the third derivative of w**6/120 - 2*w**5/15 + 7*w**4/24 - 5*w**3/6 + 8*w**2. Let j be l(7). Which is greater: -2 or j?
-2
Suppose -208*r + 212*r = 4. Which is greater: -2/4671 or r?
r
Let g(i) = -i**3 + 7*i**2 + 7*i + 8. Let v be g(8). Suppose -6*h - 3*o + 51 = -2*h, 5*o - 25 = v. Let l = 15 - h. Which is greater: l or 5?
l
Let b = 307 - 7677/25. Let m be (-27)/6*(1 + -3). Suppose -4*k = -m*k. Which is smaller: b or k?
b
Suppose -6*c + 42 = -8*c. Let i(x) = -x**2 - 2*x - 5. Let d be i(-5). Is d greater than or equal to c?
True
Suppose 6*o - 45 = o. Suppose 45 = 13*g - 4*g. Suppose 0 = 4*a + 16, g = 2*s - 4*a - 25. Is s <= o?
True
Let y be 29*(-3 - (-13 + 3)). Is y not equal to 203?
False
Let c = 0.2 + 0.8. Let d = 1.269 - -20.731. Which is bigger: d or c?
d
Let f = -41 - -46.9. Let o = -4.9 + f. Which is smaller: o
|
{
"pile_set_name": "DM Mathematics"
}
|
.
4
Suppose 2*n + 100 = 7*n. Let q(z) = -z**3 - 7*z**2 + 7*z - 8. Let y be q(-8). Suppose y = -7*h + 2*h + n. What is the smallest common multiple of h and 16?
16
Let g = 27 - 19. Suppose 0 + 36 = 3*o. What is the least common multiple of g and o?
24
Suppose -2*d = 3 - 15. Calculate the lowest common multiple of 10 and d.
30
Let f = -8890/9 - -986. Calculate the common denominator of f and (4 + 22)*(-1)/12 - 0.
18
What is the least common multiple of 1 and 2/4 + (-11)/(-2)?
6
Let l(q) = -41*q + 1. Let v be l(1). What is the common denominator of 468/v + (-2)/5 and 101/22?
110
Let g(f) = f - 1. Suppose -24*y + 16 = -23*y. What is the lowest common multiple of g(5) and y?
16
Let d(c) = -c**2 - 7*c - 6. Let h be d(-7). What is the common denominator of (-4)/h*(-57)/(-8) and -2 + 3/30 - -2?
20
Suppose 0*w - 5*w = -50. Let c = 30 - w. Calculate the lowest common multiple of 10 and c.
20
Suppose -4*l = -2*x + 56, 5*x - l - 63 = 41. Let s(c) = -4*c - 6. Calculate the lowest common multiple of x and s(-5).
140
Let p = 118 - 106. What is the smallest common multiple of 2 and p?
12
Suppose 2*t + o + 0*o = 1, 5*o - 5 = 2*t. Suppose 0 = -t*f - 5*f + 185. Find the common denominator of -71/4 and (2/(-16))/(2/f).
16
Let x = 97223/4496 - 35391301/2657136. Let m = x - -22/197. Let v = -111 - -1501/14. Calculate the common denominator of v and m.
84
Let x be ((-2)/54)/((-8)/(-1074)). Let c = 19/18 + x. Calculate the common denominator of 51/20 and c.
60
Let z = -73 + 109. Calculate the smallest common multiple of z and 16.
144
Let n = 3 + -2. Suppose 10*b - 7*b - 12 = 0. Suppose 2*j + 2*u - 18 = u, b*u - 16 = 0. Calculate the least common multiple of j and n.
7
Let r = 387 + -1565/4. What is the common denominator of (-1 - 1466/(-84)) + (-14)/49 and r?
12
Suppose 6*a + 50 = 11*a. What is the least common multiple of a and 9?
90
Let j = 34 + -18. Suppose 0 = 4*y - 5*p - 58, -3*y + 4*p - 52 = -8*y. What is the smallest common multiple of j and y?
48
Let i(o) = o**2 - 2. Let g be -23 + (0 - (-3 + 2)). Let y be 6/33 + (-40)/g. What is the lowest common multiple of i(y) and 6?
6
Calculate the common denominator of 131/30 and (-2320)/(-32)*(-3)/(-50).
60
Let u(q) = q**2 + 11*q - 1. Let o be u(-11). Let r be 3/o - (0 + -7). What is the common denominator of r/(-10) + (-21)/(-4) and 51/14?
140
Find the common denominator of 87/26 and 5/(-18)*1 - (-3 + 0).
234
Suppose 3*q - 5*j = 41, -q + 5 + 8 = -j. Calculate the smallest common multiple of (-2)/(-6) - 385/(-33) and q.
12
Let f = -1289 - -10371/8. Find the common denominator of f and -35/16.
16
Suppose -6 = -5*q + 4*t + 41, -3*t - 44 = -5*q. Calculate the smallest common multiple of 2 and q.
14
Let h(m) = 2*m**2 + 2*m. Let g be h(3). Let v = 13 + -9. Calculate the smallest common multiple of v and (-7)/(-35) - g/(-5).
20
Let l be 0/(-2)*(-3)/(-6). Suppose -k = 5*d - 16, 3*d - 4 - 5 = l. Let g(h) = 5*h**3 - 2*h**2 + 2*h - 1. Calculate the lowest common multiple of g(k) and 7.
28
Calculate the common denominator of ((-30)/(-120))/((-1)/(-162)) and -143/6.
6
Let k be ((-155)/24380)/(4395/(-23208154)). Let r = k + 21/77645. Let h = 500/23 - r. Calculate the common denominator of 125/6 and h.
6
Let x = 2594 + -15515/6. Find the common denominator of x and -43/7.
42
Let x(h) = 22*h**3 + 5*h**2 + 7*h - 6. Let o(d) = 23*d**3 + 6*d**2 + 8*d - 7. Let k(c) = -5*o(c) + 6*x(c). What is the smallest common multiple of k(1) and 22?
198
Suppose 30 = q + 2*q. What is the least common multiple of 2 and q?
10
Suppose -2*t + 5*d = -41, -t + 47 = 3*t - 3*d. Let p be (-245)/4 + 2/t. Calculate the common denominator of 83/12 and 3/12 - p/(-28).
84
Let i be (4 - 1) + (-24)/8. Let v be (0 + i/3)/2. Suppose v = 5*a + 3*b - 116, -a + 8*b = 4*b - 14. What is the lowest common multiple of 16 and a?
176
Let q(c) = -c + 9. Let k be q(7). Let g be -2 - (-1 + k + 8). Calculate the smallest common multiple of 2/g + 272/44 and 2.
6
Let l be ((-36)/15)/((-2)/(-20)). Calculate the common denominator of 3/(-9) - (-20)/l and 4/6 + (-59)/(-18).
18
Suppose -6*v + 109 = -11. What is the smallest common multiple of v and 35?
140
Suppose b + 1 = 0, 3*i + 0*b - b = 49. Suppose 5*f + 8 + 12 = 0, 2*j - 44 = 5*f. Calculate the smallest common multiple of i and j.
48
Suppose 2*a = 3*a - 5. Suppose 4*y = -q - 35, -2*y - a*q = -4 - 1. Let s = -4/17 - 99/85. What is the common denominator of s and y?
5
Let i = 117 - 110. What is the lowest common multiple of 5 and i?
35
Let j(k) = -k + 7. Suppose 4*c - 5*c = -10. What is the smallest common multiple of j(0) and c?
70
Suppose 0*y - 2*y + 180 = -3*o, 0 = 4*y + 5*o - 360. What is the least common multiple of -1*5*y/(-75) and 12?
12
Let u be (-36)/(-14) + 27/63. Find the common denominator of 47/6 and (60/88 - 3) + u.
66
Let a = -22623/8 + 2840. Calculate the common denominator of a and 41/3.
24
Suppose -47 = -4*i - 3*u + 2*u, 0 = -2*i - 2*u + 22. What is the lowest common multiple of i and ((-28)/(-10))/((-2)/(-10))?
84
Find the common denominator of (-6)/(-4)*21/10 and 3 - (-206)/(-8) - 1.
20
Suppose g - j + 50 = 4*g, -2*j + 84 = 5*g. Suppose -3 = -5*i + 7. Suppose 3*d - 7*d + 65 = 5*z, 0 = d + i*z - 20. What is the least common multiple of d and g?
80
Let d = -201737/24 + 8403. Find the common denominator of 35/16 and d.
48
Let c = 29 - 11. Let m(z) = 2*z**2 + 8*z + 4. Let p be m(-5). Calculate the least common multiple of 4/p - (-110)/7 and c.
144
Calculate the common denominator of (380/(-18))/(32/24) and -56/5.
30
Let k = 22 + 14. Let f = k + -18. What is the smallest common multiple of 22 and f?
198
Let x = -5 + 8. Suppose t = 2*l + 22, -x*t + 3*l + 2*l + 64 = 0. What is the least common multiple of 22 and t?
198
Suppose -3*z - s - 6 = 2*z, -3*z + 4*s = 22. Let l = 39 + -23. Calculate the least common multiple of ((-3)/z + 0)*12 and l.
144
Let f = 1815/8 - 228. Let h be (-6616)/16*(-1 - -2). Let x = h + 428. Calculate the common denominator of f and x.
8
Let r = -1082 - -7557/7. Let z(b) be the second derivative of -b**5/20 + 3*b**4/4 + 4*b**3/3 - 5*b**2 - 2*b. Calculate the common denominator of r and z(10).
7
Let w(t) be the third derivative of t**6/120 - t**4/12 - t**3/6 - t**2. Let d be w(-2). Calculate the least common multiple of ((-9)/d - 1)*5 and 6.
12
Suppose -5*y + 4*y = -4*u + 4, 0 = 5*u - 4*y - 16. Suppose 0*m + m - 2 = u. Calculate the least common multiple of m and (-210)/(-27) - (-2)/9.
8
Suppose -4*i - 37 = 3*m, 5*i + 23 = -m - 4. Find the common denominator of 13/6 and (-1)/2 - m/16.
48
Let w = 14 - -6. What is the least common multiple of w and 18?
180
Let c(x) = -x**2 - 5*x. Let i be c(-5). Suppose i*o + 2*o = 10. What is the smallest common multiple of 3 and o?
15
Let p = -304/17 + 15013/850. Calculate the common denominator of p and 70/9.
450
Let i = 35839137/178 + -201350. Let k = i + 3/89. Calculate the common denominator of k and -20/3.
6
Suppose 1 = 4*n + 5*r, -n - 2*r = 2*n - 6. Suppose 5*x = 5*v - 65, 0 = 5*v - x + n*x - 25. Calculate the least common multiple of v and (-49)/(-5) + (-3)/(-15).
40
Let m = 9 + 0. What is the lowest common multiple of (-8)/28 + (-32)/(-14) and m?
18
Let j(t) = t**3 - 7*t**2 - 8*t - 6. Let l be j(8). Find the common denominator of (153/l)/(7/2) and -33/8.
56
Let q = 1/6067 - 236623/60670. What is the common denominator of -137/12 and q?
60
Suppose 3*q - 4*q = -8. Calculate the lowest common multiple of 6 and q.
24
Let x be 5/(-3)*(-4 - -7). Calculate the common denominator of (-215)/x*(-2)/4 and -75/8.
8
Let w be (-2)/7 + 13731/(-693). Let l = -286/7 - w. Let q = -10/11 + l. Calculate the common denominator of q and 17/5.
15
Let j = 15377 - 307607/20. Calculate the common denominator of 41/50 and j.
100
Suppose -k = -3, 0*k - 9 = b - 2*k. Let i = b - -13. Calculate the lowest common multiple of i and 6.
30
Let j(d) = d**3 - 6*d**2 - 5*d - 4. Suppose -42 = n - 5*n - 2*t, -5*n - 2*t = -53. Calculate the least common multiple of j(7) and n.
110
What is the common denominator of ((-7)/(-16))/(1/(-9)) and -133/6?
48
Let l = 171523/20 + -8572. Let o be (-1393)/36 - 3/4. Let b = 7757/180 + o. What is the common denominator of b and l?
20
Let u = -95558680375 + 4807748326718823/50312. Let n = u + 2/6289. What is the common denominator of -23/16 and n?
16
Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
i = -7. What is y(a)?
15
Let o(g) = g. Let y(u) = u**2 - 6*u. Let r be y(7). Suppose 0 = -2*l + 1 + 3. Suppose 5*f - l = -r. Give o(f).
-1
Let q(y) be the second derivative of -y**5/20 + y**4/4 + y**3/6 - 2*y**2 + 17*y. Calculate q(3).
-1
Let r(q) = -3*q**2 - 26*q - 23. Let d(z) = -z**2 - 9*z - 8. Let a(v) = -11*d(v) + 4*r(v). Determine a(-3).
2
Let y(d) = -7*d**3 - 6*d**2 - 4*d + 7. Let o(g) = -3*g - 6 + 8*g**2 + 6*g - 3*g**2 + 2*g**3 + 4*g**3. Let q(l) = -6*o(l) - 5*y(l). Determine q(2).
-3
Let p(v) = v - 4. Let o(n) = 2*n - 9. Let l(t) = 2*o(t) - 5*p(t). Calculate l(-5).
7
Suppose 11 = -5*a + 61. Let p = a - 3. Let y(q) = 0*q - p*q**3 + q - 3*q**3. Determine y(1).
-9
Let o(n) = n**2 + 1. Let g(w) be the first derivative of -w**3/3 + w**2 + 2*w - 38. Let z = 2 + -1. Let i(f) = z*o(f) - g(f). Determine i(2).
3
Let z(p) = 5*p**2 - 6*p - 4. Let d(g) = 4*g**2 - 6*g - 4. Let f(q) = 6*d(q) - 5*z(q). Let s be f(-5). Let i(y) = -7*y**3 - y. Determine i(s).
-8
Suppose 0 = 5*j - 3*c + 39, -2*j - 6*c - 6 = -4*c. Let o(a) = a**2 + 5*a - 4. Let x be o(j). Let y(w) = 4*w - 3*w**x - 2 + 2 - w**3 + 1. Determine y(-4).
1
Let b be (2 + 0)/((-2)/(-3)). Let h(x) = -x + 3*x**3 + 3*x - 3*x**2 - x**3 - b*x**3. What is h(-4)?
8
Suppose 0 = 5*y - 11 + 26. Let l(v) = -2*v + 1. Let o(w) = 6*w - 4. Let m(h) = 10*l(h) + 3*o(h). Determine m(y).
4
Let z be 1/1*(-2 + 2). Suppose -4*k + 6*k + 2 = z. Let v(p) = p**2 + p + 1. Let d(u) = -9*u**2 - 4*u - 4. Let c(l) = d(l) + 3*v(l). Determine c(k).
-6
Let j = 66 - 37. Suppose 9 = -5*n + j. Let y(b) = 1 + 3*b + b + 2*b - n*b. Calculate y(-2).
-3
Let h(c) = c**2 - 5*c - 5. Let w(l) = -l**2 + 5*l + 4. Suppose 0 = 5*f - 0*f - 25. Let d(p) = f*w(p) + 4*h(p). Calculate d(4).
4
Let i(y) be the third derivative of y**5/60 + y**4/24 + y**3/6 + 3*y**2. Calculate i(-1).
1
Let o(j) = 2*j**2 - 8*j - 6. Let z be o(5). Let c(n) = n**3 - 4*n**2 - n - 4. Let q be c(z). Let r(g) = -g**3 - 9*g**2 - 9*g - 11. Calculate r(q).
-3
Let h(t) = -7*t - 4. Let k(f) = -4*f - 2. Let d(g) = 3*h(g) - 5*k(g). What is d(5)?
-7
Let k(p) = -5*p**2 - 2*p**2 + 6*p**2 + 4 - 2*p. Give k(-4).
-4
Let q(w) be the first derivative of -1/6*w**3 + 4 + 1/12*w**4 + 1/20*w**5 + 0*w**2 - w. Let b(k) be the first derivative of q(k). Calculate b(2).
10
Let v(a) = -7*a**2 - a + 9. Let t(g) be the first derivative of -10*g**3/3 - g**2/2 + 13*g - 2. Let i(z) = 5*t(z) - 7*v(z). Give i(-2).
-6
Suppose -2*c = c. Let t = -5 + 7. Let d(y) = 2*y - 4 - 2*y + y**t. Determine d(c).
-4
Let h(f) = -f**2 - 5*f**2 + 5*f**2 - 9 + f. Let x(t) = 0*t**3 + 13*t - t**3 + 21*t**2 + 0 - 12 - 10*t**2. Let z be x(12). Give h(z).
-9
Suppose 0 = k + 2*k + 9. Let j(h) = h**2 + h + 3. Let t(u) = -142*u + 142*u - u**2 - 4. Let o(m) = k*j(m) - 2*t(m). Determine o(-1).
1
Let i(m) = 3 - 2*m - m + 2*m. Let z(l) = -l - 4. Let s be z(-6). Suppose -5*o + s*q = 0, 0 = 5*o + 2*q - 0*q. Determine i(o).
3
Let y(k) = -k + 5. Let g be y(9). Let j be 6*2*(-1)/g. Let d(s) = 0*s**3 + s**j + 0 + s**2 + s**3 - 1. Determine d(1).
2
Let v(z) = -2*z + 1. Suppose -7*t = -2*t + 10. What is v(t)?
5
Let l(y) be the third derivative of -y**4/24 + y**3/3 - y**2. Let u = 117 - 114. Determine l(u).
-1
Let h(j) = -j - 4. Let g be h(-3). Let r(a) = 9*a**3 + a**2 - a - 1. Determine r(g).
-8
Let o(a) = a**3 + 7*a**2 + 5. Let g be o(-7). Let u = -5 + 7. Let b(f) = -12*f + 7 - f**2 + 2*f**u + 4*f. What is b(g)?
-8
Let z(b) = b**3 - 4*b**2 + 3*b + 3. Let t = 28 - 19. Suppose -3*f = -0 - t. What is z(f)?
3
Suppose -w = -4*m - 8, -3*w - 2*m + 3*m + 2 = 0. Let u(q) = q**3 - 18. Give u(w).
-18
Suppose 3*s - c = -23, 0 = 3*s + 2*c - 5*c + 21. Let i = -9 - s. Let t be (-2 - (i + 2)) + 1. Let l(a) = 2*a**2 + 2*a - 2. Calculate l(t).
2
Let j(s) be the third derivative of s**4/24 - 2*s**2. Suppose 4*h - o + 17 = 0, -3*h + 6 - 16 = 2*o. Let w = 7 + h. Determine j(w).
3
Let u be ((-4)/(-3))/((-2)/6). Let k = 0 - u. Let h(j) = -10 + 0 + j + 8. What is h(k)?
2
Let i(c) = -14*c + 8*c - 8 + 7*c. Determine i(7).
-1
Let b be 0 - (2 + -2) - 1. Let t(u) = -u**2 + 8*u - 4. Let w be t(7). Let y(c) = 2*c - 4*c + w*c**2 - 1 + c. What is y(b)?
3
Let r(d) = -d**3 - d + 1. Let s(v) = v**3 - 4*v**2 - v - 2. Let j(p) = 2*r(p) + s(p). Let b(i) = -i**2 + 6*i - 7. Let a be b(5). What is j(a)?
-2
Let x(m) = 6*m**2 - m**2 + 4 - 4*m**3 + 3*m**3 - 5*m. Suppose 3*n + 9 = 6*n. Suppose l - 16 = -n*l. What is x(l)?
0
Let l(t) = -t**2 - t - 2. Let o(d) = -d - 15. Let r be o(0). Let b be 0*(-2 - r/6). Give l(b).
-2
Let o(x) = x**3 - x**2 - 2*x + 1. Let m be ((-4)/(-20)*0)/(-2) - -3. Determine o(m).
13
Let d(x) be the first derivative of x**4/12 - x**3 - x**2/2 - 4. Let a(p) be the second derivative of d(p). Determine a(6).
6
Let s(a) = a + 4. Let v = 1 + 4. Suppose 5*m - c + 26 = 0, v*m + 42 = -3*c - 0*c. Give s(m).
-2
Suppose -2*u - 225 = u. Let l be 2/9 + u/(-27). Suppose -3*k - 3*q = 9, l + 0 = 5*k - q. Let w(r) = r**2 + 1. Give w(k).
1
Let q(z) = z**3 - 2*z**2 + 3*z - 1. Let j(l) = l**3 + 4*l**2 - 6*l - 3. Let x be j(-5). Give q(x).
5
Suppose 0*b = -5*b. Let q(d) = d**3 - d**2 - 1. Let v(s) = -5*s**3 + 7*s**2 + s + 2. Let g(u) = 6*q(u) + v(u). Determine g(b).
-4
Let k(s) = s**2 + s - 2. Let r(w) = w**2 + 3*w + 2. Let f be r(-7). Let c be f/(-9)*(-18)/4. Suppose z + c = -4*z. Give k(z).
4
Let g(w) = w**3 - 3*w**2 - 3*w - 5. Let i be g(4). Let x(b) be the third derivative of b**4/8 - b**3/6 + 16*b**2. Determine x(i).
-4
Let d(t) be the first derivative of -t**3/3 - 3*t**2 + t - 7. Calculate d(-6).
1
Let g = 0 - -5. Let j(a) = -a**3 + a**2 - a + 1. Let l(f) = f**3 + 2*f**2 + 8*f - 4. Let y(v) = -2*j(v) - l(v). Determine y(g).
-3
Let a(w) = -5*w - 36. Let g(k) = -k - 9. Let q(m) = 2*a(m) - 9*g(m). Calculate q(7).
2
Let c(u) = -u - 1. Let t be c(0). Let h(y) = -14*y - 2*y - 8*y - 16. Let l(x) = 5*x + 3. Let i(f) = 2*h(f) + 11*l(f). What is i(t)?
-6
Let b(j) = -j**2 - 9*j + 4. Let c be b(-9). Let m(n) = c*n**3 + 4*n**2 - 6*n**2 - 4 - 5*n**3. Give m(-3).
5
Let q be (1 - 10)*(5 - 3). Let z be q/(-9)*2/2. Let t(k) = -3*k - 2. What is t(z)?
-8
Let k be -33*4/6*1. Let r be ((-2)/(-4))/(11/k). Let h(q) = -q + 3 - 7*q**2 - 2 + 3*q. Determine h(r).
-8
Let z(s) = 6*s**2 - 8*s + 1. Let l(a) = -a**2 + a. Let k(m) = 5*l(m) + z(m). Suppose 3*c = 8*c - 20. Suppose -g + c*b - 19 = -2*g, 0 = 5*g + b - 19. Give k(g).
1
Suppose -4*c - 25 = 71. Let z be c/(-10) - (-2)/(-5). Let k(l) = 3*l - 2. Determine k(z).
4
Let r(p) = 4*p + 56. Let b(v) = -v - 14. Let i(z) = 9*b(z) + 2*r(z). Determine i(-11).
-3
Let c(f) = -f**3 + 6*f**2 + 9*f - 4. Let q be c(7). Suppose 2*y = 4*z + q, -2*z + 4*y - 4 = 2*z. Let o(i) = -i**2 - 2*i + 1. What is o(z)?
-7
Let j(q) = 4*q**2 - 7*q. Let t(y) = -2*y - 6*y**2 + 7*y**2 + 0*y**2. Let o(i) = -4*j(i) + 14*t(i). Calculate o(-1).
-2
Let i = -6 - -6. Suppose -6*t + t + 5 = i. Let h(p) = -19*p - 5. Let z(n) = -105*n - 28. Let k(w) = -28*h(w) + 5*z(w). Calculate k(t).
7
Let t(l) = 4*l**2 - l**2 - 2*l**2 + 1 + l**3. Suppose -7*z = -11*z. Give t(z).
1
Let y(c) = -c**2 + 7*c + 3. Let w(j) = -j**2 - 2*j + 2. Let p(m) = m**2 + 2*m - 2. Let l(d) = -2*p(d) - 3*w(d). Let o be l(2). Give y(o).
9
Let s(u) = u**3 + 2*u**2 - 8*u + 11. Let y(g) = -g**3 - g**2 + 7*g - 10. Let p(b) = -4*s(b) - 5*y(b). Determine p(4).
10
Let m(v) = -v**2 - v - 6. Let z(i) = i**2 + 5. Let j(n) = -n**2 + n - 4. Let r be j(0). Let h(f) = r*m(f) - 5*z(f). Give h(4).
-1
Let r(p) = p**2 - 10*p. Let v be r(10). Let n(b) = -b**2 + 2. Let j be n(v). Let h(a) = -a**j + a**3 - 3*a**2 - 4 - a**2 + 6*a. Give h(4).
4
Let u(l) be the first derivative of -l - 5. Let q(w) = -w. Let o be q(5). Let s(i) = 6*i**3 + i + 6. Let a(x) = o*u(x) - s(x). What is a(-1)?
6
Let f(d) = -13*d**2 - 6*d + 5. Let m(a) = -27*a**2 - 13*a + 11. Let p(w) = -13*f(w) + 6*m(w). Give p(1).
8
Suppose 5*h - 24 = -5*i - 4, 0 = 2*h - i + 4. Suppose 0 = 5*u - h*j - 3*j + 18, 0 = 3*u + 3*j + 30. Let a(g) = g**2 + 5*g - 3. Give a(u).
3
Let g(a) be the third derivative of -a**4/24 - 11*a**3/6 - a**2. Suppose -4*w = -2*w + 12. Determine g(w).
-5
Let j(a) = a**2 + 2*a. Let g be j(-2). Let h(i) = -9*i + 5*i + 0 + 8. Let q(p) = -p + 1. Let w(t) = -h(t) + 3*q(t). Give w(g).
-5
Let y(t) = -t**3 - 11*t**2 - 2*t - 9. Let s be y(-11). Let f(u) = 21*u - 4*u - 5*u - s*u. Le
|
{
"pile_set_name": "DM Mathematics"
}
|
(h) = -3*h**2 + 4*h + 35. Let d(c) = -7*g(c) + 4*o(c). List the prime factors of d(a).
3, 13
Let j = -13120 - -19407. List the prime factors of j.
6287
Let m(t) = 6*t**3 - 4*t**2 - 4*t - 115. Let j(o) = -7*o**3 + 5*o**2 + 5*o + 115. Let x(s) = -5*j(s) - 6*m(s). List the prime factors of x(0).
5, 23
Suppose 18*m - 37*m = -29317. List the prime factors of m.
1543
Let i be ((-5)/10)/((-3)/(-96)). Let c be -2*3*i/(-12). Let a(j) = -j**3 - 9*j**2 - 9*j + 2. List the prime factors of a(c).
2, 5
Let w = 33 + -29. Suppose 0*n + 3*n + 4*b + 5 = 0, -2*n + w*b + 30 = 0. Suppose n*h = 46 + 159. List the prime factors of h.
41
Let s be 6 + -4*(-2)/(-4). Let g(q) = -8*q - 4. Let k be g(s). What are the prime factors of (-1 + 6)*k/(-10)?
2, 3
Suppose 5*f = 6*f + 5*q - 7, 2*f = -3*q + 14. Suppose -25 = z - 3*z - 5*y, 5*y = 25. Suppose z = 3*k - f - 14. List the prime factors of k.
7
Let u(a) = -8*a + 34. Let s be u(10). Let y = s - -81. What are the prime factors of y?
5, 7
Suppose -55 + 786 = m. What are the prime factors of m?
17, 43
Let j(x) = -x**2 - 2*x - 10. Let b be j(-5). Let y = 39 + b. List the prime factors of y.
2, 7
Suppose -28 = -3*a - 4. Let m = 10 - a. Suppose -2*c + 48 = m*c. What are the prime factors of c?
2, 3
Let i(y) = -5*y**2 + 3*y + 2. Suppose -3*p - 4*z = -p - 6, -3*z = -3*p - 9. Let g be i(p). Let f = g + 45. List the prime factors of f.
3, 13
Suppose 7*o - 5*o = -8. List the prime factors of 8*(-14)/(3 + o).
2, 7
Suppose 2*p + 8 = -0*p. Let t = -23 - -21. What are the prime factors of (0 - p/(-1))*t?
2
Suppose 5*z = -5*g + 10, 0 = 4*z - g - 6 - 7. Suppose -p + 9 = z. What are the prime factors of 80/6*(9 - p)?
2, 5
Let p(s) = -11*s. Let m be 12/8 + 2/4. Let c be m*5/((-40)/12). What are the prime factors of p(c)?
3, 11
What are the prime factors of (17*(-3)/6)/((-2)/20)?
5, 17
List the prime factors of (22332/8)/((-3)/(-4)).
2, 1861
Let a(k) = 6*k**3 - k**2 + 1. Let f be a(1). Suppose g = -2*q + f, -3*q = -2*q - 5. Let h(m) = 2*m**2 + 3*m - 2. What are the prime factors of h(g)?
2, 3
Let t = -8 + 6. Let a be (-3)/t*(-3 - -15). Let f = 12 + a. What are the prime factors of f?
2, 3, 5
Suppose 1 = 5*q - 19. Suppose -9*x + q*x = -550. List the prime factors of x.
2, 5, 11
Let h(t) be the second derivative of 17*t**3/6 + 3*t**2/2 + 6*t. What are the prime factors of h(4)?
71
What are the prime factors of 469 - (11 + 30/(-5))?
2, 29
Let x be (-66)/(-15) + 2/(-5). Suppose -2*r = z + 386, -x*r + 262 = 4*z + 1030. What are the prime factors of r/(-6) + 4/6?
3, 11
Suppose -6*p = -4*p - 3*g, 0 = 3*p + 2*g - 13. Suppose -2*n = 2*n - 20. Suppose 92 = 3*q + n*d, p*q - 84 = -d + 4*d. List the prime factors of q.
29
Suppose 19*d - 10145 = -2*a + 18*d, -2*a + 5*d + 10175 = 0. List the prime factors of a.
5, 7, 29
Let j be 5/((-20)/(-8)) - 6. Let q be j + 3 + 69*1. Let v = q + -47. List the prime factors of v.
3, 7
Let j(z) = -z**3 - 14*z**2 - 2*z - 16. Let l be j(-14). Suppose l*c - 57 = 9*c. What are the prime factors of c?
19
Suppose -2*s + 65 = -0*n - 3*n, 2*n - 210 = -5*s. Suppose -5*h + s = -4*m, 2*m + 0*m + 22 = 3*h. What are the prime factors of (3/(-9))/(h/(-36))?
3
Let g(q) = -69*q - 231. What are the prime factors of g(-8)?
3, 107
Let i(d) = -d**3 - 24*d**2 - 56*d + 27. What are the prime factors of i(-27)?
2, 3, 23
Suppose -9768 = -2*y - 2*y. Suppose -y = -9*m + 6. List the prime factors of m.
2, 17
Suppose y = -z + 3*z - 6654, z = 2*y + 3327. List the prime factors of z.
3, 1109
Suppose 2*p + 2300 = 3*n, 958 - 2482 = -2*n - p. List the prime factors of n.
2, 191
List the prime factors of (4/(-30) - (-968779)/255) + 1.
2, 5, 19
What are the prime factors of (-6)/15*54275/(-26)?
5, 167
Let k = 379 - 576. Let y = 437 + k. List the prime factors of y.
2, 3, 5
Suppose -2*v = -0 + 2. Let h be v/(-4) - 28/(-16). Suppose -4*g + 2*g = 5*z - 150, -3*g - 79 = -h*z. List the prime factors of z.
2
Let j = -101 + 159. Let p = 328 - j. List the prime factors of p.
2, 3, 5
Let d(l) = 62*l**3 - 4*l**2 + 9*l - 18. List the prime factors of d(3).
3, 61
Let u(o) = -14*o - 19. Suppose 11*v = -67 - 10. List the prime factors of u(v).
79
Let w be (-6 - -8 - 3)/(2/(-4)). Suppose -133 = -w*g + 115. What are the prime factors of g?
2, 31
Let a(h) = -7*h - 8. Let m be a(-3). What are the prime factors of (m/26)/((-2)/(-188))?
47
Suppose -3*p - 130 + 148 = 0. Suppose 0 = 3*y - 2*x - 1 - 15, x = 4*y - 23. Let r = y + p. List the prime factors of r.
2, 3
What are the prime factors of ((-450)/60)/(3/(-422))?
5, 211
Let c = -2176 - -3094. What are the prime factors of c?
2, 3, 17
Suppose 288 = f - 4*b, -b = 4*b - 20. List the prime factors of 4/(-3) + f/3.
2, 5
Let n(z) = -2 + 11*z - 7*z**3 + 10*z - 4*z**3 - 20*z. What are the prime factors of n(-2)?
2, 3, 7
Suppose 0 = 5*m + h - 292, -m = -5*h + 4*h - 62. Let r = m + -11. List the prime factors of r.
2, 3
Suppose -x + 127 = 2*c, c + c + 2*x - 126 = 0. Let i be (12/10)/(2/(-10)). What are the prime factors of 12/(-8)*c/i?
2
Suppose -8 = 3*f - 7*f. Suppose -3*v + 6 = -v, -4*v = -f*o + 118. Suppose -o = -4*z + 87. List the prime factors of z.
2, 19
Suppose -7*x - 266 = -77. List the prime factors of (0 - 41/(-3)) + (-9)/x.
2, 7
Let x(c) = -c**2 - 11*c - 8. Let s be 6/(-8)*(-360)/(-10). Let m be 18/s - (-28)/(-3). List the prime factors of x(m).
2
List the prime factors of ((-7)/49)/((-7)/21511).
439
Let t = 296 + 317. List the prime factors of t.
613
List the prime factors of 1*6 - (-6 - -3)/(-1).
3
Let k(i) = -i**3 + 23*i**2 - 12*i + 10. List the prime factors of k(8).
2, 19, 23
Let f = -10 - -9. Let w(c) = 40*c**2 - c. Let l be w(f). Suppose 0 = 3*t + 3*j - 45, -3*t = 3*j - 2*j - l. List the prime factors of t.
13
Let y = -4235 - -6067. What are the prime factors of y?
2, 229
Suppose -t = -5*q - 3*t + 7450, 2*q - 5*t - 2951 = 0. What are the prime factors of q?
2, 3, 31
Let g(s) = -s**3 + 2*s**2 + 2*s + 3. Let k be g(3). What are the prime factors of 11 - 4/16*k?
11
Let z(l) = l**3 - l**2. Let h be z(1). Suppose h = -f + 6. What are the prime factors of ((f*29)/(-3))/(-2)?
29
Suppose -3*y - 3842 = -2*z, 0 = 2*z + 2*y - 0*y - 3862. What are the prime factors of z?
41, 47
Suppose 4*o + 3 = 5*o + l, 4*l + 4 = 0. Suppose 0 = r - o*r + 108. Suppose 2*j - r = 2. List the prime factors of j.
19
Let n = -22 + 21. List the prime factors of (7 - 1) + n + -1.
2
Suppose p = -0*p + 4*n - 314, 5*p = -3*n - 1639. List the prime factors of p/(-6) - (-3)/(-9).
2, 3
Suppose 0 = 18*n + 13*n - 18569. What are the prime factors of n?
599
Suppose 162*a - 160*a = 944. List the prime factors of a.
2, 59
Let d(s) = 2*s**3 - 13*s**2 + 7*s - 8. Let w be d(6). What are the prime factors of (w + 2 - 1)/((-2)/538)?
269
Let j(o) = o**2 - 9*o + 9. Let s be j(8). List the prime factors of 50 - ((-4)/s + 5).
7
Let q(f) = 6*f + 3. Let o be q(-4). Suppose 17*s = 16*s + 2. List the prime factors of (o/9)/(s/(-12)).
2, 7
Let n(z) = -9*z + 8. Let o be n(-7). Let k = o + -8. Suppose k = 5*s + 13. What are the prime factors of s?
2, 5
Suppose -21*q + 16*q = -3*y + 2969, q = y - 993. What are the prime factors of y?
2, 499
Let z(j) = 194*j - 252. List the prime factors of z(7).
2, 7, 79
Let h(x) = -3*x + 5. Let c = 35 + -31. Suppose c*g + 0*g = a - 44, 3*g + 5*a + 33 = 0. List the prime factors of h(g).
2, 19
Suppose 0 = -19*n + 24*n + 155. What are the prime factors of (-1 + -3 + 6)*n/(-2)?
31
Let o = 1103 - 331. List the prime factors of o.
2, 193
Let n = 105 + 261. List the prime factors of n.
2, 3, 61
Suppose -4*g + 24 = -2*l, -l - 2*l + 5*g - 31 = 0. What are the prime factors of 8/((l*(-2)/52)/1)?
2, 13
Let d(l) = 131*l**2 + 2*l + 29. List the prime factors of d(4).
3, 79
Let h(j) = j**3 - 19*j**2 - 6*j + 40. What are the prime factors of h(21)?
2, 199
Suppose 4*z - 3*o + 17 = 268, o = 5*z - 311. List the prime factors of z.
2, 31
Let w = 30 + -30. Suppose -4*q = -3*q - 5. Suppose w = -r + q + 9. What are the prime factors of r?
2, 7
Let q(d) = 3*d**2 + 14 - 2*d**2 + 15. Let v = -192 + 192. What are the prime factors of q(v)?
29
Let n(t) = -t**3 - 3*t - 6. Let b be n(-5). Let k = 251 - b. List the prime factors of k.
3, 13
Let i(o) = 43*o - 202. List the prime factors of i(25).
3, 97
What are the prime factors of ((-11856)/91)/((-2)/21)?
2, 3, 19
Le
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 626985 + 417654 = 0. Do d and -7009 have the same value?
False
Suppose s = 2*c + 80, 4*s - c - 307 - 6 = 0. Let v = s - 1797/23. Suppose 5*o - 5*l + 40 = 0, 5*l + 64 = 99. Which is bigger: o or v?
v
Suppose 4*r - 3*r = -6265. Let q be 1000/r - (-3)/(21 + 0). Let o = q + 1632/1253. Which is greater: o or 1?
o
Let k = -4975 - -5030. Which is smaller: 24 or k?
24
Let m = 15469 - 12887. Is 2582 less than or equal to m?
True
Let w = 2791 - 2945. Is -7 < w?
False
Let m(x) = -11*x**3 - 11*x**2 - 29*x - 5. Let w be m(-4). Is w at least as big as 640?
False
Let f = -3/20 + 67/180. Let z = 470 + -476.01. Let a = z - -5.61. Is f bigger than a?
True
Let v = -2892 - -2862. Suppose r + 45 = -3*h, -h - 72 = 3*r + 39. Let n = r - v. Which is greater: n or -8?
n
Let t(o) = -2*o**3 - 27*o**2 + 281*o + 111. Let n be t(-31). Is n not equal to 25035?
False
Let c = -281/816 - -3/272. Suppose 5*d = -v - 20 - 5, -5*v + d = -5. Let n = v + c. Which is smaller: -1/5 or n?
n
Suppose -397 - 87 = -4*b. Suppose -5*w = -i + 103, -2*w + 340 = 5*i - b. Let n = i + -467/5. Which is greater: n or 6/13?
6/13
Let b(l) = -15*l**3 + 14*l**2 - 30*l + 5. Let z(v) = 7*v**3 - 7*v**2 + 14*v - 2. Let g(f) = 6*b(f) + 13*z(f). Let k be g(7). Is k smaller than 15?
False
Let i be (10 - 5)*(-6 - -3). Let p be (11/4)/(i/12). Suppose 5*w + 4*h = -18, 10 = -4*w - 4*h - 6. Which is bigger: w or p?
w
Let t(f) = f**3 + 8*f**2 + 3*f - 25. Let q be t(-7). Let k be 5 - (-3 - (-2 + 0)). Suppose -k + 6 = q*a. Is 2/53 less than a?
False
Suppose 647*f - 643*f + 154 = u, 0 = f + 4. Is -6 <= u?
True
Let s = 15638 - 15842. Are -189 and s non-equal?
True
Let r be (-24)/3 - 484/(6 - -5). Which is bigger: r or 0.2?
0.2
Suppose 20 = 4*j, -2*j + 17 = 3*n - j. Let c be (-3)/(-4 - 5) - (-88)/6. Let f be (-36)/(-15) + (-51)/c + 3. Which is greater: f or n?
n
Let l = -289 - -20. Let n = l + 269. Is 0.41 bigger than n?
True
Let r = 18.43 - 1.44. Let c = -17 + r. Let q = -15.01 - c. Is q bigger than -1?
False
Let w = 22.042 + -0.042. Let a = w + -20. Let y = -0.57 + -0.23. Is y < a?
True
Let z = -0.819 - -0.756. Let x = 403.063 + z. Is -1/3 less than or equal to x?
True
Let p be ((-6090)/(-29))/(-35) + 2 + (-4)/(-1). Is 16/19 at least p?
True
Let l(c) = -36*c - 31. Let o be l(-6). Let w = -185 + o. Does w = 3/103?
False
Let z = 315.1 + -508.1. Does 20 = z?
False
Suppose 5*c + 297 = 252. Let d be (5000/(-45))/(-5) - (-2)/c. Suppose -3*p - 3*w + 2*w = -66, -p + d = -w. Is p <= 22?
True
Let c = 7216 + -4978. Let z = -194261/2 - -1391213/14. Let s = z - c. Is 5 equal to s?
False
Let t(q) = q**3 + 20*q**2 - 2*q - 37. Let v be t(-20). Let m = v + 0. Let b be 75/11 + m/(66/4). Is 8 != b?
True
Let a = 3211/1104 - 77/48. Is a != 2?
True
Let a(z) = -6*z**2 + 11*z + 23. Let w be 83/17 + 4/34. Let t be a(w). Is 1 smaller than t?
False
Let p(n) = -n**2 + 4*n - 5. Let g be p(5). Let m be g + 5 + -1 + 4. Let b(l) = 53*l + 374. Let j be b(-7). Which is greater: m or j?
j
Suppose 594 = 113*a + 481. Is a less than or equal to 2/22551?
False
Let q = 3.33 + -2.2. Let c = q - -17.61. Let m = c - -0.26. Is 1 less than or equal to m?
True
Let b be 2/(-4)*-14 + -3. Let c(f) = 2*f - 3. Let x be c(5). Is x > b?
True
Let n be -9 + 0 + 141685/(-215). Which is greater: n or -670?
n
Let i = -18.98 + 19.98. Suppose 3*t = 2*n - 1042, 4*t - 3*n - 594 = -1982. Is i != t?
True
Suppose 2*i = 2*b + 2, b = 2*b + 5*i - 5. Let a(j) = j - 6. Let z be a(b). Let f be 208/(-64) - z/(-8). Which is smaller: f or -24/7?
f
Suppose -2*g = 134 + 44. Let y(x) = 12041*x + 300931. Let n be y(-25). Which is greater: n or g?
g
Let k be (-777)/49 + -1 - 1. Let r = k - -1613/77. Which is bigger: 3 or r?
r
Let q be (-4)/(-14) + 648/(-14). Let b(r) be the third derivative of r**5/30 - 31*r**4/12 - 47*r**3/6 - 5*r**2 + 4*r. Let h be b(31). Is q > h?
True
Let f = 5 + -3. Let j = -36.27 - 2.23. Let s = 36.5 + j. Which is greater: f or s?
f
Let w(o) = 3*o**2 + 58*o - 280. Let p be w(-24). Let k be 9/(1*3/18). Which is bigger: k or p?
p
Let p = 2262831/572 + -3956. Does p = 1?
False
Let o(m) = -m - 22. Let g(v) = -3*v - 21. Let x(n) = -2*g(n) + 3*o(n). Let c be x(8). Which is greater: 1/26 or c?
1/26
Let b = -463.3 - -472.4. Let w = 0.26 + 1.64. Let j = -0.9 + w. Which is smaller: b or j?
j
Let n(s) = 8*s - 27. Let r be n(6). Let l be -3 - (7/r)/(2/(-12)). Let u = 6.16 - 0.16. Which is smaller: l or u?
l
Let k = 836 - 916. Let b be 1 + -66 + 1 + 1. Let p = b - 16. Which is smaller: p or k?
k
Let n(d) = -9*d - 3. Let f(y) = -2*y**2 + 2*y - 1. Let x be f(5). Let l = x + 39. Let u be n(l). Is 15 smaller than u?
False
Suppose -z + 5*z + 3*p = 660, 2*p = 3*z - 478. Let j = -104 + z. Which is greater: 59 or j?
59
Let y = -11 + -5. Let q be (-15)/7*(-8)/y. Let t(v) = v**3 - 2*v**2 - v + 2. Let g be t(1). Which is smaller: g or q?
q
Let b = -6113 + 18337/3. Which is smaller: b or 2577?
b
Suppose 473 = -r - 2*z - 451, 4*z + 3680 = -4*r. Do r and -914 have the same value?
False
Let z be (-2*(-5)/(-10))/(-1). Let r be -5 + (-6)/z + 4. Is -0.17 at most r?
False
Let q = 28 + -36.4. Let a = -16.6 + q. Let j = a - -24.9. Which is greater: -1.6 or j?
j
Let z(m) = -m**2 - 3*m + 28. Let p be z(7). Suppose 0 = -5*c + 4*i - 12, -2*c + c = 3*i - 9. Are p and c equal?
False
Let y be -420 - 600/(3 + 22). Is y < -1/5?
True
Let g(m) = 60*m - 250. Let y be g(38). Let n be (-6)/(-33) - y/154. Which is smaller: n or -17?
-17
Let p = 73 + -69. Let i be (4 - (9 - (-4 + p)))*-25. Let s be i/6 - 9/(-54). Are 22 and s equal?
False
Suppose -45*j + 43*j + 15032 = -2*h, 0 = -j + 3*h + 7524. Which is smaller: j or 7514?
j
Let b = -164623/16810875 + 2/134487. Which is smaller: b or -1?
-1
Let x = 167 + -1026. Let s = -18725 - -53620/3. Let q = x - s. Is q < -1?
True
Let n = 69 + -69.047. Let a = 9119.953 + -9125. Let g = a - n. Which is greater: g or -3?
-3
Let l = 5 - 5. Let a = -115.5107 - 0.4893. Is a != l?
True
Let s(f) = -4*f. Let t be s(4). Let c be (t/(-64))/(1/12). Suppose -c*p + 4*d = 18, -2*p + 0*p = d + 1. Is p at least -14/13?
False
Let m = -1.5 + 0.5. Let q = 59 - 58.23. Let b = -12.23 - q. Are m and b nonequal?
True
Let b(z) = z**3 - 7*z**2 + 5*z + 1. Let d be b(6). Let w(i) = 3*i. Let x be w(d). Let o be (-108)/10*(-1175)/(-705). Is o at least as big as x?
False
Let b be -110*(-226)/(-26724) - -1. Let x = 4/131 - b. Let h = 0.12 - 2.12. Which is smaller: x or h?
h
Let k = 32985/4 + -313449/38. Let f = k - -3/19. Which is smaller: f or -0.4?
f
Suppose 475*d = 470*d - 4980. Let z = -40845/41 - d. Is z equal to 1?
False
Let w = -754 + 250. Let k = w - -478.2. Which is bigger: 2/5 or k?
2/5
Let x(p) = -3*p**2 - 2*p - 1. Let f = -48 - -47. Let r be x(f). Let c be 2/(r - -1) + (-31)/(-8). Which is smaller: 1 or c?
1
Let f = -375 - -624. Suppose -5*x + 2*q - f = 0, -5*x + 3*q - 6*q = 264. Do x and -51 have different values?
False
Let k = 175242053/4604 - 38063. Does k = 2?
False
Let l = -54 - -305. Let k = l - 255. Does k = 0?
False
Let w(a) = 8*a**2 + 2*a - 3. Let t be w(-3). Let q = -280143/4 + 140197/2. Which is smaller: q or t?
q
Let n(z) = 477 + 3*z - 477 + 2*z**2. Let k be n(-2). Let p be (-258)/(-33) + k/11. Is p greater than 8?
False
Let g be 0/(((-32)/12)/(6/9)). Let c = -1387/14 + 99. Which is smaller: g or c?
c
Let q be -7*(-120 + 0) - 0/3. Let r be 1 - -3 - q/208. Suppose -h + 1 = -2*h. Is h <= r?
True
Let j be 1 + -4 + 0/1. Let w be j - 1 - (77/(-26) - 1). Which is smaller: -1 or w?
-1
Let q be (-4)/(-8)*(-1 + -141). Let c = q - -640/9. Suppose 7*f - 7*f = 3*f. Which is bigger: f or c?
c
Let y be (15/(-9))/(1110/369 - 3). Let g be (-82)/y*(-10)/12. Which is smaller: 23/5 or g?
g
Let y be ((-6)/(-24))/(29/8). Let d(i) = i**3 - 18*i**2 + 33*i - 16. Let q be d(16). Are q and y nonequal?
True
Let d be (2/4)/((-20)/(-40)). Let y = 50 + -62. Let a be (0 + (-1 - -1))/(14 + y). Which is bigger: a or d?
d
Let l = 1.99 - 2. Let m be 2 - (-3)/2*10/(-20). Is l smaller than m?
True
Suppose 2*b - 9 = -5*a, -a = a - 2. Suppose 2*l + 9991 = 5*k, 4*k - b*l + 6*l - 8004 = 0. Let u = 18019/9 - k. Which is smaller: u or 2?
2
Let c = 43 + -120.2. Let t = c + 78. Let k = t - 0.9. Is k at most as big as 13?
True
Let t(o) = -10*o + 72. Let d be t(7). Let m be (1389/(-708) + d)/((-21)/14). Which is smaller: -1 or m
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 6*c**2 + 2. Let v(z) be the second derivative of -z**5/20 + 7*z**4/12 + z**2 + 103*z - 3. Give 5*s(k) - 4*v(k).
-k**3 + 2*k**2 + 2
Let w(j) = -j + 92 + 98 - 194. Let m(b) = -b**3 + b**2 + b + 10. Let z be m(3). Let f(i) = i + 3. Calculate z*w(u) - 6*f(u).
-u + 2
Let b(q) = -12*q - 6. Let c(i) = 11*i + 7. Suppose 0 = -15*w + 3*m - 81, -39*w + 37*w = 5*m. What is w*b(u) - 4*c(u)?
16*u + 2
Let a(l) = 14*l + 296. Let f(s) = -24*s - 588. Calculate -5*a(j) - 3*f(j).
2*j + 284
Let h(l) = -7*l + 6. Let r be ((-23)/(-46))/((-2)/(-20)). Let d(c) = -c + 1. Give r*d(t) - h(t).
2*t - 1
Let j be ((2/20)/(41/(-410)))/(1*-1). Let o(c) = 16*c + 2. Let l(h) = h - 1. Determine j*o(m) + 3*l(m).
19*m - 1
Let c(i) = -4*i**2 + 9*i + 1. Let l = 168 - 162. Let h(z) = l*z**2 + 338*z - 1 - 169*z - 183*z. Give 8*c(w) + 5*h(w).
-2*w**2 + 2*w + 3
Let b(a) = -8563*a. Let l(j) = -55042962*j. Give -25713*b(p) + 4*l(p).
8571*p
Suppose 0 = 5*q, 4*q - 1 = -r - 2. Let j(w) = -3798 - 3794 + 6*w + 11369 - 3789. Let m(l) = -l + 1. What is r*j(a) - 12*m(a)?
6*a
Let a(d) = -9*d - 54. Let r(o) = o**2 + 973*o + 11537. Let c be r(-12). Let y(m) = -4*m - 27. Give c*y(q) - 2*a(q).
-2*q - 27
Let q(m) = -876*m**3 - 12*m**2 + 13*m + 7. Let w(s) = -439*s**3 - 5*s**2 + 6*s + 3. Calculate -3*q(d) + 7*w(d).
-445*d**3 + d**2 + 3*d
Let r(p) = -1. Let c(y) = -2*y**2 + 6*y - 5. Let h(k) = 20*k - 99. Let g be 3*((-12)/(-90) - 46/(-30)). Let u be h(g). Calculate u*c(t) - 4*r(t).
-2*t**2 + 6*t - 1
Suppose 5*a - 7 - 8 = 0. Let l(i) = 2*i**3 + 3*i**2 + 2. Let q(d) = -10*d**3 - 14*d**2 - 10. What is a*q(u) + 16*l(u)?
2*u**3 + 6*u**2 + 2
Let q(o) = -10*o**2 - 9. Let g(x) = 1. Suppose -4*d - 70*f = -63*f + 36, d + f + 6 = 0. What is d*q(a) - 18*g(a)?
20*a**2
Let d(t) = 4*t**3 + 5*t**2 + 24*t + 6. Let f(j) = -17*j**3 - 21*j**2 - 98*j - 24. Determine 9*d(n) + 2*f(n).
2*n**3 + 3*n**2 + 20*n + 6
Let b(k) = -11*k**3 + 3*k**2 - 5*k + 29. Let d(q) = 33*q**3 - 11*q**2 + 16*q - 97. What is 10*b(g) + 3*d(g)?
-11*g**3 - 3*g**2 - 2*g - 1
Let z(u) = -17*u**3 + 12*u**2 + 4*u + 6. Let l(j) = -69*j**3 + 54*j**2 + 18*j + 24. What is -4*l(m) + 18*z(m)?
-30*m**3 + 12
Let n = 1 + 4. Let j(c) = 6*c - 2*c + 2 - 23 + 6*c + 33. Let u(g) = -3*g - 4. Determine n*j(d) + 16*u(d).
2*d - 4
Let n(q) = -615*q**3 - q**2 + q - 4. Let p(g) = 2463*g**3 + 5*g**2 - 4*g + 15. What is 11*n(y) + 3*p(y)?
624*y**3 + 4*y**2 - y + 1
Let v(k) be the first derivative of -57 + 1/2*k**2 - 4*k. Let o(q) = -3*q + 13. What is -2*o(r) - 7*v(r)?
-r + 2
Let f(s) = -37*s + 149. Let h(n) = -28*n + 147. Give -4*f(d) + 5*h(d).
8*d + 139
Let n = -20919 - -20918. Let u(g) = 1. Let o(k) = 4*k**3 + k - 3. Determine n*o(q) - 3*u(q).
-4*q**3 - q
Let j(w) = 2*w**3 + 6*w**2 + 14*w - 1. Let f(p) = -2*p**3 - 6*p**2 - 18*p. What is -3*f(v) - 4*j(v)?
-2*v**3 - 6*v**2 - 2*v + 4
Let j(y) be the second derivative of 7*y**3/6 - 2*y**2 - 4*y. Let m(r) = -8*r + 4. Suppose -402*s = -398*s + 24. Give s*j(c) - 5*m(c).
-2*c + 4
Let n(j) = -51*j**2 + 37*j - 30. Let i(o) = -51*o**2 + 36*o - 24. Give -5*i(p) + 4*n(p).
51*p**2 - 32*p
Let f(z) = 936*z + 55 + 968*z + 296*z - 55. Let y(p) = 83*p. Give 5*f(x) - 132*y(x).
44*x
Let w(b) = b**2 - 3*b - 9. Let h be (1 + 0)*(-2 - 8191). Let y = -5256 - h. Let u(t) = 1 - 5 - 2938*t + y*t. Give 5*u(r) - 2*w(r).
-2*r**2 + r - 2
Let b(p) = -5*p**3 + 16*p**2 - 66*p - 13. Let i(n) = 6*n**3 - 19*n**2 + 64*n + 16. What is -5*b(v) - 4*i(v)?
v**3 - 4*v**2 + 74*v + 1
Let i(m) = -m**2 + 4*m + 1. Let y(k) = 2*k**2 - 13*k + 1038. Determine -3*i(p) - y(p).
p**2 + p - 1041
Let i(q) be the third derivative of 19*q**5/60 - q**4/8 - 453*q**2. Let x(k) = -286*k**2 + 44*k. What is 44*i(j) + 3*x(j)?
-22*j**2
Let z(y) = 3*y - 5*y - 4*y**2 + 2*y**2 + 6. Let b(q) = 111. Let g(o) = 5. Let t(n) = -b(n) + 22*g(n). Give -6*t(f) - z(f).
2*f**2 + 2*f
Let u(i) = i - 1. Let s(o) = -4*o + 6. Let m = -2 - -5. Let x be 4 - m/2*4. Let y be (0 - 1)*(-3 + x). Calculate y*u(q) + s(q).
q + 1
Let p(b) be the third derivative of -b**4/8 + b**3/3 + 1280*b**2. Let q(r) = -6*r + 4. What is 5*p(v) - 2*q(v)?
-3*v + 2
Let c(i) = 7*i**2 - 10*i - 3. Let v(x) = -11*x**2 + 15*x + 5. Suppose 133*s + 23*s = -104*s + 2080. What is s*c(h) + 5*v(h)?
h**2 - 5*h + 1
Let m(k) = 76*k**3 + 11*k**2 - 11*k. Let t(x) = -25*x**3 - 4*x**2 + 4*x. Let l(h) = h**2 - 166*h + 2389. Let d be l(16). What is d*t(u) - 4*m(u)?
-29*u**3
Let j(w) = 17*w**2 - w + 3. Let g(l) = -501*l + 6014. Let y be g(12). Let b(z) = 17*z**2 - z + 2. What is y*j(u) - 3*b(u)?
-17*u**2 + u
Let x(b) = 14*b**3 + 55*b + 412. Let k(j) = 5*j**3 + 21*j + 137. What is -8*k(v) + 3*x(v)?
2*v**3 - 3*v + 140
Let y(v) = -1. Let b = -2 - -1. Let q(a) = -8 - 4208*a - 8 + 2109*a + 2105*a + 23 - 10. Calculate b*q(n) + 3*y(n).
-6*n
Let u(g) = 34*g**2 - 57998 + 57987 - 7*g**2. Let s(b) = 14*b**2 - 5. Calculate 9*s(a) - 4*u(a).
18*a**2 - 1
Let j(r) = r**2 - r. Let p(a) = 36*a**3 + 9*a**2 - 39*a - 6. Let b(v) = -v**3 + 5*v + 1. Let n(k) = 6*b(k) + p(k). Determine -9*j(g) + n(g).
30*g**3
Let z(v) = 11*v**2 + 5*v - 7. Let x(j) = 5*j**2 - 4*j - 3. Calculate -9*x(g) + 4*z(g).
-g**2 + 56*g - 1
Let c(u) = -14*u**2 - 7*u + 6. Let t(o) = 70*o**2 + 34*o - 28. Calculate -14*c(l) - 3*t(l).
-14*l**2 - 4*l
Let h(u) = -45*u + 21. Let p be h(8). Let g = p + 344. Let m(w) = w + 3. Let k(r) = -2*r - 4. Determine g*k(f) + 8*m(f).
-2*f + 4
Let g(v) = v**3 - 14*v**2 - 10*v - 63. Let d(z) = -z**3 + 5*z**2 + 3*z + 22. What is 17*d(q) + 6*g(q)?
-11*q**3 + q**2 - 9*q - 4
Let p(k) = 6*k - 1. Let n(a) = 4 - 4 - 117*a + 122*a. What is 5*n(j) - 4*p(j)?
j + 4
Let b(u) = 297*u + 5. Let m(n) = 298*n + 6. What is -5*b(d) + 4*m(d)?
-293*d - 1
Let h(b) = 9*b**3 + 15*b**2 + 1809*b. Let j(y) = -8*y**3 - 12*y**2 - 1811*y. Calculate -4*h(l) - 5*j(l).
4*l**3 + 1819*l
Let h(m) = -12*m**3 + 17*m - 9. Let i(j) = -3*j**3 + 4*j - 2. Let f = 185 + -154. Let b = f + -33. Calculate b*h(t) + 9*i(t).
-3*t**3 + 2*t
Let c(a) be the second derivative of a**5/20 + 5*a**4/12 - a**3 + 127*a. Let j(s) = s**3 + 4*s**2 - 5*s. Let z be 0/(-3) - (6 - 0). Determine z*j(n) + 5*c(n).
-n**3 + n**2
Let h(o) = -19 + 6 - 1534*o + 1536*o. Let k(m) = -3*m + 13. Determine -6*h(b) - 5*k(b).
3*b + 13
Let o(g) = 3379*g**3 - 13*g + 10. Let z(f) = -2254*f**3 + 9*f - 7. Determine 5*o(t) + 7*z(t).
1117*t**3 - 2*t + 1
Let h(j) = 1750*j + 6. Let z(n) = 8293259*n + 28432. Calculate 14216*h(s) - 3*z(s).
-1777*s
Let u(c) = 24*c**3 + 11*c**2 + 15*c - 12. Let v(a) = -41*a**3 - 20*a**2 - 28*a + 25. Determine -7*u(l) - 4*v(l).
-4*l**3 + 3*l**2 + 7*l - 16
Let x(k) = -3*k**2 + 0 + 0 + 0 - k**3. Let w be 8*(3 - 14/4). Let z be (-6*w/48)/(1/4). Let r(s) = 4*s**3 + 13*s**2 - s. Determine z*r(c) + 9*x(c).
-c**3 - c**2 - 2*c
Let k(m) = m**2 + 1. Let a(f) = 40*f**2 - 4*f + 52. Let b(x) = -x + 1. Let s(z) = -2*a(z) + 8*b(z). What is 96*k(q) + s(q)?
16*q**2
Let u(y) = -30*y**2 - 15*y + 15. Let d(t) = -t**2 - t + 1. Suppose 1362 = 34*m + 852. Calculate m*d(w) - u(w).
15*w**2
Let r(z) = -25*z**3 - 2*z**2 + 7*z - 7. Let o(k) = -13*k**3 - k**2 + 4*k - 4. Let c = 3589 + -3596. Calculate c*o(y) + 4*r(y).
-9*y**3 - y**2
Suppose 0 = 3*x - 16*x - 65. Let t(n) = -29 + 13 + 12. Let j(s) = s - 9. Give x*t(b) + 2*j(b).
2*b + 2
Let k = -9374 + 9375. Let j(o) = 4*o**3 + 6*o**2 - 7*o + 5. Let x(r) = r**3 + r + 1 - 4*r**2 - 2*r + 5*r**2. What is k*j(t) - 6*x(t)?
-2*t**3 - t - 1
Let z(m) be the second derivative of m**4/12 - 13*m**3/3 - 3*m**2 + 176*m + 4. Let g(l) = -3*l**2 + 79*l + 17. Calculate 6*g(j) + 17*z(j).
-j**2 + 32*j
Let i(n) = -3*n - 114. Let x(b) = 4*b + 111. Determine 6*i(u) + 5*x(u).
2*u - 129
Let g(n) = -n. Suppose 2*w + 8*w + 5*w - 405 = 0. Let o(m) = 9*m**2 - 9*m. What is w*g(b) - 3*o(b)?
-27*b**2
Let g(w) = -52*w - 2462. Let q(k) = 68*k + 2459. Determine -4*g(c) - 3*q(c).
4*c + 2471
Let b(y) = -6*y + 1. Let o(a) be the third derivative of 0*a + 0 + 1/24*a**4 - 1/6*a**3 - 41*a**2. Give b(q) + 2*o(q).
-4*q - 1
Let v(i) = -5*i - 2. Let c(w) = 19*w + 7. Let d(g) = -g**3 - 64*g**2 - 54*g + 589. Let o be d(-63). Give o*v(u) + 6*c(u).
4*u - 2
Let h(u) = 2*u**2 - 26*u + 362. Let l(t) = -6*t**2 + 69*t - 1089. What is 8*h(r) + 3*l(r)?
-2*r**2 - r - 371
Let q(i) = -426*i**2 + 6*i + 15. Let k(d) = 848*d**2 - 11*d - 28. What is -6*k(g) - 11*q(g)?
-402*g**2 + 3
Let b
|
{
"pile_set_name": "DM Mathematics"
}
|
/(10/25). Let x = -8.47 - -8.6. What is the nearest to 0 in p, -1/2, x?
p
Let t = 144.16 + -2.16. Let g = t - 142. Which is the closest to 4? (a) g (b) 10 (c) -0.4
a
Let h = 439 - -895. Let q be 1 + h/(-1460)*2. Let w = -2/73 - q. What is the closest to -4/5 in 3/4, w, 5?
3/4
Let q be -3 - -4 - (-25)/(-10) - 0. Let f = 33/61 - 587/183. Which is the closest to -1? (a) q (b) f (c) 15
a
Let g(f) = -59*f - 166. Let v be g(-3). Let n be (-170)/(-55) - 1/v. What is the nearest to -0.1 in n, 4, 0, 0.3?
0
Let k = 893 - 893.05. Which is the closest to -1/26? (a) k (b) -5 (c) -2/13 (d) -2
a
Let d = -10 + 14. Let c = -3894 - -27256/7. Let v = -5 - -4. What is the closest to v in c, 2/9, d?
c
Let t = -517/150 - -296/75. Which is the nearest to 2/9? (a) t (b) 28/5 (c) 2/9 (d) 0.14
c
Let z = -3763.08 - -3763. What is the closest to 2 in 3, z, 1/5?
3
Let u be ((-2)/1)/(3 - 1). Let j = -9343 + 9342.9. What is the nearest to 0 in u, -0.42, j?
j
Let s be (-132)/22 + (-112)/(-19). Let v = -26 - -25.8. Which is the nearest to -1? (a) v (b) -0.11 (c) 5/4 (d) s
a
Let o = 951 - 949.4. Which is the closest to -8? (a) o (b) 0 (c) 0.1
b
Let o = 5 + 10. Let z = o + -15. Suppose -16 = -m - 11. What is the nearest to 0.1 in z, m, 4?
z
Suppose -5*h - o + 12 = 0, 4 - 10 = -4*h - 2*o. Let u = 27.954 - -0.046. Which is the nearest to u? (a) -2/3 (b) 2/7 (c) h
c
Let r = -17556.057 + 17556. Which is the closest to -0.1? (a) 5 (b) 2 (c) 1 (d) r
d
Let a = -1.4599 - -0.4799. What is the nearest to -2/5 in a, -4, 1/4?
a
Let w = -0.07 - 3.93. Let o = -41 - -40. Let j = o - -6. Which is the closest to -1? (a) j (b) -9 (c) w
c
Let q = 28.837 + 0.363. Let u = q + -30.2. Let z = -2 - 0. What is the closest to u in 5/4, z, 2/7?
z
Let u = -0.0646 + 0.1646. Which is the nearest to -1/22? (a) 0.5 (b) u (c) 0.06 (d) 3
c
Let l = -189440/7 + 27062. Which is the closest to 3? (a) 5 (b) l (c) -4/3 (d) 13
a
Let r = 19369 - 35939. Let n = r - -1640387/99. Let v = n - -6/11. Which is the nearest to 1? (a) v (b) -1/2 (c) 4/19
c
Let q = -172/7 - -24. Suppose 3*h = 11 - 2. Let f(o) = -2*o**2 + 8*o - 3. Let l be f(h). Which is the closest to 0.1? (a) 1/5 (b) l (c) q
a
Let x be ((-10)/(-6))/(6020/1032). Which is the nearest to -0.2? (a) -0.4 (b) x (c) -216
a
Let s = 297/380 - 3/95. Let x = -73.5 + 73.1. Suppose 0 = 4*u, 0 = -5*m - 3*u - u - 20. Which is the nearest to -2/5? (a) m (b) x (c) s
b
Let r be (390/1430 - (-138)/(-22)) + 3*2. What is the nearest to r in 1, -2/95, -0.3, -1/2?
-2/95
Let u be (2/22)/(9/(-54)). Suppose -6*s = -l - 3*s + 11, 4*l - s = 22. Which is the nearest to u? (a) 0 (b) l (c) -4
a
Let y = 2922 - 2925.8. What is the closest to -1 in -1, -24, y, -5?
-1
Suppose -3*n - 2*n - 4*j + 30 = 0, -4*n + 3 = -j. Let m = 488.3 + -488.1. What is the closest to n in -1/5, m, -7?
m
Let v be ((-1)/(-2))/((-6)/4). Let h = -2035.3 + 2033.3. What is the nearest to v in h, -8, 6/11, 4?
6/11
Let a(p) = p**3 + 10*p**2 - 8*p + 34. Let o be a(-11). What is the nearest to o in 1, -9.9, -0.4, 4/5?
1
Let w be (1 + 1)*(14/(-9))/((-436)/981). What is the nearest to 5 in w, 0.4, 2?
w
Let h be -4*(-6)/(-13758)*(-2)/(-4). Let u = 4604/20637 + h. Which is the closest to 0? (a) u (b) 0.5 (c) 4
a
Let g = -1418 + 1416. Let z be -24*(6 + g + (-430)/105). Suppose 2*i - 2 = -0*i. What is the closest to 0 in z, -3, i?
i
Let x = -15.87 - -15.85. What is the closest to x in 0.5, 4, -2/5?
-2/5
Let c = 0.1273 + 0.1727. Let u = 2654/13 + -204. What is the nearest to c in 1/4, u, 0?
1/4
Let v = -26.415 + 22.415. Which is the nearest to 1/6? (a) -1/4 (b) -1/6 (c) v (d) -3
b
Let k = -20.244 + 16.244. Which is the nearest to k? (a) 1/10 (b) 1/7 (c) -3 (d) 566
c
Let v = 36.1 - 35. Let x = -1110 + 1107. Which is the nearest to -1? (a) 5 (b) x (c) v
b
Let z = -5865 + 5865. Which is the nearest to z? (a) 0.212 (b) 4 (c) -5
a
Let q = 151483/14700 - 1421/150. Let n = q + -4/49. Suppose v + 1 = 3*u, -4*u = -11*v + 8*v - 3. Which is the closest to -0.1? (a) 0.5 (b) u (c) n
b
Let o be 0 + -1 + 48/30. Let l = 32.1 - 32.2. Let r = 1.0797 - 0.0797. What is the closest to l in o, -2, r?
o
Let i = -79090 - -79094. Let b = -0.8 + -0.2. What is the nearest to b in i, -3/5, 1?
-3/5
Let u(q) = -q**2 - 15*q + 24. Let y be u(-17). Let f = 1274.9 + -1275. What is the nearest to f in 0.3, 1/2, y?
0.3
Let v = -29.7 + 29.843. Let n = 0.123 - v. Which is the closest to n? (a) -0.5 (b) 0.1 (c) 4
b
Let m = -55.4 + 71.4. Let a be (-22)/(-102) - (-1)/(-9)*3. What is the nearest to m in 1, a, -0.2?
1
Let p = 2951/3 - 984. Let n = -0.2 + 0.1. Let k = 0.2 + n. What is the closest to 2/3 in k, p, -4?
k
Let j = 200.5 - 74.6. Let m = j - 126. What is the closest to 5/4 in 0.1, 0, m?
0.1
Let w = -22411/42 - -3199/6. What is the closest to -0.1 in 1.6, -0.01, w?
-0.01
Let a be ((-2)/6)/((-4)/36). Suppose 24*y = 20*y, 3*y + y + 3 = -3*l. Let g = 0.6 - 0.3. What is the closest to -4 in a, g, l?
l
Let d be 2/(-6)*11565/(-10) + -2. Let y = -384 + d. Which is the nearest to y? (a) 1/3 (b) -4/7 (c) 2
b
Let y = -86196/7 - -12314. What is the closest to y in 1/5, 7, 5/6?
1/5
Let d be (-28)/70 - 26*1/25. Let t = d + 47/50. What is the nearest to 2 in -2/7, -5, t?
-2/7
Suppose 5*g - 6 = 2*t, 4*g - 43*t = -47*t - 12. Let m(n) = n**2 + 5*n + 4. Let j be m(-3). What is the closest to g in j, -4, 0.2?
0.2
Let g = -588 - -521. Let k = g - -67. Suppose -2*w - w = 5*n - 23, -15 = -3*n - 3*w. Which is the nearest to -5? (a) -3 (b) k (c) n
a
Let c = 12250 - 12250. What is the nearest to 182 in c, 0.1, -29?
0.1
Suppose 4*t + t - 30 = 5*f, -4*f + 3*t - 28 = 0. Let j be 22/55*f/8. Let h = -7.8 - -7.5. Which is the nearest to j? (a) h (b) -1 (c) -0.2
a
Let l = 63 - 62. Let w = -208 - -203. Which is the nearest to w? (a) l (b) -1/3 (c) -0.2
b
Let q = -22143 - -88573/4. What is the closest to -3/19 in -0.05, q, 1/5, -3/7?
-0.05
Let y be -37 + (-4767)/(-126) - 7/3. What is the nearest to -2 in -2/7, y, 0.4, -9?
y
Let n = 4863 - 4900. Which is the closest to 1? (a) n (b) -9 (c) 5
c
Let f = 0.08092 - 0.18092. Which is the closest to f? (a) 82 (b) 0.2 (c) -3/16
c
Let w = 21.98 - -3.32. Let g = 25 - w. Let p = -0.27 + 0.27. What is the nearest to 1 in p, g, 0.3?
0.3
Suppose -6 = l - 3*l. Let f be ((-2)/(-8))/(16*20/4160). Which is the nearest to f? (a) l (b) -2 (c) -5
a
Let f = 1138 - 1133. Let n = 33 - 33.02. Let q = -0.02 - n. Which is the nearest to 1? (a) 3 (b) q (c) f
b
Suppose z + 9*z - 23*z = 0. Let t = -8/9 + 11/9. What is the closest to z in t, -5, 2/19?
2/19
Let z be (-18)/(-28) - 2/4. Let n = 1038 - 1037. Which is the nearest to n? (a) 1 (b) z (c) -0.2
a
Suppose 39 = 5*w - 2*d, -w + 1416*d - 1412*d + 51 = 0. Let q = 5 - 3. Which is the nearest to 2/7? (a) 4/3 (b) q (c) w
a
Let w be (-690)/414 + 4/3. Let s = -4212/23 + 183. Which is the nearest to w? (a) 4 (b) s (c) 2
b
Let r = -72 - -74. Suppose -5*b - 17 = g, 0 = 2*b - r*g + g + 4. Let m = -5 - -3. What is the nearest to m in -0.1, b, 0.08?
b
Let u(d) = d**3 - 20*d**2 - 73*d + 87. Let i be u(23). Which is the closest to -16? (a) 0.06 (b) -1/4 (c) i
c
Let d = 30497 - 30500. Which is the nearest to d? (a) -6/7 (b) -0.09 (c) -1/5
a
Let x be (-7)/(-4) - 18*(-4)/(-36). Let f = 29/195 + 2/39. Let i = 140 + -134. Which is the nearest to f? (a) x (b) i (c) 5
a
Let u = -28.6 - -29.6. Let l = 644 - 642. Which is the nearest to l? (a) 5 (b) -2 (c) u
c
Let m = 464.737 - 29.737. What is the nearest to 0 in m, 5, 0.4?
0.4
Let w = -1919/52 + 147/4. Let s = -2 - 2. Let n = -3.7 - s. What is the nearest to -1/2 in n, w, 2?
w
Let y be (-147)/105*(-12)/(-14). Let o = 2.15 + -0.15. Let k = -130 - -127. What is the closest to y in o, -4, k?
k
Let u be (0 - 13) + 27 - 8. Let w = -3.6 - -3. Which is the closest to -1/4? (a) 3 (b) w (c) u
b
Let d = -1.039 - -0.119. Let f = d - -4.92. Suppose 29*j + 4 = 27*j. What is the closest to 0.3 in j, f, -3?
j
Let l = 3622 - 3627. Which is the nearest to 2/3? (a) l (b) -1/3 (c) 16 (d) 3
b
Let x be (2587/(-597))/((-26)/(-4)). Let n = -0.22 - -0.2. Which is the nearest to x? (a) 5 (b) -3/5 (c) n
b
Let o = 4 + -4.9. Let s = 0.1 - o. Let g = -0.01858 + -6.98142. What is the nearest to
|
{
"pile_set_name": "DM Mathematics"
}
|
e -2*u - 91 = -5*u + l, -4*l - 124 = -w*u. What are the prime factors of u?
2, 3, 5
Let l = 404 + 353. What are the prime factors of l?
757
Suppose -138 = v - 3*v. Let x = v + 29. What are the prime factors of x?
2, 7
Suppose 2*m - 4*z + 28 = -0, 3*z = 15. What are the prime factors of 2/m*-3*3222/27?
179
Let o(t) = -244*t**3 - t - 1. Let m be o(-1). Suppose 0 = -4*i + 3*x + 240, 4*i + 4 = 2*x + m. List the prime factors of i.
2, 3, 5
Suppose 53 = -4*f + 65. List the prime factors of -2*(f/(-15) + (-639)/30).
43
Let i = -401 + 33. Let b = -88 - i. What are the prime factors of b?
2, 5, 7
Let r = 1468 + -807. List the prime factors of r.
661
Let o = 7 - 5. Let i be (3/2)/(-3)*-42. Suppose 2*g + 4 = -o*c + 16, 2*c = g - i. List the prime factors of g.
11
Let b(f) = 7 - 7 + f - 2*f + 11. Let y = 18 + -10. List the prime factors of b(y).
3
List the prime factors of 124/6 + 12/(-18).
2, 5
Let l = 470 - 217. What are the prime factors of l?
11, 23
Suppose -10*w + 3*w + 3066 = 0. List the prime factors of (3/6)/(-1 + 439/w).
3, 73
Let x(r) = -r**3 - 18*r**2 - 2*r - 25. What are the prime factors of x(-19)?
2, 11, 17
Suppose 69 = t - 738. What are the prime factors of t?
3, 269
Suppose 133 = 2*o - 2207. List the prime factors of o.
2, 3, 5, 13
List the prime factors of 0/(5 + -11) + 686.
2, 7
Let f(c) = 10*c**2 - 44*c - 4. List the prime factors of f(7).
2, 89
Suppose -60 = 12*r + 3*r. List the prime factors of (r - (-95 + -2)) + 0/2.
3, 31
Suppose 3*l + 135 = 1308. List the prime factors of l.
17, 23
Let x = 1012 - 475. List the prime factors of x.
3, 179
List the prime factors of (-1)/4*-9410*(-12)/(-10).
3, 941
Let v = -1910 + 3567. List the prime factors of v.
1657
Let i be 17*1 + 6 + -10. Let h = i + 48. What are the prime factors of h?
61
Let o(i) be the third derivative of i**6/120 + i**5/6 - 25*i**4/24 + 8*i**3/3 + 8*i**2. What are the prime factors of o(-12)?
2, 7
Suppose 2*r - 150012 = -34*r. What are the prime factors of r?
3, 463
What are the prime factors of 66852/30 - 30/75?
2, 557
Let b = 8 - -53. Suppose b + 499 = 2*f + 3*l, -3*f = l - 826. List the prime factors of f.
2, 137
List the prime factors of -4*(2 + (-711)/12).
229
Let o = -1874 + 2293. What are the prime factors of o?
419
Let b = -86 + 654. What are the prime factors of b?
2, 71
Suppose 0*z = 3*l + 4*z - 2434, 5*l - 4052 = -2*z. Suppose 8*p = 13*p - l. List the prime factors of p/8 - (-3)/4.
3, 7
List the prime factors of 6/(-12) - (1 - 483/2).
2, 3, 5
Suppose 4*l - 52 = -v - 3*v, -3*l = -4*v + 38. Suppose 0 = 4*k + v - 3. What are the prime factors of -2*(-6 - (k - 0))?
2
Suppose -7*g + 363 = -4*g. Suppose 3*p + 40 - g = 0. List the prime factors of p.
3
Let z(c) = 2602*c**2 - 2*c + 3. What are the prime factors of z(1)?
19, 137
Let n(h) = -2*h**2 + 13 - 7*h**2 - h**3 + 8*h**2. What are the prime factors of n(-5)?
113
Suppose -3*n = q - 9, -2*q - 5*n = -0*n - 14. Let p be 58 + q/(-12)*4. Let j = -24 + p. List the prime factors of j.
5, 7
Let z be 2 + (6 - 2)/4. Suppose -s - 283 = -2*t, z*t - 4*s - 40 = 397. What are the prime factors of t?
139
Let y(b) = b**2 - 6*b + 3. Let r be -1 - (20/2)/2. Let j be y(r). Suppose 3*v + 0 = j. What are the prime factors of v?
5
List the prime factors of -4 - -3178 - -6 - (2 - -2).
2, 397
List the prime factors of (680/(-51))/(1/(-12)).
2, 5
Suppose 2*y = -2*t + 12, -3*y + 3*t = 4*t - 26. Suppose y*x - 11*x = -74. List the prime factors of x.
2, 37
Let o = -72 + 71. What are the prime factors of (3*2 - o)*(3 + 17)?
2, 5, 7
Let q(h) = 53*h**2 - 1. Suppose -4*c + c + 6 = 0, 7 = 3*l + 2*c. List the prime factors of q(l).
2, 13
Let a = 22 - 19. Let o = a - 63. List the prime factors of (80/o)/((-2)/54).
2, 3
Let o(q) = q**3 + 8*q**2 - 4*q - 3. Let a be o(-8). Suppose -a*c - 27 = -32*c. What are the prime factors of c?
3
Let j(p) = p**2 + 12*p + 6. Let a be j(-11). Let i(q) = q + 5. Let y be i(a). Suppose y = -3*g + 2*g + 16. What are the prime factors of g?
2
Suppose 0 = -4*r + 5*n + 3347, 830 = r + 2*n - n. List the prime factors of r.
7, 17
Suppose -18*i - 4520 = -23*i. Suppose 18*c - 500 - i = 0. List the prime factors of c.
2, 3, 13
Let i be (-26)/(-13)*(1 + 0). Suppose i*p + p + 2*l = 3, p + l = 0. List the prime factors of p.
3
Let z(k) = k**2 + 8*k - 12. Suppose -17*f + 12 = -18*f. What are the prime factors of z(f)?
2, 3
Let t(p) be the first derivative of 5*p**3/3 + 4*p**2 - 11*p + 41. List the prime factors of t(-6).
11
Suppose 3*d - 940 = -5*b, b + 0*d = d + 180. List the prime factors of b.
5, 37
Let f(b) = -b**3 + 28*b**2 - 28*b - 35. What are the prime factors of f(26)?
19, 31
Let f = 3158 + -1823. List the prime factors of f.
3, 5, 89
Let b(r) = 96 - r**2 - 7*r + 9*r + 0*r**2. Let v be b(0). Suppose c = -2*c + v. What are the prime factors of c?
2
Let k be (-1 - 4)/(29/(-29)). Suppose 11 + k = -4*p, -3*z - 5*p + 241 = 0. What are the prime factors of z?
3, 29
Let x = -45 + 66. Suppose -x*w + 17*w = -188. What are the prime factors of w?
47
List the prime factors of (320/(-25))/((-22)/3245).
2, 59
Let u(f) be the third derivative of -65*f**4/24 - f**3/2 - 10*f**2. List the prime factors of u(-1).
2, 31
Suppose -10*v - 156 = -12*v. What are the prime factors of v?
2, 3, 13
Suppose 1974 = 3*i + 10*g - 8*g, g - 3290 = -5*i. What are the prime factors of i?
2, 7, 47
Let z = 324 + -110. Suppose -2*h = 4*v - z, 84 + 14 = 2*v + 4*h. Suppose 0 = -5*s + 3*l + 261, -s = -l - l - v. What are the prime factors of s?
3, 17
Suppose 19*d - 1773 = 16*d. List the prime factors of d.
3, 197
Let v(n) = 369*n**2 + 25*n + 44. List the prime factors of v(-2).
2, 3, 5, 7
Suppose -4*f + 4*o = 126 - 2274, -2709 = -5*f - 3*o. List the prime factors of f.
2, 3, 5
Let j be (91/3)/7*(-10 + 1). What are the prime factors of -2*j/9*9?
2, 3, 13
Let g = 86 + -43. List the prime factors of g.
43
Let x(s) = 8*s**3 + s**2 - 7*s + 9. What are the prime factors of x(4)?
509
List the prime factors of (-20)/5 + 6 - (-5277 + 2).
3, 1759
Let r(j) = j**3 - 7*j**2 + j - 4. Suppose -6 = x - 13. Let l be r(x). Suppose l*o = -4*h + 2, 2*o + 3*o + 3*h - 18 = 0. List the prime factors of o.
2, 3
Suppose 4*n - 5*m = -590 + 3818, 5*n + 3*m = 3998. List the prime factors of n.
2, 401
What are the prime factors of 1422 + -2 + 17 + -12?
3, 5, 19
Let y = -47 + 131. Let b = y + -42. Suppose -4*i - b = -11*i. List the prime factors of i.
2, 3
List the prime factors of (4 - 3)*4675/17.
5, 11
Suppose -18 = -2*x - 8. Suppose -6*s + s + 25 = 0. Suppose b - 14 = 2*a - s, -b = 5*a + x. List the prime factors of b.
5
Let j = 43 - 27. Suppose -21*z + j*z + 495 = 0. What are the prime factors of z?
3, 11
Let k = 5 - 3. Suppose -k*g = g + 5*a + 3, 2*g - 11 = a. Suppose 0 = g*s - s - 63. What are the prime factors of s?
3, 7
Let a be 8 - 5 - (-5 - 2). Let z(i) = i**2 + 3*i - 5. Let m be z(-4). List the prime factors of m - a*2/(-4).
2
Let z = -916 + 1863. List the prime factors of z.
947
What are the prime factors of (25/(-10))/((-1)/2) - -4585?
2, 3, 5, 17
Let q(c) = -c + 4. Let i(k) = -k + 3. Let v(g) = -5*i(g) + 6*q(g). Let w be v(7). Suppose h = u + 3*u - 44, -w*u = h - 16. List the prime factors of u.
2, 5
Let n be (18/(-12))/((-3)/136). Let c = -19 + n. What are the prime factors of c?
7
Let a = 2308 + -907. What are the prime factors of a?
3, 467
List the prime factors of (-1640)/5*135/(-40)*2.
2, 3, 41
Suppose 2*s = -11*s + 247. List the prime factors of (-586)/(-4) - s/38.
2, 73
Suppose 0 = 3*p + 2*w - 6, -3*w + 7 - 16 = 0. Suppose 0*v + 4*v = -3*m + 2, -m = p*v - 6. What are the prime factors of (v - (-6)/1) + 0?
2
Let p(g) = g**3 + 7*g**2 - 41*g + 16. Let b(l) = l**3 + 6*l**2 - 42*l + 16. Let i(o) = 5*b(o) - 6*p(o). List the prime factors of i(-15).
7, 17
Let v be (0 - -3)*(1/(-3) - -1). Suppose -4*p + v*f = 7*f - 59, p = -f + 16. What are the prime factors of p?
3, 7
Suppose -2*r + 77 = -r. Suppose 6*h = 563 - r. List the prime factors of h.
3
Suppose -2*x + 195 = 3*z, 3*x = 3*z - 139 - 41. List the prime factors of z.
3, 7
Suppose 126 = 3*t + 3*i, t - 3*i = 22 + 32. Let w be ((-2)/4)/(1/(-6)). Suppose 3*y - 75 = -5*b - y, -2*y = -w*b + t. List the prime factors of b.
3, 5
Let j(p) = -3*p**2 - 7*p + 1. Let b(t) = -4*t**2 - 7*t. Let v = 0 + 3. Let h(k) = v*j(k) - 2*b(k). List the
|
{
"pile_set_name": "DM Mathematics"
}
|
7, q, 0.5, 0.4 in ascending order.
0.4, 0.5, 6/7, q
Suppose 0 = -5*g - 98 - 357. Let s = g - -77. Let n be s*(-2)/(-4)*(-2)/7. Put n, -4, -6 in descending order.
n, -4, -6
Suppose 0 = 2*g + 74*h - 69*h + 7, 2*g + 6 = -4*h. Sort g, -216, 1/2, 2 in descending order.
2, 1/2, g, -216
Let o(j) = 2*j**3 + 3*j**2 + 2*j. Let k be o(-1). Let l = -1028 + 1028.5. Sort k, l, -3.3.
-3.3, k, l
Let a be 46/(-46) - (-16)/22. Put a, -1/9, -6, 4 in increasing order.
-6, a, -1/9, 4
Let o = -80 + 7. Let i = 73.5 + o. Let k = 0.1 + 0.2. Put k, 5, 2, i in descending order.
5, 2, i, k
Let h = 216 - 1509/7. Let i = -2.05 - 0.25. Let o = i - -2.4. Put o, -0.1, h in descending order.
h, o, -0.1
Let o be 0/(-2)*-1 - (-5 - -2). Suppose -o = 3*u - 9. Suppose 0 = -7*d + u*d + 15. Sort 2, d, -4 in ascending order.
-4, 2, d
Let u(r) = -737*r + 369*r + 0 + 371*r + 17. Suppose -q = 2*q + 12. Let k be u(q). Put -4, k, -3 in decreasing order.
k, -3, -4
Let s = -48 + 76. Let d be s/7 - (0 + 6). Let r be (-4)/(-14) + (548/(-56) - -9). Put 0.5, r, d in decreasing order.
0.5, r, d
Let f = 53 - 50. Let n be 30/f + -13 + 7. Suppose 0*r + 4*r + 16 = 0. Put 5, n, r, 2 in descending order.
5, n, 2, r
Let h be (-12)/15 + 261/45 + -5 + 5. Sort 0.4, h, -0.5, -5, -1/15 in ascending order.
-5, -0.5, -1/15, 0.4, h
Let t(r) = 150*r - 3600. Let b be t(24). Sort b, -5, 5 in decreasing order.
5, b, -5
Let x be 3 + (3/6)/(3/6). Let v = -34 + 41. Suppose h - 3*f + v + 20 = 0, -16 = -x*f. Put 0, h, -1 in decreasing order.
0, -1, h
Suppose 399*i - 555*i + 329*i = -39963. Sort -5, 1, -3, i.
i, -5, -3, 1
Suppose -4*p + 3*x = 19, -p + x = 4*p + 21. Let t = 8 + -16. Let d = -724 - -725. Sort t, d, p.
t, p, d
Suppose 8*c + 49 = 5*m, 6*c + 22 = -2*m + 4*c. Sort 6, 9, m, -5 in increasing order.
-5, m, 6, 9
Let q be (5/150)/(8/40). Sort 1/13, q, 0.8, -0.3 in decreasing order.
0.8, q, 1/13, -0.3
Suppose 3*v + 22 = 2*a, 4*v + 11 = 4*a - 25. Let q = -54 - -54.1. Sort a, q, 6 in ascending order.
q, a, 6
Let b be ((-4)/(-6))/(208/(-48)). Let u = -985 - -988. Put -1.2, b, -4, u in descending order.
u, b, -1.2, -4
Let j be ((-2)/(-10))/(28/210). Let v = -475.08 + 504. Let o = v - -0.08. Sort j, o, 1.
1, j, o
Let p = -0.7197 - 612.5803. Let c = p + 613. Put c, -16, 4 in descending order.
4, c, -16
Suppose 8*l = 5 - 5. Suppose l*r + d + 38 = 5*r, r - 10 = -d. Sort -5, -1, r, 2.
-5, -1, 2, r
Suppose 51*r = 989 - 938. Put r, 0.136, -5, 0 in decreasing order.
r, 0.136, 0, -5
Let y be -5*1157/1170*-3. Sort 5/3, 4, y.
5/3, 4, y
Let f(b) = 20*b**2 - 7*b - 5. Let h be f(-1). Suppose 33*s = -4*i + 38*s - h, 4*s = 3*i + 16. Sort 3, -1, i in ascending order.
i, -1, 3
Let w(k) = k**3 - 5*k**2 + 4*k. Let h be w(4). Let o be (5/(-3))/(4 - 26/6). Suppose -5*d + g - 30 + 6 = 0, o*g = 20. Put h, d, 2 in descending order.
2, h, d
Suppose 1277*w = 1253*w + 48. Suppose 4*g = -3*k, 2*g + 2 = -2*k - 0. Sort w, -0.5, 14, g in increasing order.
-0.5, w, g, 14
Let f = -2 - -1. Let s = -72 + 155. Let w = s + -83.3. Sort f, w, -4/5.
f, -4/5, w
Let a(q) = q - 25. Let u be a(50). Put 2, 4, -1, 3, u in descending order.
u, 4, 3, 2, -1
Suppose -2*b + 0*b + 2*r = -4, 3*r + 12 = 0. Suppose 0 = c + 5*y - 120, -4*y - 4 = 8. Let j be c/(-117) + (-6)/(-195)*5. Sort b, j, -5 in decreasing order.
j, b, -5
Let j be 11/(-33) - 2/3. Let b = 5 - 18. Let g = b - -16. Put -63, g, j in increasing order.
-63, j, g
Suppose -u = u - 4. Let p be (u/14)/((-336)/392). Sort -0.02, p, -1/10 in decreasing order.
-0.02, -1/10, p
Let m(i) = -19*i**2 - 6. Let f be m(3). Let a be f/(-15) + ((-12)/15 - -1). Let x be (0 - a/(-3)) + -4. Sort -3, -1, x in descending order.
x, -1, -3
Let w = 0.0381 + 3.9619. Sort w, 0.703, -0.4 in ascending order.
-0.4, 0.703, w
Let g = 15 + -19. Let y = -2390 - -2393. Sort g, 14.1, y in ascending order.
g, y, 14.1
Let w = 43623/104 + -5448/13. Let v(r) = -r**3 - 5*r**2 + r + 4. Let d be v(-5). Sort -82, d, w in descending order.
w, d, -82
Let z be (-20 + 19)*(-4 + 5)*-1. Sort 5, -44, 4, z.
-44, z, 4, 5
Let x = -19 - -23. Suppose -x*u + 19 + 17 = 0. Suppose 2 = u*a + 38. Sort 4, 1, a in decreasing order.
4, 1, a
Let f = -0.4272 + 0.0272. Let r be -4 - (2 + -2) - 10/(-5). Sort f, -1/4, r, 0.2 in ascending order.
r, f, -1/4, 0.2
Suppose 0 = 60*d - 52*d + 120. Let h be (2/d*-3)/((-8)/(-680)). Sort h, -1/4, -2/19 in decreasing order.
h, -2/19, -1/4
Suppose 4*k - 3*k = 3*d - 25, -4*d = -5*k - 37. Let q be (-4)/d - (41/2)/(-1). Suppose 0 = 17*j - q*j + 3. Put 5, j, -2 in descending order.
5, j, -2
Let i = 256 - 257. Let x = -9 + 9. Suppose 2*p = 3*c + 1, -3*p + 8 = -x*c + 2*c. Sort c, 3, i, 2.
i, c, 2, 3
Let t = -0.24 - 11.76. Let d = -382.9864 + -0.0136. Let k = -386 - d. Put 2, -1, t, k in decreasing order.
2, -1, k, t
Suppose 0 = -4*c + 3*f - 134 + 157, -5 = 5*f. Put -1, 2, 1, -253, c in increasing order.
-253, -1, 1, 2, c
Let z be 322/(-98) - 14/(-49). Let g be (2 - 2) + 6/9. Sort 6, z, 3, g in decreasing order.
6, 3, g, z
Let i(s) = 238*s + 4764. Let k be i(-20). Let v(q) = q - 2. Let h be v(0). Put h, 14, k in increasing order.
h, k, 14
Let v = -5660.2 + 5660. Put 1/10, -0.4, v, -0.9, 2/11 in descending order.
2/11, 1/10, v, -0.4, -0.9
Suppose -5*m + 416 = 251. Suppose m*l = 30*l + 15. Put 4, 3, l, 1 in decreasing order.
l, 4, 3, 1
Suppose 21*f = -132978 - 17729 + 23531. Sort 2, f, -4.
f, -4, 2
Let i(w) = -10 + 3*w + w**3 - 6*w - 6*w + 7*w**2. Let b be i(-8). Suppose -5*x + 0*m - 25 = -5*m, 4*x - 34 = -5*m. Sort x, b, 4 in descending order.
4, x, b
Suppose 8431 = -14*z + 8361. Put z, 4, 5, -16 in decreasing order.
5, 4, z, -16
Let b = 6 + -3. Suppose 0*k = 2*k - 10. Let m be (-5)/(-2)*26/(-65). Sort k, m, b, -2 in increasing order.
-2, m, b, k
Suppose -119 = -5*t + j + 319, 0 = 4*j + 32. Sort -4, -1, -2, -8, t.
-8, -4, -2, -1, t
Let j = 743.42 - 747.42. Let o = -0.8 - -0.3. Sort 5/3, o, 1, j in ascending order.
j, o, 1, 5/3
Let t = -11260 + 11262. Put 4, t, -142 in ascending order.
-142, t, 4
Suppose -15*c = -16*c - 20*c. Let q(y) = -y**2 - 7*y - 6. Let b be q(-5). Sort c, b, 6 in descending order.
6, b, c
Suppose 2*x - 9*m = -8*m + 1, -m - 2 = -3*x. Sort x, 980, -2, -4 in decreasing order.
980, x, -2, -4
Let s = -3.97538 + -0.02462. Put 0.4, 9, 0.5, 0.1, s in descending order.
9, 0.5, 0.4, 0.1, s
Suppose -683*p + 586*p = 2813. Let y be ((-8)/6)/(2/(4 - -2)). Sort y, -5, p in ascending order.
p, -5, y
Let x = 8.9 - 9.3. Let t(b) = -6*b**2 + 70*b + 25. Let r be t(12). Put x, 12, -2, r in descending order.
12, r, x, -2
Let l = 10124 - 10128. Suppose -3*x + 6*x - 3 = 2*m, 0 = 3*m - 2*x - 8. Sort -5, l, m, -2 in decreasing order.
m, -2, l, -5
Let b = 103 - 107.988. Let r = -2351.988 - -2352. Let c = r - b. Put 4, 2/7, 1, c in ascending order.
2/7, 1, 4, c
Let k = -363/32 - -367/32. Let r = 1.2 - 0.2. Let n = r + -1. Put k, n, -0.1 in ascending order.
-0.1, n, k
Suppose -3*w + 20 = -2*p + p, -p = -4. Let i = 7 - w. Let c = -0.1457 + 0.2457. Sort c, i, 3, 19 in ascending order.
i, c, 3, 19
Let h = 0.07 + -0.37. Let x = -144155/12 + 72079/6. Put -0.2, -0.5, x, h in descending order.
x, -0.2, h, -0.5
Suppose -2*a = -3*u - 9, 5*u + 11 = -4. Let y be (5/(-10) - 1)*(-20)/6. Suppose 3*s = -4*r - a*s - y, 14 = -r - 5*s. Sort -8, -4, 5, r in decreasing order.
5, r, -4, -8
Suppose b + 4*g + 13 = 3, -3*b - 5*g = 9. Suppose -2 = b*u - 16. Suppose 0 = i - 5 + u. Sort -9, -1, i.
-9, i, -1
Let d = 59.9 - 65.8. Sort -0.3, -2, 1/2, d in ascending order.
d, -2, -0.3, 1/2
Let s = 9 + -5. Let h = 0.8333 - 0.8933. Sort h, s, 1, -0.01.
h, -0.01, 1, s
Let b = 0.64 + -31.64. Let v = 28 + b. Sort -0.78, -0.1, v.
v, -0.78, -0.1
Let h = 25205.02 + -25205. Put h, -3/55, 0.4 in decreasing order.
0.4, h, -3/55
Suppose 7*n = 10*n. Let m be (-2)/(-6)*n + 0. Suppose 17*u - 18*u = -2*t - 6, -5*u + t = -12. Sort 25, u, m in descending order.
25, u, m
Let v be (-1)/((-4)/(-36)*3). Let z = 44.84 - 44. Let k = z + -0.44. Sort v, k, 4 in decreasing order.
4, k, v
Let s = 54 + -52. Suppose -5*k - 16 = n, -n + s*k = 1 - 6. Let u be ((-1)/(-2))/((-9)/(-30)). Sort u, n, -3.
-3, n, u
Let t(u) = -u**3 + 6*u**2 - 7*u + 7. Let r be t(5). Let v = -52 - -121. Suppose -65*k = -v*k - 28. Sort -4, k, r in decreasing order.
r, -4, k
Let w be (-2)/(-1) - (-119 + 1 - -1). Let t = w + -116. Let g = -9
|
{
"pile_set_name": "DM Mathematics"
}
|
j = h + 42, 8*h = 4*j + f*h - 163. What is the units digit of j?
7
Let n = -61 + 65. Suppose 10 = 4*k - 2*k, -k - 279 = -n*g. What is the tens digit of g?
7
Suppose 5*s = 4*h + 1589 - 483, -h - 440 = -2*s. Let g = s + -143. What is the tens digit of g?
7
Let a be (-20 + 118)/((-1)/1). Let h = a - -173. What is the tens digit of h?
7
Suppose -4*m + 2*i - 12 = 0, 5*i - 12 = 2*i. Let u be 3 - (m - 4/2). Suppose 0 = 2*s + 5*p - u, 2*s - s = 4*p + 16. What is the units digit of s?
8
Let j = -1217 - -1931. What is the tens digit of j?
1
Let k(h) = -4*h - 1. Let m be k(0). Let y(f) = -219*f + 3. What is the hundreds digit of y(m)?
2
Suppose 5*v = 6*v + 15. Let d(q) = -q + 29. What is the units digit of d(v)?
4
Suppose -3*l = -2*w + 338, 195 - 26 = w + 4*l. Let t = 78 - w. What is the tens digit of (-4)/(-6) + t/(-3)?
3
Suppose -5*p + 2*v + 4110 = 0, -3*p + 5*v + 2216 + 231 = 0. What is the hundreds digit of p?
8
Let k = -821 + 1914. What is the thousands digit of k?
1
Let z = 9 + 5. Let f be (-4)/z - (-10)/35. Suppose 3*r - 8*r + 50 = f. What is the units digit of r?
0
Let l = -5815 - -8976. What is the units digit of l?
1
Suppose -5*k = -4 + 19. Let z(j) = -j**2 - 5*j - 6. Let l be z(k). Suppose 3*t - t - 58 = l. What is the tens digit of t?
2
Let f(m) = -2*m - 2. Let r be f(-2). Let w(b) = 4*b**2 + 19 - b**2 - 25 + b**r. What is the tens digit of w(3)?
3
Let q = 558 - 320. What is the units digit of q?
8
Suppose 4 = x - m, 2*x + 0*x = -2*m. What is the hundreds digit of (0 - (-15)/x)*(-40)/(-3)?
1
Suppose -12 = -j + 3*t, -5*j - 20*t + 27 = -24*t. Suppose 104 - 40 = p. What is the tens digit of (-36)/27 + p/j?
2
Suppose 3*z - z = 4*d + 156, 3*d = -z + 93. What is the tens digit of (-4 - -5) + 1 + z?
8
Let c(f) = -589*f**3 - 5*f - 4. What is the tens digit of c(-1)?
9
Suppose 4*n - 40 - 104 = 0. Let z be 8/12*n/8. Suppose -4*u + z*c + 117 = -2*u, 62 = u + 2*c. What is the tens digit of u?
6
Let r(w) be the second derivative of 1/6*w**4 + 4*w**2 + 11/6*w**3 + 0 + 8*w. What is the units digit of r(-9)?
1
Suppose 18*s = -18*s + 26748. What is the tens digit of s?
4
What is the tens digit of (-1299)/(-15) - 5*4/(-50)?
8
Suppose 17*p = 14*p + 2229. What is the units digit of p?
3
Let l(y) = -y**3 + 26*y**2 - y - 21. What is the thousands digit of l(18)?
2
Suppose -63751 = -41*x - 17298. What is the thousands digit of x?
1
Let m = 27 - 2. Suppose m = 3*t - 32. What is the tens digit of t?
1
Let q(c) = 2*c - 17. Let f be q(10). Suppose 4*a = f*a + 62. What is the tens digit of a?
6
Suppose 7*t - 199 = 123. What is the tens digit of (-66)/11*t/(-4)?
6
Suppose -j - 2*j = c - 58, 3*j + 3*c = 48. What is the tens digit of j?
2
Suppose 0 = 3*u + 4*t - 7*t - 405, t + 663 = 5*u. Let f = 258 - u. Suppose 4*l + f = 5*z, 2*z - l - 56 = 2*l. What is the units digit of z?
2
Suppose 4*r + 0*t = 3*t + 144, 0 = 2*r + 5*t - 98. Let v be -1*4/(-10) + (-70)/50. Let z = v + r. What is the units digit of z?
8
What is the tens digit of -5*(5 + -4)*-21?
0
Suppose -4*m + 577 = 3*j - 0*j, -3*m - 5*j + 419 = 0. What is the hundreds digit of m?
1
Let w(y) = 7*y**2 - 2*y - 1529. Let q(p) = 4*p**2 - p - 765. Let b(c) = -11*q(c) + 6*w(c). Let x be b(0). What is the units digit of 4/(-3)*x/22?
6
Suppose 6*c = -5*c + 33. What is the units digit of (-2 + c/2)/(1/(-66))?
3
Let a = 164 + -142. What is the tens digit of a?
2
Let x = -439 + 810. What is the units digit of x?
1
Suppose 5*p + 883 - 2297 = -w, 3*w - 294 = -p. Let i = p + -149. What is the tens digit of i?
3
Suppose -11*q = -9*q + 5*n - 505, -5*q + 1247 = -3*n. What is the tens digit of q?
5
Let i = 719 - 398. What is the hundreds digit of i?
3
Let b be (-4)/8*226*-5. Suppose 3*t = -2*t + b. Suppose 5*s - 5*f = 85, 5*s - 2*f + 25 = t. What is the tens digit of s?
1
Suppose -q = -5*m + 15, -2*q + 4*m + 9 = 7*m. Suppose q = -2*c - c. Suppose c*g - 4*g = -28. What is the units digit of g?
7
Let v(q) = -q - 2. Let i be v(-3). Suppose l - 6 = -i. Suppose 0 = -5*x - l*u + 40, 2*u = 5*x - 0*u - 75. What is the units digit of x?
3
Let l = -340 + 638. What is the units digit of l?
8
Let c = -2393 + 3372. What is the hundreds digit of c?
9
Let q(w) = -77*w + 159. What is the hundreds digit of q(-6)?
6
Let c be 16/88 - (-1842)/33. Suppose -22 + c = f. What is the tens digit of f?
3
What is the tens digit of (-9)/((-36)/3176) + 3 + -7?
9
What is the units digit of 2/(-6) + (-17948)/(-42)?
7
Suppose c + 7*a - 1981 = 3*a, 2026 = c - 5*a. What is the tens digit of c?
0
Let k(q) = -q**3 - 9*q**2 + 11*q + 10. Let h be k(-10). Suppose 5*t - 82 - 173 = h. Let j = -30 + t. What is the units digit of j?
1
Suppose -3 - 13 = -4*q. Suppose -858 = -5*v - q*u, 0*v - 3*v + 506 = -2*u. What is the tens digit of v?
7
Let k = 25 - 21. Suppose k*s = -31 - 5. Let f(j) = -j**2 - 14*j - 6. What is the units digit of f(s)?
9
Suppose -10 = -6*v + v. What is the units digit of 57 + (-2)/1 + v?
7
Let n be (-16)/(-6) - 8/(-24). Let t = 128 - n. Suppose g = 4*g + 3*f - 84, 0 = -5*g - 2*f + t. What is the units digit of g?
3
Suppose -3*b - 128 - 32 = -4*m, 5*m - 4*b = 200. What is the units digit of m?
0
Suppose 10*z - 91497 = -11*z. What is the tens digit of z?
5
Let j be (-16)/6*9/(-6). Suppose -j*s = -s - 138. Suppose -2*y + 5*y + p - s = 0, -5*y = -4*p - 88. What is the tens digit of y?
1
Let k be (54/21)/((-6)/(-56)). Let l = k - 23. What is the units digit of (11 - l)/5 - -66?
8
Let h = 549 + 7. What is the hundreds digit of h?
5
Suppose 8*x - 10*x = 2*n - 64, 5*n + 29 = 2*x. What is the tens digit of x?
2
Suppose 0 = p + 5, -4*l = 23*p - 27*p - 5724. What is the thousands digit of l?
1
Let m(l) = -l**2 - 2*l + 4. Let w be m(0). Suppose 4*c - w*z = z - 33, 0 = -3*c + z - 11. What is the tens digit of 4/(-8)*c + 11?
1
Suppose 0 = -643*j + 630*j + 30875. What is the tens digit of j?
7
Let l(k) = -23*k - 24. Let i be l(5). Let s = 196 + i. What is the units digit of s?
7
Let t(s) = 29*s + 23. Let m be t(13). What is the units digit of (-4)/(-3) + -1 + m/6?
7
Let d be (-4)/6*99/(-22). Suppose d*b = c + 32 + 75, 3*c + 173 = 5*b. What is the units digit of (-3)/9*(-2 - b)?
3
Suppose 0*o - f + 15 = -o, 8 = 2*f. Let z(a) = -a**2 - 11*a + 51. Let c be z(-16). Let w = o - c. What is the units digit of w?
8
What is the hundreds digit of 4606/(-21)*90/(-35)?
5
Let q = -2053 - -5506. What is the tens digit of q?
5
Suppose -v = v - 4. Suppose 0 = -4*w - 3*t, v*w = 4*w - 4*t - 22. Suppose -4*n - 5*j + 20 = 0, 2*j + 4 = w*n - 11. What is the units digit of n?
5
Suppose -j = -6 + 1. Suppose 2*c + 2*z - 12 = 0, -j*c - z - 3*z = -30. Suppose 2*n = -s + 16 + 13, s - 5*n = -c. What is the tens digit of s?
1
Let a be ((-6)/(-4))/((-1)/6). Let k(i) = i + 11. Let v be k(a). What is the tens digit of 10/(v/4 + 0)?
2
Let n(h) = 257*h**2 + 2*h + 1. Let a be n(-1). Suppose -12*k = -8*k - a. What is the tens digit of k?
6
Let s(k) = k + 2. Let g be s(5). Let q = g - 3. Suppose -7 = -q*x + 97. What is the units digit of x?
6
Suppose 3*r + 9904 = 2*t, r = 9*t - 7*t - 9904. What is the thousands digit of t?
4
Let w(f) = f + 12. Let b be w(-11). Let p be 2/b - (-16)/(-4). What is the units digit of (0 + 3)/(p/(-6))?
9
Suppose 4*s - 59 = -7. Let t = 13 + 0. Let k = t + s. What is the units digit of k?
6
Suppose -23 = -j - 0. Let v = 49 + -50. What is the units digit of (j - v - 0) + 1?
5
Let v(h) = h**3 - 5*h**2 - h - 6. Suppose 0 = r + 4*r - 30. Let f be 18/10*20/r. What is the tens digit of v(f)?
2
Let z(s) = 66*s**3 + 4*s**2 + 7*s - 9. Let a(j) = 33*j**3 + 2*j**2 + 4*j - 5. Let f(w) = 7*a(w) - 4*z(w). What is the units digit of f(-1)?
2
Let v = 22 + 148. What is the units digit of v?
0
Let j(s) = -23*s**3 - 1. Let i be j(-1). Suppose 0 = 5*g + 188 + i. What is the tens digit of 1 + -2 - (1 + g)?
4
Let f(y) = y**3 + 3*y**2 + 5*y - 1. Let w be f(-2). What is the hundreds digit of (-672)/w + (1 - -3)?
1
Let q = 24 - 15. Let z = 59 - q. What is the tens digit of z?
5
Let l = -669 + 1634. What is the units digit of l?
5
Let q(g) = -g**3 + 9*g**2 - 8*g + 7. Let n be q(8). Let w = n + -7. What is the units digit of (w + -9)/((-15)/50)?
0
Let c = -5639 - -8731. What is the hundreds digit of c?
0
Let w(p) = -p**2 - 10 + 21*p - 4 + 2 - 10*p. Let n be w(8). What is the units digit of (-15)/(-6)*n/10
|
{
"pile_set_name": "DM Mathematics"
}
|
. Calculate q*k(t) + 6*a(t).
2*t - 1
Let h be 4/(143/65 + 2/(-10)). Let d(i) = 8*i - 6*i - i + 2*i**h - 5*i. Let c(u) = -4*u**2 + 9*u + 1. Determine 2*c(g) + 5*d(g).
2*g**2 - 2*g + 2
Let w(c) = 3*c**3 - c**2 + 4*c. Let u(o) = 4*o**3 - o**2 + 4*o. Determine -4*u(a) + 5*w(a).
-a**3 - a**2 + 4*a
Let g(d) = -15*d - 1. Let k(j) = j**3 + 7*j**2 + 9*j - 4. Let i be k(-4). Let z(w) = 23*w + 2. Calculate i*g(q) + 5*z(q).
-5*q + 2
Let s be (10 + -12 - (-2 - -4))/(-2) + 4. Let l(c) = 9*c - 5. Suppose 5 = -3*w + 2*w. Let d(n) = 10*n - 6. Give s*l(x) + w*d(x).
4*x
Let v(o) = o**2 - 6. Let u(f) = -f**2 + 13*f + 6. Suppose -3*n + 40 = 4*x, n = 4*x - 5*x + 9. Let t be u(x). Let z(p) = -5*p**2 + 35. Give t*z(j) + 35*v(j).
5*j**2
Let k(n) = 7*n**2 + 7. Let u(r) = -14*r**2 - 15. Suppose -38*b - 145 = -639. Determine b*k(f) + 6*u(f).
7*f**2 + 1
Let y(o) = -o**3 - o**2 - o + 1. Let h(f) = 3*f**3 + 2*f**2 + 51*f. Determine h(x) + 2*y(x).
x**3 + 49*x + 2
Let d(o) be the third derivative of -o**3 + 0 + 1/20*o**5 + 0*o**4 + 0*o + o**2. Let i(z) = -1 - z**2 - z**2 + 3*z**2. Calculate d(k) - 4*i(k).
-k**2 - 2
Let i(k) be the first derivative of -k - 9. Let v(g) = -g**2 + 4*g + 1. Let t = 80 + -79. Give t*i(z) - v(z).
z**2 - 4*z - 2
Let v(a) = 8*a + 39. Suppose 4*k = -l + 16, -12*l - 4 = -k - 8*l. Let d(g) = -3*g - 13. Calculate k*v(q) + 11*d(q).
-q + 13
Let i = -6 - 0. Suppose 5 = -2*d + j + 8, 3*j + 13 = 2*d. Let o(b) = -1. Let n(f) = f + 6. Give d*n(w) + i*o(w).
-w
Let w(o) = -9*o + 6. Let q(z) = -z + 1. Let x(t) be the first derivative of -t**2/2 + 13*t - 7. Let p be x(7). What is p*q(y) - w(y)?
3*y
Suppose 8 - 2 = -2*r. Let m(v) = 2*v**3 - 3*v**2 - v + 3. Let i(f) be the third derivative of -f**6/120 + f**5/60 - f**3/6 + 31*f**2. What is r*i(w) - m(w)?
w**3 + w
Let h(l) = -l + 17. Let n(y) = 0 + 7 - 6 + 5. What is 3*h(d) - 8*n(d)?
-3*d + 3
Let x(k) = 89*k**3 - 3*k. Let d(q) = -90*q**3 + 4*q. Determine 3*d(o) + 4*x(o).
86*o**3
Let f(p) = -7*p + 7. Let i(b) = -1. Give 2*f(a) + 6*i(a).
-14*a + 8
Let p(j) be the third derivative of 0*j - 1/12*j**4 + 10*j**2 - 5/6*j**3 + 0. Let y(q) = -6*q - 14. Let k = 2 - 6. What is k*y(z) + 11*p(z)?
2*z + 1
Let w(u) = u**2 + 3*u - 1. Let m(z) = 8*z**2 + 49*z - 8. Determine -m(h) + 6*w(h).
-2*h**2 - 31*h + 2
Let w(x) = 3*x + 3*x**2 - 16*x + 3 + 4*x + 4*x. Let t(z) = 4*z**2 - 6*z + 3. Give -5*t(u) + 6*w(u).
-2*u**2 + 3
Let z(v) = -25530*v**3 - 1265*v**2 - 1265*v - 1265. Let q(b) = 121*b**3 + 6*b**2 + 6*b + 6. Determine -1265*q(j) - 6*z(j).
115*j**3
Let k(d) = -2*d**2 + 150*d + 5. Let y(c) = -3*c**2 + 225*c + 7. Calculate 7*k(q) - 5*y(q).
q**2 - 75*q
Let h(c) = 5*c + 8. Let i(t) = -23 + t - 9 + 33. Determine -h(p) + 4*i(p).
-p - 4
Let a(g) = 202*g**3 - 7*g**2 + 5*g + 28. Let k(t) = -303*t**3 + 11*t**2 - 8*t - 44. Calculate 8*a(n) + 5*k(n).
101*n**3 - n**2 + 4
Let v(n) = -4*n**3 - 7*n**2 + 6*n - 6. Let m(a) = a**3 + a**2 - a + 1. Let s = 1502 + -1508. Give s*m(j) - v(j).
-2*j**3 + j**2
Let u(m) = 4*m - 7. Let p(v) = 18 + 2*v - 3*v - 17. Let w be (45/20)/((-30)/80). Give w*p(k) - u(k).
2*k + 1
Let t(k) = 1851*k + 14. Let u(x) = -463*x - 3. Give 4*t(v) + 18*u(v).
-930*v + 2
Let l(u) = -356*u**2 - 12*u + 12. Let h(z) = 1069*z**2 + 34*z - 34. What is 6*h(p) + 17*l(p)?
362*p**2
Suppose 3*h + 1 = -8. Let y be -2 - ((-3)/6*0 + h). Let s(v) = 2*v**2 + 7*v - 5. Let i(z) = z**2 + z - 1. What is y*s(c) - 5*i(c)?
-3*c**2 + 2*c
Let f(z) be the third derivative of -z**6/30 + z**4/12 - z**2. Let t be ((80/2)/(-10))/(-2). Let v(m) = 5*m**3 - 3*m. Determine t*v(o) + 3*f(o).
-2*o**3
Let t(a) = 48*a - 1. Let b(n) = 141*n - 3. Give -6*b(p) + 17*t(p).
-30*p + 1
Let o(u) = 2*u**3 + 11*u**2 + 6*u - 8. Let w(x) = -3*x**3 - 23*x**2 - 13*x + 17. Let n(p) = -13*o(p) - 6*w(p). Let q(t) = t**3 + t**2. Calculate -n(f) - 4*q(f).
4*f**3 + f**2 - 2
Let w(a) = 220*a - 3. Let c(x) = 20240*x - 275. Calculate 3*c(t) - 275*w(t).
220*t
Let o(n) = -n**3 - 3*n**2 - 3*n - 3. Let d(i) = i**3 + 3*i**2 + 4*i + 4. Let k = -407 - -410. Give k*d(l) + 4*o(l).
-l**3 - 3*l**2
Let y(h) = 15 + 3*h**3 + 0 - 4 - 7 + 0*h**2 - 2*h**2. Let o(w) = 1. What is -4*o(b) + y(b)?
3*b**3 - 2*b**2
Let s(i) = 8*i + 4. Let u(f) = -f - 1. Let m be 13*(-2 + (5 - 6/3)). Suppose -5*r + 29 = 4, 0 = -3*b - r - m. What is b*u(t) - s(t)?
-2*t + 2
Let h(z) = z**3 + z + 1. Let x(s) = -12*s**3 - 8*s + 4. What is 8*h(f) + x(f)?
-4*f**3 + 12
Let w(y) = 85*y - 2. Let t(j) = -1. What is 4*t(m) - w(m)?
-85*m - 2
Let t(d) = 3*d**3 + 6*d - 5. Let m = -314 - -313. Let n(x) = -x**3 - x + 1. Calculate m*t(r) - 6*n(r).
3*r**3 - 1
Let m(s) = 95*s + 4. Let i(l) = -190*l - 9. Calculate 2*i(j) + 5*m(j).
95*j + 2
Let d(g) = -g**3 - 5*g**2 + 3*g - 20. Let a be d(-6). Let x(y) = y**3 - y**2. Let n(p) = 4*p**3 - 5*p**2. Give a*n(u) + 10*x(u).
2*u**3
Let q(x) = x**3 + x**2 - 1. Let b(j) = -5*j**3 - 4*j**2 + j + 1. What is b(h) + 2*q(h)?
-3*h**3 - 2*h**2 + h - 1
Let p be -30*(4 + -14 - -4). Let j(x) = x**2 + p*x - 8*x**2 - 179*x - 4*x**3. Let a(o) = -2*o**2 - 3*o**3 - o**2 + o**3. Give -7*a(u) + 3*j(u).
2*u**3 + 3*u
Let m(t) = -3*t + 6. Let r(o) = -3*o + 5. Let q = -16 + 16. Suppose q*u = -11*u + 66. Determine u*r(f) - 5*m(f).
-3*f
Let s(a) = -17*a**2 - a. Let b(g) = -16*g**2 - g. Give -4*b(q) + 5*s(q).
-21*q**2 - q
Let c(s) = -31*s - 977. Let t(g) = 23*g + 976. What is -3*c(n) - 4*t(n)?
n - 973
Let t(i) = -i**2 + 5*i - 1. Let h(p) = -p**2 + 6*p - 1. Suppose 2*y = -0*y. Suppose 6 = 2*l - g, 0 = -y*l - 3*l - 4*g + 20. Determine l*h(s) - 5*t(s).
s**2 - s + 1
Let b(x) = -623*x - 622*x + 1249*x. Let j(d) = 2*d**2 + 3*d - 2. Let u be j(-3). Let v(p) = -9*p. Determine u*b(y) + 3*v(y).
y
Let l(j) = -1. Let x(q) = q - 5*q + 2*q + 4 + 4. Let s(r) = 3*l(r) + x(r). Let n(m) = m**3 - 1. Calculate -3*n(f) - s(f).
-3*f**3 + 2*f - 2
Let k(b) = 6*b**2 + 76*b + 109. Let j be k(-11). Let v(g) = -1 - 4 + 2*g - 6*g + g**3. Let x(i) = i + 1. Give j*v(n) - 5*x(n).
-n**3 - n
Let o(i) = -6*i**3 + 3*i**2 - 9*i - 2. Let w(n) = n**3 - n**2 - n. Determine -o(h) - 5*w(h).
h**3 + 2*h**2 + 14*h + 2
Let h(y) = 4*y**3 - 4*y**2 + 3*y + 3. Let o(n) = -3*n**3 + 3*n**2 - 2*n - 2. Determine -4*h(c) - 5*o(c).
-c**3 + c**2 - 2*c - 2
Let w(s) = 7*s**3 + 16*s + 2. Let n(m) = -10*m**3 - 24*m - 3. What is 5*n(p) + 8*w(p)?
6*p**3 + 8*p + 1
Let p(y) = 4*y + 1. Let v(r) = -20*r - 6. Suppose -7*q - 236 = -124. Calculate q*p(f) - 3*v(f).
-4*f + 2
Let n(f) = 5*f**2 + 2*f - 2. Let q(o) = 44*o**2 + 16*o - 6. Let v(h) = 175*h**2 + 63*h - 21. Let a(d) = 21*q(d) - 5*v(d). Determine 2*a(g) - 21*n(g).
-7*g**2
Let h(v) = 2*v - 49. Let o(r) = 6*r - 146. Calculate 11*h(y) - 4*o(y).
-2*y + 45
Let i(z) = z**2 - 4. Let b = 85 + -61. Let g = b - 15. Let v(q) = q**2 - 2*q + 2*q**2 + q - g. Calculate 5*i(u) - 2*v(u).
-u**2 + 2*u - 2
Let z(u) = -1 - 5*u**3 - 2*u**3 - u**2 + 5*u - 2. Suppose 0 = 117*h - 122*h - 25. Let k(n) = 6*n**3 + n**2 - 4*n + 3. What is h*k(r) - 4*z(r)?
-2*r**3 - r**2 - 3
Let n(b) = -b - 7. Let r(m) = 8*m - 24. Determine -5*n(i) + r(i).
13*i + 11
Let q(t) = t**2 - t. Let n(a) = 2*a**3 + 9*a**2 + 2*a. Calculate -n(f) + 4*q(f).
-2*f**3 - 5*f**2 - 6*f
Let q(m) = -5*m**3 - 4*m**3 + m + 10*m**3 + 3. Let r be q(0). Let l(j) = -j + j - 2*j - 3 + r*j. Let y(z) = 6*z - 16. Calculate -22*l(f) + 4*y(f).
2*f + 2
Let b(a) = -2*a + 4. Let w(d) = 1369*d - 444. Calculate -111*b(u) - w(u).
-1147*u
Let j(l) = -2*l - 179. Let p(t) = t + 90. Give -3*j(w) - 5*p(w).
w + 87
Let y(x) = 5*x**3 - 4*x + 1. Let p(f) = 44 - 25 - 4*f**3 + 3*f + 0*f - 20. Determine -6*p(j) - 5*y(j).
-j**3 + 2*j + 1
Let y(f) = -7*f**2 + f - 9. Let o(b) = -b**3 + 12*b**2 + 29*b - 11. Let r be o(14). Let q(j) = 4*j**2 - j + 5. What is r*y(n) + 5*q(n)?
-n**2 - 2*n - 2
Let d(l) = 2*l**3 - 10*l**2 - 12*l. Let b(r) = 2*r**3 - 7*r**2 - 11*r + 1. Give 3*b(g) - 2*d(g).
2*g**3 - g**2 - 9*g + 3
Let l(q) = 4*q**2 - 14*q + 2. Let i(f) = 5*f**2 - 16*f + 1. Calculate 5*i(a) - 6*l(a).
a**2 + 4*a - 7
Let j(l) = 7*l - 3. Let x(s) = s + 1. Let p(m) = 3*m + 1. Let k(f) = -p(f) + 2*x(f). Let a be 2 + (-70)/22 - (-16)/88. What is a*j(g) - 4*k(g)?
-3*g - 1
Let r(w) = -2*w**2. Let j(d) = d**2. Let v(s) = 2*s**2. Let i(p) = -4*j(p) + v(p). Let u = -1 + -3. Give u*r(h) + 5*i(h).
-2*h**2
Let v(p) = -2 + p**2 - p**3 - 1 - p + 2. Let y(u) = -2*u**2 + 5*u
|
{
"pile_set_name": "DM Mathematics"
}
|
79, l - 2*d - x = 258. What is the highest common divisor of l and 36?
36
Let u(z) = 4*z**2 - 46*z - 578. Let l be u(-8). Calculate the greatest common divisor of l and 134.
2
Suppose 12*u = -397 - 23. Let l(h) = -3*h**2 - 103*h + 74. Let g be l(u). Let s(z) = -2*z + 2. Let b be s(-4). Calculate the greatest common factor of b and g.
2
Let i be 20/(4/(-2)) - (1348 + -1382). Calculate the highest common factor of 5484 and i.
12
Let w(v) = 240*v - 168. Let h be w(3). What is the highest common factor of h and 966?
138
Let s = 95 - 91. Suppose s*b - 7*b + 30 = 0. What is the highest common divisor of b and 12?
2
Let y(q) = 2651*q - 227698. Let g be y(86). Let v = -9 + 18. What is the greatest common divisor of v and g?
9
Suppose -3*a + 9472 = 2*n, -3158 = -a - 26*n + 25*n. Calculate the greatest common factor of 36 and a.
12
Let i(f) = -f**3 - 14*f**2 - 31*f + 24. Let v be i(-11). Suppose 0 = v*l - 2*z - 98, z = 5*l + 178 - 443. Calculate the highest common divisor of l and 126.
18
Let i(t) = 93*t + 4318. Let z be i(34). Calculate the highest common factor of z and 88.
88
Let g = -187 + 83. Let z = g - -124. Calculate the greatest common divisor of z and 140.
20
Let s(t) be the first derivative of 1/3*t**3 + 5*t - 13/2*t**2 - 10. Let k be s(13). What is the highest common divisor of 40 and k?
5
Let i = 25 - -29. Let l be (1 - (-7 + 6))/((-2)/(-27)). What is the highest common factor of i and l?
27
Suppose 3*y + 2178 = -47*y + 116*y. Suppose 12 = 4*c - 0*c. Calculate the highest common factor of y and c.
3
Suppose -2054*t + 658764 = 470*t. Suppose 3*n - 116 = -3*b - 20, 4*b - 5*n = 164. What is the greatest common divisor of b and t?
9
Let r be (2/(-2))/(13/(-13 - 52)). Suppose -2 = -2*f - 66. Let l = r - f. What is the greatest common divisor of l and 74?
37
Let z(q) = -18*q - 34. Let u be z(11). Let f = -21 - -37. Let s be (-2)/4 + 0 - u/f. Calculate the greatest common divisor of 14 and s.
14
Suppose b = 4*b + r - 1843, -2*r = -3*b + 1858. Calculate the highest common factor of 396 and b.
44
Let y(p) = -25 - 6*p - 3*p + 6*p. Let c be y(-13). Let l = 54 - c. What is the greatest common divisor of 16 and l?
8
Let a(n) be the first derivative of 70*n**3/3 - 11*n**2/2 + 11*n - 21. Let p be a(1). What is the greatest common factor of p and 56?
14
Let p(g) = 4*g**3 - 17*g**2 - 41*g + 247. Let t be p(7). Calculate the greatest common factor of 1 and t.
1
Let k(r) = -r + 11. Suppose 3 = 4*q + 5*c, 3*q - 1 = -5*c + c. Let d be 2/q - (-94)/14. Let x be k(d). Calculate the greatest common factor of x and 20.
4
Suppose -6*w + 6*w - 3*w = 0. Suppose w = 3*a - 5*u - 49, -4*u = -a + 17 - 3. What is the highest common factor of a and 12?
6
Let l(u) = -16*u**2 - 182*u + 54. Let b be l(-8). Calculate the greatest common factor of 12 and b.
6
Let v be (1 - (-18)/(-14)) + 484/28. Suppose r + v = -24. Let i = r - -48. Calculate the highest common divisor of 28 and i.
7
Let s(v) = -2*v**3 - 120*v**2 - v - 75. Let k be s(-60). Suppose -217 = -5*o - 42. Let y = o + k. What is the greatest common factor of 15 and y?
5
Suppose -u + 19*q - 114 = 0, 2*q - 165 = -2*u - 73. Let m be (-4)/(-10) + 2/(-5). Suppose m = 5*r - 85 - 390. Calculate the highest common factor of u and r.
19
Let h(y) = 208*y**3 - 7*y**2 - y + 8. Let l be h(1). What is the highest common factor of l and 3458?
26
Let l = -3243 - -3253. Let r(x) = -x + 13. Let o be r(-9). Calculate the greatest common factor of l and o.
2
Suppose -4*r = -3*i - 16 + 618, -2*i + 404 = -4*r. Calculate the greatest common factor of i and 264.
66
Suppose -56*o = -53*o + 225. Let a be (((-11)/(-2))/(-1))/(o/6150). What is the highest common factor of 41 and a?
41
Suppose -74*n = -93*n + 532. What is the highest common divisor of 3430 and n?
14
Let x = -11883 + 11910. Let a be 2262/21 + (-4)/(-14). Calculate the greatest common divisor of a and x.
27
Let z(g) = -4*g - 11. Let s be z(-4). Suppose 4*b - 19 = w + 8, s*b = -3*w + 38. Suppose 2*o - 29 = -b. What is the greatest common divisor of o and 1?
1
Suppose u + k + k = 84, 0 = 2*u - 2*k - 174. Suppose 5*h + 3*f - 1896 = 0, 5*f + 2000 = 785*h - 780*h. Calculate the highest common factor of h and u.
43
Let t(i) be the first derivative of i**2 + 29*i + 9. Let s be t(-12). Suppose 0 = s*w - 2*w - 21. Calculate the greatest common divisor of w and 21.
7
Suppose -13*a - 4*a - 8*a + 5600 = 0. Calculate the highest common factor of 21 and a.
7
Suppose -149*c - 20*c - 29*c + 720918 = 0. What is the greatest common divisor of 33 and c?
11
Suppose -4*n + 136 = s, 47 = 2*s + 31. What is the highest common factor of 1028 and n?
4
Let l = -1886 - -1903. Calculate the highest common divisor of l and 1088.
17
Suppose 11*a + 9632 = 10402. Calculate the highest common factor of 525 and a.
35
Let w be ((-15)/(-6))/(6/4 + -1). Let y be w*(-16)/120*(-1 + -11). What is the highest common factor of y and 64?
8
Let z be (-1)/(-3) + (20/(-15))/1. Let b be (-4)/((-12)/309) - z. Suppose b = -7*g + 11*g. What is the greatest common factor of g and 286?
26
Suppose 7*s - 27 = 6*s. Suppose 4*c + 5 - 9 = 4*w, -4*c + 7 = -3*w. What is the highest common divisor of s and w?
3
Let v = 331 + -346. Let k be (-418)/v - 17/(1275/(-10)). What is the highest common factor of 154 and k?
14
Let k = -587 + 1063. Let h(i) = k*i**3 - 480*i**3 - 4*i**2 - i**2 - 4 + i + 3. Let m be h(-4). What is the highest common factor of 9 and m?
9
Let l = 437 + -336. Let t = l + 133. Calculate the highest common factor of t and 18.
18
Let w(u) = -4*u**3 - 8*u**2 - 2*u + 85. Let t be w(-7). What is the highest common divisor of t and 39?
13
Let u(w) = 74*w**2 + 7*w - 7. Let h be u(1). Suppose -g = 3*p - h, 3*p + 4*g - 54 = 8. What is the greatest common factor of 182 and p?
26
Suppose f - 120 = 5*q + 338, 2368 = 5*f + q. Let u = f + -459. Let n = 206 - 108. Calculate the highest common divisor of n and u.
14
Suppose 3*h - 5*q = h + 76, 5*h + 3*q - 190 = 0. Let l(p) = -3*p**3 - 157*p**2 - 37*p + 1141. Let n be l(-52). What is the highest common factor of n and h?
19
Let o be (-9)/15*-5 + -52. Let c = -19 - o. Suppose -2*w = -54 - 186. What is the highest common divisor of w and c?
30
Let j(x) = x**2 - 8*x + 12. Let f be j(8). Suppose 4*g = -m + 53, 3*g - 43 = -g + m. Suppose -g*o + 1385 = -487. Calculate the highest common factor of o and f.
12
Let p be 2 + ((-2)/(-4)*6 - 1). Suppose 30 = p*d + 190. Let l be (18/8)/(105/d + 3). Calculate the greatest common factor of 78 and l.
6
Let k = 38 + -27. Let l = -398 + 125. Let r = -152 - l. What is the greatest common divisor of k and r?
11
Let w be -7 - ((-30 - 42456/36) + (-5)/3). Calculate the highest common divisor of 364 and w.
28
Let u = -124 + 208. Let o(y) = 2*y**2 - 7*y - 410. Let n be o(18). Calculate the highest common factor of u and n.
28
Let z = 38 - -55. Suppose 8*g + z = 893. Calculate the highest common factor of g and 80.
20
Let y be -2 + 44 + 6/3. Let c = -500 - -500. Suppose 3*a - 4*z = -2*a + 95, 3*a - 5*z - y = c. What is the highest common divisor of 92 and a?
23
Suppose -25*f = -12*f + 28*f - 263917. Calculate the greatest common divisor of 41 and f.
41
Let a(y) = 24 + 4*y + y**2 - 7 - 17*y + 5*y. Let p be a(5). Suppose 2*z = 3*n + 11, p*n + 15 = 3*z - n. What is the greatest common divisor of 44 and z?
4
Suppose -1115*x + 553*x - 49657 = -579*x. What is the highest common factor of x and 161?
23
Suppose 41*b - 68719 = -15624. What is the highest common divisor of b and 49?
7
Suppose 10*w = 59 + 111. Suppose -c + 0*c + 62 = -3*n, -4*c + w = -n. Let m be 8/(-60)*n*10. What is the highest common divisor of m and 8?
4
Suppose 910 = 4*z - 3*i + 2643, 2*i = -2*z - 856. Let g = z + 653. What is the highest common divisor of g and 6?
6
Suppose 0 = -3*h + 4*f - 1, 2*h - 5*f = -f - 2. Let m(r) = -8 + 17*r**2 + 4*r**3 + 0 - 5*r**3 + r. Let z be m(17). What is the highest common factor of h and z?
1
Suppose -353 = -a - 19*p + 17*p, -5*p + 710 = 2*a. Calculate the greatest common divisor of a and 30.
15
Let x(g) = g**2 - 25*g + 29. Let r be x(24). Suppose -276 = -4*k - 3*u + 363, r*k + u = 785. What is the highest common factor of 39 and k?
39
Let b = -2271 + 3054. Calculate the highest common factor of 432 and b.
27
Let q = 1184 + -1024. Calculate the greatest common factor o
|
{
"pile_set_name": "DM Mathematics"
}
|
u be ((-105)/60)/((-1)/(-4)). Let n(d) = 2*d - 11*d**3 + 3*d - 7*d**2 + 2*d. What is u*z(o) - 3*n(o)?
-2*o**3
Let c(n) = -3*n**3 - 2*n - 4. Let q(f) be the third derivative of 0*f - 1/4*f**4 - 11/6*f**3 + f**2 - 1/15*f**6 + 0 + 0*f**5. What is 11*c(y) - 4*q(y)?
-y**3 + 2*y
Let w(j) = 11*j**2 + 8*j + 2. Suppose 35 = 2*q + 3*q + d, 0 = -5*q - 5*d + 15. Let v(u) = -4*u**2 - 3*u - 1. Give q*v(b) + 3*w(b).
b**2 - 2
Let l(n) = -4*n**2 - 12. Let k(h) = 9*h**2 + 23. Calculate -2*k(v) - 5*l(v).
2*v**2 + 14
Let n(d) = -d + d + 8 + 11*d. Let u(p) = -4*p - 3. What is -3*n(h) - 8*u(h)?
-h
Let u(m) be the third derivative of m**5/60 - m**4/24 - m**3/6 - 40*m**2. Let l(q) = -2*q**2 + 2*q + 5. What is -l(k) - 5*u(k)?
-3*k**2 + 3*k
Let b(y) = y - 2*y**2 + y**3 + 0*y + 3*y + 6. Let n(f) be the second derivative of -f**5/20 + f**4/6 - f**3/2 - 5*f**2/2 - 37*f. Give 5*b(p) + 6*n(p).
-p**3 + 2*p**2 + 2*p
Let y(d) = 0*d - 3*d**3 + 6*d**2 + 4*d + 10 - 15. Let a(w) = 6*w**3 - 11*w**2 - 7*w + 9. What is 6*a(s) + 11*y(s)?
3*s**3 + 2*s - 1
Let o(z) = -26*z - 3. Let v(k) = 12*k + 1. Let y(r) = -4*o(r) - 9*v(r). Let i(l) = -12*l + 10. Calculate 3*i(u) - 10*y(u).
4*u
Let w(t) = t**3 + 2*t**2 - 2*t. Let a(x) = -5*x**3 - 9*x**2 + 9*x. Suppose n - 54 = -n. Let d be 1/(((-12)/n)/4). Let h be 4/3 - 6/d. Determine h*a(u) + 9*w(u).
-u**3
Let r(x) = x**2 + 5*x + 5. Suppose -2*s + 1 = -0*s - k, -2*s - 5*k - 5 = 0. Let b = s + 2. Let c(y) = y + 2*y + y**b + 0*y + 3. Give 5*c(d) - 3*r(d).
2*d**2
Let b(t) = t**2 + t. Let o(k) = -k**2 - 2*k + 2. Calculate 2*b(d) + o(d).
d**2 + 2
Let b(k) = -k**2 - k + 1. Let l(i) = 3*i**2 + 5*i - 6. Suppose 0 = -2*j + 6*j + 8. Let o be (j/4)/(4/8). Determine o*l(d) - 5*b(d).
2*d**2 + 1
Let m(t) = t - 14. Let v(w) = 1. Give m(q) - 2*v(q).
q - 16
Let p(z) = -4*z**2 + 2*z - 10. Let o(b) = 5*b**2 - 3*b + 11. Give 2*o(f) + 3*p(f).
-2*f**2 - 8
Let i(w) = -3*w**2 - 12. Let k(p) = -p**2 + 4*p - 7. Let x be k(5). Let b(y) = y**2 + 5. Determine x*b(c) - 5*i(c).
3*c**2
Let y(w) = w. Let t be -1 - (-6 - 0 - -2). Suppose -5*v - 15 = 4*m, -5*m + m = v + t. Let s = 19 + -20. Let i(n) = -n - 1. Determine s*i(h) + v*y(h).
-2*h + 1
Let x(d) be the first derivative of 2*d**2 + 6*d - 51. Let t(m) = 1. Calculate 6*t(n) - x(n).
-4*n
Let y(h) = 19*h**3 + 4*h**2 + 4. Let t(n) = 39*n**3 + 7*n**2 + 7. Calculate 4*t(x) - 7*y(x).
23*x**3
Let y(h) = 9*h - 11. Let j(w) = 1 - 9 + 2 + 5*w. Determine -11*j(p) + 6*y(p).
-p
Let h(q) = 28*q - 8 - 23*q + 4. Let o(j) = -11*j + 9. What is -5*h(a) - 2*o(a)?
-3*a + 2
Suppose 2*p + 1 = 5*i, 3*p + 7 = i + i. Let z = -1 - -3. Let a(t) = -t - 2*t - z*t. Let v(r) = r. Give p*v(y) - a(y).
2*y
Let g(s) be the first derivative of -11*s**5/120 + s**4/4 + 2*s**3/3 + 3. Let y(d) be the third derivative of g(d). Let k(z) = 4*z - 2. Give 8*k(o) + 3*y(o).
-o + 2
Let o(m) = -6*m**3 + 3*m**2 - 4*m - 1. Let f(k) = -11*k**3 + 5*k**2 - 7*k - 1. Calculate -3*f(i) + 5*o(i).
3*i**3 + i - 2
Let i be (0/(-8))/(5 + -2). Let q(p) be the second derivative of -7/12*p**4 - 1/3*p**3 + i + p - 7/2*p**2. Let o(x) = -3*x**2 - x - 3. What is 10*o(h) - 4*q(h)?
-2*h**2 - 2*h - 2
Let o(s) = 25*s. Let t(f) = -49*f. Give -11*o(j) - 6*t(j).
19*j
Let x(v) be the first derivative of -5*v**2 - v + 1. Let c = -65 - -58. Let l(k) = 3*k. Calculate c*l(u) - 2*x(u).
-u + 2
Let x be 9/1 + (-1 - 1). Let b(o) = -7*o**2 + o - 6. Let i be (-9 - -2)*1/(-1). Let l(y) = y - 2*y**2 + i - 2*y + 10*y**2. Give x*b(h) + 6*l(h).
-h**2 + h
Let f(z) = 3*z + 2. Let x(m) = -2 - 3 - 149*m + 73*m + 69*m. What is 5*f(l) + 2*x(l)?
l
Let g(a) = 16*a**3 + 7*a**2 + 7*a - 7. Let t(x) = 5*x**3 + 2*x**2 + 2*x - 2. Determine 2*g(s) - 7*t(s).
-3*s**3
Let h(m) = -11*m + 31. Let s(u) = 6*u - 16. Calculate 4*h(c) + 7*s(c).
-2*c + 12
Let q(u) be the first derivative of 3*u**2 + 6*u - 2. Let c(s) be the third derivative of -s**4/24 - s**3/6 - 3*s**2. Determine -10*c(g) - 2*q(g).
-2*g - 2
Let z(s) = s**2 - s + 1. Let t(r) = -11*r**2 + 4*r - 3. Calculate t(d) + 3*z(d).
-8*d**2 + d
Let o(t) = -9*t**2 - 8*t + 10*t**2 + 3*t + 2. Let z(q) = q**2 - q. What is -o(j) + 3*z(j)?
2*j**2 + 2*j - 2
Let a(f) = -f + 1. Let z(m) = -14*m + 7*m + 4 + m. What is 2*a(o) - z(o)?
4*o - 2
Let i(o) = o**3 - 2*o**2 + 3*o - 3. Let h(p) be the first derivative of 1/2*p**4 + 2*p**2 + 1 - p**3 - 4*p. Give -2*h(x) + 3*i(x).
-x**3 + x - 1
Let v(a) = -a. Let z(j) = -j**3 - 2*j**2 + j - 4. Let k be z(-4). Suppose 0 = -x + 5, -b - 7*x + k = -2*x. Let r(w) = -4*w. Determine b*r(g) + 3*v(g).
g
Let w(q) = -q**2 + 1. Let u be (4/6)/(4/6). Let n = 3 - 6. Let y(h) = h**2 - 5*h**2 - h + 0 + 3. What is n*w(v) + u*y(v)?
-v**2 - v
Let k(z) = -9*z - 18. Let n(o) = -1. Give -k(u) + 18*n(u).
9*u
Let i(g) = 2*g**2 + 17*g. Let b(n) = 2*n**2 + 16*n. What is -6*b(a) + 5*i(a)?
-2*a**2 - 11*a
Let l(n) = n**2 + n - 1. Let o be 10/(-4)*(-8)/10. Let w(k) = -k. Let c(m) = -2*m - 2*m + 2*m. Let y(i) = o*c(i) - 6*w(i). Give l(t) - y(t).
t**2 - t - 1
Let d(k) = -5*k**3 - 5*k**2 + 11*k. Let g = -3 - -5. Let n(m) = -m**3 - m**2 + 2*m. Let w = -332 - -321. What is g*d(a) + w*n(a)?
a**3 + a**2
Let h(j) = 3*j**2 - 7*j - 4. Let l(z) = -3*z**2 + 8*z + 3. Determine 3*h(d) + 4*l(d).
-3*d**2 + 11*d
Let h = -449 - -444. Let g(l) be the third derivative of -7*l**6/120 - l**4/8 - l**3/2 + l**2. Let u(x) = 3*x**3 + x + 1. Calculate h*u(t) - 2*g(t).
-t**3 + t + 1
Let s(c) = -2*c - 5. Let x(u) = 5*u + 14. Let k(o) = -o**3 + 3*o**2 + 3*o - 4. Let t be k(4). Let l(b) = -2*b + 3. Let v be l(3). Calculate t*s(p) + v*x(p).
p - 2
Let n(p) = p + 5. Let c be (-5)/90*-6 + 16/(-3). Let b(x) = 2*x + 8. Suppose 44 = 3*j - 5*h, 4*j + 3*h - 36 = 4*h. Determine c*b(s) + j*n(s).
-2*s
Let y(m) = -14*m + 6. Suppose -x - 3*j = -5*x - 41, -x = 5*j + 16. Let h(r) = 9*r - r - 2 - 3*r. Determine x*h(g) - 4*y(g).
g - 2
Let c(i) = -6*i - 1. Let m(u) = -6*u - 1. Give -6*c(z) + 5*m(z).
6*z + 1
Let c(o) be the third derivative of -o**6/120 - o**4/24 - o**3/6 - 9*o**2. Let y(d) = -5*d**3 - d**2 - 3*d - 3. Determine 3*c(h) - y(h).
2*h**3 + h**2
Let w(q) = 3 + 6*q - 3*q - 3*q + q. Let v(n) = n + 6. What is -3*v(h) + 5*w(h)?
2*h - 3
Let t(q) = 4*q + 1. Suppose -3*z - 3*p - 10 = 2*p, -4*z + 4*p - 24 = 0. Let a(s) = -7*s - 1. Determine z*t(u) - 3*a(u).
u - 2
Let w(t) = 1. Let o(b) = -b + 3. Let u(l) = -l**2 - 4*l + 1. Let n be u(-3). Suppose -4*a - n*g - 3 = 1, 3*g + 10 = 4*a. Calculate a*o(j) - 3*w(j).
-j
Let i(p) = 4*p - 1. Let g(o) = 7*o - 2. Suppose -24 = -6*d + 14*d. Give d*g(u) + 5*i(u).
-u + 1
Let n(o) = 21*o**2. Let f(s) = s**2. Determine -6*f(j) + n(j).
15*j**2
Suppose -3*s = 2*r - 6*s, -4*s = 3*r - 17. Let z(v) = v**3 - 5*v - 4. Let b(f) = f**3 - 4*f - 4. Calculate r*b(c) - 2*z(c).
c**3 - 2*c - 4
Let s(k) = 46*k**2. Let h(x) = 231*x**2. Give 3*h(f) - 14*s(f).
49*f**2
Let r(g) = -7*g**3 + 2*g**2. Let k(z) = -z**3. Determine -6*k(f) + r(f).
-f**3 + 2*f**2
Let w(z) = 9*z**3 - 4*z**2 - 5. Let a(b) = -8*b**3 + 3*b**2 + 4. What is -5*a(i) - 4*w(i)?
4*i**3 + i**2
Let u(f) = -8*f**3 + f**2 - 6*f + 7. Let n be (13 - 1)*(-4)/(-8). Suppose t = -5 - n. Let m(o) = -15*o**3 + 2*o**2 - 11*o + 13. Determine t*u(a) + 6*m(a).
-2*a**3 + a**2 + 1
Let u(d) = -d + 14. Let s(t) = -t - 20. Let i be s(-25). Let f(x) = x - 9. Give i*u(r) + 8*f(r).
3*r - 2
Let a(x) = -2*x**3 - 5*x + 5. Suppose -4*q + 19 + 1 = 2*v, q - 3 = 0. Let i(w) = -2*w**3 - 4*w + 4. Let u = -7 - -2. Calculate u*i(f) + v*a(f).
2*f**3
Let z(p) = -5*p**2 + 9*p - 88. Let u(c) = -3*c**2 + 5*c - 44. Calculate -7*u(a) + 4*z(a).
a**2 + a - 44
Let d(p) = -p**3 - 2*p. Suppose 6*o + 11 = -1. Let x(k) = -2*k**3 - 3*k. Determine o*x(i) + 3*d(i).
i**3
Let i(k) = 6*k**2 + 5*k - 2. Suppose -5*q - 17 = -s, 4*q = -0*q - 16. Let d(t) = -5*t**2 - 4*t + 2. Determine s*i(r) - 4*d(r).
2*r**2 + r - 2
Let u(k) = 21*k**2 + 9*k. Let m(z) = 5*z**2 + 2*z. Let w(g) = g**3 - 10*g**2 + 2*g - 7. Let s be w(10). Let l = s + -4. Determine l*m(a) - 2*u(a).
3*a**2
Let s(b) = b**2 - 6*b - 7. Let z be s(6). Let m(a) = a**2 + 0*a**2 - 2*a + 0*a**2. Let t(c) = -10*c - c**2 + 7*c + 2*c**2. Determine z*m(p) + 5*t(p).
-2*p**2 - p
Let k(y) = y - 1. Let w(p) = -p - 2*p + 5*p - 3 + 0*p. Let o be (-4)/2 + 2/2. Suppose -5*v - 19 = m, 5*m + 7 = -v - 2*v. Give m*k(q) + o*w(q).
-q + 2
Suppose 18*t - 15*t = 9. Let l(z) = -z
|
{
"pile_set_name": "DM Mathematics"
}
|
remainder when 25 is divided by o?
12
Let m(g) = -3. Let x(b) = b + 7. Let l(p) = 7*m(p) + 3*x(p). Let w be l(-1). Calculate the remainder when 25 is divided by (-38)/w + 3/9.
12
Suppose 0 = -0*p + 2*p - 6. Let l be ((-2)/p)/(3/54). Calculate the remainder when (-2)/(-3) - 88/l is divided by 3.
2
Let f = -11 + 13. Suppose 2*l + 4*y = 40, 0 = -f*y - 2*y + 12. Let g = 42 + -16. What is the remainder when g is divided by l?
12
Let q(g) = g + 11. Let m be q(-9). Suppose -m*s = 2*s - 4. Calculate the remainder when 2 is divided by s.
0
What is the remainder when 84 is divided by 33 + (-3 - -7)*-1?
26
Let b(n) = 6*n - 7. Suppose -r = 3*r - 108. Let d = 39 - r. What is the remainder when b(5) is divided by d?
11
What is the remainder when 9 is divided by ((-6)/(-2))/(6/4)?
1
Suppose -4*t = -s + 7 - 40, 2*s + 30 = 4*t. What is the remainder when 62 is divided by t?
8
Suppose -5*h - 6 = -81. Calculate the remainder when 72 is divided by h.
12
Suppose 113 - 15 = 7*g. Suppose -u + 5 + 7 = -2*m, 0 = -5*u + m + 33. Let n = u + 2. Calculate the remainder when g is divided by n.
6
Let q(t) = -t + 14. Let z = 14 + -7. What is the remainder when q(z) is divided by 2?
1
Let c = -5 - -6. Let i be c + 4 - (-2 + 4). Suppose -g - l = -6*l + 3, -3*l - 15 = -i*g. What is the remainder when 19 is divided by g?
5
Let b(q) = q**2 - 3*q + 9. Calculate the remainder when 33 is divided by b(0).
6
Let f(g) = -g**3 + 19*g**2 + g - 8. Calculate the remainder when f(19) is divided by 7.
4
Let g = 196 - 128. Let i = 32 + -9. Calculate the remainder when g is divided by i.
22
Suppose 4*o + 0*r - 49 = -3*r, 4*o - 46 = -2*r. Let b(l) = -2*l**3 - 5*l**2 + 2*l - 3. What is the remainder when b(-4) is divided by o?
7
Let r(l) = -l**3 + 5*l**2 + 7*l - 1. Let t(u) = -u**3 + 5*u**2 + 8*u + 7. What is the remainder when t(6) is divided by r(6)?
4
Suppose 3*m - 60 = m. Suppose 0 = -4*s + 7*s - m. Calculate the remainder when 39 is divided by s.
9
Suppose 2*o - 27 = -3*t + 152, -t + 63 = 4*o. Let f be 10*3/((-6)/(-4)). What is the remainder when t is divided by 2/(2 - 38/f)?
19
Let c(m) = 8*m**2 + 30*m + 6. Let n = -9 + 14. Calculate the remainder when c(-4) is divided by n.
4
Let j(k) = k**3 + 9*k**2 + 6*k + 3. Let u be j(-8). Let d = u + -2. Calculate the remainder when d is divided by 6.
5
Suppose -p + 4*a - 18 = 0, 3*a - 23 = -4*p - 0*p. Suppose -r + 9 = p. Calculate the remainder when 13 is divided by r.
6
Suppose 4*u + 0*w + w - 131 = 0, -2*u + 5*w = -49. What is the remainder when 94 is divided by u?
30
Let i = -3 + 29. Calculate the remainder when 49 is divided by i.
23
Let w(g) = 2*g - 2. Let y be w(4). Suppose -o + y*o = v + 173, -4*o = -5*v - 130. What is the remainder when o is divided by 12?
11
Let d(c) = 15*c**2 + 2*c + 1. Calculate the remainder when 25 is divided by d(-1).
11
Let j = -46 + 72. Calculate the remainder when 127 is divided by j.
23
Let f be -1 + 6*2/4. Let k(z) = 70*z**2 + 4*z - 3. Let h be k(f). Suppose -h = -i - 4*i. Calculate the remainder when i is divided by 15.
12
Suppose 4 = r - 5. Calculate the remainder when 80 is divided by r.
8
Let w(q) = -q**3 - 3*q**2 + 4*q + 3. Let p be w(-4). Suppose -p*l = -0*l - 75. Calculate the remainder when l is divided by 13.
12
Let z(t) = t**2 - 5*t + 4. Let y = -4 - -9. Let d = y + 1. What is the remainder when d is divided by z(5)?
2
Suppose 8 = -2*p + 3*p. What is the remainder when 47 is divided by (-7)/((-21)/6)*p?
15
Suppose -6*g + 277 = -77. Calculate the remainder when g is divided by 10.
9
Suppose 5*d - 348 = l, d - 2*l - 27 = 48. Calculate the remainder when d is divided by 18.
15
Let q(s) = -2*s + 1. Let j be q(-2). Suppose 7 = j*k - 8. What is the remainder when 11 is divided by k?
2
Let p(o) = -o**3 + 4*o**2 - 2. Let s be p(4). Let k(t) = 1 + 8 - 15*t - 7. Calculate the remainder when k(s) is divided by 11.
10
Let j = 2 + 0. Suppose -3*o + j*b + 51 = 5*b, 130 = 5*o - 4*b. Calculate the remainder when 65 is divided by o.
21
Suppose z = 5*h - 102, -z = -3*h + 2*z + 54. Suppose 5*k = 34 + h. Calculate the remainder when 21 is divided by k.
10
Let g be (15 - 8/4)*-1. Let r = -6 - g. What is the remainder when 17 is divided by r?
3
What is the remainder when 22 is divided by (-1)/4 - (-99)/12?
6
Let v(c) = 2 - 2 + 468*c - 463*c. Suppose 0 = p - 0*p - 2. What is the remainder when v(p) is divided by 6?
4
Suppose 0 = -2*f + 2, 3*d + 7 - 20 = 2*f. Let c = 0 + 3. Suppose d*w + c = 43. Calculate the remainder when w is divided by 3.
2
Suppose 4*y = j - 26, -3*j = -4*y + y - 78. What is the remainder when j is divided by 10?
6
Suppose -5*f = -5*z + 1355, 3 = -2*f + 5. Suppose 0*j = j + 5*g - 93, 4*j - z = 5*g. Let c = -48 + j. What is the remainder when c is divided by 14?
11
Suppose 5*w - 13 + 243 = 0. Let m = 76 + w. What is the remainder when m is divided by 11?
8
Let y = 122 - 113. Calculate the remainder when y is divided by 5.
4
Let i(t) = -t**3 - t + 8. Let b be i(0). Let k = 68 - b. Let q = k - 13. Calculate the remainder when q is divided by 16.
15
Suppose 5 = y - 5. What is the remainder when 58 is divided by y?
8
Let c(m) be the second derivative of m**4/6 - m**3/6 + 2*m. Suppose 9 = 3*n + 3. What is the remainder when c(-1) is divided by n?
1
Suppose 0 = -f - f - 2*m + 22, -10 = 5*m. Suppose 2*l - 10 = -0. What is the remainder when f is divided by l?
3
Suppose 5*i + 34 - 149 = 0. Calculate the remainder when 43 is divided by i.
20
Let k = 2 + 3. Let d(g) be the third derivative of 5*g**4/12 - g**3 - 2*g**2. Calculate the remainder when d(k) is divided by 15.
14
Let k = 30 - -1. What is the remainder when k is divided by 8?
7
Let c(b) = b**2 - 3*b - 34. Calculate the remainder when (-8)/10*290/(-4) is divided by c(-6).
18
Let k(h) = -h**2 - 9*h - 7. Suppose 4*l = -5*j - 19, 3*l + 14 = -4*j - 0*j. Calculate the remainder when 32 is divided by k(l).
10
Suppose 0 = -4*h + 2*h + 4. Suppose -p - h*p = -15. Suppose -5*s - 3*j + 19 = 0, 5*j - 5 = 2*s + 3*s. What is the remainder when p is divided by s?
1
Suppose -53 = -5*u + 27. Calculate the remainder when 2 is divided by 1/(-4) - (-20)/u.
0
Let a(p) = -p + 9. Suppose 2*g - 85 = -3*g. What is the remainder when g is divided by a(3)?
5
Let i(t) = -t**2 - 9*t + 16. Let o be i(-11). What is the remainder when 8 is divided by -2*(-3)/o*-5?
3
Let m(y) = -6*y - 7. Let c = -2 + -3. Let v be m(c). Let t = 33 - v. What is the remainder when t is divided by 4?
2
Let g(l) = -l**3 + 4*l**2 + 4*l - 6. Let h(f) = f + 4. Calculate the remainder when g(4) is divided by h(0).
2
Let p = 125 + -278. Let l = -32 - p. Suppose 4*v + 9 - l = 0. Calculate the remainder when v is divided by 10.
8
Suppose 2*g - c = 25, -97 + 30 = -5*g + c. Calculate the remainder when 25 is divided by g.
11
Suppose 56 = 2*x + 4. Calculate the remainder when 99 + (-1 + 4)/((-3)/(-2)) is divided by x.
23
Suppose 0 = 2*h - 27 - 199. Let w = h - 48. What is the remainder when w is divided by 33?
32
Suppose 0 = -5*f + f. Suppose -4*z + 3*y - 23 + 63 = f, 2*y + 1 = -z. Calculate the remainder when z is divided by 3.
1
Calculate the remainder when 56/(-10)*10/(-2) is divided by 10.
8
Suppose -3 = 4*q - 31. Let b(u) = 2*u - 8. Let p be b(q). Let d = p - -23. Calculate the remainder when d is divided by 10.
9
Suppose 5 = -2*n - 9. Let a(l) = -l**3 - 7*l**2 - 5*l - 10. Calculate the remainder when 48 is divided by a(n).
23
Let b = -118 - -139. Calculate the remainder when 143 is divided by b.
17
Suppose 0*f = 2*f - 2. Calculate the remainder when 24 + (0 - -1)*f is divided by 13.
12
Suppose -3*p + u + 161 = 0, -2*u = 6*p - 3*p - 173. What is the remainder when p is divided by 15?
10
Let a(t) = -t + 22. Calculate the remainder when a(12) is divided by 2.
0
Let z(u) = -69*u - 6. Calculate the remainder when z(-1) is divided by 17.
12
Suppose -2*k - 12 = k. Let r = -5 - k. What is the remainder when 67/6 + r/6 is divided by 4?
3
Let n(v) = -v + 11. Let b(r) = -r + 16. Let s be b(11). What is the remainder when 21 is divided by n(s)?
3
Let y(l) = 3*l**2 - 4*l + 2. Suppose 2*j + 0*j - 4 = 0. What is the remainder when 22 is divided by y(j)?
4
Let n(w) = -7*w + 8. Let i be n(-8). Let z = 99 - i. Calculate the remainder when z is divided by 17 + -1 + (-4)/(-2).
17
Let s be (-20)/(-9) - 6/27. Suppose 4*y - 85 = -x, 0*
|
{
"pile_set_name": "DM Mathematics"
}
|
1 a factor of (47 - 53) + j + 892?
False
Let k = -219 + 212. Is (-6 - -6)/k + 50 even?
True
Let c = -20719 - -23129. Is 5 a factor of c?
True
Suppose 43 = z - 2. Suppose -4*n - w + 404 = 0, -n - z = 2*w - 139. Suppose c - 2*c = -n. Is c a multiple of 16?
False
Suppose -7*p + 12*p = -2630. Let g = 814 + p. Does 48 divide g?
True
Let s(y) = -4*y - 37. Let m be s(-10). Suppose -m*x - 2*x = -1170. Does 15 divide x?
False
Suppose -5 = -5*g, 2*g - 3*g - 121547 = -7*d. Is 120 a factor of d?
False
Suppose -4*o = 2*m - 4024, 2*m - 157*o - 4030 = -155*o. Is m a multiple of 19?
True
Let g(p) = -79*p + 1051. Is 37 a factor of g(-34)?
True
Let x = 6541 + -5281. Does 6 divide x?
True
Is -1 - 1 - (21 - (14 - -3524)) a multiple of 29?
False
Let p(g) = 2*g**2 - 31*g + 11. Let h be p(15). Is 19 a factor of -679*1*h/14?
False
Suppose -36*t + 34*t = 0. Suppose 0*c - 3*c + 6 = t, 0 = -f - 3*c. Let q = f - -110. Is 13 a factor of q?
True
Let y = 8114 + -4047. Is y a multiple of 35?
False
Suppose p - 3*p + 5*r = -17, -61 = -4*p + r. Let u = p - 36. Is (u/12)/((-6)/45)*2 a multiple of 2?
False
Let t = -13868 - -25550. Is 28 a factor of t?
False
Let k(c) = 7*c + 61. Let m be k(-9). Is 12 a factor of m - (46/(-3) - 24/(-18))?
True
Let y(t) = t**2 - 49*t + 59. Let v be y(37). Let f = v + 710. Is 13 a factor of f?
True
Suppose -2*g - 63 = 5*v - 7, v + 4*g + 22 = 0. Suppose 25*j - 34*j = -522. Let h = v + j. Is h a multiple of 24?
True
Let b = 704 - -2050. Suppose -388*m - b = -391*m. Is m a multiple of 51?
True
Suppose -3*x + 843 = -330. Let l = x + -251. Is l a multiple of 14?
True
Suppose -2*a + 3*u + 13 = 2*u, u - 15 = -5*a. Suppose -4*v - 4*q - q + 36 = 0, a*q - 28 = -3*v. Let c(n) = -n**3 + 5*n**2 + 5*n - 1. Does 7 divide c(v)?
True
Let t(u) = -2*u**3 + 82*u**2 + 60*u - 104. Does 32 divide t(39)?
True
Let m = -560 - -846. Is 72069/39 + 22/m a multiple of 84?
True
Let r = -17205 + 25746. Does 34 divide r/36 - 3/(-4)?
True
Let m be 80/60 - 16/3. Let k(t) = -9*t**3 + 5*t**2 + 10*t + 11. Is 13 a factor of k(m)?
False
Let x = -3092 - -5038. Does 3 divide x?
False
Let o = -57 + 57. Suppose o = 8*a + 11 - 3. Does 4 divide (-3)/(a + (-60)/(-65))?
False
Let i = 58267 - 40077. Is i a multiple of 214?
True
Suppose -5*w + 4*r = -1877, -119*w + 731 = -117*w + 5*r. Is w a multiple of 7?
False
Suppose 2*c - 33 = 3*a, -4*c + 16 = 4*a - 0. Suppose 2*k + 4*d = c + 25, 5*k - 113 = -3*d. Suppose 3*g = -n + k, 2*n - 3*g = -0*n + 5. Is n a multiple of 10?
True
Suppose 3*t - 107808 = -2*t + i, -i = -t + 21568. Does 35 divide t?
True
Let f be ((-4)/(-10))/(436/40 - 11). Is 6 a factor of ((-822)/(-24) + f)/(1/12)?
False
Does 80 divide (-230)/(-3)*22110/275 + -13?
False
Suppose 5*y - 209095 = -5*n, 154*n = y + 150*n - 41824. Does 205 divide y?
True
Does 42 divide 420/1470 - (-28516)/7?
True
Suppose -17*v = 2*v - 71630. Is v a multiple of 29?
True
Let q be (6 + 10)*(-20 - -1). Let x = q + 704. Does 40 divide x?
True
Suppose -211*s + 68*s + 69804 = -2336886. Is s a multiple of 55?
True
Let f = 6260 - 2699. Is f a multiple of 28?
False
Let q be ((-21)/(147/(-1400)))/(-1). Let o = 386 + q. Is 62 a factor of o?
True
Does 88 divide (0 - (-4)/20 - (-155364)/55) + 3?
False
Suppose 7*z - 2*k - 15 = 4*z, 0 = 4*z - 3*k - 20. Suppose -g = -3*t - 335, 3*t - 2621 + 874 = -z*g. Is g a multiple of 29?
False
Let z = 27 + -21. Let s(u) = u**3 - 7*u**2 + 7*u - 6. Let r be s(z). Suppose r = -q + 51 + 18. Is q a multiple of 13?
False
Suppose 2*a - 283 = 5*y, 0 = 5*a + 5 - 0. Let z = 82 + y. Is 5 a factor of z?
True
Let v(c) be the second derivative of 5*c**4/12 - c**3/3 + c**2 + 13*c. Let h be v(3). Let m = h + 49. Is 30 a factor of m?
True
Suppose -64*t + 46277 = -118*t + 61*t. Does 7 divide t?
False
Let m(i) = 6 - 161*i**3 - 4*i - 5*i**2 + 0*i + 160*i**3. Let y be m(-4). Does 7 divide (4/y)/(((-78)/(-216))/13)?
False
Does 10 divide 1/(2/6) - (-3072 + -8)?
False
Let o be (-3 - (-9 - -3))/(3/(-46)). Let w be o/(-2)*60/(-15). Let a = w + 129. Is 6 a factor of a?
False
Let t(l) = -l**2 - 7*l - 269. Let j be t(0). Let n = j - -599. Is 10 a factor of n?
True
Let o(w) = -w**3 + w**2 + w - 1. Suppose q + 30 = 3*q. Let l(a) = a**2 - 15*a - 3. Let s be l(q). Is o(s) a multiple of 16?
True
Let d(h) = h - 10 - 17 + 35 - 30*h. Suppose 15*o + 20 = 10*o. Is d(o) a multiple of 19?
False
Let m(p) = 2*p**3 - p**2 + p + 1. Let c be (-2)/(3/((-9)/6)). Let j be m(c). Suppose 3*l - j*q + 4*q = 248, l - 92 = 2*q. Is l a multiple of 21?
True
Suppose 313*q - 319*q + 36 = 0. Suppose 2*b - 612 = -2*r, -q*r - 2*b = -9*r + 893. Does 10 divide r?
False
Let l(w) = -56*w - 15. Let r be l(-2). Let h = r + -62. Is h a multiple of 35?
True
Suppose 68 = -8*g + 20. Suppose 0*r + 4*i = -r + 14, -3*i = 3*r - 6. Is 33 a factor of (4 + r + (-27)/g)*18?
False
Suppose 13 = -22*w - 9. Let a(l) be the first derivative of -39*l**4/2 + l**3/3 + 5*l**2/2 + 4*l + 13. Is 13 a factor of a(w)?
True
Let n = 162 + -178. Does 17 divide 2 - (-4)/(n/(-196))?
True
Let h = -33067 - -46798. Is 59 a factor of h?
False
Let q(v) = v - 17. Let f be q(22). Suppose 37 = f*y - 18. Let m = y + 28. Is 13 a factor of m?
True
Let m(i) = 3*i**2 - 9*i + 3. Suppose 40 = 6*h - 26*h. Is m(h) even?
False
Suppose 2*g + 3*a - 5 = 0, -3*g - 12 + 19 = 5*a. Suppose -g*h = -2*y + 4230, 281 + 1828 = y - 4*h. Does 21 divide y?
True
Let n = -8395 - -13036. Is 16 a factor of n?
False
Suppose i - 3*i + 3*r = -1, 0 = 2*i + 3*r - 7. Let q(u) = -12*u - 5. Let j be q(i). Let g = j - -33. Is g a multiple of 3?
False
Let c(p) = -175*p - 2322. Is 42 a factor of c(-44)?
False
Let j be ((-4038)/(-12) - 0) + 3/6. Let b = j + -177. Is b a multiple of 20?
True
Is 5 + (15555 - (3 - 16)) a multiple of 134?
False
Let f = -14904 - -21168. Is f a multiple of 116?
True
Suppose 45*p - 43335 - 52020 = 0. Does 10 divide p?
False
Let m(c) = 1784*c**2 - 157*c - 482. Is m(-3) a multiple of 26?
False
Let w be (16/144)/((-2)/6)*0. Suppose w = 38*x - 28*x - 640. Does 16 divide x?
True
Let a(j) be the third derivative of j**4 - 57*j**3/2 - 186*j**2. Is 9 a factor of a(12)?
True
Let d = -3712 - -3872. Is d a multiple of 5?
True
Let t(q) = 553*q**2 + 26*q - 33. Does 116 divide t(6)?
False
Let i = 2253 + -1020. Let a = -8 + i. Suppose 5*c + 2*c = a. Does 19 divide c?
False
Let l = 90014 + -61124. Does 24 divide l?
False
Suppose 4*o - 19 = 9. Suppose -17 - 25 = o*k. Does 7 divide 4/6*3/k*-117?
False
Let x(i) be the first derivative of 17*i**3/3 - 81. Is x(-2) a multiple of 2?
True
Let u be (-6)/(-8)*(364/21 - 12). Suppose -741 = u*f - 3173. Is 38 a factor of f?
True
Suppose -4*n - 5*x + 26778 = -47812, 0 = -2*n + x + 37274. Is n a multiple of 20?
True
Let y(i) = -i**3 + 27*i**2 + 65*i + 33. Let r be y(29). Let a = -94 + r. Does 3 divide a?
False
Let d = -4339 - -6092. Let g = -934 + d. Is 12 a factor of g/12 + 4/(-16)?
False
Suppose 3*r + 3*f = 4983, 1284*r = 1287*r + 4*f - 4978. Is r a multiple of 6?
False
Suppose 10*d - 7223040 = -72*d - 83*d. Is d a multiple of 12?
True
Let m(l) = 14*l**2 + 8*l - 24. Let u be m(-11). Let d = 4237 - u. Suppose 4*a - d = -11*a. Is 24 a factor of a?
False
Suppose 2*h - 656 - 3998 = 0. Is h a multiple of 14?
False
Let v = -85197 - -119941. Is v a multiple of 86?
True
Suppose -26*v + 25900 = 24*v. Let i = 2023 - v. Is i a multiple of 22?
False
Let q(t) = -5*t**3 + 12*t**2 - 49*t - 63. Let b(w) = 6*w**3 - 11*w**2 + 50*w + 63. Let j(n) = 6*b(n) + 7*q(n). Is 18 a factor of j(-19)?
False
Suppose -9*g + 39*g = 582781 + 331559. Is g a multiple of 49?
True
Let j(x) = 4*x**2 - 51*x - 62. Let h be j(36). Suppose 83*v - h = 21*v. Does 5 divide v?
False
Suppose -x + 4 = 2*b - 2, 3*x = 4*b - 12. Suppose -28 = -b*w + w. Is 7 a factor of w?
True
Let h = 11 - 11. Let n be (-4)/(0 + 1) - h. Let i(o) = -10*o + 14. Is 6 a factor of i(n)?
True
Let b = 83 + -44. Let u = b + 41. Is u a multiple of 8?
True
Let a(u) be the third derivative of u**6/180 + u**5/20 + u**4/8 - u**3/3 + 30*u**2. Let s(f) be the second derivative of a(f). Does 3 divide s(6)?
True
Let u(f) = 13*f**2 - 66*f - 18. Is 18 a factor of u(-12)?
True
Let d = -25919 - -42103. Does 23 divide 2/11 + d/44?
True
Let s = -299 + 143. Does 5 divide (s/(-30))/((-1)/(-25))?
True
Does 54 divide -5840*(2/(-7))/((-120)/(-210))?
False
Let g(f) = -3*f**3 + 5*f*
|
{
"pile_set_name": "DM Mathematics"
}
|
for r.
-2
Let r be (-2)/(-4) + 15/10. Let l be (4 - (-9)/(-3))*r. Solve -z + 0*z - l = 0 for z.
-2
Let o(h) be the first derivative of 3*h**2/2 - 12*h - 8. Let p be o(5). Let y(x) = 2*x**2 + 3*x + 3. Let n be y(-3). Solve -6*r + p*r - n = 0 for r.
-4
Let d = 34 - 30. Solve 6 + 14 = -d*o for o.
-5
Let k = -1 + 3. Solve k*t = -3 - 1 for t.
-2
Suppose -5*l - 3*i = -7, -5*l + 3*i + 14 - 1 = 0. Solve 6*f - l*f + 16 = 0 for f.
-4
Suppose -3*f + 12 + 6 = 0. Solve -5*r + f - 1 = 0 for r.
1
Suppose -3*z - x - 3 = -15, -3*x = 9. Solve z = -2*y + 3 for y.
-1
Suppose 89*o = 90*o - 1. Solve -r = -o - 2 for r.
3
Let b be 84/(-48)*(-7 - 1). Solve -39 = 5*f - b for f.
-5
Let g(s) = -2*s**2 + 10*s + 6. Let n be g(5). Solve 9 = -n*p + 3*p for p.
-3
Suppose 3*y - 10 = 23. Let r = -16 + y. Let m = -5 - r. Solve m = 5*f - 5 - 5 for f.
2
Let p = 14 - 6. Let y be 6 - 6 - p/(-2). Solve -2*s + 4 = -y*s for s.
-2
Let a(m) = -m**2 - 4*m - 3. Suppose -3*y = -2*y + 3*o + 12, -4*o = 12. Let w be a(y). Solve 2*c - 5*c = w for c.
0
Suppose 0 = 2*l + 3*z - 15, -5*l = -z - 12 - 0. Solve 6 + l = -3*k for k.
-3
Suppose 3 = 2*u + 3*a + 5, 13 = 5*u + 3*a. Suppose 0 = 3*y + 2*f - 13, y - 5*y = f - 14. Solve -4*q + y*q = u for q.
-5
Let o be (0 + 0)*(-2 - -3)/1. Solve -2*b - 6 = -o*b for b.
-3
Suppose -4*m - 5 = -5*m. Let f(s) = s**2 + 6*s - 9. Let u be f(-7). Let i = m + u. Solve -3*p + 0 + i = 0 for p.
1
Suppose 34 = 2*c + 5*a, 2*a - 22 = -2*c - 0*c. Let q = c - 4. Suppose -z = q*b + 2*z - 30, 2*b - 5*z - 13 = 0. Solve 3*u = -3 - b for u.
-4
Suppose 0 = -0*j + j - 5. Solve -6*x = -x + j for x.
-1
Let o be 6 - (-7 - -5 - -4). Solve -o*x + 10 = -2*x for x.
5
Suppose 4*h = -2*d + 18, -3*d + 18 = 3*h - 0*h. Let m(r) = -7*r + 5*r**3 + 1 + 5 - 6*r**h + 7*r**2. Let y be m(6). Solve y = -7*n + 3*n for n.
0
Let a = -183 - -186. Solve 0 = -a*k + 4 - 7 for k.
-1
Let y = -47 - -47. Solve -2*v + 5*v - 3 = y for v.
1
Let v(i) = -i**3 - i**2 + 5*i + 5. Let s be v(-3). Solve 3*p = s*p + 5 for p.
-1
Let x(d) = -d**2 + 1. Let n be x(1). Let w be (1/(-3))/(1/(-9)). Let k(i) = -i**2 - 7*i - 7. Let q be k(-5). Solve n*h + q = w*h for h.
1
Suppose -5*u + 60 = -u. Let f be -2*3/(-6)*3. Suppose 0 = -5*w - 0*w - 25, u = 3*v + f*w. Solve -p - 4*p = v for p.
-2
Let c(f) be the second derivative of f**4/12 - f**2 + 2*f. Let w be c(5). Suppose -2*g + 5*i + 0 = -w, -29 = -5*g + 3*i. Solve g + 0 = z for z.
4
Let k be (4/6)/((-1)/(-3)). Let g be 0 + 1 + (10 - 9). Let m = k - g. Solve m = -i + 1 - 0 for i.
1
Let k = 2 - -1. Solve 0 = -2*l + k*l for l.
0
Suppose 3*c = 5*c - 4. Suppose 3*h = 15 + 15. Suppose -3*a + h = -3*p - 8, 3*a - 22 = 4*p. Solve -c*l = a*l + 16 for l.
-4
Let x(j) = j - 1. Let s be x(4). Let w = -7 - -9. Suppose 12 = q - 5*y, 7*q = 4*q - w*y + 2. Solve s*o = q*o - 3 for o.
-3
Let w(x) = -2*x**3 + 4*x**2 - 2*x. Suppose -3*s = -3*r + 2*s - 19, -2*s + 4 = -3*r. Let b be w(r). Let v be (-8)/(2 + b)*5. Solve -6*n - v = -2*n for n.
-5
Let g(k) = -k**2 + 5*k - 1. Let u be g(4). Let r be (-34)/170 + (-2)/(-10) + 12. Solve -v - u*v = r for v.
-3
Let n(w) = 5*w - 15. Let l be n(5). Solve -l = 5*g + 5 for g.
-3
Let a be (-2)/(-12) + 2/(-12). Suppose h - 4*h + 42 = a. Solve -h + 4 = -2*v for v.
5
Let n = -8 - -12. Let f be (1/(-1))/((-3)/18). Suppose u + 10 = f*u. Solve u*h = n + 6 for h.
5
Let t = -92 - -96. Solve -u - 1 = -t for u.
3
Suppose -3*s + r = -3, -2*s - 3*s + 2*r = -6. Let q = s - -2. Solve 2*h - q = 2 for h.
2
Suppose 2*g = g + 10. Solve -h + g = h for h.
5
Let c(p) = p**3 + 2*p**2 + p + 3. Let f be c(-3). Let w be (-3)/(-6) - f/2. Solve 3*a - 10 = w for a.
5
Let n(i) = 14*i - 1. Suppose -2 + 0 = 2*k. Let b be n(k). Let x = b + 25. Solve -4*f + 10 = -x for f.
5
Let l be (-3 + 8)*(-2)/5. Let u be (-24)/(-9)*(-3)/l. Solve u*j + 12 = j for j.
-4
Let r(l) be the first derivative of -l**3/3 + 4*l**2 + 1. Let y be r(8). Solve y*k = -k + 4 for k.
4
Let z(f) be the first derivative of -f**2/2 + 9*f + 1. Let c be z(-7). Solve c + 0 = 4*i for i.
4
Let t = -6 - -10. Let h(i) = 2*i - 6. Let w be h(6). Let a be (t/3)/(2/w). Solve -a*r = r - 25 for r.
5
Suppose 20 = 4*j - 4*h, j - 3*h + 0*h = 11. Let b = 8 - 3. Solve 3 = j*l - b*l for l.
-1
Let r(x) = x**2 + 4*x + 3. Let q be r(-4). Suppose s = -0*s + q. Let p be 2 + (-1 + 7 - -1). Solve -3*d + s = -p for d.
4
Let o = -32 + 32. Solve o*z = -4*z for z.
0
Let c be (-21)/(-35) + 44/10. Let p = 0 + c. Solve 0 = -4*v + 11 + p for v.
4
Let p(g) = g**2 - 3*g. Let a be p(5). Suppose 0 = 2*o - a - 2. Suppose -3*x = -0*x - o. Solve -4 = -u - x for u.
2
Let a = -10 + 15. Let y(n) = 5*n**2 - 12*n - 8. Let l(c) = 4*c**2 - 11*c - 7. Let u(o) = a*y(o) - 6*l(o). Let s be u(-7). Solve -3*j = -6*j - s for j.
-3
Let b = 6 + -3. Suppose 5 = -2*s + b*s. Suppose 5*d + s = 80. Solve -d = -q - 4*q for q.
3
Suppose -8 = 2*w + 4*o, o - 3*o = 2*w. Solve c - 3 = -w for c.
-1
Let v(i) = 2*i - 21. Let f be v(12). Solve y - f*y + 10 = 0 for y.
5
Suppose 21 = 4*y + 5. Solve -j - j = -y for j.
2
Suppose -4*f + 0*f - 16 = 0. Let t = f + 8. Solve 16 + t = -4*k for k.
-5
Suppose 0 = b - 6 - 0. Let r be (8/(-6))/((-2)/b). Suppose -r*u = -t - 14, -3*u + 5*u = -4*t - 2. Solve 0 = -0*p - p - u for p.
-3
Let j(a) = 3*a**2 - 5*a + 2. Let l be j(4). Suppose -2*t - t = -x - l, x + 25 = 2*t. Let u be -3*-4*x/(-9). Solve u = 4*f + f for f.
4
Let g(s) = s**3 - 4*s**2 + s - 4. Suppose 4*t - 21 = -5. Let i be g(t). Solve -16 = -i*w - 4*w for w.
4
Suppose 5*l + 17 = -f + 3*f, f - 13 = l. Let t be (0 + 6)/(2/5). Let q = -11 + t. Solve -q*p = -0*p - f for p.
4
Let k(n) = -n - 3. Let d be k(-7). Let l = -101 + 101. Solve -2*f + l + d = 0 for f.
2
Let t(i) = i**2 - i + 1. Let r be t(2). Suppose -r = x - 13. Solve 9*k - 4*k = -x for k.
-2
Let v = -9 - -5. Let k(l) = l**3 + 3*l**2 - 4*l + 3. Let i be k(v). Solve -3 = 3*m + i for m.
-2
Let c(t) = -t**2 + 4*t - 2. Let d be c(2). Suppose 0 = -4*h + 2*h - 3*p + 17, -2*p + 6 = 0. Suppose 3*u - 47 = -17. Solve d*r - h*r = -u for r.
5
Let t be -12*((-2 - -1) + 0). Suppose z = -3*z - 4*y - 16, 20 = -3*z - 5*y. Solve -3*f + z*f = -t for f.
4
Let z(o) = o**3 - o**2 + o - 2. Let b be z(2). Suppose 16 + 4 = -b*p. Let r = 7 + p. Solve -r*f = -5*f + 15 for f.
5
Let r(n) = -4*n**2 + 4*n + 8. Let a(s) = -3*s**2 + 4*s + 7. Let d(p) = 5*a(p) - 4*r(p). Let u be d(-5). Solve u = 3*t - 1 for t.
3
Let d be (-1)/2 - (-11)/2. Suppose 4*z - 25 = -t + 6, 0 = -2*z - 3*t + 23. Suppose 3*r - z = 5. Solve 0 = -3*j + r*j - d for j.
5
Let i(x) = x + 4. Let q be (-1)/(0 + -2)*-6. Let m be i(q). Solve 4 = -5*k - m for k.
-1
Suppose 0 = 2*n - 3*n - 4*i + 11, 5*i = -5*n + 25. Let b be 1/3*(n - -6). Suppose -3*a = -b*s - 9, s + 4*a - 12 = 2*a. Solve -s*j + 1 = -3*j for j.
-1
Let t(o) = -3*o**3 + 4*o**3 - 1 + 3 + 0*o**3. Let k be t(0). Solve r - 3 = -k*r for r.
1
Suppose -3*a - 2*l = -5*l - 9, -3*a + l + 11 = 0. Solve a = 3*f - 2 for f.
2
Let s be -1 - -8*1/2. Solve 2 = -h + s*h for h.
1
Let o be (26 - -2)*12/14. Let b = o - 21. Solve 2*i = -b - 3 for i.
-3
Suppose 3*s = 5 - 2. Let b be (s/2)/((-4)/(-8)). Let q(g) = g**2 - 4*g + 4. Let f be q(4). Solve -f*d + b + 11 = 0 for d.
3
Let n(t) = 0 - 1 - 1 + 0 + t. Let v be n(7). Suppose -v*w + 0*w - 10 = 5*k, 15 = -5*w. Solve 3*z = k + 2 for z.
1
Suppose 13*i - 18 = 14*i. Let r = i - -35. Solve 3 + r = 5*l for l.
4
Let c = -15 + 8. Let y be 8 + c + 0/1. Solve -7 = 2*o - y for o.
-3
Let j(w) = w**3 + 5*w**2 + w + 5. Let c be j(-5). Let p = -2 + 5. Suppose -p*a - 1 = -4*a. Solve -t + 6 - a = c for t.
5
Let q be (-15)/2*32/(-48). Solve -q*g = 18 + 7 for g.
-5
Let z(s) = 5*s - 2. Let r(q) = -6*q + 1. Let t(v) = -4*r(v) - 5*z(v). Let a be t(3). Solve 6*c = 3*c + a for c.
1
Suppose -33 = -4*z - 5. Suppose -d = -5*t + 14, -4*t - 4*d = -z*d - 20. Suppose -5*h + t = -23. Solve 4 - 9 = -h*j for j.
1
Let b be 2*(4 - 2)/1. Solve b*x - 6*x + 4 = 0 for x.
2
Suppose 5*d = 5*c - 30, d - 16 = -2*c + 5*d. Solve 0*a + 20 = -c*a for a.
-5
Let l = 18 - 11. Suppose -16 = -2*r - 2*v + l*v, -4 = 2*v. Solve 0*k = -r*k for k.
0
Suppose 3*h - 47 + 35 = 0. Solve s + h = -s for s.
-2
Let s(u) = u + 8. Let r be s(-3). Solve -r = -5*p - 0 for p.
1
Let h = -5 + 5. Solve 0 = -h*o - o + 2 for o.
2
Let b(t) = -2*t - 8. Let g be b(5). Let r be (7/21)/((-2)/g). Solve f = r*f + 2 for f.
|
{
"pile_set_name": "DM Mathematics"
}
|
ve -1 - r = -m for m.
3
Let h = 14 - 12. Suppose 4*y + 4*f = 16, -2*y - 3*f = -3 - 6. Solve y = b + h*b for b.
1
Suppose -7 - 5 = -4*d. Solve -2*y + d = -1 for y.
2
Suppose 3*z - z - 14 = 0. Let u(f) = -f**2 + 6*f - 2*f**2 + 2*f**2 + 10. Let r be u(z). Solve -2*x - 20 = r*x for x.
-4
Let k(g) = -4*g - 16. Let c be k(-4). Solve c = -s - 0 - 3 for s.
-3
Let i = 13 - 9. Solve -i*g + 4 = -0*g for g.
1
Suppose -27 = -j + 4*u, 2*j - 26 = u - 7. Suppose 0*n - j = 4*b + 3*n, -2*b = -3*n + 17. Let m be 6/(-9)*(b + 1). Solve -3*k - m = 7 for k.
-3
Let x(y) = -y**2 - 6*y + 2. Let p be (-2)/(-2 - (-7)/3). Let d be x(p). Solve z + 15 = -d*z for z.
-5
Let f(a) = a**2 + 5*a + 1. Let j be f(-5). Let k be ((-10*j)/1)/(-2). Solve 0 - 10 = k*s for s.
-2
Let w be 5 - 2/(4 - 2). Solve -w*y + 16 + 4 = 0 for y.
5
Let b be 3/(-5) - 84/(-15). Solve 0 = -b*j + 13 + 2 for j.
3
Let u = 2 - -1. Let z be -5 + 4 + (0 - -4). Solve 0 = -z*y - 3 - u for y.
-2
Suppose -2*r - 5*a = -r + 19, 3*a + 21 = r. Suppose r + 4 = 5*w. Solve -2 = -0*g - w*g for g.
1
Let v(b) = -b**3 - 4*b**2 - b + 2. Let z be v(-4). Solve -p + 1 - z = 0 for p.
-5
Let d = 61 + -32. Suppose 5*g - d = -4. Suppose -4*p = -2*p - 2. Solve 0 = -g*x - 24 - p for x.
-5
Suppose 5*i = -t + 28, 2*i + 0*i + 4*t = 22. Solve -i*u = -0*u for u.
0
Suppose 3*b = 8*b + 990. Let k be b/(-55) + 3/(-5). Solve -k*p + 8 = p for p.
2
Let v = -111 - -113. Solve -i - 6 = -v for i.
-4
Let w(l) = -l + 7. Let q be w(4). Suppose n = -q*n + 12. Suppose n*b + 15 = 39. Solve b*v = 3*v + 20 for v.
4
Let k(r) = r**3 + 15*r**2 - r - 11. Let p be k(-15). Solve -2*q - p = 2*q for q.
-1
Suppose 4*d = 2*d + 6. Solve 0*z = d*z for z.
0
Suppose 5*g - a = -3*a - 45, g - 8 = 3*a. Let s = g - -12. Suppose s*n = 2*c + 3, -c + 5*c - 3*n - 1 = 0. Solve 0 = -2*b - 1 - c for b.
-1
Suppose 2*w = 5*v + 108, 2*v - 5*v = -3*w + 72. Let h be 1/4 + (-55)/v. Let u(f) = f**2 + 5*f - 4. Let p be u(-6). Solve -h*s - 3 = -p*s for s.
-3
Let c = 9 + -5. Let p be 3*-2*1/3. Let y = -2 - p. Solve y = t + c*t - 15 for t.
3
Let z be (16/3)/(14/21). Let a = 11 - z. Solve -a*h + 2*h - 5 = 0 for h.
-5
Suppose 2*x + 0 = 4. Let j = x - -4. Let z = 9 - j. Solve 0 = z*t + 3 for t.
-1
Let j be (-88)/(-3) + 3/(-9). Suppose 5 - j = -3*w - 3*h, 5*w + 3*h = 30. Solve 1 - 7 = -w*s for s.
2
Let b = -9 + 19. Suppose 10*c = 8*c + b. Solve -c + 0 = -5*n for n.
1
Let j be (-3 - 90/(-3))*-1. Let q be 30/4*(-18)/j. Solve -q = 2*t + 3 for t.
-4
Let p = -11 + 14. Solve h = -2*h - p for h.
-1
Suppose 11 = 5*w - p, -2*w - 3*p + 26 = 2*p. Solve -w*t = -2*t - 5 for t.
5
Suppose -i - 3 = -11. Let g(a) = 5*a - 1. Let j(o) = 2*o. Let l(q) = 3*g(q) - 7*j(q). Let f be l(i). Solve 2*d + f = 15 for d.
5
Suppose 4*l - l = 9. Solve 4*s - s + l = 0 for s.
-1
Let d(k) = -9*k + 56. Let z be d(6). Solve -z*y - y = 0 for y.
0
Let p be ((-6)/(-3))/(-1 - -2). Solve -5 = -q + p*q for q.
-5
Suppose 0 = -0*j - 2*j + 32. Suppose 4*q - j = 2*q. Solve -5*v = q - 3 for v.
-1
Let t = 7 - 4. Suppose 3*f = 3*v + 33, v = -f - 0*v + 1. Solve f = -z + t*z for z.
3
Let q be (-16)/(-10) - 4/(-10). Let i be 2/(q*3/6). Solve -i - 3 = u for u.
-5
Let n be 8/20 + 24/15. Let w(r) = 3 + 2 - n + r - 6. Let m be w(7). Solve 5*i + 11 + m = 0 for i.
-3
Suppose 0 = z - 0*z + 4*j, j + 9 = 2*z. Solve -z*n = 13 + 7 for n.
-5
Suppose c - 2*c + 14 = -2*s, -2*c + 2*s = -22. Solve 2*y = -0*y - c for y.
-4
Suppose -5*p + 4 = 3*j, 2*p = 4*p + 3*j + 2. Solve -p*l = -0*l - 6 for l.
3
Let n(t) = -t**3 + 2*t**2 + t - 2. Suppose b = 3*c - 10, 4 = -5*c + 2*b + 22. Let a be n(c). Solve -10 = 5*l - a for l.
-2
Suppose 0 = 6*m - 7*m + 3. Solve -m*u = -u + 4 for u.
-2
Let k(d) = -d**3 + 4*d**2 - 4*d + 2. Let q be k(2). Solve -3*n = -q*n for n.
0
Let z = 16 + 4. Solve 6*r - z = r for r.
4
Let k = -18 - -23. Solve k*a - 8*a = -3 for a.
1
Let z = -5 - -1. Let x = z - -9. Solve 3 = -x*g + 2*g for g.
-1
Let u = -56 + 61. Solve x = u*x for x.
0
Suppose -5*a - 6 = -3*r + 23, -2*r + 2*a = -14. Let v be 3/(-21) - 15/(-7). Solve y = r*y + v for y.
-1
Let s be 0/(2/(-1 - 1)). Let k = 29 + -25. Solve p + k = -s*p for p.
-4
Let i(r) = r + 8. Let m be (-4)/(4/5)*1. Let x be i(m). Let g(l) = l**2 + 1. Let c be g(1). Solve -c*v = v - x for v.
1
Suppose -3*g - 3*h + 30 = 0, -4*g - h + 13 = -15. Let q(k) = -k**3 - 4*k**2 + 5*k. Let l be q(-5). Solve l = -g*x + x + 10 for x.
2
Let c be (33/(-6))/((-1)/(-2)*-1). Let t(p) = -p. Let y be t(-4). Suppose 16 = y*n + 2*r, -r - 2*r - 31 = -5*n. Solve c = -n*g - 4 for g.
-3
Let r = 19 + -4. Let y = -7 + r. Solve 2*m + y + 0 = 0 for m.
-4
Let k = 1 - 1. Let m be (-21)/(-3) - 2 - 0. Let p = k + m. Solve p*v - 20 = 5 for v.
5
Let z = -2 - 13. Let y be 36/z*5/(-2). Solve -4*s + s = -y for s.
2
Suppose 0 = 2*l - 3*v - 10, -8 = -3*l - 0*l + v. Suppose -l*u + j - 12 = -2*j, 2*u + j + 20 = 0. Let f be 2/(((-30)/u)/5). Solve 2*d + 20 = -f*d for d.
-4
Let p(n) = -n**2 + 2*n + 3. Let k be p(0). Suppose -2*j = -4*j + 4*u, -2*u = j - 16. Solve -a + k*a = -j for a.
-4
Let s(t) = -11*t - 6. Let d be s(-2). Suppose -a - d = -5*a. Solve -2 = l - a for l.
2
Let t(n) = 6*n + 91. Let v(b) = -b - 18. Let y(p) = -2*t(p) - 11*v(p). Let a be y(16). Solve a*z + 4 = -z for z.
-4
Suppose 5*c = -17 - 3. Let w(t) = -2*t - 3. Let y be w(c). Let l be (-102)/(-27) + 8/36. Solve -d - l*d = -y for d.
1
Let q be 2/2*0/(1 - 2). Solve 2*d + 2*d - 8 = q for d.
2
Suppose 0 = -d + 2*q + 2 - 7, -3*q + 18 = 2*d. Solve -5*k + d*k = 0 for k.
0
Let y = -18 - -28. Let l be y*(5 - 3 - 0). Solve 2*g - l = -2*g for g.
5
Let p be 60/12 + 6/(-2). Let y = 4 + p. Solve 2*k = -k + y for k.
2
Let t(k) = -k**3 + 6*k**2 - 5*k - 2. Let v be t(6). Let p = -23 - v. Solve 3*w = -0*w + p for w.
3
Suppose -v + p - 1 = -4*v, 0 = 4*p + 20. Suppose -v*f = -10 - 10. Suppose 3*o + 4*t + 4 = 19, f = 2*o - 3*t. Solve o = -0*k - k for k.
-5
Let a(r) = r**2 + 6*r + 5. Suppose -2*t - p = 23 - 7, -3*p = 12. Let f be a(t). Suppose -3*j - 3*o + 9 = -3, 3*j + 12 = f*o. Solve -j = -2*u + 9 for u.
5
Let f(k) = -k**3 + 14*k**2 - 12*k - 7. Let i be f(13). Solve r = -r - i for r.
-3
Let p = 6 + -2. Let s be 2*(10/p - 0). Solve -20 = -3*x - s for x.
5
Let c = 54 + -52. Solve c*m + 10 = -3*m for m.
-2
Let g = -5 + 8. Suppose -g*q = -0*q - v + 2, -5*q + 5*v = 10. Solve -4*l + 6*l + 4 = q for l.
-2
Let b = 0 - 0. Let q be (25 + -21)*(-50)/(-8). Suppose -2*l + 6*l - 23 = -p, -16 = -2*l - 2*p. Solve l*o - q = -b*o for o.
5
Let k = 52 - 49. Solve -c - 2*c = k for c.
-1
Suppose 5*d + 4 = 4*f - 8, 9 = -2*d + 3*f. Let a be d - 2*6/(-3). Solve a*v - 2 = 2 for v.
1
Let g be (-5)/15 + 2/6. Suppose 0 = 4*v - 2*r + 26, 2*v + 11 = -g*v - r. Let t be v/15 + (-14)/(-10). Solve -t = k - 5 for k.
4
Let t(s) = 2*s - 8. Let u be t(4). Solve u = -6*d + d - 25 for d.
-5
Let h = -83 - -85. Solve -4*u = -h*u for u.
0
Suppose 9*a - 5*a - 8 = 0. Solve a*p = 6*p + 12 for p.
-3
Let y = 4 + -6. Let z be (4/14)/(y/(-14)). Suppose -q + 3*n + 21 = 0, n - 2*n = z*q - 14. Solve 4*b - q = b for b.
3
Let u(s) = 2*s**2 + 2*s + 1. Let h be u(-2). Let m(j) = -j**3 - 8*j**2 - 7*j. Let t be m(-7). Let z = h + t. Solve -z*l + 7 - 22 = 0 for l.
-3
Let w(o) = 6*o**2 + o + 1. Suppose 5*y - 19 = a, -4*y - 2*a + 3 = -1. Let i be (-1)/(3/9*y). Let n be w(i). Solve 14 = -5*r - n for r.
-4
Let o(y) = y**3 - 9*y**2 - 9*y - 7. Let v be o(10). Suppose v*m - 43 = -1. Solve -4*j - m = 6 for j.
-5
Let r = 60 - 58. Solve -6*n = -r*n for n.
0
Suppose -4*h + o = -20, 0*h + 5*o - 10 = -2*h. Solve h*j = 22 + 3 for j.
5
Let k be 0 - 1 - 22/2. Let t be k/66 - (-92)/22. Solve -x = t*x - 10 for x.
2
Suppose -9*l + 5*l + 4 = p, 0 = -3*l + 3. Solve 2*z + 2*z - 4 = p for z.
1
Suppose -o + 20 = 4*o. Solve -3*l + o = l for l.
1
Let n = -29 + 32. Solve -i - 4 = -n*i for i.
2
Let s(w) = -w**2 - 11*w - 7. Let a be s(-9). Suppose -16 = -3*m + a. Suppose 4*y - y - m = 0. Solve -y*g + 10 = 2*g for g.
2
Let y(k) = k + 13. Let b = -15 - -5. Let o be y(b). Solve v + o - 1 = 0 for v.
-2
Let z(h) = -2*h - 10. Let d be z(-5). Solve -v - 2*v - 3 = d for v.
-1
Suppose -4*k + 5*k - 4 = 0. Suppose -3*s + k = s. Solve f - 2 = -s for f.
1
Let c = -2 + 3. Let p be (c - 2)*(3 + -5). Solve f = -p*f for f.
0
Suppose c - 4*r + 0 = 8, -5*r = c + 1. Suppose 0 = -c*h + 6*h. Solve h = -2*q + q for q.
0
Let a
|
{
"pile_set_name": "DM Mathematics"
}
|
(k) = -2*k. Let z(p) = -31323*p. What is z(n(u))?
62646*u
Let g(c) = 7*c**2. Let m(k) = 19*k. Calculate m(g(h)).
133*h**2
Let v be (-26)/(-7) - 6/(-21). Let o be (2 + (0 - 2))/((-1)/1). Let h(g) = -4 + o*g + g + v. Let x(k) = -k**2. Determine h(x(i)).
-i**2
Let s(l) = -l. Let m(o) be the second derivative of 31*o**4/12 + 18*o. Give m(s(d)).
31*d**2
Let q(a) = 23*a. Let s(m) = -29*m - 2. Give s(q(w)).
-667*w - 2
Let y(p) = 9*p. Let i(k) = -9*k. Calculate i(y(h)).
-81*h
Let w(d) = 2*d - 20*d - 17*d + 7*d. Let x(f) = 3*f**2. Determine x(w(g)).
2352*g**2
Let r(z) = 4*z. Let w(j) = 56*j. Give r(w(u)).
224*u
Suppose 0 = -3*t - u - 18, -4*u = -2*t - 0 - 12. Let d(s) = -2*s - 7. Let r be d(t). Let h(l) = -r + 5 - 2*l**2. Let k(b) = -b. Calculate k(h(i)).
2*i**2
Let b be (2 - 4)*-1*2. Let g = -6 + 8. Let d(h) = 4 - b + 3*h**g. Let l(f) = f. Determine d(l(j)).
3*j**2
Let m(g) = 55*g**2 - 2*g. Let i(b) = -7*b. What is i(m(x))?
-385*x**2 + 14*x
Let o(l) = -2*l**2. Let w(f) be the second derivative of f**4/12 - 14*f. Give w(o(x)).
4*x**4
Let q(x) = 2*x. Let v(k) = -11769*k. Determine v(q(i)).
-23538*i
Let o be ((-2)/(-4))/((-1)/(-8)). Let v(a) = -4 + 3*a + o. Let k(m) = -m**2. Give k(v(s)).
-9*s**2
Let u(j) = -23*j**2 - 9*j**2 + 41*j**2. Let l(x) = -2*x**2. Give u(l(r)).
36*r**4
Let g(b) = -86*b. Let d(c) = 7*c. Give g(d(l)).
-602*l
Let q(i) = 2*i**2. Let p(u) = u. Let w(c) be the first derivative of -5*c**2 + 5. Let o(k) = 12*p(k) + w(k). Calculate q(o(v)).
8*v**2
Let p(l) = -2 + 60*l**2 - 54*l**2 + 2. Let c(r) = 2*r. Determine c(p(o)).
12*o**2
Let u(n) be the third derivative of n**4/24 + 27*n**2. Let p(q) = -4*q**2 + 2. Give u(p(a)).
-4*a**2 + 2
Let i(r) = -2*r**2. Let m(q) = 11 - 3*q - 11 + 7*q. Give m(i(d)).
-8*d**2
Let a(q) = q. Let p(k) = 3*k**2 + 31*k + 36. Give p(a(v)).
3*v**2 + 31*v + 36
Let o(z) = -5*z. Let n(d) = 1211*d**2 + 1. What is o(n(v))?
-6055*v**2 - 5
Let s(q) = 5*q - 3*q + q - 4*q. Let g(a) = 76*a**2. What is g(s(p))?
76*p**2
Let p(r) be the third derivative of -r**5/15 + 6*r**2 + 4. Let l(j) = 4*j**2 + 0*j + 0*j. Determine l(p(f)).
64*f**4
Let v(c) = 23 + 4*c**2 - 2*c**2 - 23. Let y(i) = -74*i**2. What is y(v(h))?
-296*h**4
Let l(y) = 3*y**2. Let b(n) = -38*n**2. Give b(l(f)).
-342*f**4
Let l(a) = 15*a**2. Let s(v) = v**2 - v + 1. Let z(c) = 5*c**2 - 6*c + 6. Let j(f) = -6*s(f) + z(f). Calculate j(l(o)).
-225*o**4
Let a(x) = -x. Let s(z) = 2*z + 4331. Determine a(s(o)).
-2*o - 4331
Let z(a) = -93*a**2. Let y(n) = -45*n. Determine z(y(g)).
-188325*g**2
Let h(c) = 7*c**2 - 6*c. Suppose -3*v + 30 = -8*v. Let t(y) = -20*y**2 + 17*y. Let n(j) = v*t(j) - 17*h(j). Let z(a) = 5*a**2. Determine z(n(f)).
5*f**4
Let b(i) = i**2. Let f(g) = 6*g + 9. Let m(w) = w**3 - 10*w**2 - 12*w + 9. Let x be m(11). Let r(k) = -k - 1. Let y(q) = x*f(q) - 18*r(q). Calculate y(b(z)).
6*z**2
Let d(s) = 3*s. Let g(z) = -6*z. Let j(m) = -7*d(m) - 3*g(m). Let t(u) = -4*u. What is t(j(c))?
12*c
Let x(m) = -2*m - 2 + 2. Let s(u) = 3*u**2 - 5*u + 10*u + 2*u. Let r(d) = d**2 + 2*d. Let y(z) = 7*r(z) - 2*s(z). Calculate x(y(f)).
-2*f**2
Let y(i) be the third derivative of -i**7/5040 - i**5/20 - 2*i**2. Let k(j) be the third derivative of y(j). Let r(v) = 2*v**2. What is k(r(n))?
-2*n**2
Suppose 2 = -6*w + 26. Let q(v) be the third derivative of -1/60*v**5 + 0 + 2*v**2 + 0*v**3 + 0*v**w + 0*v. Let l(z) = 2*z**2. Determine q(l(d)).
-4*d**4
Let f(r) = -74*r. Let h(a) = -12*a. What is h(f(w))?
888*w
Let w(y) be the second derivative of y**4/12 + y**2 + 7*y. Let r(n) = -4*n**2 - 7. Let h(z) = 2*r(z) + 7*w(z). Let v(s) = 9*s**2. Calculate h(v(q)).
-81*q**4
Let l(i) = -i. Let z(u) = u - 1. Let k(s) = 3*s**2 - 13*s + 5. Let v(p) = -k(p) - 5*z(p). Give v(l(f)).
-3*f**2 - 8*f
Let b(y) = -2*y**2. Let x(c) = -3*c - 44. Give x(b(o)).
6*o**2 - 44
Let y(w) = -2*w. Suppose -2*x - 5*r = 2, -9 = -3*x - 2*r - 1. Let n(s) = -3*s. Let k(b) = x*n(b) - 5*y(b). Let p(f) = f**2. Calculate p(k(a)).
4*a**2
Let z(r) = -r + 1. Let p(f) = -6 + 0*f + 3*f + 3 - f. Let u(y) = -p(y) - 3*z(y). Let g(m) = 15*m**2. Determine g(u(l)).
15*l**2
Let v(x) = -7*x**2. Let m(n) = 27*n. Let t(p) = 11*p. Let k(b) = -5*m(b) + 12*t(b). Determine k(v(q)).
21*q**2
Let m(w) = 2*w**2. Let x be (-2)/7 - 99/21. Let z(g) = g + 6. Let t be z(x). Let c(n) = -t - 3*n**2 - 5 + 6. Determine m(c(j)).
18*j**4
Let c(l) = 28*l + 22. Let m(t) = -9*t - 7. Let s(w) = -6*c(w) - 20*m(w). Let g(k) = -4*k - 3. Let v(n) = 8*g(n) + 3*s(n). Let x(r) = -r. Calculate v(x(a)).
-4*a
Let f(w) = -2*w. Let h(s) = -121*s. Determine f(h(x)).
242*x
Let y(x) = 11*x. Let m(z) = -z**2 + 3*z**2 + 5*z**2 - 3*z**2. Give y(m(d)).
44*d**2
Let n(d) = -2*d**2. Let k(u) = -1194*u. Calculate k(n(j)).
2388*j**2
Let w(m) = -4*m. Suppose -3 = -4*q + 5. Let s(z) = -z - q*z + z + 4*z. Give s(w(l)).
-8*l
Let j(h) = -18*h**2. Let c(s) = -3*s**2 + 5. Let r(o) = o**2 - 2. Let l(t) = 2*c(t) + 5*r(t). Give l(j(v)).
-324*v**4
Suppose -2*q + 3*g + 61 = 3*q, q - 5*g - 21 = 0. Let s(d) = -3 + 3 + 6*d**2 - q*d**2. Let m(w) = -2*w. What is s(m(p))?
-20*p**2
Let w(s) = s**2. Let h(d) be the second derivative of 5/3*d**3 + 0*d**2 + 5*d + 0. Give w(h(z)).
100*z**2
Let w(h) = 10*h. Let i(m) be the first derivative of 2*m**3/3 + 9. Calculate i(w(u)).
200*u**2
Let o(r) = -r**2 + r + 4. Let y be o(0). Let b(d) = y*d + 0 + 0 + 0. Let x(p) = -2*p. What is b(x(g))?
-8*g
Let c(k) = -8*k**2. Let g(v) = -167 - 4*v + 167. Calculate g(c(w)).
32*w**2
Let p(d) be the first derivative of -2*d**3/3 - 7. Let y(m) = 2*m**2. Determine p(y(f)).
-8*f**4
Let l(r) = -5*r**2. Let f(z) = -2*z**2 - 6*z**2 + 11*z**2. Determine l(f(h)).
-45*h**4
Let r(v) = 2*v**2. Let c(g) be the second derivative of -23*g**4/3 + 28*g. What is c(r(q))?
-368*q**4
Let y(q) = 2*q. Let z(x) = -10*x**2 + 5*x + 4. Let h(l) = -29*l**2 + 16*l + 14. Let t(n) = -2*h(n) + 7*z(n). Calculate t(y(o)).
-48*o**2 + 6*o
Let j(y) be the first derivative of -1/2*y**2 + 6 + 0*y. Let z(m) = 2*m**2. Calculate z(j(v)).
2*v**2
Let i(m) be the third derivative of -m**5/20 - 3*m**2. Let k(x) = -x. What is k(i(v))?
3*v**2
Let l(d) be the first derivative of -d**2/2 + 1. Let n(s) = s - 1. Let f(r) = 1. Let y(v) = f(v) + n(v). Determine y(l(u)).
-u
Let h(r) be the first derivative of r**2 + 50. Let g(f) = 5*f**2. Give g(h(n)).
20*n**2
Let u(x) = 3*x. Let d(s) = 17*s. Let g(r) = -9*r. Let i(f) = -2*d(f) - 5*g(f). Determine u(i(v)).
33*v
Let x(m) = 392*m - 783*m - 60*m**2 + 391*m. Let i(u) = 3*u**2. What is x(i(j))?
-540*j**4
Let j(o) be the first derivative of o**2 + 12. Let b(d) = 12*d**2. Calculate b(j(q)).
48*q**2
Let m(b) = -2*b**2. Let a(z) be the second derivative of 0*z**3 + 0 - 11/12*z**4 + 6*z + 0*z**2. Give m(a(g)).
-242*g**4
Let z(p) be the second derivative of -7*p**3/6 - 5*p. Let m(s) = 2*s**2. Calculate m(z(j)).
98*j**2
Suppose -2*q = -4 - 0. Let p(i) = -2*i - i + q*i. Let s(r) = -r + 1. Let n(t) = 9*t - 12. Let l(u) = n(u) + 12*s(u). Determine p(l(d)).
3*d
Let c(f) = -f. Let i(p) = p - 1. Let v(g) = 8*g**2 + 4*g - 4. Let z(q) = 4*i(q) - v(q). What is c(z(h))?
8*h**2
Let g(p) = 7*p**2 - 6*p - 6. Let y(h) = 13*h**2 - 11*h - 11. Let q(t) = 11*g(t) - 6*y(t). Let j(x) = -9*x**2. Determine q(j(r)).
-81*r**4
Let d(g) = -g - 147. Let f(y) = 3*y**2. Give d(f(b)).
-3*b**2 - 147
Let d(f) be the second derivative of -2*f**3/3 + 62*f. Let u(k) be the first derivative of -k**2 - 1. Determine d(u(a)).
8*a
Let u(l) be the second derivative of 1/2*l**3 + 2*l + 0*l**2 + 0. Let h(i) = -2*i - i + 2*i. Determine h(u(c)).
-3*c
Let x(o) = -1. Let h(u) = 68. Let y(n) = -n**2 - 1. Let t(w) = h(w) - 17*y(w). Let m(c) = -t(c) - 85*x(c). Let q(i) = 2*i. What is q(m(v))?
-34*v**2
Let b(k) be the second derivative of -k + 0 + 0*k**3 - 1/12*k**4 + 0*k**2. Let m(y) be the first derivative of -y**3/3 - 4. Calculate b(m(r)).
-r**4
Let h(u) = -5*u. Suppose 0 = 5*v - 10*v - 5. Let c(j) = j**2 - 1. Let x(y) = -4*y**2 + 3. Let s(i) = v*x(i) - 3*c(i). What is s(h(a))?
25*a**2
Let o(t) = t. Let g be o(4). Let z(s) = -2*s - 4*s + s + g*s. Let f(l) = 4*l - 5. Let b(h) = 3*h - 4. Let x(v) = -5*b(v) + 4*f(v). Determine x(z(r)).
-r
Let a(p) be the first derivative of -p**5/60 + 4*p**3/3 - 8. Let s(m) be the third derivative of a(m). Let h(b) = 10*b**2. Calculate h(s(i)).
40*i**2
Let m
|
{
"pile_set_name": "DM Mathematics"
}
|
o (b) -1/5 (c) 0.4
b
Let v = 31 - 405/13. Suppose -2*t - 2*o = -6*t, 2*o = -2*t - 6. Which is the closest to -2/3? (a) v (b) t (c) 2/9
b
Let w = 75/4 - 18. What is the closest to 1 in w, -0.2, -2?
w
Let o = 3 - 4. Let h = -0.6 + -3.4. Which is the closest to o? (a) h (b) 1 (c) 0
c
Let u = -1.5 + 1.1. Which is the nearest to 2/11? (a) u (b) 2 (c) 4/7
c
Suppose 10 = -5*g - 5. What is the closest to 0 in g, 0.1, -4?
0.1
Let k = 3.5 - 1.5. Which is the closest to -0.2? (a) 3 (b) k (c) 1
c
Let x be (-18)/(-52) - (-1)/(-2). Let h(q) = -q**2 + 1. Let t be h(0). Let z be ((-1)/t)/((-6)/12). Which is the nearest to -1? (a) x (b) z (c) 0
a
Let p = 0.07 - 0.27. Let u = 198 - 1784/9. Which is the closest to 1? (a) p (b) u (c) -0.6
a
Suppose -21 = -3*r + 5*g - 9, -5*g = -r + 4. Which is the closest to 0.1? (a) r (b) 0.5 (c) 2
b
Let p = -12.2 + 12. Let b = p - -1.2. Let j = 0.8 - -0.2. What is the nearest to b in j, 1/2, 2/9?
j
Let i(t) = t**3 + 5*t**2 + 4*t - 1. Let z be i(-3). Let n = z + -7. What is the nearest to -2 in n, -0.1, -0.3?
n
Let x be (1 + (-16)/12)*2. Which is the closest to 1? (a) x (b) -3/4 (c) 2/7
c
Let z = -0.967 + -0.033. Which is the nearest to 2? (a) -0.1 (b) 2 (c) z
b
Let q = 0 + -1. Let w = -11/90 + -1/10. Suppose 0*o + o = 2. Which is the closest to q? (a) w (b) o (c) 0.5
a
Suppose 4*p = 7*p - 3*o + 3, 0 = 5*p + 3*o - 11. Let a = -1 - -3. What is the closest to -2/3 in a, 0.3, p?
0.3
Let u = 23 + -28. Let k = -0.6 + 2.6. What is the closest to k in -3, u, -0.2?
-0.2
Let j = -4.07 - -0.07. Let g be 2/(-3) + 44/57. Let s = -16 + 14. Which is the nearest to s? (a) j (b) 3/2 (c) g
a
Let g = 203/6 - 34. Let n = -97 - -487/5. Let k = 3/29 + -38/87. What is the nearest to k in g, n, -3?
g
Let y = -2 - -3. Let z = 4.8 + -3.77. Let u = z + -0.03. What is the closest to y in -4, u, -4/5?
u
Let u = -25 + 26. Which is the nearest to u? (a) -2 (b) -2/5 (c) -3/5
b
Let d = -222 - -1106/5. Let m = -4.018 + 0.018. What is the nearest to 0 in m, 0.5, d?
0.5
Let o = -1.4 + 1.7. Which is the closest to -3? (a) -2/3 (b) o (c) 0.5
a
Let f = 0.1 - -0.2. Which is the closest to 0? (a) -0.2 (b) f (c) -4
a
Let d(l) be the second derivative of l**5/20 + l**4/2 - 7*l**3/6 + l. Let w be d(-7). Which is the closest to 1/4? (a) -0.3 (b) -4 (c) w
c
Let f be (2/(-4)*0)/2. Suppose -m - v + 8 = -f*m, 0 = -4*v + 20. Let i = 23 + -23.2. What is the nearest to -1 in 3/4, i, m?
i
Let v = -7 - -7.1. What is the nearest to v in 1, 5, 0.02?
0.02
Let r = -1 + 1. Let n = 9.91 - 10. Let u = -0.01 + n. Which is the nearest to u? (a) r (b) 0.5 (c) 5
a
Let u = -7.4 + 7. What is the closest to 0 in -0.2, u, 1?
-0.2
Suppose -4*t + 9*t = 0. Which is the closest to 2/21? (a) 2/7 (b) t (c) 2
b
Let o = 0.08 - 0.33. Let i = o - -0.65. Which is the nearest to 2? (a) 5 (b) i (c) 0.2
b
Let j = -0.2 + 0.7. Let w be (-6)/2*(-4)/(-10). Let y = -0.06 - -0.16. What is the nearest to y in w, 2/9, j?
2/9
Let j be (3/(-2))/((-63)/12). What is the closest to j in 0.5, 0, 0.4?
0.4
Let r = 0.3 + 0.2. Let s = 8.2 - 8. Which is the closest to s? (a) -1/9 (b) 5 (c) r
c
Let h = -3 + 2. Let w be (1 - h) + (-8)/5. Suppose -2*f = -3*f + 2*o + 2, 5*f + 2*o = -14. Which is the closest to f? (a) -5 (b) 3 (c) w
c
Let j be 5/(-3) + (-1 - -3). Which is the nearest to j? (a) 4/9 (b) -2 (c) -2/17
a
Let b = 10 + -17. Let l = -11 - b. What is the closest to 0.1 in l, 2, -1/6?
-1/6
Let x = 76903/225 + -3077/9. Let l = 8/25 + x. Which is the nearest to -0.1? (a) -1 (b) l (c) -0.04
c
Let s = 3 - 8. Let m be 8 - (-8)/((-200)/215). What is the nearest to -1 in s, -5/4, m?
-5/4
Let l = 11.9 + -12. What is the closest to l in 4, -1, -1/3?
-1/3
Let k be 1 - (5 - 3/3). Let r = -1643/6 - -273. Which is the closest to 0.1? (a) k (b) 3 (c) r
c
Let m = -2.6 + 4.6. What is the closest to m in -2/3, 0, 3?
3
Let o = 0.24 + -0.04. Which is the closest to 0.3? (a) o (b) -0.5 (c) 2
a
Let b be 6/5*2/(-6). Let v = -7 + 12. What is the nearest to 2 in b, v, 1/9?
1/9
Let n = -1 + 4. Let f = 2 - n. Let k be (6 - 4) + (-8)/5. What is the closest to k in f, 0, -5?
0
Let u be 2/(-4)*48/(-30). Which is the closest to -2/5? (a) -0.6 (b) 4 (c) u
a
Let f = 1 + 1. Let g = 727 - 729. Let o = -25 - -49/2. What is the nearest to o in -0.2, g, f?
-0.2
Let x = 95 - 93.1. Let g = 8 - 7.1. Let r = g - x. What is the closest to -2 in 0.1, 5, r?
r
Let i(r) = -r**2 - 9*r - 9. Let u be i(-8). Let f be 3*u/(-27)*2. Let m be (1 + 5)/((-12)/8). Which is the nearest to 1? (a) m (b) 2/13 (c) f
c
Suppose 16 = -z + 2*d + 2*d, 2*d + 6 = -3*z. Let n be 117/126 - (-2)/z. Which is the closest to -1? (a) 0.5 (b) -4 (c) n
c
Let w = 1.2 - -1.8. Suppose 3*z = -2*z + 10. What is the nearest to -0.1 in z, -4, w?
z
Let d = 2 - 4. Let g be ((-3)/(-12))/(1/d). Let t = 0.02 - 0.22. Which is the nearest to 1? (a) t (b) -1/4 (c) g
a
Let o = -0.2 + 0.3. What is the closest to o in 0.5, 2, -5?
0.5
Let c be 1/(2 + 3/(-3)). Let f = -0.03 - 0.47. Let o be 3*(0 + 3/(-12)). What is the nearest to c in o, 2, f?
2
Let g be (1 - (2 + -1))*1. Let n(q) = q**2 + 2*q - 4. Let s be n(-4). Suppose g = -3*y - s - 8. Which is the closest to 1? (a) 1 (b) 1/3 (c) y
a
Let h be (4 + 45/(-10))/1. Which is the closest to h? (a) 5/2 (b) 2 (c) 1/3
c
Let n = 81.9 + -63. Let o = 16 - n. Let k = o - -3. Which is the closest to -1? (a) -2 (b) k (c) 2/15
a
Let j = 0.2 + -0.1. Suppose n + 4*n = 55. Let o(i) = i**3 - 10*i**2 - 10*i - 8. Let s be o(n). Which is the closest to j? (a) -5 (b) s (c) -2/9
c
Let a = 119 + -119. What is the closest to -2/3 in a, -0.2, 0.3?
-0.2
Let i = 13.9 + 0.1. Let q = 11 - i. What is the closest to -0.2 in -2, q, -0.4?
-0.4
Let t = 0.111 + -0.611. What is the closest to 2/5 in -5, 1/65, t?
1/65
Let q = -3.2 - 0.8. Let s = q - -3.6. Which is the closest to 1? (a) s (b) -3 (c) 3
a
Let t = -136 + 133. What is the closest to -1 in 8, -1, t?
-1
Let q = -182.7 + 183. What is the nearest to -2/7 in -0.5, q, -2?
-0.5
Let d = 6 + -8. Which is the closest to 9? (a) -1/2 (b) 0.3 (c) d
b
Let h be 17/(-6) - (0 - -1). Let w = h - -95/24. Let n = 2 - 2. Which is the closest to 1/2? (a) w (b) 0.2 (c) n
b
Let i = 2 + -1.9. Let x = 0.396 + -5.396. What is the closest to i in 0.1, -0.2, x?
0.1
Let m = -3.7 + 4. Let t = -11 - -11.7. Let l = m + t. Which is the closest to l? (a) -1/4 (b) 1 (c) -2
b
Suppose -y = -m + 3*y - 14, -m - 5*y + 31 = 0. Let d = m + -1. What is the nearest to 2/5 in -0.2, -1, d?
-0.2
Suppose -4*n + 10 + 8 = -2*d, 3*n = -d + 21. Let y be ((-3)/7)/(n/4). Which is the closest to 0? (a) y (b) -5 (c) 0.1
c
Let n be ((-2)/12)/(7/(-406)). Let l = 9 - n. What is the nearest to l in 0.5, 2/7, 2?
2/7
Let i = -19 - -13. Let j = i - -4. Let w be 2 + -2 - 1/4. Which is the closest to w? (a) j (b) 1/10 (c) 0.3
b
Let d = -14 - -8. Let c = 28.5 + -29. What is the closest to -2 in c, d, -4?
c
Let j = 4 + -4. Let g = -0.54 - 2.46. Let q = 7 + -11. What is the nearest to j in q, g, -0.4?
-0.4
Let r be (-4)/(-6) - (-32)/(-66). Let y = -3 + 2. Let x = -2.13 + 0.13. Which is the closest to 1? (a) x (b) r (c) y
b
Let i = 0.3 + -0.2. Let c = 0.45 + -0.05. Let q = i + c. What is the nearest to -0.1 in 4/9, q, 5?
4/9
Let v = -20.5 + 21. Let n = -2 + 2.2. Which is the nearest to n? (a) 0.4 (b) -3/7 (c) v
a
Let o = 4 - 3.5. Let c = -192 + 1726/9. What is the closest to c in 4, o, -1/9?
-1/9
Let x be 217/21 - 2/6. Let c be 1/2 - (-15)/x. Let g = -2 + c. What is the closest to g in -2, -2/23, -1?
-2/23
Let y = 0 + -0.2. Let v = -20 - -20. Which is the nearest to v? (a) -1/10 (b) y (c) -0.4
a
Let b = 0 - -1. Let a be (-20)/(-16)*(-8)/20. What is the nearest to b in a, -0.4, -0.2?
-0.2
Let o be (-20)/(-40) + (-7)/6. What is the nearest to o in -0.01, -5, -1?
-1
Let p = -0.6 - -0.2. Let t = p + 0.3. Which is the closest to t? (a) -1 (b) 0 (c) 2/7
b
Let t = -2/21 - 17/42. Let d = 32 + -30. Which is the nearest to 2? (a) t (b) 5 (c) d
c
Let z be ((3 - -1) + -3)/7. What is the closest to -1 in z, -4, 1/2?
z
Let t = -8 + 7.5. Let h = -3 + 6. What is the closest to 2/9 in 3/4, t, h?
3/4
Let b be 0/(-1) - (-7 - -9). Let g be ((-6)/3)/(5/b). What is the nearest to 0.3 in g, 2, -5?
g
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
= -12 + 15. Suppose 5*g = -4*v + d, 3*g - 6*g = -2*v + 7. Solve 4*x - v = y - 0*y, -5*y + 5*x = -5 for y.
2
Let j be ((-1)/2)/(1/(-6)). Let u = j + -1. Let p be (1460/(-300) + 5)*(1 - 6)*-9. Solve -5 = u*k + b, 4*b + p = -3*k - 4 for k.
-2
Suppose -w + 27 = 3*n + 12, -4*n - 4*w + 12 = 0. Solve b - 2 = 0, -z + n = -4*b + 8*b for z.
-2
Let o be (-58)/2*1 - 2. Let y = -24 - o. Solve -10 = 5*h - 2*n, -2*h + n = h + y for h.
-4
Let b(u) = -2*u + 30. Let q be b(14). Suppose 0*t = t - q. Solve 0 = -5*m - v - 20, 6*m + t*v = m - 15 for m.
-5
Suppose -195 = -p - 4*p. Let w = p + -31. Solve 2*o = -o - 4*i - 1, 2*i = -w for o.
5
Let f be 10*(36/30)/3. Let x = 5 - 5. Solve -f*g = -x*g + 5*u - 11, 2*g - 13 = 5*u for g.
4
Let g(m) = m**2 - 20*m + 46. Let j be g(18). Solve 3*p - 2*u = 6, -10 = -2*p - 4*u + j for p.
4
Let n(b) be the second derivative of -b**5/20 - 23*b**4/12 + b**3/6 + 27*b**2/2 + 34*b. Let y be n(-23). Solve 4*q - 4*x + 24 = 0, 22 = -5*q + x + y for q.
-3
Suppose -5 - 15 = -5*q. Suppose -y - 7 = -5*z, -11 = -28*z + 24*z - y. Solve 3*u - 3 = -3*h, -z*h - q*u + 17 = u for h.
-4
Let t(w) = -3*w - 21. Let k be t(-9). Suppose -3 = -3*g + k. Solve 0 = -g*m + 3*z + 24, -5*m + 0*z + 2*z + 31 = 0 for m.
5
Suppose -8*d + 21 = -11. Let a(o) = o + 7. Let b be a(d). Solve -h + 0*w - 10 = -3*w, -5*w = 4*h - b for h.
-1
Suppose -4 = -0*g - 2*g + x, -2*g - 3*x + 20 = 0. Suppose 2*t = -1 - 7, -v = -t - g. Suppose v*s - 2*s = -2. Solve 3*a + 19 = -5*z, 3*z = -2*a + 2*z - s for a.
2
Let d be 396/(-110)*10/(-6). Solve 3*u + 2*p + 0 = -d, -3*u + 2*p = -6 for u.
0
Let o(t) = 2*t**2 - 44*t + 149. Let i be o(18). Solve -5*q + 2*r - 8 = -28, r = -i for q.
2
Let a(l) be the first derivative of l**3/3 + 10*l**2 + 40*l + 29. Let i be a(-18). Solve -w + 3 = 2*j - 9, -i*j - 4*w = -32 for j.
4
Suppose 2*o = -13*o + 15. Solve 3*g + k = o, 5*g + 5 = 5*k - 0*k for g.
0
Let p be (-4)/12*(1 + -1). Suppose p = -5*k + k - 24. Let s be -1 + ((-12)/4 - k). Solve 30 = s*f + f - 3*v, f = -3*v - 10 for f.
5
Suppose 0 = -17*i + 15*i + 5*n + 21, 0 = -5*n - 15. Solve -4*t - 4*s + i = -9, t = -3*s + 11 for t.
-1
Let g be (6 - 133/21)*-9. Solve -5*d + g*a = -a - 4, 2*d - 2*a = 0 for d.
4
Let b be (26/10)/((-2)/(-10)). Let x = b - 9. Let r = -2 + 4. Solve r = -2*o - 5*j - x, 2*j = -4 for o.
2
Let a = 52 - 48. Solve a*u = -2*q + 16, 2*u - 16 = 3*q - 0*q for u.
5
Suppose 4*z = 20, -2*l + 5*l + z - 14 = 0. Solve 16 + 2 = -4*o + 2*p, -l*o - 3*p = 0 for o.
-3
Let m = 401 + -398. Solve -2*b + m*j = 7, 5*b + 10 = -3*j + 8*j for b.
1
Let d = -2 + 4. Suppose -g + d = -0. Solve -3*c + 4*z = -29, -4*c + g*z = -3*c - 13 for c.
3
Suppose -2*n + 5*c = c - 162, 3 = c. Let i = n - 84. Solve 0 = -2*m - 3*y - 11, i*m + y - 2*y = 0 for m.
-1
Suppose -3*x + 8 = -7*x. Let k(q) = 5*q + 14. Let s be k(x). Solve 12 = s*g + 3*y - 8, 4*y + 10 = 2*g for g.
5
Let z be 10/35 - (-1)/((-14)/(-38)). Solve -5*g - 2*x + 25 = 3*x, -2*g + z*x = -10 for g.
5
Let s(d) = 7*d - 14. Let j be s(2). Suppose 4*w + 16 = -j*k - 4*k, 2*k = 5*w - 15. Solve -w - 1 = h, -u = -4*h - 4 for u.
-4
Let f = -8 - -14. Suppose -37 = 10*w - 67. Solve -f = 3*u - 3*t, -w*t - 1 = u + 3*u for u.
-1
Suppose -4*l = w - 14, -4*w - 13 = -5*l - 3*w. Let j be 3/(-18)*l + 54/4. Solve -r - j = -5*c - 0*r, 3*c = -4*r + 17 for c.
3
Suppose 0 = 4*d - 2*r - 42, -2*d - 4*r = -4*d + 36. Let i = 6 + d. Solve 0 = 3*h - 3*f - 9, -2*f + 0*f = 3*h - i for h.
4
Let u be 40/(-25) + 19/(-20)*-8. Solve u = -9*b + 7*b, 5*b + 15 = -4*j for j.
0
Let n(y) = 2*y + 12. Suppose 0*z + 3*z + 24 = 0. Let g be n(z). Let s be 9 - (-6)/g*-2. Solve i - 20 = -3*i, -2*i + s = -2*j for j.
-1
Suppose 12*i + 3*t = 11*i + 17, -5*i + 5*t + 5 = 0. Solve i*v - 5*m + 1 - 36 = 0, -m - 1 = v for v.
3
Suppose 5*a = -a - a. Suppose -4*k = -5*x - 6, -3*k + 10 = -x - a*x. Solve k*j = -5*u + 2 - 0, u = -2*j - 2 for u.
2
Let w = -38 + 58. Suppose 5*v - 2*k = 13, 3*v + 2*k - w = -9. Solve 2*p - 3*b - 1 = -6*b, v = 3*b for p.
-1
Let p(l) = -l**2 + 29*l - 136. Let x be p(6). Solve 5*u + 2 = -x*m, -4*u = -3*m - 6 + 3 for m.
-1
Let c be 2 + (-56)/30 - 146/(-30). Solve 3*o = 5*g + 26, -c*g - 3*o = -2*o + 18 for g.
-4
Let g(o) = -o. Let p be g(-4). Let z be p/(-5)*(-70)/4. Let w = 20 - z. Solve -n = 3, -m + w = -0*n - 3*n for m.
-3
Let y(b) = b**3 + 5*b**2 + 7*b + 50. Let d be y(-5). Solve 17 = 2*z + 3*k, -4*z - 3*k + 4 = -d for z.
1
Let t(l) = -l**3 + 15*l**2 + 15*l + 23. Let m be (16/12)/((-1)/(-12)). Let w be t(m). Let y be (4/10)/(w/70). Solve -4*q + a + y = 0, q - 3*q + 4*a = -16 for q.
0
Let f be (-3)/(-81) - (-4960)/1674. Suppose 2*x = 5*g + 10, 2*g = -0*g - 4*x + 20. Solve q - f*h + 18 = 4*q, -2*h + 8 = g for q.
2
Let o be (-4)/2*-4*2 + 0. Suppose -t + 0*a - a + 6 = 0, -3*a = 2*t - o. Solve 4*z - 2 = 5*b, -t*b + 0 = -4*z - 4 for b.
-2
Suppose 0 = -11*k - 125 - 469. Suppose 447 = 5*j + 4*c, 0*j + 176 = 2*j + 3*c. Let x = j + k. Solve -5*o = 3*z - x, -2*z = 2*z - 5*o + 9 for z.
4
Suppose -4 + 10 = 3*s. Solve -2*p + 2 = 2*u, p + 3*u - 3 + s = 0 for p.
1
Suppose -4*g = -9*g + 90. Let v = g + -18. Suppose 0*f + 5*f - 80 = v. Solve -4*q + 3*q = -s + 7, -s = -4*q - f for s.
4
Let s be (24/18)/((-4)/(-6)) - -1. Solve 4*p + 0*k = -k - 8, 0 = -p + k + s for p.
-1
Let s(k) = -k**2 - 13*k - 35. Let h(g) = -4*g**2 - 8*g - 9. Let p be h(-2). Let y be s(p). Solve 2*n + 19 = -3*r, -n + r - 3 = -y for n.
-5
Let g(q) = -2*q. Let w(x) = -x**2 - x. Let i be w(-2). Let k be g(i). Solve -k*z + 5*n = -19, 3*z + 0*n = -4*n - 9 for z.
1
Let f = 177 - 174. Solve -5*x + 8*g - 5 = 3*g, 0 = -x + 5*g + f for x.
-2
Let f(o) = -o**2 + 10*o - 1. Let r be f(7). Let g = 27 - r. Solve 4*n - 4*u = -12, -2*n - 2*u = 3 + g for n.
-4
Suppose -5*m - 4*l = -105, 2*m + 3*l = l + 42. Solve 6*k - m = -5*f + 3*k, 0 = 5*f - k - 13 for f.
3
Let c = 35 - 43. Let p be ((54/15)/3)/(c/(-20)). Solve -z - 4*y + 15 = 0, y + 12 = p*z + 2*y for z.
3
Let q be 1 + (28/(-7) - (-1 + -2)). Solve u + q*o = o + 3, -2*u + 5*o = -6 for u.
3
Suppose -15*k = -213 + 33. Solve 3*g = -4*s + 8 + k, s - 5 = -5*g for g.
0
Let c be (-8)/36 + ((-94)/(-18))/1. Suppose 3*y = -c*g + 25, 0 = -2*g - 2*y + 3 + 11. Solve 0 = 2*z + 2*z - g*u - 4, -u = 2*z - 2 for z.
1
Let b = 548 - 543. Let m = 10 + -5. Solve b*n - 35 = 5*k, 2*k + 3*n - 2*n = -m for k.
-4
Let p = -5 - -3. Let y be (-2)/(-4) - p/(-4). Suppose 21*d = 13*d + 40. Solve d*w - 3*u + 2 - 8 = y, 4*w - 3*u - 6 = 0 for w.
0
Let q(t) = 23 + 3*t - 5*t - 9 + 3*t. Let u be q(-8). Solve -4*w - 2*z = u, 3*z = 3*w - 0*w for w.
-1
Suppose -2*p - 29 = -5*c - 89, 0 = -c + 5*p + 11. Let s be (-2 - -5) + 7/(c/(-4)). Solve 0*t - 20 = s*t, 2*o + t + 2 = 0 for o.
1
Let y(w) = -w**3 - 9*w**2 - 14*w + 6. Let j be y(-7). Solve -5*b - 4*q = -j, 2*q + 3*q - 10 = -5*b for b.
-2
Suppose 2*z + 24 = -0*z. Let u be (z/(-36))/((-1)/(-9)). Solve u*l + a + 3*a = 27, 3*l - a = 12 for l.
5
Let r(l) = -l**3 + 7*l**2 - 10*l + 26. Let w be r(6). Suppose 0 = -w*p - 5*p + 140. Solve -d - 3*d + p = -5*k, k - d = -4 for k.
-4
Let z = -4 - -4. Solve -5*n - a - 12 = z, -n + 15 = -4*n + 2*a for n.
-3
Suppose r = 5*p + 23, p = 3*r + 5*p + 7. Let w be r*14/6 + -2. Solve -l - 2 = 0, w*l - 4*l = -4*s - 22 for s.
-5
Let r = 41 - 19. Let j(h) = -28*h + 47. Let o be j(-4). Let c = o - 154. Solve -2*l = 3*m + r, c*l - 7 + 32 = 0 for m.
-4
Let o(k) = -4*k + 1. Let x be o(-3). Solve -9 = 4*r - r, 3*r + x = l for l.
4
Let n be 10/(-65) - 10/(-65). Solve 4*c + 2*u = -20, -c + 5*c - 5*u + 6 = n for c.
-4
Let y = -34 - -46. Let o be 3/y + 417/12. Let m be (-7)/o + (-11)/(-5). Solve -u - 24 = 3*x + m*u, -5*u = 15 for x.
-5
Let v be -1*((-4)/1)/2 - -1. Solve -24 = -5*g + 4*z, v*g + 0*g = z + 13 for g.
4
Suppose 15*n = 11*n + 12. Solve -5*b + b = 4, -n*m - 5 = -b for m.
-2
Let z(k) = k**3 - 9*k**2 + 3. Let p be z(9). Solve -g - b = -p, b - 2 = -3 for g.
4
Let w be (3/(-6))/(2/(-12)). Suppose -4*d = -n + 15 + 1, -d - w = 0. Solve -3*y - 2 = 3*v + 1, 5*v = 4*y + n for v.
0
Let b be -2*((-987)/294 - (-6)/7). Solve -2*o - o = -5*w + 35, b*o = -5*w - 5 for w.
4
Let b = 92 + 2. Let c be -1 - b/(-18) - 56/252. Let x be (-1)/2 + 87/6. Solve -y = 7*h - 3*h - 1, -2*h + x = -c*y for y.
-3
Suppose -4*a - 20 = -14*a. Solve x + 5*v - 3 = a, -2*v + 25 = 5*x for x.
5
Suppose 0 = 3*s - 2*s + 4*i
|
{
"pile_set_name": "DM Mathematics"
}
|
tors of 65 + (-3 - b)*v?
2, 17
Let r = -6 + 12. Let j = -3 - r. List the prime factors of ((-4)/3)/1*j.
2, 3
Let i(k) = -k**3 - 6*k**2 + k + 9. Suppose -6*l = -6 + 42. What are the prime factors of i(l)?
3
Suppose 0*j - 5*j + 6795 = -4*x, 2*x - 1373 = -j. List the prime factors of j.
29, 47
Let f = 154 + -88. Let u be f/9*12/(-8). List the prime factors of -3 - ((1 - -2) + u).
5
Suppose -3*r + 2*c = -2*c + 14, -c + 15 = 5*r. Suppose -d - z - r*z + 3 = 0, d + 5*z = 3. What are the prime factors of 19 - ((-3)/d - -4)?
2
Let t be 6/((16/684)/2). Suppose t = -d + 10*d. What are the prime factors of d?
3, 19
Suppose d + 120 = 43. Let j = -34 - d. What are the prime factors of j?
43
Let o be (5/((-140)/(-8)))/(2/14). Suppose 0 = 5*m - o*m - 390. What are the prime factors of m?
2, 5, 13
Suppose -z + 4*v = z - 62, -5*v = -z + 16. Suppose 6 = -2*q, -170 = -3*h - 3*q - z. What are the prime factors of h?
2, 23
List the prime factors of 29926/12 + (1 - (-10)/(-12)).
2, 29, 43
Suppose -284 = -3*q + 97. Let o = q + -81. List the prime factors of o.
2, 23
Let q(o) be the first derivative of 29*o**3/3 + o**2/2 + o + 9. List the prime factors of q(-1).
29
Suppose -3*g = 2*l + 6, -3 = l - 0*g - 2*g. Let h(k) = k**3 + 4*k**2 + 2*k + 1. Let o be h(l). Let p = o + 57. List the prime factors of p.
61
Suppose 0 = 3*r + 3*t - 3111, 18*r = 17*r - 2*t + 1035. What are the prime factors of r?
1039
Suppose -1624 - 58 = -2*k. List the prime factors of k.
29
Let p be -2 + 3 + (-194)/(-1). Suppose 0 = -w + 4*w - p. What are the prime factors of w?
5, 13
Let v = -4 + 6. Let m be (v/(-6))/(3/(-36)). Suppose -w = -m*w + 93. List the prime factors of w.
31
Let f be 58/(-12) - 7/42. What are the prime factors of (-6)/(-15) - 493/f?
3, 11
What are the prime factors of ((-396)/30)/((-21)/1610)?
2, 11, 23
List the prime factors of (-20)/(-50) + 2536/10.
2, 127
Suppose 8*t - 6*t = 0. Let x(c) = c**3 - c + 110. Let s be x(t). Suppose 9*b = 4*b + s. What are the prime factors of b?
2, 11
Suppose -522 = 22*o - 46392. What are the prime factors of o?
3, 5, 139
Let i = -57 + 63. Suppose -2*u + 3*k + 108 = -15, 3*u - 207 = -3*k. What are the prime factors of i/(-3 - u/(-20))?
2, 5
Let b be (-3)/(-36)*141*4. Let r = -28 + b. Suppose 0 = -21*c + r*c + 6. List the prime factors of c.
3
Let b = 118 - 113. Suppose 0 = b*z - h - 1000, z + 4*h - 179 = -0*z. What are the prime factors of z?
199
Let j = -66 - -75. List the prime factors of j.
3
Let z be 14 - -99 - (-1 + -2). Suppose -5*m = -m - 2*h - 464, z = m - 3*h. Suppose 0 = 5*v - m - 119. List the prime factors of v.
47
Suppose -5*w - 4*i = -6535, -36*w + 3*i - 1307 = -37*w. List the prime factors of w.
1307
Suppose -5*n + 524 = -g, -2*g + 732 = 5*n + 205. List the prime factors of n.
3, 5, 7
Let d(w) = -w + 2. Suppose 3*a - 8*a - 15 = 0. Let o be d(a). Suppose -3*v + 96 = 4*h + v, -2*h + 63 = o*v. List the prime factors of h.
19
Suppose -5*z + 11 + 9 = 0. Let y = 0 + 0. Suppose 2*o + z - 10 = y. What are the prime factors of o?
3
Let o(p) = -29*p - 12. Suppose 4*d - 6*t + 20 = -t, 4*d - 4*t + 24 = 0. What are the prime factors of o(d)?
2, 139
Let q(g) = 10*g + 5. Let t(i) = 10*i + 4. Let v(k) = 2*q(k) - 3*t(k). What are the prime factors of v(-6)?
2, 29
Suppose 0*x = -3*x - t + 729, 4*t = -3*x + 729. What are the prime factors of x?
3
Let p = -66 - -152. Suppose 2*b - 38 = 2*f + 50, 0 = 2*b - 4*f - p. What are the prime factors of b?
3, 5
Suppose 65*k - 64*k = 2. Let t(z) = 17*z - 5. What are the prime factors of t(k)?
29
Let z(s) = 50*s**2 - s + 15. Let r be z(-7). What are the prime factors of 2/(-11) - r/(-44)?
2, 7
Suppose 21*f + 3136 - 38605 = 0. What are the prime factors of f?
3, 563
Let m = 290 - 72. What are the prime factors of m/4*(-4)/(-2)?
109
Suppose 2*q - 14 = -4*r, 3*r - 3 = 3. Let n be 80 + q/(9/6). Suppose 2*j = 8 + n. List the prime factors of j.
3, 5
Let x(a) = -a - 1. Suppose -o - 10 = -2. Let w be x(o). Suppose -2*t = -w - 57. List the prime factors of t.
2
Suppose 63*f - 65*f = -4. Suppose -m + 5*m + 2*g - 40 = 0, 3*m + f*g - 30 = 0. What are the prime factors of m?
2, 5
Let w be -2*-6*(-3)/(-12). Suppose 0*o + 5*o + 300 = 0. Let p = w - o. What are the prime factors of p?
3, 7
Let t = 853 + -499. List the prime factors of t.
2, 3, 59
Let y(s) = -264*s - 165. List the prime factors of y(-8).
3, 11, 59
Let t(b) = -92*b**3 - 2*b**2 + 16*b + 36. What are the prime factors of t(-2)?
2, 3, 61
Let w(r) be the second derivative of -r**6/360 - r**5/8 - r**4/6 - 12*r. Let q(n) be the third derivative of w(n). List the prime factors of q(-14).
13
Suppose -5*n = -3*t + 5*t, -4*n = -2*t. Suppose 3*g + 0*x = 4*x + 92, 3*x + 6 = t. What are the prime factors of g?
2, 7
Suppose -12*h + 1194 = -10*h. List the prime factors of h.
3, 199
Let s = 6535 + -4546. List the prime factors of s.
3, 13, 17
Let d(h) = -11 + 4*h**2 + 12 - h - 3*h**2. Let a(t) = t**3 - 7*t**2 + 9*t + 5. Let c(n) = -a(n) + 5*d(n). List the prime factors of c(10).
2, 3, 5
Let q = 66 - 54. Suppose 1312 = -4*w + q*w. List the prime factors of w.
2, 41
Let q(f) be the second derivative of f**5/20 - 2*f**4/3 - f**3 - 5*f**2 - 9*f. List the prime factors of q(9).
17
Let q = 2218 - 1331. What are the prime factors of q?
887
Let n be (11 + -9)/(2*-1). Let r be (-232 + n)/(-5 + 4). Suppose 0 = -5*c - 25, 4*j - 2*c - r + 79 = 0. List the prime factors of j.
2, 3
Suppose 0*n = 2*n + 42. Let r = n + 40. What are the prime factors of (0 - 0)/(-3) + r?
19
Let p be (-1 + 0/(-1))*7. Let v(c) = c**2 + 2*c + 7. What are the prime factors of v(p)?
2, 3, 7
Let k be -1 - (4 + (-8)/1). Suppose -2*o = 6*y - 3*y - 15, 3*y = k*o. Suppose -2*p = -y*w + 139, 2*w - 70 - 32 = -p. What are the prime factors of w?
7
Let s = 1021 - 690. List the prime factors of s.
331
Let n(m) = 96*m - 8. What are the prime factors of n(1)?
2, 11
Let j be (-1)/(-3) + (-56)/42. Let k = 16 + j. Let d = k + -11. List the prime factors of d.
2
Let j(n) = 2*n - 15*n**2 + 9 + n**3 - 4*n - 5*n - 7*n. What are the prime factors of j(16)?
41
Let n(x) = 2*x - 11. Let o be n(-8). Let d = -5 - o. What are the prime factors of d?
2, 11
Let h = 32 + -36. Let o(a) = -18*a - 14. List the prime factors of o(h).
2, 29
Suppose 0 = 2*j + 4*y - 1148, -8*j + 3*y = -12*j + 2301. What are the prime factors of j?
2, 3
Let u be -2*(-1)/(-2) + -1. Let m be (8/14)/(u/(-7)). Suppose -4*t + m*t + 36 = 0. What are the prime factors of t?
2, 3
Let x(a) = 60*a - 4. Let n be x(2). Let s = n - 66. What are the prime factors of s?
2, 5
Suppose 0 = 2*z + 2*b - 4280, z - 7*b + 4*b = 2132. List the prime factors of z.
2, 1069
Suppose 5*b - 5 - 10 = d, 3 = 2*b - d. Suppose 3*h - b*n = 219, -6 - 9 = -5*n. Suppose -h = -m - 3. What are the prime factors of m?
2, 37
Let f(o) = -o - 2. Let s be f(4). Let w be ((-8)/s)/((-4)/6). What are the prime factors of (w + 31)*(-1)/(-1)?
29
Suppose 18*q - 9009 = 12375. List the prime factors of q.
2, 3, 11
Let m = -47 - -55. Suppose m*o = 4*o + 176. What are the prime factors of o?
2, 11
Suppose -2272 - 274 = -2*p. List the prime factors of p.
19, 67
Let p(i) = 35*i**2 + i + 2. Let n be p(3). Let h = -220 + n. List the prime factors of h.
2, 5
Let t = 10249 - 5487. What are the prime factors of t?
2, 2381
Suppose 35 = 2*w + 9. Let k(h) = -h**3 + 12*h**2 + 13*h + 24. List the prime factors of k(w).
2, 3
What are the prime factors of ((-40)/24)/(-5) - (-1064)/3?
5, 71
Suppose -5*b + 37 + 38 = 0. Suppose w - b = 33. List the prime factors of w.
2, 3
Suppose -2*f = -7*f - 395. Suppose -59*b + 51*b = -1048. Let p = b + f. List the prime factors of p.
2, 13
Suppose -4*o = o - 520. Suppose -3*f = x - 0*x - o, 3*f = -15. List the prime factors of x.
7, 17
Let b(d) = d**2 + 4. Let a be b(0). Suppose -a*f = -4*z + 256, -2*z = -3*z - 5*f + 88. List the prime factors of z.
2, 17
Let b = -14 + 20. Let d(v) = 9*v + 11. What are the prime factors of d(b)?
5, 13
Let n(o) = -o - 10 - 1 + 2. Let f be n(-4). What are the prime factors of (160/(-3))/f*3?
2
Suppose -689 = -4*f - 5*w, -f - 9*w + 191 = -4*w. What are the prime factors of f?
2, 83
Let n(j) = 174*j**2 + 21*j - 47. List the prime factors of n(4).
7, 13, 31
Let f(l) = -13*l - 2. Suppose -3*w = 15, -2*a - 2*w - 25 = 3*a. Let i be 1 + a - (-1 + 1). List the prime factors
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{
"pile_set_name": "DM Mathematics"
}
|
ppose 16/11 - g*s - 4/11*s**2 + 2/11*s**3 = 0. What is s?
-2, 2
Let p(d) be the first derivative of -d**6/2 - 33*d**5/5 - 15*d**4/2 + 106*d**3 - 399*d**2/2 + 147*d + 14459. Factor p(l).
-3*(l - 1)**3*(l + 7)**2
Let n(k) = 6*k**2 + 223*k + 49. Let q(t) = 17*t**2 + 891*t + 193. Let f(b) = 9*n(b) - 2*q(b). Factor f(s).
5*(s + 11)*(4*s + 1)
Let b be ((-981 - -990) + 79/(-9))*3. Factor -6*r + b*r**3 - 34/9*r**2 - 14/9.
2*(r - 7)*(r + 1)*(3*r + 1)/9
Factor 41/4*a**3 + 49/4*a - 1 - 43/2*a**2.
(a - 1)**2*(41*a - 4)/4
Let p(r) be the third derivative of -1/12*r**5 + 1/12*r**4 + 1/30*r**6 + 0*r + 29*r**2 - 1/210*r**7 + 0 + 0*r**3. Find z such that p(z) = 0.
0, 1, 2
Let a(h) be the second derivative of -h**5/4 + 80*h**4/3 + 325*h**3/6 + 2*h + 214. Factor a(n).
-5*n*(n - 65)*(n + 1)
Let b(f) be the third derivative of f**6/120 - 17*f**5/60 - f**4/24 + 17*f**3/6 + 11*f**2 + 10. What is u in b(u) = 0?
-1, 1, 17
Let v(j) be the third derivative of j**7/210 + j**6/45 - 23*j**3/3 + 4*j**2 + 2*j. Let a(g) be the first derivative of v(g). Factor a(z).
4*z**2*(z + 2)
Let q = 332 + -471. Let w be (q/(-45) - 3)/((-48)/(-72)). Suppose -4/15*v - 2/15*v**4 + 4/15*v**3 + w*v**2 + 0 = 0. Calculate v.
-1, 0, 1, 2
Let g(h) be the third derivative of -h**7/420 + h**6/180 - h**5/360 - 1657*h**2. What is o in g(o) = 0?
0, 1/3, 1
Let q(m) be the third derivative of 0*m**3 + 1/6*m**4 + 0 + 48*m**2 - 3/10*m**5 + 4/105*m**7 + 0*m + 1/20*m**6. Find h, given that q(h) = 0.
-2, 0, 1/4, 1
Factor 126/5*n**2 + 246/5 - 371/5*n - 1/5*n**3.
-(n - 123)*(n - 2)*(n - 1)/5
Let x(q) be the second derivative of -3/20*q**5 - 212*q + 8*q**3 + 13/4*q**4 + 0 - 42*q**2. Let x(j) = 0. What is j?
-2, 1, 14
Let f(q) be the third derivative of 4/105*q**7 + 0*q**3 + 0*q**4 + 1/15*q**6 - 2*q + 0*q**5 + 9*q**2 + 1/168*q**8 + 0. Factor f(y).
2*y**3*(y + 2)**2
Let k(r) be the first derivative of -54 + 1/2*r**2 + 2/3*r + 1/9*r**3. What is s in k(s) = 0?
-2, -1
Let l(q) be the second derivative of q**4/72 + 145*q**3/18 + 286*q**2/3 + 5449*q. Suppose l(t) = 0. Calculate t.
-286, -4
Let c(g) be the second derivative of -243/2*g**2 + 0 + 67*g + 9*g**3 - 1/4*g**4. Factor c(h).
-3*(h - 9)**2
Determine a so that 25921/9 + 320/9*a**3 + 8426/3*a**2 - 51520/9*a + 1/9*a**4 = 0.
-161, 1
Let h = 1155 - 824. Determine i so that 331*i**2 + h*i**2 - 2 - 660*i**2 - 2*i + 2*i**3 = 0.
-1, 1
Let d = -13626 - -13629. Let i(z) be the third derivative of -1/40*z**6 + 29*z**2 + 0 + 0*z + 5/24*z**4 - z**d + 2/15*z**5. Solve i(k) = 0.
-1, 2/3, 3
Determine p, given that -28/9*p**2 + 2*p + 2/9*p**3 + 72 = 0.
-4, 9
Suppose 30 = 7*d - 54. Let 109*i**4 + 79*i - 5 + 244*i**3 + 102*i**2 - d*i**5 - 6 - 111*i = 0. Calculate i.
-1, -1/4, 1/3, 11
Let n(u) be the first derivative of 88 + 49/5*u**2 - 2401/5*u - 1/15*u**3. Let n(w) = 0. What is w?
49
Let q(x) be the second derivative of x**5/40 + 7*x**4/12 + 4*x**3 + x + 3191. Factor q(a).
a*(a + 6)*(a + 8)/2
Let b(i) = 32*i**4 + 257*i**3 - 743*i**2 - 626*i - 7. Let g(m) = -10*m**4 - 86*m**3 + 248*m**2 + 208*m + 2. Let n(f) = 2*b(f) + 7*g(f). Let n(q) = 0. What is q?
-17, -2/3, 0, 3
Suppose -100*x - 32046*x**3 + 198*x**2 - 2*x**4 + 64013*x**3 - 32063*x**3 = 0. Calculate x.
-50, 0, 1
Let t(a) = -168*a**2 - 5380*a - 126. Let n be t(-32). Let -1/4*l**n + 7/4*l + 15/2 = 0. Calculate l.
-3, 10
Let l(h) be the second derivative of -1/50*h**5 + 3/10*h**4 + 0 - 129*h + 2/3*h**3 + 0*h**2. Let l(k) = 0. Calculate k.
-1, 0, 10
Factor -2824/5 - 2/5*b**2 + 2826/5*b.
-2*(b - 1412)*(b - 1)/5
Let s(m) be the third derivative of 0 + 0*m + 0*m**4 + 33*m**2 - 1/360*m**6 + 0*m**3 - 1/9*m**5. Factor s(z).
-z**2*(z + 20)/3
Let o(a) be the second derivative of a**6/210 + 13*a**5/70 - 19*a**4/28 - 13*a**3/21 + 4*a**2 + 150*a + 2. Find t, given that o(t) = 0.
-28, -1, 1, 2
Let x(v) be the third derivative of -v**7/210 + 17*v**6/60 - 29*v**5/12 + 687*v**2 - 4. Factor x(h).
-h**2*(h - 29)*(h - 5)
Let c(w) be the first derivative of 2*w**3/3 + 61*w**2 - 384*w - 4031. Determine z so that c(z) = 0.
-64, 3
Let y = -24 - -52. Suppose r + 10 + 7 = 4*s, y = s - 5*r. Factor -365 - 670*b**2 - 27*b**4 - 33*b**4 + 91*b**3 - 376*b**s + 5 - 5*b**5 - 780*b.
-5*(b + 2)**3*(b + 3)**2
Solve -9*n**3 - 31*n**3 + 100*n**2 - 945*n**4 + 940*n**4 = 0.
-10, 0, 2
Let t(w) = -101*w**2 - 527*w - 100. Let q be t(-5). Let a = 445/2 - 216. Let a*p**3 - p**2 + 0*p + 0 - q*p**4 + 9/2*p**5 = 0. What is p?
0, 2/9, 1
Let m = 332 - 332. Let y(t) be the second derivative of -1/22*t**4 + 0 + 4/11*t**2 + 16*t + m*t**3 - 1/110*t**5. Suppose y(s) = 0. What is s?
-2, 1
Let a(q) be the first derivative of 5/3*q**3 - 25/2*q**2 + 30*q - 31. Suppose a(m) = 0. Calculate m.
2, 3
Let p be 22372/(-3290) + (-112)/(-15). Factor 14/3*k**4 + 0*k + 10/3*k**2 - 22/3*k**3 + 0 - p*k**5.
-2*k**2*(k - 5)*(k - 1)**2/3
Let j(c) = -c**3 - 23*c**2 - 18*c - 20. Let m be j(-14). Let u = -13750/9 - m. Factor 8/9 + 22/9*z**2 - u*z + 8/9*z**3.
2*(z - 1)*(z + 4)*(4*z - 1)/9
Factor -8/11*p + 2/11*p**3 + 0 + 0*p**2.
2*p*(p - 2)*(p + 2)/11
Factor 226/11*b - 224/11 - 2/11*b**2.
-2*(b - 112)*(b - 1)/11
Solve 14*g**3 + 30*g**2 - 35*g - 5*g**5 + 26*g**3 + 375 - 405 = 0.
-2, -1, 1, 3
Suppose -3*d + 5*a + 43 = 0, 3*d - 2 = -4*a - 4. Suppose 0 = -d*h + 41 - 17. Find w, given that -2*w + 8*w - h*w - 2*w**3 - 8 + 8*w**2 = 0.
-1, 1, 4
Factor 1/2*y**2 + 1605/2*y + 0.
y*(y + 1605)/2
Suppose 79*q - 26 = -5*v + 77*q, 3*q - 18 = 3*v. Let 34/3*i - 8/9*i**v + 26/9 = 0. Calculate i.
-1/4, 13
Let t = -6035 + 6038. Let n(b) be the third derivative of -2/27*b**t - 13*b**2 + 1/180*b**6 + 0*b + 2/135*b**5 + 0 - 1/108*b**4. Suppose n(u) = 0. What is u?
-1, 2/3
Let d = -267306 + 267306. Factor -3/7*r**3 - 3/7*r**4 + 0 + 6/7*r**2 + d*r.
-3*r**2*(r - 1)*(r + 2)/7
Let c(p) be the third derivative of p**8/36 + 68*p**7/315 + 47*p**6/90 + 4*p**5/9 - p**2 + 73*p - 3. Suppose c(o) = 0. Calculate o.
-20/7, -1, 0
Let w(u) be the first derivative of 121*u**6/720 + 11*u**5/20 + 3*u**4/4 - 19*u**3 + 24. Let h(b) be the third derivative of w(b). Factor h(n).
(11*n + 6)**2/2
Let s(a) be the third derivative of 5 + 0*a - 31/156*a**4 + 7/390*a**5 + 4/13*a**3 + 2*a**2. Suppose s(g) = 0. Calculate g.
3/7, 4
Let j = 516 - 514. Let h be (4/12)/(j/12). Solve 26/5*r**h - 12/5 + 18/5*r**4 + 34/5*r - 66/5*r**3 = 0.
-2/3, 1/3, 1, 3
Factor -638991*s**2 - 550 - 55*s**3 + 53*s**3 + 638917*s**2 - 622*s.
-2*(s + 1)*(s + 11)*(s + 25)
Let l(x) = x**3 + 5. Let d(r) = 165*r**3 + 1066*r**2 + 316*r + 4. Let k(q) = -3*d(q) - 12*l(q). Suppose k(z) = 0. Calculate z.
-6, -2/13
Let b(h) = 445*h + 133945. Let f be b(-301). Factor f - 26/17*g + 2/17*g**2.
2*g*(g - 13)/17
Suppose 0 = -12*p + 11*p + 323. Suppose 4*y + 0*y + p = 3*t, -t - y + 96 = 0. Find b such that -t*b - 4*b**2 + 53*b + 48*b + 16 = 0.
-2, 2
Let u = -7 - -10. Suppose 5*h - 10*f = -5*f + 15, -5*h - 5*f = -5. Factor -u*b**2 - h*b**2 - 45 - 8*b + 4*b + 34*b.
-5*(b - 3)**2
Factor -274/3*s - 184 + 1/3*s**2.
(s - 276)*(s + 2)/3
Let y(g) = g**3 - 12*g**2 + 11*g - 3. Suppose -45*i + 40*i + 15 = 0. Let z(w) = -4*w**3 + 60*w**2 - 56*w + 14. Let s(n) = i*z(n) + 14*y(n). Factor s(u).
2*u*(u - 1)*(u + 7)
Let j(y) be the second derivative of y**4/3 + 668*y**3/3 + 1328*y**2 + 4140*y. Let j(v) = 0. Calculate v.
-332, -2
Let w(k) be the first derivative of -k**4/4 + 199*k**3/4 - 11025*k**2/4 - 16875*k/4 - 1649. Factor w(m).
-(m - 75)**2*(4*m + 3)/4
Solve 1/4*j**3 + 12 + 10*j + 11/4*j**2 = 0 for j.
-4, -3
Let x(b) = 1543*b - 1585*b - 3*b**2 + 59 - 204. Let l(j) be the first derivative of -j + 4. Let p(f) = -2*l(f) - x(f). What is y in p(y) = 0?
-7
Let k = 81256 - 568774/7. Suppose -k - 12/7*n**2 + 75/7*n = 0. Calculate n.
1/4, 6
Factor -22*f - 18*f - 2*f - 72 + 64*f + 8*f - 3*f**2.
-3*(f - 6)*(f - 4)
Suppose o + 4*r = -854, -878 = 12*o - 11*o - 4*r. Let h = -834 - o. What is z in -h - 1/2*z**2 + 8*z = 0?
8
Let o(i) be the second derivative of i**4/24 + 10*i**3/3 + 351*i**2/4 + 14142*i. What is w in o(w) = 0?
-27, -13
Let w(g) = 2*g**5 + 7*g**4 - 9*g**3 - 19*g**2 - 3*g + 7. Let o(l) = -l**4 - l**3 + l**2 - l - 1. Let k(v) = -10*o(v) + 2*w(v). Let k(f) = 0. Calculate f.
-6, -1, 1
Let s be (2/4)/((-149)/(-1490)). Let g(z) be the second derivative of 1/110*z**s + 0 + 1/11*z**4 + 4/11*z**3 + 8/11*z**2 + 4*z. Factor
|
{
"pile_set_name": "DM Mathematics"
}
|
5*n + 4. Let r be a(5). What is the highest common factor of 44 and r?
4
Suppose 2*a + 440 = 6*a. Let p = -15 - -25. What is the greatest common factor of a and p?
10
Suppose 0 = 3*f + 11 - 2. Let s be 14/(-1)*9/(-6). Let k = s + f. Calculate the highest common factor of k and 27.
9
Let g(x) = -3*x - 2. Let n be g(-3). Let h be (-2)/n - (-8)/28. Let w be h - -16 - 0/(-1). Calculate the highest common divisor of w and 4.
4
Let f(o) = 27*o**2 + 2. Let n be f(2). Calculate the greatest common factor of 10 and n.
10
Let y(t) = t**2 + t - 5. Let i be 0 + 1 - 2 - -5. Let z be y(i). Let k = 30 - z. Calculate the highest common divisor of k and 6.
3
Suppose -4*o + 12 = -0*o. Suppose -15 = o*c, c - 2*c = -4*j + 113. Let h be (1/(-1))/((-1)/9). Calculate the highest common divisor of j and h.
9
Suppose 3*a + 114 - 309 = 0. What is the highest common factor of 26 and a?
13
Let g(y) = 2*y**2 + 9*y + 10. Let q be g(-6). Suppose 13 = -3*z + 34. Calculate the highest common factor of q and z.
7
Let c = 51 + 66. Let y = -34 + 23. Let i = y - -24. Calculate the greatest common factor of c and i.
13
Let o = 62 - 38. What is the greatest common divisor of o and 12?
12
Let h(i) = i**3 - 4*i**2 + 4*i + 4. Let u be 10/2 - (0 + 1). Let v be h(u). Let c = v - 8. What is the highest common divisor of 96 and c?
12
Suppose -4*p + 334 = -2*d + 76, -3*p + 188 = 4*d. Let v = -36 + 52. Calculate the highest common factor of v and p.
16
Suppose 103 = 2*t - 167. What is the greatest common divisor of 27 and t?
27
Let f be (-24)/10 + (-2)/(-5). Let p be -17*(1 + f)*1. What is the greatest common divisor of 170 and p?
17
Suppose -30*l + 231 = -129. Suppose -p + 2*w = -8, 14 = -p + 2*p + w. What is the greatest common factor of p and l?
12
Let m be (42/(-8))/(-7) - 61/(-4). Calculate the highest common divisor of 40 and m.
8
Let a be 5*(-2)/(-4)*2. Let w be (-3)/(-15) + 114/a. What is the greatest common factor of w and 230?
23
Let r(n) be the second derivative of -n**4/12 - 7*n**3/6 + n**2/2 - 2*n. Let k be r(-6). Calculate the highest common divisor of 56 and k.
7
Let g = -62 + 82. Calculate the greatest common factor of 220 and g.
20
Let y be (-8)/(-1 + 0 + 0). Let n = 2 - 6. Let c(a) = 4*a**2 - 2*a. Let g be c(n). What is the highest common divisor of y and g?
8
Let h(p) = 2*p**2 - 16*p - 15. Let z be h(13). Let o = -33 - -56. What is the greatest common factor of z and o?
23
Suppose -375 = -10*f + 225. What is the highest common divisor of f and 420?
60
Suppose -4*w + 396 = -2*v, -2*w - 4*v + 108 = -w. Let p = -2 - -5. Suppose 3*q = p*k - 69, 3*q = -5*k + q + 94. What is the highest common divisor of w and k?
20
Suppose -2*g + 60 = g. Suppose -2*k + k = -g. Calculate the highest common divisor of 220 and k.
20
Let f = 186 - 87. Let t be 3/9*78/2. Let l = t + -4. What is the highest common factor of f and l?
9
Let h(u) = u**2 - 9*u + 9. Suppose 0*m - 3*m = -27. Let v be h(m). What is the greatest common factor of v and 72?
9
Let y = -741 + 1473. Suppose 5*n - 279 = -2*a - 0*a, 0 = 5*a + n - y. Let c be ((-4)/6)/((-2)/a). Calculate the greatest common divisor of c and 7.
7
Suppose 4 = 3*q - s - 3, 5 = -5*s. Suppose 2*r - q - 2 = 0. Suppose -r = -v + 4. Calculate the greatest common divisor of 12 and v.
6
Suppose 0 = -2*v + 125 - 39. Suppose a = -j + 2 + 8, 4*a + 3*j - v = 0. What is the greatest common divisor of a and 13?
13
Let b be (9/15)/((-2)/(-10)). Suppose 2*k = -4*j, -4*j = -2*k - b*j + 10. Let s be 23/2 - 6/k. Calculate the highest common factor of s and 20.
10
Suppose 3*s = g - 5*g + 115, -s - 45 = -2*g. Let l(j) = -3*j - 3. Let q be l(4). Let a be (q/2)/(3/(-4)). Calculate the highest common divisor of g and a.
5
Let v(u) = 19*u**3 - 2*u**2 + 1. Let l be v(1). Suppose -2*c = -2*q + 246, -4*c - 366 = -3*q - 0*q. Calculate the greatest common divisor of q and l.
18
Let l(t) = -t**2 - 6*t - 2. Let q(n) = -n**2 - n - 4. Let b be q(0). Let v be l(b). Calculate the highest common divisor of v and 6.
6
Let j be (-30)/4*-2 + (-4 - -6). What is the greatest common factor of j and 221?
17
Suppose -4*f - i + 61 = 0, 2*f - 22 = -2*i + 10. What is the highest common divisor of f and 105?
15
Let b(z) = 5*z**2 - 2*z - 1. Let d be b(2). Suppose 0 = -2*u - 2*u. Suppose u = -3*m + d + 9. Calculate the highest common factor of m and 88.
8
Let z = -15 + 17. Calculate the greatest common factor of 14 and z.
2
Let l be -10*(-2 - (-8)/5). Let k = l + -3. Let i be 5 + (4/2)/k. Calculate the greatest common divisor of 35 and i.
7
Let k be 339/11 - 16/(-88). Suppose k = 4*g - 13. Calculate the greatest common divisor of g and 44.
11
Suppose 0 = 4*n + 4*y - 40, 4*n + 2*y = 5*y + 26. Suppose -n = -4*q + 76. Suppose 2*k + k = q. What is the highest common factor of 7 and k?
7
Suppose 0 = 5*u + 10, -54 = 4*i + 6*u - 3*u. Let q be (13/(-3) + 1)*i. What is the highest common divisor of q and 60?
20
Let g = 10 + -5. Suppose g*n + k - 4 = 0, n + 3*k + 3 = 1. What is the highest common divisor of n and 7?
1
Suppose -5*w + 6 = -4. Let g(j) = 2*j - 2. Let c be g(w). Suppose 3*h - 5*d - 36 = 0, -4*d + d = h + c. What is the highest common divisor of h and 14?
7
Let c(z) = z**2 - 10*z + 24. Let m be c(10). What is the highest common factor of 72 and m?
24
Let z = 37 - 27. Calculate the highest common factor of z and 2.
2
Suppose -5*w = -3*j + 101, j + 4*w + 4 = 32. Let q be (-2)/5 - (-42)/5. Calculate the highest common divisor of j and q.
8
Let x be (-128)/(-20) - (1 + (-6)/10). Calculate the highest common factor of 6 and x.
6
Let i(z) = z + 6. Let x be i(16). What is the greatest common factor of x and 2?
2
Suppose 3*x = -2*x + 855. What is the greatest common divisor of 19 and x?
19
Let t = 7 - -2. Calculate the greatest common factor of t and 36.
9
Suppose -7 - 133 = -5*r. Suppose 2*l - 9 = -1. Calculate the greatest common factor of r and l.
4
Suppose 3*h - 8*h = 0. Suppose -2*w - 10 = -h*w. Let a = w + 9. What is the highest common divisor of 4 and a?
4
Suppose -4*t = -20, -t + 219 = 4*j - 2*j. Suppose 37 = -5*k + j. Calculate the highest common divisor of k and 2.
2
Suppose -3*k = -2*n + 61, -n - 4*k = 4*n - 210. What is the highest common divisor of n and 304?
38
Suppose c - 2*b - 94 = 0, -c + 85 = -3*b - 8. Calculate the greatest common divisor of c and 24.
24
Let q(f) = 8 + 3*f**3 + 2*f**3 - 4*f**3 - 7*f**2. Let w be q(7). Calculate the highest common factor of w and 8.
8
Let f = -110 + 214. Let u be (-10)/14 + 6/(-21). Let p(o) = -14*o**3 - 2*o**2 + 1. Let l be p(u). Calculate the highest common factor of l and f.
13
Let a(t) = 4*t**3 + 2*t - 1. Let y be a(-3). Let w = y + 191. Suppose 20 - w = -4*k. Calculate the highest common factor of 14 and k.
14
Suppose -4*v - 416 = -3*i - i, 3*i - 314 = v. Let n be 71 + 0/1 - 1. Calculate the greatest common factor of i and n.
35
Suppose 2*p + 93 = 4*k + 305, -233 = -2*p - 3*k. Suppose 0 = -3*y - 3 + 6. Let f be 12 - (2 - 4/y). What is the greatest common divisor of p and f?
14
Suppose -5*r = -3*r. Let c(j) = j**2 + j + 20. Let n be c(r). Calculate the highest common divisor of 5 and n.
5
Let i = 56 + 6. Let l = -7 + i. Let r = 77 - 55. What is the highest common divisor of l and r?
11
Let b(z) = z + 42. Let n be b(0). Let x = 26 - 4. Suppose -5*i = -3*s + 37 + x, 0 = s + 5*i - 53. Calculate the greatest common divisor of n and s.
14
Let c be (-260)/(-16) - (-1)/(-4). Calculate the greatest common factor of 8 and c.
8
Let s(j) = -42*j - 3. Let t be s(-2). Suppose -12 = -3*g - 60. Let u = -7 - g. Calculate the greatest common factor of u and t.
9
Let h(g) = 5*g**3 + 1. Let j(p) = -6*p**2 - 7*p - p + 0*p**2 + 8 + p**3. Let a be j(7). Let t be h(a). What is the greatest common divisor of 4 and t?
2
Suppose 0 = -11*x + 57 + 108. Let d be (2 - 10)*(-30)/4. Calculate the highest common divisor of x and d.
15
Let y(p) = 3*p - 11. Let h be y(8). Let j = h - 9. Calculate the highest common divisor of j and 16.
4
Let x be (-48)/(-5)*20/6. Let z(w) = w**3 - 4*w**2 - 5. Let s be z(4). Let a be (6*-2)/(s/20). Calculate the greatest common factor of x and a.
16
Let z = 16 - 9. Let h = z + -1. Suppose 3*u + 3*i + i = 4, u - i - h = 0. Calculate the greatest common factor of u and 36.
4
Suppose 2*f - 145 = -3*f. Let w = f - 8. Calculate the highest common diviso
|
{
"pile_set_name": "DM Mathematics"
}
|
20).
0
Let c(j) = j**2 - 6*j + 11. Give c(6).
11
Let n(w) = 24*w + 91. Determine n(-3).
19
Let l(n) = 9*n**2 - 1. What is l(1)?
8
Let s(j) = -j**2 - 7*j - 8. Calculate s(-7).
-8
Let g(p) = -p**3 + 4*p**2 + 13*p - 21. What is g(6)?
-15
Let b(f) = 9*f + 1. Determine b(1).
10
Let h(z) = -2*z**3 - 12*z**2 - 13*z - 7. Calculate h(-5).
8
Let i(x) = 2*x**3 - 2*x**2 - 2*x - 1. Determine i(-2).
-21
Let s(i) = -i**2 - 8*i + 7. Give s(-9).
-2
Let i(m) = m**2 - 15*m - 2. Determine i(14).
-16
Let h(x) = -5*x - 4. What is h(6)?
-34
Let k(a) = -a**3 + 22*a**2 - 20*a - 16. Give k(21).
5
Let a(i) = 23*i**2 + 113*i + 12. What is a(-5)?
22
Let y(s) = -8*s + 86. Calculate y(11).
-2
Let m(u) = -u**2 + 13*u - 53. Calculate m(12).
-41
Let v(l) = -32*l - 18. Determine v(-6).
174
Let v(w) = w**3 + 5*w**2 + 2*w + 12. Calculate v(-5).
2
Let f(m) = -m**3 - m**2 + 3*m - 13. Determine f(-3).
-4
Let r(g) = -g**2 - 2*g. What is r(-4)?
-8
Let s(p) = -5*p + 107. Calculate s(20).
7
Let u(b) = 10*b + 23. What is u(-3)?
-7
Let p(f) = -2*f**2 - 22*f - 14. Determine p(-10).
6
Let b(x) = 3*x**2 + 7*x + 4. Calculate b(-2).
2
Let a(m) = 4*m - 37. Determine a(9).
-1
Let h(g) = -9*g**3 + g - 2. What is h(1)?
-10
Let v(x) = x**2 + 33*x - 201. Determine v(5).
-11
Let x(z) = -z + 5. Give x(8).
-3
Let z(n) = -9*n + 69. Calculate z(9).
-12
Let i(q) = q**3 - q**2 - 47. Calculate i(0).
-47
Let q(h) = h**2 - 9*h - 14. Give q(10).
-4
Let m(w) = -6*w + 2. Calculate m(5).
-28
Let g(h) = 7*h - 47. Give g(5).
-12
Let a(d) = d**3 - 6. Determine a(0).
-6
Let k(b) = 4*b - 45. Calculate k(9).
-9
Let x(i) = 17*i - 82. Calculate x(5).
3
Let y(b) = b**2 + 12*b + 1. Give y(-12).
1
Let t(q) = q**2 + 22*q - 114. Give t(-26).
-10
Let t(h) = h**3 + 4*h**2 + h - 2. Determine t(-3).
4
Let z(q) = -4*q**2 - q + 13. Determine z(2).
-5
Let l(a) = a**3 + 6*a**2 + 12*a + 16. Determine l(-2).
8
Let k(l) = -l**3 + l**2 - l + 8. Calculate k(0).
8
Let w(x) = -x**3 - 15*x**2 + 19*x + 59. Calculate w(-16).
11
Let y(l) = -7*l**2 + l + 4. What is y(-5)?
-176
Let d(g) = -g**2 + 3*g + 62. What is d(-7)?
-8
Let j(r) = 4*r**2 - 2*r. Calculate j(2).
12
Let s(h) = h**2 - h - 159. Calculate s(14).
23
Let k(m) = -7*m - 40. What is k(-6)?
2
Let d(f) = f**2 + 13*f + 24. Determine d(-11).
2
Let v(y) = 2*y**3 + 4*y**2 - y - 3. Determine v(-3).
-18
Let a(y) = 8*y + 42. What is a(-8)?
-22
Let j(c) = c**2 + 5*c - 182. Calculate j(11).
-6
Let d(o) = -2*o - 12. What is d(-4)?
-4
Let n(a) = -a**3 + 32*a**2 - 116*a + 97. Calculate n(28).
-15
Let x(c) = -c**3 + 12*c**2 - 12*c. Calculate x(11).
-11
Let x(f) = -2*f**2 - 10*f - 15. Calculate x(-6).
-27
Let h(t) = t**3 - 2*t**2 - 6*t + 4. What is h(4)?
12
Let k(c) = -6*c - 9. Give k(-4).
15
Let s(n) = 8*n - 7. Calculate s(6).
41
Let k(b) = -16*b - 49. Calculate k(-8).
79
Let s(m) = -m**2 - 29*m + 7. Determine s(-30).
-23
Let b(z) = 3*z - 4. Give b(2).
2
Let q(p) = 4*p**2 + 54*p + 2. Determine q(-14).
30
Let r(h) = -h**3 - 3*h**2 - 3*h + 4. Determine r(-3).
13
Let z(t) = t**3 + 2*t**2 + 3*t + 2. Give z(3).
56
Let o(j) = -29*j**2 + 1. Calculate o(1).
-28
Let k(i) = -i**3 - 3*i**2 + 5*i + 4. Determine k(-4).
0
Let y(r) = -r**3 + 22*r**2 - r + 1. Determine y(22).
-21
Let w(t) = 2*t**3 + 8*t**2 + t - 2. What is w(-3)?
13
Let v(g) = -4*g**2 + 6*g - 9. Calculate v(3).
-27
Let f(k) = 232*k + 473. Determine f(-2).
9
Let y(a) = -54*a**3 - a**2 - a + 2. What is y(1)?
-54
Let i(a) = -a**3 + 21*a**2 + a - 29. Calculate i(21).
-8
Let h(l) = -l**3 + 2*l**2 - 3. Calculate h(0).
-3
Let b(l) = l**3 - 15*l**2 + 13*l + 15. Determine b(14).
1
Let a(n) = -n**3 + 7*n**2 + 11. What is a(7)?
11
Let v(w) = -11*w - 79. Determine v(-6).
-13
Let b(n) = -n - 8. What is b(-7)?
-1
Let y(j) = -j**3 + 13*j**2 - 9*j + 10. What is y(12)?
46
Let t(r) = -r**2 - 5*r + 22. What is t(-7)?
8
Let s(a) = -a**3 + 3*a + 6. Determine s(-2).
8
Let m(c) = -5*c**2 + 2. What is m(1)?
-3
Let s(d) = -d - 1. Give s(-2).
1
Let c(b) = b**3 - b**2 + 3*b + 31. Give c(0).
31
Let i(f) = -10*f + 2. Calculate i(1).
-8
Let w(h) = 6*h - 8. Determine w(-17).
-110
Let y(v) = -v**3 + 22*v**2 - v + 21. What is y(22)?
-1
Let c(h) = -h**3 + 4*h**2 + 17*h + 5. Give c(6).
35
Let p(j) = -58*j - 14. What is p(0)?
-14
Let g(i) = -15*i - 357. Determine g(-24).
3
Let p(x) = -x**2 + 6*x + 10. What is p(9)?
-17
Let x(s) = -s**3 + 6*s**2 + 10*s + 29. Determine x(8).
-19
Let f(p) = p**3 + 67*p**2 + 191*p - 57. Give f(-64).
7
Let g(y) = 14*y**2 + 6*y - 16. Calculate g(2).
52
Let q(w) = -w**3 - 9*w**2 + 5*w + 25. Calculate q(-10).
75
Let u(a) = -3*a - 24. Give u(3).
-33
Let s(u) = u**2 - 14*u + 4. Calculate s(9).
-41
Let b(z) = z - 7. Give b(21).
14
Let v(x) = x**3 + 2*x**2 - 3*x + 4. Give v(-3).
4
Let i(z) = z - 12. Determine i(5).
-7
Let t(h) = -2*h + 33. Calculate t(16).
1
Let u(b) = -6*b - 1. Determine u(6).
-37
Let w(m) = -139*m + 562. Determine w(4).
6
Let i(n) = 2*n**3 + 14*n**2 + 13*n + 2. Give i(-7).
-89
Let y(c) = -22*c - 66. What is y(-3)?
0
Let s(y) = -y**3 + 23*y**2 + 27*y - 67. Determine s(24).
5
Let o(n) = 2*n - 16. Determine o(11).
6
Let i(n) = -2*n + 15. Give i(6).
3
Let l(y) = -y**3 - 10*y**2 - y - 5. Calculate l(-10).
5
Let i(p) = -p**2 - 20*p + 63. What is i(-22)?
19
Let g(d) = 338*d + 1356. What is g(-4)?
4
Let f(w) = 61*w**3 - w**2 - w + 2. What is f(1)?
61
Let h(r) = r**3 + 11*r**2 - 9*r + 4. Give h(-12).
-32
Let v(d) = 2*d**3 - 87*d**2 - 43*d - 40. Calculate v(44).
4
Let b(s) = -6*s**2 + 2*s + 2. Calculate b(-1).
-6
Let h(r) = -r**2 + 7*r - 15. What is h(8)?
-23
Let b(y) = y**3 + 3*y**2 - 16*y - 14. What is b(-6)?
-26
Let b(g) = -2*g**3 - 12*g**2 + 14*g + 9. What is b(-6)?
-75
Let b(f) = f**3 + 25*f**2 - 2*f - 42. Determine b(-25).
8
Let a(p) = -4*p + 11. Give a(-1).
15
Let k(q) = -q**3 + 16*q**2 + 19*q - 66. Determine k(17).
-32
Let h(s) = 4*s**2 + 4*s + 11. Give h(-3).
35
Let m(d) = 3*d**2 + 2*d + 2. What is m(-2)?
10
Let x(c) = 5*c**3 - 3*c**2 + 3*c - 5. Determine x(2).
29
Let a(k) = -2*k - 29. Determine a(-14).
-1
Let t(a) = 2*a + 57. Give t(-30).
-3
Let g(p) = -p**3 - 6*p**2 - 6*p + 8. Give g(-4).
0
Let t(m) = m**3 + 14*m**2 + 2*m + 20. Calculate t(-14).
-8
Let l(p) = p**2 - 24*p + 126. Give l(8).
-2
Let p(f) = -f**3 - 4*f**2 + 15*f + 2. Calculate p(-5).
-48
Let j(m) = -m**2 - 23*m - 135. Give j(-13).
-5
Let b(m) = 4*m - 5. What is b(-4)?
-21
Let x(r) = -59*r - 106. Calculate x(-2).
12
Let b(w) = 14*w - 68. Give b(6).
16
Let f(b) = -2*b**2 + 4*b + 27. Determine f(-3).
-3
Let m(c) = 13*c**2 - 55*c + 7. Give m(4).
-5
Let y(w) = w**3 + 16*w**2 + 2*w + 21. What is y(-16)?
-11
Let x(f) = -22*f**2 - 3*f - 2. Give x(-1).
-21
Let z(f) = f**3 + 5*f**2 + 12*f + 24. Give z(-3).
6
Let n(l) = l**3 - 11*l**2 + 10*l + 14. Give n(10).
14
Let b(y) = -y**3 + y**2 - 11. Give b(0).
-11
Let h(n) = -16*n - 77. Give h(-5).
3
Let n(g) = g**3 + 7*g**2 + g + 3. What is n(-7)?
-4
Let i(h) = -h**3 + 2*h**2 - h + 2. Give i(3).
-10
Let r(s) = s**3 + 2*s**2 + 2*s + 11. Determine r(0).
11
Let f(z) = z**3 - 16*z**2 + 13*z + 25. Determine f(15).
-5
Let u(q) = -q**3 + 14*q**2 - 12*q - 16. What is u(13)?
-3
Let b(q) = 3*q**2 - 30*q - 7. Calculate b(10).
-7
Let j(v) = -16*v**2 + v. What is j(1)?
-15
Let c(k) = -9*k - 23. Determine c(-8).
49
Let v(c) = -c**3 + 37*c**2 + 39*c - 22. Give v(38).
16
Let z(m) = -2*m**2 - 35*m - 9. What is z(-17)?
8
Let c(b) = b**3 + 8*b**2 + 8*b - 4. Give c(-6).
20
Let d(p) = p**3 - 24*p**2 + 6*p + 390. Calculate d(23).
-1
Let w(h) = 2*h**2 + h - 32. What is w(0)?
-32
Let c(y) = -y**3 - 22*y**2 + 72*y - 52. Give c(-25).
23
Let g(f) = -f**2 - 31*f - 122. Give g(-26).
8
Let h(j) = -4*j - 41. Calculate h(-14).
15
Let s(p) = p**3 + 5*p**2 - 10*p + 16. What is s(-7)?
-12
Let c(w) = -2*w**2 - 18*w - 32. Give c(-7).
-4
Let n(y) = 2*y**2 - 4. What is n(2)?
4
Let c(o) = -o**3 + o**2 + 2*o - 76. Give c(0).
-76
Let j(c) = -c**3 - 14*c**2 - 14*c + 12. Determine j(-13).
25
Let m(t) = -t + 35. Determine m(0).
35
Let z(q) = q**2 + 11*q - 10. What is z(-11)?
-10
Let p(j) = -19*j + 115. What is p(6)?
1
Let a(j) = -j**3 - 16*j**2 - 11*j + 2. Determine a(-15).
-58
Let c(i) = -3*i**2 - 4*i - 3. Determine c(-2).
-7
Let q(l) = l**2 - 24*l + 26. What is q(23)?
3
Let y(c) = 57*c + 224. Determine y(-4).
-4
Let r(z) = z**2 - 95. Calculate r(0).
-95
Let t(s) = s**2 - 5*s - 33. Calcul
|
{
"pile_set_name": "DM Mathematics"
}
|
*r**2 - 9. Calculate the remainder when a(5) is divided by 19.
15
Suppose 4 = 5*j - p, -2*j + 4 = j - p. Suppose j = -y + o + 51, -3*y + 2*y + 63 = 2*o. What is the remainder when y is divided by 19?
17
Suppose -z - w + 3*w + 8 = 0, -5*z + 5*w = -15. Let p be (-5)/2*(z + 0). Suppose p*t - 38 = 3*t. Calculate the remainder when t is divided by 5.
4
Suppose 5*d + 18 = 8*d. What is the remainder when 2/6 + 280/6 is divided by (d/(-9))/(1/(-24))?
15
Let c = 22 - 7. Suppose 3*u = c + 3. What is the remainder when u is divided by 2?
0
Let f be -1 + 1/(2/(-12)). Let g = -5 - f. Calculate the remainder when 2 is divided by g.
0
Let a = 18 + -25. Let i(j) = j + 8. Let n(h) = -h**2 + 6*h + 8. Calculate the remainder when i(a) is divided by n(7).
0
Let g be (((-12)/(-3))/(-2))/(-1). Suppose 5*s - g*s - 39 = 0. Calculate the remainder when 37 is divided by s.
11
Let b(u) = -u**3 - 5*u**2 - 3*u - 7. Let k be b(-5). What is the remainder when ((-2)/4)/(k/(-224)) is divided by 5?
4
Suppose -5*l + 3*p = -2*p - 690, -4*l + 552 = -2*p. Calculate the remainder when (3/(-2))/((-3)/l) is divided by 24.
21
Let l = 4 + -3. Suppose -q = -l - 1. Calculate the remainder when 4 is divided by q.
0
Let v(l) = -l**3 + 9*l**2 - 5. Let r be v(9). Let c(x) = -x**2 - 6*x + 4. What is the remainder when 16 is divided by c(r)?
7
Suppose 5*j + 49 - 219 = 0. What is the remainder when 66 is divided by j?
32
Let n(p) = -p**3 - 8*p**2 - 2*p + 9. Let b(w) = -w + 1. Let a be b(7). Let k(z) = z**3 + 5*z**2 - 9*z - 5. What is the remainder when n(-8) is divided by k(a)?
12
Suppose -5 = -4*f + 43. Suppose 2*p + 3*p = 165. Calculate the remainder when p is divided by f.
9
Let z be (-15)/(-10)*(-14)/(-3). What is the remainder when 20 is divided by (z/4)/(3/12)?
6
What is the remainder when 2 - 0 - (-111 - -5) is divided by 28?
24
Let d(f) = f + 4. Let b be d(3). Let v(x) = x**3 - 2*x + 1. Let m be v(2). Let g = m + b. Calculate the remainder when 35 is divided by g.
11
Calculate the remainder when -115*(2 - (-84)/(-30)) is divided by 33.
26
What is the remainder when (39/9 + 1)*(-6)/(-4) is divided by 5/((-1 - 1) + 3)?
3
Let u = 2 - 0. Suppose -u*w = -7*w + 70. Calculate the remainder when 25 is divided by w.
11
Let r = -136 - -501. Suppose 0 = -10*v + 5*v + r. Calculate the remainder when v is divided by (-1 - 0 - 0) + 20.
16
Suppose 8 = x + 1. Suppose -131 - 194 = -5*i. Suppose 2*n - x*n + i = 0. What is the remainder when 37 is divided by n?
11
Let j = 56 - 46. What is the remainder when 19 is divided by j?
9
Calculate the remainder when (-12)/4 + (-208)/(-2) is divided by 26.
23
Suppose -18*s + 22*s - 568 = 0. What is the remainder when s is divided by 18?
16
Let q be (-4)/4 + 0 - -3. Suppose -3*x + 23 = q*b - 19, 0 = -2*x + 3*b + 41. What is the remainder when x is divided by 9?
7
Suppose 4*f - 44 = -8. What is the remainder when 13 is divided by f?
4
Let l(v) = 119*v**2 - 1. What is the remainder when l(-1) is divided by 17?
16
Let h be (-2)/(-3) - (-813)/9. Let r = 53 - 105. Let b = h + r. Calculate the remainder when b is divided by 10.
9
Calculate the remainder when 33 is divided by (-100)/(-55) + -2 + 134/11.
9
Let o(m) = m - 16. Calculate the remainder when 15 is divided by o(19).
0
Suppose -4 - 141 = -5*u. Let p = u + -2. What is the remainder when p is divided by 7?
6
Suppose -4*r + 0*r + 40 = 0. What is the remainder when 17 is divided by r?
7
Let s be 2/8 + 7/(-28). Suppose s = -4*c + 16 + 8. Suppose 3*h = c + 24. What is the remainder when h is divided by 6?
4
Let q(s) = s**3 - 6*s**2 + 3*s - 5. Suppose -5*a = -a - 24. What is the remainder when 25 is divided by q(a)?
12
What is the remainder when (132/(-154))/((-6)/28) is divided by 3?
1
Suppose 0 - 2 = z, -3*z = -3*l + 30. What is the remainder when 22 is divided by l?
6
Suppose c + 8 = v, 3*c - 4 = -v + 6*c. Calculate the remainder when v is divided by 8.
2
Suppose r + n - 65 = 5*r, 4*r + 3*n = -61. Let x = 43 + r. Calculate the remainder when 53 is divided by x.
26
Suppose 0 = -5*m - 4*g + 89, 2*m - 3*g + 0*g - 54 = 0. Let l(k) = 9*k - 9. What is the remainder when l(10) is divided by m?
18
Suppose -4*l + 9*l - 11 = 3*h, 5*h + 4*l + 80 = 0. Let s = -8 - h. Suppose -6*k - 15 = -k, s*j + 2*k - 66 = 0. What is the remainder when j is divided by 10?
8
Calculate the remainder when (64 - 7) + (0 - (1 + -3)) is divided by 5.
4
Let r(t) be the second derivative of -11*t**3/6 + 5*t**2/2 + 8*t. Calculate the remainder when r(-6) is divided by 18.
17
Let o(h) = 26*h + 2. Let x(q) = 13*q + 1. Let r(k) = 3*o(k) - 5*x(k). Let s(p) = 2*p**2 - 12*p. Calculate the remainder when r(4) is divided by s(7).
11
Let l = 61 - 49. What is the remainder when 130 is divided by l?
10
Suppose -2*k + 3 = 11. What is the remainder when ((-114)/k)/(3/4) is divided by 13?
12
Suppose n + 3*r + 2*r - 42 = 0, -5*n - 5*r = -210. Calculate the remainder when n is divided by 9.
6
Let z(y) = -1 - y + y + 2*y. What is the remainder when z(7) is divided by 5?
3
Suppose 90 = 4*q + 5*q. What is the remainder when 27 is divided by q?
7
Let f(w) = 10*w**2 + 2*w - 1. Let p = 1 + 0. Calculate the remainder when f(p) is divided by (-2)/(-10) - (-38)/10.
3
Suppose -103 = -5*z + 127. Calculate the remainder when (9 + -5)*z/4 is divided by 12.
10
Let j be 0*(0 + 3/6). Let p = 10 + j. Calculate the remainder when p is divided by 2/((-6)/(-4) - 1).
2
What is the remainder when 23 is divided by (-7)/(2*(-3)/6)?
2
Suppose 16*a - 446 = -78. What is the remainder when 41 is divided by a?
18
Let o(k) = -k**2 + 3*k - 6. Let j(a) = -2*a**2 + 3*a - 5. Let s(m) = -2*j(m) + 3*o(m). Calculate the remainder when s(3) is divided by (-1)/(-3) + 34/6.
4
Suppose 0*c + 3*c = 12. Suppose c*g - 68 = 3*b, -4*g + 7 = 5*b - 61. Calculate the remainder when 32 is divided by g.
15
Let h(x) = 4*x - 4. Let g = -19 + 66. What is the remainder when g is divided by h(4)?
11
Let v(f) = 0*f**3 - 3*f**2 + 2 + 9*f**2 + 2 - f**3. What is the remainder when v(5) is divided by 10?
9
Suppose -2*a + 63 = -0*a + 5*m, 5*m + 70 = 5*a. What is the remainder when 55 is divided by a?
17
Suppose 6 + 249 = 5*j. What is the remainder when j is divided by 11?
7
Suppose 3*v - z = 5*v - 23, 5*v - 47 = z. What is the remainder when v is divided by (-5 + -1)*6/(-9)?
2
Let m(h) be the first derivative of -h**4/4 - 5*h**3/3 + 3*h**2/2 - 4*h + 1. Suppose 5*n - 54 = 3*n. What is the remainder when n is divided by m(-6)?
13
Calculate the remainder when 25*((0 - 0) + 1) is divided by 5.
0
Let p = 172 + -119. Let b(r) = -r**3 + 4*r - 3 + 3*r**3 - 8*r**2 + 0*r**2 + 3*r**2. What is the remainder when p is divided by b(3)?
17
Let q = 7 - 4. Calculate the remainder when 14 is divided by q.
2
Calculate the remainder when (11/22)/(((-6)/(-436))/3) is divided by 37.
35
Let r(x) = -34*x - 2. Calculate the remainder when r(-1) is divided by 17.
15
Suppose 4*h + 17 = p + 4, 3*p = h + 6. Let v(z) = 3*z**2 - 17*z - 40. What is the remainder when v(-3) is divided by (2 + (-32)/6)*h?
8
Suppose -4*t - 10 = -2*i, i + 17 = 4*i - 5*t. Let h = -11 + 25. Suppose 0 = -2*y + h + 18. Calculate the remainder when y is divided by i.
7
Suppose -5*k + 107 = 622. Let y = 62 + k. Let z = -23 - y. Calculate the remainder when z is divided by 10.
8
Suppose 8 = -5*n - 2, 3*m + n - 31 = 0. Calculate the remainder when m is divided by 8.
3
Let b be (-9)/6*(-222)/(-9). Let d = -25 - b. Calculate the remainder when 33 is divided by d.
9
Suppose -2*r = -14 - 8. Calculate the remainder when (13/3)/((-1)/(-6)) is divided by 6 + 0 + -3 + r.
12
Suppose -4*p = -2*j + 20 + 2, 0 = 4*p. What is the remainder when 42 is divided by j?
9
Let z = -42 + 70. What is the remainder when z is divided by (-42)/(-5) + 8/(-20)?
4
Let g be 2968/40 - (-2)/(-10). Suppose -s + g = s. Calculate the remainder when s is divided by 13.
11
Let v(b) = 4*b. Let o be v(1). Suppose -z = 3*z + o, -3*y + 4*z = -13. Calculate the remainder when y is divided by 3.
0
Suppose 0*n + 2*y = -5*n + 1266, 2*n = -4*y + 516. Let g = -177 + n. Suppose m - g = -4*m. Calculate the remainder when 43 is divided by m.
13
Suppose -11*t + 8*t = -84. What is the remainder when 111 is divided by t?
27
Suppose o - 116 = -3*o. Let n be (-248)/(-14) + 2/7. Let y = -8 + n. What is the remainder when o is divided by y?
9
|
{
"pile_set_name": "DM Mathematics"
}
|
6). Let t = x - -149. What is the tens digit of t?
5
Let i(d) = 14*d - 10*d + 222 - 25*d**3 + 26*d**3. What is the units digit of i(0)?
2
Suppose 5*f = 175 + 365. Suppose f = 6*y - 2*y. Suppose 0 = j - y - 13. What is the tens digit of j?
4
Suppose -77434 - 5922 = -14*k. What is the tens digit of k?
5
Suppose 3*u - 659 = -q, 4*u - 2264 - 396 = -4*q. What is the units digit of q?
8
Suppose -64*g = -68183 - 48873. What is the tens digit of g?
2
Let m = -14 - -20. Let o be 7/42 + (-313)/m. Let b = 5 - o. What is the units digit of b?
7
What is the units digit of (5604*1/(-8))/((-6)/28)?
9
Let s(q) = 11*q**2 + 2*q + 3. Let o be s(-2). Let g = o + 28. What is the units digit of g - 0/4 - -2?
3
Let o(j) be the first derivative of -3*j**4/2 - j**3/3 - j**2/2 - j - 3. Suppose -r = -3, 0*f - 2*r = -f - 7. What is the units digit of o(f)?
5
Suppose g + 3*g = -460. Let s = g - -182. What is the tens digit of s?
6
Let w(k) = 2*k - 2. Let a be w(1). Suppose g - 45 = 3*y, a = 4*g - 6*y + 3*y - 153. What is the tens digit of g?
3
Suppose -272 = 5*i - 1287. Suppose y + 6*v - i = 4*v, 5*v = y - 238. Suppose -4*l + 2*a + 217 - 55 = 0, 5*l = -a + y. What is the units digit of l?
2
Let s(m) = 13*m**3 + 2*m**2 - m. Let p(j) = 5 + 3*j + 3*j - 6*j - j. Let g be p(4). What is the units digit of s(g)?
4
Let y(d) be the second derivative of 31*d**3/6 - d**2 - 5*d. What is the units digit of y(1)?
9
Let p = -38 + 40. Suppose -p*d + 371 = 5*z, 0*d = 4*z - d - 289. What is the tens digit of z?
7
What is the tens digit of (-46)/(5/40*-1)?
6
Suppose -4*k + 4*w - w - 55 = 0, 0 = k + 2*w. What is the tens digit of (-85)/34*372/k?
9
Let w = 817 - 565. Suppose 27*x + w = 33*x. What is the tens digit of x?
4
Let l(z) = -38*z + 232. What is the hundreds digit of l(-32)?
4
Suppose 4*s = 3*y - 353, 0 = -y - 3*s + 30 + 92. Suppose 7 = -2*d + y. Suppose -4*h = -0*h - d. What is the units digit of h?
4
Let h(x) = x**2 + 3*x + 12. What is the tens digit of h(-4)?
1
Let q = -304 - -495. Let b = 322 - q. What is the hundreds digit of b?
1
Let t = 1094 - 599. Let x = t - 296. What is the tens digit of x?
9
Let j = 24 + -22. Let v be 0 + j - -3 - 1. Suppose -v*y = -2*y - 158. What is the tens digit of y?
7
Suppose -j + 10 = i, -j - 6 = i + 4*j. Let w(n) = n**2 - 7*n + 2. What is the hundreds digit of w(i)?
1
Suppose -149 = -4*b - 6*u + u, 0 = -3*u - 9. What is the units digit of b?
1
Suppose 622 = -11*a - 852. Let n = -109 - a. What is the tens digit of n?
2
Suppose -1482*g = -1476*g - 180. Let p = 1 + -1. Let n = p + g. What is the units digit of n?
0
What is the hundreds digit of 54/((-12)/16 - -1)?
2
Let j = -38 - -32. Let d be 0/(-3) + j/(-2). Suppose d = 3*f - 3*m - 108, 4*f - 3*m = 143. What is the units digit of f?
2
Suppose -18 = i + 5*t, -6*i + 12 = -5*i - t. Let f(p) = -p + 13. What is the units digit of f(i)?
6
Let y = 2503 + -1315. What is the tens digit of y?
8
What is the units digit of (-299316)/(-96) + (-5)/(-200)*5?
8
Let c(g) = 66*g**2 + g. Let j be c(1). Let n = j + -47. Suppose -r = 0, 0*r + n = 5*d + 3*r. What is the units digit of d?
4
Let p = 8 + -71. Let t = 107 + p. Let g = t - 15. What is the tens digit of g?
2
Let u(v) = 473*v**3 - 3*v**2 + 9*v - 23. What is the thousands digit of u(2)?
3
Let q = 675 - 423. What is the units digit of q?
2
Suppose 2*i - 5*j + 23 = -2*i, 5*j = 3*i + 21. What is the units digit of i/((-6)/15) + -3?
2
Suppose -8*l - 5*l = -5174. What is the hundreds digit of l?
3
Let b(r) = r**2 + 19*r + 901. What is the tens digit of b(0)?
0
Let b = 27 + -20. Let j = 9 - b. Suppose -j*f = 2*y - 32, -2*y + 3*f - 12 = -3*y. What is the tens digit of y?
1
Suppose 4*i = 2*i + 1422. What is the units digit of i?
1
Let y be 41 + ((-2)/(-1) - -1). Let x = y - -42. What is the units digit of x?
6
Suppose 2*x = -98 - 108. Let q = x + 148. What is the tens digit of q?
4
Suppose 2*c = -5*r + 1876, 0 = 3*c + 2*c + 10. What is the hundreds digit of r?
3
Let i(z) = z**3 + 2*z**2 + z - 2. Suppose j + 2 = -0. Let q be i(j). Let w = q + 11. What is the units digit of w?
7
Let n(d) = -d**3 + 13*d**2 - 12*d - 2. Let o be n(12). What is the units digit of ((-8)/o)/((-52)/(-3198))?
6
Let i = 10 - -360. What is the units digit of i?
0
Let p = 376 + -98. What is the units digit of p?
8
Let t = 85 - 135. Let d be (9/5)/(10/t). Let f(j) = -6*j - 13. What is the units digit of f(d)?
1
Let a = 126 - -262. Suppose -3*b + l = -557, 0 = -0*b - 2*b + 4*l + a. What is the units digit of b?
4
Let c(s) = s**3 - 13*s**2 - 2*s + 31. Let q be c(13). Suppose 4*t = -3*u + 307, -u = q*t + u - 389. What is the units digit of t?
9
Suppose 1470 = 7*q + 98. What is the tens digit of q?
9
Let k be (1 + 3)/(-4) + 5. Suppose k*h = 32 + 52. Suppose n - 3 = h. What is the tens digit of n?
2
Let a(x) = -311*x**2 - 2*x. Let b(k) = -155*k**2 - k. Let m(u) = -3*a(u) + 5*b(u). What is the units digit of m(-1)?
7
Let w(x) = -35*x + 1. Let d(c) = c**3 + 6*c**2 + 6*c + 6. Let m be d(-5). Let i be w(m). Let r = 100 + i. What is the tens digit of r?
6
Suppose 16*i = 3*h + 19*i - 5511, -5*i - 7348 = -4*h. What is the tens digit of h?
3
Suppose 62 = -l - 4*s, 42 = 3*l - 4*l + s. Let h be 6 + (-1 - (8/4 - -4)). What is the tens digit of (-2 - h)/(2/l)?
2
Suppose 14*c - 8579 = -9*c. What is the tens digit of c?
7
Let f = 23 - 21. Suppose f*v + 3 = 117. What is the units digit of v?
7
Let n be 0 + 3 + -2 - -3. Suppose -2*u + n*u = 60. What is the units digit of 10/u*15*1?
5
Let h = -144 + 259. Let k = h - 69. What is the tens digit of k?
4
Let b(v) = -6*v - 4. Let i be b(4). What is the units digit of 36/21 - 8/i?
2
Suppose 3*t - 10053 = n, -n = 4*n + 15. What is the tens digit of t?
5
Let b = -123 + 198. Suppose -4*k + 9*k = b. Suppose 5*s = -2*j + 34, 0 = 3*j + 3*s - 36 - k. What is the units digit of j?
7
Suppose c - 6 + 0 = 0. Suppose 0 = c*s - 1125 + 219. Let g = -100 + s. What is the units digit of g?
1
Let x = -378 + 606. What is the units digit of x?
8
Let q(y) be the first derivative of y**4/4 - 8*y**3/3 + 2*y**2 - 2*y + 1. Suppose -10*i = -13*i + 24. What is the tens digit of q(i)?
3
Let x(z) = -z**3 + 5*z**2 - 4. Let b be x(4). Let y = b + -11. Suppose u = y - 0. What is the units digit of u?
1
Suppose 6 = 11*s - 8*s. What is the hundreds digit of (1/s + 0)*(-26 + 230)?
1
Suppose -6*c - 5*c + 7084 = 0. What is the tens digit of c?
4
What is the units digit of ((-69)/6 + -2)*(-13 - -11)?
7
Let h(y) = -y**3 - 19*y**2 + 17*y - 22. Suppose 1 = r - 5*p + 13, -p + 156 = -5*r. Let n = 12 + r. What is the tens digit of h(n)?
3
Let j be (8 - 6)*(59 - 0). Suppose -5*g + 482 = -j. Let p = -86 + g. What is the tens digit of p?
3
Let f = 107 - 437. What is the units digit of f/(-44)*(25/3 + -1)?
5
Suppose 2*q + r = 5683, -3*q - 8*r = -11*r - 8511. What is the tens digit of q?
4
Let x(f) = -3*f**2 + 70. Let n(i) = 2*i**2 - 35. Let l(u) = 5*n(u) + 3*x(u). What is the units digit of l(0)?
5
Suppose 5*k + 15 = -5. Let j be 1 + k - (1 - 9). Suppose -j*i + 85 = 15. What is the tens digit of i?
1
Let i(s) = 40*s - 104. What is the tens digit of i(13)?
1
Suppose -14*m + 5950 = -79968. What is the hundreds digit of m?
1
Let i = 2873 + -1786. What is the hundreds digit of i?
0
Let k = 10130 + -6498. What is the tens digit of k?
3
Suppose f - 2*b + 13 = 6*f, 0 = f + 5*b - 21. Let p(g) = 0 - 1 - f - 7*g. What is the units digit of p(-4)?
6
Let b = 103 + -98. What is the units digit of b?
5
Suppose 2 = 2*n - 2. Suppose 2*d = -n*d - 3*m + 828, -3*d + 2*m + 638 = 0. Suppose 55 = -5*r + d. What is the tens digit of r?
3
Suppose -o - 9 = -12. Suppose -o*w + 4 = -311. What is the tens digit of w?
0
Let o(a) = 18*a + 2. Let x be o(-3). Let y = -33 - -35. What is the units digit of y/(-8) + (-1625)/x?
1
Suppose -4*t + 12 = 2*j, 4*t = 4*j - 0*j. Suppose 0 = -5*g + 4*h + 600, 4*g - 449 = -t*h - h. Let c = g + -71. What is the units digit of c?
5
Let s be -1 + -3 - (-3 + -113). Suppose -4*l = -0*l - s. What is the tens digit of l?
2
Suppose 6 = 4*i - 6. Suppose -z + 2 + i = 0. What is the units digit of z?
5
Suppose -2*l - 2 = 7*b - 2*b, 5 = -4*b - 5*l. Suppose 5*c - c - z - 466 = 0, b = -3*c + 3*z + 345. What is the hundreds digit of c?
1
Let d = 125 + -107. Suppose -20 = -4*k - k. Suppose 6*v - d = k*v. What is the units digit of
|
{
"pile_set_name": "DM Mathematics"
}
|
, 4*s = -3*g - 3. Suppose -s*x - 7 = -7. Let u = -3.07 - 0.93. What is the nearest to 2/7 in x, u, 16?
x
Let q be (-26)/4 + 6/(12/5). What is the closest to 1.1 in -1, 12, 0, q?
0
Let q = 875.338 + -870. Let x = -0.908 + q. Let y = 0.43 - x. Which is the closest to 0.2? (a) 3 (b) 1 (c) y
b
Let x = -13.2 + 13. Suppose -5*q = 3*a - 7, 3*a + 3*q - 7*q - 16 = 0. Let g be ((-33)/(-44) - 11/a)/8. What is the closest to 0.2 in g, -2/5, x?
x
Let v = -34.2 - 1.8. Let m = 31.2221 + -0.2221. Let o = m + v. What is the closest to 0.3 in o, -0.4, -3?
-0.4
Let y = -0.157 + 43.657. Let m = -43 + y. Let l = 0.043 + 0.057. Which is the nearest to 1? (a) l (b) m (c) 3
b
Let h = -349541 + 249572143/714. Let m = h + 2/119. Let c = -3 + 2.8. What is the closest to c in m, 2, -2?
m
Let v be (((-4)/260)/(64/(-832)))/((-2)/(-10)). What is the closest to v in -1/4, 29, -52/3?
-1/4
Let j = -8562 + 8644. Which is the nearest to -0.1? (a) j (b) -0.3 (c) -3 (d) -3/7
b
Let n = 0.04 - 0.024. Let m = -0.116 + n. Let i = -74 + 73. Which is the closest to -2/5? (a) m (b) i (c) -3/4
a
Let g be (4 - 3)/(0 + 1)*(-42)/(-63). Which is the nearest to 0.1? (a) -5 (b) 2/181 (c) g
b
Let i = 7.7 - 7.746. Let t = i - -1.046. Which is the closest to 0? (a) -0.38 (b) 3 (c) t
a
Let n = -9758.5 - -9758. Let z = -7 - -6. Which is the nearest to -0.1? (a) -2 (b) z (c) n
c
Let s = -23423 + 23780. Which is the nearest to s? (a) -0.4 (b) 4 (c) 0.1
b
Let k = -0.738 - -0.638. Let n = -28 - -27. Which is the closest to 1/5? (a) n (b) -0.4 (c) k
c
Let s(q) be the third derivative of -7*q**4/6 - 191*q**3/6 - q**2 - 75. Let p be s(-7). Which is the closest to -41? (a) -1 (b) p (c) 2 (d) 4
a
Let o(n) = n**2 - 9*n + 13. Suppose 22 = 3*f + 8*f. Let w = 5 + f. Let v be o(w). Which is the closest to v? (a) -4 (b) 2/15 (c) -0.4
c
Suppose -28*h + 52*h + 107*h - 524 = 0. Which is the closest to 2? (a) h (b) -5 (c) 1/5 (d) 0.44
d
Let d = 4.129 - 3.929. What is the closest to d in 0.09, 3, 1, 2?
0.09
Suppose 29*h - 313 = -565 + 339. What is the nearest to 2/29 in -2, h, -5?
-2
Let u = -0.546 + 0.546. Let k = 0.4 - -2. Let h = -3.6 - k. Which is the closest to u? (a) h (b) 0.3 (c) -0.5
b
Let m = 7163 + -7164. Which is the nearest to m? (a) 2/5 (b) 16 (c) -0.1 (d) 2/13
c
Let o be (-8)/(-15)*(49 - 52)*5. Which is the nearest to -2? (a) 3 (b) 0 (c) -0.5 (d) o
c
Let j = 19.585 - 19.585. Which is the closest to j? (a) -2/3 (b) 2 (c) -0.04 (d) 2.8
c
Let x = 884.7 - 883.4. What is the closest to x in -2/3, -4, 0.8?
0.8
Let n = 106.5 + -108. Let t = -0.19 - -0.25. Let a = t - -0.14. What is the closest to -2/5 in a, -3, n?
a
Let z = -15 - -254. Let x = z - 214. Which is the closest to x? (a) -2 (b) 4 (c) 0
b
Suppose -2 = -l, 6*h + 8 = 7*h + 4*l. Which is the nearest to 0? (a) -3 (b) h (c) 39 (d) -0.5
b
Let t = 189 - 189.4. Let x = -0.004 + 0.074. What is the nearest to 1/6 in t, x, -2?
x
Let s(o) = o**3 - 4*o**2 - 126*o + 259. Let n be s(2). Which is the nearest to n? (a) 2/5 (b) -1/21 (c) 4
b
Let h be 0 + -3 + 58/18. Let k(j) = 1444 + 0*j + 5*j**2 - 1447 - 2*j. Let m be k(-1). What is the closest to 3 in -5, h, m?
m
Suppose 2*i - 2*z = 4, 11*z = 2*i + 7*z - 4. Let u = 103/336 + -1/48. What is the closest to 1 in -0.5, u, i?
u
Let n = 16986/1141 + -2380/163. Let d = -0.2 + 0.15. Let v = 1.8 - 2. What is the closest to n in v, 4/7, d?
4/7
Let q = 3.12 + 1.88. Let p = 1 - 0. Let t be (3*p)/(21/(-2)). What is the nearest to 3 in -3, t, q?
q
Let y(n) = -8*n**2 - 55*n - 52. Let w be y(-6). What is the nearest to 1/2 in 41, w, -0.1, 5?
-0.1
Let h = -3140 + 3143. What is the closest to -2/11 in h, 2, 1/8, 1.5?
1/8
Let z = -24.9717 - -13.9717. Let t = 3 + -3.1. Which is the closest to 2? (a) z (b) t (c) 2
c
Let p = 1158 - 1162. Which is the closest to 1? (a) 50/3 (b) -5 (c) p (d) 2/11
d
Suppose 185*f = 31*f + 154. What is the nearest to 0.1 in 0.6, f, 4, 2/7?
2/7
Let j = -31 - -51. Let o = 22.36 - 0.36. Let d = j - o. Which is the closest to 2/7? (a) -1.1 (b) d (c) 2/9
c
Let h be (-195)/30 + 6 + 7/(-2). Which is the closest to 0.1? (a) -13 (b) -2/5 (c) h
b
Let f = 198529/19 + -10449. Which is the nearest to 1? (a) 2/23 (b) 0.1 (c) f
b
Let m be (13 - 2940/216) + -1 + 11/6. Suppose -j - 2*g + 28 = 0, -3*g + g - 32 = -j. Let x = j + -208/7. What is the closest to m in x, 0.4, 4?
x
Let h be (-4)/6 + (-14)/(-3). Let o(g) = 15*g + 3*g**2 - h*g**2 - 13*g + 1. Let j be o(2). Which is the nearest to 0? (a) j (b) -2/13 (c) 0
c
Let t = -9754 - -19867/2. Let s = t - 178. What is the nearest to -1/3 in 0.4, s, 2?
0.4
Let q = -14079 + 84475/6. Which is the nearest to 2/5? (a) -0.06 (b) q (c) 2/11 (d) 0.57
d
Let u = -185.84 + 183.84. What is the nearest to 1/2 in 0.49, u, 5?
0.49
Let k = -3 - -3.3. Let z be (-754)/5 + (-45)/(-75). Let s = z - -150. Which is the closest to 1.3? (a) -2 (b) k (c) s
b
Let x = 1804.6 - 1805. Which is the nearest to 3? (a) 3/2 (b) x (c) -0.5
a
Let p be (-555)/(-2025) - (1507/297 - 5). What is the closest to -29 in 5, 48, p?
p
Let n be (-15)/18*128/(-960). Which is the closest to 98.2? (a) -4 (b) -2/11 (c) 5 (d) n
c
Suppose 2*o - k - 12 = 0, -5*o + k + 3*k = -33. Let f = 0.13 - 0.48. Let b = 0.25 + f. What is the closest to b in o, 0.3, 4?
0.3
Let y be (9*(-8)/(-1386))/((-45)/(-21) - 3). What is the nearest to -2 in y, 0.4, 5?
y
Let a = -32 + 45. Let z = 18 - a. Let s be (-126)/15 + (-6)/10 - (-189)/18. What is the closest to -3 in s, z, 0.4?
0.4
Let u = 428.61 + -9.61. Let z = u + -423. What is the nearest to 0 in z, -0.4, -1/5?
-1/5
Let h(t) = -4*t**3 + 13*t**2 + 13*t. Let k be h(-1). Suppose o + 4*y - 2*y + 7 = 0, -o = -k*y - 23. What is the closest to -1 in 2, o, 0, -0.2?
-0.2
Let d = 2.97 - 536.97. Let l = -530 - d. Which is the nearest to 0.2? (a) -3/2 (b) 2/3 (c) l
b
Let v = 168.1 - 63.9. Let y = v - 104. Suppose -4*m = -4 - 16. Which is the closest to y? (a) m (b) -3 (c) -1
c
Let r = 5 + -4. Let n = 0.02 - 6.02. Let l = -157.4 - -157. Which is the nearest to r? (a) 1/4 (b) n (c) l
a
Let y = 18.6 + -190.9. Let z = 172 + y. Let x be 0 + 0 + (-4)/(-6). Which is the nearest to z? (a) -0.4 (b) x (c) -2/3
a
Let u = 854 + -853.15. Let z = -2.15 - u. What is the closest to -2 in -1/2, -58, z?
z
Let t(c) = -45*c. Let u be t(-1). Let l be u/175 + 7/49. What is the nearest to 3 in l, -2/11, -2?
l
Let z = 14276 - 14278. Which is the closest to 2? (a) z (b) 4 (c) -1 (d) 79
b
Suppose -8*l - 5*y = 47, 3*l + y = 5*y. Which is the nearest to -0.1? (a) -3 (b) -6/19 (c) -19 (d) l
b
Let i = 3468.5 - 3468. Which is the nearest to 37? (a) 2 (b) -4 (c) i
a
Suppose 34 = -40*j + 44 - 330. What is the nearest to j in 0.4, 4, 10?
0.4
Let v = -3.07 - -0.07. Let i = -0.1026 + 3.4026. Let w = i + v. What is the nearest to 1/4 in -4, 0.1, w?
w
Let y = -43.083 + 43.183. What is the nearest to y in -11, 0.3, -0.3, 5?
0.3
Let i = 388 + -777/2. Let y = 0.315 + 0.685. Let n = 0.3 + 4.7. What is the nearest to i in 2/17, n, y?
2/17
Let d be (2 - -2)*1/1. Let l = -759 + 758.9615. Let u = l + -1.9615. Which is the closest to 6? (a) d (b) 0 (c) u
a
Let o = 6435.91 - 6440.91. Let f = -6 + 2. Let x = f + 6. What is the closest to -1/2 in 1/2, x, o?
1/2
Let h be (-14)/(-126) + (-528)/(-108). Which is the nearest to 2/35? (a) 0.1 (b) 2/11 (c) h
a
Let l(h) = -h**2 + 315*h + 53332. Let d be l(437). Let g = 2.05 + -0.05. Let v = -0.3 - -0.5. Which is the nearest to 1? (a) g (b) d (c) v
c
Suppose 6*o = -15*o - 4 - 17. What is the closest to -3 in 2/15, o, -0.5?
o
Suppose -o + 3 = -0. Suppose 2 + 10 = -o*h. Let g be 448/240 + (-1)/5. What is the nearest to -2/3 in -0.4, g, h?
-0.4
Let u = -1592 - -1589. Let a be (2/(-10))/(1/((-25)/20)). Let s = -23/2 + 11. What is the closest to 0.2 in u, a, s?
a
Let i = -0.375 - -10.65. Let q = 10.2 - i. What is the nearest to q in 4, 3/8, 1?
3/8
Let v = -77 + 3. Let y = v + 73.925. Let p = y + 5.075. Which is the closest to -0.3? (a) -0.03 (b) p (c) 0.5
a
Let m = -0.2177 + -3.7823. Let c = 0.1 - 0.4. Let y = -0.3 - c. What is the closest to y in 0.3, m, 0.2?
0.2
Let n = -0.1 - -0.2. Let c = -16236/7 - -2320. What is the nearest to -2 in -3, n, c, -1/4?
-3
Suppose 85*k = 89*k - 8. Let m
|
{
"pile_set_name": "DM Mathematics"
}
|
5, l + 4*a = 3602. Does 199 divide l?
True
Let u(n) = -7*n + 7. Let k(w) = -15*w + 13. Let h(t) = -4*k(t) + 9*u(t). Let q be h(6). Is 22 a factor of (21/9)/q*-66?
True
Suppose -14*h + 26212 = -10*h. Is h a multiple of 110?
False
Let y(z) = 7*z**2 - 100*z - 559. Is y(-7) a multiple of 95?
False
Suppose -19*x = 68*x + 51*x - 1522692. Is 75 a factor of x?
False
Let j = -38 + 28. Let a be 6/j + 1 - (-92)/20. Suppose -a*q + 46 + 279 = 0. Is 13 a factor of q?
True
Let p be -2 - ((-3 - -2) + -1). Suppose -16*y + 11*y + 1965 = p. Is 53 a factor of y?
False
Let h(j) = -3*j**2 + j + 1. Let c be h(1). Let r(y) = -9*y**2 + y + 2. Let f be r(c). Is 4 a factor of (-4 - 46/f)*16?
True
Let h(i) = -2*i**2 + 53*i + 2. Let n(k) = -k**2 + 12*k - 12. Let c be n(6). Does 5 divide h(c)?
False
Let j = 18582 + 2726. Is j a multiple of 28?
True
Let l(u) = 4*u**2 + 12*u + 13. Let h(i) = -11*i**2 - 36*i - 40. Let f(p) = -3*h(p) - 8*l(p). Let w be f(-7). Let k = w - -26. Is k even?
False
Let j = 11596 - 6786. Does 65 divide j?
True
Suppose 33 = -i + 16*y - 12*y, -12 = -4*y. Let k = i + 124. Does 11 divide k?
False
Let v(x) = -3*x**3 - 14*x**2 - 4*x - 15. Let m(h) = -2*h**3 - 47*h**2 - 25*h - 53. Let k be m(-23). Is 23 a factor of v(k)?
False
Suppose 21987 + 18347 = 86*m. Does 11 divide m?
False
Let m(g) = 38*g - 108. Let s be m(7). Suppose z + 1035 = 4*b, -b + 3*z + 87 = -s. Does 20 divide b?
True
Suppose -144*i = 346*i + 7618228 - 27969888. Is i a multiple of 38?
True
Let b(y) = -y**3 - 7*y**3 - 4*y - 1 + 0*y + 6*y**3 - 11*y**2. Does 13 divide b(-8)?
True
Suppose 0 = -11*t + 8*t + 8091. Suppose 4*o - 2156 = 4*u, -t = -5*o + 6*u - 3*u. Does 60 divide o?
True
Suppose 0 = 11*t - 9*t. Suppose t = -5*u + 20, 0 = 3*b - 0*b + 2*u - 185. Let y = b + -17. Does 6 divide y?
True
Let s be (-6)/(-4) + 11/(154/(-1421)). Let f = s + 230. Is f a multiple of 10?
True
Suppose -67*b + 39 = -64*b. Let f(i) = -i**2 + 8*i + 30. Let r(j) = 3*j**2 - 25*j - 90. Let y(p) = -7*f(p) - 2*r(p). Is 13 a factor of y(b)?
False
Let k(r) = 2*r**2 + 10*r + 10. Let f(q) = -4*q + 16. Suppose -3*t = 5*n - 0 + 2, 5*n = t - 26. Let b be f(t). Does 6 divide k(b)?
False
Let s = 10537 + -5667. Is s a multiple of 21?
False
Suppose 5*t + 2076*r = 2077*r + 211381, t = -2*r + 42274. Is t a multiple of 13?
True
Suppose 0 = -5*a + 25, -4*m - 4*a = -2*m + 456. Let t = m + 371. Is 10 a factor of t?
False
Suppose 0 = 5*y - 0*y - 25. Let p(o) = 5*o**3 - 11*o**2 - 8. Does 19 divide p(y)?
True
Suppose -4*s + 3*s = -5*c + 24, 0 = 3*s + 2*c + 4. Let k be (-25)/5 + s - -3. Is 14 a factor of ((-6092)/(-9))/4 - k/(-27)?
False
Suppose -346*g + 347*g = 4*y - 17701, -5 = g. Does 79 divide y?
True
Is 8 a factor of (-1)/((-2)/29738) - (-3)/6*-6?
False
Let l = -2496 + 5952. Is 72 a factor of l?
True
Let k = -26 - -74. Suppose k = 4*g - 8. Is g/70 - (-2)/(20/1198) a multiple of 20?
True
Let g(i) = -2*i**2 + 36*i + 3. Let b be g(18). Suppose 4*q = 20*v - 19*v + 682, 504 = b*q + 3*v. Does 10 divide q?
True
Suppose 132*a = 140*a - 10912. Does 11 divide a?
True
Let f = 8694 - 5204. Does 5 divide f?
True
Let r(l) = -2*l**2 - 10*l + 53. Let n be r(-8). Suppose 4*f - 954 = 4*u + u, 2*f = -4*u + 464. Suppose n*w - f = -16. Is w a multiple of 13?
False
Let b = 100239 + -64741. Is 37 a factor of b?
False
Suppose x = -11*i + 10*i + 12851, -2*x = -i - 25720. Does 48 divide x?
False
Let u = -25 - -23. Let q = u - 0. Is (11/q + 4)*-12 a multiple of 10?
False
Suppose -35*q + 276*q - 220203 - 65382 = 0. Does 3 divide q?
True
Suppose -992*q - 329358 - 28824 = -1003*q. Is q a multiple of 6?
True
Suppose -2*j = -4*b, -21*j - 2 = -24*j + 5*b. Suppose 4*v - 3*v = -p + 277, 3*p = 3*v + 825. Suppose 0 = j*x - 8*x + p. Is x a multiple of 15?
False
Let i = 12755 - 3300. Is i a multiple of 61?
True
Let d be ((-10)/(-4) + -2)/((-11)/(-44)). Let b(l) = -3085*l**d - l**3 - 7*l + 3085*l**2. Does 8 divide b(-3)?
True
Let m be (4/6 + 0)/((-6)/27). Let j be (12/(-4))/(-1) + m. Suppose -8*p + 246 - 22 = j. Is p a multiple of 4?
True
Suppose 2*l - 3152 = -4*h, -24*h + 26*h = -10*l + 1540. Does 6 divide h?
False
Let z be (642/8)/(684/48 - 14). Suppose -19*u + z = -1883. Does 6 divide u?
False
Let f = -4760 - -4826. Is f a multiple of 2?
True
Let u = -24 + 27. Let v(l) = -10*l**3 - 10*l - l - u - 4*l + 11*l. Is 43 a factor of v(-2)?
False
Let v = 25538 - 13754. Is 148 a factor of v?
False
Is (-5 + (-38374)/(-70))*25 a multiple of 140?
True
Let n(c) = c**3 - 18*c**2 + 33*c + 17. Suppose 0 = -40*p + 33*p + 112. Is n(p) a multiple of 17?
False
Let p(m) = 15*m - 95*m + 3 - 42*m. Is p(-2) a multiple of 19?
True
Let j(f) = f - 43. Let m(p) = 44. Let y(l) = -3*j(l) - 2*m(l). Let a be y(12). Suppose -3*k + 311 = -a*b, -5*b + 107 + 142 = 2*k. Does 16 divide k?
True
Suppose -s + 1 = 0, -67 = 2*t + 3*s - 2670. Is 25 a factor of t?
True
Suppose -2*i - z = -2, -z - 17 = i + 4*z. Let f be (i - 0)/((-1)/55). Let j = f + 369. Is j a multiple of 34?
True
Is -14 + 66/6 + (-31083)/(2 - 5) a multiple of 26?
False
Suppose -5*z - 14685 = -v, -3*z + 7885 = -2*v + 37213. Does 27 divide v?
False
Let m be 6*(1053/(-156))/(3/(-32)). Suppose m = -60*a + 66*a. Is 4 a factor of a?
True
Suppose 7*o - 26*o + 66690 = 0. Is 18 a factor of o?
True
Let d be -3 - (-3*27 - -1). Suppose 6*x + d + 505 = 0. Let c = x + 109. Is c a multiple of 4?
True
Suppose -4*n + 5*r = 1062, -2*r - 2*r = n + 276. Let t = 728 + -1156. Let a = n - t. Is a a multiple of 32?
True
Suppose -2*n - p + 39 = -11, p + 118 = 5*n. Suppose 0*z + 4*z = 4*h - n, 0 = -4*h - 2*z + 42. Suppose -h*u = -60 - 903. Is u a multiple of 11?
False
Suppose -141*q + 15 = -136*q. Suppose -q*x = 2*m - 710, 3*x - 1070 = 2*m - 352. Does 14 divide x?
True
Suppose 0 = 128*s - 137*s + 2862. Suppose s*p = 323*p - 700. Does 28 divide p?
True
Let x = -48 + 72. Suppose -5*o + 2*b + 1145 = 0, -4*o + 914 = 18*b - 20*b. Suppose -4*j + n + o = 0, -312 = -5*j + n - x. Is j a multiple of 12?
False
Let t(f) = -f**2 + 53*f + 227. Does 61 divide t(45)?
False
Let v(p) = -56 + 27 - 127 + p**2 - p. Is 6 a factor of v(15)?
True
Let z = 120167 - 50555. Does 50 divide z?
False
Let p be (2 + 3/(-3))*0. Let x be 0 - (10/6)/(-5)*p. Suppose x = -5*r + 28 + 117. Is 29 a factor of r?
True
Suppose 5*n + 40824 = 5*o - 14051, -65844 = -6*o + 5*n. Does 113 divide o?
False
Suppose -37998*x - 976374 = -38025*x. Is x a multiple of 49?
True
Let q be (-21)/7 + 6 + 5893. Suppose -1364 = -20*n + q. Does 11 divide n?
True
Let f(a) = a**3 + 2*a**2 - 15*a - 14. Let s be f(-7). Let t = 815 - s. Is t a multiple of 19?
True
Let y = -5634 + 17198. Does 98 divide y?
True
Let s be (1 - 2) + 3 - (-28 + 25). Suppose 83 - 489 = -4*d + 3*v, -5*d + 490 = s*v. Is d a multiple of 10?
True
Suppose l + 146 = -5*w, -4*l + 2*w = 7*w + 509. Let c = 132 + l. Is 3 a factor of c?
False
Suppose -2*r - 11358 = -6*r + 4866. Is r a multiple of 26?
True
Let c be ((-4)/10)/((-16)/40). Suppose f = -c, 2*l = 4*f - 5 + 19. Suppose 3*r + 3*u = 45, -l*r + 0*r + u + 105 = 0. Is 4 a factor of r?
True
Let m(z) = -48*z**3 - z**2 + 7*z + 2. Let p(d) = -29*d**3 - d**2 + 7*d + 3. Let f(t) = -2*m(t) + 3*p(t). Let n be 3/(-2*(-1)/2). Does 10 divide f(n)?
True
Let l(b) = -b**2 - 5. Let q be l(3). Let f = q - -2. Is 12 a factor of (f/8 - 1 - -2)*-30?
False
Let u(h) = -9*h - 1. Let l(g) = -2*g**3 - 6*g**2 + 11*g + 6. Let a be l(-4). Is u(a) a multiple of 3?
False
Let b(t) = -t**2 + 1. Let l(s) = -8*s**2 - 11*s - 31. Let a(y) = -b(y) - l(y). Let z be a(-5). Suppose 4*r - 211 - 93 = 4*n, -4*n + z = 3*r. Does 18 divide r?
True
Let v = 55492 + -22914. Does 179 divide v?
True
Let h(f) = 71*f + 3609. Is h(-50) a multiple of 13?
False
Let j(y) = 2*y**3 - 3*y**2 - 12*y + 23. Let n be j(4). Suppose 5*d - n*z - 6829 = -53*z, 0 = -d - 4*z + 1357. Is 15 a factor of d?
True
Suppose 2*f - 25 = -91. Let y = -31 - f. Is 141/y - 12/24 a multiple of 14?
True
Let y = 82 - 61. Let c = 23 - y. Suppose 134 - 30 = c*t. Is t a multiple of 13?
True
Suppose 41 = -o + 45. Suppose -o*l + 2*p + 704 = -58, 5*l - 939 = -2*p. Does 9 divide l?
True
Does 12 divide 2620 - (-7 - -4)/6*16?
True
Suppose 3*u + 17 = v, 0 = u - 5*u - 2*v - 6. Let h be u*(-4)/16*3. Suppose -3*a - 12 = 0, -h*a - 41 + 7 = -2*k. Does 5 divide k?
False
Suppose -3*n = 3*s - 4*s - 3729, 3729 = 3*n - 2*s
|
{
"pile_set_name": "DM Mathematics"
}
|
0.
-1, 0, 1
Let m be 69/2*4/3. Let y be (-4)/14 + m/14. Factor y*o + 4*o**2 - 6*o**2 - o.
-2*o*(o - 1)
Let x be (4/7)/((-52)/28 - -2). Factor -2/9*b + 0 + 2/9*b**3 - 2/9*b**x + 2/9*b**2.
-2*b*(b - 1)**2*(b + 1)/9
Let h(f) be the second derivative of 0*f**2 + 1/36*f**4 - 4*f + 0*f**3 + 0. Factor h(g).
g**2/3
Suppose 2 = 2*z + 8. Let w(k) = -2*k**2 + 4*k + 10. Let c(i) = -2*i**2 + 3*i + 11. Let t(y) = z*w(y) + 2*c(y). What is h in t(h) = 0?
-1, 4
Let y(c) be the second derivative of c**8/3360 + c**7/560 + c**6/240 + c**5/240 + c**3/6 + c. Let q(z) be the second derivative of y(z). Factor q(h).
h*(h + 1)**3/2
Let g(z) be the first derivative of 2*z**5/5 + z**4/4 - 2*z**3/3 - z**2/2 - 6. Factor g(j).
j*(j - 1)*(j + 1)*(2*j + 1)
Factor -27 + 36*a + 3/4*a**3 - 39/4*a**2.
3*(a - 6)**2*(a - 1)/4
Let i be 1/(-3) - (-143)/195. Let g(f) be the first derivative of 0*f**3 + i*f**5 + 0*f**4 + 0*f + 1 + 1/3*f**6 + 0*f**2. Factor g(x).
2*x**4*(x + 1)
Let f(p) = p**2 - p. Let b be f(0). Let k = -38 - -40. Find x, given that -8/5 + b*x + 6/5*x**k + 2/5*x**3 = 0.
-2, 1
Let w(q) = q**4 - 29*q**3 - 31*q**2 + 25*q + 26. Let f(j) = 30*j**3 + 30*j**2 - 25*j - 25. Let r(n) = 4*f(n) + 5*w(n). Factor r(b).
5*(b - 6)*(b - 1)*(b + 1)**2
Let t(u) be the first derivative of u**7/5460 - u**6/2340 - u**5/390 - u**3/3 + 7. Let n(k) be the third derivative of t(k). Suppose n(o) = 0. What is o?
-1, 0, 2
Let i(u) be the third derivative of -u**6/30 + u**4/2 - 4*u**3/3 + 8*u**2. Factor i(k).
-4*(k - 1)**2*(k + 2)
Suppose 0 = 4*d - d + 111. Let n = 113/3 + d. Find t such that 2*t**2 + 2*t + 2/3 + n*t**3 = 0.
-1
Let r(l) = -l**5 + 2*l**3 + 3*l**2 - 4*l - 3. Let g = -7 - -9. Let y(t) = -t**2 + t + 1. Let z(o) = g*r(o) + 6*y(o). Factor z(b).
-2*b*(b - 1)**2*(b + 1)**2
Factor -3/2*q**2 - 3/2*q**5 + 3/2*q**3 + 3/2*q**4 + 0 + 0*q.
-3*q**2*(q - 1)**2*(q + 1)/2
Let q be ((-10)/(-7) - (-24)/42) + 0. Factor -1/8*a**q - 1/8*a + 1/4.
-(a - 1)*(a + 2)/8
Suppose 5*r = -4*j, -3*r - 17 = -5. Let h(f) be the first derivative of 0*f**3 - 3/5*f**j + 0*f**4 + 0*f - 1/2*f**6 + 2 + 0*f**2. Solve h(t) = 0.
-1, 0
Let c(w) be the second derivative of -3*w**4/4 - 10*w**3/3 - 2*w**2 + 3*w. Determine i so that c(i) = 0.
-2, -2/9
What is l in -23/4*l + 5*l**2 + 3/2 = 0?
2/5, 3/4
Let o be 6*1*(0 + (-5)/(-10)). What is p in -1/3*p**o + 2/3 + 0*p**2 + p = 0?
-1, 2
Let f(g) be the first derivative of -g**6/105 + g**5/70 - 3*g - 2. Let u(a) be the first derivative of f(a). Find b such that u(b) = 0.
0, 1
Let a = -2 - -4. Let u(j) = j**3 + 4*j**2 - j - 4. Let i(p) = -p**2 + 1. Let b(q) = -q + 2. Let l be b(1). Let m(v) = a*i(v) + l*u(v). Solve m(x) = 0 for x.
-2, -1, 1
Let g = 4033 - 1451879/360. Let o(u) be the third derivative of g*u**6 + 1/9*u**3 - 1/72*u**4 - u**2 + 0 - 1/90*u**5 + 0*u. Factor o(k).
(k - 2)*(k - 1)*(k + 1)/3
Let o(y) = y**4 + y**3 - y**2 + y. Let v(w) = 9*w**4 + 11*w**3 - 7*w**2 + w - 2. Let p(l) = 6*o(l) - v(l). Factor p(r).
-(r - 1)*(r + 1)**2*(3*r + 2)
Suppose -3*f = -w - 0*w - 8, -f = 5*w - 8. Determine q, given that 2*q**4 + 3*q**4 - 3*q**4 - q**f - 2*q + 3*q**3 - 2*q**2 = 0.
-1, 0, 1
Let k(g) be the third derivative of g**8/1512 - g**7/315 - g**6/270 + g**5/45 + g**4/108 - g**3/9 + 8*g**2. What is f in k(f) = 0?
-1, 1, 3
Let o = 62 + -123/2. Let b(i) be the first derivative of o*i**4 - i**2 - 2 + 4/3*i - 4/9*i**3. Factor b(q).
2*(q - 1)*(q + 1)*(3*q - 2)/3
Let k(n) be the second derivative of -n**6/1440 + n**4/96 - n**3/6 + 2*n. Let o(b) be the second derivative of k(b). Factor o(i).
-(i - 1)*(i + 1)/4
Let m(y) be the second derivative of -y**5/60 + y**2 - 3*y. Let g(v) be the first derivative of m(v). Factor g(a).
-a**2
Let y(j) be the first derivative of 1/210*j**5 - j**2 + 1 + 1/84*j**4 + 0*j**3 + 0*j. Let w(k) be the second derivative of y(k). Determine m so that w(m) = 0.
-1, 0
Let c(m) be the first derivative of -m**5/90 - m**4/18 + 4*m**2 + 6. Let y(d) be the second derivative of c(d). Factor y(a).
-2*a*(a + 2)/3
Let u = -17 + 17. Factor c**4 + u*c**3 + 0*c**3 + 4*c**5 - 4*c**3 + 3*c**4 - 4*c**2.
4*c**2*(c - 1)*(c + 1)**2
Let h(n) be the second derivative of 8*n**7/7 - 124*n**6/45 - 53*n**5/20 + 181*n**4/36 - 8*n**3/3 + 2*n**2/3 + 23*n. Suppose h(j) = 0. Calculate j.
-1, 2/9, 1/4, 2
Let s(m) = -36*m**3 + 45*m**2 + 15*m - 66. Let n(c) = -7*c**3 + 9*c**2 + 3*c - 13. Let p(a) = -21*n(a) + 4*s(a). Factor p(f).
3*(f - 3)*(f - 1)*(f + 1)
Let m be 0 + (3/(-3) - -2). Suppose -2*j - 5*j**2 - j - m + 4*j**2 - 1 = 0. What is j?
-2, -1
Let f be ((-2)/21)/(11/(-33)). Let p(x) be the first derivative of -f*x + 2/7*x**2 - 2/21*x**3 - 1. Find t such that p(t) = 0.
1
Let p = 15 - 12. Factor 0*d**5 + 3*d**2 + 9*d**4 + 0*d**4 + 9*d**p + 0*d**5 + 3*d**5.
3*d**2*(d + 1)**3
Let r(n) = 4*n + 32. Let y be r(-8). Let v(i) be the first derivative of -1/3*i**3 - 5/8*i**4 + y*i + 2 + 0*i**2 - 2/5*i**5 - 1/12*i**6. Factor v(j).
-j**2*(j + 1)**2*(j + 2)/2
Let a(y) be the second derivative of -1/45*y**5 - 2*y + 1/54*y**4 + 0 - 1/9*y**2 + 2/27*y**3. Factor a(v).
-2*(v - 1)*(v + 1)*(2*v - 1)/9
Let j be (-4)/(-3)*(480/66 + -7). Factor -j*r - 10/11*r**2 + 6/11.
-2*(r + 1)*(5*r - 3)/11
Suppose -3*l + 13 = -2. What is f in -4*f**3 + 3*f**3 + l*f - f**3 - 3*f = 0?
-1, 0, 1
Let u = -10 - -8. Let b be (9/(-6) - 0)*u. Suppose 3 + 12*v**2 + 2*v**b + 4*v + 7*v**3 - 3 = 0. Calculate v.
-2/3, 0
Let d = -4/89 + 222/979. Determine y so that 162/11 + 216/11*y + 108/11*y**2 + d*y**4 + 24/11*y**3 = 0.
-3
Suppose -19 = 5*y - 54. What is c in y*c**5 - 71/4*c**4 + 0 - 19/4*c**2 + 1/2*c + 15*c**3 = 0?
0, 1/4, 2/7, 1
Let v be -1 - (2 + -1) - -5. Let w(x) = x**3 - 2*x**2 - x - 4. Let s be w(v). Suppose -2*c + 2*c**2 + s*c**3 - 4*c**4 + 5*c**4 - 3*c**4 = 0. What is c?
-1, 0, 1
Let k(c) be the first derivative of c**6/1080 + c**5/360 - c**4/36 + 2*c**3/3 - 2. Let l(w) be the third derivative of k(w). Let l(g) = 0. Calculate g.
-2, 1
Let a(j) be the second derivative of j**7/420 + j**6/120 - j**4/24 - j**3/12 + j**2 + 3*j. Let m(o) be the first derivative of a(o). Factor m(h).
(h - 1)*(h + 1)**3/2
Suppose g**4 + 1/4*g**5 - 3*g**2 - 1/2*g**3 + 0 + 9/4*g = 0. What is g?
-3, 0, 1
Let v(m) be the first derivative of 3*m**5/25 + 3*m**4/10 - 3*m**2/5 - 3*m/5 + 3. Solve v(q) = 0 for q.
-1, 1
Let z(k) = k. Let c be z(-2). Let n = 0 - c. Solve -2*o**2 + 2*o + 2*o**4 - n*o**3 + 0*o**3 + 0*o**3 = 0.
-1, 0, 1
Let 0 + 0*w - 6/5*w**4 - 6/5*w**3 - 2/5*w**2 - 2/5*w**5 = 0. Calculate w.
-1, 0
Let y = -31 - -22. Let o be (1 + y)*(2 + -3). What is a in 2*a**3 + o*a**4 - 4*a**4 - 6*a**2 - 6*a**2 - 14*a - 4 = 0?
-1, -1/2, 2
Let d = -144 + 2161/15. Let s(r) be the second derivative of -3/50*r**5 + r + 2/15*r**4 + 0 - 2/5*r**2 + d*r**3. Factor s(y).
-2*(y - 1)**2*(3*y + 2)/5
Suppose 0*w = -5*k - 3*w - 4, w = -3. Suppose j - q + 2 = 0, -k + 3 = -5*j + q. Factor 1/4*n**3 - 1/4*n**2 + j - 1/4*n**5 + 0*n + 1/4*n**4.
-n**2*(n - 1)**2*(n + 1)/4
Determine o, given that 0 - 2*o**5 + 4/7*o**3 + 10/7*o**4 + 0*o**2 + 0*o = 0.
-2/7, 0, 1
Suppose 6*j - 3*j - s = 17, -5*j = 3*s - 19. Let o = j + -3. Solve -8*g**4 - 1 - 2*g**5 + 1 - 8*g**o - 12*g**3 + 2*g - 4*g = 0.
-1, 0
Let 3 - 95*y + 92*y + 13*y**2 - 3 - 4*y**3 = 0. What is y?
0, 1/4, 3
Let y(d) be the third derivative of 32*d**6/75 + 16*d**5/15 + 17*d**4/30 + 2*d**3/15 - 3*d**2. Factor y(u).
4*(u + 1)*(8*u + 1)**2/5
Let w(r) = -r**3 + 5*r**2 + 2*r - 6. Let z be w(5). Suppose 2*j + z*a - 20 = 0, -j + 4*a - 16 = -2. Factor 0*q - 2/11*q**3 + 0 - 2/11*q**j.
-2*q**2*(q + 1)/11
Let i(l) be the second derivative of l**8/960 + 5*l**7/756 + l**6/180 - l**5/45 + l**4/3 + 2*l. Let b(p) be the third derivative of i(p). Factor b(h).
(h + 2)*(3*h + 2)*(7*h - 2)/3
Let b(y) = y**3 + 6*y**2 + 9*y + 2. Let x be b(-2). Factor -1/4*j + 1/4*j**5 + 0*j**3 + x - 1/2*j**2 + 1/2*j**4.
j*(j - 1)*(j + 1)**3/4
Let s(w) be the second derivative of 3*w**4/4 - w**3/2 - 3*w**2 + 16*w. Factor s(m).
3*(m - 1)*(3*m + 2)
Suppose 12 - 3 = 3*r. Find h, given that 0*h**3 + h**5 + h - 3 + 3 - 2*h**r = 0.
-1, 0, 1
Factor -2/9*n**2 - 2/9*n + 4/9.
-2*(n - 1)*(n + 2)/9
Let u(k) = 4*k + 4. Let f(g) = -g - 1. Let m(s) = -5*f(s) - u(s). Let l be m(1). Let 8/7*b + 0 + 8/7*b**l + 2/7*b**3 = 0. Calculate b.
-2, 0
Let b = 3211/15 + -214. Let t(p) be the first derivativ
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{
"pile_set_name": "DM Mathematics"
}
|
erivative of -n**6/360 + 3*n**5/40 - n**4/4 + n**2. Let x(t) be the second derivative of b(t). Determine x(6).
-3
Suppose 0 = 2*s + 89 - 93. Let v(q) be the third derivative of 1/2*q**3 + 0 - q**s + 0*q + 1/6*q**4. Calculate v(-2).
-5
Let y(r) = -22*r**3 + 10*r - 8. Let b(z) = 10*z**3 - 4*z + 3. Let u(o) = -5*b(o) - 2*y(o). What is u(1)?
-5
Let l = -6 - -8. Let d(t) = 0*t**l - 77*t + t**2 + 69*t - 4. What is d(9)?
5
Suppose 4*m - 140 = -4*w, -3*m - 3*w + 8*w = -73. Let n(z) = m + 20 - 47 - z**2. Suppose 3*b = 4*o, -2*o - 5*b + 23 = -o. Calculate n(o).
-5
Let s(h) be the second derivative of -h**5/20 - h**4/4 + 2*h**3/3 - 5*h**2/2 - 284*h. Calculate s(-5).
25
Suppose 0*i = 3*i. Let v(m) be the second derivative of -1/6*m**3 + 0 + m**2 + 23*m. What is v(i)?
2
Let o(y) = 36*y - 2*y**2 - 1 - 8*y**3 - 2*y**3 + 33*y - 67*y. Give o(1).
-11
Let s(i) = 27*i**3 + 2*i**2 - 1. Let a be s(1). Let q(b) = 26*b + 1 - a*b - 3. Calculate q(2).
-6
Let a(i) = 2*i**3 - i**2 - 2*i - 3. Suppose 6*t = 17 - 29. Give a(t).
-19
Let i(t) = -14*t**2 - t - 1. Let v be (24/(-18))/(3/(-9)). Let g(b) = b**3 - 3*b**2 - 6*b + 7. Let k be g(v). What is i(k)?
-14
Let t(w) = -w**2 - 6*w - 7. Let z(m) be the third derivative of -m**5/60 + m**3/2 - m**2. Let p be z(-3). Determine t(p).
-7
Let o = -3 - 5. Let c(g) = -g**2 - 8*g + 1. Let k be c(o). Let s(b) be the first derivative of b**4 + b**2/2 + 67. Determine s(k).
5
Let f(c) = c**2 + 12*c + 13. Let d(m) be the third derivative of m**5/12 + 61*m**4/24 + 11*m**3 + 2*m**2. Let y(a) = -2*d(a) + 11*f(a). Give y(-8).
-5
Let t(m) = 2 - 1 - 2. Let s(a) = a + 3. Suppose z + 5 = 2. Let q(x) = z*s(x) - 8*t(x). Give q(5).
-16
Let i(w) = 37 - w - 21 - 20. Give i(9).
-13
Let y = 963 - 949. Let j(l) = -l**3 + 14*l**2 - l + 11. Give j(y).
-3
Let v(h) = h**2 - 7*h + 5. Suppose -2*b + 14 = 2*m, 3*m = -b + 5*b - 35. Suppose 5*j - b - 12 = 0. Give v(j).
-7
Let y(h) = h**3 + 2*h**2 - 5*h - 4. Let n be (-5)/(-4) + 54/72. Suppose 5*v + 0 + 12 = 3*i, v + 5 = -n*i. Determine y(v).
2
Let r(y) = 4*y**2 - 2*y - 1. Suppose 64 = 17*z + 30. Give r(z).
11
Suppose 3*x - 11 = -o, -5*o + 2*o = 3*x - 21. Let k(m) = m. Let a = -25 + 24. Let d(g) = -g**2 + 5*g - 2. Let h(p) = a*d(p) - k(p). Calculate h(o).
-3
Suppose -j = -4*j + 2*l - 88, 2*j + 76 = -3*l. Let z = j - -34. Suppose 4*u + z = -6. Let o(r) = 3*r - 2. Give o(u).
-8
Let r(b) = -5*b**2 - 5*b - 4. Let g = -1275 + 1273. Calculate r(g).
-14
Let l(r) = -r**2 + 13*r - 13. Let g(j) = -2*j**3 + 43*j**2 + 24*j - 34. Let k be g(22). Calculate l(k).
17
Let f(p) = p**2 - 9*p - 38*p**2 + 36*p**2. Determine f(-8).
8
Let z(u) = -23*u**3 + 25 - 22 + 22*u**3 - 7*u**2 + 3*u. Give z(-7).
-18
Let n be -1 - ((-38)/14 + 12/(-42)). Let z(l) = 41*l - 85*l + l**n + 43*l + 2. Let i = 1 + -1. Calculate z(i).
2
Suppose -4*a + 35 = u + 1, -a + 4*u = 0. Let v(o) = o**3 - 7*o**2 - 7*o + 10. Determine v(a).
18
Let c = 338 + -333. Let u(x) = -2*x + 6. What is u(c)?
-4
Let n(o) = -3*o + 2. Let j be (2 + -5)*(-30)/9. Let z be (-38)/(-14) + j/35. Suppose z*c + 21 = -3*l, -5*c + 3*c - 3*l = 18. Determine n(c).
11
Let k(b) = b**3 - 4*b**2 - b + 1. Let x = -28 - -31. Calculate k(x).
-11
Suppose -3*l = -15*l + 96. Suppose -l = -16*g - 24. Let p(s) = s**2 - s - 1. Calculate p(g).
1
Let t(n) = -16 + 8 - 40*n + 7. Give t(1).
-41
Let s(j) be the first derivative of -5*j**2/2 - 3*j - 94. Determine s(-4).
17
Let h(a) = 8*a + 50. Let b be h(-6). Let c(t) = -4*t**2 + 3*t - 2. Give c(b).
-12
Let k(c) = 0*c - c**2 - 2648 + 2650 + 6*c + 0*c. What is k(9)?
-25
Let y(x) = -x**3 - 6. Let v = -9 + -4. Let o be -4 + 2 + (v - 4). Let q = 19 + o. What is y(q)?
-6
Let b be -9*2*(-6)/36. Let p(i) = -2*i**2 - 5*i + 4. Determine p(b).
-29
Let l(o) be the second derivative of -o**4/12 + 7*o**3/3 - 11*o**2 - 22*o. Let u be l(12). Let m(h) = 7*h + 1. Calculate m(u).
15
Let q be (-8 - -7)/((-1)/3). Let y(z) = q*z + 3*z + 7 - 7*z. Let b(c) = -1. Let o(m) = -6*b(m) - y(m). Give o(-5).
-6
Let v(b) = -b**2 + 7*b + 17. Suppose -343*k - 117 = -356*k. Give v(k).
-1
Let m(f) = f**2 - 10*f - 14. Let x be m(11). Let n be (0 - -1) + x + 4. Let s(u) = u**2 - u - 1. Calculate s(n).
1
Let n(g) = -3*g - 5. Let d(l) = -8*l - 267. Let r be d(-32). What is n(r)?
28
Suppose 32 = 4*a - 2*a. Let d(h) = -h - a + 34 - 21 + 4*h. Let u(n) = -2*n - 1. Let r be u(1). Determine d(r).
-12
Let r(b) = -2*b**2 - 4*b - 2. Let s be r(-2). Let t be 12/s*(-8 + 9). Let a(z) = -11. Let x(w) = -w + 56. Let q(i) = 11*a(i) + 2*x(i). What is q(t)?
3
Suppose -r - 6 = -2*r. Suppose 4*z - 4 = -3*t + 1, 3*z + 3*t = r. Let n(v) = 10*v**2 - 68 + 69 - v**2. Give n(z).
10
Suppose -s - 1 = -2, x = 2*s - 7. Let o(a) = -a - 26. Calculate o(x).
-21
Let f(c) be the first derivative of c**3/3 - c - 2. Let r = -21 + 37. Let a = -17 + r. Determine f(a).
0
Let z(g) be the third derivative of 11*g**5/60 - 5*g**4/6 - 7*g**3/2 - 20*g**2. Let n(i) = -4*i**2 + 7*i + 7. Let l(d) = -8*n(d) - 3*z(d). Give l(7).
-14
Let m(h) = h**3 + 4*h**2 + 3*h + 1. Let a be m(-2). Let k = -20 + 23. Let d(y) = -y**3 + 3*y**2 + 0*y**k + y - 2*y - 21 + 23. Give d(a).
-1
Let m(h) be the second derivative of -h**5/20 + h**4/2 - 7*h**3/6 + 11*h**2/2 + 29*h. Let k be m(5). Let f(x) = -12*x. Determine f(k).
-12
Let v = 19 - 12. Let y(s) = -4*s**2 - s**3 - s**3 - 2 + v*s**2 + s. Suppose 3*a - 9*a + 5*t + 32 = 0, 2*t + 8 = 0. Determine y(a).
-4
Let b be 1/2*(7 - 232/8). Let k(u) = -u**3 - 10*u**2 + 8*u - 12. Give k(b).
21
Let w(i) = i**3 - 1. Let u be w(0). Let k(x) = -11*x**2 - x**3 + 9*x**2 - x**3 + 4*x**2 + 2*x + 1. What is k(u)?
3
Let d(q) = -27*q + 212. Let w be d(8). Let o(z) = z**3 + 4*z**2 + 3*z + 6. Give o(w).
-6
Let v(s) = -4853*s**2 - 4*s - s**3 + 4866*s**2 - 6 - 7*s. Calculate v(12).
6
Let w(k) = -k**3 - 5*k**2 + 5*k - 6. Let z be 2*(-1 + 2) - 3. Let a be z*(-1 + -1) + 4. Suppose -o = -2*o - a. Give w(o).
0
Let j(q) = 6*q - 41. Let f be j(8). Let x(r) = -r + 0 + 8 + 1 - f. Give x(8).
-6
Let k(q) = q**3 + 8*q**2 - 10*q. Suppose -39 = 4*j + w, -2*j - 33 = -2*w + 7*w. Determine k(j).
9
Let k(v) be the second derivative of 3*v**5/20 + v**4/12 + v**3/6 + v**2/2 - 14*v. Let x be k(-1). Let n(y) = y**2 + y**2 - y**2 + 2*y. What is n(x)?
0
Let d be 14/28*(-3 - 1) - -4. Let g(h) = -3*h**2 + 5*h - 4. Let a be g(d). Let p(k) = -2*k + 5. What is p(a)?
17
Let p be (9/(-6))/(15/20). Let h be (1/p)/((-4)/48). Let y(n) = 7*n + 1. Let s(x) = x. Let j(w) = h*s(w) - y(w). Calculate j(-3).
2
Suppose 0 = 2*o + 2*o. Let r(m) = m - 2 + 1 + o*m + 2. Calculate r(5).
6
Suppose -u = -2 - 3. Let a(d) = -d**3 + 6*d**2 - 6*d - 2. Let o be a(u). Let w(k) = 3*k + 8. Determine w(o).
-13
Suppose -2*k - k + 12 = 0. Let n be (0/1 - 1)*-7. Let s(q) = 4*q - 17. Let b(o) = 2*o - 9. Let g(f) = n*b(f) - 4*s(f). Give g(k).
-3
Let o(z) = -z**3 - 10*z**2 - 29*z - 1. Let x(u) = -u**3 - 11*u**2 - 26*u - 1. Let n(s) = 4*o(s) - 5*x(s). Give n(-14).
1
Let p(q) = -q**3 - 7*q**2 + q + 20. Let j(u) = -3*u**3 - 20*u**2 + 4*u + 59. Let z(h) = -3*j(h) + 8*p(h). Give z(-4).
-1
Let l(q) = 2*q**2 + q. Suppose 3*y + 19 = -4*x, 135*y = 139*y + 20. Give l(x).
1
Let a(d) be the first derivative of -11*d**2/2 - 1. Suppose k = -k. Suppose u - 1 + 0 = k. Calculate a(u).
-11
Let l(v) = -v - 2*v + 21 - 16 + 6*v. Let d(w) be the first derivative of 5*w**2 + 16*w + 1. Let n(g) = 2*d(g) - 7*l(g). Calculate n(0).
-3
Suppose 0 = -h + 2*b - 3*b + 5, 0 = h + 3*b + 5. Suppose -5*z - 115 = h. Let m = z + 19. Let w(j) = j**3 + 6*j**2 + 6. Calculate w(m).
6
Let u(k) = -k - 1. Let r(s) = s - 5. Let w be r(4). Let v(q) = -4*q - 12. Let y(p) = 2*p**2 - 9*p + 10. Let a be y(4). Let o(n) = a*u(n) + w*v(n). Give o(4).
-2
Suppose -4*v = -0*v - 12. Suppose 6*r = v*r + 6. Let y(k) = -3*k**2 + 0*k**r + k**3 + 6 - 8. Give y(3).
-2
Let c(q) = -17*q**2 + 34*q + 3. Let o(g) = -12*g**2 + 23*g + 2. Let l(k) = 5*c(k) - 7*o(k). Give l(10).
-9
Suppose -16*o - 34 = 3*u - 15*o, -2*o - 24 = 2*u. Let p(f) = 2*f**2 + 21*f - 18. Give p(u).
-7
Let h(z) = 10 - 4 + 9 - 11*z + z**2. Let t be h(11). Suppose u - 5*d + 2 = -1, -2*d = -5*u - t. Let c(m) = -2*m + 3. Give c(u).
9
Let a(j) = j**3. Let u be ((42/(-7))/(-6))/((-1)/11). Let p be (-20)/u + (-12)/(-66). Determine a(p).
8
Let f(h) = -h**3 + h**2 - h. Let b(o) = o**2 + 3*o - 3. Let u(t) = -b(t) -
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 148*b. Let z(j) = s(j) - 12*w(j). Let q(h) be the second derivative of -7*h**3/6 + h. Calculate z(q(n)).
21*n
Let t(u) = -1285*u**2. Let s(g) = -82*g. Determine s(t(b)).
105370*b**2
Let g(x) = 7*x. Let t(o) = 928*o + 111. Give g(t(q)).
6496*q + 777
Let p(q) = 2*q**2. Let v(u) be the third derivative of 0 + 0*u**3 + 0*u + 9/10*u**5 + 27*u**2 + 0*u**4. Calculate p(v(f)).
5832*f**4
Let z(a) = -3*a. Let h(t) = -157778*t. Calculate z(h(j)).
473334*j
Let v(j) = -2*j - 8. Let z be v(-6). Let n be 1/(-4*z/(-32)). Let l(t) = -31*t + 2 - n + 28*t. Let k(u) = -u. Calculate l(k(o)).
3*o
Let r(g) = 5. Let d(a) = a + 25. Let y(p) = 2*d(p) - 10*r(p). Let f(q) = 181*q + 2. What is y(f(l))?
362*l + 4
Let z(u) = 3*u. Let p(d) = -91*d**2 + 26. Determine p(z(h)).
-819*h**2 + 26
Let s(x) be the third derivative of x**4/3 + 3*x**2. Suppose 5*d - 4640 = -2*l, -4*d - 4*l + 367 + 3357 = 0. Let n(w) = d - 3*w - 926. Give n(s(q)).
-24*q
Let a(f) = 67349*f**2. Let h(z) = -3*z. Calculate h(a(p)).
-202047*p**2
Let r(x) = 5*x + 6. Let o(s) = 42*s + 51. Let l(y) = 6*o(y) - 51*r(y). Let u(z) = 48*z. What is u(l(d))?
-144*d
Let c be ((-6)/(-162))/(4/18). Let h(i) be the second derivative of 3*i + c*i**3 + 0 + 0*i**2. Let t(a) = -6*a. Give h(t(v)).
-6*v
Let z(s) = 4*s - 24. Let b(x) = 3*x + 44. Let g(i) = i + 16. Let y(t) = -4*b(t) + 11*g(t). Determine y(z(l)).
-4*l + 24
Let o(s) = -2*s. Let t be 1/((-3)/(-60)*4). Let u(i) = -4*i - 6*i - 10*i + t*i. Determine u(o(n)).
30*n
Let v(t) = t**2. Let q = -86 - -88. Let i(o) = 1387*o - 1387*o - q*o**2. Calculate i(v(h)).
-2*h**4
Let l(r) be the second derivative of 4*r**3 + 2*r. Let n(s) = -1069360 + 1069360 + 2*s**2. Give n(l(p)).
1152*p**2
Let l(z) = -2*z - 1993. Let j(c) = -120*c**2 + 2*c. Give l(j(i)).
240*i**2 - 4*i - 1993
Let h(o) = -39*o**2 + 5. Let i(r) be the second derivative of 44*r**4/3 - 11*r**2 + 39*r. Let b(u) = -22*h(u) - 5*i(u). Let d(g) = g. What is b(d(m))?
-22*m**2
Let l(x) = 282 + 284 + 27*x - 566. Let o(p) = 2*p. Let s(z) = -z. Let a(k) = -o(k) - s(k). Give l(a(g)).
-27*g
Let s(p) = -61*p. Let l(j) = 1220*j. Calculate l(s(k)).
-74420*k
Let k(v) = -7*v**2. Let d(u) = -3*u - 753. Determine k(d(i)).
-63*i**2 - 31626*i - 3969063
Let i(o) = 3*o - 2. Let z(m) = 4*m + 152. Determine z(i(u)).
12*u + 144
Let p(w) = -4*w**2. Let o(z) = 13*z**2 + 5*z. Let i(y) = -6*y**2 + 15992 - 15992 - 2*y. Suppose 0 = b - 3 + 1. Let g(m) = b*o(m) + 5*i(m). What is g(p(c))?
-64*c**4
Let y(l) = 4*l**2. Let k(u) = 43*u - 12. Let p(z) = 4300*z - 1204. Let t(s) = 301*k(s) - 3*p(s). What is y(t(w))?
7396*w**2
Let c(s) = 33*s - 9. Let m(t) = 16*t - 5. Let y(w) = 5*c(w) - 9*m(w). Let u(g) = g + 1. Let z(a) = -3*a - 2. Let l(i) = 6*u(i) + 3*z(i). What is l(y(b))?
-63*b
Let m(j) be the third derivative of 0 + 0*j + 7/60*j**5 + 0*j**3 - 2*j**2 + 0*j**4. Let i(z) be the second derivative of -z**4/6 - 26*z. Calculate i(m(f)).
-98*f**4
Let x(o) = 98*o**2. Let l(v) = 4205*v**2. Calculate x(l(p)).
1732838450*p**4
Let k(o) = 2391*o - 14. Let c(a) = -6*a. Determine k(c(q)).
-14346*q - 14
Let h(k) = -12*k**2. Let v(u) be the second derivative of u**4/6 + 23*u**2 - 2*u + 8. Let a(o) be the first derivative of v(o). What is a(h(g))?
-48*g**2
Let j(z) = -3*z. Let o(t) = 701*t. Let k(h) = -2*j(h) - o(h). Let s(a) = a. What is s(k(y))?
-695*y
Let g(z) = -13*z - 2436. Let j(b) = b. Determine g(j(y)).
-13*y - 2436
Let m be (-1)/2*2*-2. Let i = m + 0. Let q(t) = 8*t**i + 9*t**2 - 16*t**2. Let h(p) = 3*p**2. Give q(h(g)).
9*g**4
Let x(c) = c - 425396. Let z(g) = 2*g**2. Determine x(z(b)).
2*b**2 - 425396
Let m(j) = 32*j - 11. Let o(q) = -12*q - 5. Let a be o(-3). Let d = a - 42. Let f(n) = 11*n - 4. Let v(s) = d*f(s) + 4*m(s). Let b(r) = -2*r. Determine v(b(x)).
-14*x
Let v(r) = 4*r. Let n(i) = -4*i**2 + 15*i - 270. Determine v(n(p)).
-16*p**2 + 60*p - 1080
Let h(w) = -w**2. Let f(a) = -7*a**2. Let d(c) = -f(c) + 6*h(c). Let y(v) = -16*v**2 - v + 9*v**2 + v. Calculate y(d(l)).
-7*l**4
Let g(m) = m**2. Let d(z) = -18954*z. Calculate g(d(k)).
359254116*k**2
Let i(g) be the second derivative of -g**6/180 - 2*g**3 - 10*g. Let t(u) be the second derivative of i(u). Let h(v) = 5*v**2. What is t(h(a))?
-50*a**4
Let j(f) = -7*f**2. Let t(l) = 0*l + l**2 + 2*l**2 + 4*l. Let h(r) = -3*r**2 - 3*r. Let b(v) = -4*h(v) - 3*t(v). Determine j(b(u)).
-63*u**4
Let p(v) = -310*v - 23. Let f(w) = -3*w. Calculate p(f(r)).
930*r - 23
Let c(d) = 6*d + 5*d**2 - 6*d. Let b(k) = 61*k + 54*k + 63*k - 181*k. Calculate c(b(v)).
45*v**2
Let l(k) = 8 - 26*k - 8 + 29*k. Let h(g) = 37*g**2. Calculate l(h(b)).
111*b**2
Let g = 85 + -80. Let w(i) = g - 5 + 0*i - i. Let k(u) = 7*u. Calculate k(w(v)).
-7*v
Let l(w) be the third derivative of -w**5/60 - w**4 - w**2 - 7*w. Let z(m) = -m**2. Calculate z(l(q)).
-q**4 - 48*q**3 - 576*q**2
Let y(f) = -7*f**2. Let i(o) = 2*o**2 + 107*o - 51. Let a be i(-54). Let k(n) be the first derivative of 0*n**2 + 0*n + 1/3*n**a + 1. Calculate y(k(h)).
-7*h**4
Let h(m) = 25609*m. Let p(y) = 2*y + 147. Give p(h(r)).
51218*r + 147
Let p(c) be the second derivative of 0*c**3 + 0 + 0*c**2 - 5*c - 1/6*c**4. Let s(l) be the second derivative of -5*l**3/6 + 3*l. What is p(s(v))?
-50*v**2
Suppose 1 = 4*l + 3*u - 5, -10 = -4*l - u. Let c(s) = s**2 - l*s**2 + s**2 - 3*s**2. Let g(n) = -4*n**2. What is c(g(b))?
-64*b**4
Let u = 13 - 9. Suppose 2*x - 4*x + u*z = -14, 2*z = -3*x + 5. Let k(c) = -c + 3 - x + 0. Let i(o) = -5*o**2. What is i(k(w))?
-5*w**2
Let g(w) = 3*w**2. Let z(p) be the second derivative of p**5/8 - 10*p**3/3 - 10*p. Let v(r) be the second derivative of z(r). What is g(v(s))?
675*s**2
Let g(y) = -17*y. Let x(j) be the first derivative of 2*j**3/3 + 37. Give g(x(b)).
-34*b**2
Let z(c) = 20*c**2 + 1. Let h(x) = 2*x. Let g(u) = -9*u. Let a(j) = 6*g(j) + 26*h(j). Calculate a(z(k)).
-40*k**2 - 2
Let k(y) = -y. Let h(p) be the third derivative of -16*p**5/15 + 40*p**2. What is k(h(c))?
64*c**2
Let v(d) = -18102*d + 15 + 18056*d - 15. Let h(k) be the second derivative of -k**3/3 + k. Give h(v(r)).
92*r
Let b(d) = 6*d**2. Let w = 279 + -276. Let p(s) be the second derivative of 0 - 1/6*s**w - 6*s + 0*s**2. Give p(b(h)).
-6*h**2
Let j(f) = -40*f**2. Let k(u) = -2*u**2 - 2. Let s(g) = -36*g**2 - 30. Let o(h) = -15*k(h) + s(h). What is j(o(t))?
-1440*t**4
Let d(l) = 18*l. Let n(m) = -3*m**2 - 2*m**2 + 4*m**2 - 3*m**2. Give d(n(q)).
-72*q**2
Let c(u) be the first derivative of 2*u**3/3 - 1. Let p be ((-110)/3)/(8/(-12)). Let s(h) = -3*h**2 + 55*h - p*h. Determine c(s(v)).
18*v**4
Let l(h) = 3*h**2 + 50 - 31 - 19 + 0*h**2. Let k(v) = -10*v. Let y(p) = -70*p. Let o(z) = -30*k(z) + 4*y(z). Give l(o(b)).
1200*b**2
Let v(r) = -4*r. Suppose -2*s = 4*y + y - 20, 0 = 3*s. Let m(l) = -y*l + 3*l - 2*l. Let d(a) = 3*m(a) - 2*v(a). Let t(b) = b. What is d(t(p))?
-p
Let a(d) = -2*d. Let w(g) = -459614*g. Calculate a(w(v)).
919228*v
Let p(t) = -16*t**2 + 51*t**2 - 29*t**2. Let x(i) = -i. Give p(x(w)).
6*w**2
Let o(b) be the third derivative of -b**5/30 - b**2. Let h(y) be the second derivative of 0*y**2 + 0 + 21*y - 5/12*y**4 + 0*y**3. What is o(h(s))?
-50*s**4
Let o(g) = -266*g. Let b(x) = -2*x - 43. Calculate b(o(h)).
532*h - 43
Let s(p) = -6*p**2 - 253*p. Let o(c) = -59*c. Calculate o(s(n)).
354*n**2 + 14927*n
Let t(u) = -2391*u. Let a(q) = 5*q**2 + 4. What is a(t(v))?
28584405*v**2 + 4
Let d(c) = 290*c - 148*c - 158*c. Let w(r) = -7*r. Calculate d(w(x)).
112*x
Let w(u) = -40*u**2 - 10. Let k(f) = 1. Let h(n) = -10*k(n) - w(n). Let p(q) be the first derivative of q**2 - 152. Determine h(p(t)).
160*t**2
Let k(r) = 24*r - 9. Let l(z) = 2*z**2 + 0*z**2 - 11*z**2 + 7*z**2. What is l(k(h))?
-1152*h**2 + 864*h - 162
Let k(l) be the first derivative of -l**3 + 1. Let t(j) = -86*j - 11. Let r(g) = -16*g - 2. Let i(h) = -11*r(h) + 2*t(h). Determine i(k(d)).
-12*d**2
Let r(f) = -23*f + 0*f + 15*f. Let w(l) = 6*l. Determine r(w(d)).
-48*d
Let g(u) = 17*u**2. Let n(t) be the first derivative of t**5/60 + 4*t**3/3 + 15. Let q(o) be the third derivative of n(o). Give q(g(k)).
34*k**2
Let z(o) be the first derivative of -o**2/2 + 196. Let w = 3 - 1. Let k(j) = -12 + w*j + 12. What is k(z(n))?
-2*n
Let m(h) = -h. Let r(i) = -648811*i**2. Calculate m(r(b)).
648811*b**2
Let b(r) = 4*r + 1. Let o(t
|
{
"pile_set_name": "DM Mathematics"
}
|
w - 0*o + 85. What is the units digit of w?
5
Let b(g) = -3*g - 2. Let l be b(-4). Let s = -4 + l. Let p(y) = -y**2 + 7*y + 8. What is the tens digit of p(s)?
1
Let i(t) be the second derivative of 4*t**3/3 - t**2/2 - 3*t. Let a be i(-5). Let k = a - -58. What is the units digit of k?
7
Let m = 46 - 105. Let c = m - -85. What is the tens digit of c?
2
Let j(w) = 2*w - 3. Let c be j(4). Suppose -h + c = -7. What is the units digit of h?
2
Let j(k) = -k - 10. Let d(l) = 2*l + 1. Let g be d(-4). Let a be j(g). What is the units digit of 11*a/(-3 - 0)?
1
Let j(s) = 3*s**3 - 4*s**2 + s + 2. Let k be j(3). Let w = k + -20. What is the units digit of w?
0
Suppose -2*a = 5*p - 370, 0*p + a = 5*p - 355. Suppose -128 = -5*l + p. What is the units digit of l?
0
Suppose 4*r - 68 = -0*r. Suppose 5*z = -2*g - r, 3*z + 30 = 2*g + 7. Suppose g*t - 7*t + 33 = 0. What is the units digit of t?
1
Let d = 50 - -9. What is the tens digit of d?
5
Suppose 22 = 5*y - 23. What is the units digit of y?
9
Suppose 0 = -r - r + 12. What is the units digit of r?
6
Let v(y) = y**3 + 7*y**2 - 4*y + 1. What is the tens digit of v(-6)?
6
What is the units digit of (-770)/(-33)*3/2?
5
Let w(m) = m**3 + 8*m**2 + m + 1. Let c(g) = g**3 + 9*g**2 + g + 2. Let n(z) = 3*c(z) - 4*w(z). Let r = 9 + -14. What is the units digit of n(r)?
7
Suppose 5*l - 4*u = 22, l - 2*u = -3*l + 14. Suppose l*p = -z + 28, -2*z = 2 - 6. What is the tens digit of p?
1
Suppose 0 = 2*j - k - 75, 2*k = 3 + 3. What is the units digit of j?
9
What is the units digit of (-519 + (-1)/1)*118/(-295)?
8
Let f(k) = 2*k**3 - 2*k**2 + 2*k + 4. What is the units digit of f(3)?
6
Suppose 0 = -f - 0*f - 3. Let h = f + 10. What is the units digit of h?
7
Let s(o) = o**3 - 2*o**2 + 2*o - 2. Let w(m) = m + 4. Let t be w(-3). Let p = 1 + t. What is the units digit of s(p)?
2
Suppose -u = -2*u - 5*w - 23, u = 5*w + 27. Suppose -5*c - 2*z = 23, -2*c - u*z - 9 + 1 = 0. Let y(s) = -s + 2. What is the units digit of y(c)?
7
Suppose 2*z - 230 = -3*z. What is the units digit of z?
6
Suppose f - 3*f = 5*h - 10, 0 = -5*h + f + 10. Let t(l) = 5*l - 2. Let z be t(6). Suppose 2*n - h*s = z, 4*s + 22 = n - s. What is the units digit of n?
2
Let d(l) = 3*l - 5. Let b be d(-9). Let q be b/(-18) + 4/18. Suppose -3 = -q*i + 5. What is the units digit of i?
4
Let q be 3*(0 + 2/6). Suppose -d + 6 = -q. What is the units digit of d?
7
Let r(h) = h - 8. Let c be r(4). Let q(x) = x**3 + 4*x**2 - 5*x - 6. Let k be q(c). Let n = -7 + k. What is the units digit of n?
7
Suppose 4*j - 17 = 15. What is the units digit of j?
8
Suppose -4*v + 257 = 97. What is the units digit of v?
0
Let i(b) = b**3 + 7*b**2 - 8*b + 3. Let q be i(-8). Let s = 19 - q. What is the tens digit of s?
1
Suppose -478 = -3*c + 2*m, 3*c + 3*m - 267 = 201. What is the tens digit of c?
5
Let m(n) = -n**3 + 4*n**2 - 3*n. Let c be m(3). Let x(f) = -f + 19. What is the tens digit of x(c)?
1
Let w(r) = -9*r**3 - r**2 + 5*r + 5. What is the tens digit of w(-2)?
6
Suppose -5*l = 8 - 43. Suppose -2*s + 17 + 25 = 0. Let r = s - l. What is the units digit of r?
4
Let w = -4 + -2. Let i = w + 14. What is the units digit of i?
8
Let g(z) = 4*z**2 - 11*z + 26. What is the hundreds digit of g(9)?
2
Let q(z) = -7*z**2 + 5 + 0*z + z**3 + 0*z**3 + 6*z + z. Let o be ((-18)/(-4))/((-6)/(-8)). What is the units digit of q(o)?
1
Let l(v) = -58*v**2 - v. Let g be l(1). Let m = -33 - g. What is the units digit of m?
6
Let i = 47 + -23. Let q = -14 + i. What is the units digit of q?
0
Let c(k) = -k**3 + 6*k**2 + k + 1. Let w be 5 - (-1 - (1 - 1)). Let m be c(w). What is the tens digit of 79/m - 2/7?
1
Let r = -111 - -156. Suppose 4*n - r = -1. What is the tens digit of n?
1
Let u be ((-2)/(-4))/((-2)/(-8)). Suppose -36 = -3*g + u*i, i - 17 = -0*g - 2*g. What is the tens digit of g?
1
Suppose -h + 2*c + 0*c + 271 = 0, 3*c = -2*h + 507. What is the tens digit of h?
6
Suppose -n + 916 = 4*v + 3*n, n - 685 = -3*v. What is the units digit of v?
8
Suppose -66 = s - 357. What is the hundreds digit of s?
2
Let h be -2 + (-1 + 0 - -5). Let a(x) be the first derivative of 2*x**3/3 - x**2 + 3*x - 3. What is the units digit of a(h)?
7
What is the tens digit of 20/1 - (0 - 1)?
2
Let y(r) = r**2 + 7*r + 4. Let m be y(-3). Let j(b) = b**2 + 7*b - 4. Let g be j(m). Suppose 0 = 6*h - 5*h - g. What is the units digit of h?
4
Let y(p) = -115*p - 1. What is the units digit of y(-1)?
4
Suppose -n = 3*n - 132. What is the units digit of n?
3
Suppose 0 = -b + 356 - 82. What is the units digit of b?
4
Let z = -8 + 4. What is the tens digit of z/(-20) - (-248)/10?
2
Suppose -11*l - 136 = -19*l. What is the units digit of l?
7
Let u(p) = -p**2 - 10*p - 2. Let g be u(-10). What is the units digit of ((-2)/g)/(1/34)?
4
Suppose 0 = 4*d - 3 - 13. Suppose -d*u + 3 = -7*u. Let p = u + 6. What is the units digit of p?
5
Let r(f) = f**2 + 8*f + 1. Let m be r(-6). Let g be 2/6 - m/3. Suppose c + 4*x - 4 = 10, -g*x - 26 = -3*c. What is the tens digit of c?
1
Let w(h) = -6*h - 10. Let z(k) = 14*k + 9. Let n(p) = -7*p - 4. Let o(s) = 11*n(s) + 6*z(s). Let l(i) = -5*o(i) - 6*w(i). What is the units digit of l(-6)?
4
Suppose 2*r = -3*v + 13, -3 = -2*v - 4*r + 3. What is the units digit of (-64)/(-40) - (-2)/v?
2
Let m(j) = -j - 4*j + 4*j + 4. Let l(w) = w**2 - 13*w + 14. Let b be l(12). What is the units digit of m(b)?
2
What is the units digit of (-1)/((1/(-6))/1)?
6
Suppose 2*t + 2*x = 224, -t + 31 = -4*x - 61. What is the tens digit of t?
0
Let x(u) = 116*u**3 - 2*u**2 + 1. Let i be x(1). Suppose 4*n = -31 + i. What is the units digit of n?
1
Let m(y) = -y**2 - 5*y + 3. Let w be m(-5). Let q(o) be the second derivative of -o**4/12 + 5*o**3/6 - 9*o. What is the units digit of q(w)?
6
Let l be 1 + 7/(28/(-60)). Let z = l - -16. What is the units digit of z?
2
Let l(u) be the second derivative of 11*u**3 - 3*u**2 - 2*u. Let v be l(-5). What is the units digit of v/(-33) + (-4)/22?
0
Suppose 76 = 2*j + 3*s, j = s + 20 + 28. Suppose 0 = -4*o + 23 - 3. Suppose o*y = y + j. What is the units digit of y?
1
Let g(m) = m**2 - 4*m + 3. Let l be g(4). What is the tens digit of -14*(l - (-132)/(-28))?
2
Suppose -d = -0*d + 5*i - 8, 0 = 5*d + 2*i - 132. Let x = d + -17. What is the tens digit of x?
1
Let v be 186/24 - (-2)/8. Let i = v - 4. Suppose -51 = -4*t + i*x + x, -9 = 3*x. What is the units digit of t?
9
Let x be 1/5 + 87/15. Suppose -m + 12 = -x. What is the tens digit of m?
1
Let p(f) = 10*f**3 + 21*f**2 + 17*f + 16. Let o(a) = 3*a**3 + 7*a**2 + 6*a + 5. Let g(b) = -7*o(b) + 2*p(b). What is the units digit of g(-6)?
9
Let x(b) = -1 + b + 0*b + 6. What is the units digit of x(0)?
5
Suppose -2*f - f - 9 = 0. Let c = f + 4. What is the units digit of ((-1)/(-1) - 0)/c?
1
What is the units digit of (58 + -1)/((-3)/(-2))?
8
Let q(j) = -j**3 + 3*j**2 + 4. Let w be q(3). Suppose r = w*r - 6. Suppose 27 = r*u + 2*y + y, -3*y + 72 = 5*u. What is the tens digit of u?
1
Let u = -44 + 102. What is the tens digit of u?
5
Let a(x) = x**3 + 10*x**2 - 12*x. Let n be a(-11). Let w = n - 10. What is the units digit of w?
1
Suppose 3 + 1 = -4*y. What is the tens digit of (4/(4/(-29)))/y?
2
What is the units digit of -1*8/2*-1?
4
Let z = 1 - -26. What is the units digit of z?
7
Suppose 5*w = 4*w + 7. Suppose -5*a + 5*j + 60 = 0, 2*a - w = 5*j + 17. Suppose d - a = -0*d. What is the units digit of d?
2
Let l be -1 + (0 - 2)*4. Let m(v) = v**2 + 8*v - 5. Let k be m(l). Suppose k*i - 2 = 6. What is the units digit of i?
2
Suppose -3*o = -4*t + 19, 2*o + 0 + 6 = -4*t. Suppose -m = t - 3. Let r(y) = y**2 - 2*y + 2. What is the units digit of r(m)?
2
What is the units digit of (-44 + (1 - -2))/(-1)?
1
Suppose 3*v - 12 = 0, 2*k = 5*k + v - 19. Suppose -k*m + 2 = -4*m. What is the units digit of m?
2
Suppose b + 4 = -3*s + 73, 0 = -4*b - 2*s + 256. What is the units digit of 4/6*b/6?
7
Suppose 0*g - g + 385 = 3*k, k + 2*g = 125. What is the units digit of k?
9
Let h(u) = 3*u**2 - 1. Let l be h(2). Let r(n) = -n**2 + 11*n + 9. What is the units digit of r(l)?
9
Let o be (-1)/2 + 71/2. Let w = -25 + o. Suppose 2*a - 4*c + 2 = 0, 5*c - w = -2*a - 3*a. What is the units digit of a?
1
Let x(o) = o**2 - 5*o - 4. Let g be x(-3). Suppose -5*y + 0 - g = 0. Let p = y + 6. What i
|
{
"pile_set_name": "DM Mathematics"
}
|
-452 + 694. Is z a multiple of 11?
True
Suppose -2117 = -12*i - 665. Does 29 divide i?
False
Let l(q) = 17*q + 7. Let t(j) = 2*j - 8. Let r(s) = s - 1. Let d(x) = 12*r(x) - 2*t(x). Let n(i) = -7*d(i) + 3*l(i). Is n(-5) a multiple of 10?
False
Let t(b) = -74*b - 1040. Is 7 a factor of t(-15)?
True
Does 20 divide ((-28)/16 - 6)*-160?
True
Let f(a) = -2*a**3 - 11*a**2 - 4*a + 15. Suppose 3 + 4 = -c. Is f(c) a multiple of 10?
True
Suppose -2*o + 3*m + 52 = 0, 0 = -5*o - m - 2*m + 109. Is 4 a factor of o?
False
Suppose 6*u = 5*u + 77. Let g = -17 + u. Does 5 divide g?
True
Suppose 4*c - 2006 = 2*w, -894 - 613 = -3*c + w. Is 56 a factor of c?
True
Let a be 2*(0 - -2) + 11. Let y(z) = -2*z + 15. Let q be y(8). Is (q + 3)/(3/a) a multiple of 5?
True
Let m be (-1)/6 - -86*3/36. Suppose 0 = -4*f - 5*h + 285, m*f - 4*f = 5*h + 205. Is 10 a factor of f?
True
Let p be -1 + 4 - 15/(-5). Suppose 0 = p*w - 4*w + 2. Is 22 a factor of (21*-2)/w + 2?
True
Suppose -3*r + 7 = 43. Let n be 0 - -3 - r/(-3). Does 7 divide 54/(4 + n) + 3?
True
Let x = 3 + 0. Suppose x*p = -94 - 110. Let j = p - -128. Is 12 a factor of j?
True
Suppose -43*x + 44*x = 279. Does 10 divide x?
False
Let i(p) = 3*p**2 + 6*p - 13. Let v be i(15). Suppose -1808 - v = -16*z. Is 10 a factor of z?
True
Let n be (-3)/(-7) + -3*(-1048)/(-84). Let l = -6 - n. Is 7 a factor of l?
False
Let w(h) = -1 - 2*h**2 - 12*h + 11*h**2 - 6 + 3 - h**3. Does 3 divide w(7)?
False
Let j(g) be the first derivative of 7*g**3/3 - g**2/2 - 2*g + 8. Is 8 a factor of j(2)?
True
Let s(d) = -2*d + 20. Let f be 1/8*4*0. Suppose 3*j + j + 32 = f. Does 9 divide s(j)?
True
Let f(z) = -8*z - 2. Let w(s) = 16*s + 5. Let o(g) = 9*f(g) + 4*w(g). Does 6 divide o(-2)?
True
Does 15 divide ((-31)/4 - 0)/(6/(-192))?
False
Let k(q) = q**2 + 15*q - 59. Is k(-27) a multiple of 22?
False
Does 8 divide ((-224)/(-84))/(1/(3*33))?
True
Let d(r) = 152*r + 25. Is 22 a factor of d(2)?
False
Let i = 54 + 58. Suppose -2*r - 40 = -4*x + 116, -3*x + 4*r + i = 0. Does 11 divide x?
False
Let a(x) = -23*x**3 - 3*x**2 + x + 1. Let c be a(1). Let l = 16 - c. Is l a multiple of 8?
True
Let w = 1865 + -1333. Is 14 a factor of w?
True
Let l be (-4)/(2 + (-36)/16). Suppose -t - l = -5*t. Suppose 0*y + 163 = 3*y - 2*i, 0 = t*y - 5*i - 208. Is 17 a factor of y?
False
Suppose 0 = -3*r + 2*r + 3*d + 2274, -4*d = -3*r + 6832. Suppose -h + r = -5*h. Does 5 divide h/(-45) + 4/(-6)?
False
Let g(i) = -i**3 + 7*i**2 + 8*i - 8. Let z = 22 + -19. Suppose z*h - 35 = -2*h. Is 12 a factor of g(h)?
True
Let z = 690 - 688. Let v be 2*2*1/2. Is 8 a factor of v*(-2 - -7)*z?
False
Let i = -83 + 80. Let a = 62 - -70. Is i - a/(0 - 4) a multiple of 15?
True
Let j(k) = 184*k + 202. Does 22 divide j(16)?
True
Let l(h) = 13*h**2 + 16*h + 1. Let p be l(-4). Let k = p + -25. Is 12 a factor of k?
True
Let l = -773 + 1498. Does 6 divide l?
False
Let z(q) = q**2 + 8*q + 9. Let v be z(-7). Is v/(-10) + (-488)/(-40) a multiple of 4?
True
Does 20 divide (-84 + -17)*5/(-1)?
False
Suppose -3*w + 371 = 5*u, 4*w - 5*u = 269 + 179. Is w a multiple of 13?
True
Let o(f) = f**2 + f - 12. Let d be o(6). Let r be (d/(-9))/(2/(-204)). Suppose 2*c - r = -3*g, 2*c - 5*c = 3*g - 339. Is g a multiple of 32?
False
Suppose 5*p - 18695 = -5*y, 3*p - 2*y + 3*y = 11225. Is 97 a factor of p?
False
Let t(w) = 5*w**2 + 4*w + 9. Suppose 8*b - 15 = -47. Does 12 divide t(b)?
False
Let r = -460 + 1026. Does 17 divide r?
False
Suppose 5*x = 5*w + 20, 2*w + 2*w = -5*x + 2. Let a be 0 - 0 - (-11 - w). Suppose -27 = a*t - 12*t. Is t a multiple of 9?
True
Let j(m) = 53*m**2 + 25*m + 123. Is j(-6) a multiple of 33?
True
Let a = -19 + -5. Suppose 2*p - 94 - 24 = -4*v, -5*v = p - 62. Let h = a + p. Is 11 a factor of h?
True
Let n(h) = -h**3 - 26*h**2 - 61*h + 96. Does 17 divide n(-24)?
True
Suppose -5*h = 3*j + j - 672, 516 = 4*h - 4*j. Is 27 a factor of h?
False
Let q(t) = -t**3 + t**2 - t - 1. Let c be q(-1). Suppose -2*w = c*w - 224. Suppose -u = u - w. Is u a multiple of 14?
True
Let q(v) = 33*v**3 - v**2 + 19*v - v**2 + 32*v**3 - 66*v**3. Is q(-7) a multiple of 28?
True
Suppose 160*z + 8 = 158*z. Does 10 divide (-18)/36 - (482/z + 0)?
True
Is (-9 + -2 - -220)/1 a multiple of 23?
False
Let y(v) = v**3 - 6*v**2 - 2*v + 5. Let r be y(7). Suppose 2*i + r = 132. Suppose -9 = j - i. Is 26 a factor of j?
False
Let o(m) = -m**2 - 16*m - 8. Let p(b) = 4*b + 6. Let n be p(-5). Let k = n + 4. Is o(k) a multiple of 13?
True
Let a = -325 - -214. Let z = 171 + a. Is z a multiple of 12?
True
Let v = -61 + 63. Suppose -p - v*p + 333 = 5*w, 5*w - 5*p = 325. Is w a multiple of 21?
False
Suppose 0 = 2*i - 5*i + 6. Suppose 5*v - i*v = -2*t + 128, -5*t - 140 = -4*v. Is v a multiple of 10?
True
Let o(z) = z**2 - 15*z - 29. Let l be o(21). Suppose -4*k = -3*i + l, -93 = -3*i - 0*i + 3*k. Is i a multiple of 3?
True
Let c = 3712 - 1164. Does 13 divide c?
True
Let w(c) = c + 0 - 8 - 6*c. Let f be (6/14)/(-1) - 1014/182. Is 11 a factor of w(f)?
True
Suppose -4*a + 2*t + 331 = a, 2*a + t = 127. Is a a multiple of 22?
False
Let z(v) = -v**3 + 8*v**2 + 12*v + 3. Suppose -3*k + 10*k = 63. Is 30 a factor of z(k)?
True
Let f(z) = 459*z - 459*z + 72*z**2. Does 12 divide f(1)?
True
Suppose -10 = 2*a + 2*l, 0 = a - 2*l - 3*l + 5. Suppose 0 = 5*x + 49 - 84. Is a/(-2 + x) + 79 a multiple of 29?
False
Suppose -9*j = 140 + 310. Suppose -3*x + 258 = -0*x. Let d = j + x. Is 21 a factor of d?
False
Is 83 a factor of 1005 + 9/((-72)/(-16))?
False
Let a(b) = 2*b**2 + 5. Is 37 a factor of a(-4)?
True
Let w = -14 + 7. Let o be w/(-21) - 14/(-3). Suppose -o*a = -a - 88. Is 11 a factor of a?
True
Let l be ((-1)/4)/(4/(-48)). Suppose i = l*c - 1 - 1, 2*i = 3*c - 4. Let n = 29 - i. Is 8 a factor of n?
False
Suppose -3*z = 5*z - 5040. Suppose 13*v - 7*v = z. Does 15 divide v?
True
Let y(r) = r**2 + 7*r + 8. Let p be y(-6). Suppose 5*b = 0, -1 - 5 = -p*h + 2*b. Is h a multiple of 3?
True
Let s(i) = 6*i**2 - 4*i + 3. Let j be s(1). Suppose 62 = k - 4*r, -j*r - 60 = k - 2*k. Is k a multiple of 14?
True
Let y(t) = 7*t**2 + 5*t + 216. Does 46 divide y(-14)?
True
Let r be (-1)/(-7) - (-4)/(-28). Suppose -2*j + 4 + 40 = r. Does 8 divide j?
False
Suppose 0 = -3*a - 288 - 783. Let b be 1/(2 + 711/a). Let c = 197 - b. Is c a multiple of 27?
False
Let i(v) = v**3 - 8*v**2 + 3*v + 10. Suppose 26 = 5*y + 4*a, -y - 4*a = -6 - 12. Suppose y*h - 7 = 9. Is 17 a factor of i(h)?
True
Suppose 4*c + 8 = -4*d, -c + d = 3*d + 4. Suppose -4*h = 2*i - 356, c = 5*h - h + i - 352. Suppose 0 = -7*s + h + 88. Does 8 divide s?
False
Let b = -251 + 471. Does 22 divide b?
True
Suppose -4649 = -11*i + 5108. Is i a multiple of 10?
False
Let b = -201 + 216. Is b a multiple of 15?
True
Let y = 1533 + -1132. Does 6 divide y?
False
Suppose -10 = 2*h - 0. Let o be ((-2)/h)/((-5)/275). Is (-2174)/o - (-10)/55 a multiple of 25?
False
Suppose -4*v = -4*o + 332, 3*v - 165 = -2*o + 4*v. Let d = 76 + o. Is 18 a factor of d?
False
Let r be 3 - 53*(3 + -4). Suppose f = 4*a + r, -5*a - 24 = -f + 27. Does 18 divide f?
False
Suppose -674 - 1114 = -3*g. Suppose a = 5*c - g, 0*c + 3*c = -5*a + 380. Does 12 divide c?
True
Let s(n) = -4*n**2 - 2*n + 5. Let h be s(-6). Suppose -4*k - 58 = 254. Let t = k - h. Is 16 a factor of t?
False
Suppose 355 = -3*d - d - o, -d - 2*o = 80. Let f = -46 - d. Is 17 a factor of f?
False
Let k = -57 - -58. Does 8 divide (7 - -31)/(1 + k)?
False
Does 46 divide ((-1)/2)/((-7)/644)?
True
Let r(h) = -h**2 - 9*h + 192. Is 36 a factor of r(8)?
False
Let u = 47 - 42. Suppose 6*k = 3*k - 2*n + 79, 0 = -u*k + 3*n + 119. Is k a multiple of 13?
False
Suppose -5*u - 3*d = -5*d - 276, u - d - 54 = 0. Let a = u + 4. Does 20 divide a?
True
Let i(j) = 12*j**2 + 3*j + 2. Suppose -17*g + 4 = -19*g. Is 11 a factor of i(g)?
True
Suppose -15 = -3*i - 0*i. Suppose w + 232 = 4*y, 0 = -y - 2*y + i*w + 191. Let u = y + -39. Is u a multiple of 6?
True
Let u be (-4 - (-21 - -4))*1. Let f(r) = 9*r - u + 1 + r. Is f(6) a multiple of 12?
True
Let r(c) = -11*c + 5. Let w be r(3). Suppose 123 = -2*s - 3*q, -5*q = -5*s - 259 - 36. Let z = w - s. Is z a multiple of 5?
False
Let c = 7 + -18. Let i = c - -15. Suppose q + i*q + 3*m = 264, -5*q + m = -252. Is q a multiple of 17?
True
Suppose 2*x = 4*a - 2216, -12*x = a - 16
|
{
"pile_set_name": "DM Mathematics"
}
|
n - 1. Let a be d(v). What are the prime factors of 19 - (a + (-3)/(-3))?
3, 7
Let c(w) = -4*w**2 - 3*w + 12. Let h(z) = -9*z**2 - 5*z + 25. Let x(d) = 7*c(d) - 4*h(d). List the prime factors of x(-5).
3, 7
Let n(q) = q**2 + q + 6. Let s be n(13). Suppose -5*j = -4*j + 5*o - 88, -2*j = 4*o - s. List the prime factors of j.
2, 7
Let d = 35 - 26. Suppose d*m = 333 + 162. What are the prime factors of m?
5, 11
Suppose 17*c + 187704 = 83*c. List the prime factors of c.
2, 3, 79
Suppose -4*p + 2616 = 4*p. List the prime factors of p.
3, 109
Suppose -55 = -5*d + 5*c, -4*c = 3*d + 9 - 49. Let y = d - -35. Let k = y - 21. What are the prime factors of k?
2, 13
Let x be 127/5 + 9/(225/(-10)). What are the prime factors of ((-106)/5)/((-5)/x)?
2, 53
Suppose -5*s + 3582 = -l, 14*s + 2*l = 9*s + 3576. List the prime factors of s.
2, 179
Let z(l) = -2*l**2 + 15*l + 21. Let v(r) = r**2 - 8*r - 11. Let u(f) = -11*v(f) - 6*z(f). Let i = -5 + 15. List the prime factors of u(i).
3, 5
Suppose 337 - 1247 = -7*b. Suppose -b = -3*m + 3*p + 104, 2*p - 136 = -2*m. What are the prime factors of m?
73
Let t = -14 + 10. Let y be 166/8*t/(-1). Suppose -2*q + y = 17. List the prime factors of q.
3, 11
Suppose 0 = 2*h - i - 134, 5*h + 0*h - 5*i = 325. Suppose 0 = 4*y - 3*y - h. List the prime factors of y.
3, 23
Let h = 43 - 27. Suppose -4*s + h = -0*s. Let q(g) = -g**2 + 10*g + 2. List the prime factors of q(s).
2, 13
Let h = 436 - 18. What are the prime factors of h?
2, 11, 19
Let u(y) = -235*y + 688. What are the prime factors of u(-5)?
3, 23
Suppose -13*h + 10277 = 5*u - 9*h, -2*u + 4104 = 5*h. List the prime factors of u.
11, 17
Let c be 1*(-1 + 0)*-2. Let y be 1 - (c/(-1) - 2). Suppose -r = 4*s - 7, -s + y*s = -2*r + 34. List the prime factors of r.
3
Let t(j) = -4*j + 4*j - 5 + 3*j. Suppose 5*u + 30 = 5*d, -5*d + 4*u + 16 = -12. List the prime factors of t(d).
7
Let m(h) = 152*h**3 + 3*h - 3. What are the prime factors of m(1)?
2, 19
Let u(d) = 12*d**2 - 7*d + 2. Let m = 95 + -91. What are the prime factors of u(m)?
2, 83
Let z be 2*((-9)/12*2)/(-3). Suppose -3*x + 183 = 4*a, 3*x + z = 4. What are the prime factors of a?
3, 5
Let o = -1964 - -3736. List the prime factors of o.
2, 443
Suppose -11 - 9 = -5*q. Suppose -q*o + 335 = -5. List the prime factors of o.
5, 17
Suppose -5*x - 80 = -0*x. List the prime factors of x/(-20) - (-536)/5.
2, 3
Let s(f) = 318*f**3 - 2*f**2 - 3*f + 2. What are the prime factors of s(1)?
3, 5, 7
Suppose -46*t + 21852 + 53312 = 0. List the prime factors of t.
2, 19, 43
Let k(v) = v**3 + 17*v**2 - 18*v - 24. List the prime factors of k(-13).
2, 443
Let u = 156 - -74. List the prime factors of u.
2, 5, 23
Let w(h) = h**3 + 7*h**2 + 8. Let a be -1 + 1 - (-2 - -9). Let x be w(a). Suppose -32 = -y - x. What are the prime factors of y?
2, 3
Let x(t) = -5 + 0 - 13 + 5*t + 2*t. List the prime factors of x(12).
2, 3, 11
Suppose -3*i = i + 728. Let k = i + 327. List the prime factors of k.
5, 29
Let f be (6/(-8))/(2/(-160)). Suppose 3*m = -m + f. Suppose 3 + m = t. List the prime factors of t.
2, 3
Suppose -5*d = -3*o + 7187, -2393 = -250*o + 249*o + 3*d. List the prime factors of o.
2399
Suppose -5*a + 36 = -a. Let o be (-9)/(a/(-2)) - 2. Suppose -3*l + 12 - 3 = o. List the prime factors of l.
3
Suppose -v + 5*h = 64 - 512, 1792 = 4*v - 2*h. List the prime factors of v.
2, 7
Let h(f) = 2*f - 12. Let u be h(9). Let n be (0 + (-4)/(-8))*u. List the prime factors of n*(-22)/(-3) + -3.
19
Let q(z) = z + 1. Let o be q(1). Suppose 4 = -3*s + 4*s. Suppose -2*u - o*i = -u - 33, 0 = -s*u + 3*i + 88. What are the prime factors of u?
5
Let b(l) = -l**3 - 9*l**2 + 4*l - 4. Let m be -11 - 2*4/(-8). Let c be b(m). What are the prime factors of c/10*(5 + 0)?
2, 7
Suppose 0 = -20*w + 5*w + 35775. List the prime factors of w.
3, 5, 53
Let a = -165 + 365. Let d(m) = m**3 - 6*m**2 + 5*m - 6. Let r be d(5). List the prime factors of r/4 + a/16.
11
Suppose -4*n + 8 = 0, -3*r - 5*n + 1910 = r. What are the prime factors of r?
5, 19
Let d = -1504 + 2645. List the prime factors of d.
7, 163
List the prime factors of (285/6)/(-3 + (-254)/(-84)).
3, 5, 7, 19
Suppose 2712 = -8*z + 11704. What are the prime factors of z?
2, 281
Suppose 5*m = 448 + 182. Suppose 9*h + m = 12*h. What are the prime factors of h?
2, 3, 7
Let z(g) = -g**3 - 6*g**2 + 5*g - 23. List the prime factors of z(-9).
5, 7
Let b(h) = -2*h + 34. Let f be b(15). Suppose -312 = -f*g + 3*x, 7*g + 4*x = 4*g + 234. What are the prime factors of g?
2, 3, 13
Suppose 3*t + t + 31 = -3*f, 5*t + 53 = f. Let q(a) = 5*a**3 + 8 + 6*a - 4*a**3 + 4*a + 11*a**2. What are the prime factors of q(t)?
2
Suppose 35 = -w + 188. Let j be (1 + -2)*(-6)/2. Suppose -6*p = -j*p - w. List the prime factors of p.
3, 17
Let p(z) = -43 + 41 + 0*z - z + 5*z. What are the prime factors of p(2)?
2, 3
Suppose 15*m = -6*m + 1134. List the prime factors of m.
2, 3
Let u(n) = 11*n**2 + 4*n + 3. Let x be 6/(-4)*(4 + 16/(-6)). List the prime factors of u(x).
3, 13
Let s(l) = l**3 - 4*l**2 - l - 5. Let h be s(5). Let p = h + -21. Let q(v) = -5*v + 17. What are the prime factors of q(p)?
47
Suppose q = 3*v - 148, -11*v + 9*v + 2*q = -100. Suppose -2*h + v = -153. List the prime factors of h.
101
Let r(d) = 56*d**2 - d + 10. List the prime factors of r(-5).
5, 283
Let l be -448 - (-4 + (1 + -2 - -3)). What are the prime factors of (2/(-3))/2 + l/(-6)?
2, 37
Let i(r) = -158*r - 263. What are the prime factors of i(-10)?
3, 439
Suppose -3*x - c + 3754 = 0, -3*x - 21*c + 3748 = -17*c. List the prime factors of x.
2, 313
Let u be 17/(-5) + (-18)/(-45). Let b(x) be the third derivative of x**5/60 - x**4/24 + x**3/6 + x**2. List the prime factors of b(u).
13
Suppose -m = 4*j - 85, 8 = -j + 2*m + 18. List the prime factors of (-21 - (0 + -1))*j/(-4).
2, 5
Let w be (-3 + 3)/(1*(-3 + 2)). Suppose -2*d + 4*a + 128 = w, 4*d + a - 64 = 3*d. What are the prime factors of d?
2
Suppose 4*l = -7*y + 10*y + 16, 2*y - 4*l = -12. List the prime factors of 2/y*((-3 - 6) + 3).
3
Let s(c) = -c**2 - 11*c - 2. Let o be s(-4). Suppose 0 = -o*d + 22*d + 232. List the prime factors of d.
2, 29
Let v be (-7 - 7)*6/(-4). Let z be 2/6 - (-1778)/v. Suppose -4*y - 3*d = -z, -3*y - 2*d + d + 60 = 0. List the prime factors of y.
19
Let d(o) = o**2 + 3*o - 2. Suppose 5*w - 3*p = -19, 10*p - 5*p + 35 = -5*w. Let f be d(w). Suppose 0 = i + 3*i - f. What are the prime factors of i?
2
Suppose 0 = -3*d + 15, -6*a - d = -2*a - 2617. What are the prime factors of a?
653
Suppose 3*f = f - 3*n + 3885, 4*n - 12 = 0. What are the prime factors of f?
2, 3, 17, 19
Suppose g + 1 = -y - 3*g, 0 = -5*g - 20. Suppose y*i + 24 = 18*i. What are the prime factors of i?
2
Suppose o + 2*o + 2*t = 565, -562 = -3*o - 5*t. Suppose -4*d - q = -o, 2*d + 3*q - 98 = -q. List the prime factors of d.
47
Let b = 415 - 183. List the prime factors of b.
2, 29
Suppose 0 = 4*x - 9*x + 4*k + 2085, 0 = 5*x + k - 2110. List the prime factors of x.
421
Let o(c) = c + 1. Let i(b) = 148*b + 222. Let n(u) = -i(u) + 222*o(u). What are the prime factors of n(2)?
2, 37
Let f(w) = 12*w + 1. Let o be f(5). Let y = o + -107. What are the prime factors of (0 - 2/4)*y?
23
Suppose 2*s = s + 1697. Let c = 1099 - s. List the prime factors of c/(-13) - -1*1.
47
Suppose 0 = -o - 3*t + 367, 0 = 4*o - 3*o + 2*t - 365. List the prime factors of o.
19
Let y = 1617 - 1140. What are the prime factors of y?
3, 53
Let a(j) = -j**3 - 2*j**2 + 6*j + 6. Let h be a(-6). Suppose 0 = -2*n - 10, -h - 30 = -4*y - 4*n. What are the prime factors of y?
41
Let u(d) = -d - 1. Let t(g) = 3 + 0 + 4 - 5. Let i(j) = -2*t(j) - 3*u(j). What are the prime factors of i(9)?
2, 13
Suppose 8*y - 20 = 3*y. Suppose -y*x = -x - 27. Let n = x - 5. What are the prime factors of n?
2
Let y = -2656 - -3834. List the prime factors of y.
2, 19, 31
Let c = 17 + -14. Let d = -1 + c. What are the prime factors of 4/(0 - d/(-17))?
2, 17
Let k(d) = -d - 5. Let m be k(-3). Let r be (m/5)/((-7)/35). Suppose r*b - 112 = -3*p, 9 = 4*b - 11. What are the prime factors of p?
2, 17
Let l(b) = -414*b + 31. Let a(k) = 83*k - 6. Let f(n) = -11*a(n) - 2*l(n). List the prime factors of f(-3).
7, 37
Suppose -3*s - 91 = 2. Let w = s - -13. Let h = w + 25. List the prime factors of h.
7
Let w(v
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{
"pile_set_name": "DM Mathematics"
}
|
7*x(q).
6464*q**3
Let b(v) = 2*v**3 + v - 4. Let t(g) = 7*g**3 + 7*g - 27. Determine -35*b(u) + 5*t(u).
-35*u**3 + 5
Let b(i) = -691 - 674 + 1365 - 8*i**2. Let k(f) = f**2. Calculate -b(v) + 6*k(v).
14*v**2
Let r(l) = l + 2. Let k(d) = -4. Suppose -4*v + 5*v = -5*y - 8, 2*y - 13 = 5*v. Let m(t) = y*k(t) + r(t). Let f(c) = -5. Determine -5*f(w) - 4*m(w).
-4*w + 1
Let j(u) = 5*u**2 - 10*u - 5. Let b(m) = 26*m**2 - 52*m - 24. Calculate 3*b(x) - 16*j(x).
-2*x**2 + 4*x + 8
Let x(b) = -1412*b**3 + 3*b**2 - 4*b + 15. Let g(w) = -w**3 + w**2 - w + 3. Calculate 5*g(c) - x(c).
1407*c**3 + 2*c**2 - c
Let v(z) = 19*z + 11. Let q(a) = -47*a - 10. Determine -6*q(l) - 7*v(l).
149*l - 17
Let l(h) = 34*h + 6434. Let q(u) = 10*u + 2144. What is -3*l(p) + 10*q(p)?
-2*p + 2138
Let p(n) = -n**2 - n - 1. Let v(a) = 1 - 2 + 3*a - 4*a - 359*a**2 + 355*a**2. What is 3*p(z) - v(z)?
z**2 - 2*z - 2
Let h(a) = 4*a**2 - 2*a. Let j(l) = -5*l**2 + 10*l. Let q(x) = 3*x**2 - 13*x. Let d(p) = -3*j(p) - 2*q(p). What is -6*d(n) + 11*h(n)?
-10*n**2 + 2*n
Let z(r) be the second derivative of -r**4/12 - r**2/2 - 89*r + 2. Let l(n) = 8*n**2 + 3. What is l(y) + 2*z(y)?
6*y**2 + 1
Let n(i) = -5*i**3 + 14*i**2 - 45*i - 43. Let d(q) = -4*q**3 + 12*q**2 - 38*q - 44. Determine -6*d(y) + 5*n(y).
-y**3 - 2*y**2 + 3*y + 49
Let c(y) = 6*y**2 + 5*y + 3. Let q(t) = -5*t - 1. Let z(v) = -6*v**2 + 34*v + 4. Let u(b) = 8*q(b) + z(b). Calculate -3*c(n) - 2*u(n).
-6*n**2 - 3*n - 1
Suppose 3*i - 113 + 35 = 0. Suppose -12*l = -38*l - i. Let d(k) = -k**3 - 1. Let m(v) = -6*v**3 - v - 2. Determine l*m(p) + 5*d(p).
p**3 + p - 3
Let l(h) = h**2 + 6*h - 10. Let z = 39 + -36. Let k be (z/2 + 0)/((-2)/(-4)). Let o(f) = f - 2*f + 417 - 420 + k*f. Give 2*l(y) - 7*o(y).
2*y**2 - 2*y + 1
Let x(o) = -8*o - 12. Suppose 0 = -131*w - 157*w - 36*w - 7128. Let z(m) = 1. Let k(y) = y. Let f(s) = -k(s) - z(s). What is w*f(v) + 2*x(v)?
6*v - 2
Let v(y) = 31*y - 4. Let z(t) = 32*t - 5. Let g = 13057 - 13052. Determine g*z(c) - 6*v(c).
-26*c - 1
Suppose -2*m = 2*d - 6, -2*d - 4*m - 17 + 31 = 0. Let j(c) = 329*c**3 + 282*c**2 + 282*c - 282. Let h(v) = -v**3 - v**2 - v + 1. Give d*j(w) - 282*h(w).
-47*w**3
Let f(z) = -8*z**2 + 4883*z - 21. Let v(p) = -10*p**2 + 4883*p - 25. Calculate 6*f(w) - 5*v(w).
2*w**2 + 4883*w - 1
Suppose 182*w = 12*w - 1020. Let p(t) = -2*t**2 - 4*t - 6. Let l(n) = -4*n**2 - 7*n - 11. Calculate w*l(m) + 11*p(m).
2*m**2 - 2*m
Suppose 0 = 44*n + 8*n - 572. Let r(s) = 10*s**2 - 4 + 3*s**2 + n*s + 15. Let k(g) = g**2 + g + 1. Determine 22*k(u) - 2*r(u).
-4*u**2
Let z(l) = -13*l + 11576. Let o(i) = 4*i - 3830. Determine -10*o(u) - 3*z(u).
-u + 3572
Let x(h) = 340*h + 110. Let s(u) = -244*u - 73. Calculate -7*s(j) - 5*x(j).
8*j - 39
Let l(k) = -2*k + 11. Suppose 4*i - 4*d = -9*d + 20, -4 = -3*i - d. Suppose i = 89*j - 95*j - 78. Let s = 18 - 24. Let p(n) = n - 5. Give j*p(m) + s*l(m).
-m - 1
Let o(a) = 7*a**2 + a + 6. Let k(s) be the second derivative of 2*s**4/3 + s**3/3 + 7*s**2/2 + 1764*s. What is 3*k(w) - 4*o(w)?
-4*w**2 + 2*w - 3
Let g(h) = -34*h + 241. Let n(l) = 23*l - 164. What is 7*g(y) + 11*n(y)?
15*y - 117
Let y(h) = 7031*h**2 + 4*h - 1. Let k(l) = -2009*l**2 - l. Calculate -18*k(q) - 5*y(q).
1007*q**2 - 2*q + 5
Suppose 13*z + 6*z + 38*z = 171. Let f(u) = -u**3 - u - 4. Let r(v) = -2*v**3 - 4. Let q(i) = -i**3 + i + 1. Let d(b) = q(b) - r(b). Determine z*f(l) + 2*d(l).
-l**3 - l - 2
Let t(g) = -g. Let u(o) be the first derivative of o**3 + o**2 + 729. What is 3*t(h) + u(h)?
3*h**2 - h
Let b(l) = -69 + 31*l - 33*l + 73. Let g(d) = d - 5. Let t be -1*4 - (4 - 4). Determine t*g(n) - 5*b(n).
6*n
Let i(t) = 778 + 780 - 1558 - 31*t**2 + 3*t. Let o(s) = 1022*s**2 - 98*s. What is 98*i(z) + 3*o(z)?
28*z**2
Let p(a) = a**3 + 2*a - 4. Let c(b) = 566*b**3 + 4*b**2 - 7*b + 16. Calculate -c(n) - 4*p(n).
-570*n**3 - 4*n**2 - n
Let j(z) = 13*z**3 + 2*z**2 + 13*z - 2. Let v(i) = 54*i**3 + 8*i**2 + 50*i - 8. Give 9*j(k) - 2*v(k).
9*k**3 + 2*k**2 + 17*k - 2
Let u(a) = -a**3 - 3*a**2 + 234*a - 6. Let m(o) = -o**2 - o - 2. Determine -3*m(b) + u(b).
-b**3 + 237*b
Let o(b) = -4*b**2 + 17*b + 11. Let t = 11 - 22. Let c(x) = -x**2 + 6*x + 4. Let g = 2920 + -2916. Determine g*o(d) + t*c(d).
-5*d**2 + 2*d
Let a(s) be the third derivative of 7*s**4/12 - 5*s**3/6 + 9*s**2 + 287. Let o(u) = -14*u + 4. Determine -5*a(y) - 6*o(y).
14*y + 1
Let k(o) = 3*o - 2*o - 4*o**2 + 6*o. Let n(s) be the first derivative of 2*s**3 + 2*s**2 + 3*s + 57. Let d be n(-1). Let w(u) = -u**2 + u. Give d*w(r) - k(r).
-r**2 - 2*r
Let n(p) = 430*p**3 - 11*p**2 + 3*p. Let l(r) = 86*r**3 - 2*r**2 + r. Determine 11*l(o) - 2*n(o).
86*o**3 + 5*o
Let x(g) = -21 + 44 - 13522*g + 13542*g + 72 - 5. Let k(m) = -1. Calculate 180*k(d) + 2*x(d).
40*d
Let q(c) = 15*c**3 - c**2 - 8*c + 3. Let u(v) = 2*v**3 - v**2 - v + 1. Let z(a) = q(a) - 3*u(a). Let g(k) = -k**3 - k**2 + k. Calculate -2*g(o) - z(o).
-7*o**3 + 3*o
Let s(a) = a**3 + 1. Let w(b) = 2*b**3 - 3 - 3*b**3 + 1. Let r = -21400 - -21405. Let z be 5/(2/(-8)*-2). What is r*w(j) + z*s(j)?
5*j**3
Let o(l) = 20*l**2 - 3*l + 8362. Let p(w) = 6*w**2 - w - 4. Determine -o(u) + 3*p(u).
-2*u**2 - 8374
Let q be (0 - -1) + -11 + 13. Let p(n) = -3*n + 3*n - n - q + 2*n**2. Let a(s) = s**2 - 1. Let d = 2452 - 2450. Calculate d*p(t) - 5*a(t).
-t**2 - 2*t - 1
Let v = -263 - -382. Suppose -15*d - v + 29 = 0. Let i(j) = -12*j**3 - 5*j**2 - 5*j - 5. Let p(y) = -6*y**3 - 3*y**2 - 3*y - 3. What is d*i(b) + 10*p(b)?
12*b**3
Let s(o) = -3*o + 1. Let g(b) be the third derivative of b**5/60 + b**4/4 - b**3/2 + 4*b**2 + 214*b - 1. What is -4*g(u) - 9*s(u)?
-4*u**2 + 3*u + 3
Let o(s) = -69*s**3 - 4*s + 5. Let i(q) = 17*q**3 + q - 1. Suppose 3*t = -14*t - 34. Calculate t*o(k) - 9*i(k).
-15*k**3 - k - 1
Let s(j) = -7*j + 1. Let r(n) = -6*n. Let o(t) = -3*r(t) + 2*s(t). Let q(d) be the first derivative of -5*d**2/2 - d + 4783. Determine 3*o(b) + 2*q(b).
2*b + 4
Let m = 9946 - 9947. Let w(v) = -v + 1. Let p(k) = -2*k**2 + 0*k**2 - 10*k + 0*k**2 + 8. What is m*p(a) + 8*w(a)?
2*a**2 + 2*a
Let r(p) be the first derivative of 3*p**2 + 2*p + 5466. Let s(c) = 3*c + 1. Let t(v) = v**2 + 6*v - 13. Let m be t(-8). Give m*r(u) - 5*s(u).
3*u + 1
Let q(d) = 102016*d**3 + 88*d**2 - 88*d - 44. Let z(r) = 6801*r**3 + 6*r**2 - 6*r - 3. Calculate -6*q(v) + 88*z(v).
-13608*v**3
Let x(z) be the second derivative of z**5/2 + z**4/12 - 2*z**3/3 + 5*z**2/2 - 3339*z. Let g(u) = -5*u**3 - u**2 + 2*u - 2. Calculate -5*g(r) - 2*x(r).
5*r**3 + 3*r**2 - 2*r
Let p(x) = -13*x**3 - 23*x**2 + 19*x - 9. Let q(r) = 11*r**3 + 21*r**2 - 17*r + 7. What is 4*p(s) + 5*q(s)?
3*s**3 + 13*s**2 - 9*s - 1
Let f(b) = -18847*b**3 - 6*b**2 - 24*b - 6. Let j(o) = 3*o**3 + o**2 + 4*o + 1. Calculate f(a) + 6*j(a).
-18829*a**3
Let v(c) = 3*c**3 + 5*c**2 - 39*c - 57. Let x(d) = -4*d**3 - 7*d**2 + 55*d + 86. Determine 7*v(p) + 5*x(p).
p**3 + 2*p + 31
Let o(x) = -3*x**2 + 7*x + 1. Let k = 6706 + -6707. Let r(q) = q. What is k*o(v) + 6*r(v)?
3*v**2 - v - 1
Let i(w) = -w**3 + 9*w**2 - 3*w - 3492. Let g(d) = -6*d**2 + 2*d + 3491. What is 3*g(b) + 2*i(b)?
-2*b**3 + 3489
Let k(q) = -1 - q**2 - 1 - 3*q**2. Let h(t) = -46 + 46 - t**2. Let i be -12 - -20 - 1 - 8/1. What is i*k(z) + 3*h(z)?
z**2 + 2
Let t(s) be the second derivative of -s**4/4 - s**3 - 5*s**2/2 - s. Suppose 0 = -289*q + 258*q + 155. Let k(r) = 2*r**2 + 4*r + 3. Calculate q*t(a) + 8*k(a).
a**2 + 2*a - 1
Let g(o) = o - 1. Suppose 3*n - 98 = -3*s + n, -5*s + 159 = -n. Let q(v) = -s*v + 10 + 8*v**2 + 35 - 13. Determine 32*g(u) + q(u).
8*u**2
Let h = -27 + -73. Let n be 6/((-4)/(h/15)). Let z(d) = -12*d + 2. Let r(u) = 6*u + 3*u - 8*u. What is n*r(m) + z(m)?
-2*m + 2
Let x(v) = 10*v**2 + 0*v - 5*v**2 - 6*v**2 - 2*v + 1 + 3*v. Let l(h) = -h**3 - 5*h**2 + 3*h + 8. Suppose -9*b + 16 = -11. Determine b*x(r) - l(r).
r**3 + 2*r**2 - 5
Suppose -2*i = -67 + 73, 0 = 4*j - i + 33. Let o(y) = -13*y**2 + 2*y - 4. Let b(p) = -27*p**2 + 5*p - 9. Determine j*o(w) + 4*b(w).
9*w**2 + 2*w
Let j(l) = -1508*l - 270. Let y(n) = 302*n + 57. Determine -3*j(v) - 14*y(v).
296*v + 12
Let t(k) = k. Let r(l) = -7*l - 2. Suppose 258 = 64*o + 2. What is o*t(u) + r(u)?
-3*u - 2
Let u(b) = -4*b**2 - 6*b + 372. Let w(k) = -2*k**2 - 3*k + 185. Calculate 5*u(t) - 11*w(
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{
"pile_set_name": "DM Mathematics"
}
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Let u(c) be the third derivative of t(c). Find the second derivative of u(y) wrt y.
-24*y
Let a(u) be the first derivative of 10*u**7/7 - 8*u**3/3 - 11. What is the third derivative of a(o) wrt o?
1200*o**3
What is the derivative of -38 + 85 + 41*d**3 - 23 wrt d?
123*d**2
Let a(z) = -z + 1. Let n be a(-4). Suppose 0 = 2*i - 4*o - 20, 0*o + 14 = -3*i - n*o. What is the third derivative of -i*l**2 + 5*l + l**3 - 5*l wrt l?
6
Let k(g) be the third derivative of -7*g**6/20 + g**5/30 + 11*g**4/24 - 10*g**2. What is the third derivative of k(z) wrt z?
-252
Let o(h) = h**2 + h + 3. Suppose 0*c = -c. Let g be o(c). What is the third derivative of -w**3 - w**2 + 0*w**2 + 3*w**g wrt w?
12
Let k be 3 + (1 + -4 - -2). Let m(o) = -6*o**2 + 2*o + 1. Let r(s) = -s**2 + s. Let t(v) = k*r(v) - m(v). Differentiate t(f) wrt f.
8*f
Suppose -2*j = t + 8, -4*t + 2 - 1 = -3*j. Let a = 4 + t. Differentiate 4*q**2 - 2 - 5*q**a + 3 wrt q.
-2*q
Let m(x) = -13*x**6 + 4*x**5 + 4*x**3 + 16*x**2 - 4. Let c(r) = -r**6 - r**5 - r**3 + 1. Let s(v) = 4*c(v) + m(v). What is the third derivative of s(u) wrt u?
-2040*u**3
Let t(n) be the third derivative of 0*n - 1/8*n**4 + 7/60*n**5 + 0 - n**2 + 0*n**3. What is the second derivative of t(j) wrt j?
14
Let m(k) be the first derivative of -k**6/2 - 11*k**2/2 + 10. Find the second derivative of m(h) wrt h.
-60*h**3
Find the third derivative of -14*t**2 - 21*t**6 + 42*t**6 - 82*t**6 - 32*t**2 wrt t.
-7320*t**3
Let t(n) be the second derivative of -9*n**8/56 + n**4/6 + 16*n. What is the third derivative of t(l) wrt l?
-1080*l**3
Let y(t) be the third derivative of -t**9/2160 + t**5/40 - t**4/12 - 2*t**2. Let a(k) be the second derivative of y(k). Differentiate a(n) wrt n.
-28*n**3
Let a(y) = y - 1. Let w be a(5). Let c = 6 - w. What is the derivative of 3 - c*x + 0 + 1 + 0 wrt x?
-2
Let m(y) be the third derivative of -11*y**5/30 - 43*y**4/24 - 12*y**2. What is the second derivative of m(h) wrt h?
-44
Let m(k) be the second derivative of 0*k**4 + 1/2*k**3 - 1/42*k**7 + 0*k**6 + 0*k**5 + 0*k**2 - 3*k + 0. What is the second derivative of m(x) wrt x?
-20*x**3
Let b(h) be the second derivative of h**3/2 - h**2 - 2*h. Differentiate b(u) wrt u.
3
Suppose -2*m = 2*t + 12, 0*m = 2*t - 3*m - 8. Let q = t - -3. Find the first derivative of 4 - 4 - q + w**2 wrt w.
2*w
Let f(a) be the first derivative of 0*a + 5 - 8/5*a**5 - a**2 + 0*a**3 + 0*a**4. What is the second derivative of f(r) wrt r?
-96*r**2
Suppose i = 3*i - 6. Find the second derivative of 6*a + 3*a**2 - 5*a + i*a wrt a.
6
Find the second derivative of -11*c**2 - 15*c - 25 - 5*c**2 + 25 wrt c.
-32
Suppose -4 = 2*w - 6. Let h be 3 - 0*(-2)/4. Find the third derivative of 1 - w - h*a**2 + a**6 wrt a.
120*a**3
Let u(n) be the first derivative of -5*n**2/2 + 7*n + 8. Find the first derivative of u(h) wrt h.
-5
Let a(z) = -4*z**4 + 3*z**3 - 3*z**2 - 3. Let u(p) = p**3 - 1. Let s(t) = -a(t) + 3*u(t). What is the third derivative of s(v) wrt v?
96*v
Let o(y) be the second derivative of y**7/6 + 5*y**3/2 + 15*y. Find the second derivative of o(c) wrt c.
140*c**3
Suppose -5*x - 1 + 11 = 0. What is the first derivative of y**4 - y**4 + 5 - x - 2*y**4 wrt y?
-8*y**3
What is the derivative of -27*u**2 - 23*u**2 + 34*u**2 - 4 wrt u?
-32*u
Let o(u) = 10 + 3 - 2*u + 3*u. Let z be o(-10). What is the third derivative of -2*w**4 + w**2 - 4*w**z + 4*w**3 wrt w?
-48*w
Suppose 2*f = f + 2. Let r be f*6/8*2. Find the second derivative of -r*l + l + l**2 + l**2 - l wrt l.
4
Let y(x) be the third derivative of 2*x**7/21 - 7*x**5/15 - x**2 + 12*x. What is the third derivative of y(f) wrt f?
480*f
What is the second derivative of -7*t**5 - 867 - 6*t + 867 wrt t?
-140*t**3
Let j = -5 - -10. Suppose n + 0*n = j. What is the second derivative of 3*m**5 - 3*m**5 - m - 4*m**n wrt m?
-80*m**3
Let c(g) be the second derivative of g**8/840 + g**6/180 - g**3/3 - 2*g. Let a(i) be the second derivative of c(i). Find the third derivative of a(j) wrt j.
48*j
Let r(y) be the first derivative of -4 + 0*y**6 + 0*y + 0*y**5 + 4/7*y**7 + 0*y**2 + 1/3*y**3 + 0*y**4. Find the third derivative of r(j) wrt j.
480*j**3
Let y(i) be the first derivative of 3 + 4*i**2 - 4*i - i**2 + 2*i - 2*i**2. What is the derivative of y(c) wrt c?
2
Suppose 0 = 2*m + 5*n + 19, 0*m - 5*n - 10 = 5*m. Let a = -4 - -8. Find the first derivative of 2 + m*l - a - l wrt l.
2
Let p = -4 - -6. Find the third derivative of o**5 + 0*o**5 - 5*o**p + 2*o**2 wrt o.
60*o**2
Let v(w) be the third derivative of 7*w**6/120 - w**4/24 + w**2. Find the second derivative of v(d) wrt d.
42*d
Let i(h) = -h - 1. Let b(o) be the second derivative of -3*o**3/2 - 15*o**2/2 + o. Let s = -16 - -15. Let y(p) = s*b(p) + 12*i(p). Differentiate y(l) wrt l.
-3
What is the third derivative of -9*y**2 + 27*y**3 + y**2 - 21*y**3 wrt y?
36
Let k(d) = -d**3 + 10*d**2 - 2*d + 12. Let m be k(10). Let b be 3/(-2)*m/6. Find the third derivative of -5*x**2 + 3*x**4 + x**2 + x**b wrt x.
72*x
Let m(t) = 6*t**3 + 7*t**2 + 7*t + 9. Let f(d) = -5*d**3 - 6*d**2 - 6*d - 8. Let i = -5 - -11. Let z(s) = i*m(s) + 7*f(s). Differentiate z(g) wrt g.
3*g**2
Let g(n) be the first derivative of -n**4/6 - n**3/3 + 2*n + 2. Let v(m) be the first derivative of g(m). Find the second derivative of v(d) wrt d.
-4
Let y(u) = -u**3 + 5*u**2 + 5*u + 8. Let l(q) = q**3 - 4*q**2 - 4*q - 7. Let n(m) = -5*l(m) - 4*y(m). What is the first derivative of n(v) wrt v?
-3*v**2
Let r be 14/(-10) - 10/(-25). Let j(m) = -3*m + 1. Let c be j(r). Differentiate 4*n**c + n**3 + 2 - n**3 wrt n.
16*n**3
Let o(u) be the first derivative of -u**8/840 + 5*u**4/24 - 5*u**3/3 + 1. Let b(h) be the third derivative of o(h). Find the first derivative of b(f) wrt f.
-8*f**3
Suppose -4*p + 27 = 3*h, 40 = 5*h - 2*p + 7*p. Suppose -h*z - 25 = -5*v, 0*v + 5 = v + 5*z. What is the first derivative of -3 + v - 2*y**2 + y**2 wrt y?
-2*y
Let k(p) be the second derivative of 7*p**4/4 + 53*p**2/2 + 4*p - 10. Differentiate k(o) wrt o.
42*o
Let i(v) = v**3 - v**2 + v. Let f be i(1). Find the first derivative of -f + 2*t**4 + 0 - 5*t**4 wrt t.
-12*t**3
Let z(a) = 16*a**5 + 5*a**3 - 9*a**2 - 5. Let t(w) = 24*w**5 + 8*w**3 - 13*w**2 - 8. Let m(h) = -5*t(h) + 8*z(h). Find the third derivative of m(o) wrt o.
480*o**2
Let b(r) = 15*r - 2. Let m be b(3). Find the third derivative of 5*g**5 + m*g**2 - g**4 + g**4 - 45*g**2 wrt g.
300*g**2
Let i = 1 - -11. Let p = 20 - i. What is the third derivative of -2*n**6 - p*n + 8*n - n**2 wrt n?
-240*n**3
Let y(v) be the third derivative of -5*v**8/112 + v**5/30 - 2*v**2. Find the third derivative of y(x) wrt x.
-900*x**2
Let i(n) = 2*n - 3. Let h = -7 + 10. Let q be i(h). What is the third derivative of 0*d**3 + 4*d**2 + d**q + d**3 - d**3 wrt d?
6
Let p(t) be the first derivative of 4 + 5/2*t**2 + 7*t. Find the first derivative of p(x) wrt x.
5
What is the first derivative of -2*s**2 + 0*s**2 + 4 + s**2 wrt s?
-2*s
Find the second derivative of -1 + 0 - 12*n + 1 - 15*n**4 wrt n.
-180*n**2
Find the third derivative of -5*y**5 - y**2 + 0*y + 5*y - 5*y wrt y.
-300*y**2
Let m = 3 - 0. Suppose 0 = 4*w - v - 10, -2*v + 7 + 6 = m*w. Find the second derivative of w*c + c**3 + c**3 - 2*c wrt c.
12*c
Let m = -3 + 5. Find the third derivative of -3*g**2 + 0 + 2*g**m + 0 + 3*g**3 wrt g.
18
Let v(o) be the third derivative of -o**4/2 + 5*o**3/3 - 11*o**2. Differentiate v(m) with respect to m.
-12
Let o(a) be the first derivative of a**7/420 - a**4/12 - a**3 - 1. Let q(i) be the third derivative of o(i). Find the first derivative of q(d) wrt d.
6*d**2
Let k(t) be the first derivative of 13*t**4/4 - 26*t + 29. What is the first derivative of k(m) wrt m?
39*m**2
Suppose 2*r - 6 = -6*j + 2*j, 3*r = -j - 1. Let s(x) be the first derivative of -j + x**2 - 1/3*x**3 + 0*x. What is the second derivative of s(h) wrt h?
-2
What is the first derivative of 0*v + v + 1 - v + 2*v**3 wrt v?
6*v**2
Let z(b) = -b**4 - 5*b**3 + 5*b + 4. Let h(m) = -3 + m**3 + 0*m**3 + 2 + 5*m - 6*m. Let v(p) = 5*h(p) + z(p). Differentiate v(x) wrt x.
-4*x**3
What is the derivative of 8*m**2 + 4 + 2 - 11 wrt m?
16*m
Let o(y) = y - 3. Let w be o(5). What is the first derivative of 6 + 4 - 9 + 5*d**w - 2*d**2 wrt d?
6*d
Let h(k) be the second derivative of 0*k**5 + 2
|
{
"pile_set_name": "DM Mathematics"
}
|
-539 + 133. Let b = n - -566. Is 7 a factor of b?
False
Let i(t) = t**3 + 11*t**2 - 12*t + 3. Let l be i(-12). Let y be 8 + l - (-5 - -6). Let o = y + 20. Is 30 a factor of o?
True
Suppose -74 = -2*t + 42. Suppose 0 = -5*p - 17 - 163. Let x = t + p. Is x a multiple of 6?
False
Suppose f = -4*n + 2 + 8, -3*f - 3*n = -12. Let p be 306/5 + 2/(-5)*-2. Suppose -q + 4 = -5*q, -2*v + p = -f*q. Is v a multiple of 10?
True
Suppose 542*b - 188786 = 489*b. Is b a multiple of 25?
False
Suppose -3*y = -n + 8, -5*n + 3*n + 16 = 3*y. Suppose 9*o - n*o - t = -186, -o + 4*t - 186 = 0. Let x = 386 + o. Does 50 divide x?
True
Suppose -2*d + 1357 = x, -4582 = -4*x - d + 874. Is x/10*(-4)/(-3) a multiple of 8?
False
Let n be 2/3 - 32480/84. Let r = n + 431. Is 9 a factor of r?
True
Let c(v) = 268 - 132 - 3*v - 162. Let t be c(-16). Is 116 + ((-40)/22 - 4/t) a multiple of 55?
False
Let g be (-1 - 76/20)*130/(-39). Suppose -g*n + 83 = -1245. Is n a multiple of 2?
False
Let h = 95 + 25. Suppose 5*v + 555 = 4*r, -3*v + 8*v - h = -r. Is r a multiple of 8?
False
Let r = -395 + 920. Let a = r + -301. Is 18 a factor of a?
False
Let c be 4 - 5/(-15)*3. Suppose 2*l + 21 = c*u - 74, 2*u = l + 39. Does 17 divide u?
True
Let n(q) = 1361*q + 3550. Does 14 divide n(33)?
False
Does 79 divide (111/74)/(3/(-142))*-71?
False
Suppose 0 = 7*b - 70483 - 16926. Does 67 divide b?
False
Does 13 divide 6/((-30)/(-189295)) - 18/6?
True
Let k(c) = 308*c**3 + 9*c**2 - 13*c + 4. Is 4 a factor of k(1)?
True
Let m(j) = -4252*j**2 - 2*j + 1. Let q be m(-2). Does 17 divide (-2 - (-24)/11) + q/(-77)?
True
Let c = -22 + 24. Suppose 5*n = t + 10, -n + 0*t = -c*t - 2. Suppose -2*s + 114 = 2*x - n, -294 = -5*s - x. Is s a multiple of 25?
False
Let n(b) = 2*b**2 - 5*b + 2. Let p(s) = s**2 + 3*s - 2. Let q be p(-4). Suppose z = -q*z - o + 7, 4*z = -o + 10. Does 5 divide n(z)?
True
Let v = -64 - -82. Let c be 69/(-18) + (-6)/36 + v. Is 15 a factor of (-2 - c/(-6)) + (-636)/(-9)?
False
Let h = 545 - -6699. Is h a multiple of 71?
False
Suppose 2 = 2*g - 2. Is 183 - (1*g + -13 + 14) a multiple of 51?
False
Let w(k) = 62*k**3 - k - 1 - 28*k**3 - 33*k**3. Let r(o) = 6*o**3 + 7*o**2 - 3*o - 5. Let y(x) = r(x) - 5*w(x). Does 2 divide y(-3)?
True
Let n = -261 + 8541. Is 69 a factor of n?
True
Let y be 0 + 2 + (-2 + 4 - -216). Let r = 148 - y. Let a = r - -184. Is 14 a factor of a?
True
Let d be 1/2 - 2/(-4). Let l(t) be the second derivative of 21*t**5/10 + t**4/12 + t**3/6 - t**2/2 + 102*t + 1. Is l(d) a multiple of 12?
False
Suppose -2*t - 4 = -4*r, 1 = r + 2*t - 5. Suppose 3*n - 1442 = -r*l - 358, -2*n + 4*l + 712 = 0. Suppose b - n = -9*b. Does 18 divide b?
True
Let y be (12/10 + 0)*(-200)/(-60). Suppose -c + 4*u + 13 = 0, 35 = y*c - 4*u + 7. Suppose -2*k + 0*n + 83 = -c*n, n + 103 = 2*k. Does 18 divide k?
True
Let z = -61 - -55. Let k be (56/z)/(17/51). Let s = k - -78. Is s a multiple of 10?
True
Suppose -165*r + 179*r + 5278 = 30688. Does 6 divide r?
False
Suppose 5*b + f + 1874 = 2*f, 2 = -2*f. Let k = b + 1115. Is k a multiple of 20?
True
Let v be (-4)/(-20) + (-70)/(-25). Let r be (((-153)/12)/v + -2)*-100. Suppose -4*k + 500 = -2*o, -5*k - 2*o + r = -0*o. Is 25 a factor of k?
True
Suppose 3*f - r = 9, 5*f - 15 = 2*r - 7*r. Suppose 5*d + 5*m - 652 = 68, -422 = -f*d - m. Does 6 divide d?
False
Let w(v) = 21*v**2 + 826*v - 95. Is 40 a factor of w(-51)?
True
Let k = 67523 - 40340. Does 123 divide k?
True
Let q(d) = 3*d**3 - 122*d**2 + 18*d + 25. Does 52 divide q(41)?
True
Let i(h) = 164*h - 180. Let g be i(8). Suppose 3*w - 5*w + g = 0. Is 8 a factor of w?
False
Let g = 36613 + -17302. Is g a multiple of 123?
True
Let t be (-5 + (-294)/(-10))*(-1 - 4). Let l = 134 + t. Is 3 a factor of l?
True
Suppose -2*o - 18 = -4*s, -3*s = 4*o - o - 9. Suppose -5*d + s = 19. Does 25 divide ((-1500)/5)/d + -4?
False
Let k = 107 - -243. Suppose -39*r + 34*r + k = 0. Does 35 divide r?
True
Suppose 3*h + 17 + 16 = 0. Let c = 52 - h. Let x = c - -7. Does 16 divide x?
False
Suppose -651*m + 214*m = -5302995. Does 15 divide m?
True
Let q(g) be the second derivative of g**4/4 - 9*g**3 - 18*g**2 - 16*g. Is q(24) a multiple of 36?
True
Let q = 9533 - 2231. Is 13 a factor of q?
False
Let c(l) = 354*l**2 - 30*l - 24. Let j(q) = -13*q**2 + q + 1. Let y(v) = 2*c(v) + 54*j(v). Let u be 10*((-12)/10)/(-3). Is y(u) a multiple of 26?
True
Let l(w) = -77*w + 285. Let c be l(4). Suppose 0 = 2*n - 15 - 63. Let k = n + c. Is k a multiple of 15?
False
Let z = -99 + 104. Suppose -q + 18 = 4*c - 9, -2*q - z*c = -42. Is 22 a factor of 3*1109/33 + 2/q?
False
Let i(f) = 3*f + 4. Let w(z) = -1 - 2 + 2 - 4*z - 5. Let a be w(-5). Is 4 a factor of i(a)?
False
Let x be -8 + 1*-1*(-1 + 2). Let m be 2/(-6)*x - (2 - 3). Suppose -m*h = 2 + 2, 4*f - 3*h - 147 = 0. Is f a multiple of 9?
True
Let i = 23852 + -16015. Is 17 a factor of i?
True
Let s(g) = g**2 - 18*g + 129. Is 3 a factor of s(41)?
False
Let x(b) = -82*b + 16. Let m be x(4). Let o = -265 + 705. Let q = o + m. Does 16 divide q?
True
Suppose 80 = 7*v - 2*v. Suppose -3*a - v = 3*f - 1, -3*f = -2*a - 15. Does 15 divide ((-8)/a)/(((-4)/126)/(-1))?
False
Suppose 21*j = 24*j - 5*r - 3029, 4*j - 3*r = 4013. Is j a multiple of 11?
False
Is 35669 + (-30)/(-20)*10 a multiple of 304?
False
Let m = -7750 + 12110. Is m a multiple of 55?
False
Let r = 184 + -182. Does 18 divide r/26 + 33846/78?
False
Let p(m) = 110*m**2 - 1 + 96*m**2 - 6*m**2 + m. Does 17 divide p(-1)?
False
Suppose -44 = 5*t + 2*b + 56, 0 = -t - b - 17. Let g = 189 + t. Let d = -103 + g. Does 46 divide d?
False
Suppose -24*i = -165*i + 216107 + 2310613. Is i a multiple of 41?
False
Suppose 156*n + 2290 = 158*n + 6*c, 2*n + 5*c = 2287. Is n a multiple of 2?
True
Does 5 divide 746284/336 - (-2)/(-24)?
False
Suppose 0 = -2*d + x + 4000 + 3540, -4*d - 2*x = -15088. Is d a multiple of 9?
True
Suppose 0 = -10*i + 808 + 852. Let d = 527 - i. Does 7 divide d?
False
Let w(h) = 7*h**2 + 91*h + 69. Let b(m) = m**2 + 18*m + 14. Let s(d) = -11*b(d) + 2*w(d). Does 74 divide s(-10)?
True
Let i(b) = 2*b**2 - 16*b - 46. Let q be i(10). Is 89 a factor of ((-22)/q)/(17/1785)?
False
Let z be 492/24*(-2)/(-1). Let n(v) = 23*v**2 - v**3 + 35 - z*v**2 + 16*v**2. Is n(0) a multiple of 5?
True
Let y(g) = 10*g - 10. Suppose -5*f - c = -15 - 227, 2*f = -3*c + 89. Let x = 52 - f. Does 7 divide y(x)?
False
Suppose -4*w + 5*n - 114 = 0, -4*n + 8 + 15 = -w. Let c = w + 36. Suppose u + c*v = 41, -5*u + v = -v - 286. Is 14 a factor of u?
True
Let a = -931 - -1446. Is a a multiple of 2?
False
Let y(d) = -2*d**3 - 31*d**2 + 20*d + 62. Let h be y(-16). Is 168797/138 + 3/(9*h) a multiple of 38?
False
Let x(q) = -237*q**3 + 13*q**2 + 3*q + 7. Let l(y) = 79*y**3 - 4*y**2 - y - 2. Let m(f) = 7*l(f) + 2*x(f). Let j be m(-1). Is (-128)/j + 4/10 even?
True
Let d(u) = -u**3 - 2*u**2 - u - 3. Let z be d(-2). Let c be (-21)/((-220)/208 - z). Suppose -2*m - 352 = -2*r, 3*r - 2*m = 5*r - c. Does 13 divide r?
False
Suppose 0 = 2*k + 3*s + 36 - 108, -4*k + 2*s = -176. Suppose -3*p + k - 13 = 4*l, 3*l = -p + 3. Is 7 a factor of p?
False
Let c = 115 + -113. Suppose -5*p + 3*t = 5 - 25, -5*p = 3*t - 20. Suppose -4*q + 314 = -q - w, -p*w = c*q - 214. Is q a multiple of 29?
False
Let q(p) = p + 16. Suppose -a - 2*h = -2 - 1, 23 = -4*a - h. Let u be q(a). Let g = u - -31. Is g a multiple of 40?
True
Let g = 41219 + -21315. Is g a multiple of 185?
False
Let f = 96 - 94. Suppose f*g - 141 - 51 = 0. Let k = -37 + g. Is k a multiple of 43?
False
Let y be (-4)/24*-27*2/(-1). Is 30 a factor of 2876/12*2 - 6/y?
True
Let m(y) = -2*y**2 + 15*y + 66. Let v be m(-11). Let x = -251 - v. Is x a multiple of 45?
True
Let r = -2094 + 3408. Does 55 divide r?
False
Suppose w + 4 = 0, -3*w - 1980 = -r - 2*r. Let t = r - 446. Is t a multiple of 15?
True
Let y = 73642 - 40182. Is 20 a factor of y?
True
Suppose -l = -12*l + 22. Suppose -4*u - l*j + 370 = 0, -j + 3 = 2. Does 23 divide u?
True
Let h = -398 - -116. Let x = 513 + h. Is x a multiple of 2?
False
Suppose -j - 3190 = -5*j - h, -5*j = -2*h - 3981. Let y = -335 + j. Does 7 divide y?
True
Let r = -44 + -48. Let h be (-193 + (-1)/(-1))*1. Let v = r - h. Is v a multiple of 11?
False
Suppose -21*r + 417 + 6198 = 0. Is 59 a factor of r?
False
Let h = 3044 + -2276
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{
"pile_set_name": "DM Mathematics"
}
|
Let z(o) = o**2 + 7*o + 6. Let q be z(-5). Let g = -11 - -11. Put q, g, -3 in descending order.
g, -3, q
Let c = 8 + -7.8. Let d = 1090.2 - 1091. Sort c, d, 0 in increasing order.
d, 0, c
Let s(x) = -x**3 + 8*x**2 - x + 6. Let h be s(8). Let k be (-9)/3 + (2 - h). Sort -5, -4, k in increasing order.
-5, -4, k
Let l = 0.31 - 0.91. Put 1, -2/5, l in descending order.
1, -2/5, l
Suppose -x = -4*x + 12. Let w(p) = -p**2 - 22*p - 15. Let z be w(-21). Suppose 2*s = z*s - x. Sort -1, -3, s in ascending order.
-3, -1, s
Let c(d) = d**3 + 11*d**2 - 18*d - 29. Let h be c(-12). Let z = h + -40. Sort -1, -8, z.
-8, -1, z
Let t = -330 - -332. Sort 0, -6, t, -4 in descending order.
t, 0, -4, -6
Suppose 3*h + 3*j = 7*j + 404, -3*h - 5*j + 440 = 0. Put 2, h, 5 in descending order.
h, 5, 2
Let i(x) be the first derivative of -x**4/4 - 8*x**3/3 + 5*x**2 - 34. Let r be i(-9). Put r, -4, 5 in decreasing order.
5, -4, r
Suppose -n + 50 = 16. Let r = -34 + n. Sort r, -4, -9.
-9, -4, r
Suppose -42*g - 62 = -38*g - 2*b, -5*b - 37 = 2*g. Put g, -1, -2, 5 in ascending order.
g, -2, -1, 5
Let f = 48 + -17. Let p = f - 27. Sort 5, 0.4, p in ascending order.
0.4, p, 5
Let o = 0.1 + -0.1. Let w = 197.6 + -197.4. Suppose -d + 3*d = 2*q + 8, 0 = -3*d + 2*q + 10. Sort o, d, w.
o, w, d
Let t = 11144.92 - 11145. Suppose -3*n = -6*n + 3. Let d be (n/(-2))/(2/4). Sort 4, d, t in increasing order.
d, t, 4
Let o = 432 - 429. Sort o, 5, 11 in descending order.
11, 5, o
Let l = -175 + 174. Sort -3, l, 36.
-3, l, 36
Let v = 0.081 - -31.919. Let r = v + -35. Put 1/2, r, -1/2 in descending order.
1/2, -1/2, r
Let n = 10 - 9. Let s be 4 - 5 - (n + 9 + -2). Sort -1, s, 3 in increasing order.
s, -1, 3
Suppose 3*l + l - 100 = 0. Let m = l - 14. Suppose -11*q - 29 = -40*q. Put q, 3, m in decreasing order.
m, 3, q
Let v(f) = f**3 + 14*f**2 - 13*f + 28. Let k = 78 + -93. Let a be v(k). Sort 3, a, 5, 0.
a, 0, 3, 5
Suppose 3*s - 130 + 22 = 0. Let h = s + -41. Suppose 8*x = 5*x - 42. Sort 5, x, h.
x, h, 5
Let d be ((-30)/(-27)*-15)/((-3)/(-9)). Let h = d - -44. Put 1/5, -3, h in descending order.
1/5, -3, h
Let o(y) = y**2 - 6*y - 3. Suppose -21 = -3*p - 0. Let u be o(p). Let v(k) = k - 4. Let f be v(5). Sort 0, u, f.
0, f, u
Let a(t) = -t**3 + t**2 + 2*t + 8. Let l be a(0). Put 4, -14, l in increasing order.
-14, 4, l
Let a be (32/12)/(8/36). Suppose 4*w + 4 = a. Sort -1, 3, w, -5 in descending order.
3, w, -1, -5
Let l be -1 + -37*172/(-3976). Let m = 9/14 - l. Let u = 373/426 - m. Put 5, u, -3 in decreasing order.
5, u, -3
Let n be 2/15*-3 + (-108)/(-20). Sort -3, n, 7, 3 in decreasing order.
7, n, 3, -3
Suppose -123 = 69*q - 28*q. Suppose 5*d - i - i = 28, 0 = 5*d + i - 16. Let a be 1*(5 - (2 + -2)). Put q, a, d in decreasing order.
a, d, q
Let k(z) = 2*z**3 + z**2 + z + 4. Let a be k(3). Suppose 5*i + 0*i = -a. Let t = i - -13. Sort t, -5, -3 in descending order.
t, -3, -5
Let f = -590 - -591. Put 183, -4, f in decreasing order.
183, f, -4
Let q = 52075/4 + -584245/44. Let r = -259 - q. Let o = -1.96 - 0.04. Put 4, r, o in decreasing order.
4, r, o
Let r = -812.7 - -738. Let s = 75 + r. Sort s, -1, 2.
-1, s, 2
Let m(c) = -2*c**2 - 3*c - 3. Let a(d) = -6*d**2 - 8*d - 8. Let j(o) = -2*a(o) + 7*m(o). Let k be ((-4)/6)/((-2)/(-6)). Let t be j(k). Sort t, -4, 5.
-4, t, 5
Suppose -2*h + 6 = -3*y, 3*h + 0*y - 3*y = 9. Put -1, -4, h, -5 in descending order.
h, -1, -4, -5
Suppose -9*o - 14 = 4. Sort 0, -3, 1, o in descending order.
1, 0, o, -3
Let v(n) = 15*n - 26. Let d be v(2). Put 72, 1, d in descending order.
72, d, 1
Let k be ((-24)/(-30))/((-18)/(-45)). Suppose -4*p = -0*p + 4*g + 8, 2*p + g = 1. Sort -1, 47, p, k in descending order.
47, p, k, -1
Let r(p) = -p**3 - 5*p**2 - 3*p + 5. Let m be r(-4). Suppose 0 = 5*d - 1 + m. Sort 2/11, d, -0.5, 5.
-0.5, d, 2/11, 5
Let t(i) = 2*i**2 - 21*i + 52. Let b be t(5). Sort -2/11, 1, -1, b in increasing order.
b, -1, -2/11, 1
Let o = -26 - -27. Suppose -p + o = -5. Let w be p*(33/(-18) - -2). Sort 14, -4, w.
-4, w, 14
Let d = -0.4 + -5.6. Let n = -1346/7 + 192. Put -0.1, n, d in descending order.
-0.1, n, d
Let i = -468 + 470. Sort -66, i, 1 in descending order.
i, 1, -66
Let j = 8 + -6. Suppose -5*z - 16 = 2*y + j, 4*y - 5*z = 24. Suppose -6*a + 9 = -3*a. Put a, 2, y in descending order.
a, 2, y
Let c be 4/18 + 3/108. Let t = 37/22 - 3/2. Let w(f) = f**3 - 5*f**2 - 5*f - 7. Let i be w(6). Put t, c, i in increasing order.
i, t, c
Let c be 0 + (4 + -4 - -2). Suppose c*s = 5*s. Sort s, -4, -2.
-4, -2, s
Suppose 3*w - 2*m = 0, 0*m + 5 = 5*w - 5*m. Sort 15, w, 3 in descending order.
15, 3, w
Suppose -5*r + 34 = 19. Sort r, -1/3, -6 in ascending order.
-6, -1/3, r
Let p = 1.48 + -141.48. Let v = p + 139. Sort 0.3, -3/7, -12, v.
-12, v, -3/7, 0.3
Suppose -2*n + 18 = 2*y, 10*y = 7*y - n + 27. Let o be 120/28 - (-2)/(-7). Put o, 1, y in descending order.
y, o, 1
Let v = 73444 + -7344507/100. Let r = v + 8/25. Let y = 16 + -14. Sort 4, y, r.
r, y, 4
Let p(d) = -d + 15. Let o be p(0). Let z = o - 13. Let y be -2 + 1 + z + 0. Put 4, 3/8, y in increasing order.
3/8, y, 4
Suppose 0 = -s - 0*s + 7. Let c = 13 - s. Suppose c = 4*k - 2*a, 3*k - 2*a + 3 = a. Put 0.2, -1, k in decreasing order.
k, 0.2, -1
Let o(s) = -2*s + 43. Let y be o(22). Sort 4, -3, -4, y in descending order.
4, y, -3, -4
Let z(p) = -5*p + 5. Let c be z(5). Let f be 2/(-10) + (-614)/c. Let u = 31 - f. Put u, 5, 0.4 in decreasing order.
5, u, 0.4
Let z = -2.08 + 2.14. Put z, 1/3, 1, 4 in descending order.
4, 1, 1/3, z
Let k(p) = -p**2 - p + 1. Let n(u) = u**3 - 6*u + 3. Let i(w) = -3*k(w) + n(w). Let f be i(-4). Put f, -1, 15 in descending order.
15, -1, f
Suppose 93 = -9*u + 120. Suppose -7*k = -3*k - 8. Let o(h) = -h**2 - h + 6. Let t be o(-3). Put t, u, k in descending order.
u, k, t
Let u = 1397 - 1392. Sort u, 4, -4, -3 in descending order.
u, 4, -3, -4
Let n be -3 + (-3)/((-6)/2). Let g(y) = -4*y**2 + 6*y + 1. Let l be g(2). Put -4, n, l in decreasing order.
n, l, -4
Suppose -32 - 16 = 2*s. Let x be -3*(-4)/18*s. Let q = -13 - x. Put -7, -5, q in ascending order.
-7, -5, q
Let b be 1/2 - (-14)/4. Let k be (-14)/(-6) - (-2 + (-24)/(-18)). Suppose 3*s = -k*w, -4*w + 4 = -s - 1. Put w, 3, b in descending order.
b, 3, w
Suppose -8 = 3*z - 2*s, 5*s = 2 + 3. Suppose f - 8*f = -21. Put -9, f, z in descending order.
f, z, -9
Let s = -453 - -456. Suppose 0 = 3*o - 3*g + 15, 2*o - 2*g = o - 6. Sort 0, -3, o, s in increasing order.
o, -3, 0, s
Suppose 3*t + 5*h = 3, 40*h + 3 = 3*t + 35*h. Suppose -8*i - 15 = -3*i. Sort i, 3, t in increasing order.
i, t, 3
Let t be 3 + (-165)/(-3) - 9. Sort 0, t, -11 in descending order.
t, 0, -11
Suppose h - 6*h - 2 = -2*m, -h = 2*m + 10. Let g be 4*((-17)/(-2) - 2). Suppose -5*t + g = 1. Sort -5, t, m in decreasing order.
t, m, -5
Suppose 4*f - 2*c + 54 = 0, 4*c = c - 3. Let w be (12 + f)/(2/(-5)). Suppose -35 = -w*r - 0*g - 5*g, -4*r - 5*g = -33. Put 3, r, -1 in increasing order.
-1, r, 3
Let g = 20 + -21.6. Let z = g - -6.46. Let w = z - -0.14. Sort w, -5, -3 in descending order.
w, -3, -5
Suppose -2*s + 10 = 5*y - 25, 0 = s + 5*y - 30. Sort -2, 1, s, -1.
-2, -1, 1, s
Let s = -4 - -3. Let z = -114 - -568/5. Put 2/15, 2, s, z in ascending order.
s, z, 2/15, 2
Let o(b) = -5*b + 154. Let p be o(30). Sort -3, 103, p in descending order.
103, p, -3
Let h = 27 + -23. Suppose 2*f - 7 = -4*o - 19, 3*f + 17 = -5*o. Let n = 4 + -1. Sort h, n, f.
f, n, h
Let v = 27 + 26. Put 0, 2, 4, v in decreasing order.
v, 4, 2, 0
Let i = -1099/2442 - -19/66. Put 1, i, 1/3 in ascending order.
i, 1/3, 1
Let m = -3 - -2.5. Let h = 169.284 + -0.284. Let f = h - 164. Sort m, f, -4.
-4, m, f
Let g = 9/29 + 24/203. Sort 3/5, -1, g, -0.6 in ascending order.
-1, -0.6, g, 3/5
Let d(p) = -3*p - 10. Let w be d(-7). Let a = w + -15. Let i be (-4)/(a/(4/2)). Sort 4, i, 1 in descending order.
4, i, 1
Let g(f) = -f**2 + 3*f + 56. Let c be g(9). Let i = 3 - 7. Let z = -60.2 - -60. Sort c, z, i in descending order.
c, z, i
Let c = -2.4 - -2.7. Put -1/2, c, 2, -2 in increasing order.
-2, -1/2, c, 2
Let r = -121 - -121.1. Let f = 0.21 + 0.09. Put r, -0.4, f in decreasing order.
f, r, -0.4
Let z(b) = -b**2 + 5*b + 2. Let l be z(-4). Let w be (-2)/(-21)*51/l. Put -2/7, w, 0.2 in descending order.
0.2, w, -2/7
S
|
{
"pile_set_name": "DM Mathematics"
}
|
o 12 and i have different values?
True
Suppose 7*r - 3 = -10. Let c = 565 + -2813/5. Let g = 7/3 - c. Which is smaller: r or g?
r
Let y = -4.14 + 4.04. Let u = -113 + -31. Is y greater than u?
True
Suppose -4*n - 8 = 4*w - 0*n, 5*n + 17 = 2*w. Suppose 0 = -2*i + 2*k + 3358, 0 = -28*i + 27*i + 5*k + 1691. Let v = i + -73741/44. Is w at most as big as v?
False
Suppose -26*v + 443 - 172 + 561 = 0. Is v smaller than -46?
False
Let q be (-3)/(1 + 2) - -4*79. Let p = -2861/9 + q. Let c = 12 - 11. Is p <= c?
True
Let y = -621 - 214. Let t = y - -818.26. Let n = -0.26 + t. Is 0 < n?
False
Let j = -262432 + 3449668636/13145. Is j at most as big as -1?
False
Let f be -25 + -2 - (2 + -1). Suppose -4*p - 116 = 4*b - 3*b, b - 3*p + 88 = 0. Let m = b - -72. Are f and m nonequal?
False
Let f = -9 - -19. Let g = -138.8 + 18.8. Let r = -120 - g. Which is smaller: r or f?
r
Let f = -70.35 - -221.36. Let u = f + -151. Does u = -5?
False
Suppose 7*m - 150 = 13*m. Suppose -p = 5*w + 4*p - 50, 3*w + p - 34 = 0. Let z(j) = -j**3 + 13*j**2 - 15*j + 11. Let v be z(w). Is v bigger than m?
False
Let k be (4/(-18) - (-50)/225)/(1 - 3). Does -20208 = k?
False
Suppose -86*h = 128*h + 66*h + 9520. Which is greater: h or 22?
22
Let l = 7771.1 - 7775. Is l at least -30?
True
Let l = -2803443 + 1132594975/404. Let v = l - 16/101. Let q = -619 + 629. Is v at most as big as q?
True
Let v = -6537 - -6540. Let z be (3 + -2)/(17/(-2)). Which is bigger: v or z?
v
Suppose -96*m = -113*m - 1394. Are m and -404/5 unequal?
True
Let s(x) be the second derivative of -7*x**3/6 + 15*x**2/2 - 186*x. Let k be s(2). Which is bigger: 6 or k?
6
Let i = -6503/4 + 57911/36. Let y = -13 + -3. Is i greater than y?
False
Let v = -6135 - -6141. Let k = 17 + -35. Let w be (v/(-7))/(k/126). Which is bigger: w or 23/4?
w
Suppose 2 = -c - 5*h, c + h - 1 = -3. Let q be ((-3)/6)/((-4)/(-56)). Let t(l) = l**3 + 7*l**2 + l + 4. Let a be t(q). Which is smaller: a or c?
a
Let h be 0 + 0/(-4) - (-2 + 45). Let z = 44 + h. Let x be (-2 + z)/((-618)/(-12)). Which is bigger: 1 or x?
1
Suppose c + 3*z - 1468 = 1035, 0 = -4*c + 8*z + 10052. Do c and 2509 have the same value?
True
Let d(i) = 2*i**3 - 24*i + 84. Let w be d(8). Let u = -906 + w. Is 1 greater than u?
False
Suppose -288 = 35*x - 27*x. Let v be (0 + 5)/(4*9/x). Let t(j) = -5*j - 26. Let p be t(v). Is p smaller than -5/22?
True
Let l = 78249 + -41941449/536. Let d = -2721/268 + l. Is -11 at most as big as d?
True
Suppose -26*j + 29*j = -249. Let p = -88 - j. Suppose 4*d = 0, 4*d + 3 = 3*f + 15. Is p smaller than f?
True
Let n(y) = y**3 - 11*y**2 + 9*y + 10. Let f(c) = -2*c + 31. Let o be f(5). Let h = -11 + o. Let d be n(h). Which is bigger: d or -4/29?
d
Let c = 223 - 56. Suppose 0 = 5*j - 7*j + 5*m - c, -5*j = -4*m + 392. Is -77 less than or equal to j?
True
Suppose 7 = 2*n + 29. Suppose 43*z + 14 = 36*z. Let o be z + -2 - (10 - 8). Is o <= n?
False
Let f = -7872 + 7859. Is f greater than or equal to 156?
False
Let u(z) = z**3 - 2*z**2 - 7. Let j be u(3). Suppose j*d - 2 = -8. Let p be d/(-21) - 78/(-1218). Which is bigger: p or -1?
p
Let m(w) = 39*w**2 + 8*w - 5. Let k be m(4). Let d be ((-2)/3)/(84/k). Which is greater: -5 or d?
-5
Suppose 0 = -2*m + 4*f + 20, 4*m + 10 = -4*f + 2*f. Suppose m*b + 30 = -6*b. Do -6 and b have the same value?
False
Let g = 17.3 + -17.284. Suppose -2*d + 4*d = 24. Let f be ((-3)/(-2))/(45/d). Which is greater: g or f?
f
Let u = -2 - -4. Let q be -1 + u + -8 + 19. Suppose -4*v + v + 2*h = -4, 4*v + 4*h - q = 0. Are v and 3 unequal?
True
Let c = -453.626 - -0.626. Let g = -436 - c. Which is bigger: 2 or g?
g
Let r = -2/8777 + -16540/4449939. Do 1 and r have the same value?
False
Let l = 0.05999 + 0.03001. Which is smaller: 88/3 or l?
l
Let z = 4479 + -4484. Which is smaller: -20/11 or z?
z
Let j = 12 - 11. Suppose -t + g + 39 = 0, t - 39 = -12*g + 10*g. Let n be (-3)/t*(-2)/4. Is n at most as big as j?
True
Suppose -3*v - 842 = -n + 483, -4*v - n - 1769 = 0. Let a = -637 - v. Is -195 at most as big as a?
True
Let n = 49.118 + -0.118. Let o = n - 48.979. Let s = o + -35.021. Is 0 >= s?
True
Let y be (-13593)/(-105) + 3 + 1748/95 + -19. Which is bigger: 131 or y?
y
Let d = -51925/6 + 8726. Which is bigger: 72 or d?
72
Let z = -23590 + 16449. Is -7141 >= z?
True
Let o be ((-12)/5 + 2)*(-530 - -10). Let g = o + -84. Does 123 = g?
False
Let b = -840 + 832. Let u be (-24)/b + 105/(-34). Which is bigger: u or 0?
0
Let d(j) = 3*j**2 - j - 16. Let v be d(0). Let h be 111/12 + (12/v)/3. Which is smaller: 8 or h?
8
Let n = 218 - 217. Let w be (-2*(-104)/(-48))/(n/(-18)). Let y(k) = k**3 - 4*k**2 - 10*k + 2. Let f be y(7). Which is smaller: w or f?
w
Let o = 557 - 545. Let k be -4 - 801/(-54) - (-2)/o. Is 13 less than or equal to k?
False
Let c be (216/1890)/(4/14) - (-166)/(-40). Is 26/9 less than or equal to c?
False
Let t = 0.08 - 12.08. Let w(g) = g + 15. Let n be w(-11). Let o be ((-2)/n)/((-30)/4 + 6). Is t < o?
True
Suppose -27378 = -138*v + 1993 + 7475. Let i(c) = -c**3 + 14*c**2 - 5*c + 8. Let a be i(6). Is a <= v?
True
Let a(j) = -j**3 + 9*j**2 - 9*j + 8. Let g be -4 + (-3)/(-7 - -4). Let c be 3/((-45)/40)*g. Let o be a(c). Which is greater: o or -2?
o
Let a be (6/(12/(-242)))/(-4). Let l = -31 + a. Let d = -6.7 + 6.3. Which is smaller: d or l?
l
Let k(r) = 7*r + 53. Let w be k(-14). Let d = 45 + w. Is 7 not equal to d?
True
Let u = 16105/7049 + 1/1007. Let k be 5 + (2 - 3 - 2). Which is bigger: k or u?
u
Let l = -6 - -8/3. Let w = -6/109 - -1022/2725. Let b = w + 9/50. Which is smaller: b or l?
l
Let b = 2/10465 + 11792/47814585. Which is bigger: b or 1?
1
Let q be 7/(-1) + ((-1456)/65)/(-8). Let h be (2 - 1) + 9/(-3). Let x = h - 1. Which is bigger: q or x?
x
Let d = -781 + 36709/47. Which is smaller: d or 5/6?
d
Let q be (-10)/(-4)*(-6 - -4). Let t(g) = -2*g**2 - 6*g + 3. Let j be t(q). Suppose -80 - 64 = 8*n. Are n and j equal?
False
Let p = -556.14 + 786.17. Let l = 230 - p. Is -1 greater than l?
False
Suppose -9821 = -c - 9389. Which is bigger: c or 433?
433
Let q = 3012 + -2965. Let o = 53 - 98. Let z = o + q. Is z > -11?
True
Let z = -5 - -3. Let k = -141 + 179. Suppose 7*t - k = -3. Is t less than or equal to z?
False
Let s(g) = -3*g**2 - 64*g - 707. Let n be s(-68). Is -10227 > n?
False
Suppose 2*l = 2*g + 264, 3*g - 9*l + 10*l = -372. Are g and -132 non-equal?
True
Let c(i) = i**3 - 12*i**2 + 17*i + 1. Let q = 6 + 1. Let a be c(q). Is a less than -125?
False
Let v = 105 + -109.7. Let j = v + -18.3. Let r = 25 + j. Which is smaller: r or 12?
r
Let u be -8 - 97*(-6)/(-30). Let t = 136/5 + u. Which is bigger: 254 or t?
254
Suppose -10*g - 103 = -113*g. Is -2/5505 > g?
False
Suppose 4*l - 30 = -34, 5*l + 1195 = 5*t. Are t and -6/17 equal?
False
Let h = 66 + -65.8. Let t = 27 - 23. Let p be 64/(-296)*(-1)/t. Which is smaller: h or p?
p
Suppose 146*m - 131*m - 11880 = 0. Let j be (10/50)/(0 + m/(-10)). Do -2 and j have the same value?
False
Let i be 49761/(-342)*16/6. Is i bigger than -1160/3?
False
Let r be 1706/4 - (-9)/(-18). Suppose 0 = -4*t - 0*t - 3*u - 425, -4*t - 2*u - r = 0. Which is bigger: t or -106?
-106
Let u = -68 + 69. Let i = -1 + u. Let o = 1.1 - 1.086. Is i at least o?
False
Suppose 0 = 5*v - 2*w - 29 - 13, 5 = v + 3*w. Let a be 2/v - (-63)/36. Suppose a*g = 3*z + 151, -4*g + 2*g = z - 131. Is 68 at most g?
True
Let j = 120 - 106. Let w = j - 15.2. Let s be ((-3)/(-9))/((-14)/12). Which is smaller: s or w?
w
Let y(r) = -2*r**3 + 12*r**2 - 2*r + 11. Let l be y(6). Which is greater: l or -1/395?
-1/395
Let y = -1119 - -2056. Let b = -771 + y. Is b not equal to 1/2?
True
Let s = 645 - 645.0527. Let k = s + 0.052. Which is smaller: k or 1?
k
Let z(k) = 3*k**3 + 2*k**2 - 1. Let d be z(1). Let b(q) = 2*q**2 + 18*q + 40. Let v be b(-7). Let p be 2/(-3) + 8/v. Which is bigger: p or d?
d
Let z = -152.9 - -147. Let m = -1.05 - -0.987. Let p = m + -0.037. Is p greater than or equal to z?
True
Let f be 411647/132770 + 29/(-290) + -3. Is f at most 1?
True
Let s be (-6)/(-208) + (-27)/6 + 791/182. Which is bigger: -68 or s?
s
Let n = 1.19 + 536.81. Let l = n - 538. Is -19 at most l?
True
Suppose -5*w = 2*o + 36349, 0 = 35*o - 43*o - 56. Is -7266 at least w?
True
Let c = 418 - 192. Let o = c - 225.97. Let b = 0.7 +
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{
"pile_set_name": "DM Mathematics"
}
|
r a.
-5
Suppose -s = 4*g + 15 + 26, -4*s - 20 = 0. Let b = g + 12. Solve b = -2*l + 5*l for l.
1
Let o(j) = -2*j**3 - j**2 + 2*j - 1. Let f = 3 - 2. Let d be o(f). Let u be (-9)/d + (-1)/2. Solve -u*y = -2*y + 10 for y.
-5
Suppose 33*s - 36*s = 0. Solve s*y + 4 = -2*y for y.
-2
Suppose 2 = 4*p - 3*p. Solve -2 - 2 = -p*r for r.
2
Let i = 5 - -2. Solve -2*a - 1 + i = 0 for a.
3
Suppose 5*c - 4*l - 21 = -l, -10 = 5*l. Solve c*b - 5 = 2*b for b.
5
Suppose 3*f = 11 + 4. Suppose 24*b = 7*b. Solve b = f*n - 4 - 1 for n.
1
Let p(x) = 5*x**2 + 4*x - 4*x**2 - 3*x - 2*x + 4. Suppose j = 5*d - 1, -5*j + 0 = -2*d + 5. Let s be p(d). Solve -s*i = i for i.
0
Suppose -4*u + 17 = 5*x, -5*x = u - x - 7. Let r = 2 - u. Let z be (2 + r)*(6 - 3). Solve 0 = d - z*d + 10 for d.
5
Let x be (2/(-2))/((-4)/12). Suppose -34 = 2*l - x*a, 3*l + 31 = -5*a - 58. Let c = 33 + l. Solve 4*r = 2*r + c for r.
5
Let y = 124 - 119. Solve -5 = -0*r - y*r for r.
1
Suppose -4 = k + 5*z - 17, 5*k = -4*z + 23. Suppose 0 = l + 4*l. Suppose 0 = -4*s - x - x + 4, 4 = 2*s + 2*x. Solve l = -c - k - s for c.
-3
Let v = -23 + 23. Solve -3*n + 6 = -v for n.
2
Suppose 7*u - 3*u + 76 = 0. Let s = u + 28. Suppose 0 = 2*f - f - s. Solve -2*n - n = f for n.
-3
Let w = 15 - 10. Suppose -w*y - 40 = -10*y. Solve s = -3*s + y for s.
2
Let g = -13 + 32. Solve 5*i - 4 = -g for i.
-3
Suppose w - 1 + 0 = 0. Suppose 5*j - 18 = 4*i, -5*i - 7 = -j + 5. Let q be (j/6)/((-1)/(-3)). Solve -q = -r + w for r.
2
Suppose 4*o - 9 - 9 = -2*l, -13 = -4*o - l. Solve 0 = j + o*j - 3 for j.
1
Let x = 1 - -2. Let a(z) = -z**2 - z**3 - 1 - 5*z**2 + 6*z + 0*z**x. Let b be a(-7). Solve b*c = c for c.
0
Suppose -z + 1 = -5*y, -4 = 4*y + z - 5. Solve y + 5 = f for f.
5
Let j = 8 + -5. Suppose -4*o = 8, 3*z = j*o + 91 - 1. Let n be (-8)/z - 60/(-14). Solve -r - n = -5*r for r.
1
Let s(j) = -5*j - 21. Let p be s(-6). Solve -2*q + p - 1 = 0 for q.
4
Suppose s = -s - 8. Let x = 11 - s. Solve 2*u - 5 = -x for u.
-5
Suppose 4*m - 4*o - 36 = 0, 2*m + 3 = 3*m + o. Solve v + v = m for v.
3
Let q(l) = l**2 + 5*l + 3. Let i be q(-3). Let m be -3 + (-1 - -4 - 0). Let w = m - i. Solve 0 = -v - w*v + 20 for v.
5
Suppose -5*m + 4*r + 62 = 0, -35 = -5*m - r + 12. Solve 6 = 4*t - m for t.
4
Let m be (-8)/2*(-9)/36. Solve x + 1 = -m for x.
-2
Suppose -h + 0*j = 3*j + 7, -3*j = 3*h + 51. Let d(p) = -p**3 + 8*p**2 - 2*p + 3. Let m be d(8). Let s = m - h. Solve 5*u = -4 + s for u.
1
Let w(d) = d**2 - 5*d - 9. Let h be w(7). Solve 0*t = h*t - 20 for t.
4
Let k = 3 + -1. Solve f - 4 = k*f for f.
-4
Let a be 4*1 - (-3 - -5). Let q(j) = -7*j + a*j + 2*j + 2*j - 1. Let c be q(-3). Solve -c - 10 = 3*o for o.
-4
Let a = -29 - -41. Let f be 90/25 + (-2)/(-5). Suppose 4*r - y + 15 = -4*y, -5*r - 10 = 2*y. Solve -a = -r*b - f*b for b.
3
Let x(f) = -f**2 - 3*f - 1. Suppose -3*o = 2*d + 9 + 10, -2*d + 16 = -4*o. Let r be x(d). Let j be ((1 - 0)*0)/r. Solve j = m + 5 - 2 for m.
-3
Suppose 4*f + 4*n + 3 = -5, -3*n - 6 = -4*f. Suppose f = 2*c + 1 - 9. Suppose -3*y + c*m + 2 = -5*y, 0 = -2*y - m + 1. Solve -3*j - y = -7 for j.
2
Let v = 34 + -14. Suppose 7*s - 3*s = v. Solve s*r + 2 = -3 for r.
-1
Let b(a) = -a**3 - 6*a**2 + 16*a + 12. Let c be b(-8). Solve q = -3*q + c for q.
3
Let m = -15 + 15. Solve m = 2*a + 8 + 2 for a.
-5
Let m be (34/2 - 4) + -5. Solve m = 3*l - 1 for l.
3
Let u be (24/(-10))/(32/(-80)). Solve 0 = -0*o + 2*o - u for o.
3
Let p = -8 - -5. Let a(l) = l**3 - l**2 - 4*l - 4. Let x be a(p). Let c be x/(-5) - (-4)/10. Solve g + c = -g for g.
-3
Let y(r) = -7*r**3 + 2*r**2 + 2*r + 1. Let u be y(-1). Let w(h) = h**3 + h**2 - h. Let p be w(0). Solve p*v = 4*v - u for v.
2
Let q(v) = v + 4. Let d be q(4). Let s be ((-8)/(-6))/((-4)/(-6)). Suppose 5*t - 3*z = -s + 11, 3*t - 7 = z. Solve d = -t*p + 17 for p.
3
Let w = 147 - 147. Solve -3 = -k - w for k.
3
Let u be 39/4 + 1/4. Let r(i) = -i**3 + 3. Let k be r(0). Suppose -3*h + 6*v - v - u = 0, -4 = k*h - 2*v. Solve 2*f = -h*f for f.
0
Let g = -80 + 82. Solve 4*u + 6 = g for u.
-1
Suppose 2*l - 5 = 2*b - 1, 5*b = 2*l + 11. Let q = 11 - l. Solve -d = q*d + 20 for d.
-4
Let y be (-388)/(-16) - 2/8. Let j be 45/y - 3/(-24). Solve j*u = u - 1 for u.
-1
Let v be 6/(3/2 - 0). Solve -v*w = w for w.
0
Let v = 16 + -7. Let h be -1*3 - (4 - v). Solve j = -h*j - 3 for j.
-1
Let i(f) = -f + 1 + 0*f - 4. Let t be i(-6). Solve -t*k - 2 = -8 for k.
2
Let g(j) = j**2 - 6*j + 5. Let k be (4/(-3))/((-20)/210). Let h be 22/77 + 66/k. Let n be g(h). Solve n*q = 3*q - 15 for q.
5
Let t(i) = 22*i - 1. Let l be t(1). Let v be 57/l - 8/(-28). Solve -v*z - 20 = 2*z for z.
-4
Let q = -11 - -16. Let b = -3 + q. Solve -b*c - 6 = c for c.
-2
Suppose i - 4*r = 12, 2*i - 17 + 3 = 3*r. Let y(u) = 2*u + 5. Let v(f) = 6*f + 16. Let n(d) = -4*v(d) + 11*y(d). Let k be n(-6). Solve -p - i = -k*p for p.
2
Let u(v) = v**3 + 11*v**2 - 12*v + 1. Let o be u(-12). Let j be (2 + 0)*(2 - o). Suppose 3*x + x = 0. Solve x = -j*p + 4 + 2 for p.
3
Let u = 69 + -64. Solve -u*b + 17 = 2 for b.
3
Let p(l) = l**3 + 4*l**2 - 11*l + 6. Let i be p(-6). Solve -s - 2 = -i*s for s.
-2
Let l(x) = x**2 - 3*x + 2. Let t be l(2). Suppose t = 3*r - 2*r + 3. Let c be (-2)/(-2) - (r - -1). Solve -u = c*u for u.
0
Suppose -3 = x - 2*x. Suppose -5*j = o - 31, -x*o - j + 6 = -17. Solve -o = i - 3*i for i.
3
Suppose -2*i + 1 = -2*l + 3*l, -l + 4*i = -7. Solve l = -4*o - 1 for o.
-1
Let i(r) = r**2 + 10*r - 2. Let d be ((-55)/15)/((-1)/(-3)). Let k be i(d). Solve a + k = 4*a for a.
3
Let a = 9 + -8. Let i be (-1 - -7)*a/2. Solve -d = -i + 2 for d.
1
Suppose 0 = -4*l + 20 - 8. Solve 3 = l*u - 6 for u.
3
Suppose -3*s + 45 = 2*s. Solve 3*d + 0 + s = 0 for d.
-3
Let k = 14 + -9. Solve -6 = k*c - 31 for c.
5
Suppose -3 + 0 = -3*u. Suppose 6 = -2*m + 4*q - 0, 4*m = -5*q + 1. Let j = m + u. Solve -r - 4 = -j*r for r.
-4
Let k be 5/10 + (-53)/(-2). Suppose 5*r - 3*o - 3 = o, -k = -5*r - 4*o. Suppose 0 = -r*w + 3, -2*f - 2 + 9 = -w. Solve g + f = -g for g.
-2
Let l(d) = d**2 + 10*d + 12. Let h be l(-9). Solve h*j = -j + 8 for j.
2
Suppose 3*b - 20 = -2*b + s, 5*b = -s + 10. Solve b*v - v = 0 for v.
0
Let t = -35 + 55. Suppose t = 3*g + 2*g. Solve g*s - 6 - 2 = 0 for s.
2
Let o = 12 + -10. Let i be (-14)/(-35) - o/5. Solve -p - p = i for p.
0
Suppose 0 = 40*g - 35*g - 5. Solve 2*c = -g - 9 for c.
-5
Suppose -4*g - 3*a = 6, 0*g + 5*g + 8 = -4*a. Solve g*b + 1 = b for b.
1
Let o be (-10)/4*4/(-10)*4. Solve -10 = o*z + 2 for z.
-3
Let f be ((-25)/125)/((-2)/20). Let s = -2 + 12. Solve s = -0*x - f*x for x.
-5
Let c = -21 - -22. Solve -c = 3*p - 7 for p.
2
Let a = -65 - -67. Solve -7 + 15 = -a*i for i.
-4
Let q(v) = v**3 + 9*v**2 + 7*v - 11. Let p be q(-8). Let s be p + 10*(-2)/(-4). Suppose s*o - 16 = -2*o. Solve 5*l - 3*l = o for l.
2
Let c be ((-4)/10)/((-1)/(-5)). Let g = 5 + c. Suppose -g*r = -6 - 0. Solve -r*h + h + 5 = 0 for h.
5
Suppose -3*w + 5*u - 11 = 0, -4*u - 2 = -3*w - 9. Suppose -36 = -0*l - w*l. Let g = l - 6. Solve 5*v + g = 2*v for v.
-2
Let p(c) = c - 5. Let j(u) = -u**2 + 8*u - 4. Let i be j(6). Let v be p(i). Solve 5*y - 10 = v*y for y.
5
Let d(q) = q - 15. Let j be d(17). Suppose j*f = f. Solve k = -f - 1 for k.
-1
Let f = 30 - 18. Let y(g) = -2*g + 12 + 2*g - g. Let t be y(f). Solve -3*i + 0*i + 6 = t for i.
2
Suppose -7*u - 3*o = -2*u + 33, 0 = -3*u + 5*o - 47. Let k = -4 - u. Let i = 5 - k. Solve i = -5*l + 5 for l.
1
Let s(r) = r**3 - 9*r**2 - 11*r + 10. Let l be s(10). Solve -n - n + 8 = l for n.
4
Let x = 6 - 0. Let m be (x*1)/(6/3). Suppose 0*b = 2*a - 5*b - 28, 3*b = -m*a. Solve -a*p + 0*p + 12 = 0 for p.
3
Suppose -2*a + 2*l = 2, -3*l + 8 = 4*a - 4*l. Solve -a*r = -7 - 5 for r.
4
Suppose 0 = 3*z + 2*d - 14, 0 = z - 2*d - 3 - 7. Let o(i) = i + 2. Let j be o(2). Suppose 9*m = 4*n + j*m - 15, 15 = 5*n - 5*m. Solve -z*v + v = n for v.
0
Suppose q = 5*n - 42, -6*n - 4*q + 21 = -5*n. Let i = 6 + -3. Let x(c) = c**3 + 3*c**2 - 11*c - 5. Let p be x(-5). Solve -i*a = -p*a + n for a.
-3
Let i be (10 + (2 - 2))*2. Solve -i + 4 = 4*s for s.
-4
Let r = 1 + -2. Let k be ((-3)/r)/((-4)/(-4)). Suppose k*b - 10 = 20. Solve -3*d + b = -d for d.
5
Let a(o) = -o**2 + 2*o - o**3 - 2 + o + 2*o**2. Let q be a(2). Suppose -v - v = q. Solve v = g - 5*g - 12 for g.
-3
Let t be
|
{
"pile_set_name": "DM Mathematics"
}
|
= -677 + 681. What is v(l)?
19
Let t(z) = z**3 - 9*z**2 + 4*z + 7. Let q(y) be the first derivative of y**3/3 + 18. Let w(o) = 2*q(o) + t(o). Calculate w(6).
-5
Let q(s) = s**2 - 6*s - 2. Let f = 317 - 312. What is q(f)?
-7
Let s(j) = 2*j + 0*j**2 - 3*j - 6*j**3 - 2*j**2. Let h(p) = -3*p**2 - 38*p - 25. Let v be h(-12). Determine s(v).
5
Let r(c) = -15*c**2 + 3*c + 24 + 20*c**2 - c**3 - 15*c**2. Determine r(-10).
-6
Let i(d) = 1 + d**2 + 5*d + 4 + 1. Suppose z - 10 = 10. Let l = 15 - z. Determine i(l).
6
Let v(n) be the first derivative of n**2/2 - 7*n - 1. Suppose -30*z + 3*g + 7 = -29*z, -5*g + 15 = z. Give v(z).
3
Let a = -13 - -13. Let n(g) = 2*g - g**3 + a*g**3 + g**2 + g**2 - g**2. Let y(k) = k**2 + 5*k + 6. Let o be y(-4). Determine n(o).
0
Let w(y) = y**2 + 5*y - 2. Let h(a) = a - 6. Let f be h(14). Suppose f*d = -47 + 7. Calculate w(d).
-2
Let l(p) = -p**3 - 7*p**2 - 6*p - 3. Let j be l(-6). Let q = 7 - 5. Let f(u) = 2*u + 4 + 2*u + 2*u**2 + u**2 - q*u**2. What is f(j)?
1
Let x be (-2)/4*20/10. Let d(p) = 10*p**3 + 2*p**2 - 3*p - 4. Let t be d(x). Let b(k) = -k**3 - 9*k**2 + k - 11. What is b(t)?
-20
Suppose 5*y - d = -25, -4*y + 8*y = 3*d - 31. Let a(r) = 2*r**2 - 3*r + 4. Determine a(y).
48
Let l(n) = -45*n**2 - n**3 + 2 + 1 + 19*n**2 + 3*n**3 + 28*n**2. Determine l(-3).
-33
Suppose 8 = -2*r + y - 2*y, 0 = y + 4. Let p(h) = -2*h + 1. Calculate p(r).
5
Let h(u) = 11*u**2 + 11 - 10 - 2*u - 9*u**2 + 3*u + u. Let s(g) = 2*g - 2. Let x be s(6). Suppose 4*a = -a - x. Calculate h(a).
5
Let t(d) = -d + d**2 + 632*d**3 - 1266*d**3 - 1 + 632*d**3. What is t(2)?
-15
Suppose v + 4*v + 15 = 0. Let b(q) be the second derivative of q**5/20 + q**4/6 - q**3/2 - 2*q**2 - 3*q. Determine b(v).
-4
Let v(n) = 41*n + 24. Let i(u) = 8*u + 5. Let k(j) = 11*i(j) - 2*v(j). Let z(c) = c + 1. Let b(r) = 6*k(r) - 34*z(r). What is b(-6)?
-4
Let b(n) be the first derivative of -n**3/6 + 3*n**2/2 + 2*n - 30. Let c(a) be the first derivative of b(a). What is c(8)?
-5
Let j(d) = -3*d**2 - 3*d + 3. Let p = 58 + -57. Suppose 5*b - 14 = -2*v, 3*v + 4 + p = -b. What is j(v)?
-15
Let g be ((-72)/60)/((-7)/(-10) - 1). Suppose g*p - 46 = -5*r, -2*r + 2*p + 32 = r. Let k(s) = s**2 - 9*s - 4. Give k(r).
6
Let u = 480 - 487. Let m(p) = 2*p + 16. Determine m(u).
2
Let j(z) = 21*z + 4. Let v(y) = 16*y + 6. Let g(i) = 3*j(i) - 4*v(i). Determine g(-4).
-8
Let v be 28/(-6)*42/(-49). Let z be (2 + -5 + v)/(-1). Let f(a) = -11*a**3 - a**2 + a + 1. Determine f(z).
10
Suppose -d = -0*d. Let f(a) = -9 + 2 + d*a + a. Let t(g) = -g + 6. Let p be t(0). Give f(p).
-1
Suppose 0 = -0*y + 3*y - 12. Suppose -m - 12 = -5*i, m = -y + 2. Let t(r) = -2*r**i + 0 - r**3 + 5*r**3 + 4*r**3 + 1. Give t(-1).
-9
Let z = -312 + 310. Let f(a) = -4*a - 1. Give f(z).
7
Suppose 2*a + 2 - 6 = 0. Let n = a + -1. Let r(f) = 3*f + 2*f + n - 2*f. Calculate r(-3).
-8
Let b(y) = -2*y - 1. Let f be -561*3*4/(-36). Suppose -182 + f = -i. Give b(i).
9
Let r(a) = a**2 - a + 25. Let h be r(0). Suppose -3*c - h = -8*c. Let w(k) = -k**3 + 3 - c*k**2 + 5 + 12*k - 3*k. Determine w(-6).
-10
Let m be (1 - 36/48) + (-7)/(-4). Let q(r) = 5*r**3 + r**2 - 3*r + 2. Give q(m).
40
Let b(h) = 5*h**3 + 20*h**2 - 3*h - 20. Let j(k) = -2*k**3 - 7*k**2 + k + 7. Let y(q) = -6*b(q) - 17*j(q). Let c be 9/18*(2 + -4). Calculate y(c).
-5
Let b(j) be the second derivative of -j**3/6 + 9*j**2/2 - 47*j - 2. Suppose -7 - 2 = -3*g. Let l = -3 + g. Calculate b(l).
9
Let q(o) be the third derivative of -1/6*o**3 + o**2 + 0*o + 1/24*o**4 + 0. Determine q(-6).
-7
Let v(c) = -6*c. Let q be v(1). Let y(b) = 7*b**2 - 2*b + 5 + b**3 - 13*b + 8*b + 12*b. Calculate y(q).
11
Let m(t) = -8 - 5 - 7*t - 7 + 25. Let z be m(1). Let b(k) = -2*k + 2. Give b(z).
6
Let i = 26 - 36. Let g = 12 + i. Let r(q) = 0*q**g - 1 + q + q**2 + 2*q + 2. What is r(-2)?
-1
Let j(p) = -2*p**2 - 3*p + 1 + p**2 + 4*p. Let q(v) be the first derivative of v**4/4 + 6*v**3 + 31*v**2/2 - 13*v + 3. Let i be q(-16). What is j(i)?
-5
Let i(z) be the first derivative of 0*z**2 - 19 + 1/4*z**4 + 4/3*z**3 - z. Give i(-3).
8
Let n(o) = 3*o + 2. Suppose 2*m - 16 = -2*q + 3*m, -5*m - 38 = -3*q. Let s be (32/q + -5)/(2/(-12)). Determine n(s).
-4
Let o(n) be the first derivative of 2*n**4 + 2*n**3/3 - n**2 + n + 2. Suppose 0 = y + 3, 8 = -7*t + 3*t - 4*y. What is o(t)?
9
Let r(a) = 6*a - 6. Let k(q) = 7*q - 7. Let p(g) = -5*k(g) + 6*r(g). Suppose -13 = z - 5*n + 3*n, 0 = -2*z - 2*n - 2. Determine p(z).
-6
Suppose 0 = 8*z - 13*z + 765. Let h(n) = 150*n - z*n + 0 + 6. Determine h(6).
-12
Let b(d) be the third derivative of d**4/24 - 7*d**3/6 - d**2. Let f(g) = 44*g - 38. Let p be f(1). Determine b(p).
-1
Let v(k) be the third derivative of k**4/6 + 2*k**3/3 + 187*k**2. Determine v(6).
28
Let g(f) = -16*f**2 + 4*f - 9. Suppose b - 2*z = -15, -13 + 3 = -5*z. Let y(t) = -3*t**2 + t - 2. Let n(k) = b*y(k) + 2*g(k). What is n(3)?
4
Suppose 2*c = -3*y + 33, 2*y - c + 4*c - 27 = 0. Let f(s) = s. Determine f(y).
9
Let l(o) be the second derivative of -o**7/2520 - 2*o**4 - 18*o. Let b(t) be the third derivative of l(t). Calculate b(1).
-1
Let c(p) = p**2 + 13. Let k = -106 + 106. Determine c(k).
13
Let i(n) = -n**2 + 9*n. Let a = 728 - 721. Calculate i(a).
14
Let g(m) be the first derivative of -m**4/4 + 4*m**3/3 + 3*m**2/2 + 3*m - 1. Let i be (0 + 1)*(3 + -1)/((-74)/(-185)). Calculate g(i).
-7
Let d = 5 - 4. Let s(n) be the second derivative of -n**3/2 + n**2/2 + 9*n. Determine s(d).
-2
Let h(i) = -i - 4. Let y = 17 + -1. Let v = y - 12. Give h(v).
-8
Let j(r) = 13 + 15*r + 12 - 27*r + 13*r. Give j(-18).
7
Let p(g) = -65*g - g**2 - 60*g + 3*g**2 + 124*g. Give p(-1).
3
Suppose -2*z = i - 17, -2*i - 22 - 34 = -5*z. Let w(j) = -j**2 + 11*j - 6. Determine w(z).
4
Let z(u) be the first derivative of 3*u**2/2 + 6*u - 6. Let v(r) = 31 + 12*r + 9*r - 7*r + 2*r. Let f(j) = -4*v(j) + 22*z(j). Calculate f(-6).
-4
Suppose 2*c - 5*l - 13 = 0, -4*l + 0*l = -12. Let d = -5 + c. Let x(y) = 3*y - 7*y + d*y**2 + 1 + y + y. What is x(1)?
8
Let c be 2*(0 + 10 - 0). Suppose b = -4*f + c, 0 = f + b - 2. Let d(t) = -6*t + 4*t**2 - f + 0*t**2 - 5*t**2. Calculate d(-5).
-1
Suppose r - 5 = 4*s - 15, -19 = -2*r - 5*s. Let t(x) = -x**3 + x - 1. Give t(r).
-7
Let j(m) = m**2 - 5*m + 2. Let f be j(5). Let r(n) be the first derivative of 8*n**2 + 67. Let a(t) = -3*t. Let i(b) = f*r(b) + 11*a(b). Determine i(-6).
6
Let j = -257 - -244. Let m(o) = o**2 + 13*o + 18. What is m(j)?
18
Let a(k) be the second derivative of -k**5/20 + k**4/2 + 5*k**3/6 - k**2 + 28*k + 2. Calculate a(7).
-16
Suppose -g = -3*g - 4. Let l be 18/(-18) - (g + 4). Let f(t) = 8*t - 2. Give f(l).
-26
Let j(s) = -2*s**2 + 9*s - 13. Let g(u) = u**2 - 8*u + 14. Let v(w) = 3*g(w) + 2*j(w). Calculate v(-8).
0
Let l(d) = d**3 + 8*d**2 + 5*d - 9. Let b = -25 + 18. Let k be l(b). Let s(z) = -z - 2. Let f(i) = -5*i + 3. Let n(p) = -f(p) + 4*s(p). Calculate n(k).
-6
Let q(j) = j**2 + 3*j + 4. Let l be q(-3). Suppose -b + l*b = 3. Let v(r) = 10*r**2 - r + 8*r**3 - 4*r**2 + r**2 - 6*r**2. What is v(b)?
8
Let r be (3/2)/((-3)/(-2)). Let n(c) = -10*c. Determine n(r).
-10
Suppose 0 = 2*j - 5 - 1. Let k(f) = 2*f**3 - 2*f - 4*f**2 - 8 + 2 - 3*f**j. Suppose -41 = 5*z - 3*a, -4*z + 0*z + 4*a - 44 = 0. Calculate k(z).
2
Let k(p) be the second derivative of p**5/10 + p**4/12 - p**2 + 387*p. Let l = 0 + -2. Determine k(l).
-14
Let o(r) be the third derivative of r**4/6 + r**3 + 21*r**2. Let f(n) = 3*n + 5. Let u(d) = 3*f(d) - 2*o(d). Calculate u(-6).
-3
Suppose -4*x = -7*x. Suppose x = 5*d - 17 + 2. Let f(n) = -d*n + 4*n - n**2 - 1 + 12*n**3 + 0 - 4*n**3. Determine f(1).
7
Let o(x) = -3*x**2 + 3 - 10*x**2 - 6*x + x**2 + 11*x**2. Determine o(-7).
-4
Let p(f) = -f**3 - f**2 - 3*f - 4. Let x(l) = l**2. Let k(v) = p(v) + 6*x(v). Let j = 101 - 50. Let w = j - 47. What is k(w)?
0
Suppose -5*c + 9 = 3*o + 34, -2*c - 2*o = 10. Let z(r) = 49*r - 27*r - 12 - 21*r + 10. What is z(c)?
-7
Let v(p) = 9*p**2 + 25 - 7*p + 7*p - 24. Let j be 2 + 0 - (16 - 15). Determine v(j).
10
Let b(i) = -2*i**3 - 30*i**2 - 26*i + 24. Let q be b(-14). Let m(o) = 3*o + 12. What is m(q)?
0
Let b(k) be the third derivative of k**4/8 - k**3/6 - 13*k**2. Give b(-1).
-4
Suppose 193*c = 188*c - 15. Let k(i) = -i**2 - 2*i + 4. Giv
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 - o**p wrt o?
-60*o**2
Suppose 4*p - 8 = -4*k, 5*k - 2*p + 2 + 2 = 0. Let x(v) = v**3 + v**2 + v + 6. Let w be x(k). What is the third derivative of 3 + 3 + 4*n**4 - w + n**2 wrt n?
96*n
Let h be ((-3)/(-9))/(4*1/4). Let u(m) be the third derivative of 0 + 0*m - 1/24*m**4 + 2*m**2 - h*m**3. What is the first derivative of u(r) wrt r?
-1
What is the third derivative of 22 - 3*b**6 - 22 - 4*b**2 wrt b?
-360*b**3
Find the second derivative of 10*v + 54 - 54 - 30*v + 28*v**2 wrt v.
56
Suppose 7 = 4*t - 13. Let k be 3*4/30*t. What is the second derivative of 5*v - v**2 - v + 0*v**k - 2*v wrt v?
-2
Let r(o) be the first derivative of -5 - 3 + 3*o - o**2 + 6. Find the first derivative of r(c) wrt c.
-2
What is the first derivative of 15*c**4 + 8 - 4 + 1 wrt c?
60*c**3
Let g(l) = -15*l + 14. Let z(n) = 7*n - 7. Let j(r) = -2*g(r) - 5*z(r). What is the first derivative of j(t) wrt t?
-5
Find the first derivative of 2 + 11*f**3 - 4*f**3 - f**3 - 11 wrt f.
18*f**2
Find the second derivative of 2*g**5 + 4*g**5 - g + 4*g**5 - 11*g**5 wrt g.
-20*g**3
Let u(r) be the first derivative of -5/2*r**2 + 0*r**3 - 7 + 0*r + 7/4*r**4. Find the second derivative of u(j) wrt j.
42*j
Let l(u) = -u - 1. Let b(j) = -4*j - 9. Let a(h) = -b(h) + 5*l(h). Let f(o) = 3. Let k(q) = -2*a(q) + 3*f(q). Find the first derivative of k(x) wrt x.
2
Find the second derivative of 9*d - 3*d + d**2 + 3*d + 0*d wrt d.
2
Find the second derivative of 29*c**4 - 29*c**4 + 7*c**5 + 8*c wrt c.
140*c**3
Suppose 4*b = -b - 30. Let k(l) = -10*l**4 - 4. Let z(u) = 9*u**4 + 3. Let c(f) = b*k(f) - 7*z(f). What is the derivative of c(y) wrt y?
-12*y**3
Let z(i) = i. Let x(v) = -6*v. Let t(c) = 5*c - 1. Let a(r) = 2*t(r) + 3*x(r). Let q(p) = -a(p) - 5*z(p). Differentiate q(u) with respect to u.
3
Differentiate 178*o + 13*o**4 + 12 - 178*o with respect to o.
52*o**3
Suppose 4*a = -j - 1 + 2, 4*j - 4*a = 24. Let v = 5 - 2. Differentiate b**4 + 1 - v*b**4 - 3 + j*b**4 with respect to b.
12*b**3
Let f(p) = 19*p**2 + 9. Let c(u) = 9*u**2 + 4. Let n(a) = -5*c(a) + 2*f(a). What is the derivative of n(v) wrt v?
-14*v
Suppose 0 = 2*m + 2*m - 8. What is the first derivative of -2*v + 6*v**m - 2 + 1 + 2*v wrt v?
12*v
Suppose 2*z - 24 - 4 = 0. Suppose -2*d - 2*k = -z, -13 = 3*d - 4*d - 4*k. Find the second derivative of d*y**2 - 3*y**5 - 2*y - 3*y**2 - 2*y**2 wrt y.
-60*y**3
What is the third derivative of 5*x**2 + 0*x**2 - 2*x**5 - x**2 + x**5 wrt x?
-60*x**2
Let g(v) be the second derivative of 3*v + 0*v**2 + 1/6*v**4 + 0 + 1/6*v**3. Find the second derivative of g(n) wrt n.
4
Let x(m) = m + 3. Let a(n) = 3*n + 8. Let d(i) = 6*a(i) - 17*x(i). What is the first derivative of d(l) wrt l?
1
What is the first derivative of -2 + 0 + 3 + 2*g wrt g?
2
Let u be 3/3 + -1 + 4. Find the third derivative of c**u - 3*c**2 + c**2 + 3*c**2 - 6*c**2 wrt c.
24*c
Suppose 0 = 8*h - 4*h - 32. What is the derivative of 3*u**2 - h + 4 + 4*u**2 wrt u?
14*u
Let z = 3 - 0. What is the second derivative of 25 + z*a - 25 - 2*a**5 wrt a?
-40*a**3
What is the third derivative of l**4 + l**4 - 4*l**4 + 11*l**2 - 2*l**4 wrt l?
-96*l
Let n(v) be the first derivative of v**7/70 + v**3 - 2*v**2 + 10. Let p(y) be the second derivative of n(y). Differentiate p(m) wrt m.
12*m**3
Let p(w) be the first derivative of w**2 - w**2 + 2*w**4 - 3*w + 4 - 2*w. What is the first derivative of p(b) wrt b?
24*b**2
Let w(z) = -z**3 + 4*z**2 - 2*z - 1. Let l be w(3). Find the third derivative of 3*k**5 - k**5 + 5*k**l - 2*k**2 wrt k.
120*k**2
Suppose -m + 14 = 2*m - 4*p, -29 = 2*m + 5*p. Let n be -2 - m/(4/10). What is the derivative of -2*k**2 - n*k**2 + 2*k**2 - 3 + 0*k**2 wrt k?
-6*k
Let d(t) be the second derivative of -t**6/6 + 5*t**2/2 - 13*t. Differentiate d(b) with respect to b.
-20*b**3
Let z(w) = -4*w**3 - 3*w**2 + 6. Let t(s) = s**2 + 1. Let d(f) = -3*t(f) - z(f). What is the derivative of d(l) wrt l?
12*l**2
Let i(q) = -q**5 - q**4 - q. Let j(u) = 16*u**6 - 3*u**5 - 3*u**4 - 14*u**2 - 3*u. Let v(f) = 3*i(f) - j(f). Find the third derivative of v(m) wrt m.
-1920*m**3
Find the third derivative of -3*t**3 + 11*t**3 + 13*t**3 - 4*t**2 - 33*t**2 wrt t.
126
Suppose -2*y + 10 = 3*y. Suppose y*p - 1 = 5. Find the third derivative of -2*i**2 + p*i**4 + 3*i**2 - 4*i**4 wrt i.
-24*i
Let c(d) be the second derivative of 2*d**6/15 + 7*d**3/6 + 27*d**2/2 + 6*d. What is the first derivative of c(v) wrt v?
16*v**3 + 7
Let d = 26 - 22. Differentiate 1 - m**d + 6 - 2*m**4 wrt m.
-12*m**3
Let z(x) be the third derivative of 3*x**7/70 + x**3 + 8*x**2. What is the first derivative of z(k) wrt k?
36*k**3
Let n be 10/(-3)*(-1 - 2). Suppose -2*i - 2 = -n. What is the third derivative of g**4 + 3*g**2 - 2*g**2 + g**i wrt g?
48*g
Let b(s) be the third derivative of 0*s**3 - 1/24*s**4 + 0 + 2*s**2 - 1/20*s**5 + 0*s. What is the second derivative of b(y) wrt y?
-6
Let j(r) = -104*r**4 + 44*r**2 - 120*r + 44. Let z(b) = -7*b**4 + 3*b**2 - 8*b + 3. Let k(x) = 6*j(x) - 88*z(x). Find the second derivative of k(y) wrt y.
-96*y**2
Let t(p) be the third derivative of 17*p**7/210 - 53*p**3/6 - 63*p**2. What is the first derivative of t(l) wrt l?
68*l**3
Differentiate 23*z**2 - 4 - 14 + 5 + 5 with respect to z.
46*z
Let n = 5 + -2. What is the third derivative of n*d**5 + 4*d**5 + 11*d**6 + 7*d**2 - 7*d**5 wrt d?
1320*d**3
Let b(w) be the second derivative of 0 + 0*w**2 + 3*w + 1/3*w**3 - 5/12*w**4. Find the second derivative of b(u) wrt u.
-10
Find the third derivative of -48*r**6 - 10*r**2 + 40*r**2 + 34*r**6 wrt r.
-1680*r**3
Suppose -20 = -2*j - 8. Let u(k) = -k**2 + 1. Let z(m) = -2*m**2 + 9. Let f(b) = j*u(b) - z(b). Find the first derivative of f(w) wrt w.
-8*w
Let o(z) be the first derivative of 3*z**5/20 - z**3/3 + z + 1. Let g(p) be the first derivative of o(p). Find the second derivative of g(a) wrt a.
18*a
Differentiate 20 + 14*b - 2*b + 5*b - 3*b wrt b.
14
Suppose -5*p + 2*t = -5, 6*p - 3*t - 3 = 3*p. Differentiate -p - 10*h**2 + 6*h**3 + 10*h**2 - 2*h**3 with respect to h.
12*h**2
Let c(x) be the first derivative of -x**7/14 + x**4/3 - 3*x + 2. Let v(m) be the first derivative of c(m). What is the third derivative of v(k) wrt k?
-180*k**2
Suppose -3*j + 1 = 5*r + 3, 2*r + 12 = -4*j. Differentiate -3*y**2 - 6 + 0*y**r - 3*y**2 + 2*y**2 wrt y.
-8*y
Let v(z) = 3*z**3 + 10*z**2 - 23*z + 1. Let l(r) = -r**3 - 5*r**2 + 11*r - 1. Let k(b) = 5*l(b) + 2*v(b). What is the second derivative of k(x) wrt x?
6*x - 10
What is the third derivative of -8*r**6 + 48*r**2 + 42*r**6 + 213*r**5 - 213*r**5 wrt r?
4080*r**3
What is the second derivative of -2*w - 12*w**3 - 14*w + 5*w wrt w?
-72*w
Find the third derivative of -6*k**6 + 4*k**2 - 8*k**6 + k**6 + 4*k**2 wrt k.
-1560*k**3
Let j(b) be the third derivative of 3*b**6/40 + 11*b**5/60 - 7*b**2. What is the third derivative of j(s) wrt s?
54
Let m(y) be the third derivative of 0*y**6 + 0*y + 0*y**4 + 0*y**3 - 2*y**2 + 0 + 1/210*y**7 - 1/60*y**5. What is the third derivative of m(u) wrt u?
24*u
Let d(t) = -5*t**3 + 53*t**2 + 11*t + 11. Let g(r) = -2*r**3 + 18*r**2 + 4*r + 4. Let i(y) = -4*d(y) + 11*g(y). Find the third derivative of i(v) wrt v.
-12
Let a(z) be the third derivative of -7*z**5/20 - 10*z**3/3 - 7*z**2. Differentiate a(u) wrt u.
-42*u
Let h(c) = -c**2 + 1. Let u(g) = 2 - g + g**2 - 2*g**2 - 1 - g**3. Let a(q) = 3*h(q) - 3*u(q). Find the second derivative of a(s) wrt s.
18*s
Find the second derivative of -20*k**2 - 80*k + 38*k - 10*k wrt k.
-40
Let x(r) be the third derivative of r**6/60 - r**4/4 - 7*r**2. Find the second derivative of x(m) wrt m.
12*m
Suppose 7 = 2*h - 1. Find the second derivative of -2*l - l + h*l - 4*l**2 wrt l.
-8
Let w(i) = 36*i**4 + 5*i**3 - 5*i**2 + 5*i - 26. Let p(o) = -o**4 - o**3 + o**2 - o. Let y(c) = 5*p(c) + w(c). Differentiate y(l) with respect to l.
124*l**3
Let v(q) = 4*q**3 - q**4 + 4*q**4 + 3*q**4 + 9. Let u(z) = 17*z**4 + 11*z**3 + 26. Let a(m) = 4*u(m) - 11*v(m). Find the first derivative of a(n) wrt n.
8*n**3
Let j(v) = 29*v**2 - 22*v + 5. Let r(n) = -30*n**2 + 23*n - 6. Let x(k) = 6*j(k) + 5*r(k). Find the second derivative of x(t) wrt t.
48
Let c(u) be the second derivative of -9*u**6/10 + 23*u**3/6 - 64*u + 2. Find the second derivative of c(r) wrt r.
-324*r**2
Let j be 2/(-8) +
|
{
"pile_set_name": "DM Mathematics"
}
|
Calculate the remainder when c is divided by n.
1
Suppose 505*h - 509*h = 3*x - 771, 956 = 5*h - 4*x. Calculate the remainder when h is divided by 61.
9
Calculate the remainder when 140 is divided by 3/(4 + 235/(-60)).
32
Suppose 68 = 10*i - 7*i - 4*y, y - 11 = -i. What is the remainder when 59 is divided by i?
11
Suppose -4*k - 4 = 48. Let d(u) = u**2 + 8*u - 16. Suppose 0 = 4*l + 3*q - 37, -5*l + 22 = -q - 29. Calculate the remainder when d(k) is divided by l.
9
Let k = 71 + -31. Let q be 2/(-3)*267 - -1*2. Calculate the remainder when k is divided by (q/56)/(-1 + 12/14).
18
Let p = 88 + -80. Calculate the remainder when 63 is divided by p.
7
Let h(x) = x**3 + 2*x**2 - x + 2. Let l be h(-3). Let c = l + 4. Suppose -j - 6 = -3*a, j = -2*a - c*a + 4. What is the remainder when a is divided by 1?
0
Suppose 4*j - 2*f = 10, -3*j + 3*f + 2*f = -11. What is the remainder when 10/6*(28 + j) is divided by 4 - 0/5 - -9?
11
Suppose -3*g - q = -0*q - 85, -2*q = g - 35. Suppose -8 = -4*s + 48. Calculate the remainder when g is divided by s.
13
Let l be (440/(-77))/((-4)/14). Suppose l + 25 = 3*f. Calculate the remainder when f is divided by 6.
3
Suppose 371 = 2*o - 5*z, -2*o + 5*z + 365 = 6*z. What is the remainder when o is divided by 46?
45
Suppose 31 + 0 = t. What is the remainder when (-3 - 77/(-21))/(3/234) is divided by t?
21
Let i = 536 - 520. Calculate the remainder when 73 is divided by i.
9
Suppose 1 + 7 = 2*b, 2*b = -5*h - 217. Let v = h + 127. Calculate the remainder when v is divided by 22.
16
Let t(y) = -y**2 - 7*y - 3. Let j be t(-3). Suppose 9*r = 18 - j. What is the remainder when r is divided by 1?
0
Calculate the remainder when 114 is divided by 1 + 0 - (-39 + 0 + 9).
21
Let y(t) = t**2 - 3*t - 26. What is the remainder when 90 is divided by y(-5)?
6
Suppose -l = 4*l + 15. Let a = l + 8. Let y = a + 2. Calculate the remainder when 24 is divided by y.
3
Suppose 26*s - 80 = 18*s. Calculate the remainder when 59 is divided by s.
9
Suppose -2*n + 64 = -5*v, -95 = -5*n - 3*v + 34. Calculate the remainder when 344 is divided by n.
20
Let f = 499 - 478. What is the remainder when 1112 is divided by f?
20
Let v = 14 + 2. Let w be (1 + 12 - 1) + -1. Let b = v - w. What is the remainder when b is divided by 2?
1
Suppose 105 = j + 4*j. Calculate the remainder when j/((-3)/9*-1) is divided by 8.
7
Let l(r) = -2*r**2 - 3*r + 2*r**2 + 6 + r + r**2. What is the remainder when 83 is divided by l(5)?
20
Let h = -19 - -21. Suppose -4*o + 13 = -b - 4, -2*b = h*o - 16. Let s = -5 + 10. Calculate the remainder when s is divided by b.
2
Let f = 10 - 7. Suppose 53 + 61 = f*v. What is the remainder when v is divided by 10?
8
Let a be -5*(0 - (-6)/(-5)). Let d = 19 + -17. Let y = a - d. What is the remainder when 10 is divided by y?
2
Let v(t) be the third derivative of 0*t + 1/6*t**3 + 0 + 0*t**4 - 3*t**2 + 1/12*t**5. What is the remainder when 10 is divided by v(-1)?
4
What is the remainder when (-2 + 1)/1*(-132 + 108) is divided by 7?
3
Suppose -2*b - 6 + 38 = 2*c, 0 = -5*c + b + 74. What is the remainder when 131 is divided by c?
11
Suppose -305 = 3*j + 2*j. Let n = j - -120. What is the remainder when n is divided by 15?
14
Suppose 20*k - 346 - 454 = 0. Calculate the remainder when k is divided by 29.
11
Let n = 112 + -110. What is the remainder when 31 is divided by ((-21)/(-6) - 5) + 27/n?
7
Let k(i) = -i**3 + 8*i**2 - 3*i - 24. Let t be k(7). Suppose t*n - 38 - 82 = 0. Let g(r) = -12*r. What is the remainder when n is divided by g(-1)?
6
Let b(n) = -2 - 2*n**2 - n - 5*n**3 + 2*n + n**3. What is the remainder when b(-2) is divided by (-15)/10 + (-500)/(-40)?
9
Suppose 0*y - 3*y = -4*v + 38, 34 = 4*v - y. What is the remainder when 71 is divided by v?
7
Let v be -1 - -5 - (13 + -16). Suppose -3*y = -v - 56. Suppose z + 2 = 0, -z + 22 = 3*n - y. Calculate the remainder when 59 is divided by n.
14
Suppose 0*x = 2*x. Suppose -20 = -4*r - x. Calculate the remainder when 19 is divided by r.
4
Suppose -919 + 861 = -2*n. What is the remainder when 82 is divided by n?
24
Let i = -160 - -157. Suppose -5 - 7 = -3*d. What is the remainder when 8 is divided by d - (i - -3)/(-2)?
0
Let g = 839 - -58. What is the remainder when g is divided by 11?
6
Let q(b) = 26*b - 24. What is the remainder when q(3) is divided by 7?
5
Let t(f) = -3*f**3 - 3*f**2 - 3*f - 2. Suppose 4*b = 5*m + 174, -5*m + 38 + 64 = 2*b. What is the remainder when b is divided by t(-2)?
14
Suppose 2*q + 156 = 4*k, -k - k + 5*q + 86 = 0. Let y = -267 - -275. What is the remainder when k is divided by y?
6
Suppose 4*a - 3*t + 4*t = 198, 4*a - 206 = -5*t. Let o = a + -15. Calculate the remainder when o is divided by 12.
10
Let d be 40/15 - (2 - (-12)/(-9)). Suppose -d*h + 23 = -3. What is the remainder when 34 is divided by h?
8
Suppose -12*s = -16*s + 12. Suppose -4*j + 31 = s. What is the remainder when 13 is divided by j?
6
Let d(n) = -8*n**3 - 3*n**2 + n + 4. Let y(w) = 4*w + 14. Let b be y(-4). Calculate the remainder when d(b) is divided by 19.
16
Suppose 2*y = 2*r + 34, y + 3*r = -2 - 1. Let q be (-1581)/12 + (-1)/4. Calculate the remainder when ((-2)/(-6))/((-2)/q) is divided by y.
10
Suppose 3*i - 13 - 14 = 0. Let d = 15 + -9. What is the remainder when i is divided by d?
3
Calculate the remainder when 99 is divided by (((-231)/14)/11)/(3/(-40)).
19
Let x = 84 - 22. Let o = 87 - x. Calculate the remainder when o is divided by (21/(-6))/(-5*5/50).
4
Let g = 33 - 20. Let v = 38 - -29. What is the remainder when v is divided by -1 + g + (-6 - -4)?
7
Let t = -13 + 19. Let f(p) = 2*p + 24. Let q be f(-8). Calculate the remainder when q*(-6 + 3)/(-3) is divided by t.
2
Let j = -756 - -796. What is the remainder when 244 is divided by j?
4
Let w be (8 - 9) + (-3 - 0). What is the remainder when 134 is divided by (-9)/((1/w)/((-15)/(-20)))?
26
Let z be (3/2)/(5/10). Suppose z*b - 976 = -b. Suppose 5*i - i - b = 0. Calculate the remainder when i is divided by 16.
13
Let l(j) = 45*j**2 - 6*j - 2. What is the remainder when l(-1) is divided by 40?
9
Let p(t) = -3*t**2 + 7*t + 20. Let r be p(6). Let j = r - -86. What is the remainder when j is divided by 7?
5
Suppose 5*x + 4*k - k = 37, 0 = 5*x + 4*k - 41. Let n = 20 - x. Calculate the remainder when n is divided by 4.
3
Suppose 16 = -6*p + 88. Let m(z) = 2*z**2 - 19*z + 34. What is the remainder when m(p) is divided by 33?
28
Let x = -279 - -306. What is the remainder when x is divided by 25?
2
Let l be ((-21)/(-14))/(6/16). What is the remainder when 45 is divided by -1 + l/(7 + -3) - -10?
5
Let j = 967 + -586. What is the remainder when j is divided by 51?
24
Let a be 1 - 4 - (-3 - -1). Let t = -12 - -17. Calculate the remainder when a - (-5 + 3) - -5 is divided by t.
1
Suppose -10 = -l - 0*l. Calculate the remainder when (-7)/3*(-18)/3 is divided by 2/l - (-48)/10.
4
Calculate the remainder when 244/3*(-792)/(-96) is divided by 136.
127
Let b = 154 - 155. What is the remainder when b - 2 - 2/(-1) - -43 is divided by 15?
12
Let m = 40 - 76. Let b = 53 + m. Let n = 91 + -44. Calculate the remainder when n is divided by b.
13
Suppose 6*o - 1500 = -24*o. Calculate the remainder when o is divided by 15.
5
Let k = -1048 + 1219. Calculate the remainder when k is divided by 6.
3
Let k be 48 + -6 - (-1 - 0). Suppose -5*a = 2*q - 133 - k, 3*a - 5*q - 118 = 0. What is the remainder when 34 is divided by 1/((4/a)/1)?
7
Let k(v) = -38*v - 580. What is the remainder when 550 is divided by k(-20)?
10
Suppose -3 = k - b + 1, 2*b - 10 = 0. Suppose 1 = -l + 3. Calculate the remainder when l is divided by k.
0
Let n = 5 + 22. Let i = 58 - 6. Let t = i - n. Calculate the remainder when t is divided by 9.
7
Let x(b) = 2*b + 18. Suppose -5*y + 7*y + 24 = 0. Let k be x(y). Let t(c) = c**3 + 8*c**2 + 7*c + 2. What is the remainder when 61 is divided by t(k)?
29
Let y(m) = -10*m + 5. Let w be y(-7). Let b = -41 + w. What is the remainder when b is divided by 12?
10
Suppose -3*v + 23 + 22 = 0. Suppose -b + 21 = 1. Let q = b - -22. What is the remainder when q is divided by v?
12
Suppose -5*n + 5*r + 1349 - 9 = 0, -r = 2. Suppose -5*k - n = -12*k. Calculate the remainder when k is divided by 14.
10
Suppose -311 = -5*w - 4*m, 3*w - 5*m + 68 = 225. Let z = -34 + w. What is th
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2*w**5/15 + w**2 + 5. Let f(g) be the second derivative of o(g). Factor f(s).
2*s**2*(s - 2)**2*(s - 1)
Suppose -4 = -j + 1. Suppose 2*g**4 - j*g**4 + 2*g**2 - 2*g + 2*g**3 + g**4 = 0. What is g?
-1, 0, 1
Suppose 0 = r - 2*z + 2, r + r + 16 = z. Let y be r/28*24/(-30). Factor -2/7*c**3 + y*c + 0 + 2/7*c**2 - 2/7*c**4.
-2*c*(c - 1)*(c + 1)**2/7
Suppose 0 = 5*f - 6 + 61. Let h be 12/4 - f/(-5). Solve h - 14/5*o**3 - 24/5*o**2 - 6/5*o = 0 for o.
-1, 2/7
Suppose 2*j = -10, 5*j = -5*z - 9 - 1. Let h(c) be the third derivative of 0*c**4 - 1/120*c**6 + z*c**2 + 0 - 1/60*c**5 + 0*c + 0*c**3. Factor h(r).
-r**2*(r + 1)
Let a be (4 + -4)/(-2 - -1). Suppose a = -f - 0*f - 5, 4*f + 28 = 4*p. What is g in -1/2*g**4 + 1/2*g**p - 1/2*g**5 - g + 0 + 3/2*g**3 = 0?
-2, -1, 0, 1
Let c(a) be the third derivative of -a**5/20 - a**4/2 + 5*a**3/2 + 3*a**2. Solve c(i) = 0 for i.
-5, 1
Let x(u) be the first derivative of -4 - 3/4*u**4 + 6*u + 3/10*u**5 + 3*u**2 - 3/2*u**3. Find a such that x(a) = 0.
-1, 2
Let w(p) = -p**2 + 2*p + 5. Let j be w(4). Let u be (7 + j)/(-1 - -2). Factor -10*n**u + 0*n + 14*n**3 - 4*n**2 + 0*n.
-2*n**2*(n - 1)*(5*n - 2)
Let j(o) be the second derivative of -7*o**6/15 - 9*o**5/5 - 10*o**4/7 - 8*o**3/21 + 40*o. Factor j(a).
-2*a*(a + 2)*(7*a + 2)**2/7
Let u(a) be the second derivative of 2*a**6/105 + 3*a**5/35 + 13*a**4/84 + a**3/7 + a**2/14 - 7*a. Suppose u(b) = 0. Calculate b.
-1, -1/2
Suppose 13*x = 18*x - 15. Let n(f) be the first derivative of -x + 0*f - 1/4*f**4 + 0*f**2 + 2/3*f**3. Solve n(o) = 0 for o.
0, 2
Let m = 2 + -6. Let p be (-2 + 0 + 1)*m. Factor -2*j**p - 2*j**3 + 0*j**3 - 3*j**4.
-j**3*(5*j + 2)
Let v be (-10)/(-6) + 3/9. Suppose 4*n - 8 - 16 = 0. Determine p so that 0*p**3 - 3*p**4 + 2*p - v*p**3 - 5*p**2 - n*p**5 + 14*p**4 = 0.
-2/3, 0, 1/2, 1
Let w(l) = l**4 - 7*l**3 - 3*l**2 + 7*l - 6. Let x(v) = 7*v**3 + 3*v**2 - 7*v + 7. Suppose 0 = -2*i + i + 4. Let n(s) = i*x(s) + 5*w(s). Factor n(o).
(o - 1)**2*(o + 1)*(5*o - 2)
Let l be (7/(-3) + 2)*10/(-35). Let i(n) be the third derivative of -5/84*n**4 + 0*n + 5*n**2 + 0 - 1/30*n**5 + l*n**3. Solve i(u) = 0.
-1, 2/7
Let x(j) = -11*j**3 + 10*j**2 - 2*j. Let n(m) = -54*m**3 + 50*m**2 - 10*m. Let c(q) = -3*n(q) + 14*x(q). Solve c(k) = 0.
0, 1/4, 1
Let i = 6 - 5. Suppose i - 2*v + v**3 - v**4 + 4*v + 0*v**4 - 3*v**3 = 0. What is v?
-1, 1
Let l(z) = z + 9. Let k = 1 + -8. Let c be l(k). Let -40/9*i**5 - 16/3*i**3 + 4/9*i + 0 - 2/9*i**c + 86/9*i**4 = 0. Calculate i.
-1/4, 0, 2/5, 1
Let j(h) be the third derivative of -h**8/560 - 4*h**7/525 - h**6/100 + h**4/120 - 2*h**2. Solve j(n) = 0 for n.
-1, 0, 1/3
Let v(q) be the second derivative of q**4/18 - q**3/9 + 6*q. Find h such that v(h) = 0.
0, 1
Let h be 8/3*(-18)/(-8). Let r(l) be the third derivative of 0*l**3 + 0 + 1/12*l**4 + 2/15*l**5 - l**2 + 1/10*l**h + 4/105*l**7 + 0*l + 1/168*l**8. Factor r(y).
2*y*(y + 1)**4
Let u(l) be the third derivative of 0*l**5 + 2*l**2 + 0*l + 0 + 0*l**3 + 0*l**6 + 0*l**4 - 1/630*l**7. Suppose u(t) = 0. What is t?
0
Let d = 3225/11 - 293. Factor d*c**2 - 2/11*c + 0.
2*c*(c - 1)/11
Let g(m) = 5*m**4 - 4*m**3 + 5*m**2 + 3. Let s(w) = 15*w**4 - 13*w**3 + 14*w**2 + 8. Let b(j) = -8*g(j) + 3*s(j). Factor b(a).
a**2*(a - 1)*(5*a - 2)
Let c be 1/((-3)/(-2) - 1). Let w be 3/(-2 + 24/3). Factor 0*d + w*d**c + d**3 + 1/2*d**4 + 0.
d**2*(d + 1)**2/2
Factor 10/7*q**3 + 1/7*q**5 + 5/7*q - 5/7*q**4 - 10/7*q**2 - 1/7.
(q - 1)**5/7
Let y(w) = -8*w**2 + 28*w - 22. Let h(x) = -x**2 + 4*x - 3. Let a(g) = 44*h(g) - 6*y(g). Factor a(s).
4*s*(s + 2)
Let x(s) = -s**3 + 3*s - 1. Let h be x(2). Let p be (1/(-9))/(h/18). Find q such that p*q + 2*q**2 - 2/3*q**4 - 4/3 - 2/3*q**3 = 0.
-2, -1, 1
Factor 28*x**2 + 20*x**3 - 32*x**3 + 6*x - 7*x**2.
-3*x*(x - 2)*(4*x + 1)
Let g(o) be the second derivative of 16*o**7/189 - 8*o**6/135 - 23*o**5/90 + 7*o**4/54 + 7*o**3/27 + o**2/9 + 32*o. Determine a so that g(a) = 0.
-1, -1/4, 1
Let f(a) = -2*a**5 - 38*a**4 + 42*a**3 - 18*a**2. Let t(l) = l**5 + 13*l**4 - 14*l**3 + 6*l**2. Let m(u) = -3*f(u) - 8*t(u). Factor m(n).
-2*n**2*(n - 3)*(n - 1)**2
Let b be -2 + 42/12 + 0. Factor 1 + 1/2*x**2 + b*x.
(x + 1)*(x + 2)/2
Let u(z) = z + 16. Let v be u(-10). Suppose 0 = -2*y - 4*b + v + 14, -5*y + b = 5. Factor -1/2*a**3 + a**2 + y - 1/2*a.
-a*(a - 1)**2/2
Let f(i) = -i**2 - i + 1. Let w(a) = -a**4 + a**2 + 3*a + 8. Let x(u) = u**2 - 4*u - 1. Let n be x(-3). Let k(t) = n*f(t) - 4*w(t). Factor k(o).
4*(o - 3)*(o + 1)**3
Solve -4/3*d - 4/3 + 4/3*d**2 + 4/3*d**3 = 0 for d.
-1, 1
Let b(c) = c**3 - 43*c**2 - 187*c - 256. Let w = 25 - 31. Let s(x) = -2*x**3 + 42*x**2 + 186*x + 256. Let m(y) = w*b(y) - 5*s(y). Find p, given that m(p) = 0.
-4
Suppose 6*w - 2*w = 0. Suppose w = t + 4*t. Factor t*u**2 - 4/9*u**3 + 0 + 2/9*u + 2/9*u**5 + 0*u**4.
2*u*(u - 1)**2*(u + 1)**2/9
Let i(r) be the first derivative of -r**8/9240 - r**7/4620 - 4*r**3/3 + 8. Let p(f) be the third derivative of i(f). Factor p(g).
-2*g**3*(g + 1)/11
Let j be (-4)/(-6) - (-7)/3. Let l be 1 - ((-12)/j)/(-12). Solve -l*f + 10*f**2 - 4/3 = 0 for f.
-1/3, 2/5
Let j(r) be the second derivative of -r**4/6 + r**3 - 2*r**2 + 9*r. Let j(w) = 0. Calculate w.
1, 2
Let z(i) = i**3 + i**2 + 3*i - 5. Let q(k) = 6*k**3 + 4*k**2 + 16*k - 26. Let j(y) = 6*q(y) - 33*z(y). Factor j(w).
3*(w - 3)*(w - 1)*(w + 1)
Let q(x) be the third derivative of 0 + 1/210*x**5 + 5*x**2 + 0*x + 0*x**3 + 0*x**4. Factor q(l).
2*l**2/7
Suppose 24 = 3*n - 6. Let s = -17 + 19. Factor 2 - 33*i**3 - 26*i + 44*i**4 + 64*i**s - n*i**5 + 2 - 43*i**3.
-2*(i - 1)**4*(5*i - 2)
Let c(i) = i**4 + i**3 + i**2 - i + 1. Let p(x) = 2*x**5 - 9*x**4 + 19*x**3 + 15*x**2 - 21*x + 3. Let s(a) = -3*c(a) + p(a). Solve s(w) = 0.
-1, 0, 1, 3
Suppose -3*g = g + 384. Let y be (-2)/9 - g/189. Factor 0*h - y + 2/7*h**2.
2*(h - 1)*(h + 1)/7
Let y(j) = 12*j**3 - 4*j**2 - 12*j. Let i(q) = -q**4 - q**2 + q. Let s(z) = -4*i(z) + y(z). Factor s(k).
4*k*(k - 1)*(k + 2)**2
Let y be 1/((-6)/21)*2. Let c(w) = -13*w**3 - 24*w**2 - 30*w - 5. Let k(n) = 9*n**3 + 16*n**2 + 20*n + 3. Let a(b) = y*k(b) - 5*c(b). Factor a(z).
2*(z + 1)**2*(z + 2)
Let t(x) be the first derivative of 2*x**3/9 + 4*x**2/3 + 2*x - 4. Find w, given that t(w) = 0.
-3, -1
Let k(y) = 3*y**3 - y**2 - y + 2. Let n be k(2). Find c such that -10*c + n*c**2 + 7*c**3 - 13*c**3 + 4 - 8*c = 0.
1/3, 1, 2
Let p(a) = 3*a - 6. Let m be p(6). Suppose 3*i = -i + m. Solve i*j + 2 - j**2 - 3*j**2 + 5*j**2 = 0.
-2, -1
Let u(p) be the third derivative of 1/525*p**7 + 0 + 1/100*p**6 + 0*p**3 + 3*p**2 + 1/60*p**4 + 0*p + 1/50*p**5. Suppose u(j) = 0. What is j?
-1, 0
Let s(t) = 8*t**4 - 21*t**3 - 61*t**2 - 13. Let v(y) = 4*y**4 - 10*y**3 - 30*y**2 - 6. Let r(p) = -6*s(p) + 13*v(p). Factor r(z).
4*z**2*(z - 3)*(z + 2)
Let f(p) be the second derivative of -p**8/2800 + p**7/6300 + p**6/900 - 5*p**4/12 - 3*p. Let a(t) be the third derivative of f(t). Find r such that a(r) = 0.
-1/2, 0, 2/3
Let 8*g**5 - 4*g - g - 2*g**2 + 12*g**2 - 3*g**5 - 10*g**4 = 0. What is g?
-1, 0, 1
Factor 0*j**2 - 1/4*j**3 + 0 + 0*j.
-j**3/4
Let y(f) be the first derivative of 2*f**3/21 - 2*f**2/7 - 6*f/7 - 13. Factor y(h).
2*(h - 3)*(h + 1)/7
Let l be 0*(-4 + (-2 - -5)). Factor -7*s**2 - 4*s**3 + 6*s**2 + 4*s + l*s**2 + 1.
-(s - 1)*(s + 1)*(4*s + 1)
Solve 0*j**2 - 6/5 + 3/5*j**3 - 9/5*j = 0 for j.
-1, 2
Let k = 1/493 - -6893/4437. Suppose 2*g**2 - 10/9*g**3 + 2/9*g**4 - k*g + 4/9 = 0. What is g?
1, 2
Let v(g) = -162*g**4 - 563*g**3 - 548*g**2 - 163*g - 11. Let a(z) = 81*z**4 + 282*z**3 + 274*z**2 + 81*z + 5. Let u(y) = 5*a(y) + 3*v(y). Factor u(q).
-(q + 1)*(q + 2)*(9*q + 2)**2
Let v = -3 + 9. Let w be 0 + -1 - (-8)/v. Factor 1/3 - 2/3*a + w*a**2.
(a - 1)**2/3
Let n = -14 - -13. Let j(s) = -s**4 + s**2 - s + 1. Let w(u) = 3*u**4 - 4*u**3 + 4*u**2 - 2*u - 1. Let k(r) = n*w(r) - 2*j(r). Factor k(l).
-(l - 1)**4
Suppose 0 = 3*w + 4 - 13. Suppose -w*j - 6 = -5*j. Solve -2*r**2 + 2*r**j + 3*r - 2*r**2 - r = 0.
0, 1
Factor 3*z - 3 - 3/4*z**2.
-3*(z - 2)**2/4
Let t = 5 - 3. Factor 0 - 11*r - 2*r**2 + 0*r**t + 3*r - 8.
-2*(r + 2)**2
Let p(q) be the third derivative of 1/10*q**5 + 0 + 1/40*q**6 + 0*q + 0*q**3 + 1/8*q**4 - 3*q**2. Solve p(n) = 0 for n.
-1, 0
Let p(s) = s**3 + 5*s**2 - 4*s - 28. Let l be
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{
"pile_set_name": "DM Mathematics"
}
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p) = 79*p. Calculate d(m(f)).
6241*f**2 + 502519*f
Let d(h) = -168*h**2. Let v(q) = -1459*q**2. Give d(v(f)).
-357618408*f**4
Let p(i) = 260*i**2 + 12. Let w(n) = -n**2. What is p(w(y))?
260*y**4 + 12
Let h(s) = s**3 - 4*s**2 + 6*s - 5. Let u = 32 + -27. Let g be h(u). Let n(c) = 21*c**2 - g + 50. Let y(r) = -r. Calculate n(y(j)).
21*j**2
Let r(q) = -87*q + 14. Let w(n) = -85*n + 12. Let o(j) = 6*r(j) - 7*w(j). Let s(g) = 3*g**2. Determine s(o(b)).
15987*b**2
Suppose -s = -7 - 3. Let z(m) = -s*m + 19*m - 14*m. Let l(w) = -w + 4. Let c(h) = h - 5. Let d(a) = -4*c(a) - 5*l(a). Give z(d(j)).
-5*j
Let b(i) = -2*i. Let w(a) = 112868*a**2. Calculate b(w(r)).
-225736*r**2
Let b(t) = t. Let p(x) be the third derivative of -1/24*x**4 + 0 + 23*x**2 + 25/6*x**3 + 0*x. Determine b(p(k)).
-k + 25
Let m(i) = -29*i**2. Let l(c) = 2*c + 613. Determine m(l(y)).
-116*y**2 - 71108*y - 10897301
Let c(x) be the second derivative of x**3/6 + x. Suppose 0 = u + n - 7, 5*u + 2*n + 10 = 6*n. Let w(j) = -11 - u*j - 3*j + 11. Calculate c(w(r)).
-5*r
Let y(d) = 18*d. Let b(w) = 17894*w**2. Give y(b(q)).
322092*q**2
Let d(z) be the first derivative of 8*z**3/3 - 16. Let s(p) = -2*p**2 + 6*p + 6. Let f(u) = -2*u**2 + 5*u + 5. Let l(h) = 6*f(h) - 5*s(h). Give l(d(q)).
-128*q**4
Let g(p) = -p. Let c(w) = -1315641*w. Give g(c(j)).
1315641*j
Let o(y) = y. Let u(c) = -14485*c**2 - 2*c - 2. Determine u(o(z)).
-14485*z**2 - 2*z - 2
Let p(f) = -3*f. Let l(h) = h + 19. Let z(b) = -4*b - 77. Let t(v) = 22*l(v) + 6*z(v). What is p(t(n))?
6*n + 132
Let u(p) = 3*p**2. Let b(y) = y**3 + 7*y**2 + 21*y + 57. Let c be b(-5). Let q(g) be the second derivative of c*g + 0*g**2 + 0 + 1/2*g**3. Calculate u(q(o)).
27*o**2
Let n(v) = -32*v - 6. Let c = -115 + 109. Let k(y) = -32*y - 7. Let m(h) = c*k(h) + 7*n(h). Let u(f) = 2*f. What is m(u(o))?
-64*o
Let w(j) = 0*j**2 - j**2 - j**2 + 0*j**2. Let x(o) = 11*o + 20. Let g(h) = -10*h - 15. Let m(p) = 4*g(p) + 3*x(p). What is w(m(b))?
-98*b**2
Let i(d) = 2061*d**2. Let h(q) = 2*q. Give h(i(y)).
4122*y**2
Let z(n) be the third derivative of n**4 - n**3/3 + 3*n**2. Let i(p) = 2*p**2 + 15. Let u(w) = -7*w**2 - 55. Let a(s) = -11*i(s) - 3*u(s). Give z(a(r)).
-24*r**2 - 2
Let r(f) = 212*f. Let l(i) = 17*i - 13. Give l(r(o)).
3604*o - 13
Let u(d) be the first derivative of d**5/60 - 23*d**2 + 43. Let g(s) be the second derivative of u(s). Let w(p) = p - 2. Calculate w(g(m)).
m**2 - 2
Let w(i) = 2*i. Let d(u) = 68*u**2 - 576*u. Give d(w(t)).
272*t**2 - 1152*t
Let v = 89 + -88. Let j(o) = -v - 386*o + 384*o + 1. Let f(b) = -28*b. Calculate j(f(a)).
56*a
Let h(m) = 73*m. Let x(w) = 1417*w. What is h(x(a))?
103441*a
Let u(x) = 4*x**2 - x - 979. Let y(b) = -7*b. Determine y(u(m)).
-28*m**2 + 7*m + 6853
Let f(s) = 10238*s**2. Let x(o) = -21*o**2. What is x(f(j))?
-2201149524*j**4
Let m(k) = -6*k. Let d(l) = -2*l. Let b(f) = -11*d(f) + 4*m(f). Let z(i) be the second derivative of -14*i**4/3 + 248*i + 3. Calculate b(z(v)).
112*v**2
Let c(p) = -57*p**2 + 2*p + 2. Let s(l) = 10650*l**2 - 375*l - 375. Let i(q) = -375*c(q) - 2*s(q). Let a(f) = -3*f. Calculate i(a(u)).
675*u**2
Let d(y) = y - 4758. Let u(h) = 26*h. What is u(d(s))?
26*s - 123708
Let z(r) be the third derivative of r**5/12 + 135*r**2. Let q(s) = 42*s. Calculate q(z(k)).
210*k**2
Let y(m) = 2*m**2. Let s(t) = -2*t + t - 10 + 11 - 10*t. Calculate s(y(c)).
-22*c**2 + 1
Let z(g) = -113*g + 2. Let c(l) = 22*l - 1. What is c(z(t))?
-2486*t + 43
Let a(u) = 6*u**2 + 9*u + 54. Let y(l) = 3*l**2 + 5*l + 30. Let w(i) = -5*a(i) + 9*y(i). Let o(j) = -j + 90. What is o(w(d))?
3*d**2 + 90
Let f(u) be the second derivative of -u**4/3 + 124*u. Let t(m) = -6*m**2. Determine t(f(n)).
-96*n**4
Let z(b) = b**2. Let j(c) = 11 - 11 - 2*c + 3*c**2. Let v = 8 - 53. Let s(g) = 65*g**2 - 45*g. Let t(i) = v*j(i) + 2*s(i). What is t(z(m))?
-5*m**4
Let w(q) = -196*q - 76. Let s(n) = 11*n**2. Calculate s(w(j)).
422576*j**2 + 327712*j + 63536
Let g(m) = -3*m. Let b(y) be the second derivative of 11*y**3/3 - 3*y**2/2 + 23*y. Calculate b(g(p)).
-66*p - 3
Let m(a) = -5*a**2 + 655*a - 4. Let w(o) = 36*o. Give m(w(t)).
-6480*t**2 + 23580*t - 4
Let o(n) = 2*n**2. Let r(k) = 139917*k. What is r(o(v))?
279834*v**2
Suppose -4*r - 4*a + 4 = 0, 2*r - 6 = 3*a - a. Let k(l) = -4*l**2 + 7*l**2 - l**r - 4*l**2. Let i(y) = 25*y**2. Determine k(i(x)).
-1250*x**4
Let n(a) = 7*a**2. Let s(z) = -254*z**2 + 0 + 0 + 259*z**2. Give s(n(v)).
245*v**4
Let m(w) be the first derivative of -3*w**2/2 + 190. Let i(t) = 2 - 2*t - 2. Give i(m(l)).
6*l
Let k(o) be the second derivative of o**3 + 25*o. Let y(h) be the second derivative of h**3/6 + h. What is y(k(b))?
6*b
Let k(v) = 483538*v**2. Let p(z) = -2*z. Give p(k(b)).
-967076*b**2
Let k(v) be the third derivative of v**6/120 + v**3/3 + 3*v**2. Let o(y) be the first derivative of k(y). Let q(l) = -l - l + 7247 - 7247. What is q(o(x))?
-6*x**2
Let b(r) = 5*r**2 - 45*r. Let w(l) = -16*l**2 + 130*l. Let d(c) = -26*b(c) - 9*w(c). Let x(z) = 20*z. What is x(d(u))?
280*u**2
Let h(b) = -5*b**2. Let w be 0*2/4 - 3. Let i be (1/w)/(3/(-18)). Let c(a) = a - i*a - a. What is c(h(g))?
10*g**2
Let k(d) = d - 10*d + 3 - 3. Let v(y) be the first derivative of -y**2/2 + 42. Determine v(k(s)).
9*s
Let b(a) = 2*a. Let o(w) = 8 + 2*w + 7*w - 9*w + 3*w + 6. Determine o(b(d)).
6*d + 14
Let s(j) = 11 + 1 - 12 - 11*j. Let b(r) be the third derivative of -r**6/360 + r**3/6 - 2*r**2. Let n(g) be the first derivative of b(g). Give n(s(w)).
-121*w**2
Let t(p) = -283*p. Let c(s) = -12*s - 457. Calculate t(c(j)).
3396*j + 129331
Let x(c) = c. Let k(o) = 44195*o. Determine k(x(l)).
44195*l
Let s(y) = 253322*y**2. Let n(f) = 2*f. What is s(n(x))?
1013288*x**2
Let r(a) = -3*a**2. Let y(g) = 54*g**2 - 5*g - 15. Let l(q) = -2322*q**2 + 216*q + 648. Let c(t) = -5*l(t) - 216*y(t). Calculate r(c(m)).
-8748*m**4
Let o be (6/(-12)*2)/((-2)/18). Let s(v) = -20*v + o*v + 12*v. Let c(y) = 2 + 3*y - 2. Determine s(c(q)).
3*q
Let p(b) = -b**2 + 2*b. Let m(r) = 1247*r**2 - 2. Determine p(m(s)).
-1555009*s**4 + 7482*s**2 - 8
Let z(n) = -67*n**2 + n + 0*n - 2*n + 219*n**2. Let f(r) = -r**2. Give z(f(u)).
152*u**4 + u**2
Let a(m) = -5*m. Let h(p) = 622*p**2 + 7. Calculate a(h(r)).
-3110*r**2 - 35
Let k(x) = 7*x**2. Suppose 2 + 4 = 2*o. Let q(m) = 79 - 79 + o*m. Give q(k(h)).
21*h**2
Let y(f) = -13*f - 3 - 12 + 15. Let c(w) = 32*w**2. Give c(y(o)).
5408*o**2
Let y(g) be the first derivative of g**2/2 + 26. Suppose -3*z - 3 = -12. Let c(i) = 8*i - z*i + 6*i. Calculate c(y(v)).
11*v
Let m(v) = -3*v + 3*v + 17*v. Let u(w) = 74*w. Let x(q) = 198*q. Let n(d) = 8*u(d) - 3*x(d). Calculate m(n(l)).
-34*l
Let l(w) be the second derivative of w**5/30 - 2*w**2 + 6*w. Let q(y) be the first derivative of l(y). Let s(k) = 7*k**2. What is q(s(t))?
98*t**4
Let v(s) = -2*s**2. Let z(d) be the first derivative of -2*d**3/3 - d**2/2 - d + 9. Let c(k) be the first derivative of z(k). Calculate v(c(j)).
-32*j**2 - 16*j - 2
Let r(d) = -5*d. Let p(t) = 47*t**2 + 11*t - 11. Let i(j) = 9*j**2 + 2*j - 2. Let h(y) = -22*i(y) + 4*p(y). What is h(r(o))?
-250*o**2
Suppose 0 = -u + 3 + 1. Let r(z) = -7*z + u*z + 4*z. Let i(o) = -2*o. What is r(i(b))?
-2*b
Let n(d) = -5*d**2. Let s(i) = 2*i - 2. Let v(w) = 47*w + 12. Let k(m) = 6*s(m) + v(m). Determine k(n(z)).
-295*z**2
Suppose -5*g = -3*r - 10 - 9, 0 = -5*g + r + 13. Let x(q) = -q + 304*q**2 + q - 302*q**g. Let d(u) = 22*u**2. Give x(d(l)).
968*l**4
Let y(v) be the first derivative of -v**5/20 - 4*v**2 - 3. Let i(k) be the second derivative of y(k). Let u(c) = -3*c**2. Give i(u(o)).
-27*o**4
Let p(f) be the second derivative of f**4/12 - 309*f. Let c(r) = -88*r**2. What is c(p(h))?
-88*h**4
Let t(y) = -12*y + 52. Let r(w) = 3*w. Give r(t(x)).
-36*x + 156
Let o(a) = -328*a + 16. Let t(y) = 2*y. Calculate t(o(b)).
-656*b + 32
Suppose -2*u + j + 3*j + 26 = 0, -3*u = -j - 19. Let c(i) = -135 - u*i + 135. Let p(d) = d + 0*d - 3*d. Determine c(p(o)).
10*o
Let w(o) = o - 46. Let v(m) = -202*m. Give w(v(i)).
-202*i - 46
Let q(m) = -m**2 - 5*m + 22. Let x be q(-6). Let h(c) = 9 - x + 7 + 2*c**2. Let u(w) = -5*w**2. Determine u(h(p)).
-20*p**4
Let f(y) = 24 - 24 - 11*y**2. Suppose 3*g + 27 - 6 = 3*r, 0 = r - 5*g - 27. Let z(v) = -v**2 + 3*v**r
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{
"pile_set_name": "DM Mathematics"
}
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composite?
False
Suppose 0 = t + 5, -j + 3*t - 4*t = -726. Is j prime?
False
Suppose -5*b + 31 = 1. Let o = 20 - b. Suppose o = a - 23. Is a a prime number?
True
Let h be (-1)/5 - 63/(-15). Suppose -4*q + 54 = 4*p - 178, 5*q - 235 = -h*p. Is p a composite number?
True
Let w(m) = -m**2 - 7*m + 10. Let u be w(-8). Let j(t) = -t**u + 35 + 4*t - 3*t - t. Is j(0) prime?
False
Suppose -22519 = -4*b - u - 3459, -2*u = -5*b + 23825. Is b a composite number?
True
Let k(u) = -7*u + 5. Let l be k(-6). Let r(s) = -3*s - 3. Let y be r(-2). Suppose y*n - 34 = -2*i + 63, 2*n = -i + l. Is i composite?
False
Let m(j) = -12*j - 1. Let z = -7 - -6. Let x be -3 + 0/z - -2. Is m(x) composite?
False
Let w be ((-15)/9)/(4/96). Is (-2)/((w/(-796))/(-5)) composite?
False
Is (-9 + 10)/(1/1585) a composite number?
True
Let k(a) = -2*a - 2. Let y be k(-2). Suppose -y*i + 93 = i. Is i prime?
True
Is 1/(((-20)/(-1676))/5) prime?
True
Let n(i) be the third derivative of 11*i**6/120 + 3*i**2. Is n(1) prime?
True
Suppose 3*z + 2138 = 16865. Is z composite?
False
Let y = -2019 - -2958. Suppose -2*d - 2*t = -0*t - 382, 5*d - 3*t = y. Suppose 0 = -5*m - 24 + d. Is m prime?
False
Is (1 - 1 - -1)*2353 composite?
True
Let x be (-3)/(-3*3/12). Suppose 5*v + 4*k - 1 = 0, v = -3*k - x + 2. Suppose v = -3*f + 43. Is f a composite number?
True
Let n be ((-32)/(-12))/((-1)/3). Let p(q) = -q**2 - 3*q + 11. Let v be p(n). Let a = 24 - v. Is a a composite number?
False
Suppose 3*o + 4614 = 9*o. Is o prime?
True
Is (7 - (16 + 2))/((-2)/58) prime?
False
Let x = 29 + -52. Let a = x - -60. Is a composite?
False
Suppose 5*t - 3 - 9 = -2*b, 4*t - 24 = 2*b. Suppose 2*y = d - t + 1, -2*d = 4*y - 14. Is y - 2 - -15 - 0 composite?
True
Let b be 0 + 0 - 4/(-2). Suppose b*y + l - 30 = -0*y, -45 = -3*y + 4*l. Is y prime?
False
Suppose 3*p - 15 = 546. Is p composite?
True
Suppose 2*h = -2*q + 16, -q = 4*h + q - 34. Suppose -3*n - 4*s - 3 = -h, 0 = 2*s. Is n/6*(2 - -289) a prime number?
True
Suppose 11*r + 3110 = 17597. Is r a composite number?
True
Let l(t) = t**3 - 10*t + 5. Is l(8) composite?
True
Let h(y) = 5*y - 85. Let l(z) = 11*z - 170. Let s(n) = -13*h(n) + 6*l(n). Is s(0) prime?
False
Suppose 0 = -5*n + 15. Suppose 2*g = f - n*f + 1080, g = 4*f + 555. Let i = 916 - g. Is i prime?
True
Let o(l) = 164*l**2 - 2*l + 1. Is o(1) a prime number?
True
Let v = 256 + -89. Is v a prime number?
True
Let z = 982 - 648. Is z a prime number?
False
Let m(n) = -2*n + n - 2*n**2 - 2*n**2 - 2 + 8*n**2. Is m(-3) a composite number?
False
Let c be (3*-1)/(9/30). Let u(o) = -2*o**3 + 9*o**2 + 10*o + 3. Let p be u(8). Is 1/2 + p/c prime?
True
Let n(p) = 2 + 2*p - 3*p + 3. Is n(-5) a composite number?
True
Suppose 4*r - 1 = 3*b - 5, 3*b + 20 = -2*r. Let o be 1281/2*r/(-3). Suppose 4*k + 0*w = -5*w + o, 635 = 3*k + w. Is k prime?
True
Suppose -3*s - 2*j = -147, 5*j - 203 = -4*s - 0*j. Let w = s + -12. Is w a prime number?
False
Let p(h) = 12*h**2 - 3*h - 3. Suppose 5*w + l = -3*l + 32, -4*l = -3*w. Is p(w) a composite number?
True
Suppose -211 + 1792 = 3*i. Is i prime?
False
Let z(y) = y**2 - 19*y + 4. Let m be z(-15). Suppose -m = -i - i. Is i prime?
True
Suppose -2*u + 58 = -132. Is u a prime number?
False
Let t(k) = -3*k**2 - 6*k - 1. Let j be t(-8). Let w = 315 + j. Suppose b - 2*b = -d + 91, 0 = -2*d - 4*b + w. Is d prime?
True
Let l = 0 + -3. Let v = 1 - l. Suppose -5*c + 401 = -v*a, -2*c = -0*a + 2*a - 146. Is c a prime number?
False
Suppose 72 + 48 = 5*d. Suppose -m + d = -10. Is m a composite number?
True
Suppose 3*w - 1213 = 2*m, w - 426 = 7*m - 2*m. Is w a prime number?
True
Let a = 659 - 28. Is a composite?
False
Let p be ((-1)/(-3))/((-3)/(-1287)). Suppose -11 = -2*l + p. Is l composite?
True
Let s be 18/(-4)*(6 + 0). Suppose 18 = -3*d - 0*d. Let t = d - s. Is t a composite number?
True
Let w = 568 - 345. Is w a composite number?
False
Let r be (-1 + (-7)/3)*-3. Let k be 36/r + (-4)/(-10). Suppose -k*w = -134 - 174. Is w composite?
True
Let q(l) = 245*l + 12. Is q(11) a composite number?
False
Let w = -2 + -19. Is w/(-2) + (-3)/6 a composite number?
True
Suppose 7*g + 6 = 8*g. Suppose -537 = -g*h + 3*h. Is h a prime number?
True
Suppose -l + 219 = -3*u, -3*l = 2*u - 0*l + 157. Let q be u*1/(-2) + -3. Let i = 103 - q. Is i composite?
True
Suppose 4*c = 5*q + 85, -q + 20 = -5*q. Let b = c + 40. Is b composite?
True
Suppose 2*d + c = -d + 10, 4*c = -4*d. Suppose -y - 387 = -5*h - d*y, -y = 3*h - 235. Is h prime?
True
Suppose 6*a - a = -120. Let z be 2 - 1/((-2)/a). Is 4/6*(-285)/z a composite number?
False
Let f(r) = -r**3 + 6*r**2 - 6*r - 1. Let b be f(5). Let c(x) = -x**2 - 5*x + 8. Is c(b) a composite number?
False
Let f(q) = -q**3 - 6*q**2 + 6*q - 4. Is f(-7) composite?
False
Is 2 + 1 + 3201 - 1 prime?
True
Let j(x) = 5*x**2 + 11*x - 19. Is j(14) a prime number?
False
Let l = -95 + 388. Is l a prime number?
True
Let a(y) = y**2 - 9*y + 8. Let p be a(8). Suppose 6 = 2*f - 3*d, p*d = d. Suppose -f*q + 481 = 2*b, 4*b + 806 = 5*q + 3*b. Is q a composite number?
True
Suppose p = 2*g + 259, -g + 498 = 2*p - 0*g. Is p a composite number?
False
Let r be (3 - 1)*-2 - 4. Let h(p) = p**3 + 6*p**2 - p - 8. Let y be h(-6). Is 53*y/8*r composite?
True
Suppose -178 = 3*f + 44. Let m = 109 + f. Is m composite?
True
Suppose -5*j + 5*y + 456 = -7964, y = 3. Is j composite?
True
Suppose -3*b - n = -30, 2*n + 6 = b - 4. Let o(y) = 3*y + 7. Let v(q) = -4*q - 7. Let l(t) = -3*o(t) - 4*v(t). Is l(b) a composite number?
True
Let g be 130/(-4) + 5/10. Is 1/(-4) - 2216/g composite?
True
Let h be (-3)/2 - (-45)/6. Is (170/h)/(1/3) composite?
True
Suppose -t - 6 = 2*w, 4*w = -0*w - 12. Suppose 0 = -v - t*v + 47. Is v prime?
True
Let s(p) = -2 + 2*p - 174*p - 6*p - 129*p. Is s(-1) prime?
False
Suppose -n + 4*n = 18. Suppose -3*j + n*j + 3 = 3*a, 1 = -5*a - j. Suppose x - 33 = -a*x. Is x composite?
True
Let t = 23 - 17. Let l = 25 - t. Is l a composite number?
False
Let g = -22 + 12. Is (-93)/(-2) - 5/g a composite number?
False
Suppose d + 18 = m + 2*m, 4*d = 2*m - 22. Let u be -2 + 1*(m - 3). Suppose 0 = -0*j - 3*j - f + 9, u = -5*f. Is j a prime number?
True
Suppose 0 = 5*j - 6 - 19. Suppose -16 = -j*a + 34. Is a a composite number?
True
Let l(s) = s**3 - 7*s**2 + 2*s + 9. Is l(8) composite?
False
Suppose -2*i + 1293 = -3*i. Is (4/6)/((-2)/i) prime?
True
Let z(o) = -10*o**2 + o + 3. Let a be z(-7). Let y = -281 - a. Is y a composite number?
True
Suppose 0 = w + 4*w - 75. Is (2/5)/(1/w) a composite number?
True
Let l = 2062 - 1337. Suppose 4*n - l = -n. Is n composite?
True
Suppose 4*m + 32 = 5*w, 3*w + 0*m - m = 15. Suppose 5*l - w*n = 175, 3*n = -3*l + 7*n + 97. Suppose 5*k = 66 + l. Is k composite?
True
Let a = -6 + 10. Suppose 5*b = -a*p + 87, 5*b - p - 2*p - 101 = 0. Is b a prime number?
True
Suppose 4*d + 1395 = 9*d. Suppose -t = -140 - d. Is t a composite number?
False
Let b = 12 + -6. Suppose -b*d + 12 = -2*d. Suppose d*h - 6*w + w - 247 = 0, -3*w = 2*h - 152. Is h composite?
False
Suppose 7 = 5*b + 5*r - 78, -2*r = -3*b + 71. Let k = 36 - b. Is k a composite number?
True
Let v(d) = 5*d - 2 + 0 - 2. Suppose 12 + 6 = 3*b. Is v(b) a composite number?
True
Let x = 138 - -11. Is x composite?
False
Let y = 7 - 2. Let z(f) = -y*f + 2*f**2 - f**2 + 14 + 4*f. Is z(0) prime?
False
Let w(z) = -z**3 + 15*z**2 + 15*z - 17. Is w(14) a prime number?
True
Suppose -3*s + 1203 = -1437. Suppose 2*j = -4*y + 4*j + s, 0 = 3*y + 4*j - 671. Is y a composite number?
True
Let o(q) = -q + 4. Let y be o(5). Let b be (-2)/((-6)/9) + y. Suppose b*r + 3*t - 108 = 0, 0*t + 149 = 3*r - 2*t. Is r prime?
False
Suppose 0 = -3*z - 9, -4*z = -3*p - 5*z + 921. Is p/8 + (-1)/(-2) prime?
False
Let g = -8 - -3. Let a(s) be the first derivative of -s**4/4 - s**3 + 2*s**2 + 7*s - 3. Is a(g) prime?
True
Let a(y) = 210*y**3 - y + 2. Is a(1) a prime number?
True
Let j(m) = m**2 + m + 157. Let w(o) = 3*o - 2. Let d be w(2). Suppose d*z = 4*x - 12, 0 = -5*x + 2*z - 0*z + 6. Is j(x) a prime number?
True
Let d(v) = 5*v**2 + 6*v - 2. Let t be d(-8). Suppose 275 = 4*m - 3*i + 56, -5*i - t = -5*m. Is m composite?
True
Suppose 2*f - 3*f + 37 = 0. Is f prime?
True
Suppose -2*m - 3 = -3*m. Suppose -m*j - 188 = -5*z + 92, -202 = -4*z - 2*j. Is z prime?
True
Suppose x + 1476 =
|
{
"pile_set_name": "DM Mathematics"
}
|
. What is the highest common factor of 1242 and o?
23
Let k(j) = -3*j + 40. Let d be k(11). Suppose -d*w + 134 = -377. Calculate the greatest common factor of 146 and w.
73
Let x = -8288 + 14904. What is the greatest common divisor of x and 8?
8
Let f = -25054 - -25103. What is the greatest common divisor of f and 2989?
49
Suppose -75*p + 38282 + 18850 = -6*p. What is the highest common divisor of p and 207?
207
Let p be (-1)/((-5)/(-6) + 1737/(-918) + 1). Calculate the highest common factor of 7939 and p.
17
Let x = 16979 - 5283. What is the highest common divisor of 32 and x?
16
Let m be (9828/(-10))/(-6)*5*(-6)/(-9). Calculate the greatest common divisor of m and 588.
42
Let s(c) = -54 - 126*c - 64 - 36. Let z be s(-3). What is the highest common factor of 48 and z?
16
Suppose -36*c - 51*c = -26*c - 135054. Calculate the greatest common divisor of 1558 and c.
82
Suppose -29236 + 273436 = -4*a. Let d be a/(-231) + (-2)/7. Calculate the highest common factor of d and 22.
22
Suppose 69*y + 21833 = 73*y + 3*h, 0 = 2*h - 6. What is the greatest common divisor of 352 and y?
176
Let k = 53274 + -35382. What is the greatest common divisor of 54 and k?
18
Suppose 0 = -3*z + 4*l + 120 + 942, 5*z + 3*l - 1741 = 0. What is the greatest common divisor of 1120 and z?
70
Suppose 5753 = 158*j + 2593. Let s be (-4)/(-14) + 243/7. What is the highest common factor of j and s?
5
Suppose 0 = 2*i - 1 + 95. Let r = i + 6. Let d = r - -61. What is the highest common divisor of 20 and d?
20
Let g be (-15)/(315/14)*(-108855)/10. Calculate the highest common divisor of 531 and g.
177
Suppose 3*r - f = 260, -r - 110*f = -106*f - 52. Let s(b) = 72*b. Let m be s(2). What is the greatest common divisor of m and r?
12
Let s = -603 + 967. Suppose 35*f = 7*f + s. What is the greatest common divisor of f and 182?
13
Let s(z) = 2*z - 17. Let o be s(11). Suppose 11*i - 8*i - 153 = o*f, -4*i = 4*f - 172. Calculate the highest common divisor of 414 and i.
46
Suppose -3*k + 2903 = 2*v, 4*v + k - 2517 = 3254. Calculate the greatest common divisor of 2 and v.
1
Let v = -119 - -117. Let r(p) = 24*p**2 + 4*p + 10. Let t be r(v). Calculate the highest common divisor of 49 and t.
49
Let g(d) = d**3 - 3*d**2 + 2*d - 6. Let r be g(4). Suppose 280*i - 337*i = -1368. What is the highest common divisor of i and r?
6
Suppose 0 = -j + 2*s + 13, 4*j - j - s - 19 = 0. Suppose w = -z + 98, j*z - 358 - 124 = -w. Calculate the greatest common divisor of 3 and z.
3
Suppose 44*a - 45*a = 26. Let w = -13 - a. Suppose 4 = -2*h + y + w, -3*h + 9 = -3*y. What is the greatest common divisor of 90 and h?
6
Let v be (-54)/(-63) - ((-243270)/(-70))/(-9). Calculate the greatest common factor of v and 9159.
129
Let i be 1249 - 11/((-209)/(-323)). Calculate the greatest common factor of i and 140.
28
Let d be (6/(-9))/(13/(-78)) - -67. Let f(b) = b**3 - 8*b**2 - 10*b + 10. Let v be f(9). Calculate the highest common factor of v and d.
1
Suppose -5*s - j = 3 - 7, -3*s - 2*j + 8 = 0. Let a be -8*(-3)/8 - (-39 + s). What is the greatest common factor of a and 42?
42
Let q be 10/(-45) - 1412/(-36). Suppose -20 = 34*h - q*h. Suppose -h*o + 209 = w, 2*w - o + 0*o = 454. What is the highest common divisor of 25 and w?
25
Suppose 2*x - 8 = -16, -3*x = 3*n - 9387. Calculate the greatest common factor of 208 and n.
13
Let m(i) = -634*i - 372. Let d be m(-14). Calculate the greatest common factor of d and 8.
8
Let r be (693/(-35) - -3)/(2/(-5)). Let m be (72/r)/((-4)/(-42)). Suppose 0 = 5*i - y - 92, -5*y - 6 = -2*y. What is the greatest common factor of i and m?
18
Suppose -4*b = o + 9 - 4, -4*b = -o - 5. Suppose -5*n + 123 = x, 2*x + 13*n - 12*n - 264 = b. Calculate the greatest common factor of 171 and x.
19
Suppose -2*k = 2*k - 152. Let a be ((-307)/(-3377))/(1*(-1)/(-418)). Calculate the highest common factor of a and k.
38
Suppose -33333 = 7664*j - 7669*j - 3*i, 5*i - 5 = 0. What is the highest common factor of j and 22?
22
Let k = 15222 + -13267. Calculate the highest common divisor of k and 5.
5
Let i(j) = j**2 - 5*j - 2. Let d be i(5). Let l = -637 - -649. Let y = l - d. What is the highest common divisor of 112 and y?
14
Suppose 635 = 7*r - 2*r + 5*w, 0 = -5*w - 10. Let y = r - 125. Suppose -2*c - c = 3*u - 63, u - 4*c + 4 = 0. What is the highest common factor of u and y?
4
Let u(m) = -2*m**3 - 84*m**2 + 55*m + 123. Let c be u(-44). What is the greatest common divisor of 13 and c?
13
Suppose 101*r - 99234 = 27*r. What is the highest common factor of 149 and r?
149
Let i = 3537 + -3449. Calculate the highest common divisor of i and 506.
22
Suppose 91 = 19*f - 4. Suppose 0 = -f*l - 2*t + 50, -l + 36 = 5*t + 3. Calculate the highest common factor of l and 10.
2
Suppose -3*y = -18, 6*m - 10*m - 3*y + 882 = 0. What is the highest common divisor of 189 and m?
27
Let r(a) = 6098*a + 42983. Let l be r(-7). Suppose -123 = -5*p - 4*b, 2*b - 126 = -5*p - b. What is the highest common divisor of p and l?
27
Suppose -26932 = -9*q - 16564. Calculate the greatest common divisor of 90 and q.
18
Let x be 43870/110 + (-10)/(-55). What is the greatest common divisor of 119 and x?
7
Let n = 1857670 - 1857656. Suppose -g - d = -3 - 0, -5*g = -3*d + 1. Let j be 70 - g - (0 - 1). What is the greatest common divisor of n and j?
14
Suppose -5*x + 0*x - 4*i = -1996, 4*i + 1204 = 3*x. Let j(o) = 5*o**2 - 4. Let c be j(2). Calculate the highest common factor of x and c.
16
Suppose -5*k + 564 = -2721. Let f(t) = 122*t + 1351. Let j be f(-11). Calculate the highest common divisor of j and k.
9
Let r be (-1689)/(-3) - (-19 - -31). Calculate the greatest common divisor of r and 608.
19
Let p = -23 + 23. Suppose -31*o + 25*o + 192 = p. Suppose 0 = 3*t - 2*t - 80. Calculate the highest common divisor of t and o.
16
Let x(b) = -b**3 + 4*b**2 + 31*b + 11. Let t be x(8). Let s be ((-6)/12)/(t/(-60)). What is the greatest common divisor of s and 4?
2
Let z = -920 - -606. Let k = -158 - z. Let o be -1 + k/2 + 4. Calculate the greatest common factor of 9 and o.
9
Suppose -21*k + 22*k + 4*d - 459 = 0, 0 = 2*k + 2*d - 918. Calculate the highest common divisor of 531 and k.
9
Suppose t - n = 37 - 14, 0 = -4*t + 3*n + 89. Let u be 5/t*1/(2/872). Suppose 6*j - 71 = u. What is the highest common divisor of 45 and j?
15
Suppose 0 = 4*w + q + 9, 1 = 2*q + 3. Let v be (((-120)/(-21))/w)/((-80)/280). Calculate the highest common factor of v and 45.
5
Suppose 19*z + 56 - 170 = 0. Suppose -2*t + 1800 = z*t. Calculate the greatest common divisor of 50 and t.
25
Let o(u) = -30*u**3 + 6*u**2 + 2*u - 2. Let l be o(-1). Suppose -4*i - 2*t + 2180 = -3*t, -4*t - 2736 = -5*i. What is the highest common factor of l and i?
32
Suppose 1406 = -85*x - 79*x + 12886. What is the highest common factor of x and 890?
10
Let x(c) = c**2 - 861*c - 8686. Let m be x(-10). Calculate the greatest common divisor of m and 4952.
8
Let x = 171 - 168. Let n(v) = v**3 - 3*v**2 + 2*v - 5. Let z be n(x). Calculate the highest common factor of 52 and z.
1
Let p = 12 - -76. Let n(v) = 3*v - 15. Let d(t) = 10*t - 45. Let o(w) = 2*d(w) - 7*n(w). Let z be o(7). Calculate the greatest common divisor of z and p.
8
Let o = -57 - -32. Let t = o + 38. Suppose 18*g = 547 + 389. What is the greatest common factor of t and g?
13
Suppose d + 8 = -d. Let g = 7 + d. Suppose 68 = 2*v - 4*q, 10 = -0*q - 2*q. Calculate the highest common divisor of v and g.
3
Suppose 4*r + 26 = 2*s, s + 5*r = 16 + 4. Let t = -322 + 325. Suppose p = -5*f - 5, 0*p = t*p - 4*f - 80. What is the highest common factor of s and p?
5
Let g = 1292 - 6801. Let k be g/(-9) + 2/(-18). Calculate the greatest common factor of 36 and k.
36
Suppose 0 = 91*a + 78*a + 24*a - 12352. Let q be 2397/15 + (-2)/(-10). What is the greatest common divisor of a and q?
32
Let s(f) be the first derivative of -3*f**2/2 + 39*f + 57. Let o be s(0). Calculate the highest common divisor of o and 3.
3
Let s = 5417 + -5389. Calculate the greatest common factor of s and 450.
2
Suppose h - 2*k - 64 = 0, 0 = -17*h + 14*h + 2*k + 164. What is the greatest common divisor of h and 2175?
25
Suppose 3*u + 2*i - 16709 = 4*i, u - 2*i - 5559 = 0. What is the greatest common divisor of u and 223?
223
Let y = -3829 - -5189. What is the greatest common divisor of 1105 a
|
{
"pile_set_name": "DM Mathematics"
}
|
igit of x?
9
Suppose 8*x = 5*x + 30. Let v = -9 + x. What is the units digit of (2 - 1)*v - -1?
2
Suppose -2*x - 2*z = -0*x - 2452, 3*z = x - 1246. What is the tens digit of x?
3
Let x = 1 - 0. Suppose -38 = -6*v - 56. What is the units digit of (v + 2)*(-23)/x?
3
Suppose 2*u + 3*l - 2318 = 0, 4*u + 34*l = 33*l + 4636. What is the thousands digit of u?
1
Let q(v) = 4 + 5*v**3 + 6*v - 21*v**3 - 8*v**2 + 15*v**3. Let u = -3 - 6. What is the tens digit of q(u)?
3
Suppose -30*y + 84569 = -20161. What is the thousands digit of y?
3
Let x be 6/(-4) + 27/18. Suppose x = 4*h + 16. What is the units digit of ((-6)/h)/((-3)/(-54))?
7
What is the thousands digit of (1199 - 1)/(35/70)?
2
Let z = -494 - -911. What is the tens digit of z?
1
Let c(t) = 4*t**3 - 26*t**2 - 15*t - 6. What is the tens digit of c(8)?
5
Let f be (-22)/(1*(-4 - -2)). Let t = f + -22. Let x = t + 39. What is the units digit of x?
8
Let l be 6/(-14) + (-34)/(-14). Suppose -103 - 397 = l*p. What is the units digit of 16/(-10)*p/20?
0
Let u = -24 + 126. What is the units digit of u?
2
Let u(n) = -5*n + 13. Let o(y) = -y. Let c(z) = -6*o(z) + u(z). Let j be c(6). What is the tens digit of 3*(-1 + j)/3?
1
Suppose 0 = -m - 3*u + 11, 3*m + 2*u + 3 - 15 = 0. Suppose 5*j = 3*r + 84, 5*j = -m*r - 3*r + 60. What is the units digit of j?
5
Suppose -4*s - 4*s + 4696 = 0. What is the units digit of s/6 - 5/(-30)?
8
Let b(l) = -l**2 - 12*l - 18. Let d be b(-8). Let o(n) = -n**3 + 16*n**2 - 24*n - 20. What is the tens digit of o(d)?
3
Let g be 19*2*(-1 + (-7)/2). What is the tens digit of g/76*296/(-3)?
2
Suppose 4*o + 0*o + 316 = 0. Let c = o - -124. Suppose -c = -3*y + 6. What is the units digit of y?
7
Let j(f) = -11*f + 512. What is the tens digit of j(-34)?
8
Let x(u) be the first derivative of -u**2/2 + 5*u - 5. Let j be x(3). What is the units digit of (-7)/(-7) - (j + -38)?
7
Let r(x) = -x**3 - 7*x**2 + 13. What is the hundreds digit of r(-10)?
3
Let s(f) = f**3 + 7*f**2 + 4*f - 2. Let v be s(-6). Let y be 190/(-25) - 4/v. Let q = -2 - y. What is the units digit of q?
6
Let s(v) = 107*v + 125. What is the thousands digit of s(14)?
1
Suppose -400 = 5*h - 4*p - 1255, -4*h = -p - 695. What is the tens digit of h?
7
Let q = -433 + 740. Suppose -q - 333 = -4*n. Suppose 8*r = 13*r - n. What is the tens digit of r?
3
Let z be (-44)/(-20) + -3 - 18996/(-20). Suppose 0 = j - 4 + 5. What is the tens digit of (z/26)/(j/(-2))?
7
Let x(a) = -a**3 - 4*a**2 + 39*a + 8. What is the units digit of x(-12)?
2
What is the units digit of -1*(-4)/((-24)/(-66))?
1
Let r = 170 - -657. What is the hundreds digit of r?
8
What is the hundreds digit of -3 + 64/20 - 364176/(-120)?
0
Suppose -2*j - 3*r + 17 = -48, -43 = -j - 5*r. What is the units digit of j?
8
Let c = -1500 + 2386. What is the hundreds digit of c?
8
What is the hundreds digit of 12/((10/(-39))/(-5))?
2
Let c = 2679 + -1434. What is the tens digit of c?
4
Suppose 0 = 2*w - 21 + 9. What is the units digit of (w - 0)*282/18?
4
Suppose -2*y + 3745 = 5*y. What is the tens digit of y?
3
Suppose 7 = 2*l + 1. Suppose 672 = l*x + 4*c - 2*c, -4*x + 900 = 4*c. Suppose x = 5*s + s. What is the units digit of s?
7
Let o(r) = 2*r + 12. Let k be o(3). Suppose -k*l + 6*l + 2496 = 0. What is the tens digit of l?
0
Let s = -39 + -138. What is the units digit of (-8 + 6)/(6/s)?
9
Let s = 199 - -143. What is the hundreds digit of s?
3
What is the tens digit of (-86534)/147*(-2 + (-3)/(-6))?
8
Let k be 524/(3/(-6)*4). Let v = k + 387. What is the tens digit of v?
2
Let m(i) = -i**2 + 10*i - 11. Let v be m(8). Suppose 2*x - 31 = v. What is the units digit of x?
8
Let m(y) be the third derivative of y**5/60 - y**4/24 - 2*y**3 - 7*y**2. Let n be m(5). Suppose -n*v + 3*v = -170. What is the units digit of v?
4
Suppose 6*s - 104 = 4*s. Suppose -2*a = -3*w + s, -3*w - 2*a + 0*a = -68. What is the tens digit of w?
2
Let o(c) = 29*c**2 + 35*c**2 - 3*c**2 - 1. Let w be o(1). Suppose 2*v = j + 24, -4*v - v + 4*j + w = 0. What is the units digit of v?
2
Let k = 33 - 29. Suppose -k*i + 24 + 44 = 0. What is the units digit of i?
7
Suppose 50*b = 49*b + 10. Suppose b*y = -233 + 2323. What is the hundreds digit of y?
2
Let l be 2/7 + (-288)/126. What is the tens digit of 19 - ((l - 2) + 8)?
1
Let y(i) = i**3 + 10*i**2 - 13*i - 15. Suppose s + 3*s = -4*w + 176, 132 = 3*s - 4*w. Suppose g - s = 5*g. What is the units digit of y(g)?
7
Let y(k) = k**3 + 34*k**2 + 115*k - 2. What is the thousands digit of y(-25)?
2
Let n(u) = -4*u - u**3 - 4*u + 17 - 10 - 3*u - 11*u**2. What is the units digit of n(-10)?
7
Suppose 0 = 4*o - o. Suppose o - 4 = -d. What is the units digit of 163/7 - d/14?
3
Let p = 20 + 175. What is the hundreds digit of p?
1
Suppose -3*a + 456 = -9*j + 10*j, -5*a = -15. What is the units digit of j?
7
Let o be (-2)/(-10) - -3*(-801)/15. Let l = o - -354. What is the units digit of l?
4
Let w be (-2)/(-8) + 19/4. Suppose -v + 21 = 6*v. Suppose -v*t - 6 + 161 = 4*h, t = w*h - 189. What is the units digit of h?
8
Let u = -48 + 34. Suppose 3*x - w = 1, 4*w + 18 = 4*x + 6*w. What is the tens digit of u/((-2)/(x + 0))?
1
Let k = 1408 - 944. Suppose -2*l - k = -4*l. Suppose 0 = -5*r + l + 13. What is the units digit of r?
9
Let w(t) = -t**3 + 17*t**2 + 15*t - 22. What is the tens digit of w(17)?
3
Let v = 151 + 801. What is the units digit of v?
2
Suppose -4*a = 0, 8*s = 12*s - 3*a - 808. What is the tens digit of s?
0
Suppose 10*m - 18378 = 4912. What is the thousands digit of m?
2
Let h(p) = 1 + 5 - 34*p**2 + 37*p**2 + p. What is the tens digit of h(-3)?
3
Suppose -3*i + 16*i = 7332. What is the hundreds digit of i?
5
Let j(y) = y**3 + 9*y**2 + 7*y + 9. Suppose 0 = -4*d + r + 12, 0 = -2*d - 2*d - 4*r - 8. Suppose d*c = -4, -c - 23 = 3*m - 0. What is the units digit of j(m)?
8
Let q(z) be the second derivative of -z**5/20 + z**4/2 - 5*z**3/6 + 3*z**2/2 - 6*z. Let d be q(5). Suppose 0 = -m - d*m + 48. What is the tens digit of m?
1
Let h = 29 + -12. Let m = h - -4. Let z = m - 1. What is the tens digit of z?
2
Suppose 2*u + o = 1092, 95 + 462 = u - 5*o. What is the hundreds digit of u?
5
Let s be (0 - 1) + (-1 - 13). Suppose 0 = 3*c - h - 57, c + 6 = 2*c + 4*h. Let x = s + c. What is the units digit of x?
3
Let d(g) = -49*g**3 + 1. Let q be (-1 + -13)/((-6)/(-3)). Let i = q - -6. What is the units digit of d(i)?
0
Suppose 5 = 5*v, -2*v - 343 = b - 4*b. Suppose b = -4*s + 547. What is the tens digit of s?
0
Let s(f) be the second derivative of f**7/1260 - f**6/360 - f**4/3 - 6*f. Let o(g) be the third derivative of s(g). What is the tens digit of o(3)?
1
Suppose 0 = 4*x + 3*v + 15, -2*x - 10 = 2*v - 0. Suppose x = 3*h + h. Suppose f - t - 36 = h, 0 = 4*f - f - 4*t - 108. What is the units digit of f?
6
Let i(g) = -g - 15. Let t be i(-18). Suppose -o - t = -32. What is the tens digit of o?
2
Suppose -4*b = 6*l - 2*l - 1068, -4*l + 3*b = -1033. What is the tens digit of l?
6
Suppose -475 = -16*c + 11*c. Suppose -5*l - 2*r + c = 3*r, 14 = l + 2*r. What is the units digit of l?
4
Let p = -437 + 514. What is the tens digit of p?
7
Let j = -302 + 921. What is the tens digit of j?
1
Let u(z) be the first derivative of z**6/360 + z**5/120 - z**4/4 - 4*z**3 + 5. Let w(t) be the third derivative of u(t). What is the units digit of w(-4)?
6
Let q = 29 - 24. Suppose 2*p + 8 = 0, 2*n + q*p - 241 = -n. What is the tens digit of n?
8
Let s(g) = 1029*g**2 + g - 8. What is the units digit of s(-2)?
6
Suppose 0 = -4*z + 5*w + 26, -4*z - 6*w + w = -6. Let q(d) = d**2 - 2*d + 3. What is the tens digit of q(z)?
1
What is the hundreds digit of (0 - 0) + -22 + 2021?
9
Let l = 574 + 7. Suppose 3*f = -4*r - 75 + 531, -f = 5*r - l. What is the tens digit of r?
1
Suppose 2*c + 3*c = -4*l + 16, -16 = -4*l + c. Suppose 0 = 2*z - 4*d + 30, -l*d - d + 95 = -5*z. Let k = -12 - z. What is the units digit of k?
1
Let g be (4/(-12))/(2/(-18)). Suppose c - 224 = 2*l + 3*c, -g*l - 4*c = 334. What is the tens digit of 7/35 - l/5?
2
Let n(r) = r**3 - 34*r**2 + r + 126. What is the units digit of n(34)?
0
Suppose -3*d = 15, 3*o + d = 2*d + 1601. What is the tens digit of o?
3
Suppose 0 + 12 = -3*x. What is the units digit of -2 + (-3 - (x - 5))?
4
Suppose y + 3*s - 93 = 0, 0*y + y - 4*s = 72. Suppose r = y - 19. What i
|
{
"pile_set_name": "DM Mathematics"
}
|
composite?
False
Let d(o) = -14*o**2 - 5*o + 22. Let x(b) = 29*b**2 + 10*b - 43. Let i(h) = -13*d(h) - 6*x(h). Is i(-13) composite?
False
Suppose -5 = -j, 2*h = h + 5*j + 164. Suppose 18 = 4*i - 2*b, i - 4*i - 5*b = 19. Suppose i*g - h = -23. Is g prime?
True
Suppose -16*w = -17*w, a - 2833 = -2*w. Is a a prime number?
True
Suppose 12*y - 12 = 6*y. Is 2710/(-15)*(-3)/y a prime number?
True
Let c(t) = 2*t**3 - 3*t**2 + 2*t - 3. Suppose 2 - 6 = -2*r. Let u be c(r). Suppose 0 = u*s - 5*a - 1080, 0 = 4*s + 2*a + a - 857. Is s a composite number?
True
Let j(l) = 15*l**2 + 40*l - 30. Let f(p) = -p**3 - 3*p**2 + 4*p - 11. Let i be f(-5). Is j(i) composite?
True
Suppose 381*d - 265542 = 375*d. Is d composite?
False
Suppose 0*l = -5*s - 5*l + 975, 0 = -4*l - 20. Suppose -5*r + f + 370 = -3*f, 3*r + 2*f - s = 0. Suppose 105 = k + 2*k + w, 2*k - r = -4*w. Is k a prime number?
False
Let y = 8 + -9. Let n be (36/24)/(y/(-102)). Suppose -n = -3*t + 2*g, -5*g = 5*t - 76 - 179. Is t a prime number?
False
Let d(u) = 8*u**3 - 3*u**2 - u - 3. Let x be d(3). Suppose 0 = 3*l + x - 30. Let w = -36 - l. Is w a composite number?
True
Suppose 2*o + 3*o = 5*y - 23655, -3*o = 12. Is y prime?
False
Let u(d) = 14*d**2 + 9*d + 2. Is u(-11) a composite number?
False
Let a(l) = -5*l + 1. Let w be a(1). Let c(q) = 3*q + 2. Let o be c(w). Is (24/o)/((-4)/10) a prime number?
False
Let d(s) be the second derivative of 29*s**3/3 + 3*s**2/2 - 15*s. Is d(7) a composite number?
False
Let n(u) = 10*u**3 + 3*u**2 - 5*u + 4. Let d be n(2). Suppose -188 = -2*o - 4*a + d, -16 = 4*a. Is o a composite number?
True
Suppose -f + 0*f + 2*r = -3017, 2*f - 2*r = 6028. Is f prime?
True
Let v be 18/45 - 5052/5. Let z = -511 - v. Is z a composite number?
False
Suppose 11278 = 2*v - 0*g + 4*g, -5*v = 4*g - 28195. Is v a composite number?
False
Let k(m) = 74*m**2 + 7*m + 14. Is k(9) composite?
True
Let j = -21 - -4. Let i = 9 + j. Let u(x) = -x**3 - 3*x**2 + 11. Is u(i) a prime number?
True
Let b(o) = -o**2 + 3*o + 7. Let d(m) be the first derivative of -2*m**3/3 + 3*m**2/2 + 7*m - 5. Let h(f) = 5*b(f) - 4*d(f). Is h(-5) a prime number?
True
Let t(f) = 186*f**2 - 18*f - 41. Is t(-7) composite?
False
Suppose 4*n + 72527 = 3*g - 11610, -2*n = g - 28059. Is g a prime number?
True
Let k(h) = h**3 + 6*h**2 + 4*h - 7. Suppose 0 = -3*q - 2*f + 14, q = -q - f + 10. Is k(q) a composite number?
False
Suppose -2*v = 2*f - 8, 0 = f - 2*f + 2. Suppose 261 = b - v*o - 154, o = -2*b + 815. Is b prime?
True
Let g(b) = 16590*b**2 + 7*b + 6. Is g(-1) a composite number?
True
Let o = 14191 - 3462. Is o a prime number?
True
Let o be 28/21 + (-4)/(-6). Suppose -4920 = -5*i - 5*p, i - o*i - 4*p = -987. Is i a prime number?
True
Suppose -5*h + 9*h - 3*a - 3359 = 0, 4213 = 5*h + a. Let k = -435 + h. Is k composite?
True
Let i = 5769 + 232. Is i a prime number?
False
Let w = 37589 + -24742. Is w prime?
False
Let v = 36162 + -23682. Let s = v + -8539. Is s a composite number?
True
Let p = 87841 - -8820. Is p prime?
True
Let q = 17 - 38. Is (-6495)/q - (-2)/(-7) composite?
True
Suppose 4*l + 8 = -8. Let u be 42/(-4) + (-2)/l. Let s(i) = -i**3 - 5*i**2 + 14*i + 13. Is s(u) a composite number?
False
Suppose 59452 + 47967 = 13*i. Is i composite?
False
Let a be 4/6 - (-1352)/6. Suppose -4*b = 7*b + 1584. Let v = b + a. Is v prime?
False
Suppose 58936 = 19*n - 11*n. Is n prime?
False
Let g(y) be the first derivative of -28*y**2 + 21*y + 20. Is g(-13) prime?
False
Suppose -2*t + 3*t = -13. Let y(d) = 2*d**3 + 2 + 15*d**2 + 9*d - 11 - d**3 + 5. Is y(t) a prime number?
False
Let o = 14 - 11. Suppose -5*y + 63 = 2*u + 365, -y - 453 = o*u. Let p = u - -236. Is p composite?
True
Let i(w) be the first derivative of -3*w**4/2 - 4*w**3/3 + 4*w**2 - w - 6. Is i(-4) composite?
True
Is 6483/((-23)/(-5) + -4) composite?
True
Let n = -3930 - -7721. Is n a composite number?
True
Let u be 3*((-6)/(-2) + -1). Is (u/3 + -253)/(-1) composite?
False
Let v = -30 + 42. Let f be (-80731)/(-114) - 2/v. Suppose 3*m - f = -m. Is m prime?
False
Suppose 14346 = 4*w + 30*a - 28*a, -w + 4*a = -3609. Is w a composite number?
True
Let z be (-9)/2 + (-5)/10. Let b be (3 + z + 2)/(-1). Suppose -5*a - d + 13 = 0, 3*a + d + b = 7. Is a a prime number?
True
Let k be -541*(-2 - 9/(-3)). Let v = k + 1986. Suppose -v = -2*y - 3*y. Is y composite?
True
Let z(k) = -9 - 4 - 9 - 235*k + 11. Is z(-6) a prime number?
True
Let a(y) = 73*y**2 + 36*y + 211. Is a(-16) prime?
False
Suppose 0 = 27*w - 22852 - 59255. Is w a prime number?
True
Is 6997*(0 + (5 - 4)) composite?
False
Let j(d) = -131*d - 80. Is j(-21) composite?
False
Let q(h) = -382*h + 25. Is q(-6) a composite number?
True
Suppose -g - 244 = -723. Suppose -3*q = -2*q - g. Is q composite?
False
Suppose 476 = 6*l - 1006. Suppose j + 4*h = 2*j - l, 467 = 2*j + h. Is j prime?
False
Let l = -8 - -12. Suppose 0 = l*m + t - 17 + 3, 0 = -2*m + 2*t + 2. Is (-62)/m*(-3)/2 composite?
False
Let v(o) = -3040*o - 3. Let m = 91 + -92. Is v(m) prime?
True
Suppose 367919 + 352951 = 30*u. Is u a prime number?
True
Let x be 34/9 + 10/45. Suppose -x*i - i = -5. Is ((-139)/5)/(i/(-5)) prime?
True
Suppose 65*z - 6155 = 64*z. Is z a composite number?
True
Is 100058 + -6*3/2 a prime number?
True
Let l be (2 + 1)*-1*10/(-15). Suppose p - 3*d = 365 + 249, 4*d = -l*p + 1228. Is p a composite number?
True
Let v = 5615 + -3504. Is v composite?
False
Let p(i) = 3*i - 9. Let j be p(4). Suppose s = -3*m + 1820, -1825 = -j*m + s - 3*s. Suppose -4*w + m = w. Is w composite?
True
Let f be (3/2 - 1)*4. Suppose q = -2*n + 5*q + 2136, -f*q - 8 = 0. Suppose -a + n = 3*a. Is a composite?
True
Let f(d) = 69*d**3 + 6*d**2 + 41*d - 389. Is f(9) prime?
True
Let s = 81645 + -53352. Is s prime?
False
Suppose -2*u + 3*o + 8 = 0, -12 = -3*u + 4*o - o. Suppose 0 = -u*x + i + 122, -2*x = -3*x - 5*i + 20. Suppose 7 = l - x. Is l composite?
False
Let w = 37 - 36. Let k(j) = 2042*j + 3. Is k(w) composite?
True
Is ((-217004)/14)/((-110)/385) prime?
True
Let x = -10 + 12. Suppose 3*k + 22 = -b, -4*k - 3*b = -x*b + 28. Let y(m) = -m**3 - 3*m**2 + 2*m - 11. Is y(k) composite?
True
Suppose 2*n + 276 - 61 = 5*d, 5*d + 4*n - 185 = 0. Suppose -4*q + 3 = -d. Is q prime?
True
Suppose 0 = -4*c - y + 56407, 17199 - 45395 = -2*c + 2*y. Is c a prime number?
False
Let g be (-2 + 6 - (-4 + 3)) + -2. Suppose -4*q = g*i - 4776 - 753, 4*i = -q + 7372. Is i a prime number?
False
Suppose 52*s = 2*s - 4*s. Let k = 6 - 0. Suppose s = -k*n + 3*n + 4197. Is n a prime number?
True
Let n = -4567 - -2027. Is (-22)/8*1*n/5 a prime number?
False
Suppose -1171 = 8*u + 53. Let c = 58 - u. Is c a prime number?
True
Suppose -23*v + 21352 = -15*v. Is v a composite number?
True
Let r(k) = -k - 37*k - 49*k - 3. Let g be r(8). Let m = 1184 + g. Is m a prime number?
False
Suppose 0*v = -2*v + 2006. Is v a composite number?
True
Is (-27)/(-189) - 32*4987/(-14) prime?
True
Suppose 10 = -2*v + 32. Suppose -3*a + y + v = -0*a, 4*a - 18 = -2*y. Is 634 - (13 + -1)/a composite?
False
Let o(n) = -23*n - 34. Let i(s) = 70*s + 101. Let c(l) = 6*i(l) + 17*o(l). Is c(17) prime?
True
Let c = 13994 + -2223. Is c a prime number?
False
Let z(w) = w + 33. Let v be z(0). Let f = v + -20. Let j = f + 40. Is j a prime number?
True
Let j be 1 + -5 + (15925/(-7))/(-1). Is 1/2 - j/(-12)*2 prime?
True
Let f(w) = 55*w**2 - 66*w - 114. Is f(-25) prime?
True
Suppose -r + 5 = -4*m, 3*r + 2*m = 1 + 28. Suppose -4*o - 1555 = -r*o. Is o prime?
True
Let b = -6721 + 9494. Is b prime?
False
Suppose -3*v = -5*s - 7*v + 60673, 15 = -5*v. Is s prime?
False
Let c(s) be the first derivative of 2*s**3 + 2*s**2 + 11*s - 2. Is c(6) a composite number?
False
Suppose 17328 = 25*z - 859097. Is z a composite number?
True
Suppose 2*n + 5*j - 9146 = 0, -4*n + 3*j - 4*j = -18328. Is n composite?
False
Suppose -108 = 8*z + 4*z. Is ((-9258)/z)/((-44)/(-12) + -3) composite?
False
Let b(u) = 5*u**3 - 22*u**2 + 9*u - 10. Let i be b(12). Suppose -3*m = -8*m + i. Is m a prime number?
False
Suppose k - 11540 = 30929. Is k composite?
True
Is 128 - 10 - (-1 + -3) a prime number?
False
Let i(r) = 139*r**2 - 54*r - 20. Is i(9) a composite number?
False
Suppose 6 = 4*m - 2*m. Suppose -4*a + 3047 = -m*v, -2280 = -3*a - v - 2*v. Suppose -314 = -5*p + a. Is p compos
|
{
"pile_set_name": "DM Mathematics"
}
|
2*l
Let c(s) = -4*s - 2. Let v(t) = 5*t + 2. Suppose -n + 5*n + 14 = -2*j, 3*n = 0. Calculate j*c(k) - 6*v(k).
-2*k + 2
Let g(t) = -5*t**3 + 2*t - 2. Suppose 24 = -36*a + 48*a. Let w(h) = -15*h**3 + 7*h - 7. Give a*w(s) - 7*g(s).
5*s**3
Let i(c) = -15*c + 7*c**2 + 5*c + 8*c + 1. Let b(a) = -a**2 + a. Calculate 5*b(s) + i(s).
2*s**2 + 3*s + 1
Let w(j) = -18*j**2 - 2*j + 3. Let v(p) = 33*p**2 + 4*p - 6. Determine -3*v(l) - 5*w(l).
-9*l**2 - 2*l + 3
Let g(k) = 2*k - 11. Let a(f) be the first derivative of -4 + 5*f - 1/2*f**2. What is 9*a(s) + 4*g(s)?
-s + 1
Let v(w) = w - 56. Let r(m) = 1. Calculate 2*r(z) + 2*v(z).
2*z - 110
Let f(g) = -40*g**3 + 50*g - 50. Let k(z) = 0*z**3 + z - 771 + 770 - z**3. What is -f(q) + 50*k(q)?
-10*q**3
Let x(s) be the third derivative of -s**5/15 + 130*s**2. Let i(v) = 17*v**2. Calculate -2*i(f) - 9*x(f).
2*f**2
Let m(d) = 21*d - 4. Let z(l) = l. Determine -m(k) + 2*z(k).
-19*k + 4
Let u(v) = -1. Let o = -248 + 249. Let a(r) = -r**2 - 6. Determine o*a(h) - 6*u(h).
-h**2
Let s(z) = 2*z**2 - 4*z. Let o(p) = 5*p**2 - 9*p + 2. Let n(f) = -1. Let y(l) = -6*n(l) - 3*o(l). Give 27*s(m) + 4*y(m).
-6*m**2
Let b be 0 + 0 + 10/2. Let m be 3/(408/64 + -6). Let k(v) = -4*v - 3. Let a(h) = 6*h + 5. Calculate b*a(f) + m*k(f).
-2*f + 1
Let m(j) = -42*j + 7. Let d(i) = 83*i - 13. Determine -6*d(v) - 11*m(v).
-36*v + 1
Let a(z) = 5*z**2 - 2. Let f(c) = 476 - 955 + 3*c**2 + 6*c**2 + 476. Suppose -4*l + 17 = s, -7 = s - 3*l - l. Give s*a(d) - 3*f(d).
-2*d**2 - 1
Let s(p) = -p**2 - p - 7. Let d(f) = -6*f**2 - 4*f + 7. Let j(k) = d(k) + s(k). Let w(l) = 7*l**2 + 4*l. Determine -4*j(o) - 5*w(o).
-7*o**2
Let c(l) = 6*l + 2. Let t(f) = 6*f + 2. Let k(i) = -6*c(i) + 7*t(i). Let w(d) = -7*d - 2. Give -4*k(p) - 3*w(p).
-3*p - 2
Let v(y) = y + 2. Let b(w) = 7*w + 247. Calculate -b(c) + 4*v(c).
-3*c - 239
Let c(n) = -n**2. Let w(s) = s**3 - 6*s**2 - 28*s. Give 6*c(p) - w(p).
-p**3 + 28*p
Let v(i) = 3*i**2 - 53*i + 35. Let p be v(17). Let g(r) = r + 1. Let l(b) = 3*b + 6. Suppose 4*t = t + 12, 5*z + 2*t + 22 = 0. What is p*l(y) + z*g(y)?
-3*y
Let n(y) = 422*y. Let g(d) = -d. Determine -5*g(u) - n(u).
-417*u
Suppose -126 = -37*y + 19*y. Let m(i) = -i**2 + 7*i - 7. Let o(n) be the second derivative of -n**3/3 + n**2 - n. What is y*o(v) + 2*m(v)?
-2*v**2
Let l(c) be the first derivative of -3*c**2 - 54*c + 42. Let j(b) = 2. Give 54*j(y) + 2*l(y).
-12*y
Let s(t) = -3*t. Let w(p) = 10*p - 1. Determine -2*s(n) + w(n).
16*n - 1
Let n(s) = 3*s - 4. Let v(b) = -8*b + 12. Suppose 12 + 0 = -4*c, -4*r = c - 41. Determine r*n(q) + 4*v(q).
q + 4
Let f(c) = -16*c**3 + 3*c + 3. Let x(b) = 51*b**3 - 12*b**2 - 7*b - 13. Let p(o) = -3*o**3 + 2*o**2 + 1. Let v(q) = 6*p(q) + x(q). What is -7*f(d) - 3*v(d)?
13*d**3
Let p(z) = z. Let i(c) be the second derivative of -5*c**3/6 - c**2/2 - 2*c - 44. Determine -i(a) - 3*p(a).
2*a + 1
Let k(h) = -223*h**2 + 12. Let y(a) = 334*a**2 - 19. Determine 8*k(l) + 5*y(l).
-114*l**2 + 1
Let o(b) = -b**3 - 3*b**2 - 4*b - 3. Let x(g) = -14*g**2 - g - 25. Let t(v) = -5*v**2 - 9. Let f(a) = 8*t(a) - 3*x(a). Determine -3*f(w) - 2*o(w).
2*w**3 - w - 3
Let q(l) = -16 - 15 - 19 - 4*l + 44. Let i(x) = -3*x - 6. Determine -5*i(u) + 4*q(u).
-u + 6
Let v(g) be the first derivative of -2*g**3/3 - g**2/2 + 3*g - 16. Let q be (-6)/4 + 7/(-2). Let a(w) = 3*w**2 + 2*w - 5. Give q*v(k) - 3*a(k).
k**2 - k
Let x(o) = 9*o**3 - 5*o**2 + 2*o**2 - 8*o**3 + 4*o**2 - o. Let n(r) = r**3 + 2*r**2 - 2*r. What is n(s) - 2*x(s)?
-s**3
Let s(b) = -2*b**2 - 4*b. Let y(r) = 2*r - 2. Let g be y(3). Let k(f) be the third derivative of f**5/60 + f**4/8 + 45*f**2. Calculate g*k(o) + 3*s(o).
-2*o**2
Let a(f) = f + 1. Suppose -791 = -2*d + 5*c, 0*c - 3*c + 412 = d. Let u(b) = d*b - 406*b + 1 - 3. Determine -4*a(i) - u(i).
-i - 2
Let a(q) = 320*q**3 + 5*q**2 - 5*q - 7. Let u(f) = -160*f**3 - 3*f**2 + 3*f + 4. Give -3*a(i) - 5*u(i).
-160*i**3 + 1
Let u(a) = -16*a**3 + 3*a**2 - 3*a - 3. Let y(i) = 481*i**3 - 91*i**2 + 91*i + 91. Suppose 0 = 5*k + 5*v - 82 + 42, -3*k + 29 = 4*v. What is k*y(r) + 91*u(r)?
-13*r**3
Let q(r) = r**2 - 11*r + 5. Let o be q(10). Let j(m) = m**3 + 4*m + 4. Let z be (-25)/(-10) + 3/(-6). Let s(l) = 1 - 2 + 1 - 2 - z*l. Give o*s(k) - 2*j(k).
-2*k**3 + 2*k + 2
Let c(t) = -22*t**2 + t - 3. Let v(f) = -64*f**2 + 2*f - 8. Determine -17*c(i) + 6*v(i).
-10*i**2 - 5*i + 3
Suppose 2*u + r = -2*r + 22, -5*r = 2*u - 30. Let d(o) = 7*o - 3. Let a(c) = -20*c + 8. Give u*a(g) + 14*d(g).
-2*g - 2
Let p(b) = -b**2 - 5*b + 2. Let j be p(-5). Let d(s) = s + 10. Let l(c) = 1 - 1 - 2 + 5. Let z = -109 + 102. Calculate j*d(u) + z*l(u).
2*u - 1
Let v be (3/(-9))/((-3)/9). Let b(j) = -2*j - 4*j + 0*j. Let d(i) = i. What is v*b(c) + 4*d(c)?
-2*c
Let o(k) = -k - 1. Suppose -19*l - 16 - 3 = 0. Suppose 3*d + v = 27, -2*v + v = d - 7. Let u be 1 + d*(-2)/(-4). Let b(p) = -5*p - 5. What is l*b(q) + u*o(q)?
-q - 1
Let y(g) = -g + 2. Let j(l) = l**3 - 2*l + 5. Suppose -u + 19 = 15. Give u*j(c) - 10*y(c).
4*c**3 + 2*c
Let u(g) = 34*g**3 + 51*g**2 + 34*g - 11. Let h(s) = 7*s**3 + 9*s**2 + 7*s - 2. Calculate -11*h(b) + 2*u(b).
-9*b**3 + 3*b**2 - 9*b
Suppose 3*q = 7*q + 4*r, 0 = q - 4*r. Let k(y) = -y - y - 4 + q*y. Let v(t) = -1. Let l(f) = -f + 4. Let u(m) = 2*l(m) + 11*v(m). Give -5*k(p) + 6*u(p).
-2*p + 2
Let i be (-3 - (-14)/10)*5. Let m(o) = -2*o - 2. Let r(s) be the third derivative of 0 - 1/24*s**4 + 8*s**2 + 0*s - 1/6*s**3. Calculate i*r(c) + 5*m(c).
-2*c - 2
Let a(j) = j**3 + j**2 + j + 1. Suppose 20*r = 23*r + 3. Let u(n) = 4*n**3 + 5*n**2 + 5*n + 5. Give r*u(g) + 5*a(g).
g**3
Let f(z) = -1367*z + 6. Let q be f(0). Suppose 2*y - 30 = -3*y. Let c(p) = -3 - 2*p**2 - 4 + 0*p**2 - y*p. Let s(k) = 2*k**2 + 7*k + 8. What is q*s(w) + 7*c(w)?
-2*w**2 - 1
Let n(v) = 8*v - 5. Let z(s) = -s - 1. Calculate -n(m) + z(m).
-9*m + 4
Let z(u) = 8*u**2 - 6*u. Let a = -1332 - -1331. Let s(b) = -b. What is a*z(k) + 6*s(k)?
-8*k**2
Let q(m) = 396*m - 28. Let z(w) = 57*w - 4. Give 3*q(a) - 20*z(a).
48*a - 4
Let v(r) = 189*r**2 - 9*r + 16. Let n(x) = 283*x**2 - 13*x + 23. Give 5*n(b) - 7*v(b).
92*b**2 - 2*b + 3
Let v(r) be the third derivative of 5*r**4/8 - r**3/6 - 541*r**2 - r. Let j(a) = a. What is 6*j(m) - v(m)?
-9*m + 1
Let b(t) = 19*t - 2. Suppose -f = d - 172, 84 - 85 = -f. Let a(g) = 1615*g - 171. What is d*b(k) - 2*a(k)?
19*k
Let t(d) = -14*d**2 - 121*d - 17. Let l(h) = -5*h**2 - 40*h - 6. Determine -17*l(z) + 6*t(z).
z**2 - 46*z
Let z(r) = -9*r + 2. Let n(p) = -2*p + 1. Give 4*n(a) - z(a).
a + 2
Suppose -2*k = -6*k + 8. Let m(c) = 11 + 4*c + k*c - 14 + 9. Let n(i) = 5*i + 5. Let z(h) = h**3 + 5*h**2 + 6*h + 5. Let x be z(-4). What is x*m(a) + 4*n(a)?
2*a + 2
Let y(j) = -29*j - 2. Let l(p) = p - 1. Determine 4*l(v) - y(v).
33*v - 2
Let i(p) be the second derivative of 5*p**4/12 + 4*p**3/3 + 3*p**2/2 - p - 70. Let w(h) = -14*h**2 - 23*h - 8. Give -11*i(t) - 4*w(t).
t**2 + 4*t - 1
Let u(i) = -5*i - 4. Suppose -5*r = -5*k - 1165, 4*k = 3*r - 410 - 523. Let w be 0 + 2/4 - k/(-52). Let y(v) = 10*v + 7. Determine w*y(p) - 7*u(p).
-5*p
Suppose d - 102 = -0*d. Suppose -7*v = -v + d. Let c(p) = 11*p**3 - 17*p**2 - 11*p. Let g(j) = 4*j**3 - 6*j**2 - 4*j. Determine v*g(n) + 6*c(n).
-2*n**3 + 2*n
Let s(z) = 14*z + 7. Suppose 5*t + 0*x - 5 = -x, 4*x + 22 = t. Let y(i) = 5*i + 2. Calculate t*s(g) - 7*y(g).
-7*g
Suppose 3*u - 13 = 8. Suppose 0 = -u*v + 12 + 16. Let z(i) = 3*i. Let p(y) = -3*y. Calculate v*p(g) + 3*z(g).
-3*g
Let k(d) = 7*d**3 - 6*d**2 + d. Let c(m) = 6*m**3 - 5*m**2 + 2. What is -4*c(u) + 3*k(u)?
-3*u**3 + 2*u**2 + 3*u - 8
Let q(c) = -5*c**3 + 2*c**2 + 6*c + 4. Let i(m) = 11*m**3 - 5*m**2 - 13*m - 9. Let g be (-3)/(11/(-396)*-12). What is g*q(a) - 4*i(a)?
a**3 + 2*a**2 - 2*a
Let b(u) be the second derivative of 7*u**3/6 - 2*u**2 + u. Let c(w) = -w + 1. Let i(q) = q - 1. Let h(o) = c(o) + 2*i(o). Determine -b(l) + 4*h(l).
-3*l
Let c(q) = 13*q + 38. Let o(w) = 4*w + 1. Calculate -2*c(i) + 6*o(i).
-2*i - 70
Suppose 0 = 5*q + 5*g - 10, -3*q + 4*q + 4*g - 17 = 0. Let b(i) = -5*i + 7*i + 6 - 5 - 2. Let w(l) = 4*l - 2. Determine q*w(n) + 5*b(n).
-2*n + 1
Let c(p) = 1. Let s(g) = 19*g - 9. Calculate 6*c(x) + s(x).
19*x - 3
Let n(t) = 6*t**3 + 5*t**2 + t + 10. Let p(o) = 12*o**3 + 10*o**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
f x(f)?
7
Let w(f) = 7*f + f - 3 - 6*f. What is the units digit of w(3)?
3
Let a = 0 + 0. What is the units digit of (3 - -9)*(2 + a)?
4
Suppose -h = -5*p - 20, 3*p - 1 + 5 = -h. Let i be 4*(h/2)/(-5). What is the units digit of (-6)/(i - (-12)/9)?
9
Let m(c) = c**3 - 5*c**2 - 3. Let v be m(5). What is the units digit of v + 3 + -3 - -22?
9
Let c = 74 + -33. What is the units digit of c?
1
Let x(y) = -y**3 + 10*y**2 - 9*y + 5. Let p be x(9). Let h = p + -3. Suppose 2*i = -2, 0*d = h*d + 2*i. What is the units digit of d?
1
Suppose 42 + 10 = 4*r. Let a be ((-18)/4*2)/(-1). Let w = r - a. What is the units digit of w?
4
Let z = -12 - -8. What is the tens digit of z*1*119/(-28)?
1
Suppose b - 58 - 29 = -2*w, 2*w + 5*b = 91. Suppose 2*d + 8 - 20 = -4*t, 0 = 5*d - 3*t - w. What is the units digit of d?
8
Suppose 2*v + 0*v + 5*b - 1 = 0, 0 = v + 4*b + 1. Let s(y) = y**2 - 3*y + 2. Let k be s(2). Suppose -v*j + 6 = -k*j. What is the units digit of j?
2
Let c(k) = -4*k**3 - 23*k**2 - 12*k + 10. What is the units digit of c(-7)?
9
Let i(q) = -3*q - 10. Let n be i(-7). Let a be (-5 + 1)*(-10)/8. Let l = a + n. What is the tens digit of l?
1
Let a = -1 + 10. What is the units digit of a?
9
Let w be (-4)/(-10) + 36/10. Let h = w + -2. Suppose 0 = -h*d - 2*d + 32. What is the units digit of d?
8
Let d(u) = -u**3 + 13*u**2 + 2*u + 12. What is the tens digit of d(13)?
3
Let y(x) = -x + 4*x**3 - 17 - 3*x**3 - x**2 + 31. What is the units digit of y(0)?
4
Suppose -7*k - 2 = -3*s - 2*k, -2*s - 5*k + 18 = 0. Suppose -85 - 19 = -s*o. What is the units digit of o?
6
Let f(g) be the second derivative of g**4/6 + g**3/2 - 3*g**2/2 + 2*g. What is the tens digit of f(2)?
1
Suppose 0*v - 36 = -9*v. Suppose 0*n + 6 = 3*n. What is the units digit of 124/8 + n/v?
6
Let a be (18/15)/(4/10). Let u(h) = -a - h + 2 + 2. What is the units digit of u(-7)?
8
Let p be -11 + 3 + (-1 - -1). Let a = -5 - p. Suppose 0 = -a*m + m + 2. What is the units digit of m?
1
Let w be 2 + (1 - 2 - -2). Suppose 2*c - w*c = -4*i - 16, -5*c + 143 = i. What is the units digit of c?
8
Suppose 4 - 2 = u. What is the units digit of u?
2
What is the units digit of (-326)/4*(-30 - -28)?
3
Let q(h) = h - 3. Let f be q(4). Let s(b) = -7*b**2 + 6*b + 4. Let c(w) = w**2 + w + 1. Let p(r) = 5*c(r) - s(r). What is the units digit of p(f)?
2
Suppose -2*f + 233 = -47. What is the tens digit of f?
4
Suppose -62 - 19 = -3*s. What is the tens digit of s?
2
Suppose -z - 3*f - 7 = 0, 6*f = -4*z + 4*f + 22. Suppose -3*k + 13 = 4*h, 0 = -z*h + 3*h - 5*k + 20. What is the units digit of h?
1
Let w(u) = u**2 + 3*u - 3. Let y be w(-5). Suppose 5*r - 38 = y. What is the units digit of r?
9
What is the units digit of 3*12*30/27?
0
Let s be -18*((-27)/6 + 1). Let k = s + -43. What is the units digit of k?
0
Let z(g) = -g + 3 - 3 + 14 - 2. What is the tens digit of z(-10)?
2
Let m(v) = -v**3 - 8*v**2 + 2*v + 6. Let g be m(-8). What is the units digit of (0 + 5)*(-16)/g?
8
Let n = -8 - -13. Let y be (-2)/7 + 576/56. Suppose w + y = 3*w + s, n*w - s - 11 = 0. What is the units digit of w?
3
Let v = -20 - -23. What is the units digit of ((-8)/v)/(6/(-9))?
4
Let z(g) = -g + 12. Let a be z(9). Let s = a - -18. What is the units digit of s?
1
Let n = -8 + 5. Let b = -29 - -27. Let s = b - n. What is the units digit of s?
1
Let u be (2 - -10)*(-2)/3. Let c = -1 - u. What is the units digit of c?
7
Suppose -5*v + 640 = -3*y, -4*y + 24 = -v + 169. Suppose 3*w - 52 = -n + 23, v = 5*w + n. Let s = w + -5. What is the units digit of s?
0
Let v = 3 + 120. What is the units digit of v?
3
Suppose 6 = 3*d - 0*d. Let a(g) = 3*g - d - 12 + 2*g + 5. What is the tens digit of a(6)?
2
Let m(p) = 3*p - 2. Let y(l) = l**2 + 14*l - 10. Let b(s) = -11*m(s) + 2*y(s). What is the units digit of b(3)?
5
Suppose 4*m - 99 = 3*s, 2*m - s - 25 = m. Suppose 2*o = p - m, -11 - 5 = 2*o + p. Let j = o - -19. What is the units digit of j?
9
Let l = -9 - -1. Let u be l/3*(-15)/4. Let w = u + -6. What is the units digit of w?
4
Suppose 0 = -30*m + 35*m - 470. What is the tens digit of m?
9
Let z = -18 - -49. What is the tens digit of z?
3
Suppose 4 = n - 3*n. Let u be -1*(4*2)/n. Let y(b) = b**2 - 3*b + 2. What is the units digit of y(u)?
6
What is the units digit of 186/12 + (-1)/(-2)?
6
Let y = 74 + -29. Suppose 3*d + 0*d = y. What is the tens digit of d?
1
Suppose -6 = -b - 2, -63 = -5*x - 2*b. Let h be 1/((-2)/(-6))*x. What is the units digit of (-1)/3*(3 - h)?
0
Let v = 16 - 6. What is the tens digit of v?
1
Let p = -22 - -16. Let t be 28/(-6)*45/p. Let j = -23 + t. What is the tens digit of j?
1
Let g(l) = l. Let i be g(-2). Let t be 3/5 + i/(-5). Let z = t + 4. What is the units digit of z?
5
Suppose -38 + 14 = -3*g. Let s(b) = -b**2 + 7*b + 2. Let w be s(g). What is the units digit of -3 - 5/(5/w)?
3
Suppose f = -2 - 1. Let u = 5 + f. Suppose -5 = -3*p + 2*o, 2*p + 3*o - 35 = -u*o. What is the units digit of p?
5
Suppose -19 = -3*n - 4*u, 0 = 2*u + 3 - 11. What is the units digit of n?
1
Let t = 4 - 2. Suppose 0 = -5*b - z + 135, -5*b + 164 = -3*z + 9. Suppose t = 5*l - b. What is the units digit of l?
6
Let o(m) = m**3 - m**2 - 3*m - 3. Let t be o(3). Let p = t + -5. What is the units digit of 0 - 1 - (-3)/p?
2
Let j(h) = h**3 - 6*h**2 + 6*h + 7. Let z be j(6). Suppose z = 5*u + 3*s, -3*s + 4 = 2*u - 15. Let q(n) = n - 4. What is the units digit of q(u)?
4
Let y = -15 + 38. What is the units digit of y?
3
Let o = 58 + 9. What is the units digit of o?
7
Let i be (-123 + -9)/(3/2). Let g = -63 - i. What is the tens digit of g?
2
Let a be ((-164)/3)/(3/9). What is the tens digit of (-22)/(-33) + a/(-6)?
2
Let h = -133 - -77. What is the tens digit of 15/6*h/(-10)?
1
Let j = -224 + 399. What is the tens digit of j?
7
Let k(g) = -3*g + 10. Let h be k(5). What is the units digit of (-6)/15 + (-47)/h?
9
Let g = -21 - -35. What is the tens digit of g?
1
Let b(x) = 9 - x + 4*x + 0*x - 4*x. What is the units digit of b(5)?
4
Suppose 0*z - 3*z = -2*h + 72, -z + 214 = 5*h. What is the tens digit of h?
4
Let o(u) = 2*u**3 + 2*u**2 + u. Suppose h + 3*h - 9 = t, 4*t = -4*h + 4. Let k be o(t). What is the units digit of 1 + k + 3 + -2?
1
Suppose -4*b = i - 175, -b + 579 - 65 = 3*i. What is the units digit of i?
1
Suppose -12 = 2*v - 6*v. Suppose -v = 2*x - 43. What is the tens digit of x?
2
What is the units digit of 3 - 0 - (-20 - 8)?
1
Let x(v) = v**3 - v + 14. Let g be x(0). What is the units digit of (-4)/g - 18/(-14)?
1
Let v(f) be the third derivative of f**6/120 + 2*f**5/15 - f**4/8 + 2*f**3/3 - 7*f**2. What is the units digit of v(-8)?
8
Let f(b) = b**3 - 2*b**2 + 3*b - 2. Let y be f(2). Suppose -y + 20 = 2*l. What is the units digit of l?
8
Let l = 0 + 2. Let g be (1/l - 1)*-2. Suppose 0 = 5*w - k - 42, -g = k + 1. What is the units digit of w?
8
Suppose -3*m + 2*a + 5 = -12, -2*a = 8. Let r be 6/(-27) - (-4 + 274/(-18)). What is the tens digit of ((-18)/m)/(-2) + r?
2
Let f be (8/6)/((-1)/(-3)). Let r = f - 2. Suppose -r*g = g - 9. What is the units digit of g?
3
Let q be (-24)/(-28)*(-14)/(-3). Let u(i) = i**3 - 4*i**2 - i + 4. Let r be u(q). Suppose 10 = -r*p + p. What is the tens digit of p?
1
Let o = -155 - -342. What is the units digit of o?
7
Let f(u) = 26*u**3 - u**2 + u. What is the tens digit of f(1)?
2
Let p(l) = 1 - l**2 + 3*l + 0 + 4*l**3 - 7*l**3. What is the tens digit of p(-2)?
1
Let c be (-9)/21 + 1035/(-35). What is the tens digit of c*-3*(-3)/(-18)?
1
Let q be (-1)/(-1) + (0 - -3). Suppose 0 = q*u - 8 - 12. Suppose -u*z = -z - 16. What is the units digit of z?
4
Let u(d) be the third derivative of d**5/60 + d**4/12 - 4*d**2. What is the units digit of u(-3)?
3
Suppose 10 = -5*w, 4*q - 5*w - 658 = -0*w. What is the tens digit of q?
6
Suppose -37 = -4*i + 39. What is the tens digit of i?
1
Suppose 3*a - 117 = 2*z - 5*z, -a - 3*z + 45 = 0. Let c = -13 + a. What is the tens digit of c?
2
Let g(b) = -8*b - 15. What is the units digit of g(-19)?
7
Let a = 2 - 8. Let l(j) = j**3 + 6*j**2 + 5. Let o be l(a). Suppose -o*k + 15 + 15 = 0. What is the units digit of k?
6
Suppose -4*y = -6*y + 6. Suppose 0*l - 39 = -y*l. What is the tens digit of l?
1
Let j = 2 - 0. Suppose j*m = m + 14. What is the units digit of m?
4
Let d be (6 + -4)/(2/4). Suppos
|
{
"pile_set_name": "DM Mathematics"
}
|
aces.
-0.00004
Suppose -2*b - b - 3 = 0, 0 = -2*f + 4*b + 14. Suppose -f*n - 4*v = -3*v - 724, 708 = 5*n - 3*v. What is n rounded to the nearest 10?
140
Let s = -1 + 1. Let c(d) = -13627*d + 3. Let z be c(-1). Suppose s = p - z + 3530. What is p rounded to the nearest one thousand?
10000
Let j = 78 - 78.00159. What is j rounded to four dps?
-0.0016
Let q(u) = 60*u**3 + u**2 + u. Let y be q(-1). Round y to the nearest 10.
-60
Let x = 6 + -6.3. Let q = -0.2 + x. Let b = q - -0.5009. Round b to 3 dps.
0.001
Let q = -6 + 6.0034. Round q to three dps.
0.003
Let i(f) = 34175*f**2 + f - 1. Let p = 7 + -6. Let g be i(p). Let x = -50575 + g. What is x rounded to the nearest one thousand?
-16000
Let i = -3 + 2.99973. Round i to 4 decimal places.
-0.0003
Suppose 69*q - 70*q = -279. What is q rounded to the nearest ten?
280
Let m = -0.16999939 - -0.17. What is m rounded to seven decimal places?
0.0000006
Let k = 40726915.3 + -40726917.53000159. Let h = k + 2.23. Round h to 7 dps.
-0.0000016
Suppose 5*t + 6882 = 1382. What is t rounded to the nearest one hundred?
-1100
Let n be (-5)/(15/18) - -1080006. Round n to the nearest one hundred thousand.
1100000
Let k(y) = 6*y**3 + y - 1. Let v be k(2). Round v to the nearest 10.
50
Let q be 966/(-24) + ((-2)/(-8))/1. What is q rounded to the nearest integer?
-40
Let w = 2.39 - 7.84. Round w to 0 decimal places.
-5
Suppose -2*u - 16 = -6. Let x be (-600)/(-9)*6/u. Let v = 11 + x. What is v rounded to the nearest ten?
-70
Let i = 5 - 22. Let o = -16.14 - i. What is o rounded to 1 dp?
0.9
Let u = 0.229 + 1.281. What is u rounded to 1 decimal place?
1.5
Let g = 0.29542193 - 0.02017663. Let b = -14.7246647 - g. Let c = b - -15. Round c to four decimal places.
0.0001
Suppose 0 = 5*i - 22671085 + 1351800. Let y = -14463857 + i. Round y to the nearest 1000000.
-10000000
Let r = 26.1 - 26.09999733. Round r to 7 dps.
0.0000027
Let i = -1230 + 1230.000000739. What is i rounded to 7 decimal places?
0.0000007
Let s = 3 + -1. Let c = s + -1.99992. Round c to four decimal places.
0.0001
Let z = 8 + 4. Suppose 4*h - z = i - 2*i, i + 2 = 3*h. Suppose 0 = -3*q - 15, -461 = -3*r - h*q + 1359. What is r rounded to the nearest 100?
600
Let d = -0.58 + -0.02. Let a = 6.6 + d. Let q = -5.56 + a. What is q rounded to 1 dp?
0.4
Let x = -241495 - -240672.472. Let y = x + 746.52839. Let d = -76 - y. What is d rounded to 4 decimal places?
-0.0004
Let v = -0.09925 - -0.1. Round v to 4 dps.
0.0008
Let s = 35.55 - 183.45. Let v = 154 + s. What is v rounded to 0 dps?
6
Let q = 5 + -3. Suppose q*s - 4 = -0. Suppose 12 = 3*c, -s*c = -2*g + 1384 + 188. What is g rounded to the nearest 100?
800
Let f = -8.613 - -0.013. Let v = f + -0.4. Let s = v - -9.00000081. Round s to seven dps.
0.0000008
Let v = 4.38 - -0.22. Let d = v + -4.5828. Round d to three decimal places.
0.017
Let g = -1.26206 + 1.212. Let c = g + 0.05. What is c rounded to five dps?
-0.00006
Let w = 1.08 + -1.1. What is w rounded to two dps?
-0.02
Let x(g) be the second derivative of -1276*g**4 + g**3/6 + 2*g. Let c be x(2). Let m = -20246 - c. Round m to the nearest 10000.
40000
Let l = -34.99999975 + 35. What is l rounded to 7 decimal places?
0.0000003
Let i = 17543568.2000028 + -17543597.2. Let o = 29 + i. Round o to 6 decimal places.
0.000003
Let p = -2.98 - 4.18. Let o = p + 7.60097. Let a = -0.44 + o. Round a to 4 dps.
0.001
Let o = 19 - 19.0000128. What is o rounded to 6 decimal places?
-0.000013
Let x = 181 - 180.837. What is x rounded to two dps?
0.16
Let m = -4640756.99979 - -4640787. Let h = -43 - -13. Let b = h + m. Round b to 4 decimal places.
0.0002
Let f = -7938.7 - -959.7. Let j = f - -6979.2989. Let d = j + -0.3. What is d rounded to three decimal places?
-0.001
Let j = -4.58 - -3.9. Let s = -133.32 + j. Let u = -135.07 - s. What is u rounded to one decimal place?
-1.1
Let c = 2.7 + -14.7. Let z = -29 - c. Let y = -17.058 - z. What is y rounded to two dps?
-0.06
Let h(n) be the second derivative of -64999*n**3/3 - 4*n**2 + 7*n. Let m be h(4). Round m to the nearest 100000.
-500000
Let l = -0.352 - -0.191. Round l to two decimal places.
-0.16
Let k = -239.00123 + 239. What is k rounded to four dps?
-0.0012
Let f = -14901.8 + 14906.800008. Let d = f - 5. What is d rounded to 6 dps?
0.000008
Let d = -66 + 42. Let s = -5768346.33 - -5768322.3299977. Let y = s - d. What is y rounded to six dps?
-0.000002
Let z = -0.137 - -0.14. Let j = z + 6.197. What is j rounded to the nearest integer?
6
Let u = -35.00000081 - -35. What is u rounded to 7 decimal places?
-0.0000008
Let i = 97296.61597160742 - 0.22640160742. Let s = i - 97297. Let q = s - -0.61. Round q to 4 dps.
-0.0004
Let a = 1259 + -1160.1. Let j = a + -93. Round j to zero decimal places.
6
Let t(s) = -s**2 - 10*s - 4. Let d be t(-9). Suppose -d*j - 9175 = -4*b, 2*j - j - 9205 = -4*b. What is b rounded to the nearest 1000?
2000
Let k = -0.11 - -0.06. Let c = 1.8 + k. What is c rounded to one dp?
1.8
Let i = -0.21 + -0.31. Let l = 45.52 + i. Let t = l - 45.54. Round t to one dp.
-0.5
Let j = -0.4 + 0.4000531. Round j to five decimal places.
0.00005
Let p = 0.1992 + -0.1313. What is p rounded to 2 decimal places?
0.07
Let t = -22.999852 + 23. What is t rounded to 5 decimal places?
0.00015
Suppose 2*s - 3*b + 4*b + 1739995 = 0, 0 = -s + 4*b - 870020. What is s rounded to the nearest 100000?
-900000
Let x = -1.3088 + 1.3. What is x rounded to 3 dps?
-0.009
Let o = -22871032544.99999923 + 22871032679. Let k = -134 + o. What is k rounded to seven decimal places?
0.0000008
Let h(k) = 156*k**3 + 6*k**2 + 9*k - 5. Let l be h(-5). Round l to the nearest one thousand.
-19000
Suppose -3*y - a = -29, 5*a = -2*y + 3*a + 22. Let s be 143997/y + 2/6. Round s to the nearest ten thousand.
20000
Let d(j) = 508*j - 56. Let b be d(17). Round b to the nearest one thousand.
9000
Let r be (2 + (-31767)/12)*-36. Let x = r - 135364. Let y = x - 129865. What is y rounded to the nearest one hundred thousand?
-200000
Let j(o) = o**3 + o**2 - 1. Let h(w) = -3*w**3 - 4*w**2 - 1026. Let z(s) = -h(s) - 4*j(s). Let i = 2 - 2. Let b be z(i). Round b to the nearest 100.
1000
Let h(t) = -t**2 - 3 + 5*t - 2 - 1. Let x be h(6). Let n = x + 20. Round n to the nearest integer.
8
Let k = 0.26 + -2.24. Round k to one dp.
-2
Let m = -0.5 - 2. Let g = 1.4 + m. Round g to 1 decimal place.
-1.1
Let p = 83 + -431. Let d(z) = 137*z**2 + 4*z + 7. Let b be d(5). Let w = b - p. Round w to the nearest one thousand.
4000
Let f = 1.6 - 1.412. Round f to 1 decimal place.
0.2
Let x = -14086.2999 - -14085. Let u = x - -1.3. Round u to 4 decimal places.
0.0001
Let y = 2.231 - 0.121. Let p = -0.05 + y. What is p rounded to 1 decimal place?
2.1
Let r = 7.999906 - 8. What is r rounded to 5 decimal places?
-0.00009
Let k = -0.6 - -0.2. Let f = 0.38 + k. Let h = f - 5.58. Round h to 0 decimal places.
-6
Suppose -c - 2*c - 24 = -2*p, -5*c + 5*p = 45. Suppose o = -4*m - 22, 5*o + 0*o = 3*m + 28. Let b be (1580/m)/(2/c). Round b to the nearest one hundred.
800
Let p be (-171942)/(-3)*-1*1. Let t(w) = -4796*w**2 - 7*w + 12. Let d be t(6). Let k = d + p. What is k rounded to the nearest 100000?
-200000
Let x = -0.001 - -1.006. Let b = -1.1 + x. Round b to two decimal places.
-0.1
Suppose -y + 3*z = 4988, 0 = -4*y - 8*z + 3*z - 20020. What is y rounded to the nearest one thousand?
-5000
Let q = 9 + -5. Let u be (-2)/q + (-3200002)/(-4). Round u to the nearest 100000.
800000
Suppose 7*v - 2*v - 162110 = 0. Let y = -61422 + v. What is y rounded to the nearest ten thousand?
-30000
Let x = 4.7884 + -0.78835. Let h = x - 4. Round h to 4 decimal places.
0.0001
Let w = -812.14763033 - -810.84763. Let d = 1.3 + w. Round d to 7 dps.
-0.0000003
Let h = -75 - -74.9969. Round h to 3 decimal places.
-0.003
Suppose 4*k = -12, -k - k + 1061994 = -3*s. What is s rounded to the nearest ten thousand?
-350000
Let z be -1 - 2 - (3 + -2) - 4649996. What is z rounded to the nearest one hundred thousand?
-4700000
Suppose -n + 26 = 266. Round n to the nearest 100.
-200
Let g = -0.01 - -0.00416. What is g rounded to four dps?
-0.0058
Let h = 90.99999899 + -91. Round h to 7 decimal places.
-0.000001
Let y be (1 + -2)*-3*1. Let x(i) = 5*i**2 - 2*i + 9. Let g be x(-4). Suppose y*o = -2*q - g, 0 = q - 5*o + o +
|
{
"pile_set_name": "DM Mathematics"
}
|
4, 2*d + 8 = -2*d - 4*m. Let j = d + 5. Solve 5*u + 15 = -5*b, j*b - 3*u - 14 = 6*b for b.
-5
Let o(x) = -6 + x**2 - x + 2 + 9. Let q be o(0). Solve 2*g + q*r = -30, 3*g - r + 3 + 8 = 0 for g.
-5
Suppose 0*z - 13 = -z. Suppose -4*l - c = -z - 3, 5*c + 15 = -l. Solve 4*v - 2*o = -l*o - 11, 2*o + 9 = -3*v for v.
-5
Suppose 2*z - 2*x = 4, -z + 6*z - 3*x - 12 = 0. Solve z*a + 2*a = 3*c + 14, -4*c - 9 = 3*a for a.
1
Let v be (4/6)/(14/63). Suppose -79 + 31 = -v*h. Solve 0 = -3*c + t - 13 - 2, h = -c + 4*t for c.
-4
Let t(j) = j**2 + 8*j + 5. Let n be t(-8). Let c = -2 + n. Suppose 9 - 3 = c*z. Solve -z*r + 8 = -4*u, -5*u + 0 = -5*r + 10 for r.
0
Let w(c) = -c + 1. Let d be w(-8). Suppose 2*s - d = -s. Suppose 0*u + 3*m = -2*u, -m + 7 = s*u. Solve t + 6 - 16 = -u*a, 2*a = -5*t + 24 for a.
2
Let s = -4 + 15. Solve -t + 2*j = 5, -2*t = 4*j - s - 3 for t.
1
Let q(a) = 5 + 0 + a - 5. Let z be q(5). Let i = 0 + z. Solve 0 = 5*t - 3*b - 2 - 0, t - i*b = -4 for t.
1
Let f = 4 - 2. Suppose -2*l - 5*h = -10, 3*l - h - 6 = -4*h. Suppose -f*x - x = -5*m + 80, l = -4*m - 2*x + 64. Solve 2*n = 4*k - 0 - m, -k + 18 = -4*n for n.
-4
Suppose -2*f + 2 = 3*a, f - 14 = -3*f - a. Suppose f*g = 2*g - 8. Let v be (-8)/(-5) + g/(-10). Solve 0 = -2*t - 0*s + 3*s - v, -t = s - 9 for t.
5
Let g(q) = q**3 - 4*q**2 + 2. Let n be g(4). Solve 4*b - n = -0*b - 2*u, 4*b + 5*u - 17 = 0 for b.
-2
Let y be 250/(-6) + 4/6. Let l = y - -58. Let h be 2/(-6)*(1 - 1). Solve o - 2 - 15 = 4*z, h = 4*o + z + l for o.
-3
Suppose -5*o + 13 + 47 = 0. Let f be o + 2 + -3 + -1. Solve -s + 5*c = 4, -c - f = 5*s + 10 for s.
-4
Let v(y) = -y**3 + y**2 + y - 2. Let z = -17 - -15. Let n be v(z). Let u = -2 - -6. Solve -n*p + 4*p + 2*i = 6, -u*p + 15 = 5*i for p.
0
Suppose 0 = n + 4, -q + 4*n + 35 = -0*n. Solve 3*z - 5*y = -q, z - 5*y - 5 = -28 for z.
2
Suppose 0 = b - 2*p + 5 - 3, b = 4*p - 6. Let h be (-1 - (b - 1)) + 7. Let z = 1 - -3. Solve 2*c = -4*m - c - h, -z*m - 2*c = 2 for m.
1
Suppose 4*w - 14 = -b - 2*b, 0 = 4*b - 2*w - 48. Suppose -5*i = -b*i. Solve i = 5*n - a - 4*a + 15, -2*n + a = 6 for n.
-3
Let k be (-4)/(-26) - 6/39. Suppose -5*j + 5*g - 60 = k, 2*j + 10 + 10 = g. Let y be j/(-4)*(-6)/(-4). Solve 2*b - 22 = -5*c - 7, 2*b + y*c = 5 for b.
-5
Suppose 0 = -2*g + 10, -3*g + 6*g = -5*u + 45. Let x be 62/u - (-4)/6. Suppose -4*p = -x - 9. Solve -p*a = -5, 2*d = -8*a + 3*a + 13 for d.
4
Let s = 2 - -7. Suppose 0 = d + s - 11. Solve 2*f - 8 = 2*t, -4*f = -d*f + 5*t - 15 for f.
5
Let l(z) = -z**3 + 5*z**2 - 5*z + 2. Let r be l(4). Let t = r + 2. Let h be 3*(6 + 25/(-5)). Solve 2*a - 10 = -5*w - 3*a, t = -5*w + h*a + 2 for w.
1
Let b(h) = -h**3 - 2*h**2 - 2*h - 3. Let x be b(-3). Solve 3*v = 2*u - x, -1 = -4*u - v - 5 for u.
0
Let l be -4 + 2 - (2 + -7). Solve i = 2*i - 5*f - 28, 0 = 5*i - l*f - 30 for i.
3
Let g = 23 - 14. Let i = 31 + -47. Let x = -16 - i. Solve 3*d + r + 6 = -g, x = 4*d - 5*r + 20 for d.
-5
Let w = 5 - -1. Let i be (16/w)/(1/6). Suppose 3*j - 2*d = 58, -3*d - i = -2*j + 21. Solve 0 = 3*g + 4*q + 12, -4*g - j = g + 2*q for g.
-4
Let a = 1 + -6. Let f = a - -7. Suppose 4*u - f*l - 6 = -4*l, -4*l = -3*u + 21. Solve -u*i + 0*i - 16 = j, -6 = i + j for i.
-5
Let s = -2 - -14. Solve s = 2*a + 3*i, a - 3*i - 9 = -4*a for a.
3
Suppose 2*m - 18 = -5*q, 4*q = -q + 3*m - 2. Suppose -q*i = -4*i + 16. Solve -3*k = -3*f - 15, -k - 4*f - i = k for k.
2
Let y(v) = v + 18. Let f be y(-13). Solve -f*s = -3*z + 5, -4*s - z = 4*z - 33 for s.
2
Suppose -3*r + 6*r = 0. Suppose -4 = -b - r. Solve g - 3*j - j - 4 = 0, g - b = -4*j for g.
4
Let v = -128 + 131. Solve 4*y + v*s = -s + 28, 3*s = -5*y + 29 for y.
4
Let v = -7 + 8. Let d be (3 - 1) + 2 + v. Solve 0 = 5*x + f - 30, -x - d*f = -21 - 9 for x.
5
Suppose 5*g - 2*g = 48. Let t be -4*(3 + -2)*1. Let u = g + t. Solve -h = -5*b + 24, 6*h + u = 3*h for b.
4
Let c(g) = g**3 - 9*g**2 + 8*g - 2. Let o be c(8). Let u be 1 + 1 + (-2 - o). Solve -4 = 2*j - 2*v - 12, u*v - 2 = 0 for j.
5
Let h = 0 + 2. Solve -2*q - 8 = 2*f, -3*f - h*q = -6*f + 3 for f.
-1
Suppose -5*v = -27 - 3. Solve 2*m - 10 = 0, -18 = -3*u - 3*m + v for u.
3
Suppose 4*q = -0*q, -5*l + q + 45 = 0. Let w be (-25)/(-3) + 6/l. Suppose 2*n + 14 = 2*p, 5*p = 2*p - n + 1. Solve 0 = 3*b - w, 0 = -p*t - b - b + 2 for t.
-2
Suppose -k = n + 2, 3*n - 2*n + 5*k = -10. Suppose -22 = -3*h - 64. Let a = -10 - h. Solve 5 = -0*m - m, n = -x + a*m + 21 for x.
1
Suppose -a - 1 = 0, -13 = -4*i + a + 4*a. Solve -4*q - i - 2 = 0, w - q = 0 for w.
-1
Let i(a) = -a. Let l be i(-4). Suppose 4*h + 14 = 2*o, -o - h + 8 = -l*h. Solve -o*z = -5*t + 15, 3*t + 2*z - 5 = 4*z for t.
-1
Let m be ((0 + 1)/(-3))/((-3)/63). Solve -2*c - k = -m, k = -3*c - 4*k for c.
5
Let v be (4/10)/(6/30). Let f be v/(-4) + (-54)/(-12). Solve -4*y + 3*g + 0*g = f, -5*y - 5 = -3*g for y.
-1
Let c = 12 + -5. Solve -2*i - n = -0*n + 6, -c = -i + 2*n for i.
-1
Suppose 2*u - 2*r + 6*r - 4 = 0, 0 = -2*r. Suppose -u = -t + 3. Solve -29 = -3*z + t*h, -4*z + 25 = -z - 4*h for z.
3
Let n be -57*1*4/(-12). Solve 0 = 5*t - g - 13, 2*t - n = -3*t + 3*g for t.
2
Suppose 0 = -5*i - x + 28, 2*x + 2*x = -8. Solve -5*u - 2*b + 3*b - 6 = 0, -b - i = u for u.
-2
Let v = 54 + -20. Solve 5*r - v = -3*f, -2*r + 0 + 4 = -2*f for f.
3
Suppose 2*p + 5*x = 25, -5*x + 36 = 11. Solve -3*j + 3*d + 2 - 5 = p, -5*j - d + 1 = 0 for j.
0
Suppose -5*s + 2*b + 19 = 0, 4*s = 6*s - 5*b - 16. Let r = -15 - -18. Solve 5*i = -3*h - 1, -r*i + 2 = 2*h + s for h.
-2
Let v = -33 + 50. Solve 3*l = -2*c - 0*l + v, -4*c + 3*l = -7 for c.
4
Let v be 19/7 + (-4)/(-14). Suppose h - 18 = 4*f + 20, -5*f - 2*h - 41 = 0. Let w = -5 - f. Solve -4*a + 5*j = 1 + 30, 25 = -w*a + v*j for a.
-4
Let w = -6 - -8. Let f be (-6)/(w + 7/(-2)). Solve 4*x = m - f, -4*m + 3*x - x - 12 = 0 for m.
-4
Let n = 115 - 89. Solve 0*y - 5*y = 4*v + n, -5*y = 5*v + 30 for v.
-4
Let f = -17 - -20. Suppose 4*c = -5*x + 2, -5*c - 7 = f. Solve 3*o - 11 + 2 = 3*j, -x*o = 2*j - 14 for o.
5
Let r(m) = -m**2 + 2*m - 2. Let p be r(4). Let t be (-2)/4 - p/4. Suppose t*g = -g + 12. Solve 16 = x - 3*b, x - b = g*b + 26 for x.
1
Let z = -58 - -60. Solve -z*c = -2*o - 2, 3*o - 1 - 1 = 2*c for c.
5
Suppose -8 = l - h - 4*h, 3*l + 3*h = 48. Let b = -10 + l. Solve 5*k - z + 14 = 39, b*z - 20 = -4*k for k.
5
Suppose -4*y + 7 + 1 = 0. Suppose k = y*k. Solve -5*p - 24 + 7 = -r, -4*p - 12 = k for r.
2
Suppose 0 = m - 5*m + 20. Suppose -5*v - 7 = j + 5, -5*j = m*v. Solve u + j*k - 5 = -7, k = 0 for u.
-2
Suppose 3*j = -4*z + 12, 5*z - 4*j = -2*j - 8. Let h(v) = v**3 + 4*v**2 - 6*v + 1. Let t be h(-5). Solve z*d + t = 2*d - 2*l, -d - l = 1 for d.
1
Let x(f) = 2*f + 6. Let j be x(7). Let l = 0 - -3. Let k = -6 + 9. Solve -5*d = -q - j, -k*q - 2*d + l*d - 4 = 0 for q.
0
Let a(t) = -2*t**2 + 3*t**2 + 0*t**3 - 2*t**2 - 5*t**3. Let h be a(-1). Let w be (h/14)/(3/21). Solve -4*f + w*z = 0, 0 = -6*f + 2*f + z - 4 for f.
-2
Let h be 10*4/140 - (-164)/14. Solve -2*p + 17 = -3*j, -3*p + h = -3*j - 6*p for j.
-5
Let y(c) = -3*c**2 + 3*c**2 + 2 - c**2 + 12*c. Let a be y(12). Suppose -3*g + 3 = -a*g. Solve 10*b = 5*b + 15, -g = 4*x - 5*b for x.
3
Suppose -3*s = -2*s. Let x = 536 + -532. Let w = -10 + 23. Solve s = j - d, -3*d - 1 = x*j + w for j.
-2
Suppose -b - 3*t = -3, 2 = -0*t + 2*t. Solve 3*a + b*a - 13 = -4*x, 0 = -3*a - x + 1 for a.
-1
Let b(g) = -9*g**2 - g - 1. Let n be b(-1). Let f = n + 15. Solve -3*t = -3*l, l - f*l + 12 = -t for l.
3
Let n be 1*3*28/21. Solve k + n*t = -13, 4*t - 3 = -5*k + t for k.
3
Let g(u) = -u**3 - 4*u**2 + 3*u + 2. Let l be g(-5). Suppose -3*z - 12 = -v - 3*v, 3*v = -3*z - l. Solve 0 = -3*c - 2*r - 11, 5*c + v*r - r = -27 for c.
-5
Suppose 7*t = 10*t. Let n = -9 - -3. Let j(z) = z**2 + 6*z + 5. Let k be j(n). Solve t = k*p - 3*g - 2*g, -3*p - g = -8 for p.
2
Let x = 21 - 19. Solve 4*v = 5*f + 3*v + 1, 0 = x*f + 3*v + 14 for f.
-1
Let i be (-58)/(-5) + 2/5. Let s = 46 - 44. Solve -i = -s*m + 3*x, -2*m + 4*x + 13 = -3 for m.
0
Let y(l) = 1 + 2*l**2 - 3*l + 7*l**2 + 2*l. Let p be y(1). Solve -k - k + p = -v, 0 = -4*v - 20 for k.
2
Let h(r) = 3*r**2 - 6*r - 4. Let o be h(3). Solve 4*d - 2*w = -2, 3*d = 5*d - o*w + 5 for d.
0
Let k be (12 + -4)*4 + -2. Solve -3*g + 0*v = -2*v + 9, 5*v = -3*g - k for g.
-5
Suppos
|
{
"pile_set_name": "DM Mathematics"
}
|
, k, q
Let q = 45/14 + -43/14. Put -1/18, q, 0.3 in decreasing order.
0.3, q, -1/18
Let q = -637.7 - -638. Sort 0.1, -3, q, -9.
-9, -3, 0.1, q
Let w be -7 - 64/(-8) - -6. Put -3.4, w, -1/3 in descending order.
w, -1/3, -3.4
Let f = -107 + -43. Let k = 150 + f. Suppose -2*s - p = 3, -5*s - 4*p - 5 = -2. Put s, 3, k in descending order.
3, k, s
Let j = -410 + 414. Put 8, -1/7, j in descending order.
8, j, -1/7
Let n be -3*(-5)/1*(-4)/(-10). Put -7, -5, -2, n in decreasing order.
n, -2, -5, -7
Let y be 6/(-8)*(0 + 10/15). Put 1, 4, 82, y in increasing order.
y, 1, 4, 82
Let t = 3 - 2.91. Let d = t - 0.29. Let u = -9 + 14. Put 0, d, u in decreasing order.
u, 0, d
Suppose -5*n = l - 22, 0 = -l - 0*n - 3*n + 14. Suppose 2*z = 6 + l. Let u be (96/(-392))/(4/14). Put -1, z, u in descending order.
z, u, -1
Let z = 7 + -43. Let y = z - -36.4. Sort -5, 3, y.
-5, y, 3
Let x = -0.0138 + -0.4862. Sort -1, -1/7, 0.1, x.
-1, x, -1/7, 0.1
Let f(u) = u**2 + 10*u - 11. Let z be f(-7). Let r = z - -36. Sort -5, 11, r in decreasing order.
11, r, -5
Let j be 4*(-12 + 360/32). Put 1, 7, j, 21 in ascending order.
j, 1, 7, 21
Let s = -13 - -18. Suppose v = -s*t - 17, t = -4*v - 2*t. Suppose -v = -4*z + 5. Sort -1, z, -4.
-4, -1, z
Let l = -3 + 6. Let y be 0/(-37) - 15/(-3). Put y, 2, l, -3 in descending order.
y, l, 2, -3
Let q = 5 - 3. Let r = 3593 - 3590. Put -10/3, q, 1/2, r in ascending order.
-10/3, 1/2, q, r
Let c(l) = -l**3 - 24*l**2 + 47*l - 132. Let f be c(-26). Sort -4, -3, f, 8 in decreasing order.
8, f, -3, -4
Suppose -83 = -18*g + 97. Sort g, -33, 5 in decreasing order.
g, 5, -33
Suppose 0 = -4*t + 4*m - 7 + 3, -26 = 5*t + 2*m. Sort t, -1.1, -2.
t, -2, -1.1
Let b be (-2)/((48/(-40))/3). Put 2, 1, -2, b in descending order.
b, 2, 1, -2
Let l = 0.2 + 0. Let u = 19.84 + -20.24. Sort l, 1/3, u, 5.
u, l, 1/3, 5
Suppose 0*u + u = -1. Let d(j) = -9*j - 20. Let f be d(-3). Suppose 0 = -2*r, 5*r = -f*q + 2*q. Put u, q, 4 in decreasing order.
4, q, u
Let w = 2151 + -2151.4. Put -31, 1, w, 2 in increasing order.
-31, w, 1, 2
Let l = 108.66 - 107. Let z = l + -0.83. Let c = 0.13 - z. Sort c, 2/7, 0.
c, 0, 2/7
Let z be (1 - 1/2)*-2. Let i = 6 + z. Suppose 4*d + 3*w = 0, -3*d - 40 = -i*w - 11. Put d, -1, -2 in decreasing order.
-1, -2, d
Let a be ((-2)/4)/(1/2). Let s(k) = 2*k + 54. Let x be s(14). Let w = x + -87. Sort -3, a, w.
w, -3, a
Let w = 2.05 + -2. Let u be 28*(-70)/(-200) + -9. Sort -1, w, u.
-1, w, u
Suppose -t - 5 + 2 = 0. Let x = -6 - -1. Sort 1, 0, x, t.
x, t, 0, 1
Let p = -456 - -7760/17. Let h = p - -12/119. Sort h, 4, 1.
h, 1, 4
Let g = -3.2 + 2.6. Let c = -1 - 1. Let m be c + (-1 + -1 - 0). Sort m, g, 2 in descending order.
2, g, m
Let d be 21/(-2)*(-320)/24. Let r be 4/(d/44 + -3). Let i = -17 + r. Put 10, i, 1 in ascending order.
1, i, 10
Let r = 1302 + -1298. Sort r, -5, -6 in decreasing order.
r, -5, -6
Let x(m) = -4*m**2 - 3*m + 2. Let n be x(-3). Let b = n + 22. Sort b, -1, 3, 1 in descending order.
3, 1, -1, b
Let m = 6.795 - -0.105. Let q = -0.9 + m. Let k = -5 + 0. Put -0.1, q, k in descending order.
q, -0.1, k
Let x be (-2 - -3)/1*(8 + -5). Suppose x*i - 8*i = 2*h + 22, 2*i = 3*h - 5. Put 2, -1, i, 0 in decreasing order.
2, 0, -1, i
Let f = 197/160 - -3/160. Let q = 0 - 1. Sort q, -5, f in increasing order.
-5, q, f
Let i = 0.7 - 0.1. Let m = 28 + -28.4. Let w = m + i. Put w, 0.3, 2/11 in decreasing order.
0.3, w, 2/11
Suppose -r = 6*p + 3*p + 40, -5*p = 3*r + 32. Sort -2, p, -7 in increasing order.
-7, p, -2
Suppose -3*b = 5*a - 33, 5*a = 4*a + 5*b + 1. Suppose -l - 15 = -a*l. Sort 5, l, 2/9.
2/9, l, 5
Suppose 19 = -3*r + 7. Let m = 433 - 428. Sort r, 0, 3, m in increasing order.
r, 0, 3, m
Suppose -q + 4*q + 39 = 0. Let y(v) = -v**3 + 7*v**2 + 9*v - 5. Suppose 4*o - 9*o - 40 = -5*i, 0 = 2*o. Let s be y(i). Put s, q, -5 in ascending order.
q, -5, s
Let x = -760 - -765. Put 6/11, 9, x in ascending order.
6/11, x, 9
Let x = 583 + -578. Let z(c) = c**2 - 2*c + 2. Let u be z(2). Sort u, x, 7.
u, x, 7
Let g = -25 + 23. Let n = 6 - g. Let t = 13 - n. Sort 1, t, -6 in descending order.
t, 1, -6
Let k = 6 + 32. Let a be (216/(-28))/((-2)/(-14)). Let q = a + k. Sort q, -5, 2 in ascending order.
q, -5, 2
Let s = 225.2 - 225.3. Sort s, -36/7, 2/3, 0.2 in ascending order.
-36/7, s, 0.2, 2/3
Let z = -67/3 - -30. Put -1/6, 0.4, z in decreasing order.
z, 0.4, -1/6
Suppose 36*b - 32*b = -20, 0 = 2*n - 3*b - 11. Let m be 54/10 + 2/(-5). Sort 3, n, m in descending order.
m, 3, n
Let a = 2594 + -2576. Sort a, -14, 4 in descending order.
a, 4, -14
Let o = 34 + -56. Let p = 19 + o. Sort -2/9, 0.3, p, 0.1 in descending order.
0.3, 0.1, -2/9, p
Let n = -0.05 - 0.25. Let u = 0.074 - 39.074. Let q = -38 - u. Sort n, 0, q.
n, 0, q
Suppose 2*c - 2 = -0, -2*j = -2*c - 4. Let t(l) = l**3 - 3*l**2 + 2*l - 4. Let m be t(3). Let y be 0/(1*m/2). Put y, j, 5 in decreasing order.
5, j, y
Let q be ((-1)/(-2))/(11/220). Suppose 6*i + q = 100. Suppose -6*y + 11*y + i = 0. Put 2, y, -5 in descending order.
2, y, -5
Let o(t) = 2*t - 41. Let w be o(19). Sort -1, w, 10 in descending order.
10, -1, w
Suppose -4 = -3*w + 5. Let j = -1 + 7. Let z be (5/25)/(j/20). Sort -0.6, w, z.
-0.6, z, w
Suppose 14 = 2*w + 4*t, -4*w + 8 = -t + 4*t. Let a = -7 - -8. Sort a, w, -5.
-5, w, a
Let o = 3 - 5. Let d = -84 + 91. Sort -4, o, d in decreasing order.
d, o, -4
Suppose 3*w - 20 = 5*k, w = 4*w - k - 4. Suppose 5*t + 5 = -w*t. Put 7, t, 1 in descending order.
7, 1, t
Let x be (-2)/(-4) + 93/(-6). Let g = 7 + -10. Put x, g, 3 in increasing order.
x, g, 3
Let f = -102 + 54. Let x = f - -34. Let v be 16/(-14)*x/56. Sort -2/11, 0.3, v in decreasing order.
0.3, v, -2/11
Let x = 0.4 + 1.6. Let d = -0.6 - -0.3. Sort -0.1, d, 0, x.
d, -0.1, 0, x
Let w(g) = g**2 - 8*g - 5. Let a be w(8). Suppose -15 = -6*l + l. Let p(h) = -h + 4. Let k be p(7). Sort a, k, l.
a, k, l
Let g(s) = 4*s - 30. Let w be g(7). Let f be (w/(1*6))/(4/24). Suppose 2*u - 15 = -5*h + 3*u, 5*u = 5*h - 35. Sort 0, f, h in ascending order.
f, 0, h
Let m = 91.8 - 93. Put 5, 2/5, m in ascending order.
m, 2/5, 5
Let w = 49 + 31. Let x = -80 + w. Sort x, 5, 31.
x, 5, 31
Suppose 5*l - 9 = -2*v, 5*v + 4*l = 2*l - 9. Let b(k) = k**3 + 4*k**2 - k. Let d = 0 + -4. Let s be b(d). Put -2, s, v in ascending order.
v, -2, s
Suppose i - 19 + 21 = 0. Put 3, 1, i in decreasing order.
3, 1, i
Suppose 0 = w - 32 + 29. Suppose h + 0 = -w. Put h, -4, 37 in increasing order.
-4, h, 37
Let i = -0.084 - 1.776. Let b = i + -0.14. Sort b, 2/11, -16 in descending order.
2/11, b, -16
Let c = -16 - -15.9. Let t be (4 + 136/(-36))*6/(-2). Sort c, t, 1/5, 2/9.
t, c, 1/5, 2/9
Let d be 16/1598 + 6/51. Sort -0.6, d, -5 in decreasing order.
d, -0.6, -5
Suppose -21*z + 102 + 129 = 0. Put z, 2, -1, -5 in decreasing order.
z, 2, -1, -5
Let z = 77 - 83. Let y be ((-3)/z + 0)/(6/(-24)). Let g = -3 - -2.6. Sort y, -5, g in ascending order.
-5, y, g
Suppose -4*p - 2*t = -7 - 11, p - 2 = -3*t. Suppose f + 5*r = 6 + 2, -5*f + p*r + 130 = 0. Suppose -f + 20 = -q. Sort -2, 0, q.
-2, 0, q
Let q(k) = 6*k**2 + 182*k + 62. Let f be q(-30). Sort -1, f, -10, 3.
-10, -1, f, 3
Let b = -35 + 37. Suppose 0 = 4*l - l + 9. Let a(s) = -s**2 - 2*s. Let t be a(l). Sort 3, t, b.
t, b, 3
Suppose -6*g = a + 17, -2*a + g = -g + 6. Sort 1, -105, a in increasing order.
-105, a, 1
Let l = -115 - -122.9. Let y = l + -8. Put -2/9, -0.4, 4, y in decreasing order.
4, y, -2/9, -0.4
Suppose -26*k = -7*k - 76. Sort 85, -2, k.
-2, k, 85
Let z(u) = -u**2 - 3. Let b be z(0). Let x(v) = 2*v**2 + 108*v - 114. Let p be x(-55). Let i = -21 - -11. Sort p, i, b in decreasing order.
b, p, i
Suppose -5*s - 8 = -23. Let h be (-3)/(3/(-6) + (2 - s)). Put h, 6, -2 in ascending order.
-2, h, 6
Let u = 39 + -42. Put -2/9, -9, u in increasing order.
-9, u, -2/9
Let q be (1794/(-15))/13*-15. Put 5, 3, q in increasing order.
3, 5, q
Let x be 17/26 - (-1)/(-2). Let s = 30072 + -90214/3. Put s, 0, x, 4 in decreasing order.
4, s, x, 0
Let a = 127 + -124. Put -0.5, 7, -4/7, a in descending order.
7, a, -0.5, -4/7
Let a be 1/(2/(-4)*-1). Let s be 4 + (-81)/(-9) + -8. Sort a, -4, s.
-4, a, s
Let v = 0.338 + -0.138. Let p = -0.4 - 0.1. Sort p, v, -1/4.
p, -1/4, v
Let a = 885059/2286 + 579/254. Let f = 389 - a. Let h be (-1 - 78/(-9
|
{
"pile_set_name": "DM Mathematics"
}
|
y + 486. Determine z(480).
6
Let t(q) = 2*q**3 - 46*q**2 - 119*q + 1425. Determine t(24).
-279
Let h(g) = -3*g**3 - 38*g**2 - 14*g + 107. Give h(-2).
7
Let r(p) = -206*p + 206. Calculate r(4).
-618
Let r(u) = 13433*u - 53760. Determine r(4).
-28
Let j(i) = -71183*i - 4. Calculate j(0).
-4
Let q(y) = -7114*y**2 + 35573*y - 9. Calculate q(5).
6
Let o(m) = -4*m**2 + 3980*m - 63444. Determine o(16).
-788
Let l(d) = -1582*d - 145558. Give l(-92).
-14
Let r(n) = -36*n**3 - 469*n**2 - 5*n + 98. Determine r(-13).
-6
Let a(m) = 2594*m - 39028. Give a(15).
-118
Let f(d) = -d**3 - 8*d**2 - 81*d - 95. Determine f(-14).
2215
Let d(s) = -9*s**2 - 849*s - 17984. What is d(-32)?
-32
Let x(q) = q**2 + 132*q + 3933. Determine x(-44).
61
Let q(j) = -16265*j + 81320. What is q(5)?
-5
Let m(z) = -13*z**3 + 27406*z**2 - 4215*z - 2110. Give m(2108).
-2
Let j(f) = 12*f**2 + 2133*f - 37204. What is j(16)?
-4
Let y(k) = k**3 + 74*k**2 + 1382*k + 44. What is y(-31)?
-1475
Let z(a) = -37*a + 2879. Calculate z(86).
-303
Let m(o) = 3327*o + 309510. Calculate m(-93).
99
Let b(f) = 2*f**3 + 60*f**2 + 31*f + 204. Determine b(-30).
-726
Let c(d) = -60*d**2 + 76*d - 294. Calculate c(6).
-1998
Let j(r) = -r**3 + 58*r**2 - 881*r + 3157. Give j(17).
29
Let r(i) = -449*i - 84763. Give r(-191).
996
Let r(x) = -110*x**2 + 141*x - 39. Determine r(1).
-8
Let b(k) = -k**2 - 500*k - 13769. Give b(-29).
-110
Let d(b) = b**2 - 4463*b - 4895733. What is d(-911)?
-19
Let f(i) = i**3 + 131*i**2 - 350*i - 11036. Give f(-133).
136
Let d(i) = -10720*i + 193067. Give d(18).
107
Let z(s) = -4151*s + 103769. Determine z(25).
-6
Let x(a) = 8*a**2 + 405*a - 1739. Give x(-53).
-732
Let y(q) = q**3 + 58*q**2 - 1952*q + 1319. What is y(-82)?
7
Let u(c) = c**3 - 6*c**2 - 4404*c + 3924. Give u(69).
-9
Let o(c) = c**3 + 45*c**2 - 682*c - 74. What is o(11)?
-800
Let k(c) = -7*c**3 + 203*c**2 - 697*c - 43. What is k(25)?
32
Let r(i) = -15*i**2 + 12011*i - 47788. Determine r(4).
16
Let c(b) = -b**2 - 30773*b - 184579. Determine c(-6).
23
Let k(h) = -365*h - 861. What is k(-8)?
2059
Let l(v) = -v**2 - 395*v - 35459. Give l(-255).
241
Let s(z) = -18*z**3 + 26*z**2 + 43*z - 104. What is s(3)?
-227
Let d(l) = -10172*l**2 + 732388*l - 302. Give d(72).
-14
Let j(w) = 6662*w + 173255. Calculate j(-26).
43
Let p(d) = -1028134*d - 14393862. Calculate p(-14).
14
Let a(z) = 160*z**2 - 11334*z - 1842. Determine a(71).
4
Let t(g) = 1456003*g - 32032069. Determine t(22).
-3
Let o(w) = -w**3 - 19*w**2 + 9207*w + 166028. Determine o(-18).
-22
Let j(l) = -30*l**2 - 106*l - 12. Give j(-2).
80
Let i(b) = -2*b**3 + 19*b**2 + 248*b - 2355. Give i(11).
10
Let l(v) = -333*v - 50955. Determine l(-152).
-339
Let h(r) = -5*r**2 - 77*r - 81. What is h(-15)?
-51
Let w(z) = 717*z - 5037. Determine w(7).
-18
Let c(i) = -468*i - 5481. What is c(-8)?
-1737
Let b(f) = 12417*f + 24806. Calculate b(-2).
-28
Let x(j) = -48*j**3 - 712*j**2 + 123*j + 50. Give x(-15).
5
Let j(z) = -z**2 + 212*z + 34475. Calculate j(321).
-514
Let b(d) = d**3 - 5*d**2 + 31*d - 201. What is b(8)?
239
Let z(y) = 11*y**2 + 617*y + 3277. Give z(-50).
-73
Let o(m) = 2*m**3 + 44*m**2 - 547*m - 11525. Determine o(-23).
-2
Let h(i) = i**3 - 21*i**2 + 53273*i - 904493. What is h(17)?
-8
Let u(p) = 154*p**2 - 139*p + 237. Determine u(-5).
4782
Let j(f) = -13508*f + 1296761. What is j(96)?
-7
Let o(u) = 10461*u + 115082. Calculate o(-11).
11
Let r(k) = -k**3 - 1521*k**2 - 19540*k + 96518. Calculate r(-1508).
6
Let j(n) = 8*n**2 - 139*n - 491. What is j(21)?
118
Let v(z) = -2*z**2 - 3048*z + 27541. Determine v(9).
-53
Let m(l) = -5*l**2 + 490*l - 9904. Give m(29).
101
Let f(w) = -2*w**2 + 507*w + 23695. Give f(294).
-119
Let g(s) = -7*s**2 + 87*s + 31327. Calculate g(-61).
-27
Let v(i) = i**3 - 10*i**2 - 8*i - 353. Calculate v(10).
-433
Let k(r) = 101332*r + 405297. Determine k(-4).
-31
Let k(h) = -2446*h - 68479. What is k(-28)?
9
Let m(p) = -p**2 - 107158*p + 857334. Calculate m(8).
6
Let u(a) = -a**3 - 240*a**2 - 2375*a + 189. Determine u(-10).
939
Let p(j) = 13*j**2 - 1471*j + 14853. Determine p(102).
63
Let i(l) = -453*l**2 + 55*l + 52. Determine i(-1).
-456
Let i(v) = 5*v**3 + 60*v**2 + 52*v + 7. What is i(-11)?
40
Let y(h) = h**3 + 59*h**2 - 84*h - 2270. What is y(-60)?
-830
Let z(q) = -q**2 + 13206*q - 749564. Give z(57).
-71
Let h(f) = -26247*f**2 - 367457*f + 10. What is h(-14)?
-4
Let y(f) = 2*f**2 + 59*f + 674. What is y(-13)?
245
Let a(d) = -313*d + 12710. Calculate a(39).
503
Let y(n) = -7*n**3 + 17*n**2 - 405*n + 2314. What is y(6)?
-1016
Let x(l) = -3*l**3 + 61*l**2 + 77*l - 2066. Give x(20).
-126
Let u(d) = -9*d**2 - 780*d - 11582. Give u(-68).
-158
Let r(y) = -22*y**2 + 316*y - 935. Give r(3).
-185
Let s(y) = 37*y**2 + 2*y + 77. Give s(-10).
3757
Let i(h) = 2*h**3 + 204*h**2 + 2798*h + 11. Determine i(-16).
-725
Let w(p) = -86*p - 10994. Determine w(-126).
-158
Let u(h) = -53*h**2 + 26102*h - 38790. Calculate u(491).
-1
Let n(j) = -912*j - 7064. Determine n(-8).
232
Let o(c) = -13*c**3 + 165*c**2 - 359*c - 20. What is o(3)?
37
Let k(a) = 19*a**2 + 1399*a + 520. Calculate k(-73).
-356
Let g(c) = 9456*c + 320844. What is g(-34)?
-660
Let a(h) = -3*h**2 - 1354*h + 26808. What is a(19)?
-1
Let t(i) = i**2 - 38*i - 1185. Give t(58).
-25
Let i(m) = 2*m**2 + 1005*m + 36728. Calculate i(-40).
-272
Let r(n) = 8*n**2 + 2177*n + 6524. Calculate r(-3).
65
Let o(c) = -231019*c - 4158341. What is o(-18)?
1
Let t(v) = -2*v**3 + 2012*v**2 - 1941*v - 69334. Calculate t(1005).
11
Let v(m) = -3*m**3 - 4*m**2 - 222*m - 1117. What is v(-5)?
268
Let y(s) = -4*s**2 - 926*s + 65092. Calculate y(-288).
4
Let y(m) = -5814*m + 17458. Give y(3).
16
Let q(g) = g**2 + 1138*g + 17729. Give q(-16).
-223
Let f(b) = -2*b**2 - 1055*b - 91813. Determine f(-110).
37
Let v(m) = -m**2 - 2572*m + 281095. What is v(105)?
10
Let o(m) = -3*m**3 - 21*m**2 + 127*m + 53. Determine o(-10).
-317
Let k(z) = 1140*z + 172026. Give k(-151).
-114
Let t(f) = -f**3 + 43*f**2 + 185*f - 11. Calculate t(-4).
1
Let q(x) = 118*x**3 + 7*x**2 - 127*x + 121. Give q(1).
119
Let w(s) = s**3 + 5*s**2 + 1371*s + 11075. What is w(-8)?
-85
Let j(n) = -597*n**2 - 501*n - 15. Calculate j(-2).
-1401
Let l(m) = 1271*m - 30680. Give l(26).
2366
Let y(c) = -2*c**3 - 284*c**2 + 384*c + 14042. Determine y(-143).
28
Let f(s) = 5743*s**2 + 591529*s + 26. Give f(-103).
26
Let v(l) = 620*l + 15585. Give v(-26).
-535
Let d(x) = -399*x**2 + 23*x. Determine d(1).
-376
Let m(i) = -11*i**3 - 72*i**2 + 85*i + 364. Calculate m(-7).
14
Let v(s) = -s**2 + 83*s + 12516. What is v(-77)?
196
Let y(i) = i**3 + 73*i**2 + 7*i - 55. Calculate y(0).
-55
Let l(k) = 29749*k - 356862. What is l(12)?
126
Let y(h) = 257*h**3 + h**2 + 135*h + 133. Calculate y(-1).
-258
Let y(g) = 6*g**2 + 279*g + 2897. What is y(-17)?
-112
Let k(w) = -w**2 + 24*w + 200. What is k(30)?
20
Let c(i) = 11*i**3 - 120*i**2 - 18*i + 8. Determine c(11).
-69
Let v(l) = 2*l**3 + 300*l**2 + 296*l - 191. What is v(-149)?
107
Let m(v) = -13*v**3 - 23*v**2 + 34*v + 222. Give m(-4).
550
Let n(x) = 4332*x + 17937. Determine n(-4).
609
Let x(r) = r**3 + 76*r**2 - 531*r + 187. Determine x(-83).
-3963
Let o(v) = -317*v**3 - 3169*v**2 - 32*v - 410. What is o(-10)?
10
Let z(c) = -c**3 - 222*c**2 + 521*c + 16372. What is z(-224)?
20
Let c(v) = -198*v - 10318. Calculate c(-59).
1364
Let l(n) = -825*n**2 - 182345*n - 4416. Give l(-221).
4
Let y(s) = -9*s**2 - 54*s + 845. What is y(12)?
-1099
Let t(i) = 3*i**2 - 65*i + 281. Determine t(5).
31
Let q(o) = 6*o**3 + 2458*o**2 - 868*o - 19562. Give q(-410).
118
Let w(x) = 4*x**3 - 1173*x**2 - 888*x + 1773. What is w(294)?
9
Let k(l) = -41*l**2 - 322*l - 222. What is k(-5)?
363
Let r(t) = -4122*t + 78659. What is r(19)?
341
Let c(z) = -4*z**3 - 373*z**2 - 42*z + 4726. Give c(-93).
-17
Let t(u) = -154*u + 7870. What is t(52)?
-138
Let l(k) = -3886*k + 31922. Calculate l(8).
834
Let l(w) = w**3 - w**2 - 2387*w + 4763. Determine l(2).
-7
Let h(v) = -5*v**3 - 309*v**2 + 72*v + 212. What is h(-62)?
-408
Let k(j) = -774*j - 4677. Determine k(-6).
-33
Let c(r) = 221950*r + 1775605. Give c(-8).
5
Let i(p) = 4770*p - 195577. Give i(41).
-7
Let j(b) = b**3 - 400*b**2 - 3320*b + 22604. Calculate j(408).
-244
Let c(d) = d**2 - 750*d + 81577. Determine c(132).
1
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
se -3*z = 17*z - 3*z. Suppose 0 = 2*h - z*h, h = -4*r. Solve r = 2*v - 2*y, v - 4*y = -v - 2 for v.
1
Let v be 0 - 0 - (1 - 11). Suppose 4*l - 1074 = -1122. Let n be 25/(-10)*1*l/v. Solve n = 3*z - 3*p, z + 2*z = -4*p + 24 for z.
4
Suppose -l + 31 = 160*t - 164*t, 4*l + 4*t = -16. Solve -13*d + 6 = -10*d, 0 = l*u - 5*d + 7 for u.
1
Let y be ((-4)/(-4))/1 - (-6 + 8)*-2. Solve 5*m = -3*b - 7, -19 + 9 = y*m for b.
1
Let i(w) = 13*w**2 + 12*w + 12. Let d be i(-1). Suppose -5*r - d = -2*s + 5*s, 2*s + r = 3. Solve 4*k = -p + s*p + 4, -5*k + 8 = -3*p for k.
4
Let a = -68 - -68. Suppose a*r = -l + r, 2 = r. Let u be (6/15)/l - (-58)/10. Solve -c = -m + 6, -7*m = -2*m + 3*c - u for m.
3
Suppose 2*n = 3*n - 26. Suppose 0 = 2*r - 4*a, -35*a - 4 = -39*a. Solve 4*u + l = -l + 4, -r*u + 5*l + n = 0 for u.
3
Let u = -6213 + 6215. Solve f = -u*h + 4, -5*f + 5*h - 10 = -0*f for f.
0
Let i be 59*(-3)/6*(-2 - 0). Let n = 62 - i. Let y be n - (-16 - -1)/(-5). Solve 0 = -2*k + 10, 5*h - 2*k = -y - 10 for h.
0
Let n be (1/(-4))/(67/(-1340)) + -1. Solve -n*t - 4*w = 24, t = 6*t - 2*w - 5 for t.
-1
Suppose 94 + 20 + 28 = 2*g + 4*t, 0 = t. Solve -8 = 3*x - r, 75*r - 10 = x + g*r for x.
-2
Let f(t) be the third derivative of -2*t**5/15 - 47*t**4/24 + 4*t**3/3 + t**2 - 39*t. Let h be f(-6). Solve 4*p + h = -3*n - 20, -14 = 3*p + n for p.
-4
Let k = 0 - -4. Let a = 4470 + -4469. Solve -p - a = -4*u + 4, -5*p = -k*u + 25 for u.
0
Suppose -631 - 454 = -35*x. Let z be 28 - x - 4*-2. Solve 5*g + 3*a = -2*a + 5, 0 = -3*g + z*a - 29 for g.
-3
Let y(u) = -409*u - 1224. Let o be y(-3). Solve -o*k = 9, -4*a + 5*k - 4*k + 3 = 0 for a.
0
Let a = -85 - -81. Let p be (4 - -8)/((18/a)/(-3)). Solve p = 4*d + 4*o, -10 = -2*d - 3*d + o for d.
2
Let m = -20830 + 20835. Solve 117*d - 112*d - 31 = -2*a, m*a - 3*d = 0 for a.
3
Let b(d) = d**3 - 10*d - 4*d - 1 - 5*d**2 + 15*d. Suppose -5*p = -p - 20. Let n be b(p). Solve -n*l + 20 = -4*k, 3*k = -3*l - 2*l + 1 for k.
-3
Let j(s) = -5*s - 30. Let w be j(-10). Suppose -6*i + w = -2*i. Solve -4*m + 1 = -5*m, -23 = -i*c + 3*m for c.
4
Let v(z) = 4*z**2 + 39*z + 5. Let l be v(-10). Let g be l/(-12) - (-187)/44. Solve 0 = g*y - 3*m - 21, -2*y = -y - 2*m - 11 for y.
3
Suppose 68*h - 62 + 62 = 0. Solve 2*a - o = 0, -2*a + h*a + 3*o = -8 for a.
-2
Let x be (-2)/(-17) - (300/(-51) - -2). Suppose 2 = -x*k + 18. Let w be 152/48 - (-1)/(-6). Solve 0 = w*y + 2*m - 0*m - 8, k*y = -4*m + 16 for y.
0
Let f be (0 + 3/(-10))/(154/(-1540)). Let v = -10 - -36. Suppose g - 1 = 0, 5*q + 4*g - 3*g - v = 0. Solve -2*n = 5*o - 3, -3 + 1 = -q*o - f*n for o.
1
Let c = 5430 + -5416. Solve 2*o + 20*l = 19*l + 6, 5*o = -2*l + c for o.
2
Suppose 190*p - 194*p = 1060. Let z = -233 - p. Solve 0 = -2*b + 2*x, 6*x - 2*x = -4*b + z for b.
4
Suppose n - 6 = 45. Suppose -83 = -2*a - n. Suppose 20*c - a*c - 16 = 0. Solve -c*r = 3*t - 10, -2*t + 2 = 4*r - 6 for r.
1
Let x be -11 + (-176)/(-16) - -37. Solve n + l + 9 = 0, 3*l = -71*n + 66*n - x for n.
-5
Suppose 5*q - 131 = -2*u, -2*u = -q + 33 - 2. Let n be 2/4*22*1. Suppose -5*y = -2*y + 2*i - n, 5*i + 30 = 4*y. Solve 18 = -l + 3*g + g, -y*g = l - q for l.
2
Let q be 291/194*(3 - 1). Solve 20 = 4*v - 2*f, -8*v + q*v + 11 = f for v.
3
Let q be (5/(-9))/(25/(-210)) + (-10)/(-30). Solve 0 = -9*m + 4*m + 2*o + 10, 0 = -5*m + q*o + 10 for m.
2
Let x be (-45)/(-8) + (-70)/112. Solve -11 = -v + 5*r, x*r - 63 = -4*v - 69 for v.
1
Let n be 2/(11/(-9 + 20)). Solve -10 - 5 = -n*q + 5*a, 0 = 3*a + 15 for q.
-5
Let o(f) = -19 - 34*f - 31*f + 98*f - 36*f. Let x be o(-7). Suppose -5*n + 0*n - 2*r + 4 = 0, -4*n = x*r - 4. Solve c + n*g - 5 = 5*g, -2*g = -c + 5 for c.
5
Let g(l) = -15*l**3 - 2*l - 3. Let y be g(2). Let v = -131 - y. Let o be v + (-248)/(-60) + 146/30. Solve -5*i - x = 22, 4*i + 4*x + x + o = 0 for i.
-5
Let u(m) be the third derivative of 0*m + 43*m**2 + 1/12*m**4 + 0 - 10/3*m**3. Let w be u(11). Solve -8 = -a + i + i, -a - w*i = 0 for a.
4
Let t be (-54)/99*(-209)/38. Solve 11*s - 16*s = -5*o, -t*o - 5*s - 32 = 0 for o.
-4
Let d(p) = 15*p**3 + 10*p**2 + 9*p**3 - 22 - 38*p**3 + 15*p**3 - 13*p. Let r be d(-11). Solve r = -5*z - 4*b - 28, 0*z - b = z + 6 for z.
-4
Let c = 3116 + -3103. Solve 2*d + q = -c, 7*d - 3*d + q = -23 for d.
-5
Let k(c) = c**2 + 13*c + 51. Let y be k(-5). Suppose 2*p = 8, -12*p + 8*p + y = -o. Solve s - 10 = -o*l, -l = -4*s - 3 + 1 for l.
2
Suppose 0 = 2*l - 7*l - w - 1, -5*l + 4*w + 4 = 0. Suppose 6*j + 45 = j. Let v = j + 11. Solve 0 = -2*i + 3*c + v, l*c - c + 22 = 5*i for i.
4
Suppose -3*a - a + 8 = 0. Suppose 1 = d, 9 = a*l + 5*d - 2. Suppose 5*z + 3*t - 16 = 0, t = -z + l*t + 11. Solve 0 = y - j, 2*j = 4*y - y - z for y.
5
Suppose -h + 10 = h. Suppose -2*k + 5*i = -6, 3*k - 8*k + 15 = h*i. Solve -2*s = k*b - 11 - 5, 3*b - 8 = 2*s for b.
4
Let v(i) = i**3 + 33*i**2 + 100*i + 33. Let g be v(-3). Suppose 16 = 8*s - 4*s. Solve -y + 3*m = -g*y + 19, 4*m - 28 = -s*y for y.
2
Let v(t) = 27*t + 58. Let z be v(-2). Suppose -4*s - 2 = -5*d - z, 4*s + d - 14 = 0. Solve -s*b + 2*x = 1, 0*x = -5*b + x - 11 for b.
-3
Let l = -46 + 48. Let x(g) = 3*g**3 - 2*g**2 + 1. Let n be x(-1). Let k be (-12 - -10)/(n/6). Solve -k*f = -5*s - 4, s - f = l*f - 8 for s.
1
Let i = -2778 + 2788. Solve -i = -5*u - 0, 0 = 4*j + 2*u - 16 for j.
3
Let k(s) = 14*s + 210. Let c be k(-21). Let w be ((-12)/14)/(9/c). Solve 3*m + w = -4*y, 2*m - m = 5*y + 29 for m.
4
Suppose 0 = 6*m - 2*m - 4*n + 4, 3*m + n - 9 = 0. Suppose 5*z + t - m = 0, z + 2*t = -0*t + 4. Solve 5*p + y + 5 = z, -2*p + 3*y = -3 - 12 for p.
0
Let p be -19 - (-11)/((-154)/(-1246)). Solve c - b + 4 = 0, 5*c + p*b - 71*b + 24 = 0 for c.
-5
Let v(m) = 8*m**2 + 15*m + 1. Let b be v(-2). Suppose 5*x - 11 = -b*y + 110, -2*x = y - 48. Solve 0*n = 3*n - 2*u + 11, -3*n - x = -5*u for n.
-1
Suppose -5*w + 4*k + 31 = 0, -3 = -k - 7. Solve 75*i + w*p = 73*i + 8, -p = 5*i - 7 for i.
1
Let z(l) = l**3 + 6*l**2 + 6*l + 9. Let u be z(-4). Suppose -13*k - 24 = -u*k. Let f be (-20)/15*6/(-4) + k. Solve f = 3*p + 5*i, -p + 4*i = 8*i - 12 for p.
-4
Suppose -2*y = -3*m + 12, -m - 2*y = 3*y - 21. Let j = 470 - 464. Let d be j/16 + 481/296. Solve -w = -v - m, -v + w = d*v + 12 for v.
-3
Let i = 170 + -171. Let x be ((-40)/24)/(i/3). Solve -c = x*o + 26, 5*c + 13 = 4*o + 28 for c.
-1
Let x(i) = -3*i + 31. Let w be x(7). Let z = -273 + 275. Solve 7*c + 20 = 3*c, -z*c - w = -2*v for v.
0
Let i(v) = 2*v**2 + 7*v + 15. Let c be i(-20). Let u = c - 675. Solve u = 2*t - 4, p + 4*t = -4*p + 8 for p.
0
Suppose 23*l - 21*l - 4*o = 112, 0 = 4*l - 3*o - 239. Solve p = -4*y + 12, -2*p = -4*y - l + 86 for p.
-4
Let k = -5965 + 6001. Solve 0 = -2*a + l + 5, 3*a + l + 26 = k for a.
3
Let f(i) = 33*i**2 + 256*i - 56. Let s be f(-8). Solve 9*p - 6 = s*p + 4*u, 0 = p + 4*u - 6 for p.
6
Suppose 5*h - 15 + 5 = 0. Suppose -4*q = -2*q + 2, h*k = -4*q. Suppose -2*u = 5*t - 11 - 14, u = 5*t - 10. Solve u*x - 10 = k*f, -5*x = -f - 4*f - 25 for f.
-5
Let k = 723 + -721. Solve -n + 4 = d, -3*d = k*n - 13 + 6 for d.
-1
Let r(x) = -x**3 - x**2 + 4*x - 4. Suppose o = -4*u - 23, 2*u + 16 = -3*o - 3. Let t be r(o). Solve 5*i = 4*d - 9, 2*d + 21 - 3 = -t*i for i.
-5
Let h be (-1*(-1)/3)/((-8)/(-72)). Suppose 4*l - 3 - 15 = -o, -11 = -h*l - 2*o. Let x be (-6)/(-30) - (-99)/l. Solve 10*r - 25 = 5*r + 2*y, 0 = -4*y - x for r.
3
Let h be 3 + 6 + -1 + -6. Suppose -y + h = 0, -3*y + 37 = a + 9. Solve 4*t - a = 2*q, 0 = -4*t + 5 + 7 for q.
-5
Suppose l - 3*m + 112 = 0, -3*m + 2*m = 4. Let y be (l/(-93))/((-8)/(-18)). Solve -o - y*p = -10, p - 2 = -3*o - p for o.
-2
Let o be (4/7)/(8/28 + 0). Suppose -o*k + 5*c = -38, -2*k - 10 = -3*c - 40. Solve k = 3*s + 3*d, -5*s - d + 23 = -4*d for s.
4
Suppose 26 = 4*t - 195*b + 194*b, 3*t + 5*b = -15. Suppose -2*p = 2*p - 12. Suppose 0*y = -y + p. Solve 2*s + 2*a = 0, y*s - 7*s - 4 = t*a for s.
4
Suppose 4*j = -3*h - 31, -2*j - 3*h - 14 + 3 = 0. Let d be (-2)/(-5) - 56/j. Let m be 9/2 - (-3)/d. Solve 0 = -m*t + 4*g - 30, -t - 3*g = -4 - 9 for t.
-2
Let i(m) = 21*m - 1. Let u be i(2). Suppose 8*q - 39 = u. Suppose -q = -l - 8. Solve -5*r - v + 29 = -l*v, -r = -v - 9 for r.
5
Let x(b) = 7*b**2 - 8*b + 7. Let n be x(2). Suppose 0 = n*q + 21 - 59. Solve -5*c = -0*t - 5*t - 30, 3 = -q*t - c for t.
-3
|
{
"pile_set_name": "DM Mathematics"
}
|
the third biggest value in -3, h, u?
-3
Let t(j) = j**3 - 2*j. Let x be t(2). Let p = -55/72 + 7/18. Suppose 3*f + 4 + 5 = 0. Which is the third biggest value? (a) x (b) f (c) p
b
Let v = -0.2 + 0.3. Let m = 2152.3 - 2152. What is the third smallest value in m, 0.4, v, 5?
0.4
Let q(l) = -l**3 - 12*l**2 - 18*l + 21. Let y be q(-10). Which is the second biggest value? (a) -0.5 (b) y (c) 0.5 (d) 4/15
c
Let t = -292 + 293. Which is the fourth biggest value? (a) -2 (b) -3 (c) -187 (d) t
c
Let s = 1653.89 + -1654. Which is the second smallest value? (a) 0.05 (b) -3 (c) s
c
Suppose 2*s + 0*p = 4*p - 24, -p = -5. Let y be ((-4)/10)/(s/10). Which is the second smallest value? (a) -0.3 (b) -3 (c) y
a
Let i = 197953/2490 - -1/1245. Which is the third biggest value? (a) 2 (b) i (c) -0.1 (d) -5/2
c
Suppose -5*l = 4*f + 813, f + 831 = -5*l + 3*f. Let q be 2/(-5)*1*l. Let x be (-2)/6 - q/(-306). Which is the third smallest value? (a) 1/3 (b) -0.2 (c) x
a
Let x = 4 - 1. Let p = 8 + 12. Let w = 20 - p. What is the second smallest value in -0.3, w, x?
w
Let m = -1011 + 1007. Which is the third biggest value? (a) 0.2 (b) m (c) 40
b
Let m = -128 + 120.5. Let g = m - -7.7. What is the fourth biggest value in -1, -1/6, g, 1/11?
-1
Let z = -5.02 + 0.02. Let m = z + 5.1. Let n = -1.1 + m. What is the smallest value in n, 4/5, -2/5?
n
Let r = 2.39 + 2.61. Let y = 14.5 - 15. What is the second smallest value in -3/5, r, y?
y
Let b be 5*(-10)/25 - 5/(-3). What is the third biggest value in 36, -0.1, b?
b
Let f = 212 - 211.5. Let x = 125/156 + -2/39. What is the third smallest value in x, 1, f, 0.07?
x
Let v = 11990/3 - 4043. Let o = v - -46. Let q be (-1)/2*12/4. What is the third smallest value in -0.5, o, q?
o
Let q be 3/4*(-8)/14. Let g = 0.667 - -3.333. Let s = 6 - 17/3. Which is the third biggest value? (a) q (b) s (c) g
a
Let i = -674 - -677. Which is the third biggest value? (a) -2 (b) i (c) 11
a
Let b = -1.28 - -0.91. Let o = b - -0.07. Let y be 4/9 + ((-47)/18 - -2). What is the third biggest value in o, 1, y?
o
Let c = 52.7723 - 0.0723. Let g = c - 53. What is the third biggest value in 4, -24, g?
-24
Let x = -3.4 - -0.6. Let n = -3 - x. Let q = 10176 + -10176.3. Which is the biggest value? (a) q (b) n (c) 0.06
c
Let j be (-4)/(-3)*6/(-4). Suppose -7*y + 19 + 65 = 0. Let q be (j/(-4))/((-21)/y). Which is the second biggest value? (a) 3 (b) 2 (c) q
b
Let g = -776 + 769. Which is the smallest value? (a) 6 (b) 1 (c) g (d) 0
c
Let m = 0.01 - 2.01. Let w = -1/116 - 225/812. Let c = -65 - -68. What is the third biggest value in c, m, w?
m
Let h(s) = -s**3 + 11*s**2 + 14*s + 2. Let q be h(12). What is the biggest value in q, 0, 0.2?
q
Let p = -35.2 - -36.2. Which is the third biggest value? (a) -4 (b) p (c) -0.3
a
Let x = -1248 + 1234. What is the fourth biggest value in 0.5, 4, -4, x?
x
Let a = 3380 - 3375. Let w = -17.86 + 18. Let s = 12.86 + w. What is the second smallest value in s, a, -1/5?
a
Let f(w) = 6*w - 2*w - 13 - 3*w - 2*w. Let r be f(-9). Let x be 1/(2/(-17) - (-230)/(-68)). Which is the second biggest value? (a) 12 (b) x (c) r
b
Let h = -0.0351 + 0.0351. Which is the second biggest value? (a) h (b) 5 (c) 0.77 (d) -3
c
Suppose -9*b + 4*b - 15 = 0. Let q = -0.61 + 0.81. What is the second smallest value in q, b, 3?
q
Let j = 33 + -100/3. Let w = -26 + 8.4. Let n = 18 + w. What is the biggest value in n, j, -0.4?
n
Let k = -0.034 - -0.534. Let a = -3 - -3. Let i = a + -1. What is the third smallest value in i, k, 0.2?
k
Let m be (-28)/112*(-8)/(-18). Let n(g) = g**3 + 9 + 10*g + 9*g**2 + g**2 - 5. Let v be n(-9). Which is the smallest value? (a) v (b) m (c) 0.05
a
Let m = -171 - -172. Let y be 33/22 + 1 + -1. Which is the biggest value? (a) 5 (b) m (c) y
a
Let u = 52.586 - 32.54. Let j = u - 0.046. Let s = j + -19.5. What is the biggest value in s, -2/3, -8?
s
Let q be 7 + 0 + -4 - 2. Let z(p) = -3*p**2 - 2*p. Let w be z(q). What is the biggest value in 5/3, w, 3/2?
5/3
Let v = -1203 - -6017/5. Which is the fourth smallest value? (a) -9 (b) v (c) -0.1 (d) 2
d
Let h = 17.3 - 5.3. Let g = -9 + h. What is the second biggest value in 5, -0.3, -0.8, g?
g
Let p = -497/3 - -167. Let t = -0.83 + 0.6. Let v = -0.07 + t. What is the third biggest value in p, -1, v?
-1
Let z = 0.92 + -1.32. Let k = -2.9 - -2.9. What is the second smallest value in -2, z, -1/2, k?
-1/2
Suppose -27*s + 13*s = 0. What is the third biggest value in 8, 2/13, s, -2/7?
s
Suppose -96*m = -88*m. Which is the fourth smallest value? (a) 20 (b) m (c) -0.3 (d) 1/5
a
Let x(h) = -3*h**2 + 9. Let r(l) = -4*l**2 + l + 10. Let t(v) = 2*r(v) - 3*x(v). Let j be t(-3). What is the biggest value in -5, 0, j?
0
Let j = 2169 + -2126. What is the smallest value in 5, 1/12, j?
1/12
Let f = 156.34 + -156.54. Let z = -13 + 8. What is the biggest value in f, 0, z?
0
Let l be (-20)/(-150) + 156/(-495). Which is the second smallest value? (a) l (b) -0.3 (c) -3 (d) -0.2
b
Suppose -4*p + 3*m = -11, 0*p + 3*p = 4*m + 10. What is the second biggest value in p, -9, -11?
-9
Suppose -5*k = -227 + 212. Which is the second biggest value? (a) 9/2 (b) -3 (c) 4 (d) k
c
Let q be (-39)/(-6) - (-30 + 35). What is the second smallest value in 0.4, q, -1/6?
0.4
Let u = -4.75 - -2.75. Let l = 14 - 13.8. What is the smallest value in -0.3, l, u?
u
Suppose -3*w = 2*d + 21, -12*w + d = -7*w + 22. What is the third smallest value in w, 3, -1/7, 0.4?
0.4
Let x(f) = -f**2 + 2*f - 1. Let v be x(2). Let o = -9.78 - -10. Let r = o + -0.02. Which is the second biggest value? (a) r (b) v (c) -3
b
Let k = -0.62 - 0.14. Let v = 0.26 + k. Let t(q) = 2*q - 6. Let d be t(4). What is the second biggest value in v, d, -2?
v
Suppose 12*z = 7*z + 25. Let f be ((-1)/2)/((-25)/z). Which is the third smallest value? (a) 0 (b) -0.4 (c) f
c
Let l = 89 - 539/6. What is the fourth biggest value in 2/13, 4, l, -3?
-3
Let f be (-8 - (-224)/40)/(12/160). Which is the third biggest value? (a) f (b) -0.13 (c) 2
a
Let h = 4.51 - 0.51. What is the biggest value in 2/3, 0.3, h, 44/3?
44/3
Let y = 5 - 13/4. Let h = 0.22 + 0.08. Which is the second biggest value? (a) -5/4 (b) y (c) h
c
Let i = 0.27 - 0.77. Let t = -3.03 + 0.03. Which is the third biggest value? (a) 0.2 (b) t (c) -1 (d) i
c
Let g = -0.201 - 0.099. Which is the fourth smallest value? (a) 5 (b) g (c) 4 (d) 26
d
Suppose 77*p = 78*p - j + 3, -3*j = 6. Which is the fourth smallest value? (a) -3 (b) 1 (c) p (d) 2/19
b
Let h = 156.96 - 157. What is the third biggest value in 0.01, 3, h?
h
Let b = 53.6 - 54. Let x = 50 + -49. What is the second smallest value in b, -3, x, -1/3?
b
Let q = 12/5 + -9/10. Which is the third smallest value? (a) q (b) -1/3 (c) -1/2 (d) -0.6
b
Let d = -4 + 5.1. Let r = -0.9 + d. Let t = -0.2 - 0. Which is the third smallest value? (a) -3/5 (b) t (c) r
c
Let l = 1.582 - 1.97. Which is the smallest value? (a) -4/5 (b) l (c) 1/3
a
Let g = 205 + -205.4. What is the fourth biggest value in -3, 1/4, g, -4?
-4
Suppose 2*b - 3 = -5*p, -3*b + 1 - 4 = 5*p. What is the second smallest value in -9, b, 3/7?
b
Let t = -215 + 133. Let b = t + 81.9. What is the second smallest value in -3/7, b, 2?
b
Let o = -1/913 - 6572/83. Let g = o - -79. What is the biggest value in g, -4, -2/15, -2/9?
-2/15
Let r = -54 + 48. What is the third biggest value in 4, 1.9, r?
r
Let m = 0.0883 - 7.0883. Which is the third smallest value? (a) -6/7 (b) m (c) -0.5
c
Let u = -0.32 - -0.5. Let o = u - -0.12. Let s = 53/5 + -10. Which is the third smallest value? (a) 2 (b) o (c) s
a
Let r = -3 + 7. Suppose 3*f + 23 = 2*u, 4*f + 6 = 6*f + 4*u. What is the third biggest value in -0.4, r, f?
f
Let f = 312.8 - 314. Let p = 6.5 + -5. Let v = p + f. What is the second biggest value in v, 2/7, -4?
2/7
Let z = 15.1 + -78.1. Let l = z + 62.5. Which is the fourth smallest value? (a) l (b) -1.1 (c) -5 (d) -0.1
d
Let q be 902/205 - (4 + -3 + 4). Let g = 2 + -2. Which is the third biggest value? (a) q (b) 1/7 (c) -2.1 (d) g
a
Let n = 73 + -68. Let f be n/35*(0 + -4). Let q = -5/12 + -1/12. Which is the second biggest value? (a) q (b) f (c) -0.2
a
Let h = 0.1 + 0. Let o = -2.39 - -0.19. Let w = -4.2 - o. Whic
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is the third smallest value in k, b, -2/13?
k
Let h = 180.1 + -180. Let p be (-3)/12*16/(-12). Let y = -0.2 - -0.4. Which is the third biggest value? (a) y (b) p (c) h
c
Let d = 29 + -6. Let h = -18 + d. Let v = 0.32 + -0.02. Which is the second smallest value? (a) h (b) 10 (c) v
a
Let i(r) = 2*r + 12. Let h(l) = -2*l - 12. Let v(q) = 3*h(q) + 2*i(q). Let y be v(-7). What is the smallest value in 2/17, -0.2, y, -0.3?
-0.3
Let y(d) = d - 16. Let g be y(19). Suppose 0 = 4*c - 4*r - 28, g*c - 6 = 2*r - 4*r. What is the third biggest value in c, -2, -3?
-3
Let r = -3.71 - -4. Let n = 0.31 - r. What is the biggest value in 2/7, n, -1, -0.2?
2/7
Suppose 0 = -c - 3*c + 4. Let k be c - (-3 - (3 + -4)). Suppose 2*r - y - 4 = 0, -k*r = 2*r - 5*y. What is the third biggest value in -7, -1, r?
-7
Let w be (-11 - -1)/(-3 + 4/4). Let r = 2 - 2.2. Which is the smallest value? (a) 0.4 (b) r (c) w
b
Let x = -10.82 + 11. Let d = -6.1637 + -0.0163. Let w = x + d. Which is the biggest value? (a) w (b) -3/7 (c) -0.3
c
Suppose -3*q = -6*q. Let z = -6 - -2. Let r = z + 4.1. What is the smallest value in -4, r, q?
-4
Suppose 5*s + 16 = s. Let p = 0.2 - -0.3. Let m = -8821 + 8825. What is the second smallest value in p, s, m?
p
Let h = -48.5 - -49. Which is the second biggest value? (a) 3 (b) 1.3 (c) h (d) 0.4
b
Let p be 6/(-9) + 17/3. Suppose 0 = 4*h + 19 + p. Let z be ((-2)/h - 0)*-15. What is the third smallest value in -1, -2, z?
-1
Let w = 0.241 - -12.759. Which is the third biggest value? (a) 1/3 (b) -4 (c) -1 (d) w
c
Let s = 17.1 + -21. Let o = -3.73 - s. Let y = 0.23 + o. Which is the third smallest value? (a) -3/11 (b) y (c) -4
b
Let i be 10*(4 - 69/18). Let y = -5.1 - -1.1. Let x(c) = -c**2 + c. Let z be x(0). What is the second smallest value in i, z, y?
z
Let l = 78 + -82. What is the third smallest value in -5, l, 1/7?
1/7
Let h be (170/24 - 7)*16. Which is the second biggest value? (a) -0.2 (b) 9 (c) h
c
Let o = -22 - -25. Let j = 68 - 67. Which is the second biggest value? (a) -5 (b) j (c) o (d) -3
b
Let h = -654 + 653.7. Which is the third biggest value? (a) -15 (b) -2 (c) h
a
Suppose -u - 18 = -5*o, 5*o + 4*u - 21 = -18. Let v = -6 + 11. Which is the fourth smallest value? (a) -0.1 (b) v (c) o (d) 1/4
b
Let j = 161/11 - 655/44. What is the third smallest value in j, 9, -1/5?
9
Let t = 7 - 12. Let q = 35.078 + -0.078. Let g = 34.6 - q. Which is the second smallest value? (a) g (b) -1.1 (c) t
b
Let n = 176 + -180. Which is the fourth smallest value? (a) 1 (b) n (c) 1/2 (d) -5
a
Let f = 0.9 + -1.22. Let i = 129 - 128.78. Let s = f + i. What is the second smallest value in s, 0.3, -9?
s
Let q = -188.8 + 189. Which is the biggest value? (a) 0.6 (b) 5 (c) q (d) 2/13
b
Let p = 6 + -4. Let m = -6.09 - -0.09. Let s = -9 - m. Which is the third smallest value? (a) p (b) s (c) 5
c
Suppose 2*u - 36 = -5*x, -18 = -3*x + 7*u - 10*u. Let r(n) = -n + 5. Let v be r(5). Suppose v = -s + x*s + 35. Which is the biggest value? (a) 3 (b) s (c) -3
a
Suppose 0 = w - 25 - 18. Let n = w + -44. Which is the second biggest value? (a) 4 (b) -11 (c) n
c
Let l = 245.7 + -244. Which is the biggest value? (a) l (b) 3 (c) -0.4
b
Let t = -34 - -10. Let h = -21 - t. Let b be (9/(-6))/((-3)/4). What is the biggest value in h, 1, b?
h
Let g = 3 + 1. Suppose -1462*i + 30 = -1456*i. What is the third biggest value in g, -0.4, i?
-0.4
Let q = 4131 - 4134. Let x = -2.5 - -30.5. What is the second biggest value in -1/9, q, x?
-1/9
Let k = -0.687 - 128.373. Let y = k + 131. Let v = 0.06 + y. Which is the smallest value? (a) 1 (b) v (c) -2
c
Let x = 106.82 - 107. Which is the third biggest value? (a) -1 (b) x (c) 1/6
a
Let f = 1498 - 1502. Let p be (-6)/4*(-4)/15. Which is the second smallest value? (a) f (b) p (c) 3
b
Let l be 9/(-15)*60/18. Which is the third biggest value? (a) -265 (b) -1/2 (c) l
a
Suppose -28 = -4*i - 5*f, -i + 4*i - f - 2 = 0. Suppose 4*d - i*d = 0. Let m = -1 - 3. Which is the second smallest value? (a) 3/2 (b) d (c) m
b
Let v be 7/(56/180) + (-3)/(-6). Let g = v - 165/7. Let l = -2.5 - -2. What is the second smallest value in 0.2, g, l?
l
Let n = -3513 - -3511. Let m = 0.1 - -0.4. What is the third smallest value in 0.1, 1, n, m?
m
Let z(q) = -264*q**2 - q - 2. Let t be z(-1). Let l = 1067/4 + t. Which is the biggest value? (a) -0.2 (b) l (c) 4
c
Let n = -59 - -59.12. Let k = n - -0.38. Let a be (-1)/8*2/3. What is the biggest value in -3, k, a?
k
Suppose -3*q + 4*q = 5. Suppose -3*r + 3*b + 18 = 0, -1 = 2*r + 3*b + 2. Suppose q = 4*v - r. What is the third smallest value in 0.4, -2/7, v?
v
Let p be (6 - 7) + -4*3. Which is the third smallest value? (a) p (b) 3 (c) -1/5
b
Suppose 6*d = -d + 182. Let w = 28 - d. Which is the third smallest value? (a) 0.4 (b) w (c) -8
b
Let k = 21.4 + -25. Let m = k + -0.4. Which is the third biggest value? (a) -1/5 (b) 0.1 (c) m (d) 2/9
a
Let a = -13 - -15. Let j = 0.018 + -4.018. What is the fourth biggest value in 0.1, a, j, -3/5?
j
Let z = 17 - 9. Let y = z + -5. Let w = 3.9 - 4.3. What is the third biggest value in y, 1/3, w?
w
Let j(t) = t**3 - 5*t**2 - 2*t + 5. Let x be j(5). Suppose 0 = 6*d - 4*d - 22. What is the smallest value in -0.3, x, d?
x
Let i = -0.16 - 0.24. Let l = 98.3 + -106. Let z = l - -8. Which is the third smallest value? (a) i (b) z (c) -4
b
Let f = -8 + 10. What is the third biggest value in -16, -1, f?
-16
Let m(r) = -3*r + 21. Let z be m(6). What is the biggest value in 0, 2, z, 2/57?
z
Let g = -0.094 + 2.094. Let x = -1.1 - -0.1. Which is the third smallest value? (a) 0.1 (b) g (c) x
b
Suppose 2*o = -3*p - 104, 5*p + 4*o + 172 = o. Let s = p + 35. Let v = -2.4 + 2. What is the second smallest value in s, -1, v?
v
Let o = 0.2 + -0.4. Let k = -11.2 - -10.891. Let s = k - -0.009. Which is the second biggest value? (a) o (b) s (c) -3
b
Let i = -558 + 558.4. Which is the third biggest value? (a) 0.1 (b) i (c) -0.3 (d) -10
c
Let x = -0.8 + 5.8. Let i = -4/7 + 5/21. Let y be -2 + ((-28)/(-98) - 62/(-28)). Which is the third smallest value? (a) i (b) x (c) y
b
Let g = 0.554 - 0.154. What is the biggest value in 1, -0.4, g?
1
Let w be (156/18)/((-2)/3). Let z(y) = -y - 13. Let q be z(w). What is the third biggest value in 1, 0.01, q?
q
Let r be ((-3)/(-14))/(90/70). Suppose 2*a + 6 = -2*w, 2*a + w = 2*w + 6. Let h be (a - -1)*6/4. What is the third smallest value in -1/2, h, r?
h
Let d = -96.5 - -96.9. Which is the second smallest value? (a) 2/15 (b) d (c) 13/14
b
Let m = -23 + 24. Let y = 12 + -15. What is the smallest value in m, y, -2?
y
Suppose 1 = 5*h + 11. Let i be (-4 + 207/51)*h. What is the second biggest value in i, -3/5, -10?
-3/5
Let v = 200.17 + -201. Let y = 0.13 + v. Let s = y - -0.4. Which is the biggest value? (a) s (b) -1/11 (c) 5/3
c
Suppose -3*n + n - 10 = -5*c, c + 4*n - 2 = 0. Suppose -a = c*a. Let l = -88.8 - -89. What is the biggest value in l, 12, a?
12
Let z = -1501 + 1500. Which is the smallest value? (a) z (b) 5 (c) 0.17
a
Let c = 129.89 - 129.89. Let q = 0.3 + -0.5. What is the third biggest value in q, -0.3, c?
-0.3
Let n be (-5 - -8) + (-356)/118. Let z = n + 179/118. Which is the third biggest value? (a) 18 (b) 3 (c) 1/3 (d) z
d
Let h = -0.02 - -0.02. Let s = -3.166 - -0.066. Let v = 3.3 + s. What is the biggest value in h, 0.5, v?
0.5
Let y = -0.57 + 1.07. Let v = 0.17 + -0.07. What is the second biggest value in 7/13, v, y?
y
Suppose 5*l + 260 = 15*l. Let h be (l/(-195))/((-8)/6 + 2). Which is the third biggest value? (a) 1/5 (b) -2 (c) h
b
Let y be (-6 - -1) + 2/(-2). Let p = 14414.2 + -14414. Let l = 6 - 6.3. Which is the smallest value? (a) y (b) p (c) l
a
Let h be (0 - 10/(-50))*(-10)/8. What is the smallest value in h, -1/9, -3/2?
-3/2
Let g = -5.33 - -4.83. Which is the biggest value? (a) g (b) 1/7 (c) -8 (d) 4/5
d
Suppose -8 = 4*u - 3*g, -16 + 0 = 4*u - 5*g. What is the fourth biggest value in 2/11, u, 3/8, 10?
2/11
Suppose 2*w + 5 = -z + 14, 15 = 5*z. Suppose -w*q - 2*q - 10 = 0. Let k be 1 - ((-56)/20)/q. Which is the third smallest value? (a) -1/4 (b) k (c) -0.5
a
Let x(r) = -r**3 - 8*r**2 - 5*r + 3. Let l be x(-7). Let k = l + 9. Let p = -0
|
{
"pile_set_name": "DM Mathematics"
}
|
j + 45/2*j**b - 75/4*j**3 + 0.
-3*j*(5*j - 3)**2/4
Let a(x) be the second derivative of -x**5/4 - 25*x**4/3 + 5*x**3/6 + 50*x**2 + 115*x. What is u in a(u) = 0?
-20, -1, 1
Let c = 41 + -19. Suppose -4*t + c = 2*h, 12 + 7 = h + 4*t. Factor 2/3*y**h + 10/9*y**2 + 0 + 4/9*y.
2*y*(y + 1)*(3*y + 2)/9
Let u(t) = t**4 + 63*t**3 + 960*t**2 - 1030*t + 6. Let i(w) = -2*w + 2. Let l(k) = -15*i(k) + 5*u(k). Suppose l(a) = 0. What is a?
-32, 0, 1
Let j be 2/(-11) + (-114)/(-22). Suppose 0 = -5*b + d + 48, -31 = -4*b + d + 7. Factor b*x - 19*x**2 + 20*x**3 + 2*x**j - 10*x**4 + 1 - 3 - x**2.
2*(x - 1)**5
Let r = 391445 - 3518873/9. Let j = r - 458. Factor 20/9*q**3 - 2/9 + 10/9*q - 20/9*q**2 - j*q**4 + 2/9*q**5.
2*(q - 1)**5/9
Let h(a) be the first derivative of 16*a + 4*a**5 - 12*a**3 + 3*a**4 - 23 + 20 - 11*a**4 + 16*a**2. Solve h(s) = 0.
-1, -2/5, 1, 2
Let o(b) be the first derivative of -2*b**5/35 + b**4/7 + 2*b**3/21 - 2*b**2/7 + 282. Solve o(u) = 0.
-1, 0, 1, 2
Factor 60*w + 14791*w**4 + 924*w**2 - 640*w**3 - 14683*w**4 + 12*w.
4*w*(w - 3)**2*(27*w + 2)
Let h(j) = -7*j**3 - 3*j + 10. Suppose 137 + 186 = 19*u. Let d(t) = -20*t**3 + t**2 - 10*t + 29. Let b(w) = u*h(w) - 6*d(w). Factor b(r).
(r - 4)*(r - 1)**2
Let s(x) = 3*x + 45*x**3 + 3*x + 7 + 5*x - 18 + 4*x**4. Let b(g) = g**4 + 9*g**3 + 2*g - 2. Let i(w) = 11*b(w) - 2*s(w). Solve i(c) = 0.
-3, 0
Suppose 124 = -12*p + 43*p. Let a(y) be the third derivative of -1/48*y**p + 0 + 0*y - 1/240*y**5 - 1/24*y**3 - 7*y**2. Factor a(f).
-(f + 1)**2/4
Suppose 3*b + 14 = 5*b. Factor -4*m**2 - 55*m - m**2 - 8 + 75 - b.
-5*(m - 1)*(m + 12)
Let l be (15/9)/(2/(32/200)). Let g(w) be the second derivative of 1/6*w**4 + 0*w**2 + 2/25*w**5 - 6*w + l*w**3 + 0 + 1/75*w**6. Find p, given that g(p) = 0.
-2, -1, 0
Let w(o) be the first derivative of o**4 - 148*o**3/3 + 142*o**2 - 140*o - 260. Factor w(t).
4*(t - 35)*(t - 1)**2
Suppose 3*l + 33 = 3*v, l + 0*l + 25 = 3*v. Suppose -z - v*z = -16. Suppose -2*i**4 + 0 + 0*i - z*i**3 - 2/3*i**5 - 2/3*i**2 = 0. Calculate i.
-1, 0
Let q = 121/120 - 5/24. Factor -2/5*i**2 - q*i + 6/5.
-2*(i - 1)*(i + 3)/5
Let h be 2 + (-2688)/(-147) - 16. Let u be (-2)/(-56) - 3/(-12). What is i in -2*i**2 + u*i**3 - 18/7 + h*i = 0?
1, 3
Suppose -3*d - 7*d = -20. Let k be -9*(8/12 - 1). Solve 4/7*t + 0 - 2/7*t**d - 6/7*t**k = 0.
-1, 0, 2/3
Let k(c) be the first derivative of 7 - 27/2*c**2 + 12*c - c**3. Let b(u) = -2*u**2 - 14*u + 6. Let r(h) = 9*b(h) - 5*k(h). Factor r(g).
-3*(g - 2)*(g - 1)
Let n(j) be the third derivative of j**5/75 - j**4/120 - 74*j**2. Solve n(q) = 0.
0, 1/4
Let w be -3 - -58*1/18. Let o = 40 - 118/3. Factor 0 - w*p**2 + o*p.
-2*p*(p - 3)/9
Let d = 75 + -28. Factor 3*t**3 + d*t - 3*t**4 + 6*t**2 - 3*t**2 - 50*t.
-3*t*(t - 1)**2*(t + 1)
Let u(b) = 3*b**3 - 17*b**2 - 18*b. Let s(x) = -20*x**3 + 120*x**2 + 125*x. Let d(c) = -2*s(c) - 15*u(c). Factor d(m).
-5*m*(m - 4)*(m + 1)
Let j be 150/140*168/120. Factor -j*s**2 - 30*s - 150.
-3*(s + 10)**2/2
Suppose r = 5*t - 156, 0*t - 148 = -4*t - 5*r. Solve 92*x**3 + 4 + 28 - 32*x**5 - t*x**4 - 16*x**3 - 112*x + 56*x**2 + 12*x**5 = 0 for x.
-2, 2/5, 1
Suppose 36*x**2 - 2*x**3 - 14*x + 0*x**3 - 7*x**3 + 6*x**3 - 46*x = 0. Calculate x.
0, 2, 10
Let s be (-28)/(-21)*-1*(-3)/(-2). Let l be (s + 2)/(18 - 14). Factor -2/3*w**2 - 2/3*w**4 + 0 + l*w - 4/3*w**3.
-2*w**2*(w + 1)**2/3
Let d(r) be the third derivative of -r**7/420 + r**5/60 + 7*r**3/6 + 18*r**2. Let m(s) be the first derivative of d(s). Factor m(k).
-2*k*(k - 1)*(k + 1)
Let m be (42/(-12))/7*4/(-82). Let b = m - -75/287. Solve 4/7*r**3 - 2/7*r**5 + 4/7*r**2 - 2/7*r**4 - b*r - 2/7 = 0 for r.
-1, 1
Suppose -2 - 4 = -3*o - t, -8 = -4*o - 3*t. Suppose 2*d + 3*d + 10 = 0, o*p + 2*d = 2. Factor -3*x + 5*x**3 - 3*x**4 - 3*x + x**p + 3.
-3*(x - 1)**3*(x + 1)
Factor 0*i + i**4 - 22*i**3 - 10*i**3 - 45*i**2 + 0*i + 36*i**3.
i**2*(i - 5)*(i + 9)
Let 1/7*z**2 + 160/7*z + 6400/7 = 0. Calculate z.
-80
Solve 74*m - 26*m**3 - m**4 - 75 + 48*m + 546*m**2 - 566*m**2 = 0 for m.
-25, -3, 1
Let d(z) be the third derivative of 0 + 0*z + 25/1176*z**8 - 1/12*z**4 - 13/147*z**7 + 1/105*z**5 - 1/21*z**3 - 14*z**2 + 23/210*z**6. Factor d(n).
2*(n - 1)**3*(5*n + 1)**2/7
Suppose -f + 4*n - 4 = 0, 4*f - 8 = -2*n + 30. Suppose 2*c + p = 4*c - f, 10 = -c - 3*p. Determine j, given that 8/7*j - 16/7 - 1/7*j**c = 0.
4
Factor 0*h + 2/15*h**4 + 0 + 0*h**2 - 4/15*h**3.
2*h**3*(h - 2)/15
Let t = 37 - 19. Factor -4*k**3 + t*k**2 + 17*k**2 - 31*k**2.
-4*k**2*(k - 1)
Let p(a) be the first derivative of 0*a + 3*a**3 - 3*a**2 - 3/4*a**4 + 2. Factor p(i).
-3*i*(i - 2)*(i - 1)
Let h(t) be the second derivative of 0 - 3/4*t**2 - 13*t - 5/24*t**4 - 1/40*t**5 - 7/12*t**3. Factor h(c).
-(c + 1)**2*(c + 3)/2
Let n(c) be the second derivative of -c**6/75 + c**5/25 + 2*c**4/15 - 2*c**3/15 - 3*c**2/5 - 15*c + 11. Determine s, given that n(s) = 0.
-1, 1, 3
Let y(i) = -11*i**2 - 6*i. Suppose b + 2*a + 6 = 0, -3*a = 3*b + 2*a + 18. Let q(j) = -45*j**2 - 25*j. Let k(p) = b*q(p) + 25*y(p). Factor k(f).
-5*f**2
Let i(v) = -4*v**2 - 5*v - 3. Let h(b) = -8*b**2 - 11*b - 5. Let p(w) = 3*w - 6. Let u be p(3). Let s(g) = u*h(g) - 5*i(g). Factor s(r).
-4*r*(r + 2)
Let r(u) be the first derivative of u**4/14 - 2*u**3/7 - 6*u**2/7 + 16*u/7 + 31. Let r(m) = 0. Calculate m.
-2, 1, 4
Let x = -49/6 + 269/30. Let s(q) be the second derivative of 11/15*q**6 + 4*q - 2/3*q**4 + 1/7*q**7 + x*q**5 + 0 + 0*q**3 + 0*q**2. Factor s(z).
2*z**2*(z + 2)**2*(3*z - 1)
Let r = -150992/945 - -4132/27. Let k = r - -50/7. Factor -2/5*y + k*y**2 + 0.
2*y*(y - 1)/5
Let z = -1035/182 - -99/14. Let z + 30/13*p + 14/13*p**2 + 2/13*p**3 = 0. Calculate p.
-3, -1
Suppose -10*b - 8 = -28. Suppose -5*w**2 + 2*w**2 - 10*w - 8 + 18*w + w**b = 0. What is w?
2
Let j = 700 + -697. Let v(r) be the second derivative of -7*r + 14/3*r**j + 1/5*r**5 - 6*r**2 - 5/3*r**4 + 0. Factor v(d).
4*(d - 3)*(d - 1)**2
Let g(n) = n**3 + 6*n**2 - 9*n + 1. Let r be g(-7). Factor 20*s**2 - r*s + 528*s**4 - 516*s**3 + 199*s**2 + s - 28*s - 192*s**5 + 3.
-3*(s - 1)**2*(4*s - 1)**3
Let y = -2/1101 + 1111/5505. Let f(k) be the second derivative of 1/20*k**4 + y*k**3 + 3/10*k**2 + 7*k + 0. Solve f(q) = 0 for q.
-1
Solve -46/11*o - 2/11*o**3 - 2/11*o**4 + 20/11 + 30/11*o**2 = 0.
-5, 1, 2
Let l(q) = -2*q**3 - q - 1. Let u(a) = -a**3 + 40*a**2 - 65*a + 10. Let g(x) = 12*l(x) - 3*u(x). Factor g(c).
-3*(c - 1)*(c + 7)*(7*c - 2)
Let l be (14/2793*21)/((-1)/(-19)). Solve -1/7*g**l + 1/7*g**3 + 1/7 - 1/7*g = 0.
-1, 1
Let h(m) be the first derivative of m**4 - 64*m**3/3 - 34*m**2 - 678. Factor h(o).
4*o*(o - 17)*(o + 1)
Solve 116/7*q - 12/7*q**4 + 16/7 + 10/7*q**3 + 122/7*q**2 = 0 for q.
-2, -1, -1/6, 4
Let x(b) = 8*b + 47. Let l be x(-12). Let h = l - -51. Factor 64/7*g + 32/7 + 48/7*g**h + 16/7*g**3 + 2/7*g**4.
2*(g + 2)**4/7
Let k(g) be the third derivative of -7/4*g**5 - 2*g**3 + 0*g + 0 + 11*g**2 + 5/16*g**6 + 11/4*g**4. Factor k(s).
3*(s - 2)*(5*s - 2)**2/2
Let j(v) be the first derivative of v**5/15 + 7*v**4/12 + 2*v**3 - 3*v**2/2 + 6*v - 8. Let h(x) be the second derivative of j(x). Find f such that h(f) = 0.
-2, -3/2
Let n(q) = 2*q**4 + 10*q**3 + 20*q**2 + 16*q + 6. Let b(g) = g**2 + g + 1. Let k(w) = -2*b(w) + n(w). Factor k(j).
2*(j + 1)**3*(j + 2)
Let x(q) = -q**3 + 12*q**2 - 12*q + 13. Let i be x(11). Let 25 - 95*k + 69*k**3 + 29 + 15*k**4 - 58*k + 15*k**i = 0. Calculate k.
-3, 2/5, 1
Factor 64*f**2 + 5 - 15*f - 16*f**4 - 3 - 4*f**5 + 79*f - 2.
-4*f*(f - 2)*(f + 2)**3
Let q(r) = -4*r**4 - 54*r**3 - 171*r**2 + 126*r + 88. Let b(i) = -2*i**4 - 27*i**3 - 86*i**2 + 63*i + 43. Let k(l) = 5*b(l) - 3*q(l). Factor k(y).
(y - 1)*(y + 7)**2*(2*y + 1)
Let d(y) be the third derivative of -2/105*y**7 + 0*y**4 + 0*y**3 + 0*y**6 + 0*y + 0 + 0*y**5 - 22*y**2. Factor d(h).
-4*h**4
Factor 0 + 2/13*f**4 - 20/13*f + 12/13*f**3 + 6/13*f**2.
2*f*(f - 1)*(f + 2)*(f + 5)/13
Suppose -66 = -2*o - o. Suppose 22*g**2 + g**3 - 48*g + o*g**2 + 4*g**5 - 5*g**3 - 12*g**4 + 16 = 0. What is g?
-2, 1, 2
Let z be (-60)/39*(472/40 - 12). Let 14/13*l**4 - 6/13*l**3 - 14/13*l**2 + 10/13*l**5 - z*l + 0 = 0. What is l?
-1, -2/5, 0, 1
Let f(r) = -r**3 + 43*r**2 - 153*r - 117. Let d be f(39). Factor -3/4*w**4 + d - 9/2*w**3 - 6*w - 9*w**2.
-3*w*(
|
{
"pile_set_name": "DM Mathematics"
}
|
late the remainder when w is divided by 5.
4
Suppose -5 = w + 2*s - 116, -4*w = -s - 426. Calculate the remainder when w is divided by 27.
26
Let p be -28 + -3 + (-1 - 2). Let u = p + 55. What is the remainder when 33 is divided by u?
12
Suppose -2*s + 3*o - 2*o = -34, -5*s = 5*o - 85. Suppose s*v - 156 = 11*v. What is the remainder when v is divided by 14?
12
Suppose -4*f + 141 = 25. Let l(y) = 8*y - 485. Calculate the remainder when f is divided by l(62).
7
Suppose 4*y = -3*j + 33, -j = -4*y - 24 + 45. Let k = 50 - 29. Calculate the remainder when k is divided by y.
3
Let d(n) = n**2 + 11*n + 26. Let u be d(-6). Calculate the remainder when 39 is divided by (-20)/u - 9/(-3).
7
Suppose 24 = 2*g + 2*g + 4*l, -5*g - 3*l + 32 = 0. Suppose -g*z - 4*z = -143. Calculate the remainder when 75 is divided by z.
10
What is the remainder when 53 is divided by (-10 + 352/40)*-15?
17
Let r(d) = -3*d - 2. Let u(c) = -2*c**3 + 38*c**2 - 33*c - 51. Calculate the remainder when r(-2) is divided by u(18).
1
Suppose -36*i - 3*i = -936. What is the remainder when i is divided by 8?
0
Suppose -37 = -4*x + 27. Suppose 4*q = -0*q. Let n = x - q. Calculate the remainder when 63 is divided by n.
15
Let c = -172 + 194. Suppose -2*j + 5*s = j - 21, 3*s + 9 = 0. Suppose 0*y - 2*y + 121 = -w, j*w = -3*y + 199. What is the remainder when y is divided by c?
19
Suppose -2*w - 3*b = -22, -11 + 35 = 4*w + b. Suppose 0 = -13*h + w*h + 1744. What is the remainder when h is divided by 17?
14
Let c(u) = -u - u + 25 + 6. Calculate the remainder when 24 is divided by c(12).
3
Let o(k) = -235*k + 1. Let q be o(-1). Let s = -162 + q. Suppose 305*i - 301*i = 3*r + 97, -2*i + 51 = r. Calculate the remainder when s is divided by i.
24
Suppose 7*p - 45 = -185. Let r = 23 + p. Let i = 18 - 10. What is the remainder when i is divided by r?
2
Let v(i) = -2*i - 4. Let p be v(-5). Suppose 7*c - 13 = 6*c. What is the remainder when 3/p - 194/(-4) is divided by c?
10
Let n = 7 - 4. Let s(z) = -z**2 + 6*z + 6*z + z - 5*z - 7. What is the remainder when s(n) is divided by 3?
2
Suppose -2*a - 2*f + 1044 = 0, 5*a + f - 3*f = 2631. What is the remainder when a is divided by 24?
21
Let q(c) = -3*c - 9. Let f(r) = r + 1. Let k(i) = 4*f(i) + q(i). Let j be k(4). Calculate the remainder when 22 is divided by 0 - -3 - (-8 + j).
10
Let n be -3*1/(-9)*-3. Let k = 6 - n. Suppose -2*i = 2*d - 32, -2*d - 4*i + 40 = -0*d. Calculate the remainder when d is divided by k.
5
Suppose -53 - 99 = -4*t. Suppose -12 = -o + 4*p + t, -5*o - p = -208. Let l = 16 + -5. Calculate the remainder when o is divided by l.
9
Let u be (170/3)/((-9)/27). Let x = -101 - u. What is the remainder when x is divided by 14?
13
Let a = 52 - 51. What is the remainder when 30 is divided by a - -5 - (-4 - -6)?
2
Let f = 571 - 566. Suppose -5*k = -3*h - 13, 0 = k + 3 - 8. Calculate the remainder when f is divided by h.
1
Suppose 0 = 5*y + 4*x - 512, -y + 5*x + 485 = 4*y. Let p = -39 + 56. Calculate the remainder when y is divided by p.
15
Suppose 0*v + 2*v = -8. Let n be 2384/36 - v/(-18). Suppose -2*j + n = j. Calculate the remainder when j is divided by 13.
9
Suppose -92 = 3*z - 164. Suppose z = 2*j + j. Let k(s) = 2*s**2 + 2*s - 1. What is the remainder when k(-5) is divided by j?
7
Suppose q - 26 = -5*b, q + 19 = -b + 5*b. Suppose 0 = -b*a + 48 - 33. What is the remainder when 10 is divided by a?
1
Suppose -33*g + 29*g + 48 = 0. Suppose 7*y = -g + 194. What is the remainder when y is divided by 14?
12
Suppose -6 = -2*d - 4*y, -39*d + 38*d + 4*y + 9 = 0. Let j = 38 - -6. Suppose 0*t - j = -2*t. What is the remainder when t is divided by d?
2
Let z(t) = -t**2 + 43*t - 135. Calculate the remainder when z(5) is divided by 12.
7
Calculate the remainder when 409 is divided by 212/8 - -2 - 4/8.
17
Let r(x) = -x + 9. Let a be r(-8). Suppose -l = 4*o - a, 0*l - 3*o + 19 = 2*l. What is the remainder when 13 is divided by l?
3
Suppose 0 = 5*d - 4*k - 57, 3*k - 50 + 44 = 0. What is the remainder when 791 is divided by d?
11
Suppose -4 = 10*t - 12*t. Let q be 11 + 1 - (0 + t). Suppose 3*b + 2*y = -2*y + 37, 0 = 5*y + q. Calculate the remainder when 43 is divided by b.
13
Suppose 0 = -2*v - 3 - 7, 5*w + 3*v - 70 = 0. Let i = -13 + w. What is the remainder when 17 is divided by i?
1
Let h be (-7)/((-7)/(-3)) + 7. Suppose -4*i - h = 0, -2*u = -u - i - 17. What is the remainder when 60 is divided by u?
12
Suppose -6*w + 2*w = 0. Suppose w = p + p - 12. Suppose 2*n + 5*m = 50, 2*n - 2*m - 12 = 10. What is the remainder when n is divided by p?
3
Let m(k) = k**2 + 103*k - 526. What is the remainder when 687/5 - (-4)/(-10) is divided by m(5)?
11
Let z(w) = 16*w**2 - 6*w**2 - 11*w**2 - 2*w + 2 - w. Let s be 2*9/6*-1. Calculate the remainder when 4 is divided by z(s).
0
Let h be -1 + 4 - (28/7 + -2). Calculate the remainder when 3*4/(-6) - (-22 - h) is divided by 7.
0
Suppose 258 = 21*w - 120. What is the remainder when 194 is divided by w?
14
Calculate the remainder when 9/((-630)/(-21010)) + 12/14 is divided by 19.
16
Let s = 116 - 111. Suppose -s*v + 96 = -3*t, -v + t + 18 = -0*v. Calculate the remainder when 57 is divided by v.
15
Suppose -3*x + 618 = -3*w, -5*x + 9*x = 2*w + 824. Calculate the remainder when x is divided by 49.
10
Let c = -144 + 249. Let n(d) = -222*d - 1518. Calculate the remainder when c is divided by n(-7).
33
Let k be 2/((-28)/(-20) - 1). Suppose -4*f - k*s + 34 = -f, -5*f + 3*s = -68. Let c(o) = o**2 - 5*o - 6. Calculate the remainder when f is divided by c(7).
5
Let h be 6 - 4 - (0 - 244). Suppose h = -0*f + 2*f. Let a = -1589 + 1620. What is the remainder when f is divided by a?
30
Let r(y) = 4*y**2 - 7*y + 19. What is the remainder when 878 is divided by r(4)?
53
Let i = 86 + -46. Suppose 3*v - i = -v. Suppose 0 = 5*y - 3*a - v, -3*a + 6*a + 8 = 4*y. What is the remainder when 3 is divided by y?
1
Let z be (7 + (-69)/(-12))/((-2)/8). Let c = z - -125. What is the remainder when c is divided by 19?
17
Suppose -5*a - 150 = -3*x - 2, 4*x - 206 = -2*a. What is the remainder when 150 is divided by x?
48
Suppose 2*w = -s + 6, s + 1 + 2 = w. Let k = 8 - w. Suppose -4*h + 65 = 3*z, k*z + 3 = -3*h + 38. What is the remainder when 79 is divided by h?
19
Suppose 201*h - 198*h - 36 = 0. What is the remainder when 45 is divided by h?
9
Suppose 0 = 2*v - 2, -5*r - v - 14 = -0*v. Calculate the remainder when 2 is divided by 3 - r/(-9)*3.
0
Let y be 28 + (-6 + 4 - 0). Let m = y + -6. What is the remainder when m is divided by 6?
2
What is the remainder when (-9694)/(-148) - 2/(-4) is divided by 25?
16
What is the remainder when (426/(-4))/(187/22 + -10) is divided by 12?
11
Let a(z) = 5 + 8*z - 5*z**2 + z + z**3 - 5*z. Calculate the remainder when 18 is divided by a(4).
3
Suppose 5*i = -v + 21, 4*v + i - 6*i = -16. Suppose 3*w - v = -5*b + 74, 2*b - 30 = -4*w. What is the remainder when 41 is divided by b?
11
Suppose -3*g = -5*u + 161, u - 4*g - 13 = 9. Suppose 0 = -4*t - 2*h + u, -t = 5*h - 5 - 8. Calculate the remainder when 23 is divided by t.
7
Suppose -3*i - 1 = 4*f - 33, 2*f - 2 = 2*i. Suppose 4*x - 27 = 3*a, -9*a + 11*a = 2*x - 14. Calculate the remainder when x is divided by f.
1
Suppose 11 - 59 = -3*g. What is the remainder when 254 is divided by g?
14
Let g = -584 - -738. What is the remainder when g is divided by 80?
74
Let q(y) = -y + 102. Suppose 0 = 2*p - 19*p + 459. What is the remainder when q(0) is divided by p?
21
Let k(u) = -u**3 + 12*u**2 - 6*u - 10. Suppose 4*q = -2*n + 718, -3*q + 11*n + 536 = 12*n. What is the remainder when q is divided by k(11)?
42
Let z = -86 + 114. What is the remainder when 77 is divided by z?
21
Calculate the remainder when ((-18)/8)/3 - 5139/(-36) is divided by 18.
16
Let a = 18 + 4. Let z = -11 + a. Calculate the remainder when (-6 - -4) + (2 - -41) + 0 is divided by z.
8
Let j be 5*(0 - 24/15). Let n(x) = -3 - 10*x - 7*x**2 - 12 + 5 + 6*x**2. Calculate the remainder when 22 is divided by n(j).
4
Suppose -122*t + 105*t = -493. Let z(h) = 3*h - 1. Let c be z(-3). Calculate the remainder when t is divided by ((-8)/(-5))/((-2)/c).
5
Let t be -3 + 1 + 0/5. What is the remainder when 2*1 + 2*(-155)/t is divided by 40?
37
Suppose -2 = -2*r, -37 - 40 = -2*d + 5*r. Calculate the remainder when 284 is di
|
{
"pile_set_name": "DM Mathematics"
}
|
ppose -5*w - 4*p = -2*w - 130, 0 = -4*w - 5*p + 174. Is 13 a factor of w?
False
Let d = 19 - -93. Does 28 divide d?
True
Let c(w) = w**2 + 11*w + 1. Let j be c(-8). Let o be (-4)/(-8) - j/(-2). Let n = 20 + o. Is n a multiple of 9?
True
Let g = -49 + 133. Let u = g - 39. Suppose 5*y - u = -0*y. Is 8 a factor of y?
False
Let i(r) = 10*r**2 + 3*r - 5. Let p be i(5). Suppose -5*t - 4*q = -p, 2*t - q - 101 = -2*q. Is t a multiple of 12?
True
Let t = 84 + -46. Let o = -6 + 29. Let m = t - o. Is 15 a factor of m?
True
Let z(w) = 4*w - 1. Let k be z(4). Suppose -3*s + 18 = -k. Is 11 a factor of s?
True
Suppose 3*y - 6*y + 2*s + 16 = 0, 10 = 5*y + 5*s. Suppose -y*u + 406 = 150. Suppose 0*x - 4*x + u = 0. Is x a multiple of 6?
False
Let j(c) = c**2 + 8*c - 2. Suppose r - 13 = -0*q + q, -22 = q - 4*r. Is 5 a factor of j(q)?
False
Suppose 5*w + 343 = -3*n + 1322, 2*n - 658 = 2*w. Does 42 divide n?
False
Suppose -5*u + 2*u - 240 = -3*p, 160 = 2*p - u. Is 13 a factor of p?
False
Suppose -12*z = -6*z - 1512. Does 19 divide z?
False
Let v be -1 + (0 - -99*1). Let q = 180 - v. Is 35 a factor of q?
False
Let w(l) = 2*l**3 - 3*l**2 + 4. Let u be (3 + -2)/((-1)/(-3)). Let g be 2/u*(-81)/(-18). Does 11 divide w(g)?
False
Suppose -17 = 2*p - 105. Does 22 divide p?
True
Suppose 0 = -3*t, -3*j + t + 329 = -31. Is j a multiple of 30?
True
Let a = 5 - 0. Let d = 42 - a. Is d a multiple of 10?
False
Suppose s - 143 = -0*s. Does 13 divide s?
True
Suppose -445 = -5*q + h, 3*q - h + 6*h = 295. Is 30 a factor of q?
True
Let b be (-115)/(-30) + (-2)/(-12). Suppose b*f = -3*i + 28, 5*i - 10 = -2*f + 18. Suppose 28 - 8 = f*d. Is d even?
False
Suppose 3 = i - m, -2*i - 4*m = -0*m - 6. Suppose -62 = -i*h - j + 5*j, 0 = -3*h + 3*j + 60. Is 5 a factor of h?
False
Let l = 145 - 91. Does 18 divide l?
True
Suppose -5*s - 4*z + z = -149, 4*z = -2*s + 54. Suppose k = -1 + s. Does 15 divide k?
True
Suppose 3*a - 1 = 11. Suppose -5 = c, a*c + 3 = -2*b + c. Let w = b - -2. Does 4 divide w?
True
Let a(o) = o**3 + 8*o**2 + 2*o - 7. Is 9 a factor of a(-4)?
False
Let t be 1544/24 - 4/(-6). Suppose -6*y = -y - t. Is 3 a factor of y?
False
Suppose -26*x = -29*x + 120. Does 13 divide x?
False
Let r be (-5 + 1/1)*2. Is 7 a factor of 1*(1 - 2) - r?
True
Let v = 91 - 7. Does 28 divide v?
True
Suppose 3*t + k = -26, -4*t + 2*k - 25 - 3 = 0. Does 11 divide (t - -10) + (-20)/(-1)?
True
Suppose -5*z = q - 48, 0 + 6 = 2*z - 4*q. Is 6 a factor of z?
False
Is 1504/20 - 2/10 a multiple of 25?
True
Let t = 377 - 126. Is t a multiple of 24?
False
Suppose 53*q = 51*q + 182. Is 7 a factor of q?
True
Suppose -2*t + 62 + 98 = 0. Is 18 a factor of t?
False
Suppose -3*n + 0 = -s - 1, -s + 5 = 3*n. Is 3/n - (-24 - 4) a multiple of 18?
False
Let k(u) = -2*u + 1. Let p be k(-4). Suppose -p - 15 = -3*h. Is 4 a factor of h?
True
Let y(a) = -a**3 + 7*a**2 - 4*a. Is y(5) a multiple of 3?
True
Suppose 4*q = -0*q - 36. Let k be -2 - q - (-2)/(-1). Suppose -3*i + 43 = 2*i + 2*l, 5*l - 55 = -k*i. Is 7 a factor of i?
True
Let s(q) = -q**2 - 9*q - 2. Let x be s(-8). Suppose -40 = -5*v + v. Let p = v + x. Does 15 divide p?
False
Let c = -3 - -2. Let n be -2*2*c/2. Suppose -n = -2*j + 26. Is j a multiple of 11?
False
Let x be (4 - (-14)/(-4))*166. Suppose z - m = 95, 0*z - z = 2*m - x. Does 19 divide z?
False
Let p = -134 + 233. Does 9 divide p?
True
Let t(j) = j**2 - j + 48. Let i be (-14)/(-4)*8/14. Suppose -i*o = -3*z - 5*o, 4*z - 3*o = 0. Is t(z) a multiple of 19?
False
Let v(n) = 1 - 2*n**3 + n**3 + 0*n**3. Let f be v(-2). Does 11 divide 178/f + (-2)/(-9)?
False
Suppose -c - 616 = -4*u - 5*c, 2*u = 3*c + 333. Suppose u = 3*l + 21. Suppose -3*f + l = -11. Is 7 a factor of f?
False
Suppose -4*g + 25 = 9. Suppose 14 = g*v - 38. Let s = -8 + v. Does 5 divide s?
True
Suppose -o = 5*a - 5*o - 20, 2*a - 2*o = 10. Suppose x + a - 8 = 0. Is x a multiple of 7?
False
Let r(i) = 5*i + 4*i**2 + 3 - 2*i**2 - i. Does 13 divide r(4)?
False
Let r(d) = 19*d**2 + 2*d - 1. Suppose 3*z + 17 = 2*z - 3*y, -4*y - 21 = z. Let g be 6/5 + 1/z. Is r(g) a multiple of 7?
False
Let m = -9 - -13. Let g = m - 0. Is g even?
True
Let k be 3 + (1 - (5 + -3)). Is 27 - -4 - (-2)/k a multiple of 8?
True
Suppose 23*b - 234 = 22*b. Is b a multiple of 49?
False
Let t = -5 + 9. Suppose 9 = -t*r - 15. Is r/30 + 241/5 a multiple of 21?
False
Let q = -51 + 77. Is q a multiple of 8?
False
Suppose -3*n = 10*n - 3497. Is n a multiple of 15?
False
Suppose 58 = 3*n - 98. Suppose -2*c = 5*s - n, -5*c + 9*s + 130 = 4*s. Is c a multiple of 13?
True
Let b(n) = 7*n + 2. Let m(r) = -13*r - 4. Let a(z) = 11*b(z) + 6*m(z). Does 8 divide a(-10)?
True
Does 2 divide ((-2)/5 - -1)/((-23)/(-115))?
False
Let j(r) = 15*r**2 - r. Let v be j(-1). Suppose 0 = -2*o + 40 + v. Suppose 4*z + 3*t - 18 = 13, 4*t - o = -2*z. Does 4 divide z?
True
Let z be 8/12 + (-25)/(-3). Suppose 0*b + z = -3*b. Is (b + 4)/(1/6) a multiple of 3?
True
Let d(s) = s - 1. Let z be d(5). Let a(n) = -n**2 + 7*n. Is a(z) a multiple of 6?
True
Suppose -124 = -5*c - 44. Let i = c + -10. Is 3 a factor of i?
True
Let g be 5 + 0 - (1 + 1). Suppose g*j - n - 110 = -3*n, -5*n - 162 = -4*j. Is j a multiple of 19?
True
Suppose -3*o + 0*o + 962 = -h, 3*h + 326 = o. Is o a multiple of 43?
False
Let h(q) = -2*q**3 - 9*q**2 + 4*q + 4. Is h(-7) a multiple of 13?
True
Let f = 2 - 0. Let q be 10/4*272/20. Suppose -3*r + f*r = -q. Does 17 divide r?
True
Suppose -b = 2*b - 12. Let m(a) = 2*a**2 - 5*a + 4. Let p be m(b). Suppose -56 = -s - p. Does 20 divide s?
True
Suppose 162 = 4*k - 50. Let x = k + -21. Is (x + 1)/(9/6) a multiple of 11?
True
Let r(j) = -j**2 + 7*j - 3. Let f be r(6). Let v(w) = -f*w + 4*w**2 + w + 5*w + w**3. Is v(-2) a multiple of 2?
True
Let p(q) = -q - 15. Does 3 divide p(-18)?
True
Let m(i) = i**3 + 7*i**2 + 7*i + 11. Let q be m(-6). Suppose 2*j - 97 = -q*o, 7 = -3*j - 3*o + 130. Is j a multiple of 12?
True
Let y(c) = c**2 - 4*c - 4. Does 5 divide y(7)?
False
Suppose -h = 3*h - 12. Let b(g) = -g**3 + 6*g**2 - 4*g - 1. Is b(h) a multiple of 4?
False
Let o(z) = -3*z. Let x be o(-2). Let m(a) = 2 - 2*a**2 + 3*a + 2*a**2 - x*a**2 + a**3. Is m(6) a multiple of 20?
True
Suppose 0 = -v + 4*y - 22, 2*v - 3*y = 7*v + 87. Is v/(0 - (-6)/(-8)) a multiple of 15?
False
Let b = -4 + -1. Let a(d) = d**3 + 6*d**2 + 2*d - 1. Is a(b) a multiple of 7?
True
Suppose p - 146 = 28. Suppose -5*k + 3*g = -p, 4*k - 2*g + 43 = 181. Does 20 divide k?
False
Suppose 0 = 6*x - 4*x + 5*f - 61, -4*x = -3*f - 57. Let i = x - 10. Is i a multiple of 4?
True
Let s = 10 - 5. Suppose -357 = -3*v + 123. Suppose -s*o + v = -0*o. Is 16 a factor of o?
True
Suppose -6 = 4*v - 22. Suppose 0 = -3*o - r + 94 + 238, 5*o + 4*r = 558. Suppose -v*t + o = t. Is 11 a factor of t?
True
Let g(v) be the third derivative of -2/3*v**3 + 0*v + 1/6*v**4 + 1/12*v**5 + 0 - 3*v**2 - 1/120*v**6. Does 13 divide g(3)?
True
Suppose 4*i = -2*d - 6, 0*i - 37 = -5*d + 3*i. Suppose d*y + 5 = 6*y. Is 3 a factor of y?
False
Suppose 2*v = 3*v - 29. Is v - (1 + (-1)/(-1)) a multiple of 9?
True
Let c = -41 + 62. Let s = -1 - c. Is 1 + 1 + -1 - s a multiple of 12?
False
Let i = -30 + 85. Does 7 divide i?
False
Let h be ((-5)/3)/((-3)/(-45)). Let k = 62 + h. Is 13 a factor of k?
False
Let q(s) = -5*s - 8. Let f(t) = 2*t + 3. Let o(w) = -8*f(w) - 3*q(w). Let g(i) = -4*i. Let c(m) = -2*g(m) + 9*o(m). Does 3 divide c(-5)?
False
Suppose -3*f + 8 = -2*h, 0 = 2*h - 4*h - 2. Does 2 divide (-9)/(-12)*(f - -10)?
False
Let l be 6/(1/(18/4)). Suppose -l - 18 = 5*a. Let w = 24 + a. Does 6 divide w?
False
Let v = -64 + 95. Let j be (-3)/6 - 13/2. Let y = v - j. Does 19 divide y?
True
Is (0 - -3)*(16 - 2) a multiple of 6?
True
Let b = 10 + -5. Suppose -25 - 50 = -b*n. Is n a multiple of 9?
False
Let r(i) = i**2 + 17*i - 1. Let p be r(-8). Let s = p + 164. Does 25 divide s?
False
Let i = 0 - -8. Does 8 divide i?
True
Let r(t) be the second derivative of -t**4/12 - t**3 + 7*t**2/2 - 3*t. Let f be r(-7). Let c(n) = n + 16. Is c(f) a multiple of 8?
True
Suppose -2*w = -21 - 29. Does 10 divide w?
False
Suppose 3*o - o = -10. Let q = 20 - o. Is 9 a factor of q?
False
Let z = 11 - -8. Suppose 2*n - 67 = -z. Is 8 a factor of n?
True
Let i = 9 + -7. Let k be i/4 - 70/(-4). Suppose -5*d + k = -57. Is 15 a fac
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{
"pile_set_name": "DM Mathematics"
}
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0*h**3 + 0*h**4 + 0*h. Calculate v(q(m)).
-20*m**4
Let o(q) = 1145802897*q**2. Let j(n) = 2*n. What is j(o(k))?
2291605794*k**2
Let g(i) = 40*i**2. Let k(c) be the first derivative of -c**4/12 - 62*c - 3. Let n(q) be the first derivative of k(q). Calculate g(n(j)).
40*j**4
Let v(u) = -2665*u. Let k(y) = 3*y**2 - 168. What is v(k(h))?
-7995*h**2 + 447720
Let o(u) = 2*u. Suppose 0 = -5*f - 23*f + 672. Let q(t) = 27*t**2 - f*t**2 + 12*t**2. Determine q(o(m)).
60*m**2
Let a(x) = 14*x**2. Let m(c) = -342*c**2 + 7*c - 320. What is m(a(b))?
-67032*b**4 + 98*b**2 - 320
Let x(i) = 21*i**2. Let z(v) = -104*v**2 - 223*v**2 + 211*v**2 - 251*v**2 - 150*v**2. Determine x(z(w)).
5613069*w**4
Let y(k) = 1129*k - 602. Let i(f) = -2*f + 3. Calculate y(i(j)).
-2258*j + 2785
Let a(x) = 674*x + 751*x - 1425*x - 3*x**2. Let j(m) = -724*m. Calculate a(j(p)).
-1572528*p**2
Let b(z) = -401*z + 9. Let n(u) = 4557*u. Calculate b(n(i)).
-1827357*i + 9
Let p(g) = 2*g**2 - g - 497. Let t(f) = -3*f + 4. Give p(t(q)).
18*q**2 - 45*q - 469
Let r(x) = -3*x. Let q(o) be the first derivative of 107*o**2/2 + 3*o + 5405. What is r(q(i))?
-321*i - 9
Let b = -667 + 693. Let d(a) = b + 26 + 28 + 10*a - 80. Let l(c) = 40*c**2. What is d(l(s))?
400*s**2
Let m(t) = -7861*t. Let j(r) = -4*r**2 + 1055*r - 1. Calculate m(j(p)).
31444*p**2 - 8293355*p + 7861
Let m(l) = -22*l**2. Let g(t) = -9274*t + t**2 + 9274*t. Determine g(m(p)).
484*p**4
Let q(h) = 57*h**2 - 3*h. Let x(t) be the third derivative of 7*t**5/60 + 6*t**2 - 8*t. Determine q(x(a)).
2793*a**4 - 21*a**2
Let u(c) be the second derivative of -2*c**4/3 + 422*c + 1. Let y(q) = -q + 8. Give y(u(v)).
8*v**2 + 8
Let r be (2 + 0/(-8 + 5))*1. Let t(s) = 86*s**r - 41*s**2 - 46*s**2. Let w(h) = -401*h**2. Calculate w(t(f)).
-401*f**4
Let b(v) = -101*v + 307*v - 100*v - 104*v. Let j(f) = -2*f**2 + 586*f. Calculate j(b(u)).
-8*u**2 + 1172*u
Let y(r) = r**2 - 16*r + 87. Let w be y(17). Let l(x) = -8 + 2 + w*x + 6. Let m(j) = 2*j**2. Give l(m(b)).
208*b**2
Suppose 295 = 4*g - 257. Let n(l) = g*l**2 - 63*l**2 - 73*l**2. Let y(c) = 12*c**2. What is n(y(f))?
288*f**4
Let a(q) = 3569972 + 32*q - 3569972. Let t(v) = 505*v**2. What is t(a(b))?
517120*b**2
Let p(n) = -3*n - 48. Let t(i) be the third derivative of 13*i**5/60 - 974*i**2 + 1. Give p(t(o)).
-39*o**2 - 48
Let n(r) be the second derivative of r**4/12 - r**3/2 + 6*r. Let m(p) = -p**2 + 4*p. Let w(z) = 3*m(z) + 4*n(z). Let d(y) = 14*y**2. Calculate w(d(j)).
196*j**4
Let n(y) = -4*y. Let a(h) = 70312*h**2 + 55. Give a(n(s)).
1124992*s**2 + 55
Let u(a) = 29*a**2 + 57*a**2 + 62*a**2 - 146*a**2. Let n(i) = 4*i**2 + 4*i - 139. Give n(u(b)).
16*b**4 + 8*b**2 - 139
Let z(b) = -2*b**2. Let p(o) = 3*o**3 - 2*o**2 - 4*o + 12. Let j be p(3). Let y(q) = j*q**2 + 84*q**2 - 76*q**2. Determine y(z(r)).
284*r**4
Let v(z) = 6*z**2. Let g(x) = 820823*x - 10. Calculate g(v(b)).
4924938*b**2 - 10
Let v(m) = 4128*m. Let r(d) be the third derivative of d**5/30 - 7*d**2 - 83. What is r(v(t))?
34080768*t**2
Let v(u) be the first derivative of -u**3/2 - 62*u + 20. Let h(t) be the first derivative of v(t). Let x(m) = -30*m. What is h(x(w))?
90*w
Let z(a) = -4*a**2. Let j(g) = 3*g + 8832 - 4275 - 4383. Determine j(z(w)).
-12*w**2 + 174
Let f(v) = -11*v. Let p = 3 - -4. Let u be (0 + 14/4)/((-725)/(-1450)). Let j(s) = p*s - u*s - s. Give f(j(a)).
11*a
Let t(v) = -2*v. Let q(m) = 11254*m - 4975*m - 12843*m - 2940*m. Calculate q(t(w)).
19008*w
Let n be (-1564)/(-276) + (-3 - 7/(-3)). Let m(x) be the third derivative of 0*x - 1/60*x**n + 0*x**3 + 0 - 3*x**2 + 0*x**4. Let t(h) = -5*h. Give t(m(o)).
5*o**2
Let p(i) = 915659*i. Let r(u) = -7*u. What is r(p(n))?
-6409613*n
Let y(k) = 3*k**2 + 2078. Let w(z) = -14*z + 1. Let c(j) = -114*j + 8. Let r(a) = c(a) - 8*w(a). Determine r(y(h)).
-6*h**2 - 4156
Let v(u) = 6*u**2 + 98. Let z(n) = 32897*n - 3. What is z(v(l))?
197382*l**2 + 3223903
Let y(p) = 264*p**2. Let c(b) be the first derivative of -b**6/180 - 37*b**3/3 + 63. Let t(x) be the third derivative of c(x). What is y(t(r))?
1056*r**4
Let h(n) = 3*n**2. Let j(q) be the first derivative of -4*q**3/3 + 40*q + 6908. Give j(h(y)).
-36*y**4 + 40
Let b(h) be the third derivative of h**4/12 + 4*h**2 + 31*h. Let o(s) be the second derivative of -5/3*s**4 + 0 + 6*s + 0*s**3 + 0*s**2. Give o(b(m)).
-80*m**2
Let j = 2108 - 2105. Let q(l) be the second derivative of 0 - 6*l + 0*l**2 + 19/12*l**4 + 0*l**j. Let b(c) = c. Give q(b(u)).
19*u**2
Let o(s) = -21*s. Let a(i) = 1325022*i**2. Give a(o(n)).
584334702*n**2
Let n(x) = -5455*x + 10912*x - 2 - 5459*x + 2. Let g(p) = -62*p + 21. What is n(g(j))?
124*j - 42
Let j(r) = -56*r**2. Let n(a) be the first derivative of 113*a**3 - 63*a**3 - 179 - 52*a**3. Give j(n(d)).
-2016*d**4
Let j(c) = 952*c**2. Let z(h) = 35*h**2 + 4*h. Determine z(j(s)).
31720640*s**4 + 3808*s**2
Let n(o) = -841*o. Let b(z) = -z**2 + z + 12. Let s(l) = 4*l**2 - 2*l - 24. Let r(x) = 2*b(x) + s(x). Give n(r(p)).
-1682*p**2
Let w(l) = -8*l. Suppose -4*i + s + 1 = 0, -31*s = i - 34*s - 3. Let o(t) = 608 - 4*t**2 + 0*t + i*t - 608. What is w(o(h))?
32*h**2
Let k(z) be the third derivative of -1/3*z**3 - 17/4*z**4 + 240 + 2*z**2 + 0*z. Let a(f) = f. Determine a(k(j)).
-102*j - 2
Let h(d) = -16*d. Let z(b) be the first derivative of -21*b**2/2 + 2605. Give h(z(t)).
336*t
Let d(w) = 2*w**2. Let b be (6 + -7 - (-2 - 34)) + 2. Let m(v) = -15*v**2 + b*v**2 + 16 - 10*v**2 - 9*v**2 - 69. Determine d(m(u)).
18*u**4 - 636*u**2 + 5618
Let k(d) be the first derivative of 8*d**3/3 - d**2/2 - 608. Let l(t) = 26*t. Give k(l(x)).
5408*x**2 - 26*x
Let i(w) = 12*w - 4. Let u(q) = q**2 + 2*q - 16675. Determine i(u(n)).
12*n**2 + 24*n - 200104
Let v(r) be the first derivative of r**5/12 + r**2/2 + 1. Let g(n) be the second derivative of v(n). Let s(y) = 27*y**2 - 44*y**2 + 19*y**2. Give g(s(i)).
20*i**4
Let l(z) = -38*z. Let b(m) = 9*m**2 + 6*m + 6. Suppose -15*w + 7*w = -48. Let p(d) = -26*d**2 - 17*d - 17. Let q(a) = w*p(a) + 17*b(a). Determine l(q(g)).
114*g**2
Let i(r) = -28*r + 409. Let a(d) = 13*d - 169. Let b(h) = 5*a(h) + 2*i(h). Let x(o) = 4*o**2. What is b(x(l))?
36*l**2 - 27
Let t(h) = -112*h**2 - 3. Let k(v) = 56*v + 1. Let z(m) = 4205*m + 75. Let o(y) = -150*k(y) + 2*z(y). Determine o(t(x)).
-1120*x**2 - 30
Let c(s) = -3*s + 5*s - 2*s + 3*s. Let z(u) be the second derivative of -u**4/8 - 7*u**2/2 - 6*u. Let l(q) be the first derivative of z(q). Calculate c(l(x)).
-9*x
Let w(l) = 23*l**2. Let s(p) be the second derivative of 2/3*p**4 + 0*p**2 + 0*p**3 + 12 + 2*p. Give w(s(b)).
1472*b**4
Let z(r) = 21*r. Let q(d) = 390*d**2. Let c(u) = -1098*u**2. Let o(k) = -3*c(k) - 8*q(k). What is z(o(j))?
3654*j**2
Let v(s) = -10 + 1633*s - 1642*s + 33. Let b(c) = -6*c**2. What is v(b(h))?
54*h**2 + 23
Let y(d) = -2*d**2. Let k(n) be the second derivative of 0*n**2 - 24 - 3*n - 27/2*n**3. Calculate y(k(a)).
-13122*a**2
Let j(m) = 34*m - 22. Let v(h) = h + 1478*h**2 - h - 1476*h**2. Determine j(v(f)).
68*f**2 - 22
Suppose -4*j = -u - 14, 4*u + 2*j - 8 = 8. Let w(d) = u*d - 4*d - 12*d - 30*d. Let f(n) = 3*n - n - n. Give f(w(z)).
-44*z
Let h(x) = -6260*x. Let g(y) = -6*y + 94. Calculate h(g(b)).
37560*b - 588440
Let q(l) = -7*l - 4. Let r(w) = -12*w - 8. Let p(y) = 3*y - 56. Let c be p(22). Let s(z) = c*q(z) - 6*r(z). Let o(j) = -331 - j**2 + 168 + 163. Give s(o(i)).
-2*i**2 + 8
Let q(p) = 71*p. Let r(s) = 15*s - 243. Give r(q(x)).
1065*x - 243
Let f(z) = 1466*z**2. Let n(g) be the first derivative of g**2/2 - 7834. What is n(f(b))?
1466*b**2
Let a(x) = -199299363*x**2. Let n(h) = -h. What is a(n(j))?
-199299363*j**2
Let f(x) = -233*x**2 + 5*x - 5. Let b(z) = 140*z**2 - 3*z + 3. Let q(g) = -10*b(g) - 6*f(g). Let h(a) = 550*a - 6. Give q(h(y)).
-605000*y**2 + 13200*y - 72
Let a(l) be the second derivative of l**7/1260 + l**4/12 + 88*l**3/3 + 135*l. Let m(s) be the third derivative of a(s). Let g(v) = 4*v + 30. Give m(g(h)).
32*h**2 + 480*h + 1800
Let a(g) = 628*g. Let i(j) = -33138*j**2. Give a(i(o)).
-20810664*o**2
Let g(m) = 2*m. Let x(u) = 28612*u**2 + 990*u. Give g(x(d)).
57224*d**2 + 1980*d
Let u(k) = 127*k. Let p(v) = -v**2 - 5*v + 2. Let c(t) = -15*t + 6. Let m(x) = c(x) - 3*p(x). Give m(u(n)).
48387*n**2
Let q = 0 - -2. Let n(b) = -q
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{
"pile_set_name": "DM Mathematics"
}
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p**2 - 20*p - 20. Give d*u(v) + j*m(v).
-4*v**3
Let z(f) = 736*f**2 - 828*f + 138. Let g(y) = y**2 + 6*y - 1. Determine -138*g(w) - z(w).
-874*w**2
Let z(v) = -5*v**3 + 3*v**3 + 4*v**3 - 5. Let w(m) = -m**3 + 2. Let u(d) = 2*d + 17. Let b be u(-8). Suppose -5*h + b + 9 = 0. Calculate h*z(i) + 5*w(i).
-i**3
Let c(u) = -u**2 + 1. Let p(r) = 53*r + 29. Let o be p(-1). Let x(f) = -40*f**2 + 24. What is o*c(b) + x(b)?
-16*b**2
Let i(r) = -4*r. Let c(j) be the second derivative of -7*j**3/2 - j**2/2 + 9*j - 2. Calculate 2*c(g) - 11*i(g).
2*g - 2
Let j(m) = m**2 - 4*m - 4. Suppose -f + 30 = 5*f. Let u(a) = f + 1 - 5*a - 11 + 2*a**2. What is 4*j(n) - 3*u(n)?
-2*n**2 - n - 1
Let z(g) = -4*g**2 - 10*g. Let x(d) = 4*d**2 + 8*d. Calculate 6*x(r) + 5*z(r).
4*r**2 - 2*r
Let a(q) = q**3 - 1. Let s(o) = -o**3 - 1. Let n = -614 + 615. Give n*a(b) - s(b).
2*b**3
Let p(w) = 0*w - 2*w - 2*w + 355 - 357. Let d(y) = -y - 1. Let l = 1 - 2. Give l*p(a) + 2*d(a).
2*a
Let q(i) = -2*i. Let x = -49 + 48. Let z(v) = -3*v - 2 + 1 + 4*v. Let j be z(x). Let c(h) = h**2 - 6*h. Give j*c(s) + 7*q(s).
-2*s**2 - 2*s
Let p(m) = -8*m**3 + m - 1. Let d(w) = -w**2 - 20*w + 123. Let u be d(-25). Let n(k) = -k**3 + k - 1. Determine u*p(t) + 2*n(t).
14*t**3
Let s = -2 + 10. Let c(g) = 2*g - 11*g + 10*g - 1 - 5. Let z(j) = -2*j + 17. Give s*c(m) + 3*z(m).
2*m + 3
Let d(z) = 3*z. Let p(k) be the second derivative of -2*k**3/3 - k. Let x = -264 + 178. Let v = x + 82. Give v*p(m) - 5*d(m).
m
Let y be (2/(-3))/(-1)*480/10. Let c = -37 + y. Let q(n) = n**2 + 2*n. Let u(i) = 2*i**2 + 4*i - 1. Calculate c*q(h) + 2*u(h).
-h**2 - 2*h - 2
Let x(c) = -c**2 - 3. Let p(m) = 7*m**2 - 74*m + 17. What is -p(i) - 6*x(i)?
-i**2 + 74*i + 1
Let w(k) = -5*k**3 - k**2 + k. Suppose 3*s + s = 36. Let i(c) = c**2 - 8*c - 2*c**2 + s*c - 4*c**3. Give 6*i(h) - 5*w(h).
h**3 - h**2 + h
Let l(h) = -295*h**2 + 3*h - 3. Let o(a) = 40710*a**2 - 413*a + 413. What is 413*l(q) + 3*o(q)?
295*q**2
Let o(b) = -9*b + 132. Let j(t) = 2*t - 4. Determine 2*j(z) + o(z).
-5*z + 124
Let u(k) = 7*k + 11. Let g(c) = 4*c + 3. Let z(l) = 5*l + 3. Let t(s) = 3*g(s) - 2*z(s). Let r = 13 + 9. Let j be 12*((-3)/2 - -1). What is j*u(v) + r*t(v)?
2*v
Let s(z) = 9*z**2 + 43*z - 2. Let y(v) = -26*v**2 - 134*v + 5. What is -11*s(c) - 4*y(c)?
5*c**2 + 63*c + 2
Let r(h) be the first derivative of 7*h**2/2 + h - 19. Let u(c) be the second derivative of 2*c**3/3 - 6*c. Suppose -n + 10 = -3*n. What is n*u(q) + 3*r(q)?
q + 3
Let v(u) = -u**2 + 1. Let t(d) = -28*d**2 + 35. Suppose 5*q + 45 = 4*q + 5*b, -4*b = 2*q + 62. Calculate q*v(m) + t(m).
7*m**2
Suppose -9 = -26*w + 17*w. Let c(a) = 4*a**2 + a + 3. Let b(k) = -k**2 - 1. Calculate w*c(n) + 5*b(n).
-n**2 + n - 2
Let p(n) = 2*n + 2. Let o(f) = -23*f + 3. What is -o(b) - 3*p(b)?
17*b - 9
Let m(f) = f**2 + 3*f**2 + 4*f + 0*f. Let k(j) = 3*j**2 - 3*j + 7*j - j. Suppose -12 + 2 = -2*g. Calculate g*m(v) - 7*k(v).
-v**2 - v
Let k be (-1 - -12) + (4 - 8). Let q(v) = -3*v - 3*v + 2*v + k*v**2 - 4 - 2*v. Let m(x) = 4*x**2 - 3*x - 2. Give -5*m(a) + 3*q(a).
a**2 - 3*a - 2
Let j(u) = -3*u + 4. Let w be 24/3 - (-4 + 3 + -2). Let a(o) = -7*o - 8*o - 7*o + w + 14*o. Give 6*a(g) - 17*j(g).
3*g - 2
Let h(x) = -2*x**3 - 6*x**2 + 2. Let d(c) = 1. Let n(g) = g**2 + 17*g - 17. Let f be n(1). Calculate f*h(j) - 2*d(j).
-2*j**3 - 6*j**2
Let n(h) = -4*h**2 - 5*h - 2. Let q(o) = 5*o**2 + 6*o + 1. Suppose 43 = -23*f - 95. What is f*n(a) - 5*q(a)?
-a**2 + 7
Let g(j) = -7. Let v(n) = 5. Let f(h) = -3*g(h) - 4*v(h). Let r(i) = i - 3. Calculate 3*f(w) + r(w).
w
Let b(y) = 5*y**2 - 11*y + 17. Let o(k) = -6*k**2 + 13*k - 16. What is 5*b(x) + 4*o(x)?
x**2 - 3*x + 21
Let y(g) = -5*g**2 + g + 5. Let f(o) = 11*o**2 - 2*o - 9. Calculate -6*f(i) - 13*y(i).
-i**2 - i - 11
Let x(k) = -9*k - 2. Let g(d) = -d**3 + 38*d**2 - 107*d + 77. Let p be g(35). Let b(v) = -28*v - 6. Determine p*x(f) - 2*b(f).
-7*f - 2
Let i be 3 - 7/(28/8). Let q(d) = d. Let b(p) = -p**2 - 21*p + 0*p + 19*p. Give i*b(x) + 4*q(x).
-x**2 + 2*x
Let v(d) = -4*d**2 + 15*d + 1. Let u(s) = 11*s**2 - 44*s - 4. Determine -3*u(z) - 8*v(z).
-z**2 + 12*z + 4
Let m(h) = -1. Suppose 0 = 73*n - 76*n + 6. Let r(d) = d**2 - 10*d + 10. Let x be r(9). Let y(s) = -s**2 - s. Calculate n*m(v) + x*y(v).
-v**2 - v - 2
Let y(p) = -p**2. Let h(k) be the first derivative of k**4 + 4*k**3/3 - k**2 - 447. Calculate -h(m) - 6*y(m).
-4*m**3 + 2*m**2 + 2*m
Let j = 81 - 79. Let i(v) be the second derivative of -3*v + 7/6*v**3 + 0*v**j + 0 + 1/12*v**4. Let x(d) = -d**2 - 8*d. Give 6*i(k) + 5*x(k).
k**2 + 2*k
Suppose y = -5 + 6. Let u(j) = j**2 - j + 1. Let d(h) = h. Let z be (2 - -2)*(34/(-8) - -4). Calculate y*u(g) + z*d(g).
g**2 - 2*g + 1
Let v(d) be the second derivative of d**4/2 - 5*d**3/6 - d**2 - 12*d. Let f be -1 + ((-96)/8)/(-4). Let o(h) = 3*h**2 - 2*h - 1. What is f*v(m) - 5*o(m)?
-3*m**2 + 1
Let z(r) = -5*r - 2. Let d(l) = -11*l - 4. Let s be (-112)/(-8) + 4 + -4 + -7. Calculate s*z(x) - 3*d(x).
-2*x - 2
Let n(h) = h + 0 + 5 - 6. Let t(j) be the first derivative of -5*j**3/6 + 5*j**2/2 - 6*j - 6. Let v(x) be the first derivative of t(x). Give -11*n(q) - 2*v(q).
-q + 1
Let r(n) = -11*n**2 - 11*n - 17. Let g(h) = h**2 - h + 1. Let w(y) = -10*y - 3. Let t(a) = -5*g(a) + w(a). Give 6*r(p) - 13*t(p).
-p**2 - p + 2
Let b(g) = -69*g + 13. Let m(s) = s + 3. Determine -b(q) + 4*m(q).
73*q - 1
Let m(k) = 3*k**3 + 5*k**2 + 5. Let q(t) be the third derivative of t**6/20 + 3*t**5/20 + 3*t**3/2 + 15*t**2. Suppose -5*a + 55 = -16*a. Give a*q(n) + 9*m(n).
-3*n**3
Let p(u) = -u. Let h be 130/110 + 4/(-22). Let s(z) = -3 - 4 + 6 - z**2 + 0*z**2. What is h*p(x) + 2*s(x)?
-2*x**2 - x - 2
Let o(p) = 9*p**3 + 12*p**2 - 6*p - 3. Let j(t) = 8*t**3 + 10*t**2 - 5*t - 3. Determine -6*j(g) + 5*o(g).
-3*g**3 + 3
Let k(s) be the third derivative of 19*s**5/60 - 5*s**4/24 + 5*s**3/6 - 2*s**2 - 18*s. Let v(g) = 161*g**2 - 42*g + 42. Calculate -42*k(j) + 5*v(j).
7*j**2
Let c(o) = -5*o**3 - 6*o**2 - 4*o + 110. Let a(f) = 11*f**3 + 14*f**2 + 9*f - 219. What is 3*a(k) + 7*c(k)?
-2*k**3 - k + 113
Let k(t) be the first derivative of -t**3/3 + t**2/2 + t - 4. Let y(v) = 4*v**2 - 3*v - 2. Let s = -338 + 337. Calculate s*y(l) - 2*k(l).
-2*l**2 + l
Let g(j) = -3*j - 1. Let v = 24 + -24. Let n be 1/4*(v + 20). Let s(r) = -2*r - 1. Give n*s(a) - 3*g(a).
-a - 2
Let u(n) = n**2 - 4*n + 1. Let d(s) = s**2 - 3*s + 1. Let a(o) = -o. Let i(k) = 8*k - 10. Let t(v) = -5*a(v) - i(v). Let q be t(4). Give q*u(b) + 3*d(b).
b**2 - b + 1
Suppose -44*v = 12*v + 448. Let x be (-86)/(-18) + 2/9. Let c(l) = -14*l**3 + 14*l**2 - 8*l + 2. Let k(u) = -9*u**3 + 9*u**2 - 5*u + 1. What is v*k(a) + x*c(a)?
2*a**3 - 2*a**2 + 2
Let x(r) = -7*r**3 - 146*r**2 - 4*r + 8. Let o(k) = -6*k**3 - 145*k**2 - 3*k + 6. Determine 4*o(z) - 3*x(z).
-3*z**3 - 142*z**2
Let y(s) = 1. Let x(k) = -2*k - 6. Let p(d) be the second derivative of -d**3/3 - 31*d**2 + 23*d + 1. Let z be p(-25). What is z*y(h) - 2*x(h)?
4*h
Suppose -5*p + p + 24 = -4*n, n + 22 = 3*p. Suppose 7*v - 39 = 20*v. Let s be v/3 + p/(-2). Let z(l) = 4*l - 6. Let g(c) = c - 1. Give s*g(f) + z(f).
-f - 1
Let f(z) = -z**3 - 7*z**2 - 10*z - 3. Let m(c) = c**3 + 6*c**2 + 9*c + 2. Calculate -6*f(a) - 7*m(a).
-a**3 - 3*a + 4
Let z(t) = 103*t - 3. Let i(b) = 207*b - 5. What is 2*i(k) - 5*z(k)?
-101*k + 5
Let q(o) = -o**2 - 8*o - 13. Let n be q(-5). Let i(t) = 8*t**2 + 4*t + 21. Let w(x) = 2*x**2 + x + 5. Calculate n*i(r) - 9*w(r).
-2*r**2 - r - 3
Let d(f) = f + 9. Let l = 7 - 5. Let b(p) = -l*p - 16 - 3 + p. Let k(q) = 2*b(q) + 5*d(q). Let z(y) = -y - 2. Determine 2*k(g) + 7*z(g).
-g
Let h(d) = 9*d**3 - 5*d**2 - 5*d - 2. Let r(w) = -44*w**3 + 24*w**2 + 24*w + 12. Determine -24*h(v) - 5*r(v).
4*v**3 - 12
Let f(w) = 3*w**2 + 5. Let q(d) = d**2 + 1. Suppose 0 = -35*i + 7*i + 112. Give i*q(v) - f(v).
v**2 - 1
Let s(l) be the first derivative of -l - 110. Let i(k) = -k + 6. Calculate -i(y) - 4*s(y).
y - 2
Let r(v) = -2*v + 3. Let x(n) be the third derivative of -1/6*n**3 + 1/24*n**4 - 37*n**2 + 0 + 0*n. What is -r(b) - 4*x(b)?
-2*b + 1
Let h(t) = 50828*t + 917. Let u(d) = 277*d + 5. Give 5*h(i) - 917*u(i).
131*i
Suppose -18*j - h = -17*j, 5*h + 16 = 3*j. Let q(x) = -6*x**2 + 11. Let l(m) = m**2 - 2. Calculate j*q(p) +
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{
"pile_set_name": "DM Mathematics"
}
|
Let x = -10 + 11.7. Let t = 255 - 256.92. Let w = t + x. What is w rounded to 1 decimal place?
-0.2
Let t = 2 + -0.5. Let j = -1.61 + t. Let c = j + 0.110038. Round c to five decimal places.
0.00004
Let z = 277 + -276.8818. What is z rounded to two decimal places?
0.12
Let u = 33171132.0000065 - 33171115. Let m = -5.6 - 11.4. Let r = u + m. What is r rounded to 6 dps?
0.000007
Let y = -8 + 10. Suppose 0 = -3*h - y*i + 648012, 2*h + 85805 = 2*i + 517823. Let g be h/(-18) + (-2)/(-6). What is g rounded to the nearest ten thousand?
-10000
Let z = -57.0973 + 57.1. What is z rounded to 3 decimal places?
0.003
Let n = -1.5 - -2.7. Let r = -1.1 + n. Let p = -0.10000112 + r. Round p to seven dps.
-0.0000011
Let c = -98393.158 + 98473. Let a = -0.158 - c. Let z = a + 79.961. What is z rounded to two decimal places?
-0.04
Suppose 0 = 5*g - 20, 5*a = 2*g - 0*g - 10058. Round a to the nearest one hundred.
-2000
Suppose -2*s + h + 52 = 0, -5*s + 3*h - 5*h + 139 = 0. Let i be 850003/5 - s/45. What is i rounded to the nearest 10000?
170000
Suppose 4*m + 4 = 0, 3*b + 2 = 5*m - 2. Let y(s) = 2*s + 5. Let c be y(b). Let p(l) = 211*l**2 + 2*l + 1. Let n be p(c). Round n to the nearest 100.
200
Let m = -1.68 - 50.32. Let v = 562326018.9999906 + -562325967. Let d = m + v. Round d to 6 decimal places.
-0.000009
Let d = 177097 + 53203. What is d rounded to the nearest 100000?
200000
Let t = -0.71614336 - 28.2838562. Let n = -26.2 + -2.8. Let i = t - n. Round i to seven dps.
0.0000004
Let r = 29.114354 - -128.882456. Let o = 158 - r. What is o rounded to four dps?
0.0032
Let u = 5.553 - -0.047. Let k = -5.5906 + u. What is k rounded to three dps?
0.009
Let g = -1416.1 - -1424. What is g rounded to the nearest integer?
8
Let t = -0.1 + 1.1. Let m = 0.896970253 - -0.103029327. Let c = m - t. What is c rounded to seven dps?
-0.0000004
Let l = 95.3 - 95.30094. What is l rounded to 4 dps?
-0.0009
Let y(w) = -8*w**3 + 3*w**2 + w - 10. Let f be y(-6). What is f rounded to the nearest 100?
1800
Let f = 239684889 + -132384889. Round f to the nearest one million.
107000000
Let z = -385 + 384.9188. Let v = z + -0.3018. Let g = -0.252 - v. What is g rounded to 2 decimal places?
0.13
Let x be (-2)/(10/(-1565))*-1. Let t = -192 - x. Round t to the nearest ten.
120
Let g = -12.87 + 14.656. What is g rounded to 1 decimal place?
1.8
Suppose -4*h = -0*h - 2*n - 54, -h - 4 = -4*n. Let u be h/40 + (-11200002)/5. Round u to the nearest 1000000.
-2000000
Let w be 627034/(-6) - 1/3. Let s(h) = 3609*h + 77. Let b be s(-19). Let p = w + b. What is p rounded to the nearest ten thousand?
-170000
Let b = 209 + -931. Let y = -621.4 - b. Round y to the nearest ten.
100
Let h be 2/1 + (4 - 22400006). What is h rounded to the nearest one million?
-22000000
Let w = 794.0663 + -794. What is w rounded to 2 dps?
0.07
Let q = -22 - -20.7. Let t = q + 2.1. Let z = t - 0.802. Round z to three dps.
-0.002
Let j = 1876894.400095 + -1876889. Let k = -5.4 + j. Round k to five dps.
0.0001
Let u = -7.6272 - -7.44. Round u to 1 decimal place.
-0.2
Let h = -0.271 - -0.051. Let l = -0.2175 - h. Round l to 3 decimal places.
0.003
Let q = -0.06 + -1.54. Let h = q + 4.6. Let a = -2.9996 + h. What is a rounded to three dps?
0
Let a = 1287.47 - 1276. Round a to the nearest integer.
11
Suppose -4*b = -b - 123750. Let a(c) = c**2 + 6*c + 4. Let n be a(-3). Let q be (80/(-3))/(n/b). Round q to the nearest 100000.
200000
Let l = 13650 + -13650.07949. Round l to 2 decimal places.
-0.08
Let d = -157.12 - -159. What is d rounded to the nearest integer?
2
Let v = 0.004 - 0.00314. Round v to 4 decimal places.
0.0009
Let z = -0.035262077 + 0.03526. What is z rounded to six decimal places?
-0.000002
Let t = 209.8986 - 210. Let p = -0.1 + 0.2. Let x = t + p. Round x to three decimal places.
-0.001
Suppose -15*q = -10*q + 84950000. Round q to the nearest 1000000.
-17000000
Let f = 31 + -21. Let n = -9.9956 + f. What is n rounded to three dps?
0.004
Let r = -9.7 - -29.5. Let c = r + -19.913. What is c rounded to two decimal places?
-0.11
Let a = -64941 - -97534. Let u = 32579.9944 - a. Let w = -13 - u. Round w to 3 dps.
0.006
Let h = 98 - 193. Let i = -95.00000053 - h. What is i rounded to seven dps?
-0.0000005
Suppose 157308157 + 75931843 = 28*n. What is n rounded to the nearest 1000000?
8000000
Suppose -202 = -3*x + 29. Suppose 0 = -4*t + 35 + x. Suppose t*a - 25*a = -9000. What is a rounded to the nearest 1000?
-3000
Let n = 45.398165 - 45.4. Round n to three decimal places.
-0.002
Let f = -232.019 + 232. Round f to two decimal places.
-0.02
Let s = 0.76 - -1.33. Let t = s - 2.09000213. Round t to 7 decimal places.
-0.0000021
Suppose -t + 0*t + 4 = 0. Suppose i + 7500000 = t*i. Round i to the nearest one million.
3000000
Let u(a) be the first derivative of 5*a + 3*a**2 + 4/3*a**3 - 2 + 449/4*a**4. Let v be u(-3). Round v to the nearest one thousand.
-12000
Let h = 8748 + -7761.2. What is h rounded to the nearest ten?
990
Let b = 49.3005123 + -9.3005122. Let l = b - 40. Round l to 7 dps.
0.0000001
Suppose -19*n - 2*l + 16324 = -20*n, -l = 3. What is n rounded to the nearest one hundred?
-16300
Suppose j + 349 = -72. Let z be (18275 + -1)/(2/j). Let a = 2336677 + z. Round a to the nearest one hundred thousand.
-1500000
Let w = 11470032.79999956 + -11470035. Let p = -2.2 - w. Round p to 7 decimal places.
0.0000004
Let p = 23 - 44. Let c = -20.639483 - 0.361457. Let a = c - p. Round a to four decimal places.
-0.0009
Suppose 10128300 = -32*l + 81*l. Round l to the nearest ten thousand.
210000
Let c = 3.26 - 3.6. Let x = -79.5688 - -79.9088038. Let o = x + c. What is o rounded to six decimal places?
0.000004
Let m = 181 - 177. Suppose 0*f - q = -4*f + 21912, -5459 = -f + 5*q. Suppose m*o - 2*b + 25594 = 0, 5*o + 26527 + f = -2*b. Round o to the nearest one thousand.
-6000
Let a be 6/3 - (-1 + 6). Let q(y) = -3*y - 5. Let x be q(a). Suppose -5*w - f = 2449998, -w - x*f + 980008 = -3*w. What is w rounded to the nearest 100000?
-500000
Let b = 1364 + -1364.000008204. Round b to six decimal places.
-0.000008
Let j = 0.170423 + 136.156577. Let s = j + -137. What is s rounded to one dp?
-0.7
Let c(r) = -99*r + 287. Let b be c(-7). What is b rounded to the nearest 100?
1000
Suppose 6*y = 3*y + 615000. Suppose -x - y = -2*x. What is x rounded to the nearest 100000?
200000
Let g = 27.3328 - 1.1506. Let h = g - 1.2342. Let v = h - 25. What is v rounded to two decimal places?
-0.05
Suppose 2*b - 96144 = -2*m, -2*b - 17172 + 113302 = -5*m. Round b to the nearest one thousand.
48000
Let u = -4.7 + 3.3. Let g = -1.4000088 - u. What is g rounded to six dps?
-0.000009
Let i = 183601428.99999876 - 183601378. Let v = 51 - i. Round v to 7 dps.
0.0000012
Let i = -1293776.93678 - 13.06322. Let s = i - -1293790.07000015. Let u = -0.07 + s. What is u rounded to 7 decimal places?
0.0000002
Let m = -2.8 + -25.2. Let b = 36809886 - 36809913.9999864. Let s = b - m. Round s to 6 dps.
0.000014
Suppose 18041535 = q + 8*q. Let p = q + -984615. What is p rounded to the nearest one hundred thousand?
1000000
Let a = -225.867 - -226. Let l = 0.027 + a. Round l to 1 decimal place.
0.2
Let y be (232176/(-10))/(54/112500). What is y rounded to the nearest 1000000?
-48000000
Let p be 3/5 + (-2409019424)/(-35). Let o = -39829127 + p. Suppose 8*l - o = 3*l. Round l to the nearest one million.
6000000
Let f = -0.02940227 + 0.0294. What is f rounded to seven decimal places?
-0.0000023
Let l = -2722.99133 + -0.00867. Let a = -2713.0088 - l. Let t = -10 + a. Round t to 3 decimal places.
-0.009
Let s = -0.171881 - -0.1708. What is s rounded to four decimal places?
-0.0011
Let u = -6410.005881 - -6410. Round u to three dps.
-0.006
Let v(m) = -m**3 + 9*m**2 - 12*m - 11. Let l be v(7). Let p be 8/4 - (4445 - l). Round p to the nearest 1000.
-4000
Let u(p) = -p - 14. Let n be u(-16). Suppose 3*m - 17 = -n. Suppose -m*v + 19999980 = -5*r, -3*r = v + 3*v - 16000012. Round v to the nearest 1000000.
4000000
Let r = 1324065.906874 + -1324064. Let z = 2.12682 - r. Let a = 0.22 - z. What is a rounded to five dps?
0.00005
Let j = -489 - -489.06425. Let z = j - 0.064. What is z rounded to four dps?
0.0003
Let p = 0.242 + -0.241999864. What is p rounded to seven dps?
0.0000001
Suppose -4*v
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{
"pile_set_name": "DM Mathematics"
}
|
(-656)/24)*1/8. Let a = -2/3311 - -122579/119196. Let n = -7/9 + a. What is the closest to n in 0.5, h, -1?
0.5
Let d = -0.3 - -0.29. Let g be (10/(-25))/((-871)/335). Let y = 0 - -0.3. What is the nearest to 3 in y, g, d?
y
Let i = 0.23171 - -0.06829. What is the nearest to 0.3 in i, -0.3, 43, -0.1?
i
Let a = -945 - -633. Let c = 309.904 + a. Let b = c + 0.096. What is the closest to b in -3/4, -5, 0.3?
-3/4
Let s be ((-15)/50)/(2/8). Let b be 5916/(-15) + ((-198)/(-30))/(-11). Let n = b + 1183/3. What is the nearest to -1 in n, 2/11, s?
s
Let y = 42 + -42.03. Let s = 7 + -12. Let l be (4 + s + 2)/(-5). Which is the nearest to 0? (a) 7 (b) l (c) y
c
Let i be -6*6/(-63)*7/6. Let b = -0.3 + -0.1. Suppose 8948*k - 8946*k + 2 = 8. What is the nearest to k in i, b, -2?
i
Suppose -26*d + 36*d = 0. Let g be 247/(-38) + (-2 - -8). Which is the nearest to d? (a) -2.2 (b) -0.1 (c) g
b
Suppose 4*d + 4*i + 143 = 103, -5*i - 47 = 2*d. Suppose 3*t = -t + 4. Which is the closest to d? (a) -4 (b) t (c) -0.02
c
Let d = -147.804 + -0.196. Let n = d + 148. Which is the nearest to -0.2? (a) -1.14 (b) n (c) 5
b
Let i = -3637.9 - -3638. What is the nearest to -2/29 in 1/4, 5.1, i?
i
Let d = -3/2275 - -2284/6825. What is the nearest to -0.1 in -1, 0.1, d, -2?
0.1
Suppose -4*y - 5*n + 11 = 0, 3*y - n + 15 = 3*n. Let i = 788 - 788.9. Which is the closest to -0.1? (a) 4 (b) i (c) y
b
Let y be (57/(-18))/(11/(64911/28)). Let o = y + 667. What is the closest to -2 in o, -3, -9?
-3
Let l be 79/(-11) - 74/(-407). What is the nearest to 1 in 4, -10, l?
4
Let z = 22/25 - 2/25. Let q = 2271 - 2272. Which is the closest to q? (a) 0.3 (b) -8 (c) z
a
Let z = 0.4 + 0.1. Let s = -132 + 127. Let w(o) = -27*o - 215. Let t be w(-8). Which is the closest to t? (a) z (b) -5/3 (c) s
a
Let h = 0.56169 - 4.56169. Let l = -5 + 8. Let v be (-3)/(-14) - 2/(-7). Which is the nearest to 2? (a) v (b) h (c) l
c
Let w be ((-5)/(-40))/((-1)/6). Let k = 1.6 - 1.785. Let j = -0.085 - k. What is the closest to -7/3 in 1/8, w, j?
w
Let f = 20132 + -20126. What is the closest to f in 1, -3, -20?
1
Let h be ((-8)/30)/(28 - 5456/198). Let i = -0.3 - -0.4. Let m = 0.1 + i. Which is the closest to m? (a) -0.5 (b) h (c) 2
a
Let w(c) = -219*c - 2849. Let x be w(-13). Let b = -2 - -6. What is the closest to x in b, -16, -3?
-3
Let w = -758 + 767. What is the nearest to -2 in 2/9, w, -0.12?
-0.12
Let b be (-1429)/(-8) - (-9 - (-9 - -3)). Let d = b + -182. What is the nearest to 2/3 in -4, d, 0.3?
0.3
Let g = -19.6316 - 3.0984. What is the closest to 0 in g, 1/6, 3, -2?
1/6
Let p = -170 - -174. Let u = 3 + 60. Let o = 59 - u. What is the nearest to 1 in o, p, 0.06?
0.06
Let p = 0.4 - 0. Let j be ((-6)/21 + (-5)/7)*5. Let v be (8/32)/(j/15). Which is the closest to 0.4? (a) v (b) p (c) 2/3
b
Let k be (-2)/2 + (1 - 1). Suppose -7*j + 181 = -85. Suppose -15*s = j + 37. What is the closest to -4 in s, k, -0.4?
s
Suppose k - 2 = 0, -3*k - 17 = -4*d - 27. What is the nearest to 16/5 in 0.5, 0.6, -0.1, d?
0.6
Let z be -8*(-6)/(-20) - -2. Let u = 75 - 93.3. Let j = -18.5 - u. Which is the closest to z? (a) j (b) 0.06 (c) 0.2
a
Let f = -8 - -7.9. Let z = -118 + 198. Let n = -80 + z. What is the closest to n in -0.4, -5/2, f?
f
Let t = 1 - 1.5. Let p = -82/5 - -16. Which is the closest to p? (a) t (b) -1 (c) -11
a
Let y = 86.2592 - 0.1092. Let f = -85 + y. Let p = f - 0.65. Which is the closest to 0? (a) 5 (b) p (c) -0.2
c
Let q be 5/(-3 + 50/15). Suppose 6*w + 3*z - 59 = 4*w, 0 = 3*z - q. Let p = -20 + w. Which is the closest to p? (a) -1/3 (b) -7/5 (c) 4
c
Let y be (1625/13)/5*(-8)/(-70) + -4. What is the nearest to 2/13 in -2, y, 3?
y
Let f = -0.2 - -0.6. Let l = f - 0.3. Let g = 0.137 + -0.037. What is the closest to l in -1, g, 2/7?
g
Let u = -4/11 - -27/44. Let z(y) = y**2 - 97*y - 2. Let i be z(97). Which is the nearest to i? (a) u (b) 3/2 (c) 22/9
a
Suppose -35*x + 45*x - 40 = 0. Let i = -5189/5 + 1037. What is the closest to 0 in i, 2/13, x, -2?
2/13
Let k be (-88)/(-2) - (0 + 2 + 2). Suppose 0 = 3*w + 4*m - 18, k*m = -3*w + 44*m - 6. Which is the nearest to -4/9? (a) w (b) -0.2 (c) 2/3
b
Let w = -0.008 + 272.008. Let c = 276 - w. What is the nearest to 1/4 in c, -3/5, 5?
-3/5
Let l = -1/1456 - 2907/7280. What is the closest to 1 in -0.2, 1/3, l, -113?
1/3
Let z = 8.9 + -8.949. Let a = z - -28.549. Let x = a + -29. What is the closest to -8 in -3, 5, x?
-3
Let s = -10176 + 10174. Which is the nearest to -1/4? (a) 2/45 (b) s (c) 0.02
c
Let g(i) = i**2 + 4*i - 18. Let s be g(3). Which is the nearest to -5? (a) -0.02 (b) s (c) 1/24 (d) -3
d
Let d = -0.059 + 0.259. Let r = 337 - 336. What is the closest to -1/2 in d, r, 2/13, -3?
2/13
Suppose 0*m - 2*t = 5*m - 45, -5*m - 3*t = -45. Suppose m + 7 = -8*w. Let j = 5 - 4.9. Which is the nearest to 1/4? (a) j (b) w (c) -1/5
a
Let w(k) = 15*k - 118. Let r be w(8). Let i = 0.38 - 0.08. Which is the closest to r? (a) 3/2 (b) i (c) -3
a
Let c = 7232 - 7231.9. What is the closest to c in 18, -32, 1?
1
Let p be 90/24 - 3/4. Suppose 3*m + m = 4*j + 4, 0 = -5*j - 3*m + p. What is the closest to -0.3 in -5, 2/11, j?
j
Let a be (14 + 1188)*(-1)/6. Let m = a - -202. What is the closest to 0 in 0.3, 1/4, m?
1/4
Let k = -1 - 5. Let a = -3.2 + 5.53. Let b = -1.67 - a. What is the closest to b in k, 4, 5?
k
Suppose -6*x = -9*x - 6. Let z be x/(8/(-20)) - 2. Let w be z + -1 + -2 + 2. What is the nearest to w in -0.1, 3, -3?
3
Suppose 0 = 7*i + 4 - 32. Let s be 1/(((-17)/51)/(i/66)). What is the closest to s in -2, -5/3, -4/9?
-4/9
Let d(h) = 2*h + 164. Let u be d(-78). What is the nearest to 3/10 in 0.1, u, -2/5?
0.1
Let p be (-4)/(-6) - 80/(-6). Let k be (-2688)/(-1728) - (-8)/(-9). Which is the closest to k? (a) 0.4 (b) -5 (c) p
a
Let l = 0.04 + 1.96. Let y = -0.817351 - -0.817351. What is the closest to l in y, -1/2, 0.02?
0.02
Let f = -762.1 + 991. Let b = -229 + f. What is the closest to b in 1.2, 4, 2/13?
2/13
Let x = 839 - 921. Let p = x + 82.075. What is the nearest to -0.2 in -1, p, -0.2, 0.1?
-0.2
Suppose -4*t = 5*g + 15, 397*g + 5*t = 402*g - 30. What is the closest to g in 4/11, -8, -0.1?
4/11
Let q = 2.1105 - 0.1105. What is the nearest to 1 in -4, 1/15, q, 0.9?
0.9
Let q = -3797/15 + 2533/10. Which is the nearest to -1? (a) q (b) -0.2 (c) -0.01 (d) 0.219
b
Let j = 1.727 - 1.727. Which is the closest to j? (a) -3 (b) 5 (c) 0.4
c
Let v(k) = -157*k**2 - 631*k. Let x be v(-4). Which is the closest to 2/5? (a) 2/17 (b) x (c) 0
a
Let b = -4774.932 - -4775. What is the closest to 0 in 3/8, 5, b, 2/7?
b
Suppose s + 4*f + 1 - 17 = 0, 2*s = -f + 11. Let n be (6/(-28))/(s/(-42)*3). Let y = 4.1 - 0.1. What is the closest to n in -3/2, y, -3/4?
-3/4
Let d = -25 + 23. Let a be -3 - ((-24)/(-20) + -4). Let i = 3.1 + -2.1. What is the closest to d in i, 5, a?
a
Let w = -5550.032 - -5550. Let y be (-22)/(-8) - (5 + -2). What is the nearest to 0.1 in -0.3, y, w?
w
Suppose 4*v - 14*v = 11*v - 147. Which is the closest to 1? (a) 0.3 (b) v (c) -1/2 (d) -5/4
a
Let c = 44.961 + -45. Let q = c + -0.161. Suppose -4*h = -0*h, 0 = 2*y + 3*h. What is the nearest to y in 3, -0.1, q?
-0.1
Let y be (-2893)/(-44) + 4/16. Which is the closest to 1? (a) y (b) 2 (c) 5 (d) 3
b
Let g(u) = -89*u - 717. Let x be g(-8). What is the nearest to -2 in x, -0.202, -9?
-0.202
Let p = 39.3 - 39. Let f be (1/(-3))/((-11)/264). Let d be ((-4)/f)/(4 - 0)*-2. What is the closest to d in 3, p, -4?
p
Let d = 6517 + -6512. Which is the closest to -0.15? (a) -1/3 (b) d (c) -0.11
c
Let h = 0.087 + 457.913. Let u = h + -462. What is the nearest to -21 in -0.3, 2/5, u?
u
Let j be (-9)/(108/4134) + -6 + 3/(-6). Which is the nearest to 2? (a) j (b) 0.4 (c) 0
b
Let z = 2553.2 - 2557.2. What is the closest to -14 in 1/3, 0.01, 8, z?
z
Let w = -87.781 + 87.731. Let p = 0.1 + 0. What is the nearest to w in 2/17, p, -4, -2/7?
p
Let q = -21 + 26. Let h = 307.3 - 309.3. What is the closest to 2 in h, 7/2, q, -0.4?
7/2
Let l = 22517 + -22516.3. Let f = 0.03 - -0.97. Which is the closest to l? (a) 0.1 (b) 5 (c) f
c
Let q = -15.3292 + -0.0708. Let l = q + 15.7. What is the nearest to 12 in 2/3, -3, -3/7, l?
2/3
Suppose 5*j - 30 = 0, -186*x + 23 =
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{
"pile_set_name": "DM Mathematics"
}
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g(o) - w(o)?
4*o**3 - 15*o**2 + o + 1
Let z(t) = 144*t**2 - 27. Let h(s) be the second derivative of s**2 - 93*s - 11/12*s**4 + 0*s**3 + 2. Calculate 27*h(p) + 2*z(p).
-9*p**2
Let r(c) = -62*c + 2. Let j(k) = 170*k - 7. Give 6*j(v) + 17*r(v).
-34*v - 8
Let y(l) = -3*l**2 + 5 - 6*l**2 - 8*l + 3 - l**3. Let d be y(-8). Let c(r) = 8*r + 2*r**2 - 5*r - 47 + 81 + 5*r - 42. Let q(w) = w - 1. What is d*q(j) - c(j)?
-2*j**2
Let p(k) = 9190*k**2 - 13*k - 39. Let z(m) = 4597*m**2 - 6*m - 18. Calculate 6*p(b) - 13*z(b).
-4621*b**2
Let n = 97 - 97. Suppose n = 3*h + 4*s + 11, -2*h + 2*s = 6 - 8. Let k(y) = -4*y - 2. Let f(c) = -3*c + 0*c + 4*c. Determine h*k(w) - 6*f(w).
-2*w + 2
Let x(i) = i**3 - 75*i**2 - 3*i + 4. Let m(j) = 77*j**2 + 3*j - 3. Calculate 4*m(o) + 3*x(o).
3*o**3 + 83*o**2 + 3*o
Let w(l) = -31*l**3 - 17*l + 3. Let z(j) = -11*j**3 - 6*j + 1. Let k(g) = 6*w(g) - 17*z(g). Let v(t) = -9*t**3 - 4*t - 11. Determine 22*k(y) + 2*v(y).
4*y**3 - 8*y
Let f = 182059 - 182060. Let m(b) = -4*b - 24. Suppose -1 + 3 = k. Let x(v) = 0 - 1 + k. Calculate f*m(s) - 24*x(s).
4*s
Let k(r) = 76*r**3 - 10*r**2 + 19. Let t(u) = -63*u**3 + 10*u**2 - 18. Determine 5*k(m) + 6*t(m).
2*m**3 + 10*m**2 - 13
Let f(p) = 43 - 93 + 49. Let i = 40 - 35. Let d(l) = 2*l + 5. Let c(r) = -r. Let a(z) = -2*c(z) + d(z). Determine i*f(q) + a(q).
4*q
Let y(q) = 4997 - 2494 + q - 2500 - 14*q. Let c(m) = -4*m + 1. Determine -14*c(u) + 4*y(u).
4*u - 2
Let c(g) = 6*g**3 + 4*g**2 + 3. Let r(o) be the second derivative of 19*o**5/20 + 11*o**4/12 + 4*o**2 + 1000*o. Give -8*c(m) + 3*r(m).
9*m**3 + m**2
Let m(q) = -10*q**2 - 7*q + 51. Let b(x) = -3*x + 2520 - 3*x**2 - 2503 + 0*x**2 + x. Give 7*b(y) - 2*m(y).
-y**2 + 17
Let c(x) = 117*x + 10. Let d(w) = -118*w - 7. Give 5*c(l) + 6*d(l).
-123*l + 8
Let r(y) = -2*y + 18. Let w = 115 - 107. Let s be r(w). Let v be (-10)/25 - (36/5)/s. Let o(f) = f. Let x(g) = 5*g. Give v*o(m) + x(m).
m
Let k(v) = -7*v**3 + 31*v**2 - 6*v + 21. Let b(x) = -9*x**3 + 32*x**2 - 8*x + 23. Give -3*b(l) + 4*k(l).
-l**3 + 28*l**2 + 15
Suppose 0 = -55*z + 60*z + 4*u + 31, -u = -3*z - 22. Let h(a) = 27*a**3 + 7*a**2 - 7*a + 13. Let m(l) = -9*l**3 - 2*l**2 + 2*l - 4. What is z*m(t) - 2*h(t)?
9*t**3 + 2
Let p(z) = z**2 + z - 12. Let y(d) = d**2 + 2*d - 11. Let b be 3/((-7 - (-160)/25)/(4/10)). Give b*y(k) + 3*p(k).
k**2 - k - 14
Let a(y) = -17*y**2 + 3*y - 3. Let z(x) be the first derivative of -40*x**3 + 10*x**2 - 20*x + 375. Give 20*a(l) - 3*z(l).
20*l**2
Let v(k) = 2188*k + 5. Let q(m) = 2189*m + 6. What is 5*q(u) - 6*v(u)?
-2183*u
Let h(c) = -770*c + 6. Let i be h(0). Let q(b) = -b + 22. Let y(n) = -n + 22. Give i*y(z) - 5*q(z).
-z + 22
Let t(h) = 4*h - 1. Let i(l) = 0 + 1 + 3 + 62933*l - 3 - 62937*l. Determine -2*i(m) - 3*t(m).
-4*m + 1
Let l(x) = -17*x**2 - 7808. Let y(k) = -4*k**2 - 1952. Calculate 2*l(c) - 9*y(c).
2*c**2 + 1952
Let z(u) = -1. Let y(w) = 5*w + 5. Let j(f) = 3*f + 3. Let q(l) = 11*j(l) - 6*y(l). Suppose 4*d = 7*d + 3*x - 12, -5*x + 8 = -7*d. Calculate d*q(h) + 6*z(h).
3*h - 3
Let b(f) = -f**2 + f. Let p(k) = -3*k**3 + 2*k**2 + 2*k. Let h be ((-4)/5)/(((-748)/85)/22). Give h*b(c) - p(c).
3*c**3 - 4*c**2
Let q(r) = r**2 + 125*r + 30. Let b(t) = -2*t**2 - 251*t - 68. What is 2*b(w) + 5*q(w)?
w**2 + 123*w + 14
Let m(f) = -f**3 + 15*f**2 - 37*f + 16. Let d be m(12). Let y(s) = -2*s - 1 + 5*s - d*s - 2*s. Let p(v) = 13*v + 4. Determine 2*p(z) + 9*y(z).
-z - 1
Let z(b) = -29*b**2 - 12*b + 41. Let r(c) = 60*c**2 + 25*c - 96. What is 3*r(s) + 7*z(s)?
-23*s**2 - 9*s - 1
Let j(b) = -6*b + 9440. Let n(t) = 3*t - 4721. Determine 3*j(g) + 5*n(g).
-3*g + 4715
Let o(k) = 2*k - 2. Let a(f) = -2*f + 1. Let m(u) = -u**3 + 2*u**2 + 2*u + 17. Let s be m(4). Determine s*o(h) - 6*a(h).
-2*h + 8
Let c(m) = -81*m + 803. Let l(h) = 97*h - 803. Give 6*c(b) + 5*l(b).
-b + 803
Let i(n) = -5*n - 4. Suppose 1086090*q - 1086137*q = -235. Let p(f) = 9*f + 7. Let v = -1 + 4. Calculate q*i(u) + v*p(u).
2*u + 1
Let y(w) = -w**2 + 12*w**2 + 10 - 2 - 5 - 17*w. Suppose -9 = -4*i + 11. Let m(g) = 3 + 4 - 1 + 4*g**2 - 6*g - i. What is -8*m(l) + 3*y(l)?
l**2 - 3*l + 1
Let h(u) = -11*u**2 - 1845*u + 7. Let z(l) = -5*l**2 - 902*l + 3. Determine 4*h(b) - 9*z(b).
b**2 + 738*b + 1
Let u(h) = 891*h**3 - 3*h - 3. Let l(p) = -297596*p**3 + 1003*p + 1003. Calculate -6*l(z) - 2006*u(z).
-1770*z**3
Let n(g) = -149*g**2 - 5*g - 5. Let u(l) = -2*l**2 - l - 1. Determine -6*n(k) + 30*u(k).
834*k**2
Let p(r) = 28*r**2 + 23*r - 37. Let m(n) = -9*n**2 - 8*n + 14. Determine 17*m(h) + 6*p(h).
15*h**2 + 2*h + 16
Let q(u) = 2*u - 2. Suppose -r - 5 + 16 = 3*t, 2*r - t = 8. Suppose r*o - 43 = h, -5*h + 1 = -0*o + 2*o. Let d(y) = 6*y - 6. Give o*q(n) - 3*d(n).
-2*n + 2
Let t(s) = 602*s + 7332. Let y be t(-12). Let i(j) = 126*j**2 + 108. Let h(c) = -c**2 - 1. Give y*h(q) + i(q).
18*q**2
Let o(l) = 16*l + 28. Let s(y) = y + 6. Determine -o(d) + s(d).
-15*d - 22
Let r(b) = 338*b**2 - 12. Let z(v) = 306*v**2 - 11. Determine 3*r(c) - 4*z(c).
-210*c**2 + 8
Let l(f) = -3*f + 2396. Let s(q) = -4*q + 3595. Calculate 7*l(g) - 5*s(g).
-g - 1203
Suppose -270 = -372*q + 1962. Let j(p) = p**2 - p + 4*p**3 - 3*p**3 + 2*p. Let n(w) = 4*w**3 + 2*w**2 + 8*w. Give q*j(a) - n(a).
2*a**3 + 4*a**2 - 2*a
Let g(d) = 2*d + 86. Let j(m) = -2 + 38 - 2*m - m + 7 + 4*m. Determine 4*g(s) - 9*j(s).
-s - 43
Let i(z) = z**2 - 3*z + 4. Suppose -113*k - 183 + 267 + 368 = 0. Let v(r) = -r**2 + 6*r - 7. Determine k*v(f) + 7*i(f).
3*f**2 + 3*f
Let a(b) be the first derivative of -b**4/4 - b**2 - 4*b - 6. Let g(u) be the first derivative of -u**4/4 - u**2/2 - 3*u - 503. Determine -2*a(m) + 3*g(m).
-m**3 + m - 1
Let y(g) = -312*g**2 - 5*g - 43. Let j(f) = f**2 + 11. What is -4*j(h) - y(h)?
308*h**2 + 5*h - 1
Let l(i) = -2*i**2 + 29*i + 2. Let p be -9*((-2604)/(-189) - 14). Let h(a) = a**3 + 3*a**2 - 30*a - 3. Give p*h(q) + 3*l(q).
2*q**3 + 27*q
Let i(c) = c**3. Let z(w) = w**3 - 113*w. Give -2*i(p) + z(p).
-p**3 - 113*p
Let o(y) be the third derivative of -5*y**4/24 - y**3/6 + 125*y**2 + 3*y. Let q(j) = -11*j - 1. Give 5*o(b) - 3*q(b).
8*b - 2
Let u(f) = -126*f + 65. Let y(v) = -v - 13. Give -u(j) - 6*y(j).
132*j + 13
Let b(a) = 5*a**2 - 13*a + 67. Let f(c) = -9*c**2 + 25*c - 135. Calculate -5*b(m) - 3*f(m).
2*m**2 - 10*m + 70
Let l(q) = -50*q**3 - 10*q**2 - 20*q + 34. Let m(j) = -4*j**3 - j**2 - 2*j + 1. Give l(f) - 10*m(f).
-10*f**3 + 24
Let s(l) = 2*l**2 + 5*l + 4. Let a(d) = -5*d**2 - 2*d + 30. Let m(y) = -y**2 + 8. Let b(v) = a(v) - 4*m(v). What is 10*b(w) + 4*s(w)?
-2*w**2 - 4
Let d(j) = 45*j + 2. Let a(p) be the second derivative of 11*p**3/3 + p**2/2 + 4531*p. Determine 9*a(x) - 4*d(x).
18*x + 1
Let x(q) = 5*q**2 + 3. Let p(z) = 11*z**2 + 6. Suppose -3*f + 13 = 3*u + 2*u, 5*u = 5*f + 5. Suppose -8 = u*n - 26. Give n*x(s) - 4*p(s).
s**2 + 3
Let l(q) be the second derivative of -q**4/12 + q**3/6 + q**2/2 + 2*q - 366. Let w(s) = 7*s**2 - 4*s - 6. Give -5*l(r) - w(r).
-2*r**2 - r + 1
Let g(l) = l + 1. Let y(b) = -b**2 + 19*b + 67. Let i be y(22). Let t(k) = 2*k**2 - 5*k - 3. Calculate i*t(z) + 3*g(z).
2*z**2 - 2*z
Let i(c) = -441*c**2 - 36*c + 7. Let m(t) = -879*t**2 - 66*t + 13. What is 11*i(f) - 6*m(f)?
423*f**2 - 1
Let p(l) = 2*l**3 - 2*l**2 + 1. Let u(q) = 9*q**3 - 11*q**2 - 76. Give -3*p(s) + u(s).
3*s**3 - 5*s**2 - 79
Let q(t) = -171 - 3*t**3 + 181 + 2*t**3 + 2*t. Let v be q(0). Let u(o) = -13*o - 10*o - 4 + 21*o + 4. Let w(r) = r**2 - 5*r. Calculate v*u(i) - 4*w(i).
-4*i**2
Suppose z = -n + 6*n + 20, -3*z + 21 = -2*n. Let l(d) = 2*d**2 - 2*d - 1. Let o(c) = -74*c**2 - 2 - 3*c + 76*c**2 + 2*c + 1. Determine z*l(f) - 6*o(f).
-2*f**2 - 4*f + 1
Let g = -1 + 5. Let t(c) = -5*c - g + 4. Let y(d) = d. Let s(r) = -r**3 + 3*r**2 - 2*r + 1. Let l be s(2). What is l*t(v) + 6*y(v)?
v
Let d(a) be the second derivative of -19*a**3/3 + 4*a**2 - 26300*a. Let u(q) = 4*q + 6 - 17*q - 3. Give 3*d(l) - 8*u(l).
-10*l
Let c(a) = 2. Let k(w) = 17*w - 3. Calculate -3*c(j) - 3*k(j).
-51*j + 3
Let u(r) = -594*r**3 - 5*r**2 + 9*r + 9. Let n(o) = 295*o**3 + 3*o**2 - 5*o - 5. Give -9*n(y) - 5*u(y).
315*y**3 - 2*y**2
Let t(s) be the second derivative of s**5/20 + 11*s**4/12 - s**3/6 + 2*s - 1980. Let v(d) = 2*d**3 + 21*d**2 - 2*d. Give -5*t(r) + 3*v(r).
r**3 + 8*r**2 - r
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{
"pile_set_name": "DM Mathematics"
}
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-144 + 146. Find z, given that -15*z**2 + 17*z**k - 4*z - z**4 + 1 + 4*z**3 - 5*z**2 + 3 = 0.
-1, 1, 2
Let z = 143 - 141. Let s be z/(-13) - 3*(-20)/390. Solve 3/4*g + s + 9/4*g**3 - 3*g**2 = 0 for g.
0, 1/3, 1
Let n(h) = -10*h**2 - 315*h + 325. Let x = 280 - 283. Let k(j) = -5*j**2 - 157*j + 162. Let b(d) = x*n(d) + 5*k(d). Factor b(m).
5*(m - 1)*(m + 33)
Let o(x) be the third derivative of -2*x + 1/480*x**6 - 32*x**2 + 0*x**4 + 1/120*x**5 + 0 + 0*x**3. Factor o(v).
v**2*(v + 2)/4
Suppose -2944*i = -3031*i + 261. Factor 3*p - 15/4*p**i + 3/4*p**4 - 6 + 9/2*p**2.
3*(p - 2)**3*(p + 1)/4
Let t = -612 + 623. Let u be (t - (-5344)/(-504)) + 2/(-18). Factor -8/7*o**3 + 10/7 + 8/7*o + u*o**4 - 12/7*o**2.
2*(o - 5)*(o - 1)*(o + 1)**2/7
Let r = 230 + -221. Let g(z) be the first derivative of -r + 26/3*z**4 - 70/27*z**6 - 124/45*z**5 + 0*z - 16/9*z**2 - 16/27*z**3. What is w in g(w) = 0?
-2, -2/7, 0, 2/5, 1
Let d(q) be the second derivative of 1/2*q**3 + 1/16*q**4 + 105*q + 0 - 15/8*q**2. Determine p, given that d(p) = 0.
-5, 1
Let v = 23 - 20. Let 74*r - 105*r**2 + 432 - 2*r**4 + 379*r + 48*r**v + 369*r**2 + 123*r + 5*r**4 = 0. Calculate r.
-6, -2
Let u = -643 - -642. Let p be u - ((-161)/45 + 36/45). Let 4/9*b**3 - p*b + 0 + 2/9*b**4 - 8/9*b**2 = 0. What is b?
-2, 0, 2
Let p be 3 + (-220)/209 + 28/532. Factor 4*l + 2/3*l**p + 6.
2*(l + 3)**2/3
Let f be (-5)/5*186/(-31). Let b(u) be the second derivative of 7/50*u**5 + 1/15*u**f + 0 - 9*u + 1/10*u**4 + 0*u**2 + 1/105*u**7 + 0*u**3. Factor b(y).
2*y**2*(y + 1)**2*(y + 3)/5
Let o(b) be the third derivative of -b**6/24 - b**5/2 + 35*b**4/24 + 50*b**3 + 323*b**2 - b. Let o(g) = 0. Calculate g.
-5, -4, 3
Factor 104907 + 561*s + 3/4*s**2.
3*(s + 374)**2/4
Let h(b) = 15*b**3 + 46*b**2 + 47*b + 16. Let u(m) = 45*m**3 + 139*m**2 + 143*m + 49. Let o = -420 + 416. Let s(d) = o*u(d) + 11*h(d). Factor s(q).
-5*(q + 1)**2*(3*q + 4)
Let r(g) be the first derivative of -g**4 + 136*g**3/3 - 342*g**2 - 1944*g - 1414. Let r(t) = 0. What is t?
-2, 9, 27
Let i(s) be the second derivative of -2 + 4/3*s**2 + 16/9*s**3 - 44*s + 1/6*s**5 + 17/18*s**4. Factor i(n).
2*(n + 1)*(n + 2)*(5*n + 2)/3
Suppose -7616 + 32681 = 15*u. Let p = -1669 + u. Determine j so that 0*j**p + 0*j + 1/5*j**4 + 0 - j**3 = 0.
0, 5
Let y(g) be the third derivative of -g**5/12 - 25*g**4/6 - 95*g**3/6 + 152*g**2 + 5*g. Factor y(l).
-5*(l + 1)*(l + 19)
Let s(z) = 7*z + 36. Let a be s(-8). Let i be (11/(-55))/(2/a). Factor -c**i - c**3 + 1 - 48*c + 38*c + 11*c**3.
(c - 1)*(c + 1)*(10*c - 1)
Let f(k) be the first derivative of k**8/7560 - 11*k**6/810 - 2*k**5/45 + 5*k**4/12 - k**3 + k + 78. Let v(b) be the third derivative of f(b). Solve v(h) = 0.
-3, 1, 5
Let i(z) = 15*z**3 - 628*z**2 - 3884*z + 4497. Let b(m) = -m**3 + 42*m**2 + 259*m - 300. Let x(q) = 93*b(q) + 6*i(q). Find r, given that x(r) = 0.
-6, 1, 51
Let u(q) = -3*q**2 + 18*q - 11. Let d be u(5). Solve -8*a**3 + 4*a + 41*a**4 + d*a**5 - 6 - 2 - 49*a**4 + 16*a**2 = 0.
-1, 1, 2
Let w be 62/12 - (23/2 - 7). Factor -2*g**2 + w*g**3 + 0 + 0*g.
2*g**2*(g - 3)/3
Let c(y) be the third derivative of -y**7/210 + y**6/60 + 56*y**5/15 - 75*y**4/4 + 75*y**3/2 - 2*y**2 - 5*y + 13. Factor c(x).
-(x - 15)*(x - 1)**2*(x + 15)
Let -930 - 805*o**3 - 194*o - 646*o + 160*o**3 + 1530*o**2 + 10*o**4 + 2095*o = 0. What is o?
-1, 1/2, 3, 62
Let d = 23 - 17. Factor -18*s**2 - 23*s**2 + 46*s**2 - d*s + s**3.
s*(s - 1)*(s + 6)
Suppose 217*l - 208*l = 4905. Let c = 545 - l. Factor 1/2*a**3 + c + 2*a**2 - 5/2*a.
a*(a - 1)*(a + 5)/2
Let l(k) = -3*k**2 - 13*k + 13. Let p be l(-5). Factor -302*a**2 + 3*a**5 + 104*a - 13*a**4 - 23*a**4 + 171*a**p + 364*a - 216 - 100*a**2.
3*(a - 3)**2*(a - 2)**3
Let z be ((-320)/(-160))/((0 - -1)/(11/110)). Let 0 - 1/5*w**5 + z*w**3 - 2/5*w**2 + 2/5*w**4 + 0*w = 0. Calculate w.
-1, 0, 1, 2
Let n(a) = a**2 + a. Let z(r) = -r + 10. Let i be z(9). Suppose 2*c - i = c. Let w(y) = -4*y. Let f(m) = c*w(m) + n(m). Let f(x) = 0. Calculate x.
0, 3
Suppose -4*s + 163 = -49. Factor 32 + 6 + s*z + 4 + 8*z**2 + 9*z.
2*(z + 7)*(4*z + 3)
Let q(j) = -29*j**2 + 86*j - 53. Let s be q(2). Factor -2/11*d**s - 4/11 + 0*d**2 + 6/11*d.
-2*(d - 1)**2*(d + 2)/11
Let u = -45911/1200 - -957/25. Let z(v) be the third derivative of -4*v**2 + 0*v**4 + u*v**6 + 0*v + 0*v**3 + 0 + 1/24*v**5. Factor z(h).
5*h**2*(h + 1)/2
Find a, given that 2*a**3 - 78*a**2 - 5*a**3 + 351*a + 11200 - 11470 = 0.
-30, 1, 3
Suppose 0 = 5*t + 5*g - 35, -g - 3 = -5*t + 2*g. Suppose -36*d**2 - t*d**3 - 33*d - 1104 + 1104 = 0. Calculate d.
-11, -1, 0
Let i be 453663/46683 + (-4)/78. Suppose 1/3*u**2 - i*u + 0 = 0. What is u?
0, 29
Let y = 43068 - 43066. Solve -15/7 - 3/7*u**y - 18/7*u = 0.
-5, -1
Suppose 0 = -3*z - 2*g - 1567, 3*z + 3*g + 0*g + 1566 = 0. Let y = -3660/7 - z. Determine u so that -1/7*u**2 + y + 0*u = 0.
-1, 1
Let f(h) = -1627*h - 84. Let r be f(-2). Let l be r/300 - 3/18. Factor -338/5 - l*i - 2/5*i**2.
-2*(i + 13)**2/5
Let b be -38 - 0 - (-1*4 - -2). Let l = b - -43. Let x(v) = 19*v**2 + 8*v + 3. Let k(u) = -13*u**2 - 5*u - 2. Let p(s) = l*k(s) + 5*x(s). Factor p(j).
(j + 1)*(4*j + 1)
Determine v, given that 816 - 4/3*v**2 + 2444/3*v = 0.
-1, 612
Let i(g) be the second derivative of -g**5/40 + 29*g**4/8 + 59*g**3/4 + 89*g**2/4 - 4*g + 1. Let i(z) = 0. What is z?
-1, 89
Factor -172*h**2 + 164*h + 169*h**2 + 3471 - 392*h.
-3*(h - 13)*(h + 89)
Let k(f) = -3*f**4 + 9*f**3 - 43*f**2 + 47*f - 16. Let j(t) = -7*t**4 + 16*t**3 - 87*t**2 + 94*t - 31. Let g(i) = -2*j(i) + 5*k(i). Let g(q) = 0. What is q?
1, 2, 9
Determine o so that -4*o - 1/3*o**2 - 32/3 = 0.
-8, -4
Let j(n) be the third derivative of 2/45*n**5 - 161*n**2 + 0 + 2/3*n**3 - 1/180*n**6 + 0*n + 11/36*n**4. Suppose j(c) = 0. What is c?
-1, 6
Factor -f**4 + f**3 - 14*f**2 - f**3 + 138 - 58 - 65 - 16*f**3 + 16*f.
-(f - 1)*(f + 1)**2*(f + 15)
Let o(j) be the first derivative of 53 - 23/4*j**4 - j - 3/4*j**6 + 17/5*j**5 + 4*j**3 - 1/4*j**2. Determine w, given that o(w) = 0.
-2/9, 1
Suppose 27 = -11083*w + 11092*w. Let t(p) be the first derivative of 2/3*p**2 - 1/12*p**4 - 4/3*p - 5 + 1/9*p**w. Determine d so that t(d) = 0.
-2, 1, 2
Let a(o) = 2*o + 6. Let f(i) = i**2 - 271*i - 12. Let y(b) = -2*a(b) - f(b). Let y(u) = 0. Calculate u.
0, 267
Suppose 0 = -11*p - 751 + 795. Let r(u) = -2*u. Let z be r(-1). Factor -5*n**3 - n**3 + z*n**4 + 2*n**p - 2*n**4 + 6*n**2 - 2*n.
2*n*(n - 1)**3
Let x be (32/6)/(((-40)/15)/(-4)). Suppose -u = 3*f - 6, -3*u + x = 4*f + 2*u. Factor 4*w**2 + 15*w**3 - 3*w**f - 5*w**2 - 6*w**2 - 5*w**5.
-5*w**2*(w - 1)**2*(w + 2)
Find c such that -1/5*c**2 + 39/5*c - 224/5 = 0.
7, 32
Let y(o) be the second derivative of -3*o**5/80 + 3*o**4/4 + 8*o**3 - 1350*o. Suppose y(p) = 0. Calculate p.
-4, 0, 16
Let u(v) be the first derivative of 2*v**3/39 + 804*v**2/13 - 248*v + 15927. Factor u(j).
2*(j - 2)*(j + 806)/13
Let m(a) be the third derivative of -a**9/12096 - 5*a**8/576 - 17*a**7/504 - 31*a**5/30 + 170*a**2. Let y(q) be the third derivative of m(q). Factor y(u).
-5*u*(u + 1)*(u + 34)
Determine y, given that -15/2*y**3 + 15/2*y**2 - 5/2*y**4 + 55/2*y + 15 = 0.
-3, -1, 2
Factor y**2 + 1/2*y**5 + 163/2*y - 82*y**3 - 41 + 40*y**4.
(y - 1)**3*(y + 1)*(y + 82)/2
Let q(j) be the third derivative of -j**6/10 + j**5/20 + j**4/2 - j**3/2 - 1143*j**2. Factor q(n).
-3*(n - 1)*(n + 1)*(4*n - 1)
Let n(a) be the second derivative of 75*a + 3*a**2 + 0 + 1/15*a**6 - 2/3*a**4 + 2/3*a**3 - 1/5*a**5. Factor n(f).
2*(f - 3)*(f - 1)*(f + 1)**2
Let w be 12/(-26) - (-324696)/53950*30/9. Factor -w*n**2 + 28/5*n - 2/5.
-2*(7*n - 1)**2/5
Solve 2/5*w**5 - 126*w + 0 + 1056/5*w**2 - 44*w**3 - 208/5*w**4 = 0 for w.
-3, 0, 1, 105
Let t be 756/7*(-4)/(-6). What is h in 168*h**3 + t + 32*h**5 + 308*h**2 - 12*h**5 + 108*h**5 - 266*h**4 - 300*h - 118*h**4 = 0?
-1, 1/2, 3/4, 2
Let c = 167 + -165. Find a such that a + 5*a**2 + 6*a**3 + 9*a + 8*a**2 + 2 + a**c = 0.
-1, -1/3
Let r(v) be the second derivative of -v**7/6300 - v**6/90 - v**5/3 + v**4/12 + 38*v**3/3 + 130*v. Let g(j) be the third derivative of r(j). Factor g(i).
-2*(i + 10)**2/5
Let n = 434 - 441. Let d be n - (-20 + (-5 - -13)). Factor -24/5*b**2 - 6/5 + 6/5*b**4 - 21/5*b - 6/5*b**3 + 3/5*b**d.
3*(b - 2)*(b + 1)**4/5
Let a(w) = -5*w**2 + 18*w
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{
"pile_set_name": "DM Mathematics"
}
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