Let z be g(-2). Suppose 0 = -2*j - 3*h + z, -2*h + 36 = 3*j - 7. What is the remainder when 32 is divided by j?
15
Suppose 4*i + 14 = 3*y + 11, 3*i - 3*y = -6. Suppose i*k - 131 = -5*z, 4*k - 6*z + 9*z = 171. Calculate the remainder when 242 is divided by k.
32
Suppose 7*s = 11*s + 2*m - 232, -4 = -m. Calculate the remainder when 83 is divided by s.
27
Suppose -4*a = d + 1169, 27*d = 2*a + 30*d + 587. Let t = 10 + -6. Calculate the remainder when 2/3*(a/(-8) - 2) is divided by t.
3
Let v(c) = -2*c**2 - 111*c - 1374. Calculate the remainder when 423 is divided by v(-34).
71
Let d be ((-3)/1)/(3*1/(-3)). What is the remainder when 26 is divided by (d/27*-3)/(3/(-81))?
8
Suppose -2*i - 1299 + 6891 = 2*j, 0 = -3*j - 6. What is the remainder when i is divided by 175?
173
Let y(j) be the second derivative of 2*j**5/5 - j**4/3 + 2*j**3/3 - j**2/2 + 3*j - 5. What is the remainder when 69 is divided by y(1)?
6
Let j(r) = r**2 + 2*r - 6. Suppose -9 + 31 = g. What is the remainder when (26/(-2))/((-11)/g) is divided by j(-5)?
8
Suppose 7*z - s = 810, -4*z - 2*s = -2*z - 236. What is the remainder when 1701 is divided by z?
77
Let v(g) = 2*g - 12. Let u be v(3). Let r = 6 - u. Suppose 4*t + 5*p = 12, -p + 2 + 1 = t. Calculate the remainder when r is divided by t.
0
Let i(b) = -37*b + 23. Let o be i(15). Let t = o - -371. Let l = t - -249. Calculate the remainder when l is divided by 18.
16
Let b(d) be the third derivative of 0*d - 4/3*d**3 + 0 - 1/30*d**5 + 36*d**2 - 1/3*d**4 - 1/120*d**6. What is the remainder when 97 is divided by b(-3)?
22
Suppose -9*z - 5684 = -680. Calculate the remainder when (-10 - z)*2/4 is divided by 12.
9
What is the remainder when 1/3*-10*(11 + 6565)/(-16) is divided by 200?
170
Suppose 2*f + p = 3*p + 20, 33 = 3*f - 4*p. Suppose 0*u = 16*u. Suppose 4*h + 3*a - 86 = u, -5*a + 2 = h - 11. Calculate the remainder when h is divided by f.
2
Let c(j) = j**3 + 21*j**2 + j - 35. Let m(k) = -2*k**3 - 45*k**2 - 2*k + 70. Let h(s) = 5*c(s) + 2*m(s). What is the remainder when h(-14) is divided by 37?
36
Let q(z) = 2*z**2 - 83*z - 167. What is the remainder when 213 is divided by q(-2)?
3
Let r(x) be the second derivative of -x**3/2 + x**2 + 47*x. Calculate the remainder when 123 is divided by r(-4).
11
Suppose 4*c = -2*p + 310, -c - 3*p = -8*p - 72. Let f(b) = 82*b - 1138. What is the remainder when c is divided by f(14)?
7
What is the remainder when 356 is divided by ((-20)/(-15))/(72/1782)?
26
Let u(a) = -9*a - 52. Let b be u(-6). Suppose 4*v - 51 - 37 = 4*i, -b*i + 8 = 0. What is the remainder when 153 is divided by v?
23
Let r(f) = -40*f - 308. Suppose 3*o + 3*c = 57, 3*c + 111 = 5*o - 0*c. Calculate the remainder when r(-12) is divided by o.
4
Let f = 47 - 39. Suppose 0 = 4*n + 3*t - 113, -f = -4*n + 4*t + 84. Calculate the remainder when 42 is divided by n.
16
Suppose -8*k + 4*k + 637 = 3*k. Calculate the remainder when k is divided by 19.
15
Suppose 28*l - 44*l + 33696 = 0. Calculate the remainder when l/91 + (-3)/21 is divided by 8.
7
Suppose -5*w + 61 = -124. Let b(r) = -r**3 + 35*r**2 - 235*r + 1841. What is the remainder when b(29) is divided by w?
35
Suppose 17 = 12*t + 149. Suppose 0 = -5*p - 239 + 54. Let w = t - p. Calculate the remainder when 103 is divided by w.
25
Suppose 2*d - 5*l = 118, d - 5*l = -0*l + 59. Calculate the remainder when d is divided by 1 - (-10 - 2) - 6/2.
9
Suppose -2*l = -10*l + 80. Suppose l*j - 86 = 54. Calculate the remainder when j is divided by 3.
2
Let q(c) = 3*c**2 - 2*c + 1. Let y be q(1). Suppose 0 = 3*z - 3*u - 54, 4*u - 64 - 2 = -y*z. Calculate the remainder when 45 is divided by z.
22
Let j(d) = -d**3 - 6*d**2 - 4*d - 7. What is the remainder when ((-121)/7 + 1)/(80/(-280)) is divided by j(-6)?
6
Suppose 175*w - 212*w + 15244 = 0. What is the remainder when w is divided by 88?
60
Suppose 3*l - 12 = 3*w, 7*l - 4*l - 8 = -w. What is the remainder when 55 is divided by ((-145)/15 + l/(-9))*-2?
15
Suppose 22*t - 119*t - 118736 + 2008684 = 0. Calculate the remainder when t is divided by 224.
220
Calculate the remainder when 369 is divided by 2892/24 + 6/12.
6
Calculate the remainder when 237 + ((-8)/(0 + -8) - -1) is divided by 95.
49
Suppose 10 = -s + 3*s. Let j = -8 - -22. Suppose -80 = -4*w + 4*i, -38 - j = -3*w + i. Calculate the remainder when w is divided by s.
1
Let y = 155 - 74. Let l be (-1236)/(-27) - (-12)/54. Let t = l + -18. What is the remainder when y is divided by t?
25
Calculate the remainder when 676 is divided by ((-30)/(-2))/(22737/(-506) + 45).
216
Let n = 3294 + -3050. What is the remainder when 747 is divided by n?
15
Suppose s - d = 2, 2 = 3*s + 5*d + 4. What is the remainder when 89 is divided by (28/(-7) + 38)/s?
21
Let j(p) = -3*p - 55. Suppose 5*v - 31 + 85 = -3*u, 0 = -4*u + 3*v - 101. Let o = 42 + -16. What is the remainder when o is divided by j(u)?
12
Suppose 2*j = 6*j - 1088. Suppose -6*i + 346 = -j. Suppose -3*v = -2*v - i. Calculate the remainder when v is divided by 26.
25
Suppose 3*w - 68 = -5*v, 56 + 47 = 5*w - 2*v. Suppose -2*k = 5*x - 28, k - 2*k + x = -w. What is the remainder when k is divided by 30 - (-1 - (-342)/18)?
7
Suppose 27*n - 32*n = 2*a - 9352, -a + 4661 = 5*n. What is the remainder when a is divided by 29?
22
Suppose 1745 = 22*w - 12*w - 1365. What is the remainder when w is divided by 78?
77
Suppose -8*q + 33 = -4*q - 5*g, -5*g = 2*q - 9. Let x = 8 - 4. Suppose -x*w - u = -8, 4*u = -5*w + 9 + 1. What is the remainder when q is divided by w?
1
Suppose -3*v - 6 = 0, -3*v = 5*x - 0 + 1. Calculate the remainder when 89 is divided by 15/(150/260)*x/1.
11
Suppose 36 = 9*n - 108. Suppose 0 = n*u + 71 - 535. Suppose 0 = 3*p - 12 - 15. What is the remainder when u is divided by p?
2
Let z = 65 + 13. Suppose 5*n + 3*i - 146 = -41, -3*n = 4*i - 63. Calculate the remainder when z is divided by n.
15
Let a = -410 + 425. What is the remainder when 161 is divided by a?
11
Suppose -4*y - 63 = -q, 5*y = 3*q - 54 - 16. Let j(n) = n**3 + 16*n**2 - 18*n. Suppose 49*f + 245 = 54*f. Calculate the remainder when f is divided by j(y).
15
Let u = 96 + -91. Suppose -u*g + 2*b = -30, -5*g = -3*g - b - 13. Suppose -35 = -3*o + 2*y, 0*o + g*y = 5*o - 59. What is the remainder when 53 is divided by o?
9
Let j(k) = -9*k**2 + 6*k - 15. Let d(l) = 1. Let i(s) = 9*d(s) + j(s). Let b be i(6). Calculate the remainder when (12/3)/12 - b/9 is divided by 7.
5
Let x be (-6273)/21 - ((-20)/(-14))/5. Let t = x - -671. What is the remainder when t is divided by 15?
12
Suppose -17*a + 407 + 237 = -104. Calculate the remainder when a is divided by 3.
2
Suppose -1197*g + 1183*g = -1958 - 10110. What is the remainder when g is divided by 32?
30
Let m = -161 + 321. Suppose 0 = -5*r + m + 55. Suppose -43 = -4*v + 25. Calculate the remainder when r is divided by v.
9
Let y(a) = 16*a**2 - 169*a - 197. Calculate the remainder when 506 is divided by y(12).
32
Suppose 0 = -0*o + 3*o - 117. Suppose 2*w = f - o, -268 + 102 = -4*f + 3*w. What is the remainder when (-39585)/(-116) + 2/(-8) is divided by f?
40
Suppose -2*k = -3*c + 18, -c + 6 + 0 = 5*k. Calculate the remainder when 60/(c + (9 - 13)) is divided by (-34)/(-2) + 2/(-2).
14
What is the remainder when (-3223)/2*(42 + 5214/(-121)) is divided by 29?
18
Let r be 37/(-5 - 22/(-4)). Let y = r - 49. Calculate the remainder when 173 is divided by y.
23
Suppose -4*m + 922 = 1548 - 998. Calculate the remainder when 4833 is divided by m.
90
Let m = -212 - -242. Let j = m - -39. Let v(o) = 5*o**2 + 2*o + 2. Calculate the remainder when j is divided by v(-2).
15
Suppose -188 = 4*w - 0*w. Let d = 211 + w. Calculate the remainder when d is divided by 15.
14
Suppose 8*f + 4*v - 454 = 3*f, f - v - 89 = 0. Suppose 250 = -f*k + 92*k. What is the remainder when k is divided by 13?
8
Suppose 0 = -2*x + 125 + 47. Suppose -2*j - 700 = -4*z, z = -j - 472 + 626. What is the remainder when z is divided by x?
82
Suppose 85 = 11*t - 6*t + 3*s, -90 = -5*t - 4*s. Calculate the remainder when 12 is divided by (-4)/t - (-1408)/224.
0
Suppose 1126 - 3654 = -2*i. Suppose l = 5*n - i, -9*n + 6*n = 4*l - 763. What is the remainder when n is divided by 64?
61
Suppose 3*q - 103 = -4*a, 224 = -11*a + 202. What is the remainder when q is divided by ((-46)/6 + 2)*-3?
3
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