. Let z = 589 - w. Calculate the remainder when z is divided by 20.
3
Suppose -3*z + 0*z = -144. Suppose -5*d = -157 - z. Calculate the remainder when d is divided by (8 + 670/(-55))/((-4)/22).
18
Let p = -16 - -19. Suppose 0 = -5*o + 5*z + 165, p*z - 21 = -o + z. Calculate the remainder when -15 + 7 + 6 - -262 is divided by o.
28
Let i = 10234 - 6802. Calculate the remainder when i is divided by 18.
12
Suppose -4*q - 5*p = -q - 5, -4*p = 2*q. Let n(c) = -c**3 - 37*c**2 + 79*c + 77. What is the remainder when n(-39) is divided by q?
8
Let j = -12159 + 12353. What is the remainder when j is divided by 191?
3
Let s be ((-30)/(-9))/(-10) - 358/6. What is the remainder when (-143)/26*s/33 is divided by 7?
3
Suppose -4*m + 39 = -l, 4*l + 3 + 9 = 0. Suppose -4*r - 372 = -436. What is the remainder when r is divided by m?
7
What is the remainder when (0 + -4)*(-8600)/80 is divided by 118?
76
Suppose 15*g + 585 = 12*g. Let u = g + 250. What is the remainder when u is divided by 10?
5
Suppose -34*h = -37*h + 999. Calculate the remainder when (h/(-12))/(-3)*64/16 is divided by -2 - (-4)/((-8)/(-26)).
4
Suppose 4*i = 5*i - 2. Let o be 5 - (1 + 1 - i). Suppose 0 = o*d - 98 + 18. Calculate the remainder when d is divided by 9.
7
Let a(k) = -3*k - 18. Let w be (2 - 4) + 21/7. Suppose -11 = -j - w. Calculate the remainder when a(-18) is divided by j.
6
Suppose 0 = -j - 7 + 35. Let w = 1254 + -1173. What is the remainder when w is divided by j?
25
Let r be (-2)/7 - 250/7. Suppose 1147*g - 1159*g + 108 = 0. What is the remainder when (-820)/r + 2/g is divided by 9?
5
Let s = -493 - -742. Suppose 10*l = 7*l + s. Calculate the remainder when l is divided by 28.
27
Suppose -3*s - 137 + 464 = 0. Calculate the remainder when 246 is divided by s.
28
Suppose -20*m + 8*m = -18*m + 468. What is the remainder when m is divided by 15?
3
Let l(q) = 9*q + 48. Let x(y) be the third derivative of y**4/6 - y**3/3 - 2*y**2. Let m be x(5). What is the remainder when l(m) is divided by 53?
51
Suppose 7*h - 19 = 8*h. Let l be 1/2*(19 + h). Suppose 0 = 2*x + 4, -s - 2*x - x + 1 = l. Calculate the remainder when s is divided by 4.
3
Suppose 10*p - 15*p = -80. Let w = -10856 + 11045. Calculate the remainder when w is divided by p.
13
Suppose 0 = 128*o - 832127 - 280193. Calculate the remainder when o is divided by 18.
14
Suppose 3*z = -2*d - 16765 + 46294, 0 = -5*d + z + 73814. What is the remainder when d is divided by 69?
66
Let b(r) = -r**3 - 12*r**2 + 23*r - 51. Let u(d) = -d**3 + 12*d**2 - 11*d - 2. What is the remainder when u(10) is divided by b(-14)?
12
Suppose 39 + 206 = 7*z. Suppose -29 = -3*f - 4*p, -z = -3*f - 3*p - 11. Let a(t) = -t**3 + 5*t**2 - 2*t - 1. Calculate the remainder when 20 is divided by a(f).
9
Suppose 3*k = 15 - 93. Let u = 16 - k. Let r = u + -18. What is the remainder when 44 is divided by r?
20
Let m(x) = -2*x**2 - 53*x - 76. Let c be m(-25). Let q(k) = -106*k - 15. Calculate the remainder when q(c) is divided by 32.
27
What is the remainder when 1156*98/224 - (-1)/4 is divided by 102?
98
Let i(x) = 13*x**2 + 182*x + 59. Calculate the remainder when 909 is divided by i(-14).
24
Suppose -623*a - 3*l + 5094 = -621*a, -5*a - 3*l + 12708 = 0. Calculate the remainder when a is divided by 21.
18
Let u = 1917 + -1875. Calculate the remainder when 110 is divided by u.
26
Let o(j) = 81*j**2 + 9*j + 12. Suppose 2*w - 43 = -v, 0 = 3*w + 12*v - 13*v - 57. What is the remainder when o(-2) is divided by w?
18
Let z(x) = 12*x**2 + 4*x + 7. Suppose -274 + 22 = -7*y. Calculate the remainder when z(4) is divided by y.
35
Let q(u) = u**3 + u + 12. Suppose 523 = 4*h + k, -127*h + 94 = -126*h - 5*k. What is the remainder when h is divided by q(0)?
9
Let f = 128 + -124. Suppose 38*v - 39*v = -f. Let d(b) = -b**3 + 8*b**2 - 12*b + 9. What is the remainder when d(v) is divided by 11?
3
Let m(o) = o**2 + 44*o + 308. Let s(n) = 2*n**3 - n**2 + 3*n + 2. What is the remainder when s(5) is divided by m(-37)?
46
Let g = 94 - 57. Let t = -739 - -788. What is the remainder when t is divided by g?
12
Suppose -3*w + 248 = -2*q, -25*w + 4*q = -29*w + 324. Calculate the remainder when 360 is divided by w.
32
Suppose -4*x - 887 = -3*n, 4*x = 8*n - 7*n - 893. Let u = x + 396. Suppose -15*f + 13*f = -u. What is the remainder when f is divided by 8?
6
Let l(f) = -f**3 + 3*f**2 + 6. Let p be l(2). Suppose -p*v + 47 + 3 = 0. Let x(c) = -c**3 + 6*c**2 - 3*c + 1. What is the remainder when x(5) is divided by v?
1
Suppose 2*w - 10 = b, -7*w + 2*w - 2*b = -7. Suppose 0 = w*h - 4*x - 259, 269 = -3*h + 6*h + x. Calculate the remainder when h is divided by 25.
14
Suppose -107*h + 566 = -27541 - 3244. Calculate the remainder when 510 is divided by h.
217
Suppose -56*q = -96*q - 92*q + 9900. Calculate the remainder when 2697 is divided by q.
72
What is the remainder when 12 + 718 + 1 - (-2)/(-12)*0 is divided by 188?
167
Let l(g) = g**3 + 19*g**2 - 54*g - 198. What is the remainder when 1131 is divided by l(-21)?
51
Suppose -4 = -3*m + 2. Suppose 0*l = -l + 32. What is the remainder when (-3 + (-12)/(-5))/(m/(-410)) is divided by l?
27
Suppose 2*k - 196 = 222. Calculate the remainder when k is divided by 18.
11
Suppose -41*w + 818 + 19141 - 2780 = 0. What is the remainder when w is divided by 9?
5
Let d = 75 + -16. Let v(f) = -30*f + 383. What is the remainder when v(3) is divided by d?
57
Suppose 4*v = -2*k + 2212, -v - 5698 + 146 = -5*k. What is the remainder when k is divided by 160?
150
Suppose -5*b = 2*b + 98. Let h be (-12 - -5)*4/b. Suppose 5*s - h*c - 215 = 0, -2*s - 3*s + 185 = 4*c. Calculate the remainder when 162 is divided by s.
39
Suppose -7*j - 4 = -4*j + 4*q, 4 = -4*j - 5*q. Suppose -35 = -j*c + 1. Calculate the remainder when (3 - 3)/1 - -35 is divided by c.
8
Suppose 5*r - 2 = 18. Suppose r*a - 20 = 44. Calculate the remainder when 11/(-2)*7*-2 is divided by a.
13
Let j(m) = m**2 + 5*m - 12. Let h be 2 + 0/(3 + -1 - 3). Suppose v = -2*f + 5, -h*v + 0*v + 28 = -2*f. Calculate the remainder when j(6) is divided by v.
10
Let p = -5077 - -6378. Calculate the remainder when p is divided by 8.
5
Suppose -2*o + 74 = -3*j, -4*o + 4*j - 8*j + 128 = 0. Calculate the remainder when 5/(-3)*-3 + 56 is divided by o.
27
Let t = 1277 - 1270. Suppose -108 = 9*d - 279. What is the remainder when d is divided by t?
5
Let k(f) = 6*f**2 + 69*f + 332. Calculate the remainder when k(-7) is divided by 81.
62
Let f(u) = 2*u**2 - 10*u + 2. Let a(r) = 24*r - 105. Suppose b + 10 - 15 = -k, -3*b - k + 17 = 0. Calculate the remainder when f(9) is divided by a(b).
35
Calculate the remainder when 29 - -8 - -2*(-6)/(-2) is divided by 14 + 0/(-1) + 1.
13
Suppose 52*v = 181*v - 28896. Calculate the remainder when 998 is divided by v.
102
What is the remainder when ((-522)/(-348))/(0 - (-6)/956) is divided by 56?
15
Let r be 25/(-5)*-8 - -4. Suppose 0 = 49*u - r*u - 50. Suppose -22 - 108 = -5*d. Calculate the remainder when d is divided by u.
6
Suppose 31*z - 1000 - 537 = -204. What is the remainder when z is divided by (-11)/(-1) + (-2)/1?
7
Suppose 3*l - 20*l = 13*l - 15660. What is the remainder when l is divided by 2?
0
Let y(k) = 667*k - 70026. Let g(f) = 20*f**2 + f + 1. What is the remainder when g(-3) is divided by y(105)?
7
Let n(v) = -v**2 - 2*v + 27. Let y = 23 + 25. Suppose 7*p = -p + y. Calculate the remainder when n(0) is divided by p.
3
Let v(j) = 9*j + 12. Let n be v(8). Let t(z) = 2*z + n + 0*z - z - 2*z. What is the remainder when t(0) is divided by 29?
26
Suppose 5*w = 4*w + 9. Let h(p) = -4*p + 259. Let b(d) = -2*d + 172. Let q(u) = 7*b(u) - 5*h(u). What is the remainder when w is divided by q(16)?
4
Let y(r) = -58 - 37 + 9*r + 18. What is the remainder when 225 is divided by y(15)?
51
Let n(p) = -11*p - 6. Let t be n(-1). Let z be (-2)/t + (-264)/(-60) - 1. What is the remainder when 207 is divided by (14/10)/(z/75)?
32
Let y = -4266 + 7558. Calculate the remainder when y is divided by 122.
120
Let a(u) = -2*u - 5. Let v be a(-5). Let g = v + -2. Let i = 39578 + -39561. Calculate the remainder when i is divided by g.
2
Suppose -4*u + l + 482 = 0, 4*u - 471 = -5*l - 1. Calculate the remainder when 497 is divided by u.
17
Let y = -5608 - -6338. What is the remainder when y is divided by 8?
2
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