t z = q + -59. Let p(y) = y**2 - 3*y - 1. Calculate the remainder when z is divided by p(-2).
6
Let m(l) = 3*l**2 + 4*l - 3. Let z = 97 - -35. Let q = -102 + z. What is the remainder when q is divided by m(2)?
13
Suppose -45*o - 22*o = 16*o - 20252. What is the remainder when o is divided by 52?
36
Suppose -67*f - 666*f + 6597 = 0. What is the remainder when 250 is divided by f?
7
Let w(z) = -3*z + 9. Suppose 4*m + 225 = 4*r + 9*m, 5*r - m = 245. Calculate the remainder when r is divided by w(-3).
14
Suppose 4 = 4*r, 1248 = 4*w - 3*r - 229. What is the remainder when w is divided by 59?
16
Let b(y) = -y**2 + 2*y + 19. Let n be b(5). Suppose -120 = n*a - 3*a. Let x = 248 + a. Calculate the remainder when x is divided by 10.
8
Let s(t) = -3*t**3 - 39*t**2 - 71*t - 40. What is the remainder when 2518 is divided by s(-11)?
13
Let w(i) = -i**3 - 9*i**2 - 12*i - 47. Let h be w(-6). What is the remainder when (-1 - h) + (-1 - 7) is divided by 25?
24
Let i be 2085/(-33) - (-4)/22. Calculate the remainder when ((-42)/i)/(4/138) is divided by 7.
2
Let r = -2 - -6. Let d(k) = k**2 + 13*k - 10. Let j be d(-14). Suppose -3*n + 342 = r*x, j*n + n + 74 = x. Calculate the remainder when x is divided by 43.
41
Calculate the remainder when (2/(-8) - 0) + -124*990/(-288) is divided by 121.
63
Suppose -1058 = -28*n + 1045 + 893. Calculate the remainder when 959 is divided by n.
103
Let f(i) = -166*i - 803. Calculate the remainder when 5370 is divided by f(-5).
24
Let m = -312 - -459. Suppose -34*i = -3*l - 33*i + m, -147 = -3*l - 4*i. Calculate the remainder when l is divided by 48.
1
Let z be 12/(3*(-4)/24). Suppose h = -3*w - 5, w + 6*h - 1 = 3*h. Calculate the remainder when w/3 - 712/z is divided by 10.
9
Suppose 3*f + 3*r - 6600 = 0, 236*f - r + 4404 = 238*f. Calculate the remainder when f is divided by 122.
8
Let x(y) be the first derivative of -23*y**2/2 - 146*y + 83. Calculate the remainder when 43 is divided by x(-7).
13
Suppose 0*c = -3*c + 18. Suppose 0 = -4*j - 2*n + 86, j - 4*n - 29 = -3*n. Calculate the remainder when j is divided by c.
0
Let h(i) = 10*i**2 - 8*i + 1. Let m be h(-1). Suppose 2*t = 11 + m. What is the remainder when 298 is divided by t?
13
Let c = 6 + 2. Suppose c = o - 22. Suppose 3 = -3*s + o. Calculate the remainder when 14 is divided by s.
5
Let o = -293 - -329. Let d = o - 4. Calculate the remainder when 77 is divided by d.
13
Suppose 3*b + 1056 = 7*b. Let w = 287 - b. What is the remainder when w is divided by 8?
7
Let g(a) = -413*a**3 - 71*a**2 - 74*a - 3. Calculate the remainder when 433 is divided by g(-1).
20
Suppose -2 - 43 = 9*j. What is the remainder when ((-2219)/(-28) - j)*4 is divided by 68?
65
Suppose 5*y - 87 = -n, 10*n + 4*y - 5*y - 615 = 0. What is the remainder when 309 is divided by n?
61
Let v = -2756 - -2772. Calculate the remainder when 18 is divided by v.
2
Let z = -2407 + 2421. What is the remainder when 6395 is divided by z?
11
Suppose -9*w = -2*t - 368, -7*t + 6*t - 124 = -3*w. Let l be ((-2 - -1) + 2)*2. Calculate the remainder when 1/(-2)*l + 160 is divided by w.
39
Let g(q) = -9*q - 31. Let t be g(-4). Calculate the remainder when 290 is divided by 1600/20 - (0 + t).
65
Let u(d) = -d**2 + 36*d - 37. Let m be (-11)/(-44)*12*(-58)/(-6). Calculate the remainder when u(m) is divided by 17.
13
Suppose 18 = 3*o - 2*o. Let u = -2766 - -2925. Calculate the remainder when u is divided by o.
15
Suppose 4*v + 4*m = -4, -v + 3*m - 1 = m. Let q = 247160 + -247157. What is the remainder when q is divided by 2 + v + 1/1?
1
Let t(o) = -2*o**3 + 11*o**2 - o + 124. Calculate the remainder when t(0) is divided by 90.
34
Let c(i) = -2*i**2 - 60*i - 83. What is the remainder when c(-15) is divided by 90?
7
Let d be -5*((-265)/525 - 6/63). Suppose -f + 91 = d*q, -42*f + 46*f - 2*q = 294. What is the remainder when f is divided by 43?
33
Let z(u) = -8*u**2 - 5*u - 12. Let b(n) = -15*n**2 - 9*n - 23. Let v(t) = -6*b(t) + 11*z(t). Calculate the remainder when 202 is divided by v(-4).
34
Let c = 26 + -24. Let r(t) = 4*t**2 + t + 3. What is the remainder when r(2) is divided by c?
1
Suppose -74*m + 73*m + 1 = 0. Suppose 0 = 4*j + 2*n - 6, -j = -3*j - 5*n - 17. What is the remainder when (4/(-3 - -11))/(m/14) is divided by j?
3
Calculate the remainder when (-296 - -3)*(0/10 - 1) is divided by 65.
33
Let q = 6203 + -6181. Calculate the remainder when 1/4 - (-143)/4 is divided by q.
14
Suppose -4*d - 1640 = -v + 5*d, 3*v - d - 4894 = 0. What is the remainder when v is divided by 21?
14
Suppose 0 = -4*p + 12, 0*u + u = -p. Suppose -3*l + 204 = 4*a, -2*a + 5*l = -101 + 25. What is the remainder when a is divided by (-12)/66 + ((-936)/(-66) - u)?
14
Let a = 2624 + -2619. Suppose -5*i - 1 = -11. Suppose 7*u - 15 = i*u. Calculate the remainder when a is divided by u.
2
Let w be 0/(-3 + 1 - 0). Let h = w + 13. Calculate the remainder when 345/9 + (-2)/6 is divided by h.
12
Suppose -108*p = -145*p - 147*p + 9936. What is the remainder when 8530 is divided by p?
52
Let a(o) = 2*o**2 - 4*o - 13. Let j(l) be the second derivative of l**4/12 - 3*l**3/2 + 33*l**2/2 - 37*l. What is the remainder when j(17) is divided by a(5)?
16
Let g(i) be the first derivative of i**3 - 17*i**2/2 + 14*i + 102. Calculate the remainder when 318 is divided by g(6).
18
Let l(d) = 354*d - 3164. What is the remainder when (-2)/(-3) + (-259)/(-3) is divided by l(9)?
21
Let r(k) = 23*k - 38. Let n(g) = -2*g**3 + 9*g**2 - 4*g + 2. Let v be n(4). Suppose 3*f + 12 = 45. What is the remainder when f is divided by r(v)?
3
What is the remainder when (178779/115 - 13) + 4/10 is divided by 43?
37
Let r(j) = 18*j + 149. Let h be r(-8). Suppose 4*w - 9*w = -2*q + 59, 0 = -q + h*w + 42. Calculate the remainder when 43 is divided by q.
9
Let z = -19060 - -19851. Calculate the remainder when z is divided by 89.
79
Suppose 46*v + 5*t = 50*v - 125, -5*v - 2*t + 115 = 0. What is the remainder when 1995 is divided by v?
20
Let s = -1883 - -2506. Calculate the remainder when s is divided by 57.
53
Let d be ((-292)/(-6))/((-3)/9*2). Let a = d - -76. Let z = 27 + a. What is the remainder when z is divided by 16?
14
Calculate the remainder when (17759/258)/(1/6) is divided by 13.
10
Let x = -34999 - -35092. Calculate the remainder when 954 is divided by x.
24
Let m be (-1)/((-3)/6) - -62. Calculate the remainder when (525/(-28))/((-8)/m) is divided by 34.
14
Suppose 3*c - 6*z = -5*z + 2047, 4*c = 5*z + 2733. Suppose 0 = 29*s + 2*s - c. Calculate the remainder when 218 is divided by s.
20
Suppose -2*y + 93 = 5*w, 5*y + 25 - 1 = w. What is the remainder when w is divided by 8?
3
Suppose 0 = 2*d + 1 - 11. Suppose -26 = -d*g - 6. What is the remainder when 0 + (64 - 3)*g/2 is divided by 31?
29
Suppose -3*l - 4*h = -2*l - 48, 2*l - 126 = -2*h. Let m = -68 + l. Suppose m = -6*f + 75 + 15. Calculate the remainder when 50 is divided by f.
5
Suppose -10 = 21*z - 10. Suppose z = -15*s + 825 + 375. Calculate the remainder when 231 is divided by s.
71
Suppose -3*l + 21 = -3*t, -2*l + t - 2 = -14. Suppose -2*d = 3*d + 4*f + 12, 2*d + f = -3. Suppose c + d = l. What is the remainder when 17 is divided by c?
2
Suppose 6*z = -z + 1806. Suppose -z = -5*t + 62. Suppose 1 = -r + t. Calculate the remainder when r is divided by 11.
8
Let m(o) = 16*o - 533. What is the remainder when m(55) is divided by 132?
83
Suppose -8*w + 5 + 19 = 0. Suppose -q = -v + 42, -v = w*v - 2*q - 158. What is the remainder when v is divided by 7?
2
Let p(y) = -44*y**3 - 1. Suppose 0 = 850*o - 852*o - 356. Let j = -166 - o. Calculate the remainder when p(-1) is divided by j.
7
Suppose -22 - 2 = -3*w. Let b be 3/(-24)*2 - (-26)/w. Suppose b*c - 2*s = 43, -s - 2*s = -3*c + 42. What is the remainder when 42 is divided by c?
12
Let f(b) = -3*b**2 + 55*b - 12. Let q be f(18). Let n(r) = 72*r - 70. Calculate the remainder when n(q) is divided by 28.
26
Let s = -12466 - -12817. What is the remainder when 1334 is divided by s?
281
Let v = 61 + -52. Suppose v*i = -107 + 602. What is the remainder when i is divided by 18?
1
Suppose c = -5*v + 463, 2*v + c + 3*c = 196. Suppose -v*y + 94*y = 46. Let p = y - -7. What is the remainder when 147 is divided by p?
27
Let y = 17182 - 16838. What is the remainder when 347 is divided by y?
3
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