 2 = -2*z + 15, 0 = 5*z - 20. Suppose -s + 17 = q - 1, 5*q - 22 = -s. Calculate the remainder when s is divided by c.
8
Let m = 73 - 50. What is the remainder when m is divided by 13?
10
Let f = 8 - -11. What is the remainder when 245 is divided by f?
17
Suppose 17 = -w - 5*f, -2*w + 0*w + 3*f = -18. Calculate the remainder when 9 is divided by w.
0
Let o(p) = 10*p**3 - p. What is the remainder when 24 is divided by o(1)?
6
Suppose 6*r = r - 515. Let u = 153 + r. What is the remainder when u is divided by 13?
11
Let c = -4 - -6. Suppose 3*t - 91 = -c*t - p, 5*p = t - 13. Calculate the remainder when t is divided by (-2 - (-57)/(-9) - -5)*-3.
8
Let f = 111 - 69. Calculate the remainder when 166 is divided by f.
40
Let w(r) = r**2 - r. Let k(p) = p**3 + 9*p**2 + 10*p + 7. Calculate the remainder when k(-7) is divided by w(-3).
11
Suppose 3*i = 57 + 42. Let c = i + -9. Calculate the remainder when c is divided by 13.
11
Let a(f) = f**2 - f - 25. Let x be a(0). Let h = -8 - x. Calculate the remainder when h is divided by 6.
5
Suppose -2*o = 2*d + 2*o - 2, -13 = -3*d - o. Suppose -d*h = -10*h + 50. Calculate the remainder when 38 is divided by h.
8
Suppose 9*k + 10 = 4*k. Let q(y) = -2*y**3 - y**2 + 2*y + 2. Let h be q(k). Let f(i) = -i + 16. Calculate the remainder when 17 is divided by f(h).
5
Suppose -2*o + 2 = -12. Suppose -5*t + 15 = 2*h, -5 = 5*h - 4*h + 5*t. Calculate the remainder when h is divided by o.
6
Suppose 2*i + 2*i = 316. Suppose 0*x - v = -x + 33, 3*x + v - i = 0. What is the remainder when x is divided by 10?
8
Calculate the remainder when 10 is divided by (-1)/(-2*5/70).
3
Let h = -141 + 188. What is the remainder when 88 is divided by h?
41
Let x be 1*0/1 - -18. Let b(n) = n**2 + n + 3. Let t be b(0). Suppose 2*i - x = 4*u - 0*u, i = 5*u + t. What is the remainder when 38 is divided by i?
12
Suppose 46 = 5*b + 4*z - 2*z, -11 = -b - z. Suppose 2*h + 5*d - 11 = 2*d, 2*h - 5*d = -13. What is the remainder when 23/1 - (0 + h) is divided by b?
6
Let y = 11 + -25. Let x(m) = m**3 - 3*m**2 - 6*m - 7. What is the remainder when (-4)/14 - 522/y is divided by x(5)?
11
Suppose 0 = 5*c - 85. What is the remainder when c is divided by 4 + 3 + -2 + 2?
3
Let n(l) = l**2 - 2*l + 3. Suppose 6*u = u + 175. Let y be (-13)/(-5) - (-14)/u. What is the remainder when 22 is divided by n(y)?
4
Let q(x) = -64*x - 3. Suppose -4*b + 36 = -28. Calculate the remainder when q(-1) is divided by b.
13
Suppose -4*u = -7*u + 69. Calculate the remainder when u is divided by 13.
10
Let r(p) = p - 13. Let k be r(11). Let g = 8 + k. Calculate the remainder when 15 is divided by g.
3
Let j(r) = r - 5. Let l be j(7). Suppose l*z + 3 = z. Calculate the remainder when (-10 + 0)/(z/15) is divided by 26.
24
Suppose -60 = 5*q - 230. Calculate the remainder when 124 is divided by q.
22
Suppose -45 = 3*z + 18. What is the remainder when 27 is divided by 216/21 - (-6)/z?
7
Let b be (-45 - 1)*(-5 + 4). Suppose 0 = -5*n - 2*w + 25 + b, n - 5*w + 2 = 0. Suppose 48 = 5*k + n. What is the remainder when 25 is divided by k?
4
Suppose 8*t + 42 = 11*t. Let d = 17 - -24. Suppose -5*v + v = i - 107, d = v + 5*i. Calculate the remainder when v is divided by t.
12
Suppose -8 + 0 = 2*u. Let y = u - -23. Let g = 11 - 4. Calculate the remainder when y is divided by g.
5
Suppose -6*r = -0*r - 60. Suppose 0 = 3*o + 2*o - 15. Suppose -o*w + 12 = -w. What is the remainder when r is divided by w?
4
Let x = 43 + -28. Calculate the remainder when x is divided by 4.
3
Let q(p) = -p**3 + 18*p**2 + p - 12. Calculate the remainder when q(18) is divided by 2.
0
Suppose -y - 4 = r, -5*r + 12 - 30 = 3*y. Let b be ((-4)/(-3))/(r/9). What is the remainder when (b - -1)*62/(-6) is divided by 16?
15
Suppose -3*c - 5 + 38 = -4*v, -c = 3*v - 11. Let u be -50*(-3 - (-2 + 0)). Let a = u - 29. Calculate the remainder when a is divided by c.
10
Let f be -33 - 3/((-6)/2). Let w = -50 - -31. Let l = w - f. Calculate the remainder when 37 is divided by l.
11
Let v be (-23)/(-5) - (-2)/5. Let p(o) = -o**3 + 5*o**2 + o + 3. What is the remainder when 406/28 - 1/(-2) is divided by p(v)?
7
Let f(u) = u**2 + 3*u + 1. Let w(h) = -h + 8 + 2*h - 5*h - h**2. Let q be w(-6). Calculate the remainder when f(q) is divided by 3.
2
Let v = 10 - 7. Suppose -4*o = 16, 133 - 42 = v*t - o. Suppose 3*w + 5*s - t = 0, 5*s = -w + 3*s + 9. What is the remainder when 23 is divided by w?
10
Suppose 0 = -4*c - 0*c + 8, 5*f + c - 7 = 0. Calculate the remainder when 2 is divided by f.
0
Suppose 19 - 109 = -9*y. What is the remainder when y is divided by 6?
4
Suppose -4*j + 80 = 4*z, 65 = 5*j - 3*j - 3*z. Calculate the remainder when 73 is divided by j.
23
Let l(u) = -u**2 + 4*u - 8. Let o be l(8). Let m = o + 71. What is the remainder when 91 is divided by m?
29
Let p(w) = -w**2 + 5*w. Let z be p(4). Suppose 78 = 2*t + z*x - 0*x, 0 = -2*t + 3*x + 43. Let r = 1 - -14. Calculate the remainder when t is divided by r.
14
Let k = -4 - 0. Let b(p) = -p**3 - 6*p**2 + 5*p - 2. Let n be b(k). Let r = n + 82. What is the remainder when r is divided by 10?
8
Let w = 62 - 33. What is the remainder when 113 is divided by w?
26
Suppose 0 = -0*k - 3*k + 42. Let f = k - 8. Let l(x) = -x**2 + 8*x - 3. What is the remainder when 17 is divided by l(f)?
8
Let u = 12 - 4. Let c = 19 - u. Calculate the remainder when 32 is divided by c.
10
Suppose 4*w = 2*x + 286, 4*w + 3*x - 327 = -66. What is the remainder when w is divided by 24?
21
Let g(r) = r**3 + 11*r**2 - r - 5. Calculate the remainder when g(-11) is divided by 5.
1
Let t(q) = q**3 + 8*q**2 + 9*q. Let u(l) = -l**3 + 2*l**2 - 2*l + 4. Let i be u(3). Let a(p) = -2*p + 13. What is the remainder when a(i) is divided by t(-6)?
17
Suppose 0*s - 5*s = 0. Suppose -4*z + 18 = -s*z + 2*m, -5*m + 33 = 4*z. Calculate the remainder when -1*2/6 + 160/30 is divided by z.
1
Let s(f) = f**3 - 7*f**2 + 5*f - 3. Let r be s(5). What is the remainder when (-2 - r/10)*50 is divided by 14?
12
Suppose -y - 14 = -0*y. What is the remainder when 32 is divided by (-4)/y - 450/(-42)?
10
Let v = 0 + 2. Suppose -4*r + v*r = 2. What is the remainder when 18 is divided by (-4)/10*25/r?
8
Let w = 5 - 3. Suppose z - w*d = -10, z - 4*d = -3*z - 20. Suppose 3*o - 2*k = -6*k + 59, z = -2*o - 4*k + 34. Calculate the remainder when o is divided by 9.
7
Suppose 0 = -2*l + 26 - 10. What is the remainder when 37 is divided by l?
5
Suppose 2*d + p - 13 = 0, -5 = -3*d + 2*p + 32. Calculate the remainder when d is divided by 5.
4
Let n be 3 + -4 + 5 + -2. Suppose -h + n + 15 = 0. Calculate the remainder when h is divided by 6.
5
Suppose 0 = -s + 2, 0 = -2*q - 5*s + 36 - 14. Calculate the remainder when 11 is divided by q.
5
Suppose 0 = -3*j - n + 25, 0*n + n - 5 = -j. What is the remainder when 27 is divided by j?
7
Suppose -130 = -18*r + 13*r. Calculate the remainder when r is divided by 7.
5
Let r = 130 - 114. Calculate the remainder when 61 is divided by r.
13
Let q(h) = 2*h**2 + 4*h + 2. Let w be q(-2). Suppose 0*a + 30 = w*a. Calculate the remainder when 27 is divided by a.
12
Let c(v) be the first derivative of v**2 - 5*v + 4. What is the remainder when 59 is divided by c(10)?
14
Suppose 5*k - n + 3*n - 338 = 0, 3*n = -3. Calculate the remainder when k is divided by 14.
12
Let c(r) = r**3 + 8*r**2 + 2*r - 23. Calculate the remainder when c(-7) is divided by 7.
5
Suppose -3*y + 4*y = 3*z + 65, -5*y + 312 = -2*z. What is the remainder when y is divided by 2 + -1 - (-6 - 1 - 8)?
14
Let v(m) = -m - 10. Let z be v(0). Let s = 17 + z. Calculate the remainder when s is divided by 4 - 2/(-1 + -1).
2
Calculate the remainder when 20 - 3*1/(3/2) is divided by 4.
2
Let h be 1/((-542)/(-272) - 2). Let r be h/36 - (-4)/(-18). What is the remainder when (1 + r)*(-6)/3 is divided by 4?
2
Let j = 9 - -3. What is the remainder when (-50 - -4)/((-22)/11) is divided by j?
11
What is the remainder when (-12 - 8)*((3 - 2) + -2) is divided by 6?
2
Suppose -5*t = -6 + 1. Suppose 0 = c - 2*c + 4. Suppose c*s - 8 = -0*s. Calculate the remainder when s is divided by t.
0
Let k = 108 - 19. Calculate the remainder when k is divided by 20.
9
Let n = -1 + 3. Suppose -3*u + 4*a = -14, -4*u + 29 = -n*a - 3. What is the remainder when 28 is divided by (-1 + 0)/((-1)/u)?
8
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