 remainder when 83 is divided by q.
11
Suppose -3*d - 6 = 0, 5*t - d - 53 + 6 = 0. Calculate the remainder when 60 is divided by t.
6
Let t(h) = h**2 - 4*h - 4. Let d(w) = -2*w**2 + 5*w - 5. Let u be d(2). Calculate the remainder when 81 is divided by t(u).
13
Let i(h) = 2*h + 19. What is the remainder when 260 is divided by i(5)?
28
Let s(b) = -2*b**2 - 64*b - 117. Calculate the remainder when s(-26) is divided by 49.
48
Let d = -2 + 4. Suppose -9*x = -7*x - 206. Calculate the remainder when x is divided by 33 - -2*(3 - d).
33
Let b = -440 - -469. Calculate the remainder when 458 is divided by b.
23
Let h = -14 - -16. Suppose -3*p + 2*s = -8, -2*p - 3*s + 18 = h*s. Suppose -1 = -4*w + c + p, 5*c - 15 = 0. What is the remainder when 7 is divided by w?
1
Let y be 1 + 3 + (2 - 4). Let u be (-4 - -4)*1/y. Suppose u*b + 14 = b. Calculate the remainder when 40 is divided by b.
12
Suppose 23*q - 1302 = -8*q. What is the remainder when 331 is divided by q?
37
Suppose 0 = 4*g + 4, 0 = -n + 3*g - 0*g + 80. Suppose -3*r = m - n, 4*r - 2*m - 90 = 3*m. Calculate the remainder when 69 is divided by r.
19
Let f = -45 + 163. What is the remainder when f is divided by 36?
10
Let m = 18 + 7. Suppose -4*n = -11 - m. Calculate the remainder when 15 - (40/(-4) + 2 + (8 - 2)) is divided by n.
8
Let w(t) = -3*t**3 - t**2 - t - 1. Let o be w(-1). Let k(u) = -24*u + 5. Let p be k(-10). Suppose 3*c + o*c = p. What is the remainder when c is divided by 13?
10
Suppose 0*t = 5*t - 5*g - 35, -3*t + 27 = -5*g. Let c be 2*(78/t - 2). Calculate the remainder when 19 is divided by 14/c + (-96)/(-10).
9
Let a(d) = d**3 - 6*d**2 + 5*d + 6. Let u(p) = -12*p + 34. Let t be u(0). What is the remainder when t/3*(1 - 2/(-4)) is divided by a(5)?
5
Suppose -44 = 3*o - 4*d, 5*d - 11 = 2*o + 23. Let x be 4275/o - 6/8. What is the remainder when x/(-27) - 6/27 is divided by 3?
1
What is the remainder when 99 + 12 + 0/(-3) is divided by 47?
17
Let i = 30 + 36. Let f = 58 - 44. Calculate the remainder when i is divided by f.
10
Let j = 34 + 38. Suppose -4*o = -2*o - m - 63, -3*m + j = 3*o. Suppose -7 - o = -4*y + 4*i, 0 = -y - 4*i + 9. What is the remainder when 34 is divided by y?
7
What is the remainder when 52 + 10 - (4 - 13) is divided by 13?
6
Let f(b) = 2*b + 2. Suppose -k + 4 + 8 = 0. Let n = 18 - k. Calculate the remainder when f(4) is divided by n.
4
Calculate the remainder when (-10 - (3 - 0))*-9 is divided by 36.
9
Let q(d) be the third derivative of d**5/60 + d**4/3 - 4*d**3/3 - 15*d**2. Let y be 4/10 - 104/10. Calculate the remainder when 23 is divided by q(y).
11
Let l(c) = -c**3 - 16*c**2 - 20*c - 13. Let m = -29 + 14. What is the remainder when l(m) is divided by 16?
14
Let x(i) = -14*i + 6 - 1 + 0 + i**2. Suppose 9 = m + g - 6, -5*g - 15 = -m. Calculate the remainder when 77 is divided by x(m).
17
What is the remainder when 105 is divided by (10/25)/(1/(-135)*-3)?
15
Suppose 7 = c - 7. Suppose -618 = -s - 5*s. Suppose 4*o - 3*u = s, 4*u = -0*u - 4. What is the remainder when o is divided by c?
11
Let p = 24 + -18. Let b be 0*-3*(-1)/p. Suppose 3*k - 3 + 11 = 2*g, 4*g - 4*k - 20 = b. Calculate the remainder when g is divided by 2.
1
Let g(c) = -11*c + 215. Calculate the remainder when 406 is divided by g(12).
74
Suppose 0 = -7*s + 25*s - 162. What is the remainder when 16 is divided by s?
7
Suppose 0 = -4*u + 14 + 10. Suppose -10 + 32 = f - n, 2*f - 44 = -3*n. Calculate the remainder when f is divided by u.
4
Let p = 135 + -128. Calculate the remainder when 41 is divided by p.
6
Let c(g) = 7*g**2 - g + 5. Let o(v) = v**3 + 16*v**2 + 22*v + 20. Let a be o(-15). Let l = a - -114. Calculate the remainder when c(4) is divided by l.
26
Let i = 92 + -82. Suppose -2*p - 3*p + 5*f = -90, i = p + f. What is the remainder when 69 is divided by p?
13
Let q = -95 - -174. What is the remainder when q is divided by 31?
17
Suppose -26 = -3*x + 58. Suppose -2*a = -5*u - 113, 424 = -2*u + 422. What is the remainder when a is divided by x?
26
Suppose k = -3, 2*j + 4*k - 88 = -2*j. Suppose -3*l - 9 = f, 3*f - 4*l = -0*l + j. Calculate the remainder when f is divided by 3.
0
Let m = 45 - 25. Suppose 3*q - 3*x = 6, q + 2*x - 7*x - 10 = 0. Suppose 0*o - 2*o - 4*t = -38, 3*t - 12 = q. Calculate the remainder when m is divided by o.
9
Let y(l) = -2*l**2 + 42*l - 142. Calculate the remainder when y(16) is divided by 3.
0
Let v(y) = -y**2 + 5*y + 4. Let g be v(7). Let p = g - -40. Suppose -z = -2*t + 21, 3*z - 67 + 20 = -4*t. What is the remainder when p is divided by t?
8
Let l = 291 - 3. What is the remainder when l is divided by 73?
69
Let u = 155 - 85. Calculate the remainder when 408 is divided by u.
58
Let x(i) = i**2 - i + 1. Let n be x(2). Let a = 369 + -367. Suppose -2*u = a*j - n*u - 9, -3*j + 36 = 3*u. Calculate the remainder when 32 is divided by j.
4
Let k = -43 - -47. Suppose -120 = k*p - 9*p. Calculate the remainder when p is divided by 8.
0
Let o = -2484 - -2499. Calculate the remainder when 985 is divided by o.
10
Suppose 32*p = 31*p + b + 81, p + 5*b = 69. What is the remainder when 287 is divided by p?
50
Let q(r) = 12*r - 15. Let u(g) = 25*g - 31. Let o(s) = 9*q(s) - 4*u(s). Let h = 16 - 0. What is the remainder when o(h) is divided by 30?
27
Let i be (19/2)/((-12)/48) + 2. Let p = i - -49. What is the remainder when 22 is divided by p?
9
Let f = 1510 + -1398. Calculate the remainder when f is divided by 41.
30
Let u(h) = -1. Let t(a) = -2*a**2 + a - 3. Let m(l) = -t(l) - u(l). What is the remainder when 127 is divided by m(4)?
31
Suppose 372*b = 350*b + 9152. Calculate the remainder when b is divided by 42.
38
Let q = -78 - -80. Suppose -3*l + 16 + 3 = -4*w, -q*w - 16 = -2*l. What is the remainder when 24 is divided by l?
11
Let a be (9/(-6))/(5/10). Let w(r) = 2*r**2 + r - 6. What is the remainder when (104/(-20))/(2/(-10)) is divided by w(a)?
8
Calculate the remainder when 170 is divided by -11 + 15 - 9/1*-5.
23
Let f(x) = 13*x - 58. What is the remainder when f(14) is divided by 32 - (1 + (-2)/2)?
28
Let u(o) = o + 7. Let n be u(-4). Suppose -46 = x - n*x. Calculate the remainder when 137 is divided by x.
22
Let o(x) = -15*x**3 + 1. Calculate the remainder when 20 is divided by o(-1).
4
Suppose 16*l - 18*l - 146 = 0. Let f = l + 187. Suppose 5*p - 111 = f. What is the remainder when p is divided by 23?
22
Let b(s) = -3*s - 25. Let y be b(-9). Suppose -3*w - y*w = -4*o - 172, 4*o - 20 = -w. Calculate the remainder when 63 is divided by w.
31
Suppose -123 = -5*m + 2*m. Suppose -20 = -6*o - 20. Suppose -5*r - 20 = o, 3*r + r = -y - 5. Calculate the remainder when m is divided by y.
8
Calculate the remainder when ((-6)/(-56)*7)/(1/492) is divided by 75.
69
Let u be 0 - -1 - (-2)/2. Suppose -5*p - 11*w + 104 = -13*w, 4*w + 8 = 0. Suppose u*z - p = z. Calculate the remainder when z is divided by 11.
9
Suppose 4*f - 573 - 291 = 0. Suppose -f = -7*t - 48. What is the remainder when 45 is divided by t?
21
Let o(c) = 15*c - 55. Calculate the remainder when o(4) is divided by 1.
0
Let t(u) = -15*u**3 + 3*u**2 + 10*u + 5. Let q(l) = l**3 + 5*l**2 + 5*l + 2. Let r be q(-4). Calculate the remainder when t(r) is divided by 10.
7
Suppose 90 = -6*k + 3*k + 8*k. What is the remainder when -1 + 0 - (-62 + 3) is divided by k?
4
Let f be (24/15)/(2/((-20)/(-2))). What is the remainder when 45 is divided by (-3)/(-1*26/f + 3)?
9
Suppose -5*r = -4*x - 595, r - 167 = -x - 39. What is the remainder when r is divided by 39?
6
Let j(x) = 52*x**2 - 6*x - 5. Let k be (1*(-4 + 5))/(-1). What is the remainder when j(k) is divided by 18?
17
Let o(n) = 11*n**3 - 2*n**2 - 13*n + 32. What is the remainder when o(2) is divided by 25?
11
Let g(l) = 9*l + 68. What is the remainder when 24 is divided by g(-7)?
4
Suppose 4*p - 3*k = 4 - 15, -k + 6 = p. Let b(u) = 5 + 4*u**2 - p - 3 - 3*u**2. Calculate the remainder when 38 is divided by b(-3).
8
Let q be 1*(-15)/(-12)*4. Suppose 3*c = q*c + 4*u - 42, u - 2 = 0. What is the remainder when 31 is divided by c?
14
Let m = 302 + 94. Suppose -3*k + m = 3*k. Let s(y) = -2*y**3 - 4*y**2 - 2*y - 1. Calculate the remainder when k is divided by s(-3).
20
Let u(i) = 4*i**2 + 13*i - 176. Calculate the remainder when u(-16) is divided by 107.
105
Suppose 2*t + 3*t + 347 = 4