t is the remainder when c is divided by 3?
1
Suppose 0 = -3*w - 0*w + 462. Let q be 1/(-4) - (-2 + 5/(-4)). Suppose 3*f - q*j = 114, -2*f + 161 = 2*f + 5*j. Calculate the remainder when w is divided by f.
37
Calculate the remainder when 86 is divided by 0 + (1 - -2)*155/93.
1
Suppose 5*z - 4*j = -40 - 11, -4*z = -4*j + 40. Let q = z - -16. Suppose q*d = -2*b + 240, 4*b = -4*d + 189 + 15. What is the remainder when d is divided by 24?
22
Let h(d) = -3*d + 11. Let u be (0/5)/(-1 - 0). Suppose m + u - 8 = i, 0 = -3*i + 4*m - 25. Calculate the remainder when h(i) is divided by 12.
8
Suppose 0 = 2*c - 35 - 239. Suppose 125 = 7*h + 27. Calculate the remainder when c is divided by h.
11
Let p(q) = q**3 + 6*q**2 + 3*q - 1. Let j be p(-6). Let c = -19 - j. Suppose 0*r + 6*r - 78 = c. Calculate the remainder when 23 is divided by r.
10
Let r = 25 - 31. Let h(n) = -n**2 - 7*n + 5. Suppose 0 = 3*i + 3, g = 4*i + 23. Calculate the remainder when g is divided by h(r).
8
Calculate the remainder when (-43 + 37)*334/(-4) is divided by 24.
21
Let w = 15961 + -15674. Suppose -3*j - 31 = -175. Calculate the remainder when w is divided by j.
47
Let x(c) = 2*c**2 - 10*c + 17. Let a be x(18). Suppose 5*b = 345 + a. Let v = -65 + b. Calculate the remainder when v is divided by 26.
23
Suppose 0 = -3*t + 5*t - 2*k - 6, -t + 3 = 4*k. Let l = 6 - t. Suppose -5*j + 313 = -4*m, 3*j + 53 = l*m + 242. Calculate the remainder when j is divided by 21.
19
Suppose -f + 667 = 5*y, -4*y + 3*f - 4*f + 533 = 0. Calculate the remainder when y is divided by 15.
14
Suppose -2*t + 3*j + 12 = 2*j, 2*j = 5*t - 28. Let n = 136 - 16. Let m = -106 + n. Calculate the remainder when m is divided by t.
2
Let o = 15 + -10. Let u(w) = 4*w**2 - 39*w + 2. What is the remainder when u(10) is divided by o?
2
Suppose 0 = -2*m - 4*r + 320, 4*m - 2*m - 5*r - 347 = 0. Calculate the remainder when m is divided by 49.
19
Let o(q) = -q**2 - 41*q - 230. What is the remainder when 70 is divided by o(-34)?
6
Let d = 85 + -37. Suppose -5*p = -2*g + 5*g - d, -g - p = -16. Let f = -11 + g. What is the remainder when 14 is divided by f?
4
Let t = 1580 + -1079. What is the remainder when t is divided by 101?
97
Let k = -524 + 537. Calculate the remainder when 47 is divided by k.
8
Let m(c) = 21*c + 2. Let n be m(3). Suppose 5*j - n = -0*j. Let g = j - 12. What is the remainder when g is divided by 1?
0
Let b(l) be the third derivative of l**6/120 + l**5/10 - l**3/6 + 7*l**2. Calculate the remainder when 53 is divided by b(-2).
8
Let t(m) = -3*m - 1. Let w be t(-10). Suppose 4*y - w = 3*k, 3*y + 4*k = -y + 64. Let o = 5 + y. Calculate the remainder when 30 is divided by o.
14
Let z(m) = -m**3 + 5*m**2 - 6. Suppose y - 27 = 18. Calculate the remainder when y is divided by z(3).
9
Let u(w) = -w**3 - 2*w**2 + 4*w + 15. Let a be u(0). Calculate the remainder when 70 is divided by (10192/(-105))/(-8) + (-2)/a.
10
Let t(h) = h**3 - 3*h**2 + 4*h - 3. Let x be (6/(-8))/(2/(-40)). Suppose 2*j = -2*z + 8, 3*j - x = -z - 3*z. What is the remainder when 34 is divided by t(z)?
7
Let x be (-3 + 1)/(4/(-24)). Suppose -2*u + 10 = -0*u, y + x = 3*u. Calculate the remainder when y is divided by 2.
1
Let o be (-2)/4*-9*32. Suppose 2*t - 6*t = -o. Let i = t + -25. What is the remainder when 31 is divided by i?
9
Let d = 27 - 27. What is the remainder when 10 is divided by (-2 + d + 9)*1?
3
Let z(m) = 1. Let a(d) = 8*d - 28. Let f(s) = a(s) - 3*z(s). Calculate the remainder when 35 is divided by f(5).
8
Suppose 5*x - 2*f = x + 320, -4*f = 8. Let p = x - 29. Calculate the remainder when 247 is divided by p.
47
Suppose 0 = -5*t - s + 14, 0*t + 4 = t - s. Suppose -t - 13 = -4*f, 3*k - 199 = -f. What is the remainder when k is divided by 18?
11
Let m = 30 + 2. What is the remainder when 91 is divided by m?
27
Let r(v) = -2*v - 1. Let a(q) = q**3 + 2*q**2 - 3*q - 3. Let p be a(-3). Let z be r(p). Suppose z = h - 6. Calculate the remainder when 20 is divided by h.
9
Calculate the remainder when (9 - (3 + -1))*124/14 is divided by 13.
10
Let s(h) = h**3 + 5*h**2 - 5*h + 6. Let t be s(-6). Suppose -28 = -t*c - c. Let l = 859 + -849. Calculate the remainder when c is divided by l.
8
Let b = -36 + 38. Suppose 5*i - b*i = -3*t + 138, i - 4*t = 51. What is the remainder when i is divided by 7?
5
What is the remainder when 255 is divided by 208/14*11/(-44)*-14?
47
Let q(a) = -2*a**3 + 11*a**2 + 5*a - 9. What is the remainder when q(5) is divided by 2/7 - (-75)/7?
8
Let h = 472 + -427. What is the remainder when 171 is divided by h?
36
Suppose 9*m = 120 + 186. Calculate the remainder when m is divided by 6.
4
Suppose -5*z = 3*k + 4 - 16, -16 = -4*z + 4*k. Suppose 0 = -z*o + 47 + 112. Suppose -3*j + 73 = -11. What is the remainder when o is divided by j?
25
Let p = 183 + 265. What is the remainder when p is divided by 10?
8
Let l = -41 + 49. Let w(y) = l*y + y**2 - 1 + 0*y**2 - 6*y. Calculate the remainder when w(-3) is divided by 2.
0
Let o be -4*(-8)/4 + -3. Suppose 0 = o*h - 37 - 78. Calculate the remainder when h is divided by 13.
10
Suppose 3*j - 19 = 2*i, j + 2*i + 0*i = 9. What is the remainder when 34/4*j/((-7)/(-4)) is divided by 18?
16
Let i(p) = p**3 + 16*p - 14. What is the remainder when i(11) is divided by 22?
19
Let x = 27 + -30. Let y(u) = 2*u**2 + u + 1. Let a(r) = 3*r**2 + 2*r + 3. Let q(z) = x*a(z) + 5*y(z). Calculate the remainder when q(-4) is divided by 10.
6
Suppose 0 = i + k - 161, 25 + 0 = -5*k. Calculate the remainder when i is divided by 57.
52
Suppose -3*u + 90 = -8*u. Let z = 35 + u. Let w = -2 + z. What is the remainder when 59 is divided by w?
14
Suppose 0 = -5*j + 595 + 245. Calculate the remainder when j is divided by 9.
6
Let k(t) = 2*t**2 + t + 1. Let q be k(2). Let m = q - -3. What is the remainder when ((-1)/(-1) - -39) + (4 - 5) is divided by m?
11
Suppose 0 = -4*p + 5*w - 28, 0 = 3*p + 2*p - 3*w + 48. Let u be 33/(-4) + p/16. Let i = u - -31. What is the remainder when 62 is divided by i?
18
Let q = 10 - 8. Suppose -3*g = -4*w + 75, 0 = -w - q*g - 3*g - 10. Let r(a) = a**2 - a + 9. Calculate the remainder when w is divided by r(0).
6
What is the remainder when 102 is divided by (3 - 4)/(-4 + (-357)/(-91))?
11
Suppose -2*n + 6 = 0, 3*d - 75 = -2*n - 2*n. Suppose -5*t + 268 = 3*s, 3*s - 5*t = 145 + 73. What is the remainder when s is divided by d?
18
Let u be 1/((-1)/12*-4). Suppose -2*c + 90 = c + u*t, -4*t + 153 = 5*c. What is the remainder when c is divided by 12?
9
Let n(c) = -c**3 + 2*c**2 + 5*c + 12. Let d be n(8). Let o = d + 467. Calculate the remainder when o is divided by 23.
20
Let w(c) = -c - 9. Let r(z) = -2*z - 19. Let n(f) = 4*r(f) - 9*w(f). What is the remainder when n(3) is divided by 5?
3
Let k = -30 - -70. Suppose 5*n = 4*x + k, 5*n - 24 = 2*n - 2*x. What is the remainder when (0 + 1)/(1/31) is divided by n?
7
Let q(p) = -16*p - 7. Let x = 28 + -29. What is the remainder when 34 is divided by q(x)?
7
Let g(w) = w**2 + 49*w - 604. What is the remainder when g(11) is divided by 61/4 - (-2)/(-8)?
11
Suppose 4*l = 47 + 73. Suppose l = 5*y - 0. What is the remainder when 24 - -3*(-2)/3 is divided by y?
4
Suppose 0 = -n + 4*j - 3*j + 1, 22 = 2*n + 2*j. Calculate the remainder when -63*(40/15 + -3) is divided by n.
3
Suppose -39*s + 5269 = -10526. Calculate the remainder when s is divided by 83.
73
Let j = -24 - -35. Let k(a) = -4*a - 4. What is the remainder when j is divided by k(-3)?
3
What is the remainder when 1*184 + (-2 - -4) is divided by -4 + -4 + -3 + 30?
15
Let j = 106 - 72. Suppose -p = 18 - j. What is the remainder when 79 is divided by p?
15
Let x = 125 - 74. Suppose 4*g - 29 = x. Suppose 0 - g = -5*y. Calculate the remainder when 18 is divided by y.
2
Let i be (-2)/4 + 30/12. Let n be (-5)/i*32/(-20). Calculate the remainder when 26 is divided by -2 + (16 - 0/n).
12
Suppose 42*j - 54*j + 19980 = 0. What is the remainder when j is divided by 14?
13
Let v = 33 - 25. Suppose 0 = 5*h + 20, -2*s - 4*h - v + 0 = 0. Suppose 84 = -s*f + 260. Calculate the remainder when f is divided by 9.
8
Suppose 0 = -3*b + p + 720, 2*b + 3*p = 525 - 56. What is the remainder when b is divided by 16?
15
Suppose 3*w = -29 + 65. Calculate the remainder when 126 is divided by w.
6
Suppose -7*t + 1312 + 291 = 