42)/(-14) is divided by t(h).
9
Let n = -37 - -64. Let r = 18 + -8. Calculate the remainder when n is divided by r.
7
Suppose 22*v = 24*v - 40. Suppose 0 = -2*f + 6*f - v. Suppose -6*s + f*s = -35. Calculate the remainder when s is divided by 6.
5
Let d(b) = 2*b**2 - b - 4. Let g be d(4). Suppose 2*z + 4*z - g = 0. What is the remainder when (-8)/6*18/(-4) is divided by z?
2
Let d = -18 + 27. Let v = 15 + -14. Calculate the remainder when v + 1 + 132/4 is divided by d.
8
Suppose 312 = 4*p - 4*q, -2*p - 5*q + 48 = -p. Calculate the remainder when p is divided by (-10)/(-7)*14 + 6 + -1.
23
Let q(u) = -2*u - 27. Let p be q(-12). Let f(w) = -6*w - 12. Suppose -2*t - 50 = -5*s, -3*t = 5*s - 0*t - 50. Calculate the remainder when s is divided by f(p).
4
Calculate the remainder when 2/(40/1735) + (-2)/(-8) is divided by 27.
6
Calculate the remainder when (1 + -30)*(-19 - -2) is divided by 33.
31
Let t(u) = 2*u**2 + 31*u - 96. Calculate the remainder when t(-23) is divided by 9.
6
Let m(c) = -2*c - 12. Let h be 62/(-5) - (21/(-15) - -2). Calculate the remainder when 55 is divided by m(h).
13
Suppose 18*k = 16*k + 4, 5*v - 32 = 4*k. Suppose 2*u = 7 + 53. Calculate the remainder when u is divided by v.
6
Suppose 3*v - 216 = -5*z, z + 0*v - 3*v - 36 = 0. Let o = 111 - 89. What is the remainder when z is divided by o?
20
Suppose 0 = -4*u + 47 + 13. Suppose -27 = -2*d + u. Suppose -7 = -b + 1. What is the remainder when d is divided by b?
5
Suppose -p - 8 = -c, -5*c + 3*p + 34 = -0*c. Calculate the remainder when 112 is divided by (c - 3)*((-29)/(-2) - 0).
25
Suppose w - 5 = 9. Suppose -28*m = -29*m + 13. Suppose -m*n + 18*n = 200. Calculate the remainder when n is divided by w.
12
Let p = 7 - 4. Suppose 0 = y + p*y. Suppose y = 4*d - 63 - 25. What is the remainder when 64 is divided by d?
20
Let q(g) = 8 - 25*g - 12 - 5. Let n be q(-5). Suppose -3*v = -z - 146, -n + 17 = -2*v + z. What is the remainder when v is divided by 12?
11
Calculate the remainder when 116 is divided by (-9)/(-6)*(-782)/(-69).
14
Suppose 36 + 254 = 10*d. Calculate the remainder when 132 is divided by d.
16
Suppose -20*w = -22*w. Suppose w*z + 6 = -2*z. Let q = z - -5. Calculate the remainder when 2 is divided by q.
0
Let i be 223 + (-4)/6 + (-24)/(-9). Suppose -280 = -5*n + i. What is the remainder when n is divided by 52?
49
Let r = 575 - 434. Calculate the remainder when r is divided by 6.
3
Suppose 4*h = u - 10, 2*u - h - 13 = -0*u. Suppose 2*d - 35 = -31. What is the remainder when u is divided by d?
0
Let u = -290 - -899. Calculate the remainder when u is divided by 17.
14
Suppose 3*r - 155 = 16. Suppose 2*p + p = 36. What is the remainder when r is divided by p?
9
Let v(f) = 21*f**2 - 11*f - 20*f**2 - 1 - 3*f - 8. Let w be v(18). Suppose -4*d = 2*h - w + 9, -25 = -5*h. What is the remainder when 30 is divided by d?
8
Suppose -12 + 2 = -z + q, -34 = -3*z + q. What is the remainder when z is divided by 7?
5
Let w be (-21)/(-4) + 2/(-8). Suppose o = -w*i + 430, -5*i - 5*o + 415 = -7*o. What is the remainder when i is divided by 29?
27
Calculate the remainder when ((-352)/40)/(12/(-30)) is divided by (-1)/(-2) - (-30)/4.
6
Suppose 0*w = 4*w - 4*b, -5*w = 4*b - 18. Suppose 0 = w*i + 2*i - 28. Calculate the remainder when i is divided by 5/((-40)/(-42)) - (-8)/(-32).
2
Suppose 3*x + 6 = -12. Let y(f) = -f**3 - 4*f**2 + 3*f - 8. Calculate the remainder when y(x) is divided by 12.
10
Let s be (18/4)/((-15)/(-10)). Suppose -i - 435 = -4*i + s*f, 3*i - 5*f - 439 = 0. Calculate the remainder when i is divided by 12.
11
Let h = 31 + -39. What is the remainder when 42 is divided by (-12)/h*10 + 2?
8
Let v be (6/(-1) + 2)/1. Suppose d + 6 = 4*z, 0 = -5*d + z + 1 - 12. Calculate the remainder when ((-130)/(-20))/(d/v) is divided by 5.
3
Suppose -29*r + 30*r - 7 = n, 3*r + 4*n - 28 = 0. What is the remainder when 485 is divided by r?
5
Calculate the remainder when 437 is divided by -2 + 16 + 9 - 10.
8
Let g(w) = 4*w - 44. Suppose 0 = z - 0*z - 12. What is the remainder when g(22) is divided by z?
8
Let z be (-4*1)/((-18)/9). Calculate the remainder when 51 is divided by (-2)/(0 + z) - -19.
15
What is the remainder when 138/9*(-12)/(-8) is divided by (-134)/(-10) - 4/10?
10
Let t(j) = -j**2 + 12*j - 8. Let m be t(11). Suppose -m*q = a + 3*a - 83, 5*q = 2*a - 9. What is the remainder when a is divided by 6?
5
Suppose 5*w - 2*j - 12 = 0, -3*w + 4*j = -w - 8. Let m(f) = 14*f + 2. Calculate the remainder when m(w) is divided by (-391)/(-34) - (-3)/(-6).
8
Calculate the remainder when ((-2)/6)/((-76)/22800) is divided by 66.
34
Calculate the remainder when 241 is divided by (26 - 0)/1 + (-4)/1.
21
Suppose -j = 4, -q + 6*q + j - 81 = 0. Suppose -111*t = -116*t + 30. What is the remainder when q is divided by t?
5
Suppose 2*m - 11 = -u, 0 = m - u + 4*u + 2. Let q(h) = -h**3 + 6*h**2 + h - 4. Let l be q(m). Let g = -18 - l. What is the remainder when g is divided by 10?
8
Let a(p) = -p**3 + 6*p**2 + p - 1. Suppose 2*f - 10 = -d - 0*d, 2*f + 4*d = 4. What is the remainder when a(f) is divided by 2*(-3)/(-9)*6?
1
Let f(q) = q + 13. Suppose 0 = z - 5*z + 164. Calculate the remainder when z is divided by f(8).
20
Suppose -5*r - 133 = -2*i, 50 = -5*i - 2*r + 368. Suppose -2*f + i = 12. What is the remainder when 155 is divided by f?
25
Let u be (-64)/(-10) - (-8)/(-20). Let z be (3/u)/(4/24). Suppose z = s - 9. What is the remainder when 34 is divided by s?
10
Let n(i) = -i**2 - i + 86. Let w = 145 - 145. What is the remainder when n(0) is divided by 1 + w - -2 - -41?
42
Let r(j) = 2*j**3 - 12*j**2 - 7*j - 29. What is the remainder when 76 is divided by r(7)?
16
Suppose 0 = 5*i + 4*p - 970, -5*i + 10*p = 13*p - 975. Let t(l) = l**3 - 2*l**2 - 6*l + 5. What is the remainder when i is divided by t(5)?
48
Suppose 0 = 9*y - 59 + 5. Let l be (-34)/(-10) + (-4)/10. Suppose -l*a - 16 = -5*f, 4*f + y*a - 32 = 2*a. What is the remainder when f is divided by 2?
1
Suppose -4*j - 3*a = 37, 12 = -4*j + a - 13. Let m = j + 9. Suppose -2*f + 112 = m*f. Calculate the remainder when 111 is divided by f.
27
Let p(q) = -q. Let o = 724 - 711. What is the remainder when o is divided by p(-5)?
3
Let z(i) = i**2 + 5*i - 1. Let n be z(-5). Let u be -6*6/(-4)*n. Let f(h) = h**2 - 22. Calculate the remainder when f(u) is divided by 12.
11
Let c = -29 - -34. Let k(q) = -q**3 - 6*q**2 - 3*q - 15. Let t be k(-6). Suppose t*l - 22 - 47 = 0. Calculate the remainder when l is divided by c.
3
Let v = 321 - 191. Let w(c) = 35*c**2 + 3*c + 1. Calculate the remainder when v is divided by w(-1).
31
Suppose -5*h - 5 = -5*f, -f = 4*h + 1 - 2. Suppose h = -22*c + 18*c + 88. What is the remainder when 84 is divided by c?
18
Let x be -1 + (9/3)/3. Suppose x = 2*f - 10, 0*n - n + 3*f = 4. Suppose 38 = -2*o + 4*o. Calculate the remainder when o is divided by n.
8
Suppose -4*x + 293 = k, 191 = 5*x + 3*k - 170. Calculate the remainder when 1255 is divided by x.
71
Let j(q) = -6*q + 19. Let a be j(16). Calculate the remainder when 83 is divided by a/(-28) - 3 - 57/(-4).
13
Let a = 1080 + -475. Calculate the remainder when a is divided by 12.
5
Suppose 55 = 2*o - 35. Calculate the remainder when 23 is divided by (-890)/(-75) - (-6)/o.
11
Let o(p) = 2*p**2 + 2*p - 46. Calculate the remainder when o(6) is divided by 20.
18
Let x = 44 + -1. Let k = x + -8. What is the remainder when 69 is divided by k?
34
Suppose 0 = 3*s - 3*q + 7*q - 119, 0 = -s - 5*q + 47. Suppose -j - s = -2*y, 2*j = -3*y + 5*j + 57. Calculate the remainder when y is divided by 7.
4
Suppose -s - 4*s - 205 = -2*h, 460 = 5*h - 2*s. What is the remainder when h/2 - 12/6 is divided by 11?
10
Suppose 5*g - 3*h - 101 - 13 = 0, -4*g + 88 = -4*h. What is the remainder when 453 is divided by g?
21
Suppose 0 = 6*r - 39 + 3. Suppose 4*j - 6 = -3*a, -j + 16 = 5*a + r. Calculate the remainder when 2 is divided by a.
0
Let j(s) = -10*s**3 + 3*s**2 + 22*s + 43. What is the remainder when j(-2) is divided by 32?
27
Suppose -4*r - m + 7 = -13, -3*r - 3*m + 6 = 0. Let q(x) = 3 - r*x - 8 + 0 + 3. Calculate the remainder when q(-3) is divided by 9.
7
Suppose 6*y - 2*y - 58 = 2*h, -4*h = y + 8. What is the remainder when 16 is divided by y?
4
Let n be 0/((-9)/(-6)*-2). Let u be n/((-3)/(-3)) - 3. What 