d by c.
13
Let p = 1 - -7. What is the remainder when 8 is divided by 8/(-32) + 42/p?
3
Let t = -19 - -50. Suppose -21 = -a + 19. Let h = -29 + a. Calculate the remainder when t is divided by h.
9
Let j = 13 + 7. Suppose -j = 3*h - 7*h. Calculate the remainder when 12 is divided by h.
2
Suppose 4*v - 3*h = -50, v + 3*h + 1 + 4 = 0. Let f(r) = r**3 + 12*r**2 + 8*r - 9. What is the remainder when f(v) is divided by 7?
3
Suppose 0 = -5*q - 2*s - 10, q = -q - 3*s - 15. Let k(h) = h**3 + h + 2. Let b be k(q). Suppose 21 = -c + b*c. What is the remainder when c is divided by 11?
10
Let a = 3 + 2. Suppose 2*b - 39 = -b. Calculate the remainder when b is divided by a.
3
Suppose -w - 16 = -64. Calculate the remainder when 381 is divided by w.
45
Suppose 2*y + 138 = 6*t - 2*t, -5*y = -3*t + 107. What is the remainder when t is divided by 24?
10
Suppose -8*f + 10*f - 20 = 0. What is the remainder when f is divided by 6?
4
Let b(o) be the first derivative of o**4/4 - 4*o**3/3 + o**2 + 3*o - 2. Calculate the remainder when b(4) is divided by 0 + -6*(-2)/3.
3
Suppose -3*s - 222 = 3*u, -45 - 14 = u - 2*s. Let n = -37 - u. What is the remainder when n is divided by 11?
10
Suppose -c - 14 = -3*c. Let x = 35 - 9. What is the remainder when x is divided by c?
5
Let x be -134*((-4)/4 - -2). Let t = -75 - x. Calculate the remainder when t is divided by 15.
14
Suppose 0 = -3*q + 13 - 4. Let u(y) be the first derivative of 2*y**3/3 + 3*y**2/2 + 3*y - 11. Calculate the remainder when u(q) is divided by 8.
6
Suppose 5*f + 37 = -53. Let a = f - -58. What is the remainder when a is divided by 14?
12
Suppose -3*g - 12 = 3*x, 2*x - 2*g + 29 = 9. Let s(a) = -a**3 - 8*a**2 - 8*a. Calculate the remainder when 20 is divided by s(x).
6
Let f(v) = 9*v + 1. Let z = -10 - -17. What is the remainder when f(2) is divided by z?
5
Let b(t) = -t**2 + t - 6. Let m be b(0). Let x be m/(-10) - (-39)/(-15). Calculate the remainder when 26 is divided by (-28)/8*(x + -2).
12
Suppose 2*i - 67 = -0*x + 3*x, 4*x = 5*i - 178. What is the remainder when 189 is divided by i?
37
Let t(m) = -m**2 - 10*m + 9. What is the remainder when 118 is divided by t(-7)?
28
Let s(i) = -i + 10. Let w be s(8). Let m(f) = -10 - 5 + 14*f + f**3 + 4 - 9*f**w - 4*f. Calculate the remainder when m(8) is divided by 2.
1
Suppose 185 = -11*f + 16*f. Calculate the remainder when 139 is divided by f.
28
Let g(u) = u**2 + 3*u - 8. Let p(q) = -2*q**2 - 7*q + 15. Let y(r) = 11*g(r) + 6*p(r). Calculate the remainder when 37 is divided by y(-8).
7
Let b = 14 + -14. Suppose -6 + 293 = 5*s + 3*n, b = -4*n + 16. Calculate the remainder when s is divided by 19.
17
Suppose 0 = 11*v - 6*v - 255. What is the remainder when v is divided by 26?
25
Suppose -5*y - 6*v = -2*v - 5, 5*v = -2*y + 19. Suppose x + 0*x - 14 = 0. What is the remainder when -42*(y - -2) + -2 is divided by x?
12
Let q(c) = -9*c - 5. Let b be (-33)/(-2)*-2*-1. Suppose -4*g + b + 35 = -4*n, 0 = n + 1. What is the remainder when q(-4) is divided by g?
15
Suppose -u + 2 = -2*u. Let m be (u - (-92)/(-14))*-7. Suppose -m = -4*d + d. What is the remainder when 59 is divided by d?
19
Let h(j) be the second derivative of j**4/12 - 4*j**3/3 - 3*j**2 + 4*j. Let g be h(10). Suppose 5*r - g = 51. What is the remainder when r is divided by 5?
3
Let d = -11 + 13. Calculate the remainder when 30 is divided by -4 + 46/d + -3.
14
Suppose -4*v + 1 = p + 16, 0 = -v - 5. Suppose 0 = y + 4*y + o - 57, p*y + 5*o - 45 = 0. Suppose 6*r = r + 165. What is the remainder when r is divided by y?
9
Let s(r) = -r**3 - 7*r**2 - 5*r + 2. Let v be s(-6). Let f(g) = -g**3 - 5*g**2 - 4*g + 5. Let x = -56 - -64. What is the remainder when x is divided by f(v)?
3
Let w be 176/33*-1*3. Let c = w + 24. Calculate the remainder when 30 is divided by c.
6
Suppose 6*u = 10*u + 40. Let p = 12 + 3. Calculate the remainder when p is divided by (37 + u)*1/3.
6
Let u be (30/(-20))/(6/8). What is the remainder when (-528)/(-18) + u/6 is divided by 15?
14
Suppose -2*b + 0*b + 48 = 0. Calculate the remainder when 93 is divided by b.
21
Suppose -6*b - 14 = -3*o - 2*b, -o - 5*b + 11 = 0. Suppose -2*h + o*h = 12. Suppose -h*c + 13 = -2*c. Calculate the remainder when 25 is divided by c.
12
Let g = 12 + -4. Calculate the remainder when 26 is divided by g.
2
Let s = -12 + 17. Suppose 0 = k + 4, -3*a + 4*k = 3*k + 59. Let n = 34 + a. Calculate the remainder when n is divided by s.
3
Suppose 3*h = -5*w + 107, -3*h + 119 = w + 4. Suppose 3*s + s - h = -j, -s + j + 16 = 0. Calculate the remainder when 20 is divided by s.
9
Let s(a) = 8*a**2 + a - 1. Let h be s(1). Let w = 18 - h. What is the remainder when 29 is divided by w?
9
Suppose 0 = 2*s + 3*i - 10, 0 = 5*s - 2*i - 54 + 10. Calculate the remainder when 14 is divided by s.
6
Let d = 14 - 5. Calculate the remainder when d is divided by 3.
0
Suppose 2*z = b + z - 22, 2*b + 5*z - 30 = 0. What is the remainder when 34 is divided by b?
14
Let o(a) = -1. Let m(n) = n - 4. Let h(i) = -m(i) + 4*o(i). Calculate the remainder when h(-1) is divided by -4*(3 + (-26)/8).
0
Suppose -21 = -j - 1. Suppose q - 4 = 34. What is the remainder when q is divided by j?
18
Let f(a) = -a**3 + 4*a**2 + 2*a + 1. Suppose -71 - 111 = -7*c. What is the remainder when c is divided by f(4)?
8
Let b be 636/(-9) - (-2)/3. Let d = 100 + b. What is the remainder when d is divided by 16?
14
Let l = -78 - -86. Calculate the remainder when 14 is divided by l.
6
Let h = 0 - 0. Suppose h = -0*r + 4*r + 20. Let q(g) = -5*g + 7. Calculate the remainder when q(r) is divided by 11.
10
Suppose 3*a = 0, 2*g = -a + 4*a + 42. Let o = 48 + -15. Suppose -2*y = 11 - o. What is the remainder when g is divided by y?
10
Let h(r) = 2*r - 11. Calculate the remainder when h(8) is divided by 4.
1
Suppose p - 62 = -o, 6*o + 162 = 3*p + o. What is the remainder when p is divided by 3 - -15 - 4 - 2?
11
Suppose -3*p + 2*p = -6. Suppose 0 = 4*x + 5*a - 53, 5*x + 4*a + 12 - 76 = 0. Suppose f - x = -2*f. What is the remainder when p is divided by f?
2
Suppose -10 = -4*f - 5*x + 3*x, -f = 5*x + 2. Let k(c) = -5*c**2 + 1 + 0*c - c - 2*c**3 + c**3 - 4. What is the remainder when f is divided by k(-5)?
1
Let c be (-40)/15*3/2. Let w(u) = -2*u**2 + 2. Let d be w(-2). What is the remainder when 14 is divided by -3*c/d - -10?
6
Let g = -50 + 70. What is the remainder when 58 is divided by g?
18
Suppose 0*c + c = -5*f + 23, -c + 19 = 4*f. Suppose 3*d + c*n - 6 = 0, 3*d - n - 16 = -2. What is the remainder when 38 is divided by 13/(-3 - -1*d)?
12
Calculate the remainder when 31 is divided by (48/(-9))/((-3)/9 - 0).
15
Let x be -11 + -2 + 0/7. Let w = 1 - x. Suppose -o + 3*i = o - 75, 4*i - 121 = -3*o. Calculate the remainder when o is divided by w.
11
Let t = -64 + 75. What is the remainder when 72 is divided by t?
6
Let a(n) = 3*n - 11. Let x be a(6). Suppose x + 39 = 2*m. Calculate the remainder when 45 is divided by m.
22
Let q = -130 + 188. Let h = q + -35. Calculate the remainder when 44 is divided by h.
21
Suppose -28 + 1 = -3*g. Suppose a = 5*a - 68. What is the remainder when a is divided by g?
8
Let l = -14 - -32. What is the remainder when 71 is divided by l?
17
Suppose -4*j + 102 = v, -3*j = 5*v - 0*v - 85. Calculate the remainder when 34 is divided by j.
9
Suppose 4*v + 0*w = 3*w + 52, 0 = -4*v + w + 44. Suppose -5*o + 0 = -v. Let s = -4 - -7. Calculate the remainder when s is divided by o.
1
Suppose -2*c = c. Suppose c*h - 2*h - 2*f + 18 = 0, -40 = -4*h - 5*f. Suppose h*a + 10 = 0, -2*v + 44 = -2*a - a. What is the remainder when v is divided by 7?
5
Suppose 4*s - 92 = -16. Suppose 1 - 3 = -r. Suppose -4*d + r*a + 84 = -66, -d + 38 = -a. What is the remainder when d is divided by s?
18
Suppose 25 = 5*k - 0*k. Suppose -z = -2*z + 4*i + 29, -i = 4*z - 31. What is the remainder when z is divided by k?
4
Let g = -9 + 14. What is the remainder when 19 is divided by g?
4
Calculate the remainder when 25 is divided by (1 + 0)/((-8)/784*-7).
11
Calculate the remainder when 35 is divided by 6/(-28)*-60 - (-4)/28.
9
Let i be ((-204)/9)/(1/(-3)). Suppose v + 2*g - i = -v, 0 = 2*v - 4*g - 38. What is the remainder when v is divided by 3*(-26)/(-8) + (-4)/(-16)?
9
Let c be 2/2*(1 - 1). Suppose -4*g + 5*w + 118 = 0, 2 = 4*w - 6. Calculate 