b + 24 = -2*b. Let h(v) = 8*v + 1. Suppose 1 = f + 3*a - 7*a, 0 = f - a - 1. What is the remainder when b is divided by h(f)?
6
What is the remainder when 72/39 + 12/78 is divided by 1?
0
Let b = 14 + -11. Suppose -4*h - 4*g = -2*g - 252, 189 = b*h + 3*g. What is the remainder when h is divided by 16?
15
Let k(a) = -a**2 + 8*a - 4. What is the remainder when 45 is divided by k(4)?
9
Let p be (-5 - -7)*70/4. Suppose -2*c + 119 = p. Calculate the remainder when c is divided by 11.
9
Let i(v) = v**2 + 10*v - 9. Let x be i(-11). Suppose -q + x = -11. What is the remainder when 36 is divided by q?
10
Suppose 5*p = -0*p + 170. Let j = p - 80. Let v = j + 77. What is the remainder when v is divided by 11?
9
Suppose 5*b = 2*l + 174, -2*b = -l - 96 + 26. What is the remainder when b is divided by 18?
16
What is the remainder when (-3212)/(-28) - (-6)/21 is divided by 13?
11
Let v(j) = -14*j + 178. Let h(a) = -4*a - 5. Calculate the remainder when h(-6) is divided by v(12).
9
Let a = -15 + 28. What is the remainder when a is divided by 7?
6
Let a(m) = 8*m - 37. Suppose j = -2*j + 48. Suppose j = 3*s - 23. What is the remainder when a(11) is divided by s?
12
Let l(r) = -r**2 - 3*r + 1. Let c be l(-4). Suppose 14 = -5*n + 4*i + 40, 5*n - 5*i - 25 = 0. Calculate the remainder when (-4)/c*99/n is divided by 8.
6
Let z = 72 + -5. What is the remainder when z is divided by 20?
7
Let n be (2/(-4))/(6/(-120)). Calculate the remainder when n/4*(-198)/(-15) is divided by 17.
16
Let w be (-1)/(-3)*3 - 1. Suppose -r - 1 = w, 2*r + 17 = 2*j + r. Calculate the remainder when 3/(-2 - (-18)/j) is divided by 7.
5
Let y = 56 + 4. Let n = -84 + y. Let o = n - -35. Calculate the remainder when o is divided by 4.
3
Let b = 100 - 32. Suppose -4*r + 2*r = -b. What is the remainder when r is divided by 9?
7
Suppose -2*k = -10 + 2. Calculate the remainder when (-5)/(0 + -2 - -1) is divided by k.
1
Suppose 0 = -x - 2*x + 18. Let t = -17 + 7. Calculate the remainder when t/3*6/(-2) is divided by x.
4
Suppose 0 = 2*r - 18 - 22. Let k(o) = -o + 1. Let b(c) = -4*c**3 - c**2 + c - 3. Let g(x) = -b(x) - 2*k(x). Calculate the remainder when g(2) is divided by r.
19
Suppose 0 = -m - 2*a + 16, 5*m + 3*a - 37 = 8. What is the remainder when 39 is divided by m?
3
Suppose -2*c - 75 = -7*c. Suppose 10 = 2*h, h + 103 = 3*s + s. What is the remainder when s is divided by c?
12
Let r(q) = -q**3 - 3*q**2 - 2*q - 30. What is the remainder when r(-7) is divided by 13?
11
Let h(k) = -k**3 - k**2 + 27. Calculate the remainder when h(0) is divided by 15.
12
Suppose 2*x + 11 - 31 = -2*g, -5*g + 15 = 0. Calculate the remainder when 26 is divided by x.
5
Suppose 0 = -2*r + 9 + 33. Calculate the remainder when r is divided by 12.
9
Suppose -4*b - 18 = -6*b. What is the remainder when 34 is divided by b?
7
Let u(j) = j**2. Let k(c) = 3*c**2 - 6*c + 7. Let p(a) = k(a) - 2*u(a). Let n be p(5). Calculate the remainder when n/(-3) + (-116)/(-12) is divided by 5.
4
Let u be (-6)/4 + 1/(-2). What is the remainder when -3 - 1*(u - 54) is divided by 18?
17
Let u(w) = -w**2 - 32*w - 61. Suppose 3*r = -5*a + 39, -a + 52 = 4*r - 4*a. Calculate the remainder when u(-28) is divided by r.
12
Suppose 11*t = 17*t - 432. Let r = -32 - -69. Calculate the remainder when t is divided by r.
35
Suppose 3 = q - 2*n, -2*q + 3*n = -0*n - 11. Let k(g) = 9*g**2 - 2*g - 2. Calculate the remainder when k(-2) is divided by q.
12
Let o = 131 + 7. What is the remainder when o is divided by 47?
44
Let p = -22 + 25. What is the remainder when 15 is divided by p?
0
Let x(b) be the first derivative of 7*b**2/2 - 15*b - 4. Calculate the remainder when 106 is divided by x(6).
25
Suppose 3*x + 5*l = -20, 4*l + 16 = 6*x - x. Let b = 5 + x. What is the remainder when 24 is divided by b?
4
Suppose 2*a + 4 = 5*m, 10 = -m + 4*a - 0. Suppose q = m*q - 5*b - 28, 0 = 5*b + 25. Suppose -q = -2*u + 17. Calculate the remainder when 28 is divided by u.
8
Let o(m) = 78*m**2 - m - 2. What is the remainder when o(-1) is divided by 39?
38
Let x(q) = q**2 - 4*q + 10. Let u be x(6). Let b = -10 + u. What is the remainder when 35 is divided by b?
11
Suppose x - 6*x + 45 = 0. Suppose 0 = -3*c - 11 - 37. What is the remainder when c/(-12)*(-153)/(-6) is divided by x?
7
Let d be (-2 - 2)*162/(-4). Suppose -78 - d = -3*x. Suppose 0*b + 5*b + 5*k - x = 0, -4*b - 3*k + 59 = 0. What is the remainder when 32 is divided by b?
10
Let z = -1 + 3. Let f = -61 + 85. Suppose -3*l + f = z*s - l, 3*s + l - 46 = 0. Calculate the remainder when 49 is divided by s.
15
Suppose -5*o = -20, o = 2*z - 0*o - 2. Let u = z - 0. Calculate the remainder when 0 + 0 + (2 - -2) is divided by u.
1
Suppose 24 = s + 4*q, 2*q = 3*s - 0*q - 2. Suppose 16 = 2*d - s*o, 4*o + 14 = -0*d + d. Calculate the remainder when d is divided by 2.
0
Suppose -2*b + 0*b = -18. Let c = 13 - b. What is the remainder when 7 is divided by c?
3
Let w(l) = 5*l**2 + 7*l - 3. Let s be w(5). Let g = s + -112. Calculate the remainder when g is divided by 12.
9
Let v(i) = -6*i + 17 + 0*i**2 - 6*i + i**2 - 5. Calculate the remainder when v(13) is divided by 12 + (1 - 0)*1.
12
Suppose 0*y - 5*w - 86 = -3*y, 3*y = -3*w + 54. What is the remainder when y is divided by -1 + 5 - (5 - 13)?
10
Let n(g) = 2*g**2 - 2. Suppose 6 = -x - x. Let w be n(x). What is the remainder when -4*(-2)/w*86 is divided by 11?
10
Suppose 19 = 2*x + 5*k + 98, -x = 2*k + 38. What is the remainder when 41 is divided by x/112 + 79/7?
8
Let v(c) = -c**3 + 8*c**2 + 8*c - 5. Let u be v(9). What is the remainder when 70 is divided by ((-168)/(-49))/((-2)/u)?
22
Suppose -2*g + 24 = 3*o + g, -2*o + 37 = -5*g. Let m = o - 6. What is the remainder when m is divided by 3?
2
Suppose b - 2*b = -4*y - 7, 5*b = 5*y + 35. What is the remainder when b is divided by 3?
1
Let g = 115 + -48. Let u(j) = j**3 - 21*j**2 - 22*j + 23. What is the remainder when g is divided by u(22)?
21
Let i = 37 - 18. Calculate the remainder when i is divided by -2*((-3)/2 - 2).
5
Suppose 24 = 3*t - 7*t. Let d = 29 + t. What is the remainder when d is divided by 13?
10
Let q(g) = -g**3 + 7*g**2 - 7*g + 2. Let x be q(6). Let j = 6 - x. Suppose j = z - 0. Calculate the remainder when 38 is divided by z.
8
Let f = -124 + 127. What is the remainder when f is divided by 3?
0
Suppose 0 = -5*r + 4 + 6. Let x be 4/18 - (-1)/((-9)/(-43)). Suppose 3 = 3*t, 0*t + x*t = r*n - 15. What is the remainder when 27 is divided by n?
7
Suppose 5*r + 4*w - 40 = -w, 5*w - 19 = 2*r. Suppose -f - 216 = -5*b + 2*f, -r*b + 141 = 2*f. Calculate the remainder when b is divided by 12.
9
Suppose h - 22 = -0*h. Suppose -5*x + h = 2. Suppose -a = -x*n + 142, 3*n - 38 = 2*n - a. Calculate the remainder when n is divided by 13.
10
What is the remainder when 29 is divided by -3*(-32)/(-12)*-2?
13
Suppose c - 183 = -w, -156 - 413 = -3*w + 2*c. Calculate the remainder when w is divided by 48.
43
Let y = 40 - 37. Let c = -6 - -11. Calculate the remainder when c is divided by y.
2
Let l(g) = 4*g - 6 + 5 + 2. Let f be l(1). Suppose -3*y + 3 = -4*p, f*p = 3*p. What is the remainder when y is divided by 1?
0
Suppose 0 = -3*u + 5*u + 10, 3*q - 5*u = 37. What is the remainder when 16 is divided by q?
0
Let z(j) be the third derivative of -j**5/60 - j**4/4 - 2*j**2. What is the remainder when 23 is divided by z(-4)?
7
Let t(x) = x + 35. What is the remainder when t(-7) is divided by 10?
8
Let s(l) be the first derivative of 1/2*l**2 + l + 1. Calculate the remainder when 13 is divided by s(4).
3
Suppose 0 = -7*r + 14 + 70. What is the remainder when 23 is divided by r?
11
Let t = 7 + 0. Let q = 124 - 71. Suppose z - q = -t. What is the remainder when z is divided by 16?
14
Let z(k) = -k**3 - 5*k**2 - k + 3. What is the remainder when 22 is divided by z(-5)?
6
Let d(r) = r - 1. Let a be d(3). Suppose -12 = -p + 3*s + 16, -5*p = 3*s - 68. Suppose u - a*u = -p. Calculate the remainder when u is divided by 9.
7
Let m be ((-3)/(-6))/((-1)/(-12)). Suppose -l + 25 = 2*t - m*t, -145 = -3*l - 2*t. Calculate the remainder when l is divided by 12.
9
What is the remainder when 62 is divided by (204/(-24))/((-1)/2)?
11
Let d(w) = -13*w - 23. Calculate the remainder when 123 is divided by d(-3).
11
Let s(g) = -g**3 + 3*g**2 + 6*g - 3. Suppose 0 