Let u be t(-7). Suppose -12 + u = 4*m. What is the remainder when h(6) is divided by m?
4
Let u(t) = 7*t + 2. Suppose 4*l - 5*l + 2 = r, -9 = -2*l + 3*r. Calculate the remainder when u(l) is divided by 12.
11
Suppose -3*a + 4*y + 40 = 0, -5*a = -y - 55 - 40. Suppose -2*f = -0*f. Suppose 2*j - 20 = -2*k, f*k - 2*k = 2. What is the remainder when a is divided by j?
9
Let n(s) = -s - 6 + 5 + 10*s - s**2 - 11. What is the remainder when 15 is divided by n(5)?
7
Let y(r) = -r - 7. Let h be y(-7). Suppose -3*w + 7 + 8 = h. What is the remainder when w is divided by ((-2)/(-1))/(-2)*-3?
2
Let h = 359 + -220. Let u = -99 + h. What is the remainder when u is divided by (14/(-3))/((-2)/9)?
19
Suppose -r = 2*r - 36. Let b = 69 + -46. Calculate the remainder when b is divided by r.
11
Let o = -29 + 37. Let m be (-23)/(-7) - 6/21. Suppose 42 = -x + m*x. Calculate the remainder when x is divided by o.
5
Let v(l) = 3*l**3 + l**2 - 2*l + 1. Let u(m) = -2*m - 4. Calculate the remainder when u(-5) is divided by v(1).
0
Suppose z + 3*h = -10, -10 = -5*z + 3*h + 12. Suppose -6*b + z*b = p - 8, 5*p - 85 = -5*b. Let o = -32 + 90. What is the remainder when o is divided by p?
18
Let x be (-2)/(((-3)/(-63))/1). Let l = 59 + x. Calculate the remainder when l is divided by 5.
2
Let f(p) = p**2 + p - 7. What is the remainder when f(-10) is divided by 17?
15
Suppose -5*i + 5*t + 75 = 0, 9*i - 4*i - 3*t = 79. What is the remainder when 66 is divided by i?
15
Let n(y) = y + 4. Let j be n(0). Suppose -10 = -j*m + 2. What is the remainder when (m + 74/8)*4 is divided by 17?
15
Suppose 4*y = 4*f - 60, 20 = 4*f - 0*f. Suppose -3*i + 7 + 50 = 0. Let r = y + i. Calculate the remainder when 26 is divided by r.
8
Let a be 18/4 + 3/(-6). Suppose 2*v - 24 = 4*u, 4 = -a*u - 0. Calculate the remainder when v is divided by 6.
4
Suppose -5*z - v + 221 = 0, 9*z - 4*z - 245 = 5*v. Suppose -z = -2*g - 15. What is the remainder when 41 is divided by g?
11
Let r(u) = -7*u**3 - 2*u - 1. Let p be r(-1). Let g = p + 3. Let f(t) = 6*t - 10. What is the remainder when f(7) is divided by g?
10
Suppose 10 = -2*u, -4*r - 2*u + 79 = 3*u. Calculate the remainder when r is divided by 2/6 - 52/(-6).
8
Let l = 66 - 48. Calculate the remainder when l is divided by 7.
4
Let w(f) = f + 10. Let t be w(-5). Suppose 6*r - t*d - 75 = 3*r, 109 = 5*r - 3*d. What is the remainder when r is divided by 12?
8
Let k(t) = -25*t. Let x(i) = 13*i. Let c(v) = 4*k(v) + 7*x(v). What is the remainder when c(-6) is divided by 11?
10
Let f = 109 + -62. What is the remainder when 139 is divided by f?
45
Suppose -4*z = 0, 4*t + 68 = 8*t + 2*z. What is the remainder when 1 - -26 - 4/(-1) is divided by t?
14
Let v(z) = -5 + 2*z + 2*z + 4 - 4. Calculate the remainder when v(12) is divided by 15.
13
Suppose 5 = -0*y + y. Let x be 3 - 2 - (0 + -1). Suppose x*o - 5 = j, 3*j + 1 + 2 = 2*o. Calculate the remainder when y is divided by o.
2
Suppose -5*s + 50 = 5*v - 0*v, -3*s + v = -38. Let j = 28 - 6. Calculate the remainder when j is divided by s.
10
Suppose 0 = -c + 4*c - 123. Suppose 124 = 5*f - c. What is the remainder when 63 is divided by f?
30
Suppose -3*t = -31 - 77. Let s = -21 + t. What is the remainder when 28 is divided by s?
13
Let y(o) = 2*o + 7. Let s be y(-6). Let r(v) = -v + 5. Calculate the remainder when r(0) is divided by (-3)/(-5) - 12/s.
2
Suppose -5*a + 3*a = -38. What is the remainder when 74 is divided by a?
17
Suppose -i - 11 = 5*f, i + 0 = -2*f - 2. Calculate the remainder when 58 is divided by 30*1*(-2)/f.
18
Suppose -730 = -5*m - 215. What is the remainder when m is divided by 55?
48
Let l = 31 - 0. What is the remainder when l is divided by 7?
3
Let j = 8 + 6. Suppose -j = -x - 0*x. What is the remainder when 53 is divided by x?
11
Let b = 52 + -20. What is the remainder when 125 is divided by b?
29
Suppose -4*k + 0*k = -12. Suppose -2*m = -5*r + 15, -2*m + 7*r = k*r + 12. Suppose m = -5*f + 2*f + 87. What is the remainder when f is divided by 15?
14
Let z = -42 - -49. Calculate the remainder when z is divided by 2.
1
Let r(v) = 6*v - 1. Let n = 31 - -1. Calculate the remainder when n is divided by r(3).
15
Let s = 1 - -36. Calculate the remainder when 108 is divided by s.
34
Suppose -3*i + 8*i - 307 = 2*k, -k - 248 = -4*i. Suppose 0 = 2*j + 4*y + 1 - i, 26 = j + y. What is the remainder when 60 is divided by j?
18
Let h = 3 + -1. Let w be ((-10)/(-2))/1 + -1. Let r(o) = o**2 - 4*o + 5. Calculate the remainder when r(w) is divided by h.
1
Let i = -31 - -21. Let g be 135/i*4/3. Let w = g + 27. Calculate the remainder when w is divided by 5.
4
Let k = -20 - -39. Calculate the remainder when 73 is divided by k.
16
Let p = 37 - -9. Let w = p - 30. Calculate the remainder when w is divided by 6.
4
Let x = 53 - 21. Let l = 45 - x. Suppose 56 = 3*g - l. What is the remainder when g is divided by 8?
7
Let s = 16 - 12. Suppose -36 = -2*a + s*b, -4*b + b + 38 = 5*a. Calculate the remainder when 36 is divided by a.
6
Let u be ((-4)/8)/((-1)/40). Suppose p = -p + u. What is the remainder when 17 is divided by p?
7
Suppose 52 = 4*i - 36. Calculate the remainder when i is divided by 15*8*(-2)/(-20).
10
Let v(x) be the first derivative of x**3/3 + 2*x**2 - 3. Let u be v(-4). Suppose -3*d + 66 = -u*d. Calculate the remainder when d is divided by 8.
6
Suppose 4*h - 3*h - 31 = 0. Calculate the remainder when h is divided by 11.
9
Let o = 47 - 16. Calculate the remainder when 89 is divided by o.
27
Let u(f) = f**2 - 3*f - 1. Let a be u(7). Let c be 6/(-2) - (6 - a). What is the remainder when 38 is divided by ((-12)/c)/((-2)/60)?
18
Let x(y) = y**3 + 6*y**2 + 3*y - 4. Let b = 164 - 158. Calculate the remainder when x(-4) is divided by b.
4
Calculate the remainder when 76*(2/8 - 0) is divided by 19.
0
Let y(a) = -a**3 - 8*a**2 - 14*a - 2. Suppose q + 2 + 4 = 0. What is the remainder when 27 is divided by y(q)?
7
Suppose -25 + 2 = 3*n - h, -n - 11 = -2*h. Let t = 18 + n. Calculate the remainder when 43 is divided by t.
10
Let o(u) = u**3 - 2*u**2 + 2*u - 1. Let p be o(2). Let d(b) = b**2 - b + 1. Let g be d(p). What is the remainder when -2 + g + -2 - -2 is divided by 2?
1
Let m = 126 + -70. Suppose 5*b = 2*c - 20 - 29, -4*c - 4*b + m = 0. What is the remainder when c is divided by 9?
8
Suppose -5*f + 4*b + 48 = 0, 3*f = -4*b + 9 + 7. What is the remainder when f is divided by 2?
0
Let v(z) = 4*z + 3. Let m be v(3). Suppose -2*y - m = -3*y. What is the remainder when 58 is divided by y?
13
Suppose 7*x = 3*x + 88. Calculate the remainder when 109 is divided by x.
21
Suppose -3*g + g = -10. Let i be 1/(-2) - (-1)/2. Suppose 0*u = -u + g*w + 39, i = -u + w + 19. Calculate the remainder when u is divided by 5.
4
Suppose -4*d - x = -70 - 138, 0 = -3*d + 5*x + 133. Calculate the remainder when d is divided by 27.
24
Suppose 8 + 10 = p. What is the remainder when 60 is divided by p?
6
Suppose 3*i - 74 = -5*k, -k + 0*k = -3*i - 4. Suppose 7*f = 174 + 169. What is the remainder when f is divided by k?
10
Suppose 4*o = -3*v - 11, 3*o - 1 = -v - 8. Let j = v + 4. What is the remainder when j is divided by 2?
1
Suppose -2*q - 2 = -10. Suppose 0 = q*y + y - 105. What is the remainder when y is divided by 12?
9
Let l = -1 + 2. Suppose -l = 2*h - 11. What is the remainder when 17 is divided by h?
2
Suppose k - 5 = -4*b, -2*k = -3*b - 7*k - 9. Let j(d) = -d - 3. What is the remainder when b is divided by j(-5)?
0
Calculate the remainder when 4 + -3 + 3 + 39 is divided by 15.
13
Let j(t) = -2*t - 6. Let l be j(-4). What is the remainder when (l - -1) + (-28)/(-2) is divided by 10?
7
Let f = 14 + -1. Calculate the remainder when 48 is divided by f.
9
Let q(c) = 3*c**2 - 3*c - 2. Calculate the remainder when (2 + -1 + 0)*47 is divided by q(3).
15
Let s(k) = k**3 - 4*k**2 - 8*k + 9. What is the remainder when 65 is divided by s(6)?
32
Suppose 4*r = -12, a = 2*a + r + 1. Suppose -a*z + 3*n + 94 = 0, -3*z = 2*z + 4*n - 281. What is the remainder when z is divided by 18?
17
Let g(f) = -f**2 - f + 65. What is the remainder when g(7) is divided by 5?
4
Suppose -2*i - 1386 = -0*i. Let a = i + 1081. Calculate the remainder when 1/(-3) - a/(-12) is divided by 17.
15
Let z = -3 - -7. Suppose 4*b - 14 = -2*q, 5*b - 19 = q - z*q. Suppose 5*t + 3*v - 6 =