. Suppose 3*q = q + b. Calculate the remainder when 9 is divided by q.
1
Let p be (-10)/(-4)*(-4)/(-5). Let k = -38 + 57. What is the remainder when k is divided by ((-7)/p*-4)/2?
5
Calculate the remainder when 3*(-380)/8*(-18)/15 is divided by 43.
42
Let n(u) = u**2 - 2*u + 2. Let q be n(2). Suppose m = -q*s + 3*s - 9, -2*m = 5*s - 66. What is the remainder when 22 is divided by s?
10
What is the remainder when 65 is divided by (72/(-14))/(4/(-14))?
11
Suppose t + 8 = c, -3*c = -5*t - 23 + 7. Calculate the remainder when 34 is divided by c.
10
Let z(m) = m**2 + 1. Let q(n) = 2*n**3 + 3*n**2 + 3*n + 9. Let a(u) = -q(u) + 3*z(u). Calculate the remainder when a(-4) is divided by 34.
32
Suppose 43 = c + 7. Suppose 5*w = 54 + c. Calculate the remainder when w is divided by 5.
3
Let w(m) = -m**3 + 4*m**2 - m + 2. Let f be w(3). Suppose 36 = 5*o - h, -2*o = -5*o + 4*h + f. Calculate the remainder when 30 is divided by o.
6
Let z(k) = -k + 9. Let q be z(-7). Suppose 4*a = -0*a + q. Let b = 25 - 19. Calculate the remainder when b is divided by a.
2
Suppose 2*m + 2*m - 84 = 0. Suppose 109 = -2*c - w - 25, 0 = 2*c + 4*w + 128. Let x = 129 + c. What is the remainder when x is divided by m?
19
Let k(f) = -f**3 + 8*f**2 + 6*f - 9. Calculate the remainder when k(8) is divided by 9/2*(-28)/(-6).
18
Suppose -4*g - 68 = 2*h, g + 206 = 4*h - 9*h. Let p = h + 76. Suppose -5*x + m + 65 = 2*m, -2*m = -2*x + 14. Calculate the remainder when p is divided by x.
10
Suppose 6*q = q + 2*l + 237, 0 = -4*q + 4*l + 180. What is the remainder when q is divided by 10?
9
Calculate the remainder when 39 is divided by 2/5 + 114/15.
7
Suppose 16 = -2*g - 0*g. Let c = 33 + g. Let i = -6 - -15. What is the remainder when c is divided by i?
7
Suppose 0 = -5*x + 2*x + 45. Suppose 4*g - 15 - 5 = 0. Let f = g + 3. Calculate the remainder when x is divided by f.
7
Suppose 0 = -2*n + t + 42 - 0, -8 = -2*t. What is the remainder when 90 is divided by n?
21
Let a = 35 - 55. What is the remainder when 20 is divided by 10/a - 30/(-4)?
6
Suppose 6*m - 6 = 198. Let c = 31 + -19. What is the remainder when m is divided by c?
10
Suppose 0 = -7*p - 0*p + 84. What is the remainder when p is divided by 2?
0
Let z = -9 + 13. Calculate the remainder when 4 is divided by z.
0
Let k(l) = l**3 - 6*l**2 + 3*l - 6. What is the remainder when k(6) is divided by 7?
5
Suppose -14 - 14 = 4*b. Let k be 68/7 - 2/b. Suppose k + 17 = 2*w - j, -4*w + 3*j = -57. What is the remainder when 34 is divided by w?
10
Suppose 90 = r + 2*r + 4*j, 0 = 2*j. Calculate the remainder when 118 is divided by r.
28
Let w(b) = 4*b + 86. What is the remainder when 23 is divided by w(-20)?
5
Let n(y) = -8*y**3 + 2*y**2 - 3*y + 2. Let b be n(2). Let w = 237 + -115. Let z = b + w. What is the remainder when z is divided by 21?
20
Suppose -n + 2*n + 12 = -4*l, -35 = 4*n + 3*l. Let d(x) = 2*x + 11. Let f be d(n). Let p = 24 + f. What is the remainder when p is divided by 7?
5
Suppose 4*n + 5 + 3 = 0. Let p be (-36)/(-21) - n/7. Let a = p - 1. Calculate the remainder when 1 is divided by a.
0
Let r = 96 + -65. Let f = -89 - -145. Suppose -3*d - f = -2*g - 2*g, -4*g + 48 = -5*d. Calculate the remainder when r is divided by g.
14
Suppose 11*x = 16*x. Let h(p) = p**2 - 2*p - 5. Let d be h(4). Calculate the remainder when x + -1 - d*-11 is divided by 11.
10
Let h be (-6)/6*(1 - 0). Suppose 2*s + s - 2*j = 143, -52 = -s + 5*j. What is the remainder when s is divided by 1 - h - (-13 - 1)?
15
Let a = -27 - -33. What is the remainder when 9 is divided by a?
3
Suppose -2 = 2*o - 6. Let g(s) = 2*s**3 - 1. Calculate the remainder when 27 is divided by g(o).
12
Let t(y) = -y**3 - 4*y**2 - 4*y - 1. Let h be t(-4). Suppose 55 = 4*c - 0*c + 3*o, 5*o = 4*c - h. What is the remainder when c is divided by 6?
4
Let o = -5 + 7. Suppose 2*g = -u + 85, o*u = 4*g + u - 179. Let j = g + -30. Calculate the remainder when j is divided by 8.
6
Let w = -25 - -63. What is the remainder when 113 is divided by w?
37
Let m = 6 + -1. What is the remainder when 7 is divided by m?
2
Let f(l) = 15*l**2 + l - 1. Let d(m) = -28*m + 1. Let z = 0 - 2. What is the remainder when d(z) is divided by f(1)?
12
Suppose -27 = -o - 3*a, -78 = -5*o - 0*o + 4*a. Let b = -281 - -406. Let n = b - 72. Calculate the remainder when n is divided by o.
17
Let j = 45 + -15. What is the remainder when j is divided by 8?
6
Suppose 20 = -u + 5*u. Suppose 0 = 2*l - f - 2*f - 43, -u*l = 5*f - 170. What is the remainder when l is divided by 8?
5
Let q = -1 - -4. Let o = 9 - q. Calculate the remainder when 9 is divided by o.
3
Let q = 742 - 512. Calculate the remainder when q is divided by 58.
56
Suppose -3 = -s + w, w - 2*w = 2*s + 3. Suppose s = -3*l + 7*l - 72. Calculate the remainder when 52 is divided by l.
16
Suppose 4*a + 2*l = 24, -15 - 13 = -3*a + l. Let f = -11 - a. What is the remainder when 2 - (-1)/((-1)/f) is divided by 11?
10
What is the remainder when 3 is divided by 1 + (-4 + 4 - -1)?
1
Let v be 0/(3 - 4/2). Suppose v = 2*l + l, -3*l + 4 = 2*y. Suppose 3 = q - 3. What is the remainder when q is divided by y?
0
Let s = 34 + -24. What is the remainder when 65 is divided by 86/5 - s/50?
14
Suppose -3*o = 2*c - 1, 2 = o - 3*o. Suppose u - 2*k + 11 = k, -2*k = -10. What is the remainder when u is divided by c?
0
Suppose 0 = -5*s - v + 2140 - 232, -v + 762 = 2*s. Suppose 5*j + 37 = s. Calculate the remainder when j is divided by 24.
21
Suppose -w - 4*w + 5 = 0. Let i(h) be the first derivative of 8*h**2 - h + 1. Calculate the remainder when i(w) is divided by 8.
7
Suppose 6*t = 3*t + 129. What is the remainder when t is divided by 11?
10
Let s = 32 - 27. Calculate the remainder when 16 is divided by s.
1
Let u(c) = 5*c**2 + c - 1. Let t(y) = -16*y**2 - 2*y + 4. Let x(s) = 2*t(s) + 7*u(s). What is the remainder when 12 is divided by x(-2)?
5
Suppose 0 = -4*i + 20 + 64. Calculate the remainder when i is divided by 2.
1
Let m(v) = -v + 2. Let a be m(9). Let r = 6 + a. Calculate the remainder when 11 is divided by (-17 + r)*(-1)/3.
5
Suppose 0 = -2*x - 1 + 3, -57 = -5*j + 3*x. Calculate the remainder when 57 is divided by j.
9
Let t(s) be the third derivative of s**5/3 + s**4/24 - s**3/6 - 3*s**2. What is the remainder when 38 is divided by t(1)?
18
Let x = -215 - -126. Let y = x - -126. Suppose 3*t - 8 = y. Calculate the remainder when t is divided by 8.
7
Let i(l) = 2*l**2 - 2*l + 2. What is the remainder when i(1) is divided by 1?
0
Let o(g) = g**2 - 6*g + 7. Suppose 4*u = 29 + 35. Suppose 0*h = -4*h + u. Calculate the remainder when o(6) is divided by h.
3
Suppose 7*q - 10*q + 12 = 0. Calculate the remainder when 12 is divided by q.
0
Let l(n) = n**3 + 5*n**2 - 2*n - 5. What is the remainder when 132/16 - (-1)/(-4) is divided by l(-5)?
3
Let g = 4 + 1. Suppose 23 = v - g*w, 4*v - 4*w - 95 = 29. What is the remainder when v is divided by 17?
16
Let m = -126 - -72. Let l = -32 - m. What is the remainder when l is divided by 12?
10
Let v = 1 + 8. Calculate the remainder when v is divided by 6.
3
Suppose 4*c + 59 = 3*y, -3*y + 84 = -2*c + 17. Calculate the remainder when y is divided by 7.
4
Let x = -11 + 7. What is the remainder when 14 is divided by 3*(28/(-12) - x)?
4
Let n = -15 + 21. Suppose -13 - 12 = 4*f + 5*q, -q = 4*f + 5. Suppose -w = -f*w - 17. Calculate the remainder when w is divided by n.
5
Let n(c) = 2*c**2 + 2*c + 1. Let s be n(-2). Suppose j = -1, x - 16 - 5 = s*j. Calculate the remainder when x is divided by 9.
7
Let p = -59 - -213. Calculate the remainder when p is divided by 31.
30
Let w = 103 - 50. Calculate the remainder when w is divided by 21.
11
Let j = -6 - -10. Suppose o + 3*o = 5*f - 12, 0 = f - 4*o + j. Let m = 2 + 8. What is the remainder when m is divided by f?
2
Let v = -17 + 28. Suppose g - 3*g - 6 = 0. Calculate the remainder when ((-1)/g)/(1/93) is divided by v.
9
Let s = -27 - -45. What is the remainder when 68 is divided by s?
14
Let f(o) = o**3 - 6*o**2 + 4*o - 9. Calculate the remainder when f(6) is divided by 6.
3
Let p = 9 - 4. Suppose 2*b - 2*t = 20, 2*b + 3*t + 0 = p. Calculate the remainder when 20 is divided by b.
6
Suppose -r + 2*d = 4*r - 29, 0 = -3*d - 6. Suppose t = 2*h, 5*h - h = r*t. Suppose t = -3*b - 0*b + 78. Calculate the remainder whe