
6
Let y = 11 - -32. Suppose -2*c = 11 - y. Calculate the remainder when (1/3)/((-1)/(-141)) is divided by c.
15
Let q(b) = 12*b + 1. Suppose 23 = 3*h - 28. Calculate the remainder when q(4) is divided by h.
15
Suppose -5*f + 25 = 0, 2*i + f = 7*i - 20. Let v = -2 + i. Calculate the remainder when 5 is divided by v.
2
Let t(j) = j**2 - 4*j + 3. Let d be t(4). Let b = d + 0. Let y = -9 + 14. What is the remainder when y is divided by b?
2
Let z = 1 - -2. Let c be z/(-18)*-3*-18. Let j = c - -39. Calculate the remainder when j is divided by 8.
6
Let z = 13 + -8. Let b(a) = -1 - 2*a**2 - a**3 + 2*a**2 + 4*a + 5*a**2. What is the remainder when b(z) is divided by 10?
9
Let w = -77 - -106. What is the remainder when 85 is divided by w?
27
Suppose -311 = -4*u + 4*x - 19, 4*u - 297 = -x. Calculate the remainder when u is divided by 19.
17
Let g = -15 - -32. Let h = 10 - -1. Let r = h - 5. What is the remainder when g is divided by r?
5
Let s = -19 + 0. Let t = -11 - s. Suppose -x = 2*x - 9. Calculate the remainder when t is divided by x.
2
Let m = -20 + 29. Suppose 5*c - 73 = 57. What is the remainder when c is divided by m?
8
Suppose 0 = 4*i + 2*y - 66, -i + 0*i + 4*y - 6 = 0. Suppose -m - 2*k + 50 = 0, 3*m + k = -4*k + 145. Calculate the remainder when m is divided by i.
12
Let f(r) = r**3 + 6*r**2 + 1. Let y = 23 - 13. What is the remainder when f(-6) is divided by (y + -9)*(0 + 1)?
0
Let h be (-2)/4 + (-20)/8. Let a = h - -13. Calculate the remainder when 28 is divided by a.
8
Calculate the remainder when (-2009)/(-35) + 2/(-5) + 1 is divided by 20.
18
Let s(u) = -u**3 + 9*u**2 + 11*u + 14. Calculate the remainder when 65 is divided by s(10).
17
Let z be (-258)/(-9) - 1/(-3). Let u = z - 6. Calculate the remainder when 44 is divided by u.
21
Let k(f) = -f**3 - 3*f**2 + 13*f - 8. Calculate the remainder when k(-6) is divided by 8.
6
Let t(a) = 5*a - 20. Suppose -3*f + 148 = 5*c - f, 5*c - 5*f - 120 = 0. What is the remainder when c is divided by t(7)?
13
Suppose 0 = -10*i + 5*i + 110. What is the remainder when (-257)/(-4) - 3/12 is divided by i?
20
Suppose -24*a + 21*a + 345 = 0. Suppose 0 = d + 79 - 3. Let z = a + d. What is the remainder when z is divided by 14?
11
Let n(i) = i**3 + 7*i**2 - i + 2. Let p(v) = -2*v**2 + v + 1. Let k be p(-1). Let f = -5 + k. Calculate the remainder when 17 is divided by n(f).
8
Suppose -x + 112 = 5*s + x, x + 52 = 2*s. Calculate the remainder when 23 is divided by (-3)/((-9)/s) - 0.
7
Let y = 105 - -116. Calculate the remainder when y is divided by 8.
5
Let h(l) = -l**3 + 16. Suppose 0*m - 47 = -m. What is the remainder when m is divided by h(0)?
15
Calculate the remainder when (4/(-6))/(2/(-141)) is divided by (-16)/(-1) - (19 + -15).
11
Let u = -48 - -71. What is the remainder when 89 is divided by u?
20
Suppose 7*t - 12*t = -350. What is the remainder when t is divided by 9?
7
Suppose 4*q = 55 + 61. Let h = 44 - q. Calculate the remainder when (1/2)/((-2)/(-116)) is divided by h.
14
Let l = -11 + 13. Suppose 0 = 7*j - l*j - 140. Calculate the remainder when j is divided by ((-2)/4)/((-1)/30).
13
Suppose -3*p + 113 = -49. Calculate the remainder when p is divided by 8.
6
Let z = -8 - -5. Suppose 54 = 3*o - o. What is the remainder when o is divided by z/((-15)/(-14))*-5?
13
Let l = 84 - 42. What is the remainder when l is divided by 6/51 - (304/(-17) - 4)?
20
Let q(c) = -c. Let i be q(11). Let n(u) = u + 18. Calculate the remainder when 25 is divided by n(i).
4
Let n be (-46)/(-12) + (-1)/(-6). Suppose f - 2*f + n = 0. Suppose 3*r - 10 = -m, f*m - 3*m - 8 = -4*r. Calculate the remainder when 46 is divided by m.
14
Suppose -s - 4*k = -7*k - 13, 3*s - 95 = -5*k. What is the remainder when s is divided by 7?
4
Let v(p) = -p - 2. Let l be v(0). Let x be l/3 + (-294)/(-9). Suppose -4*d - x = -j, -d + 10 = j - 2. Calculate the remainder when j is divided by 9.
7
Let b = -17 - -31. Suppose 4*g = -4*p - 856, -5*g - 557 = -4*p + 477. Calculate the remainder when g/(-8) - (-18)/24 is divided by b.
13
Let w = -5 - -18. Let b be 11*-1*(-2 - 0). Suppose b = q - 3*p, 2*q + 3*p = 5*q - 36. Calculate the remainder when w is divided by q.
6
Let v = -33 + 34. What is the remainder when v is divided by 1?
0
Let g(d) = 2*d**2 + d. Let k(o) = o + 5. What is the remainder when k(13) is divided by g(2)?
8
Calculate the remainder when (-2264)/(-24) + 1/(-3) is divided by 24.
22
Suppose 2*c + 54 = 3*n, -3*n - n = -5*c - 79. Suppose -44 + 164 = 4*m. What is the remainder when m is divided by n?
14
What is the remainder when (-3)/(6 + -3) - -4 is divided by (28/(-35))/(4/(-10))?
1
Suppose -4*g - 3 = 2*l + 1, -5*g = -5*l - 40. Let j be l/27 + (-320)/18. Let n = j + 34. What is the remainder when n is divided by 6?
4
Let h(u) = -u**3 + 12*u**2 + 3*u + 17. What is the remainder when h(12) is divided by 28?
25
Suppose -3*a + 12 = 0, -v + 0*a = -4*a + 16. Suppose 3*m - 114 = 5*b, m + 0*b - 2*b - 38 = v. Calculate the remainder when m is divided by 20.
18
Suppose 0 = -0*n + n + 4*p - 42, -3*n = 3*p - 81. Suppose -4*f - 4 = 2*v, 26 + 15 = 2*v - 5*f. What is the remainder when n is divided by v?
6
Let v(h) = h**3 + 10*h**2 - 10*h + 14. Let a be v(-11). Let w = a + 1. Suppose -z - w*z = -40. What is the remainder when 23 is divided by z?
7
Suppose -285 = 4*a - 7*a. Calculate the remainder when a is divided by 14.
11
Suppose -5*p + 13 = m, -2*m + 5*m + 2*p = 13. Suppose -15 = -m*z - 2*z. Calculate the remainder when 5 is divided by z.
2
Suppose -154 - 86 = -12*w. What is the remainder when 27 is divided by w?
7
Let b be 120 + (-6)/4*-2. Suppose -5*q + b + 2 = 0. Calculate the remainder when q is divided by 7.
4
Calculate the remainder when 31 is divided by -1*(10/50 + 112/(-10)).
9
Suppose 5*s - y = s + 16, -4*s + 28 = -4*y. Suppose -d = -s + 1. Suppose 3 = 2*b - 5*j, 4*b - d = j + 13. Calculate the remainder when b is divided by 2.
0
Let c(n) = -n + 6. Let r be c(4). Suppose r*m - 15 = -3*f, 6*f - 5*m = 3*f + 15. Let p(o) = -o**2 - 7*o + 3. Calculate the remainder when p(-6) is divided by f.
4
Suppose 0 = 16*q - 19*q + 114. What is the remainder when q is divided by 11?
5
Suppose -3*s - 2*q = -80 + 7, 2*q = 4*s - 88. Let j(o) = 12*o**2 - 3*o + 3. What is the remainder when j(2) is divided by s?
22
Suppose 0 = -0*i - 2*i + 10. Suppose -i*r + 22 = -3*r. What is the remainder when (-66)/(-2) + -2 + 0 is divided by r?
9
Let u(x) = -12*x + 52. Calculate the remainder when u(-10) is divided by 44.
40
Suppose 2*z + 0*z = 106. Calculate the remainder when z is divided by 14.
11
Suppose -3*h = -10 + 154. Let r = 1 - h. What is the remainder when r is divided by 13?
10
Let m(j) = -j + 6. Suppose -3*l - 40 = 4*r - 1, 5*r + 3*l = -51. Let t be (-2)/(-8) - (-3)/r. What is the remainder when 16 is divided by m(t)?
4
Suppose -4*d = 3*r + 83, -r = -4*d + 4*r - 75. Let t = d + 29. Suppose n - 30 = -2*a, -4*a + 3*a + n = -t. Calculate the remainder when a is divided by 7.
6
Let q = 82 + -39. What is the remainder when q is divided by 25 + -1*(-9)/(-3)?
21
Let h(n) = -n**2 - 9*n - 6. Calculate the remainder when h(-7) is divided by 5.
3
Let j be ((-5)/(-2))/(3/18). Suppose 53 = -f - 2*g, -j = -3*g - 2*g. Let p = -15 - f. Calculate the remainder when p is divided by 15.
14
Let b = 49 + -12. Suppose -3*o - b = -5*o - 5*p, o - 16 = -2*p. What is the remainder when 17 is divided by o?
5
What is the remainder when 124/(-10)*(-15)/6 is divided by 17?
14
Let q(d) = -16*d. Calculate the remainder when q(-1) is divided by 6.
4
Let h be (3 - 20/(-16))*8. Let v = -20 + h. What is the remainder when 54 is divided by v?
12
Suppose 0 = -5*z - 3*f - 283 - 428, f = z + 139. Let r = -8 + 4. What is the remainder when 1/(-4) + z/r is divided by 12?
11
Let f = 11 + -10. Let q(h) = -f + 11*h + 1 - 3 - 5 - h**2. What is the remainder when 29 is divided by q(8)?
13
Suppose -5*b = -b - 8. Suppose t = -b*t + 108. Calculate the remainder when t is divided by 13.
10
Let y = -1 - 0. Let c = y + 1. Suppose 3*d = 5*w - c*d - 4, -5*w + 2*d = -6. Calculate the remainder when w is divided by 1.
0
Let g(b) = b**2 - 9 + 0*b**2 - b + 4. Suppose 3*w = m - 16, -5*m = -2*w + 3*w - 16. What is the remainder when 28 is divided by g(w)?
13
Let i = -24 - -36. Calculate the remainder when 46 is divide