-45. What is the remainder when 47 is divided by t?
11
Let o be (-8 + 1)/((-1)/9). Let u = -32 + o. Calculate the remainder when u is divided by 8.
7
Let u be ((-15)/(-10))/(9/24). Let g(w) = 3*w + 1. Calculate the remainder when g(u) is divided by 7.
6
Suppose 0 = 4*f + f - 15. Suppose i + 4*z = 31, 0*i = -f*i - 5*z + 58. What is the remainder when 21 is divided by i?
10
Let r(p) = -p - 1. Let c be r(-3). Suppose c*m + 0*m = 34. What is the remainder when m is divided by 10?
7
Let x(y) = -y**2 + 10*y - 4. Calculate the remainder when 67 is divided by x(7).
16
Suppose -48*a + 50*a - 194 = 0. Calculate the remainder when a is divided by 49.
48
Let c = -39 + 56. Let b(r) = r**2 - 15*r - 20. Calculate the remainder when 53 is divided by b(c).
11
What is the remainder when -1 - 0 - (8 + -37) is divided by 16?
12
Suppose -w = 4*u - 694, 4*u - 369 = 2*w + 331. What is the remainder when u is divided by 44?
42
Suppose -45 = -2*x + 49. What is the remainder when x is divided by 25?
22
Suppose 0 = -k + 5 - 1. What is the remainder when k is divided by 4?
0
Let k = 2 + 0. What is the remainder when -3 - ((-4)/k + -5) is divided by 2/2*1 - -1?
0
Suppose 0 = -12*y + 3*y + 54. Calculate the remainder when 5/1*3/1 is divided by y.
3
Suppose 2*r - 2*v + 7*v = -20, 3*r + 5*v = -20. What is the remainder when 26 is divided by (r + 1/2)*28?
12
Let k(y) = -y. Let l be k(-2). Let j be 1*(l - (0 + 2)). What is the remainder when 5/(3/33 - j) is divided by 19?
17
Let c(z) = 4*z**3 - 11*z**2 - 9*z - 4. Let s(g) = 3*g**3 - 11*g**2 - 9*g - 3. Let k(n) = 4*c(n) - 5*s(n). Calculate the remainder when 24 is divided by k(-10).
6
Let q = -31 - -53. What is the remainder when 43 is divided by q?
21
Suppose 20 = -4*n - n. Let a = 3 - n. Calculate the remainder when 19 is divided by a.
5
Let g be ((-5)/(-2))/(-5)*0. Suppose 4*b - 2*v - 2 = 26, g = -4*v. What is the remainder when 13 is divided by b?
6
Suppose -5*l + 915 = 380. What is the remainder when l is divided by 9?
8
Let m(b) = -b**3 - 5*b**2 + 7*b + 8. Let g be m(-6). Suppose g*c + 31 = 103. Calculate the remainder when c is divided by 13.
10
Suppose 0 = -9*x + 11*x - 46. Suppose 0*n = 3*n - 15, -4*z + 36 = 4*n. Calculate the remainder when x is divided by z.
3
Let u(i) = -i**3 - 10*i**2 - 3*i - 18. Let z = -62 - -96. What is the remainder when z is divided by u(-10)?
10
Suppose 0*g + 3*g + 6 = -l, 0 = g + 3. Suppose 45 = 2*a + l*a. Calculate the remainder when 26 is divided by a.
8
Let d(u) = -23*u - 57. What is the remainder when 403 is divided by d(-5)?
55
Let x(z) = z + 3. Let a be x(-2). Let r(w) = 13*w**3 - w**2 + w. Calculate the remainder when r(a) is divided by 5.
3
Calculate the remainder when 20 is divided by 68/6 - 2/6.
9
Let w(f) = -f**3 - 14*f**2 - 3*f - 15. What is the remainder when w(-14) is divided by 14?
13
Let r = 1 - -2. Suppose r*p + g + g - 41 = 0, -2*p + 28 = 2*g. Suppose 5*s - 4*d = 54 - 21, -12 = -4*s - 4*d. Calculate the remainder when p is divided by s.
3
Suppose -131 = -5*f - 31. Suppose 0 = -6*c + c - l + 17, 0 = 2*c - 3*l. Calculate the remainder when 19*c + 1/1 is divided by f.
18
Suppose 4 = 5*k + 5*p - 1, 0 = -p + 2. What is the remainder when -3 - (-1 - (12 + 0)) is divided by -1 - 5*1/k?
2
Let s = 6 + 93. Calculate the remainder when s is divided by 34.
31
Suppose 0 = 3*f, -k + 5*f + 0 = -5. Suppose -5*m + 4*l = 7*l - k, -2*l = 0. What is the remainder when 2 is divided by 2 + -1 + m + 0?
0
Suppose -7*m + 2*m = -10. Suppose 2*v = 7*v - 4*f - 24, m*f = 8. Calculate the remainder when (-9 + -1)*6/(-4) is divided by v.
7
Let c = -12 + 12. Suppose -w + 2 = 4*g - 3, 5*w + 5*g - 25 = c. Calculate the remainder when w is divided by 4.
1
Let c = 41 - 11. Calculate the remainder when c/4*16/3 is divided by 21.
19
Let g(b) = b**2 + 2*b - 4. Let i be g(-3). Let r(v) = 8*v**2 + v + 1. Let t = -201 + 204. Calculate the remainder when r(i) is divided by t.
2
Let h(m) = -m**3 - m**2 + 3*m + 2. Let l be h(-2). Let z = 0 - l. Let b = z - -13. Calculate the remainder when b is divided by 5.
3
Suppose -4*k + 3*k + 2*y + 41 = 0, -75 = -2*k - 3*y. Calculate the remainder when k is divided by 14.
11
Suppose 4*o + 32 = u, -5*u + 10*u - 5*o - 175 = 0. Let y(x) = x**2 - 11*x - 7. What is the remainder when u is divided by y(13)?
17
Suppose 0 = -4*n - 6 + 74. Suppose -4*j - n + 137 = 0. Calculate the remainder when j is divided by 11.
8
Let j = -10 + 17. Calculate the remainder when 13 is divided by j.
6
Let k = 6 - -4. Calculate the remainder when 37 is divided by k.
7
Let n(j) = 9*j**2 + 2*j - 9. Let w(m) = -26*m**2 - 6*m + 26. Let q(x) = -17*n(x) - 6*w(x). What is the remainder when q(-6) is divided by 24?
21
Suppose -3*m = -4*t + 140, -t + 4*t - 5*m = 94. Suppose i - 26 = -i. What is the remainder when t is divided by i?
12
Let n = -51 + 107. What is the remainder when n is divided by 12?
8
Let l(q) = -6*q + 30. Calculate the remainder when 79 is divided by l(0).
19
Suppose 5*n + 0*n - 220 = 0. Let k be (-78)/(-1) - (-4 - -3). Suppose 34 = -3*f + k. What is the remainder when n is divided by f?
14
Suppose 4*t + 35 = 3*c, -8*t - 47 = -4*c - 3*t. Let m = -35 - -75. Let s = 77 - m. What is the remainder when s is divided by c?
11
Let l(u) = u**3 + 11*u**2 - 13*u. What is the remainder when 81 is divided by l(-12)?
9
Let c = 131 - 56. Suppose -11*f + c = -6*f. Calculate the remainder when 58 is divided by f.
13
What is the remainder when 7072/234 + 4/(-18) is divided by 8?
6
Let t = -2 - -7. Let h(w) be the second derivative of 13*w**4/12 + w**2/2 - w. What is the remainder when h(-1) is divided by t?
4
Let l be 3*(-1)/(4 - 3). Let q = -1 - l. Calculate the remainder when q is divided by (4/6)/((-4)/(-6)).
0
Let z(c) = -3*c. Let n be z(1). Suppose 3*p - 3 = 5*s, 0 = 3*s - p + 6 - 1. What is the remainder when 15 - (0 + s/n) is divided by 8?
6
Let i(k) = k**3 - 6*k**2 + 3*k. Let n be i(4). What is the remainder when 19*(-5)/(n/8) is divided by 13?
12
Let g(x) = x**2 + 15*x + 20. Calculate the remainder when g(-18) is divided by 19.
17
Suppose -14 = 3*l + 4*m, l - 2*m - m - 17 = 0. Suppose 0 = 5*r - l*r - 21. What is the remainder when 25 is divided by r?
4
Let r(i) = 2*i - 7. Let a(l) = l - 2. Let m be a(-3). Let y be r(m). Let c = -9 - y. What is the remainder when 31 is divided by c?
7
Let z be (-1 - 0) + 0 + 4. What is the remainder when (4 - 1) + (-12)/(-6) is divided by 0 + (1 - (1 - z))?
2
Let d = -3 + 4. Calculate the remainder when d - -9 - (-1 + 1) is divided by 4.
2
Let m be 664/(-6)*(-21)/14. Suppose -v = -0*v - 5. Suppose 0 = v*x + 31 - m. Calculate the remainder when x is divided by 14.
13
Let p be (-5)/(5/26) + 0. Let g = p + 45. Suppose 0 = 4*y + 4*x - 4, 4*y - g = x. Calculate the remainder when y is divided by 2.
0
Suppose -2*b = 5*l - 30, 29 = 5*b - 2*l + 3*l. What is the remainder when 24 is divided by b?
4
Let p(a) = -a**3 - 7*a**2 + 7*a - 4. Let f = -11 - -3. Calculate the remainder when p(f) is divided by 3.
1
Suppose -46 = -3*q + 38. Calculate the remainder when 108 is divided by q.
24
Suppose -j = -3*j - 3*b + 19, 5*b - 37 = -4*j. What is the remainder when 22 is divided by j?
6
Suppose -2*y - 12 = 10. Let o = y - -22. Let h = 75 - 43. Calculate the remainder when h is divided by o.
10
Suppose 4*k - 9 = 3*k. What is the remainder when 26 is divided by k?
8
Suppose 2*n + 60 = 4*n. Suppose -i = -3*l + 28, -9 - 7 = 4*i. Calculate the remainder when n is divided by l.
6
Suppose -5*s = -173 - 37. Let f = -15 + 26. Calculate the remainder when s is divided by f.
9
Suppose 7*t + 0 = 98. Let p(y) = 2*y**2 - 7*y + 4. Calculate the remainder when p(7) is divided by t.
11
Let s(u) = 23*u**2 - 5*u + 4. Let y be s(2). Suppose -y = -2*n - 10. What is the remainder when n is divided by 10?
8
Suppose -36 - 19 = -5*b. Suppose -t + 13 = -0*t - 3*p, 43 = 5*t - 4*p. Calculate the remainder when 149/t + 2/(-7) is divided by b.
10
Let f = 39 + 5. What is the remainder when f is divided by 15?
14
Suppose 2*f + 0*o = o + 8, -4*f + 16 = -3*o. Let x = f - -1. What is the remainder when 13 is divided by x?
3
Let k = 32 + -9. What is the remainder when 113 is divided by k?
21
What is the remainder when 24 is divided by (-2 + 2 - -1)*9?
6
What is the remainder when (-435)/(-25) - (-4)/(-10) is divided by 11?
