q - 138 = -g, 1 + 5 = -3*g. Let n = 124 - 112. What is the remainder when q is divided by n?
10
Let g(d) = -d**2 - 8*d + 52. What is the remainder when g(0) is divided by 22?
8
Suppose -4*f = 3*u + 36, f + 26 = -4*u - 9. Let j = u - -20. What is the remainder when 23 is divided by j?
11
Suppose -z - 230 = -6*z. Suppose -r = -6*r. Suppose -48 = -3*u - r*u. Calculate the remainder when z is divided by u.
14
Let g(c) = -c**3 - 6*c**2 - 6*c - 3. Let b be g(-4). Let k = 0 - 2. What is the remainder when 8 is divided by (-5 - b)*k/(-4)?
2
Let t(z) = -z**2 + 2. Let o be t(0). Let p = -6 - o. Let g = 2 - p. What is the remainder when 28 is divided by g?
8
Let u = -58 + 92. Calculate the remainder when u is divided by 18.
16
Let h be ((-16)/5)/4*-15. Suppose 10*c + 14 = h*c. Calculate the remainder when 12 is divided by c.
5
Suppose 2*o - 232 = -2*o. Calculate the remainder when o is divided by 20.
18
Let x = -1 + 3. Suppose -x*q + q + 4 = 0. What is the remainder when q is divided by 2?
0
Let t be (0 + 1)*(2 - 1). Let z = t + 1. Calculate the remainder when (-56)/z*4/(-8) is divided by 8.
6
Calculate the remainder when ((-2)/2)/(3/(-57)) is divided by 10.
9
Let t(j) = -j**3 - 3*j**2 + 5*j + 5. What is the remainder when 1 is divided by t(-4)?
0
Let l(h) = 37*h - 5. Let x be l(-5). What is the remainder when 56 is divided by (x/(-20))/((-1)/(-2))?
18
Let y be (-1 - -19 - -1) + -1. Suppose 4*x = 2*x + y. Calculate the remainder when 17 is divided by x.
8
Let j(t) = t - 1. Let h be j(3). Let c be h/(2 - -2)*20. Let m = -4 + c. What is the remainder when 9 is divided by m?
3
Let i(g) = -2*g**2 - g. Let w be i(-2). Let n be (-4)/w - 70/15. Calculate the remainder when 47 is divided by 2/(-8) - 65/n.
15
Calculate the remainder when (4/(-5))/(-1) - 18711/(-405) is divided by 1 + 0 + 0 + 15.
15
Let b = 10 - 5. Suppose b*h + 6 = -4, 0 = -3*i + 4*h + 47. What is the remainder when i is divided by 8?
5
Suppose -p + 5*p = 12. Let b(j) = 5 + 9*j - 4 - p + 0. What is the remainder when 31 is divided by b(2)?
15
Suppose 4*g + 732 = 8*g. Suppose -s = -4*s + g. What is the remainder when s is divided by 16?
13
Suppose 0 = -4*g + 2 + 6. Let r(j) = -j**2 - 5*j + 3. Let b be (4 + -1)/((-15)/20). What is the remainder when r(b) is divided by g?
1
Let b = -28 + 51. Suppose -3*c = -9, -c = 2*r - 0*r - b. Calculate the remainder when 18 is divided by r.
8
Suppose -3*j - 2*j = 3*r - 5, 3*j + 1 = -r. Calculate the remainder when 13 is divided by r.
3
Let s be -4 - -4 - (-2 - -2). Suppose -4*w - w + 70 = s. Calculate the remainder when 55 is divided by w.
13
Let r(a) = 2*a**2 - 10*a + 7. Let g = 3 + 3. Let k be 4/(-12) + 44/g. What is the remainder when r(k) is divided by 9?
8
Suppose k + 118 = 6*k - 4*y, y = 3*k - 68. Let t be (-171)/33 - (-4)/k. Let f = t - -11. What is the remainder when f is divided by 4?
2
Let s(t) = t**2 + 2*t + 3. Let i be 27/(-6)*(-16)/6. What is the remainder when s(3) is divided by (-2)/i + (-122)/(-12)?
8
Let s(y) = 58*y**3 + 2*y**2 - 4*y + 2. Calculate the remainder when s(1) is divided by 31.
27
Let n = 22 - 14. Let c = n + -3. Calculate the remainder when 7 is divided by c.
2
Suppose 3*z + 2*z = -10. Let w = 4 + z. Suppose -4*x = -w*x - 16. What is the remainder when x is divided by 5?
3
Suppose 10*i - 3*i - 49 = 0. Let s(z) = z**3 - 3*z + 2. What is the remainder when s(3) is divided by i?
6
Let q = 196 + -186. Let a(o) = 6*o**2 - 3*o. Calculate the remainder when a(2) is divided by q.
8
Let t(d) = 7*d - 2. Let z be t(2). Let m = z - -6. Calculate the remainder when 5/(10/72) + -1 is divided by m.
17
Suppose -102 = -4*g + g. Suppose 5*b = -2 + 12. Suppose h - 54 = -b*h. Calculate the remainder when g is divided by h.
16
Let x be 12/(-16)*(1 + 3). Let c be 0/((8 + -2)/x). Suppose 4*z + c*q - 20 = -4*q, 5*q = -3*z + 11. What is the remainder when 13 is divided by z?
6
Let i = 162 + -107. Suppose -3*w = 2*y - 3*y + 232, 228 = -3*w + 3*y. What is the remainder when i is divided by w/(-4) + (-2)/4?
17
Suppose -1 = -o + 1. Suppose -o*x + 12 = 2*x, 5*i + 2*x = 121. What is the remainder when 44 is divided by i?
21
Suppose -3*r + 2*v + 26 = -27, 3*r - 4*v - 49 = 0. Let w(l) = 2*l**3 + 23*l**2 + 10*l + 26. What is the remainder when w(-11) is divided by r?
18
Let o = 12 - -30. Let y = -6 - -17. What is the remainder when o is divided by y?
9
Suppose 4*a + 7 - 19 = 0. What is the remainder when 202/18 - (-4)/(-18) is divided by a?
2
Let v = -14 - -25. Calculate the remainder when v is divided by 3.
2
Let b(u) = u**2 - 6*u - 10. What is the remainder when b(9) is divided by 10?
7
Let k = 41 + -25. Suppose -2*r - 2*r = -124. What is the remainder when r is divided by k?
15
Let v = -24 + 33. Let k(o) = o**3 + 4*o**2 - o. Let g(s) = -2*s + 2. Let t be g(3). Calculate the remainder when v is divided by k(t).
1
Let l = -140 - -278. What is the remainder when l is divided by 35?
33
Let n = 14 + -12. Suppose -m + 27 = n*m. What is the remainder when 25 is divided by m?
7
Let h(b) = 5*b**3 + 5*b**2 + 3*b + 3. Let q be h(4). Suppose -q = -3*a - 2*a. What is the remainder when a is divided by 21?
20
Suppose 11 = -3*b - 5*k, b + k = -k - 3. Let n be 4*1 + 7/b. What is the remainder when 14 is divided by -1 - 3*(-6 + n)?
6
Calculate the remainder when (-1581)/(-21)*1 + (-6)/21 is divided by 4.
3
Suppose 176 = s - 5*s. What is the remainder when 43 is divided by 1 + s*4/(-8)?
20
Suppose -3*u - s = -3*s - 109, -119 = -3*u + 4*s. Let c be 0 - (u*-6)/(-3). Let m = 95 + c. Calculate the remainder when m is divided by 8.
5
Suppose -2*u + 18 + 44 = 0. What is the remainder when 183 is divided by u?
28
Suppose k = 5, 0*k + 68 = f + 4*k. What is the remainder when f is divided by 10?
8
Let j(f) = 4*f + 1. Let o = 8 - 5. Calculate the remainder when 37 is divided by j(o).
11
Let r(w) = -w**3 + 8*w**2 - 6*w - 4. Let b be r(6). Let y = -16 + b. Calculate the remainder when 45 is divided by y.
13
Let g(b) = b**2 - 17*b + 21. What is the remainder when 62 is divided by g(17)?
20
Let p(f) = -2*f - 7 + 1 + 3*f**2 - 2*f**2. Suppose -10 = j - 4*a, 0*j + 4*a - 4 = 2*j. Calculate the remainder when p(j) is divided by 7.
4
Suppose -37*k + 41*k - 148 = 0. Calculate the remainder when k is divided by 10.
7
Let k be 4/(0 - 3/(-3)). Suppose k*m - 7*m = -108. Suppose -3*r - r = -m. Calculate the remainder when 25 is divided by r.
7
Let g = -66 + 95. What is the remainder when g is divided by 8?
5
Let c(o) = -o**3 - 4*o**2 + 8*o + 4. What is the remainder when c(-6) is divided by ((-16)/12)/(2/(-15))?
8
Suppose 0 = -3*m - 3*o - 11 + 65, -m + 6 = -2*o. Suppose -2*v = -3*w - 0*v + 13, -m = -2*w + 4*v. What is the remainder when 3 is divided by w?
0
Let x = 6 - 2. Suppose 198 = x*h - h. Calculate the remainder when (h/12)/(1/2) is divided by 3.
2
Let b be 2*3/12*-2. Calculate the remainder when 9 is divided by (b + 0)*(-4 - 1).
4
Let d = -16 - -22. What is the remainder when 11 is divided by d?
5
Suppose 5*d = -4*g + 10 + 57, -3*d = 2*g - 41. Let r = -26 + 84. What is the remainder when r is divided by d?
13
Let d = 9 + -6. Suppose p - 31 = -y - 9, 4*y + d*p = 83. Calculate the remainder when y is divided by 9.
8
Let c(g) be the third derivative of g**4/12 - g**3/6 + 3*g**2. Calculate the remainder when 51 is divided by c(7).
12
Suppose 0*n + 4*n - 164 = 0. Let c(d) = d**3 + 6*d**2 + 6*d + 3. Let z be c(-5). What is the remainder when n + (-1 - 1 - z) is divided by 14?
13
Let j be 126 - (-3)/((-3)/1). Suppose i = 1, -5*i + j = 4*b - 28. Calculate the remainder when b is divided by 13.
11
Let n(v) = -v**2 + 6*v - 6. Let k be n(6). Calculate the remainder when 4 is divided by (4/k - -1)*9.
1
Let s be 31 - (-2)/6*-3. Let l = s - 16. Calculate the remainder when (28 - -1) + -1 + -1 is divided by l.
13
Let u be (0 - 2/(-3))*18. What is the remainder when 14 is divided by 6/(-36) + 62/u?
4
Let j(n) = 7*n - 2. Suppose -3*b + 4 + 2 = 0. Let f(z) = -z**3 + 6*z**2 + 7. Calculate the remainder when j(b) is divided by f(6).
5
Let y(r) = -2*r**3 - 3*r**2 - 3*r - 13. Let o(x) = 3*x**3 - 2*x**2 - 3*x + 2. Calculate the remainder when y(-3) is divided by o(2).
11
Let k(c) = -c**3 - 3*c**2 - c - 3. Let t be k(-3). Suppose t = h - 2, a - 2*h + 44 = 3*a. What is the remainder when 77 is divided by a?
17
Suppose 