 = 0. Suppose 2*j + j - 90 = 0. Let n = c + j. What is the remainder when n is divided by 7?
5
Let n(y) = y**3 - 7*y**2 + 56*y + 4. Calculate the remainder when n(5) is divided by 83.
68
Suppose -2*j - 28 = -u, 3*u + 4*j - j = 84. Let q = -10 + 16. What is the remainder when q is divided by (u/(-8) - -3)*(-12)/2?
0
Calculate the remainder when 244/6*9/6 is divided by 52.
9
Let s(q) = q**3 + 29*q**2 - 30*q + 28. What is the remainder when 238 is divided by s(-30)?
14
Let v be (-2 - -12)/(1*2). Suppose 0*w + 5*w - l = 240, -v*w = -3*l - 250. What is the remainder when w is divided by 10?
7
Let t(s) = 166*s**2 - 16*s - 15. Calculate the remainder when t(-1) is divided by 24.
23
Let l(d) = -2*d + 2. Let y(v) = v**2 - 9*v + 3. Let q be y(9). Suppose n + 4*j - 6 = 0, n + 5*j + 51 = q*n. Calculate the remainder when n is divided by l(-4).
8
Let j(c) = -2*c + 5. Let k be j(0). Suppose k - 14 = 3*i. What is the remainder when 57 is divided by -2*(-46)/4 + i?
17
Suppose a = 3 + 66. Calculate the remainder when a is divided by 9.
6
Suppose y = 3*y - 5*p + 7, -y + 4*p = 2. Let v = y - -8. Suppose o - 21 = t + 6*o, -2 = 2*t + v*o. Calculate the remainder when t is divided by 3.
1
Let y(c) = 22*c - 3. Suppose 5*r - 20 = 0, -4*r = 4*i - 0*i - 80. Calculate the remainder when y(2) is divided by i.
9
Suppose -516*d + 494*d + 836 = 0. Suppose 3*q = -2*n - 2*n + 18, q - 3*n = 19. What is the remainder when d is divided by q?
8
Suppose 31*o - 32*o + 79 = 0. Suppose -2*s + o = 5*r, -5*s = 3*r + r - 223. What is the remainder when s is divided by 4?
3
Suppose -4*d - f + 733 = 0, -2*f = 2*d - 138 - 236. Let s = d - 119. Let w = s + -44. Calculate the remainder when w is divided by 7.
5
Let q = -21 + 21. Suppose -3*i + 68 + 37 = q. Suppose 2*s - 36 = -2*s. What is the remainder when i is divided by s?
8
Let x = -9011 - -9034. What is the remainder when 10*(54/4)/1 is divided by x?
20
Let m(d) = -5*d**2 - 2 + 7*d + 9 + 2*d**3 - 26*d + 7*d. What is the remainder when m(5) is divided by 25?
22
Suppose 8*g = 5*g + 6, g - 322 = -4*r. Calculate the remainder when r is divided by 27.
26
Suppose 668 = 58*c - 492. What is the remainder when c is divided by 14?
6
Let c = 37 - 39. Let z = 30 + c. Calculate the remainder when z is divided by 10.
8
Let a(v) = v**2 + 6*v + 48. Calculate the remainder when a(-18) is divided by 125.
14
Let d = -1202 + 1210. Calculate the remainder when 72 is divided by d.
0
Suppose 5*x - x - 3*j - 21 = 0, 4*x + 3*j - 3 = 0. Suppose x*w = -3*d + 75, -w = -0*d + 5*d - 141. Calculate the remainder when d is divided by 15.
14
Let l(p) = 7*p - 17. Let w be l(3). Calculate the remainder when 22 is divided by ((-3 - 0) + w)/(4/52).
9
Let r = 27 + -4. Calculate the remainder when 4/(-6) + (-275)/(-3) is divided by r.
22
Suppose -2*u + 2*p + 22 = -2*p, -3*p + 6 = 3*u. Suppose 5*b - 229 = -l, 0 = u*b - 3*l - 0*l - 213. What is the remainder when b is divided by 6?
3
Suppose 0 = l - i + 1, -2*l + l - 13 = 3*i. Let b(k) = -4*k + 13. What is the remainder when 55 is divided by b(l)?
26
Let l(f) = 68*f**2 + 16*f - 75. What is the remainder when l(4) is divided by 40?
37
Let a = -18 - -4. Calculate the remainder when 6/a + (-412)/(-14) is divided by 16.
13
Suppose 5*m = -3*m. Suppose -4*v = 4*w - 232, -3*w - 3*v - v + 176 = m. Calculate the remainder when w is divided by 29.
27
Let h = 33 + -42. Let m = 3 - h. What is the remainder when m is divided by 4?
0
Let x be (-2)/(-6)*(-17 + 44). Suppose 0 = -2*o + x + 15. What is the remainder when 20 is divided by o?
8
Suppose -15 = 3*y, -2*m + 445 = 2*m - 5*y. What is the remainder when m is divided by 8?
1
Let m = 21 + -1. Let a = -295 - -165. Let o = -92 - a. Calculate the remainder when o is divided by m.
18
Suppose -15 + 1 = g. Let o be g/(-63) - (-68)/18. Suppose 2*q - o*q = -8. Calculate the remainder when 11 is divided by q.
3
Suppose 66 = -3*y + 5*y. What is the remainder when -2*((-505)/10 + -13) is divided by y?
28
Let b(d) = -d**2 - 5*d - 17. Let l be b(-5). Let w(f) = -f**3 - 3*f**2 - 3*f. Let j be w(-4). Let u = l + j. Calculate the remainder when 42 is divided by u.
9
Let k(g) = 2*g + 98. Calculate the remainder when 277 is divided by k(-29).
37
Calculate the remainder when (-8385)/78*(-4)/5 is divided by 15.
11
Let p = -234 + 247. Calculate the remainder when 146 is divided by p.
3
Let z = 51 - 34. Let d = 39 + -37. Suppose v = 5*h - v - 339, -d*h + 138 = -2*v. Calculate the remainder when h is divided by z.
16
Suppose -257*a + 180 = -253*a. Calculate the remainder when a is divided by 23.
22
Let g be 64/14 + ((-100)/28 - -4). Let b(v) = v**3 + 2*v**2 - 2*v + 3. Let t be b(-3). Suppose g*c - c - 16 = t. Calculate the remainder when 6 is divided by c.
2
Suppose -38 - 12 = -2*s - 5*y, 4*s - 70 = 5*y. Calculate the remainder when 51 is divided by s.
11
Let o(s) = -8*s**3 - 2*s**2 + 1. Let f = 24 - 25. What is the remainder when 18 is divided by o(f)?
4
Let i = 42 + -12. Calculate the remainder when 110 is divided by i.
20
Suppose 23 - 47 = 6*r. What is the remainder when ((-65)/35)/(r/28) is divided by 4?
1
Suppose 4*x - 58 = -4*h + 5*x, h - 5*x - 24 = 0. Suppose -3*y + s + 5 = -y, 0 = -y - 4*s - 11. What is the remainder when h is divided by ((-3)/(-1) - y) + 9/3?
4
Let k = 2 + -2. Let q = 125 - 116. Suppose 4 = 5*w + q, 5*u + 3*w - 42 = k. Calculate the remainder when 17 is divided by u.
8
Calculate the remainder when ((-47)/(-5))/(30/300) is divided by 34.
26
Suppose 23*d - 656 = 839. Calculate the remainder when 336 is divided by d.
11
Suppose -9 = -2*u - 5. Suppose -u*o = -15 - 31. What is the remainder when o is divided by 9?
5
Let f = 7 + 33. Let w = 42 - f. Calculate the remainder when 11 is divided by w.
1
Let m = -84 - -89. Calculate the remainder when 10 is divided by m.
0
Let b(a) = -a + 9. Suppose 0 = -5*m + 4*m + 20. Calculate the remainder when m is divided by b(2).
6
Suppose -80 = 2*j + 2. Let f = 68 + j. What is the remainder when f is divided by 8?
3
Let g = -33 - -35. Let o = -9 + 14. Suppose -o = -f - 0*f. Calculate the remainder when f is divided by g.
1
Suppose -26 = -n + 5*a, -2*a = -3 - 3. Suppose 3*b - 48 = 3*p, 4*p + p + 14 = -b. Calculate the remainder when n is divided by b.
8
Suppose -18 = -2*i + 20. Suppose 0 = 4*p - 2325 + 2025. Calculate the remainder when p is divided by i.
18
Let u = 9 + -9. Let o = u - -30. Calculate the remainder when o is divided by 8.
6
Suppose -4*j - 33 + 141 = 0. What is the remainder when j is divided by (4 - 46)*(-5)/15?
13
Suppose 43*z = 42*z + 98. Let i = -37 + z. What is the remainder when i is divided by 33?
28
Let a(m) = 10*m + 1. Suppose 11 = -f + 5*l + 57, -2*l + 80 = 2*f. Calculate the remainder when f is divided by a(2).
20
Suppose -155 - 307 = -21*u. What is the remainder when 31 is divided by u?
9
Let b = 10 + -6. Suppose -5*s + b*j = -174, s - 8 = 2*j + 22. Calculate the remainder when s is divided by 20.
18
Let c = -64 + 68. Suppose -c*y + 1 + 2 = -i, 0 = -4*y + 20. What is the remainder when i is divided by 6?
5
Let f(j) = -j**2 - 2*j - 10. Let v be f(5). Let a = v + 56. Let d = 4 + 2. What is the remainder when a is divided by d?
5
Let g(v) = 3 + v - 6*v + v**2 - 5*v + 0. Suppose 6*f = 2*f + 32. Calculate the remainder when f is divided by g(10).
2
Suppose 62 = k + 4*v, -k = v - 63 + 1. Let t(b) = 2947 - 2943 + b**2 - 3*b + 11*b. Calculate the remainder when k is divided by t(-9).
10
Let i(p) = 9*p**3 + p**2 - 1. Let c be i(1). Suppose -c = -7*j + 110. Calculate the remainder when 48 is divided by j.
14
Let d(q) = 3*q**2 + 3*q - 5. Let f = -5 - -13. Calculate the remainder when d(-4) is divided by f.
7
Let s(c) = -c**3 + 12*c**2 + 11*c + 26. Let p be s(13). Let f(o) = o**2 + 2*o + 46. What is the remainder when f(p) is divided by 6?
4
Let o = -25 + 16. Suppose 2*u + 3*h - 30 = 0, -5*u + 31 = 5*h - 44. Let p = u + o. Calculate the remainder when p is divided by 3.
0
Let h(x) = -2*x**3 - 2*x**2 + 2*x - 1. Suppose 19*c = 22*c + 12. Calculate the remainder when h(c) is divided by 30.
27
Suppose -4 = 4*d + 3*z, -3*z = -4*d - 0 + 20. Let k(x) be the first derivative of 3*x**2 - 2*x - 5. What is the remainder when 17 is divided by k(d)?
7
Let g = 1030 + -915. What is the remainder when 228 is divided by g?
113
Suppose 5*m = -56 + 276. Wh