6 + y. Calculate the remainder when w is divided by v.
5
Suppose 13 = h - 4*p, 5*h = 5*p - 0*p + 50. Calculate the remainder when h is divided by 2.
1
Suppose -2*n + 3*f + 31 = 0, 4*n = -4*f + 15 + 77. Suppose 3*d + d = n. Let x = -24 + 38. What is the remainder when x is divided by d?
4
Suppose 4*c = 5*o + 16 + 11, -70 = -5*c - o. Let y(r) = -r**3 + 7*r**2 - 3*r + 2. Calculate the remainder when y(5) is divided by c.
11
Let h = -43 + 76. Calculate the remainder when h is divided by 5.
3
Let r(z) = -z**2 - 6*z**2 - z - 5 + 2*z**2 - z**3. What is the remainder when r(-6) is divided by 19?
18
Suppose -3*k = -b - 23, -2*b + 7*b = 5*k - 95. Suppose 4*r = 3*r - 3, 4*r + 157 = 5*l. Let p = b + l. Calculate the remainder when 46 is divided by p.
10
Let z = -9 - -5. Let s(r) = -r + 23. Let k(p) = p - 22. Let t(w) = z*s(w) - 5*k(w). What is the remainder when 38 is divided by t(8)?
8
Suppose -5*o + 3*l + 15 = 0, 0 = -0*o + 3*o - 2*l - 9. Suppose -2*i - o*i = -145. Calculate the remainder when i is divided by 10.
9
Suppose -3*m = 4*d - 114 - 0, d + 4*m = 35. What is the remainder when 79 is divided by d?
25
Suppose -3*p = -p - 130. Calculate the remainder when p is divided by 17.
14
What is the remainder when 33 is divided by (2 + 53)*17/85?
0
Suppose 0*n - 20 = -4*n. What is the remainder when n is divided by 2?
1
Suppose 12 = 3*c - 6. Let g = 42 - c. Calculate the remainder when 69 is divided by g.
33
Let s = 1048 - 1550. Calculate the remainder when s/(-8) + (-6)/8 is divided by (21/4)/(3/12).
20
Let k(u) = -2. Let z(y) = -7*y + 2. Let i(w) = 4*k(w) + 2*z(w). Calculate the remainder when i(-4) is divided by 18.
16
Suppose 3*i + 26 = 3*z - 2*i, 5*i + 24 = 2*z. Let v(m) = m + 15. What is the remainder when z is divided by v(-13)?
0
Calculate the remainder when 20 - (2 + (4 - 3)) is divided by 9.
8
Suppose 2*j + 36 = q, -3*j = 4 + 2. Let a be 2*6/8*2. Let b(d) = d**2 + 2. What is the remainder when q is divided by b(a)?
10
Let q be ((-3)/4)/((-1)/4). Suppose 11 + 1 = q*v. Suppose 5*m - 3*w + 38 = 7*m, v*m - w = 76. What is the remainder when 37 is divided by m?
18
Suppose -3*o = -4*n + 30, 5*n + 5*o = -0*o + 20. Let y(k) = 2*k - 38*k**3 - 6*k - 5*k**2 + 5 + 39*k**3. Calculate the remainder when 33 is divided by y(n).
16
Calculate the remainder when 2 - -34 - -2*1 is divided by 1/6 + 236/24.
8
Let i = 87 - 47. Calculate the remainder when i is divided by 14.
12
Suppose -5*q + 88 = -q. Let s(z) = -2*z + 4. Calculate the remainder when q is divided by s(-4).
10
Let m = 4 + 23. Suppose -8*p + 13*p - 215 = 0. What is the remainder when p is divided by (-2)/(-9) + 588/m?
21
What is the remainder when 66 is divided by 2*(5 + (-35)/(-10))?
15
Let c = -2 - -10. What is the remainder when 33 is divided by c?
1
Let o be (0 - 0)/(-1) + 2. Suppose o = w - 18. Calculate the remainder when w is divided by 11.
9
Let h(l) = 37*l**2 + l - 1. Calculate the remainder when h(1) is divided by 20.
17
Suppose -4*g + 133 = 5*w, g + 4*w = 6*w + 30. Suppose k + k = -2*f + g, 1 = k - 2*f. Calculate the remainder when 19 is divided by k.
8
Suppose -2*u + 0*f + 4 = -f, u - 2 = f. Suppose 0 = 8*j - 27 + 3. What is the remainder when j is divided by u?
1
Suppose -2*j = -4*j. Suppose j = t + 5 - 2, -3*x + 144 = 4*t. Suppose -2*m = -30 - 6. What is the remainder when x is divided by m?
16
Let a = 86 + -179. Let s = -66 - a. What is the remainder when s is divided by 14?
13
Let m = 16 + -9. Let g(l) be the first derivative of -l**3/3 + 9*l**2/2 + 5*l + 2. Calculate the remainder when g(7) is divided by m.
5
Let h = -66 - -92. What is the remainder when h is divided by 7?
5
Suppose 0 = 7*o - 2*o - 15. Suppose -2*h + 5*k = 8, -4*k - 2 + 0 = -o*h. What is the remainder when 17 is divided by h?
5
Suppose -90 = -4*j - i, 0*i = -2*j - 4*i + 52. Calculate the remainder when (-512)/(-4)*(-1)/(-2) is divided by j.
20
Let k = -6 - -11. Suppose 3*s = -k*t + 60, s + t + 3*t - 20 = 0. Calculate the remainder when 77 is divided by s.
17
Let x = 5 - 12. Let o = x - -11. Calculate the remainder when 0 + 6*(0 + 1) is divided by o.
2
Suppose -j = 1 - 3. Suppose -4 = n - 2*n. What is the remainder when n is divided by j?
0
Let y(n) = -n**3 - 7*n**2 - 7*n - 4. Let w be y(-6). Let s = w + 1. Let x = 37 - 28. What is the remainder when x is divided by s?
0
Let j(f) = f**3 - 3*f**2 - 2*f. Let o = 0 + 2. Suppose o*v - 42 = -v - 3*p, -3*v - p + 44 = 0. Calculate the remainder when v is divided by j(4).
7
Let g(w) = w**2 - 3*w + 8. What is the remainder when 16 is divided by g(2)?
4
Suppose 0 = 3*t + 2*t + 95. Let v = t + 31. Let h = 86 + -51. Calculate the remainder when h is divided by v.
11
Let m(v) = v - 9. Let x be m(5). What is the remainder when ((-4)/(-6))/(x/(-120)) is divided by 11?
9
Suppose l = -0*f - f - 2, 5*l - 40 = 5*f. Suppose -2*i = 3*i + l*p - 8, 0 = -3*i - 3*p. What is the remainder when 6 is divided by i?
2
Let g = -144 + 205. What is the remainder when g is divided by 16?
13
Let s(x) = -130*x. Let q be s(-1). Suppose 3*u = -2*u + q. What is the remainder when u is divided by 14?
12
Let n be (-891)/(-12) - 1/4. Suppose 0 = -5*p + n + 271. What is the remainder when p is divided by 18?
15
Suppose 5*h + 4*w - 14 = 0, -6*w + 5*w - 34 = -5*h. What is the remainder when ((-6)/(-4))/((-3)/(-18)) is divided by h?
3
Suppose 1 = -2*s + 11. Suppose 0 = -0*r + s*r - 4*x - 25, 0 = 2*r - 5*x + 7. Calculate the remainder when (30/(-24))/(1/(-20)) is divided by r.
7
Suppose -235 = -2*y - 3*y. Let j = y - 15. Calculate the remainder when j is divided by 17.
15
Let x be 0*3/(-6) - -3. Suppose 0 = -j - g - 6, -g - 4 = 2*j + x*g. Let i = -5 - j. Calculate the remainder when 13 is divided by i.
3
Let v = 180 - 108. Calculate the remainder when v is divided by 19.
15
Suppose 4*h = -4*q + 88, -q = q - 2*h - 28. Calculate the remainder when 50 is divided by q.
14
Let w = 15 + 29. Suppose -5*b + 27 = -53. Calculate the remainder when w - (-2 + 3)*-2 is divided by b.
14
What is the remainder when 20 is divided by (10/2)/((-10)/(-12))?
2
Let u(m) = m + 1. Suppose 12 = 2*l + l. Suppose -y - r = -4, 0*r = y - 2*r - l. Calculate the remainder when y is divided by u(1).
0
Let n(l) = -12*l - 1. Let j(r) = r**2 - 11*r - 1. Let o(b) = 3*j(b) - 4*n(b). Calculate the remainder when 37 is divided by o(-6).
18
Let p(m) = -2*m - 2. Suppose -25 = 6*t - t. What is the remainder when 22 is divided by p(t)?
6
Let p = -48 + 105. What is the remainder when 339 is divided by p?
54
Suppose 4*y = -h - 6, 2*h - 5*y - 2 = -6*y. Suppose 0 = 5*d - 7 + 2. Suppose q - 1 = d. Calculate the remainder when h is divided by q.
0
Let u(n) = n**2 + 7*n + 7. Let k be u(-8). Suppose 3*q - k = 21. What is the remainder when q is divided by 5?
2
Let i(t) = -2*t. Let y be i(-3). Suppose 4*x + 31 = 167. Let l = x - y. What is the remainder when l is divided by 10?
8
Let r(x) = x**2 - 7*x + 3. Let z be r(7). Suppose 2*j - 2*u = -z*u + 59, -2*j + 4*u = -44. Calculate the remainder when 55 is divided by j.
27
Let f be ((-4)/(-6))/((-2)/(-45)). Suppose 0 = -y + 5*u + f, -3*y + 5*u + 115 = 2*y. Calculate the remainder when y is divided by 13.
12
Suppose 6*h - 28 = 2*h. Let a(t) = -t**2 - 10*t + 16. Calculate the remainder when a(-9) is divided by h.
4
Suppose 4*n - 11 = -163. Let w = 47 - n. Suppose 5*j - w = -0*j. Calculate the remainder when 50 is divided by j.
16
Let d(q) = q**3 + 13*q**2 - 16*q + 7. Calculate the remainder when 137 is divided by d(-14).
32
Let t(v) = v**2 - v - 16. What is the remainder when 102 is divided by t(7)?
24
Let w(z) = -z + 11. Let c be w(0). Let y = c + -3. Let r = 297 + -282. What is the remainder when r is divided by y?
7
Let v(r) = r + 6. What is the remainder when 54 is divided by v(8)?
12
Let i = -43 + 67. Calculate the remainder when 118 is divided by i.
22
Let k(m) = -m + 2. Calculate the remainder when k(-9) is divided by 4/8*14 + -3.
3
Suppose a + 4*t - 11 = 3, -2*t = 0. What is the remainder when 41 is divided by a?
13
Suppose -9*z + 12 = -5*z. Suppose 60 = z*h + x, 3*h - x = -0*x + 66. What is the remainder when h is divided by 8?
5
Let s(g) = -g + 21. Calculate the remainder when 8 is divided by s(18).
2
Let x(a) = a**3 - 7*a**2 + 6*a - 3. Let b be x(10). What is the remainder when (-1 - 1)*b/(-14) is divided by 1