2*q**3 - 1. What is the remainder when j(4) is divided by i?
22
Let t be (-1)/(-2 + (-132)/(-68)). Suppose 3*u = 2*x + t, -4*u = -2*u - 2*x - 8. What is the remainder when 33 is divided by u?
6
Suppose -3*p + 87 = 3*v, 4*p + 3*v - 8*v = 80. Calculate the remainder when 147 is divided by p.
22
Suppose 24 + 36 = 3*k. Suppose 2*f + 2*f = k. Calculate the remainder when (81/(-36))/((-2)/16) is divided by f.
3
Suppose 3*x + 5*u - 7 = 0, -u - 5 = x - 3*u. Let g = 13 + x. Calculate the remainder when 33 is divided by g.
9
Let x be 30/(-12)*(-12)/5. Suppose 0 = -2*d - 0*d + x. Calculate the remainder when 21/4 - 2/8 is divided by d.
2
Suppose 4*b - 80 = b + 5*h, 0 = -3*b - 2*h + 115. Let p = b - 25. Calculate the remainder when 18 is divided by p.
8
Suppose 5*v - 405 = -0*v. Suppose 4*s - v = s. Let c = s + -13. What is the remainder when c is divided by 5?
4
Let h be 13/1 - (3 - 2). Let x(o) = o**3 + o**2 + o + 25. Calculate the remainder when x(0) is divided by (6/(-8))/((-1)/h).
7
Suppose 5*h - 2*o = 78, h - 2*o = -6*o - 2. What is the remainder when 25 is divided by h?
11
Let g(x) = 2*x**3 - 3*x**2 + 2*x. Let d be g(2). Suppose 5 = -m + d. What is the remainder when 6 is divided by m?
0
Let l(g) = g**2 + 5*g + 1. What is the remainder when l(-5) is divided by 1?
0
Let d = 32 - -22. Calculate the remainder when d is divided by 11.
10
Let k(i) = 1. Let s(p) = -p**3 + 6*p**2 - 5*p. Let l(v) = 6*k(v) - s(v). Calculate the remainder when l(5) is divided by 3.
0
Let n(b) = 23*b**2 - b + 1. Calculate the remainder when n(1) is divided by (3 + -2)/((-3)/(-39)).
10
Let f = -2 + 6. Calculate the remainder when 10 is divided by f.
2
Let n = 67 - 20. Let j = -25 + n. Suppose 16 = 2*p - 0*p. Calculate the remainder when j is divided by p.
6
Let q(d) = -5*d + 20. Calculate the remainder when q(3) is divided by 4.
1
Suppose -3*m - 12 = 5*g, -2*g = 5*m - 7*g + 20. Let o = 5 - m. Let z = 3 - -2. What is the remainder when o is divided by z?
4
Calculate the remainder when ((-29)/2)/((-6)/12) is divided by 15.
14
Let c = 128 - 73. Let m(o) = o + 11. Let h = 27 + -19. Calculate the remainder when c is divided by m(h).
17
Suppose 5*r - 89 - 66 = 0. Suppose -r = -3*z + 47. Calculate the remainder when z is divided by 14.
12
Let k(n) = -2*n + 0*n + 5 - 1. Let l be k(-8). Let m = l - 9. Calculate the remainder when 20 is divided by m.
9
Suppose 22 = -3*n + 4*t, 30 = -4*n + 5*t + 2. Let w be 3/((-2)/((-4)/(-2))). Calculate the remainder when (1 + n)*57/w is divided by 7.
5
Suppose m + 55 = 3*i - 130, -4*i + 252 = 4*m. What is the remainder when 120 is divided by i?
58
Let r = 7 + -6. Calculate the remainder when 3 is divided by r.
0
Let i = 4 - 0. Suppose 0 = -i*a + 182 + 146. What is the remainder when a is divided by 21?
19
Let y = 12 - 14. Let k = y + 55. Calculate the remainder when k is divided by 18.
17
Let d(r) = r**3 - 6*r**2 + r - 10. Let p be d(7). Suppose -4*k = -82 - p. Let i = k - 19. What is the remainder when 24 is divided by i?
11
Let w(x) = -3*x + 6. Suppose -4*o - 18 = -46. Suppose 5*b - o*r = -3*r + 71, 4*r - 39 = -5*b. Calculate the remainder when w(-5) is divided by b.
10
Let a = -3 + -2. Let s(m) = m**2 + 3*m - 1. Calculate the remainder when 35 is divided by s(a).
8
Let t(z) = -z**3 - 3*z**2 + 2*z - 5. Let v be t(-4). Let n be (-9)/(-2 - 1) + -4. Calculate the remainder when 18 is divided by n + (-24)/(-3) + v.
8
Suppose 0 = j - 4*h - 7, 4*j - 5*h + 0 = 28. Let r be 6/(-4)*(-16)/6. Suppose 19 = -3*v + r*v. Calculate the remainder when v is divided by j.
5
Let o = -122 + 124. What is the remainder when 12 is divided by o?
0
Suppose -3*u = h + 2, -4*h = -6*h + 5*u + 7. Let y(n) = 5*n**3 - 2*n + 2. Suppose -2*a - 2*a + 52 = 0. Calculate the remainder when a is divided by y(h).
3
Suppose -5*h = 5*a + 15 + 35, -h = 4*a + 28. Let i be (-3)/((-9)/a) + 4. What is the remainder when 5 is divided by -2 + 1 - (-8)/i?
2
Let d(n) = 2*n**3 - n**2 - 2*n + 3. Let j be d(2). Suppose 0 = 3*v + 5*c - 29, 0*v + v + c = j. Calculate the remainder when 37 is divided by v.
11
Let o(v) = 29*v**2 - 4*v - 4. Calculate the remainder when 57 is divided by o(-1).
28
Suppose -8*q + 234 = -5*q. What is the remainder when q is divided by 27?
24
Suppose -2*u = 3*r + 16, -2*u + 2*r = 44 - 8. Suppose 4*m - 227 + 61 = -c, -134 = -3*m + 4*c. Calculate the remainder when (-346)/u - (-12)/m is divided by 9.
7
Let z(d) = -d**3 - 2*d**2 - d + 5. What is the remainder when z(-5) is divided by 22?
19
Let k = 244 - -54. What is the remainder when k is divided by 23?
22
Let h(d) = d**2 - 7*d - 1. Let q be h(7). Let w = q + -3. What is the remainder when 4/8 + (-126)/w is divided by 11?
10
Suppose 0 = -2*y + z + 12, -2*y + z - 12 = -3*y. Calculate the remainder when 22 is divided by y.
6
Let c(j) = -j + 1. What is the remainder when 22 is divided by c(-7)?
6
Suppose 54 + 30 = 2*m. Calculate the remainder when 124 is divided by m.
40
Let k(q) = q - 14. Let d(r) = 5. Let j(n) = -7*d(n) - 2*k(n). Let v be j(-5). What is the remainder when (2/(-6))/(v/(-153)) is divided by 9?
8
Suppose -n = -3*d - 0*d + 8, 0 = 5*n - 2*d - 12. What is the remainder when 4 is divided by n?
0
Let j = -268 - -394. What is the remainder when j is divided by 33?
27
Let j(o) = -8*o + 46. What is the remainder when j(0) is divided by 19?
8
Suppose 3*y = -0*s + s + 96, 143 = 5*y + 4*s. Let i(t) = t**2 + t + 2. Let m be i(0). Suppose -26 = -m*j - 4. What is the remainder when y is divided by j?
9
What is the remainder when (-4)/8 + (-429)/(-6) is divided by 18?
17
Let o(n) = -8*n + 6. Let l(k) = 9*k - 6. Let v(z) = 5*l(z) + 4*o(z). Calculate the remainder when v(4) is divided by 12.
10
Let z = -90 - -106. What is the remainder when z is divided by (-44)/(-7) + (-2)/7?
4
Let b = -25 + 54. Suppose -5*m + 2 = -4*o + 17, 4*o + 5*m = 65. What is the remainder when b is divided by o?
9
Let f(x) be the first derivative of x**3/3 + x**2/2 - 4*x + 1. Let p be f(4). Suppose 2*q = 4*q - p. What is the remainder when 14 is divided by q?
6
Let o = -4 - 0. Let t = 21 + o. Let a = 34 - t. What is the remainder when 50 is divided by a?
16
Suppose 4*o = 6*o + 216. Let x = -30 + 52. What is the remainder when x is divided by o/(-14) + (-26)/(-91)?
6
Calculate the remainder when (-48)/((63/(-12))/7) is divided by (-176)/(-16)*1*2.
20
Suppose 0 = 2*d - 6*d + 112. What is the remainder when d is divided by 3/(32/10 - 3)?
13
Suppose -3*r - 16 = -2*i - 4*r, 0 = 4*i + 5*r - 44. Let m(y) = -y + 1. Calculate the remainder when i is divided by m(-2).
0
Let o(f) = -f**2 + 6*f - 6. Let p be o(4). Suppose -79 = -p*x + 29. Calculate the remainder when x is divided by 14.
12
Let r(s) = -s**3 - 3*s**2 + 3*s + 6. What is the remainder when r(-5) is divided by 14?
13
Let r(i) = -7*i + 3*i**2 - 6*i**2 + 2 + 9*i**3 - 8*i**3. Calculate the remainder when 49 is divided by r(5).
15
Suppose -3*o + 61 = 7*a - 3*a, 4*o - 12 = 0. Let g(s) = 9*s + 6*s**2 + s**2 - 6*s**2 + 2. Calculate the remainder when g(-12) is divided by a.
12
Suppose -6*r + 120 = -r. What is the remainder when r is divided by 9?
6
Suppose -20 = -4*v - 0*v. Suppose 5*b = -3*k + 83, -k - 4*k + v = 0. What is the remainder when 46 is divided by b?
14
Let j(i) = -i**2 - 10*i + 15. Let b be j(-11). Suppose -5 = -b*z - z. Calculate the remainder when z is divided by 1.
0
Let m be (-79)/(-1) + -1 + -3. Suppose 5*b + m = 5*n, n - 3*b - 19 = -0*n. What is the remainder when n is divided by 7?
6
Let w be 1/(-6) + (-1010)/(-12). Suppose -5*b + w = -2*b. What is the remainder when b is divided by 15?
13
Let a(s) = 0 + 10*s + 4*s**3 - 5*s**3 + 6*s**2 - 4. Calculate the remainder when a(7) is divided by 9.
8
Suppose -2*h + 62 = -4*w, -3*h = 3*w + 54 - 165. Let y = h - -8. What is the remainder when y is divided by 15?
13
Let w(s) be the first derivative of -3*s**2/2 + 3*s - 1. What is the remainder when (-4 - -3)*5/(20/(-88)) is divided by w(-3)?
10
Suppose 0 = -p + g + 198, -210 = -p - 0*p + 5*g. Suppose -3*i + p = -0*i. What is the remainder when i is divided by 22?
21
Let d = -5 + 19. Calculate the remainder when 53 is divided by d.
11
Let w be (23 + -2)/(-2 - -1). Let r = 37 + w. What is the remainder when r is divided by 6?
4
Let a(q) = 0*q**2 + 2*q - q + q**2 - 3. Calculate the remainder when 17 is di