 3*x + 2*j, -2*j = 4*x - 28. Calculate the remainder when 13 is divided by x.
6
Suppose 3*f + 12 = -f. Let x = 0 + f. What is the remainder when (4/10)/(x/(-45)) is divided by 4?
2
Suppose -5*t + 4 = -11. Let r be (-5 - 8/(-4)) + 5. Suppose -2*a + r*h = -8, 4*a - 13 = 2*a - 3*h. What is the remainder when a is divided by t?
2
Let i be (23 - -2 - -3)*2. Suppose 4*z + i = 6*q - 2*q, 0 = -4*z - 12. Calculate the remainder when 43 is divided by q.
10
Suppose 1 = 3*l - 4*s, 3*l + 2*s - 8 = 5. Let g(z) = 1 + 4*z - 3 + 2*z + 3. What is the remainder when g(1) is divided by l?
1
Suppose 4*q + 0*q - 24 = 0. Let u = -4 + q. Calculate the remainder when u is divided by 1.
0
Let k(c) = -2*c**2 - 2*c + 2. Let a be k(-4). Let w = a + 36. What is the remainder when 53 is divided by w?
11
Suppose 16 = -2*n + 4. Let d(o) = -o**2 - 10*o - 9. Suppose 4*l - 2*p - 124 = 0, 0 = -p - 4. Calculate the remainder when l is divided by d(n).
14
Suppose 4*f = 2*v - 4*v + 52, 0 = -4*v + 5*f + 52. What is the remainder when v is divided by 5?
3
Let t = 83 - 57. Calculate the remainder when 61 is divided by t.
9
Let d(p) = p**3 + 5*p**2 + 2*p + 3. Let n be d(-2). Let h = n + 0. Calculate the remainder when 41 is divided by h.
8
Suppose 3*u - 8 = 1. Suppose 216 - 30 = u*a. Calculate the remainder when a is divided by 21.
20
Let t(g) = -9*g - 11. Let m(o) = -2*o - 2. Let b = 11 + -7. Let n(f) = b*t(f) - 22*m(f). Calculate the remainder when n(5) is divided by 14.
12
Suppose -5*j = -j - 8. Suppose -c + 8 = j. Calculate the remainder when (-2)/8 - 170/(-8) is divided by c.
3
What is the remainder when 10*-5*24/(-16) - 1 is divided by 25?
24
Let x(q) = 141*q**3 + q**2 - q. Calculate the remainder when x(1) is divided by 36.
33
Suppose 0 = -5*s + 49 - 9. Let k = -1 - -4. Suppose k*o - 90 = -5*z + 37, 4*z = -2*o + 100. What is the remainder when z is divided by s?
7
What is the remainder when (2/4)/((-4)/(-56)) is divided by 4?
3
Let h(b) = b + 3. Let g be h(0). Suppose -16 = -y + g*y. Let u = y - -21. What is the remainder when 24 is divided by u?
11
Suppose f - 85 = -4*f. Let l(r) = 5*r - 3. Calculate the remainder when l(7) is divided by f.
15
Let m = -7 + 1. Calculate the remainder when (m + 5)/(2/(-118)) is divided by 20.
19
Let v(r) = 2*r**2 + 2*r + 2*r - 4 + 0 - 5*r**2 + r**3. What is the remainder when -55*1*4/(-10) is divided by v(3)?
6
Suppose 7*q - 10 = 5*q. What is the remainder when q is divided by 4?
1
Let i(k) = -2*k + 3. Let z be i(2). What is the remainder when 20 is divided by 0 - -4 - 3/z?
6
Suppose 0 = -0*m + 4*m - 24. What is the remainder when 69/2*2/3 is divided by m?
5
Suppose -7*o = -5*o + 3*w - 165, -5*w = -2*o + 189. Calculate the remainder when o is divided by 30.
27
Suppose -d - d - 2 = 0. Let j = d - -12. Suppose -861 = 10*l - 31*l. Calculate the remainder when l is divided by j.
8
Let n(d) = d**3 - 8*d**2 + 8*d + 4. Let s be n(6). Let b = 109 - 73. Let w = b + s. What is the remainder when 46 is divided by w?
14
Suppose -3*n = 16 + 11. Let i be n*(4 - 1)/3. Calculate the remainder when 20 is divided by i/(-1) - 2/1.
6
Suppose -4*n - 5*k + 93 = 0, 2*n + 0*n + 5*k = 39. Calculate the remainder when 78 is divided by n.
24
Suppose m + 5*c + 20 = 6*m, 3*m + 2*c - 2 = 0. Suppose -m*v = v - 297. Calculate the remainder when v is divided by 25.
24
Let y(z) = -z**3 + 2*z**2 - 4*z. Calculate the remainder when y(-3) is divided by 12.
9
Let t(d) = -d**2 - 14*d - 2. What is the remainder when 87 is divided by t(-12)?
21
Let a be ((-12)/3)/(-2) + -2. Suppose 3*q + q - 40 = a. Calculate the remainder when 61 is divided by (-3)/(-15) - (-208)/q.
19
Suppose 4*b = -4*k + 28, -3*b - 3*k + 30 = b. What is the remainder when 25 is divided by b?
7
Let m = -6 - -11. Suppose -3*y = 2*y + m*p - 155, p - 58 = -2*y. Suppose y = 4*w - w. What is the remainder when 17 is divided by w?
8
Suppose z = 2*n - 246 + 92, 4*n = z + 308. What is the remainder when n is divided by 20?
17
Suppose -2*b - b = c - 29, 4*b = -3*c + 42. Calculate the remainder when ((-130)/(-15))/(2/b) is divided by 20.
19
Let d = -13 + 31. Let h = d - 4. Calculate the remainder when h is divided by 8.
6
Let r = 91 + -19. What is the remainder when r is divided by 25?
22
Suppose 6*q - 2*q = -4*y - 24, 0 = 3*q + 5*y + 20. Let j = q + 7. What is the remainder when j is divided by -3*(-2)/3 + -1?
0
Let v = 13 + -8. Suppose -4 = v*d - 7*d. What is the remainder when d/(201/(-102) - -2) is divided by 23?
22
Let r(w) = w**3 + 2*w**2 - w + 57. Let a = 1 + 14. What is the remainder when r(0) is divided by a?
12
Suppose -z - 104 = -3*z. What is the remainder when z is divided by 18?
16
Let v = 11 - 8. Let n be 0 + 3/(-9)*0. Suppose v*j - 3*w + 0*w = 150, n = -j - 5*w + 44. Calculate the remainder when j is divided by 17.
15
Let a = 46 - 39. Calculate the remainder when a is divided by 4.
3
Let u = 63 + -58. What is the remainder when u is divided by 2?
1
Suppose 12 + 8 = -5*r. Calculate the remainder when 4/(-10) - (-1474)/110 is divided by (-1)/r - 54/(-8).
6
Let l be (-62 + 0)/(-2) + -1. Suppose 0*q + l = 2*q. Calculate the remainder when 29 is divided by q.
14
Let j(h) = 21*h**2 - 2*h - 6. What is the remainder when j(3) is divided by 36?
33
Let i(f) = -f + 4. Suppose 0 = 2*g - 0*g. Suppose g = 2*s - 4*s + 6. What is the remainder when i(0) is divided by s?
1
Suppose -4*c - 83 = -5*c. What is the remainder when c is divided by 17?
15
What is the remainder when (-2)/(-17) + (-5560)/(-136) is divided by 6?
5
Suppose 0 = -5*x - 5*b + 380, -4*b + 3*b = -2*x + 140. Calculate the remainder when x is divided by ((-5)/(-2))/(6/60).
22
Let o = 111 - 83. Calculate the remainder when 167 is divided by o.
27
Let v = 113 + -34. Calculate the remainder when v is divided by 16.
15
Suppose -5*s + 13 = -4*s. Suppose -2*m - 2*a + 124 = 26, -2*m - 5*a + 95 = 0. What is the remainder when m is divided by s?
11
Let l be 1 - ((-9)/1 + -3). Let k = l + 6. What is the remainder when 54 is divided by k?
16
Suppose 2*n - n = -8. Let f(g) = g**3 + 9*g**2 + 7*g - 8. Let o be f(n). Suppose o = s - 3. Calculate the remainder when 5 is divided by s.
2
Let k = 8 + -2. Suppose 5*v = r + 14, 3*r = 9*v - 7*v + 23. Calculate the remainder when r is divided by k.
5
Suppose -5*w + 3 = -2, 0 = -5*g + 4*w + 41. Calculate the remainder when 15 is divided by g.
6
Let k be ((-3)/6*0)/1. Let w = 6 + k. Calculate the remainder when w is divided by 2.
0
Suppose -50 - 8 = -4*j + 5*r, r = 5*j - 62. What is the remainder when (4/6)/((-1)/(-51)) is divided by j?
10
Let w(v) = 14*v - 20. What is the remainder when w(6) is divided by 17?
13
Let w(y) = 5*y**3 + 2*y**2 + 2*y**2 + y**2 - 4*y**2. Calculate the remainder when (-94)/(-6) + (-2)/(-6) is divided by w(1).
4
Suppose 3*o + w - 55 = 0, -4*o + 8*o - 3*w = 82. What is the remainder when 48 is divided by o?
10
Let z = 18 - 1. Let t = 97 - 47. What is the remainder when t is divided by z?
16
Suppose 4*m - 62 = 2*c, 13 = -3*m + 4*m + 2*c. Let a(h) = -2*h + 14. Calculate the remainder when a(-7) is divided by m.
13
Let x(s) = 7*s + 1. What is the remainder when 29 is divided by x(2)?
14
Let y = 22 + -15. Let p(m) = 2*m**2 - 3*m + 2. Suppose -s = 2*s - 9. Calculate the remainder when p(s) is divided by y.
4
Let x be 4/6 - 130/15. Let n = 28 + x. What is the remainder when 38 is divided by n?
18
Suppose 0 = 4*v - 8*v + 76. Calculate the remainder when 94 is divided by v.
18
Let o(t) = 4*t**2 + t - 3. Let y(s) = s**3 + 4*s**2 - 5*s + 3. Let z be y(-5). Calculate the remainder when o(z) is divided by 13.
10
Suppose 2 - 4 = 2*j - 4*g, -5*j + 3*g + 2 = 0. Calculate the remainder when (-282)/(-15) + j/5 is divided by 7.
5
Let g = 9 + -8. Let o(y) = 12*y**2 - y. What is the remainder when 19 is divided by o(g)?
8
Suppose 19*y = 15*y + 52. What is the remainder when 47 is divided by y?
8
Suppose 0 = -4*k - 20, -59 = 5*w - 2*w + 4*k. Calculate the remainder when 42 is divided by 1 - (3 + 0 + w).
9
Let r = 14 + 75. Calculate the remainder when r is divided by 46.
43
Suppose 4*v + 2*x - 98 = -36, 3*v + 4*x - 34 = 0. Calculate the remainder when (v/(-8))/((-24)/64) is divided by 2.
0
Suppose 0 = 7*o - 12*o + 65. What is the remainder when 37 is divided by o?
11
Suppose 3*i = -3*j + 18, -2*j = -0*j + 3*i - 14. Calculate the rem