
18
Suppose -5*q + 4*x + 0*x = -124, -5*x + 91 = 4*q. Let k = q + -11. Calculate the remainder when k is divided by 4.
1
Let i = 13 + 4. Suppose u - 48 = -0*u. What is the remainder when u is divided by i?
14
Calculate the remainder when (2 - 7/2)*552/(-36) is divided by 8.
7
Suppose 8*m = 3*m + 65. What is the remainder when 37 is divided by m?
11
Let t(q) = -q**2 - 8*q - 9. Let b be 14/(-35) + (-56)/10. What is the remainder when t(b) is divided by 2?
1
Let b = 210 + -87. Suppose -4*o = -b - 61. Calculate the remainder when o is divided by 8.
6
Suppose -171 - 39 = -5*j. Suppose -w + 8 = 3*c, 0*w - 2*w - 3*c = -19. Calculate the remainder when j is divided by w.
9
What is the remainder when 62 is divided by (-6)/9 - (-1)/(-3) - -22?
20
Suppose v = 3*v - 18. Suppose v*f = 12*f - 69. What is the remainder when 66 is divided by f?
20
Let r = 10 - 6. Suppose 0 = 5*c - r*c - 4. Calculate the remainder when c is divided by 2.
0
Suppose 0 = 4*t - 68 - 8. Suppose 2*g + 2*l = -3*l - 5, -2*g + 10 = 2*l. What is the remainder when t is divided by g?
9
Suppose p + 3*p + 3*g = 122, -4*p + 138 = -5*g. Calculate the remainder when p is divided by 7.
4
Let n = -104 + 70. Let f = n + 48. What is the remainder when f is divided by 8?
6
Suppose -h = -4*h + 9. Let d be (-6)/(2*(-2)/(-4)). Let r(l) = -l**2 - 6*l + 2. Calculate the remainder when h is divided by r(d).
1
Suppose -2*j + 1 = -29. Let v be 4/((-5)/(j/(-6))). Let r = v - 1. Calculate the remainder when 1 is divided by r.
0
Suppose 0 = -3*r - 0*r + 57. Calculate the remainder when r is divided by 7.
5
Suppose 2*m + m = 57. What is the remainder when (-56)/(-5)*(1 - -4) is divided by m?
18
Let z(w) = w**2 - 13*w - 11. Let j be 0/(-1*2) + 2. Suppose -5*k + 8 + j = 0. Calculate the remainder when z(14) is divided by k.
1
Let x = -38 + 48. Suppose k - 28 = 1. What is the remainder when k is divided by x?
9
Let v(o) = o**2 + 6*o - 5. Let l be v(-7). Calculate the remainder when 31 is divided by (l/(-6))/((-3)/72).
7
Suppose -q = x + 2*q - 45, 0 = x + 2*q - 49. Calculate the remainder when 282 is divided by x.
54
Suppose 3*j = -119 + 26. Let q = -43 - j. Let a = q + 20. Calculate the remainder when 14 is divided by a.
6
Suppose 5*t + 13 = 6*t. What is the remainder when 25 is divided by t?
12
Suppose -4*g - g + 15 = 0. Suppose 2*j - j = g*q + 32, 5*j = 5*q + 140. What is the remainder when j is divided by 21*(-2 - (-24)/9)?
12
Let t(s) = -10*s + 8. Let p be t(9). Let a = p + 124. What is the remainder when a is divided by 11?
9
Let d(c) = -c**2 + 7*c + 9. Let y be d(7). Let w(z) = 0 - 4*z - 2 - 1 + y*z. Calculate the remainder when 34 is divided by w(3).
10
Suppose p - 3*v - 25 = 0, -3*p + 6*v - v = -55. Calculate the remainder when 68 is divided by p.
8
Suppose 2*w + 3*w - 130 = 0. Suppose 0 = 5*i + 5*h - 90, i - w = -0*i + 3*h. Calculate the remainder when 79 is divided by i.
19
Let x(g) = -g**3 + 6*g**2 - 3*g - 3. Let d be x(6). Calculate the remainder when 27 is divided by (20/(-7))/(6/d).
7
Let j = -63 - -107. Suppose 4*y + j = 192. Let p = -25 + y. Calculate the remainder when p is divided by 7.
5
Let p be (1 + 21/(-9))*6. Let t(f) = f**3 + 8*f**2 - 5*f + 11. What is the remainder when t(p) is divided by 27?
24
Suppose -2*i = i - 120. Suppose 5*z + 4*m = -m - 440, 0 = 2*z - 5*m + 176. Calculate the remainder when i is divided by z/(-6) + (-6)/9.
12
Let m = 8 - 0. Let g(t) = t**3 + 8*t**2 - 2*t - 11. Suppose 0 = r - 0*r + 2*n - 2, 5*n - 25 = 0. What is the remainder when m is divided by g(r)?
3
Suppose -34 = -5*h + 6. What is the remainder when 37 is divided by h?
5
Suppose 0 = 4*o - d - 19, -4*o + 25 = -0*o - 3*d. Suppose -o*h + 1 = -7. Suppose h*c = 3*c - 17. Calculate the remainder when 66 is divided by c.
15
Let w(l) = 2*l**3 - l. Let z be w(1). Suppose q = -2, -3*x + 4*q + 0 = z. Let t = 0 - x. What is the remainder when 5 is divided by t?
2
Let z(j) = 4*j**2 - j. Let o be z(1). Let q = -25 - -27. What is the remainder when ((-76)/(-6))/(q/o) is divided by 11?
8
Let t = 38 + 86. What is the remainder when t is divided by 18?
16
Let a = -13 - -20. Calculate the remainder when a is divided by -2 + (3 + -7)/(-1).
1
Suppose f = 2*g + 53, 3*f = 2*f + 4*g + 53. Let d(u) = -u + 1. Let o be d(-1). Suppose -2*h + 72 = o*h. What is the remainder when f is divided by h?
17
Suppose -7*g - 5*b = -2*g - 60, -5*b = 4*g - 43. Calculate the remainder when g is divided by 9.
8
Let m be 27/(-36) - 50/8. Let y = 23 + m. Calculate the remainder when y is divided by 10.
6
Let l be (-2)/1*(-29)/2. Let j = -7 + l. Calculate the remainder when j is divided by 8.
6
Let s(w) = w**2 - 2*w + 3. Let t be s(2). Let z(n) = 6 - 10*n**2 + 12*n + 7 - n**3 - t*n. What is the remainder when z(-11) is divided by 12?
11
Let v(m) = -m**3 + 6*m**2 - 5*m - 1. Suppose 5*g - 6 - 14 = 0. Calculate the remainder when 32 is divided by v(g).
10
Suppose 2*y = -3*c + 38, -2*y - 42 = -5*c + 3*c. Suppose -4*l + c = -3*l. Suppose 0 = 3*o - 93 + 3. Calculate the remainder when o is divided by l.
14
Suppose -s + 65 = 4*s. Calculate the remainder when 21 is divided by 6/(-18) + s/3.
1
Let v = 280 - 116. Let w = -233 + v. Calculate the remainder when (1/3)/((-1)/w) is divided by 12.
11
Calculate the remainder when 102 is divided by 24 - (0 + -2 + 5).
18
Suppose j - 4*b - 4 = 0, 3*j + 3*b - 63 = -21. Let c = -7 + j. Suppose 54 + 76 = c*s. Calculate the remainder when s is divided by 9.
8
Let k = 89 + -10. Calculate the remainder when k is divided by 27.
25
Suppose 4*s + 86 = 4*f + 6*s, 4*f - 66 = 2*s. Calculate the remainder when 54 is divided by f.
16
Let y be -1 - (-1 - -1) - -3. Suppose r = y*o - r + 14, 5*r = 10. Calculate the remainder when 28 is divided by (o*(0 - 2))/1.
8
Let j(y) = -y**3 + 5*y**2 + 1. Suppose 7*a - 17 = -3. Calculate the remainder when a is divided by j(5).
0
Let j(f) = f**2 + 2*f + 41. Calculate the remainder when j(0) is divided by 11.
8
Let n(u) = u. Let o(i) = -12*i**2 - 2*i + 1. Let z(k) = -n(k) - o(k). What is the remainder when 34 is divided by z(1)?
10
Let g = 53 - 31. Calculate the remainder when g is divided by 8.
6
Suppose -7 - 11 = -2*g. Calculate the remainder when g is divided by 5.
4
Let f be 24/((-6)/3) + 3. Let l = f - -19. Calculate the remainder when l is divided by 4.
2
Let q(v) = -17*v**3 - 3*v - 3. Let o be q(-2). What is the remainder when o/3 + (-2)/(-3) is divided by 16?
15
Let l(d) = d**2 + 46. What is the remainder when l(0) is divided by 28 + (-3 - (-3 - -4))?
22
Suppose -i - 3*s = -0*s - 13, -4*s = -3*i + 39. Calculate the remainder when i is divided by 4.
1
Let h = -9 - -41. Suppose -4*j = -j + 4*v - 10, -4*j = -4*v - h. What is the remainder when 15 is divided by j?
3
Let p = -4 + 6. Let t be ((-24)/(-20))/(p/5). Suppose 4*l - l + 59 = 5*v, -t*v + 41 = l. What is the remainder when v is divided by 7?
6
What is the remainder when 17 is divided by (-2)/(-8) - 195/(-20)?
7
Suppose 4*s - 25 = -9. What is the remainder when (42/(-9))/(s/(-30)) is divided by 18?
17
Let h(i) be the first derivative of 3*i**3/2 - 3*i**2/2 - i + 4. Let u(l) be the first derivative of h(l). Calculate the remainder when u(4) is divided by 9.
6
Let h = 19 - -40. Calculate the remainder when h is divided by 15.
14
Let w(t) be the third derivative of t**6/60 + t**5/30 - t**4/12 + t**3/3 - t**2. Let m(j) = 6*j. Calculate the remainder when w(2) is divided by m(2).
10
Suppose -2*l + 3*l + 7 = 3*h, 13 = 3*h + 2*l. Suppose -h*q + 10 = -17. What is the remainder when q is divided by 6?
3
Let u(k) = -k**2 - 6*k + 2. Let x be u(-6). Suppose x*f - f - 15 = 0. Calculate the remainder when (-4)/16 + (-354)/(-8) is divided by f.
14
Let u(t) = 9*t**3 - t**2 + 4*t - 3. Calculate the remainder when 41 is divided by u(1).
5
Let l = -161 + 374. Suppose 5*k = 17 + l. Suppose 0 = 2*i + 2*i - 64. What is the remainder when k is divided by i?
14
Let g = 251 + -170. Let x = 21 + g. Let f = 156 - x. Calculate the remainder when f is divided by 14.
12
Let d(y) = -2*y - 3. Suppose -5*q = c + 55, q = 4*q + 3. Let l = -7 - c. Calculate the remainder when l is divided by d(-9).
13
Suppose 60 = -11*l + 13*l. What is the remainder when 118 is divided by l?
28
Let r(p) = -2*p - 40. Suppose 8 = 4*q - 4*d, 2*q + 2 = 4*q - 3*d. Let a(c) = 2*c**2 - 6*c + 5. Wh