u = -21*u + 28. Suppose -3*v + 6 + 3 = 0. What is the remainder when u is divided by v?
1
Suppose 15 = -5*x, -5*v = 3*x - 24 - 12. Calculate the remainder when v is divided by (-5)/(-2)*(2 + 0).
4
Let d(o) = o**2 + 7*o. Let y(n) = n**2 + 8*n. Let h(s) = 7*d(s) - 6*y(s). Let r be h(2). Calculate the remainder when ((-51)/r)/((-2)/4) is divided by 5.
2
Let v be -2 + 5/((-15)/(-24)). Suppose 0 = -3*h + v*h - 63. Let r = -12 + h. Calculate the remainder when 25 is divided by r.
7
Suppose 0 = 5*f - 4*f - 5. Let t(n) = -n**3 + 5*n**2 + 5. What is the remainder when 9 is divided by t(f)?
4
Suppose 3*q = -q + h + 61, -4*q + 4*h = -52. Let t = -25 - -27. Let s(b) = 3*b**3 + 4*b**2 - 6*b + 2. Calculate the remainder when s(t) is divided by q.
14
Let w(x) = x. Let r be w(2). Suppose -4*n + 90 = r*b, 5*n + 3*b + 5 = 118. Calculate the remainder when 64 is divided by n.
20
Let b(n) = 4*n + 2. Let g be b(-2). Let p be (-4)/8 - 63/g. Suppose 325 = -0*o + 5*o + 4*i, 0 = 2*i + p. What is the remainder when o is divided by 18?
15
Suppose 4*v + 3*l - 61 = 3*v, 0 = -v + 2*l + 86. What is the remainder when v is divided by 13?
11
Let c be -14*(2 + (-10)/4). Suppose 70 = -2*g + c*g. Let v(r) = 6*r + 2. What is the remainder when v(4) is divided by g?
12
Let f(c) = 2*c**2 + 2*c + 1. Let j be f(-2). Suppose j*r - 5*d = r + 47, 0 = -3*d + 15. Suppose 3*a - r + 6 = 0. Calculate the remainder when a is divided by 3.
1
Let r(m) = m**3 - 6*m**2 - 5*m + 15. Calculate the remainder when r(7) is divided by 11.
7
Suppose -4*m = 5*g - 536, 8 = -5*g + 28. What is the remainder when m is divided by 33?
30
Suppose -r - 4*c = -30, -2*r - 2*c = 21 - 105. Calculate the remainder when r is divided by 10.
6
Let m be 4/(-14) - 23/(-7). Suppose m*j - 68 = -17. Let v(i) = -2*i - 8. What is the remainder when j is divided by v(-7)?
5
Suppose 0 = 5*v + 29 - 104. What is the remainder when v is divided by 7?
1
Let n(r) = -r**3 + 5*r**2 + 8*r - 5. Calculate the remainder when n(5) is divided by 9.
8
Let n = 50 - 13. What is the remainder when 71 is divided by n?
34
Suppose -2*y = 2*b - 2, 1 = -2*b + 5*y + 24. What is the remainder when 50 is divided by b?
2
Suppose -2*l + 70 = 3*l. Let f = -1 + l. What is the remainder when 24 is divided by f?
11
Let a(b) = -b - 5. Let w be a(-9). Suppose -3*f + w*f - 5 = 0. Suppose 5*r - 4*x = 62, f*x = -0*r + r - 4. Calculate the remainder when 26 is divided by r.
12
Let b = -6 + 11. Calculate the remainder when 19 is divided by b.
4
Let r(s) be the second derivative of s**4/12 - 2*s**3/3 + 3*s**2 + 2*s. Calculate the remainder when (-3)/3 + -1 - -22 is divided by r(5).
9
What is the remainder when 1 - 8/(8/(-15)) is divided by 9?
7
Suppose 48 = 2*p + 6*p. What is the remainder when 16 is divided by p?
4
Suppose -f + 6 = -52. What is the remainder when f is divided by 12?
10
Let t be 1/1 + -3 + 7. Suppose 155 = 5*i - 0*i + t*z, -z - 65 = -2*i. Suppose 2*r - i = -0*r. What is the remainder when 61 is divided by r?
13
Suppose 2*u - 2 = -8. Calculate the remainder when -2 + u/(12/(-40)) is divided by 5.
3
Let b(d) = -d**3 - 7*d**2 + 2*d - 15. Suppose 4*w = 5*g + 510, 5*w + 4*g - 629 - 29 = 0. What is the remainder when w is divided by b(-8)?
31
Suppose -5*w = -0 - 15. Suppose -4*p + 57 = 3*k - 114, 0 = -w*p. Calculate the remainder when k is divided by 15.
12
Suppose 2*q + 15 = -3*q, -5*q = -3*i + 144. What is the remainder when i is divided by 3/(-3 - (-48)/15)?
13
Let r(w) = w**2 + 8*w - 4. Let h be r(-9). Suppose v + v + h*k = 23, 5*v - 3*k - 42 = 0. What is the remainder when v is divided by (-2)/6 - (-16)/3?
4
Suppose -3*r + 25 = j, -4*j + 48 = -0*r - r. Let k = j + -6. Calculate the remainder when 27 is divided by k.
6
Let c = -41 + 61. Suppose 5*h - 15 = 0, -q + h = 2*h - c. Suppose -3*v = -2*v - q. Calculate the remainder when v is divided by 6.
5
Suppose 3*t - t + 10 = 0, -4*t - 35 = -5*y. What is the remainder when (-4)/24 + 50/12 is divided by y?
1
What is the remainder when (-2)/((-45)/(-48) + -1) is divided by -2 + 4/(8/26)?
10
Suppose -j = -h - 15, 0 = -3*j + 5*h + 32 + 7. What is the remainder when 71 is divided by j?
17
Suppose -4*p + 4 = -4. Suppose p*c + 4 = 3*c. What is the remainder when 7 is divided by c?
3
Let t(z) = -z**2 - 19*z - 1. Calculate the remainder when t(-11) is divided by 22.
21
Let g(k) = 4*k + 12. Suppose 0 = 4*d - 3*d - 2. Suppose 5 = d*r - 9. Calculate the remainder when g(0) is divided by r.
5
Let b be 1 + (-3)/(-1) + -2. Suppose -b = t + 5*d, 4*d = -t + d. Calculate the remainder when 11 is divided by ((-4)/t)/((-2)/9).
5
Let q(i) = -i**2 - 3*i + 3. Let n be q(-6). Calculate the remainder when 41/4 - 5/20 is divided by n/(-3) + (-1)/(-1).
4
Let h = -14 - -12. Calculate the remainder when 17 is divided by h/(-10) - (-96)/20.
2
Let x = -220 + 369. What is the remainder when x is divided by 38?
35
Let m = -8 + 5. What is the remainder when 41 is divided by (0 - m)*98/21?
13
Let z = 22 + -36. Let y = 31 + z. Let h(v) = v**3 - 8*v**2 + 5*v + 9. Calculate the remainder when h(8) is divided by y.
15
Suppose 4*l - 19 = 33. What is the remainder when 72 is divided by l?
7
Suppose -5*l = 26 + 4. Let p(o) = -o**2 - o - 6. Let r be p(l). Let m = r - -50. Calculate the remainder when m is divided by 5.
4
Let p be 3/(-5) + 23/5. Suppose -v = v - p. Calculate the remainder when 3 is divided by v.
1
Suppose -7*z + 6*z = -1. Calculate the remainder when 20/(-6)*(-11 - z) is divided by 14.
12
Suppose -2*s = -65 + 19. Calculate the remainder when 66 is divided by s.
20
Let y = 61 - 25. Suppose -2*a + 5*v = -y, -4*a + 2*a + v + 36 = 0. What is the remainder when 35 is divided by a?
17
Let c be ((-8)/(-6))/(2/3). Suppose -4*y = -l - 9, 0 = -2*y - 0*l - 4*l. Calculate the remainder when 6/(-1)*c/(-4) is divided by y.
1
Suppose 6 + 8 = s. Calculate the remainder when 40 is divided by s.
12
Suppose j - k - 9 - 34 = 0, -5*j + 227 = -2*k. Calculate the remainder when j is divided by 12.
11
Suppose 5*l + 5*m = 135, -6*l - 5*m + 43 = -5*l. Calculate the remainder when 66 is divided by l.
20
Let o = -9 + 17. Suppose 2*s = -0*s - 4*c + 18, -s - c = -7. What is the remainder when o is divided by s?
3
Let i(o) = o**2 - 8*o - 3. Let w be i(6). Let j = -33 - -23. Calculate the remainder when 25 is divided by 12/j*w/2.
7
Let s = 8 - 5. Let j = s - -2. Let x(g) = 4*g**2 - 2*g + 1. What is the remainder when x(2) is divided by j?
3
What is the remainder when 23 is divided by (-3 - -2)*-5 + 3?
7
Let g = 151 + -88. Calculate the remainder when g is divided by 16.
15
Let t = 13 + -13. Suppose 5*o + 20 = t, n = 5*o - o + 40. Calculate the remainder when 93 is divided by n.
21
Suppose -4*p - 66 = -2*a, -200 = -4*a - p - 59. Calculate the remainder when a is divided by 13.
9
Suppose -5*x + 32 = -43. Calculate the remainder when x is divided by 9.
6
Let s(m) = -13*m**3 - m**2 + 1. Suppose -4*q = -q - 6. Suppose -3*w = -q*v + 2, 4*v - 31 + 11 = 2*w. What is the remainder when s(-1) is divided by v?
6
Let b(u) = -u**3 + u**2 + 2*u + 3. Suppose w = 3*w + 4. What is the remainder when 31 is divided by b(w)?
9
Let x(j) be the second derivative of -j**3/3 - 2*j**2 - 4*j. What is the remainder when 14 is divided by x(-4)?
2
Suppose 4*j - t - 188 = 0, 0 = 3*j - 2*t - t - 150. What is the remainder when j is divided by 12?
10
Let x = 36 + -21. Let j(a) = 23*a + 4. Calculate the remainder when j(1) is divided by x.
12
Suppose -3*g = -11 - 4. Suppose 2*v - 6*s - 29 = -g*s, 36 = 3*v + s. What is the remainder when 37 is divided by v?
11
Suppose 3*l - 8 - 1 = 0. Suppose x = 4*r - 23, 0*r + 2*x + 16 = l*r. Calculate the remainder when 9 is divided by r.
3
Let z(y) = -y**2 + 1. Let s be z(-1). What is the remainder when (1 + s)/((-4)/(-52)) is divided by 7?
6
Suppose 0 = -5*m - 3 - 57. Let i(o) = -o**2 - 13*o - 3. What is the remainder when 35 is divided by i(m)?
8
Let x(l) = 2*l**2 + 12*l + 1. Calculate the remainder when x(-9) is divided by 14.
13
Let n = -27 - -45. Suppose v - 3 - n = 0. Calculate the remainder when 62 is divided by v.
20
Calculate the remainder when 8/12*(-138)/(-4) is divided by 6.
5
Let w(c) = c + 7. Suppose 5*k = -15, 0*g - 3*g + 3*k = -39. Calculate the remainder when w(10) is divided by g.
7
Let h(j) = 7*j - 17. Let m be h(8). Suppose -5*k - 4*f +