et u = q + -49. What is the remainder when u is divided by 16?
13
Let a(s) = -s**3 - 6*s**2 + 10*s - 13. What is the remainder when a(-8) is divided by 19?
16
Suppose 5*p - 9 = -3*f, -f - 9 = -p - 4*f. Suppose 3*t - 26 = 4*h, 0*h = -5*t + 3*h + 47. What is the remainder when p - 2 - (0 + -21) is divided by t?
9
Let c(t) = 2*t**2 + 7. Suppose -5*f + 0 = -75. Calculate the remainder when c(-5) is divided by f.
12
Let q(h) = -h**3 - 3*h**2 - 2. Calculate the remainder when 40 is divided by q(-4).
12
Let n be 3 - (0 + 3) - -3. Suppose f - 36 = -3*m, m + n*m - 125 = -5*f. What is the remainder when 60 is divided by f?
18
Let u = 19 + -8. Let o be 8/28 + 52/14. Suppose 3*p - 69 = 3*j, -p = -o*j - 1 - 28. Calculate the remainder when p is divided by u.
10
What is the remainder when 42 is divided by ((-8)/(-28) - (-82)/7) + 3?
12
Suppose 4*o + 28 = 11*o. Let v(s) = s**3 - 3*s**2 + 3. Calculate the remainder when 75 is divided by v(o).
18
Let u(t) = t**3 - 5*t**2 + 4*t + 1. Calculate the remainder when u(7) is divided by 26.
23
Suppose -3*t - 15 = 0, 2*p - p = -3*t - 13. Let x = 3 - p. Calculate the remainder when 1 is divided by x.
0
Let g = 99 + -56. Calculate the remainder when 3/6 - g/(-2) is divided by (18 + -2)/(-3 - -5).
6
Let w = -124 - -129. Let k(i) be the second derivative of i**3/3 - i**2 - i. Calculate the remainder when w is divided by k(2).
1
Let f = -9 + 9. Let w(c) = -c**3 - c + 6. Let b be w(f). Let h = 1 + b. What is the remainder when 13 is divided by h?
6
Let v(f) = 5*f**2 - 2*f + 4. Let d be v(4). Suppose -d = -z - z. What is the remainder when z is divided by (0 - -1) + 13 + -1?
12
Let h(t) = t + 1. Let v be h(1). Calculate the remainder when 45 is divided by (-118)/(-10) + v/10.
9
Suppose 0 = 3*n - 5*f - 110, 2*f = -6*n + 5*n + 33. Calculate the remainder when n is divided by 18.
17
Let g(f) = -2*f + 13. Let a be g(-8). Suppose 7*w - 113 = -a. What is the remainder when 33 is divided by w?
9
Suppose 5*i - 4*t - 21 = -5, 5*i + 4*t + 16 = 0. Let b(p) = -3*p - p + p**2 + 3*p - 2 + i. What is the remainder when 19 is divided by b(-3)?
9
Let t = 11 - 4. Let m(v) = -35*v**3 + 2*v**2 + 2*v + 1. Let k be m(-1). What is the remainder when (k/14)/(3/14) is divided by t?
5
Let z = 8 + -38. Suppose 0 = -3*w + w + 70. What is the remainder when w is divided by (8/(-10))/(2/z)?
11
Let x(a) = -a**2 - 17*a - 15. Suppose -30 = -s + 3*s. What is the remainder when 43 is divided by x(s)?
13
Calculate the remainder when 10 + -9 + 86*2 is divided by 35.
33
Suppose 0 = 2*z - 1 + 7. Let p = z + -1. Let m = p + 9. What is the remainder when 7 is divided by m?
2
Let d = -1 - -3. Suppose -4*k = -d*k - 4. Suppose k*u + 2*u - 24 = 0. What is the remainder when u is divided by 4?
2
Suppose -5*d + 106 = -4*d. What is the remainder when 43 is divided by 2/5 - d/(-10)?
10
Suppose -2*a + 12 = a. Suppose -148 = -a*o + 48. What is the remainder when o is divided by 17?
15
Let h(j) = -3*j - 15. What is the remainder when h(-6) is divided by (-1 - 0)/(2 - 3)?
0
Suppose -t = -2*t - 43. Let s = 60 + t. What is the remainder when 31 is divided by s?
14
Suppose -4*a - 4*j = 48, 3*j - 96 = 5*a - j. Let t = 4 - a. Calculate the remainder when t is divided by 11.
9
Let x(t) = -2*t**2 + 13*t + 2. Calculate the remainder when 65 is divided by x(5).
14
Let j(p) = -17*p - 1. Let v(n) be the first derivative of -9*n**2/2 - 3. What is the remainder when j(-1) is divided by v(-1)?
7
Suppose 0 = 5*z - 39 + 4. Let f(m) = 3*m - 2 - 3*m + 9*m**2 - z*m**2. Calculate the remainder when f(-6) is divided by 24.
22
Suppose 7*u + 24 = 11*u. What is the remainder when ((-57)/(-6))/(3/u) is divided by 5?
4
Let k = -4 + 9. Suppose k*d = 255 + 20. Suppose 5*b = -3*m + d, b = -m + 8 + 11. Calculate the remainder when m is divided by 11.
9
Let s = -44 - -87. What is the remainder when s is divided by 11?
10
Suppose -3*a + 79 = k, -62 = -2*a + 5*k - k. What is the remainder when a is divided by 3?
0
Let p = 16 - 11. Let d = 106 - 62. Let i = d + -30. What is the remainder when i is divided by p?
4
Suppose 5*q + 108 = 9*q. Calculate the remainder when q is divided by 11.
5
Suppose 2*u - 5*v + 10 = 0, -2*u + 4*v = 8 - 0. Suppose u = w + 8 - 57. Calculate the remainder when w is divided by 13.
10
Let d = -2 - -10. Let w = -2 + 2. Let s = w + d. What is the remainder when s is divided by 5?
3
Let s(w) = -w**3 - 6*w**2 - 7*w - 7. Suppose 2 - 38 = -3*v. Calculate the remainder when s(-6) is divided by (-90)/(-4)*v/15.
17
Let n be 4/2*(-15)/(-6). Suppose 5*w - n*y = 105, 0*y + 3*y - 57 = -2*w. Let s = 9 + 4. What is the remainder when w is divided by s?
11
Suppose 4*h - 194 = 3*x, -4*h - 5*x = -0*h - 178. Let j be 2/(5/3 - 1). Suppose j*m - 24 = m. What is the remainder when h is divided by m?
11
Let o(x) = -8*x - 1. Let i be o(-2). What is the remainder when (-3)/(-2)*2 + 53 is divided by 6/i - (-186)/10?
18
Suppose -2*d = 2*d - 328. What is the remainder when d is divided by 63/(-6)*8/(-3)?
26
Let w(f) = -f**2 + f + 11. What is the remainder when ((-18)/30)/((-424)/140 + 3) is divided by w(0)?
10
Suppose -79 = -5*t - 2*v - 23, -3*t = -3*v - 42. Suppose 5*i - 46 = -6*d + 3*d, -5*d + 102 = 2*i. Calculate the remainder when d is divided by t.
10
Suppose -z - 110 = -6*z. Let n = 3 + z. What is the remainder when 72 is divided by n?
22
Let n = -19 + 28. What is the remainder when 16 is divided by n?
7
Let y = 49 + -36. What is the remainder when 51 is divided by y?
12
Let k(t) = -2*t**2 + 18*t + 12. Calculate the remainder when 20 is divided by k(9).
8
Suppose 9*a - 135 = 4*a. What is the remainder when a is divided by 6?
3
Suppose 0 = -4*x + 12 - 4. Suppose 4*b + 14 = -x*m, -3*m = -2*m + 1. What is the remainder when (-3*b/(-3))/(-1) is divided by 2?
1
Let t be (4/6)/(2/(-3)). Let p be t*(0 - 1)*6. Let b = 11 - p. Calculate the remainder when b is divided by 3.
2
Let z = 16 + -6. Suppose w - z = -w. Calculate the remainder when (3 - 30/9)*-54 is divided by w.
3
Let n = 3 + 80. Calculate the remainder when n is divided by 14.
13
Let j(t) = t**3 - 3*t**2 + 7*t + 2. Calculate the remainder when j(5) is divided by 22.
21
Let z = 8 + -4. Suppose -5*o - 2*t = -55, 26 = 3*o - t + z. Suppose 14*q = 29 + 13. What is the remainder when o is divided by q?
0
Suppose 2*i = 8, 250 = -5*k - 3*i + 977. What is the remainder when k is divided by 24?
23
Suppose -2*m + 102 = 2*n, 6*n - 257 = -5*m + 2*n. Calculate the remainder when m is divided by 14.
11
Let t(z) = -z**3 - 6*z**2 - 5*z - 8. Let v be t(-7). Suppose -4*f = -8*f + v. What is the remainder when 55 is divided by f?
17
Suppose -4*z = -m - 2*m, m = -5*z + 19. Suppose 0 = 2*d - 0*d + m. Calculate the remainder when 29 is divided by (-5)/(-1 - 1/d).
9
Suppose r - 4*y = -6, 3*y = 6*y - 12. What is the remainder when r is divided by 2?
0
Let a = 24 - -17. What is the remainder when 119 is divided by a?
37
Suppose 8*h - 49 - 175 = 0. Let z = 3 + 25. Suppose -2*d + 28 = -4*r, -5*r = -3*d + z + 12. What is the remainder when h is divided by d?
8
Calculate the remainder when (12 + -15)/(58/61 - 1) is divided by 33.
28
What is the remainder when 17 is divided by (-7)/((-21)/9) + 7?
7
Let b = -20 - -38. Suppose -4*h = 3*s - 24, b = 2*h + h + 2*s. Let l(v) = -v - 3. What is the remainder when h is divided by l(-7)?
2
Suppose -3*z + 42 = -2*q + 4, 0 = -z - 5*q - 10. What is the remainder when (-3)/(6/z*-1) is divided by 3?
2
Let i = 180 + -79. What is the remainder when i is divided by 34?
33
Suppose 0 = 4*i + 8 + 48. What is the remainder when (-1138)/i - (-2)/(-7) is divided by 21?
18
Let r(p) = p**3 - 12*p**2 - 11*p - 16. Calculate the remainder when 46 is divided by r(13).
6
Let b(y) = -y**2 + 11*y - 6. Let z be b(10). Suppose -z*m = 2*m - 216. What is the remainder when 69 is divided by m?
33
Let b = 4 + 8. Calculate the remainder when 59 is divided by b.
11
Suppose 0 = -2*l + 6. What is the remainder when -1*(-106)/(5 - l) is divided by 18?
17
Let i(c) = -8 + 1 + 7 + c**3. Calculate the remainder when 15 is divided by i(2).
7
What is the remainder when (-190)/(-6) + (-24)/36 is divided by (-34)/(-4)*2 + 0?
14
Let l(b) = b**3 + 11*b**2 - 12*b + 2. Let i be l(-12). Suppose -p + 12 = m - i*p, -2*p + 20 = 2*m. Calculate the remainder when 20 is divided by m.
9
Let f(j