
Let p(b) = -9*b + 4. Let d be p(-8). Let j = -106 + d. Let y = j + 42. Calculate the remainder when 34 is divided by y.
10
Let k = -217 - -328. Let x = -57 + k. What is the remainder when x is divided by 19?
16
Let y = 8 - 8. Suppose 5*u - 3*s - 4 - 28 = 0, -5*u - 2*s + 12 = y. Calculate the remainder when 4 is divided by u.
0
Let g(i) = -i**3 + 10*i**2 + 2*i - 2. What is the remainder when 33 is divided by g(10)?
15
Let l(u) = -u**3 - 7*u**2 - u - 2. Let d be l(-7). Suppose -57 - 83 = -d*t. Let j = t + -15. Calculate the remainder when j is divided by 7.
6
Let z be (-24)/((-16)/(-4))*1. Let o = z + 17. What is the remainder when 32 is divided by o?
10
Suppose -4*w + 90 = w. Let u = -3 - -6. Suppose 5*i = -p + w + 6, 3*i + 36 = u*p. What is the remainder when p is divided by 5?
4
Let k = 4 - -2. Calculate the remainder when k is divided by 3.
0
Let b(k) = -k**2 + k - 3. Let y be b(-9). Let p = y + 157. Suppose 0 = -5*v + z + p, -4*z + z = -3. Calculate the remainder when 37 is divided by v.
11
Let n(f) = -f**3 - 11*f**2 - 13*f + 9. Suppose -6*h = -10*h - 40. Calculate the remainder when n(h) is divided by 14.
11
Suppose 0 = 2*c + 30 - 206. Calculate the remainder when c is divided by 30.
28
Suppose 2*l + 5*r - 42 = -9, -2*r + 10 = 0. Suppose 0*x + 23 = x + 3*a, l*x = -3*a + 74. Suppose -4*t + t = -27. What is the remainder when x is divided by t?
8
Suppose 0 = 2*o - 0 - 4. Suppose -o*b + 13 = -61. Calculate the remainder when b is divided by 20.
17
Let p = -2 + 5. Let k = 0 + -2. Calculate the remainder when p is divided by (12/(-3))/(k - 0).
1
Suppose -3*x + 0*x + 165 = 0. Suppose x - 1 = h. What is the remainder when h is divided by 28?
26
Suppose -2*m = 3 - 23. Let y(w) = -3*w + 3 - 2 - 2 - 1. What is the remainder when m is divided by y(-2)?
2
What is the remainder when 86 is divided by (-112)/(-5) - (-8)/(-20)?
20
Let j = -18 + 24. What is the remainder when 23 is divided by j?
5
Suppose 5*x = -0*x + 270. What is the remainder when x is divided by 14?
12
Suppose 3*d - 52 = d. What is the remainder when d is divided by (-2)/3 + 44/3?
12
Let q(a) = 2*a + 34*a**3 - 33*a**3 + 4*a - 3 + 7*a**2. Calculate the remainder when 65 is divided by q(-5).
14
Suppose -6*x + 4*x = -132. Calculate the remainder when x is divided by 36.
30
Suppose -2*u - 15*u = -323. Suppose 2*m - 2*f = -24, 0 = 3*f + f - 12. Calculate the remainder when (-224)/(-6) - (-3)/m is divided by u.
18
Let t be -4*(2 - (-15)/(-6)). Suppose t*j - 22 = -0*j. Let o(w) = -5*w + 7. What is the remainder when o(-5) is divided by j?
10
Let b(o) = -o**3 + 10*o**2 - 9*o + 7. Calculate the remainder when b(8) is divided by 32.
31
Suppose -o + 5*r + 1 = 0, -3 = 2*o - 5*r - 10. Suppose 40 = 4*n + 4*z, 2*n + 4*z - 4 = o. What is the remainder when 29 is divided by n?
14
Suppose -p - 1 = -3. Let z be (-5 + 5)/(-1 + p). Suppose 2*t = -z*t + 52. Calculate the remainder when t is divided by 14.
12
Suppose 2*u - 190 = -4*j, -4*u - 3*j - 42 + 402 = 0. Calculate the remainder when u is divided by 15.
12
Let o be (-2)/4 + 3/6. Suppose 3*g + 3 = -2*v - v, -2*g = 3*v + 5. Suppose o = 2*u + g - 36. Calculate the remainder when 33 is divided by u.
16
Suppose 14 = a - 0*a. Suppose 0*v = 2*v + 2*b + 92, 5*v - 4*b + 212 = 0. Calculate the remainder when a is divided by (-212)/v - (-4)/22.
4
Suppose -x = -0*x - 18. What is the remainder when ((-1775)/50)/(2/(-4)) is divided by x?
17
Let q be 13/3 - (-6)/9. Suppose 3 = x - q. What is the remainder when (1 - -22)*(-3 + 4) is divided by x?
7
Suppose -3*w = -2*w + 5*h - 31, -4*h = -16. Let m = -9 + w. What is the remainder when 34 is divided by (-1)/m + (-100)/(-8)?
10
Let q = -11 - -16. Suppose 3*j - 7*j = -8, q*i = 4*j - 8. Suppose 0 = -2*c + 8 - i. What is the remainder when c is divided by 3?
1
Let i(l) = l**2 + 8*l + 10. Let x be i(-7). Suppose -3*m + 2*m = -4, -5*m + 26 = x*n. Calculate the remainder when n is divided by 1.
0
Let y(h) = -h + 8. Let f be y(6). Suppose -6 = -n + f*o, 2 = 2*n + 3*o + 18. What is the remainder when 3/n*26/(-3) is divided by 5?
3
Let o(m) = m**2 + m + 4. Let u(g) = 2*g**2 + 3*g + 9. Let p(i) = 5*o(i) - 2*u(i). Let y be (-3 + 3)*(-2)/4. Calculate the remainder when 3 is divided by p(y).
1
Let k(d) = d**3 - 2*d**2 + 2*d - 1. Let u be k(1). Let x(p) = -p**2 - p + 13. Calculate the remainder when 49 is divided by x(u).
10
Let g = 88 - 30. Suppose -106 = -4*u - u + 3*c, -3*u + g = c. Suppose 2*s + 0*s = 22. What is the remainder when u is divided by s?
9
Let q(c) = c**3 - 10*c**2 + 8*c + 9. What is the remainder when q(10) is divided by 30?
29
Let o be 2/(-11) + 105/33. Suppose -18 = 2*b + 4*g, -5*g = -o*b - b + 29. What is the remainder when b is divided by -1 - 0 - 1 - -3?
0
Let r = -12 + 41. What is the remainder when r is divided by 15?
14
Let k be -7 + 7 + (-10)/(-2). Suppose -2*d = 2*r - d - 37, -k*d + 89 = 4*r. Suppose 0 = -5*g + 138 + 97. What is the remainder when g is divided by r?
15
Suppose 0 = -0*g + 2*g - 44. Suppose 25 = s - 40. What is the remainder when s is divided by g?
21
Suppose -f + 93 = 4*l - 2*f, 4*l + 3*f - 73 = 0. Let x = 5 - 4. Suppose 5*a - x = m + 38, -3*a + 2*m + 22 = 0. Calculate the remainder when l is divided by a.
6
Suppose -370 = -7*u - 69. Let p = 37 + -26. Calculate the remainder when u is divided by p.
10
Let w = 19 + -13. Suppose w*y + 47 = 557. What is the remainder when y is divided by 29?
27
Suppose 4*c - 15 = 9. Let k = c + -4. What is the remainder when 4 is divided by k?
0
What is the remainder when 20 is divided by ((-16)/(-3))/(4/12)?
4
Let o(g) = g**2 - 2*g + 16. What is the remainder when o(7) is divided by 4?
3
Suppose -80 = -32*r + 27*r. Calculate the remainder when r is divided by 9.
7
Let t = -20 - -60. What is the remainder when t is divided by 11?
7
Suppose 0 = -4*f - 4*x - 4, -2*x + 7 = 5*f - 0. What is the remainder when 43 is divided by 1/f + 44/3?
13
Suppose -3*s - 2*s = 0. Suppose s = -w - 3*r + 18, -2*r - 10 = -5*w + 3*r. Calculate the remainder when 17 is divided by w.
5
Let c = 51 + 46. What is the remainder when c is divided by 25?
22
Suppose a + 19 = b - 67, -98 = -b + 4*a. What is the remainder when b is divided by 17?
14
Let f be 0 - (-1 - (1 + 13)). Suppose -j - f = -5*k, 0 = 5*j - 21 - 4. Let u(s) = s**3 + 5*s**2 + 5*s + 6. What is the remainder when k is divided by u(-4)?
0
Suppose -3*k + 448 = 5*f - 4*f, -5*k = 4*f - 756. Suppose -2*a + k = 2*a. What is the remainder when a is divided by 13?
11
Suppose 0*q + 6 = 3*q - t, 3*t = 3*q - 12. Let u(r) = r**2 + 1. Let p be u(0). What is the remainder when -1*(q + p - 43) is divided by 14?
13
Suppose -2*r + 29 - 3 = -2*x, -3*x = -3. Suppose p - r = -4. Calculate the remainder when p is divided by 5.
0
Let h(r) = -r**3 - r**2 + 17. Calculate the remainder when h(0) is divided by 5 + 6 - (8 - 2).
2
Suppose 0 = 3*g + 3, -5*g - 145 = -x - x. What is the remainder when x is divided by 24?
22
Let o(p) = -p**2 - 4*p - 1. Let q be o(-5). Let y = q + 17. What is the remainder when y is divided by 7?
4
Let r = 2 + 18. Let m(j) = -3*j - 7. Suppose t + 14 = 8. Calculate the remainder when r is divided by m(t).
9
Suppose -121 - 179 = -6*i. Calculate the remainder when i is divided by 17.
16
Let x(z) = z**3 + 2*z**2 - z - 1. Suppose -7 - 6 = 4*l + w, -4*l = -3*w - 7. Let i be x(l). What is the remainder when (-2 - (i - 6)) + 13 is divided by 6?
4
Suppose 3*a - 5*w - 255 = -4*w, a = -4*w + 98. Suppose -a = -2*k - 0*k. What is the remainder when k is divided by 15?
13
Suppose 3*g + 3*t - 5*t = 58, -4*t - 84 = -4*g. Let c(o) = 4*o - 7 - 3*o + g. What is the remainder when 7 is divided by c(-5)?
3
Calculate the remainder when 248/14 - (-4)/14 is divided by 10.
8
Let p = -9 - -32. Let v(z) be the first derivative of -z**4/4 - 4*z**3/3 + 3*z**2/2 + 2*z - 2. What is the remainder when p is divided by v(-5)?
11
Let g = 284 + -141. Calculate the remainder when g is divided by 49.
45
Suppose 0 = -6*m + m + 60. Let y(p) = 47*p**3 + p**2 - p. What is the remainder when y(1) is divided by m?
11
Suppose -6 = -10*p + 7*p. Suppose 3*t = 2*n - 3, -5*t = -0*n + 4*n - 17. What is the remainder when n is divided by p?
1
Let r = 7 + -5. Suppose r = 2*g - 16. Calculate the remainder when 26 is divided by g.
8
Suppose -3*r + 2*y + 26 = 0, -4*r - 5*y = 