e remainder when 30 is divided by x.
12
Let c(o) = 21*o + 9. What is the remainder when c(5) is divided by 20?
14
Suppose -6 = -4*y + 4*n + 6, -2*y - 3*n = -6. What is the remainder when 5 is divided by y?
2
Suppose 0 = -0*o - 3*o - f + 8, o + 4*f = -1. Calculate the remainder when 11 is divided by o.
2
Let g be (4/(-12))/(1/(-105)). Suppose -4*t = -v - 28, 5*t - g = -2*v + v. What is the remainder when 12 is divided by t?
5
Let k = 298 - 137. Calculate the remainder when k is divided by 41.
38
Let u(k) = k**3 - 6*k**2 - 10*k - 11. Let h = 15 + -10. Suppose -j - 28 = -h*q + 2*q, 4*q - 44 = -2*j. What is the remainder when u(8) is divided by q?
7
Calculate the remainder when -1 + -3 + 8 + 73 is divided by 13.
12
Let d(j) = 23*j**2. Suppose 0 = -5*b - 244 - 116. Let t = -5 - b. Calculate the remainder when t is divided by d(1).
21
Suppose -18 = -5*r + 37. Let b = 1 - 5. What is the remainder when r is divided by -2*(1*b)/2?
3
Suppose 4*w = 2*g - 4, 5*w + 9 = 4*g + 1. Calculate the remainder when 7*1 + g + -4 is divided by 3.
2
Suppose 2*s - 33 = -s. Let p(f) = f**3 - f**2 + 4*f. Calculate the remainder when p(3) is divided by s.
8
Let g = -21 + 40. Suppose 0 = -3*r - 5*x + g, 5*r = -2*x + 88 - 31. Suppose -3*b = -5*n - 2 + 42, -n + 8 = 5*b. What is the remainder when r is divided by n?
5
What is the remainder when (-2)/5 - (-2470)/50 is divided by 17?
15
Let l(o) = o**2 - 15*o + 2. What is the remainder when 5 is divided by l(15)?
1
Let t = 16 + -10. What is the remainder when 50 is divided by 2/t + (-150)/(-9)?
16
Let m(y) = -6*y. Let f be ((-2)/4)/(1/2). What is the remainder when 204/21 - 2/(-7) is divided by m(f)?
4
Suppose -u + 6*u = 155. Calculate the remainder when 252/4 - 4/1 is divided by u.
28
Let a = -41 + 84. Calculate the remainder when a is divided by 18.
7
Suppose -24*l + 40 = -19*l. Calculate the remainder when 38 is divided by l.
6
Let z be 14/21 + 70/(-6). Let m = z + 24. What is the remainder when 25 is divided by m?
12
Let o(t) be the first derivative of -t**4/4 - 2*t**3 - 2*t**2 - t + 2. What is the remainder when 44 is divided by o(-6)?
21
Let s = 88 + -49. Let v(r) = r**3 - 7*r**2 + 9*r - 8. What is the remainder when s is divided by v(6)?
9
Suppose 0 = -2*l - z + 119, l + 4*l - 4*z - 278 = 0. What is the remainder when l is divided by 15?
13
Let j(q) = 5*q - q**3 + 5*q - 5*q - 9 - 3*q - 5*q**2. Calculate the remainder when 58 is divided by j(-6).
13
Let h(x) = x**3 - 11*x**2 - 11*x - 9. Suppose 0 = -3*j + 4*u + 4 + 9, 5*j - 4*u = 19. What is the remainder when h(12) is divided by j?
0
Suppose 77 = 5*m - 63. Let d be 12/(-8) + (-14)/(-4). Suppose 0 = -3*q + 3, 2*w - 5*q = -d*w + 35. What is the remainder when m is divided by w?
8
Let s(o) = -o**3 - o**2 + o + 2. What is the remainder when s(-2) is divided by (-7)/(-5) - 27/(-45)?
0
Let o = -43 + 73. Suppose 1 = -f + o. Suppose -3*v = -4*d + f, -2*v = 3*d + v - 27. What is the remainder when d is divided by 5?
3
Let j(q) = -q**3 + 15*q**2 - 8*q - 20. Calculate the remainder when j(14) is divided by 17.
13
Let q(w) = 3*w**3 + w**2 - w - 2. What is the remainder when 45 is divided by q(2)?
21
Calculate the remainder when 37 is divided by (-4 + 144)/(-5)*(-2)/4.
9
Let m = 320 + -162. What is the remainder when m is divided by 32?
30
Let q(o) = -o**2 + 10*o - 6. What is the remainder when 23 is divided by q(9)?
2
Let j(w) = w**2 - 14*w + 7. Calculate the remainder when j(-5) is divided by 21.
18
Suppose 51 = 2*k + 3*x + 2*x, 0 = 4*x - 12. Let v(m) be the second derivative of m**3/6 + m**2 + 4*m. What is the remainder when k is divided by v(3)?
3
Suppose a + 4*l = -2*a - 30, -4*l = -2*a. What is the remainder when (-94)/a - 4/(-12) is divided by 6?
4
Suppose -s + 60 = 4*s. Let w(m) = m**3 - 5*m**2 - 3*m + 5. Let x(p) = -2*p - 8. Let i be x(-7). What is the remainder when w(i) is divided by s?
11
Let o = -46 - -60. Suppose 3*b + z - 160 = -b, 115 = 3*b + 2*z. Calculate the remainder when b is divided by o.
13
Let r(w) be the second derivative of -w**5/20 + 7*w**4/6 + 2*w**3/3 + 2*w**2 + 7*w. What is the remainder when r(14) is divided by 21?
18
Let h be (-1 - -6)*(-42)/(-70). Calculate the remainder when 37 is divided by 20/(-1)*h/(-6).
7
Let u = -14 - -15. Calculate the remainder when 43 is divided by 22*(1/(-2) + u).
10
Calculate the remainder when 70 is divided by ((-252)/35)/((-3)/10).
22
Suppose 5*w = -3*y + 141, 6 = 4*w - 2*w. Calculate the remainder when 164 is divided by y.
38
Let j(n) = -2*n**3 - 2*n**2 - 3*n. Let d(t) = t**3 - 9*t**2 + 10*t - 8. What is the remainder when j(-2) is divided by d(8)?
6
Suppose 3*r = -4*w + 42, -w = 3*w - 4*r - 56. Let l = -3 + 4. What is the remainder when 1/((-22)/23 + l) is divided by w?
11
Let h(r) = 2*r + 9 - r**2 - 8*r - 6 + 2*r**2. Suppose -4*q = -3*q - 5. What is the remainder when q is divided by h(6)?
2
Let d(f) = f**3 + 6*f**2 + 4*f - 2. Let m be d(-5). Suppose 0 = -m*b - b + 36. What is the remainder when 15 is divided by b?
6
Suppose -130*q = -132*q + 126. Calculate the remainder when q is divided by 11.
8
Let o(d) = d**3 + 2*d**2 + 2*d + 3. Suppose 4 = 2*y - 4*y. Let s be o(y). What is the remainder when ((-2)/(-6))/(s/(-9)) is divided by 2?
1
Suppose -2*z - v - 2*v = -127, 0 = -3*z + 3*v + 213. What is the remainder when z is divided by 7 + -2 - (2 - -3) - -23?
22
Let x = 179 + -54. What is the remainder when x is divided by 21?
20
Let y(u) be the second derivative of u**5/20 - u**4 + 13*u**3/6 - u**2 + u. Let o be 9 + 14/8 + (-8)/(-32). Calculate the remainder when y(o) is divided by 11.
9
Suppose -481 = -7*h + 58. Calculate the remainder when h is divided by 26.
25
Let f(z) = z + 1. Let y be f(3). Let k = y - 0. Calculate the remainder when k is divided by (3 - 6)/(1 + -2).
1
Suppose 4*f = f + 6. Suppose 2*i + 6 + f = 0. Let s(w) = w**3 + 5*w**2 + w + 2. What is the remainder when 41 is divided by s(i)?
13
Let h(o) be the second derivative of -o**5/20 - o**4/12 - 5*o**3/6 - 3*o**2 - o. Let j be h(-4). Let m = j - 40. What is the remainder when m is divided by 8?
6
Let w(o) = 12*o + 1. Let h be w(6). Let s = h + -48. Calculate the remainder when s is divided by 14.
11
Let g be 34/(-3) - 8/12. Let q = 2 - g. What is the remainder when q is divided by 8?
6
Let k = 20 - 4. Let x = 2 + 1. Suppose x = q - k. Calculate the remainder when q is divided by 11.
8
Suppose q - 15 = 2. Calculate the remainder when 65 is divided by q.
14
Calculate the remainder when (-4)/(-2) - (2 + 0 - 54) is divided by 15.
9
Suppose -5*v + 62 + 3 = 0. Suppose 2 = o - v. Calculate the remainder when o is divided by 9.
6
Let q = 11 + -3. What is the remainder when q is divided by 3?
2
Suppose -2*o - 25 = -7*o. Suppose -o*v + 29 = -3*j, 45 = -0*v + 5*v + 5*j. What is the remainder when 18 is divided by v?
4
Let h = 33 - 15. What is the remainder when 48 is divided by h?
12
Suppose -s - 109 - 49 = 0. Suppose -4 = -4*o - 4*w + 32, -o - 3 = -3*w. What is the remainder when s/(-4) + o/(-4) is divided by 13?
12
Suppose t - 1 = -h, 2*t = -10*h + 5*h + 2. Suppose -1 = -4*i + 3*c + 10, -2*c = -i - 1. What is the remainder when 4/i*(-5)/(-2) is divided by t?
0
Suppose 48 = -2*z + 4*z. Calculate the remainder when z is divided by 2.
0
Suppose -208 = -4*d - 4*f, -13*d + 11*d + 4*f = -128. What is the remainder when 220 is divided by d?
52
Let u = 226 - 113. Suppose 4*f - 75 = -3*k, -2*f + 7*f - 43 = -2*k. What is the remainder when u is divided by k?
26
Suppose 0 + 4 = -4*c. Calculate the remainder when 39 is divided by 0 + c - 33/(-3).
9
Let y(m) be the third derivative of m**4/8 - 7*m**3/3 - 6*m**2. Calculate the remainder when y(6) is divided by 3.
1
Suppose s = -5*j + 37, j - s - 35 = -3*j. Calculate the remainder when 23 is divided by j.
7
Suppose 0 = 3*q - 37 - 332. Calculate the remainder when q is divided by 21.
18
Let b = 5 - 14. Let c = b - -21. What is the remainder when 23 is divided by c?
11
Suppose u + 3*u + 4*r = 48, -3*u - 5*r = -42. What is the remainder when 42 is divided by u?
6
Suppose -4*p = -0*p + 2*y - 152, -2*p + 86 = -4*y. Let n(i) = -i**3 - i + 14. Calculate the remainder when p is divided by n(0).
11
Let n = 127 + -80. Let o = 66 - n. Calculate the remainder when 36 is divided by o.
17
Suppose c - 5*m - 31 = 0, 2*m - 6*m = 4*c - 52. Ca