 remainder when 92/2 + (1 - 0) is divided by (-6)/(1 - f/(-2)).
11
Suppose -5*x + 6*y - y = -60, -5*y + 3 = 2*x. Calculate the remainder when 52 is divided by x.
7
Let q(o) = 2*o - 2. Let r(u) = -u**2 + 3*u + 2. Let y be r(3). Suppose -y*s + 4*s = 16. What is the remainder when 53 is divided by q(s)?
11
Let k be (2/6)/(2/42). Suppose -2*p + 2*c + 51 = k, 0 = -3*p - 2*c + 41. Let v(l) = -l**3 + 8*l**2 - 5*l - 5. What is the remainder when p is divided by v(7)?
8
What is the remainder when ((-3)/2)/((-24)/272) is divided by 10?
7
Suppose -102*z = -105*z + 147. Calculate the remainder when z is divided by 18.
13
Let s = 10 + -6. Let m(v) = 3*v**3 - v**2 + 1. Calculate the remainder when s is divided by m(1).
1
Let f(r) = r**2 + 3*r - 4. Let y be f(-4). Suppose y = 3*a - h - 2, -5*h = a - 22. What is the remainder when 14 is divided by (4 + a)/((-3)/(-4))?
6
Suppose 471 = 6*u + 147. Let j be (1/(-1))/(2/(-8)). What is the remainder when u is divided by (j/(-6))/((-1)/21)?
12
Suppose 0 = 4*q - 2*q - 78. Let f = q - 23. What is the remainder when 30 is divided by f?
14
Suppose 0 = 3*v + 12, 0*z - 4*z + 72 = 4*v. What is the remainder when z is divided by 8?
6
Let z = 159 - 154. What is the remainder when 22 is divided by z?
2
Let r = -92 - -362. Suppose 0*o - r = -4*a + o, 66 = a - o. Suppose -2*c + 2*l + 48 = 0, 2*l = -3*c - 2*l + 65. Calculate the remainder when a is divided by c.
22
Let s = -52 + 54. What is the remainder when (-4 - 1)*14/(-35) is divided by s?
0
Suppose -4*v + d = -205, -v + 11 = 5*d - 14. Calculate the remainder when v is divided by 13.
11
Let j(o) = 40*o - 3. What is the remainder when j(3) is divided by 24?
21
Suppose 2*k - k - 61 = 0. Calculate the remainder when k is divided by 32.
29
Suppose -4*v + 2*j = -2*v, -2*v = -4*j + 6. What is the remainder when 2*4 + 1 + v is divided by 5?
2
Let l(j) = j**3 - j**2 + 1. Let x(v) = 2*v**3 + 2*v**2 - 2. Let m(w) = -l(w) - x(w). Suppose -3*c - c = -28. What is the remainder when c is divided by m(-1)?
1
Let y(q) = 3*q**3 + q**2 - 4*q + 4. What is the remainder when y(2) is divided by 5?
4
Let d(f) = -2*f**2 - 2*f + 3. Let r be d(-3). What is the remainder when 0 - -15 - r/3 is divided by (-4 - -1)*(-10)/3?
8
Let u(j) be the first derivative of -j**4/4 + 5*j**2/2 + 6*j + 1. Calculate the remainder when u(-4) is divided by 26.
24
Let h(j) = -j + 14. Calculate the remainder when h(-7) is divided by 13.
8
Let b be (-1)/2*2 - -10. Calculate the remainder when 30 is divided by (24/(-5))/(b/(-30)).
14
Suppose -2*k = -h - 56 - 6, 2*k - 5*h = 78. What is the remainder when k is divided by 8?
5
Let k(n) = 9*n - 22. Let u be k(11). Let l = -41 + u. What is the remainder when 141 is divided by l?
33
Suppose 0 = -2*q + 8, 3*o + 3*q = q + 68. What is the remainder when o is divided by 7?
6
Suppose -10*y + 87 = -7*y. Suppose 4*z + u + 22 - 83 = 0, 0 = 3*z + u - 45. What is the remainder when y is divided by z?
13
Let b be 5*(4 + -1 - 2). Suppose -b*i + 93 + 62 = 0. What is the remainder when i is divided by 11?
9
Let k(d) = -d**3 + 0*d**2 + 0*d**2 + 2*d**2 + d + 10 - d**2. What is the remainder when 4/5 + 364/20 is divided by k(0)?
9
Suppose 0 = 5*s + 15, 0 = -5*m - s - 3*s + 18. Let h be -3 - (-7)/((-21)/6). What is the remainder when 19 is divided by (m/2)/(-3)*h?
4
Let p = 19 + -9. Suppose 0*r = -2*r + 18. Suppose -1 = 2*f - r. What is the remainder when p is divided by f?
2
Let k(n) = -n + 11. Let m be k(8). Suppose -j + 0*i + 12 = i, -4*j + 45 = m*i. What is the remainder when (-114)/(-7) - 18/63 is divided by j?
7
Let b be -1*((0 - 2) + 7). Let n = 8 + b. Suppose 0*c = c - n. Calculate the remainder when 8 is divided by c.
2
Let s = 61 + -29. Let g be 2/((-1)/2 - -1). What is the remainder when s is divided by 22*(-2 + 10/g)?
10
Let p = -304 - -174. Calculate the remainder when 37 is divided by (p/15)/(6/(-9)).
11
Let r = -34 + 61. Suppose r = 4*h - h. What is the remainder when 16 is divided by h?
7
Let y(k) be the first derivative of 7*k + 9/2*k**2 + 3 + 2/3*k**3. Calculate the remainder when y(-6) is divided by 7.
4
Let c = -8 - -8. Suppose 4*y - 5*v = 44 + 73, c = -y - 4*v + 3. Calculate the remainder when 68 is divided by y.
22
Let c = 61 + -27. Calculate the remainder when c is divided by 9.
7
Suppose 3*s = 2*y + 31, 0*s + s - 2*y = 17. Let x = s + 31. Let h = 3 + 17. Calculate the remainder when x is divided by h.
18
Suppose 12 = -5*n - 8, -4*o = n - 8. Suppose 2*a + 23 = o*a. What is the remainder when a is divided by 8?
7
Let i(s) = -2*s**3 - 4*s - 3. Let a(x) = -59*x. Calculate the remainder when a(-1) is divided by i(-2).
17
Let h = -77 + 91. What is the remainder when 34 is divided by h?
6
Suppose -5*c = -3*v + 43, -4*c = -2*c + 10. Calculate the remainder when v is divided by 3.
0
Suppose q = 46 - 3. Calculate the remainder when q is divided by 11.
10
Suppose -122 = -4*x + 110. What is the remainder when x is divided by 12?
10
Let b(l) = l**3 + 6*l**2 - 8*l. Let j be b(-7). Let t(v) = v**3 - 6*v**2 - 3*v + 7. Calculate the remainder when t(j) is divided by 12.
11
Let c be 3 + (0 + 1)*1. Let w = c - 7. What is the remainder when 13 is divided by (-48)/(-9) + 1/w?
3
Suppose -4*x + 38 = 2*b, -5*x + 33 + 19 = -2*b. Calculate the remainder when 37 is divided by x.
7
Suppose 0 = -4*z + 101 - 13. Suppose 0 = 5*p - 33 - 12. What is the remainder when z is divided by p?
4
Suppose -2*k + 315 = 3*k. Suppose 77 - 11 = 3*s. What is the remainder when k is divided by s?
19
Let v(j) = 3*j - 19. What is the remainder when 30 is divided by v(9)?
6
Suppose -y = -5*y - 4*x + 276, -4*y = 3*x - 280. Calculate the remainder when y is divided by 15.
13
Suppose -3*z + 7*z = 132. Calculate the remainder when 129 is divided by z.
30
Suppose 3*i = -5*b + 47, 3*b + i = -0*i + 29. Calculate the remainder when 33 is divided by b.
3
Let h(u) = u**2 - 6*u + 5. Suppose -4 = -4*b + 20. Calculate the remainder when 9 is divided by h(b).
4
Suppose -3*f - 2*j + 8 + 11 = 0, -3*f + 39 = -3*j. Suppose -5*u - 15 = -40. What is the remainder when f is divided by u?
4
Let s(n) = -n**3 + 4*n**2 - 3*n + 4. What is the remainder when s(3) is divided by (2/(-2))/(5/(-15))?
1
Suppose 5*q - 102 = -3*r, -3*q + 11 = 2. Calculate the remainder when r is divided by 8.
5
Let g(b) = b**2 + 5*b - 4. Let l be g(5). Let y = l - -66. Suppose -2*n - y = -6*n. Calculate the remainder when n is divided by 15.
13
Let f = 169 - 47. What is the remainder when f is divided by 25?
22
Let r = -39 + 25. Let d be 4/(-14) - 340/r. Suppose y - d = -3*y. Calculate the remainder when 16 is divided by y.
4
Suppose 0 = 4*j - 5*k - 228, 0 = -5*j - 4*k + 145 + 140. What is the remainder when j is divided by 20?
17
Suppose -5*a + 43 = b + b, -40 = -5*a - 5*b. Suppose a*o - 40 = 4*o. What is the remainder when 15 is divided by o?
7
Let o(n) = -n**3 - 7*n**2 - n. Let f(l) = l**3 + 8*l**2. Let h(z) = -2*f(z) - 3*o(z). Calculate the remainder when 7 is divided by h(-4).
3
Let r(u) = -u**3 + 2*u**2 + 4*u + 26. Calculate the remainder when 75 is divided by r(0).
23
Suppose 4*f - 330 - 730 = 0. Suppose -4*t + f = t. What is the remainder when t is divided by 14?
11
Suppose -58 = 13*v - 214. Calculate the remainder when 80 is divided by v.
8
Suppose -2*o = 8*a - 3*a - 31, a + 117 = 4*o. What is the remainder when 81 is divided by o?
25
Let f = -59 - -88. What is the remainder when f is divided by 8?
5
Suppose -2*f + 7*f = 795. Calculate the remainder when f is divided by 54.
51
Let n be (6 - 2)/(-1)*-1. Let d = n + 0. Suppose -5*p = -k - 51, 5*p + k = -0*k + 59. What is the remainder when p is divided by d?
3
Suppose -c = 1 + 4. Let s(u) = 2*u - 3. Let t be s(c). Let w = 1 - t. What is the remainder when w is divided by 4?
2
Suppose 17*z = 14*z + 15. Let a be -1 + 0 + -1*8. Let r = 0 - a. What is the remainder when r is divided by z?
4
Let f(m) = m**3 - 10*m**2 + 26. Calculate the remainder when f(11) is divided by 30.
27
Let m(n) = n**3 - n**2 + 4*n - 7. What is the remainder when 113 is divided by m(3)?
21
Let z(d) = 70*d**2 - 3*d + 3. Let h(b) = 9*b - 3. Calculate the remainder when z(1) is divided by h(3).
22
Suppose -n = 4*b - 14, 2*b + 3*b + 5*n - 10 = 0. Suppose 52 = -b*u + 184. Calculate the remainder when u is divided by 17.
16
Suppose -21 + 1 = -4*k. 