4 is divided by b.
4
Calculate the remainder when 2/(-9)*6 - 2361/(-9) is divided by 66.
63
Let f(n) = -n**2 + 14*n + 5. Calculate the remainder when f(12) is divided by 13.
3
Suppose -3*f + 62 = -46. Suppose 3*z - f = 3*h, 4*h + 24 = 4*z - 2*z. Let d = -402 + 409. What is the remainder when z is divided by d?
5
Let z = -68 - -96. Let g be (-1)/3 + (-177)/9. Let x = z + g. Calculate the remainder when 13 is divided by x.
5
Let g(z) = -z**2 - 2*z + 4. Let l(t) = -t**2 - t + 3. Let y(f) = 2*g(f) - 3*l(f). Suppose -68*p + 67*p = -5. Calculate the remainder when 56 is divided by y(p).
18
Let m = -104 - -113. Suppose 0*g + 2*g - 12 = 0. Let p = m - g. What is the remainder when 12 is divided by p?
0
Let f(x) = -2*x + 297. Calculate the remainder when f(20) is divided by 86.
85
Suppose v + 4*j - 114 = 6*j, 4*j = 3*v - 350. Calculate the remainder when v is divided by 34.
20
Let c be 2 - (3 + (-243)/3). Suppose -12*d + 17*d - c = 0. Calculate the remainder when d is divided by 6.
4
Let i(z) = -z**2 + 7*z - 6. Let s be i(4). Suppose s*y + 15 = 99. Calculate the remainder when 39 is divided by y.
11
Let w(t) = 0*t - 4*t + t + t - 17. Calculate the remainder when w(-24) is divided by 18.
13
Suppose 3*m - 4*l - 48 = 0, -l + 8 = 3*m - 25. Calculate the remainder when 69 is divided by m.
9
Suppose -18*k = -7*k - 363. Calculate the remainder when k is divided by 14.
5
Suppose -m + 46 + 29 = 5*d, d - 24 = -2*m. Calculate the remainder when 104 is divided by d.
6
Suppose 0 = -5*v + 15 + 10. Suppose v*z = 14*z - 540. Let t(c) = c**2 - 3*c - 2. Calculate the remainder when z is divided by t(-3).
12
Let y = -11 - -13. Suppose -3*p = y*p + 15. What is the remainder when (-37)/(2 + 9/p) is divided by 13?
11
Let m = -13 - -41. What is the remainder when 37 is divided by m?
9
Let y(v) be the second derivative of v**5/20 - v**3/6 + 25*v**2/2 - 2*v. Let r(b) = -b**2 + 19*b - 75. What is the remainder when y(0) is divided by r(12)?
7
Let j = -509 - -556. Let n(a) = -2*a**2 - 4*a + 9. Let m be n(7). Calculate the remainder when j is divided by m/(-5) + 15/25.
23
Suppose 20*x + 250 = 22*x. Suppose -3*g - 63 = -2*m, -4*m + 0*g + x = -5*g. What is the remainder when 118 is divided by m?
28
Let p(m) = -m**2 - 23*m - 98. Calculate the remainder when 51 is divided by p(-16).
9
Let s = -37 - -60. Let f(d) = d - 11. Let g be f(18). Let c(l) = -l + 15. What is the remainder when s is divided by c(g)?
7
Let t(b) = -b**3 - 4*b**2 + 5*b - 4. Let l be t(-5). Let m = l + 9. Suppose -4*j - d = -4, -3*d = 5 + 7. Calculate the remainder when m is divided by j.
1
Suppose 5 = j - 2. Suppose 0 = 8*r + j*r - 1620. What is the remainder when r is divided by 10?
8
Let z(h) = h**3 - 9*h**2 + 3*h - 15. Suppose -6*t = -13*t + 147. What is the remainder when t is divided by z(9)?
9
Suppose 4*l - 163 = 225. What is the remainder when l is divided by 25?
22
Let w = 6 + -1. Let a(c) be the first derivative of -c**4/4 - 2*c**3 - c**2 + c - 1. Calculate the remainder when a(-6) is divided by w.
3
What is the remainder when (-5)/40 - (-516)/32 is divided by 16?
0
Let p(n) = -43*n - 163. What is the remainder when 189 is divided by p(-5)?
33
Let k = 7 + -5. What is the remainder when 81 is divided by (21/12*k)/(2/8)?
11
Suppose v + 5*d + 7 = 34, -5*d + 69 = 2*v. What is the remainder when 119 is divided by v?
35
Let t = -11 + 14. Suppose 0 = -4*m - 8, 2*a - m + 126 = t*m. Let f = a + 120. Calculate the remainder when f is divided by 14.
11
Suppose l - 5*p - 1 = -2*l, 0 = 2*l + 4*p - 8. Suppose -l*o = -3*o. Suppose -w + 11 - 3 = o. What is the remainder when 13 is divided by w?
5
Let m(y) = 14*y**2 - 3*y - 2. Suppose 0 = -3*o - 2 - 1. Let f(w) = w**3 - 4*w**2 - 3*w - 6. What is the remainder when m(o) is divided by f(5)?
3
Let y = 6 - 3. Let n = -8 - -13. Suppose n*c + 14 = 54. What is the remainder when c is divided by y?
2
Let u = -51 + 105. What is the remainder when 214 is divided by u?
52
Let l = 108 + -54. What is the remainder when l is divided by 14?
12
Suppose 4*q - 6*q = -2. Let k = q - -7. Calculate the remainder when 3 - (-2 + -12 + 4) is divided by k.
5
Let o(h) = h**2 + 3*h - 5. Calculate the remainder when o(7) is divided by 10/4 - (-189)/6.
31
Suppose -4*k = 16, 31*k = -4*h + 33*k + 776. Calculate the remainder when h is divided by 47.
4
Let z(n) = 5*n - 4. Suppose 188 = -550*v + 554*v. What is the remainder when v is divided by z(4)?
15
Suppose 5*z = 6*z - 22. Calculate the remainder when 131 is divided by z.
21
Let f(q) = q**2 + 3*q + 25. Calculate the remainder when f(9) is divided by 43.
4
What is the remainder when 80 is divided by ((-1)/3)/((-11)/((-7623)/(-11)))?
17
Let v = 273 - 243. Calculate the remainder when v is divided by 26.
4
Let t(h) = 5*h**2 + 1. Calculate the remainder when (3/((-3)/2))/(16/(-1464)) is divided by t(3).
45
Suppose 3*x + 75 = 4*i, -i = i + 5*x - 5. Let d be ((-9)/i - -1)*-95. Calculate the remainder when 22 is divided by 2/(-6) - d/6.
4
Let t(y) = -y - 1. Let d be t(1). Let f be d + 1 - (-1 - 0). Suppose f = 2*b + m - 56, -64 = -4*b + 2*b - 3*m. Calculate the remainder when b is divided by 9.
8
Suppose 29*i - 34*i + 119 = q, 0 = 3*q - 2*i - 425. Calculate the remainder when q is divided by 3.
1
Suppose 29505 - 67 = 82*n. What is the remainder when n is divided by 13?
8
Let d(b) = 4*b**2 - 9*b - 23. Let n be (-2)/3 + (-69)/(-9). Calculate the remainder when d(6) is divided by 128/n - 8/28.
13
Let r(o) = 4*o**3 + 2*o**2 - 7. Let c be r(-3). Let z = 118 + c. What is the remainder when z is divided by 8?
5
What is the remainder when 200 is divided by 6 + -8 + 14 + 0 + -6?
2
Suppose 32*u - 216 - 360 = 0. What is the remainder when 35 is divided by u?
17
Suppose 3*i - 140 = -i. Calculate the remainder when i is divided by 10.
5
Suppose 2 = x - 29. What is the remainder when 55 is divided by x?
24
Suppose 3*p = 2*p + 5. What is the remainder when (12/(-1) + -1)*(-8)/8 is divided by p?
3
What is the remainder when 889 is divided by 8/(-10) + 4655/475?
7
Let b(d) = -2*d**3 - 7*d**2 + d - 2. Let l be b(-4). Let v = -14 + l. What is the remainder when (-72)/27*42/v is divided by 8?
4
Suppose h - l = -8 - 11, 4*h = 2*l - 68. Let q be 1/(-2) + h/(-2). Let s(m) = -m**3 + 8*m**2 - 6*m - 1. Calculate the remainder when 11 is divided by s(q).
5
Let j be (-2)/6 - 26/(-6). Suppose j*s + 4 = 2*m, 0 = 3*m - 5*m - s - 11. Calculate the remainder when m/(-3)*(14 - 2) is divided by 7.
2
Let u = -28 + 37. Let l be (-4)/(-10) + 176/10. Suppose -4*t = -t - l. What is the remainder when u is divided by t?
3
Suppose -5*b = -3*b - 4*z - 6, -5*z = 0. Suppose 0 = b*v - v - 10. Calculate the remainder when (3/(-2))/((-3)/38) is divided by v.
4
Suppose -3267 = -44*x - 539. Suppose 3*o + 44 = 7*o + 2*i, 3*o - 5*i = 7. Calculate the remainder when x is divided by o.
8
Let a(l) = -l**3 + 10*l**2 - 12*l + 8. What is the remainder when 49 is divided by a(8)?
9
Calculate the remainder when 126 is divided by ((-8)/((-32)/12))/((-6)/(-86)).
40
Suppose 0 = -6*l + 32 + 40. Calculate the remainder when 52 is divided by l.
4
Suppose 2*f - f = 38. Let r(o) = 2*o**3 - 29*o**2 - 13*o. Let x be r(15). Suppose x = -71*g + 74*g. Calculate the remainder when f is divided by g.
8
Suppose -3*x - 5*o + 83 = 0, -3*o + 149 = 31*x - 26*x. Calculate the remainder when x is divided by 12.
7
Suppose 27*k - 484 = 16*k. Calculate the remainder when 87 is divided by k.
43
Let a = 15 + -11. Let m = 22 + -13. What is the remainder when m is divided by a?
1
Let j = -79 + -52. Let w = 225 + j. What is the remainder when w is divided by 24?
22
Suppose -28*l + 194 = -27*l. What is the remainder when l is divided by 23?
10
Suppose -2*n + 2*s + 466 = 6*s, 2*n = -s + 454. Suppose 3*o - 12*o + n = 0. Calculate the remainder when o is divided by 7.
4
Let n = 260 + -237. Let o = 3 - -8. Let b = n - o. What is the remainder when 34 is divided by b?
10
Let k(j) = -8*j + 13. Let b = -27 + 49. Let u(d) = -d + 1. Let f(m) = b*u(m) - 2*k(m). What is the remainder when 40 is divided by f(-3)?
12
Let u = 49 + -19. Let o(s) = -s**3 - 4*s**2 - s + 4. What is the remainder when u is divided by o(-4)?
6
Suppose -511 - 17 = 6*k. Let t = -11 - k. Calculate the remainder when t is divided by 41.
36
Let x be -34*((-9)/6)/3. Suppose 12*c - x*