 - 0*i + 75. Calculate the remainder when i is divided by n.
1
Let l(s) = 5*s**2 - 2*s - 3. Let q = -601 - -627. Calculate the remainder when l(-3) is divided by q.
22
Let c(z) = 20*z - 66. Calculate the remainder when 179 is divided by c(4).
11
Let l(h) = -15*h + 43. Let u be l(6). Let v = -31 - u. Calculate the remainder when 94 is divided by v.
14
Let p = -623 + 1413. Calculate the remainder when p is divided by 8.
6
Let b(t) = t**3 - 3*t**2 - 9*t - 1. Let p be b(5). What is the remainder when 80 is divided by -1 - ((-53)/p - 15/(-60))?
8
What is the remainder when (2466/(-54))/(1/(-6)) is divided by 46?
44
Suppose 0 = -4*k + 88 + 500. Let o = -14 + k. What is the remainder when o is divided by 27?
25
Let v(m) = -m**3 - 43*m**2 - m + 73. What is the remainder when v(-43) is divided by 59?
57
Calculate the remainder when 53 is divided by (-234)/(-24) + (-6)/8.
8
Suppose v - 28 - 23 = -3*y, 5*v - y = 207. Calculate the remainder when v is divided by 12.
6
Suppose 3*t = 3*m + 9, 0 = 2*t - 2*m + 6*m - 18. What is the remainder when 32 is divided by t?
2
Suppose 2*z - 14 = -3*u, 4*u - 5 = -z + 12. Suppose -u*r + 20 = -32. What is the remainder when 18 is divided by r?
5
Let z = -1696 + 1727. What is the remainder when 104 is divided by z?
11
Let u = 35 - 18. Let m = -19 - -37. Let q = -13 + m. What is the remainder when u is divided by q?
2
Let c be (3/(-6))/((-29)/(-30) + -1). Calculate the remainder when 29 is divided by 24/c + 2/5 - -8.
9
Suppose 0 = -u - 3*c - 20, -3*u - 3*c + 5*c = 93. Suppose 2*a + 4*l - 44 = 0, 2*a = 3*l + 8 + 1. Calculate the remainder when (5 + -1)*u/(-2) is divided by a.
10
Let j = 2800 - 2523. Calculate the remainder when j is divided by 93.
91
Suppose -j = 3*z - 3*j - 11, -2*z + 3*j + 9 = 0. Let h be (-18)/3 - 4 - z. Let c = h - -24. What is the remainder when c is divided by 3?
2
Let d(x) = x**2 + 1. Suppose 0 = 3*f - t - 26 + 6, -14 = -f + 4*t. What is the remainder when d(4) is divided by f?
5
Let z(d) = -d**3 - 32*d**2 - 116*d - 19. Let l(m) = m**2 - 2*m - 1. What is the remainder when z(-28) is divided by l(-6)?
46
Let r be 3 + 12 + 16/4. Let v = 23 - r. Suppose -55 = v*y - 9*y. What is the remainder when 19 is divided by y?
8
Let g(c) be the third derivative of 29*c**5/60 - c**4/24 - 2*c**3/3 - 7*c**2. What is the remainder when g(2) is divided by 16?
14
Suppose 4*u + c + 3*c - 256 = 0, u + 3*c - 58 = 0. Calculate the remainder when u is divided by 36.
31
Suppose 5*i - 44*i + 14508 = 0. What is the remainder when i is divided by (-51)/(1 - 10/4)?
32
Let d(h) = -9*h + 216. What is the remainder when 241 is divided by d(21)?
25
Let o(i) = -i**2 - 8*i - 1. Let b be o(-7). Let d(n) = -n**2 - 12*n - 4. Let f be d(-7). Suppose -b*p = -5*p - f. What is the remainder when 90 is divided by p?
28
Suppose 3*j - 18 = 102. Suppose 5*d = -2*g + j, g + 6 = 1. Let c = 7 - 4. Calculate the remainder when d is divided by c.
1
Let w(z) = 49*z**2 - 40*z + 2. Calculate the remainder when 185 is divided by w(1).
9
Suppose -2*z + 17 = x, -52 = -3*x - 2*z + 11. Suppose -28*l + 27*l = 4*i - 48, -4*l = 3*i - 179. What is the remainder when l is divided by x?
21
Let t(c) = 1 - 3 + 2*c + 6 - 3*c. Let v be t(2). Suppose 0 = -2*m - 8, -4*w = v*m - 0*m - 44. What is the remainder when 51 is divided by w?
12
Suppose 96 = -3*w - 3*n, 5*w + 119 + 31 = -3*n. Let h = 64 + w. What is the remainder when 146 is divided by h?
35
Suppose 3*r + 56 = 185. Calculate the remainder when r is divided by 11.
10
Let w(r) = -9*r. Let n be w(9). Let q = n - -94. What is the remainder when (0 - 111)*2/(-6) is divided by q?
11
Let y(q) = -49*q - 17. Let x be y(-2). Suppose -x = -4*g + 55. What is the remainder when g is divided by 12?
10
Calculate the remainder when 34 is divided by (-8)/((-504)/27) + (-46)/(-7).
6
Let y(d) = 7*d**2 + 4*d + 4. Let w(x) = x + 6. What is the remainder when w(6) is divided by y(-1)?
5
Let r(u) = 27*u - 3. Suppose v + n = -1 - 4, 0 = 4*v - 5*n + 11. Let g = v - -22. Calculate the remainder when r(2) is divided by g.
15
Suppose 0 = 18*h + 553 - 3505. Calculate the remainder when h is divided by 3*(-5)/2*-2.
14
Let b(m) = 67*m**2 - 2*m + 1. Let i be b(1). Let h = 114 - i. Let d = h - 29. Calculate the remainder when 35 is divided by d.
16
Suppose 2*r = -2*o, -4*r = -5*o + 17 + 19. Suppose -o*m + 30 = 2*m. What is the remainder when 19 is divided by m?
4
Let n(d) = -d**3 + 18*d**2 - 3*d + 61. Suppose 57 = 3*q - s, 4*q - 39 = q - 5*s. What is the remainder when (-51)/(-2) - (-2)/(-4) is divided by n(q)?
4
Let y = -47 - -30. Let w = y + 33. What is the remainder when 2*12*(-15)/(-8) is divided by w?
13
Let s = -653 + 691. What is the remainder when 377 is divided by s?
35
Let y = -177 + 387. Calculate the remainder when y is divided by 4.
2
Suppose -181 + 781 = 4*q. Suppose 5*m + 75 = x, 2*x + 4*m - 2*m = q. What is the remainder when x is divided by 19?
18
Let h(m) = -m**2 + 3*m + 21. Let r be h(-8). What is the remainder when 4/4 + 2 - r is divided by 18?
16
Suppose 5*o + 2*k = 2*o, 0 = 3*o + 3*k. Suppose 2*v + 0*v - 2*f - 2 = o, -v = f - 5. Calculate the remainder when 8 is divided by v.
2
Let x(o) be the second derivative of o**4/12 - o**3/3 + 5*o**2 + 4*o. What is the remainder when 35 is divided by x(4)?
17
Let u = 90 - 28. Suppose 2*n + u = 66. What is the remainder when n is divided by 1?
0
Suppose 118 = 7*q + 13. Calculate the remainder when 59 is divided by q.
14
Let r = -65 + 104. Let k be (0 - (11 + -2))*10. Calculate the remainder when r is divided by 4/18 + (-1780)/k.
19
Let n(b) = 2*b**3 - 2*b**2 + 4*b + 3. Let i be n(3). Calculate the remainder when 14/2 + 2 + 0 is divided by i/9 + 5/15.
3
Suppose -a - 41 - 22 = -i, -330 = -5*i + 2*a. Calculate the remainder when 541 is divided by i.
65
Let v be (-26)/(-22) + 20/(-110). Suppose 2*y = 29 - v. Calculate the remainder when 51 is divided by y.
9
Suppose -b = a - 22 - 35, -5*a = -b - 273. Calculate the remainder when 190 is divided by a.
25
Suppose -h + 44 = 4*k, -43*h + 44*h - 3*k - 16 = 0. What is the remainder when 1145 is divided by h?
25
Let q = 51 + -30. Let w = -54 + 134. What is the remainder when w is divided by q?
17
Calculate the remainder when (-6 + 5)/(-3 + (-925)/(-310)) is divided by 48.
14
Let c(z) = z**3 + 4*z**2 + z. What is the remainder when 2/(-4)*2*(-6 - 17) is divided by c(-3)?
5
Let q(r) = 26*r**3 - 2*r + 1. Suppose 4*a + 5*o = 157 + 129, a - 4*o - 61 = 0. What is the remainder when a is divided by q(1)?
19
Let c = -202 - -231. What is the remainder when 68 is divided by c?
10
Let a(t) = -t**3 + 26*t**2 + 20. Let j be a(26). Suppose w = -j + 59. What is the remainder when w is divided by 10?
9
What is the remainder when 27 is divided by 2448/374 + (-12)/22?
3
Suppose -3*v = 74 - 182. Suppose -2*r = r - 4*x - 65, 3*x = 4*r - 82. Suppose 0*f = f - r. Calculate the remainder when v is divided by f.
17
Let t(p) = -2*p**3 + p**2 - 3*p - 1. Let q be t(-3). Let v = -42 + q. Calculate the remainder when 83 is divided by v.
25
Suppose -m + 2 = 8. Calculate the remainder when 35 is divided by (-2)/m*-3*-9.
8
Let z = 225 - 70. What is the remainder when 327 is divided by z?
17
Calculate the remainder when 59 is divided by ((-3)/6)/(17/(-1734)).
8
Let q(r) = -r + 29. Let f be q(-11). Let t = f + -29. Calculate the remainder when 76 is divided by t.
10
Let q = -7 + -9. Let m = 30 + q. What is the remainder when m is divided by (4/(-8) + 1)*8?
2
Suppose -35 = 5*y + 3*q + 2*q, -2*q = -y - 10. Let t = y - -12. Suppose -h + t = 0, 2*h + 111 = 3*u + 5*h. Calculate the remainder when u is divided by 9.
6
Suppose 308 = 2*h - 0*h. What is the remainder when h is divided by (-12)/3*(-4 + 9/12)?
11
Suppose 2*w - 29 = -5*z - 2*w, w - 1 = 0. Calculate the remainder when 334 is divided by z.
4
Let s(r) = r + 2. Let o be s(2). Let x be ((-6)/(-8))/(o/48). Suppose 2*m - x = 3. What is the remainder when 17 is divided by m?
5
Let z = 19 + -22. What is the remainder when -3 + (3 + z - -23) is divided by 9?
2
Let z be 13/5 - (-14)/35. Suppose -s - z*o = -8, 3*s = 2*s + 5*o. Suppose -3*v + 19 = 1. What is the remainder when v is divided by s?
1
Suppose 0 = -132*b + 23*b + 151292. Calculate the remainder when b is divided by 116.
112
Suppose -5*z - 20 = -2*f - 0*f, 0 = -f + 3*z + 1