 -d, 0 = z - 3*d - 4. Suppose -4*h - 31 = -123. Let u = z + h. What is the remainder when u is divided by 8?
7
Let d = 250 + -222. What is the remainder when 32 is divided by d?
4
Suppose 574 = 121*u - 114*u. Calculate the remainder when u is divided by 12.
10
Let b(m) = -m**3 - 6*m**2 - 2*m + 2. Suppose -352 = -o - 257. What is the remainder when o is divided by b(-6)?
11
Let n(b) = -b**3 - 3*b**2 + 3*b + 10. What is the remainder when 27 is divided by n(-4)?
13
Calculate the remainder when 151 is divided by -3 + -87*((-10)/3 - -3).
21
Let h(f) = -4*f**2 - 48*f + 5. What is the remainder when h(-12) is divided by 64/28 - (-3)/(63/(-6))?
1
Suppose -4*r - 2 = -3*r. Let l be r/(-5) + 364/(-10). Let s = l + 59. Calculate the remainder when 45 is divided by s.
22
Let a = -37 + 83. Suppose -4*x - 18 + 82 = -5*l, 0 = -3*l. Calculate the remainder when a is divided by x.
14
Suppose -112 = -4*f + 5*c, 12 = -2*f + 4*c + 74. Suppose 4*a = 2*q - 12, 0*a + 5*a = q + 6. Calculate the remainder when f is divided by q.
9
Suppose -48 - 246 = 6*h. Let v = -40 - h. Calculate the remainder when 26 is divided by v.
8
Let f = -17 + 30. Suppose s = -2*i - s - 2, -5*i + 4*s = -f. Calculate the remainder when (1/(-2))/(2/(-4)) is divided by i.
0
Suppose 5*z - d - 30 = 0, -4*z + 2*z - 11 = -5*d. Calculate the remainder when 25 is divided by z.
4
Suppose -45 = 9*r, -5*z + r = -z - 105. Suppose -n = -35 + 176. Calculate the remainder when (-8)/(-12)*n/(-2) is divided by z.
22
Suppose -17*f - 220 = -22*f. Calculate the remainder when 130 is divided by f.
42
Let q be 34/10 - 6/(-10). Suppose -q*s = -9*s + 30. What is the remainder when 23 is divided by -4*(-2)/(4/s)?
11
Suppose 5*l - 7*l = 118. Let z = -92 - l. Let k = z + 63. What is the remainder when k is divided by 11?
8
Let n = 3272 + -2619. Calculate the remainder when n is divided by 83.
72
Let w = -315 - -728. What is the remainder when w is divided by 83?
81
Let l = 14 - -2. Calculate the remainder when -2*(-4)/l*2*143 is divided by 36.
35
Suppose 0 = 13*c + 8*c - 441. Calculate the remainder when 333 is divided by c.
18
Let x(m) = m**2 + 4*m + 4. Let r(h) = -3*h**2 - 7*h - 7. Let q(a) = -3*r(a) - 7*x(a). What is the remainder when q(-4) is divided by 11?
9
Suppose -38*n + 90 = -33*n. Let b = 99 - 65. Calculate the remainder when b is divided by n.
16
Suppose -z + 96 = j + 6, -4*z + 272 = 3*j. What is the remainder when 1054 is divided by j?
86
Let c = 13 - 11. Suppose 9*r = 4*r + 2*d + 237, 0 = 2*r - c*d - 90. Calculate the remainder when r is divided by 17.
15
Let s(i) = -i**2 + 9*i - 6. Let t be s(8). Let l(c) = t*c**2 - c**2 - 8*c - 7 + 12*c. Calculate the remainder when 98 is divided by l(4).
23
Let p be 4/(16 - 0) + 70/8. Suppose -3*v + p = -18. What is the remainder when 25 is divided by v?
7
Let x = -249 - -300. Calculate the remainder when x is divided by 12.
3
Let n(w) be the first derivative of -w**4/4 + 3*w**3 + 11*w**2 + 4*w + 11. What is the remainder when 5 is divided by n(11)?
1
Suppose 5*k - 5*h - 250 = 0, 2*k + 0*h - 3*h - 103 = 0. Let n(p) = 13*p**2 - p. Calculate the remainder when k is divided by n(1).
11
Let n(i) = -i**3 - 8*i**2 + 7*i + 1. Let a = 4 + -1. Calculate the remainder when n(-9) is divided by -6 + 6 + (a - -1).
3
Suppose -960 = -10*v + 210. What is the remainder when v is divided by 20?
17
Suppose 4 = -l + 8. Calculate the remainder when (-4 - 14/(-4)) + 67/2 is divided by l.
1
Let y(r) = 15*r - 5. Suppose -21*a + 125 = -14*a - 1. Calculate the remainder when y(6) is divided by a.
13
Let n(a) be the first derivative of -a**4/4 - 10*a**3/3 - a**2/2 + a + 14. Calculate the remainder when 28 is divided by n(-10).
6
Let u = 141 - 114. Suppose 25*a + 70 = u*a. Suppose 18 + 0 = c. Calculate the remainder when a is divided by c.
17
Suppose -4*y - 108 + 412 = 0. Calculate the remainder when 606 is divided by y.
74
What is the remainder when (513/(-114))/((-3)/92) is divided by 62?
14
Calculate the remainder when ((-28)/56)/(2/(-160)) is divided by 23.
17
Suppose -303 = -5*b - 148. Calculate the remainder when b is divided by 7.
3
Suppose 0*l = -4*l + 8. Let a(f) = -8*f**3 + 3*f**2 - 2*f - 2. Let t be a(l). What is the remainder when 34 is divided by t/(-6) + (-2)/3?
7
What is the remainder when 72 is divided by 8/((-8 - -5) + 14/4)?
8
Suppose -5*p = 4*z - 1688, -2*z - 447 = -3*z + 5*p. Calculate the remainder when z is divided by 13.
11
Suppose -u - 4*r = -18, -5*u + 4*r = 2*r - 2. Suppose -4*w + u*m + 101 = -133, w + 2*m - 61 = 0. What is the remainder when w is divided by 15?
14
Let g(i) be the second derivative of -i**5/20 + 7*i**4/12 + 3*i**3/2 - 5*i**2 + 9*i. Calculate the remainder when g(7) is divided by 28.
25
Let x(b) = b**2 - 5*b - 7. Let m be x(6). Calculate the remainder when (-2 - (114/(-3) - m)) + 0 is divided by 19.
16
Let h = 28 + 38. What is the remainder when 856 is divided by h?
64
Suppose -4*o = 3*b - 9, -3*o + 4 = o + 4*b. Let a be o - 0 - (-5 + 1). Suppose a*s = 5*s + 75. Calculate the remainder when 42 is divided by s.
12
Let c = 40 - 58. Calculate the remainder when c*((-14)/(-6) + -4) is divided by 11.
8
Let t = 8 + -6. Suppose 81 = t*d - 65. Calculate the remainder when d is divided by 19.
16
Let t = 43 + -41. Suppose -3*k + 27 = j, 1 - 8 = -j + t*k. Calculate the remainder when 58 is divided by j.
13
Suppose -5 = g, 2*y + 10*g - 52 = 8*g. Calculate the remainder when y is divided by 18.
13
Suppose 5*b - 339 = 581. Suppose -b = -2*o - 154. Calculate the remainder when 41 is divided by o.
11
Suppose 68*v - 255 = 85. What is the remainder when 39 is divided by v?
4
Let h = -548 + 573. Calculate the remainder when 80 is divided by h.
5
Let l = -81 - -58. Let g = 80 + l. Suppose 0*h = -2*m + 2*h + 52, 2*m - g = h. What is the remainder when m is divided by 8?
7
Let j(i) = i**2 - 11*i - 178. What is the remainder when j(23) is divided by 10?
8
Suppose o = -4*o + 35. Suppose -o*h - 88 = -11*h. What is the remainder when 107 is divided by h?
19
Let z = 14 - 9. Calculate the remainder when (-14)/((10/(-6))/z) is divided by (2 - 12)/((-6)/9).
12
Let x = 29 - 19. Suppose -5*p - x = -175. Let g = 28 - 10. Calculate the remainder when p is divided by g.
15
Suppose -86 - 57 = -9*g - 2*g. Let n(l) = l. Let d be n(0). Calculate the remainder when (-3 + d)*17/(-1) is divided by g.
12
Let x(f) = f**2 + 9*f - 17. Let b = 104 - 15. Calculate the remainder when b is divided by x(-12).
13
Let w(q) = 11*q**3 + 2*q**2 + q + 1. Let h(o) = 37*o + 1308. What is the remainder when w(2) is divided by h(-34)?
49
Suppose -123*y + 132*y - 837 = 0. What is the remainder when 929 is divided by y?
92
Let h(j) = -j + 9. Let z be h(9). Suppose z*u + 372 = 6*u. What is the remainder when u is divided by 17?
11
Calculate the remainder when 5/(160/968) - 1/4 is divided by 21.
9
What is the remainder when 61 is divided by ((-176)/(-66))/((-4)/(-6)) - -13?
10
Suppose -5*i + 41 = 2*a, 0 = -51*i + 46*i + 4*a + 53. Let o = -5 - 1. What is the remainder when i is divided by ((-3)/6)/(1/o)?
0
Suppose 0 = -17*y + 15*y, i + 5*y - 1090 = 0. Calculate the remainder when i is divided by 15.
10
Suppose 563*x - 4500 = 513*x. What is the remainder when 392 is divided by x?
32
Let p(a) = a + 16. Let k be 1/(3/(-27 + 0)). Let i be p(k). Let s = i + 10. Calculate the remainder when 67 is divided by s.
16
Let j(k) = 2*k**3 + 5*k**2 - 5*k - 6. Let v be j(-4). Let m = 14 + 35. Calculate the remainder when m is divided by (4/(-8))/(1/v).
15
Let t(k) = -17*k + 1. What is the remainder when (0 - -4) + 0 + 6 + 41 is divided by t(-1)?
15
Let c be (7/(-21) + 3)*3/4. Suppose -v + 5*w + 30 = 0, -c*v + 6*v - 120 = -4*w. Calculate the remainder when 87 is divided by v.
27
Let v be 73/3 - (-34)/51. Suppose 38*p - v = 37*p. What is the remainder when 73 is divided by p?
23
Let q(i) = -4*i + 3. What is the remainder when q(-5) is divided by 7?
2
Let x(a) = a**2 - 22*a + 146. What is the remainder when x(19) is divided by 40?
9
Suppose 5*j - 113 = -3*q + 7*q, j - 71 = 3*q. Let t be -1*(-1 - 1) + 45. Let k = q + t. What is the remainder when k is divided by 7?
4
Suppose 2*y = 2*g + 112, -276 = -5*y + 5*g - 2*g. What is the remainder when 321 is divided by y?
51
Let g(h) = h + 25. Suppose 14 = -0*n - n. Let k be g(n). Let y = k + 9