 = -k + 8. Suppose 5*a - 10 = -0. Calculate the remainder when a is divided by z(6).
0
Suppose 5*a + 45 = -5*s + 210, -30 = -a + 2*s. Suppose -a = -5*k + 3*y, -4*k = 4*y + 3 - 35. What is the remainder when 10 is divided by k?
3
Suppose -4*s - 10 = -4*j - j, 8 = -2*j + 4*s. Suppose 197 - 1703 = -j*o. Calculate the remainder when o is divided by 21.
20
Suppose 2*i - 25 = 13. Let h = -6 + i. Let k = -33228 - -33233. Calculate the remainder when h is divided by k.
3
Suppose 5*p - 27 = 23 + 20. What is the remainder when 1971 is divided by p?
11
Let a(d) = -10*d**2 + 139*d - 110. What is the remainder when a(12) is divided by 9?
1
Let g(p) = p**3 + 34*p**2 + 16*p + 80. Let d be g(-33). Suppose 98 = -634*o + d*o. Calculate the remainder when o is divided by 6.
2
Suppose -3*t = 3*x, -3*t - 1 = 2. Let b(h) = -11*h. Let c(d) = 11*d. Let f(l) = -6*b(l) - 4*c(l). Calculate the remainder when 41 is divided by f(x).
19
Let k(y) = -y**2 - 11*y + 68. Let r be k(-15). Suppose -770 = -27*n - r*n. What is the remainder when 81 is divided by n?
15
Suppose m - 4 = 0, 3*x = x - 3*m + 58. Let f = 138 - 27. Calculate the remainder when f is divided by x.
19
Let m be 35/(-28)*(-24 - 0). Suppose -m*b = -33*b + 63. Calculate the remainder when 96 is divided by b.
12
Suppose -m + 122 = h, -5*h - 2*m + 465 + 148 = 0. What is the remainder when h is divided by 42?
39
Let p = 7 - -12. Calculate the remainder when (-18)/15*(-59 + 19) is divided by p.
10
Suppose 0*t = -2*t + 22. Suppose -302*u = -11740 - 642. What is the remainder when u is divided by t?
8
Let h = -421 - -422. Suppose -9 = -5*w + h. Calculate the remainder when 17 is divided by w.
1
Suppose -28*v = -25*v - 18. Calculate the remainder when (2/10)/(10/25)*50 is divided by v.
1
Let s = 184 + -34. Calculate the remainder when s is divided by (-147)/(-3) + 4 + -2.
48
Suppose -v + 2 = i - 31, 4*v = 4*i - 164. Let y(x) = x**2 - 146*x + 2773. What is the remainder when y(124) is divided by i?
8
Suppose 0 = 5*z + 20, -2*z + 417 = 3*y + 32. What is the remainder when y is divided by 20?
11
Let o(j) = -88*j - 2122. Calculate the remainder when o(-29) is divided by 109.
103
Suppose 17*g = 14*g - 3*k + 501, -21 = -3*k. What is the remainder when 289 is divided by g?
129
Let a(v) = -2*v**3 - 21*v**2 - 15*v + 7. Let i be a(-10). Let g = i - -3. Calculate the remainder when g is divided by ((-9)/5)/((-3)/15).
6
Let a = 65 + -11. Suppose 4*i = 6*z - 10*z + 32, 4*z - 5*i + 13 = 0. Suppose -z*n = 15 - 57. What is the remainder when a is divided by n?
12
Let i = -11392 + 11662. Calculate the remainder when i is divided by 66.
6
Suppose 4*n + 4 = 4*u, 37*u - 39*u = -16. Let r(d) = -d - 2. Let y be r(-5). Let b(l) = -l**2 + 3*l + 4. What is the remainder when n is divided by b(y)?
3
Suppose -15 = 34*i - 35*i. Let h be -5*(-4)/4*1. Suppose 0 = -3*n + 3*u + 141, -h*n + 138 = -2*n - 2*u. Calculate the remainder when n is divided by i.
14
Let a = 65 + -65. Suppose 155 = -4*m + x, -2*m + a*m = -5*x + 73. What is the remainder when 170 is divided by (-1683)/m - 18/117?
41
Let l(k) = -2*k**3 + 55*k**2 + 79*k + 306. What is the remainder when 750 is divided by l(29)?
10
Let f(w) = 5*w**2 + 50 + 87*w - 3*w**2 - 1 - 90*w. What is the remainder when f(8) is divided by 42?
27
Let q(i) = 3239*i + 276. Calculate the remainder when q(2) is divided by 31.
27
Let r(j) be the third derivative of -j**4/3 + 11*j**3/6 - 9*j**2. Let z be ((-36)/30)/(2/15). Calculate the remainder when r(z) is divided by 43.
40
Let w = 719 - 559. What is the remainder when (896/w)/(2/10) is divided by ((-1)/2)/(3/(-12))?
0
Let t(c) = 5*c**2 + 7*c - 14. What is the remainder when t(11) is divided by 113?
103
Suppose -8*k + 68 + 220 = 0. Let s(b) = -18*b**3 + 3*b + 2. Let q be s(-1). Suppose l = y - 2*l - q, 0 = 4*l + 12. What is the remainder when k is divided by y?
4
Let x be 5 + (-36)/9 + 54. Suppose -38*v - 1513 = -x*v. Calculate the remainder when 104 is divided by v.
15
Let v = -6117 + 6545. Calculate the remainder when v is divided by 10.
8
Suppose -118*k + 116*k + 3196 = 2*t, 0 = -5*t + 2*k + 7948. Calculate the remainder when t is divided by 55.
52
Let m(y) be the first derivative of 3*y**2/2 - 13*y + 2. Calculate the remainder when 107 is divided by m(15).
11
Calculate the remainder when 194/2 + -1 - ((-7 - 1) + 10) is divided by 19.
18
Let v(p) = -p**2 + 179*p + 3116. Calculate the remainder when v(-15) is divided by 80.
46
Suppose -9*x + 482 = -589 + 306. What is the remainder when 7649 is divided by x?
84
Suppose 0 = 5*f - 2*r + 433, -f - 83 = -r - 3*r. Let b = 165 - 76. What is the remainder when b is divided by (-10)/(-8) + f/(-4)?
20
Let l = 36 + 10. Let m = -1029 - -1256. What is the remainder when m is divided by l?
43
Suppose -133 = -32*b + 561 + 426. What is the remainder when -1 + (38 - (0 - -1)) is divided by b?
1
Let c = 348 + -339. Calculate the remainder when (-8 - 76)*c/(-6) is divided by 4.
2
Let d be ((-12)/(-1) - 1) + -5 + -967. Let t = -944 - d. Calculate the remainder when 20 is divided by t.
3
Suppose 5*x = -3*h + 5314, -2 - 4 = 3*h. Calculate the remainder when x is divided by 338.
50
Let s = -74 + 83. Let c be 41/(4 - (1 + (2 - 0))). Let n = 44 - c. Calculate the remainder when s is divided by n.
0
Suppose u - 628 - 574 = 3*s, 2*s = 3*u - 3564. What is the remainder when u is divided by 22?
18
What is the remainder when 2778/4 - ((-2)/(-10))/(2/15) is divided by 112?
21
Suppose 18*g - 2 = 17*g. Suppose g*s = -s + 4*s. Let n = s + 23. What is the remainder when 66 is divided by n?
20
Suppose -357 = -352*o + 345*o. Suppose o*j - 234 = 45*j. Let w = -50 + 71. What is the remainder when j is divided by w?
18
Let z be ((-44)/(-12))/11 + (-5)/(-3). Suppose 0 = 3*k + 5*n + 10, -3*n - 8 + z = 0. Let b = k + 38. Calculate the remainder when 113 is divided by b.
37
Let l(z) = -z**3 + 60*z**2 - 3*z + 198. What is the remainder when 287 is divided by l(60)?
17
Let z(i) = -26*i - 149. Let d(n) = -55*n - 297. Let r(h) = -4*d(h) + 9*z(h). What is the remainder when r(-16) is divided by 36?
35
Let r = -928 - -454. Let t = -407 - r. Calculate the remainder when t is divided by 24.
19
Suppose 0*s + k = 3*s - 12, -5*s = -5*k - 20. Let h(i) = 5*i**2 + 5*i + 8. Calculate the remainder when h(s) is divided by 47.
14
Let x(l) = l**2 + 11. Suppose -2*j - t = -8 - 27, 13 = j + 5*t. What is the remainder when j is divided by x(0)?
7
Let c(r) = -8*r + 97. Let m be c(11). Suppose -381 = -m*a + 51. What is the remainder when 92 is divided by a?
44
Let i be (1/(-1))/((-1)/5). Suppose -2*c = i*s + 19, 3*c - s = -0*c - 20. Let k(z) = -z**2 - 7*z + 8. What is the remainder when 38 is divided by k(c)?
6
Let j(f) = 29*f + 282. Calculate the remainder when j(-9) is divided by 6.
3
Let p = 9237 + -9172. Calculate the remainder when p is divided by 65.
0
Let y(c) = 5*c - 31. Let z be y(7). Suppose -984 = -z*t - 720. What is the remainder when 327 is divided by t?
63
Let i(u) = u**2 + 10. Let d be i(0). Let x = 21 - d. Calculate the remainder when (-6 + 69/12)*0 - (-41 + 2) is divided by x.
6
Let g be (-2 - -6 - 0/(-7)) + -2. Suppose -4*j + 191 = -j + g*n, -3*j = -5*n - 184. Calculate the remainder when j is divided by 22.
19
Let i = -551 + 261. Suppose w = -2*k + 34, k - 3*k - 38 = -2*w. Calculate the remainder when (i/(-3))/(-5)*(-72)/16 is divided by w.
15
Let g(p) = 2*p + 43. Let h = -6562 + 6587. Calculate the remainder when h is divided by g(-17).
7
Let v(d) = -68*d + 52. Let c be v(7). What is the remainder when 1/(-8) + (-71285)/c is divided by 17?
15
Let z = 77 - 17. Let d be (18/10)/(z/200). Suppose 0 = x + 4, d*k + 2*x = 4*k + 90. What is the remainder when k is divided by 19?
11
Suppose 29*d - 164 = 9*d + 116. Suppose -45 - 3 = -3*c. Calculate the remainder when c is divided by d.
2
Let y(a) = 46*a - 1137. What is the remainder when 843 is divided by y(25)?
11
Suppose 1066 = 7*y - 796. What is the remainder when y is divided by 68?
62
Suppose 0 = -4*k + 2*i - 15 + 57, -2*i = k - 23. Suppose -10907 + 10675 = -2*x. What is the remainder when x is divided by k?
12
Suppose -8*v = 2*d - 6*d + 19388, -3*v = -4*d + 19408. What is the remainder when d is divided by 1616?
7
Let f = 20 + 5. Calculate the remainder when f is divided by -10 + 9248/918 - 698/(-54).
12
Le