. What is the remainder when w is divided by 8?
6
Let s = 3 + -1. Suppose s*y - 4*y = 0. Calculate the remainder when (1*-41)/(-1 + y) is divided by 11.
8
Suppose -4*l + x - 85 = -2*l, 0 = x + 3. Calculate the remainder when (-4 + l/10)*-5 is divided by 22.
20
Let v(s) = -160*s - 41. Calculate the remainder when v(-3) is divided by 34.
31
Let u be -3 + (3 - 2) - -7. Suppose u*o - 12 = 3*o. Suppose 339 = 127*m - 677. What is the remainder when m is divided by o?
2
Let d(v) = -4*v + 70. Let k be d(47). Suppose 0*n - 2*n + 4*m = -372, -n - 3*m + 161 = 0. Let b = n + k. What is the remainder when b is divided by 16?
10
Let n = -138 + 98. Let k = n + 89. What is the remainder when k is divided by -2*(-15)/(-10) - (-2 + -14)?
10
Let x(v) = v**3 - 11*v**2 + 16*v - 14. What is the remainder when x(10) is divided by 26?
20
Let p be (-27)/18*(-16)/6. Suppose -3*i + 3 = p*j - j, 3*i = j - 9. Suppose -2*l + 37 = j. What is the remainder when l is divided by 4?
1
Let g(c) = 7*c**2 - 23*c + 152. Calculate the remainder when g(7) is divided by 48.
46
Let r(t) = t**3 + 55*t**2 + 290*t - 7. Let n = -26 + 58. Calculate the remainder when n is divided by r(-6).
15
Let t = 42 - -16. Suppose -2*f = t - 266. Calculate the remainder when f is divided by 35.
34
Let n(t) = -7*t - 6. What is the remainder when 130 is divided by n(-4)?
20
Suppose -u + 0 = -5. Suppose u*n = -11 - 14, -l = 3*n - 12. Suppose -3*v + 20 = -v. What is the remainder when l is divided by v?
7
Let j = 769 - 730. Calculate the remainder when 281 is divided by j.
8
Calculate the remainder when 384 is divided by 2*(-13)/(260/(-430)).
40
Let o = -18 + 52. Suppose o + 41 = 5*s. Suppose 0 = -4*y - 4*l + 305 - 113, 0 = -2*y + 5*l + 61. Calculate the remainder when y is divided by s.
13
Suppose 0 = -43*x - 1259 + 3968. Calculate the remainder when x is divided by 32.
31
Let t(v) = 3*v**2 - 141*v + 94. Calculate the remainder when t(49) is divided by 13.
11
Let m(y) = y**3 - 5*y**2 - 10*y + 73. Calculate the remainder when 288 is divided by m(4).
16
Let w be 7/((-28)/(-8)) + 15. Let r = w - -3. Calculate the remainder when 77 is divided by r.
17
Suppose -152 + 516 = -7*i. Let h = i + 75. What is the remainder when 45 is divided by h?
22
Suppose 4*v - 20 = -7*o + 3*o, 2*v + 8 = o. Suppose -46 = -o*w + 68. What is the remainder when 130 is divided by w?
16
Let m(j) = j**3 - 12*j**2 + 14*j. Suppose -5*n = 16 - 1. Let x(a) = -a**2 + a. Let q(u) = n*x(u) + m(u). Calculate the remainder when 93 is divided by q(8).
21
Let r = -13 - -35. Let o = r + 46. Calculate the remainder when o is divided by 9.
5
Suppose 432 = 9*d - 288. Calculate the remainder when d is divided by 23.
11
Let i = -25 - -5. Let g = i - -25. What is the remainder when g is divided by 4?
1
Let i = -516 - -591. Calculate the remainder when i is divided by 38.
37
Suppose 446 = 7*y - 807. What is the remainder when y is divided by 30?
29
Calculate the remainder when (-2833)/(-21) + 6/63 is divided by 42.
9
Let f = 168 + -96. Calculate the remainder when f is divided by 2 + 11 + 7 + -7.
7
Let c(g) = 2*g**2 + 2*g - 14. Let y(j) = -j**2 - j + 7. Let l(x) = -6*c(x) - 13*y(x). What is the remainder when 89 is divided by l(-6)?
20
Let d = -10 - -14. Suppose 2 - d = h, -5*h = 3*a - 416. What is the remainder when a is divided by 18?
16
Suppose -4*m + 75 = -m. Let x be 1*2 - (-29 - 4)/3. Let l = m - x. What is the remainder when 45 is divided by l?
9
Let l = 1619 - 1528. What is the remainder when l is divided by 51?
40
Let v = -2092 - -2541. What is the remainder when v is divided by 21?
8
Let p = 1 + 2. Let s = p - -55. Suppose -a + 6*a + 3*h = 90, 3*h = a. Calculate the remainder when s is divided by a.
13
Let g(s) be the third derivative of s**6/120 + 3*s**5/20 + s**4/4 - s**3/2 - 17*s**2. Calculate the remainder when g(-7) is divided by 14.
11
Suppose 2*s - 178 = 3*h - 4, 3*h - 231 = -3*s. What is the remainder when 402 is divided by s?
78
Suppose -3*w + 10 - 1 = 0. Let u(t) = t + 1. What is the remainder when u(4) is divided by w?
2
Suppose 77 = 4*w - 3*o, 6*o = 5*w + 5*o - 88. Suppose 5 = 3*k + 38. Let n = w + k. Calculate the remainder when 35 is divided by n.
5
Suppose j = 3*i + 118, 14*j - 16*j = 5*i - 225. What is the remainder when 916 is divided by j?
111
Let r = -38 - -37. Let m be (-2 + -5)/(r - 0). Suppose -2*z = -m*z + 10. What is the remainder when 3 is divided by z?
1
Suppose -o + 2*o = 16. Suppose -3*r - 30 = -4*b, -r = 2*b + b - o. Suppose -2 = -b*f + 4. Calculate the remainder when f is divided by 1.
0
Let p = -7 - -7. Suppose p = -0*n - 4*n - 100. Let q = -11 - n. What is the remainder when 41 is divided by q?
13
Let d(b) = 79*b - 612. Suppose -2*s + 192 = 2*n, -2*s + 291 = 4*n - n. Calculate the remainder when n is divided by d(8).
19
Let o be (-2)/(-6) - (-414)/54. Calculate the remainder when 47 is divided by (o - (-50)/15) + 8/(-6).
7
Suppose 25*i - 12 = 21*i. Suppose 5*l - 91 = 4*w, -5*l + i*w + 128 = 41. What is the remainder when l is divided by 4?
3
Suppose 3*c - 8 = 10. Let f(l) = -l**3 + 14*l**2 - 33*l + 8. Calculate the remainder when f(11) is divided by c.
2
Let p = -51 - -69. Suppose -165 = -w + 45. Suppose -u + w = 2*u. Calculate the remainder when u is divided by p.
16
Suppose 3*z = -6, 4*z = 6*d - 2*d + 136. Let t = -25 - d. What is the remainder when 30 is divided by t?
8
Let w = -289 - -306. Calculate the remainder when 23 is divided by w.
6
Suppose -4*f + 2*f = 0. Suppose f = 2*c - 5*s + 61, 4*c + s - 6*s = -117. What is the remainder when 40 is divided by -4 - (c - (-5 + 2))?
19
Suppose 141*y = 144*y - 216. Let q = 25 - 6. What is the remainder when y is divided by q?
15
Let d = 52 - 48. Suppose -14*p + d*p + 330 = 0. What is the remainder when 62 is divided by p?
29
Let v(x) = 4*x**3 - 5*x**2 + 7. Let j be 2/4*-1*-10. Let z be v(j). What is the remainder when z/6 - 3/(-9) is divided by 13?
12
Suppose 3*x = -31*r + 36*r + 167, 0 = -2*r - 8. What is the remainder when 241 is divided by x?
45
Let t(l) = 16*l - 7. Let f be t(4). Let i(r) = -6*r + f*r**3 + r + 4*r + 1. Calculate the remainder when i(1) is divided by 20.
17
Let a = -109 + 113. Suppose 0 = 2*o - 6, -m + 4*o = 2*o - a. Let n(x) = x**3 + x**2 + 27. What is the remainder when n(0) is divided by m?
7
Let j(z) = -z**2 - 46*z - 268. Calculate the remainder when j(-36) is divided by 27.
11
Suppose -116*r = -111*r - 770. What is the remainder when r is divided by 31?
30
Let i(n) = -2 + n**2 - 4*n + 0 - 1. What is the remainder when 69 is divided by i(-3)?
15
Suppose 90 = 5*c - 3*m, 6*c = 3*c - 3*m + 30. Let h = 985 + -942. Calculate the remainder when h is divided by c.
13
Suppose 3*c = -26 + 95. Let b be ((-2)/(-5))/(4/120). Let r = b - 4. Calculate the remainder when c is divided by r.
7
Let z = -74 - -93. Let u = 31 + z. What is the remainder when 296 is divided by u?
46
Let l = 2776 + -1791. What is the remainder when l is divided by 9?
4
Suppose -5*k = -8*k + 5*q + 285, -3*q = 5*k - 475. Calculate the remainder when k is divided by 14.
11
Suppose 0 = -3*c - 14*c + 10166. Calculate the remainder when c is divided by 60.
58
Suppose -24*z - 1848 = -6960. What is the remainder when z is divided by 55?
48
Suppose -3*v + 6 = -0*v. Suppose -v*p + 6 + 44 = 0. Calculate the remainder when p is divided by 9*(-1 + 3 - (-6 + 7)).
7
Calculate the remainder when 32 is divided by (3 - 81/18)/(6/(-4)).
0
Let l(p) = -3*p**2 - 2*p**2 + 5*p**2 - 58 - p**2 - 25*p. Calculate the remainder when l(-19) is divided by 12.
8
Suppose -2789*m + 158 = -2787*m. What is the remainder when 89 is divided by m?
10
Suppose -5*x + 158 = 63. What is the remainder when (2 - -66) + (30/(-3))/(-2) is divided by x?
16
Calculate the remainder when 29008/294 - 4/6 is divided by 58.
40
Suppose j = 3*p + 3, 0*p - 19 = -j - p. Suppose -12*h + 20*h = 616. Suppose 3*q + h = 3*w - 34, 47 = w + q. What is the remainder when w is divided by j?
12
Suppose -2*m + 17 = p, 39 = 4*m - m - 3*p. Suppose 0 = -14*r + 2*r + 336. What is the remainder when r is divided by m?
8
Suppose -5*f + 220 = -0*f. Let a = -403 + 418. Calculate the remainder when f is divided by a.
14
What is the remainder when 28/21 + 1255/15 is divided by 4?
1
Suppose -3*o = -0*o - 30. Let w(i) = i**3 - 2*i**2 + i - 43. Let h be w(0). 