en k is divided by w(41)?
2
Suppose -68 = -2*b - 2*h, -10*b + 0*h + 318 = -h. Calculate the remainder when 142 is divided by b.
14
Let b = -7868 - -8649. What is the remainder when b is divided by 34?
33
Let u(p) = -5*p**3 + 495*p**2 + 516*p + 171. Calculate the remainder when u(100) is divided by 37.
32
Suppose 0 = 2*a + 2, 4*n + 52 = -5*a + 5947. Calculate the remainder when n is divided by 732.
11
Suppose -2023 = -29*b + 94. Suppose 3*z = 5*r + b, 2*r + 133 = 5*z + 5*r. What is the remainder when 82 is divided by z?
4
Let t = -116 + 231. Calculate the remainder when 862 is divided by t.
57
Let j(v) = -v**3 + 3*v**2 + 42*v + 23. What is the remainder when j(-6) is divided by 34?
27
Let l(c) = c**3 - 14*c**2 - 33*c + 175. What is the remainder when l(16) is divided by 92?
67
Suppose -3062 + 2713 = -4*u - v, 2*v - 75 = -u. What is the remainder when 320 is divided by u?
53
Suppose -2*x + 37 = -89. Let v = 828 - 805. Suppose v*t = 22*t + 33. What is the remainder when x is divided by t?
30
Let n = 7688 + -7382. Calculate the remainder when n is divided by 61.
1
Let m = -575 - -574. Calculate the remainder when m + -2 + 0 + (-18 - -201) is divided by 46.
42
Let f(i) = -29*i + 2154. Let k be f(74). Let m(s) = 2*s**2 - 4*s + 2. Let u be m(2). Suppose u*v + 2*v = k. Calculate the remainder when 17 is divided by v.
1
Let m = 103530 + -103523. Suppose t - 3 = -0. Let r(z) = 3*z**2 - 3*z - 4. Calculate the remainder when r(t) is divided by m.
0
Let v = 20 - 11. Suppose 0 = 4*a - v*a + 350. Calculate the remainder when a is divided by (444/(-4)*(-3)/(-9))/(-1).
33
Let y(o) = 42*o + 9. Let z be y(2). Suppose 4*q = -8 + 4, 2*s - q - z = 0. Calculate the remainder when s is divided by 21.
4
Let v(n) = -n**2 - 10*n + 27. Let h be (-2 + 1)/((-7)/(-77)). Let c be v(h). Suppose -c*p = -14*p - 12. Calculate the remainder when 65 is divided by p.
5
What is the remainder when 225 is divided by 420/1155*(-781)/(-2)?
83
Let t = 22524 + -22502. What is the remainder when 12536 is divided by t?
18
Let f = 36 + -37. Calculate the remainder when 52 is divided by f*(-9 - 0) + (-30)/10.
4
Let q = -10223 + 11482. Calculate the remainder when q is divided by 24.
11
Suppose -705 = -5*r - 5*t, -122*t + 123*t = -2*r + 278. Calculate the remainder when 9586 is divided by r.
133
Suppose 3*t = -658 + 664. What is the remainder when 52 is divided by t?
0
Calculate the remainder when 120 + (-11)/((-44)/(-8)) is divided by 40.
38
Let b(m) = 4*m**2 - 4*m - 1. What is the remainder when 83*3/6 + 1260/504 is divided by b(3)?
21
Let i = 10543 + -10490. What is the remainder when 7364 is divided by i?
50
Suppose -2*r - t + 60 = 0, 3*r + 2*t = -3*t + 104. What is the remainder when (58/40 + (-15)/75)*312 is divided by r?
26
Let f(a) = 972*a - 2719. What is the remainder when f(6) is divided by 89?
87
Suppose -3*q = -10*q + 385. Suppose 0 = -5*b - 3*c + q, 3*c = -2*b + 4*c + 33. Calculate the remainder when 47 is divided by b.
5
Suppose 22*v - 58*v + 2450 = 14*v. Calculate the remainder when 801 is divided by v.
17
Suppose 0 = 7*n - 62 + 76. Calculate the remainder when -1653*n/15 + (-2)/5 is divided by 78.
64
Suppose -4*r = -2*p + r - 20, 0 = p - r + 13. Calculate the remainder when (7488/90)/((3/(-1))/p) is divided by 22.
20
Suppose -5*s + 0*j + 415 = 5*j, 81 = s + 2*j. What is the remainder when 1015 is divided by s?
80
What is the remainder when 217 is divided by 6/9 + 10/(150/3215)?
2
Let i(d) = 24*d - 1017. What is the remainder when i(46) is divided by (-2)/(-8) - 70/(-8)?
6
Suppose -4*q + 128 = 2*g, -401 = -q - 4*g - 362. What is the remainder when 447 is divided by q?
13
What is the remainder when (6/8 - 3/4*1) + 1059 is divided by 77?
58
What is the remainder when 548/8 - 12/(-8) is divided by 1*4 + 1176/49?
14
Let q(y) be the second derivative of y**3/3 + 4*y**2 - 40*y. Calculate the remainder when q(0) is divided by (-5 - 1)/(-2) - 0.
2
Let d(h) = h**2 + h + 25. Let l be d(0). Suppose 0*m + 350 = l*m. What is the remainder when 69 is divided by m?
13
Suppose 3*r + 305 = c + 5*r, 0 = -5*c + 4*r + 1581. Let z = c - 220. What is the remainder when z is divided by 24?
21
Let r be (120/(-75))/(1/(-715)). Suppose -3*o + 5*t = -r, -4*t + 0*t = -o + 372. What is the remainder when o is divided by 14?
10
Let m = 29 - 12. Let k = -129 - -132. Suppose -k*w = -32 + 2. What is the remainder when m is divided by w?
7
Suppose -25*r = -27*r + 3*x + 51, -2*r - x = -55. Calculate the remainder when 344 is divided by r.
20
Suppose i = 5*v + 24, 3*i = 2*i - 3*v - 8. Let q = 921 - 907. Calculate the remainder when q is divided by i.
2
Calculate the remainder when 506728/291 - ((-6)/(-9))/2 is divided by 16.
13
Suppose 0 = 2739*j - 2760*j + 1092. What is the remainder when 1403 is divided by j?
51
Suppose 6*c - 21 = -c. Suppose -3*z - 54 = v - 3*v, -5*z = -c*v + 82. Let j(g) = -g**3 + 8*g**2 + 2*g + 7. Calculate the remainder when j(7) is divided by v.
22
Suppose -5*m = 161*n - 165*n - 262, 2*m + 5*n - 85 = 0. Calculate the remainder when 1511 is divided by m.
11
Suppose 6*j - 7 = 29. Suppose 2*p = 12 - j. Suppose 0 = p*u + 27 - 66. What is the remainder when 63 is divided by u?
11
What is the remainder when 727 + 2/((-427)/63 - -7) is divided by 123?
121
Suppose -2*a + 144 = -0*a. Suppose -3*l = 36, -56*k - 4*l = -59*k + 25 + 80. What is the remainder when a is divided by k?
15
Let w = 2773 + -2707. Calculate the remainder when w is divided by 60.
6
Calculate the remainder when (0 - (-116)/8)/(-1 + (-81)/(-78)) is divided by 32.
25
Let h be 73*(2 + -1) - 3/3. Let u = h - 59. Let m(r) = r + 45. Calculate the remainder when m(u) is divided by 5.
3
Let v = 18871 + -18777. Let z = 3 - -5. What is the remainder when v is divided by z?
6
What is the remainder when ((-30645)/(-75))/((-756)/(-245) + -3) is divided by 39?
9
Let l = -13832 + 14430. Calculate the remainder when l is divided by 5.
3
Let r(n) = n**2 - 58*n - 4029. What is the remainder when 444 is divided by r(-41)?
24
Suppose 0 = -17*z + 230 + 603. Calculate the remainder when 181 is divided by z.
34
Suppose -17087 = -24*f - 31*f - 2402. What is the remainder when f is divided by 16?
11
Let d(r) = -2*r**3 - 4*r**2 - 2*r + 4. Let x be d(-2). Suppose -3*h + x*h - 53 = -4*c, h + 20 = c. Calculate the remainder when 79 is divided by c.
11
Suppose -t + 205 = 197. Let s(o) = 2*o**3 - 2*o**2 + o + 38. Calculate the remainder when s(0) is divided by t.
6
Let b(n) = 8*n + 2. Suppose 25*w - 3450 = 3258 + 2317. What is the remainder when w is divided by b(3)?
23
Suppose -1 - 5 = -2*i. Suppose -2*l = 5*h - 35, -2*l + 0*h + 45 = i*h. Let j = l - 24. Calculate the remainder when 17 is divided by j.
5
Suppose -y - 410 = -38*i, 1637*i - 1635*i - 62 = -5*y. What is the remainder when 1/((-2)/(-72)*2) is divided by i?
7
Let w = 289 + -286. Suppose -10*d + 12*d + w*y = 49, -4*y = -3*d + 31. What is the remainder when d is divided by 8?
1
Let q(t) be the second derivative of t**5/10 + 5*t**4/3 + t**3 - 3*t**2 + 13*t. Let n be q(-9). Let s = n - 71. What is the remainder when 60 is divided by s?
29
Suppose 0 = l - 3 - 7. Suppose u + 9 = -431*c + 435*c, -5*c + u = -11. Calculate the remainder when l is divided by c.
0
Let r(v) = -v**2 + 21*v - 65. Let g be r(17). Suppose 2*w + g - 117 = -4*k, -20 = 4*k. Calculate the remainder when w is divided by 17.
16
Let b(c) = -157*c - 57. Let w be b(-5). Let d = w - 525. Calculate the remainder when d is divided by 64.
11
Let i(u) = 126 - u - u**2 - 160 + 15*u. Calculate the remainder when 27 is divided by i(8).
13
Suppose -5*a + 24794 = 3*s, 19873 = 4*a + 24*s - 27*s. What is the remainder when a is divided by 708?
7
Suppose -414 = -c - 3*d, -9*c + 7*c - 4*d = -822. Let l = c + -395. What is the remainder when 29 is divided by l?
9
Let k be 3/(-6)*-4 - (37 - 27). Suppose -85 = -b - 4*b. What is the remainder when -1 - -54 - (4 - 6 - k) is divided by b?
13
Suppose -11*r - 5*s = -8*r + 4, 8 = 3*r - s. Suppose -5*g = 4*n - 12, 8 = -r*g - 5*n + 6. Calculate the remainder when 17 is divided by g.
1
Suppose 101*k - 1551 = 68*k. What is the remainder when 515 is divided by k?
45
Let m = 14273 - 13998. What is the remainder when m is divided by 156?
119
Let p(k) = 88*k + 77. Let w be p(7). Let r = 720 - w. Calculate the remai