0
Suppose 8*g - 6*g - 18*p - 282 = 0, -561 = -5*g - 3*p. Calculate the remainder when 8093 is divided by g.
113
Suppose -4*a + 192 = -40. Let c = a + -35. Suppose -c*b + 26*b = 57. Calculate the remainder when b is divided by 12.
7
Suppose -9*w - 181 = -4*a - 12*w, -3*w - 139 = -4*a. Calculate the remainder when 176 is divided by a.
16
Let g(j) = -j**3 - 10*j**2 - 17*j + 12. Let q = 777 - 435. Suppose -4*s + q = 2*s. What is the remainder when s is divided by g(-8)?
17
Calculate the remainder when 609 is divided by (31 - 12 - 7) + 33.
24
Let y = -615 + 4741. Calculate the remainder when y is divided by 48.
46
Calculate the remainder when 115 is divided by 1350/60*64/24.
55
Let d(p) = 45*p**3 + 11*p**2 - 4*p + 6. Let s be d(2). Let o = 419 - s. Calculate the remainder when 135 is divided by o.
16
Let m(x) = -58*x - 59. What is the remainder when m(-6) is divided by 146/3 + 1/3?
44
Let q(k) = -6*k**2 + 58*k + 62. Calculate the remainder when 671 is divided by q(10).
41
Let a = -251 + 289. Let j = 5 + 1. Suppose 4*o + j = o, o - 58 = -3*c. Calculate the remainder when a is divided by c.
18
Suppose 4*q - 248 = 2*c - 40, 2*c = 5*q - 260. Suppose 78 = 3*x + h, 2*x - 7*h + 2*h = q. What is the remainder when x is divided by 6?
2
Let u = 937 + -878. What is the remainder when 453 is divided by u?
40
Let g = 170 - 269. Let i = g + 125. What is the remainder when 231 is divided by i?
23
Let n(k) be the first derivative of 18*k**2 - 53*k + 56. Calculate the remainder when -60*(-2)/(-16)*-10 is divided by n(2).
18
Let w(l) = 8*l**3 - 4*l**2 + 4*l - 165. What is the remainder when w(6) is divided by 110?
13
Let d(r) = 7*r**2 - 4*r - 5. Let m(c) = -6*c**2 + 4*c + 4. Let t(l) = -5*d(l) - 6*m(l). What is the remainder when 525 is divided by t(8)?
30
Suppose -81 = -0*i - i. What is the remainder when i is divided by 18/513 - (23562/(-1026) - -16)?
4
Suppose 45*m = 39*m + 36. Suppose 2*d = 3*i + 26, 4*i = -5*d + 2*i + 103. Let u = d + m. What is the remainder when u is divided by 14?
11
Suppose q - 9 = -m - 1, -3*m - 1 = -2*q. What is the remainder when 2759 is divided by q?
4
Suppose 42*k - 47*k + r + 1513 = 0, -2*k = 5*r - 616. Calculate the remainder when k is divided by 38.
37
Suppose 28*u - 24*u + 1376 = 3*o, -u = -1. Calculate the remainder when o is divided by 55.
20
Suppose -13*u + 443 = -259. Suppose -7*q = -10*q + u. What is the remainder when 394 is divided by q?
16
Suppose -2752 = 12*c - 37*c - 7*c. What is the remainder when 1631 is divided by c?
83
Suppose 164 = 2*p - 362. Let x = p + -255. Suppose s + 3*s + 8 = 0, d + s - 83 = 0. What is the remainder when d is divided by x?
5
Let h(y) = -y**3 + y**2 + y - 6. Let b be h(0). Let k(x) = -5*x + 7. Suppose m + 34 = 44. What is the remainder when k(b) is divided by m?
7
Let s be (-25 - -47) + 0/(-2 + 1). Suppose -27*c = -s*c - 50. Calculate the remainder when 12*(c/(-55) - (-37)/22) is divided by 7.
4
Suppose 5*o = 2*x - 6056, -4*o + 0*o = 4*x - 12000. Calculate the remainder when x is divided by 215.
213
What is the remainder when 140/20*494/7 is divided by 74?
50
Suppose -409*k = -398*k - 121. Calculate the remainder when 22988 is divided by k.
9
Suppose -3*h = -4*n - 75, 3*h + 6*n = 5*n + 105. Calculate the remainder when 117 is divided by h.
18
Suppose -3*v = -86 - 307. What is the remainder when v is divided by 24?
11
Suppose -84 = -4*n + g, 3*n - 63 = -39*g + 34*g. What is the remainder when 1208 is divided by n?
11
Suppose 96*o = -88*o + 178*o + 24. Calculate the remainder when 301 is divided by o.
1
Let a(k) = -k**3 - 5*k**2 + k - 19. Let c = -202 + 298. What is the remainder when c is divided by a(-6)?
8
Let k(w) = 139*w**2 - 969*w - 3. Let d = 71 - -300. What is the remainder when d is divided by k(7)?
21
Suppose -3*j = 8*j - 66. Suppose 520 = 26*d - j*d. Suppose -2*p + 1 = -309. Calculate the remainder when p is divided by d.
25
Suppose -37 - 30 = -5*d - b, -2*b - 10 = d. Let z = 136 + -96. What is the remainder when z is divided by d?
8
Suppose -28*o + 148 + 327 + 85 = 0. Let v(k) = -k + 85. Calculate the remainder when v(0) is divided by o.
5
Suppose -16*c - 8 = -12*c, 550 = 4*u - 5*c. What is the remainder when 2834 is divided by u?
134
Let n be 2/((-14)/3) - (-629)/259. Suppose n*i = -v - 19 + 58, 0 = 5*v - 5*i - 225. Calculate the remainder when v is divided by 15.
13
Let c = 115 + -112. Suppose 5*s = -5*n + 200, -n + c*s = -1 - 23. Calculate the remainder when 99 is divided by n.
27
Let v = -1616 - -1732. Let o = -30 + 48. What is the remainder when v is divided by o?
8
Suppose -9 + 55 = 2*v. Suppose 5*r - v*x - 5025 = -18*x, r - 985 = -4*x. What is the remainder when r is divided by 17?
15
Suppose 135564 = 50*f - 24286. What is the remainder when f is divided by 13?
12
Suppose -3*w - 5*x + 31 = 0, 4*w - 72 = x - 0*x. Let v(r) = -10*r**2 - r + 1. Let t be v(-1). Let j = t + 39. What is the remainder when j is divided by w?
14
Let m(a) = -2107*a - 11230. Calculate the remainder when m(-7) is divided by 20.
19
Let b = -12 - -13. Suppose 235 = 8*y + 67. What is the remainder when y is divided by (-160)/(-56) + b/7?
0
Let j = -18335 - -18507. Let p(a) = -2*a - 3. Calculate the remainder when j is divided by p(-5).
4
Let y be -3*3/18*-2. Let m be (y - 34/10) + 2/5. Calculate the remainder when (-1*(-1)/m)/(39/(-156)) is divided by 1.
0
Let w = 388 + -379. Suppose -10*z = w*z - 1083. Calculate the remainder when 57 is divided by z.
0
Let l(h) = -188*h + 8. Let o = -1957 + 2053. What is the remainder when l(-3) is divided by o?
92
Let d(y) = -5*y - 18. Calculate the remainder when 209/7 + 1665/777 is divided by d(-6).
8
Let p = -19931 - -19946. What is the remainder when 10738 is divided by p?
13
Let y be -3*(-3)/(-27)*(0 + 0). Suppose -3*o + 42*h - 40*h + 146 = y, -5*h = -o + 53. Calculate the remainder when 190 is divided by o.
46
Suppose w + 3*w = 5*z - 36, 5*z + 5*w = 0. What is the remainder when ((-15 - -5) + 3 - -6)*-4 is divided by z?
0
Let z be -1349*1/(-9) + 32/288. Suppose -23*v + z = -8*v. What is the remainder when 16 is divided by v?
6
Let m be (0 + 1)*(-8 - -11). Let w(d) = 8*d**2 - 20*d + 1. Let i(b) = 3*b - 4. Calculate the remainder when i(12) is divided by w(m).
6
Let d = 7 - 1. Let j(u) = 20*u - 12. Let f = -5 - -33. Calculate the remainder when j(d) is divided by f.
24
Suppose -q + 6*q + 15 = 4*l, q = 2*l - 9. Let y(a) = 5*a + 13. Calculate the remainder when y(l) is divided by 8.
6
Let p = -8 + -4. Let l be (-1*1)/(6/p). Suppose -c = l, -o + 44 = o - 2*c. What is the remainder when o is divided by 12?
8
Let h(z) = z**2 - 25*z - 42. Calculate the remainder when 86 is divided by h(28).
2
Let n(f) = -f**3 - 7*f**2 + 83*f - 20. Calculate the remainder when 185 is divided by n(5).
90
Let d = 474 + -414. What is the remainder when (-1614)/(-4)*(-60)/(-45) is divided by d?
58
Let q be (3/1)/(129/(-215)). What is the remainder when (q/((-25)/155))/1 is divided by 12?
7
Let y be -38 + 35 - 23*(-2)/1. Suppose -24*n + 5*z - y = -27*n, 2*n + z - 24 = 0. Calculate the remainder when 24 is divided by n.
2
Suppose -931*w = -948*w + 5491. Calculate the remainder when 971 is divided by w.
2
Let g(o) = 6*o**2 - o**3 + 5*o**2 + 3*o + 5 - 7 + 6 - 12*o**2. What is the remainder when 25 is divided by g(-3)?
12
Suppose -20 = -m - p, 0*m - 156 = -6*m + 3*p. Suppose 0 = 5*r - 213 - 242. What is the remainder when r is divided by m?
19
Suppose -380 = -2*s - u, -1124*s + 4*u - 398 = -1126*s. Calculate the remainder when 454 is divided by s.
80
Let u = 3976 - 3901. Calculate the remainder when 367 is divided by u.
67
Let u = 3074 - 2958. Calculate the remainder when 2894 is divided by u.
110
Suppose 5*r + 34 = -5*a - 46, 0 = -4*r + 4*a - 72. Let u = 28 + r. Let s(v) = -v**2 + 51*v + 241. Calculate the remainder when s(55) is divided by u.
10
Suppose 4*d = -19*d + 10558 - 6441. Calculate the remainder when d is divided by -2 + (2 + -234)/(-4).
11
Suppose t + 8*d = 52, -88 = -4*t - 71*d + 69*d. Calculate the remainder when 25858 is divided by t.
18
Let w be 4/(5 + -13)*-174 - 0. Suppose 0 = -5*t + 2*l - 111, -t + 3*t + 4*l = -30. Calculate the remainder when ((-28)/t)/(1/w) is divided by 17.
14
Let p(a) = -11*a. Let b be p(-4). Let d = b + -15. Suppose -d + 7 = -h. What is the remainder when h 