m be d(3). Calculate the remainder when 67 is divided by (-3 - m)/(2/r).
16
Suppose i - 102 = 5*z, -i + 17*z - 19*z = -130. Let o = -39 + i. Calculate the remainder when o is divided by 31.
21
Let m(n) = -35*n**3 - n**2 + 4*n + 8. Let g be m(-2). Let u = g - 262. What is the remainder when u is divided by 3?
2
Suppose 224 = 3*o - 5*a - 127, 109 = o + a. What is the remainder when o is divided by 36 + 0*(3 - 4)?
4
Let x = 70 - 32. Suppose 0*t - 210 = 5*t - 5*j, 0 = t - 2*j + x. Let v = -29 - t. What is the remainder when v is divided by 9?
8
Suppose -16 - 32 = 12*w. Let f = 253 - 587. Calculate the remainder when f/w - 2/(-4) is divided by 43.
41
Suppose 3*g = -3*t + 15, -4*g + 14 = t - 3. Suppose g*j + 140 = 18*j. What is the remainder when 18 is divided by j?
8
Suppose r = -2*r + 39. Suppose 4*m - 42 = 11*m. Calculate the remainder when r is divided by 1 + 10/(-15)*m/4.
1
Let z = -37001 - -37024. What is the remainder when 1/(0 + 1/37) is divided by z?
14
Let c(g) = g**2 - g - 37. Suppose 33 = -3*x - 60. Let f = -16 - x. What is the remainder when c(-10) is divided by f?
13
What is the remainder when (5 - -7) + -24 - (-2239 - -2) is divided by 116?
21
Let a be (-5)/(-2)*(-9120)/80. Let g = a - -317. Calculate the remainder when 221 is divided by g.
29
Suppose -556 = 2*f - 560. Calculate the remainder when -5 - (1 + f + -107) is divided by 6.
3
Let q = -1048 - -1059. What is the remainder when 30 is divided by q?
8
Let s(f) = f**3 - 6*f**2 + 2*f + 24. Suppose -16*u - 7*u = -21*u. Calculate the remainder when s(u) is divided by 1/((-2)/4) - -16.
10
Let p(v) = -v**3 - 12*v**2 + 4*v + 15. Let a(u) = 2*u**2 - 57*u - 168. Let t be a(31). Calculate the remainder when p(t) is divided by 39.
15
Let h = 662 + -636. Calculate the remainder when 415 is divided by h.
25
Let n(f) = -f**3 + 14*f**2 - 83*f + 920. What is the remainder when 423 is divided by n(13)?
3
Suppose 13 = 5*z - 62. Let l(v) = 11*v**2 - 4*v + 13 - 1 - 7. What is the remainder when l(2) is divided by z?
11
Let c(h) = -3*h**2 + 22*h + 1. Let o(l) = -7*l**2 + 45*l + 1. Let w(p) = -9*c(p) + 4*o(p). What is the remainder when w(-9) is divided by 13?
11
Suppose 4*p + 768 = 8*p. Suppose -p = -14*q + 8*q. What is the remainder when 80 is divided by q?
16
Suppose 598 = 30*g - 17*g. Suppose g = -4*w + 66. Calculate the remainder when 193 is divided by w.
3
Suppose 56*b - 12115 = 1829. Suppose -6*c + 12 = 2*x - 7*c, -6 = -x + 3*c. What is the remainder when b is divided by x?
3
Let n be 98/7*(-4)/(-14). Suppose -10*s + 5*z = -6*s - 118, -n*z + 73 = 3*s. What is the remainder when 157 is divided by s?
22
Suppose 5*r - 3*m - 148 = 0, -2*m - 118 = r - 5*r. Suppose -89*b - 13560 = -93*b. Suppose -66*v - 156 = -b. Calculate the remainder when v is divided by r.
20
Suppose -42*b = -6128 - 4204. Suppose -5*n - s = -822, -2*n = -2*s - 334 + 10. Let d = b - n. What is the remainder when d is divided by 21?
19
Let i(v) = -5 + 2*v - 29*v**3 - 15*v**3 + 2*v**2 + 0*v**2. Let h be i(-2). Suppose h = 49*j - 46*j. Calculate the remainder when j is divided by 30.
27
Suppose 0 = -4*r - 2*n + 130, -3*r + n - 2 = -107. Suppose -2 = 5*p - 32. Calculate the remainder when r is divided by p/18 - (-40)/6.
6
Let i(m) = -11*m + 21. Let g(c) = 13*c - 20. Let d(b) = 5*g(b) + 6*i(b). What is the remainder when 387 is divided by d(9)?
13
Let s(n) = 18*n**2 - 2*n + 1. Let x be s(4). Suppose -5*p = 3*v - x, -45 = -p + v + 4*v. What is the remainder when p is divided by 12 + 10/(-10)*5?
6
Suppose 12*k - 13180 - 15368 = 0. Calculate the remainder when k is divided by 140.
139
Suppose -46*u + 5601 = -14961. What is the remainder when u is divided by 55?
7
Suppose -107*l + 91*l = -336. Calculate the remainder when 333 is divided by l.
18
Suppose 0 = 4*u - 3*c - 2285, -13*u - 4*c - 1140 = -15*u. Calculate the remainder when u*((-72)/(-396) + (-6)/(-88)) is divided by 9.
8
Suppose -o + 5*i + 868 = 0, 0 = 11*o - 10*o + 3*i - 884. Calculate the remainder when o is divided by 37.
27
Let n(s) = s - 8. Let a be n(5). Calculate the remainder when 75 is divided by (57 - 15)*a/(-6).
12
Let o = -400 + 297. Suppose -3*t + 478 = l, -l + 248 = 4*t - 388. Let i = o + t. What is the remainder when i is divided by 12?
7
Suppose 7*b - 28 = -7. Suppose -3*q - 3*w = -15 - 57, -b*w + 28 = q. Calculate the remainder when 217 is divided by q.
19
Let j = -1764 - -1971. Calculate the remainder when 212 is divided by j.
5
Let y = -39 - -42. Suppose -44 = y*b - z, 25 = -2*b + 4*z - 11. Let q(c) = c**2 + 11*c - 32. What is the remainder when 26 is divided by q(b)?
6
Suppose 16*q = 17*q + 3*u - 361, 4*q - 3*u - 1534 = 0. Calculate the remainder when q is divided by 84.
43
Let p(w) = w**2 + w - 178. What is the remainder when p(-21) is divided by 227?
15
Suppose -660 = -25*q + 7*q + 420. What is the remainder when q is divided by 49?
11
Let t = 39 + -37. Suppose -t*h + 124 = 2*h. Suppose 3*a = -h + 280. What is the remainder when a is divided by 17?
15
Suppose -4*x = -2*z - 12, 0 = -5*x - 4*z + 22 + 19. Suppose -2*d - x*f + 103 = 0, 5*d + 131 = 9*d - 5*f. What is the remainder when d is divided by 6?
3
Suppose 39*u + 2*a - 1208 = 35*u, a - 6 = 0. Calculate the remainder when u is divided by 131.
37
Let n(b) = 32*b**3 - 417*b**2 + 29*b - 159. Calculate the remainder when 149 is divided by n(13).
2
Let n = 59 + 38. Suppose -3*s - 16 = s, 3*j + s - 50 = 0. What is the remainder when n is divided by 3/j + (-332)/(-24)?
13
Let c(t) = t**2 + 59*t - 434. What is the remainder when 78 is divided by c(7)?
22
Let q(h) = -h**2 + 2*h - 2*h**3 + 0*h**2 + 2 - 1. Suppose 1 = -c + 246*s - 247*s, -2*c + 2*s = 6. What is the remainder when 25 is divided by q(c)?
7
Suppose 286 = 14*l - 1968. What is the remainder when 474 is divided by l?
152
Let t = 813 - 815. Calculate the remainder when 42 + 18/t - -4 is divided by 25.
12
Suppose -2*r + 5*a + 88 = 0, -4*a - 237 = -0*r - 5*r. Let i = 60 - r. Calculate the remainder when 78 is divided by i.
1
Suppose 1 = -3*t - 26. Let f = t - -12. Calculate the remainder when 0/f + 3 + 30 is divided by 9.
6
Let m(g) = 67*g - 1. Let y = 106 + -131. Let q(k) = -k**3 - 25*k**2 + 14. Calculate the remainder when m(1) is divided by q(y).
10
What is the remainder when 1857 is divided by 60/35*(-9 + -6 + 50)?
57
Let n(o) = o**2 - 8*o + 37. Let r be n(-18). Suppose 0 = -16*a + 6743 + r. What is the remainder when a is divided by 35?
33
Let p(z) = 0*z + 4*z - 287 + 293. What is the remainder when 99 is divided by p(1)?
9
Suppose 68*u + 64 = 38*u + 38*u. Calculate the remainder when 130 is divided by u.
2
Let a = 293 + -201. Suppose -5*b - 2 = -4*q - a, 4*b - 5*q - 72 = 0. Suppose 0*v = t + 3*v - 32, 2*t = 5*v + 75. What is the remainder when t is divided by b?
17
Let v = -3117 - -3131. Calculate the remainder when 38 is divided by v.
10
Let i(v) = -15*v**3 - 14*v**2 - 18*v + 24. What is the remainder when i(-6) is divided by 33?
30
Let o = -149 + 148. What is the remainder when 169 + o + -1 - 0 is divided by 34?
31
Suppose 2*z = 26*z - 1291 + 883. What is the remainder when 1171 is divided by z?
15
Suppose -12*z = -7*z + 25. Let r = 7 + z. Suppose 0 = -5*a - 5*v + 133 - 23, 3*a - 61 = r*v. Calculate the remainder when a is divided by 12.
9
Let s = 871 + -627. What is the remainder when s is divided by 10?
4
Let v(s) = s**3 + 10*s**2 + 16*s + 17. Let i = 88 + -96. What is the remainder when v(i) is divided by 11?
6
Let j(h) be the second derivative of h**5/20 + 29*h**4/12 + 13*h**3/3 - 37*h**2/2 + 21*h. What is the remainder when 70 is divided by j(-28)?
13
Suppose -66*s = -18*s - 3696. What is the remainder when 1702 is divided by s?
8
Suppose -7*l = -2*l - 15. Suppose -l*s = -4*s + 22. Suppose -s - 43 = -5*q. What is the remainder when 37 is divided by q?
11
Suppose 35 = 2*s + 3*z, 2*s - 4*z = 6*s - 60. Suppose s*t - 20 = 6*t. Suppose -54 - 276 = -t*u. What is the remainder when u is divided by 34?
32
Suppose -3*u + 0*u + 103 = 2*z, 0 = 5*z + 5*u - 250. Suppose -2*y + z = 81. Let p = y - -47. Calculate the remainder when 116 is divided by p.
26
Suppose 167 = 17*o + 1306. Calculate the remainder when -1 + (-3 - -2)*o is divided by 18.
12
Suppose 3*b - 3*o = 15, 4*b = 1606*o - 1601*o + 19. Calculate the remainder when 10761 is divided by b.
3
Let a(