when 27 is divided by ((-9)/21 + 1)/(t/84).
3
Suppose 0 = 4*j - 0*i - i - 85, 2*i + 44 = 2*j. Let w(n) = 2*n + 51. Suppose 38 = -6*p - 82. Calculate the remainder when j is divided by w(p).
10
Suppose -315 = -15*r - 105. Let j(i) = -i - 7. Let c be j(-13). Suppose 10*h - 9*h = c. What is the remainder when r is divided by h?
2
Let i = 264 - 140. Suppose -21*g + 84 = -0*g. Suppose -138 - 30 = -g*w. What is the remainder when i is divided by w?
40
Let p be -4 + (-2904)/(-10) - (-2)/(-5). Suppose 5*x = -r + 2178, x + r - 152 = p. What is the remainder when x is divided by 19?
17
Let u be 1/(-4 - (-3 - 0))*141. What is the remainder when 2/(-6)*u*(-2 - -7) is divided by 60?
55
Suppose -1705 + 9516 = 9*a - 2566. What is the remainder when a is divided by 572?
9
Suppose -3*w + 44 = 35. Suppose -5*l - q + 417 = 0, -6*q + q - 239 = -w*l. Let h = l + -31. Calculate the remainder when h is divided by 20.
12
Let j(b) = -b**3 + 3*b**2 + 20*b + 20. Calculate the remainder when j(-6) is divided by 117.
107
Let n be 5 - (7 + 35/(-5)). Suppose 0 = -4*z + 3*f + 184, -5*f + 171 + 24 = n*z. What is the remainder when 109 is divided by z?
23
Let r(a) = -2*a**2 + 16*a - 6. Let x be (-14)/(-8)*(-6 - (-4 + -6)). Let p be r(x). Suppose -14 - 18 = -p*h. Calculate the remainder when h is divided by 2.
0
Suppose 2*d - 95 = -n - 33, 4*d = 4*n - 224. Let g = 40046 - 40031. Calculate the remainder when n is divided by g.
13
Suppose 5*c - 5*h = 110, 18*h - 15*h = c - 26. What is the remainder when 215 is divided by c?
15
Let r be -1*(1 - 123) - 4. Suppose -g = -3*g + r. What is the remainder when g is divided by 20?
19
Let i(z) = z**2 + 7*z - 3. Let w be i(-9). Let m be (0/w)/((-4)/(-1)). Suppose m = l + 2*l - 60. Calculate the remainder when l is divided by 8.
4
Let t(z) = 857*z + 902. Let p(x) = -2*x**3 - 3*x**2 - 3*x - 6. What is the remainder when p(-4) is divided by t(-1)?
41
Let s(l) = -l**2 + 134*l + 387. Calculate the remainder when s(132) is divided by 126.
21
Suppose -14*t - 5808 = 8*t. Let j = -185 - t. Calculate the remainder when j is divided by 40.
39
Let u(j) = 10*j + 76. Let f be u(-7). Suppose -f*t = 11*t - 34. Let h = 0 - -11. Calculate the remainder when h is divided by t.
1
Calculate the remainder when 390 is divided by 762/4 + (-1034)/188.
20
What is the remainder when 419 is divided by (-390)/(-52)*(-12)/(-9) + 71?
14
Suppose 0 = p - 5*p. Let b(n) = 4*n - 53. Let z be b(14). Suppose -z*w + 3 = p, -2*y - 4*w = y - 88. Calculate the remainder when 110 is divided by y.
26
Suppose 29 = 3*o - 13. Suppose 302 = -2*y - 4*k, -5*k - 310 = 2*y - 3*k. Let u = 184 + y. What is the remainder when u is divided by o?
11
Let g = -5207 + 5604. Calculate the remainder when g is divided by 13.
7
Let t = 81 + -78. Suppose -t*d + 5*m - 52 = -167, -d + m = -37. Suppose -5*j + 159 + 181 = 0. What is the remainder when j is divided by d?
33
Let v(q) = 3*q + 33 - 2 + 14. Calculate the remainder when 142 is divided by v(-9).
16
Let o = -624 + 626. Let c(g) = -19*g + 59. What is the remainder when 81 is divided by c(o)?
18
Suppose j = 4*p - 527, 103 = p + j - 35. Let g = -93 + p. Suppose 43*a - g*a - 63 = 0. Calculate the remainder when 103 is divided by a.
19
Suppose 250 = 23765*h - 23764*h. What is the remainder when h is divided by 26?
16
Let z(s) = -s. Let c(r) = -36*r - 41. Let f(q) = c(q) - 3*z(q). What is the remainder when f(-7) is divided by 12?
10
Let a = 82 + -79. Let d(q) = q**2 - 6*q - 1. Let l be d(7). Suppose -l = a*k, -x + 5*k = -3*x + 56. What is the remainder when x is divided by 7?
5
Suppose 20*j - 312 = 7*j. Suppose -5*z = -156 - j. Calculate the remainder when 59 is divided by z.
23
Let u(r) = -40*r - 249. Let m = -513 - -1069. What is the remainder when m is divided by u(-7)?
29
Let v(n) = -2*n**2 + 214*n + 1379. What is the remainder when 53 is divided by v(-6)?
7
Let k = 2303 - 2100. Suppose -5*f + 25 = -35. Calculate the remainder when k is divided by f.
11
Suppose -17*a - 173 = -18*a. Let t = -61 + a. Let z(m) = 3*m - 1. What is the remainder when t is divided by z(13)?
36
What is the remainder when 2749 is divided by 13/39*-6*712/(-16)?
79
Suppose 723*q = 722*q - 2*d + 118, 5*q + 2*d - 526 = 0. Calculate the remainder when q is divided by 86.
16
Let l(o) = -27*o**2 - 25*o + 133. Calculate the remainder when 2119 is divided by l(0).
124
Let u(v) = -19*v - 157. Let o(s) = 78*s + 628. Let r(y) = 2*o(y) + 9*u(y). What is the remainder when 149 is divided by r(-13)?
35
Let s(f) = -13*f**2 - 12*f + 96. Let p(n) = -3*n**2 - 3*n + 24. Let g(z) = -9*p(z) + 2*s(z). What is the remainder when 78 is divided by g(5)?
14
Suppose 43*b - 37*b - 276 = 0. Suppose -2*y = -173 - 95. What is the remainder when y is divided by b?
42
Let r = -34885 + 35257. Calculate the remainder when 4826 is divided by r.
362
Suppose -5*t = -4*c + 2418, 9*c - 6*c - 7*t - 1820 = 0. Calculate the remainder when c is divided by 15.
2
Let a(x) = -26*x - 1. Suppose 4*m - 811 = 18*h - 15*h, 0 = -3*m + 2*h + 607. What is the remainder when m is divided by a(-1)?
24
Calculate the remainder when (-1766)/(-8) + 217/868 is divided by 9.
5
Let d(t) = -10*t - 2. Let r(k) = 40*k + 9. Let n(j) = 18*d(j) + 4*r(j). What is the remainder when 115 is divided by n(-1)?
15
Let s be (-2)/(-10) + 1251/45. Calculate the remainder when -376*((-175)/s - -6) is divided by 24.
22
Let m(h) = 8*h + 10. Let t be m(-7). What is the remainder when ((-2)/4 + -1)*t is divided by 160*3/27 - (2750/(-225))/55?
15
Suppose 874 = 61*f + 203. Calculate the remainder when (-64)/704 - (-320)/f is divided by 17.
12
Let p = 2 + 26. Suppose 3*y = 1116 - 1074. Suppose -249 = -y*c - 39. What is the remainder when p is divided by c?
13
Let i be (-290)/6 - 2/3. Suppose 18*u - 364 - 1220 = 0. Let d = i + u. What is the remainder when d is divided by 11?
6
Suppose 0 = -3*p + 2*t + 105, 0 = 4*t + 18 - 6. Let w(r) = -121*r**2 + r + 10. Let b be w(2). Let f = 633 + b. Calculate the remainder when f is divided by p.
29
Suppose 22*h = 364*h - 4788. Calculate the remainder when 20703 is divided by h.
11
Suppose 4*c + 11 = p, p + 3*p = -2*c + 26. Let x be p + (-5)/((-10)/(-4)). Suppose 3*a - 178 + 73 = b, x*b = 0. What is the remainder when a is divided by 9?
8
Let b(i) = i**2 + 46*i + 803. What is the remainder when b(-46) is divided by 12?
11
Let x(a) = -7*a**3 + 2*a**2 + a + 1. Let r be x(-1). Calculate the remainder when 322/5 + r/15 - -2 is divided by 5.
2
Let m(l) = 6*l - 12. Let p be 8/(8/36*-3). Let g(z) = z**2 + 10*z - 21. Let c be g(p). Calculate the remainder when m(c) is divided by 3.
0
Let x = -329 - -338. Suppose p + 5*r - x = 0, -5*p + 2*r + 52 + 47 = 0. Calculate the remainder when p is divided by 11.
8
Suppose 4 = 2*p - 0. Suppose 3*d + 2*d - 650 = -5*s, -3*d = 4*s - 387. Calculate the remainder when d is divided by (37 - 2) + p/(-2).
31
Let t be 12/42 - (-1 + 110/(-7)). Suppose -3*a + i = -102, 19*i + 171 = 5*a + t*i. What is the remainder when 262 is divided by a?
31
Let s = -428 - -490. Suppose 49 = 2*o + 3*u, 4*o + u - 41 = s. Calculate the remainder when 49 is divided by o.
23
Let b be (2 - -1 - 150/5) + 1. Let s = b + 62. Calculate the remainder when s is divided by 20.
16
Let g(r) be the third derivative of -3*r**4/8 - 67*r**3/6 + r**2. Let l be g(-10). Suppose -l*h + 9*h = -1162. What is the remainder when h is divided by 18?
11
Calculate the remainder when ((-2088)/(-63))/(-2*2/(-14)) is divided by 72.
44
Let l = -732 + 1360. Suppose 0 = 4*h - 2*a - 280, 405 - 55 = 5*h + 2*a. What is the remainder when l is divided by h?
68
Suppose -4*n + y = -2*y - 1677, -1257 = -3*n + 3*y. Let r = n + -209. Calculate the remainder when r is divided by 12.
7
Let r = 6324 - 4792. Calculate the remainder when r is divided by 305.
7
Suppose 62 = a - 20*q + 19*q, q - 1 = 0. Calculate the remainder when 125 is divided by a.
62
Suppose 2*q = -2*y + 392, -11*y + q + 208 = -10*y. What is the remainder when y is divided by 36?
22
Let r(b) = b**3 - 1. Let y(c) = 7*c**3 - 12*c**2 + 16*c - 42. Let s(o) = -6*r(o) + y(o). What is the remainder when 69 is divided by s(11)?
12
Let r = -1327 + 1346. What is the remainder when 5015 is divided by r?
18
Let i(s) = -3*s**3 - 3*s**2 + 390*s + 1564. Calculate the remainder when i(-4) is divided by 106.
42
