when c is divided by 123.
121
Let z = 3457 - 2810. Calculate the remainder when z is divided by 31.
27
Let l(v) = -380*v - 3534. Let t(c) = 11*c + 101. Let r(h) = -6*l(h) - 209*t(h). Calculate the remainder when 182 is divided by r(3).
30
Suppose 5*l - 55 = -5*y, l + 17*y - 11 = 13*y. What is the remainder when 10854 is divided by l?
8
Suppose 0 = -l + 4*h - 12, h + 14 = 5*l - 2. Suppose -8 = l*x + 8, 2*x + 164 = 4*k. Calculate the remainder when k is divided by 1 - (-2 + 0) - -19.
17
Suppose 0 = -4*t + p + 382, -2*t - 284 = -5*t + 2*p. Suppose 2*o + 21 + 39 = 2*f, 4*f - t = -2*o. Calculate the remainder when 101 is divided by f.
23
Let s be 2*1 - (5 + -5). Suppose 0 = 3*g + g + 3*n + 129, s*g - 4*n + 92 = 0. Let z = g - -44. Calculate the remainder when 29 is divided by z.
5
Suppose -1488 = 6*s - 576. Let n = 233 + s. What is the remainder when n is divided by 43?
38
Let w(r) = 3*r**2 + 4*r - 7. Let m be ((-4)/(-10))/((-63)/30 + 2). What is the remainder when w(m) is divided by (-2)/(-3) + 74/6?
12
Suppose 48 = d - t, -4*d + 46 = -3*d - 2*t. Suppose -d*x = -53*x + 3. Let y(u) = 48*u**2 - 2*u + 2. Calculate the remainder when 187 is divided by y(x).
43
Let l(y) = 27*y + 81. Let s(m) = 14*m + 41. Let h(u) = -2*l(u) + 5*s(u). What is the remainder when h(2) is divided by 38?
37
Let b(m) = -1004*m + 24557. Let s = -10 - -28. Calculate the remainder when b(24) is divided by s.
11
Suppose 0 = 2*v + 35*g - 38*g - 2888, 5776 = 4*v - g. What is the remainder when v is divided by 180?
4
Suppose -261 + 711 = 10*u. Suppose 105 = -40*n + u*n. Calculate the remainder when 55 is divided by 6/n - (1 + (-290)/14).
15
Let r(a) = 53*a - 170. Suppose -29*p + 1023 = -485. Calculate the remainder when r(5) is divided by p.
43
Let f = 1651 - 1600. Calculate the remainder when 3263 is divided by f.
50
Let q be (1 + -1)/(0 + -1). Let h = 2440 + -2435. Suppose 0 = -z - 4*m + 53, -h*z - m - 65 + 311 = q. What is the remainder when z is divided by 13?
10
Let p(a) = -8*a - 83. Let n(q) = -19*q + 1. Let o(s) = s**3 + 3*s**2 - 3*s + 3. Let f be o(-4). What is the remainder when n(f) is divided by p(-12)?
7
Let o = 3112 - 3071. What is the remainder when 650 is divided by o?
35
Let p be ((2 - 4)*87)/(6/18). What is the remainder when 77 is divided by p/(-24) + 5/20?
11
Suppose 5*a + 4*x = 87, -5*a - 3*x + 7*x + 103 = 0. Suppose -37*m + 281 + 1384 = 0. What is the remainder when m is divided by a?
7
Let z(g) = -7*g - 9. Let u be z(11). Let f = u - -125. Let b = f - -31. Calculate the remainder when b is divided by 18.
16
Suppose -2*j - 5*y + 103 = 0, 3*y + y - 106 = -2*j. Suppose p = -4*r + j, r + 19 - 18 = 5*p. What is the remainder when 78 is divided by r?
8
Suppose 0 = 3*a + 2*j - 354, 4*a - 468 = 271*j - 273*j. What is the remainder when 2060 is divided by a?
8
Let r(m) = -2*m**3 + 21*m**2 - 15*m + 7. Let n be r(10). Let p = n + 58. Let y = p - -32. Calculate the remainder when y is divided by 16.
15
Suppose -8*h - 16*h + 24025 = h. What is the remainder when h is divided by 41?
18
Let q be 1 - ((-13)/13)/((-2)/(-4)). Suppose q = -u + 15. Suppose 26 + u = 2*j. What is the remainder when 36 is divided by j?
17
Let g(s) = -s**2 - 10*s + 693. Let w = 68 + 97. What is the remainder when w is divided by g(-31)?
39
Suppose -5*p = -3*p - 1208. Let u = p - 550. What is the remainder when u is divided by 20?
14
What is the remainder when (-6129)/(-12) - 1/(-4) is divided by 67/((-3350)/(-1950)) + -12?
25
Suppose -36*t + 73*t = 703. Calculate the remainder when 37 is divided by t.
18
Suppose -5*i = 25, 5*s - 2*i + 45 = 2*i. Let z = 14 - s. Calculate the remainder when z is divided by 15.
12
Suppose 0 = -5*h - 3*b + 31, -2*h - 2*b = -7*b. Suppose h*f = 2*f + 4*c - 329, 2*f + c = -234. Let t = f + 131. What is the remainder when t is divided by 11?
5
Let k(a) = 8 + 23*a - 7*a**3 - 11*a**2 - 6 + 2*a**3 + 4*a**3. Calculate the remainder when 78 is divided by k(-13).
37
Suppose -4*d + 194 = -90. Let b = -4 + 9. Suppose 0 = -b*n + 13 + 77. What is the remainder when d is divided by n?
17
Let r be (-10 + 7 + 1)*10/(-4). Suppose -r*z - 47 = -312. What is the remainder when z is divided by 17?
2
Suppose 0 = u - 4*o - 252, -3*u + 7*o + 711 = 4*o. What is the remainder when u is divided by 70?
22
Suppose 61 = -5*f + 86. Suppose 5*r + f = 30, 184 = 4*g + 4*r. Calculate the remainder when g is divided by 14.
13
Let l be -79 - -73 - (-16)/2. Calculate the remainder when 482 - ((-5)/l)/(3/(-6)) is divided by 16.
13
Suppose -4*i + 5*m + 8 = 0, -m - 13 + 3 = -5*i. Suppose 5*p - 43 = -i*j, -4*p + 5*j = -2*p - 23. What is the remainder when p is divided by 4?
1
Suppose 4*l + 46 = 2*j + 1198, l - 290 = j. Suppose l = 180*k - 154*k. What is the remainder when 20 is divided by k?
9
Suppose 5*k = -5*v - 1810, 5*k + 3*v + 1551 = -253. Suppose 3*x + 630 = -d + 5*d, 4*d = 0. Let p = x - k. What is the remainder when p is divided by 38?
35
Suppose -448*w + 11732 = -434*w. What is the remainder when w is divided by 16?
6
What is the remainder when (-17 + 18)*(-11 + 31) is divided by 2/(-4) - (-25)/2?
8
Let i = 707 + -707. Suppose -1385 = -5*f - 4*h - h, -4*f + h + 1118 = i. What is the remainder when f is divided by 68?
7
Let i(t) = 6 - 6*t**2 - 3 + 0 - 1 + 233*t**3 + 2*t. What is the remainder when i(1) is divided by 20?
11
Let o = 0 - -4. Suppose o*k - 5 = 167. Let z = k + -17. Calculate the remainder when 103 is divided by z.
25
Let b(c) = c**2 - 218*c - 4630. Calculate the remainder when 766 is divided by b(-20).
116
Suppose 2*q + 3*k - 2 = 0, -2*q - 3*k + 6*k = 22. Let o(a) = -a**2 - 7*a - 3. Let l be o(q). Let y = l + 35. What is the remainder when y is divided by 23?
19
Suppose -7*b = -134*b + 889. What is the remainder when 37 is divided by b?
2
Suppose -5*q = -10*q - 45. What is the remainder when 59 is divided by 0 + -3 + 25 + q + 4?
8
Let r be (5 + -12)*1*120/28. What is the remainder when 129 is divided by 2*1/(-4)*r?
9
Let t(h) = -81*h - 31. Calculate the remainder when t(-6) is divided by 14.
7
Suppose -14*c + 3*p = -11*c - 12, 5*c - 97 = -6*p. Calculate the remainder when 43 is divided by c.
10
Let b = -3867 - -3964. What is the remainder when 4654 is divided by b?
95
Let a be (-209)/(-33)*18/(-2). Let b = 21 + a. Let i = b - -49. Calculate the remainder when 88 is divided by i.
10
Suppose -4*x + 179 = 3*z, 3*x - 4*z - 150 = -z. Suppose d - 59 = -4*w, -91 = -17*d + 16*d + 4*w. Let t = d - x. Calculate the remainder when t is divided by 15.
13
Suppose 2*q - 2*k = -k + 11, 13 = 4*q - 5*k. Suppose -3618 = -11*x - 90*x - 100*x. Calculate the remainder when x is divided by q.
4
Let a be 41 + 0 + -1 - -2. Suppose 4*d = -3*h + 37, 4*d - a = 2*h - 0*h. Let w = -12805 - -12861. What is the remainder when w is divided by d?
6
Let y(o) = -322*o + 1967. Suppose 307 = 5*j - 2*n, n = -3*n + 16. Calculate the remainder when j is divided by y(6).
28
Suppose -4 = 3*f + 4*a, -9*f + 5*f - 5*a = 6. Let u(g) = -2*g**3 - 7*g**2 - 17*g - 30. What is the remainder when u(f) is divided by 33?
21
Let b(r) = 11*r + 9. Let y(m) = -5*m + 5. Let p be y(2). Let a be b(p). Let x = 54 + a. What is the remainder when 23 is divided by x?
7
Let w = 39 - 40. Let s be 561/(-136) - w/8. What is the remainder when 9 is divided by s/4 - 1*-6?
4
Suppose 16*y + 5*y = -5712. Let p = y + 311. Suppose 4*h = j - 18, 0 = 2*j - 3*h - 31. Calculate the remainder when p is divided by j.
11
Let m = -30295 - -30457. Suppose 5*j = -25 + 190. Calculate the remainder when m is divided by j.
30
Let c(o) = -3*o**2 - 15*o + 3. Let m(z) = -147 - z**2 + 147 - z. Let i(g) = -c(g) + 4*m(g). Calculate the remainder when 25 is divided by i(10).
4
Let x = 40 - 40. Suppose x = -4*k + 2*u + 12, -8 = 3*k - 4*k - 2*u. Suppose -67 = k*v - 215. Calculate the remainder when v is divided by 20.
17
Let a = -9 - -14. Let m(x) = 25*x - 1. Let s be m(-4). Let g = -80 - s. Calculate the remainder when g is divided by a.
1
Suppose -74*l - 343298 = -235*l - 230*l. What is the remainder when 2661 is divided by l?
27
Suppose 10*m - 9*m - 270 = -2*x, 535 = 2*m + 3*x. What is the remainder when m is divided by 47?
25
Let w(o) = -9*o**3 + 4*o**2 + 5*o + 1. Let k = 9 - 6. Let c(n) = -n**3 + 4*n**2 - 3*n - 1. Let p be c(k). Calculate the remainder when 70 is divided by w(p).