 remainder when 75 is divided by q?
18
Let f be (12/9)/(-4)*-3. Suppose -6*p + 25 = f. Suppose -c = -p*c + 48. What is the remainder when 47 is divided by c?
15
Suppose z - 5*v = -z + 4, 19 = 3*z - v. Let u(m) = 7*m - 10. Suppose 0 = 3*x - 5 - 16. Calculate the remainder when u(x) is divided by z.
4
Let s = -58 - -54. Let r be 103*(-1)/s*4. Suppose -227 - r = -6*n. What is the remainder when n is divided by 14?
13
Calculate the remainder when 271 is divided by 5 + -10 - (-5 + -11 - -2) - 2.
5
Suppose 5*q + 9*q = 2954. Let j = 247 - q. What is the remainder when j is divided by 25?
11
Let h(d) = d**3 + 16*d**2 - 21*d - 51. Let x(u) = u**3 - 7*u**2 + 3*u - 8. Let a be x(7). Let f = -1 + a. Calculate the remainder when h(-17) is divided by f.
5
Let q(b) = b - 20. Let y be q(15). Let i be y + (-3 + 4 - -4). Suppose i = 3*j + 9, -j + 92 = 4*a - 125. Calculate the remainder when a is divided by 7.
6
Let l(c) = 3*c + 52. Let z be l(16). Let m = 44 + z. Calculate the remainder when m is divided by 30.
24
Suppose -200 = 15*j - 2913 - 242. What is the remainder when j is divided by 85?
27
Let t = -562912 - -562934. Let g(a) = -4*a**3 + a**2 + 2*a - 3. What is the remainder when g(-4) is divided by t?
19
Calculate the remainder when (321708/(-60))/17*-5 is divided by 158.
155
Let p = 35 - 6. Suppose -1092 = 2*g - z, 4*z - 552 = g + 2*z. Let y = 599 + g. What is the remainder when y is divided by p?
26
Suppose 12*h - 749 - 947 + 1324 = 0. Calculate the remainder when 751 is divided by h.
7
Let i(l) = -64*l - 89. Let n be i(-6). Let b = 298 - n. What is the remainder when 80 is divided by b?
2
Suppose -489 = -143*q + 331 + 38. What is the remainder when 82 is divided by q?
4
What is the remainder when ((-1)/(-2))/(-4 + 5 - 69003/69036) is divided by 26?
6
Let j = -327 - -387. Suppose -67*b + j*b + 91 = 0. Calculate the remainder when 63 is divided by b.
11
Let r(q) = 5*q**2 + 449*q - 1336. Calculate the remainder when (2 + -1)/((-2)/(-446)) is divided by r(3).
55
Suppose 4083 = 66*s - 2187. What is the remainder when s is divided by 29?
8
Let r(w) = w**2 - 6*w + 1. Let g be ((-81)/(-45))/(1/5). Let k be r(g). What is the remainder when 20 is divided by 0 - 44/(-7) - 8/k?
2
Let s = -16 + 16. Suppose 4 = 2*f - s. Calculate the remainder when 83 is divided by (6/(-12))/((-1)/f) - -27.
27
Let j be (93/2)/(7/(-14)). Let t = j + 154. Calculate the remainder when t is divided by 23.
15
Let t = -87 - -91. Suppose 296 = t*j + 4*s, -3*s + 153 = -5*j + 483. What is the remainder when j is divided by 10?
9
Let u(y) = 24*y - 970. Calculate the remainder when 55 is divided by u(41).
13
Let p = -205 - -205. Suppose 2*u + 42 = l, 2*l - 5*u + 0*u - 84 = p. What is the remainder when 83 is divided by l?
41
Let x = -711 + 733. Let v be (-2)/2 - (3 + -9). Suppose -v*g - 13 = 2*s, -g + 3 = 3*s + 2*g. What is the remainder when x is divided by s?
4
What is the remainder when (185/10)/(-11 - 17784/(-1616)) is divided by 55?
52
Suppose -5*u - 2795 = -3*z - 10*u, 5*z + 3*u = 4685. Suppose -1067 = -5*k + 3*h, 4*k + 5*h = -79 + z. Calculate the remainder when k is divided by 24.
22
Calculate the remainder when 392 + (-14)/(-7) - -7 is divided by 29.
24
Suppose -3*c - 5223 = -2*j, 7*j - 4*j - 7834 = 4*c. What is the remainder when j is divided by 39?
36
Suppose 3*m = 6*m. Suppose 4*n + k = -k + 178, m = -5*n - 3*k + 224. Let z(h) = -222*h - 1317. What is the remainder when n is divided by z(-6)?
13
Let j = 98346 + -98267. Let o(r) = -38*r + 4. What is the remainder when o(-4) is divided by j?
77
Let l = -81 + 126. Suppose -55 = -56*y + l*y. Calculate the remainder when 12 is divided by y.
2
Let a(i) = -2*i + 132. Let m be a(38). Suppose -166 = -5*j - 2*h, 65 = 2*j - 4*h - 11. Let b = m - j. Calculate the remainder when b is divided by 8.
6
Calculate the remainder when 52 is divided by 168/(-40)*80/(-24).
10
Let l be (-2)/(-3)*2*321/214. Suppose -4*n - 3*o = -12, -2*n + 31 - 11 = -l*o. Calculate the remainder when 10 is divided by n.
4
Suppose 3781502 + 331011 = 106*y - 2177209. What is the remainder when y is divided by 23?
20
Let d = -280 - -325. Suppose -d*p + 50*p - 905 = 0. Calculate the remainder when p is divided by 46.
43
Suppose 4*g = -0*g, 3654 = 5*s + 5*g - 3981. Calculate the remainder when s is divided by 10.
7
Suppose -106*c = -116*c + 55830. Calculate the remainder when c is divided by 57.
54
Suppose 19*t + 9*t - 84 = 0. What is the remainder when 663 is divided by t?
0
Let r = 390 - 386. What is the remainder when 135/5 - 1*2 is divided by r?
1
Let j be ((-24)/(-52))/((-66)/(-572)). Let c be ((-9)/6)/(1/2). Calculate the remainder when 56 is divided by (57/12)/(c + 13/j).
18
Suppose 161 = -64*j + 87*j. Calculate the remainder when 1468 is divided by j.
5
Suppose 0 = -209*i + 36357 + 86117. What is the remainder when i is divided by 573?
13
What is the remainder when 1014 is divided by 21 + -29 + (-8)/18 + 27414/81?
24
Let g = 71654 - 50463. Calculate the remainder when g is divided by 14.
9
Suppose 0 = 5*h - 10, -64*z + 3*h - 166 = -68*z. Let v(s) = 2*s - 3*s**2 - 4*s + 1 + 7*s**2. Calculate the remainder when z is divided by v(2).
1
Let f = -11 - -16. Let z(s) = s**3 + 2*s**2 + 8*s + 7. Let v be z(f). Suppose -g = 3*c - 350, c - 3*c + 5*g = -v. What is the remainder when c is divided by 24?
20
Suppose -221 = -w - 2*d, -13*w - 2*d - 466 = -15*w. What is the remainder when w is divided by 39?
34
Suppose s + 128*v - 124*v = 223, 226 = s + 5*v. What is the remainder when 635 is divided by s?
2
Let n(q) = 5*q**2 - 357*q - 1451. Suppose 3*c - 2*m = -2*c + 498, 4*c - 5*m = 395. Suppose -z = 4*z - c. What is the remainder when n(-4) is divided by z?
17
Suppose 37*h = 35330 + 17136. What is the remainder when h is divided by 7?
4
What is the remainder when ((-14)/(-3))/(192095/21321 + -3*3) is divided by 126?
105
Suppose -4*f + 968 = -2*a + 4138, 788 = -f + 2*a. Let g = -780 - f. Calculate the remainder when 108 is divided by g.
10
What is the remainder when 2659 is divided by (-57)/12 + (-21823)/(-628)?
19
Let w(q) = -14*q + 890. Let s(z) = -5*z + 297. Let x(j) = -8*s(j) + 3*w(j). Calculate the remainder when x(-23) is divided by 19.
17
Let o(t) = -176*t - 1449. Calculate the remainder when o(-9) is divided by 21.
9
Let j(z) = 1978*z - 1967. Suppose -2*w + 139 = 3*k - 86, -3*w - 225 = -3*k. Calculate the remainder when k is divided by j(1).
9
Calculate the remainder when (1088/(-10))/(0 - (-12)/(-30)) is divided by (-670)/(-12) - (-92)/552.
48
Let n be (-224)/(-16)*(-9)/6. Calculate the remainder when -502*(n/(-6))/(-7) is divided by 84.
83
Let w = 158 + -135. Suppose 0 = 2*k - 2*d - 63 - w, -k + 4*d + 43 = 0. Let s = 422 - 208. What is the remainder when s is divided by k?
42
Suppose u - 20 = -2*u - 2*w, 2*u + 2*w = 14. Let q(o) = o**3 - o**2 - 12*o + 69. Calculate the remainder when q(u) is divided by 23.
16
Let h = 743 + -477. Let l = h + -149. What is the remainder when l is divided by 13?
0
Let g(h) = 50*h - 290. What is the remainder when 323 is divided by g(8)?
103
Let p be (15 - 1)/(-2 + 4). Let k(u) be the third derivative of u**5/60 - u**4/12 - u**3/3 - 204*u**2. What is the remainder when k(p) is divided by 9?
6
Suppose 2*x + 8*u = 5828, -2*u = -16*x + 11*x + 14438. Calculate the remainder when x is divided by 145.
135
Suppose 159*q - 38499 = -154*q. What is the remainder when q is divided by 65?
58
Let x = -8552 - -8869. What is the remainder when 374 is divided by x?
57
Suppose 0 = 295*o - 303*o + 3920. What is the remainder when 1962 is divided by o?
2
Let w be 1/4 + 8/((-128)/(-7500)). Suppose -12*j = -287 - w. Suppose 3*i - 16 = 8. Calculate the remainder when j is divided by i.
7
Let w(y) = y**2 - 44*y + 508. Calculate the remainder when w(79) is divided by 126.
123
What is the remainder when 254 is divided by (1 + 1)/(-14 + (-9390)/(-670))?
120
Let r = 18 - 13. What is the remainder when 12 is divided by (5 - 2 - 1)*r/2?
2
Calculate the remainder when 667 + -4*84/(-16) is divided by 212.
52
Suppose 0 = 3*z + 36 - 141. Let t(h) = -6*h**3 + 3*h**2 + 4*h - 4. Calculate the remainder when t(-3) is divided by z.
33
Let f(b) = 35*b**2 + 6*b + 2. Let x(l) = -34*l**2 - 5*l - 2. Let t(w) = -3*f(w) - 4*x(w). Let h = 360 - 176. What is the remainder when h is divi