*g - 18*u - 101, -g - 4*u = -30. What is the remainder when 63 is divided by g?
29
Suppose -19*a + 7722 = 7*a. Let p = a - 181. What is the remainder when p is divided by 32?
20
Suppose 4*n = 4, -4*n - 20 = -f + 36. Let c(p) = 5*p**2 + 2*p. Let h be c(-4). Suppose -h + 9 = -3*y. Calculate the remainder when f is divided by y.
18
Suppose 3*p + 3*s - 2970 = 0, 19*p - 4*s + 1984 = 21*p. What is the remainder when p is divided by 9?
7
Let p = 69 + -64. Let n = 1 + 125. Suppose -n = -6*x - 30. What is the remainder when x is divided by p?
1
Suppose -45299 = -52*m - 79*m + 16926. What is the remainder when m is divided by 178?
119
Suppose 17*i + 423 = 8*i. What is the remainder when (-55)/(-22)*(-6)/5 - i is divided by 22?
0
Suppose 4*l = -53*k + 55*k - 232, -5*k + 538 = -3*l. Calculate the remainder when 281 is divided by k.
73
Let d = 6311 + -6256. Calculate the remainder when 657 is divided by d.
52
Suppose -5*w = -i - 4*i + 40, 0 = -3*i - 3*w - 6. Let z(l) = 14*l - 1. Calculate the remainder when z(i) is divided by 12.
5
Let z(m) = 5 - 133*m**3 - 9*m + 266*m**3 - 134*m**3 + 11*m**2. Calculate the remainder when z(4) is divided by 7.
4
Suppose 568 = 5*j - 2*l, -4*j = 5*l - 4*l - 457. Suppose 3*m = 27 + j. What is the remainder when m is divided by 6?
5
Suppose -4*a - t + 182 = 0, 2*a - 4233*t + 4234*t - 94 = 0. Let z = -38 - -57. Let f = 43 - z. What is the remainder when a is divided by f?
20
Suppose -4*l = -5*s + 267, 5*s + 15*l = 14*l + 252. Calculate the remainder when s is divided by 29.
22
Let w(s) = 767*s + 854. What is the remainder when w(2) is divided by 1188?
12
Calculate the remainder when (-10)/7 + 5838585/3815 is divided by 382.
1
Let u be ((-96)/(6/1))/(4/(-12)). Suppose -x - 3*z - 2*z + 17 = 0, -2*x + u = -4*z. What is the remainder when x is divided by 6?
4
Let t(f) = -f + 24. Let r be t(-11). Suppose -j + 5*w + r = 0, -2*j = -0*j + 3*w - 31. Calculate the remainder when 59 is divided by (0 - j/15)*45/(-2).
29
Let z = 843 + -792. Suppose -4*c + 1636 = b + 3*b, -2000 = -5*b + 4*c. Suppose -t + 5*t - b = 0. Calculate the remainder when t is divided by z.
50
Suppose 3*d = -4*q + 80, q - 10 = -d + 3*q. What is the remainder when 18683/34*(-30)/(-105) is divided by d?
17
Let t(o) = -4*o**3 - 23*o**2 + 10*o - 6. What is the remainder when t(-8) is divided by 4?
2
Suppose -9*w = -45*n + 40*n + 21572, -4*n + 17262 = -5*w. What is the remainder when n is divided by 29?
26
Suppose -2*p = -4*t - 36, -4 - 58 = -3*p - 2*t. Suppose -p = 3*u - 7*u. Suppose 0*g - u*g = -135. What is the remainder when g is divided by 7?
6
Let v(m) = 3*m**2 - 52*m + 273. Let s be v(8). Suppose 3*f = -2*n + 129, 172 = 4*f - 0*f - n. Let y = s - f. What is the remainder when 11 is divided by y?
5
Let i = -3 - -7. Suppose -s + i*q + 38 = -2*s, 5*q = 4*s + 173. Let n = 76 + s. Calculate the remainder when n is divided by 9.
7
Let s be 2*(-64 - 16/(-4)). Let q = -110 - s. Let t(l) = -3*l**3 - 3*l**2 - 3*l - 1. What is the remainder when t(-2) is divided by q?
7
Let v = -635 - -629. What is the remainder when 85 is divided by 6554/116 - v/(-4)?
30
Suppose -7*v - 20252 = -20777. What is the remainder when 164 is divided by v?
14
Let x(h) = 63*h + 477. What is the remainder when 292 is divided by x(-6)?
94
Suppose -p + 4 - 5 = -q, 2*q + 4*p + 4 = 0. Suppose -94 = -2*w - i, q*w - 3*w + 132 = -3*i. What is the remainder when 69 is divided by w?
23
What is the remainder when 6852 is divided by 2860/130 + (-1 - (-6 + 1))?
14
Let x = 485 - 707. Let c = -27 - x. Calculate the remainder when c is divided by 49.
48
Let c(o) be the second derivative of 0 + 1/20*o**5 + 49*o + 5/2*o**2 - 1/3*o**4 + 0*o**3. Calculate the remainder when 12 is divided by c(4).
2
Let m(v) = 31*v - 53. Let j be m(6). What is the remainder when (-6)/9*21*-4 is divided by (-1 - -4)*-6*j/(-126)?
18
Let o(t) = -7 + t**2 + t**2 - 6*t - 3*t**2. Let m be 12/(-5)*(-20)/(-12). Calculate the remainder when o(m) is divided by 1.
0
Let c(b) = -b**3 + 12*b**2 - 7*b - 21. Let i be c(8). Let l = 195 - i. Suppose 0 = w + 2*w - 522. Calculate the remainder when w is divided by l.
14
Calculate the remainder when (834/15)/((-4 - 305/(-75))*6) is divided by 71.
68
Let s = -92 - -94. Suppose -s*v + 35 = -19. What is the remainder when v is divided by 14?
13
Let q(v) = -v**3 - 37*v**2 - 70*v + 33. Suppose 5*o = 5*z - 190, -25*z = -2*o - 30*z - 55. What is the remainder when 187 is divided by q(o)?
22
Let n = -271 + 275. Suppose n*v - 4*x - 30 = 14, -53 = -3*v - x. Calculate the remainder when 31 is divided by v.
15
Suppose 31*n - 15*n = 5312. Calculate the remainder when n is divided by 84.
80
Let a be (-5 - (3 - 181)) + 3. Suppose -f = 4*p - 69, 5*p - 59 - a = -3*f. What is the remainder when 251 is divided by f?
81
Let g(m) = 597*m + 11748. Let r = -63 - -92. Calculate the remainder when g(-19) is divided by r.
28
Let z = 227169 - 227008. Suppose -2*k + 5*k - 165 = 0. What is the remainder when z is divided by k?
51
Suppose -8*v - 32 = -112. Suppose -w + d = -v, -2*w - d = 2*w - 30. Suppose 2*o - w = -g - 3*o, -g - o = -12. What is the remainder when 38 is divided by g?
12
Suppose -w - 11*w + 4*w = 0. Suppose 9*a - 185 = 8*a + 5*q, 3*a - 4*q - 500 = w. What is the remainder when a is divided by 42?
34
Let y(v) = -2*v**3 + 14*v**2 - 6*v - 10. Let t be y(6). Suppose -a + 5*p = -16, -t*p - 2 = -25*p. Let l = 94 - 54. What is the remainder when l is divided by a?
4
Suppose -5*d - 75 = -4*u, -u + 100 = 2*u + 5*d. Let n be -1 + 2 + -5 - (-475)/19. Let w(t) = -t**2 + 27*t + 71. What is the remainder when w(n) is divided by u?
22
Suppose -3*p + 5*q + 6935 = 0, 3*p + 8*q - 12*q = 6931. What is the remainder when p is divided by 3?
1
What is the remainder when 390 is divided by (20/12*41)/(15/45)?
185
Calculate the remainder when 157 is divided by (410/20 + -20)/((-2)/(-500)*1).
32
Suppose -6 = -4*i + 2*i. Let j(c) = 18*c - 5. Let o(b) = 26*b - 15. What is the remainder when o(8) is divided by j(i)?
46
Let j(f) = f**3 + 5*f**2 + 2*f + 16. Let m be j(-5). Suppose 0 = m*n + 386 - 488. Calculate the remainder when 49 is divided by n.
15
Let x = -8894 - -9189. Calculate the remainder when x is divided by 79.
58
Let z(s) = 7*s**3 + 46*s**2 + 8*s + 35. Calculate the remainder when 1557 is divided by z(-6).
116
Suppose 2*h - 4 = -0*h. Let i(v) = 2*v**2 - 45*v - 563. What is the remainder when i(-9) is divided by h?
0
Suppose c - 319 + 24 = 2*v, 5*c + 4*v = 1335. What is the remainder when c is divided by 2/(5/((-465)/(-6)))?
27
Let d(c) = -2*c**3 + 2*c**2 - 2*c + 1. Let l be d(1). Calculate the remainder when 339 is divided by 1*(l + 49 + 1).
45
Suppose -5*c + 13 + 27 = 0. Let o = c - 0. Calculate the remainder when ((-25)/(-100))/(2/176) is divided by o.
6
Let x = 267 - 306. Suppose -h = -3*q + 128, 3*q = 2*q + 3*h + 40. Let g = x + q. What is the remainder when 10 is divided by g?
2
Suppose 0 = -r + 3*y + 21, -4*y - 72 = -6*r + r. What is the remainder when (-475)/10*16/(-20) is divided by r?
2
Let o(u) = 113*u - 6*u**2 + 2*u**2 + 46*u**3 + 3*u**2 + 1 - 114*u. Let w be o(1). Suppose 0 = -5*v + 110 + w. What is the remainder when v is divided by 11?
9
Let z(n) = -267*n + 2021. Calculate the remainder when 269 is divided by z(7).
117
Suppose 2*d + 19 - 11 = 0. Let x = -154 + 289. Calculate the remainder when x is divided by (-8 - -1 - 0)*(d + -1).
30
Suppose -2*c = 2*i + 32 + 88, 0 = -i - 3*c - 50. Let q = i - -112. What is the remainder when 93 is divided by q?
46
Let i(u) = 7 + 4*u + 4 + 38*u - 10. What is the remainder when i(1) is divided by 16 + -1*(-1 - -2)?
13
Suppose -1367 = 5*q - 187. Let f = q + 298. What is the remainder when f is divided by 16?
14
Let m = -34395 + 34406. Suppose 2*x + y = 0, 2*y + y + 20 = 4*x. Suppose -t = -x*b + 85, -b + 2*t + 56 = -3*t. Calculate the remainder when b is divided by m.
8
Suppose 0 = 4*d + 4, 2*u - 31 = d - 0*d. Suppose -4*a = -4*k - 680, 3*k = -4*a + 5*a - 180. Let r = -136 + a. Calculate the remainder when r is divided by u.
14
Let f = 2652 + -2586. Let l(b) = 10*b + 4. What is the remainder when f is divided by l(3)?
32
Suppose 12 = -63*o + 64*o + c, -5*o + c + 108 = 0. Calculate the remainder when 209 is divided by o.
9
Let u = 22221 + -22122. Calculate the remainder when 16136 is divi