
Let c = 109 - 54. Let g(l) = -l**3 - 63*l**2 - 927*l + 360. Calculate the remainder when c is divided by g(-39).
1
Calculate the remainder when 479 is divided by (14 - -442) + -1 - (9 - 0).
33
Let t(l) = -l**2 - l + 7. Let y = -36381 - -36433. What is the remainder when y is divided by t(0)?
3
Let o(w) = 5*w**2 + 46 - 7*w + 46 - w**3 - 83. Let u be o(4). Let n(x) = 4*x**2 - 3. Calculate the remainder when n(u) is divided by 15.
3
Let r(m) = -m**2 + 10*m + 26. Let a be r(-3). What is the remainder when (-11 - a)*(-1 - 0) - -74 is divided by 15?
12
Calculate the remainder when (1 - 0)/((-135534)/(-7133) + -19) is divided by 51.
50
Let b be 0/(-2) - (-4 - 2). Suppose -28 - 80 = -18*c. Suppose 0 = c*q - b - 78. What is the remainder when 25 is divided by q?
11
What is the remainder when 249 is divided by (-24)/9 + 2 - -5*3232/120?
115
Let x be (-274 + 269)*((-8)/10)/1. Suppose 3*l = 8*l - 55. Suppose x*v - 3*f = 116, 2*v = -3*f + l + 47. What is the remainder when 114 is divided by v?
27
Suppose -3*f + 1 = -5. Let l be (-12)/(-12) + (-81 - (f - 4)). Let a = 87 + l. What is the remainder when 27 is divided by a?
0
Let q = 2300 + -1921. Calculate the remainder when q is divided by 6.
1
Let j(d) = -d**2 + 6*d + 19. Let b be j(8). Suppose 264 = 4*s + 2*i, 130 = 3*s + b*i - 71. What is the remainder when s is divided by 17?
14
Suppose 256 - 228 = 7*o. Suppose -o*m + 1396 = 4*i, 69*m - 4*i + 700 = 71*m. What is the remainder when m is divided by 35?
33
Suppose 0 = -a + 6*a - 270. Let r = a - 25. Let q = -13 + 30. What is the remainder when r is divided by q?
12
Suppose -4*z - 471 - 71 = -3*d, -z = -1. Let o(x) = 13*x - 15. Let m be o(4). Suppose -k + 0*k + m = 0. Calculate the remainder when d is divided by k.
34
Let a = 629 - 599. Let o = 65 - 3. Let s = o - a. Calculate the remainder when s is divided by 7.
4
Let u = -23916 - -24058. Calculate the remainder when u is divided by 108.
34
Suppose -5*z + 150 = 195. What is the remainder when (-2 + -18)*11/(-4) is divided by (-1)/(z/(-2)) - 1903/(-99)?
17
Suppose -3 = 2*j + 5*n, 4*j + j - 1 = -4*n. Suppose -16*m + 16 = -16. Calculate the remainder when m is divided by j.
0
Suppose 0*c + 459 = 3*y - c, 24 = 4*c. Calculate the remainder when y is divided by 49.
8
Suppose -3*z = 5*t + 2*z - 160, 5*t + z - 176 = 0. Suppose 19*q - 73 + 282 = 0. What is the remainder when (((-11)/2)/q)/(2/276) is divided by t?
33
Suppose 0 = -50*y + 56*y. Suppose y = -10*a + 777 + 223. Suppose -x = -10 - 7. Calculate the remainder when a is divided by x.
15
Let x(c) = -c**3 - 29*c**2 + 226*c - 38. What is the remainder when x(-36) is divided by 90?
88
Let t(g) = 2*g**2 - 35*g + 36. Let k be t(17). Suppose -615 = -k*w + 753. Calculate the remainder when w is divided by 37.
35
Suppose -4*v = -10 + 2, -4*k - 2*v - 28 = 0. Let a(r) = -r**2 - 12*r - 7. Let t(y) = -172*y + 866. What is the remainder when a(k) is divided by t(5)?
1
Let c(v) = -15*v + 486. Suppose 0 = -31*h + 5*h + 390. Calculate the remainder when c(28) is divided by h.
6
Let g(r) = -2*r**2 + 37*r + 53. Let q(w) = w**2 - 19*w - 27. Let y(c) = -2*g(c) - 5*q(c). Calculate the remainder when y(16) is divided by 8.
5
Suppose 4*s - 20*p + 18*p - 200 = 0, -3*s + 145 = -4*p. Suppose 0 = 6*h + 27 - s. Calculate the remainder when 119 is divided by h.
3
Suppose -79*f - 40 = -84*f. Let q = 6 + -6. Let l = q + f. What is the remainder when 39 is divided by l?
7
Suppose 27*d + 24069 = 26202. Calculate the remainder when 186 is divided by d.
28
Let d be (-5)/30 + (-1 - (-91)/6). Suppose 4*z + 426 = 2*k, 3*z + d = -1. Calculate the remainder when k is divided by 69.
65
Let a(q) = 9*q**3 + 16*q**2 - 10*q - 46. What is the remainder when 897 is divided by a(2)?
57
Let b(a) = a + 3. Let m be b(-3). Suppose m = -4*f - j + 10, 1 = 3*f + 6*j - 2*j. Suppose 1 + 17 = f*w. What is the remainder when 21 is divided by w?
3
Let m(g) = -g + 10. Let u be m(8). Suppose -20 = u*x - 6*x. Let p = 355 + -341. What is the remainder when p is divided by x?
4
Let z be 10/15 - (62/(-6) + -1). Let m be z/2 + (7 + -6 - 5). What is the remainder when (-352)/(-10) + m - (-8)/(-40) is divided by 11?
4
Suppose 0 = 2*f - 2*r - 6, 4*f = 2*f + 5*r + 3. What is the remainder when 39 is divided by f?
3
Let o(i) = -i**3 + 31*i**2 - 19*i - 29. Let l be o(30). Let v = -291 + l. What is the remainder when 10 is divided by v?
0
Suppose 6*m - m - 3*z - 244 = 0, -2*z + 182 = 4*m. Calculate the remainder when m is divided by 10.
7
Suppose -4*s = j - 31, 2*s - 33 = -s - 4*j. Suppose -s*m + 4*h + 126 = -5*m, -2*m = 3*h - 126. Let x = 78 - m. What is the remainder when 86 is divided by x?
11
Suppose -178*q = -225*q + 139355. Calculate the remainder when q is divided by 99.
94
Let b(m) = -m**2 - 176*m - 2217. Calculate the remainder when b(-16) is divided by 29.
24
Calculate the remainder when -2*(14/2 + (17073/(-6))/21) is divided by 249.
8
Suppose -5*h + 4*h - p = -9, 3*h = 2*p + 2. Suppose -h*s - 30 = -7*s. Suppose -70 = -s*g - 4*g. What is the remainder when 37 is divided by g?
2
Suppose 0 = 75*o - 79*o + c + 3356, -4*c + 4195 = 5*o. Calculate the remainder when o is divided by 29.
27
Suppose -52 - 172 = -7*k. Suppose -108*g + 8030 = -20*g - 14058. What is the remainder when g is divided by k?
27
Suppose 11*z + 460 + 156 = 0. What is the remainder when 103 is divided by (-2408)/z - (-7 + -1)?
1
Let u = -26 - -22. Let f be (16/(-24))/(u/150). What is the remainder when 71 is divided by (36/15)/(10/f)?
5
Let v(p) = 3*p - 4. Let h be v(0). Let t be -28 + (-8)/((h*2)/4). What is the remainder when 34/(2 - t/(-14)) is divided by 41?
37
Calculate the remainder when 476 is divided by (1106 - 1117)/(25/(-33) + (-4)/(-6)).
113
Let j = 3718 + -3643. Calculate the remainder when 2472 is divided by j.
72
Let l = 2330 - 1617. What is the remainder when l is divided by 86?
25
Let l(s) = -2*s**2 - 11*s + 9. Let a be l(-4). Let p = a + 39. Let g = p + -49. Calculate the remainder when 109 is divided by g.
10
Suppose -10*n + 1286 = 966. What is the remainder when n is divided by 6 - 0 - (6 - (7 + -1))?
2
Let l(d) = 2*d**3 + 6*d - 6. Let b be l(2). Suppose 0 = -15*h - b*h + 1221. What is the remainder when 262 is divided by h?
31
Suppose -4*t = -3*x - 326, 2*x + 3 = 7. Calculate the remainder when (t - 3)*(-6)/(-5 + -7) is divided by 11.
7
Suppose -16 + 2 = -h. Calculate the remainder when h is divided by 8811/891 + (1 - 56/63).
4
Let x = 4357 + -4338. What is the remainder when 6017 is divided by x?
13
Suppose 18 = 2*t + 6. Let n(v) = 6*v + 140. Let j be n(-22). Suppose -2*l = 4*k - 44, -4*l - j*k = -10*k - 88. What is the remainder when l is divided by t?
4
Suppose -2*d = -2*l - 206, 2*l = 439*d - 442*d + 304. What is the remainder when d is divided by 92?
10
Suppose -4*a - 2*j = 196, 2*j + j + 144 = -3*a. Let i = a - -58. Suppose 26 = 9*l - i*l. Calculate the remainder when 100 is divided by l.
22
Suppose -204*c + 209*c + 100 = 0. Let m = -22 - c. Calculate the remainder when (-74)/(-9) + m/9 is divided by 2.
0
Suppose j - 13 + 8 = 0. Suppose t + 2*t - 27 = 3*v, 2*v - 52 = -j*t. Suppose 0 = s - 19. Calculate the remainder when s is divided by t.
9
Let w = 153 + -73. Calculate the remainder when (8321/(-314))/((-6)/72) is divided by w.
78
Let j(w) be the third derivative of -5*w**2 + 0*w + 0 - 17/60*w**5 + 1/120*w**6 + 25/6*w**3 + 1/8*w**4. What is the remainder when j(17) is divided by 8?
4
Suppose 3 = o + 1. Suppose -4*j + 5 = -a, -o - 3 = -a - j. Calculate the remainder when 3 - (-2 - 1) - a is divided by 3.
0
Let o = -23877 + 26014. Calculate the remainder when o is divided by 163.
18
Suppose -5*j - 5*x = -12*j + 533, 3*x = -4*j + 287. What is the remainder when j is divided by 16?
10
Let q = -31 - -54. Let y = -88 - -154. Suppose -69*o = -y*o - 15. What is the remainder when q is divided by o?
3
Suppose d = 3, 3*b - 4 + 163 = d. Let r = b + 188. Let u = r + -78. What is the remainder when u is divided by 20?
18
Suppose 143 = 5*n - 12. Let v = n - 3. Let d(i) = i**3 + 13*i**2 - 49*i - 6. What is the remainder when v is divided by d(-16)?
8
Suppose -3*v + 2*r + 2154 = 0, 848*v = 850*v - 4*r - 1444. What is the remainder when v is divided by 10?
6
Suppose 38*c = 42*c - 24. Suppose m - 3 = 0, -5*m - 39 = -3*b - 2*m. Calculate the re