0 = 3*j - i, 2*j + 3*j + i - 164 = w. Calculate the remainder when 105 is divided by j.
6
Let y = -669 - -1137. Let s = y + -119. Calculate the remainder when s is divided by 16.
13
Let s(n) be the first derivative of 4*n**3/3 - n**2 - 28*n + 12. Calculate the remainder when s(10) is divided by 51.
46
Suppose 0 = 9*h - 64 + 91. Let f(p) = 5*p + 11. Let v(i) = 99*i + 220. Let l(q) = -121*f(q) + 6*v(q). What is the remainder when 62 is divided by l(h)?
18
Suppose 0 = -3014*l + 2993*l + 929 + 1591. Calculate the remainder when 830 is divided by l.
110
Let i(g) = 2*g**2 - 18*g - 17. Let r be i(14). Let y = r + -78. Suppose 52 = y*d - 41*d. Calculate the remainder when 25 is divided by d.
12
Let m = -5886 + 5939. What is the remainder when 1442 is divided by m?
11
Let m(h) = 2*h**2 + 3*h. Let g be m(-3). Let t be (-2)/g - 236/(-9). Suppose 0 = -2*n - 10 + t. Calculate the remainder when 18 is divided by n.
2
Let o(x) = 3*x**2 + 179*x - 3993. What is the remainder when o(19) is divided by 96?
11
Suppose 0 = 21*r + 25*r - 306 - 706. What is the remainder when 713 is divided by r?
9
Suppose 885 - 2334 = 7*o. Let a = o - -211. Suppose 4*g - 5 = y, g - 19 = -g - 5*y. What is the remainder when a is divided by g?
0
Calculate the remainder when (-8 - -390) + 44/(-22) is divided by 10.
0
Let p(l) = -2*l + 29. Let z be p(-16). Let g = z + -46. Let a = g - 0. What is the remainder when a is divided by 6?
3
Suppose 28*n + 2408 = 10668. Calculate the remainder when n is divided by 99.
97
Suppose 263*g - 52 = 276*g. Calculate the remainder when (252/(-54))/(g/42) + -6 is divided by 22.
21
Let z = -13316 - -27667. What is the remainder when z is divided by 74?
69
Suppose 16457 = 144*o + 1193. What is the remainder when o is divided by 31?
13
Let o(r) = 2*r**3 + 8*r**2 - 14*r - 10. Let x be o(-5). Suppose x = -2*b, l - 4*l - b = -136. Let k = -7 + 15. What is the remainder when l is divided by k?
7
Suppose -g + 12*g - 1100 = 0. Let l be -5 - (-11 - (-4)/4). Suppose -40 = -4*i + 4*a, -3*a + 0 = l*i - 74. Calculate the remainder when g is divided by i.
9
Suppose -4*t = -4, -37*t = k - 38*t - 7347. Calculate the remainder when k is divided by 49.
47
Let r = 1189 + -203. Suppose -12*c = -29*c + r. What is the remainder when 226 is divided by c?
52
Let m = 432 + -424. Suppose -537 = m*b - 625. What is the remainder when 28 is divided by b?
6
Let w = 13 + 97. Suppose z - w = 3*l, 4*z + 3*l - 440 = l. Let r = -72 + z. Calculate the remainder when 75 is divided by r.
37
Let z be 4 + -7 + 0/(-1). Let f be 4 - (7 + z + 1). Calculate the remainder when 129 is divided by (f - 14 - -4)/((-2)/4).
19
Suppose t + 4*t - 334 = a, -4*t + 276 = -3*a. Let j = t + -49. Suppose -13*q = -j*q + 92. What is the remainder when q is divided by 8?
7
Let i = 1876 - -2741. Calculate the remainder when i is divided by 22.
19
Suppose -16 = -a + 17. Suppose -5*n + a = -l, 3*l - 4*n = 7*l + 132. Let i = l + 52. Calculate the remainder when 112 is divided by i.
17
Suppose -13*u + 4542 = 1292. Suppose u = -10*a + 12*a. Calculate the remainder when a is divided by 8.
5
Suppose -1359 = 460*m - 598*m + 435. Calculate the remainder when 0 + 130/1 - 1 is divided by m.
12
Let l = -182 + 79. Let q = l + 145. Let i(v) = v**3 + 2*v**2 - 18*v + 167. What is the remainder when i(0) is divided by q?
41
Suppose 9*t - 14323 - 7296 = -5716. Calculate the remainder when t is divided by 177.
174
Let v(q) = q**3 + 63*q**2 - 198*q + 53. What is the remainder when 125 is divided by v(-66)?
19
Let m = 29887 + -29760. Calculate the remainder when 23366 is divided by m.
125
Let s(a) = 22 - 5*a**2 + 2*a**2 + 3*a**2 + 19*a - a**2. Let b be s(20). What is the remainder when 24 is divided by (126/(-70))/(b/(-10))?
6
Suppose 7*o - 10*o - 2389 = -b, 5*o + 7175 = 3*b. What is the remainder when b is divided by 17?
15
Calculate the remainder when ((-1653)/(-9))/(-3 - 10/(-3)) is divided by 133.
19
Calculate the remainder when (-189)/(-45)*2375/75 is divided by 74.
59
Suppose 72 = -149*s + 152*s - 4*h, -95 = -4*s + 5*h. Calculate the remainder when 323 is divided by s.
3
Calculate the remainder when 969 is divided by (-7 + 14 + -1 - (-13 + -1)) + -3.
0
Let s(i) = 32 + 20*i - 7*i - 6*i. Let d(z) = 3*z + 16. Let m(t) = 5*d(t) - 2*s(t). What is the remainder when 18 is divided by m(-6)?
8
Let w = -47 + 49. Suppose -10 = -5*f - q - q, -3*q = w*f - 15. Suppose -z - 7*z + 216 = f. Calculate the remainder when z is divided by 7.
6
Suppose -66*f - 5*f = -3124. What is the remainder when 2507 is divided by f?
43
Suppose -3*k + 55 = 4. Let u(v) = 6*v**2 - 10*v - 43. What is the remainder when u(10) is divided by k?
15
Let v be (-2)/14 - (-203)/49. Suppose 96 = 5*r - v*j, 2*r - 2*j - 88 = -3*r. Let z = r - -32. Calculate the remainder when 142 is divided by z.
46
Let j(o) = -2*o**2 - 33*o - 61. Calculate the remainder when 550 is divided by j(-14).
1
Let n(d) = d**2 + 19*d - 89. Let z be n(-23). What is the remainder when 76 is divided by (-1)/(z/156*-2) + -4?
10
Suppose -11*f - 3104 = -22*f - 21*f. What is the remainder when 1742 is divided by f?
93
Let k(i) = -6*i + 1. Suppose -66 = q - 12*q. Suppose v = 3*o + 80, 3*v - 5*o + q - 258 = 0. What is the remainder when v is divided by k(-5)?
27
Let d be -1 + (2 - -1) + 19. Suppose -g = -2*g + d. Suppose -4*a + 20*k + 330 = 18*k, -2*k = 4*a - 310. What is the remainder when a is divided by g?
17
Suppose 452*o = 513*o - 366. Calculate the remainder when 24 + (-5)/((-10)/(-6)) is divided by o.
3
Let r(i) = 3*i**2 - 56*i - 14. Let m be r(26). Suppose m = 4*a + 86. Let t = a - 93. Calculate the remainder when t is divided by 9.
7
Let n be -1*(-38)/2 + 2. Suppose 2*d - n*o - 344 = -19*o, 316 = 2*d + 5*o. Calculate the remainder when d is divided by 5.
3
Suppose 5*j - 281 = -k, -2*j - 111 = -4*j + k. Let x(d) = d**3 + 98*d**2 - 508*d - 22. Calculate the remainder when j is divided by x(5).
4
Let m be ((-729)/(-6))/((-6)/12). Let q = 379 + m. What is the remainder when q is divided by 35?
31
Let w(r) = 39*r - 2663. What is the remainder when 1397 is divided by w(78)?
260
Let r(f) = 4*f + 5. Let x be r(9). Let t = x + -26. Suppose -9*j - 2 = -380. What is the remainder when j is divided by t?
12
Let r = -152 + 151. What is the remainder when (-3)/r + 485 + -5 is divided by 11?
10
Let d = 414 + -221. Let x = d + -127. Calculate the remainder when x is divided by 27.
12
Let y = 101 - 108. What is the remainder when 29 is divided by y/28 - (2 + 49/(-4))?
9
Let l(j) = -32*j - 3 + 4*j**2 + 2*j + 0 - 6 + 7*j + j**3. Suppose -2*m = -n - 5 - 10, 5*n + 25 = 5*m. What is the remainder when l(-6) is divided by m?
7
Calculate the remainder when 1907 is divided by 43 + 4 + (-44)/(-11) + 11.
47
Let w(c) = -24*c - 21. Let b be w(-8). Suppose 5*j + 1 - b = 0. Suppose o + j = 18*o. Calculate the remainder when 11 is divided by o.
1
Suppose 8*u = 3*u - 3*b - 168, 4 = b. Let h(a) = a + 105. Calculate the remainder when 197 is divided by h(u).
59
Suppose -4*v + 8*v - 112 = 0. Let r(n) = n**2 - 5*n + 6. Let p be r(3). Suppose p = 5*k - 3*k - 12. Calculate the remainder when v is divided by k.
4
Suppose 124*j - 47*j - 560014 = -105*j. What is the remainder when j is divided by 3063?
14
Let p(f) = f**3 + 19*f**2 - 27*f - 108. What is the remainder when 211 is divided by p(-20)?
19
Suppose 0 = -5*k + 2*b + 1159, -836 = -5*k - 4*b + 311. What is the remainder when k is divided by 72?
15
Suppose -16 = -u + 3*n, 6*n = n + 25. What is the remainder when 121 is divided by u?
28
Let d(z) = -z + 21. Let s be d(13). Let o(c) = -c**3 + 8*c**2 + 5*c. Let i be o(s). Calculate the remainder when 37 is divided by (8/(-5))/(-2*4/i).
5
Let r(y) = -4*y**3 - 11*y**2 + 2*y - 10. What is the remainder when r(-6) is divided by 150?
146
Suppose 26*v - 8406 = 19*v + 5*f, 3*f = -5*v + 5978. Calculate the remainder when v is divided by 16.
14
Let j(p) = p**3 - 30*p**2 + 2*p + 9. What is the remainder when 135 is divided by j(30)?
66
Let j = -337 - -634. Let x = j + 15. What is the remainder when x is divided by 79?
75
Suppose -510*b = -507*b - 735. Calculate the remainder when 374 is divided by (b/(-5) + -1)/(-2).
24
Suppose -21*k + 19*k - 4*w = 8, -4*w - 44 = -4*k. Calculate the remainder when 192 is divided by k.
0
Let q(o) be the first deriv