Suppose s = -40*u + 44*u. Suppose -2*y - 4*n + 134 = -3*n, 2*y - 3*n - 142 = 0. What is the remainder when y is divided by u?
12
Let u(v) = v**3 + 67*v**2 + 367*v + 66. What is the remainder when 74 is divided by u(-61)?
4
Suppose 0 = 2*g + 2*z - 18 - 2, 3*g + z - 28 = 0. Suppose 0 = -g*n + 4*n. What is the remainder when n + ((-140)/(-4) - 0) is divided by 18?
17
Let y(x) be the second derivative of x**4/12 - 2*x**3/3 + 3*x**2/2 + 13*x. Let l be y(2). Calculate the remainder when 41 is divided by (-103)/(-6) + l/6.
7
Let b(p) = -p**3 + 7*p**2 + 7*p + 9. Let n be b(8). Let m = 117 - 112. What is the remainder when -2 - n/((-3)/108) is divided by m?
4
Let k be (34/68)/(2/32). Let g = 1 - -3. Suppose k*u - 44 = g*u. Calculate the remainder when 21 is divided by u.
10
Let y(o) = o**3 - o**2. Let n(w) = 4*w**3 - 2*w + 12. Let t(f) = n(f) - 3*y(f). Calculate the remainder when t(4) is divided by 39.
38
Suppose 472 = 4*i + 8*t, 4*i + 4*t + 207 = 679. Calculate the remainder when i is divided by 5.
3
Suppose 0 = 3*y + 6*y - 576. Suppose 4*n - 13*n = 135. Calculate the remainder when y is divided by 16 + n/5*1.
12
Let b(n) = -4*n - 4. Let q = 22 + -21. Let i be b(q). Let s(c) = -c**3 - 5*c**2 + 19*c + 11. What is the remainder when s(i) is divided by 27?
24
Suppose 3*n - v - 1118 = -147, -n + 4*v = -342. What is the remainder when n is divided by 106?
4
Let y(d) = -4*d**3 + 92*d**2 + 283*d - 9. Calculate the remainder when 3587 is divided by y(-3).
77
What is the remainder when 1002/(-835) - (-5331)/5 is divided by 253?
53
Suppose -12*q = -9*q + 525. Let b = q - -206. Calculate the remainder when b is divided by 12.
7
Suppose b + 202 = 5*l - 104, 2*l - 150 = 5*b. What is the remainder when 618 is divided by l?
18
Let d be (-2)/(15/9 + -1). Let y be (-4 - -2)/(5 + d). What is the remainder when 63 is divided by y/(-4) + 357/28?
11
Let c = -748 + 1121. Let y = c + -151. Calculate the remainder when y is divided by 32.
30
Suppose 0 = 10*b - 31 - 49. What is the remainder when (18/(-2) + b)*-844 is divided by 77?
74
Suppose 2*s = 2*x - 6*x + 2236, 0 = -s - 4*x + 1126. Let m = s + -1000. Calculate the remainder when m is divided by (-78)/(-5) - (-2)/5.
14
Suppose 0 = 2*f + 2, -6*f + 9*f = 4*v - 363. Let k = -64 + v. Calculate the remainder when 232 is divided by k.
24
Let h be (-18)/(-5) - (-5 - (-140)/25). What is the remainder when 37 is divided by h/5 + (-2077)/(-155)?
9
Suppose -93*k - 1800 = -13983. What is the remainder when 509 is divided by k?
116
Let b(i) = i**3 - 9*i**2 + 2*i + 7. Suppose -4*y + w = -53, -2*y + 0*y + 3*w = -19. What is the remainder when 4/y - (-8640)/189 is divided by b(9)?
21
Let v = 140 - 18. What is the remainder when 132 is divided by 61/v*14*1?
6
Suppose 265*a = 275*a - 8370. Suppose 0 = -4*f + t + 100 + 123, 3*f + 4*t - 172 = 0. What is the remainder when a is divided by f?
53
Suppose -5*d = -7*o + 2*o - 30, 24 = 4*d - o. Let f(z) = z**3 - 8*z**2 + 21*z - 37. Calculate the remainder when 64 is divided by f(d).
13
Let i = 6854 - 6582. What is the remainder when 543 is divided by i?
271
Suppose -7380*n = -7360*n - 920. Calculate the remainder when 326 is divided by n.
4
Suppose 2*g - 4*b + b = 102, -g + 3*b = -48. Suppose -4*v - 35 - 5 = -2*j, -5*j + 30 = -3*v. What is the remainder when g is divided by 2/4 + (-105)/v?
10
Suppose 44 = -3*y + 4*y. Suppose 3*o - 64 = -3*w - 1, 0 = -5*w + o + 129. Suppose 53*k = w*k + 6076. Calculate the remainder when k is divided by y.
41
Let f(c) = -28*c + 525. Calculate the remainder when f(14) is divided by 5.
3
Let x(r) = 15*r**2 + 7*r - 6. Let d = -94478 + 94500. What is the remainder when x(4) is divided by d?
20
Let h = -9 + 13. Let k = 16 - h. Suppose -3*u = 4*a - 118, 7*u + 2*a = 3*u + 144. What is the remainder when u is divided by k?
10
Let s = -912857 - -912863. Let x(i) = i + 63. What is the remainder when x(0) is divided by s?
3
Suppose 5*j - 16 = -d, d = 5*j + 3*d - 17. Suppose 3*a - 8*a + 195 = -4*x, -x = j*a - 100. What is the remainder when 64 is divided by a?
29
Suppose -502 = 23*j - 27*j - 2*h, -3*j - h = -377. What is the remainder when 7307 is divided by j?
125
Suppose 2*k + 54 = 3*w + 4*k, 3*w - 69 = 3*k. Let b = 519 + -520. What is the remainder when w is divided by b*5 + (-5)/15*-39?
4
Suppose -1446*g = -1455*g + 1512. Calculate the remainder when g is divided by 72.
24
Suppose 154 = -19*m + 30*m. Calculate the remainder when m/(-119) - (-22548)/51 is divided by 12.
10
Let y(u) = -u**3 + 17*u**2 - 14*u - 14. What is the remainder when 19 + -10 + -12 - -76 is divided by y(16)?
1
Let r(s) = 2*s**2 - 21*s + 590. What is the remainder when r(21) is divided by 47?
44
Suppose -354*u = -348*u - 1002. What is the remainder when 1335 is divided by u?
166
Suppose -860*d - 75091 = -921*d. What is the remainder when d is divided by 8?
7
Let h = -166 - -260. Let q(o) = o**2 - 13*o - 24. Let z be q(16). What is the remainder when h is divided by (-1)/(-3) - (-568)/z?
22
Let m(u) = 12*u + 27. Let s be m(-2). Suppose s*r - h - 96 = 197, 5*h = 2*r - 217. Let k = 120 - r. Calculate the remainder when 238 is divided by k.
22
Let m = -5472 - -6459. What is the remainder when m is divided by 11?
8
Let x(w) = 3*w - 34. Let t be x(13). Suppose 4*z = -7*o + 5*o + 44, t*o + 4*z = 122. What is the remainder when 233 is divided by o?
25
Suppose 3*o + 5*l = -36, -3*o + 0*l + l - 54 = 0. Let j(g) = g**2 + 18*g + 62. Calculate the remainder when 88 is divided by j(o).
43
Let s = 2682 + -1460. Suppose 0 = 5*k - 7*b - 355 - 5, 2*k = 2*b + 144. What is the remainder when s is divided by k?
70
Let n be (-4)/6*3 - (-1 + -6). Suppose 1094 = n*r + 324. Let m = -44 + r. Calculate the remainder when m is divided by 14.
12
Suppose 75*z - 16*z - 2596 = 0. Calculate the remainder when 82 is divided by z.
38
Let s(z) = -19*z - 420. Let n be (-128)/24 - -5 - 83/3. What is the remainder when s(n) is divided by 16?
0
Suppose m - f - 33 = -0*f, -2*f = m - 33. Suppose 4*u = 12, 5*h = -3*u + 314 + 170. What is the remainder when h is divided by m?
29
Suppose 2*x - u - 31 = 2*u, -2*x + 2*u = -26. What is the remainder when 33 is divided by (-2)/x*-42 - 7/14?
3
Suppose -3*j - 37*z + 3496 = -38*z, 0 = 2*j - 5*z - 2335. Calculate the remainder when j is divided by 115.
15
Let d = 6443 + -6438. Calculate the remainder when 519 is divided by d.
4
Let z(o) = -38*o - 2395. What is the remainder when z(-66) is divided by 117/4 + (-2)/8?
26
Suppose 3*k = 3, -4*w + 3*k = -113 - 76. Suppose 0 = -w*o + 49*o - 13. Let t(y) = y + 10. Calculate the remainder when 90 is divided by t(o).
21
Suppose 0 = r - 4*x - 770, 26*x - 3069 = -4*r + 31*x. What is the remainder when r is divided by 70?
66
Suppose 5*v = v - 25*v + 464. Calculate the remainder when 259 is divided by v.
3
Suppose 2*u - n + 629 = 147, 3*u - n + 725 = 0. Let m = -214 - u. Calculate the remainder when 171 is divided by m.
26
Suppose 2*a = -2, -44*a = 5*x - 40*a - 696. Calculate the remainder when 565 is divided by x.
5
Suppose -3*s = -62*p + 65*p - 39, 27*p - 31 = 5*s. What is the remainder when 51 is divided by s?
1
Suppose -2*a = -4*a + 16. Suppose -f + a = -u, -3*u = -3*f - 2*f + 50. What is the remainder when 23/((-759)/(-22)) - 148/(-3) is divided by f?
11
Let c(a) = a + 9. Let o(t) = -2*t**2 - 36*t - 4. Let y be o(-18). Calculate the remainder when c(0) is divided by 168/63*(-6)/y.
1
Let h(b) = 3*b**3 - b + 0 + 0 - 4*b**3. Let f(x) = -3*x**3 + 8*x**2 - 9*x + 10. Let j(p) = f(p) - 2*h(p). Calculate the remainder when 38 is divided by j(7).
8
Let q = 2 + 2. Let u(z) = 55*z - 11. Let i be u(q). Let x = -128 + i. What is the remainder when x is divided by 42?
39
Suppose 0 = 3*s + 48 - 42. Let w(a) = 7*a**2 + 5*a + 1. Let k be w(s). Suppose -d = -29 + k. Calculate the remainder when 17 is divided by d.
7
Let g(k) = 289*k**2 + 12*k - 571*k**2 - 19 + 283*k**2. Calculate the remainder when g(13) is divided by 77.
75
Let b = -307 + 336. Suppose -5*r - 250 = 270. What is the remainder when b is divided by 2/13 - 816/r?
5
Let m = -2024 + 2036. Let p = 950 - 101. Calculate the remainder when p is divided by m.
9
Let w(v) = -v**3 - 3*v**2 - 63*v - 306. What is the remainder when 6311 is divided by w(-5)?
57
Let m(j) = -j - 13. Let a be m(0). Let t = -8 - a. What is the r