m = -77 + t. Calculate the remainder when 65 is divided by m.
17
Calculate the remainder when 418 is divided by (10 - 5)/(13 + (10 - 22)).
3
Suppose 7*v - 2877 = -14*v. Suppose v - 93 = j. What is the remainder when 129 is divided by j?
41
Suppose 2*o - 2*d = -5 + 3, -o = 3*d - 3. Suppose o = 4*y + 36 - 8. Let g(j) = 2*j**2 + 8*j + 5. What is the remainder when g(y) is divided by 16?
15
Let l be 4 - (-12)/(-3) - 53. Let p = l - -38. Let m = p - -31. Calculate the remainder when 79 is divided by m.
15
Let a(m) be the second derivative of -m**5/10 - m**4/4 + m**3/3 + 13*m**2/2 + 80*m. What is the remainder when 65 is divided by a(-3)?
31
Let j(y) = -248*y - 24. Let a be j(-2). Let z = a - 407. What is the remainder when z is divided by 18?
11
Let z(g) = g**2 - 30*g - 128. Let v(o) = -o**3 - 4*o**2 - 7*o - 3. Calculate the remainder when v(-3) is divided by z(34).
1
Suppose 5*d - 1503 = -3*j, j = 2*d - 155 - 455. Calculate the remainder when d is divided by -3 + 5565/135 + 4/(-18).
37
Suppose 3*p - l + 2 = 0, 0 = 2*l + 9 - 1. Let h(j) = -13*j - 17. What is the remainder when (-1 - (-1)/1) + 15 is divided by h(p)?
6
Suppose -2*r = -107 - 141. Let q = -53 + r. Suppose 4*w = 2*w + 52. Calculate the remainder when q is divided by w.
19
Let n be 112/42*150/(-8) + 5. Let l = n + 53. Calculate the remainder when 19 is divided by l.
3
Suppose -3*w + 63 = h + 2*w, 5*w = 0. Let o(p) = 40*p**2 + p - 1. Let j be o(1). Suppose 4*d = 9*d - j. What is the remainder when h is divided by d?
7
Let z be 46/207 - (2/9 + 0). Suppose 5*y - 283 = 4*b, -4*b + y + z*y = 303. Let t = 108 + b. Calculate the remainder when 60 is divided by t.
29
Suppose -27*n + 5*k = -32*n - 4390, 3*n + 5*k = -2628. Let t = n - -911. Calculate the remainder when t is divided by (-4)/10 + 261/15.
13
Suppose -2*w + 4*g + 56 = 0, 3*g = w - 64 + 38. Calculate the remainder when 74 is divided by w.
10
Let l(p) = -p**3 + 22*p**2 + 26*p - 56. Suppose 0 = -2*g + 83 + 273. Let v = g + -38. What is the remainder when v is divided by l(23)?
10
Let q(d) = -d**3 - 12*d**2 + 14*d + 7. What is the remainder when 449 is divided by q(-14)?
43
Let b(p) = -40 - 22 + 8 - 4*p - 2 - 3*p. Let q = -5 + -4. What is the remainder when 15 is divided by b(q)?
1
Let d(t) = 154*t**2 - 921*t - 3. What is the remainder when 1497 is divided by d(6)?
12
Suppose 281*b + 41253 = 307*b - 1465. Calculate the remainder when 3293 is divided by b.
7
Suppose 5*q - 2*z - 249 = 0, 4*q + 4*z = -61 + 277. Let d(s) = s**2 + 12*s - 5. Let p be d(-7). Let x = q + p. What is the remainder when 75 is divided by x?
9
Let y be (-3)/15 + 11/55. Suppose 3*w + 5*s - 2*s - 276 = 0, y = 5*w + 3*s - 462. Calculate the remainder when 272 is divided by w.
86
Let l be (3/(-3) - -90)/1. Suppose -3*n = u - 144, n - 3*u + l = 3*n. Let z = 2576 + -2571. What is the remainder when n is divided by z?
4
What is the remainder when (-23 - -26) + 415 + -11 is divided by 8?
7
Let v(z) = -6*z**2 - 6 + 104*z**2 + 6*z - 87*z**2. Suppose 6 - 11 = -5*c. Calculate the remainder when v(c) is divided by 4.
3
Suppose -70*w - 9768 = -74*w. Suppose 0 = 28*y + 5*y - w. What is the remainder when y is divided by 25?
24
Let t(b) = 3*b**2 + 45*b + 177. Calculate the remainder when 179 is divided by t(-4).
44
Suppose -100*h + 3515 = 2*r - 101*h, 5*r + 4*h = 8807. What is the remainder when r is divided by 22?
21
Suppose -96*b + 29822 = -22*b. What is the remainder when b is divided by 35?
18
Let v = 39855 - 26789. What is the remainder when v is divided by 12?
10
Let d = 185 + -179. Suppose 2*i = d, -2*s + 237 = s - 2*i. What is the remainder when s is divided by 25?
6
Let p(d) = d**2 - d + 2. Let h be p(0). Let o(t) = 2*t**3 - 3*t**2 + 2*t - 3. Calculate the remainder when (6/(-22))/(203/(-6699)) is divided by o(h).
4
Let q be (4 + 116/(-8))*(-5 + -1). Let r = -54 + q. Calculate the remainder when 37 is divided by ((-1)/(-4) - r/4)*-10.
17
Suppose 5*k - 34 - 66 = 0. Let z be (-9)/(-63) - k/(-7). Suppose 7 = z*u - 5*a - 8, 4*a - 32 = -2*u. What is the remainder when 27 is divided by u?
7
Let j(u) = 11 + 2*u**2 + 15*u + 14 + 15 - 35. What is the remainder when 123 is divided by j(-9)?
27
Let g = -16457 - -16506. Suppose -2*v + 201 = 3*k, -191 = -v - v - k. Calculate the remainder when v is divided by g.
44
Let p(a) = -a**3 + 38*a**2 - 104*a + 32. What is the remainder when 602 is divided by p(35)?
66
Let f = -28029 + 29452. What is the remainder when 2855 is divided by f?
9
Let j(m) = 7*m**2 - 135*m - 64. Calculate the remainder when j(-14) is divided by 100.
98
Suppose 118*k - 3556 = 2360 + 1164. What is the remainder when (59/(-2))/(2/(-8)) is divided by k?
58
Suppose -c + 13 = r, -2*r = -5*c - 3*r + 49. Calculate the remainder when 63 is divided by (-2)/(-2)*(c + 4).
11
Let t = 1 - 11. Let w be (-478)/t - (-5)/25. Suppose 3*j + 4*y = 27, 0 = -5*j - y - 3 + w. What is the remainder when j is divided by 4?
1
Let v = 29 - -69. Let q be ((-58)/(-14) + -5)/(4/(-336)). Suppose 3*j - q = 4*d, 0*j + 5 = j + 5*d. Calculate the remainder when v is divided by j.
18
Let c = -174 + 179. Suppose -12*i - c = -137. Calculate the remainder when i is divided by (2 + (-3)/2)*8.
3
Let t = -13 + 45. Suppose 6*v - 45 = 237. Let a = v - 36. What is the remainder when t is divided by a?
10
Let m = -39399 + 39404. What is the remainder when 207 is divided by m?
2
Let s(o) = 3*o**3 + 10*o**2 - 84*o + 176. What is the remainder when s(17) is divided by 90?
87
Let h = 52 + -21. Let m = -249 + 252. Suppose 0 = -m*a - 161 + 209. Calculate the remainder when h is divided by a.
15
Suppose -s = -l + s + 18, 4*l - s - 86 = 0. What is the remainder when 56/(-12)*222/(-16) + 7/28 is divided by l?
21
Suppose 8*k - 361 = -3*h + 4*k, h + 2*k = 119. Calculate the remainder when h is divided by 85.
38
Let y(u) be the second derivative of -2*u**3 - 125*u**2/2 - 34*u. Calculate the remainder when y(-13) is divided by 16.
15
Let v = -142537 + 142795. What is the remainder when v is divided by ((-58)/(-6))/((-1)/(-3))?
26
Suppose -3*c + 12 = -3*r, 14 + 2 = -3*r - c. Let a(q) = -q + 12. Let b(k) = k**3 + k**2 - 9*k - 2. What is the remainder when a(r) is divided by b(3)?
3
Let g be (18/63)/(4/70). Suppose -5*v = -g*d - 220, v - 4*d - 56 = -6. What is the remainder when 209 is divided by v?
41
Let l(z) = -z**2 - 19*z + 8. Let r be l(-19). Let d(m) = -m**3 + 7*m**2 + 10*m - 1. Calculate the remainder when 29 is divided by d(r).
14
Let w = 9580 + -9556. What is the remainder when 1126 is divided by w?
22
Suppose -3*y + 0*y = -18. Suppose -5*t = 113 - 463. Suppose 0 = 6*b + 28 - t. Calculate the remainder when b is divided by y.
1
Let t = 5 + 2. Let o = -32199 + 32221. Calculate the remainder when o is divided by t.
1
Let w(n) = -n**3 - 33*n + 4 + 5*n**2 + 54*n - 25*n. Let c be w(3). Suppose 0 = -k + 4*q + c, 3*k - q - 27 = k. What is the remainder when 41 is divided by k?
13
Let v(b) = b**3 - 18*b + 211. What is the remainder when 1471 is divided by v(0)?
205
Suppose 4*o = -o - h + 388, -o - h = -80. What is the remainder when o is divided by 4 - -22 - 0/1?
25
What is the remainder when 3982 is divided by ((-12)/9)/(36/(-324))?
10
Let t be 8 + (152/57)/((-4)/6). Suppose 4*o + 0*d - 60 = 2*d, -48 = -t*o + 5*d. What is the remainder when 371 is divided by o?
14
Let v = -15944 + 17703. What is the remainder when v is divided by 44?
43
What is the remainder when (2/(-7))/(18/(-101052)) is divided by 266?
8
Suppose -3*d = 2*w - 367, -2*d = 3*d + 2*w - 605. Suppose 5*g = 111 + d. Suppose -41 - 52 = -2*a + n, g = a - n. What is the remainder when a is divided by 16?
15
Suppose 2*q = 5*t + 2425, -t + 4*q = 9*q + 458. Let o = -449 - t. What is the remainder when 112 is divided by o?
10
Let p = 58 + -25. Suppose -3*x - 16*a + 44 = -15*a, 0 = 2*a + 8. Calculate the remainder when p is divided by x.
1
Suppose 5 = -q + 2*a + 103, 2*q + a = 176. Calculate the remainder when q is divided by 564/14 - 4/14.
10
Suppose -m - 3*b + 6 = 0, 4*m = 2*b - 0*b + 10. Suppose -4*y + m*v + 438 = v, 2*y - 5*v = 231. What is the remainder when y is divided by 37?
34
Suppose 422*t - 403*t = 3382. Let p(y) = y**3 + 2*y**2 - y. Let o be p(3). Let v = -6 + o. Calculate the remainder when t is divided by v.
34
Let s(z) = z**3 - 5*z**2 + 8*z - 5. Let c be