 = -20, 2*t - t = -5*w + 36. Let n(v) = v**3 + 7*v**2 + 2. What is the remainder when n(-6) is divided by w?
6
Let z = 108 - 104. Let n(v) = v**3 + v**2 - 3*v - 10. What is the remainder when n(z) is divided by 3?
1
Suppose 0 = a + 4*o + 15, 5 = 4*a + 2*o + o. Suppose -a*y + 16 = -3*y. Suppose 96 = y*z - 5*z. What is the remainder when z is divided by 7?
4
Let q(u) = 13*u**3 + 4*u**2 - u + 4. Suppose 2*h - w - 2 = 0, -10 = -h - 4*w - 0*w. Let d be h*6/(-4) + 10/2. What is the remainder when q(d) is divided by 18?
14
Suppose -8*b + 103 = -97. What is the remainder when 3197 is divided by b?
22
Let r(d) = -d**2 - 2*d + 58. Let t be r(-7). Suppose t*a - 1025 = 21*a - 3*w, 5*a + 2*w = 2579. Calculate the remainder when a is divided by 74.
73
Suppose 42*x - 4*b = 37*x + 970, -995 = -5*x - b. What is the remainder when x is divided by 65?
3
Suppose -20*w + 94 + 1086 = 260. Calculate the remainder when 63 is divided by w.
17
Suppose 0 = 5*v + 4*j - 179, -74 = 5*v - 7*v - j. Calculate the remainder when 45 is divided by v.
6
Suppose 0 = -6*p - 4*u + 4584, 3*p - 788 = 4*u + 1540. Calculate the remainder when 773 is divided by p.
5
Let k = -75 + 87. What is the remainder when (9/k + 0)/(1/132) is divided by 10?
9
Suppose -2*k = -4*f - 5472, 0 = -127*k + 130*k - 5*f - 8215. Calculate the remainder when k is divided by 547.
15
Let m = 2952 + -165. What is the remainder when m is divided by 164?
163
Suppose -g = 2*c - 25, -5*g = -c - 3*c + 57. What is the remainder when 116 is divided by c?
12
Suppose -3*m - 27 = 0, m - 245 = -4*r + 154. What is the remainder when r is divided by 71?
31
Let i(l) be the second derivative of l**4/2 + l**3/6 - 11*l**2 - 6*l + 6. Calculate the remainder when 170 is divided by i(-3).
25
Let j = 4067 - 3810. What is the remainder when j is divided by 52?
49
Let n(p) = -55*p**3 + 14*p**2 - 2*p + 3. Let q(d) = 55*d**3 - 18*d**2 + 3*d - 4. Let u(b) = 4*n(b) + 3*q(b). What is the remainder when u(-1) is divided by 49?
7
Let m(x) = 2*x**2 - x - 61. Let j be m(-5). Let p(y) = -174*y - 55. Calculate the remainder when p(j) is divided by 16.
13
Suppose -4*p + 48 = 3*v - 23, 0 = -4*p + 3*v + 41. Suppose -2*s = -4*y - 0*s - 38, -y = -5*s + p. Let j = y + 46. What is the remainder when j is divided by 11?
4
Suppose 7*f - 50 = 12*f. Let t be 1 - 1/(-2) - f/4. Calculate the remainder when t*-1 + 56/1 is divided by 19.
14
Let m(r) be the first derivative of r**3 + 3*r**2/2 - 34*r + 124. Calculate the remainder when 72 is divided by m(-5).
20
Suppose 3*w + 2*f - 330 + 109 = 0, -400 = -5*w + 3*f. Let k = w + -9. Calculate the remainder when 6 is divided by (k/51)/(1/3).
2
Let b(j) = 8*j + 70. Let d be b(-3). Suppose -d*y = -29*y - 969. What is the remainder when 339 is divided by y?
54
Calculate the remainder when (-1)/(1/3) + 76 is divided by (15 - 5)/((-2)/(-4)).
13
Suppose 4*j = 47 + 53. Let r = 99598 - 99551. Calculate the remainder when r is divided by j.
22
Suppose -39 = 45*q - 50*q - 2*f, -2*q + 30 = -4*f. What is the remainder when 843 is divided by q?
6
Suppose 235*i - 740 - 15240 = 0. Calculate the remainder when ((-2)/6)/(14/(-6762)) is divided by i.
25
Let b(m) = m + 47. Suppose 0 = x + 3*a + 15, 3*x + 3*a + 20 = -a. Calculate the remainder when b(x) is divided by 27.
20
Suppose -q - 3*b = -7, -5*q - 41 - 4 = -5*b. Let f(o) = o**3 + 4*o**2 - 10*o - 1. Calculate the remainder when 142 is divided by f(q).
22
Let z = -21925 + 21959. Let f(a) = 7*a**2 - 6*a - 2. Calculate the remainder when f(-5) is divided by z.
33
What is the remainder when (0 + 29*26)*(136/(-16))/(-17) is divided by 199?
178
Suppose -6*o - 5*n - 870 = -11*o, -3*o - 5*n + 554 = 0. Let b = -113 + o. Calculate the remainder when 257 is divided by b.
62
Let w = 3308 - 3302. What is the remainder when 160 is divided by w?
4
Suppose 0 = k + w - 19, 10*k - 9*k - w - 17 = 0. Calculate the remainder when 3076 is divided by k.
16
Let z(n) = 4*n**2 + 16*n + 77. Calculate the remainder when 755 is divided by z(-4).
62
Let u(i) = 2*i**3 - 9*i**2 - 6*i + 9. Let h be u(5). Suppose 7 = q + 2*l - 23, 125 = h*q + 3*l. What is the remainder when 71 is divided by q?
7
Suppose 5*j + 31 - 256 = -5*x, 4*x - 3*j = 180. Calculate the remainder when 573 is divided by x.
33
Suppose -785 = -3*i - t, 5*t - t - 800 = -3*i. Suppose 17*u = 7*u + i. What is the remainder when 137 is divided by u?
7
Suppose -5*l + 65 = -0*l. Let r(v) = 22*v**2 - v. What is the remainder when 4*13 - (-52)/l is divided by r(1)?
14
Calculate the remainder when 3597 is divided by (-40 - 40)*12/(-16).
57
Suppose -c + 27 = 5*b, -88*c = -83*c - 3*b - 303. Suppose -55 = 2*v + 47. Let m = -35 - v. Calculate the remainder when c is divided by m.
9
Let l(j) = -2*j - 52. Let b be l(-41). Calculate the remainder when 25 is divided by 6/(-9) + 0 - (-170)/b.
0
Let m be (-1 - (-25)/15)/(4/(-66)). Let n = m - -68. What is the remainder when 113 is divided by n?
56
Suppose -4*s + 9 = -s, -4*p - 5*s + 99 = 0. Suppose p*w - 19*w - 406 = -4*i, 0 = 3*i - 4*w - 288. What is the remainder when 195 is divided by i?
95
Let h(j) be the third derivative of 0 + 1/8*j**4 - 12*j**2 - 1/120*j**6 - 1/6*j**3 + 2/15*j**5 + 0*j. What is the remainder when h(6) is divided by 10?
9
Let f = 45 - 47. Calculate the remainder when 30 is divided by (2 - 4*-6) + f.
6
Calculate the remainder when 3892 is divided by (-9 + 10)*2/(-2)*1*-52.
44
Suppose 1338 = 25*r - 612. What is the remainder when 230 is divided by r?
74
Let g(p) = 2*p**2 - 10*p - 317. What is the remainder when g(-16) is divided by 45?
40
Let f = 274 - 270. Suppose -5*a = z - 877, f*a - 2*a - 3*z = 344. Calculate the remainder when a is divided by 47.
34
Suppose -3*c + 14 = -2*c. Calculate the remainder when c is divided by (-20)/(-15)*(814/(-88) - -16).
5
Suppose -193 + 181 = -3*m, -j + 126 = -2*m. Calculate the remainder when j is divided by 130.
4
Suppose 0 = 4*c - 20, 836*c - 831*c + 170899 = 4*k. Calculate the remainder when k is divided by 9.
8
Let z = 1245 + -997. Calculate the remainder when z is divided by 68.
44
Let s be 3 + 1 - ((2 - -2) + -3). Calculate the remainder when 32/s*-5*-3 is divided by 27.
25
Let h(s) = -5*s - 15. Let x be h(-4). Suppose 0*t + t = 3*g + 97, -x*t + 5*g + 455 = 0. Calculate the remainder when 1581 is divided by t.
85
Let a = -27 - -62. Let h = -128 - -231. What is the remainder when h is divided by a?
33
Suppose 3*c + 0 - 15 = 0. Suppose -338 = 5*k - 4*v, c*k + 344 - 22 = -4*v. Let f = -45 - k. What is the remainder when f is divided by 6?
3
Let d = 77447 - 77211. What is the remainder when d is divided by (16/12)/(2/72)?
44
Let l be ((-4)/10)/((-2)/(-80)). Calculate the remainder when 3 is divided by (2/(-4))/(-1 + (-12)/l).
1
Suppose -13693 = -q + 2*v - 5*v, -v = -2*q + 27407. What is the remainder when 96 is divided by (-2)/21 - q/(-546)?
21
Suppose g = -6*g + 1092. Suppose 28*v = 25*v - g. Let c = -22 - v. What is the remainder when 57 is divided by c?
27
Suppose 355 - 281 = 2*z. Let u(q) = -q**2 - 10*q + 16. Let f be u(-11). Let g = 8 + f. Calculate the remainder when z is divided by g.
11
Suppose 0 = -4*f + h + 228, 3*h = -2*f - 2*f + 244. Let y = f + -43. Calculate the remainder when 38 is divided by y.
8
Let l(u) = -44*u**2 - 1177*u + 50. What is the remainder when l(-26) is divided by 286?
50
Let i(n) = 742*n - 20673. Calculate the remainder when i(56) is divided by 348.
347
Let q(h) = 27*h - 78. Let g be q(0). Let r = 60 - g. What is the remainder when r is divided by 12?
6
Suppose -3*i + 6381 = -90. Calculate the remainder when i*34/85*10/12 is divided by 48.
47
Let m(s) = 531*s - 513. What is the remainder when 56 is divided by m(1)?
2
Suppose 0*c - 3*c + 66 = 0. Let m(v) = v**3 + 20*v**2 - 71*v + 39. Suppose 0 = 14*o - 4*o + 230. Calculate the remainder when m(o) is divided by c.
19
Suppose 0 = -4*b + i - 125, -141 = 5*b - 5*i + 34. Calculate the remainder when 93 is divided by (b/(-25))/(-4 + (-222)/(-55)).
27
Calculate the remainder when 280 is divided by -5 - 43/(258/(-900)).
135
Let k = 13035 - 12358. What is the remainder when 1359 is divided by k?
5
Let a = 358 + -366. Let z(f) = f**3 + 10*f**2 + f + 1. Calculate the remainder when z(a) is divided by 2.
1
Suppose -13*f + 8*f + 43093 = -d, 3*f = -2*d + 25848. What is the remainder when 