. Let f be (w + 1)*(-16)/12. Suppose -25*i = -22*i - f. Calculate the remainder when i is divided by 5.
3
Suppose 3*d - 14 = 10. Let g(i) = 2*i**3 + 29*i**2 + 11*i + 396. What is the remainder when d is divided by g(-15)?
2
Let i(k) = k**3 - 4*k**2 - 2*k - 2. Suppose 0 = 5*b + 3*s + 20, s = 8 - 3. What is the remainder when i(5) is divided by (0 + (-14 - b))*(1 - 2)?
6
Suppose -6*j + 285 = 3*v - 3*j, v - 3*j - 79 = 0. Let h(u) = 5*u + 103. Let d be h(-25). Let a = v + d. What is the remainder when a is divided by 14?
13
What is the remainder when 419 is divided by 3/(-2)*336/(-12)?
41
What is the remainder when 300/45 + -4 + (-3 - 1628/(-6)) is divided by 3?
1
Suppose 5*s + 482 = c + 1073, 5*c - 87 = -s. Calculate the remainder when s is divided by 62.
55
Suppose -214*f = -265*f + 89709. What is the remainder when f is divided by 8?
7
Let c(q) be the third derivative of q**5/4 + 13*q**4/24 + q**3/3 + 2*q**2 + 7. What is the remainder when c(-4) is divided by 32?
30
Let h(d) = -16*d - 915. What is the remainder when h(-60) is divided by 16?
13
Suppose 0 = 3*z - 5*w + 10, -z + 4*w - 6 = 2. Suppose 9*r + 1352 - 3314 = z. Calculate the remainder when r is divided by 20.
18
Let l(t) = -t + 67. Calculate the remainder when l(5) is divided by 42.
20
Let p = 147 - 412. Let w = -250 - p. What is the remainder when 89 is divided by w?
14
Suppose 8*y = 3 + 21. Suppose -y*h + 23 - 17 = 0. Suppose 0 = -q + h, -2*t + 20 = 2*t + 4*q. Calculate the remainder when 7 is divided by t.
1
What is the remainder when 4139 is divided by 1472/(-80)*(-15)/2?
137
Let x = 154 - 23. What is the remainder when x is divided by -50*(-2)/8 - (-5)/(-10)?
11
Suppose 0 = 9*q + 493 + 461. Let h = -138 + 252. Let b = q + h. What is the remainder when 25 is divided by b?
1
Let v = 679 + -652. What is the remainder when 157 is divided by v?
22
Let y(g) = 3*g**3 - 4*g**2 + 2*g + 2. Let t be y(4). Let k = 430 - 428. Suppose -k*v + 24 = -t. What is the remainder when v is divided by 12?
9
Let s = -39 + 82. Let b be (-2)/(-3) - (-17)/(-3). Let l = 20 + b. Calculate the remainder when s is divided by l.
13
Let a(y) = y**3 - 38*y**2 + 77*y + 72. Let d be a(36). Suppose 3*s = -4*s + d. What is the remainder when s is divided by 6?
0
Suppose -59*q + 42*q + 1557 = -245. Calculate the remainder when q is divided by 19.
11
Let x(o) = -8*o - 20. Suppose -f - 24 = -0*f + 4*r, 3*r = -3*f - 27. Let c be x(f). Calculate the remainder when 50 is divided by (c/4)/(1 + 24/(-33)).
6
Let n(v) = 8*v + 30. Suppose 0 = 4*k - 2*b - 16, 0 = -4*k - k + 4*b + 14. Calculate the remainder when n(k) is divided by 29.
20
Suppose -1173*h = -1165*h - 20336. What is the remainder when h is divided by 69?
58
Suppose -61*g - 10*g + 5780 = -326. Calculate the remainder when 486 is divided by g.
56
Suppose -64 = -w + b, w - 4*b = 196 - 138. What is the remainder when 922 is divided by w?
64
Suppose -3*u = 2*p - 6, -u - 3 = -p + u. Suppose 2*d + d = p*q - 147, d = -3*q + 155. What is the remainder when 354 is divided by q?
48
Let i be (-20)/(-130) + (-54)/13. Let l be (2/i)/(3/60). Let h = l + 35. What is the remainder when h is divided by 13?
12
Let y(w) = 27*w**2 + 24*w + 23. Suppose 0 = -20*a + 17*a + 3*t + 372, 0 = -5*a - 4*t + 602. What is the remainder when a is divided by y(-1)?
18
Let p = -2715 - -2936. Calculate the remainder when p is divided by 20.
1
Let h = -35931 - -51319. What is the remainder when h is divided by 37?
33
Let p(f) = -629*f - 9272. What is the remainder when p(-28) is divided by 86?
84
Let h be (84/126)/((4/243)/2). Suppose 19 = 10*b - h. Calculate the remainder when b is divided by 7.
3
Suppose -3*d + 4733 = -2388 - 2464. What is the remainder when d is divided by 123?
120
Let c(n) = n**2 + 333*n + 5375. Suppose -o + 5*o - 5*r - 13 = 0, 0 = -r - 1. What is the remainder when (o/3)/((-6)/(-117)) is divided by c(-17)?
1
Let f = 812 - 422. Suppose 0*x = -4*x - 5*r + f, 3*x - 279 = 3*r. Calculate the remainder when x is divided by 12.
11
Let o(q) = q**3 + 9*q**2 + 11*q + 35. Let x be o(-8). Let s = x - 4. Calculate the remainder when ((-1)/3)/((-3)/99) is divided by s.
4
Suppose -59*q + 88*q + 3741 = 0. Let z(x) = -2*x**3 + 2*x**2 + 4*x - 1. Let c be z(5). Let j = q - c. What is the remainder when j is divided by 19?
14
Let q(o) = o**3 + 23*o**2 + 31*o + 250. Calculate the remainder when 206 is divided by q(-22).
50
Suppose -68 - 8 = -4*z. Suppose z*k + 288 = 23*k. Suppose -2*w - w = -k. What is the remainder when 93 is divided by w?
21
Calculate the remainder when ((5 - 3) + -4)/(2/(-327)) is divided by 144.
39
Let h(n) = n**3 - 7*n**2 - 2*n + 16. Let b be h(7). Suppose -35 = -b*c + 13. Let l = c + -1. Calculate the remainder when l is divided by 8.
7
Let r be 42/18 - (4 - 55/15). Suppose 9*o = 6*o, -r*m + 154 = 3*o. What is the remainder when 148 is divided by m?
71
Suppose -w + 6*w - 165 = 0. Calculate the remainder when 44 is divided by w.
11
Suppose -4*l + 116 = 4*y, 0*l - 100 = -5*y + 4*l. Calculate the remainder when 298 is divided by (-902)/(-12) - 4/y.
73
Let n = -53 - -87. Suppose f + 2*t = -26, 231 = -5*f - 4*t + 95. Let i = n + f. What is the remainder when 16 is divided by i?
4
What is the remainder when 2303 is divided by -115*(-231)/(-385)*2/(-6)?
3
Suppose 23*b - 29*b = -750. Let a = b - -13. Calculate the remainder when a is divided by (-45)/9*(-8)/2.
18
Suppose 593*k + 9280 = 1057*k. Calculate the remainder when 1 + (-5)/(5/(-156)) is divided by k.
17
Let u = 5765 + -3551. Calculate the remainder when u is divided by 547.
26
Let j = 1044 - 975. Calculate the remainder when 78 is divided by j.
9
Let u(t) = -t**3 + 3*t**2 + 12*t + 5. What is the remainder when 124 is divided by u(-3)?
9
Let b(v) = 3 + 4*v - v - 38 - 9*v. Let l be ((-1)/2)/(4/104). Calculate the remainder when b(l) is divided by 11.
10
Suppose -35*x - 200 = -1075. Suppose -120 = -7*z - z. Calculate the remainder when x is divided by z.
10
Calculate the remainder when 8/((-4)/(-5136)*12) is divided by 144.
136
Suppose -3*l + 48 = -3*c - 0, 4*l - c = 61. Let f be (-10)/3*(0 - 459/l). Suppose 40 = -97*u + f*u. Calculate the remainder when 14 is divided by u.
6
Suppose 0 = -2*m, -78 = 3*q - 3*m - 131 - 208. What is the remainder when q is divided by (-698)/(-18) + (-4)/(-18)?
9
Let c(o) be the third derivative of o**4/24 + 17*o**3/6 - 4*o**2. Let j = -1061 + 1082. What is the remainder when j is divided by c(-9)?
5
Suppose -p + 11 = 2*v, 2*v + 4 = v. Suppose 6*f - 3*f = -6, -f = 3*c - 13. Let l = 39 - c. Calculate the remainder when l is divided by p.
15
Let m(j) = 113*j - 1451. What is the remainder when 131 is divided by m(14)?
0
Suppose q = 5*d + 7, 2*d - 11 = -q + 6*d. Let b(c) = 3*c**2 + 86*c - 4330. Calculate the remainder when q/((2 - 0)/2) is divided by b(-55).
12
Suppose 0 = -7*c + 124 + 37. Calculate the remainder when c is divided by (-6)/(-4) + (-1)/2 - (-10 - -8).
2
Let t(k) = 3*k - 42. Let q be t(24). What is the remainder when 192*(1 + -3 + q/12) is divided by 33?
30
Suppose -285*t = -287*t + 476. Calculate the remainder when 244 is divided by t.
6
Let y(i) = -34*i - 16. Let t(h) = h + 2. Let p(n) = 5*t(n) + y(n). Calculate the remainder when 91 is divided by p(-1).
22
Let y(u) = 6*u - 1. Let r be y(1). Suppose -2*a = r*h + 76, -3*a = -0*h + 3*h + 51. Calculate the remainder when 18 is divided by 20/(-3)*7/(h/3).
8
Suppose 2*u + 2 = 6*k - 7*k, -4*k = -u + 8. Suppose u = -2*s + 6*p - 3*p + 12, -3*p = 2*s - 12. What is the remainder when 2*(519/12 - s/8) is divided by 29?
27
Let l(y) = -2*y**3 - 249*y**2 + 125*y + 43. Calculate the remainder when 913 is divided by l(-125).
10
Let d = 15 - 15. Let u(r) = 8*r**2 - 4*r - 2. Calculate the remainder when u(1) is divided by (-1 - d)/((-8)/8).
0
Let r = -266 + -27. Let m = -255 - r. Calculate the remainder when m is divided by 5.
3
Let q be (-12)/((-8)/4 + 1). Suppose 3*a - q = 102. Let z = -228 + 241. What is the remainder when a is divided by z?
12
Suppose q + 55969 = 4*h, -60*h - q - 13999 = -61*h. What is the remainder when h is divided by 53?
51
Suppose -89 = -3*k + 2*k. What is the remainder when (3 + 527/7)*(-833)/(-238) is divided by k?
7
Let k be -2 + 1 - 504/(-4). Suppose 124*n - k*n + 28 = 0. What is the remainder when 55 is divided by n?
27
Let c