 z)/((-1)/(-69)) is divided by 5?
4
Let f(g) = 2*g**3 + 18*g**2 + 14*g + 11. Calculate the remainder when 463 is divided by f(-8).
4
Suppose -5*x + 6*g = 3*g - 8589, 1715 = x - g. Calculate the remainder when x is divided by 134.
114
Let s be -45*(-3)/(3 - 0). Calculate the remainder when (s/2)/(102/680) is divided by 39.
33
Suppose -f + 25 = 21. Let w(g) = 45*g - 60*g + 10 + f. Calculate the remainder when w(-7) is divided by 30.
29
Let a = 14 - 11. Suppose 5*h = -a*h + 296. Let q = h + -3. What is the remainder when 134 is divided by q?
32
Let c(t) = 491*t + 14836. Let v(m) = 10*m - 5. Calculate the remainder when c(-30) is divided by v(4).
1
Suppose 7 - 1 = 3*m. Suppose 3*h - h = 2*v, m*h + 6 = 5*v. What is the remainder when 81 is divided by (1 + h)/((-27)/(-198))?
15
Suppose -2*t + 5*t - 2123 = -2*q, 3517 = 5*t - 2*q. Let g = t - 680. Calculate the remainder when 70 is divided by g.
20
Let w be (-114)/7 + 80/280. Let a(z) = z**2 + 5*z - 4. What is the remainder when 2/16 - 62/w - -35 is divided by a(3)?
19
Suppose -2*o + 4*o - 40 = 0. Let t(c) = -c**3 + 19*c**2 + 24*c - 41. What is the remainder when 428 is divided by t(o)?
38
Let d = -5991 - -14042. Calculate the remainder when d is divided by 15.
11
Suppose 3*k - 7540 = -7552, 5*k + 137 = 3*z. What is the remainder when 2180 is divided by z?
35
Suppose -5*l + 56 = -59. Let j(d) = -225*d + 8393. What is the remainder when j(37) is divided by l?
22
Let x be 20/(-6)*(2 + (-78)/30). Suppose -2*j + 2*z = -z - 302, -5*j - x*z = -755. What is the remainder when j is divided by 22?
19
Suppose 0 = -28*i + 1218 + 9783 + 11931. What is the remainder when i is divided by 374?
71
Suppose -q + 46 = 3*p - 517, 575 = 3*p - 2*q. What is the remainder when 753 is divided by p?
186
Suppose -216 = -226*l + 85*l + 117*l. Let w(q) be the first derivative of 13*q**2/2 - q - 2. Calculate the remainder when w(2) is divided by l.
7
Let k be (-1 - -5)/(36/63). Suppose 0 = -k*a + 14 + 21. Suppose -2*b = -a*b + 51. Calculate the remainder when 99 is divided by b.
14
Let h(x) = -2*x**2 - 12*x + 10. Suppose z = -232 + 226. What is the remainder when h(z) is divided by 7?
3
Let g = 132 - -56. Let s(w) = -2*w - 6. Calculate the remainder when g is divided by s(-8).
8
Suppose -206*v + 21880 - 760 = 34*v. Calculate the remainder when 301 is divided by v.
37
Suppose 0 = -4*h + 99 + 237. Suppose -69 = 13*x - 121. Let a(t) = -79*t + 345. What is the remainder when h is divided by a(x)?
26
Suppose 0 = 2*p + 21*u - 24*u - 214, 2*p + 5*u - 230 = 0. Calculate the remainder when 150 is divided by p.
40
Let i(q) = -q**2 - 5*q + 499. What is the remainder when 228 is divided by i(19)?
13
Suppose 17*w = 3884 + 3596. Let n = 516 - w. What is the remainder when 223 is divided by n?
71
Let z = -937 - -958. What is the remainder when 796 is divided by z?
19
Let q = 22088 + -22079. Suppose -4*w + 771 - 207 = 0. What is the remainder when w is divided by q?
6
Let l = -15092 - -16875. What is the remainder when l is divided by 13?
2
What is the remainder when 664 is divided by (7 + -170)/(6 + (-1 - 6))?
12
Suppose 17*s - 3420 = -18*s + 3650. What is the remainder when 624 is divided by s?
18
Let t = 187 + -57. Suppose 324 = 13*w - 53. Calculate the remainder when t is divided by w.
14
Suppose 20 = k + 3*v, 80*k - 76*k - 5*v = 46. Let r(g) = g**2 + 2*g + 1. Suppose -3*n + 18 = -6*n. Calculate the remainder when r(n) is divided by k.
11
Suppose -5*f + 4*y = -1152, 7*f - 224 = 6*f + 4*y. Calculate the remainder when f is divided by 53.
20
Suppose 324 + 1 = 5*c. Let l be 13/3 + -4 + (-138)/9. Calculate the remainder when c is divided by (l/(-15))/((1/(-22))/(-1)).
21
Let a be (-2)/10 + 1308/(-10). Let k = 227 + a. What is the remainder when k is divided by (-127)/(-5) + 4/(-10)?
21
Calculate the remainder when ((-6032)/312)/(-1*6/189) is divided by 334.
275
Let s = -1068 + 1092. Suppose v - 2*v + 3 = 0. Suppose v*d - 74 = d. What is the remainder when d is divided by s?
13
Calculate the remainder when 996 is divided by 72*1 + 80/(-208)*-13.
72
Let k(v) = -v**3 + 5*v**2 + 15*v - 5. Let u be k(7). Suppose u*d - 4*d = 102. What is the remainder when d/5*(-15)/((-12)/(-4)) is divided by 13?
12
Let k = 156 - 148. Suppose -64*g + 90*g = 520. Calculate the remainder when g is divided by k.
4
Suppose 0 = 4*u + 160 - 540. Let b = 21046 + -20997. Calculate the remainder when u is divided by b.
46
Let l = -103 + 135. Suppose 0 = 9*u + 293 - 896. Calculate the remainder when u is divided by l.
3
Let r be (-6 - 68/(-10))*-5. What is the remainder when 527 is divided by (33/(-42)*-8)/(r/(-14))?
21
Suppose 0 = -103*l + 1668 + 1319. What is the remainder when 384 is divided by l?
7
Let t = 25704 - 25655. Let w = 37 + -19. Calculate the remainder when t is divided by w.
13
Suppose -2*d = -2*t + 224, -326 = 9*t - 12*t + d. Calculate the remainder when t is divided by 43.
21
Let w be 170/(-136)*(2 - 1)*-16. Suppose 4*h - 756 = -w. What is the remainder when h is divided by 63?
58
Let g(y) = -3*y + 27. Let v be g(9). Suppose v = 174*f - 176*f + 74. What is the remainder when f is divided by 17?
3
Let j(z) = 12*z - 231. Let p be j(31). Suppose 41*u = 40*u + p. Calculate the remainder when u is divided by 8.
5
Let l = 9262 + -8566. What is the remainder when l is divided by 332?
32
Let m = -1309 + 1332. Calculate the remainder when 34 is divided by m.
11
Let o be -3*(-2 - -275)*-1. Let w = -420 + o. What is the remainder when w is divided by 16?
15
Calculate the remainder when 4/3 + 450156/207 is divided by 99.
97
Let b be -4 - (0 - -3 - 22). What is the remainder when 12 is divided by (125/b - 9)/((-1)/12)?
4
Suppose 4*f = -4*a + 176, 0 = f - 5*a - 11 - 39. Suppose f = -2*v + 187. Calculate the remainder when v is divided by 8.
7
Suppose 10*w - 64 = -14. Suppose 5*b - 2*t - 83 = -6*t, w*t - 23 = -2*b. Calculate the remainder when 71 is divided by b.
14
Suppose 5*w - o = 28, 0*o + 3 = -o. Suppose 5*t - 244 = 3*q, -3388*t + 3391*t + 4*q - 42 = 0. What is the remainder when t is divided by w?
3
Let r(i) = -3*i**3 + 4*i**2 + 5*i**3 - i**3 - 13*i**2 + 13*i - 1. Let s = -60983 - -60996. What is the remainder when r(9) is divided by s?
12
Let q(x) be the second derivative of -x**5/20 - x**4/12 + 14*x**3/3 - 5*x**2/2 + 49*x. What is the remainder when 26 is divided by q(-6)?
5
Let j = 27663 - 25778. Calculate the remainder when j is divided by 233.
21
Let g be 1/4 - (-1)/(-4). Suppose -26 = -2*z - 4*x, g = -3*z + z - 2*x + 18. What is the remainder when (-7 + 3)/(z/(-10)) is divided by 5?
3
Let r = -55 + 653. Suppose -235 = -4*d - g, -9*d + 7*d + 5*g + 145 = 0. What is the remainder when r is divided by d?
58
Let u = 4993 + -4916. What is the remainder when 599 is divided by u?
60
Let n(y) = y**2 + 6*y - 33. Suppose 0 = -3*s - 3*s - 18. Let o(m) = -m**3 - 5*m**2 - 2*m. Let h be o(s). Calculate the remainder when n(h) is divided by 22.
17
Suppose -4*d + 11 = -4*k + 27, 9 = k + 4*d. Calculate the remainder when 727 is divided by k.
2
Let o(q) = 12*q**3 - 74*q**2 + 281*q + 2. Calculate the remainder when o(4) is divided by 174.
14
Let u(j) = j**3 + 14*j**2 - 20*j - 202. What is the remainder when u(-7) is divided by 193?
88
Let x(h) = 4*h**2 + 14*h - 39. Let a be x(5). Suppose 3*z - 2*t - 68 = 0, 4*t - 15 + a = 5*z. Calculate the remainder when 79 is divided by z.
19
Let r = -18695 - -19656. What is the remainder when r is divided by 73?
12
Suppose 42860*w = 42916*w - 2296. What is the remainder when 203 is divided by w?
39
Suppose 4*p - 1486 = 5*d, 40*p + 1482 = 44*p - 3*d. What is the remainder when p is divided by 31?
28
Suppose -4*c - q = -10 - 5, 5*c + q = 18. Suppose -4*h = -c*h + a, 4*a = 0. Calculate the remainder when 9 is divided by (-3)/(-12) + ((-23)/(-4) - h).
3
Let i = 73 + 90. Let y(l) = 162*l + 14756. Calculate the remainder when i is divided by y(-91).
9
Let w = 290 - 144. Let z = w - 84. Suppose -56 = -2*f + z. What is the remainder when f is divided by 20?
19
Let f(b) = 227*b + 68. Let o be f(-4). Let v = -766 - o. What is the remainder when v is divided by 25?
24
Let y(f) = 18 - 3*f - 5 - 475*f**2 + 474*f**2. Let s be y(-5). Suppose -s*r + 24 + 23 = -w, 15 = -3*w. Calculate the remainder when 39 is divided by r.
11
What is the remainder when (1722/9