- n**3/3 + 2*n**2. Suppose -26*c + 17*c = 9. Calculate the remainder when t(c) is divided by 3.
1
Let i(f) = 4*f - 24. Let t be i(6). Suppose -3*x + 3*l + 87 = -t*l, -3*l + 123 = 4*x. Calculate the remainder when 149 is divided by x.
29
Let x = 2743 - 1511. Suppose -5 = n - 4*c - 298, -4*n + c = -x. Calculate the remainder when n is divided by 39.
36
Suppose -z + 3*z - 4*a - 16 = 0, 0 = 3*z + 2*a - 8. Let g be 2/(10/1575)*z/(-6). What is the remainder when g/175*440/(-6) is divided by 18?
16
Let h(z) = z + 7. Let j be h(-7). Let p be (-4 + 5)*(25 - -4). Suppose 4*o = w - p, j = -2*w - 3*w + o + 50. What is the remainder when w is divided by 4?
1
Suppose 4 = 19*a - 21*a. Calculate the remainder when 95 is divided by ((-12)/9)/(a/36*1).
23
Suppose -5*h - 5*w + 5710 = 0, 2275 = 490*h - 488*h + 5*w. What is the remainder when h is divided by 39?
14
Let a be (-42 - (1 + 5))*(-5)/4. Let d = 69 - a. Calculate the remainder when 843 is divided by d.
6
Suppose 88*n - 48884 = 42108. Calculate the remainder when n is divided by 504.
26
Let l(d) = -d - 4. Let s be l(-9). Let k(j) = 9*j + 16. Let p be k(s). Suppose 4*f - 14 = 5*m - p, 6 = -2*f. Calculate the remainder when 62 is divided by m.
6
Let z(l) = -6*l - 2. Let x be z(1). Let a = -6 - x. Let n = 107 - 105. What is the remainder when a is divided by n?
0
Suppose -2 = 3*k - 2*g - 10, -2*k - 4*g - 16 = 0. What is the remainder when (-338)/(-4) + (-2)/4 is divided by (k - 129)*27/(-81)?
41
Suppose -5*s + 6*s - 11 = 0. Let i = 464 + -479. Let b(v) = -11*v - 134. What is the remainder when b(i) is divided by s?
9
Let d be (-3)/9 - (-1 + 58/(-3)). Let n(m) = 5*m + 10*m + 3*m**2 - m**2 + d - 4*m. What is the remainder when n(-11) is divided by 36?
33
Let p(b) = 19*b**3 + 4*b**2 - 2*b + 1. Calculate the remainder when 34 is divided by p(1).
12
Let a = 132 - 228. Let z = a + 59. Let c = z + 97. Calculate the remainder when c is divided by 21.
18
Suppose 303 = -g + 4*o + 2281, 2*g + 3*o - 3956 = 0. What is the remainder when g is divided by 44?
42
Let i(p) be the second derivative of -p**5/5 + p**4/4 + 2*p**3/3 + p**2/2 - 2*p + 46. What is the remainder when 106 is divided by i(-2)?
32
Suppose -i - 385 - 439 = -5*i. Calculate the remainder when 1022 is divided by i.
198
Let r(c) = 3*c**2 + 21*c + 14. Let v be r(-14). Suppose 688 + v = 4*x. Calculate the remainder when x is divided by ((-15)/2)/(3/(-20)).
49
Let u(t) be the third derivative of t**5/60 - 11*t**4/24 - 41*t**3/6 - 30*t**2 - 2*t. Calculate the remainder when u(20) is divided by 24.
19
Suppose 2*y + 0*v - 78 = -2*v, -2*v = 4*y - 162. Let t be -7*(-1 - -4)/(-21). Calculate the remainder when y is divided by 6/(t*5/10).
6
Let a be 1/(((-413)/(-103) - -1) + -5). Let j = 131 - a. Calculate the remainder when 76 is divided by j.
20
Let v(m) = 2*m**2 + 3*m - 13. Let c be v(-6). Suppose -h + 4*b = 26, 9 + c = -5*h + 4*b. Let r = 4 - h. Calculate the remainder when 38 is divided by r.
8
Suppose 0 = 11*l - 11 + 22. Calculate the remainder when 61 is divided by 38 + l + 30/(-6).
29
Suppose 3*s = 2*h + 588, -h + 158 = 2*s - 213. What is the remainder when 776 is divided by s?
16
Suppose 725 = 5*v - 0*u - 5*u, -4*v + 3*u = -581. Calculate the remainder when 433 is divided by v.
141
Let o(k) = k**2 + 7*k + 12. Let b be o(-5). Let u be ((-261)/(-18))/(1/b). Suppose u - 12 = l. Calculate the remainder when l is divided by 5.
2
Let f(d) = -d**2 + 13*d - 3. Let n be f(12). Let r = 242 + -228. Let b = r + n. What is the remainder when b is divided by 12?
11
Suppose 13*u + 7*u - 21072 = -1512. What is the remainder when u is divided by 123?
117
Suppose -w + 0*w + 5*g = -30, -2*w + 2*g = -28. Suppose 0 = -4*n + n - 171. Let x = n - -106. What is the remainder when x is divided by w?
9
Suppose -426*k + 434*k = 1368. Calculate the remainder when k is divided by 26.
15
Suppose 0 = 6*f - 10*f + 64. Suppose -f = -4*n + 36. Suppose -89 = -z - 26. Calculate the remainder when z is divided by n.
11
Let q(w) = -7*w - w**2 + 172 - 302 + 152. Suppose 3*l = -5*b + 29, 6 = -l + 3*l. What is the remainder when b is divided by q(-9)?
0
Let y(a) = a**3 - 11*a**2 + 9*a + 7. Let q be y(8). Let h = 166 + q. Calculate the remainder when h is divided by (-573)/(-27) - 2/9.
11
Let u(t) = -5*t + 15 - t**3 - 3*t**2 + 18 - 22 - t**2. What is the remainder when 34 is divided by u(-4)?
3
Suppose 0 = -4*i + 27*i - 35351. What is the remainder when i is divided by 27?
25
Suppose -4812 + 15144 = 63*p. Calculate the remainder when 174 is divided by p.
10
Let h = -82 + 116. Let b = -32 + h. Suppose 5*q - 3*q + 6 = 0, -3*q = b*o - 35. Calculate the remainder when 84 is divided by o.
18
Suppose -30 = -m - 3*t, -m = -2*t + 1 - 6. Suppose -15*y + 5*p = -1285, 3*p - 295 = -40*y + 36*y. What is the remainder when y is divided by m?
7
Let o(y) = -y**2 + 25*y - 15. Calculate the remainder when o(18) is divided by (-26)/(-4) - (-3)/6.
6
Let x(f) = 108*f + 1684. Calculate the remainder when x(-15) is divided by 2.
0
Let p(l) = 14*l**2 - 3*l + 3. Let u = -144 - -107. Let x = -35 - u. Calculate the remainder when p(x) is divided by 14.
11
Let n = 47 - 31. Let b be (-176)/(-36) - (3 - (-28)/(-9)). Suppose -102 = -29*o - b*o. What is the remainder when n is divided by o?
1
Suppose -m = 3*b - 1820, -26*b - 1830 = -29*b - 3*m. Calculate the remainder when b is divided by 76.
73
Let t = 868 - 834. Suppose 1820 = -t*x + 47*x. What is the remainder when x is divided by 11?
8
Suppose -6*b + 83 = 65. What is the remainder when 199 is divided by (-9)/b + 5 - (-144)/3?
49
Let u(h) = 33*h + 1090. Calculate the remainder when u(-11) is divided by 50.
27
Let v(p) = -2*p**2 - 15*p + 17. Let j be v(-8). Suppose 315 + 126 = j*g. Calculate the remainder when 132 is divided by g.
34
Suppose 18*k = 5*j + 24*k - 1912, 2*k = 5*j - 1976. What is the remainder when j is divided by 71?
37
Let t(f) = f**3 + 50*f**2 - 467*f - 104. What is the remainder when 411 is divided by t(-58)?
61
Let i(t) = t**2 - 3*t + 8. Let j be -3*(-5 + 2 + 1). Let l = -286 + 293. What is the remainder when i(j) is divided by l?
5
Let z = 35 - -6. Calculate the remainder when (-75)/40 + 2 - 111273/(-696) is divided by z.
37
Suppose -m = -67 - 59. Suppose 5*f = 179 + m. Suppose 5*c + f = 766. What is the remainder when c is divided by 24?
21
Suppose 7*g + 18*g = 4750. Suppose -3*u + 0*u - 2*j + 114 = 0, -5*j = 5*u - g. Suppose b + 2*b = 45. Calculate the remainder when u is divided by b.
8
Let w(z) = 74 + z - 36 - 2*z - 10*z. What is the remainder when w(-2) is divided by 19?
3
Suppose -176 = 5*k + 229. Let q = k + 75. What is the remainder when 123 is divided by (-144)/q - 0 - 3?
18
Suppose -500*k + 6181 = 181. Let u = 424 - 53. Calculate the remainder when u is divided by k.
11
Let x = 40 - 38. Suppose -5*r + x + 13 = 0. What is the remainder when 139 is divided by (-56)/r*3/(-2)?
27
Suppose 11*z = 6*z + 3*q + 243, z = -6*q + 42. Let t(b) = 332*b + 1. Calculate the remainder when t(1) is divided by z.
45
Let w(n) = -2*n - n**3 - 175*n**2 + 307*n**2 - 56 - 169*n**2. What is the remainder when 49 is divided by w(-37)?
13
Suppose 29*g = 858 + 375 + 14. What is the remainder when 155 is divided by g?
26
Let f(t) = -52*t + 7 + 2 + 8 - 6 - 19. Suppose 2 = b + 4. Calculate the remainder when f(b) is divided by 36.
24
Suppose 2*y - 38*f + 35*f = 2162, 3*y + 2*f = 3269. Calculate the remainder when y is divided by 264.
31
Let x be (0 + -2 - 1) + 6. Suppose x*a - 5*s = -72 + 191, -5*a + 215 = -5*s. What is the remainder when a is divided by 19?
10
Let u = -106 + 202. Let t = -24 + u. Calculate the remainder when t is divided by 39.
33
Let y be 38/(-95) + (-2516)/10. Let g = y + 425. Let j = g + -87. What is the remainder when j is divided by 19?
10
Suppose -5*u = 4*r - 1847, r - 2*u - 502 = -37. Calculate the remainder when r is divided by 85.
38
Let d = -17547 - -18503. What is the remainder when d is divided by 120?
116
Let z = -238 - -244. Calculate the remainder when (53/(-5) - -7)/(z/(-40)) is divided by 8.
0
Let u be (-66)/(-42) + (-6)/(-14). Let h(x) = x**3 + u - x + 1 - 9 + 5*x + 8*x**2. What is the remainder when 59 is divided by h(-7)?
14
Suppose 0 = -17*p + 12*p - 5*i - 260, 4*i + 112 = -2*p. Calculate the remainder when 225 is divided by ((-114)/(-8))/(