*c + 22. What is the remainder when x(-5) is divided by 19?
5
Suppose -5*k + 1160 = -2*p, -3*k - 3*p = k - 905. Suppose 9*z - 958 = k. Calculate the remainder when z is divided by 70.
62
Suppose 32 = d - 22. Let v = 132 - d. Suppose 3*y = 3*u + v, -2*y + 2*u - 3*u + 49 = 0. Calculate the remainder when y is divided by 7.
4
Let d = 153 - 153. Suppose -2*s + d*s + 5*a = -83, -121 = -3*s + 4*a. What is the remainder when 389 is divided by s?
38
Let d = 3921 - 3677. What is the remainder when d is divided by 238?
6
Suppose 5*a = -3*b + 102, 2*b + a - 260 = -178. Calculate the remainder when 754 is divided by b.
6
Let h(f) = 163*f + 1348. Calculate the remainder when 202 is divided by h(-8).
26
Let o(l) = 5*l**3 + l**2 - 7*l + 5. Let u(a) = a**3 - 7*a**2 + 6*a + 2. Let y be u(6). Let p be o(y). What is the remainder when (52/10)/(14/p) is divided by 7?
6
Suppose 0 = 14*m + 16*m - 300. Suppose -780 = -m*n - 160. Calculate the remainder when n is divided by 28.
6
What is the remainder when (2720/6)/16*18/5 is divided by 57?
45
Suppose -29*r - 7178 - 11722 = -83*r. Calculate the remainder when 1092 is divided by r.
42
Let c(o) be the third derivative of o**5/60 + 17*o**4/24 + 4*o**3 - 35*o**2. Let x be c(-15). Calculate the remainder when (-1713)/x - 1/(-2) is divided by 32.
30
Suppose -18 = 14*h - 74. Let x = 63 - h. What is the remainder when x is divided by 12?
11
Let k = -103 + 103. Calculate the remainder when 121 is divided by (-570)/(-15)*(2/4 - k).
7
Suppose 3*f + 3*s - 348 = 0, f + 2935 = 5*s + 3081. Let h = 2 - -16. Let b = h + 13. What is the remainder when f is divided by b?
28
Let s = 21863 + -12806. Calculate the remainder when s is divided by 15.
12
Let x = 12 + -14. Let y be 1 + 0 + (x + 1)*-1. Suppose 3*t - 9 = -3*a, -5*a + 12 = -0*t + y*t. What is the remainder when 6 is divided by a?
0
Let b = 772 + -655. Suppose 2*l = -5*n + 65, 2*n = 4*l - 31 - 39. What is the remainder when b is divided by l?
17
Let s = 22536 - 22426. What is the remainder when 2306 is divided by s?
106
Suppose 4 = 2*q - 0. Suppose 18 = -2*h + q. Let x(d) = -d**2 - 7*d + 15. Calculate the remainder when x(h) is divided by 4.
3
Let r be ((-5 - -2) + 2)*(3 - 12). Suppose -17*f + 281 - r = 0. Calculate the remainder when 156 is divided by f.
12
Suppose -6*d - 7070 = 8*d. Calculate the remainder when 2*(-5 - d/10)*3 is divided by 47.
38
Let d(x) = 2*x**3 - 18*x**2 + 15*x - 67. Let v(q) = q**3 - 9*q**2 + 7*q - 34. Let a(k) = -4*d(k) + 9*v(k). What is the remainder when a(11) is divided by 40?
37
Let g(n) = 6*n - 45. Let d(u) = 2*u - 1. Let x(p) = -2*d(p) - g(p). Let t(l) = 22*l**2 - 2*l + 1. Calculate the remainder when t(1) is divided by x(4).
0
Let x = -90 + 157. Let g = x - 88. Let z = 39 + g. What is the remainder when z is divided by 17?
1
Suppose 0 = 2*m + 3*q - 208 - 244, 2*m - 4*q = 424. Suppose m = -4*z - z. Let a = z + 179. What is the remainder when a is divided by 34?
33
Suppose -4*p = -563 - 313. Suppose 0 = -3*b + p + 78. What is the remainder when (-22)/b + 1426/18 is divided by 20?
19
Suppose 2*x + 25 = 99. Suppose -44*z + 14*z = 2773 + 1067. Let b = x - z. What is the remainder when b is divided by 14?
11
Let s = -445 + 403. Let v = s + 94. What is the remainder when 97 is divided by v?
45
Suppose 26728*h - 26704*h = 8976. What is the remainder when h is divided by 253?
121
Let b(k) = -k**2 - 17*k - 9. Let t(j) = 2*j**2 - 2*j - 1. Let a(o) = -b(o) + t(o). What is the remainder when 46 is divided by a(-6)?
20
Let a be (-11)/(-33)*(-3)/(-6)*0. Let q(y) = -y**3 - 4*y**2 - 2*y + 92. What is the remainder when q(a) is divided by 28?
8
Suppose y = -2*d + 88, -y + 72 = 51*d - 53*d. Calculate the remainder when 159 is divided by y.
79
Let s = 8196 + -7786. What is the remainder when s is divided by 50?
10
Suppose -2*v = -19*v + 1666. Let f = 123 - v. What is the remainder when 80 is divided by f?
5
Let q = 1553 - 1200. What is the remainder when q is divided by 32?
1
Let l = 11285 - 11159. Calculate the remainder when l is divided by (-64)/(-10)*(-5)/(-1).
30
Let g(y) = y + 4. What is the remainder when -12 - (-5 + -5) - -11 is divided by g(3)?
2
Let a(d) be the first derivative of d**4/2 + 11*d**3/3 + 2*d**2 - 4*d - 158. Suppose -3*v + 4*v - 110 = 0. What is the remainder when v is divided by a(-4)?
26
Suppose 397 - 427 = 6*h. Let m(p) = 12*p**2 + 10*p + 22. What is the remainder when m(h) is divided by 91?
90
Suppose 0 = 126*g - 23 - 1867. What is the remainder when 4108 is divided by g?
13
Suppose -79*m = -80*m + 4. Suppose m*f = -14*f + 4734. Calculate the remainder when f is divided by 38.
35
What is the remainder when 180 is divided by (140/(-49))/((-4)/1*6/588)?
40
Suppose 3*b = -3*z - 252, -5*b = -5*z - 7*b - 420. Let w = z + 86. Let a(r) = r**2 + 7*r + 3. What is the remainder when a(-7) is divided by w?
1
Let p = -3021 + 3061. Suppose -2*t = -c + 2*t + 6, 5*c - 62 = 4*t. Calculate the remainder when p is divided by c.
12
What is the remainder when 771/(-2)*(-584)/876 is divided by 230?
27
Let l(c) = 3*c - 72. Let j(r) = -r**2 + 23*r - 33. Let q be j(20). Let b = -20 - -46. Calculate the remainder when b is divided by l(q).
8
Let m be (-35)/175 - (11/5)/(-1). Suppose -119 = -3*y - 35. Calculate the remainder when (166/8)/(m/8) is divided by y.
27
Suppose 171 = 15*r - 129. Calculate the remainder when 49 is divided by r.
9
Suppose 2065056*u - 5183 = 2064985*u. Let b(t) = 2*t**3 - 3*t**2 - 7*t + 6. What is the remainder when b(6) is divided by u?
69
Let i(l) = l**2 - 21*l - 53. Let p be i(23). Let x(v) = v**2 + 14*v + 57. Calculate the remainder when x(p) is divided by (2 + 4)/2 - 0.
2
Let r = -492 + 512. Suppose -5*j + 4 = -1. Calculate the remainder when (j/(-1))/((-2)/74) is divided by r.
17
Suppose -10*r + 1212 = -7*r. What is the remainder when 83 is divided by (r/(-18) - (-92)/207)*-1?
17
Suppose -12*n + 1060 = -8*n - 4*r, -5*r = -4*n + 1064. What is the remainder when n is divided by 12?
9
Suppose -27*y + 66*y - 8170 = 29*y. Calculate the remainder when y is divided by 199.
21
Suppose -33*q + 7221 - 2898 = 0. Calculate the remainder when 379 is divided by q.
117
Let v(x) = 23*x + 11. Let f be v(-4). Let p = f - -126. Suppose 0 = -4*k + 35 + 29. What is the remainder when p is divided by k?
13
Suppose 5*u = 203 + 42. Let l(d) = -41*d**2 - 2*d - 3. Let a be l(-1). Let m = a + u. Calculate the remainder when 9 is divided by m.
2
Suppose 19*m = 21024 - 1891. What is the remainder when m is divided by 126?
125
Let j = -664 - -769. Calculate the remainder when 269 is divided by j.
59
Let i = -679 - -688. Suppose 4*s = r - 48, -2*r - 3*s = -0*s - 74. What is the remainder when r is divided by i?
4
Let l be 309/12 + 9/(-12) + 1. Suppose 36 = -3*p + a, -2*p - 4*a + 2 = l. Let o = p + 59. What is the remainder when o is divided by 17?
13
Suppose 2*o = -5*u + 97, 0 = 4*o + u - 46 - 139. Suppose -l - 3 + 0 = 0. Let p = 5 - l. Calculate the remainder when o is divided by p.
6
Let u(k) = k**3 - 14*k**2 + 6*k + 344. Calculate the remainder when u(13) is divided by 253.
0
Suppose -3*f - 159 = 2*j, -5*j - 66 = 6*f - 5*f. Let x = -31 - f. What is the remainder when 28 is divided by x?
8
Let v(d) = 36*d**2 - 33*d - 34. What is the remainder when v(5) is divided by 230?
11
What is the remainder when 4200 is divided by 1 + -9 + (25 - 8)?
6
Suppose 0*d - 2*d - 10 = 0, -w + d + 8 = 0. Suppose w*v - 40 = -16. Suppose -4*z + v = 4*q, -z + q + 6 = -2*q. What is the remainder when 38 is divided by z?
2
Let h(y) = -y**3 - 26*y**2 - 166*y + 49. What is the remainder when h(-20) is divided by 323?
0
Suppose -36*w + 6290 = -73*w. Let g = 176 + w. Calculate the remainder when 14 is divided by g.
2
Suppose 2*z + 4734 = 2*h, -5*h + 11787 = 5*z - 2*z. Calculate the remainder when h is divided by 48.
9
Suppose -29*x + 53337 = -6809. What is the remainder when x is divided by 2057?
17
Let l(h) = -h**2 + 11*h - 10. Let a be l(8). Suppose 154 + a = 4*r. Suppose 2022*i - 2021*i = 12. What is the remainder when r is divided by i?
6
Suppose 856 = 240*v - 4507 - 7357. Calculate the remainder when 2808 is divided by v.
52
Let m = 57 - 11. Suppose -3*d - 7*f = -2*f - m, 60 = 5*d + 5*f. Suppose d*j = 5*j + 54. Calculate the remainder when j is divided by 14.
13
Let f(d) = d**2 + 6*d - 