ose 77 = 6*x + 53. Suppose 8*p - u = -x. What is the remainder when p is divided by 12?
4
Suppose 0 = -4*i + k + 356, -5*i = -4*k - 145 - 300. Suppose 2*d - 31 = 70*f - 75*f, -4*f = 5*d - 52. What is the remainder when i is divided by d?
1
Suppose 19*d - 729 - 1984 = -1136. Calculate the remainder when 328 is divided by d.
79
Let m(x) = -x + 28. Let j be m(25). Suppose -5*p - j*d + 7 = -51, -5*p = 5*d - 60. Calculate the remainder when p is divided by 8.
3
Suppose -3*l + 908 = l. Suppose -6*f + 19 = -l. Suppose -8 = -8*s + 40. What is the remainder when f is divided by s?
5
Suppose -778 = 66*w - 1042. What is the remainder when 871 is divided by w?
3
Suppose 13*t = -148 + 707. Let c = -34 + t. Calculate the remainder when 142 is divided by c.
7
Suppose 0 = a - 4*a + 1452. Suppose 0 = -2*d + 4*w - 8, -2*d + 2*w - 1 + 3 = 0. What is the remainder when (-2)/7 - a/(-28) is divided by d?
5
Let b(s) = 9*s - 28. Let f be b(2). Let j(y) = -14*y - 61. Calculate the remainder when j(f) is divided by 16.
15
Let l = -40 + 47. Suppose -l*u = -10*u + 462. Suppose u = 13*y - 11*y. Calculate the remainder when y is divided by 20.
17
Let n(h) = -21*h + 3*h**2 - 10 + 1 + 5*h**2 - 5*h**2. Let q(u) = -u**3 - 9*u**2 - 13*u + 17. Let w be q(-7). Calculate the remainder when n(w) is divided by 21.
18
Let i be 124 - (-1 + (-2 - 2)). Let p = -45 + i. Calculate the remainder when p is divided by 29.
26
Suppose -5*q - 1245 = -x + 6*x, -q - 2*x - 246 = 0. Let r = q + 284. Let t = 17 + -5. Calculate the remainder when r is divided by t.
8
Let x = -63 - -50. Let t(a) = a**3 + 12*a**2 - 15*a - 25. Let w be t(x). Calculate the remainder when (w - -6) + -9*(-6)/18 is divided by 4.
2
Suppose 4*k = 171 + 1113. Let n = k - 158. Calculate the remainder when n is divided by 47.
22
Let m = 10040 + -10026. What is the remainder when 2864 is divided by m?
8
Let v = 461 - 407. Let o(j) = -j**3 + 56*j**2 - 111*j + 188. What is the remainder when 64 is divided by o(v)?
12
Suppose 0 = 3*n - 3*m - 21, 3*m - 19 = -2*n + 20. Let g be (-12)/2*((-5)/10 + 0). Suppose 13*t = -g*t + 1136. Calculate the remainder when t is divided by n.
11
Suppose 231 = 55*p + 56 - 705. Suppose -4*d + 3*t = -202 - 113, d + 4*t = 74. Calculate the remainder when d is divided by p.
14
Let o = 3 + -2. Suppose -113*j + 92 = -112*j. Let n = 95 - j. Calculate the remainder when n is divided by o.
0
Let z = -2 + 14. Suppose l = 5*b - 23, -5*l + 2*b = -3*b + 15. What is the remainder when l/9 - ((-1792)/36 - 7) is divided by z?
9
Let v = -4145 - -5001. What is the remainder when v is divided by 60?
16
Suppose 4*v = -4*c + 484, 5*c - 597 = -102*v + 98*v. Calculate the remainder when 406 is divided by c.
67
Let y(f) = -9*f - 22. Suppose 3*k - 323 = -338. What is the remainder when 53 is divided by y(k)?
7
Let t(b) be the second derivative of -b**3/3 - 5*b**2/2 - 3*b. What is the remainder when t(-5) is divided by ((-85)/40 - -2)*(-6 - (4 + -2))?
0
Let v(u) = -17*u - 13. Let s be 3/(18/5104) + 20/(-30). Suppose 14*i - 144 = s. Calculate the remainder when i is divided by v(-3).
33
Let c(o) be the second derivative of 19*o + 2/3*o**4 - 4/3*o**3 + 2*o**2 + 0 - 1/20*o**5. Calculate the remainder when 110 is divided by c(6).
26
Suppose -209*u + 46*u = -51182. What is the remainder when u is divided by 147?
20
Let u = 340 + -236. Calculate the remainder when 382 is divided by 7/(-14)*14 + u.
91
Suppose -142*a + 28*a = 76*a - 166440. Calculate the remainder when a is divided by 226.
198
Suppose -40 = -5*o, -540*z = -541*z + 3*o + 4938. Calculate the remainder when z is divided by 2480.
2
Suppose -163*y + 65032 = 32496 - 52387. Calculate the remainder when 1077 is divided by y.
35
Let n(m) = m**3 - 18*m**2 + 55*m - 319. Calculate the remainder when n(22) is divided by 236.
231
Let q = -205 + 402. Let r = -147 + q. Suppose -3*x - 6 = -57. Calculate the remainder when r is divided by x.
16
Suppose -3*c = -12*b - 36, -4*c = 39*b - 36*b - 29. What is the remainder when 590 is divided by c?
6
Let m(z) = -z - 89. Let d be m(0). Let o = -67 - d. What is the remainder when o is divided by 8?
6
Let s be -4 - ((-8)/10)/((-7)/(-35)). Calculate the remainder when 55 is divided by (-9 - -5 - s) + 18.
13
Let p(n) = 1132*n - 9027. Calculate the remainder when 254 is divided by p(8).
22
Let i(q) = -2*q**2 + 4*q + 3. Let r(f) = 5*f**2 - 7*f - 5. Let a(j) = 5*i(j) + 3*r(j). What is the remainder when a(2) is divided by (-3)/((-9)/(-21))*-1?
4
Let l = 2 + -2. Suppose -2*v = -5*i + 192, l*i = 5*i - 3*v - 188. What is the remainder when 30/(-165)*-11 + 156 + (-5 - -4) is divided by i?
37
Let s(h) = h + 18. Suppose -4*q + 12 = 0, 4*q - 433 + 43 = -3*a. Suppose -3*m - a = -10*m. What is the remainder when m is divided by s(-13)?
3
Suppose 158 = 2*w + 4*v, 3*w - 2*v - 219 = 34. Calculate the remainder when 106 is divided by w.
23
Let g be 4/(-14) - (-702)/(-189). Let f(n) = -2 + 6 - 6*n + 13*n - n**2 + 3*n**2. Calculate the remainder when 31 is divided by f(g).
7
Let c be 36 - 37 - (-1 + 0 - 2). Calculate the remainder when 276 is divided by ((-21)/c)/(3/(-20)).
66
Let f be ((-5)/(-15))/((-2)/(-18)). Suppose f*a - 8 = 2*a. Suppose -430*k - 78*k + 14312 = 5676. Calculate the remainder when k is divided by a.
1
Let m(v) = v**3 + 23*v**2 - 53*v + 15. Let u be m(-25). Suppose 14 = -3*s - 16. Let x = u - s. Calculate the remainder when x is divided by 51.
49
Suppose 5*f - 4*m = 768, 2*f + 12*m - 327 = 7*m. Suppose 0 = w - 3*z - 49, 4*w + z - f = 5*z. Calculate the remainder when w is divided by 10.
4
Suppose 0 = 5*u + 3*x - 3868, 2*x + x - 3092 = -4*u. What is the remainder when 337 is divided by 4 + (-18)/27 + u/12?
65
Suppose 3*m + 164 = 2*k, 15*m + 241 = 3*k + 13*m. Calculate the remainder when k is divided by ((-30)/9 + 2)/((-2)/21).
9
Let h(m) = 7*m**2 + 260*m + 45. What is the remainder when 1317 is divided by h(-37)?
5
Let g(i) = -i**2 - 2*i + 16. Let m be g(-7). Let x = m + 19. Suppose x = 2*o - 2 - 74. What is the remainder when 188 is divided by o?
36
Suppose x - 31 + 10 = -m, -2*x + 4*m = -54. Suppose -x + 1 = -2*y + 4*b, 2*b = -8. Suppose 6*l = 57*l - 816. What is the remainder when l is divided by y?
1
Suppose 14*r - 13*r = 4*j - 432, 0 = -5*j + 3*r + 533. Calculate the remainder when 1634 is divided by j.
108
Suppose 2*k = 2*h - 189 + 5385, -4*k = -2*h - 10394. Calculate the remainder when k is divided by 93.
88
Let z = 27 - 6. Suppose -z*l + 13*l + 32 = 0. Calculate the remainder when 486 is divided by l.
2
Let k = -50 - -55. Suppose 3*i + 101 = -k*o - 0*i, 0 = -5*i + 15. Let t = 54 + o. Calculate the remainder when t is divided by 18.
14
Let u(w) = -w**2 + 1359*w - 8087. Let a be (1 + 1)*(-5)/(-2). Suppose 1 = a*n - 34. Calculate the remainder when u(6) is divided by n.
3
Let h be (5/(-10) - 5/(-6))*-3. Calculate the remainder when 150 is divided by 5/h + (-12 + 9 - -46).
36
Let k(z) = 4*z**2 + 104*z + 613. Let o(b) = -18*b - 2. What is the remainder when o(-6) is divided by k(-18)?
32
Suppose 51*z = -43*z + 3387 + 3099. Calculate the remainder when 319 is divided by z.
43
Let h(d) = 1096*d**2 - 9 - 540*d**2 - 539*d**2. Calculate the remainder when h(4) is divided by 22.
21
Let i = 27 + -19. Suppose -2*s = -u - 31, 4*u + 130 = -3*s + i*s. Let f = u + 49. What is the remainder when f is divided by 4?
2
Suppose -120 = -7*m + 3*m. Suppose -2*i + 88 = -m. Calculate the remainder when i is divided by 12.
11
Let l = 23 - 31. Let t be (7 + -2 - 6) + 59/1. Let g = t - l. What is the remainder when g is divided by 17?
15
Calculate the remainder when 2178 is divided by ((-2)/(-6) - 0) + (-6 - (-1160)/30).
0
Suppose 4*o - 24 = -2*d, 4*d + 5*o = 44 + 19. Calculate the remainder when 39 is divided by d.
17
Let s = 3940 - 3888. Calculate the remainder when 2960 is divided by s.
48
Suppose 2*c - 155 = 3. Let k be 6/(1254/16951) + 4/(-38). Let v = k - c. Calculate the remainder when 5 is divided by v.
1
Let w(r) = 7*r. Let k be w(1). Let h(s) = 20*s - 106. Calculate the remainder when 101 is divided by h(k).
33
Suppose 0 = l + 2*x - 258, -4*l = 10*x - 8*x - 1008. Suppose 13*b + l = 796. What is the remainder when b is divided by ((-11)/(-3))/((-1)/(-3))?
9
Let f(p) = -2*p**3 + 14*p**2 + 34*p - 164. Calculate the remainder when f(7) is divided by 40.
34
L