9
Let x = 600 - 609. Calculate the remainder when 68 is divided by (-61)/x - (-12)/54.
5
Let c(y) be the first derivative of -5*y**2/2 + 56*y - 18. Calculate the remainder when 278 is divided by c(5).
30
Suppose 2 + 525 = 17*j. Let w = -2 + 21. Calculate the remainder when j is divided by (2 + (-1)/1)*w.
12
Suppose 5*l - 751 = -46. Let v = l - 92. What is the remainder when v is divided by 26?
23
Suppose -206*l + 186*l = -161980. Calculate the remainder when l is divided by 81.
80
Suppose -395 - 151 = -13*q. Suppose 24 = 2*s + z, -s - 6*z + z = 6. What is the remainder when 1*43 + 7*(-12)/q is divided by s?
13
Suppose -15*x + 68 - 8 = 0. Let o(i) = 5*i**2 - 14*i + 5. What is the remainder when 114 is divided by o(x)?
27
Suppose 3*i = -62*c + 64*c - 1553, 0 = -2*i - 10. Calculate the remainder when c is divided by 110.
109
Suppose 8*v - 241 - 95 = 0. Calculate the remainder when 55 is divided by (-3)/v*-442 + (-4)/7.
24
Let z(u) = -4*u**3 + 14*u**2 + 15*u - 84. Let t be z(7). Let c = -642 - t. Calculate the remainder when 113 is divided by c.
21
Suppose -979 - 464 = -5*u + 3*f, 3*f - 1467 = -5*u. Let z = -228 + u. Calculate the remainder when z is divided by 19.
6
Suppose 0 = -618*c + 153*c + 476160. What is the remainder when c is divided by 19?
17
Let g(s) = -s**3 - 21*s**2 + 9*s. Let z(o) = -o**3 - o - 1. Let r(d) = -g(d) + 2*z(d). Calculate the remainder when r(20) is divided by 45.
43
Suppose 3*m + 13 = -2, -410 = -5*k - 5*m. Suppose 2*g - 88 = -5*t + 4*t, g - k = -t. Calculate the remainder when t is divided by 18.
14
Suppose 0 = -873*u + 856*u + 10914. Calculate the remainder when u is divided by 82.
68
Let s(g) = g**3 + 15*g**2 - 2*g - 13. Let h be s(-15). Suppose -4*m + 123 = 2*b - 3*b, m - h = 3*b. What is the remainder when 46 is divided by m?
14
Suppose -11*u + 7*u - 32152 = -12*u. What is the remainder when u is divided by 20?
19
Suppose 0 = -h + 3*n - 6, 0*h + 48 = -3*h + 3*n. Let a(c) = -c**3 - 19*c**2 + 40*c + 24. What is the remainder when a(h) is divided by 42?
24
Suppose 4*a - 3892 = -135*a. Suppose 2*n + n - 7 = 4*b, -5*b = -10. What is the remainder when a is divided by n?
3
Calculate the remainder when 1114 is divided by (176/70 + (-46)/(-161))/(3/90).
22
Let b(g) = -58*g - 42. Let n be b(-6). Let t = n - 213. What is the remainder when t is divided by 16?
13
Let t = -530 + 548. What is the remainder when 230 is divided by t?
14
Suppose -2*m + 36 = 2*d + 2, 0 = -d + 4*m - 3. Calculate the remainder when 3316/7461 + (-761)/(-9) + 0 is divided by d.
7
Let m(n) = n**3 + 8*n**2 - n - 4. Calculate the remainder when m(-4) is divided by 138 - 133 - ((-16 - 2) + 0) - 3.
4
Suppose c + 2*l = 23, 0 = -3*c - 5*l + 65. Let w(z) = -z**2 + 27*z - 112. Calculate the remainder when w(c) is divided by 18.
14
Suppose -2*t - 5*r = -0*t - 15, t + 9 = 3*r. What is the remainder when 38 is divided by t + -1 + (0 + 5 - -16)?
18
Let r(i) = i**2 - 8*i - 6. Let z be r(-7). Suppose 0 = -j + 4*j - z. Calculate the remainder when j is divided by (((-405)/6)/(-9))/(9/12).
3
Let g(r) = -2*r**2 - 29*r + 25. What is the remainder when 1071 is divided by g(-2)?
21
Suppose 34*u - 720 = -14*u. Let r = -14 + 55. Calculate the remainder when r is divided by u.
11
Let c = -8265 + 8289. Calculate the remainder when c is divided by 20.
4
Let v(f) = -2*f**2 + 5*f + 2. Let c be v(3). What is the remainder when 107 is divided by c/(6/(-62)) - (-17)/(-51)?
7
Suppose 0 = 3*w + 5*i - 5764, -4*i = 24*w - 23*w - 1912. What is the remainder when w is divided by 42?
38
Suppose -12*j = -19*j - 28. Let y(f) = -f**3 - 2*f**2 + 7*f + 8. Calculate the remainder when 3 - (-1 + -40 - 1) is divided by y(j).
9
Suppose -2*h - 2*x + 1448 = 0, 488 = -2*h - 3*x + 1930. What is the remainder when h is divided by 142?
20
Let y = -12385 - -12576. What is the remainder when 593 is divided by y?
20
Let c(d) = -d**3 - 27*d**2 + 574*d + 35. Calculate the remainder when 763 is divided by c(-41).
28
Let q(m) = -m**3 - 8*m**2 - 3*m - 3. Let c be q(-9). Let l = c + -6. Calculate the remainder when l is divided by 48.
3
Let j = -14781 + 8049. Calculate the remainder when (j/510)/(4/(-10)) is divided by 18.
15
Suppose -172*k + 164741 + 146751 = 0. Calculate the remainder when k is divided by 62.
13
Calculate the remainder when (6/(-21) - 390/(-140))*(-23516)/(-5) is divided by 98.
96
Let j(r) = -r**2 + 13*r - 38. Let q be j(8). Let y be (4*-2)/(q + 16/(-4)). Suppose 4*x = -y*x + 160. Calculate the remainder when 93 is divided by x.
13
Let p(f) = 355*f - 80. Calculate the remainder when 1646 is divided by p(1).
271
Let w(k) = 12*k**3 + k**2 - 2*k. Let i be w(1). Suppose -5*u = -4 - i. Suppose u*z + 23 = 4*z. Calculate the remainder when 67 is divided by z.
21
Let c(j) = 5*j**2 + 2*j - 13. Let s be c(-4). Let t = 49 + s. What is the remainder when t is divided by 28?
24
Let m(r) = -r**3 - 28*r**2 + 37*r + 249. Calculate the remainder when 2955 is divided by m(-29).
14
Let o(i) = -i**3 + 6*i**2 + i - 1. Let m be o(6). Suppose 23 = 5*x - m*c + 108, -3*x = c + 63. Let q = x - -44. Calculate the remainder when 45 is divided by q.
21
Suppose -4*c = 3*t - 1028, 4*t - 438 = -3*c + 326. Let v = 272 - c. What is the remainder when 22 is divided by v?
10
Suppose -4*y + 23 = -5*a, -2*y + 3*a = -2 - 11. Suppose -y*g = -64 - 24. Let j = 57 - g. Calculate the remainder when j is divided by 5.
3
Let j(x) = -x**3 + 23*x**2 - 121*x + 21. What is the remainder when 206 is divided by j(15)?
2
Suppose -48 = -59*p + 4468 - 445. What is the remainder when 248 is divided by p?
41
Suppose -7*d + 27342 = 28*d + 58*d. Calculate the remainder when d is divided by 92.
18
Let f be ((-750)/(-20))/((-9)/(-12)). Suppose -5*o = -3*a - f, o = -3*o - a + 57. Let y = 70 - 47. Calculate the remainder when y is divided by o.
10
Suppose 301*m - 238 = 287*m. What is the remainder when 110 is divided by m?
8
Suppose 4*a + 18 = 2*r, 0 = 5*a + 9 + 6. Calculate the remainder when 329/3 - 1/r*2 is divided by 28.
25
Let p(u) = 13 + u**3 - 2*u - 2*u + 15*u - 7*u**2 - 31. Calculate the remainder when p(9) is divided by 31.
26
Suppose 9*m = 3*m + 954. Suppose 24 = -5*n + m. What is the remainder when n is divided by 19?
8
Suppose -21*v + 4794 = 13*v. Let z = v + -137. What is the remainder when 35 is divided by z?
3
Let j be 1169*(-2 - (-80)/35). Let u = j + -116. Suppose -4*d - 74 = -u. Calculate the remainder when 143 is divided by d.
35
What is the remainder when 194 is divided by -6*(25 - 18 - 41/3)?
34
Suppose -m - 1192 = -5*i, 1647 = 5*i + 4*m + 440. What is the remainder when i is divided by 77?
8
Suppose 339*d = 119*d + 3310120. What is the remainder when d is divided by 114?
112
Let a(m) = -m - 14. Let q be a(-20). Suppose q*g - 92 = 4. Calculate the remainder when 62 is divided by g.
14
Let z = -346 + 506. Suppose -z = -24*k + 19*k. What is the remainder when 116 is divided by k?
20
Suppose 7*n - 1673 - 1561 = 0. Let d = -320 + n. Calculate the remainder when d is divided by 36.
34
Let p = -67 - -120. Suppose 33*k - p = 32*k. Let w = k + -47. Calculate the remainder when 27 is divided by w.
3
Suppose 1909 - 427 = 119*d - 3040. Calculate the remainder when 20137 is divided by d.
35
Let u = 64 - 96. Let l = u + 40. Suppose 0 = l*d - 9*d + 18. Calculate the remainder when 52 is divided by d.
16
Let l = -411 + 224. Let u = l + 197. What is the remainder when u is divided by 2?
0
Suppose -g - 5*n + 4*n = -94, 3*n = -4*g + 371. Let u = -173 + 178. What is the remainder when g is divided by u?
4
Suppose -1121 = -3*h - 2*d + 737, 2*d + 1252 = 2*h. What is the remainder when h is divided by 116?
42
Suppose -10*y = 7*y - 85. Suppose -4*o - p + 200 = 0, -3*o + 172 = -y*p + 22. Calculate the remainder when o is divided by 28.
22
Calculate the remainder when 5211 is divided by (7 + 2120/(-32))/((-6)/16).
155
Let n be -2 + 1*(5 + -8). Let a be 15 + (-4 - -4) + n. Suppose -a*y - 116 = -326. Calculate the remainder when y is divided by 9.
3
Suppose -1386*g - 3*i + 59 = -1381*g, -2*g + 5*i + 5 = 0. Calculate the remainder when 77 is divided by g.
7
Suppose 29 = -3*p + 4*u, p + 4*u = -p + 14. Calculate the remainder when 121 is divided by ((-10)/1)/(p + (-117)/(-45)).
21
Let a = 424 + -164. Let b = 287 - a. Calculate the remainder when 154 is divided 