-14) + -1. What is the remainder when ((-100)/(-28) + -3)/(b/(-105)) is divided by 8/6 - 2/6?
0
Let u = -206 + 202. What is the remainder when 1/(-1)*(1 - 382) + u is divided by 63?
62
Let n(k) be the first derivative of k**4/4 + k**3 - 5*k**2/2 - 8*k - 18. Let o be n(-4). Calculate the remainder when 4/(-1) + 60*(o - -5) is divided by 15.
11
Let y(r) = -10 + 25 + 5 - 4*r + 69. Calculate the remainder when 54 is divided by y(15).
25
Let y = 224 + 135. Calculate the remainder when y is divided by 18.
17
Suppose 0 = 3*x - 265 - 23. Calculate the remainder when 367 is divided by x.
79
Let l(d) = -4*d**3 + 74*d**2 - 18*d + 39. What is the remainder when l(18) is divided by 19?
2
Let a be (-7)/35 - (-186)/30. Suppose 0 = -5*d + a*d - 48. Calculate the remainder when 151 is divided by d.
7
Suppose 146*y - 13970 = 61512. What is the remainder when y is divided by 130?
127
Let g = -2090 - -3086. Calculate the remainder when g is divided by 38.
8
Suppose 2*u - 2*u + 5784 = 4*u. What is the remainder when u is divided by 44?
38
Let u = 8 - 3. Suppose -u*q - 1 = -11. Suppose 4*w = -3*k + 35, 0*k = -3*k + q*w + 23. What is the remainder when 35 is divided by k?
8
Let c(q) = 78*q - 4. Let x(l) = 3*l**2 + 962*l + 4797. What is the remainder when c(4) is divided by x(-5)?
60
Suppose 7941 + 2971 = -2*t + 18*t. What is the remainder when 2051 is divided by t?
5
Let i = -10361 - -10405. What is the remainder when 979 is divided by i?
11
Let s = 17126 - 17068. Calculate the remainder when s is divided by 33.
25
Let g = 21430 + -20845. Calculate the remainder when g is divided by 290.
5
Suppose -497 = 2*w - m, 0*m - 3*m - 768 = 3*w. Let g(d) = -22*d - 10. Let a be g(7). Let j = a - w. What is the remainder when j is divided by 15?
12
Let p = 124 - 60. Suppose -4*i = 5*d + 9 - p, -3*d + i + 33 = 0. Calculate the remainder when d is divided by (-7 - (3 + -6))/(2/(-4)).
3
Suppose -3*j = 5*w - 27, -3*w + 25 = 4*j - 0*w. Let a(o) = o + 9 - 2*o + 3*o**2 - 9. What is the remainder when 174 is divided by a(j)?
42
Let q(s) = -s**2 + 16*s + 437. Calculate the remainder when 1005 is divided by q(-12).
96
Suppose 0 = 9*r - 302 + 14. Calculate the remainder when r is divided by -21*(2 - 40/14).
14
Let t(a) = -20*a**3 - 2*a - 16. What is the remainder when t(-5) is divided by 52?
50
Suppose 0 = 4*k + 126*n - 121*n - 2780, -6*n = -3*k + 2046. Calculate the remainder when k is divided by 333.
24
Suppose -5*k = -453 - 87. Suppose -i + 17 - k = -5*f, -5*f + 5*i + 75 = 0. Calculate the remainder when f is divided by (30/(-14))/(858/(-84) - (10 + -20)).
9
Let d = 301 + -178. Suppose 0 = -4*x - 4*u - 29 + 161, -3*x = -5*u - d. Suppose 14*s - x = 10*s. Calculate the remainder when 35 is divided by s.
8
Calculate the remainder when (9/(-6))/((-20)/(-592)*(-6)/15) is divided by 94.
17
Let v(g) be the second derivative of -3*g**4/4 - g**3/6 - g**2 - 14*g. Let n be v(2). Let c = n - -44. Calculate the remainder when c is divided by 1.
0
Suppose 51*q + 35608 - 135313 = 0. Calculate the remainder when q is divided by 4.
3
Calculate the remainder when ((-35)/(-3) - 2)/(-26 + (-5474)/(-210)) is divided by 11.
2
Suppose 8 = 7*h + 1. Suppose 0*n - 19 = -3*b - 4*n, -b = -4*n - h. Suppose 18 = 3*c - 2*i, b*c - 3 - 27 = 3*i. What is the remainder when 8 is divided by c?
2
Let q = -14 + 5. Let j = q + 34. Suppose 0 = -n + 5*x - 8*x, 2*n - 4*x - 30 = 0. Calculate the remainder when j is divided by n.
7
Suppose 4*j + 4*w - 5 = 3, -3*w + 6 = -5*j. Suppose j = -4*l + 831 + 149. Calculate the remainder when l is divided by 62.
59
Let q = 568 - 293. Let l = 4306 - 4250. What is the remainder when q is divided by l?
51
Let z(t) = 5*t**2 - 4*t - 14. Let a be z(11). Suppose 0 = -29*o + a + 1077. What is the remainder when 110 is divided by o?
54
Suppose -4*x = -771 + 275. Let w(q) = -43 + 9*q - 50 - 7 - 14 - 36. Calculate the remainder when x is divided by w(19).
19
Let m = 351966 + -351937. Let j = 32 + 10. What is the remainder when j is divided by m?
13
Suppose 4*u + 5*c = 2*c + 287, 2*u + 2*c = 144. Suppose -29*i = 263 - 1568. What is the remainder when u is divided by i?
26
Let i(u) = u**2 + 12*u + 19. Let w be i(-14). Suppose 19 + w = 3*g. Suppose 6*x + 0*x - 30 = 0. Calculate the remainder when g is divided by x.
2
Suppose 15*h = -26*h - 5*h + 28888. What is the remainder when h is divided by 16?
4
Let g(f) = 6*f - 103. Let t be g(23). Suppose 28*x + t = 29*x. Calculate the remainder when 244 is divided by x.
34
What is the remainder when 1103 is divided by ((-42)/(-8))/(9/24)?
11
Suppose 220*z - 5889 = 181*z. Calculate the remainder when z is divided by 12.
7
Suppose 66*r - 3094 - 14330 = 0. Calculate the remainder when r is divided by 8.
0
What is the remainder when (107/3)/(12/9)*4 is divided by (4 - 0)*(315/35 + 6/2)?
11
What is the remainder when (258/(-8))/(4432/(-192) + 23) is divided by 105?
72
Suppose -392*m + 361*m + 1178 = 0. What is the remainder when 99 is divided by m?
23
What is the remainder when 510 + (2 - (-3 - -1)) is divided by 4?
2
Suppose 0 = -8*x - 995 + 1179. Calculate the remainder when -15*1/((-6)/26) is divided by x.
19
Let m be ((5 - 2) + 4)*1. Let z(k) = 8*k - 5*k**3 - 5 - 13*k**3 + 19*k**3 - 8*k**2. Calculate the remainder when z(m) is divided by 2.
0
Suppose 7*x - 124 - 86 = 0. Suppose -5*j + x = -5*o, -7*o + 3*o = -2*j + 4. Calculate the remainder when 47 is divided by j.
7
Let k(x) = x**2 + 6*x - 259. Let p(m) = -m + 10. Let n be p(6). What is the remainder when k(14) is divided by 8/(-4)*-1*n?
5
Suppose -y + 1638 = 5*n, 4*n - 1314 = y - 0*y. Calculate the remainder when n is divided by (-516)/(-903)*(-2324)/(-16).
79
Let a(y) = -y**2 - 10*y + 5. Suppose h - z + 10 = -3*z, 3*h + 4*z = -38. Let q be (h/(-4))/(84/(-112)). What is the remainder when a(q) is divided by 4?
1
Let d be -2 - (-7746)/(-10) - 14/35. Let c = d - -781. What is the remainder when 125 is divided by c?
1
Suppose 3*c = -4*r + 93, 2*c - 12 = -22. Let b = 213 + -360. What is the remainder when -4*(b/12 - 1) is divided by r?
26
Let f(x) be the second derivative of -3*x**5/20 - 3*x**4/4 - x**3/2 - 3*x**2 - 32*x. What is the remainder when f(-3) is divided by 1?
0
Let r be 10/(-60) + (-925)/(-6). Let o = -25 - -53. What is the remainder when o is divided by 15/(-6)*r/(-35)?
6
Let w = 694 - 580. Suppose 5*v = 4*r + 20, 0 = 7*v - 2*v - 5*r - 15. Calculate the remainder when w is divided by (-7)/7 + 3*v.
22
Let l(i) = -157*i - 60. Calculate the remainder when l(-3) is divided by 196.
19
Let a be -1 - 276/(-8) - (-1)/2. Suppose -5315 = -a*f + 7435. What is the remainder when f is divided by 29?
27
Let y = -715 - -1101. Suppose -5*r = -44 - y. Suppose -5*d + 2*q + 146 = 0, 2*d + 2*q = -0*d + 64. Calculate the remainder when r is divided by d.
26
Suppose -5*m = 3*u - 110, 6*m - 2*m - 88 = -2*u. Suppose 0 = -k + 4*d + m, 8*d - 8 = 4*d. What is the remainder when 112 is divided by k?
22
Let k(d) = -146*d - 1640. Calculate the remainder when 700 is divided by k(-13).
184
Let m = -40 + 43. Suppose -i - 8 = -2*j, m*j = 4*j - 2*i - 7. Suppose -6*v = -29 - 37. Calculate the remainder when v is divided by j.
2
Let t = 29 - 45. Let u(w) = -w. Let l(g) = g**3 + 16*g**2 - 5*g - 10. Let n(k) = l(k) - 3*u(k). What is the remainder when n(t) is divided by 9?
4
Suppose 39041 - 9750 = 37*u - 20*u. What is the remainder when u is divided by 25?
23
Let b(f) = 31*f**2 - 5*f + 4. Suppose 4*a + 0*a - 3*i - 23 = 0, -6 = -2*i. What is the remainder when a/(-6) + (-1038)/(-9) is divided by b(1)?
24
Let i(f) = -4*f**2 - 308*f - 647. Calculate the remainder when i(-74) is divided by 235.
6
Let f = 14 + -7. Let s(n) = 17*n + 12. Let h(a) = a - 1. Let j(p) = 6*h(p) - s(p). Calculate the remainder when f is divided by j(-2).
3
Suppose 2*h - 48 = -10. Calculate the remainder when (-5 + (-20)/(-6))/(-3 + 520/174) is divided by h.
12
Suppose 69 - 449 = -5*n. Suppose 22*k - 18*k - n = 0. Let g = -216 + 306. What is the remainder when g is divided by k?
14
Let g = -21 - -7. Let x(c) be the third derivative of -c**4/4 - 23*c**3/6 - 10*c**2 - 30*c. Calculate the remainder when x(g) is divided by 7.
5
Suppose 14*s - 56371 - 30997 - 13684 = 0. What is the remainder when s is divided by 83?
80
Let q(m) = -3*m**3 + 110*m**2 - 69*m - 85. Let l(g)