, -4*x + 5*b = -49. Calculate the remainder when (18/t)/((-6)/(-440)) is divided by x.
14
Suppose -3*p = -2*y + 24, -10 = -4*y - 4*p + 38. Suppose -y*x - 21*x = -4653. Calculate the remainder when x is divided by 24.
21
Suppose 5*c = -42*c + 15828 + 7531. Calculate the remainder when c is divided by 76.
41
Suppose 66*r + 3*z = 70*r - 579, 5*r + z = 738. Suppose -t + 2*t - 256 = -5*y, -5*t - 20 = 0. Calculate the remainder when r is divided by y.
43
Let k(o) = -9*o - 50. Let j(i) = -4*i - 25. Let d(n) = -13*j(n) + 6*k(n). Suppose 95 = -6*t + 383. What is the remainder when t is divided by d(0)?
23
Suppose 2*x = 5*g - 103403, -35*g = -30*g - 5*x - 103430. Calculate the remainder when g is divided by 94.
91
Suppose 39 - 75 = -4*l. What is the remainder when ((-2)/l)/(70/(-27090)) is divided by 18?
14
Let d be 880/(-165) - (-1)/(1*3). Let c = -26 - -33. Calculate the remainder when c is divided by 16/28 - d/(70/6).
0
Let u(q) = 37*q - 62. Let w be u(-13). Let a = w - -547. What is the remainder when a is divided by 2?
0
Let f = -100 + 160. Let y = f + -66. Let d(q) = q**3 + 6*q**2 - 3*q - 3. Calculate the remainder when 22 is divided by d(y).
7
Suppose 97*b - 48*b - 156804 = -97*b. What is the remainder when b is divided by 49?
45
Let c = 363 + -330. Calculate the remainder when 296 is divided by c.
32
What is the remainder when 697 is divided by 8*(1*1/(-12)*-159 - 7)?
47
Let q be (-20)/(-50) - (-17)/(-5). What is the remainder when 28 is divided by 2 + 18 + (-8 - q)?
13
Let l be (-2)/21*-1014 + 6/14. Let w be (4 + (-2)/(-3))/((-3)/36). Let z = l + w. What is the remainder when z is divided by 15?
11
Let h be -1 - 3 - (-260 + 3 - -5). What is the remainder when h/(-310)*(2 - (239 + -2)) is divided by 95?
93
Let p(v) = 13*v + 854. Calculate the remainder when p(-46) is divided by 29.
24
Suppose 4*w - 2*v + 13 = 5, 0 = 4*w - 5*v + 20. Suppose 0 = 3*f + 24 - 27, -2*h + f + 41 = w. Calculate the remainder when h is divided by 9.
3
Suppose k - 812 = -5*w, w + 48 = k + 208. Suppose -w = -5*f + 88. Calculate the remainder when f is divided by 19.
12
Suppose 135*j + 223 = 362 + 536. Calculate the remainder when 18 is divided by j.
3
Suppose 5*b - 4*b - 4114 = -5*i, -4*b + 16 = 0. Let r = i - 595. Calculate the remainder when r is divided by 76.
75
Let h = -72 - -58. Let k = 47 + -3. Calculate the remainder when k is divided by 36/(-84) + (-174)/h.
8
Let r(a) = a**3 + 9*a - 174*a**2 - 20*a + 178*a**2 - 9*a - 67. Calculate the remainder when r(-4) is divided by 4.
1
Let k be 105/140*(2 + 2). Let u be ((-2)/3)/(2/(-12)). Calculate the remainder when ((-2)/(-4))/(k*u/1176) is divided by 18.
13
Let f(c) = -73*c**2 + 36*c**2 - 42 + 36*c**2 + 19*c. What is the remainder when 107 is divided by f(14)?
23
Suppose -28*t + 4*w + 34 = -26*t, -t - 5*w = 4. What is the remainder when 3321 is divided by t?
10
Suppose 975 = 3*a + 5*o, 3*a + 783 - 1764 = -4*o. What is the remainder when 21439 is divided by a?
334
Suppose 0 + 96 = 2*k. Let i(f) = -f**3 + 10*f**2 - 18*f + 52. Let o be i(8). Let c = k - o. Calculate the remainder when 26 is divided by c.
2
Calculate the remainder when (35/(-3))/(130/(-23010)) is divided by 11.
8
Suppose -33*c + 2126 = 278. Let b(m) = m**3 + 8*m**2 + 6*m - 14. Calculate the remainder when c is divided by b(-6).
12
Let x be -5 - (5 - 65/5). Suppose -3 = x*h + 2*o, -3 = h - 4*o - 16. What is the remainder when 54 is divided by h?
0
Suppose 0 = 3*b + 31 + 92. Let i be ((-20)/50)/(3/45). Let o = i - b. Calculate the remainder when o is divided by 12.
11
Let c(h) = -h**2 + h + 2. Let z be c(-2). Let k be 6/z + 12492/8. What is the remainder when 63 is divided by k/70 - (-2)/(-7)?
19
Let a(y) = -3*y**3 - 16*y**2 + 9*y + 32. What is the remainder when 446 is divided by a(-6)?
46
Let y = -417 + 417. Suppose -4*p = 4*b - 928, y = 4*b + 10 + 10. What is the remainder when p is divided by 63?
48
Let g be 685/75*3 + (-2)/5. Let n(r) = -r**3 + 19*r**2 - 35*r - 5. Let h be n(17). Let o = h + g. Calculate the remainder when o is divided by 5.
0
Suppose -24675 = -17*m - 4*m. Let t = 2014 - m. Calculate the remainder when t is divided by 40.
39
Suppose -67*x - 57*x + 51*x + 38763 = 0. What is the remainder when x is divided by 182?
167
Let i(x) be the first derivative of -x**3/3 + 5*x**2 + 36*x + 6. Let u(d) = 3*d - 7. What is the remainder when u(15) is divided by i(12)?
2
Let x be (3/(-12))/(44/176). Suppose 0 = 3*w + g + 14, -3*g = -0*w + 2*w. What is the remainder when 27 is divided by (x + (-14)/w)/((-4)/(-18))?
3
Let s(t) be the third derivative of 5*t**4/8 - 33*t**3/2 - 2*t**2 - 5*t. Calculate the remainder when s(8) is divided by 4.
1
Suppose 0 = -4*g - 6*p + 594, -125 = -4*g + 2*p + 461. What is the remainder when 1459 is divided by g?
136
Suppose 0 = 5*a - 7*a + 9*a - 126. Calculate the remainder when 1537 is divided by a.
7
Let g(d) = -6*d**2 - 2*d - 5. Let k be g(-3). Let c = 67 + k. Suppose 4*h - 46 = c. What is the remainder when 29 is divided by h?
14
Let m = 4398 + -4302. What is the remainder when 482 is divided by m?
2
Let z(d) be the second derivative of 3*d**5/10 - d**4/12 + 2*d**3/3 - 3*d**2/2 - 117*d. Calculate the remainder when 46 is divided by z(1).
4
Let p(q) = -5*q + 33. Calculate the remainder when 1476 is divided by p(-2).
14
Suppose 0 = -32*c + 36*c - 36. Suppose c*d - 252 = 171. Suppose -5*n + d + 28 = 0. What is the remainder when n is divided by 9?
6
Let o(d) = -2*d**2 + 28*d + 69. Let u be o(16). Suppose -u*z = -5*s - 55, -6*z - 3*s = -11*z + 61. What is the remainder when 80 is divided by z?
10
Suppose -3*o + 2*m = 47, 0 = -2*o - m - 4 - 39. Let v = -14 - o. Suppose -3*f - f = 2*k - 98, -5*k = -v. What is the remainder when 46 is divided by f?
22
Let h(b) = 3*b**2 + 17*b + 14. Let w be h(-4). Calculate the remainder when 27 is divided by 13 - (4/w)/(6/9).
13
Let l(o) = 95*o + 4786. Calculate the remainder when 878 is divided by l(-48).
200
Let x = 5 - 3. Suppose -d + 24 = d - 5*k, -5*d = 5*k + 10. Suppose 112 = d*t + 106. What is the remainder when t is divided by x?
1
Let i(g) be the second derivative of -g**5/20 - 11*g**4/12 + 7*g**3 + 5*g**2/2 + g + 56. What is the remainder when 53 is divided by i(-14)?
3
Let v = -16 - -12. Calculate the remainder when 46/4*(2 + 2) is divided by v - -15 - 4 - 1.
4
Let r = -10 - -32. Let b(c) = 0*c - 2*c + r*c**2 + 5 - 10*c**2 + c**3 + 5. What is the remainder when 99 is divided by b(-12)?
31
Let r = 11866 + -11760. What is the remainder when 552 is divided by r?
22
Suppose -239*w + 241*w - 334 = 0. Calculate the remainder when w is divided by 34.
31
Let t(h) = h + 64. Let n be (-78)/4*6/9. What is the remainder when t(n) is divided by 30?
21
Let d(m) = 7*m**2 + 1 - m**2 + 13*m - 4*m. Suppose -5*w + 313*w + 121 = -495. Calculate the remainder when 12 is divided by d(w).
5
What is the remainder when (-841)/2*(-324 - -322) is divided by 181?
117
Suppose -2*k + 120 = 4*k. Let m(z) = -5*z**2 + 66*z - 17. What is the remainder when m(12) is divided by k?
15
Let p = -926 + 1030. Let a = 140 + -126. What is the remainder when p is divided by a?
6
Suppose 5*c - 3 = -2*n + 2, 0 = 2*n - 2*c - 12. Suppose 7*i = h + 2*i - 87, -4*h + 298 = n*i. What is the remainder when h is divided by 21?
14
Suppose t - l = 7, t - 5*l + 34 = 29. Calculate the remainder when 369 is divided by t.
9
Let p(j) = 8*j - 176. Let y be p(26). Let b = y + -25. Calculate the remainder when 38 is divided by b.
3
Let f(y) = -3*y**2 + 138*y - 419. Let n = 92 + -54. Calculate the remainder when f(42) is divided by n.
9
Let h(n) = n**2 - 2*n + 4. Suppose -35 = -5*p + 5*y, 5*p + 3*y - 21 = 14. Let f = 1647 + -1633. Calculate the remainder when h(p) is divided by f.
11
Let u = -243 - -248. Suppose -u*q = -5*p - 925, 4*q + 0*p - 734 = 2*p. Calculate the remainder when q is divided by 61.
60
Let x = -537 - -211. Let z = x + 335. Suppose -87 = -4*p + 17. What is the remainder when p is divided by z?
8
Let i(d) = -52*d**2 - 14*d + 102. Let f be i(5). Let t = -1250 - f. Let s = 9 + 1. Calculate the remainder when t is divided by s.
8
Let d = -12 - 25. Suppose 0 = -11*a + 13*a - 38. What is the remainder when d/((3/9)/(-1)) is divided by a?
16
Suppose 2*h - 58*b + 53*b = 375, 790 = 4*h - 2*b. What is the remainder when h is divided by