 3 = t. Calculate the remainder when j is divided by 14.
8
Let f = 41 + -31. Suppose -f*d + 26 = -14. Suppose -3*j = 2*j - 55. Calculate the remainder when j is divided by d.
3
Suppose 9*y - 3*x = 12*y - 312, 5*x = -2*y + 193. What is the remainder when y is divided by 16?
13
Let m(w) = -w + 56. Calculate the remainder when (1*-2)/2 + 66 is divided by m(39).
14
Let x = -40 + 67. Let c = x - -51. Calculate the remainder when c is divided by 9.
6
Suppose -5*u - 8*j + 3*j + 295 = 0, 56 = u + 4*j. What is the remainder when 254 is divided by u?
14
Let v = 3 - -2. Suppose -h + 0 = -3. Suppose 5*g = 3*x + 85, -3*g - h*x + 85 = 2*g. Calculate the remainder when g is divided by v.
2
Suppose n = 5*u + 18, 3*u = 3*n - n - 15. Suppose -3*g = g + v - 350, g + n*v = 93. Calculate the remainder when g/6 + (-3)/(-6) is divided by 9.
6
Let q(g) = 4*g**2 - g - 79. Calculate the remainder when q(-8) is divided by 31.
30
Let h(d) = 14*d - 4. Suppose 5566 - 750 = 20*j + 676. What is the remainder when j is divided by h(4)?
51
Let w(h) = -h**3 + 2*h**2 + 4*h - 1. Let f be w(3). Suppose 5*r = f*r - 117. What is the remainder when r*(-1)/(0 + 1) is divided by 14?
11
Suppose 0 = -45*y + 51*y - 408. Let a = y + -38. Calculate the remainder when 57 is divided by a.
27
What is the remainder when ((-65)/(-3) - -7) + 2/(-3) is divided by 17?
11
Let g(s) = -5*s - 11. Let d be (2/(-3))/(30/315). Calculate the remainder when 117 is divided by g(d).
21
Suppose -3*y - 80 = -5*h + 2*y, 20 = h - 3*y. What is the remainder when 39 is divided by h?
11
Let p = 844 + -683. Calculate the remainder when p is divided by 65.
31
Let x(c) = c**3 + 2*c**2 - 5*c + 5. Let h(a) = -a**2 + 6*a - 7. Let n be h(5). Let r be (-9)/n - (-2)/(-4). What is the remainder when x(r) is divided by 21?
18
Let d(k) = k**3 + 17*k**2 - 39*k + 34. Calculate the remainder when d(-19) is divided by 49.
4
Let t be 44/36 - 1 - (-48)/27. Suppose 27 = -t*j + 87. What is the remainder when j is divided by ((-14)/(-1))/2 + 1?
6
Let k = 632 - 623. Let m = -4 + 7. What is the remainder when k is divided by m?
0
Suppose 11*t - 250 - 230 = 5*t. Let b(p) = -p + 3. What is the remainder when t is divided by b(-6)?
8
Suppose 4*u = -2*a + 86 + 56, a - 182 = -5*u. Let t = -12 + u. What is the remainder when 71 is divided by t?
21
Suppose 51 = -23*b + 22*b. Let t = 57 + b. What is the remainder when 22 is divided by t?
4
Suppose -768 = -4*m - 2*p - 316, -5*p + 131 = m. Suppose 36 = -0*v + 4*v. What is the remainder when v is divided by m/27 + 2/(-18)?
1
Suppose 0 = -16*r - 24*r + 4520. Let u(n) = 7*n - 6. What is the remainder when r is divided by u(5)?
26
Let r(n) = -n**3 + 5*n**2 + 4*n + 8. Suppose -2*g - 18 = -4*z, 2*g = -3*z + g + 21. Let l be r(z). Calculate the remainder when 2*l/(-2) + 138 is divided by 36.
34
Let y(q) = -1 - 2 + 6 + 4 + q. Let h be y(-5). Suppose -h*v + 29 + 50 = i, 0 = -3*i - 2*v + 229. What is the remainder when i is divided by 26?
23
Let n be ((-6)/(-12))/(1/10). Suppose n*w + w - 18 = 0. Calculate the remainder when 8 is divided by w.
2
Let c(b) = 3*b**2 + 3*b - 3. Calculate the remainder when c(7) is divided by (5 + -3)*14/(-28) - -57.
53
Suppose 0 = 4*x - 3*f - 189, 0 = -10*x + 5*x + 5*f + 240. What is the remainder when 124 is divided by x?
34
Calculate the remainder when (-454)/(-3)*(612/(-8))/(-17) is divided by 18.
15
Suppose -1368 = -579*h + 571*h. What is the remainder when h is divided by 35?
31
Suppose -3*l + 2*l - 2*o = 4, -7 = 4*l + 5*o. What is the remainder when 111 is divided by (3/(3/56))/l?
27
Suppose 16*d - 62 = 14*d. Suppose 23*s = d*s - 216. Suppose 2*n - 157 = -3*t + 2*t, -3*n = 4*t - 228. What is the remainder when n is divided by s?
26
Let d(v) = 3*v - 5. Let i be d(6). Let x = 22 - i. Calculate the remainder when ((-2)/(-6))/(3/216) is divided by x.
6
Suppose -54*r = -15*r - 20904. What is the remainder when r is divided by 12?
8
Let f be (-2*(-3)/(-6))/(-1). Let m be 2/((-59)/20 + 3). Calculate the remainder when m*f + (-10 - -11) is divided by 22.
19
Suppose 5*t - 2*g - 219 - 309 = 0, -4*t - 3*g + 404 = 0. Calculate the remainder when t is divided by 27.
23
Suppose 4*l + 2*u - 374 = 0, -3*u = -0*u + 15. Calculate the remainder when l is divided by 30.
6
Suppose -4*g - 5*d = g + 325, 0 = -5*g - d - 305. What is the remainder when (-16)/20*g/8 is divided by 2?
0
Let z(b) = 2 + 22*b - 11*b + 2 + 4. Suppose 3*w = 39 + 15. What is the remainder when z(4) is divided by w?
16
Suppose 5*r - 4 = z, 0*z - 2*z + 5*r = 18. Let p = z - -23. What is the remainder when (-3 - 38/(-14)) + 242/14 is divided by p?
8
Suppose -245 - 7 = -6*g. Suppose 4*h + 262 = 2*t, t - 165 + 46 = -h. What is the remainder when t is divided by g?
39
Let c(l) = l + 16. Let n = 252 + -189. What is the remainder when n is divided by c(0)?
15
Let t(h) = h**3 + 2*h**2 - 3*h. Let s be t(-3). Suppose 3*f + o + 3527 = -o, s = 4*o - 20. What is the remainder when 6/15 - f/15 is divided by 20?
19
Suppose -5*d - 15 = -3*a, 2*d + 4*a = -2*d + 20. Suppose 7 = 2*q + i - 6, d = 2*q + 3*i - 3. Calculate the remainder when 12/30 + (-326)/(-10) is divided by q.
6
Let n(s) = 8*s - 11. Let c be n(-14). Let a = -71 - c. What is the remainder when 101 is divided by a?
49
What is the remainder when -7 - (-12 + -3 + -46) is divided by 40?
14
Let n = 36 + -31. Suppose -3*y - n*r = -35, -y - y - 2*r + 18 = 0. Calculate the remainder when 8 is divided by y.
3
Let a be (4/(-10))/((-2)/80). Let h(z) = -z**2 + 18*z + 5. What is the remainder when h(a) is divided by 13?
11
Suppose 0 = p - 2*a - 2*a - 23, 0 = p + a - 23. Suppose -2*j = 3 - p. What is the remainder when 28 is divided by j?
8
Let y(v) = 7*v**3 - v**2 - 6*v + 14. Let p(l) = 8*l**3 - 7*l + 14. Let m(d) = 6*p(d) - 7*y(d). Calculate the remainder when 43 is divided by m(6).
21
Suppose -3*n + 73 = 3*d + n, 2*n + 31 = d. Let y = -1734 + 1749. What is the remainder when d is divided by y?
12
Suppose 0 = 5*g - 1465 + 430. What is the remainder when g is divided by 107?
100
Let u = 575 + -549. Calculate the remainder when u is divided by 20.
6
Let c = 380 + -376. Suppose -4*p = 2*z - 3 + 1, 3*z + 27 = 4*p. Calculate the remainder when c is divided by p.
1
Let r(g) be the first derivative of -g**2/2 - 14*g + 2. Let v be r(-15). What is the remainder when (v*-7)/(8/(-64)) is divided by 19?
18
Suppose 11*q - 14 - 8 = 0. Calculate the remainder when 29 is divided by q.
1
Suppose -5*r = -r - 44. Let l = 30 + r. Calculate the remainder when l is divided by -1 + 0/(-2) + (-6 - -29).
19
Suppose 8*c - 5*n = 4*c + 472, 5*c - 569 = n. Calculate the remainder when c is divided by 57.
56
What is the remainder when 1 + 4/(-8) - 3711/(-6) is divided by 23?
21
Let u be 2/(-6) + (-21)/(-9). Suppose -4 = u*k, k - 10 = -2*z + 12. Calculate the remainder when 4/(-16) + 543/12 - 0 is divided by z.
9
Suppose -62*a = -0*a - 31558. Calculate the remainder when a is divided by 57.
53
Suppose 0 = 3*t + 7 + 5. Let b be 0 + t/(-1) + -2. Suppose -d = -0*d + 4*j - 49, -b*d = 4*j - 86. Calculate the remainder when d is divided by 20.
17
Suppose 0 = -3*d - 74*d + 1540. Calculate the remainder when d is divided by 18.
2
Let a(m) = 3*m**2 - 8*m - 9. Let o be a(-6). Let l be 15/25 + (6/15 - -3). Suppose -o = -l*w + w. What is the remainder when w is divided by 14?
7
Suppose -3*l + 8 + 52 = 0. Let m(a) = -230*a - 21613. Calculate the remainder when l is divided by m(-94).
6
Let b be -43 + ((-6)/9)/((-4)/6). Calculate the remainder when ((-458)/(-14) - 12/b) + 1 is divided by 4.
2
Suppose 55 = 3*p + 2*p. Suppose p*z + 24 = 7*z. Let a(l) = -4*l - 5. Calculate the remainder when a(z) is divided by 10.
9
Suppose 0 = 5*o + 4*i - 69, -229 + 233 = 4*i. What is the remainder when 1 + 144 - (-1 + 4) is divided by o?
12
Suppose -11*x = -1857 - 2851. What is the remainder when x is divided by 86?
84
Let l = -112 + 165. Let j(a) = -686*a**2 - 5*a + 6. Let p be j(1). What is the remainder when l is divided by 4/(-10) + 3/(-75)*p?
26
Let i = -900 - -1009. Calculate the remainder when i is divided by 11.
10
Let a = 13 + -19. Let w = 13 + a. Let u = 69 + -51. Calculate the remainder when u is divided by w.
4
Let c = -1321 + 1375. What is the remainder when 1509 is divided by c?
51
Suppose 0 = 4*s + 5*a - 262, -5*s + 4*a + 360 = 12.