he remainder when 14*(122/20 + (-3)/5) is divided by 13.
12
Let j be (3 + -9)*(-2)/4. Suppose j*n - 9 = -0*n. Suppose 0 = 2*g - 13 - n. Calculate the remainder when 22 is divided by g.
6
Suppose 85*m - 77*m = 568. What is the remainder when 207 is divided by m?
65
Let x be (20/(-2))/(4/(-14)). Suppose 0 = b - x - 29. Calculate the remainder when b is divided by 22.
20
Let r(w) = 55*w - 84. Let c(m) = -m**3 + 2*m + 17. Calculate the remainder when r(2) is divided by c(0).
9
Let a(v) = -v - 21. Suppose b + 14 = 5*f - 1, 0 = 2*b. What is the remainder when a(-30) is divided by (-2*1 + f)*3?
0
Suppose -69*a = -64*a - 290. Calculate the remainder when 143 is divided by a.
27
Let b(n) = -n**3 + 2*n + 2. Let z be b(-1). Suppose r - 1 = z. Suppose 5*q = -5*d + r*q + 55, 3*d + q = 37. What is the remainder when d is divided by 5?
4
Suppose -276 = -4*a + 5*f, -a - f + 72 = -3*f. Calculate the remainder when a is divided by 20.
4
Let r(b) = b**3 - 18*b**2 + 14*b - 17. Let y be r(17). Let o = -47 - y. What is the remainder when 41 is divided by o?
20
Let p(k) = -k**3 + 6*k**2 - k - 7. Suppose 78*a - 72*a + 18 = 0. Calculate the remainder when p(a) is divided by 13.
12
Let y = 27 - 22. Let s(u) = -u**2 + 5*u + 9. What is the remainder when s(y) is divided by 4?
1
Let k = 53 + -31. Suppose -2*s = -k - 6. Suppose -26*b + 75 = -159. What is the remainder when s is divided by b?
5
Suppose 0 = -11*r + 9*r + 64. Calculate the remainder when r is divided by 7.
4
Suppose -3*k - 6*o + 11*o + 1025 = 0, -4*o + 8 = 0. Calculate the remainder when k is divided by 111.
12
Suppose 9*n = 4*n - 5*k + 120, k - 70 = -3*n. Calculate the remainder when (-297)/6*(-8)/6 is divided by n.
20
Let z(w) = w + 1. Let r be z(2). Suppose y + r = -5*j - 2, -4*y + 4*j = -52. What is the remainder when (1338/54 - (-2)/9) + 3 is divided by y?
8
Suppose 0*n - 160 = -4*n. Suppose 7*b - 62 - 36 = 0. What is the remainder when n is divided by b?
12
Let b(r) = -41*r**3 - r. Suppose 45*i = 52*i - 1148. Calculate the remainder when i is divided by b(-1).
38
Suppose 4*x = -1 - 3, 3*x - 169 = -d. What is the remainder when 168 is divided by d*(-2 + (-18)/(-8))?
39
Let q = 9 + 59. What is the remainder when q is divided by 25?
18
Suppose 0 = j - 5*w - 15 - 8, 2*j - 31 = 5*w. Let z be (-10)/(-5) + -5*1. Calculate the remainder when ((-29)/z)/(1/3) is divided by j.
5
Suppose 0 = -2*j + 3*q + 35 + 6, -3*j + q + 44 = 0. Let u = 28 + -20. Suppose 0 = m + m - u. What is the remainder when j is divided by m?
1
Suppose -5*r = -r. Suppose r = b - 9 + 1. Calculate the remainder when (-415)/(-15) + 4/3 is divided by b.
5
Let c(b) = b**3 + 33. Let y(d) = d - 8. Let t = 9 - 1. Let p be y(t). Calculate the remainder when c(p) is divided by 17.
16
Let y(z) = -13*z**3 - 3*z**2 + z + 4. Let j = 38 - 40. What is the remainder when y(j) is divided by 49?
45
Calculate the remainder when 152 is divided by ((-6)/14*2)/(7/(-98)).
8
Let u = 700 - 460. Let g = u + -161. Calculate the remainder when g is divided by 16.
15
Let a be (4/3)/(1/15). Suppose -6*b + 2*b = 4*f - a, -4*f + 4*b + 52 = 0. What is the remainder when (63/14)/((-6)/112*-2) is divided by f?
6
Let w(t) = -t**2 + 4*t - 11. Let d be w(3). Let a(y) = -y**2 - 9*y + 10. What is the remainder when 70 is divided by a(d)?
16
Let d(b) = -b**2 - 21*b - 82. What is the remainder when 496 is divided by d(-11)?
20
Let k(p) = -8*p. Let r be k(-3). Let d = 4 + r. Suppose -d*o + 25*o = -123. Calculate the remainder when o is divided by 21.
20
Let b = 19 + 4. Suppose -3*j + 45 + 15 = 0. Let z = j + -14. Calculate the remainder when b is divided by z.
5
Suppose -4*f - 328 = -8*f. Suppose 0 = -3*w - 22 + f. What is the remainder when w is divided by 6?
2
Let n be -8 + 12 - (0 + 0). Suppose -48 = -4*c - 2*g, 4*g = -n*c + 6*g + 64. Let u(p) = p. Calculate the remainder when c is divided by u(5).
4
Let c = -5 + 5. Suppose -7*t + 2*t + 5 = c, -t = -5*k + 19. Suppose 2*x - k = 18. Calculate the remainder when 32 is divided by x.
10
Let i be (4/6)/(4/102). Suppose 2*p = p + 122. Suppose 5*z = p - i. Calculate the remainder when z is divided by 11.
10
Suppose b = -4*h + 75, 0 = -4*h - 4*b - 0*b + 72. What is the remainder when h is divided by 2?
1
Suppose 0*h - 3*h + 321 = w, -5*w = -3*h + 303. Suppose 2*v - h - 84 = 0. Suppose -3*c = 23 - v. Calculate the remainder when c is divided by 7.
3
Let j(y) = 35*y**2 + y - 5. What is the remainder when j(-2) is divided by 52?
29
Let h(p) = 2*p**3 + 9*p**2 - p - 1. Let a be h(-5). Calculate the remainder when 244/4 - (a/(-3) - 4) is divided by 15.
13
Let d(j) = j**3 - 5*j**2 - 13*j + 15. Let o = -48 + 56. What is the remainder when d(o) is divided by 35?
33
Let b(p) = 10*p**2 - 140*p + 432. Calculate the remainder when b(3) is divided by 5.
2
Suppose 143*u - 139*u - 3*q - 164 = 0, -5*u = -q - 216. Calculate the remainder when 111 is divided by u.
23
Let f(l) = -11*l - 26. Calculate the remainder when 199 is divided by f(-7).
46
Let q be 7/(-28) + (-198)/8. Let z = q - -29. Calculate the remainder when 14 is divided by z.
2
Suppose -7*c = -9*c + 2*j + 58, -5*c + 2*j = -130. What is the remainder when c is divided by 13?
11
Let t(r) = -r**2 + 3*r + 18. Calculate the remainder when 92 is divided by t(0).
2
Let o = 107 + -102. Suppose -38 = -4*i - o*d, -d - d + 18 = 2*i. What is the remainder when i is divided by (-5)/(-2) - 1/2?
1
Suppose 65 = -3*k + 8*k. Let w = k - 20. Calculate the remainder when 17 is divided by (17 + w)*(-6)/(-10).
5
Let j = 381 + -315. What is the remainder when 246 is divided by j?
48
Let q(l) = -45*l + 130. Calculate the remainder when q(2) is divided by 92/8*2/1.
17
Suppose -442 = -11*q - 23*q. Calculate the remainder when 608 is divided by q.
10
Suppose 5 - 25 = -5*b. Suppose -3*t - p = -46, -b*t - 2*p = t - 78. Calculate the remainder when 26 is divided by t.
12
Suppose 5*l = 7*s - 3*s + 40, 23 = 2*l - 3*s. Let j(d) = -d**2 - 10*d - 8. What is the remainder when j(-7) is divided by l?
1
Let t = -19 + 24. Suppose -6*l + 45 = -t*l. Suppose 4*b - 5*b + 30 = 2*p, b - 3*p = 15. What is the remainder when l is divided by b?
21
Let u be 0/(4 + -1 - 5). Suppose x - 3*f + 4 + 3 = u, -f = -5*x + 21. What is the remainder when 23 is divided by x?
3
Suppose d = -4*d + 365. Let b = -840 + 865. Calculate the remainder when d is divided by b.
23
What is the remainder when 78 is divided by (-17)/((-4)/(-16)*-4)?
10
Let t(g) = -g**3 - 9*g**2 + 7*g + 14. What is the remainder when 69 is divided by t(-10)?
25
Let c be 38 - (6/(-4))/((-2)/4). Suppose -k = -c - 52. What is the remainder when k is divided by 22?
21
Let g(l) = l**3 + 24*l**2 + 19*l - 51. Calculate the remainder when g(-23) is divided by 9.
5
Suppose -8*l - 20 + 44 = 0. Let f(s) = 10*s**2 - s. Let b be f(-1). Suppose 0 = 3*q - 38 + b. What is the remainder when q is divided by l?
0
Let x be (-172)/(-20) - 8/(-20). Suppose 3*g - x = -0. Let r(k) = -k**2 - 7*k - 3. Calculate the remainder when r(-5) is divided by g.
1
Let l be (868/(-35))/((-3)/(-30)). Calculate the remainder when 72 is divided by (-2)/(-10) - l/10.
22
Suppose -21*b + 24*b + z - 278 = 0, 4*b - 3*z = 388. What is the remainder when b is divided by (-3)/6*-4 + 17?
18
Let i = -134 - -78. Let f = -31 - i. Suppose -2*u - 16 = 3*m - 36, -2*u - 7*m = -12. Calculate the remainder when f is divided by u.
12
Let l = -171 + 508. What is the remainder when l is divided by 119?
99
Suppose -2*c - y + 68 = -5*y, 2*c = y + 65. What is the remainder when c is divided by 1127/115 + 8/(-10)?
5
Let h(n) = -30*n + 36. Let d(f) = -5*f + 6. Let o(w) = 34*d(w) - 6*h(w). Let r be o(5). Calculate the remainder when 75 is divided by ((-9)/18)/((-1)/r).
18
Suppose -12 + 4 = -2*v. Let n = 655 - 619. Suppose 5*s = -v*u + 52, 0*u - 3*u - 3*s = -n. Calculate the remainder when 13 is divided by u.
5
Let p(f) = 58*f - 7. Suppose k + 5 = 0, k = 4*s - 0*k - 17. Calculate the remainder when p(s) is divided by 13.
11
Suppose -5*c = 25, -6*w + 4*w = c - 29. What is the remainder when 313 is divided by w?
7
Calculate the remainder when 31 is divided by (-1)/3 - (-2196)/108.
11
Suppose 2*v + 5*u + 75 = -0*v, 0 = -2*v + u - 45. Let b be 14/(-7) + 0 + -10. Let p = b - v. What is the remainder when 22 is divided by p?
9
Suppose 5*c + 5 = -5*i, 16 