4
Suppose -8*o = f - 10*o - 103, 0 = -2*f - 2*o + 188. Calculate the remainder when 387 is divided by f.
96
Suppose 2*h = -3*p - p + 688, 4*h + 334 = 2*p. Let u = -120 + p. What is the remainder when 150 is divided by u?
48
Suppose 0 = k + 142 - 17. What is the remainder when 53 is divided by k/(-10) + (-3)/(-2)?
11
Let o = -2036 + 2084. Let m(y) = 35*y + 3. Calculate the remainder when m(4) is divided by o.
47
Let w be (2/11)/((-6)/(-66)). Let o(r) = -19*r + 3. Let c(h) = 37*h - 6. Let d(x) = -6*c(x) - 13*o(x). Calculate the remainder when d(w) is divided by 16.
15
Suppose 23*m = 14*m + 630. What is the remainder when m is divided by 24?
22
Let v = 879 - 799. What is the remainder when v is divided by 51?
29
Suppose 0 = -b + 7*b + 708. Let k = 207 + b. What is the remainder when k is divided by 146/8 - 2/8?
17
Let s(i) = -3*i + 56. Let u be s(18). Suppose 0 = 4*x + u*x - 36. What is the remainder when 8 is divided by x?
2
Suppose -6*k + 2*k = 5*h - 123, 5*k = -2*h + 39. Calculate the remainder when 186 is divided by h.
24
Suppose -44 = -4*s + 3*i + 23, s - 22 = -i. Let u = s + 5. What is the remainder when 143 is divided by u?
23
Suppose -3*y + 2*g + 60 = 0, -65 + 2 = -4*y - 3*g. Calculate the remainder when 47 is divided by y.
11
Let k(w) = -w**2 - 19*w + 154. What is the remainder when k(6) is divided by (-66)/55*(-10)/4?
1
Suppose -j + 305 = 2*l, -4*l + 306 = -2*l + 2*j. What is the remainder when 433 is divided by l?
129
Let i = 257 - 151. What is the remainder when i is divided by 57?
49
Let d(w) = 14*w - 3. Let n be (6/(-4)*2)/((-9)/15). What is the remainder when d(2) is divided by (-5 - -2)/(n/(-15))?
7
Let t = 97 - 91. Let p = -239 + 354. Suppose -2*s + 3 = a - 20, s = -5*a + p. Calculate the remainder when a is divided by t.
5
Let n be 45/(-6)*16/(-20). Suppose 0*g + n*g = 36. What is the remainder when 10 is divided by g?
4
Suppose 19 - 7 = -2*t. Let k(s) = -4*s - 6. Let j be k(t). Suppose 4*n - 2*q = 20, -4*q = -4*n + 46 - j. Calculate the remainder when 9 is divided by n.
0
Let f(q) = 95*q + 13. What is the remainder when f(3) is divided by 23?
22
Let o be 4/(-14) + (-18)/(-14). Let v(b) = -112 + 12*b + 112. Calculate the remainder when v(o) is divided by 3.
0
Suppose -5*i + 4*n + 14 = 1, -n = 2*i - 13. Suppose 4 - 49 = -i*p. Suppose 124 = -y + 6*y + 2*g, -3*g + 17 = y. What is the remainder when y is divided by p?
8
Let y = 4 - 2. Suppose -2*f + p + y*p = -34, -3*p = 2*f - 10. What is the remainder when 53 is divided by f?
9
Suppose 100 = -0*s - 4*s - 4*d, 0 = -2*d - 10. Let j = 34 + s. Suppose 18*b = 13*b + 335. What is the remainder when b is divided by j?
11
Suppose 1476 = 109*g - 100*g. Calculate the remainder when g is divided by 11.
10
Suppose 4 = 2*i - 48. Let u(z) = z. Let q(f) = 5*f - 69. Let m(r) = -q(r) + 6*u(r). What is the remainder when m(-20) is divided by i?
23
Suppose 3*c - 5*n = 53, -5*c + 64 + 31 = -5*n. Suppose d - 4*d + 120 = 0. What is the remainder when d is divided by c?
19
Let a = -282 + 423. Calculate the remainder when a is divided by 12.
9
Let k = 89 - 87. Suppose -3*l = -4*t - 116, -k*l + 5*t = 14 - 82. What is the remainder when l is divided by 7?
2
Let q = 38 + 35. Calculate the remainder when q is divided by (266/(49/(-7)))/(-1 - 1).
16
Let d(p) = -p**2 - 7*p - 7*p - 69 + 70. What is the remainder when 38 is divided by d(-13)?
10
Suppose -36 + 38 = 2*v, 2*v + 34 = 3*u. Calculate the remainder when 404 is divided by u.
8
Suppose 0 = 2*m - 7*m - 2*g + 18, -g = -2*m. Suppose -5 = m*d + 11. Let u = 2 - d. What is the remainder when 39 is divided by u?
9
Let b(h) be the second derivative of h**4/12 - 11*h**3/6 - 55*h**2/2 - 13*h. Calculate the remainder when b(-6) is divided by 12.
11
Calculate the remainder when 28 is divided by (-4540)/(-240) + (-37)/(-12) + -3.
9
Let m = -29 - -35. Let q be (-7 + 0)*(-6)/m. Let n = 5 + q. Calculate the remainder when 23 is divided by n.
11
Suppose 55*d + 416 = 87*d. Suppose -4 + 0 = -x + 5*l, 2*l = 2*x - 8. Calculate the remainder when d is divided by x/6*18/4.
1
Let q = 24 - 17. Suppose q*l - 95 = 262. Let z = -20 + l. What is the remainder when z is divided by 8?
7
Let h(u) = u - 1. Let b be h(0). Let c = b - -16. Calculate the remainder when c is divided by 10.
5
Suppose -1 = u - 2*u, 4*r - 35 = -3*u. Let t(j) = j**3 - 9*j**2 + 6*j + 10. Let q be t(r). Let b = q + 18. What is the remainder when 45 is divided by b?
9
Let r(h) = -h**3 + 6*h**2 - 3*h - 3. Let v be r(4). Let q = 39 - v. Calculate the remainder when 62 is divided by q.
18
Let q be 1/4 + 26/(-8). Let a be (13/2 - q)*10. Suppose -i - 2*m = -4*m - 22, -5*m = -5*i + a. Calculate the remainder when 31 is divided by i.
15
Let i(n) = n - 17. Let j be i(22). Suppose 0*g = 3*g - 5*m - 94, 0 = j*g + m - 194. Calculate the remainder when g is divided by 14.
10
Let c(h) = -h**3 - 6*h**2 - 2*h - 2. Let r be c(-5). Let f = -6 - r. Calculate the remainder when f is divided by 3.
2
Suppose -3*s + 10 + 31 = 5*d, s - 19 = d. What is the remainder when (-4)/24*2*-192 is divided by s?
13
Let r = 1533 + -1452. Suppose 0 = f - 16 - 5. What is the remainder when r is divided by f?
18
Let z = -36 + 40. Calculate the remainder when z/12 - (-446)/3 is divided by 38.
35
Let t = -314 + 349. Let u(j) = -j**3 - 6*j**2 - 8*j - 3. Calculate the remainder when t is divided by u(-5).
11
Let c(t) = -t**3 - 4*t**2 - 5*t - 4. Suppose 102 = -6*f - 102. Let g = f - -41. What is the remainder when g is divided by c(-3)?
1
Let w(q) = 18*q**2 + 4*q - 38. Calculate the remainder when w(4) is divided by 18.
14
Let w(o) = -3*o + 160. What is the remainder when 242 is divided by w(26)?
78
Let s be ((-20)/(-35))/(4/14). Suppose -s*w + 7 = -v, v + 3*v = w. Let j(o) = -o**3 - 5*o**2 + 5*o + 5. Calculate the remainder when j(-6) is divided by w.
3
Calculate the remainder when 127 is divided by ((99/(-6))/(-1))/(21/28).
17
Suppose 4*x + 8 = 0, 0*a - 5*a = -x - 7. Let r(w) = -w**2 + 19*w - 43. What is the remainder when r(13) is divided by 19 + 1*(-1)/a?
17
Let d = -56 - -107. Let h(z) = z + 1. Let m be h(-1). Let g = m + 13. What is the remainder when d is divided by g?
12
Suppose -5*c - 30 = -i, -i - 5*c = -c - 3. Suppose 3*t + 6 = t, 0 = -5*s - 3*t + 131. What is the remainder when s is divided by i?
13
Let v(t) = t + 16. Let y be v(-14). What is the remainder when 95 is divided by 29 + y - (-4)/(12/3)?
31
Suppose -4*y + 3*b = -0*y - 23, -b + 24 = 5*y. Suppose -15*n = -y*n - 530. What is the remainder when n is divided by 14?
11
Let x = -244 - -493. What is the remainder when x is divided by 36?
33
Let v(o) be the second derivative of o**3/2 + 19*o**2 - 34*o. What is the remainder when v(15) is divided by 12?
11
Suppose -75 = -23*w + 87*w - 331. Let m(l) = l**3 + l**2 + 6. Let q = 0 - 0. What is the remainder when m(q) is divided by w?
2
Calculate the remainder when 4/10 + -5 + (-1078)/(-5) is divided by 93.
25
Let v = 330 - 287. What is the remainder when 212 - (0 + 4 - 4) is divided by v?
40
Suppose -20*i = -733 - 287. Calculate the remainder when i is divided by 11.
7
Let q(v) = -v**3 + 13*v**2 + 15*v - 17. Let s(c) = c**3 - 13*c**2 - 15*c + 17. Let r(b) = -6*q(b) - 5*s(b). What is the remainder when 3 is divided by r(14)?
0
Let x(w) = 2*w - 18. Let k be x(12). Let b = k - 0. Suppose -4*y + b + 2 = 0. Calculate the remainder when 2 is divided by y.
0
Let g = -255 - -271. Calculate the remainder when 54 is divided by g.
6
Suppose -i = -2*y + i + 26, -3*y + 18 = 4*i. Suppose 5*o - 4 - 6 = 0. Suppose -30 = -u - o. What is the remainder when u is divided by y?
8
Suppose -6*y + 3*y + 24 = 0. Let u(b) = 31 - 31 + 44 + 2*b. Calculate the remainder when u(-7) is divided by y.
6
Let f = -51 + 59. What is the remainder when 12 is divided by f?
4
Suppose 6075 = -18*q + 27*q. Calculate the remainder when q is divided by 34.
29
Let l(s) = s**2 - s - 2. Let m be l(10). Let k = -144 - -202. Let b = m - k. Calculate the remainder when b is divided by 11.
8
Let z(s) = s - 12. What is the remainder when 82 is divided by z(24)?
10
Suppose -3*q + 8*q = 70. Suppose 4*t = -5*w - 16, 4*w + 5*t = 5*w - 20. Suppose w = 2*d - 34 - 72. What is the remainder when d is divided by q?
11
Suppose 0 = -5*p - 4*r + 230, -2*p + 3*r + 83 = 14. What is the remainder when 186 is