(-12)) + h is divided by (-1)/((2/(-1))/50)?
22
Suppose 9*v = 12*v - 30. Calculate the remainder when 55 is divided by v.
5
Let s(u) = 503*u + 3. Let f be 128/12 + 1/3. Suppose -4*b + f = -y, -7*b = -4*y - 3*b + 16. What is the remainder when y is divided by s(0)?
0
Suppose 2*k - 2 + 28 = 0. Suppose -102 - 12 = 3*v. Let z = k - v. What is the remainder when 72 is divided by z?
22
Let c(d) = -7*d - 20. Let r(i) = i**3 + 9*i**2 + 4. Suppose -2*o + 3*o = -2*q - 18, -2*o + 36 = -4*q. Calculate the remainder when c(-5) is divided by r(q).
3
Let t = 538 + 605. What is the remainder when t is divided by 82?
77
Let q(v) = 4*v**2 - 9*v - 2. Let o(k) = 13*k**2 - 27*k - 5. Let h(c) = 4*o(c) - 11*q(c). What is the remainder when h(3) is divided by 24?
23
Let f = -16 + 68. Suppose -2*n + 74 = -0*o + 4*o, 0 = -3*o + 3*n + 51. Calculate the remainder when f is divided by o.
16
Let b be ((-392)/(-70))/(2/5). Calculate the remainder when 33 is divided by -2 + (b*6)/4.
14
Let x(a) be the first derivative of -a**2 - 4*a - 1. Let g(j) = -j**2 + 7*j + 21. Calculate the remainder when g(7) is divided by x(-6).
5
Let x(h) = 5*h - 3. Let n(a) = -5*a + 2. Let w(i) = -7*n(i) - 6*x(i). What is the remainder when -2*(-2)/((-16)/(-140)) is divided by w(3)?
16
Let c(u) = -10*u + 233. Calculate the remainder when c(7) is divided by 49.
16
Suppose 4*b = 22 - 2. Suppose -3*f = b*h - 571, h - 5*h - 2*f = -456. What is the remainder when h is divided by 23?
21
Let u(x) = 139*x + 20. Let k be u(1). Let a(f) = -34*f**3 - f**2 + 3*f + 3. Let n be a(-2). Let z = n - k. What is the remainder when z is divided by 27?
25
Let a = 618 + -276. What is the remainder when a is divided by 49?
48
Let f = -21 - -31. Suppose -f*x - 19 = -109. Suppose 2*o = 6*o - 8. What is the remainder when x is divided by o?
1
Suppose -23*u = -2*u - 8043. What is the remainder when u is divided by 8?
7
Suppose 5*w - 1401 + 491 = -5*j, j = -3*w + 174. What is the remainder when j is divided by 27?
24
Let y(c) = 5*c - 25. Let w be y(-12). What is the remainder when 3*(-2 - w/3) is divided by 27?
25
Let s(f) = f**2. Let j be s(-5). Let u = j + -12. Calculate the remainder when u is divided by (-138)/(-30) - 4/(-10).
3
Let z(i) = -i**2 + 39*i + 36. Let n be z(27). Suppose n = p + 7*p. Calculate the remainder when 267 is divided by p.
42
Suppose 2*w + 10 = 18. Suppose -i + 39 = w*v - 45, -5*i = 2*v - 42. What is the remainder when v is divided by 11?
10
What is the remainder when (-2 - -1)*-2 - -25 is divided by (-9 + 1 - -4) + 14?
7
Suppose 22 + 3 = -5*r. Let q be 1 - 6*-1 - -1. Let s = q + r. Calculate the remainder when 5 is divided by s.
2
Let q(v) = 4*v**3 + 39*v**2 - 13*v - 24. Let z(f) = -f**2 - 18*f + 3. What is the remainder when z(-16) is divided by q(-10)?
5
Let t(x) = -59*x - 186. What is the remainder when t(-4) is divided by 19?
12
Suppose 0 = -3*j - 3*l + 216 + 66, 3*j = -2*l + 280. Suppose j*q - 144 = 89*q. Calculate the remainder when q is divided by 17.
14
Let s(t) = 53*t - 72. What is the remainder when s(3) is divided by 47?
40
Let q(o) = o**2 + 14*o - 13. Let j be q(-14). Let d = 7 - j. What is the remainder when 78 is divided by d?
18
Suppose 2*l = -3 + 7. Suppose 0 = -3*w - 2*f + 8, w + 3*f = -l*w + 6. What is the remainder when w is divided by (-1)/((-4)/32*2)?
0
Let r be (42/8)/(6/(-24)). Let y = -64 + 110. Let c = y + r. What is the remainder when c is divided by 14?
11
Suppose 3*n - j - 259 = -n, 0 = 5*j - 25. Suppose 21 = 3*q - 3*y, -4*y = y + 20. Calculate the remainder when n is divided by 38/(6/q) - 2.
15
Let i = 14 - 4. Suppose 11 = 2*p - 9. Suppose 0 = 2*z - 0*t + 4*t, -t = 3*z - p. What is the remainder when i is divided by z?
2
Suppose 9*q - 6 = 39. Let z = -12 - -14. Calculate the remainder when q is divided by z.
1
Suppose 0 = -j + 3*j - 2*h - 32, 0 = -2*h - 10. Calculate the remainder when 108 is divided by j.
9
Let a(b) = 3*b + 16. Calculate the remainder when 76 is divided by a(3).
1
Let x be 10/3*(-12)/(-8). Suppose 4*h + 22 = -x*o, o + 7*h = 3*h - 14. Calculate the remainder when -18*1*(o + 1) is divided by 10.
8
Let g = 193 - 109. Let h be (0 + g/(-8))*-2. Let u = h + 50. What is the remainder when u is divided by 12?
11
Suppose 0*a - 97 = -3*a + 4*k, 0 = -2*a - 2*k + 88. Let z(y) = y + 11. Let u be z(0). Calculate the remainder when a is divided by u + 4/(-8)*2.
9
Suppose -4*v + 37 = g, 10*g - 2*v + 101 = 13*g. What is the remainder when g is divided by 4?
1
Suppose 3*w - 395 = -2*w - 5*b, -5*w = 3*b - 395. Calculate the remainder when w is divided by 41.
38
Suppose 2*g = -15 - 7. Let o = 9 - g. What is the remainder when ((-177)/(-6))/(4/8) is divided by o?
19
Let z(l) = l**3 + 3*l**2 - 6*l - 5. Let g be z(-4). Suppose 4 - 16 = -g*a. Calculate the remainder when a is divided by 2.
0
Suppose 2*u - 20 = -4*h, -2*u + 26 = u + 5*h. Suppose 7 = -u*m - 5*i, 2*i + 16 = m - 2*i. Calculate the remainder when 47 is divided by m.
3
Let w = 12 - 2. Suppose -5*m - c - 3 = -0*c, -3*m - 5*c - 15 = 0. Suppose 4*a - 13 - 139 = m. What is the remainder when a is divided by w?
8
Suppose -5*n = 5*n - 330. What is the remainder when 123 is divided by n?
24
Let r = 1598 + -1588. Suppose 0 = -4*a + 4*s - 24, 5*s = -a - 26 + 8. What is the remainder when (38/a - 0)*-4 is divided by r?
9
Suppose 3*z - 9 = 9. Suppose 5*y = z*k - 5*k + 6, -10 = -4*k + 3*y. Let n(c) = 3*c + 1. Calculate the remainder when 23 is divided by n(k).
10
What is the remainder when 18 is divided by (430/(-172))/(1/(-2))?
3
Let h(p) = -p**2 + 16*p + 6. Let t be h(16). What is the remainder when (-126)/(-4) - (t + 22/(-4)) is divided by 16?
15
Suppose 44*b - 6794 = -42*b. What is the remainder when 379 is divided by b?
63
Suppose -112 = -m + d, 0 = 4*d + 2 - 18. Suppose 2*n - 2*i - 164 = 0, 4*n + 4*i + 172 = 6*n. Let c = m - n. What is the remainder when 149 is divided by c?
35
Suppose 5*v + 4*q = 175 + 20, -v - 4*q + 55 = 0. What is the remainder when v is divided by 2?
1
Suppose 2*m + 0*m - 10 = 0. Suppose m*r - 48 = 3*r. What is the remainder when 93 is divided by r?
21
What is the remainder when ((-1547)/(-14))/(3/6) is divided by 37?
36
Let l be ((-118)/10)/(2/(-10)). Suppose -5*o + v = -l - 1, -31 = -o + 4*v. Calculate the remainder when 39 is divided by o.
6
Let m = -67 - -69. Suppose -4*r + 20 = 0, y - m*r - 4 = 16. Calculate the remainder when 57 is divided by y.
27
Let i = 19 - 13. What is the remainder when i/(-2) + 12 + 0 is divided by 1/((3/(-12))/(3/(-4)))?
0
Let o = -38 - -78. Let i(s) = s**2 - 14*s + 16. Let z be i(17). Suppose 0 = 4*b - 17 - z. Calculate the remainder when o is divided by b.
19
Let f(c) = 58*c**2 + 33*c + 298. What is the remainder when f(-7) is divided by 14?
11
Suppose 6*q + 11*q - 85 = 0. Let h = 399 + -239. Suppose -q*l + h = 5*o - o, o = l + 40. Calculate the remainder when o is divided by 14.
12
Let x(p) = p + 5. Let j(b) be the first derivative of b**4/4 + 10*b**3/3 - 3*b**2/2 + 3*b + 4. Calculate the remainder when j(-10) is divided by x(4).
6
Let z = 869 + -783. Calculate the remainder when 600 is divided by z.
84
What is the remainder when 34 is divided by 44/16 - (18/24)/(-3)?
1
Suppose 2*n = -2*b + 97 + 23, -n = 5*b - 40. Calculate the remainder when 287 is divided by n.
27
Suppose 0 = 5*z + 175 - 55. Let a = z - -26. What is the remainder when 12 is divided by a?
0
Calculate the remainder when (23/(253/1584))/(4/18) is divided by 93.
90
Let p(k) = -14 + 2*k**2 - 2*k + 6*k - 3*k**2 + 6*k. Calculate the remainder when 20 is divided by p(7).
6
Let x(c) = 3*c + 23. Let r be x(-6). Suppose 2*i = r*f + 59, -5*f + 30 = i - 7. What is the remainder when i is divided by 9?
5
Suppose -p = 3*t - 9, -2*t + 9 = 3*p - 2*p. Let x(v) = v + 8. What is the remainder when p is divided by x(-5)?
0
Suppose -30*n + 1589 = -871. What is the remainder when n is divided by 21?
19
Let p be (1/(-2))/(2/(-16)). Suppose p*z - 336 = -32. Calculate the remainder when z is divided by 16.
12
Let g = -277 + 296. What is the remainder when 130 is divided by g?
16
Let w be 570/(-4)*44/(-55). Let j = -75 + w. Calculate the remainder when j is divided by 21.
18
Let t(h) = -40*h + 17. Suppose 0*f = -5*f + 75. What is the remainder when t(-1) is divided by f?
12
Let u(p) = p**3 + 8*p**2 + 4*p + 2. Suppose 5*t =