e 3*c = -37 + 40. Calculate the remainder when 3 is divided by (-24)/(-9) + c/l.
0
Let i(y) = y**3 - 7*y**2 + 2*y - 10. Let p be i(6). Calculate the remainder when p/(-6) + 20/15 is divided by 3.
1
Suppose 0 = 2*j + y - 41, 2*j - 28 - 18 = -2*y. Let u = -119 + 207. Calculate the remainder when u is divided by j.
16
Let w(y) = -2*y + 2. Let j = 180 + -177. Suppose -u + 116 = 3*f, u = -4*f + j*u + 148. What is the remainder when f is divided by w(-3)?
6
Let x(v) = 0*v**3 - 3*v**2 + 4*v**2 + 0 + 3*v - v**3 + 3. Let i be x(3). What is the remainder when (-4)/i + 124/3 is divided by 22?
20
Let c(y) be the third derivative of -y**5/60 - 5*y**4/6 + 29*y**3/6 + 11*y**2. What is the remainder when c(-15) is divided by 21?
20
Let y(l) = -24*l**3 - 8*l**2 - 5*l - 7. Calculate the remainder when y(-2) is divided by 41.
40
Let p(l) = -24*l + 5. Let c be p(2). Let y = -21 - c. Suppose 4*z + 5*u = 436, -z - z + 218 = -4*u. Calculate the remainder when z is divided by y.
21
Let y = 7 + -4. Let j(p) = 4*p**2 + 10*p - 17. Let d be j(2). Let n = 23 - d. Calculate the remainder when n is divided by y.
1
Let x(u) = 25*u**3 - 2*u**2 + 3. Let c(a) = 74*a**3 - 6*a**2 + 10. Let r(h) = -3*c(h) + 8*x(h). What is the remainder when r(-2) is divided by 36?
34
Let r(p) = p**3 - 44*p**2 + 93*p - 22. What is the remainder when r(42) is divided by 22?
4
Let b(y) = 13 - 11 - 6*y**2 + 7*y**2 + 7*y. Suppose -2 = -3*i + 4, -18 = -3*c - 3*i. What is the remainder when b(-8) is divided by c?
2
What is the remainder when 233 is divided by ((-24)/(-10))/((-224)/(-80))*7?
5
Suppose 0 = 5*b - 5, 9*b + 964 = 3*h + 7*b. What is the remainder when h is divided by 54?
52
Let b = -24 + 42. Let n(t) = -47*t + 13. Calculate the remainder when n(-2) is divided by b.
17
Suppose 5*k - 41 = -5*d - 1, 2*k - 25 = -3*d. Suppose 0 = 3*r - 0*r - d. Calculate the remainder when (-40 - -47)*(2 + 0) is divided by r.
2
Let w(n) = -6*n + 8. Let f be w(9). Let q = 90 + -49. What is the remainder when q is divided by f/(-4) - 13/26?
8
Let d(c) = c**3 + 12*c**2 + 19*c + 13. Calculate the remainder when d(-7) is divided by 7.
6
Suppose -2*d + 7*d - 920 = 0. What is the remainder when 552 is divided by d?
0
Let s = 7 - -13. Suppose -3*v + 16 = -s. What is the remainder when 34 is divided by v?
10
Let z(y) = -y**2 + 11*y - 11. Suppose 4*n + s = -s + 18, 0 = n + 2*s + 3. What is the remainder when 33 is divided by z(n)?
16
Let u be (6/(-10))/(3/(-135)). Suppose w - u = 14. Calculate the remainder when w is divided by 14.
13
Suppose -y - u = -17, -3*y - 23 = -4*y + 5*u. Suppose 3*w - 6*w + 24 = 0. What is the remainder when y is divided by (-7)/(-3)*(w - 5)?
4
Suppose 0 = 5*g - 221 - 284. Let y = -43 - -78. What is the remainder when g is divided by y?
31
Let v(x) = -x - 6. Let n be v(-10). Let k be (-2)/(-8) + (-137)/n. Let t = -17 - k. What is the remainder when t is divided by 5?
2
Let g = 0 - -3. Suppose 4*j - 54 = -g*t, 4*t + 0*j - j = 53. Let u = -195 + 234. Calculate the remainder when u is divided by t.
11
Let m(q) = -3*q + 21. Let a be m(6). Suppose 0 = -7*y + a*y + 36. Calculate the remainder when y is divided by 3.
0
What is the remainder when 426 is divided by 26/195 + 3292/60?
41
Suppose -2*y + 8 = 0, 3*a + y - 68 = -y. Suppose m + 5*l = -13 + 82, -4*l - 169 = -3*m. Calculate the remainder when m is divided by a.
19
Suppose -s + 4*u + 26 = -23, 3*s + 2*u = 147. Let p(y) = 2*y**2 - 6*y + 6. Let c be p(6). Let t = c + -25. What is the remainder when s is divided by t?
15
Let g be -10*(-3 - -13*(-12)/8). Suppose n = 6*n - g. Calculate the remainder when n is divided by 16.
13
Suppose 10961 + 1619 = 10*a. Calculate the remainder when a is divided by 60.
58
Let u = -21 + 26. Let x = 153 - 102. Suppose -4*q = -u*g - 0*q + x, -2*g - q = -23. Calculate the remainder when 30 is divided by g.
8
Suppose -14*j = -0 - 42. What is the remainder when 15 is divided by j?
0
Calculate the remainder when 143 is divided by 29 - (-4 + 0 + -2).
3
Let z(n) = -n**3 + 4*n**2 + 4*n + 7. Let g be z(5). Let t(x) = -x - g*x + 4 + 0*x - 3. Calculate the remainder when t(-10) is divided by 8.
7
Let g = 594 - 563. Suppose -2*p = 4*u - 128, -136 = -2*u - 2*u + 2*p. Suppose -g = -2*a + u. What is the remainder when a is divided by 5?
2
Let s be ((-9)/6)/((-3)/12). Suppose 4*l = -2*q + 5*q - s, 2*q + 3 = 5*l. What is the remainder when (4/6)/(5/75) is divided by q?
4
Suppose -3*b - b + 3*a = -9, -2*b + 7 = a. Let y = 1 - b. Calculate the remainder when (1/y)/((-1)/46) is divided by 13.
10
Suppose 90*g - 30 = 84*g. Let p be -1*-2*43/2. Let s = p + -21. Calculate the remainder when s is divided by g.
2
Let f(o) = -o**3 + 4*o**2 + o + 1. Suppose 6*z - 2*z + 3*c = 98, -c = -2. Calculate the remainder when z is divided by f(3).
10
Suppose 0 = 2*k + 3*a + a - 58, -4*k = 5*a - 107. Suppose 0 = -p - 2*f + 24, 3*p - 2*p + 3*f - k = 0. What is the remainder when p is divided by 7?
5
Suppose 19*g - 23 = 18*g. Suppose -2 = j - g. Calculate the remainder when 62 is divided by j.
20
Let y = -220 - -224. Calculate the remainder when 37 is divided by y.
1
Let x(u) = -7*u**2 - 10*u + 8. Suppose -19 = 5*q + 3*f - 75, 0 = f - 2. Let l be x(q). Calculate the remainder when 2/14 + l/(-42) is divided by 11.
8
Suppose -2*u + 7*i + 2 = 3*i, -3*i = -2*u + 4. Suppose -2*k + 4*k + 21 = 5*z, 25 = u*z. What is the remainder when 8 is divided by k?
0
Suppose 2*c = 4*l - 62, 7*c - 72 = -4*l + 11*c. Calculate the remainder when 960 is divided by l.
11
Suppose 5*q + 3*a = -0*a + 205, 3*q - 4*a - 94 = 0. Suppose -x + q = 31. Calculate the remainder when 12 is divided by x.
5
Suppose 11*n + 490 = 18*n. Suppose -3*m = -n - 29. What is the remainder when m is divided by 9?
6
Let d = 225 - 132. Calculate the remainder when d is divided by 20.
13
Let s be (-3 - 71)*1/(-2). Let b = 41 - s. Let p(g) = -g - 3. What is the remainder when b is divided by p(-6)?
1
Let q = -11 + 11. Suppose q*r - 5*r - 10 = 0. Calculate the remainder when 29 is divided by (-1)/(r + 45/24).
5
Let f = 324 - 261. What is the remainder when 119 is divided by f?
56
Suppose -3*b - 1 = p, 4*p = 4*b - b + 56. Suppose 456 = 22*h + 2*h. Calculate the remainder when h is divided by p.
8
Suppose g + 168 = -4*f - 3*g, 0 = 4*g - 12. Let a = f + 94. Calculate the remainder when a is divided by 10.
9
Let v(q) = -q**3 + 10*q**2 + 2*q. Calculate the remainder when v(9) is divided by 35.
29
Let i = 39 + -52. What is the remainder when i + 14 - (-83 - -1) is divided by 17?
15
Let p be (-10)/4*(-64)/4. Suppose -5*k = -5*g - 0 + p, 5*k - g = -20. What is the remainder when 6 is divided by (18/(-15))/(k/10)?
2
Suppose -3*x + 27 = 3. Suppose -3*b - 82 = -5*u + 88, -b = -3*u + 102. Let t = -4 + u. Calculate the remainder when t is divided by x.
6
Let g = 66 + 242. What is the remainder when g is divided by 39?
35
Suppose -5*j + a - 4*a = 34, 5*a - 10 = 5*j. Let f(i) = -i**3 - 5*i**2 + 2. Let n be f(j). What is the remainder when 61 is divided by n/7 + (-330)/(-21)?
13
Let g = -8 + 30. Suppose -8*m + 6 = -338. What is the remainder when m is divided by g?
21
Suppose -2*i = -22 + 6. Let x(d) = 10*d**2 - 2*d - 2. What is the remainder when x(-2) is divided by (-1)/4 + 122/i?
12
Let q(n) = 16*n**2 + 3*n + 3. What is the remainder when 93 is divided by q(-1)?
13
Let h(s) = -s**3 - 2*s**2 + 6. What is the remainder when 187 is divided by h(-4)?
35
Suppose -141 - 165 = -18*c. What is the remainder when 64 is divided by c?
13
Suppose -5*n - 205 = -10*n. Let t = 70 + -61. Calculate the remainder when n is divided by t.
5
Suppose -5*i + 106 = 4*u, 2*u - 85 = -u - i. Let b = -79 + 95. Calculate the remainder when u is divided by b.
13
Let u(f) = f - 1. Let o(d) = d. Let p(v) = 4*o(v) - 3*u(v). Suppose 0 = -13*q - 3*q + 160. What is the remainder when p(q) is divided by 7?
6
Suppose -8*p + 7*p = 0, -5*p = -3*a + 66. What is the remainder when a is divided by 18?
4
Let d be 2 - (3 + -5 + -12). Let i = 9 + d. Let q = i - -1. Calculate the remainder when 50 is divided by q.
24
Suppose -5*h + y + 82 - 45 = 0, 0 = 3*h + 3*y - 15. What is the remainder when 126 is divided by h?
0
Let s(l) = -7*l - 2. Let a = -1 + 20. Let h = a - 9. Calculate the remainder when s(-3) is divided by h.
9
Suppose -9 = 6*y - 87. Suppose -20 = -4*d, -a + 2 