 the remainder when g(-3) is divided by s(q).
5
Let h = -6 + 20. Suppose 3 = a - f + 2*f, -4*f + h = 5*a. Suppose -t - 5*g = -26, t - 16 = 5*t - 4*g. Calculate the remainder when a is divided by t.
0
Suppose -2*l - 58 = -3*l. Suppose 103 - 23 = 4*m. What is the remainder when l is divided by m?
18
Suppose 2*a + w = a + 7, 17 = 2*a + 3*w. Let s = a - 1. What is the remainder when 42/9*s/2 is divided by 4?
3
Let c(d) = 2*d - 10. Calculate the remainder when 27 is divided by c(12).
13
Let v = 3 + 15. Let t = 29 - v. What is the remainder when t is divided by 6?
5
Let s be 4/14 + 94/14. Let m(p) = 2*p - 1. Suppose q + q - 50 = 0. Calculate the remainder when q is divided by m(s).
12
Suppose 0 = 3*n - 6, -45 - 7 = -5*m - n. What is the remainder when 18 is divided by m?
8
Let o(d) be the second derivative of -d**3/2 + d**2 - 3*d. What is the remainder when 33 is divided by o(-5)?
16
Let l(q) = 5*q + 78. Calculate the remainder when l(-10) is divided by 17.
11
Suppose 157 = -i + 3*i + 5*v, -3*i + v + 278 = 0. What is the remainder when i is divided by 24?
19
Let f(k) = -k**2 + 15*k - 1. What is the remainder when f(14) is divided by 8?
5
Let t(s) = 2*s**3 - 15*s**2 - 5*s - 7. What is the remainder when t(8) is divided by 7?
3
Let q = -75 - -141. Suppose -328 = -2*k - q. Suppose -5*u - t = -4*t - 149, 5*u = -3*t + k. What is the remainder when u is divided by 10?
8
Suppose 0*g + 2*g = 74. What is the remainder when g is divided by 10?
7
Suppose 0 = 4*w - 36. Let i = w - -2. Calculate the remainder when i is divided by 6.
5
Suppose 0 = -d - w - 0*w + 13, 4*w + 32 = 2*d. Let k(v) = v**3 - 13*v**2 - 14*v + 7. Calculate the remainder when (-19 - 1)*3/(-3) is divided by k(d).
6
Let y = 3 - 2. Let w(b) = b**3 + 9*b**2 + 7*b + 4. Calculate the remainder when (y + 22/1)*1 is divided by w(-8).
11
Let q = 14 + -6. Calculate the remainder when 15 is divided by q.
7
Suppose g + 94 + 79 = 4*w, 123 = 3*w - 3*g. What is the remainder when w is divided by ((-4)/(-6))/((-2)/(-69))?
21
Let t(c) = -5*c + 6. Let i = 15 + -11. Suppose 0*v = i*v - 84. What is the remainder when v is divided by t(-1)?
10
Suppose -2*z - z + 12 = 0. Let d(o) = -o**3 + 5*o**2 - o - 3. What is the remainder when (-13)/((-2)/4 - 0) is divided by d(z)?
8
Suppose 0 = -w + 3, 0 = 3*r - 2*w - 43 - 20. What is the remainder when 45 is divided by r?
22
Suppose 2*w = -v - 3*v + 4, 3*w - 6 = 4*v. Suppose -4*a = -3*t - 35, -a = 4*t + w - 6. What is the remainder when 28 is divided by a?
4
Calculate the remainder when 8 is divided by (-12)/(-8) + 15/6.
0
Let c(y) = -y**3 - 6*y**2 + 2*y - 24. What is the remainder when 29 is divided by c(-7)?
7
Suppose 17 = 2*u - f - 20, 0 = -5*f - 25. Let l = 16 + -14. Suppose l*q - 118 = -24. Calculate the remainder when q is divided by u.
15
Suppose 0*b - 1885 = -5*u - b, 3*b = 15. What is the remainder when u/5 + 12/(-60) is divided by 19?
18
Let z be (-42)/(-8) + (-3)/12. Suppose z*t = -5*g + 2*t + 56, -g + t = -16. Let v(o) = 37*o**2 - 2*o - 1. What is the remainder when v(-1) is divided by g?
12
Suppose -2*w - z = w - 14, 18 = 2*w + 5*z. Calculate the remainder when 3 is divided by w/14 + 24/14.
1
Let s = -154 + 178. Calculate the remainder when 60 is divided by s.
12
Suppose 0*d = 8*d - 24. Calculate the remainder when 8 is divided by d.
2
Calculate the remainder when 33 is divided by ((9/(-3))/(-3))/(6/30).
3
Suppose l + 20 = -4*l, s - 269 = -2*l. What is the remainder when s is divided by 35?
32
Suppose l + 0*l - 7 = 2*f, 4*l + 2*f = 68. Calculate the remainder when 262/6 - (-2)/(-3) is divided by l.
13
Let k = 2 - 5. Let a = 8 + k. Suppose a*q - 43 = 3*x, q + 4*x = -q + 38. What is the remainder when 32 is divided by q?
10
Let h(n) = -14*n**3 - n**2 + n + 1. What is the remainder when 62 is divided by h(-1)?
10
Suppose -w + 3*b = w - 20, 0 = -3*w - 4*b - 4. What is the remainder when 6 is divided by w?
2
Suppose 2*x = 3*a - 29, -a - 3 + 10 = -2*x. What is the remainder when 30 is divided by a?
8
Suppose -32 = -4*s + 8. Suppose -j + s = -17. What is the remainder when j is divided by 15?
12
Suppose -2*c - 29 = -0*j - 3*j, 46 = 5*j - c. Calculate the remainder when 51 is divided by j.
6
Let y(k) = 8*k - 158. Suppose 4*i = 2*q + 34, 3*q = 5*q + 2. Calculate the remainder when i is divided by y(20).
0
Let k(z) = z**3 - 4*z**2 + 2*z + 1. Let x be 7/3 - 2/6. Suppose -4*a = -x*r + 10, -a - 2*a + 5 = r. Calculate the remainder when k(4) is divided by r.
4
Suppose -2*u + 20 = -b - 41, u + 5*b = 58. Let d = -17 - -34. What is the remainder when u is divided by d?
16
What is the remainder when 4/(-4*2)*-52 is divided by 7?
5
Let s(d) = -d**2 + 10*d + 4. What is the remainder when 83 is divided by s(6)?
27
Suppose -2*j + 166 = 4*v, 3*j - 3*v + 332 = 7*j. Suppose 5*f + 0*f + b - j = 0, 3*f = -3*b + 45. Calculate the remainder when f is divided by 9.
8
Suppose y + 3*y = 4. What is the remainder when 65*(6/(-10) + y) is divided by (12/(-8))/(12/(-56))?
5
Let a(k) be the third derivative of k**6/120 - 7*k**5/60 + 3*k**4/8 - k**3/3 - 7*k**2. What is the remainder when 109 is divided by a(6)?
13
Let q(v) = -v**3 - 10*v**2 - 9*v + 8. Let u be q(-9). Suppose -10 = -3*c + u. Suppose 2*b = 6*b - 64. Calculate the remainder when b is divided by c.
4
Suppose k - 2*k = -2, -2*o + 6 = -k. Suppose -o*p + p - 75 = 0. Let q = -2 - p. Calculate the remainder when q is divided by 8.
7
Let b(d) = 3*d - 3. Let t = 4 - 2. Let h = 16 + -12. Calculate the remainder when h is divided by b(t).
1
Suppose 51 = 4*n - 3*l, -6*n = -3*n - 4*l - 47. Let b = 61 + -36. Calculate the remainder when b is divided by n.
7
Let g be 1/4*(-16)/(-4). Let j be -26 - (3 + -1 + -3). Let r = g - j. Calculate the remainder when r is divided by 9.
8
Suppose 5*n - 46 = 9. What is the remainder when n is divided by 6?
5
Let r(j) = -j + 1. Let i be r(-3). Suppose 36 + 20 = i*w. Let p(c) = 2*c**3 - 3*c**2 + c + 2. What is the remainder when w is divided by p(2)?
6
Let s(a) = 16*a**2 - a - 1. What is the remainder when s(1) is divided by 5?
4
Let z = 0 - -7. Suppose 5*k = -2*r + 31, 4*k + 6*r - r = 18. Calculate the remainder when 5/(70/24)*k is divided by z.
5
Let c(g) be the third derivative of g**4/12 + 7*g**3/3 + 4*g**2. Calculate the remainder when 5 is divided by c(-6).
1
Suppose 73 = 4*s - 27. Suppose -29 = -5*z - 9. Suppose -z*c + 27 = -c. What is the remainder when s is divided by c?
7
Let f(s) = -s**2 + 7*s + 4. Let i be f(7). What is the remainder when 25 is divided by 18/(((-8)/i)/(-1))?
7
Let v(p) = -9*p**2 + 8*p**2 + 5*p + 3 + p. Suppose 3*l - 2*o - 91 = 0, 15 = -2*l - o + 78. Calculate the remainder when l is divided by v(5).
7
Suppose -a - 5*w = -2*a + 11, a - 11 = 2*w. Let x(r) = 20*r - 3 + 1 + 3. What is the remainder when x(1) is divided by a?
10
Let w(t) = -2*t - 3. Let v be w(-4). Suppose -39 = -v*b + 141. Calculate the remainder when b is divided by 13.
10
Let t(x) = -x**3 + 6*x**2 + 6*x + 10. Let f be t(7). Suppose -f*v + 2*v = -11. Calculate the remainder when v is divided by (-2)/6 + (-38)/(-6).
5
Suppose -1 + 0 = -v. Suppose 0 = f - 5*f + 4*j + 28, 27 = f - 5*j. Calculate the remainder when f is divided by v.
0
Suppose 0*r - 2*r + 4*n = -28, -66 = -3*r - 2*n. What is the remainder when 57 is divided by r?
17
Suppose -5*x + 115 = -0*x. Suppose -x - 64 = -w. Let i = 127 - w. What is the remainder when i is divided by 14?
12
Suppose 0 = -3*t + 22 + 50. Calculate the remainder when 237 is divided by t.
21
Let p = -12 - -23. Calculate the remainder when 42 is divided by p.
9
Suppose 0 = c - 2*l - 10, 2*l + 0 = -10. Let r be 95/35 - (-2)/7. Suppose r*j + 15 = c, f - j = -2*j + 12. Calculate the remainder when 50 is divided by f.
16
Let d(s) = 35*s**3 - s + 1. What is the remainder when 174 is divided by d(1)?
34
Suppose 2*g = -3*x + 59, -4*x - g = -x - 61. Let d = -7 + x. Calculate the remainder when 41 is divided by d.
13
Let o(b) = b**2 + 5*b - 4. Let j be o(-6). Suppose -4*q = 16, j*q = 2*x + 3*q - 76. Calculate the remainder when x is divided by 21.
19
Let v = -37 + 59. What is the remainder when v is divided by 8?
6
Let y(j) = 12*j**2 - j - 1. Calculate the remainder when (-3)/(-2) - 469/(-14) is divided by y(-1).
11
Suppose 0 = -3*r + 8*r - 20. Suppose -l + r = 2. Let n(c) = -4*c - 75. What is t