ppose 1 = -5*v + 3*i, -5*i - 13 = 2*v - 2*i. Let b(y) = -y**3 - y - 1. What is the remainder when 15 is divided by b(v)?
6
Let z(y) = 18*y + 2. Let v(k) be the third derivative of k**4/24 + 7*k**3/6 + 3*k**2. What is the remainder when z(2) is divided by v(6)?
12
Let m = -2 + 2. Let u(a) = a**3 + 33. Let o be u(m). Let s = o + -14. Calculate the remainder when 37 is divided by s.
18
Suppose 2*t - 32 = -5*k + k, -3*t + 2*k + 24 = 0. What is the remainder when 36 is divided by t?
6
Suppose 0*l - 5*y = -l - 5, -4*l - 4*y = -76. Suppose l = -4*p + 51. Suppose 0 = 3*x - 0*x - p. Calculate the remainder when 7 is divided by x.
1
Suppose b + 48 = 5*b. What is the remainder when 35 is divided by b?
11
Let z(c) be the second derivative of c**4/3 - c**3/3 - c**2 + c. What is the remainder when z(-3) is divided by 14?
12
Let v = -29 - -49. Calculate the remainder when v is divided by 11.
9
Let i be (-4 + 3)*(-2)/1. What is the remainder when (0 - -2)*(i - -3) is divided by 3?
1
Let z(x) = x**3 + 3*x**2 - 2*x. Calculate the remainder when 63 is divided by z(2).
15
Let n(k) = 61*k + 1. Let j be n(1). Suppose 4*c - 2*c = j. Calculate the remainder when c is divided by 11.
9
Suppose 5*z = -q + 25 - 0, 0 = -5*z + 20. Suppose 0 = q*l - 46 - 124. Suppose 0 = -i - i + l. What is the remainder when i is divided by 9?
8
Let a(j) be the second derivative of -j**5/20 - j**4/3 + j**3/6 - 7*j**2/2 + 3*j. What is the remainder when 38 is divided by a(-5)?
12
Let z(w) = -w + 6. Suppose 1 = 4*f + x - 14, 0 = 2*f + 4*x - 4. Suppose 0*r + 35 = -f*s - r, -5*r - 4 = s. Calculate the remainder when 44 is divided by z(s).
14
Suppose -3*d - 132 = -7*d. Suppose 4*x = 5*h - 79, -2*h = -2*x - x - d. Calculate the remainder when 28 is divided by h.
13
Suppose 4*n - 26 = 42. What is the remainder when 48 is divided by n?
14
Let r be (31/1 - -3) + 1. Let t = r + -18. Calculate the remainder when t is divided by 7.
3
Let y = 151 - 50. What is the remainder when y is divided by 17?
16
Let h(v) = v**3 + 10*v**2 - 12*v + 3. Calculate the remainder when 40 is divided by h(-11).
12
Let h(r) = r**3 + 3*r**2 - 2*r - 1. Let q be 2 - (2 - 0/1). What is the remainder when h(-3) is divided by 2/((-6)/(-9) - q)?
2
Suppose -808 + 235 = 3*l. Let u = 287 + l. Suppose 0 = 3*n - u - 90. Calculate the remainder when n is divided by 16.
14
What is the remainder when 67 is divided by 1 + (4 - 0) + 13?
13
Let h(m) = m**3 + 3*m - 2 - 1 + 11*m**2 + 2*m - 4. What is the remainder when h(-10) is divided by 15?
13
Let m = -6 - -14. Let z be (2 + -2)/(3 - 4). Let g = z + 22. Calculate the remainder when g is divided by m.
6
Let w = 37 + -13. Calculate the remainder when w is divided by 13.
11
Suppose 7 = c - x, -2*x = -c + x - 3. Let i(b) = -19*b + 2. Calculate the remainder when i(-1) is divided by c.
9
Let y(q) = -q**3 + 5*q**2 + 9*q + 1. Calculate the remainder when 35 is divided by y(6).
16
Suppose -87 = -x + 3*k, -2*x - 3*k = -k - 174. Calculate the remainder when x is divided by 8.
7
Suppose 4*s = 2*s + 2, -s + 9 = 2*o. Suppose o = 5*i - 6. What is the remainder when 3 is divided by i?
1
Let p(y) = -7*y - 18. Let n(x) = -3*x - 9. Let z(h) = -9*n(h) + 4*p(h). What is the remainder when z(-8) is divided by 10?
7
Let c(h) = 2*h**2 - 11*h - 39. Calculate the remainder when c(12) is divided by 15.
12
Suppose 7*v - 38 = 18. Let t be (-4 - -2) + 4 + 19. Suppose 2*i = v, z - i = -2*i + t. Calculate the remainder when z is divided by 9.
8
Let q be 42/8 - 1/4. What is the remainder when (-1)/5 - (-191)/q is divided by 13?
12
Let u = 5 - 2. Suppose 4*s - u = s. Calculate the remainder when 1 is divided by s.
0
What is the remainder when 23 is divided by 8/(-2) - (-12 - 4)?
11
Suppose -2*i = -5*d + 101, 0*d = -2*d + 3*i + 47. Suppose -4*r - 3 = -147. What is the remainder when r is divided by d?
17
Suppose -4*l + 3*l + 145 = 0. What is the remainder when l is divided by 37?
34
Suppose 0*g - 3*g + 54 = 0. What is the remainder when g is divided by 5?
3
What is the remainder when 223 is divided by 42 - 2 - (-4 - 1)?
43
Suppose 3*g - 100 = g. Suppose -f - g = -3*f. Calculate the remainder when 99 is divided by f.
24
Let w = 39 + -32. Calculate the remainder when w is divided by 3.
1
Let s = 5 + -7. Let x(j) = -j**2 + 2*j. Let q be x(2). What is the remainder when 12 is divided by 7/2*(q - s)?
5
Suppose 2*s - 25 = -11. What is the remainder when 10 is divided by s?
3
Let y(g) = g**2 + g - 3. Let k = 26 - 20. Calculate the remainder when y(k) is divided by 10.
9
Let d(u) = 3*u**2 + 3*u + 0*u + 0*u - 3. Suppose -2*v = -v - 2. Calculate the remainder when d(v) is divided by 9.
6
Suppose -56 - 100 = -4*d. Calculate the remainder when d is divided by 12.
3
Let a(r) = -2*r + 1. Let l be a(2). Let c(j) = -10*j. What is the remainder when c(l) is divided by 8?
6
Let n be 5 + 17 + -1*2. Suppose -4*s - 2*g - g + 28 = 0, -5*g - n = 0. Let w(o) = -o + 4. What is the remainder when s is divided by w(0)?
2
Suppose -b + 7 = -24. What is the remainder when b is divided by 7?
3
Suppose 0 = -5*u + 4*r + 5 + 2, -3*u - 4*r = -17. Let h(p) = -2*p - 7. What is the remainder when h(-7) is divided by u?
1
Let v(h) = 3*h**2 + 2*h - 2. Let p = 12 - 8. Suppose -p*w - 15 = -83. Calculate the remainder when w is divided by v(-2).
5
Suppose -4*j - 560 = 4*o, 3*o + 25 = -j - 121. Let c = -98 - j. Suppose -r - 2*r = -c. Calculate the remainder when 24 is divided by r.
11
Let v = -6 - -27. Let y(b) = 2*b**2 - 8*b + 6. Calculate the remainder when v is divided by y(4).
3
Suppose -2*y - 5*i = 3*y - 65, 4*y = 4*i + 28. Let v = 34 - y. Suppose 6*f = 7*f - 13. Calculate the remainder when v is divided by f.
11
Suppose 46 - 3 = v. Calculate the remainder when 257 is divided by v.
42
Let z be ((-2)/5)/((-2)/(-10)). Let t = -2 - z. Suppose 4*u + t*u - 4 = 0. What is the remainder when u is divided by 1?
0
Suppose -5*i = -225 + 65. Calculate the remainder when i is divided by 7.
4
Suppose -2 = 2*l + 2. Let y be (-272)/l - (0 + 1). Suppose -25 = -4*g + y. Calculate the remainder when g is divided by 14.
12
Let p(t) = 2*t + 2. Let f be (-21)/12 + 2/(-8). Let a be (-1 - 1) + 3 - f. What is the remainder when 14 is divided by p(a)?
6
Let u(w) = -w**3 - 7*w**2 - w - 1. Let m be u(-6). Let j = m - -88. Calculate the remainder when j is divided by 15.
12
Let i(f) = -2*f + 2. Let m be i(-2). Calculate the remainder when 1494/27*m/4 is divided by 28.
27
Let d = -3 + 4. Let j be (-1)/d*-1*57. Suppose -5*m = -6*f + f + 165, 0 = -f - 5*m + j. Calculate the remainder when f is divided by 13.
11
Suppose 17 = 3*p - 5*b, -p + 4*b = 7*b - 15. Let r be 6/p*(0 + 21). What is the remainder when (-2)/(-7) - (-24)/r is divided by 1?
0
Let s = -17 + 24. Calculate the remainder when s is divided by 2.
1
Let b be 7/(-2) - (-2)/4. Let h(u) = -u**2 + 5. Let v(m) = -3*m**2 - m + 11. Let c(w) = b*v(w) + 7*h(w). Calculate the remainder when 6 is divided by c(-2).
2
Suppose 0*c = 5*c - 285. Calculate the remainder when c is divided by 12.
9
Let h = 6 - 4. Let t(y) = 9*y - 1. Calculate the remainder when t(h) is divided by 5.
2
Suppose -3*a + 45 = 2*a. Suppose 0 = 3*d - 6*j + 3*j - 66, 5*j - 26 = -3*d. Calculate the remainder when d is divided by a.
8
Let c be (-4)/14 + (-36)/21. Let r be 18/4 - 1/c. Let d = -1 + r. Calculate the remainder when 10 is divided by d.
2
Let k(v) = v + 43. Let d be -6 + (3 - 0) + 25. Let s = 37 - d. Calculate the remainder when k(0) is divided by s.
13
Suppose 5*d + 30 = 3*g - 16, 2*g = -2*d + 36. Suppose h - v = -2 + 5, 2*h + 3*v - 16 = 0. Calculate the remainder when g is divided by h.
2
Let i(c) = -c**2 - 10*c + 4. Calculate the remainder when 10 is divided by i(-10).
2
Let l = 2 - 2. Suppose -3*s + 15 = -3*a, l = -4*s + a + 3 + 26. Suppose -m = -0 - s. What is the remainder when m is divided by 5?
3
Let g(y) = -5*y**3 - y**2 + 2*y - 4. What is the remainder when g(-2) is divided by 18?
10
Let g(j) be the first derivative of j**2 - 3*j - 2. What is the remainder when 17 is divided by g(6)?
8
Let i(p) = p**3 - 7*p**2 - 7*p - 4. Let t(a) = a**3 - a + 3. Calculate the remainder when i(8) is divided by t(0).
1
Suppose -q - 3*j = -3, 3 = -3*j - 0. Let v = q - -10. What is the remainder when 31 is divided by v?
15
Let n be (7 + 0)/((-3)/(-45)). Suppose q - 4*m = 