 remainder when y(6) is divided by 15.
13
Suppose -q + 12 = -5*o - 41, -4*q - 4*o + 116 = 0. What is the remainder when 96 is divided by q?
30
Let c be 122/(-5) - 8/(-20). Let m = 0 - c. Let s(j) = 6*j + 1. Calculate the remainder when m is divided by s(2).
11
Suppose x + 2*x = 3*n + 42, 2*x = -n + 25. What is the remainder when 19 is divided by x?
6
Let v be 5/(-2) + (-2)/(-4). Suppose z - i - 8 = 0, -2*z = 3*z + 4*i - 58. Calculate the remainder when (-339)/(-9) + v/(-6) is divided by z.
8
Let t = 89 + -79. Suppose 0 = 3*c + 5*k - 97, 0*c - 2*k + 31 = c. What is the remainder when c is divided by t?
9
Suppose 0 = 4*x - 2*x. Let d = x + 7. Suppose 0 = 6*a - 2*a - 16. Calculate the remainder when d is divided by a.
3
What is the remainder when (-144)/(-45)*290/4 is divided by 18?
16
Let h be (-8 - -3)*(-2)/5. Suppose -4*v + h*v = -32. Calculate the remainder when 31 is divided by v.
15
Suppose l - 4*l = 18. Let f be (-20)/(3/((-27)/l)). What is the remainder when 11 is divided by (6/(-5))/(9/f)?
3
Let d(g) be the first derivative of -g**3/3 - 11*g**2/2 - 13*g + 5. Calculate the remainder when 14 is divided by d(-9).
4
Let s(r) be the first derivative of r**4/4 - r**3/3 + r**2/2 + 2*r - 1. Calculate the remainder when 6*(-10)/(-4) + -1 is divided by s(2).
6
Let w(s) = -3*s**3 + s**2 + 5*s - 1. Let b(y) = -y**3 - y. Let m(v) = -4*b(v) - w(v). What is the remainder when 9 is divided by m(1)?
3
Let d(c) = -3*c - 1. Let j = -6 - -19. Let i = 19 + j. What is the remainder when i is divided by d(-4)?
10
Let f = 76 - 39. What is the remainder when f is divided by 17?
3
Suppose 2*a + 18 = j, -5*a - 52 = -4*j + 11. What is the remainder when 79 is divided by j?
7
Let y = 27 + -16. Let s(o) = o**3 - 8*o**2 + 4. Let x be s(8). Suppose x*q = 2*z + 84, -35 + 5 = -q + 5*z. Calculate the remainder when q is divided by y.
9
Let i(s) = s**3 - 2*s**2 + 4. What is the remainder when i(3) is divided by 8?
5
Let m be 6/(-36) + 26/12. Suppose m = f - 2. Calculate the remainder when f is divided by 2.
0
Suppose 4*q = 16 + 68. Suppose q - 7 = b. Suppose -2*p + 5 = -p. Calculate the remainder when b is divided by p.
4
Let f = -1 - -5. Suppose -f*j + 69 = -11. Calculate the remainder when j is divided by 7.
6
What is the remainder when 30 is divided by ((-34)/6)/(1/(-3))?
13
Suppose -j + 6 = -3*x - 9, 0 = j + 3*x + 9. Suppose -j*u + 4*u - 35 = 0. Calculate the remainder when u is divided by 9.
8
Let t = 133 + -3. What is the remainder when t is divided by 19?
16
Let m(n) = n. Let x be m(4). Suppose 330 = x*h - 2*s, 0 = h + 2*s + 3*s - 99. Let z = h - 50. Calculate the remainder when z is divided by 12.
10
Suppose 0 = p + d, p = -d + 6*d + 12. Calculate the remainder when p is divided by 1.
0
Let p(o) = 2*o**2 - 2*o + 5. Let k be p(4). Suppose -f - g + 4 = -3, 2*g = -5*f + k. What is the remainder when f is divided by 3?
2
Let a = 11 + -9. Let w be (-4)/a*(-6)/4. Let x = w + 5. Calculate the remainder when 13 is divided by x.
5
Let n(a) = -a**2 - 4*a + 7. Let g be n(-5). Suppose 14 = g*i - 0*i. What is the remainder when 12 is divided by i?
5
Suppose p + 0 - 2 = 0. Suppose -p*a + 3 = -a. Suppose 3*g = g - a*z, -2*z + 8 = 4*g. Calculate the remainder when 7 is divided by g.
1
Suppose 0 = -0*u - 2*u + 2. Calculate the remainder when u/(-3) + (-670)/(-30) is divided by 12.
10
Suppose 0 = 9*s - 309 - 51. What is the remainder when s is divided by 6?
4
Let v(l) = -l**2 + 9*l - 8. Let p = -3 - -9. Let x be v(p). Let j = 48 - x. Calculate the remainder when j is divided by 13.
12
Suppose -2*i + 3*i - 14 = 4*w, -3*w - 30 = -4*i. Suppose 3*t + 5*c = 94, -c + 24 = t - i. Calculate the remainder when t is divided by 15.
13
Suppose 0*h = h + 5. Let z(u) = 5*u**2 + 6*u + 2. What is the remainder when z(h) is divided by 25?
22
Suppose -4*g - 3*y + 34 = 0, 0 = -4*y + 2*y - 4. Suppose 0*q - 2*q + 12 = 0. Let o = q - 2. Calculate the remainder when g is divided by o.
2
Let l(o) = o**2 - 6*o + 22. Calculate the remainder when l(9) is divided by 27.
22
Let x be (-2*1)/((-22)/11). Suppose -13 + x = -4*j. Suppose 3*r - 45 = -4*n, 0 = -n + r + j + 17. Calculate the remainder when 42 is divided by n.
12
Let t = 53 - 21. Let g = -22 + t. What is the remainder when 26 is divided by g?
6
Suppose 23 = 5*d - 7. Let a(r) = -r**2 + 6*r + 2. Let w be a(d). Suppose 0 = -p - p + w*b + 28, -2*b = p - 26. What is the remainder when p is divided by 10?
8
Let r be ((-2)/3 - -2)*-6. Let z(p) = p**2 + 8*p + 9. Let x be z(r). What is the remainder when 38 is divided by (-3)/x*(-38 + -1)?
12
Let l = -18 + 26. Suppose l*k = 10*k - 142. What is the remainder when k is divided by 24?
23
Let h = -50 + 128. Suppose 4*k - 45 = -1. What is the remainder when h/4 - 3/(-6) is divided by k?
9
Suppose -3*f = -0*f - 12. Calculate the remainder when 11 is divided by f.
3
Let h(w) = w**2 - 2*w + 1. Let y be h(8). Suppose 2*q = 3*r - 155, -3*r - y = -4*r - 2*q. What is the remainder when r is divided by 13?
12
Let t = 58 - 33. What is the remainder when 48 is divided by t?
23
Let m(c) = c**3 + 2*c**2 - c. Let d be m(-2). Let v(a) = a - 8. Calculate the remainder when 6 - 2/(-4)*d is divided by v(12).
3
Let x(y) = y + 7. Let k = -7 + 0. Let r be x(k). Suppose 4*j + r*j = 8. What is the remainder when 3 is divided by j?
1
Let z be (-1)/2 - (-28)/(-8). Calculate the remainder when 54 is divided by z/(-2 - (-12)/7).
12
Suppose -4*o = -3*d - 5, 2*d = 5*o + 7*d - 15. Let s be (2 - (3 - o)) + -3. What is the remainder when (-5 - -3) + 5 + s is divided by 1?
0
Let x = 357 + -160. Calculate the remainder when x is divided by 50.
47
Suppose 3*u - 24 = u + 5*c, 0 = -5*u + 4*c + 60. Let q = -10 - -22. Let o = -5 + q. Calculate the remainder when u is divided by o.
5
Suppose 5*n = 22 + 98. Calculate the remainder when n is divided by 7.
3
Calculate the remainder when 106 is divided by 7 - (10/(-1))/2.
10
Suppose f = 8*f - 140. What is the remainder when 66 is divided by f?
6
Let k be ((-123)/12)/((-1)/(-4)). Let z = 28 + k. Calculate the remainder when 26 is divided by -1 - -1*(2 - z).
12
Suppose 5*k - 448 = -73. Suppose 0*l + 3*b = -3*l + k, 0 = -4*l - b + 94. Let z = 18 - 10. What is the remainder when l is divided by z?
7
Let s(d) = -d**3 + 4*d**2 + d. What is the remainder when 18 is divided by s(3)?
6
Let q(v) = 2*v**3 + v + 2. What is the remainder when (0 - 77*-1) + 2 is divided by q(2)?
19
Let m(s) = -s**3 + 5*s**2 - 5*s. Let l be m(4). Let h = 3 + l. What is the remainder when h - (-15 - (-1 - -1)) is divided by 8?
6
Let k(q) be the third derivative of q**6/120 - q**5/20 + q**4/8 - q**3/2 - 6*q**2. What is the remainder when (-34)/(-4)*(0 + 2) is divided by k(3)?
5
Suppose 3*q = j + 2*j - 69, 0 = 5*j - 4*q - 110. Calculate the remainder when 29 is divided by j.
11
Suppose c - 7 - 5 = 0. Let s = 0 + c. What is the remainder when 35 is divided by s?
11
Let s = 86 - 69. What is the remainder when 67 is divided by s?
16
Let t be (-1 - -2)*(-14 - -1). Suppose 123 = 3*d + k, -3*k + 28 = d - 7*k. Let z = d + t. What is the remainder when z is divided by 7?
6
Let k = -99 - -105. Calculate the remainder when -6*(1 + 16/(-6)) is divided by k.
4
Let d = -47 - -112. What is the remainder when d is divided by 34?
31
Let k(u) = -u**3 - 10*u**2 + 10*u + 11. Let x = 5 - -3. Calculate the remainder when k(-11) is divided by x.
6
Suppose 5*x = 2*p + 55, -4*x - 4*p + 26 = -2*p. Let v(r) = -33*r + 1. What is the remainder when v(-1) is divided by x?
7
Suppose 3*z - 2*b - 12 + 2 = 0, -4*b = z - 8. Suppose -d - 4 = d. Calculate the remainder when (11 + -4)*d/(-1) is divided by z.
2
Let r = -13 + 57. Calculate the remainder when r is divided by 23.
21
Let g be 5 + -4*(-2)/4. Let x = g - -9. Suppose 105 - 13 = 2*u. What is the remainder when u is divided by x?
14
Let u(x) = x**3 - 8*x**2 - 6. Let y be u(8). Let c(t) = -t - 2 + 2*t - 4*t. What is the remainder when c(y) is divided by 6?
4
Let b be 2 + (-3 - -3)/3. Suppose -9 = b*c - 33. What is the remainder when 14*(5/2 + 0) is divided by c?
11
What is the remainder when 77 is divided by (40 - (-2 + 1)) + (-5 - -3)?
38
What is the remainder when (-173)/(-2) - 10/(-20) is divided by 22?
21
Suppose 0*v + 59 = v. Suppose -4*p = -3*n + 17, p + 0*p - v = -5*n. Calculate the remainder when n is divided b