ate the remainder when 9 is divided by b.
3
Suppose 2*f - 36 = -3*c, -7*f - 5*c + 40 = -5*f. Calculate the remainder when 29 is divided by f.
14
Let f be 48/10 + (-7)/(-35). Suppose 48 = -g + f*g. Suppose 5*l = 2*w + g, 4*w + 0*l + 5*l = 36. What is the remainder when w is divided by 2?
0
Suppose 0*b - 3*b = -6. Suppose b*o + 5 = 13. Suppose -u = -2*c - 3, 0*u - c - 9 = -3*u. What is the remainder when o is divided by u?
1
Let c = -53 - -68. What is the remainder when 54 is divided by c?
9
Let i(j) = j**2 + 9*j - 9. Calculate the remainder when 128 is divided by i(-11).
11
Let n be (-4)/(-16) - (-23)/4. Suppose 2*o + 4 = -2*x, n*x + 10 = x. Suppose 0 = -o*c + 5*c - 35. What is the remainder when 12 is divided by c?
5
Let l = 235 + -181. Calculate the remainder when l is divided by 7.
5
Suppose 7 = -5*z - 3. Let k be -1 - ((1 - 2) + z). Suppose 2*d + a + a - 8 = 0, -d + 16 = -k*a. What is the remainder when d is divided by 5?
3
Calculate the remainder when 68 is divided by (-9)/((-27)/(-12)) - -18.
12
Calculate the remainder when 8 is divided by 24/20*(-5)/(-2).
2
Suppose -5*a = 4*t - 12, -5*a + 6 = t + t. What is the remainder when ((-4)/(-10))/((-1)/(-25)) is divided by t?
1
Suppose 55 = 5*w + 5*v, -2*w + 4*v = -4*w + 26. Suppose 8*n + 231 = 15*n. What is the remainder when n is divided by w?
6
Let u = -30 + 50. Calculate the remainder when 59 is divided by u.
19
Let f(w) = w**2 + 3*w - 18. What is the remainder when f(6) is divided by 20?
16
Let b(c) = -4*c + 5*c + 1 + 6*c. What is the remainder when b(2) is divided by 9?
6
Suppose 0 = -5*u + 107 - 12. Calculate the remainder when 35 is divided by u.
16
What is the remainder when 8/2 + 41 + 1 is divided by 17 - ((-1)/1 - -2)?
14
Suppose -56 = -2*o - 2*o. What is the remainder when 55 is divided by o?
13
What is the remainder when 7 is divided by (-16)/(16/(-4)) + -2?
1
Let l = -5 - -14. Calculate the remainder when 1/3*(94 + -1) is divided by (12/10)/(l/60).
7
Suppose 0 = -5*b - 4*f + 31, -2 = 3*f + 1. Let q = b + -4. Suppose 111 = q*c - x + 3*x, 0 = 3*c - x - 120. Calculate the remainder when c is divided by 20.
19
Let j = 1 + 11. Suppose -2*y - j = -5*y. Let g = -26 + 36. What is the remainder when g is divided by y?
2
Let d(y) be the first derivative of y**3/3 + 9*y**2/2 + 10*y - 4. What is the remainder when d(-8) is divided by 2?
0
Let d(z) = 7*z. Suppose -3*n = -n - 10. What is the remainder when d(2) is divided by n?
4
Let z = -10 - -14. Suppose z*p = -13 + 41. Suppose 2*i + 4*f - 34 = 0, 0*f + 2*f + 48 = 4*i. Calculate the remainder when i is divided by p.
6
Let c(x) = -4*x + 1. Let r be c(2). Calculate the remainder when 30 is divided by -2 - 1 - (-27 - r).
13
Let z(h) = h + 11. Let v(t) = t - 6. Let d be v(6). Calculate the remainder when 20 is divided by z(d).
9
Let v(n) = -n**2 + 19*n + 12. What is the remainder when 45 is divided by v(19)?
9
Let c = -1 + 5. Suppose 2*d = n - 1, 5*d - 3*n = -c - 0. Calculate the remainder when -3 + ((-1)/d - -6) is divided by 2.
0
Let i = -13 - -15. Let d = i - -6. What is the remainder when 22 is divided by d?
6
Let y be -1 + (-32)/6*-3. Calculate the remainder when 24 is divided by (y/45)/(1/39).
11
Suppose -6*b = -3*b + f - 45, 0 = -4*b - 3*f + 60. Suppose 5*m = 40 + b. What is the remainder when 42 is divided by m?
9
Suppose 2*o - 36 = w, 5*w = o - 0*o - 9. What is the remainder when 54 is divided by o?
16
Let z = -4 + 14. Suppose -32 + z = -r. Suppose -2*i = -4*i + 130. What is the remainder when i is divided by r?
21
Let w = 9 + -9. Suppose w = -a + 2, 0 = -b + 4*a + 15 + 20. Calculate the remainder when b is divided by 11.
10
Let z = -33 + 46. Suppose -4*h - 21 = -3*v, h + z + 17 = 3*v. Suppose -j - 68 = -3*k - 3*j, 3*j - 52 = -2*k. Calculate the remainder when k is divided by v.
9
Suppose 3 = r + 2*r. What is the remainder when 2 is divided by r?
0
Let n = 2 - 0. Let u = 17 + -16. Suppose i = 2 - u. Calculate the remainder when n is divided by i.
0
Let y(f) = f + 2. Let b be y(2). Suppose -125 = -2*v + b*o - o, -2*v - 2*o + 120 = 0. Calculate the remainder when v is divided by 21.
19
Let k = 48 - 19. Calculate the remainder when 55 is divided by k.
26
Suppose -38*x - 9 = -41*x. Suppose 3 = 4*o - 3*s, 5*o - 3 = -3*s + 21. Calculate the remainder when x is divided by o.
0
Let l = 47 - 27. What is the remainder when l is divided by (-4 - (-10 + -3)) + -1?
4
Suppose -l + 2*l + 6 = 0. Suppose 2*c = -3*c + 2*o + 41, o - 20 = -2*c. Calculate the remainder when ((-2)/(l/51))/1 is divided by c.
8
Let g = 52 - 28. What is the remainder when 93 is divided by g?
21
Let z = -3 + 16. Let y = 6 - 4. Let o(a) = 5*a**2 + 2*a - 1. Calculate the remainder when o(y) is divided by z.
10
Suppose 29 = n + 10. Suppose -72 = -8*a + 6*a. What is the remainder when a is divided by n?
17
Suppose z - 120 = -0*z. Suppose f = 2*g - 4*f - z, -5*g = f - 327. What is the remainder when g is divided by 22?
21
Suppose 4*j - 64 = -4*i, -4*j - 5*i + 51 = -9. Calculate the remainder when 87 is divided by j.
7
Suppose 0 = -5*i + 36 + 19. What is the remainder when i is divided by 7?
4
Let c(j) = -j**3 + 6*j**2 + 8*j + 5. Calculate the remainder when c(7) is divided by 7.
5
Suppose -k + 32 = l, 3*l - k - 55 - 41 = 0. Suppose 0 = -2*x - l + 94. What is the remainder when x is divided by 8?
7
Suppose -4*j - 36 = -0*j. Let x be 10/3 + 3/j. What is the remainder when (-4)/(-2) + (5 - x) is divided by 3?
1
Let p(y) = -y**3 - y**2 - 4*y - 1. Let c = 18 + -14. What is the remainder when p(-3) is divided by (2 + c)*(-8)/(-6)?
5
What is the remainder when (-1 + 0)/(2/(-94)) is divided by (40/(-16))/(2/(-20))?
22
Suppose -54 - 510 = -4*i. Suppose 5*z + i = 376. What is the remainder when z is divided by 10?
7
Suppose 0*r - 12 = -4*r. Suppose 0*l = -l + r*c + 5, 0 = 5*l - 4*c - 69. Calculate the remainder when 49 is divided by l.
15
Let n(p) = -p**3 - 4*p**2 + 8*p - 5. Let j(a) = a**2 - 4*a - 1. Let c be j(5). Let v = 3 + c. What is the remainder when n(-6) is divided by v?
5
Let m be 244/28 - (-4)/14. Suppose -v = -y + 3, -2*y + 3*v = 4*v - m. Suppose -4 = -t + y. Calculate the remainder when 15 is divided by t.
7
Let k(m) = 0 - 2*m - 1 + 42*m**2 - 14*m**2. Calculate the remainder when k(-1) is divided by 10.
9
Suppose z + 3 = 5. What is the remainder when z is divided by (0 - 1)/((-4)/4)?
0
Suppose 0 = 5*n - 0*n - 240. Suppose p = -3*p - n. What is the remainder when 6/3 + 0 - p is divided by 5?
4
Suppose 0 = 4*t + 4*k - 256, 3*k - k - 189 = -3*t. What is the remainder when t is divided by 16?
13
Suppose 4*a - 56 = 2*a. Suppose -258*o + 256*o = -20. What is the remainder when a is divided by o?
8
Suppose 637 = 3*q + 4*a, -2*q + 0*a = 4*a - 422. Suppose 4*u = -u + q. Suppose -i + 5 = -3*s - 9, -s = -2*i + u. What is the remainder when i is divided by 12?
11
Suppose -1170 = 7*f - 16*f. What is the remainder when f is divided by 19?
16
Suppose 0*b - 2*b + 14 = 0. Let n(r) = r**2 - r. Let z = 35 + -30. What is the remainder when n(z) is divided by b?
6
Suppose -3*d - 2*f + 3*f + 33 = 0, -4*d - 4*f = -60. Suppose -i + d + 2 = 0. Calculate the remainder when (-6)/(-4) + i/4 is divided by 2.
1
Let o be 3/(-2) - 4/(-8). Calculate the remainder when 32 is divided by (2 + (-11 - 2))/o.
10
Let c be (-1)/(4/(-132)*-3). Let u(h) = h**2 - 14. Calculate the remainder when u(c) is divided by 22.
19
Suppose -11*z = -5*z - 72. Calculate the remainder when 33 is divided by z.
9
Suppose -u = -2*u. Suppose u = o - 2*z - 15, 4*o - 2*z = -z + 53. Calculate the remainder when o is divided by 5.
3
Let p(u) = -2*u + 0*u - 1 + 15*u**2 + u. Calculate the remainder when p(-1) is divided by 4.
3
Suppose 5*s - 5*i - 80 = 0, -2*s + 5*s - 56 = -5*i. What is the remainder when 32 is divided by s?
15
Let z(s) be the first derivative of -s**3/3 + 69*s + 1. Calculate the remainder when z(0) is divided by 18.
15
Calculate the remainder when 4/((-48)/524)*-3 is divided by 33.
32
Suppose 2*d = -f + 6 + 24, 0 = 3*d + 4*f - 50. Calculate the remainder when 53 is divided by d.
11
Let d = 82 - 38. What is the remainder when 131 is divided by d?
43
Suppose 0 = -5*v + 2*k, -4*v - 4*k = -3*v - 22. Suppose v*j = 0, 0*j - 2*j - 63 = -3*x. Calculate the remainder when 61 is divided by x.
19
Let w(u) = -23*u - 12. Calculate the rema