3. Calculate the remainder when v is divided by 29.
28
Suppose -2*k = 4*z + 994, -5*k + 47 - 1050 = 4*z. Calculate the remainder when (-6)/21 + z/(-7) is divided by 12.
11
Suppose 0 = 18*f - 19*f - 2*r + 91, 0 = -4*r. Calculate the remainder when f is divided by 24.
19
Suppose -3*c + 7*c = 0. Suppose -5 + c = -g. Suppose -4 = -g*h + 6. Calculate the remainder when 4 is divided by h.
0
Let c = 26 - 12. Let a = 49 - 9. What is the remainder when a is divided by c?
12
Let s be 41/5 + 1/(-5). Suppose g + 3*j = s*j + 28, -2*j = 3*g + 1. Suppose g + 15 = q. What is the remainder when q is divided by 10?
8
Let b = 30 - 20. Suppose 5*d - 19 + 4 = 0. Calculate the remainder when b is divided by 1*-1*(0 - d).
1
Suppose -7*g + 29 = 4*s - 2*g, s - 21 = -4*g. Let z(k) = k**3 - 4*k**2 + 2. Calculate the remainder when z(4) is divided by s.
0
Let f(h) = -2*h + 26. Calculate the remainder when 14 is divided by f(9).
6
Let o be 16/(-6)*18/(-8). Suppose -x - 46 = -3*x + 4*v, 5*x - 3*v = 87. Let q = x - o. What is the remainder when q is divided by 5?
4
Suppose b + 1 = 3. Let n be (b/(-3))/(2/(-3)). Calculate the remainder when (-1)/(-1)*33*n is divided by 17.
16
Let l(m) = 5*m - 1. Let q be l(1). Suppose 0*a + 5*t + 6 = 3*a, -q*t = a - 19. What is the remainder when 13 is divided by a?
6
Suppose 12 + 23 = 5*q. Suppose 5*j - 46 = 14. What is the remainder when j is divided by q?
5
Let g = 38 + -23. Suppose 2*q - 9 = -f, 2*f - 7*f + 3*q - 20 = 0. Let a(v) = -26*v**3 - 2*v - 1. What is the remainder when a(f) is divided by g?
12
Suppose y = -4*u - 0*y + 50, -2*y = -5*u + 56. What is the remainder when 59 is divided by ((-21)/(-12))/(1/u)?
17
What is the remainder when 19 is divided by (-20)/(-50) + 23/5?
4
Suppose 0 = -8*b + 5*b, -3*s + 39 = 3*b. Let m = -43 + 92. What is the remainder when m is divided by s?
10
Let c = -37 + 43. What is the remainder when 16 is divided by c?
4
Suppose 41 + 95 = 4*m. Let n = 10 - -2. What is the remainder when 0 + 2 + m - 2 is divided by n?
10
Let b be (1 + -2)/((-1)/(-3)). Suppose -3*m + 45 + 9 = 0. Calculate the remainder when 26 is divided by (b/6)/((-1)/m).
8
Suppose -2*n + 4*n - 26 = 4*q, 3*n = q - 1. Let o(v) = v**2 + 6*v - 1. Calculate the remainder when 28 is divided by o(q).
13
Let x(z) be the third derivative of z**5/60 - z**4/6 - 5*z**3/6 + z**2. Let y(s) = 3*s. What is the remainder when y(4) is divided by x(6)?
5
Let z(c) = -6*c**2 - 3*c + 2. Let l be z(-3). Let h(u) = u**2 + 4*u + 3. What is the remainder when 2/3 - l/3 is divided by h(-5)?
7
What is the remainder when (-1080)/(-11) - 2/11 is divided by 20?
18
Let d(i) = 3*i + 7 - i - 4*i. Calculate the remainder when d(-9) is divided by 7.
4
Let k = -25 + 28. Suppose 0*t = 4*o + 2*t - 126, 0 = k*o + 5*t - 77. Calculate the remainder when o is divided by 9.
7
Suppose -10 - 17 = -3*u. Calculate the remainder when 11 is divided by u.
2
Suppose 0 = 2*v - v - 18. What is the remainder when 67 is divided by v?
13
Let n be (2/(-6))/(4/(-12)). Calculate the remainder when 32 is divided by 8/n + -2 + 6.
8
Suppose -8 = -u + 3*r - 2*r, 0 = -4*u - r + 17. Suppose 3*d = 5*t - 1, u*t - 3*t - 4*d = -8. What is the remainder when t is divided by 1?
0
Let n be 2 - (-6 + 4 + -1). Suppose -2*t - 93 = -n*t. What is the remainder when t is divided by 11?
9
Suppose 58 = 4*p - r, -3*p + 18 = -2*p - 2*r. What is the remainder when p is divided by 3?
2
Let c = -8 + 11. Suppose -5*l + 40 = -c*n, 2*n + 30 = 5*l - 3*n. Calculate the remainder when 32 is divided by l.
10
Suppose 0*n + 3*n = -189. What is the remainder when 29 is divided by (-1)/(2 - n/(-30))?
9
Suppose 5*o = o + 84. Let k(h) = -h**2 + 6*h + 3. Calculate the remainder when o is divided by k(5).
5
Let x = 39 + -36. What is the remainder when 20 is divided by x?
2
Let r(m) = -m**3 - 19*m**2 + 19*m - 3. What is the remainder when r(-20) is divided by 10?
7
Let n(x) = -2*x**2 - 4*x. Let q be n(-3). Calculate the remainder when 6 is divided by 5 + q/(-2) + -4.
2
What is the remainder when 15 is divided by 6/10 - 1 - (-1645)/175?
6
Suppose 2*y - 3*h = 92, 0*h = -4*h - 8. Let z = 51 + y. Calculate the remainder when z is divided by 24.
22
Let z(n) = n**2 - 5*n - 5. Let t be z(6). Let p(s) = s**3 + 8*s**2 + 8*s + 6. Let x be p(-7). Calculate the remainder when (4*12)/t - x is divided by 17.
15
Suppose 10*i - 404 = 506. Calculate the remainder when i is divided by 31.
29
Suppose -5*z = -0*z - 125. Let w be 24/(-10)*(-3 + 1 - -7). Let v = w + z. Calculate the remainder when 51 is divided by v.
12
Suppose -142 = 4*o - 550. Calculate the remainder when o is divided by 21.
18
Let s = -17 - -75. Calculate the remainder when s is divided by 15.
13
Let g(z) = -2*z - 9. What is the remainder when 43 is divided by g(-7)?
3
Let v(f) = f**2 + 11*f + 14. Let w = 9 + 17. What is the remainder when w is divided by v(-11)?
12
Suppose -4*a + a + 27 = 0. Suppose 0 = -0*c - 5*c + 130. What is the remainder when c is divided by a?
8
Let x(i) = i**2 + 11*i + 3. Let j be x(-11). Suppose -10 = -2*d, -13 = j*c - 2*c - 3*d. Suppose -3*y + y = -8. What is the remainder when y is divided by c?
0
Suppose 5*d - 3*d = -3*r + 16, -2*d = -4*r - 44. What is the remainder when 27 is divided by d?
13
Suppose -20 = -2*d - 3*l, 3*d + 2*l - 9 = 2*d. What is the remainder when d is divided by 266/35 + 2/5?
5
Let g = -25 + 36. Let b(c) = 4*c**2 - 13*c + 11. Let f(v) = 5*v**2 - 14*v + 12. Let s(m) = 6*b(m) - 5*f(m). What is the remainder when g is divided by s(-8)?
5
Let y(d) = -d**2 + 3*d - 2. Let s be y(1). Let f(l) = l**2 - l + 22. Calculate the remainder when f(s) is divided by 12.
10
Suppose 4*u - 8*u = 20. Calculate the remainder when 1/2*2 - u is divided by 2.
0
Suppose 11 = w + 5*t - 3, 3*w + 5*t - 72 = 0. Let r(z) = 2*z**2 - 5*z - 2. Let i(s) = -s + 7. Let d be i(3). What is the remainder when w is divided by r(d)?
9
Let m be 51 + (0/(-2))/(-2). Suppose 5*x + 5*c - 235 = 0, 3*c - 46 - m = -2*x. Suppose -4*h + x = -2*h. Calculate the remainder when h is divided by 12.
10
Suppose 3*z = 5*t - t + 127, 0 = -2*z - 5*t + 123. Calculate the remainder when z is divided by 17.
15
Let c(x) = 10*x**2 - x + 1. Suppose -2*w + 72 = 2*w. Calculate the remainder when w is divided by c(1).
8
Suppose 5*q + d - 18 = 0, -q + 3*d = 2*d. What is the remainder when (q/(-2))/((-3)/64) is divided by 11?
10
Suppose -3*v = a + 15 - 0, 0 = 5*a - 15. What is the remainder when 1 + -2 - 1*v is divided by 3?
2
What is the remainder when 15 is divided by (-10 - -6)/((-2)/4)?
7
Suppose 3*r - 5*z + 1 + 3 = 0, 3*r = z + 16. What is the remainder when 19 is divided by r?
5
Let n = -55 + 78. Let s = -17 + n. What is the remainder when s is divided by 2?
0
Let u(n) = 5*n**2 + n. What is the remainder when u(-2) is divided by 5?
3
Let k(a) = 2*a**2 + 2*a - 5. Let q be k(-5). Suppose 4*o + 20 = 4*d, 4*d - 2*o = -3*o + q. Calculate the remainder when 23 is divided by d.
7
Let q(y) = -y**3 + 5*y**2 - 5*y - 2. Let z be q(4). Let s be (z/4)/(6/(-8)). Suppose 40 = s*b + 2*b. Calculate the remainder when 18 is divided by b.
8
Let f = -39 + -39. Let s = 115 + f. Calculate the remainder when s is divided by 13.
11
Suppose 0 = 5*s - 10, 4*p - 3*s - 5 = 9. Suppose p*v + u - 81 = 0, -5*u + 12 = 2*v - 2. Suppose 3*r - 111 = -12. Calculate the remainder when r is divided by v.
16
Let b be 2/(-8) - (-10)/8. Suppose 3*l - 5*f = -31, l + 2*l + 11 = f. What is the remainder when 21 is divided by (3 + l)*11*b?
10
Let h be -7 + 0 + 1/1. Let n = 5 - h. What is the remainder when 31 is divided by n?
9
Suppose 3*n + n - 48 = 0. Let j = -268 + 273. What is the remainder when n is divided by j?
2
Let r(g) = -g**3 - 5*g**2 - 6*g - 3. Let y be r(-4). Suppose y*o = -0*o. Suppose 4*l - 2*l - 30 = o. Calculate the remainder when 29 is divided by l.
14
Let u = -1248 - -1295. What is the remainder when u is divided by 12/((-1)/(-1*1))?
11
Let i(x) = -4*x**3 + 3*x**2 - 1. Let n(w) be the first derivative of w**2/2 + 3*w - 3. Let d be n(-5). Calculate the remainder when i(d) is divided by 22.
21
Let s(w) = w**3 - 10*w**2 + 3*w - 15. What is the remainder when 56 is divided by s(10)?
11
Let r = 29 - 14. Suppose 16 = 3*y - 8. Calculate the remainder when r is divided by y.
7
Suppose 90 = 2*o - 0*o. What is the remainder when o is divide