he remainder when v(12) is divided by 9?
8
What is the remainder when 3/3*(-3)/6*-74 is divided by (26/3)/(2/3)?
11
Let v(o) = 7*o**2 - 1. Let y be v(1). Suppose 2*x - 20 + y = 0. Calculate the remainder when 20 is divided by x.
6
Suppose -8 = -4*b + 4*h, 3*h + 0*h + 4 = 5*b. Let w(p) = 9*p**2 + 1. Calculate the remainder when 29 is divided by w(b).
9
Suppose 5*c - 177 = -4*j, 2*j = 2*c + 5*j - 68. Suppose 0*y + 5*y = 40. Suppose -y = -3*u + 31. What is the remainder when c is divided by u?
11
Suppose 15 = -2*m + 7*m. Suppose m*u + 7 = 19. Suppose 12 = u*g - 3*g. What is the remainder when 23 is divided by g?
11
Suppose -2*m + 5*m - 69 = 0. What is the remainder when m is divided by 6?
5
Let n(b) = 9*b - 2. Let s be (40/(-3))/((-9)/27). Let l = s - 27. Calculate the remainder when n(3) is divided by l.
12
Let d be (-2)/4 + 614/4. Suppose 2*h - 5*m - 40 = 32, -m = 5*h - d. Suppose -36 = -r + 5*g, 3*r + g - 38 = 2*g. Calculate the remainder when h is divided by r.
9
Let t = -84 + 153. Calculate the remainder when t is divided by 18.
15
Let m(k) = k**3 + 9*k**2 - 12*k - 15. What is the remainder when 14 is divided by m(-10)?
4
Let q = 9 - -3. Let x(b) be the first derivative of -b**4/4 + 4*b**3 + b**2/2 - 11*b - 3. What is the remainder when 1 is divided by x(q)?
0
Suppose -2*o = -l + 69, 2*o = 7*o - 5. Suppose 4*n - m = 99, 12 = -3*n + 4*n + 4*m. Calculate the remainder when l is divided by n.
23
Let a(z) = z**2 - 5*z - 3. Let s be a(4). Let m(b) = b + 8. Calculate the remainder when 2 is divided by m(s).
0
What is the remainder when 32 is divided by (-1 - 0 - -9) + 1?
5
Suppose -39 = -3*i + 156. What is the remainder when i is divided by 17?
14
Suppose 0*i + 76 = 2*i. Suppose -4*j - 156 = -5*g, -g - j - 5 + i = 0. Calculate the remainder when g is divided by 11.
10
Let h be (6 - 1)*(-10)/25. Let t = 4 + h. Suppose t*w = 3 + 19. What is the remainder when w is divided by 6?
5
Let x(b) = -3*b. Calculate the remainder when 34 is divided by x(-3).
7
Let g(k) = -k**3 - 5*k**2 + 4*k - 7. What is the remainder when g(-7) is divided by 33?
30
Suppose -i = i - 4. Let k(m) = -3*m - 8. Let p be k(-4). Suppose -s - 9 = -4*u + p, 0 = 5*u + 2*s. What is the remainder when i is divided by u?
0
Let n(f) = -f**3 - 9*f**2 - 5*f. Let q(z) = -z**3 - 10*z**2 - 5*z - 1. Let w(t) = -4*n(t) + 3*q(t). What is the remainder when w(-4) is divided by 4?
1
Let g(q) = -q - 2*q + 6*q. What is the remainder when 26 is divided by g(3)?
8
Let i(k) = k**2 - 4*k - 9. What is the remainder when 66 is divided by i(9)?
30
Calculate the remainder when 9 is divided by (-4)/((-12)/(-9) + -2).
3
Let j(q) = 3*q + 50. Calculate the remainder when 99 is divided by j(-8).
21
Calculate the remainder when 1/(-2)*(-2 + -50)*1 is divided by 7.
5
Suppose -5*y + 2 = -3. Let r(s) = 13*s. Calculate the remainder when 3 - ((-19)/y - 2) is divided by r(1).
11
Let f = 15 - 1. What is the remainder when 41 is divided by f?
13
Let l(y) = -7*y**3 + y**2 - 1. Calculate the remainder when 18 is divided by l(-1).
4
Suppose 4*i = -4*m + 34 - 14, 0 = 4*m. Calculate the remainder when 59 is divided by i.
4
Let z = 99 + -85. What is the remainder when 28 is divided by z?
0
Let d = 40 + -3. What is the remainder when d is divided by 13?
11
Let y(c) = c + 1. What is the remainder when 29 is divided by y(5)?
5
Let t(a) be the third derivative of -a**5/60 - a**4/3 - 3*a**3/2 + a**2. Let j be t(-7). Let u = 3 - j. Calculate the remainder when u is divided by 3.
2
Suppose 10*u + 3*u - 299 = 0. What is the remainder when u is divided by 14?
9
Let z(o) = -o**2 + 9*o + 4. Suppose -3*f - 30 = -6*f. What is the remainder when z(7) is divided by f?
8
Let n = 32 - 15. Calculate the remainder when 32 is divided by n.
15
Suppose 2*x = 8 + 12. Let n = 5 - 2. Let a = x + n. Calculate the remainder when 37 is divided by a.
11
Suppose -2*x = -3*w + 33, w - 10 - 1 = 5*x. Calculate the remainder when 41 is divided by w.
8
Let p = -67 + 82. Calculate the remainder when 72 is divided by p.
12
Let r(j) = j**3 - 2*j**2 - 2*j + 3. Let n be r(2). Calculate the remainder when (n - 0)/(-2)*12 is divided by (6*1)/((-6)/(-4)).
2
Let s = 78 + -75. Suppose -5*x + 7 = -l - 93, -5*x - 3*l = -100. Suppose -2*n + j = -7*n + x, -15 = -s*j. Calculate the remainder when n is divided by 1.
0
Let y = -2 + 12. Let o(a) = a**3 + 1. What is the remainder when o(3) is divided by y?
8
Suppose 4 = -3*f + 46. Let h = 7 + -5. Suppose -2*d = -5*x + 132, -4*x + 102 = -h*d + 4*d. What is the remainder when x is divided by f?
12
Suppose -3*p = -2*p - 14. Calculate the remainder when p is divided by 5.
4
Suppose -4*z + 0*q + 344 = 2*q, -346 = -4*z - 3*q. Calculate the remainder when z is divided by 30.
25
Suppose 30 = -5*w + 7*w. What is the remainder when 119 is divided by w?
14
Suppose 456 = 4*x - 4*p, -2*x - 585 = -7*x + 2*p. Calculate the remainder when x is divided by 40.
39
Let k(n) = n**2 + 3*n - 7. Suppose 4 - 101 = -3*b + w, -2*b = 5*w - 59. What is the remainder when b is divided by k(3)?
10
Let m = 90 + -87. Calculate the remainder when 34 is divided by m.
1
Let n = -3 - -2. Let v be (-15)/(-10)*(-16)/(-3). Let d = n + v. Calculate the remainder when 13 is divided by d.
6
Let r = 2 - -53. Suppose v - 32 = -2*n + 22, 0 = 5*n + 4*v - 129. What is the remainder when r is divided by n?
26
Let f be ((-2)/(-6))/((-2)/(-18)). Let t = f - 0. Let c(a) = -a**3 + 18*a**2 - 2*a + 42. What is the remainder when c(18) is divided by t?
0
Let h(w) = -w**2. Let o(j) = -15*j**3. Let n(x) = h(x) + o(x). Suppose 0 = -2*v - 2. Calculate the remainder when n(v) is divided by 5.
4
Let b(l) = -l + 48. Calculate the remainder when 131 is divided by b(15).
32
Let s(h) = -6*h**3 - 2*h**2 - 2*h - 1. Let p = 0 - -3. Suppose p*k = -3*g + k + 39, -42 = -3*g - k. What is the remainder when s(-2) is divided by g?
13
Suppose 4*b + 5*d = 58, b - 2*b + 13 = 2*d. Let t(u) = 11*u**2 + u + 2. What is the remainder when t(2) is divided by b?
14
What is the remainder when 27/18*20/6 is divided by 1?
0
Suppose -3*o - 17 = -4*o. What is the remainder when 67 is divided by o?
16
Suppose 3*v - 4*v - 5 = 0. Let f = v + 9. Calculate the remainder when 10 is divided by f.
2
Let b(w) = -w**2 - 14*w + 16. Let t(v) = -v. Let j(z) = -b(z) + 4*t(z). What is the remainder when j(-12) is divided by 5?
3
Let d = 3 - -1. What is the remainder when 75/(-2)*d/(-6) is divided by 14?
11
Let s = 4 + 9. Let q(y) = -y - 3. Let f be q(-8). Suppose 0*g - 42 = -g + 2*x, -f*g + 200 = -5*x. What is the remainder when g is divided by s?
12
Let t be 1/(-2) - (-203)/14. Suppose -3*x + 44 - t = 0. Suppose 0 = 3*m - 19 + 1. What is the remainder when x is divided by m?
4
Let q(p) = p + 2. Suppose 8 = 4*y - 2*u - 2, -y - 3*u = 1. What is the remainder when q(2) is divided by y?
0
Suppose v + 3 - 19 = 0. Let x(u) = -u**3 + 7*u**2 - u + 2. Let s be x(7). Calculate the remainder when v is divided by (-2)/s - 28/(-5).
4
Let o(c) = -c**2 - 12*c - 18. Calculate the remainder when o(-8) is divided by 4.
2
Suppose -5*d = 2*t - 2*d + 35, 5*d = 4*t + 125. Let k = 21 - t. Suppose 0 = 5*b - k - 14. Calculate the remainder when 23 is divided by b.
11
Suppose 2*h + 1 = h. Let w = -3 - -7. Let s = w + h. What is the remainder when 7 is divided by s?
1
Let z = 110 + -97. Calculate the remainder when 24 is divided by z.
11
Let n(s) = s**2 + 4*s + 3. Calculate the remainder when n(-5) is divided by 6.
2
Let l = 55 + -85. Let b = 57 + l. Calculate the remainder when b is divided by 10.
7
Suppose 5*l + 24 - 99 = 0. Suppose -3*x + l = 0, -v - 2*x + 14 = -3. What is the remainder when v is divided by 2?
1
Suppose -4*z = -9*z + 95. Let w be 6*(-1 + (-10)/(-6)). Suppose w*y = 5 + 23. Calculate the remainder when z is divided by y.
5
Let o(b) = 2*b**2 - 2*b + 2. Let r be o(4). Calculate the remainder when 51 is divided by ((-15)/6 + 3)*r.
12
Let h(n) = -8*n - 3. What is the remainder when h(-5) is divided by 10?
7
Let p = 127 + -119. Calculate the remainder when 47 is divided by p.
7
Suppose q + 2*n = 24, -2*n + 35 = -5*q + 107. Calculate the remainder when q is divided by 10.
6
Let n be (-10)/(-45) - 484/(-9). Suppose -n = -m + 5*i, 4*m - 6*i + i = 156. What is the remainder when m is divided by 18?
16
Let r(g) = g**3 - 4*g**2 - 6*g. Let y be r(5