 9. Calculate the remainder when x is divided by 12.
10
Let b = -2 - -5. Let x be b/(-6) - (-1)/2. Suppose -3*j + 14 + 10 = x. What is the remainder when 22 is divided by j?
6
Let h = 16 - 7. Let v = -1 + h. Calculate the remainder when v is divided by 5.
3
Suppose 141 + 35 = 4*y. Let c(r) = -r + 1. Let o be c(1). Let w = o - -23. What is the remainder when y is divided by w?
21
Suppose 4*j - 2*j = 0. Suppose j = 4*d + 5*f + 9, 5*d + 0*f + f = 15. Calculate the remainder when 6 is divided by d.
2
Suppose k + 3*a + 5 = -2*a, -a = -4*k + 1. What is the remainder when 37 is divided by (-13 + k/2)*-1?
11
Suppose 15 = -3*r + 3*o, 4*r + 5*o + 0*o + 20 = 0. Let s = r - -16. What is the remainder when s is divided by ((-14)/(-21))/(4/18)?
2
Let n = -9 - -9. Let g = 11 + n. What is the remainder when 41 is divided by g?
8
Suppose -39 + 6 = -r. Let y(z) = 4*z - 9. Let n be y(7). Let s = r - n. What is the remainder when s is divided by 8?
6
Suppose -4*b + 20 = -0*b. Calculate the remainder when 16 is divided by b.
1
Let k = -63 - -89. What is the remainder when 49 is divided by k?
23
Let t = 19 - 10. What is the remainder when 26 is divided by t?
8
Suppose 5*z - 72 = -3*h, -34 = -2*z + h + 3*h. What is the remainder when 44 is divided by z?
14
Suppose -5*o = -0*o + 2*k - 60, 0 = 3*k - 15. Suppose z - o = 1. Let i = z - 7. What is the remainder when 6 is divided by i?
2
Suppose 2*h - 8 = -r - 0*h, -12 = 5*r - 3*h. Let f = 2 + r. Suppose x = -4*y + 12, -15 = -5*y - x - f*x. What is the remainder when 10 is divided by y?
1
Suppose 4*i - 50 - 62 = 0. Calculate the remainder when i is divided by 10.
8
Let m = 9 - 42. Let n = -18 - m. What is the remainder when n is divided by 6?
3
Let x be (-2)/((-4)/(-2)) - 5. Calculate the remainder when 30 is divided by -1 + (-3 + 1)*x.
8
Suppose 3*f + 0*p + 2*p = 73, -2*f + 49 = p. Suppose -2*y - 7 + f = 0. What is the remainder when y is divided by 4?
1
Let l(r) = r**2 - 1. Suppose -4*a + 2 + 6 = 0. Let m be l(a). What is the remainder when (7 - 31)*(-5)/m is divided by 14?
12
Let k = -1 + 6. Let w = k - 6. What is the remainder when w*(0 + -1 + -1) is divided by 1?
0
Suppose 219 = 4*v - 141. Suppose 2*c + 3*c - v = 0. Calculate the remainder when c is divided by 4.
2
Let p(t) = -6*t - 3. Let j(r) = -r**2 - 6*r + 4. Let a be j(-6). Suppose 4*q + y = -q - 14, a*q - 3*y = 4. What is the remainder when p(q) is divided by 5?
4
Let r = 31 - 4. Calculate the remainder when 52 is divided by r.
25
Suppose -6*a - 4*x + 2 = -3*a, 0 = -5*x - 20. Suppose 40 + 6 = 2*z. Calculate the remainder when z is divided by a.
5
Let a = -4 + 6. Suppose h = -2, 9 = -4*p - 3*h - 5. What is the remainder when a is divided by (p + 3)/((-1)/(-2))?
0
Suppose y = 5*y - 3*a - 46, -42 = -5*y - 4*a. Calculate the remainder when 196/y - 2/(-5) is divided by (3 + 0)/((-27)/(-63)).
6
Suppose 0 = -4*c + 2*q + 54, -3*c + 2*q = 4 - 42. Calculate the remainder when c is divided by 6.
4
Let k(m) = -m**2 + 12*m - 3. What is the remainder when k(10) is divided by 6?
5
Let w be 0/(0 - (-8)/(-2)). Suppose w*c = -2*c + 10. Calculate the remainder when 9 is divided by c.
4
Suppose -5*c - 3*m + 209 = -276, -5*c + 485 = -m. What is the remainder when c is divided by 51?
46
Let c(y) = -y**2 - 21*y - 19. What is the remainder when c(-13) is divided by 44?
41
Suppose 2*u - 9 = u. Let w = 9 + u. What is the remainder when 53 is divided by w?
17
Suppose -4*p = -9*p + 3*g + 66, 2*p - 4*g = 32. Let q(d) = d**3 + 7*d**2 + 4*d + 4. Calculate the remainder when q(-5) is divided by p.
10
Let d(o) be the first derivative of -3*o**2 - 10*o - 3. Calculate the remainder when d(-10) is divided by 13.
11
Suppose -g + 2 = -2. Suppose 0 = 2*s - 72 + g. Calculate the remainder when s is divided by 3/(27/12 - 2).
10
Let u(x) = x**2 - 11*x - 14. Let a be u(12). Let d(w) = 2*w**2 + w - 2. Calculate the remainder when d(a) is divided by 3.
1
Let s(y) = 5*y - 1. Calculate the remainder when 25 is divided by s(3).
11
Let m = 40 + 8. Suppose x - m = -3*x. What is the remainder when 34 is divided by x?
10
Let o(c) = -6*c - 17. What is the remainder when 2/(-4) + (-194)/(-4) is divided by o(-7)?
23
Suppose -2*w + 13 = -55. Suppose 0 = 3*n - 5*n + w. What is the remainder when 32 is divided by n?
15
Suppose 0 = -2*i + n + 64, -4*i - 6*n + 3*n + 148 = 0. Suppose -4*v = -a, -4*a + 7*a = -4*v + 48. Calculate the remainder when i is divided by a.
10
Suppose 4*f - 87 = 13. Suppose -3*n + 1 = -2*n. Calculate the remainder when ((-73)/n - 1)*-1 is divided by f.
24
Let r(w) = -5*w - 4. Let a(d) = 12*d + 4. Let v be a(4). Suppose 0 = -u - 5*i + 4 - 15, 2*i + v = 3*u. Calculate the remainder when r(-6) is divided by u.
12
Suppose 3*j - 10 = -1. Let p(x) = 3*x - 7. Calculate the remainder when 7 is divided by p(j).
1
Suppose -2*x = -8 - 30. Let h(f) = -f**2 + 12*f - 13. What is the remainder when x is divided by h(10)?
5
Let o be 35/(-28)*(-3 + -1). Suppose 0 = 5*i + 5*p - 70, -15 - 73 = -o*i + p. What is the remainder when i is divided by 4?
1
Let a(w) = -w**2 + 4*w - 3. Let h be a(5). Let j = 16 + h. What is the remainder when j is divided by 5?
3
Let s = 32 + -8. Suppose -3*u = -2*g + 17, -2*u + s = 3*g - 6*u. Calculate the remainder when g is divided by 3.
1
Let a(f) = -8*f + 5. What is the remainder when 108 is divided by a(-3)?
21
Suppose v = 1 - 0. What is the remainder when 76 is divided by (29 - (4 - 1))*v?
24
Let y = 18 + -1. Calculate the remainder when 48 is divided by y.
14
Let b(p) = 5*p - 1. Let w(n) = 10*n - 3. Let j(s) = -9*b(s) + 4*w(s). Let u(t) = t - 8. Let o be u(6). Calculate the remainder when 27 is divided by j(o).
6
Let t(a) = -5*a + 1. Let f be t(6). Let w(h) = h - 7. Let u be w(-12). Let j = u - f. What is the remainder when 37 is divided by j?
7
Suppose 0 = -9*j + 4*j. What is the remainder when j - (3 + 24*-1) is divided by 12?
9
Suppose -10 = -5*q, 5*q = -4*i - 86 + 256. Calculate the remainder when i is divided by 7.
5
Let j(s) = -s**3 + 7*s**2 - 5*s - 17. Let a(b) = 3*b - 5. Calculate the remainder when a(6) is divided by j(5).
5
Let p = 7 + 3. Let s = 17 - p. What is the remainder when 13 is divided by s?
6
Suppose 0 = -14*y + 11*y + q + 66, 4*q = -4*y + 72. Calculate the remainder when y is divided by 6.
3
Let b be (-1 - 4) + (2 - 4). Let o = b - -30. Suppose 5*r + 4*g = 44, -r - g = -5*r + 31. Calculate the remainder when o is divided by r.
7
Let a = -98 - -157. Calculate the remainder when a is divided by ((-4)/2)/(-2) - -14.
14
Let p(z) be the third derivative of z**5/30 - 5*z**4/24 + 5*z**3/6 + 6*z**2. What is the remainder when 1 - (48*-1 - 1) is divided by p(4)?
16
Let r = 9 - 1. Suppose 4*j = 2*i - r, 4*i - 113 = -5*j - 32. What is the remainder when 39 is divided by i?
11
Suppose -o - 7 = -5*l, 0 = -2*l - 2*o - 3 + 1. Calculate the remainder when -11*(-3)/3*l is divided by 3.
2
Suppose -2*u + 3*j + 21 = 0, 7*j - 3*j - 41 = -5*u. What is the remainder when 51 is divided by u?
6
Suppose 4*y - t - 53 = -0*t, 4*y - 49 = -3*t. What is the remainder when y is divided by 57/9 - (-6)/9?
6
Suppose -4*c - 35 = -4*q - 7*c, -5*c = q + 4. Suppose -3 = 5*a - 33. Calculate the remainder when q is divided by a.
5
Let x be 0/((-1)/(4/8)). Suppose x = 4*p - k - 1, -3*p + 4*k + k = 12. Calculate the remainder when p is divided by 1.
0
Let y = 118 - 12. Calculate the remainder when y is divided by 37.
32
Calculate the remainder when 5/(-30) - 295/(-6) is divided by 17.
15
Let g be (5 - 7)*5/(-2). Suppose 3*s + g*k + 260 = 8*s, 0 = 5*k + 15. What is the remainder when s is divided by 10?
9
Suppose -2*h + 2*v + 30 = 0, 4*h - 5*v - 75 = -4*v. What is the remainder when 77 is divided by h?
17
Let j(o) = o**2 + o - 9. Calculate the remainder when 26 is divided by j(3).
2
Let s(b) = -5*b - 12. Let a be s(-5). Let x = a - 8. What is the remainder when x is divided by 2?
1
Suppose 3*n - 43 = -b, -3*b + 2*b + 4*n + 57 = 0. Calculate the remainder when 293 is divided by b.
48
Let r = 3 - 0. Suppose -r*m + 47 = -13. Calculate the remainder when 58 is divided by m.
18
Let b(t) be the first derivative of -21*t**2/2 - 15*t + 4. Let f(j) = 4*j + 3. Let s(x) = 2*b(x) + 11*f(x). What is the remainder when 25 is divided by s(5)?
12
Suppose 6 = 4*b - 5*b. What is the remainder when (-22)/3*(-39)/13 is