 r**3 + 7*r**2 + 5*r + 8. Suppose -8*m = -4*m - 160. What is the remainder when m is divided by s(-6)?
12
Suppose 160 = 6*s - 2*s. What is the remainder when s is divided by 7?
5
Suppose 0 = -5*i - 4*n + 75, 5*i = 8*n - 4*n + 75. What is the remainder when 283 is divided by i?
13
Suppose f = -2*i + 63, -5*i + 73 = -4*f + 338. Suppose -2*y - 3*d + 21 = 0, 3*d + f = 5*y - 2*d. What is the remainder when y is divided by 5?
2
Suppose -3*z + 43 = 2*k, 2*z - 7 = 3*k + 13. Let u = -1 + 1. Suppose u*i = 3*i - 21. What is the remainder when z is divided by i?
6
Suppose 5*w + w - 36 = 0. What is the remainder when w is divided by 4?
2
Suppose 230 = 3*j + 2*j. Let p(m) = -m**2 - 7*m. What is the remainder when j is divided by p(-4)?
10
Let p be (-1)/(1/1) + 21. Suppose 0 = -3*t - 6. Calculate the remainder when -2 + p*1 - t is divided by 7.
6
Let v(z) = 50*z - 1. Suppose 2*f + 2*f - 4 = 0. Calculate the remainder when v(f) is divided by 13.
10
Let n be ((-6)/(-18))/((-2)/(-12)). Suppose -y + 3 + 18 = -j, -n*y + 3*j = -41. Calculate the remainder when y is divided by 12.
10
Let f be (-1 + 30)*(-3 - -2). Suppose 0 = -t - 46 + 6. Let m = f - t. What is the remainder when m is divided by 4?
3
Suppose -2*i + 4*p + 2 = -6, 4*i + p = 52. Calculate the remainder when 81 is divided by i.
9
Suppose -2*j = -2*c + 38, 5*c - 44 = 3*j + 55. What is the remainder when 82 is divided by c?
19
Suppose -135*r + 132*r = -81. What is the remainder when r is divided by 16?
11
Let z(q) = -q. What is the remainder when z(-6) is divided by ((-1)/3)/(2/(-24))?
2
What is the remainder when 21 - (1 - (2 - 3)) is divided by 5?
4
Let g = 1 - -2. Suppose 4*j - g*y + 104 + 116 = 0, y = 4. Let b = -29 - j. Calculate the remainder when b is divided by 8.
7
Let i be (-32 + 2)/(2 + -4). Let z be ((-6)/(-4))/(2/(-12)). Let r = i + z. Calculate the remainder when 17 is divided by r.
5
Suppose -2*k + 3*u = 4*u - 53, -2*u + 81 = 3*k. What is the remainder when k is divided by 9?
7
Suppose -3*n + 41 = 4*z, 4*n - 64 = -5*z - 11. Calculate the remainder when 15 is divided by n.
1
Suppose 3*f = 34 + 23. Let h be (0 + -1)/(2/22). Let v(k) = k**2 + 6*k + 1. Calculate the remainder when v(h) is divided by f.
18
Suppose -4*m + 70 = -3*v, 4*m - 60 - 14 = 5*v. Calculate the remainder when m is divided by 9.
7
Let r(m) = -m**3 - 4*m**2 + 10*m + 8. Let w be r(-7). Suppose -5*c = -0*c - w. Suppose -6*p - 245 = -11*p. Calculate the remainder when p is divided by c.
15
Suppose 3*i = -w + 82, 2*w + 410 = 7*w - 3*i. Suppose -2*p - 48 = -2*z, -3*p - w = -3*z - 2*p. What is the remainder when z is divided by 11?
7
Let g(v) = v**3 - 2*v**2 - 3*v + 3. Let s be g(3). Let q = 14 - s. What is the remainder when 32 is divided by q?
10
Let m = 2480 - 1019. Suppose -q - 455 = m. Calculate the remainder when (-2)/9 - q/36 is divided by 18.
17
Suppose 5*u - 2*x - 11 - 36 = 0, -45 = -3*u - 3*x. What is the remainder when 32 is divided by u?
10
Let b = 8 + -4. What is the remainder when 64/10 - (-4)/(-10) is divided by b?
2
Suppose z - 44 = -5*t + 19, -46 = -4*t - 3*z. Calculate the remainder when 49 is divided by t.
10
Let d be 846/(-4)*(-10)/15. Suppose 4*j = 3*o - d, -2*j - 19 - 30 = -o. Let r = 28 - 17. What is the remainder when o is divided by r?
10
Suppose m - 6*z - 19 = -4*z, 4*m = z + 48. Suppose 4*w = 7*w - 18. Calculate the remainder when m is divided by w.
5
Let j(o) = -3*o**3 - 3*o**2. Suppose 4*p + 277 = -p + 2*g, 5*p + 3*g = -272. What is the remainder when (p/5)/((-1)/2) is divided by j(-2)?
10
Let x = 47 + -40. Suppose 0 = 2*k - 10, -g - 5*k + 42 = -3. What is the remainder when g is divided by x?
6
What is the remainder when 81 is divided by 15 - ((-1)/1)/(5/(-5))?
11
Let z(v) = 2*v + 10. What is the remainder when z(8) is divided by 10?
6
Suppose 0*h = 2*z - 4*h - 80, 5*h = -5*z + 245. Suppose x - 3*x = 2*o - 110, o + 4*x = z. Let w = -26 + o. Calculate the remainder when w is divided by 17.
15
Let m(k) = k + 3. Let s(d) = d + 2. Let h(u) = -4*m(u) + 3*s(u). What is the remainder when 22 is divided by h(-11)?
2
Let x(j) = -j**3 + j**2 + j + 66. Let q be x(0). Suppose g + 2*g - 3*m = q, -2*m = -4*g + 88. What is the remainder when g is divided by 12?
10
Let j = -24 + 45. Suppose 0 = 4*q - j - 15. What is the remainder when q is divided by 5?
4
Let k(o) = -o**3 + 11*o**2 + 15*o - 13. Let r be 24/14*126/18. Calculate the remainder when 66 is divided by k(r).
20
Suppose 0 = 26*i - 18*i - 272. Calculate the remainder when i is divided by 20.
14
Suppose -2*v - 3*v = -b - 79, 4*b + 76 = 5*v. Calculate the remainder when 63 is divided by v.
15
Let v(h) = -h**3 - 6*h**2 - 7*h - 1. Let u(d) = d**2 - 4*d - 5. Let x be u(4). Calculate the remainder when v(x) is divided by 3.
0
What is the remainder when 7 is divided by 2 + 5 + (-4)/2?
2
Calculate the remainder when 12 is divided by -1*1/(-2)*10.
2
Suppose 2*r + 5 = 3*r. Suppose r*k - 56 = 3*i, -5*i + 2*i + 9 = 0. What is the remainder when 23 is divided by k?
10
Let x be -1*3/6*-2. Suppose 4*f + x - 17 = 0. Let u(n) = 2*n**2 + n - 4. Calculate the remainder when u(-3) is divided by f.
3
Calculate the remainder when 232 is divided by 750*(-2)/(-32) + (-1)/(-8).
44
Let y be 1/(-4) + (-75)/(-12). Suppose 5*a - 29 = y. What is the remainder when a is divided by ((-18)/12)/(2/(-4))?
1
Let f = -17 + 34. Let w = -3 + f. Calculate the remainder when w is divided by 8.
6
Let f(j) = 6*j**2 + j. Calculate the remainder when f(-3) is divided by 14.
9
Let n = -6 - -12. Let k(s) = s**2 - 14*s + 1. Let y(t) = t + 1. Let d(a) = -k(a) - 6*y(a). Calculate the remainder when 8 is divided by d(n).
3
Let f(d) = 137*d**2 + 2*d - 1. Let w be f(1). Let g = 193 - w. What is the remainder when g is divided by 14?
13
Let v be 1 + 0 + -119 + 0. Let c = -230 - -147. Let j = c - v. What is the remainder when j is divided by 12?
11
Suppose 4*l + 11 - 59 = 0. Suppose 3*j - 12 = 0, -3*c + 7*c - 3*j = l. What is the remainder when c is divided by (0 + 2)/((-1)/(-2))?
2
Let u(n) = -n**3 + 6*n**2 + 2*n - 1. Let l = 20 + 1. Calculate the remainder when u(4) is divided by l.
18
Let f(g) = -9*g + 3. What is the remainder when f(-2) is divided by 11?
10
Let v = 2 + 6. Calculate the remainder when 14 is divided by v.
6
Let h be ((-2)/3)/((-10)/165). Let x = -5 + h. Suppose 4*f - x = 3*f. Calculate the remainder when f is divided by 3.
0
Suppose -2*l - 52 = -4*m, 2*m - 1 = -3*l + 41. What is the remainder when 26 is divided by m?
11
Suppose 3*w + 7 + 11 = 0. Let v be ((-2)/4)/(1/2). What is the remainder when (-1110)/(-36) + v/w is divided by 11?
9
Suppose 4*h + 16 = -0*h. Let r = 7 + h. Let o(u) = -u**2 + 8. What is the remainder when o(0) is divided by r?
2
Suppose -3*l + 99 = -0*l. Let z = 6 - -3. Calculate the remainder when l/2 + 5/(-10) is divided by z.
7
Suppose 0*y - 7*y = -35. What is the remainder when 29 is divided by y?
4
Suppose -4*i + 2*c + 408 = -c, 4*i - 440 = -5*c. Calculate the remainder when i is divided by 12.
9
Suppose 2*l - 97 - 3 = 0. Calculate the remainder when l is divided by 17.
16
Suppose -5*w + 4*r = 27 - 163, 3*w = -4*r + 56. What is the remainder when 95 is divided by w?
23
Let l = -6 - -13. Let y(b) = -b**2 + 27. What is the remainder when y(0) is divided by l?
6
Let v be (-7 + -1)*15/10. Let u be 7*((1 - v) + 2). Calculate the remainder when ((-8)/10)/((-6)/u) is divided by 8.
6
Let u(x) = -x**3 - 7*x**2 - 8*x - 9. Let i(k) = k - 2. Let m be i(-4). What is the remainder when 4 is divided by u(m)?
1
Let p(l) = 2*l. Suppose 3*b - 8*b = -2*v - 23, 0 = -v - 4*b + 21. Let d be p(v). Calculate the remainder when 11 is divided by (12/(-10))/(d/(-10)).
5
Suppose 0 = -q + 3*n - 2*n + 13, -4*n - 2 = q. Suppose -o = 4*a + q, -a + 0 = o - 5. Calculate the remainder when 37 is divided by o.
7
What is the remainder when 4/(-4*3/(-9)) is divided by 1?
0
Let f = 14 - 8. Let d = -12 + 7. What is the remainder when f is divided by ((-6)/d)/((-6)/(-20))?
2
Let v be (197 - 2) + (-1 - 1). Suppose -v + 25 = -3*g. Calculate the remainder when g is divided by 8/12 + (-165)/(-9).
18
Suppose 215 = 4*k + 19. Calculate the remainder when k is divided by 26.
23
Suppose 0 = 5*o - i - 19, 7*o - 17 = 4*o - 5*i. Calculate the remainder when 14 is divided by o.
2
Suppose -3*z - 21 - 18 = 0. Let n = z + 2