 What is the remainder when j is divided by ((-84)/(-70))/(4/10)?
1
Suppose 0 = -m + 5*m. Let s(l) = -l**2 - l + 20. Let g be s(m). Suppose -2*q - 2*q = -g. Calculate the remainder when 9 is divided by q.
4
Suppose -3*s + 7*s - 139 = 5*l, -4*l = -s + 21. Let c(h) = -h**3 + 8*h**2 + 15*h - 32. What is the remainder when s is divided by c(9)?
19
Suppose -4*k + 12 + 56 = 0. Suppose -13*x + 64 = -11*x. What is the remainder when x is divided by k?
15
Let j(c) = -4 + 2*c**2 - 5*c + 0 + 1 + 1. Calculate the remainder when j(4) is divided by 6.
4
Let c(j) = j**3 + j**2 + j + 7. Suppose 0 = -8*x + 11*x + 117. Let o = -27 - x. Calculate the remainder when o is divided by c(0).
5
Suppose 3*h - 3*m = 75, 0 = -4*h - 3*m + 5*m + 90. Calculate the remainder when 59 is divided by h.
19
Suppose 0 = j + 4 + 28. Let t = j - -59. Calculate the remainder when t is divided by 14.
13
Let l(v) = -v**3 - 4*v**2 - 2*v + 2. Calculate the remainder when 14 is divided by l(-4).
4
Let j = 25 - 12. Calculate the remainder when 59 is divided by j.
7
Let z(r) = r**3 - 8*r**2 - 8*r + 13. Let l be (9/4)/((-2)/(-8)). What is the remainder when 65 is divided by z(l)?
21
Let k be (6/4 + -1)*-4. Let p be 32/6 + k/(-3). Suppose p = 2*m - 4. Calculate the remainder when 12 is divided by m.
2
Suppose -3*m = -7*m + 36. Suppose 2*v - 2*d - m = -d, -4*v - 5*d + 53 = 0. Calculate the remainder when 24 is divided by v.
3
Suppose -3*b - 110 = -5*h - 30, -4*b - 59 = -3*h. Let z(p) = 7*p - 10. Calculate the remainder when z(5) is divided by h.
12
Let u(r) = -4*r**2 - 7*r + 13. Let m(x) = 11*x**2 + 20*x - 38. Let v(i) = 3*m(i) + 8*u(i). Let d = 48 + -44. Calculate the remainder when v(-7) is divided by d.
3
Let u = -21 - -34. Suppose 5*m = g + u, -5*m + 2 = -2*g - 4. What is the remainder when g is divided by 11 + (-30)/5 - (1 - -1)?
1
Suppose d - 16 = -2. Calculate the remainder when 55 is divided by d.
13
Let m(k) = -k**3 + 17*k**2 + 18*k + 25. What is the remainder when 49 is divided by m(18)?
24
Let b = 18 - 14. What is the remainder when 7 is divided by b?
3
Let x = -97 + 138. What is the remainder when x is divided by 15?
11
Let w(k) be the third derivative of k**5/20 + k**4/12 + k**2. Let o = -1 - 1. What is the remainder when 23 is divided by w(o)?
7
Let l be (-9 + 7)*82/(-4). Let j = 112 - l. What is the remainder when j is divided by 18?
17
What is the remainder when 4 is divided by (4/(-3))/((-6)/9)?
0
Suppose 0 = -2*z - 4*j + 4, 14 = -3*z + 5*j + 75. Let t = -5 - -19. Suppose 2*y - t = -0*y. Calculate the remainder when z is divided by y.
5
Suppose 87 = 2*s + 9. Suppose 2*j = -2*k + 6*k + 20, -k = 5*j - s. Calculate the remainder when 30 is divided by j.
6
Suppose 3*x + 3*y + 10 = 5*x, -5*x = -3*y - 16. Let q(j) = 2*j**2 - 1 - 2 - 2*j - x. Calculate the remainder when q(-5) is divided by 19.
17
Suppose 5*x - 4*m = 19, 7 = x - 2*m + 2. What is the remainder when (-1 - 0/(-3)) + 50 is divided by (-1)/(-3) - (-50)/x?
15
Suppose 3*o - 5*j = -10, -4*o - 50 = -9*o - 5*j. Suppose -z = -o*z. Calculate the remainder when 50 is divided by -17*((2 - 3) + z).
16
Suppose 10 = 2*j + z + 4, j + 8 = 5*z. Let n be 2 - 3 - 1*j. Let s = 18 + n. Calculate the remainder when 29 is divided by s.
14
Let s = -7 - -4. Let u = 5 + s. Suppose 3*m - u*g + 7*g = 208, -3*m + 3*g = -168. Calculate the remainder when m is divided by 21.
19
Suppose -3*b + 3 = -9. Let n(f) = -f**3 + 4*f**2 + 7*f - 7. Let v(w) = -w**2 + 9*w - 9. Let q be v(7). What is the remainder when b is divided by n(q)?
1
Suppose -3*u = -4*u + 10. Let l = 99 + -71. What is the remainder when l is divided by u?
8
Let n be (-5)/((-5)/6) + -1. Let x = n + -1. What is the remainder when 11 is divided by x?
3
Calculate the remainder when 87 is divided by (-372)/(-18) + 15/(-9).
11
Let u(s) = 7*s + 4. Let w(t) = -6*t - 4. Let o(f) = 4*u(f) + 5*w(f). Let r be o(-4). Suppose r*j - 9 = 3*j. What is the remainder when 26 is divided by j?
8
Let z = -1 - -6. Let p = 8 - -5. Calculate the remainder when p is divided by z.
3
Suppose 0 = -3*c + 15 + 21. What is the remainder when c is divided by 7?
5
Let x(u) = 4*u**2 + u - 4. Suppose -y - 12 = -2*y + m, 3*y = -4*m + 15. What is the remainder when x(3) is divided by y?
8
Suppose 3*q = -q + 48. What is the remainder when 22 is divided by q?
10
Let s(c) = 2*c**2 + 4*c. Calculate the remainder when s(-5) is divided by 11.
8
Let t(n) = 8*n - 20. What is the remainder when t(6) is divided by 8?
4
Let i(j) = -6*j + 15. What is the remainder when 51 is divided by i(-2)?
24
Let m(q) = q + 6. Let a be m(6). Suppose 3*r = -0*r + a. Suppose 0 = n - 3*n - 4, -2*u + 64 = r*n. Calculate the remainder when u is divided by 13.
10
Let o(s) = 9*s**2 + 2*s - 1. Let t be o(-2). Let j = -3 + t. Calculate the remainder when j is divided by 10.
8
Let f(k) = 7*k. Suppose 6*i - 3*i = 6. What is the remainder when f(i) is divided by 8?
6
Let g(w) = -3*w + 10. Let u(h) = h**3 + h - 6. Let l be u(0). Calculate the remainder when g(l) is divided by 5.
3
Let k(v) = -8*v + 3 + 3*v - 8*v + v**2 + 4*v. Let n be k(9). Suppose 14 - 5 = n*w. Calculate the remainder when w is divided by 3.
0
Let s(g) = -g**2 + 8*g + 1. What is the remainder when s(7) is divided by 2?
0
Let r = -11 - -29. What is the remainder when r is divided by 10?
8
Let z = -253 + 291. Suppose 4 = v + 2. Suppose 5*y = v*y + 60. Calculate the remainder when z is divided by y.
18
Let u = -41 + 64. Calculate the remainder when u is divided by (1/2)/(2/52).
10
Let h = -51 + 15. Let o = h + 75. Calculate the remainder when o is divided by 20.
19
Calculate the remainder when (-668)/(-10) + 4/20 is divided by 14.
11
Let v(w) = w**3 - 4*w + 3. Let t be v(2). Calculate the remainder when t - 2/((-2)/19) is divided by 12.
10
Let s be (-2)/(-9) + 129/27. Suppose 2*t + 2*r = 14, 13 + s = 4*t - r. Let k = -6 - -8. Calculate the remainder when t is divided by k.
1
Let o(m) = -m**2 - 6*m. Let u be o(-5). Suppose s + 12 = u*s. Suppose -s*h + 118 = 4*v, 5*h = -0*h + 10. What is the remainder when v is divided by 15?
13
Let y(m) be the first derivative of m**6/120 - 3*m**2/2 + 1. Let z(b) be the second derivative of y(b). Calculate the remainder when 22 is divided by z(2).
6
Suppose -4*z - 3*r + 115 = 0, -2*z + 3*z - 20 = r. Calculate the remainder when 74 is divided by z.
24
Suppose m + 5*z = -8, -5*m + 5*z + 1 = 11. What is the remainder when m - (1*-86)/2 is divided by 14?
12
Let w be -2*4/((-16)/(-6)). Let a(h) = -2*h - 3. Suppose -2*v - 2*v + 28 = 0. Calculate the remainder when v is divided by a(w).
1
Let y be 3 - 51/6*-2. Suppose l - y = -l. Let g = -8 + 14. What is the remainder when l is divided by g?
4
Let j = -4 + -6. What is the remainder when j/(-3) - 3/9 is divided by 2?
1
Let r(u) be the third derivative of 5/6*u**3 + 0*u + 5/24*u**4 + 0 - 3*u**2. Calculate the remainder when r(6) is divided by 12.
11
Suppose -k = -2*k + 3. Suppose 0 = -2*i + i + 3. What is the remainder when i is divided by k?
0
Let b be 2 - (-1 + 2 - 26). Suppose 4*a - 43 = -2*p + b, p = -a + 19. Calculate the remainder when (-139)/(-3) - 6/18 is divided by a.
14
Let n(t) = -2*t. Let q be n(-9). Let d = 25 - q. Calculate the remainder when 20 is divided by d.
6
What is the remainder when 103/2 - (1 - 1/2) is divided by 18?
15
Calculate the remainder when 109 is divided by 330/21 + -1 + 27/21.
13
Let i(g) = 50*g. Let c be i(1). Suppose -c = -q - 10. Suppose -j = 3*y - 0*y - 61, -5*j = -2*y + 52. Calculate the remainder when q is divided by y.
19
Suppose -93 = 10*g - 11*g. What is the remainder when g is divided by 12?
9
Suppose 3*b + 5*o - 163 = -12, -2*b + 109 = -5*o. What is the remainder when b is divided by 19?
14
Calculate the remainder when (-1111)/(-55) + (-2)/10 is divided by 7.
6
Suppose 3*r = 5*b - 2 - 9, -3*b = 4*r - 24. Suppose -p = -3*s - 3, -b*p = 5*s + 14 + 8. What is the remainder when (-4)/s + 0 + 19 is divided by 11?
10
Suppose -70 = 2*h + 180. Calculate the remainder when h/(-4) - 1/4 is divided by 16.
15
Let v be 2 + 0/(3/(-3)). Suppose 15 = f + v*f. Let k(h) = -h**3 - 5*h**2 + 4*h - 4. What is the remainder when k(-6) is divided by f?
3
Let m(p) = 22*p**3 + 1. Suppose -8*y = -379 - 349. What is the remainder when y is divided by m(1)?
22
Let d = 43 + -33. Calculate the remainder when 