w, 5*z = -3*w + 16. Let x = 299 + -296. Calculate the remainder when x is divided by z.
1
Suppose 0 = 2*h - 6*h - 36. Let x be (-211)/3 + (-3)/h. What is the remainder when x/(-4) - (-1)/(-2) is divided by 9?
8
Suppose 56 = -5*u + 16. Let j(a) = -a**2 - 9*a + 9. What is the remainder when 33 is divided by j(u)?
16
Let i = 19 - 14. Calculate the remainder when i is divided by 2.
1
Let t = 30 + -17. What is the remainder when 50 is divided by t?
11
Let d(y) = -15*y - 5. Let s be d(-3). Suppose 0 = 5*r - s - 210. Calculate the remainder when r is divided by 13.
11
Suppose -2*x = -5*b - 29, -4*x = -b + 2*b + 19. Let h = b - -22. Let m = 6 - -22. Calculate the remainder when m is divided by h.
13
Suppose -6*n + n + 65 = 0. Calculate the remainder when 64 is divided by n.
12
Let z = 46 + -14. Let i = z - 11. Calculate the remainder when i is divided by 8.
5
Suppose 81*t = 86*t - 100. What is the remainder when 26 is divided by t?
6
Let i = -55 + 154. What is the remainder when i is divided by 17?
14
Let t(x) = -1 - 1 + 6 - x. Calculate the remainder when 7 is divided by t(0).
3
Suppose 7*r = 2*r + 5. Suppose 3*m = m + 22. Let i = 12 - m. What is the remainder when i is divided by r?
0
Suppose 40 = 5*p - 110. Calculate the remainder when 57 is divided by p.
27
Let c(k) = 2*k**2 - 6*k - 6. Calculate the remainder when 39 is divided by c(-2).
11
Suppose 0*r + 3*r - 24 = 0. Calculate the remainder when 30 is divided by r.
6
Let q(g) be the first derivative of g**2/2 - 11*g + 2. Let m(t) = 4*t - 43. Let c(l) = 2*m(l) - 9*q(l). Calculate the remainder when 38 is divided by c(0).
12
Suppose 0 = -c - 0*c + 9. Let b = 86 + -31. Suppose c*x - b = 4*x. What is the remainder when 32 is divided by x?
10
Let l be -12*(-3)/(24/92). Suppose -l = -5*h - 3*a, h = -2*a + 1 + 28. Calculate the remainder when h is divided by 14.
13
Let h be 1 - -4 - (0 - -2). Let f = 1 + 30. Calculate the remainder when f is divided by 34/h + 2/(-6).
9
Let c = 8 + -4. Suppose -3*a = -c*a + 15. Suppose -3*k - k = 2*p - 16, p + k = 8. What is the remainder when a is divided by p?
7
Let r = -14 + 21. Calculate the remainder when 12 is divided by r.
5
Suppose -z - 61 = -2*m + 2*z, 5*z - 140 = -5*m. Calculate the remainder when m is divided by 10.
9
Let b(p) = 9*p - 1. Let l = -41 - -69. Let s = l - 16. Calculate the remainder when b(4) is divided by s.
11
Let g = 23 + -13. Let z(i) = i**3 - i**2 - i. Let o(a) = 2*a**3 + 3*a**2 + 2*a - 1. Let l(u) = -o(u) - z(u). Calculate the remainder when l(-2) is divided by g.
9
Suppose -6*j = -3*j - 12. Suppose -j*d + 3*d + 50 = 0. Suppose 3*p - c = 42, -c + 12 = 5*p - d. What is the remainder when 25 is divided by p?
12
Suppose 29 = 4*n + 5*u, -2*u + 6*u - 20 = 0. Let a(z) = 7*z**3 - z**2. Let o = 52 - 48. What is the remainder when a(n) is divided by o?
2
Let p = -8 - -34. What is the remainder when 49 is divided by p?
23
Let l(h) = -7*h**2 - h + 1. Let b be l(1). What is the remainder when 10 is divided by (b + 1)*1/(-2)?
1
Suppose -52 = -2*k + 4*k. Let g = k + 69. What is the remainder when g is divided by 15?
13
Suppose 0 = 4*g - 9*g + 60. Suppose 5*n + 90 = 7*n. Calculate the remainder when n is divided by g.
9
Suppose 0 = -5*o + g + 56, -3 = 4*g + 1. What is the remainder when 29 is divided by o?
7
Let u(f) = 2*f + 1. Let d be u(-11). Let i = -18 - d. What is the remainder when 9 is divided by i?
0
Calculate the remainder when (105/(-14))/(1/(-6)) is divided by 16.
13
Suppose 3*o + 13 = -f, f + 2*f = -5*o - 19. Suppose 5*y + 0*y = 5. Calculate the remainder when ((-6)/f)/(-3) + 0 is divided by y.
0
Let u = 101 - 173. Calculate the remainder when 16 is divided by ((-1)/2)/(4/u).
7
Let h = 76 + -58. What is the remainder when 88 is divided by h?
16
Let p(b) be the second derivative of b**5/20 + b**2 - b. Suppose -o - 8 = -4*d, 0 = -o + d + 1. Calculate the remainder when o is divided by p(0).
0
Suppose -7*m + 8*m = -4*k + 149, 5*k - 155 = 5*m. Suppose r + 2*r - 15 = 0. Suppose -r*i + 70 + 25 = 0. Calculate the remainder when k is divided by i.
17
Let n be 4/(-14) - (-428)/28. Let u = 3 + n. Calculate the remainder when u is divided by 7.
4
Suppose -6 = -107*a + 106*a. What is the remainder when 35 is divided by a?
5
Suppose -3*m - 421 = 230. What is the remainder when (-2)/4 + m/(-14) is divided by 6?
3
Suppose 4*q = 5*d - 1 - 9, 5*q = d + 19. Suppose -41 = -5*r - d. What is the remainder when r is divided by 3?
1
Calculate the remainder when 15 is divided by (-160)/(-24) - 4/6.
3
Let r be (-1)/((-1*4)/4). Let y = r + 10. What is the remainder when y is divided by 6?
5
Suppose 0 = 5*x + 5*n - 10, n = -x - 3*n + 17. What is the remainder when (-29)/x*(2 - -1) is divided by 10?
9
Suppose 2*l + 3*f - 45 = 0, 14 = 3*l - f - 48. Let g be -2*3/18*3. Let z = g + 12. Calculate the remainder when l is divided by z.
10
Suppose -70 = -4*x - x. Suppose -180 = -2*v - 2*v. Suppose 0*g + 4*g - 5*n - 230 = 0, -g + v = 5*n. What is the remainder when g is divided by x?
13
Suppose 0 = -2*c - 1 + 11. Calculate the remainder when 7 is divided by c.
2
What is the remainder when 19 is divided by -5*(-1)/(-2)*(-272)/85?
3
Suppose 9 = 2*b - 3*q, 12 = 2*b - q + 1. Let j(n) = -n**3 - 3*n**2 - 5*n - 4. Let g be -2*((-1)/(-2) - -1). Calculate the remainder when j(g) is divided by b.
5
Let y(t) be the third derivative of t**6/120 + 3*t**5/20 - t**4/24 - 5*t**3/3 - t**2. Let v be y(-9). What is the remainder when 26/4*(3 + v) is divided by 5?
3
Let r(m) = 2*m - 10. Let c(n) = 14*n**2 - 2*n - 1. Calculate the remainder when c(-1) is divided by r(10).
5
Suppose r - 9 = 2*w, -5*w = -0*r - 5*r + 25. Let c = 8 + w. Suppose -5*q = -2*k - 9 - 12, 4*k = -c*q. Calculate the remainder when 5 is divided by q.
2
Let u = 7 + -2. Let g(p) = 3*p**2 + 3*p - 8. Let q be g(-6). Suppose 4*a - u*s - q = 0, -3*s = 2*a + 2*a - 98. Calculate the remainder when a is divided by 12.
11
Let x = 5 - 3. Let n = -29 + 43. Let l = 21 - n. What is the remainder when l is divided by x?
1
Let d = -224 + 362. What is the remainder when d is divided by 35?
33
Suppose -3 = 3*r - 6*r, -o - 2*r + 49 = 0. What is the remainder when o is divided by 49/3 + 3/(-9)?
15
Calculate the remainder when 61 is divided by 2/(-15) + (-452)/(-15) - -3.
28
Let l = 54 - 46. What is the remainder when 20 is divided by l?
4
Suppose 2*d - 167 - 193 = 0. What is the remainder when d is divided by 31?
25
Suppose 84 + 40 = 4*y. Let h = y - 87. Let z = -21 - h. What is the remainder when z is divided by 12?
11
Suppose 0*a + 5*a + 4*l - 24 = 0, 7 = a + 3*l. Let f = a - 9. Let o = 0 - f. Calculate the remainder when o is divided by 2.
1
Let c(a) = a**3 + 18*a**2 + 16*a - 6. What is the remainder when c(-17) is divided by 7?
4
Let x(h) be the second derivative of 0 - h - 2/3*h**3 + h**2. Calculate the remainder when x(-5) is divided by 8.
6
Suppose 41 = 5*s - 3*b, -s + 21 - 4 = -5*b. Let k = s + -4. Suppose 0*y = -3*y + k. What is the remainder when 1 is divided by y?
0
Let l(k) = -k**2 + 10*k - 7. What is the remainder when 68 is divided by l(7)?
12
Let w(r) = 6 - 6*r - 3*r**2 + 2*r**2 - 4*r. Suppose -x = x - 8. Calculate the remainder when w(-10) is divided by x.
2
Calculate the remainder when (-1)/2 - 218/(-4) is divided by 14.
12
Let r = -2 + 4. What is the remainder when (-3 + 1)/(0 + 6/(-15)) is divided by r?
1
Suppose 2*z - 6*z = -36. Let m(q) = q**3 - 12*q**2 - 11*q - 1. What is the remainder when m(13) is divided by z?
7
Let f be (10/2)/(4 - 5). Let n(c) = -c + 7. Suppose -2*i - 3*d - 4 + 2 = 0, 0 = 3*i + d - 11. What is the remainder when n(f) is divided by i?
2
Suppose -4*j + 12 + 40 = 0. Let n = 10 + -5. Calculate the remainder when j is divided by n.
3
Let o = -1 - -6. Suppose 4 - 54 = -o*d. What is the remainder when ((-2)/(-5))/(3/210) is divided by d?
8
Suppose -5*g = -0*g - 15. Let o(r) = -r**3 - 7*r**2 + 2*r + 8. Let s be o(-7). What is the remainder when (2/s)/((-7)/84) is divided by g?
1
Let t(i) = -5*i + 6. What is the remainder when t(-12) is divided by 34?
32
Suppose g + 69 = 5*c, g = 3*c + 3*g - 44. Calculate the remainder when 53 is divided by c.
11
Suppose 2*r = -2*r. Let i(x) be the first derivative of -x**2/2 + 11*x - 5. What is the remainder when 20 is divided by i(r)?
9
Suppose z = 4*z - 54. Suppose 0*x + 9 