 = -3, -5*h + 18 = -2*n. Suppose 19 - 1 = 3*b. What is the remainder when b is divided by h?
2
Suppose -10*s + 414 = -s. What is the remainder when 137 is divided by s?
45
Suppose -3*i + 4*o + 24 = 0, i - o - 15 = -2*o. Calculate the remainder when i is divided by 2.
0
Let b be (-1)/(-1*3/9). Suppose 0 = 4*d - b*m - 39 + 2, -m + 41 = 4*d. What is the remainder when 19 is divided by d?
9
Suppose -2*i - 8 - 8 = 5*u, 4*u = 3*i + 1. Calculate the remainder when 33 is divided by (-4 + (-6)/u)*-18.
15
Let w(b) be the third derivative of b**6/120 + b**5/15 - b**4/4 + b**3/6 - 4*b**2. Calculate the remainder when -1*(-10 + 0) - 0 is divided by w(-5).
4
Let m(j) = -2*j + 1. Let x be m(1). Let g(z) = -4*z. Suppose -30 = 3*r - 8*r. What is the remainder when r is divided by g(x)?
2
Suppose 0*j - 68 = -2*j. What is the remainder when j is divided by 9?
7
Let o(w) be the first derivative of -w**4/4 + 5*w**3/3 + 9*w**2/2 - 4*w - 3. Calculate the remainder when 41 is divided by o(6).
13
Suppose 13 = k - 3*i, 33 = -0*k + 5*k + i. What is the remainder when 62 is divided by k?
6
Let h(u) = -u**3 + 3*u**2 + 4. Let x = 4 - 1. Let w be h(x). Suppose -3*y = -w*y + 41. Calculate the remainder when y is divided by 11.
8
Let q(w) = -w**2 - 8*w + 4. Let t be q(-7). Let u = t - 6. Suppose -i - 32 = -u*i. What is the remainder when 15 is divided by i?
7
Suppose 5*k - 23 = -2*q + 27, -4*q = 5*k - 110. Suppose -3*w = 2*w - 2*p - 50, 3*w + 2*p - q = 0. Calculate the remainder when 29 is divided by w.
9
Suppose -5*s = -s + 4*g + 16, 5*g + 20 = s. Suppose -3*n - 5*c + 38 = 0, 2*c + s = n + 2. What is the remainder when 17 is divided by n?
5
Suppose h + 2*r = 4*r + 7, 5*h + 4*r = 35. What is the remainder when 12 is divided by h?
5
Let n(g) = g + 5. Let x be n(-5). Suppose -b = -x*b. Let k = 8 + b. What is the remainder when k is divided by 3?
2
Let c(b) = -8*b**2 + 2. Let v be c(2). Calculate the remainder when (v/20)/((-1)/10) is divided by 8.
7
Let m(r) = -2 + 0*r**2 + 16 + 5*r + r**2. Let x be m(-10). Suppose 5*p + 24 = x. Calculate the remainder when 15 is divided by p.
7
Let p(b) = -b**2 + 6*b - 4. Let u be p(4). Suppose 2*q - j - 14 = -0*q, -q + u*j = -7. Calculate the remainder when 25 is divided by q.
4
Let u be ((-123)/(-12))/((-1)/(-4)). Let b = u - 7. What is the remainder when b is divided by 9?
7
Suppose 0 = 9*u + 54 - 693. What is the remainder when u is divided by 8?
7
Suppose -3*d - 131 = -6*d - 4*m, -4*d + 2*m = -138. Calculate the remainder when d is divided by 10.
7
Let s(x) = x**3 - x**2 + 3*x - 1. Calculate the remainder when 19 - (-5)/(10/(-6)) is divided by s(2).
7
Let v(s) = -2*s**2 - 14*s - 15. What is the remainder when 17 is divided by v(-5)?
2
Let f(k) = -k**3 + 4*k**2 + 6*k + 2. Let v be f(5). Let m = 1 + v. Suppose -12 = -2*b + m. Calculate the remainder when b is divided by 4.
2
Let w = -10 - -14. What is the remainder when 8 is divided by w?
0
Suppose 1260 = 6*x - 156. What is the remainder when x is divided by 34?
32
Suppose 0*c - c + 9 = 0. Let y be 6/c - 104/3. Let a = -17 - y. What is the remainder when 33 is divided by a?
16
Let x = 5 + 1. Suppose -2*m - x = -5*m. Calculate the remainder when 2 is divided by m.
0
Suppose -21 = -0*y - 3*y - 4*r, 7 = y + 3*r. Let w(q) = q**3 - 4*q**2 - 2*q + 5. Let t be w(4). What is the remainder when (2/(-6))/(t/171) is divided by y?
5
Let a be (-1*1)/(1/(-6)). Suppose -u + 30 = 4*u - 3*w, 12 = 2*u - w. Let d = u + a. What is the remainder when d is divided by 7?
5
Let j = 55 + -27. Suppose 3*c = 0, -4*d = 3*c + 2*c. Calculate the remainder when j is divided by d/(6/(-2)) + 15.
13
Let v(k) = -k**2 + 5*k + 1. Let z be v(6). Let h(s) = -s + 4. What is the remainder when h(z) is divided by 3?
0
Let g(x) = 8*x**2 + x. Suppose 4*n + 5 = 1. Calculate the remainder when g(n) is divided by 4.
3
Suppose -2*g = -g - 14. Suppose 2*q - 6 = -q. Suppose -3*j = 4*f + j - 16, 8 = -q*j. What is the remainder when g is divided by f?
6
Let l = 167 - 144. What is the remainder when l is divided by 18?
5
Let z = -61 + 64. Suppose a + 2*u - 6 = 1, 2*u = a - 7. What is the remainder when a is divided by z?
1
Let r(w) = -w + 14. Calculate the remainder when 23 is divided by r(7).
2
Let v = -24 + 42. What is the remainder when 52 is divided by v?
16
Let y be ((-2)/3)/((-6)/(-963)). Let c = y + 150. What is the remainder when c is divided by 15?
13
Suppose 3 = 4*r - 2*i - 3, 5*i = -4*r + 13. Suppose -3*d + r*j + 12 = -25, 0 = 4*j + 8. What is the remainder when d is divided by 4?
3
Let d = -11 - 82. Let p = d - -133. Suppose -t = -6*t + 70. What is the remainder when p is divided by t?
12
Let c = -18 - -42. Let z(n) be the second derivative of -n**3/6 + 13*n**2/2 - n. What is the remainder when c is divided by z(0)?
11
Let u(l) = l - 11. Let n be u(4). Let g(c) = c**3 + 8*c**2 - c + 10. Calculate the remainder when g(n) is divided by 17.
15
Let q(p) = 10*p**2 - p. Suppose 0 = -2*y + 40. Let v be (-32)/y - (-6)/10. Calculate the remainder when 20 is divided by q(v).
9
Let f = 55 - 39. Let l = 2 + 4. Calculate the remainder when f is divided by l.
4
Suppose -2*f + 24 + 4 = 0. Calculate the remainder when f is divided by 4.
2
Suppose 2*u + 3*t - 2 = 0, 3*u + 4*t - 7 = -3. What is the remainder when 14 is divided by u?
2
Let m = 49 + 64. What is the remainder when m is divided by 29?
26
Suppose 0 = 5*l - 2*l. Suppose -5*i + 3*f + 73 = l, -3*f = -i - 0*i + 17. What is the remainder when 41 is divided by i?
13
Suppose 3*p - 2 = 4. Suppose 2*r = -n + p*n + 17, -2*n = 5*r - 20. Let s(v) = -v**2 - 14*v - 31. Calculate the remainder when s(-6) is divided by r.
5
Calculate the remainder when 62 is divided by (0 + -3)/((-6)/32).
14
Suppose 0 = 3*c - 3*s - 174, -3*c - 4*s + 150 = -s. Calculate the remainder when c is divided by 19.
16
Suppose 0 = 5*z + 5*l + 31 + 4, 5*l + 26 = -4*z. Calculate the remainder when (-1)/(3/z) + 60 is divided by 16.
15
Let g(q) = -6*q + 2. Let x be g(-2). Suppose 16*t = 12*t - 24. Let d = x - t. What is the remainder when d is divided by 7?
6
Let f be -8*(-1 + (-3)/(-6)). Suppose -4*t - 2*x = -38, -33 + 4 = -f*t + x. What is the remainder when 14 is divided by t?
6
Let l = 164 + -100. Calculate the remainder when l is divided by 6.
4
Suppose 0 = 3*b + 2*b - f - 215, -b + 5*f + 67 = 0. What is the remainder when b is divided by 5/(15/(-6)) + 17?
12
Suppose -45 = -2*v + g, -v = -0*v - 3*g - 25. Let t = 1 + -1. Suppose t*f = -f - 2*x + 8, 0 = -4*f + x + 50. What is the remainder when v is divided by f?
10
Let l(f) = f**2 + 7 - 7*f - 3*f**2 + f**2. Suppose 0 = -2*i - 4 - 10. Calculate the remainder when 12 is divided by l(i).
5
Suppose -95 = 5*k + 2*d, -2*k = -2*d - 2*d + 14. Let y = -12 - k. What is the remainder when 13 is divided by y?
3
Let p(f) = 4*f + 64. Calculate the remainder when p(18) is divided by 28.
24
Suppose 0 = 5*y - y - 24. Let t(l) = l - 2. Let n(g) = -2*g. What is the remainder when t(y) is divided by n(-1)?
0
Let a(k) = -10*k - 5. Let s be a(-4). Suppose d = -3*x + s, -2*d + d + 2 = 0. Calculate the remainder when 19 is divided by x.
8
Let b = 12 + -9. Suppose 0 = -i + 3*r + 14, b*i + 13 = 4*i - 2*r. What is the remainder when 31 is divided by i?
9
Let q(o) = 7*o - 4. Let f be q(3). Suppose 152 = 5*r + 17. Let k = r - f. What is the remainder when 29 is divided by k?
9
Suppose -6*k + k + 70 = 0. Let s(i) = -2*i - 8. Let l be s(-7). Let y = l + -1. What is the remainder when k is divided by y?
4
Let w(q) = q**2 + 7*q - 17. Calculate the remainder when w(3) is divided by 7.
6
Let h = 34 + -75. Let y = h + 61. Calculate the remainder when y is divided by 11.
9
Let u be 5*-7 + (2 - 1). Let b be (-3 - 54) + (5 - 4). Let q = u - b. Calculate the remainder when 42 is divided by q.
20
Suppose 0 = -3*i + 97 - 28. Calculate the remainder when (i/2)/((-2)/(-4)) is divided by 12.
11
Let b(f) = 2*f + 3. Suppose 0 = -3*x - 9, 0 = 3*z + x - 26 - 1. What is the remainder when b(13) is divided by z?
9
Let n = 46 - 19. Calculate the remainder when n is divided by 10.
7
Let z = -112 - -138. Suppose -5*f = 4*p - 404, -2*p + 5*f + 202 = 2*f. What is the remainder when p is divided by z?
23
Let y = -6 - -10. Suppose y = u - 5. Suppose -2*j + 75 = j. Calculate the remainder when j is divided by u.
7
What is the rema