b.
13
Let d = 82 - 79. Calculate the remainder when 3 is divided by d.
0
Let p = -15 + 15. Suppose p*m = 4*m - 116. What is the remainder when m is divided by 10?
9
Suppose 5*y - 3*y + 12 = 0. Let v be (-165)/y + 2/4. Suppose -x + v = -0*x. What is the remainder when x is divided by 15?
13
Let x = 7 + -4. Let t(a) = a**3 + a**2 - 3. Let o be t(0). Let n = 9 + o. What is the remainder when n is divided by x?
0
Suppose -o = 4*t - 0*o - 17, -2*t + 4*o + 22 = 0. What is the remainder when 8 is divided by t?
3
Let i(b) = -b**3 - 12*b**2 - 14*b - 21. Calculate the remainder when 19 is divided by i(-11).
7
Suppose -11 - 1 = -4*j. Suppose -j*v + 4 = -5*s - 1, v - 5*s = 5. What is the remainder when 1 is divided by 3 + (-1 - (1 - v))?
0
Let b(c) = -c**2 - 9*c + 5. Suppose 2*r - 5*g + 34 = -0*r, -4*g + 30 = -2*r. What is the remainder when b(r) is divided by 10?
9
Suppose 2*p - 99 = -3*l, -3*p + 3*l + 143 = 2*l. What is the remainder when 141 is divided by p?
45
Let c = -54 - -75. Suppose -3 = j + 19. Calculate the remainder when c is divided by ((-2)/4)/(1/j).
10
Let n = 13 - 8. Let h be ((-4)/10)/((-1)/5). Suppose 0 = -y + h*y - 9. Calculate the remainder when y is divided by n.
4
Suppose m - 80 = -5*g, 4*g + 2*m - 73 = 3*m. What is the remainder when 33 is divided by g?
16
Let i be 2/1 + -1 - -2. Suppose i*n = n + 106. Suppose 2*h - 5*q = 11, -q + 82 = 4*h + q. What is the remainder when n is divided by h?
17
Suppose -q + 33 = -5*s, s + 0*s - 132 = -4*q. What is the remainder when q is divided by 9?
6
Let l(y) = -y**3 + 5*y**2 + y - 5. Let j be l(5). Suppose 4*f - 16 - 60 = j. Let b(u) = 3*u - 11. Calculate the remainder when f is divided by b(6).
5
Let y(x) = 0*x - 5 + 0*x**2 - x - 3*x**2. Let b(d) = 2*d**2 + d + 2. Let s(p) = 5*b(p) + 3*y(p). What is the remainder when 5 is divided by s(-4)?
2
Suppose 5*z = 5*b - 45, -1 = 2*b + 2*z - 3. What is the remainder when b is divided by 4?
1
Let p = 15 + -21. Let v(l) = l**3 - l + 2. Calculate the remainder when v(3) is divided by 2/(-6) + (-86)/p.
12
Suppose 35 = 3*f + 2. Calculate the remainder when f is divided by 6.
5
What is the remainder when 15 is divided by 0 + 1 + (1 - -8)?
5
Suppose -61 = -5*d + 4*a, -d - 3 + 0 = 3*a. Suppose d*c - 80 = 4*c. What is the remainder when c is divided by 6/(-9)*(-18)/2?
4
Suppose -w = -57 + 44. Calculate the remainder when 51 is divided by w.
12
Suppose 0*z = -4*z + 8. Let r(c) = 9*c. Let g(v) = v**3 + 6*v**2 - 8*v + 3. What is the remainder when r(z) is divided by g(-7)?
8
Suppose 0 = -3*i - 4 - 2. Let s be (-12)/(-2)*i/(-6). Suppose s*q = -j - 0 + 3, -5*q - 25 = 0. Calculate the remainder when 38 is divided by j.
12
Let n = -134 - -140. What is the remainder when 29 is divided by n?
5
Let m(z) be the first derivative of -z**2/2 + 5*z + 1. Let t be m(0). Suppose -28 - 42 = -t*j. Calculate the remainder when j is divided by 5.
4
Let u(n) = -n - 16. Let l be u(-18). Suppose -4*x - 4*f = -28, 5*x = -0*x + l*f + 56. Calculate the remainder when 19 is divided by x.
9
Suppose -17 = -r - 5*z, -3*r - r + 3*z = 1. Let l = 3 - r. Let v(j) = 22*j**3 - j**2 - j + 1. Calculate the remainder when 40 is divided by v(l).
19
Let q = 174 + -168. What is the remainder when 16 is divided by q?
4
Suppose -2*g + 0*g = -12. What is the remainder when 35 is divided by g?
5
Let j(a) = a**2 + 13*a - 7. Let t(n) = -7*n + 6. Let b(l) = -4*l + 3. Let z(u) = -11*b(u) + 6*t(u). Calculate the remainder when z(5) is divided by j(-14).
6
Let c = 15 + -9. Let n(v) = 2*v + 5. Let t be n(-3). What is the remainder when (-51)/(-3) + 1*t is divided by c?
4
Suppose 4*c = 0, 0 = 22*a - 23*a - 3*c + 25. Suppose 0 = 3*k - 3, -p + k + 7 = -1. Calculate the remainder when a is divided by p.
7
Let f = -51 + 139. What is the remainder when f is divided by 30?
28
Let b = 37 + -24. Calculate the remainder when 51 is divided by b.
12
Let o = 1 + -1. What is the remainder when (-2 - o)*2*-2 is divided by 5?
3
Let o = 5 - 1. Suppose o*a = -7*l + 2*l + 78, 2*a + 4*l = 42. Calculate the remainder when 50 is divided by a.
16
What is the remainder when (90/(-72))/(1/(-44)) is divided by 14?
13
Suppose q + q - 130 = 0. Calculate the remainder when ((-18)/15)/((-2)/q) is divided by 10.
9
Suppose 3*d + d = 48. Calculate the remainder when 44 is divided by d.
8
Suppose 0*r + 5*r = -5*t, -6 = 2*r. Calculate the remainder when t is divided by 2.
1
Let s = -382 + 410. Calculate the remainder when 1 + -2*(-53)/2 is divided by s.
26
Let w(p) be the first derivative of p**2/2 + 2*p - 1. Let d be w(-4). What is the remainder when d/(-2)*(2 - -12) is divided by 5?
4
Suppose 3*z + 2*q = -2*q - 1, -2*q - 8 = 0. Let k = 9 - z. Calculate the remainder when k/(-3)*90/(-12) is divided by 6.
4
Let c be 14/((-2 - -1) + -1). Let b(u) = u + 11. What is the remainder when 11 is divided by b(c)?
3
Suppose -5*t = -5*n + 75, -n - t = 2*n - 33. Calculate the remainder when 45 is divided by n.
9
Let c(p) = -7*p - 2. Let s = -2 - -4. Suppose -2*o + 8 = 0, -5*a - 3*o + 10 = s*o. Calculate the remainder when 23 is divided by c(a).
11
Let w(t) = 10*t - 63. Calculate the remainder when w(17) is divided by 37.
33
Suppose -5*d - 241 = -4*v, -d = 3*v + v - 211. Let a(l) = -17*l - 105. Calculate the remainder when v is divided by a(-7).
12
Suppose 2*q = 3*q - 16. What is the remainder when 60 is divided by q?
12
Let s(p) = -p**2 - 6*p + 2. Let r be -5*((-1)/(-1) + 0). What is the remainder when 13 is divided by s(r)?
6
Suppose 3*z - 329 - 97 = 3*k, 2*z = 5*k + 293. Calculate the remainder when z is divided by 28.
27
Let g = 73 - 56. Suppose -5 = 5*l - 4*a, -l + 2 - 3 = 2*a. Let d = 8 - l. What is the remainder when g is divided by d?
8
Suppose -v - 4*v + 5*r = -35, 3*r + 7 = -4*v. Suppose g = -v*g - 126. Let t = 112 + g. What is the remainder when t is divided by 18?
16
Let u(k) = -k**3 + 5*k**2 + 3*k - 7. Let i(h) = -13*h + 1. Let r = -2 + 1. What is the remainder when i(r) is divided by u(5)?
6
Let w be 12 - 0 - (-4 - -7). Suppose -3*r + w = -2*r. Calculate the remainder when 25 is divided by r.
7
Suppose 0 = -4*w - 4 + 12. What is the remainder when w is divided by 1?
0
Suppose -t - 15 = -41. Let s be ((-15)/9)/(2/6). What is the remainder when t is divided by (-72)/s + 6/(-15)?
12
Suppose -2*w = -5*w + 204. Calculate the remainder when w is divided by 23.
22
Suppose 2*u + u = 5*z - 111, 2*z = 3*u + 48. Let c be 26/(0 - 4/(-10)). Let d = -3 + c. Calculate the remainder when d is divided by z.
20
Suppose 6*u - u = 35. Suppose 0 = u*a - 2*a - n - 22, 4 = -2*n. Suppose -21 = -a*t + 7. What is the remainder when t is divided by 4?
3
Suppose 153 = 4*b + 57. Calculate the remainder when ((-22)/(-8))/(3/b) is divided by 6.
4
Suppose -5*j - 7 = 3*f, 0 = -2*f + 3*j - 5*j - 6. Let r = f + 4. Suppose 24 = -r*m + 4*m. What is the remainder when 16 is divided by m?
4
Suppose -3*g + 73 = -t - 3*t, 2*t = g - 25. What is the remainder when 89 is divided by g?
20
Let n = 30 - -20. Calculate the remainder when n is divided by 13.
11
Let b = 45 + -14. Suppose -5*k + 69 = -4*h, -4*h = -h - 12. Calculate the remainder when b is divided by k.
14
Calculate the remainder when (-2682)/(-30) + 3/5 is divided by 23.
21
Suppose -4*l + o - 12 = -2*o, -12 = 4*l + 5*o. Let j = l + 8. Suppose -2*z + 9 = -j. What is the remainder when z is divided by 4?
3
Let i be (8/(-6))/(2/6). Calculate the remainder when 48*1*(-3)/i is divided by 23 - ((-16)/(-6))/(30/45).
17
Let x(u) = -12*u + 37. Calculate the remainder when x(-12) is divided by 46.
43
Let g(r) = 15*r**3 - r. Calculate the remainder when 54 is divided by g(1).
12
Let c(o) = o + 1. Suppose -4*u = u - 25. Calculate the remainder when c(u) is divided by 4.
2
Let x = 9 - -3. Suppose -i = k - 50, 2*k - 6*i - 72 = -i. What is the remainder when k is divided by x?
10
Suppose -5*f = 5*f - 370. What is the remainder when 145 is divided by f?
34
Suppose j - 3 + 1 = 0. Calculate the remainder when ((-1938)/(-85))/(j/5) is divided by 29.
28
What is the remainder when 51 is divided by (0 + -1)/(20/(-220))?
7
Let k = 20 + -17. Suppose -k*b = -22 - 14. What is the remainder when 22 is divided by b?
10
Let g(n) = n**3 - 3*n**2 + n + 3. Suppose 45 = -3*l + 3. Let w = 29 + l. What is the remainder when w is divided by g(3)?
3
Suppose g - 32 = 