. What is the remainder when 11 is divided by q?
3
Let g = 0 + 9. Suppose 1 + g = i. Let c(a) = -a**2 + a + 4. Calculate the remainder when i is divided by c(0).
2
What is the remainder when 31 is divided by 6/9 - 93/(-9)?
9
Let i(a) = 2*a + 14. Let z be i(-6). What is the remainder when z*-1*(-78)/12 is divided by 8?
5
Let w = 4 + -5. Let z be w - -2 - (-1 - -2). Suppose z = 2*d - 7*d + 65. Calculate the remainder when d is divided by 7.
6
Suppose -4*a - 2*u + 100 = 0, -a + u + 20 = 1. What is the remainder when 42 is divided by a?
19
Let y(j) = -j - 4. Calculate the remainder when 29 is divided by y(-14).
9
Suppose 4*v - 2*g - 8 = -6*g, g = -3*v + 2. Suppose v*j - j = -24. Calculate the remainder when 71 is divided by j.
23
Let q = -1 - -7. Let u = -34 + 32. Let m = u + q. What is the remainder when 6 is divided by m?
2
Suppose 17*c - 171 = 14*c. What is the remainder when c is divided by 15?
12
Let s(n) = -10*n - 9. Let g be s(-2). Suppose -3*b - 21 = -4*b. Let u = b - g. Calculate the remainder when u is divided by 6.
4
Let z(k) = -4*k - 13. Let v = 183 - 120. Suppose -4*t + t + v = 0. What is the remainder when t is divided by z(-6)?
10
Suppose -22 + 0 = -3*u + a, -5*a = -2*u + 19. Let g(k) = k + 19. What is the remainder when g(-8) is divided by u?
4
Suppose 3*r = r + 52. Calculate the remainder when 0/(1 + -3 + 0) - -51 is divided by r.
25
Let y = 92 - 58. Let c(j) = j**3 - 26*j**2 - j + 44. What is the remainder when y is divided by c(26)?
16
Let p(c) = -c**3 + 6*c**2 - c - 9. What is the remainder when 88 is divided by p(4)?
12
Suppose 3*x = 2*x - 3*c + 44, 2*c = 5*x - 152. Let h = x - 1. Let a = -12 + h. Calculate the remainder when a is divided by 10.
9
Let l = -5 - -1. What is the remainder when 4/(-6)*114/l is divided by 5?
4
Let j = 1 - -32. What is the remainder when (-22)/j*366/(-4) is divided by 21?
19
Let x = -158 + 193. Calculate the remainder when 137 is divided by x.
32
Let y be (-4)/(-8) - 3/(-2). Suppose -y*p + 5*d = -90 + 19, 0 = 2*d + 10. What is the remainder when p is divided by 8?
7
Suppose -20 = 4*o, w + 2*w - 3*o = 27. Let r = 1 + 9. What is the remainder when r is divided by w?
2
Suppose 0 = -3*v - z + 64, 4*z = -v - v + 56. Suppose 5*g - 52 - 3 = 0. Calculate the remainder when v is divided by g.
9
Let u = 3 + 20. Let h be 9 - (0 + -1 + 4). Suppose -4*d + 38 - h = 0. Calculate the remainder when u is divided by d.
7
Let k(p) = -p**3 + 20*p**2 + 5*p - 9. Calculate the remainder when k(20) is divided by 31.
29
Suppose -5*j + 5 = 10, 328 = -3*c + 5*j. Calculate the remainder when c/(-3) + -3 - 3 is divided by 8.
7
Let o = -95 - -101. What is the remainder when 11 is divided by o?
5
Suppose -2*j - 2*n + 78 = 6, -4*j = 2*n - 142. Calculate the remainder when 138 is divided by j.
33
Let i = 32 + -21. Let o = 8 - 0. Let f = o + -2. What is the remainder when i is divided by f?
5
Suppose -4*n - 5*h + 233 = -45, h + 2 = 0. What is the remainder when n is divided by 20?
12
Let f(k) = k**2 - 5*k + 4. Let o be f(4). Let q = o - -8. What is the remainder when 23 is divided by q?
7
Calculate the remainder when -3 + 8 + 3*69 is divided by 12.
8
Suppose -3*w + 1 = q - 0*q, 0 = q - 5*w - 17. Suppose -d = -2*d + q. What is the remainder when 25 is divided by d?
4
Suppose 0 = i - 4*o - 24, 5*i - 3 = -o + 12. Let m(v) = v**3 - v**2 + 0*v**2 - v + 7 + v**2. What is the remainder when m(0) is divided by i?
3
Let k be (-294)/(-35) + (-2)/5. Suppose -2*d + k = 2*b, 3*d = 3*b - 46 + 10. Let a(i) = -2*i - 9. What is the remainder when b is divided by a(-6)?
2
Let o(s) = s**2 + 4*s - 40. What is the remainder when 109 is divided by o(-12)?
53
Suppose -3*n - 240 = -3*x, -2*n + 326 = 7*x - 3*x. What is the remainder when x is divided by 17?
13
Let v(a) = 2*a + 22. Calculate the remainder when 6 is divided by v(-10).
0
Let b = 0 + 0. Suppose -3*x = -8 - 13. What is the remainder when x + 2 + -4 + b is divided by 2?
1
Suppose -3*p = -70 + 4. What is the remainder when 36 is divided by p?
14
Let v be 2/7 - 4/14. Suppose -4*p - 28 = -2*l, -3*l + 38 = -v*p - 4*p. Let s = -287 + 325. Calculate the remainder when s is divided by l.
8
Let m(k) = -k**2 - 9*k - 8. Let y be m(-6). Let f(r) = r + 5. Calculate the remainder when 42 is divided by f(y).
12
Calculate the remainder when (-136)/170 - 9/5*-41 is divided by 25.
23
Suppose o - m = -0*m + 4, 70 = 5*o + 5*m. Calculate the remainder when 62 is divided by o.
8
Suppose -28 = -4*z + 2*n, 0*z + n = 3*z - 23. Let q = z - -2. Calculate the remainder when 31 is divided by q.
9
Suppose -7 + 62 = 5*g. Suppose t + 1 = g. Let f = 18 - t. Calculate the remainder when 15 is divided by f.
7
Let s(j) = j**2 + j + 2. Let n be s(-2). What is the remainder when ((-2)/n - 0)*-16 is divided by 3?
2
Suppose -4*f = -21 + 5. Calculate the remainder when 5 is divided by f.
1
Let j(m) = m**3 - 18*m**2 - m + 25. Suppose 0 = -4*r - 4*o + 33 + 19, -3*o + 7 = r. Suppose -2*s - r = -6*s. Calculate the remainder when j(18) is divided by s.
3
Let d(b) = 6*b + 1. Suppose 3*w - 22 = 2*i, i + 2*i + w + 11 = 0. Let p(u) = u**2 + 4*u + 5. Calculate the remainder when d(3) is divided by p(i).
9
Let r be (201/(-6))/((-1)/2). Let q = r + -27. Suppose 2*h = 5*h - 42. Calculate the remainder when q is divided by h.
12
Let t be (-1)/(-2) - 49/(-14). Suppose -t*f = -h + 30, 5*h - 4*f = 6*h - 38. Calculate the remainder when h is divided by 9.
7
Let x = -16 - 7. Let i = 14 - x. Suppose h = 4*h - 39. Calculate the remainder when i is divided by h.
11
Let i = 85 - 52. Let v = -8 + 25. Calculate the remainder when i is divided by v.
16
Let p = -46 + 92. Suppose 2*l = 3*y - 38, -y - 5*l + 43 = 3*y. Suppose d - 2*d + y = 0. Calculate the remainder when p is divided by d.
10
Let m be -3 - -1 - (0 + -2). Suppose m*x - 5*x = -50. Calculate the remainder when x is divided by 4.
2
Let a(h) be the third derivative of h**5/60 + h**4/12 + h**3/2 - 3*h**2. What is the remainder when a(-3) is divided by 4?
2
Suppose -m - 1 + 8 = 0. Let y(u) = u - 4. Let v be y(6). Suppose 2*z - 2 = -v*g, 4*z + 2 = 5*g - 30. What is the remainder when m is divided by g?
3
Let q(t) = -26*t + 1. What is the remainder when q(-6) is divided by 32?
29
Suppose 25 = 2*o + 4*g - 3*g, 0 = 5*o - 2*g - 76. Calculate the remainder when 83 is divided by o.
13
Suppose 14 = -9*t + 2*t. Calculate the remainder when 13 is divided by (-2)/t + (11 - 5).
6
Let f(w) = 3 - 5*w**3 - w + 33*w**2 + 4*w**3 - 35*w**2. Suppose -5*x - 1 = 14. What is the remainder when 28 is divided by f(x)?
13
Let i(w) = -w**3 - 9*w**2 + 8*w - 3. Let m = -20 + 85. Calculate the remainder when m is divided by i(-10).
14
Let i = 38 + 19. Calculate the remainder when i is divided by 20.
17
Let c(t) = -t**3 - 9*t**2 - 7*t - 1. Let h be c(-8). Let y(b) = -4*b - 12. Calculate the remainder when y(h) is divided by 14.
10
Let w be (-1 + 0)*414/(-9). Suppose 6*i - 3*i = 12. Suppose i*t = 58 + w. Calculate the remainder when t is divided by 14.
12
Let s = -118 - -166. What is the remainder when s is divided by 17?
14
Let y = -13 + 21. What is the remainder when 13 is divided by y?
5
Let u(v) = 5*v - 3. Let a = 8 + -14. Let r = a - -21. Calculate the remainder when u(6) is divided by r.
12
Let t = 74 + -45. What is the remainder when 84 is divided by t?
26
Let s(k) = -7*k**3 - 2*k - 2. Let w(j) = 2*j**2 - 2*j - 4. Calculate the remainder when s(-2) is divided by w(-3).
18
Let d(g) = -2*g + 1. What is the remainder when 50 is divided by d(-6)?
11
Let h(i) = i**2 + 10*i - 20. What is the remainder when h(7) is divided by 25?
24
Let i = -23 + 9. What is the remainder when 46 is divided by ((-24)/i)/((-1)/(-14))?
22
Let b = -39 + 43. Let k(z) be the first derivative of z**3 + z**2/2 + 2*z - 2. Calculate the remainder when k(b) is divided by 14.
12
Let d be 1 + 1*(-14)/2. Suppose x - 5*g = 3*x + 45, -x + 4*g - 3 = 0. What is the remainder when (-99)/x - d/15 is divided by 3?
1
Suppose 0 = -3*u - 3*z + 57, -4*u + 2*z + 76 = -0*z. Calculate the remainder when 35 is divided by u.
16
Let w(z) = -3*z + 8. Suppose q = 4*q + 24. What is the remainder when w(q) is divided by 17?
15
Let m be (-5)/3*(1 - 4). Let i(w) = 5*w + 4. Let f be i(m). Suppose 3*o - 37 - f = 0. What is the remainder when o is divided by 12?
10
Let v be 92/(-8)*2*-1