270)/12. Suppose -n + 59 = 2*u. Calculate the remainder when ((-6)/(-5))/(u/60) is divided by 3.
1
Suppose i - 68 = -3*i. Suppose 2*y = 3*q - 2, -4*q + 1 = 3*y - 13. Calculate the remainder when i is divided by (0 + 1 - q) + 7.
5
Suppose 5*q - 72 = -8*l + 10*l, -q + 8 = -2*l. Let a(g) = -g**2 - 10*g + 3. Calculate the remainder when a(-5) is divided by q.
12
Let a(l) be the first derivative of 6*l + 1/3*l**3 + 1 + 3*l**2. What is the remainder when 25 is divided by a(-7)?
12
Let o(d) = -d**2 + 12*d + 20. Calculate the remainder when 84 is divided by o(12).
4
Suppose -m + 182 = 4*j + m, 2*j - 85 = m. Calculate the remainder when j is divided by 15.
14
Let b = -6 + 9. What is the remainder when b is divided by 3?
0
Let b(z) = 12*z**2 - z + 20. Calculate the remainder when 59 is divided by b(0).
19
Suppose -2*z + 3 = -z. Suppose i = -3*y - 6 - z, y - 13 = -3*i. What is the remainder when i is divided by 4?
2
Let b(c) = 4 - 3*c**2 - 1 - 5*c - 5 + 5*c**2. Suppose -3*g - 3*s = g - 13, 15 = 3*g - 3*s. What is the remainder when b(g) is divided by 6?
4
Suppose 4*h = -6 + 14. Suppose h*b = 2*v - 22, 2*b - 27 = -5*v - 0*b. What is the remainder when 19 is divided by v?
5
Let n = -3 + 19. Let q(f) = -f**2 + 11*f + 1. What is the remainder when q(6) is divided by n?
15
What is the remainder when -35*(4 + 52/(-10)) is divided by 11?
9
Calculate the remainder when ((-50)/15 + -1)*-3 is divided by 9.
4
Calculate the remainder when 36 is divided by 1539/76 - (1 + (-14)/8).
15
Suppose 2*q + 17 = 3*q. Suppose 2*s - 144 = -2*s. Suppose 2*g = 6*g - s. Calculate the remainder when q is divided by g.
8
Let y(r) = -r + 7. Let j(d) = 1 + 0*d**3 - d**3 - d - 3*d**2 + 4*d**2 - 5*d**2. What is the remainder when y(-6) is divided by j(-4)?
3
Let l be (-6)/(-3) + -2 - -22. Calculate the remainder when 4*1/(8/l) is divided by 4.
3
Let x(d) = d + 31. Let n be (-3 + 2)*(0 + 0). Calculate the remainder when x(n) is divided by 7 - ((-10)/8 + (-13)/(-52)).
7
Let s = 5 + -4. What is the remainder when 60 is divided by (-13 - s)/(22/(-33))?
18
Let c(x) = 57*x**2 + x - 1. Calculate the remainder when c(1) is divided by 5.
2
What is the remainder when 6/14 - ((-5165)/35 + -4) is divided by 22?
20
Let s be (-4)/2 + (-13)/1. Let n = -9 - s. What is the remainder when n is divided by 4?
2
Suppose -5*m - 3 = -2*m. Let c(q) = -42*q**3 - 2*q**2 - q. Calculate the remainder when c(m) is divided by 14.
13
Let v(p) = -3*p - 1. Let q(r) = 3*r. Let w(f) = 3*q(f) + 4*v(f). Calculate the remainder when w(-3) is divided by 3.
2
Let a = -15 - -20. Calculate the remainder when 15 is divided by a.
0
Let z(l) = l - 3. Let y be z(-4). Let d = y - -13. Let f(o) = o**3 - 6*o**2 + 2*o - 2. Calculate the remainder when f(d) is divided by 4.
2
Suppose -3*c + 6 + 3 = 0. Suppose -21 = -5*a - q, 4*a = -q - 3*q + 20. What is the remainder when c/2*(-44)/(-6) is divided by a?
3
Let w(y) = y - 3. What is the remainder when 30 is divided by w(8)?
0
Let m(y) = 9*y**3 + y**2 + y - 1. Let n(i) = 2*i - 1. Let l(t) = -t + 1. Let b(z) = -2*l(z) - 2*n(z). Calculate the remainder when m(1) is divided by b(-2).
2
Let y = -18 - -46. Let j(o) = -o**3 + 6*o**2 + 2*o + 3. Suppose 2*v + 2 = 14. What is the remainder when y is divided by j(v)?
13
Let l(h) = 13 - 9*h + 5*h**2 - 4*h**2 - 7*h. Calculate the remainder when -7*(2 - 100/14) is divided by l(16).
10
Suppose 0 = 6*o + 2*o - 264. What is the remainder when o is divided by 17?
16
Suppose 4*s + 30 = 6*s. Calculate the remainder when 134 is divided by s.
14
Let v = 39 + -26. Let j = 44 + -31. Suppose -25 = -l + j. Calculate the remainder when l is divided by v.
12
Calculate the remainder when 67 is divided by (-2 - -1) + 1*15.
11
Let d be ((-10)/6 + 2)*75. Suppose 4*k - d = -h, -k - 2*h + 4 = -h. Calculate the remainder when 13 is divided by k.
6
Let b(o) = -o - 1 - 4*o**2 - 2 + 5*o**2 - 4. What is the remainder when b(-5) is divided by 12?
11
Let c = 12 - 8. Suppose 3*t - 4*b = 89, -2*b = c*t - 6*b - 116. What is the remainder when t is divided by 15?
12
Let f = 31 + -23. What is the remainder when 46 is divided by f?
6
Suppose 5*a + 4*v + 4 = -6, 0 = -2*a + 3*v - 4. Let z = -1 - -10. Calculate the remainder when 2 + 12 + a/(-1) is divided by z.
7
Suppose 27 = 3*w - 4*h, 5*w - 4*h = 3*w + 22. Suppose -6*i = -w*i - 4. Calculate the remainder when 10 is divided by i.
2
Suppose 12 = 3*q - 4*d, -4*q + 7*q + 3 = -d. Let v = 4 - q. Suppose -s + v*s = 60. Calculate the remainder when 58 is divided by s.
18
Suppose 0 = -3*x + 2*x - 20. Let a = 15 - x. Calculate the remainder when a is divided by 18.
17
Let p = 17 + -15. Let m = 14 + p. What is the remainder when 62 is divided by m?
14
Let z = -28 + 39. Calculate the remainder when 31 is divided by z.
9
Suppose -84 = -5*o - 19. Calculate the remainder when 25 is divided by o.
12
Let i = -33 - -9. Let k(w) = 11*w + 1. Calculate the remainder when k(3) is divided by i/30*5*-3.
10
Suppose 0 = -k - 4*j + 28, k - 3*j + 5 = 19. Calculate the remainder when k is divided by 5.
0
Let h = 8 - -22. Let t = h + 1. Let y = 43 - t. What is the remainder when y is divided by 7?
5
Let j = -12 - -17. Let q(d) = -3*d + 4. Let i be q(-4). Let f = i + -2. Calculate the remainder when f is divided by j.
4
Suppose b = 2 + 1. Suppose 0 = -b*s - 9 - 36. Let g = 32 + s. Calculate the remainder when g is divided by 6.
5
Let s(u) = u**3 + 6*u**2 + 6*u + 4. Let n be s(-5). Let h = n + 11. Calculate the remainder when 19 is divided by h.
9
Suppose -3*v - 13 = -40. Calculate the remainder when -2 - (-114)/v*3 is divided by 13.
10
Suppose -6*f + 3*f + 3 = 0. Let y be f/(-3) - 7/(-3). Suppose -s - y = -35. Calculate the remainder when s is divided by 17.
16
Let w(m) = 5*m - 1. Let u(i) = i**3 + 10*i**2 + 2*i + 51. Calculate the remainder when u(-9) is divided by w(6).
27
Let t be 90/3*2/4. What is the remainder when 4 is divided by (6/(-10))/((-3)/t)?
1
Suppose -5*c - 21 - 9 = 2*n, 4*n = -c - 78. What is the remainder when (-2)/(-5) + (-1772)/n is divided by 23?
20
Let w(g) = g**3 + g**2 - 3*g + 2. Let j(r) = -r**2 - 8*r - 9. Let l be j(-6). What is the remainder when w(l) is divided by 10?
9
Suppose 29 = 4*t - d, -31 = -5*t - 0*t - 4*d. Suppose 92 = 5*o - 2*k, 2*o - 6*k + k - 20 = 0. Calculate the remainder when o is divided by t.
6
Suppose 2*d = -2*d + 68. Suppose -4*i - 259 = -15. Let v = 110 + i. What is the remainder when v is divided by d?
15
Let y = 24 - -2. Let r(i) = i**3 - 2*i**2 - 2*i + 4. What is the remainder when y is divided by r(3)?
5
Let j(b) = -b**2 + 6*b + 32. Let p(a) = -45*a + 1. Calculate the remainder when p(-1) is divided by j(8).
14
Let j(m) = 2*m - 18. Let s(q) = -q**3 - 3*q**2 - 3*q. What is the remainder when s(-4) is divided by j(12)?
4
Let z(m) = 24*m - 1. Let p = 7 - 6. What is the remainder when z(p) is divided by 12?
11
Suppose q + 5*a + 21 - 56 = 0, -26 = -2*q + a. What is the remainder when 28 is divided by q?
13
Let u = -62 + 93. Suppose -4*g - u = 3*a, 3*a + 20 = -g - 17. Let z = a - -32. Calculate the remainder when z is divided by 10.
9
Let n = 27 - 22. Calculate the remainder when 19 is divided by n.
4
Let b(h) = h**2 - 5*h - 15. What is the remainder when 13 is divided by b(-3)?
4
Let a = 3 + 0. Suppose -a*s = -2*s - 9. Let n = 8 - 5. Calculate the remainder when s is divided by n.
0
Let n = 1 + 3. Let h(c) = -3 + 2*c + c**2 - 1 - c. What is the remainder when h(n) is divided by 6?
4
Let n(p) = p**2 - p - 4. What is the remainder when 1/(0 - 3/(-138)) is divided by n(-4)?
14
Let b = -98 + 110. Calculate the remainder when 55 is divided by b.
7
Let l = 155 + -67. Suppose -2*i = 86 + l. Let q = i + 122. Calculate the remainder when q is divided by 12.
11
Suppose -16 = -3*o + 107. What is the remainder when o is divided by 22?
19
Suppose 0*j - 3*j + 183 = 0. What is the remainder when j is divided by 16?
13
Calculate the remainder when (1 - 3) + 16*4 is divided by 22.
18
Let n = 113 + -65. Calculate the remainder when n is divided by 10.
8
Suppose 24*n - 17 = 247. What is the remainder when 22 + (-1)/(1 + 0) is divided by n?
10
Let n be (2/6)/((-11)/(-231)). Suppose 3*q - 35 = -y, -4*q = -5*y + n + 92. Calculate the remainder when y is divided by 12.
11
Suppose 8*d = 6*d. Suppose 2*p + d = 4. What is the remainder when 