
3
Calculate the remainder when (-1 + (-66)/24)*-60 is divided by 12.
9
Let w = 17 - 14. Suppose -5*b - 7 + 22 = r, w*r - 45 = 4*b. Calculate the remainder when 27 is divided by r.
12
Let i be ((-12)/(-18))/(4/18). Suppose -116 - 4 = -i*c. What is the remainder when c is divided by 14?
12
Let b(i) = i**2 + 5*i - 7. What is the remainder when b(-8) is divided by (1 - 2) + -1 + 8?
5
Let p(v) = 7*v - 9. What is the remainder when 37 is divided by p(4)?
18
Let v(g) = g**3 - 4*g**2 + 4*g - 4. Let h be v(3). Let z = h + 10. What is the remainder when 11 is divided by -4 + z + (0 - -1)?
5
Suppose 26*c - 2332 = 4*c. What is the remainder when c is divided by 9?
7
Let j(k) be the first derivative of k**2 - 2*k - 2. Calculate the remainder when 29 is divided by j(5).
5
Suppose 2*i - 136 = -4*q - i, -4*i + 169 = 5*q. What is the remainder when 221 is divided by q?
36
Let g(y) = -11*y - 2. What is the remainder when 17 is divided by g(-1)?
8
Let i(b) = 3*b - 4. Suppose 3*k + 4*y = 44, 3*k = -2*y + 14 + 20. Calculate the remainder when i(11) is divided by k.
5
Let q be (0 - 2)*1 + 6. Let l be 6/q + (-6)/(-4). Suppose -l*r + 5*z + 22 = 0, -5*r - 4*z + 5*z = -44. What is the remainder when 17 is divided by r?
8
Suppose -2 = 3*c - 23. Let g = c - 4. Let w(y) = 2*y**3. Calculate the remainder when g is divided by w(1).
1
Let f = 7 + -2. Let s = 17 - 9. Calculate the remainder when s is divided by 28/f + (-3)/5.
3
What is the remainder when 5/(-1*3/(-33)) is divided by 20?
15
Let s(m) = -6*m**3 + m**2 + m - 2. Let o be s(-2). Let y = 38 - 16. What is the remainder when y is divided by (o/(-28))/(4/(-14))?
4
Let a(p) = 7*p**2 + 5*p - 4. Let q be a(-4). Let n = q + -50. What is the remainder when n is divided by 13?
12
Suppose 3 = -2*x + 3*x. Suppose -x*v + 20 = 5. Calculate the remainder when ((-4)/6)/(8/(-156)) is divided by v.
3
Let c = -16 - -26. Suppose -3*j = -2 - 1, 5*f = -2*j + 142. What is the remainder when f is divided by c?
8
Let u = -40 - -58. Suppose 0 = -2*d - u + 82. What is the remainder when d is divided by 11?
10
Suppose 30 = 4*i - 78. What is the remainder when i is divided by 21*(-8)/(-12) + -4?
7
Calculate the remainder when 20 is divided by (14 - 1) + -13 + 11.
9
Let m(f) = 2*f + 25. Let g(p) = -p - 12. Let l(r) = -9*g(r) - 4*m(r). Let q be l(-7). Let u = 10 + q. What is the remainder when 21 is divided by u?
10
Suppose 1 = g - 5. Calculate the remainder when 10 is divided by g.
4
Suppose -50 = -7*g + 2*g. Let v(b) = b**3 - 12*b**2 + 11*b - 11. Let k be v(10). Let m = -72 - k. What is the remainder when m is divided by g?
9
Let a = 148 - 110. Calculate the remainder when 75 is divided by a.
37
Let d(m) = m**2 + 6*m + 17. Calculate the remainder when 35 is divided by d(-5).
11
Suppose -3*l = -p + 23, -5*p + 9 = -4*l - 62. Suppose 0 = 3*u - 15, 3*v - 4*u - p = 2. Let n = v - -2. Calculate the remainder when n is divided by 5.
3
Suppose 0 = 3*f - 8 - 40. Calculate the remainder when -87*1*(-3)/9 is divided by f.
13
Let f(i) = 2*i**2 + 4*i + 2. Calculate the remainder when 13 is divided by f(-3).
5
Let q(c) = -c - 5. Calculate the remainder when 39 is divided by q(-15).
9
Let s(u) = -10*u**3 - u**2 + 1. What is the remainder when 108 is divided by s(-1)?
8
Let s(a) be the third derivative of a**5/60 - a**3/3 + 4*a**2. What is the remainder when s(-6) is divided by 12?
10
Suppose -3*q + 12 = -0. Suppose 0 = q*p - 117 + 1. What is the remainder when p is divided by 15?
14
Suppose -4*s = -12 - 92. What is the remainder when 77 is divided by s?
25
Let k = 34 - -19. Calculate the remainder when k is divided by 20.
13
Suppose 13 = 3*b + 3*g + 1, 0 = -4*g. Let z = 18 - 11. Suppose -2*m + 5*o = 1 - 0, 3*o - z = -2*m. Calculate the remainder when b is divided by m.
0
Let c(y) = -2*y + 7. Let n(d) = -d - 3. Let o be n(4). Calculate the remainder when c(o) is divided by 11.
10
What is the remainder when (72/(-3))/((-6)/4) is divided by 3?
1
Let a(n) = n + 28. What is the remainder when 28 is divided by a(-12)?
12
What is the remainder when 39 is divided by (-435)/(-45) - -4*(-1)/6?
3
Let f(x) = -x**3 + 15*x**2 + 3*x - 34. Calculate the remainder when 18 is divided by f(15).
7
Suppose -10*m + 4 = -8*m. Calculate the remainder when 3 is divided by m.
1
Let x(j) = -3*j**3 - 3*j**2 - 2*j - 2. Let s be x(-2). Let t = s + 1. What is the remainder when (12/3 - 2) + 41 is divided by t?
13
Suppose -4*q = 4*b - 368, 3*b = 2*q - b - 178. Calculate the remainder when q is divided by 23.
22
Suppose 0 = -b + 7 - 2. Let p be (24/10)/(6/40). Suppose 0 = -4*g + 2*g + p. What is the remainder when g is divided by b?
3
Let r = 254 + -158. Calculate the remainder when r is divided by 33.
30
What is the remainder when 2/(4/(-26) + (-108)/(-533)) is divided by 11?
8
Let y(v) = -v**3 + 7*v**2 - 3*v - 6. What is the remainder when 84 is divided by y(5)?
26
Suppose 2*g = 74 + 130. What is the remainder when g is divided by 27?
21
Suppose 0 = -2*z - 4*h + 100, -h + 0*h = -5*z + 217. What is the remainder when 173 is divided by z?
41
Suppose 6*b - 93 = -63. What is the remainder when 19 is divided by b?
4
Let a be -3 - 3*(12 - 0). Let k = a - -113. Calculate the remainder when k is divided by 19.
17
Suppose -2*g = -4 - 6. Suppose 0*o = g*o - 80. Calculate the remainder when 78 is divided by o.
14
Let b = -33 - -50. Suppose 0 = 2*h - 1 - b. Calculate the remainder when h is divided by 3.
0
Suppose 4*w - w = -x + 56, -3*w + 179 = 4*x. Let d(z) = 7*z. Calculate the remainder when x is divided by d(2).
13
Let m = 1483 - 731. What is the remainder when (1*-1)/((-8)/m) is divided by 24?
22
Let l(d) = -d**2 - 7*d + 8. Let h be l(-6). Let c = h - -1. Let r(x) = -x**3 + 6*x**2 + 4*x - 1. Calculate the remainder when r(5) is divided by c.
14
Calculate the remainder when (-51 + 2 + 4)*-1 is divided by 16.
13
Suppose -3*f = -3*d - 8*f + 397, 2*d + 3*f = 265. Calculate the remainder when d is divided by 27.
26
Calculate the remainder when ((-1)/(-1))/(-3 - (-166)/55) is divided by 19.
17
Suppose d - z - 9 = 0, -5*z = -d + 41 - 16. Let f = -4 - d. Calculate the remainder when (9 + -2)/((-3)/f) is divided by 11.
10
Suppose 0 = p + 4*r - 19, -3*p - r = -5*r - 121. Suppose -2*t = -2*i - 38, 57 = 3*t + 2*i - 4*i. What is the remainder when p is divided by t?
16
Let i = -4 - -9. Let b = 5 - i. Suppose -f = -b*f - 19. Calculate the remainder when f is divided by 7.
5
Let t(u) = 11*u + 10. Calculate the remainder when t(0) is divided by (-30)/(-8) - (-3)/12.
2
Suppose 5*t - 125 = -5*z - 35, 3*z = -2*t + 49. Let w(m) = m**2 + 2*m - 11. What is the remainder when w(-8) is divided by z?
11
Let o(t) = -t - 2. Let f be o(-3). Suppose -c = f, 30 = 3*w + 3*c - 123. What is the remainder when w is divided by 18?
16
What is the remainder when 14 is divided by 3/(-1) + 0 + 7?
2
Let s = -24 + 30. Calculate the remainder when 26 is divided by s.
2
Let i(j) = j**2 + 4. Let h be (-1)/1*-5*3. Let t = h - 7. What is the remainder when i(3) is divided by t?
5
Let s = -3 + 3. Suppose -4*v + 2*t + 156 = s, v - 5*v = 5*t - 156. Calculate the remainder when v is divided by 20.
19
Suppose -5*r + 33 - 8 = 0. Let w = 8 + r. Calculate the remainder when w is divided by 7.
6
Let c(n) = -n**3 - 10*n**2 + 11*n + 8. What is the remainder when 20 is divided by c(-11)?
4
Let t be (-418)/6 + (-2)/6. What is the remainder when 85 is divided by (-14)/t + (-109)/(-5)?
19
Let q(a) = a**3 + 12*a**2 + a + 16. Let t = -12 + 17. What is the remainder when t is divided by q(-12)?
1
Suppose -5*o + 3*q = 5*q - 66, 3*o - 5*q = 21. Let a(k) = 4*k**2 - 3*k - 4. Calculate the remainder when a(3) is divided by o.
11
Suppose -4*p = -4*u + 68, u = 2*u + p - 21. What is the remainder when 150 is divided by u?
17
Suppose -5*q + 23 - 3 = 0. Suppose q*v - 10 + 2 = 0. Calculate the remainder when 5 is divided by v.
1
Let h(o) = -o**3 - 5*o**2 - 6*o - 2. Calculate the remainder when h(-5) is divided by (-3)/(-6) - (-38)/4.
8
Suppose 7 = -2*b + v + 37, -4*b + 4*v = -60. What is the remainder when 22 is divided by b?
7
Suppose -2*d = -0*d - 5*h - 1, 0 = -4*d + 3*h + 37. What is the remainder when 24 is divided by d?
11
Let t(c) be the second derivative of -c**3/3 + c**2/2 + c. Suppose 0 = -4*y - 3*o - 20, -3*y - 10 = o - 0*o. Calculate the remainder when