/64).
13
Suppose -3 + 7 = -4*c. What is the remainder when (7 - 7) + (-23)/c is divided by 12?
11
Suppose 2*w + 3*y + 16 = 0, -5*w + 6*y - 65 = y. Let r(n) = -5*n - 5. Calculate the remainder when r(w) is divided by 13.
11
Suppose 16 = 3*o - 2*o - d, -2*d = 0. Let a = 24 - 14. Let k = a + o. What is the remainder when k is divided by 14?
12
Suppose 2*x = 68 + 48. Suppose -4*n = -5*n + 31. Let h = x - n. Calculate the remainder when h is divided by 10.
7
Let j be 1/(-2)*216/(-3). Suppose 6*f = 2*f - 4*a + j, -5*a - 39 = -2*f. What is the remainder when 47 is divided by f?
11
Suppose 114 = 5*v - 2*v. Let f(k) = -k**3 + 6*k**2 + 3*k - 4. Let l be f(6). Suppose 4*z - l = 38. What is the remainder when v is divided by z?
12
Suppose -64 = -3*z + b - 6*b, -4*z - 4*b + 88 = 0. Let a be (2/(-6))/((-3)/9). Calculate the remainder when z is divided by (-59)/(-5) + a/5.
11
Suppose 0 = -5*n - 5*m + 875, n - m = 37 + 144. What is the remainder when n is divided by 60?
58
Suppose 2*a + 2*s - 24 = 0, 2*a - 5*s = a. Let n(h) = -2*h - 10. Let q be n(-7). What is the remainder when (q/5)/((-2)/(-45)) is divided by a?
8
Suppose 13*d = 12*d - 3. What is the remainder when 3 is divided by (-1 - 3)*d/4?
0
Let h be 15/10 + (-2)/(-4). Suppose -h*q - 90 = -7*q. What is the remainder when 52 is divided by q?
16
Let b(i) = i**2 + 4*i + 1. Let h = 5 + -7. Calculate the remainder when (h/(-8))/(5/20) is divided by b(-4).
0
Let j be 1*(3 + (-18)/(-3)). Let t(d) = 3*d**2 - 2*d + 4. What is the remainder when t(-3) is divided by -3*(-2 - 21/j)?
11
Let x(a) = 7*a**2 + a + 5. Calculate the remainder when x(-3) is divided by 23.
19
What is the remainder when 67 is divided by (-12)/18*6/4*-7?
4
Let y(k) = k**3 + 5*k**2 - 5*k - 2. Let v be y(-4). Suppose 0 = 4*p + v + 14. Let l(n) = n**3 + 12*n**2 + 4. Calculate the remainder when 11 is divided by l(p).
3
Let b = 9 - -20. What is the remainder when b is divided by 16?
13
Suppose 4*m - 21 = p, 2*m - 4*p + 6 = m. Suppose -1 = f + 5*y, -y + 28 = 2*f - m*y. Calculate the remainder when f is divided by 5.
4
Suppose -4*s + 86 = w, 0 = -0*w - 2*w - 3*s + 152. What is the remainder when w is divided by 8?
6
Let d = 1334 + -1307. Let z = 0 + 7. Calculate the remainder when d is divided by z.
6
Suppose -35 = -2*r + 2*m + 23, 112 = 4*r - 3*m. Calculate the remainder when 72 is divided by r.
22
Suppose 3*g - 2*v - 28 = 0, 2*g + 5*v + 0*v = 25. Suppose p = 28 - 2. Let d = 44 - p. Calculate the remainder when d is divided by g.
8
Suppose 177 - 61 = 3*u + 2*p, 225 = 5*u - 3*p. What is the remainder when u is divided by 15?
12
Let t(y) be the second derivative of y**4/4 - y**3/6 - 2*y**2 - y. Calculate the remainder when t(-5) is divided by 52/(-7)*189/(-54).
24
Let l(v) = 8*v - 8. Calculate the remainder when l(2) is divided by 6.
2
Let p = 38 - -7. Calculate the remainder when p is divided by 12.
9
Suppose -g + 129 = -2*d, 4*g - 264 = 4*d - 0*d. Let x = 105 + d. What is the remainder when x is divided by 11?
9
Suppose -120 = -7*d + 2*d. Suppose -d = -f - 0. Calculate the remainder when f is divided by 13*(0 + 2)/2.
11
Let h be (-13)/(-3) + 2/(-6). Let q = 12 - h. Let i = 39 - 16. Calculate the remainder when i is divided by q.
7
Calculate the remainder when (-264)/(-4) + -1 + (0 - 0) is divided by 17.
14
Let y = 19 - 8. Suppose 4*p = p + 9. Suppose p*a = 4*a - y. Calculate the remainder when a is divided by 7.
4
Let n = -2 + 30. What is the remainder when n is divided by 15?
13
Let q be (-4)/12 - 8/(-6). Let z be (2 - q)*-2 + 37. Suppose -25 = -3*l + z. Calculate the remainder when l is divided by 11.
9
Suppose 0 = -4*f - a - 8 + 56, 4*f - 32 = -5*a. What is the remainder when 35 is divided by f?
9
Let i(z) = -z**2 + 7*z - 7. Let k be i(5). Suppose 2 = -4*r + k*r. Let q = 8 + r. What is the remainder when q is divided by 4?
2
Let d(n) = n**2 + 6*n + 7. Calculate the remainder when d(-11) is divided by 22.
18
Suppose 31*b = 24*b + 385. What is the remainder when b is divided by 8?
7
Calculate the remainder when -13 - -12 - (0 - 68) is divided by 17.
16
Suppose r - 2*r = -5*o - 47, -2*r - o = -39. Let u = -31 - -43. Calculate the remainder when r is divided by u.
10
Let p(j) = 5*j**3 - j**2 - 2. What is the remainder when p(2) is divided by 9?
7
Let f(x) = 2*x**3 - 2*x - 1. Suppose -c + 2*s + s = 0, 4*c + 16 = 4*s. Let t = 8 + c. Calculate the remainder when f(t) is divided by 4.
3
Let k(b) = -b**2 - b + 7. Let c be k(-4). Let u = c + 20. Calculate the remainder when 29 is divided by u.
14
Let t(c) = 1 + c - 2 + 1 + 1. Suppose h = -2*l + 12, 5*l - 4*h = h + 60. Calculate the remainder when l is divided by t(4).
3
Let s(y) = -4*y + 11. Suppose -20 = 3*x - 4*x. Calculate the remainder when x is divided by s(0).
9
Let n(s) = s**3 + 3*s**2 - 7*s - 1. Calculate the remainder when 95 is divided by n(3).
31
Suppose v + 29 = -5*d, -v - v - 5*d = 43. Let n = 2 - v. What is the remainder when 31 is divided by n?
15
Suppose -21*n = -22*n + 36. What is the remainder when n is divided by 13?
10
Let u be 7/(-49) + 43/7. Suppose u*a + 66 = 7*a. Suppose -3*l + 3*q = -a, l + 2*q - 10 = -q. Calculate the remainder when 73 is divided by l.
16
Let c = 21 - 15. Let n(f) = -4*f + 2. Let k be n(-4). Suppose -5*d = 2*i - k + 6, 2*i + 4 = -d. Calculate the remainder when c is divided by d.
2
Suppose 0 = 11*n - 5*n - 18. Suppose n*u - 140 = -u. What is the remainder when u is divided by 18?
17
Let r(p) = 4*p**2 - p - 1. What is the remainder when r(-4) is divided by 17?
16
Suppose 16 = 4*c + 80. What is the remainder when 28 is divided by 40/c*-3*2?
13
Suppose 4 = -2*o - 2*o, -5*o = -5*q - 45. Let n = q - 8. Let j = 52 + n. What is the remainder when j is divided by 12?
10
Let f = -122 + 206. Calculate the remainder when f is divided by 17.
16
Let w = 8 + -4. Let x(j) = -j**3 + 4*j**2 + 6*j - 1. What is the remainder when 45 is divided by x(w)?
22
Let c(s) = s**3 + 9*s**2. Let g be c(-9). Suppose 6 = x + 2*k - g*k, 5*k - 5 = 0. What is the remainder when x is divided by 2?
0
Let z(i) be the first derivative of -i**2/2 - 2*i - 3. Let t be z(-4). Suppose -w - 2 = 0, -d + t*w = 4*d - 104. What is the remainder when 38 is divided by d?
18
Let d = -23 - -38. Let x = d - 6. Let h(m) = 2*m**3 + m**2 - 2*m - 1. What is the remainder when h(2) is divided by x?
6
Let o(h) = h**3 + 4*h**2 - h - 2. Calculate the remainder when (-85)/(-3) - 1/3 is divided by o(-3).
8
Let n = -2 - -4. Let c be 5/n - (-1)/(-2). Suppose -1 = -m + c. What is the remainder when 5 is divided by m?
2
Let u = -42 + 89. What is the remainder when u is divided by 16?
15
Let v(x) = -x**2 + 5*x. Let r be (-3)/(-2) + (-40)/(-16). Calculate the remainder when v(r) is divided by 3.
1
Suppose -t = -6*t + 10. What is the remainder when 23/3 - (-4)/(-6) is divided by t?
1
Suppose -g = 3*p + 19, 2*p + g = -2*g - 15. Let d = p + 12. Suppose -a - d = 5*u - 42, -28 = -a - 3*u. What is the remainder when 47 is divided by a?
15
Let x = 2 - -5. Suppose 0 = -l + x - 1. What is the remainder when 21 is divided by l/15 + (-53)/(-5)?
10
Let g(l) = 5*l + 10. Let a be g(-10). Let t = -28 - a. Calculate the remainder when 47 is divided by t.
11
Let g be 3*(1 + (2 - 2)). Suppose g*s + 7 - 46 = 0. What is the remainder when s is divided by 7?
6
Let l = 16 - 5. Calculate the remainder when (-345)/207 - 328/(-6) is divided by l.
9
Let x(j) = 10*j**3 + j - 1. Let t be x(1). Let d = 6 + 17. What is the remainder when d is divided by (-4)/10 + 124/t?
11
Let n(c) = 3*c**2 - 11*c - 6. What is the remainder when n(7) is divided by 22?
20
Let l(k) = -k**3 + 8*k**2 - 8*k + 10. Let i be l(7). Calculate the remainder when 43 is divided by 27*(20/6 - i).
7
What is the remainder when 54 is divided by (-3)/(-4) - 106/(-8)?
12
Let l be (7/(-21))/((-2)/12). Suppose -3*k - p + 47 = -45, 5*k - l*p - 135 = 0. Suppose -7 = 5*o - 82. What is the remainder when k is divided by o?
14
Suppose 0*j - 3 = -j. Suppose 4*t - 15 = f, -j*f = -f + 3*t - 14. Suppose 0 = -2*s + 4. What is the remainder when s is divided by f?
0
Calculate the remainder when 67 is divided by ((-8)/12)/(4/(-138)).
21
Let v(z) = -2*z**3 + 8*z**2 - z + 10. Let b(u) = u**3 - 4*u**2 + u - 5. Let t(q) = -7*b(q) - 4*v(q). What is the remainder when t(5) is divided by 4?
1
Suppose 0 = 5*d +