8) + (-52)/(-8) is divided by 4?
1
Suppose d - 52 = -3*q, -5*d + q = -0*q - 276. Calculate the remainder when d is divided by 21.
13
Let o(r) = r**3 + 29. Let j be (1 - -9)*(-4)/(-10). Suppose j*i - 33 = i - 3*d, 4*i - 4*d = 36. What is the remainder when o(0) is divided by i?
9
Let v = 39 + -28. Suppose 0 = -r + 3 + v. Let t = -6 + 14. Calculate the remainder when r is divided by t.
6
Let k be -3 + 2 - (1 - 4). Suppose 0 = x - k*x + 2. Calculate the remainder when 4 is divided by x.
0
Suppose -5*z = -0*z + 5, -r - z + 7 = 0. Calculate the remainder when 22 is divided by r.
6
Let r(p) = -1 + p + 6*p**2 + 7*p**2 + 5*p**2. Calculate the remainder when 35 is divided by r(1).
17
What is the remainder when 2/(-3) - 1207/(-51) is divided by 6?
5
Suppose 4*z = -0*z + 20. Suppose -z*r + 11 = -l, -5*r = -5*l - 2 + 7. Calculate the remainder when 8*-3*(-2)/8 is divided by l.
2
Calculate the remainder when 45 is divided by ((-3)/(-2))/((-134)/(-64) - 2).
13
Suppose 0 = 3*r - 4*u - 83, -r + 2*u - 71 = -4*r. Calculate the remainder when r is divided by 16.
9
What is the remainder when (-313)/(-5) - (-2)/5 is divided by 16?
15
Let z(m) = -2*m**3 + 9*m**2 - m + 1. Suppose -4*p = -5*p + 5. Calculate the remainder when z(4) is divided by p.
3
Suppose 3*j - 2*l + 70 = 0, -l + 126 = -5*j - 0*l. Let d = j + 37. Calculate the remainder when d is divided by 7.
4
Let r be 2/4 - (-41)/2. Suppose -2*c + 38 = c + 4*z, 2*z - 14 = -c. Let q = r - c. What is the remainder when 21 is divided by q?
10
Let i = 12 - 6. Let z = -6 + i. Suppose z = n + 5*t - 29 - 18, 0 = 2*n - 3*t - 29. What is the remainder when n is divided by 12?
10
Suppose y + 0*y - 11 = 0. Suppose d = 3*a + 34, a + 43 = -d + 3*d. What is the remainder when d is divided by y?
8
Let k be 21/6 - (-1)/2. Suppose -k*n - 53 = 67. Calculate the remainder when 7 is divided by (-10)/35 - n/7.
3
Let r(c) = -c**3 + 1. Let q be r(-1). Let s(v) = -5 + q*v + 24 - 3*v. What is the remainder when 37 is divided by s(0)?
18
Let f(x) = x**3 - 3*x**2 + 3*x - 6. What is the remainder when f(4) is divided by 6 + (-3)/12*0?
4
Let s be 4*(-4)/(-8)*-3. What is the remainder when 4 is divided by (-4)/(-2 - s) + 3?
0
Suppose -4*y + 20 = -0*y. Suppose y*j + 21 = s, 103 = -s + 5*s - j. Calculate the remainder when 50 is divided by s.
24
Let u(a) = a + 7. Let n be u(-7). Let p = n + 8. What is the remainder when ((-3)/2)/((-2)/20) is divided by p?
7
Suppose 17*d + 2*d = 57. Suppose 10 = w - 2*v, 0 = 3*v - 4*v - 3. Suppose -w*a + p - 3*p = -36, 3*p = -3*a + 30. Calculate the remainder when a is divided by d.
2
Let h = 17 + -15. Suppose 1 = -j + 2*j. Calculate the remainder when h is divided by (0 + j)/((-2)/(-4)).
0
Let x be 2/(-8) - 123/(-12). Let k = x + -6. What is the remainder when 14 is divided by k?
2
Suppose 4*j - 195 = -63. Calculate the remainder when 96 is divided by j.
30
Let f = -49 + 60. Calculate the remainder when f is divided by 7.
4
Let u be 4/(-6)*(-18)/4. Calculate the remainder when 68/6*(3 + (-6)/4) is divided by -2 + u + -1 + 9.
8
Suppose 4*d = 2 + 14. Suppose d*s = -2*i + 26, 2*i + 0*s + s - 14 = 0. Let z(q) = q**3 - 3*q**2 - 3. Calculate the remainder when z(4) is divided by i.
3
Let v(w) = -8*w**3 - w. Let k be (-3)/(6/4) - -26. Let p = k + -8. What is the remainder when p is divided by v(-1)?
7
Suppose 2*a = 6, -2*y + 7*y + 4*a = 1087. Suppose y = 5*k + 25. Suppose -5*w = p - 3*w, 3*p + 2*w = 20. What is the remainder when k is divided by p?
8
Let m(d) = 0*d + 2*d**2 - d + 5*d**2 - d**3 + 0*d**3. Let u be m(7). What is the remainder when (-410)/(-14) + 2/u is divided by 15?
14
Let n(l) = l**2 - 2*l - 4. Suppose q = 6*q - 30. What is the remainder when n(-3) is divided by q?
5
Let w(i) = 2*i**3 - i**2 - 3*i + 2. Suppose 3 + 2 = -5*u - 5*n, 3*n - 11 = 4*u. What is the remainder when ((-22)/u)/(5/10) is divided by w(2)?
6
Suppose 4*q + 392 = 5*i, 0*i + 3*q + 85 = i. Calculate the remainder when i is divided by 40.
36
Suppose 4*z - 18 = -6. Suppose z*k - 44 = -5*d, d = -k + 6 + 12. What is the remainder when k is divided by 6?
5
Let y = -83 + 106. What is the remainder when y is divided by 18?
5
Let g be (4 + 0)/((-2)/617). Let i be (-8)/44 + g/(-11). Suppose r = -r + i. What is the remainder when r is divided by 19?
18
Suppose 3*o = 2*o + 5. Suppose -22 = -4*f - o*d, 5*f - 2*d - 2*d - 7 = 0. What is the remainder when 9 is divided by f?
0
Let l = -122 - -46. Let y = 109 + l. Let g = -13 + y. Calculate the remainder when g is divided by 7.
6
Let z(l) = -l**3 + 7*l**2 - 4*l - 1. Suppose 488*s = 489*s - 17. Calculate the remainder when z(4) is divided by s.
14
Let s be (1*-10)/2*-5. Let j = 42 - s. Let i(a) = a**3 + 4*a**2 + 2*a + 3. Calculate the remainder when j is divided by i(-3).
5
Let g = 17 + -12. Calculate the remainder when 14 is divided by g.
4
Let c(f) be the first derivative of -f**4/4 - 7*f**3/3 - 3*f**2/2 + 7*f - 4. Calculate the remainder when 83 is divided by c(-7).
27
Let u(y) = 4*y - 1. Let h be u(7). Let f = h - 18. Suppose f*i - 20 = n + 4*i, -3*n + 4*i - 5 = 0. What is the remainder when 13 is divided by n?
3
Suppose -2*x = 3*x - 465. Suppose -4*q + x = -23. What is the remainder when 113 is divided by q?
26
Let y(s) = -s**2 - 2*s + 7. What is the remainder when (12 + 2)*1/2 is divided by y(-3)?
3
Suppose -4*n = 5 - 25. Suppose n*t + z - 19 = -2*z, 4 = 2*t + 3*z. Suppose 70 = t*g - 40. What is the remainder when 64 is divided by g?
20
Let o(i) = 9*i + 0 + 1 - 7. What is the remainder when o(4) is divided by 17?
13
Suppose 0 = 4*g - j - 16, -27 = -5*g + 2*j - 7. Suppose -60 = -3*q - 18. Calculate the remainder when q is divided by g.
2
Suppose 2*p + 24 = 4*r, 3*p = 7*p - 3*r + 43. Let f = p - -14. Let w = 34 - f. Calculate the remainder when w is divided by 16.
14
Suppose -o = -3*o + 8. Let n = o + -4. Calculate the remainder when 19 - (0 - (n + 2)) is divided by 11.
10
Let o(g) = -g**2 - 4*g - 1. Let f be o(-3). Suppose 0*s = f*s - 24. Calculate the remainder when s is divided by 7.
5
Let s(r) = -r**3 - 24*r**2 + 22*r + 57. What is the remainder when s(-25) is divided by 27?
24
Let v(a) = 10*a. Let r be v(15). Suppose -n - 4*n = -r. What is the remainder when 117 is divided by n?
27
Let z(f) = -f**2 + f + 21. Suppose -2*h + 4*x = 3*h + 8, 2*x - 4 = 0. Let j = 23 - 12. What is the remainder when z(h) is divided by j?
10
Let z(k) = k**2 + 6*k + 5. Let r(c) = c + 2. Let v be r(-8). Let b be z(v). Suppose -h + 3 = -4*p + 18, -b = -h. What is the remainder when 18 is divided by p?
3
Suppose -2*a + 3*a = 6. What is the remainder when 20 is divided by a?
2
Let l be 2/(-4) - (-39)/(-6). Let s = l - -7. Suppose -2*h - 3*h + 55 = s. What is the remainder when 20 is divided by h?
9
Suppose 12 = y - j, -4*j + 0 + 4 = 0. Suppose x + y = 2*q, 3*x + 1 = 2*q - 10. Calculate the remainder when 27 is divided by q.
6
Calculate the remainder when 169/4 - (-3)/(3*-4) is divided by (6/(-4) + 2)*44.
20
Let u(a) = -a**2 - 6*a - 5. Let z be u(-4). Suppose z*y + 2 = -4. Let l(k) = k**2 - 3*k - 3. What is the remainder when 19 is divided by l(y)?
5
Let j(z) = -2*z**2 + 47. What is the remainder when j(0) is divided by 17?
13
Suppose -5*x - 15 + 95 = 0. Let h = -26 - -56. What is the remainder when h is divided by x?
14
Let x(f) = f**2 - 1. Let c be (9/(-6))/((-2)/(-4)). Calculate the remainder when x(c) is divided by 3.
2
Let a = 6 - -9. Let d = a + -2. Let x = d + -7. Calculate the remainder when x is divided by 4.
2
Let g = -1 + -1. Let c be 3 - 2 - g/2. What is the remainder when 3 is divided by c - 0/(-2 - 1)?
1
Suppose -171 = -3*l + 3*j, j - 3*j = -l + 56. What is the remainder when l is divided by 12?
10
Suppose 96 = 3*n + 2*q, -n + 3*n = 3*q + 64. Suppose 9 = -l + 40. Suppose 0 = 3*d - 20 - l. Calculate the remainder when n is divided by d.
15
Suppose 5*x - 3 = 4*x. Suppose 0 = -i - x*i + 8. Suppose 2*g = -4*m - 2 - i, 2*g = 3*m + 17. What is the remainder when g is divided by 3?
1
Suppose 0*y - 28 = 2*y. Let x = -10 - y. Suppose -x*r = -r - 18. What is the remainder when r is divided by 2?
0
Let h(b) be the second derivative of 4*b**3 + b**2 - 3*b. Let r(v) = -v**3 + 7*v**2 - v - 5. Calculate the remainder when h(3) is divided by r(6).
24
Suppose -2*q = -p + q + 107, -341 = -3*p + 5*q. What is the remainder w