 p be 4/(-6) - (-136)/6. Suppose v = -v + p. Calculate the remainder when 32 is divided by v.
10
Suppose -9 = -3*c - n, -2*c + 3*n + 6 = -0*c. Suppose -3*b - b = -c*a - 12, -b + a = -3. Let l(m) = 5*m + 4. Calculate the remainder when 55 is divided by l(b).
17
Let g(t) = -11*t + 4. What is the remainder when g(-2) is divided by 9?
8
Suppose v - 32 = 5*m, -v + m + 2 = 2*m. Calculate the remainder when 10 is divided by v.
3
Suppose -4 = -2*n + 2. Suppose 0*p = -n*p + 75. What is the remainder when p is divided by 14?
11
Let o = -23 + 37. Let i = o + 11. What is the remainder when i is divided by 14?
11
Let w(b) = b**3 + 12*b**2 - 2*b + 5. Let o = 17 - 7. Calculate the remainder when w(-12) is divided by o.
9
Let x(q) = 3*q + 30. What is the remainder when 28 is divided by x(-8)?
4
Let r be 1/(-3)*(-210)/7. Let x(y) = y**3 - 9*y**2 - 9*y. Calculate the remainder when 28 is divided by x(r).
8
Let u(a) be the third derivative of a**4/24 + 2*a**3 - 4*a**2. Calculate the remainder when 42/2 - (-2 - -3) is divided by u(-5).
6
Let m be 2/(-2*3/(-9)). Calculate the remainder when 1 is divided by 24/15 + m/(-5).
0
Suppose -c + 12 = -4*f, 0*f = f + 2. Suppose -c*t = z - 13, z + 2*t = 2*z - 1. What is the remainder when 11 is divided by z?
1
Let x(d) = -d**3 + 2*d**2 + 2*d - 1. Let p be x(2). Suppose -p*l - w - 2*w = 18, 2*w = -4. Calculate the remainder when 43 is divided by ((-30)/l)/((-1)/(-2)).
13
Let b = 34 - 11. Calculate the remainder when b is divided by 12.
11
Let g(y) = y + 13. What is the remainder when g(6) is divided by 11?
8
Suppose 9*l - 2*v + 212 = 4*l, -2*l + v = 84. Let h = 19 - 11. Calculate the remainder when l/(-4 + 3 + -1) is divided by h.
6
What is the remainder when (-49)/(-3) - 2/(-3) is divided by (9/(-5))/((-27)/90)?
5
What is the remainder when 2*(0 + 356/8) is divided by 23?
20
Calculate the remainder when 45 is divided by (-84)/(-4) + -3 + -1.
11
What is the remainder when ((-2)/(-3))/(6/117) is divided by 4?
1
Suppose -2*i - 7 + 37 = 0. What is the remainder when 57 is divided by i?
12
Let b be 5*(4/(-10) - 0). Let q be (-1 - -17) + 4 + b. Let f = 40 - q. Calculate the remainder when f is divided by 8.
6
Let w = 1 - -1. Suppose -w*a - 116 = -6*a. What is the remainder when 57 is divided by a?
28
Let d(w) be the third derivative of -w**4/12 + 2*w**3/3 - 7*w**2. What is the remainder when 56 + (2 - 4) + 1 is divided by d(-5)?
13
Let g = 0 + 0. Suppose -n + g = 2. Calculate the remainder when n/((-13)/11 - -1) is divided by 6.
5
Let d = 0 + 12. Let u = d - 9. Calculate the remainder when 6 is divided by u.
0
Let j = 122 + -67. What is the remainder when j is divided by 14?
13
Suppose 0 = -4*k + 4 + 8. Suppose 2*q - k*p - 43 = 0, -q + 3*p + 21 = 2*p. Let r(b) = b**2 - 5. What is the remainder when q is divided by r(-4)?
9
Suppose 5*w + 5*y + 54 = 184, -5*w - 2*y + 121 = 0. What is the remainder when w is divided by 4?
3
Let q = 1 - 1. Suppose 2*f - 4*f + 702 = q. What is the remainder when 36 is divided by 1/(-2) + f/18?
17
Let q(g) = 28*g**2 - g. What is the remainder when q(1) is divided by 6?
3
Suppose 9 = 3*d - 33. Let n(v) = v**3 - 6*v**2 - 6*v - 2. Let u be n(7). Let r = u - -3. Calculate the remainder when d is divided by r.
6
Let q(r) = 2*r - 12. Let z be q(8). Suppose z*n - 5*d + 6 = 39, -4*n = 3*d + 7. What is the remainder when 2 is divided by n?
0
Let a = 8 - 4. Calculate the remainder when 0 + -1 + (10 - -1) is divided by a.
2
Let r = -606 + 1035. Calculate the remainder when r is divided by 54.
51
Suppose 2*q - 34 = -2*b, 5*b = q - 0*b + 13. What is the remainder when 44 is divided by q?
8
Let w(s) = 79*s + 1. Let v be w(-1). Let x = 3 + 4. Calculate the remainder when (v/9)/(6/(-9)) is divided by x.
6
Let y = 22 - -11. Suppose 11 = 4*x - y. What is the remainder when x is divided by 4?
3
Suppose 3*n = 20 + 34. Calculate the remainder when 50 is divided by n.
14
Suppose 4*d - 88 = 4*m, -5*m = -0*m + d + 110. Let r = -13 - m. Let y(o) = 3*o**2 - 5*o - 4. Calculate the remainder when y(4) is divided by r.
6
Let c = -5 - -7. Suppose -3*m + c*f = -5, 0 = -2*f - 2*f + 8. Suppose 7*r = m*r + 16. What is the remainder when r is divided by 3?
1
Let o = 9 + -3. Suppose o = -2*m - 0. What is the remainder when 35 is divided by m/((-6)/34) + 2?
16
Let p(v) = -6*v - 3*v**2 - 2 + 2*v**2 - 2*v**2 + v**3. Let r be p(5). Let f = -4 + r. What is the remainder when 26 is divided by f?
12
Suppose -37*v + 126 = -30*v. What is the remainder when 87 is divided by v?
15
Suppose -5*a + 45 = 2*c + 3*c, 2*a + 10 = 0. Let b be c/3 + (-2)/3. Suppose 2*k - r = b, 2*k - 2 = 5*r + 2. Calculate the remainder when 3 is divided by k.
1
Suppose 2*z = -z - 402. Let i = -80 - z. Let r = i - 37. Calculate the remainder when 33 is divided by r.
16
Let m = 68 + -62. What is the remainder when (-18)/3*14/(-4) is divided by m?
3
Let h = -126 + 231. Calculate the remainder when h is divided by 27.
24
Suppose 3*y + 111 = 444. Calculate the remainder when y is divided by 13.
7
Let z = 2 + 24. Suppose -24 = -2*g + z. What is the remainder when g is divided by 2 + (-33)/(-9)*3?
12
Let a be ((-20)/(-3) + -2)*6. Let m be (-8)/a - 10/14. Calculate the remainder when (0 + -1 + -43)*m is divided by 23.
21
Let a be 484/11 + (1 - 1). Suppose z + 3*q = 3, -3*q + 13 = 4*z - a. What is the remainder when 50 is divided by z?
14
Suppose 0 = -o + 3*o - 72. Let u = o + -24. Calculate the remainder when 45 is divided by u.
9
Suppose 3*h + 263 = 8*t - 3*t, 0 = t + h - 51. Calculate the remainder when 207 is divided by t.
51
Let j = 71 - 51. Let m(k) = 10*k**2 + 1. Let w be 1/((1*-3)/(-3)). Calculate the remainder when j is divided by m(w).
9
Let s be 140/25 + 4/10. Let b = s + -4. Calculate the remainder when 43 is divided by 10 + b/(4/2).
10
Suppose g + 4*f + 5 = -8, -2*g - 2*f = -4. Let v = -15 + g. What is the remainder when 17 is divided by (-11 - v) + 4*3?
8
Suppose 0 = -2*z + 5*z - 42. Let y be (2/7)/(2/z). Suppose -3*g + y*g = 2*n - 8, 22 = 3*g + 5*n. Calculate the remainder when 7 is divided by g.
3
Suppose -2 = -4*g + 2*g. Let a = -280 - -283. What is the remainder when a is divided by g?
0
Suppose 53 = 5*z + 3. Suppose -4*x = -z - 10. What is the remainder when 19 is divided by x?
4
Suppose -5*q = -78 + 28. Calculate the remainder when q is divided by (4/8)/((-2)/(-12)).
1
Let d(x) = 5*x - 10. Let u(l) = l**3 - 5*l**2 - 2*l - 3. Let c be u(6). Suppose c + 0 = 3*j. Calculate the remainder when d(j) is divided by 14.
11
Suppose 6*c - c - 165 = -2*p, -p - 66 = -2*c. What is the remainder when c is divided by 18?
15
Let g(y) = 53*y**2 - y + 1. Let j(x) = -x + 1. Let u be j(0). What is the remainder when g(u) is divided by 14?
11
Let o = -1 - -6. Suppose 3*y + 3*h - 8*h = -15, -y - 3*h = o. What is the remainder when (-6)/(-15) + (-83)/y is divided by 6?
5
Suppose 0*d = -4*d. Suppose d*t - t = -4*a - 1, 32 = 2*t + 2*a. What is the remainder when (12 - 10)/(4/74) is divided by t?
11
Let d(k) = -k**3 + 7*k**2 + 3*k + 4. Calculate the remainder when d(7) is divided by 7.
4
Let w = 0 + 6. Let h = -236 + 259. What is the remainder when h is divided by w?
5
Let s(b) = 3*b - 1 + b**2 - b**2 + b**2 + 2*b. What is the remainder when 14 is divided by s(-6)?
4
Suppose -25 = -2*t - 9. Suppose -3*i = i - t. Calculate the remainder when 46 is divided by (9 - (-1 - i))/1.
10
Let l = 71 + -31. Calculate the remainder when l is divided by 7.
5
Let g(k) = k + 9. What is the remainder when 28 is divided by g(7)?
12
Let u(k) = k**2 + 3*k - 5. Let l(d) = -d**2 - 15*d - 10. Let c be l(-14). Calculate the remainder when u(c) is divided by 12.
11
Let x = 23 + 4. Calculate the remainder when x is divided by 15.
12
Suppose -234 = -5*v - 4*m, 223 - 82 = 3*v + 3*m. What is the remainder when v is divided by 12?
10
Let c(i) = -i**3 - i**2 + 2. Let v be c(0). Let k = v - -15. Calculate the remainder when k is divided by 6.
5
Let i(g) = -9*g + 2. Let h be (3/4)/(2/(-8)). Suppose 2*r - 11 - 9 = 0. Calculate the remainder when i(h) is divided by r.
9
Let f(c) = c**3 + 9*c**2 - c + 1. Let q = -17 + 36. What is the remainder when q is divided by f(-9)?
9
Suppose k - 5*k + 3*g + 54 = 0, -3*k - 5*g + 55 = 0. Suppose -4*a = 5*x - 227, -5*x + 153 + 50 = -4*a. Calculate the remainder when x is divided by k.