er when j is divided by 18.
14
Let s = 55 + -34. Calculate the remainder when 61 is divided by s.
19
Let i = 2 - -2. Suppose -2*z + 128 - 9 = 5*n, -i*z + 5*n = -223. What is the remainder when z is divided by 15?
12
Let n(d) = 8*d**2 - 3*d + 1. Let j = -17 + 9. Let g(o) = o**2 + 5*o - 10. Calculate the remainder when n(2) is divided by g(j).
13
Suppose 0 = -3*i - 2*i + 465. What is the remainder when i is divided by 32?
29
Let a = 9 - 4. Calculate the remainder when a is divided by 4.
1
Let s(q) = 6*q**2 - 4*q + 3. Let d(v) = 4*v**2 + 3*v + 2. Let c be d(3). Let r = c - 34. Calculate the remainder when r is divided by s(1).
3
Suppose 3*v = 5*u + 539, -208 = -v - 0*v - 4*u. Suppose 2*s = -2*s + v. What is the remainder when s is divided by 16?
15
Let b(r) = 9*r**3 + r. Let m(q) = -83*q - 1. Let c be m(-2). Calculate the remainder when c/9 - 4/(-6) is divided by b(1).
9
Let r = 8 - 9. Let v(l) = -78*l. Calculate the remainder when v(r) is divided by 20.
18
Let u(j) = -5*j + 18. What is the remainder when u(-8) is divided by 20?
18
Suppose -2*l = 2*l. Suppose -c - 1 = l, -3 = 5*j + 3*c - 20. Calculate the remainder when j is divided by 3.
1
Suppose 0 = 5*y - y - 64. What is the remainder when 63/14*(-20)/(-3) is divided by y?
14
Let r(s) be the second derivative of -2*s**3/3 - 4*s**2 + 3*s. Suppose 0 = -3*a - 11 - 7. Calculate the remainder when r(a) is divided by 6.
4
Suppose -z = h + 7, -2*z - z + 3 = -5*h. Calculate the remainder when 2 + (-81)/(-3) - h is divided by 11.
10
Suppose 4*i = i + 12. Suppose 5*j + 4 = -3*l, -i*j - 12 - 8 = 0. Let p = l - -1. What is the remainder when 15 is divided by p?
7
Let y(w) = w**3 - 9*w**2 + 9*w - 3. Let j be y(8). Suppose 5*k - 20 - 12 = -4*m, -j = k - 3*m. Calculate the remainder when 4 is divided by k.
0
Let p(b) = b**3 + 14*b**2 + 11*b - 10. Calculate the remainder when p(-13) is divided by 9.
7
Suppose 2*t + 4*k - 8 = 0, 3*t + 2*t = -k - 7. Calculate the remainder when (3*1)/((-1)/t) is divided by 4.
2
Let i(m) = m**2 - 12*m. Let q(g) = 3*g**2 - 37*g - 1. Suppose 3*f + f = 8. Let a(y) = f*q(y) - 7*i(y). Calculate the remainder when 56 is divided by a(7).
18
What is the remainder when 57 is divided by (-20)/10*1/2*-15?
12
Let s(z) = 2*z + 41. Calculate the remainder when s(0) is divided by 14.
13
Suppose -2*x = -2*u - x - 4, 4*u - 5*x + 14 = 0. What is the remainder when (-146)/(-3) - u/3 is divided by 17?
15
Suppose -193 = -3*b - 76. Calculate the remainder when b is divided by 21.
18
Suppose 0 = m - 4*m. Suppose 3*q - q - 28 = m. Suppose -6*v - 9 = -57. What is the remainder when q is divided by v?
6
Let f = 60 - 49. What is the remainder when f is divided by 2?
1
Suppose 118 + 93 = r. Suppose r + 103 = 5*h - u, u - 306 = -5*h. Calculate the remainder when h is divided by 21.
20
Suppose 108 + 135 = 9*z. What is the remainder when z is divided by 2 - 4 - (-19 + 2)?
12
Suppose 0 = 5*c + 2*v - 49, -c - 3*v + 4 - 2 = 0. Suppose -2*w - w + 126 = 0. Suppose -18 = -3*g + w. Calculate the remainder when g is divided by c.
9
Suppose 2*b - 18 = 56. What is the remainder when b is divided by 19?
18
Suppose -b + l + 81 = 0, 10*b - 417 = 5*b + 2*l. What is the remainder when b is divided by 22?
19
Let l be (5/(-2)*-4)/(-1). Let r(t) = 6*t**3 - t. Calculate the remainder when r(1) is divided by 2/l - (-144)/45.
2
Let v be 2/(0 - 2) + 5. Suppose -v*f - f + 145 = 3*q, 4*q = 4*f + 236. Suppose -3*t - 6 = -63. What is the remainder when q is divided by t?
17
Let g(w) = 12*w**2 - w. Suppose 4*m + 59 = 5*t + 11, 4*m + 2*t = -20. Let f = m + 8. What is the remainder when 32 is divided by g(f)?
10
Let a(l) = -3*l**3 - l**2 - 4*l - 3. Let m be a(-2). Suppose -3*g + m = 10. Calculate the remainder when 14 is divided by g.
4
Suppose 4*w - 55 = -y, w + 3 = 2*y + 10. What is the remainder when ((-48)/14)/(1/(-7)) is divided by w?
11
Let b(i) = i**2 - 12*i - 2. What is the remainder when b(-4) is divided by 21?
20
Suppose 0 = 13*y - 9*y - 292. What is the remainder when y is divided by 19?
16
Suppose -30 - 34 = -2*y - 5*q, 0 = 2*y - 5*q - 24. Suppose w = -w + y. Let z(x) = 22*x**2 - x. Calculate the remainder when z(1) is divided by w.
10
Let z = 68 + -122. Let m be 1/(-2 + (-110)/z). Suppose 2*i - m = -1. What is the remainder when 37 is divided by i?
11
Suppose -4*l = 20, -4*d - 4*l = -12 - 20. Let x = d - 1. What is the remainder when 34 is divided by x?
10
Let b(p) = -6*p + 4. Let l(h) be the third derivative of h**6/120 + h**5/60 - h**4/12 + h**3/3 + h**2. What is the remainder when b(-4) is divided by l(2)?
8
Suppose -10 = s + 4*v - 0*v, 2*s - 32 = 5*v. What is the remainder when 23 is divided by s?
5
Suppose 0 = 4*a + 2*w - 90, 3*a - 78 + 28 = 2*w. Calculate the remainder when a is divided by 7.
6
Suppose f = -3, -f + 39 + 18 = 3*n. Suppose -p = -0*o + 5*o - 5, p + 2*o = 2. Let g = p + 7. Calculate the remainder when n is divided by g.
6
Suppose -2*v - 30 = -5*l, -2*v + 2 = 12. Calculate the remainder when 22 is divided by l.
2
Let o(h) = -11*h. Let x(s) be the third derivative of s**6/20 - s**5/60 - s**4/24 + s**3/6 + 3*s**2. Calculate the remainder when x(2) is divided by o(-2).
21
Suppose 4*z - 84 = 168. Calculate the remainder when z is divided by 22.
19
Suppose x = g - 3*g, -5*x + 28 = 3*g. Calculate the remainder when x is divided by 4.
0
Calculate the remainder when 7 - 4 - (-168 - 4) is divided by 44.
43
Suppose -5*i + 190 = 4*r + r, r = -4*i + 41. What is the remainder when r is divided by 10?
7
Let g = -2 + 4. Suppose -q + g*q - 21 = -v, 0 = 3*v - 5*q - 63. What is the remainder when 40 is divided by (v/2)/((-3)/(-6))?
19
Suppose 30*h - 35*h = -335. Calculate the remainder when h is divided by 17.
16
Suppose -3*q + 2*n = 2*q, -2*q - 4*n = -24. Let r(d) = d**3 + 6*d**2 + 3*d - 6. Let t = -13 - -8. What is the remainder when r(t) is divided by q?
0
Let h be -1*(-3)/(-3) - -6. Suppose -m = -1, c - 3*m = h*c - 19. Let j(a) = a**3 - 4*a**2 + 3*a - 6. Calculate the remainder when 17 is divided by j(c).
5
Suppose 0*b + b = 5. Suppose -z = -2*x - 4 - 14, -b*z + 57 = x. What is the remainder when z is divided by 5?
2
Let k be (-9)/24*2*24. Let v = -8 - k. Calculate the remainder when 17 is divided by v.
7
Let u = -4 - -6. Suppose -55 = -u*z - 3*z. Let q = -12 - -16. Calculate the remainder when z is divided by q.
3
Let w(u) = -u**3 + 7*u**2 - 4*u - 8. Let z be w(6). Let s = z + 9. What is the remainder when 50 is divided by s?
11
Let o be 24/5 - (-1)/5. Let z = -5 + o. Let h = z + 3. Calculate the remainder when 10 is divided by h.
1
Calculate the remainder when 2/4 - 314/(-4) is divided by 16.
15
Let n(j) = -5*j**3 + 2*j**2 + 2*j + 3. What is the remainder when n(-2) is divided by (-2)/(-2) + (5 - -19)?
22
Let w(a) = -4*a + 3. Let f = 6 + -11. Suppose 3*b - 5*p = 19, -3*b - p = 2*b - 41. Calculate the remainder when w(f) is divided by b.
7
Let x(i) = i**3 + 7*i**2 + 6*i - 4. Let j be x(-6). Let z(q) = q**2 + 3*q - 5. Let y be z(j). What is the remainder when (-48 - (0 + -1))/y is divided by 16?
15
Suppose 0 = -w + s - 4*s + 56, 0 = 3*w + 3*s - 156. Suppose 2*d - 340 = -2*d. Let l = d - w. Calculate the remainder when l is divided by 18.
17
Let m(s) = -s**3 - 5*s**2 - 3*s + 2. Let j be -7 + 1 - 3/(-3). Let d(b) = -b**3 - 8*b**2 - 10*b + 18. What is the remainder when m(j) is divided by d(-6)?
5
Suppose 0 = -7*r + 2035 - 110. What is the remainder when r is divided by 46?
45
Let p be 13*(-1 - (-4)/2). Let l = p + 5. What is the remainder when l is divided by ((-7)/5)/((-16)/80)?
4
Suppose -12*z + 39 = -11*z. Suppose -34 = -5*f + f + 2*s, 4*s = 2*f - 8. What is the remainder when z is divided by f?
9
Suppose 0*n + 3*d = 2*n - 54, 5*n - 135 = 3*d. Calculate the remainder when 79 is divided by n.
25
Let u(v) = -v**3 - 5*v**2 + 3. Let y = -2 - 3. Calculate the remainder when 8 is divided by u(y).
2
Calculate the remainder when 1 + 1 + 62/2 is divided by 12.
9
What is the remainder when 56 is divided by -42*(4/8 + -1)?
14
Suppose -13 - 1 = -2*t. Calculate the remainder when 25 is divided by t.
4
Suppose 3*m - 5 - 7 = 0. Let o = m - 7. Let s = o + 19. Calculate the remainder when 46 is divided by s.
14
Let c(y) = y**3 + y**2 + 2*y + 13. What is the remainder when c(0) is divided by 2?
1
What is the remainder when (0 + 8)/2