
43
Suppose -16*c + 152 = -56. Calculate the remainder when 32 is divided by c.
6
Let a be (-910)/(-25) - (-2)/(-5). Let q = a - 12. Calculate the remainder when (q/(-4))/(2/(-18)) is divided by 28.
26
Let y = -93 + 123. Let t be 1*-12*(-69)/(-6). What is the remainder when ((-10)/y)/(2/t) is divided by 6?
5
Let h be 20/(-6)*1/(20/(-24)). Suppose 0 = 3*o - h*o + 9. Calculate the remainder when o is divided by 3.
0
Let c(p) = -p**3 - 4*p**2 - p + 7. Let l = 4 + -8. What is the remainder when 40 is divided by c(l)?
7
What is the remainder when (-78)/52*166/(-3) is divided by 44?
39
Suppose 8*g - 3*g - 15 = 0. Suppose g*b + 5 - 11 = 0. What is the remainder when 20 is divided by b?
0
Let m = 11 - 9. Suppose -3*c = -3*b, c - 1 = 4*b - 10. Suppose 21 = b*y + 6. What is the remainder when y is divided by m?
1
Let r(j) = 5*j - 108. Calculate the remainder when 526 is divided by r(25).
16
Let x = -169 + 259. Suppose 0 = 3*p - 2*w - 101, w + 0*w + 4 = 0. What is the remainder when x is divided by p?
28
Suppose 3*o + 462 = 5*k, -5*k + 4*o + 286 = -2*k. Let x = 107 - k. Calculate the remainder when 134 is divided by x.
15
Let q be (14/(-4) - -1)*-4. Let c be (-6)/q + 10/(-25). Let y(b) = -27*b**3 - 2*b - 2. What is the remainder when y(c) is divided by 14?
13
Suppose 420 = 10*j - 3*j. What is the remainder when j is divided by 27?
6
Suppose 4*k = -4*s + 8, 67*s - 62*s - k = 22. What is the remainder when 581 is divided by s?
1
Suppose 5*x = -3*b - 5, -b - b = 2*x + 2. Calculate the remainder when (566/(-10) - 4/10)*x is divided by 30.
27
Suppose 0 = -8*c + 23*c - 675. Calculate the remainder when c is divided by 26.
19
Calculate the remainder when (-12)/2 - -12 - (-2411 - 11) is divided by 90.
88
What is the remainder when (-18)/(-10)*(-48900)/(-180) is divided by 6?
3
Suppose 0 = -0*k - 3*k - 5*f + 124, -3*f = -15. Calculate the remainder when 87 is divided by k.
21
Let n(k) = -22*k - 37. Calculate the remainder when n(-3) is divided by 6.
5
Suppose 2*s - 6*s = -8. Calculate the remainder when 10 is divided by s.
0
Let v(q) = -q**3 - 3*q**2 - 8*q - 2. Suppose -5*r = -5, -47 = -5*u - 3*r + r. What is the remainder when v(-3) is divided by u?
4
Suppose 5*y - 3*y - 4*x = 40, -3*x - 12 = 0. Calculate the remainder when 57 is divided by y.
9
Suppose -r + 6*r = -5*b + 115, b + 3*r = 31. What is the remainder when b is divided by 5?
4
Let w = 181 - 153. What is the remainder when w is divided by 10?
8
Calculate the remainder when 0 + 22/(-11) + 78 is divided by 23.
7
Suppose -s + 360 = 4*x, -8*x = -5*x. What is the remainder when s is divided by 19?
18
Let k = 297 - 267. What is the remainder when 82 is divided by k?
22
Let i be (4 - 1) + (-3)/3. Suppose -63 = -4*p - 5*o, 3*p - 51 = -i*p + 3*o. Calculate the remainder when 56 is divided by p.
8
Suppose -10 = -2*l, 2*w - 7*w + 125 = 3*l. Let s = 209 + -205. What is the remainder when w is divided by s?
2
Let t = 353 + -301. Calculate the remainder when 668 is divided by t.
44
Let u = 32 - -54. Let l = u + -37. Calculate the remainder when l is divided by 17.
15
Let g(y) = 2*y**2 - 32*y - 61. What is the remainder when g(20) is divided by 25?
24
Let x = -8 - -13. Let v(a) be the third derivative of -5*a**4/24 - 23*a**3/6 - 44*a**2. Calculate the remainder when x is divided by v(-5).
1
Let f(z) = -5*z + 7. Calculate the remainder when 105 is divided by f(-4).
24
Suppose -3 = 4*s + 1, 3*t + 5*s - 13 = 0. Let g(q) = q**3 + 24*q**2 + 24*q + 32. Calculate the remainder when g(-23) is divided by t.
3
Suppose 0 = -5*r + 5 - 0. Let i = -7 + r. Let g = i - -21. Calculate the remainder when g is divided by 8.
7
Suppose 3*y + i = 113, 11*y - 10*y = 3*i + 31. Calculate the remainder when 143 is divided by y.
32
Let a be (-12)/(-8) - (-143)/2. Suppose -5*t - a = 17. Let w = 22 + t. Calculate the remainder when 4 is divided by w.
0
What is the remainder when -4*(-4)/((-96)/(-348)) is divided by 18?
4
Let t(x) = x**2 - 48*x - 65. What is the remainder when 102 is divided by t(50)?
32
Let j be ((-147)/(-14))/(2/12). Suppose 2*g - j = 43. What is the remainder when g is divided by 14?
11
Suppose -5*p = 32 + 103. Let y = 34 + p. Calculate the remainder when 11 is divided by y.
4
Let p(w) = w**3 - 18*w**2 - w. Let g be p(18). Let y = g - -37. What is the remainder when y is divided by 5?
4
Suppose 107 = 4*r + 5*q, 25 = -0*q - 5*q. Suppose 3*v = -4*z + 116, 2*v - 4 = z - r. Calculate the remainder when z is divided by 19.
10
Let x = 412 - 252. What is the remainder when x is divided by 141?
19
Suppose -848 = -a - 2*p, 2*a + 4*p - 3396 = -2*a. Suppose 17*m - a = -0*m. Calculate the remainder when 148 is divided by m.
48
Let h(z) = -4*z + 59. Calculate the remainder when 21 is divided by h(12).
10
Let i = -103 - -116. Suppose -5*h = -2*h - 6. Let l = i - h. Calculate the remainder when 32 is divided by l.
10
Suppose 0*v + 3*n = -3*v + 45, -v + 13 = 3*n. Let r be (-24)/9*(1 - 10). Suppose 23*l + 78 = r*l. Calculate the remainder when l is divided by v.
14
Suppose -12*s - 828 + 5112 = 0. What is the remainder when s is divided by 20?
17
Suppose 5*g - 113 = -p, 4*g - 49 = -3*p + 37. What is the remainder when g is divided by 9?
5
Suppose 5*p + 96 = 3*f, -8*f + 3*f - 5*p + 120 = 0. Calculate the remainder when f is divided by 6.
3
Suppose d - 11*i - 13 = -13*i, 5*i + 110 = 5*d. What is the remainder when 834 is divided by d?
17
Let b(c) = c**2 + 14*c - 36. What is the remainder when 524 is divided by b(3)?
14
Let w be 9/(-2)*-6*24/(-27). Let k = -10 - w. Let a(n) = 8*n**3 - n**2 + n. What is the remainder when k is divided by a(1)?
6
Suppose 491 = 23*m - 820. What is the remainder when m is divided by 33?
24
Let x(c) = -3*c + 7. Let v be x(1). Suppose 0 = -4*k - v*k + 208. Suppose -112 = -2*o + 90. What is the remainder when o is divided by k?
23
Let t(s) = -s**3 - 6*s**2 + 9*s + 28. What is the remainder when 55 is divided by t(-7)?
13
Suppose -5*p - 4*s = -103 - 147, -5*s + 150 = 3*p. Calculate the remainder when 63 is divided by p.
13
Suppose 0 = 26*p - 13944 - 8910. What is the remainder when p is divided by 55?
54
Suppose 6 = 4*d + 3*k + 52, -3*d = -4*k + 22. Let c = d + 17. Calculate the remainder when 11 is divided by c.
4
Let k(q) = -q**2 - 13*q - 8. Let u be k(-9). Calculate the remainder when ((-40)/(-7))/(u/98) is divided by 9.
2
Let k = 150 - 40. Let q be (84 - (-8)/4) + -1. Suppose -4*w - 2*m + k = 0, q = 4*w - 4*m + m. Calculate the remainder when w is divided by 13.
12
Suppose 15*v - 13*v + r = 17, -12 = -2*v - 2*r. Let o(f) = -f**3 + 4*f**2 + 3*f + 1. What is the remainder when o(-2) is divided by v?
8
Let b = 5 + 22. Suppose -2*w + 3*r + 35 = 0, 5*w = 10*w + 3*r - 119. Calculate the remainder when b is divided by w.
5
Suppose -9 + 65 = 4*v. Let s be (24/40)/(3/10). Suppose -s*g = 5*c + 3, -g = -6*g + 2*c + 36. Calculate the remainder when v is divided by g.
2
Let k(o) = o**3 - 7*o**2 + 7*o - 7. Let w be k(6). Suppose -q - 3*f = f + 18, 2*q - 14 = 2*f. Calculate the remainder when 30 is divided by w/(q - (-15)/(-7)).
2
Suppose 2*z - 57 = -d, 3*d = 5*z + 269 - 54. What is the remainder when d is divided by 6?
5
Suppose 4*q - 481 = 5*n, 596 = 2*q + 3*q - n. Calculate the remainder when q is divided by 11.
9
Suppose -p = -2*j - 12, -2*p - 4*j + 56 = -8. Let m = p + 1. Calculate the remainder when m is divided by 8.
7
Suppose -3*c - 111 = -5*h, -3*c = 1 - 10. Let r be -3*4/h*-4. Suppose -r*x + 5*i + 12 = -13, -42 = -4*x + 2*i. What is the remainder when x is divided by 4?
2
Let p be (-3)/(-7) - (-170)/(-70). Let c(f) = 12*f**2 + 2*f. Let t be c(p). Let m = t - 23. What is the remainder when m is divided by 11?
10
Let j = -6 - -13. Suppose 2*q + 3 = j. Suppose 5*w - 53 = -q*l, 3*w - l - 43 = -5*l. What is the remainder when 15 is divided by w?
6
Suppose 23*k = -10*k + 1881. What is the remainder when k is divided by 34?
23
Let i(t) = t**2 + 2*t - 2. Let u be i(1). Calculate the remainder when 69 is divided by u/8*14*(3 + 5).
13
Suppose 6 = -7*c - 8. Let k = 57 + -32. What is the remainder when k is divided by -8 + 6 - (-7 + c)?
4
Let u = -265 + 183. Let o = -61 - u. Calculate the remainder when 61 is divided by o.
19
Suppose 5*k + 1 = 4*t, -3*k + 5*t + 1 - 12 = 0. What is the remainder when 89 is divided by k?
2
Suppose 4