What is the remainder when c is divided by 8?
4
Suppose 4*o = -2*u + 50, u = -4*u + 5*o + 65. What is the remainder when u is divided by 3?
2
Let a(b) = 9*b**2 - 3*b. What is the remainder when a(2) is divided by ((-60)/25)/((-62)/465)?
12
What is the remainder when 449 is divided by ((-29)/4*10)/((-27)/54)?
14
Let w = 16 + 237. What is the remainder when w is divided by 34?
15
Suppose 2*q - c - 663 = -4*c, 3*q - 1027 = 2*c. What is the remainder when q is divided by 17?
16
Suppose -568 = 50*k - 58*k. What is the remainder when k is divided by 39?
32
Calculate the remainder when 1*20*(2 - 60/(-24)) is divided by 47.
43
Let r = 17 - -11. Suppose -5*i + 14 - 44 = -5*g, 5*g = -5. What is the remainder when r is divided by (-5*(8 + i))/(2/(-4))?
8
What is the remainder when 3/9*21 + 72/2 is divided by 28?
15
Let z(w) = 6*w**3 - 3*w**2 + 9*w - 12. What is the remainder when z(3) is divided by 14?
10
Suppose -z = -3*g + 69, 94 = 3*g + 4*z + 25. Calculate the remainder when 89 is divided by g.
20
Let g(r) = -r**2 - 14*r + 62. What is the remainder when 493 is divided by g(0)?
59
Let v be 20/(-6)*(-90)/75. Suppose v*a = -w + 42, -a = 4*a - w - 57. What is the remainder when 18 is divided by a?
7
Let r(y) = -139*y - 134. Calculate the remainder when r(-6) is divided by 39.
37
Let n be 2/(-9) - 208/36. Calculate the remainder when 18 is divided by 25/3 - 10/n.
8
Let a(p) = -15*p + 15. Let q be a(-7). Suppose -8*c + 3*c + 206 = l, 3*c - 3*l = q. Calculate the remainder when c is divided by 21.
20
Suppose -30*k + 85*k - 2268 = -71*k. What is the remainder when 158/6 - 3/9 is divided by k?
8
Let h(n) be the first derivative of -n**2/2 - n - 7. Let b be h(-5). Suppose -b*u + 56 = -4. What is the remainder when 29 is divided by u?
14
Suppose 7*f + 14 - 77 = 0. Suppose f = 3*w, -3*n = 2*n - w - 122. What is the remainder when 49 is divided by n?
24
Let b = -24 + 32. Suppose 0 = b*u - 7*u - 58. Suppose 3*w - 8*w = -100. Calculate the remainder when u is divided by w.
18
Let h be (1 + (-6)/4)/(4/(-72)). What is the remainder when 0 + (1 - h*-3) is divided by 10?
8
What is the remainder when (1 + -1 + 7)*1*17 is divided by 3?
2
Suppose 2*a - 3*h = -85, a - 4*h = -a - 82. Let i = a + 80. Calculate the remainder when 98 is divided by i.
32
Let b = 70 - 41. What is the remainder when 72 is divided by b?
14
Let y(g) = g**2 + 11*g + 21. Let v be y(-9). Suppose -3*w + 154 = s, -v*w - 2*s + 53 = -99. What is the remainder when w is divided by 18?
16
Let j = -2 - 0. Let n be (-486)/30*10/j. Suppose 4*c = c + n. What is the remainder when c is divided by 15?
12
Suppose h + 22 = 45. Calculate the remainder when 91 is divided by h.
22
Let g be (16 + -3 + 0)*1. Let j = g + -11. Calculate the remainder when 2 - j/((-4)/86) is divided by 16.
13
Suppose -103 = -2*o + j + 2*j, 0 = 3*o - 4*j - 155. Suppose 4*u + 165 = 17. Let k = o + u. What is the remainder when 29 is divided by k?
13
Suppose 6*k - 9*k + 123 = 0. What is the remainder when 109 is divided by k?
27
Suppose -16*h - 3086 = -13294. What is the remainder when h is divided by 71?
70
Let z = -3 + 9. Suppose -2*k = -z - 2, -x + 22 = 4*k. Suppose 4*p - 11 = -q, -x = -5*q + p + 28. What is the remainder when q is divided by 4?
3
Let r(b) = 15*b. Let h be r(1). Let q = 20 - h. Suppose 18 = -2*f + 54. What is the remainder when f is divided by q?
3
Let x = 143 + -71. Let h = 122 - x. What is the remainder when h is divided by (-12)/(-20) - 186/(-15)?
11
Suppose 2*c - 190 = 3*q, -2*c + 39 = -2*q - 147. Calculate the remainder when c is divided by 37.
15
Let r(l) = -l**3 - 15*l**2 - 29*l + 16. Calculate the remainder when r(-13) is divided by 9.
1
Let l(o) = -o**3 - 12*o**2 - 26*o - 42. Calculate the remainder when (30/25)/((-3)/(-220)) is divided by l(-10).
16
Suppose 0 = 17*j + 7*j - 672. Calculate the remainder when 139 is divided by j.
27
What is the remainder when 4 is divided by 7 + 8/((-56)/21)?
0
Let a(p) = 33*p + 597. Calculate the remainder when 203 is divided by a(-17).
23
Calculate the remainder when 177 is divided by 2314/39 + (-6)/(-9).
57
Suppose -811 = 6*k - 10*k + 5*l, -25 = -5*l. What is the remainder when k is divided by 66?
11
Let l(k) = 3*k - 6. Let o be l(2). Suppose -2*f = -o*f - 28. Let x(j) = -j**3 - 5*j**2 - 3*j - 1. Calculate the remainder when x(-6) is divided by f.
11
Suppose 46*x - 49*x + 54 = 0. Calculate the remainder when 124 is divided by x.
16
Let k be (-5)/(1 + (-2)/1). Let b(p) = -7 + 7*p**3 + k*p + 9*p**2 + 6*p - 8*p**3. What is the remainder when 8 is divided by b(10)?
2
Suppose -5*z + 25 = -105. Suppose 4*i = 4*m + 56, -3*m = -2*m + i + 10. What is the remainder when z is divided by ((-21)/m)/(1/4)?
5
What is the remainder when 74 is divided by -2 - -9 - (-22)/2?
2
Suppose 5*c = 74 + 21. Calculate the remainder when c is divided by ((1 - -39)/4)/(1 + 1).
4
Suppose 2*c + 4*g - g - 150 = 0, -4*g - 86 = -c. Suppose -156 = -5*o + 7*o. Let r = -38 - o. What is the remainder when c is divided by r?
38
Let t = -22 + 25. Suppose 3*l = -2*l - t*u + 762, 4*l + 5*u = 607. What is the remainder when l is divided by 22?
21
Let p = -3 + 10. Let t(w) = w**2 + 19*w + 24. Let v be t(-18). Suppose 4*u = v*u - 22. Calculate the remainder when u is divided by p.
4
Suppose 0 = -3*q - 5*z - 37 + 11, -4*q + 5*z = 23. Let k be 0 - (-7)/49*-7. What is the remainder when 4 is divided by ((-32)/(-112))/(k/q)?
0
Suppose 5*q - 12 = -t - 2*t, 5*t = 5*q + 20. Suppose -m + 4 - 60 = -t*y, -m = -y + 14. Calculate the remainder when y is divided by 5.
4
Let w(j) = -j**2 - 29*j - 59. Calculate the remainder when w(-25) is divided by 7.
6
Suppose -3*a = -2*o + 188, 0 = -2*o + 6*o - 2*a - 368. What is the remainder when 269 is divided by o?
87
Suppose 164 = -16*w + 3860. Calculate the remainder when w is divided by 26.
23
Suppose 45*c + 47 = 407. Calculate the remainder when 532 is divided by c.
4
Let p(y) = -12*y + 11. Let r = 32 - 39. Calculate the remainder when p(r) is divided by 12.
11
Let t(a) = -23*a - 87. What is the remainder when t(-8) is divided by 33?
31
Let i = -1370 + 1379. Let h = 3 + -1. What is the remainder when i is divided by h?
1
Let m = 13 + -13. Suppose 5*c - 35 = 5*l, -c - 4*l + m*l - 8 = 0. What is the remainder when 4 is divided by c?
0
Let x be (-130)/(-90) - (-4)/(-9). Calculate the remainder when 4/x - 2*(-102)/4 is divided by 7.
6
Let a(g) = g**3 - 12*g**2 + 3*g - 12. Let r be a(12). Let p = 47 - r. Calculate the remainder when p is divided by (3 - 0)/(3/5).
3
Let x be (3 - (3 + -1)) + 1. Suppose 2*v = -0*v + 2*o + 28, 3*v = x*o + 45. Calculate the remainder when 32 is divided by v*(-1 - (-1 + -1)).
15
Let f(p) = -2*p - 8. Let q be f(-10). Let h be 24/14*210/q. Suppose 2*t - 4*a = -0*a + 48, 0 = -2*t - 2*a + h. What is the remainder when t is divided by 11?
7
Let d = 124 + -36. Calculate the remainder when d is divided by 25.
13
Let r be 3/5 + (-105)/(-75). Suppose -72 + 182 = r*u + 4*t, 275 = 5*u - t. What is the remainder when 105 is divided by 1*(1 - u)/(-2)?
24
Let d(u) = -u**3 - 9*u**2 + 9*u - 2. Let j be d(-10). What is the remainder when (-1)/(5/(-60))*2 is divided by 21/2*j/6?
10
Let h(n) = -4*n**2 + 27*n - 22. Calculate the remainder when 93 is divided by h(4).
5
Let o be ((-14)/(1 - -1))/((-2)/4). Suppose -o*g + 110 = -30. What is the remainder when 86 is divided by g?
6
Let x(o) = -66*o - 3675. What is the remainder when (33/2)/((-1)/(-2)) is divided by x(-56)?
12
Let u(v) = 9*v + 2. Let a be ((-3)/2 - -2)*8. Calculate the remainder when u(a) is divided by 8.
6
Suppose 2*t = 4*t. Let x(l) = -l - 1. Let v be x(t). What is the remainder when v*3/(6/(-178)) is divided by 23?
20
Suppose -7*u - 219 + 282 = 0. What is the remainder when 49 is divided by u?
4
Suppose 4*a = 44 + 96. Suppose -u - a = -6*u. Calculate the remainder when u is divided by (3 + 3)/((-3)/(-2)).
3
Let p(w) = 6*w**3 - 2*w**2 - w + 2. Let d(m) = -m**2 + 34*m + 309. Calculate the remainder when d(38) is divided by p(2).
37
Let q(v) = v**2 + v + 3. Let k be q(0). Let l(d) = d**2 - 3. Let f(c) = 1. Let s(i) = 5*f(i) + l(i). Calculate the remainder when 30 is divided by s(k).
8
Let l(u) be the third derivative of u**5/15 - u**4/12 + 11*u**3/6 + 30*u**2. What is the remainder when l(-6) is divided by 42?
41
What is the