x = -27 + 41. Calculate the remainder when y(-6) is divided by x.
11
Let g = 12 - -1. Let a be (-7)/(-2 - 15/(-9)). Suppose -2*i + o + a = -g, -i + o = -18. Calculate the remainder when 45 is divided by i.
13
Let p(r) = -r**2 - 11*r + 5. Calculate the remainder when 100 is divided by p(-6).
30
Suppose -5*c - 5*j + 295 = 0, -2*c + 185 = c - 5*j. Let i = c - 42. Calculate the remainder when 30 is divided by i.
12
Let k be (-1 + (-15)/(-10))*0. Let y = 12 + k. What is the remainder when 28 is divided by y?
4
Let j be (1/3)/((-17)/459). Let w be (-100)/(-6)*j/6. Let q = w + 42. Calculate the remainder when 32 is divided by q.
15
Let w(l) = -l**2 + 20*l + 8. What is the remainder when 36 is divided by w(0)?
4
Suppose 16 = -g + 5. Let r(x) = -x - 15. Let f be r(g). Calculate the remainder when (-6)/(-4) - 126/f is divided by 9.
6
Let k(l) = 28*l - 84. Calculate the remainder when 136 is divided by k(4).
24
Suppose 150 = 3*y - 15. Let m(v) = v**3 + v**2 - 2*v + 2. Let k be m(-4). Let s = k + y. Calculate the remainder when 66 is divided by s.
15
Let c = 8 - 1. Suppose -55 = -8*r + 17. Calculate the remainder when r is divided by c.
2
Suppose 3*m = 4*m - 15. Let w(o) be the third derivative of -o**4/6 - 7*o**3/6 + o**2. What is the remainder when w(-9) is divided by m?
14
Let t be 4/4 + -1 + 1. Let u = t + 22. What is the remainder when 68 is divided by u?
22
Let z(k) = k**3 + 8*k**2 + 6*k + 1. Calculate the remainder when z(-3) is divided by 11.
6
Suppose -464 = -10*i + 6. Calculate the remainder when 340 is divided by i.
11
Let h = 98 - 87. What is the remainder when 86 is divided by h?
9
Let n = 62 + 85. What is the remainder when n is divided by 17?
11
Suppose 35*q - 34*q - 1 = 0. Calculate the remainder when q is divided by 1.
0
Let f(o) = 5*o**2 - 4*o + 7. What is the remainder when f(4) is divided by 19?
14
Suppose -5*k = 8*t - 3*t - 195, 2*t - 58 = 3*k. Let u = t + 52. Suppose 9*b - u = 6*b. What is the remainder when b is divided by 10?
9
Let a = -1153 - -1198. What is the remainder when 131 is divided by a?
41
Let k(r) = 67*r**2 + 29*r + 30. What is the remainder when k(-1) is divided by 28?
12
Suppose 0 = -32*f - 72 + 360. What is the remainder when 129 is divided by f?
3
Let n(x) = -x**3 + 6*x**2 + 2*x + 2. What is the remainder when n(5) is divided by 14?
9
Let a be (2 - 28/8)/((-6)/8). Suppose 0 = 5*o - a*k + k - 144, -3*o = -4*k - 100. What is the remainder when 53 is divided by o?
25
Suppose 3*m = 5*l + 7*m - 247, 5*l - 261 = 3*m. Suppose 3*z - 12 = -3*b, 0 = -3*b + 2*z - 4*z + 17. Calculate the remainder when l is divided by b.
6
Suppose 118 + 20 = 2*h. Calculate the remainder when ((-152)/(-9) - 0) + 23 + 7622/(-333) is divided by (-4)/(-10) + h/15.
2
Suppose -3*k = -i + 58, 5*i = -2*k - 31 + 236. Calculate the remainder when 216 is divided by i.
1
Suppose 14 = 3*u - 2*p - 2*p, -3*u + 3*p + 15 = 0. Let b(t) = -3*t + 14. Let m be b(u). Calculate the remainder when 37 is divided by 1/((12/(-57))/m).
18
Let g(p) = p**3 + 21*p**2 + 22*p + 7. Let q be g(-20). Let c = q - -37. What is the remainder when 19 is divided by c?
3
Suppose -79*m - 26 = -81*m. Calculate the remainder when 400 is divided by m.
10
Calculate the remainder when 356 is divided by (-3728)/(-176) + 8/(-44).
20
Let o(l) be the first derivative of -15*l + 6 + 17/2*l**2 - 1/3*l**3. What is the remainder when o(15) is divided by 4?
3
Let o(f) = -8*f**3 - f + 1. Let z be o(-2). Suppose -3*c - 13 = -z. What is the remainder when 51 is divided by c?
15
Let x(m) = m + 46. Calculate the remainder when 165 is divided by x(-25).
18
Suppose -2*z + 3*z = 32. Let i(k) = k**3 + 9*k**2 + 7*k + 3. Let j be 1*(2 + -14 - -4). Calculate the remainder when z is divided by i(j).
10
Let s be -1 + 32 + (-1)/(1 - 0). Suppose 110 = 5*c - s. Suppose -3*o + 0*o = -3*j + 153, 5*j - 273 = -4*o. Calculate the remainder when j is divided by c.
25
Suppose 0 = -2*u + 2, -8*t + 6*t - 2*u + 70 = 0. Calculate the remainder when 916 is divided by t.
32
Suppose -4*i = -30 - 18. Suppose 5*m - 14 = 2*a + 2, -i = -4*a - m. Suppose 3 + 17 = 5*h. What is the remainder when h is divided by a?
0
Let z = 6 + 11. Let w = 26 + z. What is the remainder when 83 is divided by w?
40
Let u = 764 - 210. What is the remainder when u is divided by 108?
14
Suppose -2*d - 2*d - 4*f - 4 = 0, 1 = 3*d + 2*f. Let z(q) = -q + 15. Calculate the remainder when d is divided by z(12).
0
Let d(j) = 30*j**3 + 3*j**2 + j - 2. Let a be d(-2). Let u(m) = -15*m**3 - 2*m**2 + m + 2. Calculate the remainder when 4/18 + a/(-9) is divided by u(-1).
12
Let w(a) be the third derivative of a**6/120 + 7*a**5/30 + 5*a**4/24 + 7*a**3/6 - 13*a**2. What is the remainder when w(-13) is divided by 23?
19
Let g(c) = 6*c - 23. Let t be g(12). Let b = -11 + t. Calculate the remainder when 151 is divided by b.
37
Suppose 0 = -2*x - 4, 3*o - 55 - 92 = -3*x. Calculate the remainder when o is divided by 11.
7
Calculate the remainder when 228 is divided by (30*10/(-15))/(-2).
8
Let a(x) = 4*x**2 + 20*x + 6. Let k be a(-5). Calculate the remainder when (-2)/(k/(-165)*15/21) is divided by 10.
7
Let w = -350 - -470. What is the remainder when w is divided by 22?
10
Let f = -31 - -36. Suppose -f*k - 135 = -10*k. Calculate the remainder when 53 is divided by k.
26
Let w = -99 + 175. Suppose -5*y - 4*t = -215, 15*y - 16*y - 5*t + 64 = 0. What is the remainder when w is divided by y?
37
Let q = -13 - -13. Suppose -12*r + 8*r = q. Suppose 3*a + m - 140 = r, 2*a + 5*m = -2*a + 205. What is the remainder when a is divided by 16?
13
Suppose 4*u = 5*u - 5. Let z(a) = -a**3 + 5*a**2 + 3. What is the remainder when z(u) is divided by (-48)/12*1/(-2)?
1
Suppose 12*y = 7*y. Suppose -g + 4*g - 54 = y. Calculate the remainder when g is divided by 10.
8
Suppose 2*n - 83 = -9. Calculate the remainder when 443 is divided by n.
36
Suppose -4*c - k = -16, 4*c - k - 7 = 1. Suppose -g - c*g + 280 = 0. What is the remainder when g is divided by 15?
10
Let n(m) = 6*m + 3. Let d be n(-2). Let c = d - -21. Suppose 5*s - 5 = 110. What is the remainder when s is divided by c?
11
Suppose 0 = 3*h - 4*c - 3 - 17, 2*h = -4*c. Let k(l) = -l**3 - 6*l**2 - 8*l - 3. What is the remainder when k(-5) is divided by h?
0
Let n(a) = -a**3 + 12*a**2 + 3*a - 14. Let h be n(12). Let g = h - 17. Suppose 6*w = g*w + 26. Calculate the remainder when 50 is divided by w.
24
Suppose 0 = 9*q - 816 - 534. What is the remainder when q is divided by 40?
30
Let u = 169 + 98. What is the remainder when u is divided by 3?
0
Suppose -3*l + 110 = 2*l - 5*a, l - 25 = 2*a. What is the remainder when 71 is divided by l?
14
Let d = -467 + 516. Calculate the remainder when d is divided by 32.
17
Let r(p) = 11*p**2 - 4*p + 5. What is the remainder when 43 is divided by r(1)?
7
Let o = 742 - 722. What is the remainder when 44 is divided by o?
4
Let k(c) = 4*c. Suppose 11 = -5*o + 2*b + 36, -4*b - 1 = -3*o. Let g = 10 - o. What is the remainder when 46 is divided by k(g)?
10
Let i be (-1)/2 - (-291)/6. Let w = i - 12. Suppose 160 = 4*x - 2*b - w, 27 = x + 5*b. Calculate the remainder when x is divided by 13.
8
Suppose 125 = 2*s - 65. Suppose -2*n + s = -b - 0*b, -3*b - 101 = -2*n. Calculate the remainder when (7/(-7))/((-2)/n) is divided by 13.
10
Let w = -14 - -16. Suppose 7*o = 2*o + w*k - 253, 200 = -4*o + k. Calculate the remainder when (o/14)/((-2)/28) is divided by 17.
15
Let c = 260 - 143. Suppose -2*n = 3*k + n - c, -2*k + 78 = -n. Calculate the remainder when k is divided by 10.
9
Suppose -6*t - 6*t + 132 = 0. Calculate the remainder when 33 + (9/3 - 6) is divided by t.
8
Let p(t) = -11*t + 3. Let u be p(-1). Calculate the remainder when (-2)/9 - 38/(-9) is divided by 2 + u/(-8) + (-54)/(-72).
0
Let o be 1/(1 - (-24)/(-27)). Suppose -14*x + 410 = -o*x. Suppose 3*l - u - x = 0, l + 4*l - 130 = -5*u. Calculate the remainder when l is divided by 7.
6
Let w = -11 + 39. Suppose -16*f = 61 + 83. Let h = f + w. What is the remainder when 55 is divided by h?
17
Let x(i) = -i**3 + 18*i**2 - 51*i - 27. What is the remainder when x(14) is divided by 2?
1
Suppose 3*k + 0*p + 2*p - 85 = 0, -2*k - 3*p + 60 = 0. Let t = -6 + k. Calculate the remainder when 41 is divided by t.
20
Let b = 11 + -51. Let y = 4 - b. What is the remainder w