ainder when 318*(6 + -1)/15 is divided by (8/6)/(2/27)?
16
Let q be (12/9)/((-3)/((-36)/8)). Suppose 0 = q*a + v - 23, 7*a = 2*a - 4*v + 65. What is the remainder when 16 is divided by a?
7
Let k be (-2)/3 + -5*(-856)/120. Suppose 3*m - 5*m = -w + 13, -3*w + 4*m = -k. Let s = -60 + 95. What is the remainder when s is divided by w?
8
What is the remainder when 4 + 55 + 5 - 0/(-1) is divided by 22?
20
Let a = -47 + 81. Suppose 4*s = 5*v + 516, -28*s + 26*s + 2*v + 260 = 0. What is the remainder when s is divided by a?
32
Suppose 5*k = 3*k + 14. Calculate the remainder when 26 is divided by k.
5
Suppose -5*z + 31 + 114 = 0. Let b = 53 - z. Let r = 136 + -43. Calculate the remainder when r is divided by b.
21
Suppose 5*b = 4*f - 814 + 74, 5*b = 0. Suppose 5*v - f = -0*v. What is the remainder when v is divided by 30*(25/(-15) - -2)?
7
Suppose 10*h = 12*h - 146. Suppose s - 19 = r - 0*r, 4*s = r + 64. What is the remainder when h is divided by s?
13
Suppose -2*c = -0*c + 4. Let w(t) = 26*t**2 - 6*t - 7. Calculate the remainder when w(c) is divided by 28.
25
Suppose -4*s = -4*a - 392, -2*s + s + 2*a + 103 = 0. What is the remainder when 180 is divided by s?
87
Suppose 3*p + 3 - 10 = o, p - 5 = 3*o. Suppose 5*i - 118 - 6 = p*m, 4*i - 4*m = 104. What is the remainder when 43 is divided by i?
19
Suppose -8 = -j + 18. Suppose 5*t - 2*k = j, 3*t - 5*k - 5 = 22. Suppose 43 = 5*z + t*y, -2*y = -5*z + y + 29. Calculate the remainder when 26 is divided by z.
5
Let a = 43 + 14. Calculate the remainder when a is divided by 12.
9
Suppose 113 = -5*z - 3*d, 3*z + 2*d = -d - 69. Let x = z + 27. Let l = 0 - -3. Calculate the remainder when x is divided by l.
2
Let d(j) = -j**3 + 3*j**2 - 2*j + 4. Suppose 9*n - 20 = -2. What is the remainder when d(n) is divided by 3?
1
Suppose -4*r + 11 = -9. Suppose -3*j + 38 = -2*k, -r*j + 2*k + 37 = -25. Suppose -21 - 14 = -5*v. What is the remainder when j is divided by v?
5
Suppose c - 3 = -6. What is the remainder when 142 is divided by c/((-3)/1) - -28?
26
Suppose 0 = -2*y + 5*c - 0 - 8, 3*y + c - 5 = 0. Suppose 58 = v + y. Calculate the remainder when v is divided by 15.
12
Let c(x) = x**2 + 2*x - 16. Calculate the remainder when 8/(-28) + 520/7 is divided by c(-7).
17
Let y(u) = 4*u**3 - 2*u**2 + 1. Let a be y(1). Suppose 8*j - 105 = a*j. Suppose -j*h + 17*h = -32. Calculate the remainder when 22 is divided by h.
6
Suppose 8*j - 96 = -0*j. What is the remainder when 130 is divided by j?
10
Suppose -m + 232 = 3*i, 5*m + 4*i = 9*m - 864. What is the remainder when m is divided by 47?
32
Let u(b) = 3*b**3 - 3*b**2 + 3*b - 1. Suppose -r + 21 = -3*z, -3*r + z + 46 + 33 = 0. Let h = r - 17. What is the remainder when u(2) is divided by h?
7
Let h(c) = -c**3 + 7*c**2 + c. Calculate the remainder when 0 - (10*(-4)/8 - 7) is divided by h(7).
5
Suppose 0 = -2*b - 2*b + 3*w + 211, 2*b - 5*w = 109. Calculate the remainder when b is divided by 11/55 + (-89)/(-5).
16
Let c be (3 + -3)/1 + 0. Suppose 4*w + 0*g + 4*g - 8 = 0, c = -4*w - 2*g + 6. Calculate the remainder when 3 is divided by w.
0
Let f be (6/(-9))/((-1)/3). Suppose -s + 45 = -2*a - 0*s, 0 = -5*a - f*s - 108. Let r = a - -36. Calculate the remainder when 123 is divided by r.
11
Suppose -2*g = -36 - 48. Calculate the remainder when g is divided by 19.
4
Let y(u) = u**3 - u**2 + 1. Let r(c) = -3*c**3 + 3*c**2 + 9*c + 4. Let l(k) = r(k) + 2*y(k). Calculate the remainder when l(-4) is divided by 17.
16
Let v = 17 - 11. Let c = 15 - v. What is the remainder when 12 is divided by c?
3
Suppose 111*k - 400 = 106*k. Let r = k + -5. Calculate the remainder when r is divided by 28.
19
Suppose -3*l - 45 = -0. Let x = l - 4. Let v = x - -33. What is the remainder when 53 is divided by v?
11
Let o(g) = -2*g - 1. Let s(d) = 35*d - 2. Let z(j) = 5*o(j) - s(j). Calculate the remainder when z(-3) is divided by 27.
24
Let s(i) = i**3 + 4*i**2 + i + 9. Suppose -4 = -3*w + 4*w. Let c be s(w). Suppose -c*x + 2*x = -276. Calculate the remainder when x is divided by 19.
16
Let u = 34 + -20. Suppose 1 = -4*n + 5*k - 11, 5*k = 20. Suppose n*m - 19 = -9. Calculate the remainder when u is divided by m.
4
Suppose -5*w + 27 = -33. Let f(u) = 11*u - 27. What is the remainder when f(10) is divided by w?
11
What is the remainder when 21 is divided by 8 + 3/(30/70)?
6
Let k(f) = f**2 - 7. Let m be k(0). Let v = 20 + m. What is the remainder when (1 - (-7)/(-5))*-95 is divided by v?
12
What is the remainder when -3*3/(-72) + 4472/64 is divided by 6?
4
Let c(q) = -3*q**2 - 4*q + 10. Let d = -2 - 2. Let n(j) = 8*j**2 + 11*j - 29. Let y(s) = d*n(s) - 11*c(s). Calculate the remainder when 16 is divided by y(0).
4
Let i(c) = -3*c**3 - 4*c**2 - 5*c - 1. Let z(a) = -2*a. Let q be z(-4). Suppose -2 = r - q. Calculate the remainder when i(-2) is divided by r.
5
Suppose d + 6*f = 68, 95 = 2*d + f - 85. What is the remainder when d is divided by 19?
16
Let y = 367 + -176. Suppose d = -2*d + 315. Let r = y - d. What is the remainder when r is divided by 22?
20
Suppose -5*n + 4*x = -186, 5*n - 96 = -3*x + 62. Calculate the remainder when n is divided by 13.
8
Let d be ((-63)/6)/(-3)*2. Let j(l) be the second derivative of l**5/20 - 2*l**4/3 + 3*l**3/2 - l**2 - 24*l. Calculate the remainder when 45 is divided by j(d).
9
Let d(y) = -y**3 + 14*y**2 + 32*y + 13. Let g(x) = 8*x**3 - x + 1. What is the remainder when g(2) is divided by d(16)?
11
Let y(o) = 7*o**2 + o. Let n be y(1). Suppose 0 = -n*s + 3*s + 15, x - 3*s + 11 = 0. Calculate the remainder when (36/8 - x)*6 is divided by 14.
11
Suppose 6*q + 504 = 10*q + 4*r, 3*q - 385 = 4*r. Calculate the remainder when q is divided by 44.
39
Suppose -13*l - 106 = -340. Suppose -v + 705 = 4*v. What is the remainder when (-1)/2 - v/(-2) is divided by l?
16
Let v = 2 + -31. Let q = -23 - v. What is the remainder when (-4)/6 - (-172)/6 is divided by q?
4
Suppose -310*o + 8154 = -836. Let k(c) = -c**3 - 2*c**2. Calculate the remainder when o is divided by k(-3).
2
Let s = 21 - 20. Suppose n - s = 9. Suppose 0 = -w + 4*w + o - 56, 5*o = n. Calculate the remainder when 69 is divided by w.
15
Let n be ((-26)/(-5) + -4)*-5. Let v(c) = 2*c**2 + 9*c + 9. Let o be v(n). Suppose -4*j = -153 - o. What is the remainder when j is divided by 23?
22
Suppose -n - v + 2 = 0, 4*n - 5*v - 35 = -0. Suppose -n*o + 28 + 7 = 0. Suppose 5*a = 157 - 27. What is the remainder when a is divided by o?
5
Let g(m) be the first derivative of -4*m**3/3 - 7*m**2 - 2*m - 43. What is the remainder when 5 is divided by g(-3)?
1
Let x = 28 - 21. Suppose 2*r - x*r + 55 = 0. What is the remainder when r is divided by 6 + -3 - (0 + -1)?
3
Let a = -2465 - -2481. Suppose -4 = 2*i - 3*q - 76, 3*q = -12. Calculate the remainder when i is divided by a.
14
Let w = -906 - -922. Suppose -4*v + 41 = -11. What is the remainder when w is divided by v?
3
Let g(p) = -11*p - 3. What is the remainder when 177 is divided by g(-3)?
27
Suppose -3*h + 16 = 5*d - 144, 5*d = -4*h + 155. Calculate the remainder when 2972 is divided by d.
32
Calculate the remainder when -1*(-1)/(-2) - 975/(-10) is divided by 4/18 + (-534)/(-27).
17
Let i(v) = v + 3. Suppose 0 = 2*c - 5*r + 2*r - 61, 4*c - 107 = r. What is the remainder when c is divided by i(7)?
6
Suppose 5*t - 5*b - 975 = 0, -2*b = -3*t + 531 + 50. Suppose t = 5*d + 2*v - 40, -3*v - 126 = -3*d. Calculate the remainder when d is divided by 24.
21
Let v(s) = s + 49. Let m = -130 + 121. What is the remainder when v(m) is divided by 2?
0
Let l = -112 - -149. Calculate the remainder when l is divided by 22.
15
Let i = -71 + 200. What is the remainder when i is divided by 53/2 + (-1)/2?
25
Suppose -15*c - 7*c + 9130 = 0. What is the remainder when c is divided by 20?
15
Let j = -91 + 158. Suppose 3*r - 72 = -5*s + 13, 38 = 2*s + 2*r. Calculate the remainder when j is divided by s.
11
Let f(l) = 10*l - 73. Calculate the remainder when f(12) is divided by -3 + 1 - (-14 + 0).
11
Suppose 0*r + 6 = -2*r + 2*o, -r + 3*o = 9. Calculate the remainder when 1464/(-36)*(r - 3) is divided by 18.
14
Let x be (-2)/(-4)*(1 + -1). Let y = 20 + -12. What is the remainder when (x - 32 - -2)/(-1) is divided by y?
6
Let m = -1930 - -2419. Calculate the remainder when m is divided by 17.
13
Suppose -10*f + 2 = -9*f