 What is the remainder when 1 + 2 - (-40 - j) is divided by 15?
13
Let a = 13 + -8. Suppose w = -2*w + 12. Suppose r + u - 11 = 0, 27 = 3*r + w*u - 4. What is the remainder when r is divided by a?
3
Suppose 0 = -3*x + 84 + 21. Suppose -8 + x = m. Calculate the remainder when m is divided by 14.
13
Suppose -2*s + 28 = x, -2*s + 28 = -x + 3*x. What is the remainder when 108 is divided by s?
10
Let y be (-2)/3*(-24)/2. Let t = y - -3. What is the remainder when t is divided by 4?
3
Let c(h) = -53*h - 3. Calculate the remainder when c(-2) is divided by 15.
13
Let o = -4 - -4. Suppose -n = 5*c - o*c - 63, 4*n + 4*c = 172. Calculate the remainder when n is divided by 10.
8
Suppose -4*v + h + 87 = 0, h + 3 + 0 = 0. What is the remainder when v is divided by 8?
5
Let q(d) = d**3 + 14*d**2 + 12*d + 3. Calculate the remainder when q(-13) is divided by 10.
6
Suppose 56 + 2 = 2*k. What is the remainder when 57 is divided by k?
28
Suppose -3*d + 57 = -5*a - 4, 63 = 4*d - 3*a. What is the remainder when d is divided by 7?
5
Let s = 0 + 4. Suppose -x + 200 = s*x. What is the remainder when x is divided by (4 + -1)*(-42)/(-9)?
12
Let v be (2 - (3 + -1))*1. Let j be 1*(2 - v/1). Suppose j*x + 2*x = 36. What is the remainder when 34 is divided by x?
7
Suppose 5 = -5*u, 5*u + 2 = -y - 1. Suppose 5 = 5*n + x + 1, 20 = 4*n + 5*x. Let m = 4 - n. Calculate the remainder when m is divided by y.
0
Let s(k) = -2*k**2 + 5*k + 3. Let n be s(-3). Let r = 10 + n. Let l = r - -40. What is the remainder when l is divided by 7?
6
Suppose -4 = -4*k, 0*k = 5*m + 3*k - 53. Suppose 5*r - 22 = -5*u + 18, -5*u = -4*r - 40. Suppose 3*v - u = v. What is the remainder when m is divided by v?
2
Let q = 54 + -43. Calculate the remainder when q is divided by 6.
5
Suppose -3*d + 7*d - y = 780, -3*y = -12. Suppose l - d = -3*l. Let u(q) = -q**3 - 24*q**2 - 114*q - 19. What is the remainder when l is divided by u(-6)?
15
Suppose 37 + 195 = 4*l. Calculate the remainder when l is divided by 15.
13
Let f(s) = 6*s**3 - 3*s**2 + s + 1. Let b = 54 - 38. Calculate the remainder when b is divided by f(1).
1
Suppose -n = 4, 4*v + 2*n - 3 = 9. Suppose 0 = -3*j + v*q - 29 + 144, -3*j = 5*q - 95. What is the remainder when j is divided by 12?
11
Let k(q) = 2*q**2 - 6*q - 3. Calculate the remainder when 65 is divided by k(6).
32
Suppose 5*s + l = -4, 0 = -4*s + 4*l + 16. Let j = s - -6. Suppose -5*i + 55 = 5*o, 0 = o + 3*o. What is the remainder when i is divided by j?
5
Calculate the remainder when (-13 - -23) + 2 + 2 is divided by (-12)/10*(-40)/6.
6
Let w be 6*((-50)/(-6) - 3). Suppose -3*g + 5*d + 48 = 4*d, 2*g = 3*d + w. What is the remainder when 46 is divided by g?
14
Suppose -14*u + 9*u + 370 = 0. Calculate the remainder when u is divided by 15.
14
Let q = 0 - -59. Calculate the remainder when q is divided by 10.
9
Let l = 10 + -10. Calculate the remainder when l + 29 + (4 - 1) is divided by 11.
10
Let a(h) = h**3 + 29*h**2 - 32*h - 37. Calculate the remainder when 44 is divided by a(-30).
21
Suppose 5*f = 2*a - 10 - 10, 5*a - 5*f - 35 = 0. Suppose -a*l + 22 = -3*l. Let u(c) = 4*c - 4. Calculate the remainder when u(6) is divided by l.
9
Let d be -1 + (-2 - -5)/(-3). Calculate the remainder when d/(-3) - (-32)/6 is divided by 4.
2
Let t(g) = g**3 - 3*g**2 - 3*g - 6. Let v be t(6). Suppose -v = -2*k - 26. Calculate the remainder when k is divided by 8.
5
Suppose 0 = v - 30 - 4. Let l = v - 23. What is the remainder when l is divided by ((-12)/(-9))/((-1)/(-3))?
3
Suppose -z + 12 + 28 = 0. What is the remainder when z is divided by (88/(-40))/(2/(-10))?
7
Let v(k) = k**2 - 4*k - 8. Let p be v(6). Suppose 4*z + p*i = 6*i + 88, 88 = 4*z - 4*i. Calculate the remainder when z is divided by 12.
10
Suppose -3*k - 2*k = -60. Suppose -3*f + 6*f - 3*p = 66, 0 = 4*p. Calculate the remainder when f is divided by k.
10
Let l(b) = b**3 + 5*b**2 + b - 8. What is the remainder when 11 is divided by l(-4)?
3
Suppose -a = 4*v - 15 - 17, -3*v + 180 = 4*a. Suppose -168 + a = -3*y. What is the remainder when y is divided by 21?
19
Let j(u) = -2*u - 4. Suppose -s - 5 = c, -4*c - s = -5*s + 60. Calculate the remainder when 47 is divided by j(c).
15
Suppose -30 + 143 = 5*i - 4*s, 63 = 3*i - 4*s. Calculate the remainder when 123 is divided by i.
23
Suppose 45 - 25 = 4*v. Let h = 2 + 0. What is the remainder when v is divided by h?
1
Suppose -12 = 2*t - 6. Let r = 13 - t. What is the remainder when 44 - (-1 + -1)*1 is divided by r?
14
Let h = 4 - 0. Suppose 5*t = -g - 13, 5*g = h*t + 12 + 68. Suppose -5*u = -19 - 16. What is the remainder when g is divided by u?
5
Let i(p) = -2*p + 2. Suppose 0*x = -2*x - 4. Calculate the remainder when 10 is divided by i(x).
4
Let z(n) = n**3 + 5*n**2 + 3. Let j = -2 + -3. What is the remainder when 5 is divided by z(j)?
2
Suppose 4*m - 6 = 10. Suppose 4*c = x - c - 58, -m*x = 5*c - 132. Suppose -k = -3*k + x. What is the remainder when k is divided by 7?
5
Suppose -4*h + 2*j + 32 = 0, -h + 5*h - 3*j - 36 = 0. Suppose -h - 6 = -4*m. Calculate the remainder when 5 is divided by m.
2
Suppose -i + 21 = -0*i. Calculate the remainder when (-1 - -80) + 4/2 is divided by i.
18
Let t = 20 + -18. What is the remainder when t is divided by 2/4 - (-1)/2?
0
Let o(r) = r**3 + 5*r**2 - 6*r. Let p be o(-6). Let z = 27 + p. What is the remainder when z is divided by 14?
13
Suppose -15 = -i - 2*i, -3*d - 4*i + 38 = 0. Calculate the remainder when 17 is divided by (40/d)/((-6)/(-9)).
7
Suppose 4*u = 3*i + 75 + 264, 5*u - 422 = 2*i. What is the remainder when u is divided by 29?
26
Let v = 5 + -1. Suppose 9 = -v*w + 7*w, -2*x - 3*w + 1 = 0. Calculate the remainder when ((-15)/x)/(6/64) is divided by 14.
12
Suppose l = 5*a - 115 - 83, -2*l = -4. Calculate the remainder when a is divided by 21.
19
Let c(x) = x**2 + 1. Let a(o) = -o**3 + 3*o**2 + 5*o + 1. Let w(g) = a(g) + c(g). Calculate the remainder when 4 is divided by w(5).
0
Suppose -2*g + 3*g - 3*s = 30, 2*g = 5*s + 55. What is the remainder when 57 is divided by g?
12
Calculate the remainder when (2 - -4) + 1/1 is divided by 4.
3
Let u(s) = s**2 + 18*s - 11. Calculate the remainder when u(-22) is divided by 20.
17
Let s be ((-2)/6)/(2/(-30)). Suppose i + 4*i - 85 = -s*j, -5*j = 3*i - 85. Calculate the remainder when j is divided by 18*((-10)/4)/(-5).
8
Suppose -b = -7*q + 4*q - 76, -2*q - 2*b = 48. Let t = q - -39. Calculate the remainder when 40 is divided by t.
12
Suppose 5*l - p = -0*p + 64, 2*l + 4*p = 8. Let j = 59 + -115. Let g = j + 90. Calculate the remainder when g is divided by l.
10
Let f(w) = 2*w + 4. Let n be f(3). Calculate the remainder when 23 is divided by (52/n)/(6/15).
10
Let r = 48 + -30. Let c = 16 + r. What is the remainder when c is divided by 9?
7
Suppose -4*p + 6 + 6 = 0. Let s(y) = 10*y - 30. Calculate the remainder when s(4) is divided by p.
1
Let j = 200 - 114. Let u = -45 + j. Suppose l - 34 = -13. Calculate the remainder when u is divided by l.
20
Suppose 3*q = -6, 3*m + 2 = m + 2*q. Let p be m/((-12)/22)*2. Let u = -2 + p. What is the remainder when u is divided by 5?
4
Let g be -3*41*8/(-24). Let b = -29 + g. What is the remainder when 23 is divided by b?
11
Suppose -d + 55 = -p, -2*d + 5*p - 117 = -4*d. Suppose 7*m - 3*m - d = 0. Calculate the remainder when 53 is divided by m.
11
Calculate the remainder when (-18)/(-54) + 478/6 is divided by 22.
14
Let n = -8 - -13. Calculate the remainder when 27 is divided by n/(-10) - (-30)/4.
6
Suppose -g + l + 23 = -0*l, -3*l = -2*g + 50. What is the remainder when 33 is divided by g?
14
Suppose 100 = 2*f - 4*q, -5*q = -0*q - 5. Calculate the remainder when f is divided by 14.
10
Suppose t - 6*t + 190 = 0. Let j = t - 4. What is the remainder when 65 is divided by j?
31
Suppose 2*t + 5 = -5. Let i = t + 6. Calculate the remainder when (-10)/3*(-2 - i) is divided by 6.
4
Let t(l) = 5*l + 4. What is the remainder when t(5) is divided by (-132)/154*56/(-6)?
5
Suppose -6 = -v + 3*n, -3*v = 2*n + n - 78. What is the remainder when 81 is divided by v?
18
Suppose 3 - 75 = -3*m. Let n = 36 - m. What is the remainder when 21 is divided by n?
9
Suppose 47 = -o + 3*o + 5*x, o = -2*x + 24. Calculate the remainder when 77 is divided by o.
25
Suppose 0 = n - 6 + 12. Let m(r) = -r**2 - r +