is the remainder when 16 is divided by (-78)/(-27) - (-13)/117?
1
Suppose 0 = 31*b - 29*b - 124. What is the remainder when b is divided by 37?
25
Let m be (-54)/(-216) - (0 - (-278)/(-8)). Suppose -67 = -2*a + c, -4*a + 134 - m = 5*c. What is the remainder when a is divided by 7?
3
Let p(o) = -o + 120. Calculate the remainder when p(-22) is divided by 24.
22
Let s = 294 - 152. What is the remainder when s is divided by 47?
1
Let z be 0/5 + -3 + 34. Suppose -5*v + z = -v - i, i = -3. Calculate the remainder when 32 is divided by v.
4
Suppose -8*b + 227 - 147 = 0. Let i = 228 + -161. Calculate the remainder when i is divided by b.
7
Suppose -4*s + s + 114 = 0. Let f = -27 + 25. What is the remainder when s is divided by f*4/(-8) - -13?
10
Suppose 2*c - g + 8 = 0, -5*g - 25 = c - 10. Let j(n) be the second derivative of -4*n**3/3 + 5*n**2/2 + 7*n. What is the remainder when j(c) is divided by 24?
21
Let z(l) = 44*l + 53. Suppose 28 = 3*u - f - 178, 4*u = -4*f + 280. Calculate the remainder when u is divided by z(-1).
6
Suppose 5*g + 7*j - 22 = 6*j, 0 = j + 3. Calculate the remainder when 316 is divided by g.
1
Suppose 563 + 709 = 12*p. What is the remainder when p is divided by 6?
4
Suppose -12 = -5*j + d, 6*d - 5*d = 4*j - 9. What is the remainder when 31 is divided by j?
1
Suppose 7*p - 652 - 6 = 0. Calculate the remainder when p is divided by 20.
14
Let t = 1317 - 1298. What is the remainder when t is divided by 16?
3
Suppose 2*p + 5*i - 9 - 11 = 0, 3*p = 5*i + 30. Let l(s) = -s**2 + 37. What is the remainder when l(0) is divided by p?
7
Let u = -453 - -604. Calculate the remainder when u is divided by 17.
15
Calculate the remainder when 324 is divided by ((-71)/(-142))/(1 + (-109)/110).
49
Suppose 0 = 5*d + h - 387, 3*d + 3*h - 184 = 41. What is the remainder when d is divided by 16?
14
Let k be (-10)/(3/((-54)/4)). Suppose 51 = 5*x - 3*s - k, -30 = -2*x - 3*s. What is the remainder when (2/(-4))/(2863/(-714) + 4) is divided by x?
15
Suppose -5*n - 11 = 9, 5*t + 13 = 3*n. Calculate the remainder when 127 is divided by ((-256)/(-4))/(0 - 10/t).
31
Let g = 2 + 21. Suppose 11 = 5*x + 6. Suppose g - x = d. Calculate the remainder when 43 is divided by d.
21
Suppose 7*a - 4*a + 5*b - 30 = 0, 2*b + 9 = 3*a. What is the remainder when 59 is divided by a?
4
Let o(a) = -a**3 - 18*a**2 - 19*a - 8. Calculate the remainder when 29 is divided by o(-17).
3
Let b = 11 - 32. Let f = 21 - b. Let x = 2 + 9. Calculate the remainder when f is divided by x.
9
What is the remainder when (2 - 4)*-10*15/4 is divided by 13?
10
Let z(h) = -h**2 + 17*h - 3. Suppose 0*k + 3*k + 18 = 0. Let a(d) = d**3 + 6*d**2 - 3*d - 7. Let v be a(k). Calculate the remainder when z(v) is divided by 13.
11
Suppose -283 = -4*h + f, 2*f - 69 = -h + 4*f. What is the remainder when h is divided by (-27)/45 - 188/(-5)?
34
Suppose 0 = -y - 2, 4*m - y - 2*y - 338 = 0. Suppose 7*n - 8 = m. What is the remainder when n is divided by 9?
4
What is the remainder when (4 - 211/(-11)) + 12/(-66) is divided by 6?
5
Suppose 0 = 2*g + 7*i - 12*i - 211, -2*g + 4*i + 212 = 0. What is the remainder when g is divided by 52?
4
Suppose -117 = 19*i - 20*i. Suppose -3*t + i = 6*t. What is the remainder when 88 is divided by t?
10
Suppose -2*m = -4 - 16. Suppose -205 = 5*y - m*y. Let i = y - 27. Calculate the remainder when 26 is divided by i.
12
Calculate the remainder when (-7)/((-28)/(-930))*(-24)/30 is divided by 17.
16
Let a be (0 - 14/(-4))*(-2 - -4). Suppose -2 = -h - f, 5*f + 1 - a = -3*h. Calculate the remainder when 13 is divided by h.
1
Let a(g) = g**2 + 13*g - 30. Calculate the remainder when 187 is divided by a(-17).
35
Let m = 239 + -223. Calculate the remainder when 286 is divided by m.
14
Suppose -16*h - 4 = -84. Calculate the remainder when 7 is divided by h.
2
Calculate the remainder when (4 + 33/(-11))*75 is divided by (1 + (-38 - 1))*-1.
37
Let m(p) = -p**3 + 55*p**2 - 404*p - 68. Calculate the remainder when m(46) is divided by 92.
24
Let d = -53 - -20. Calculate the remainder when 4/(-22) + (-699)/d + -3 is divided by 12.
6
Let d(m) = 4*m - 3. Calculate the remainder when 269 is divided by d(4).
9
Suppose -i + 2 = -0*i. Suppose i*w - 308 = -2*w. Suppose 4*l = -w + 273. Calculate the remainder when l is divided by 13.
10
Let d be 9/(-3) + 2 - 6. Let x(o) = -o**3 - 7*o**2 + 8. Calculate the remainder when (-5 + (-51)/(-4))*4 is divided by x(d).
7
Suppose 12*h + 6*h = -2808. Let t = h + 181. What is the remainder when t is divided by 8?
1
Let a(t) = -75*t - 39. Calculate the remainder when a(-3) is divided by 51.
33
Let b be 1/(1/(-57)) + 2. Suppose 321 = 4*n - 47. Let y = n + b. Calculate the remainder when y is divided by 20.
17
Suppose 0 = -5*p - h + 1231, 4*h = -3*p + 9*h + 761. What is the remainder when p is divided by 14?
9
Let l = 13 - 9. Suppose 2*n = 4*n - l. Suppose -g + n*g - 14 = 0. Calculate the remainder when 40 is divided by g.
12
Let v = 8 + 0. Let w = 18 - 15. Suppose -l - l = g - v, -w*g = -2*l + 16. What is the remainder when l is divided by 3?
2
Suppose 0*v - v + 24 = 0. Suppose 0 = i - 5*i - v. Calculate the remainder when 21 is divided by (-27)/(-15)*(-20)/i.
3
What is the remainder when 396 is divided by (-8 - -12)/((-1)/(-10))?
36
Let b(l) = -5*l**2 - 5*l + 18. Let w(i) = -9 + i**2 + 3*i - 6*i**2 + 8*i**2. Let f(g) = 4*b(g) + 7*w(g). What is the remainder when 26 is divided by f(0)?
8
Let w = -843 + 871. What is the remainder when 145 is divided by w?
5
Suppose i = c - 22, 2*c - 7 = 5*i + 28. Let z = -7 + c. What is the remainder when (-1)/(0 - (-1)/(-71)) is divided by z?
17
Let x(q) be the first derivative of -q**4/4 + 8*q**3/3 + 3*q**2/2 - 3*q + 23. What is the remainder when 262 is divided by x(7)?
61
Let p = 392 - 360. Suppose 6*t - 4*t - 514 = 2*m, 0 = -3*m + 2*t - 772. What is the remainder when p is divided by 1/(-5) - m/15?
15
Let b be ((-6)/(-5))/(8/40). Suppose -56 = -b*s - 2*s. Calculate the remainder when 13 is divided by s.
6
Let c(g) = g**2 + 3*g - 16. Calculate the remainder when c(21) is divided by 70.
68
Let n(o) = o**3 - 20*o**2 + 55*o - 36. Calculate the remainder when 154 is divided by n(17).
26
Let l be 0 - ((-1 - 1) + -3). Suppose -l*y + 130 = 3*q - 31, -3*q = -4*y + 118. Calculate the remainder when y is divided by (-32)/3*9/(-6).
15
Let n(u) be the second derivative of -2*u**2 + 1/3*u**3 + u + 0. What is the remainder when n(5) is divided by 3?
0
Let t = 56 - -34. What is the remainder when t is divided by 37?
16
Let h = 92 + -44. What is the remainder when 164 is divided by h?
20
Suppose -6*z = z - 168. Let c be (3/(-4))/((-3)/36). Let t = 18 - c. Calculate the remainder when z is divided by t.
6
Let f = 17 + -13. Suppose 2*c - 8 = -f*v + 2*v, -3*v = -3*c + 12. Let l = 2 + c. What is the remainder when 20 is divided by l?
2
Suppose -18*t = -554 - 472. Calculate the remainder when t is divided by 33.
24
Suppose -291 = -4*c + 3*c + 2*u, -5*u = -10. Calculate the remainder when 308 is divided by c.
13
Suppose -2*s = -s - r + 8, s + 8 = 3*r. Let d(f) = -7*f + 31. Let t(i) = -10*i + 2. What is the remainder when d(s) is divided by t(-2)?
21
Let o = 65 + -107. Suppose 0 = 2*p - 5*p - 369. Let n = o - p. Calculate the remainder when n is divided by 14.
11
Let g(h) = h**3 + 16*h**2 + 23*h - 54. Calculate the remainder when 105 is divided by g(-14).
9
Suppose 38 = p + p. Let m(z) = 16*z - 3. Let x(f) = -4*f + 1. Let j(y) = -2*m(y) - 9*x(y). Calculate the remainder when p is divided by j(2).
4
Let s = 771 + -758. What is the remainder when 1466 is divided by s?
10
Let j(v) be the second derivative of v**5/20 + 3*v**4/4 - v**3/2 - 6*v**2 + 14*v. What is the remainder when j(-9) is divided by 8?
7
Let s = 500 - 491. Calculate the remainder when 229 is divided by s.
4
Let c(j) = 6*j + 49. Suppose 0 = 2*g - a - 37, 4*a + 46 = 2*g + 6*a. Calculate the remainder when g is divided by c(-7).
6
Let j(x) = -5*x - 38. Let f = -83 + 71. What is the remainder when j(f) is divided by 8?
6
Let v = 144 - 61. Suppose 3*o = -3*l - o + 61, -2*o = 5*l - v. What is the remainder when l is divided by 6?
3
Let b(q) = -10*q - 2. Let i be b(-2). Let y(h) = 0*h + 2*h - i + 6. What is the remainder when 47 is divided by y(12)?
11
Suppose -17*g + 48 + 139 = 0. Let d = 3 - 0.