r when m is divided by 23?
14
Suppose 0 = -2*k + l + 2*l + 76, -3*k + 128 = -l. Calculate the remainder when (-8)/36 - 785/(-9) is divided by k.
43
Let c(b) = -6 - 2*b**2 + 4*b**2 - 7*b + 7 - 20. What is the remainder when 98 is divided by c(-3)?
18
Let h = 502 + -477. What is the remainder when (-2)/(995/(-985) - -1) is divided by h?
22
Let b = -165 + 239. Calculate the remainder when 147 is divided by b.
73
Let w be ((-40)/(-12) + -2)*3. Let x be 1166/6 + (-2)/6. Suppose 0*u + 2*k + x = w*u, 0 = -u + k + 51. Calculate the remainder when u is divided by 12.
10
Suppose 3*v - 61 = 29. Calculate the remainder when (-224)/6*9/(-12)*4 is divided by v.
22
Suppose -3*c + 32 = 3*m - 8*c, -20 = -4*m + c. Suppose -453 = -m*o + 51. Let w = -12857 + 12889. What is the remainder when o is divided by w?
30
Let x(u) = -17*u - 233. What is the remainder when x(-31) is divided by 2?
0
Let f be (-55)/(-2)*4/5. Suppose 0 = -2*n + 2 + f. What is the remainder when 21 is divided by n?
9
Suppose -19*c = -11*c - 72. Calculate the remainder when 52 is divided by c.
7
Suppose 898 + 77 = 5*s. Let b = s - 132. What is the remainder when b is divided by 22?
19
Let i(u) = 2*u**2 - 5*u + 1. Let o be i(3). Suppose -5*x - o*m + 92 = 0, 3*x = -5*m - 24 + 74. What is the remainder when 41 is divided by (-88)/(-2)*5/x?
8
Suppose -1685 = -60*p + 16915. Calculate the remainder when p is divided by 50.
10
Suppose 0 = 4*o - o - 60. Let h(l) = l**3 - 6*l**2 - 15*l - 2. Let w = 8 - 0. What is the remainder when o is divided by h(w)?
2
Let z = 584 - 496. Calculate the remainder when z is divided by 28.
4
Let w(a) = 3*a + 1. Let c(l) = -2*l**3 + 18*l**2 - 15*l + 19. What is the remainder when c(8) is divided by w(3)?
7
Let m = -233 + 239. Let r(l) = -l**3 + 6*l**2 + 5*l - 19. Suppose -5 = 3*g + 10, 114 = 2*u - 2*g. Calculate the remainder when u is divided by r(m).
8
Let i(p) = -2*p**2 + 5*p. Let j be i(4). Let s = -10 - j. Suppose -3*y + s = -16. Calculate the remainder when 23 is divided by y.
5
Suppose p - 2*z = 6, 0 = 4*z + 10 - 2. Suppose -66 = -8*o - p. Suppose 18 = o*x + 2. Calculate the remainder when 5 is divided by x.
1
Let a be -15 - -26 - (-4)/(-1). Let c(w) = -w**3 + 6*w**2 + 8*w - 1. Let m be c(a). Suppose v - 16 = m. Calculate the remainder when 84 is divided by v.
18
Suppose 4*f = -2*f. Suppose f*b = 11*b - 363. Suppose -3*c + 30 = -24. What is the remainder when b is divided by c?
15
Let t(g) = -g + 8. Let x be t(3). Suppose 0 = m - 3*m - x*o + 9, 0 = 3*m + 2*o - 41. Calculate the remainder when 33 is divided by m.
16
Suppose 3*t + 2*l - 256 = 0, 0 = 5*t + l - 208 - 221. What is the remainder when 356 is divided by t?
12
Suppose -3*k = 5*s + k - 437, k = -2*s + 176. Calculate the remainder when s is divided by 13.
11
Let h be (168/140)/((-2)/(-10)). Let j(p) = 20*p - 63. Calculate the remainder when j(h) is divided by 15.
12
Let i(d) = -12*d + 6 + 29 + 10*d. Suppose 0 = -0*a + 2*a - 30. Calculate the remainder when a is divided by i(13).
6
Suppose -5*s + 8 = -22. Calculate the remainder when s is divided by (-6)/10*445/(-89).
0
Let m(f) = -f**2 - 18*f - 61. What is the remainder when m(-9) is divided by 12?
8
Let l(v) = -16*v - 18. Calculate the remainder when 194 is divided by l(-2).
12
Suppose v = -v - 44. Suppose -40*n + 87 = -37*n. Let b = n + v. Calculate the remainder when 25 is divided by b.
4
Let m = 759 + -321. What is the remainder when m is divided by 20?
18
Let v(q) = 2*q - 50. Calculate the remainder when 33 is divided by v(28).
3
Let a(m) = -m + 21. Calculate the remainder when 80 is divided by a(7).
10
Let l = 42 + -40. Suppose -2*s - s = -6. Suppose -x + 4*n = s*n - 24, 0 = l*n + 10. Calculate the remainder when 39 is divided by x.
11
Let c = 9 - 13. Suppose h - 5 = -4*h, -4*m = -2*h - 18. Calculate the remainder when (-1)/((c/(-2))/(-18)) is divided by m.
4
Let j(d) = d - 16. Let m(k) = -k**3 - 16*k**2 - k + 2. Let x = -1 + -15. Let b be m(x). What is the remainder when j(b) is divided by 1?
0
Suppose -2*g - 60 = -5*p, 4*g = -g + p - 173. Let v = -25 - g. Let x(m) = 2*m - 1. Calculate the remainder when x(20) is divided by v.
9
Let t = 101 + -23. Let w = t + -76. Calculate the remainder when 12 is divided by w.
0
Let u(z) = -14*z + 1. Let n be u(-2). Let v = -27 + n. Let q = 3 - -4. Calculate the remainder when q is divided by v.
1
Suppose 0 = -3*v + v + 10. Let c(o) = 3*o**2 + 13*o + 34. Calculate the remainder when c(0) is divided by v.
4
Let m = 329 - -730. What is the remainder when m is divided by 106?
105
Suppose 2*m = -4*x - m + 42, 2*x + m = 20. Calculate the remainder when 224 is divided by x.
8
Calculate the remainder when -6 + 264/42 - (-6588)/21 is divided by 45.
44
Let d = 1045 + -1034. Suppose -h = 2*g - 5 - 16, 0 = -5*g - 25. What is the remainder when h is divided by d?
9
Suppose -160 = -3*b + 5*x, 2*b - 83 - 27 = 4*x. Calculate the remainder when b is divided by 4.
1
Let f = 401 - 369. What is the remainder when 140 is divided by f?
12
Let u(x) = x**2 + 9*x + 31. What is the remainder when 82 is divided by u(-7)?
14
Suppose 2*y = -5*l + 5, -4*y + 5*l = 3 + 2. Suppose y = -7*v + 102 - 11. Calculate the remainder when 51 is divided by v.
12
Let b(w) = 5*w**2 + 4*w - 3. Let y(q) = 11*q**2 + 8*q - 7. Let h(r) = -13*b(r) + 6*y(r). Calculate the remainder when h(-4) is divided by 18.
11
Suppose 5*k - 2*m - 166 = 0, -5*k + 96 = 3*m - 55. What is the remainder when k is divided by (18/21)/((-2)/(-42))?
14
Let g(k) = -2*k**3 + 4*k**2 + 3*k + 6. What is the remainder when g(-3) is divided by (-2)/7 - 79/(-7)?
10
Suppose 0 = -5*c + l - 162, -c + 5*l = 7*l + 28. What is the remainder when 24 is divided by 3*c*(-3)/18?
8
Suppose -8*j + 0*j = -3*j. Suppose -8*h - h + 99 = j. What is the remainder when 43 is divided by h?
10
Suppose 0 = -5*n + 20, 4*y - 25 = 5*n + 3. Suppose 0 = 4*p - 0*p - 100. Calculate the remainder when p is divided by (1 + 0)*(21 - y).
7
Calculate the remainder when 327 is divided by (-12)/10*(-11)/((-66)/(-800)).
7
Suppose -3*v - 1 = z, -z + 3*v + 7 + 10 = 0. Suppose 0*s - 2*s = 4*q - 14, -3*s - 19 = -2*q. What is the remainder when z is divided by q?
3
Suppose -1505*j + 1508*j = 1761. Calculate the remainder when j is divided by 12.
11
Let f = 40 - 73. Calculate the remainder when 30 is divided by ((-33)/(-9) - 4)*f.
8
Let v = 25 - 24. Let t be v*(-1 - 8/(-2)). Suppose 0 = 4*n + t*y - 274, -282 = -4*n + y - 16. What is the remainder when n is divided by 17?
16
Suppose 10*a - 4*m = 8*a + 30, -4*a - 5*m = -86. What is the remainder when 90 is divided by a?
14
Suppose -232 = -4*q - 0*q. Let x be (-4 - (-21)/6)*q. Let o = x + 48. What is the remainder when 36 is divided by o?
17
Suppose -5*x = -2*d - 132 - 124, -265 = -5*x + 5*d. Let t = 354 + -209. What is the remainder when t is divided by x?
45
Let t(r) = 4*r**2 - 5*r - 29. Calculate the remainder when t(11) is divided by 98.
8
Calculate the remainder when 3 + -10 + 43/1 is divided by 21.
15
Let q = 33 - 6. Suppose -6 = 3*b - 5*x, 4*b - q = -0*b - 5*x. Let z = -11 - -13. What is the remainder when b is divided by z?
1
Let m = 20 + -43. Let h = -98 - m. Let r = -23 - h. What is the remainder when r is divided by 27?
25
Let x be (-7 - -4)/(3/(-2)). Suppose -2*c - 25 = -5*g, 2*g + x*c - 32 = -8. Suppose -d + 3*d - 22 = 0. What is the remainder when d is divided by g?
4
Let y(k) = -2*k - 9. Let o be y(-6). Suppose -12 - 3 = -o*m, 0 = -3*s + 3*m + 96. Suppose 7*l - 80 = 3*l. What is the remainder when s is divided by l?
17
Let b(c) = 2*c**3 - 9*c**2 - 4*c - 35. Let w be b(7). Suppose 4*x - 152 = -2*a + w, 2*x + 823 = 5*a. Calculate the remainder when a is divided by 12.
9
Let h(r) = 3*r - 14. Let m be h(4). What is the remainder when 77 is divided by (-34)/m - (-10)/(-10)?
13
Suppose 2*r + 1004 = 1112. What is the remainder when r is divided by ((-76)/6)/(-2)*3?
16
Let y be -2*1*272/32. Let k be (-2)/(-6)*(-8 - y). What is the remainder when 29 is divided by k/(-12)*5*-8?
9
Suppose -5*t = a - 21, -2*t = t - 5*a - 35. What is the remainder when 51 is divided by 2/(((-30)/(-81))/t)?
24
Suppose -3*b + 7*b - 76 = 0. Let w(c) = 3*c**3 + 71*c**2 - 28*c - 2. What is the remainder when w(-24) is divided by b?
18
Let s = -31 - -15. Let y = s - -12. What is the remainder when 22 is divi