culate the remainder when g is divided by 12.
11
Suppose -5*i + 1334 = 2*n, n + 0*n = -5*i + 1332. What is the remainder when 807 is divided by i?
9
Suppose 3482 = 3*x + 4*j, 46*j - 25 = 41*j. What is the remainder when x is divided by 89?
86
Suppose 0*m + 30 = 3*m - 3*k, -5*m - 4*k = -5. Suppose -y = -5*t + 16, -4 = -2*y - 3*y + 4*t. What is the remainder when m is divided by y?
1
Suppose 5*r + 8 = 28. Calculate the remainder when 74 is divided by (2 - -18) + (r - 4).
14
Suppose 2*l - 2 + 0 = 0. Calculate the remainder when 16 is divided by (-2)/l*3*(-20)/12.
6
Let w(u) = u**2 + 59*u + 259. What is the remainder when 309 is divided by w(-55)?
36
Let v(n) be the third derivative of -5*n**4/24 - 17*n**3/6 - 20*n**2. Suppose -40 = -3*o - o. What is the remainder when v(-9) is divided by o?
8
Let z(k) = k**3 - 4*k**2 - 2*k - 4. Let j be z(5). Let o be -12*(3/(-6) - 0). Let q = o + j. What is the remainder when q is divided by 9?
8
Let w = -31 - -20. Let a(x) = -x - 4. Suppose 7 = -2*d + 47. What is the remainder when d is divided by a(w)?
6
Suppose 4*n - 3 + 16 = 5*z, 5*z + 4*n = -3. What is the remainder when -30*z*(7 + 102/(-12)) is divided by 8?
5
Suppose -2*q = -5*q - 4*y, 7 = q - y. What is the remainder when (40 + -10)*10/q is divided by 11?
9
Suppose 3*q - 9*q + 66 = 0. Suppose 0 = -36*h + 37*h - q. Suppose -l + 62 = l. Calculate the remainder when l is divided by h.
9
Let y(j) = 4*j - 49. Suppose -30 - 54 = -3*f. What is the remainder when 188 is divided by y(f)?
62
Let o = -146 + 208. Let g = -9 + 30. What is the remainder when o is divided by g?
20
Let d(z) be the first derivative of -3*z**2 - 8*z + 18. What is the remainder when 101 is divided by d(-7)?
33
Let o = -463 + 938. What is the remainder when o is divided by 68?
67
Suppose 17*u - 70 - 1902 = 0. Calculate the remainder when u is divided by 20.
16
Let h = 8 - 5. Suppose 10*p = 9*p - 3*a, -4*p + 34 = -5*a. Let x = h + p. What is the remainder when 26 is divided by x?
8
Let y(b) = -23*b - 3. Let s be y(-3). Let j = 35 - s. What is the remainder when 3 - (0/(-4) + j) is divided by 9?
7
Suppose 0 = 2*n - 2*r + 4*r - 168, -5*n + 4*r + 465 = 0. Calculate the remainder when n is divided by (-1)/(-3) - ((-228)/18 - 10).
20
Let s = 2 + -17. Let x be ((-2)/(-4))/((-5)/(-290)). Let q = s + x. What is the remainder when q is divided by 8?
6
Suppose 8*u = 4*u + 48. Suppose 0*j - 5 = -j. Suppose -j*k + 6*k - 23 = 0. Calculate the remainder when k is divided by u.
11
Let m(n) = -72*n - 506. What is the remainder when m(-8) is divided by 24?
22
Suppose -256 = -9*a - 49. What is the remainder when 482 is divided by a?
22
Suppose -c + b + 23 = 0, 3*c - 5*b - 5 - 74 = 0. Calculate the remainder when c is divided by (-2)/(-4)*(15 - 1).
4
Suppose 2*l - 78 = -0*l. Let u = l - 21. What is the remainder when 17 is divided by -2 + (-4 - (3 - u))?
8
Suppose -4*u + 32 = -2*x, 4*x + 11 = -3*u + 2. Let b be (-231)/35 - x/(-15). Calculate the remainder when 37 is divided by -3*(-40)/(-84)*b.
7
Let d(o) = -o + 5. Let l = 21 - 39. Let q = l - -26. What is the remainder when d(-9) is divided by q?
6
Suppose -4*f + 2*v - 5940 = -8*f, -11*f + 4*v = -16297. What is the remainder when f is divided by 53?
52
Let s = 26 + 89. Calculate the remainder when s is divided by 59.
56
What is the remainder when ((-1)/(-4))/(26/72696) is divided by 100?
99
Let n(j) = j**2 - 3*j + 5. Let m be n(3). Let p = 9 - m. Calculate the remainder when 88 is divided by (-242)/(-8) - 1/p.
28
Let u(o) = -88*o - 85. What is the remainder when u(-2) is divided by 24?
19
Suppose 3 = m, -3*z + 4*m = 2*m + 51. Let h(f) = f**3 + 1. Calculate the remainder when -1 + -1 - (-3 + z) is divided by h(2).
7
Suppose -9*b - 42 + 6 = 0. Let t = b - -30. What is the remainder when 129 is divided by t?
25
Let g = -223 + 290. What is the remainder when g is divided by 58?
9
Suppose 12 + 15 = h. Calculate the remainder when h is divided by (5 + -6)/(6/(-5) + 1).
2
Let o = 77 + 49. Let c = 217 - o. What is the remainder when c is divided by 33?
25
Suppose 278 - 10 = 4*g. What is the remainder when g is divided by 1 - 231/(-14)*(-4)/(-3)?
21
Suppose -4*x - x = f + 20, 22 = x - 5*f. What is the remainder when 125 is divided by 4 + (-56)/(1 + x)?
29
Let n(v) = -16*v**2 + 161*v + 24. What is the remainder when 878 is divided by n(10)?
28
Let h = -588 - -612. What is the remainder when 215 is divided by h?
23
Let w(x) = -3*x**2 - 12 + 10 + 4*x - 8. Let y(a) = -13*a**2 + 15*a - 41. Let u(d) = -9*w(d) + 2*y(d). What is the remainder when u(6) is divided by 3?
2
Let h(a) = 2*a**2 + 25*a + 147. Calculate the remainder when h(-14) is divided by 24.
21
Let v = -44 + 44. Let y = 10 + v. Calculate the remainder when 18 is divided by y.
8
Suppose -140 = -6*i - 134. Calculate the remainder when (5 + 1734/(-24))/(i/(-4)) is divided by 68.
65
Suppose 31 = -4*b + 103. Let s be (6/(-7))/((-2)/14). Let i = b - s. Calculate the remainder when 47 is divided by i.
11
Let x = 847 + 30. What is the remainder when x is divided by 42?
37
Suppose -25 = -3*b + 2*b. Suppose 238 = 2*r - 4*h + 6*h, 263 = 2*r - 3*h. Calculate the remainder when r is divided by b.
24
Suppose 65 = 7*p - 2*p. Let x(i) = -i**3 + 7*i**2 - 7*i + 7. Let z be x(6). Let c(s) = 25*s**2 - 1. Calculate the remainder when c(z) is divided by p.
11
Let y(a) = -a**3 + 6*a**2 - 2*a - 11. Let u be y(5). Suppose -u*z + 3*z + 4 = 0. What is the remainder when 30 is divided by z?
2
Suppose 3*r - 34 = 50. Calculate the remainder when (9*(-10)/90)/(1/(-81)) is divided by r.
25
Suppose 4*v = y + 84 + 9, 5*y + 47 = v. What is the remainder when 77 is divided by v?
11
Calculate the remainder when 32 is divided by (-9)/(-12) + (-255)/(-12).
10
Let i = -30 + 79. Let u = -40 + 43. Calculate the remainder when i is divided by 2/4*(51 - u/3).
24
Let w(i) = -115*i + 2. Let c be w(-1). Let x = c - 86. Calculate the remainder when 58 is divided by x.
27
Let d be 4/(16/60) + (2 - 2). Let o = 1 + d. Calculate the remainder when 30 is divided by o.
14
Suppose 4*y - 22 = 2*m - 42, -3*y = 4*m - 7. Let a(f) = f**2 + 3*f - 6. Let p be a(-5). What is the remainder when p - m - (-34 + -1) is divided by 19?
16
Suppose 5*c - 1 = 9. What is the remainder when 53 is divided by (14/(-6))/(c/(-12))?
11
Let d = -568 + 1259. Calculate the remainder when d is divided by 116.
111
Let z = 14 + 19. Let g(n) = 37*n - 180. What is the remainder when z is divided by g(5)?
3
Let l be ((-4)/(-6))/(16/480). Let i = l - -50. What is the remainder when i is divided by 18?
16
Suppose -5*o = -441 + 416. Let v(k) = 8*k**2 + 2*k. Let x be v(-2). Let g = -19 + x. Calculate the remainder when g is divided by o.
4
Suppose -2*r + 112 = -0*r. Suppose -5*o + 5*y = -210 - 20, 3*y + r = o. Calculate the remainder when o is divided by 14.
13
Let d = -52 + 56. Suppose -d*k + 476 = -0*c - 2*c, -3*c = k - 119. Calculate the remainder when k is divided by 30.
29
Suppose 19*z = -16*z + 735. What is the remainder when 188 is divided by z?
20
Let p(q) be the first derivative of -9/2*q**2 - 4 - q. Calculate the remainder when 14 is divided by p(-1).
6
Let v = -57 + 88. Let o be -32*6/18 - (-2)/(-6). Let t = v + o. Calculate the remainder when t is divided by 7.
6
What is the remainder when 25 is divided by (-8 - (-5 - 2))*-20?
5
Let s = -198 + 387. Calculate the remainder when s is divided by 49.
42
What is the remainder when ((-27)/12 + 3)*160 is divided by 55?
10
Suppose -67*f - 2688 = -91*f. What is the remainder when 4590 is divided by f?
110
Let l = 7132 + -7085. Suppose 2*u - 278 = 90. Calculate the remainder when u is divided by l.
43
Let c = -104 - -116. What is the remainder when c is divided by 5?
2
Suppose 5*d + 0*d - 140 = 0. Suppose -4*f + 226 = -5*s - 91, -5*s + 98 = f. What is the remainder when f is divided by d?
27
Let w = 113 + -60. Suppose w - 15 = 2*s. Let b(k) = -k**3 + 16*k**2 - 10*k. Calculate the remainder when b(15) is divided by s.
18
Let i = 110 - 97. What is the remainder when 557 is divided by i?
11
Let p(s) = s**3 + 11*s**2 + 5*s - 13. Let o be p(-10). Suppose 0 = 4*j - 4*d - 244, 0 = 3*j - 2*d - 141 - o. Calculate the remainder when j is divided by 10.
6
Let m(w) be the second derivative of 5*w**3/6 - 31*w**2/2 - 26*w. Suppose 0 = r - 2*r + 3. What is the