 -g, i + b = 46. Suppose 5*j - 71 = 4*c, -j - j + i = -5*c. Calculate the remainder when j is divided by 6.
5
Suppose 15 = 5*l + 5*n, 2*l + 3*n - 15 = -2*l. What is the remainder when 61 is divided by 123/l + (-3)/(-6)?
19
Suppose 2*q + 4 = -p, 5*p = q + 2*p - 12. Suppose 7*c - 65 = 2*c. What is the remainder when 25*(1 - (0 + q)) is divided by c?
12
Suppose -3*n + 4*i - i + 102 = 0, -3*i = -5*n + 162. Calculate the remainder when n is divided by 8.
6
Let u(c) be the first derivative of c**3/3 + 3*c**2/2 + 2*c - 1. What is the remainder when u(-4) is divided by 3/(-6) + 18/4?
2
Suppose 180 = -5*i + 5*h + 680, -5*i = 3*h - 500. Suppose 2*t = -2*q + i, t + 2*t - 4*q = 143. What is the remainder when t is divided by 13?
10
Let p(s) = s**3 + s**2 - 2*s - 3. Let g be p(-2). What is the remainder when 27*(3 + g + 1) is divided by 14?
13
Let n = 3 + 1. Suppose 0 = n*f - 25 - 11. What is the remainder when f is divided by 6?
3
Let w be (-3)/(4 - 85/22). Let q = w - -36. Calculate the remainder when 55 is divided by q.
13
Suppose 4*i + 3*g - 61 = -14, 0 = i - 2*g - 9. What is the remainder when 54 is divided by i?
10
Suppose 2*j - 28 = -4*m, -m = -2*m - 4*j. Let o = 38 + -22. Let p = o - m. Calculate the remainder when 14 is divided by p.
6
Let d(h) = -h**3 + 6*h**2 + h - 4. Let g be d(5). Suppose 0 = 5*y + g + 4. Let l = 14 + y. Calculate the remainder when 21 is divided by l.
5
Let x(g) = 12 - 4*g**2 - 5 + 3*g**2. Let n be x(0). Suppose -n*r = -5*r - 4. What is the remainder when 7 is divided by r?
1
Calculate the remainder when 42 is divided by 13 + 2/(-1) + 0.
9
Suppose x + 14 = b - 2*x, 0 = 4*b - x - 67. Let c = b + -4. Suppose 5*o + 0 = 35. What is the remainder when c is divided by o?
6
Let p = -64 - -119. Calculate the remainder when p is divided by 14.
13
Suppose d = 5*d. Suppose z = -5*w - 17, -5*z + d*w = 4*w + 1. Suppose -78 = -5*x - z*i, x + 0*x + 4*i = 19. Calculate the remainder when 57 is divided by x.
12
Let f = -69 - -84. What is the remainder when f is divided by 4?
3
Let o(j) = 45*j**3 + j**2. Suppose 2*q - q - 16 = 0. What is the remainder when o(1) is divided by q?
14
Let c(m) = m**3 - 14*m**2 + 20*m - 34. What is the remainder when c(13) is divided by 13?
5
Let i = -3 + 0. Let r(g) = 19*g - 1. Calculate the remainder when r(1) is divided by -3*1/(i/10).
8
Suppose 0 = 2*a - 2*s - 20, 0*s - 26 = -3*a + 4*s. Let u be 4/a + 99/21. What is the remainder when 19 - u - (0 + 1) is divided by 5?
3
Let q(x) be the second derivative of 3*x**3/2 - x**2/2 - 2*x. Let m be q(2). Suppose -m = -2*b + 15. What is the remainder when 46 is divided by b?
14
Suppose 0 = 2*x + 2*x - 20. Suppose -5*f + 85 = x*y - 0*y, f = 4*y + 17. Calculate the remainder when 33 is divided by f.
16
Suppose 0 = -2*h + 4*h + 3*t - 43, 0 = -h + 2*t + 39. Calculate the remainder when h is divided by 15.
14
Suppose -4*l + 2*o = -26, -3*o + 0 + 1 = 4*l. Let z(f) = f**2 - 2*f - 2. What is the remainder when z(4) is divided by l?
2
Suppose 55 = p + 4*p. Suppose 3*d = 4 + p. What is the remainder when d is divided by 3?
2
Let l be 1*(2 - (6 - 1)). Calculate the remainder when 45 is divided by 30*(1 + l/5).
9
Let l(k) = -k**3 + 5*k**2 + 8*k - 3. Let j(t) = 3*t - 3. Calculate the remainder when l(6) is divided by j(2).
0
Suppose 6 + 4 = 5*k. Suppose -k*q = -5*f - 13, 6 = 2*f - 0*f. Calculate the remainder when q is divided by 8.
6
Suppose r + 0*r - 49 = 0. What is the remainder when r is divided by 25?
24
Suppose 4*f + 111 = 363. Let c = -117 - -130. Calculate the remainder when f is divided by c.
11
Let s = 0 - -3. What is the remainder when -1 + (-177)/((-9)/s) is divided by 20?
18
Suppose -10 = -2*a, x - a + 3 = -0*a. Suppose 21 = -3*n + 10*n. What is the remainder when n is divided by x?
1
Suppose -2*l + 27 = l. Let r = -6 + l. Let y = 18 + -13. Calculate the remainder when y is divided by r.
2
Suppose -3*w = -3*z - 99, -2*w - 5*z + 6 = -39. Calculate the remainder when w is divided by 8.
6
Let a = 18 + -15. Let n(s) = s**2 - 2*s + 1. Suppose -4*x + 2*x = -6. What is the remainder when n(x) is divided by a?
1
Suppose 1 = 2*o + k, -3*o - k + 6*k = -34. Let n = 1 + -1. Suppose -4*p + o*p + 12 = n. What is the remainder when 35 is divided by p?
11
Suppose -4*p + 3*m = -72, 3*m = 4*p + 7*m - 100. Calculate the remainder when p is divided by 11.
10
Suppose 4*g - 17 = k, 5*k + 2*g = k + 4. Suppose -r + n = -1, -3*r - n = -0*n + 5. Calculate the remainder when 16 is divided by 5 + k/(r + 0).
4
Suppose 5*q - 2*j - 14 = 0, -5*q + q + 5*j + 1 = 0. Suppose -11 = -q*o - 3. What is the remainder when o is divided by 1?
0
Let n = 174 - 94. Suppose 0 = -l - 2*i - 3*i + 29, 4*l + 2*i = n. Calculate the remainder when l is divided by 10.
9
Let n = -22 - -29. What is the remainder when 32 is divided by n?
4
Let d be (2 - 1)/(2/(-12)). Calculate the remainder when (-6)/12 - (-5)/2 is divided by 6/4 + (-3)/d.
0
Let q(n) = 2*n + 6. Let j be q(-4). Let h = j - -17. Calculate the remainder when 43 is divided by h.
13
Suppose 55 = 3*j - 4*w, -3*j + 81 = 2*j + 4*w. What is the remainder when j is divided by 5?
2
What is the remainder when 19 is divided by 84/8*2/3?
5
Let j(k) = -4*k + 2. Suppose -2*v + 22 + 30 = 0. Calculate the remainder when v is divided by j(-3).
12
Suppose 7*q + 42 = 4*q. Let w = -8 - q. Let i(f) = -f + 10. What is the remainder when w is divided by i(6)?
2
Suppose -2*i = 3*d - 723, 0*d = -d + 3*i + 252. What is the remainder when d is divided by 41?
38
Suppose 9*w - 31 - 113 = 0. What is the remainder when 63 + (0 - -1 - 3) is divided by w?
13
Let z = 8 - 0. Suppose -4*w + 115 = w. What is the remainder when w is divided by z?
7
Suppose -147 - 348 = -9*z. What is the remainder when z is divided by 19?
17
Let o = -10 + 14. Suppose o*z - 73 = -3*l, 0*z + 93 = 4*l + z. Calculate the remainder when l is divided by -12*(0 + (-3 - -2)).
11
Suppose -2*c + 20 = 2*z, 2*z - 3*c - 21 = -4*c. What is the remainder when 31 is divided by (z/(-33))/(1/(-33))?
9
Let a(j) = -11*j + 3. Let s be a(-7). Suppose 5*c - 3*t = s, t + 43 = 4*c - 21. What is the remainder when c is divided by 6?
4
Let a = 7 - 3. Suppose -a*l = -3*n + 45, 5*l - 60 = -4*n + 3*l. What is the remainder when 44 is divided by n?
14
Let p be (-20)/6*(0 - 15). Suppose m + 4*m + 5*w = p, -16 = -m + 5*w. What is the remainder when ((-3)/(-3))/((-3)/(-93)) is divided by m?
9
Suppose -3*m + 5*m = 6. Suppose -2*g - 13 = -5*j, j + m*j + 16 = -5*g. What is the remainder when j is divided by 1?
0
Suppose 3*t - i - 3 = -29, -3*i = -t + 2. Let b be t/4 + (-9)/(-6). What is the remainder when 1 is divided by b + 3 - (3 - 2)?
0
Suppose -z + 3 = 42. Let q = -20 - z. What is the remainder when q is divided by 7?
5
Let t(p) = p**3 + 29*p**2 + 48*p + 25. What is the remainder when t(-27) is divided by 38?
35
Suppose 4*m - 108 = -4*j, 4*j - m - 88 = -0*m. What is the remainder when j is divided by 6?
5
Let v(p) = -3*p + 13. Calculate the remainder when v(-6) is divided by 8.
7
Let x be -2 + 3 - 0/1. Let c(l) = 8*l**2 - 1. Let b be c(x). Suppose -b = -n + 10. Calculate the remainder when n is divided by 6.
5
What is the remainder when (-5)/(-20) + (-55)/(-4) is divided by 5?
4
Calculate the remainder when 101 is divided by (-1 - 4/8)*(-140)/6.
31
Let l(b) = b**2 - 8*b + 10. Let t be l(7). Suppose f - 4*u - 11 - t = 0, -4*u + 22 = 5*f. Calculate the remainder when 9 is divided by f.
3
Suppose 2*s + 3*s = 205. Let u = -3 + -3. Calculate the remainder when s is divided by (1 + 27/u)*-4.
13
Suppose 0 = -2*t - 91 - 1. Let g = -20 - t. What is the remainder when g is divided by 9?
8
Suppose -t + 38 - 6 = 0. What is the remainder when t is divided by 7?
4
Suppose 5*i - 3*y = 5, -17*i + 14*i + y + 3 = 0. Calculate the remainder when (-8)/(-3) + (-3)/(-9) is divided by i.
0
Let t(k) = -k**3 + 4*k**2 - 3*k. Suppose 3*c + 0*c = 0. Suppose -6 = -3*o - c. Calculate the remainder when o is divided by t(2).
0
Suppose s + 108 = 5*s. Let m(q) = q**3 - 5*q**2 + 5*q - 3. Let g be m(3). Let w = g - -16. Calculate the remainder when s is divided by w.
7
Suppose -5*d + 32 = 2*a, -2*d - 47 + 7 = -4*a. Let g = 15 - a. Calculate the remainder when 7 - 0 - (-2 + 2) is divided by g.
3
Let f = -53 - -93. Calculate the remainder when 118 is divided by f.
38
What is the 