 divided by u(-5).
24
Suppose 0 = x - 3*a - 6, 0 = 2*x + 3*a + 1 - 4. What is the remainder when 76 is divided by (-14)/21 + 80/x?
24
Let j be 8/(-3)*-1*6. Suppose 5*s - 4*x = 3*s + j, -5*s = 4*x - 40. Let y = s + 20. Calculate the remainder when y is divided by 10.
8
Suppose -3*y = 4*q - 109, 19 = 2*q + 3*y - 34. Calculate the remainder when 108 is divided by q.
24
Let x(n) = -5*n - 39. What is the remainder when x(-20) is divided by 32?
29
Let m(a) = -a**2 - 18*a + 7. Suppose x + 2*x = 33. What is the remainder when x is divided by m(-18)?
4
Let o = 29 + -21. What is the remainder when 29 is divided by o?
5
Suppose -20*c - 15 = -21*c. Let k = -81 + 123. Calculate the remainder when k is divided by c.
12
Let m be (-51)/(-5) - 2/10. Let r(j) = j - 2. Calculate the remainder when 29 is divided by r(m).
5
Let g(k) = -k**3 + 7*k**2 + 12*k - 9. What is the remainder when 89 is divided by g(8)?
20
Let v(s) = 4 + 5 + 1 + 6*s - 2. Let g be v(6). Suppose p + g = 5*p. What is the remainder when 31 is divided by p?
9
Suppose 3*z - 5*x - 92 = 0, -5 = -0*x - x. Suppose -2*o = 2*o - 80. What is the remainder when z is divided by o?
19
Suppose 4 = h + 2. Suppose 0 = -0*y + h*y - 26. What is the remainder when y is divided by 5?
3
Suppose 5*h - 2*h + 15 = 0, 5*h = -5*y - 30. Let x = y - -3. Suppose -2*g + x*q + 41 = g, -5*q = 4*g - 47. What is the remainder when g is divided by 5?
3
Let g be -2 + (1/(-1) - 0). What is the remainder when 5 is divided by (-1)/(-3)*0 - g?
2
Let q = 116 + -53. What is the remainder when q is divided by 22?
19
Suppose -j = -2*j - 3*o + 7, -5*j = -3*o - 17. Calculate the remainder when j is divided by 3.
1
Suppose 0 = -2*l - 5 + 13. Suppose l*u - 102 = u. What is the remainder when u is divided by 18?
16
Let z = -46 + 92. Calculate the remainder when z is divided by 2160/128 - (-2)/16.
12
Let a(b) = 12*b**2. Let r(w) = -w - 1. What is the remainder when a(1) is divided by r(-5)?
0
Let n = 22 + -10. What is the remainder when n is divided by 8?
4
Let h = -151 + 169. Calculate the remainder when 35 is divided by h.
17
Let w(b) = -2*b - 8. Let m be w(-6). Suppose -m*x + 4*n + 48 = 0, 4*x - 30 = x + 5*n. Suppose -5*j + 111 = -104. Calculate the remainder when j is divided by x.
13
What is the remainder when 7 is divided by -4 + (-8)/(-4) - -4?
1
Let f(h) = -h**2 + 9*h - 9. Let u(a) = a**3 - 2*a + 1. Let m be u(1). Suppose m = -6*g + 3*g + 75. What is the remainder when g is divided by f(6)?
7
Let c be 18/4*(-4)/(-3). Let w = c - 2. Suppose -4*d = w*f - 3*d - 102, -5*d - 90 = -4*f. What is the remainder when f is divided by 9?
7
Let z be (-2)/(-9) - (-284)/18. Suppose z + 8 = 3*n. Calculate the remainder when 21 is divided by n.
5
Let y = 3 - 3. Suppose -5*f + 10 + 18 = 3*j, y = 2*j - 3*f - 6. Calculate the remainder when j is divided by 4.
2
Let x be (-1)/(-2) - 245/(-10). Calculate the remainder when 1 is divided by (2/(-10))/((-5)/x).
0
Let t = -9 - -23. Calculate the remainder when 27 is divided by t.
13
Suppose 4*g = 5*g - 11. Calculate the remainder when 30 is divided by g.
8
Suppose 3*j - 3*x = x - 1, 4*j = -4*x + 36. Let i(d) = d**2 - 6*d + 12. Calculate the remainder when 12 is divided by i(j).
5
Let r = 15 + -13. Suppose -r = w - 3. Calculate the remainder when 1 is divided by w.
0
Let q(j) = j**2 - 5*j - 1. Let v be 2/(32/(-20))*4. What is the remainder when q(v) is divided by 25?
24
What is the remainder when 10 is divided by ((-8)/(-3))/((-8)/(-12))?
2
Let r(u) = -u**2 - 6*u + 3. Let c be r(-7). Calculate the remainder when 5 is divided by (3/c)/(1/(-4)).
2
Suppose 12 + 8 = -4*v, 4*y - 5*v - 161 = 0. What is the remainder when y is divided by 9?
7
Suppose 0 = 5*s - 5. Suppose 3*m - 5 = s. Suppose v = 6*v + f - 55, 0 = -m*v - 3*f + 22. What is the remainder when 32 is divided by v?
10
Let z(s) = s**2 - 7*s + 7. Let p be z(6). Let g = p - -7. What is the remainder when g is divided by 5?
3
Suppose 5*i + 24 = -2*z, 0 = -3*z - 2*z - 3*i - 60. What is the remainder when (18/z)/((-3)/14) is divided by 4?
3
Let q = -126 + 217. What is the remainder when q is divided by 31?
29
What is the remainder when 14 is divided by (-4 - -2)*((-30)/(-4))/(-3)?
4
Suppose 3*w + 2*a - 14 = -0*a, 0 = -2*a + 2. Calculate the remainder when 11 is divided by w.
3
Let n(p) = 2*p + 5 + 0*p - p. Calculate the remainder when n(-4) is divided by (3 - 1)/(-1 - -3).
0
Suppose 4*a + 108 = 2*s, 4*a = -2*s - 2*s + 216. What is the remainder when s is divided by 15?
9
Suppose 2*o + 51 = 2*m + 127, -2*o - 3*m = -66. What is the remainder when o is divided by 20?
16
Let f(h) = 2*h + 3*h + 12 - h - 5*h. Let a be f(10). What is the remainder when 12/(-15)*(-55)/a is divided by 12?
10
Suppose -4*w - 2*m = m + 132, -w - 32 = m. Calculate the remainder when 11 is divided by w/48 - 31/(-4).
4
Let r(g) = -2*g + 2 - 1 + 12*g**2 + 0*g + 10*g**2. What is the remainder when r(-2) is divided by 24?
21
Suppose 0 = 5*z - 95 - 10. Calculate the remainder when z is divided by -1 + 4 - 9/(-3).
3
Suppose 4*t + 2*v - 71 = -19, -32 = -4*t + 3*v. Suppose 2*o - 13 = t. What is the remainder when o is divided by 5?
2
Suppose 2*b - 4 = -2*b, -5*b - 39 = -4*o. What is the remainder when o is divided by 8?
3
Let s(w) = 3*w**2 - 4*w - 1. Let a be s(3). Suppose 0 = -4*z + 2 - a, -z = -u + 28. Calculate the remainder when 49 is divided by u.
24
Suppose n = 4*l - 175, 6*l - 42 = 5*l + 2*n. What is the remainder when l is divided by 15?
14
Let y = -1 - -6. Let c = 26 - y. Calculate the remainder when c is divided by 6.
3
Suppose 5*y = -m + 6*m + 5, 3*m = 6. Suppose -3*s = -t - 88, -2*s + 44 = y*t - 22. What is the remainder when s is divided by 16?
14
Suppose -2*r - 7 = -k, -5*r + k - 7 = 3. Let x = r + 3. Suppose 0 = -x*u - f + 9, -u = 3*u + 3*f - 17. What is the remainder when u is divided by 3?
2
Suppose 4*z = 3*z + 2. Let l(y) = -y**3 - 9*y**2 - 9*y - 10. Let c be l(-8). What is the remainder when (-4)/(-3) + c/(-3) is divided by z?
0
Let u = -18 + 26. Suppose -b + u = 3*b. Calculate the remainder when 1/(-4) - 9/(-4) is divided by b.
0
Suppose -a = -0*g + 2*g - 46, -4*g - 4*a = -84. Let n(z) = 11*z**2 + 3*z + 9. What is the remainder when n(-3) is divided by g?
24
Let d(f) = f**3 - 5*f**2 + 2*f + 5. Suppose -3*w - 3 = -18. Suppose 2*a + 5*c = -w, 3*c + 11 = 2. Calculate the remainder when d(a) is divided by 9.
6
Let j = -27 + 50. Suppose 4*m = 13 + j. Let g = 112 + -87. What is the remainder when g is divided by m?
7
Suppose 17*w = 12*w + 495. Calculate the remainder when w is divided by 20.
19
Let v(q) = q + 8. Let b be v(-6). Suppose b*l - 32 = l. What is the remainder when l is divided by 1 - ((-27)/3 - 1)?
10
Suppose -6*l = -l - 135. Calculate the remainder when 51 is divided by l.
24
Suppose -3*b - 4 = -4*k + b, 0 = 2*k + 3*b - 12. Calculate the remainder when k is divided by 2.
1
Suppose -4*o = -26 - 14. Let s be ((-12)/o)/((-6)/20). Suppose -s*h + 88 + 96 = 0. What is the remainder when h is divided by 12?
10
Suppose 3*p - 78 = -3*h, -h + 5*p - 2*p = -14. Calculate the remainder when 44 is divided by (h/(-5))/(2/(-10)).
21
Let k = 4 + -6. What is the remainder when (k - -1)/(-1)*19 is divided by 7?
5
Let k = 8 + -4. Suppose 0 = -5*a - 0 + 10. Calculate the remainder when k is divided by a.
0
Suppose 5*s = -2*n + 72, 5*s + 5*n - n - 64 = 0. Suppose -9*q + s = -5*q. Calculate the remainder when 11 is divided by q.
3
Suppose -197 + 53 = -8*b. Calculate the remainder when b is divided by (-9)/(-15) - 47/(-5).
8
Suppose 10*t + 36 = 13*t. Calculate the remainder when 22 is divided by t.
10
Suppose 311 = 4*t + 59. Calculate the remainder when t is divided by 32.
31
Suppose 5*c + 7 = 5*r + 2*c, 4*r = 2*c + 6. Suppose -10 = -b - r*u, 4*b - 15 - 5 = -3*u. Calculate the remainder when 6 is divided by b.
0
Suppose 0 = 21*k - 26*k + 355. What is the remainder when k is divided by 15?
11
Let s(n) = n**3 + 6*n**2 - n + 7. What is the remainder when 36 is divided by s(-6)?
10
Let m = -30 - -41. Calculate the remainder when 43 is divided by m.
10
Let a(t) = t**2 + 2*t + 7. Let f be a(-9). Suppose 3*i - f = 2*j, -i - 4*i + 104 = 3*j. What is the remainder when 43 is divided by i?
21
Let s = 1 + 1. Suppose s = 4*l - 6. Calculate the remainder when 4 is divided by l.
0
Let b(r) = 10*r**2 - r + 1