 remainder when 12 is divided by w?
0
Suppose 0 = -5*r + 2*r. Let q = r + 40. Suppose 5*d + w = q, -5*d + w = 3*w - 35. What is the remainder when 16 is divided by d?
7
Suppose 3*l - 81 = -0*l. Let k = -13 + l. What is the remainder when 41 is divided by k?
13
What is the remainder when 87 is divided by ((-70)/(-28))/(1/6)?
12
Suppose -f = -4*a - 3*f + 4, 0 = -5*a + 4*f - 8. Suppose a = -2*h + 28 + 8. Suppose -52 = -3*p + 2*p. What is the remainder when p is divided by h?
16
Let i(x) = -5*x - 3. Let t be i(-2). Suppose 4*q = 5*p - 65 + t, 3*p - 30 = 4*q. Let g(w) = -w**3 + 6*w**2 + 5. What is the remainder when p is divided by g(6)?
4
Suppose -4*k = -k - 2*t - 51, 60 = 3*k + t. What is the remainder when k is divided by 11?
8
Let s be 2 - (-2)/(-2)*-1. Suppose 4*t + s*o + 2 - 8 = 0, t + 4*o + 5 = 0. Let m(u) = u**2 - 3*u - 5. Calculate the remainder when m(5) is divided by t.
2
Let v = 151 - 136. Calculate the remainder when 50 is divided by v.
5
Let a(j) = -5*j - 26. Calculate the remainder when 66 is divided by a(-12).
32
Let c(x) = -12*x - 1. Calculate the remainder when 91 is divided by c(-2).
22
Let w(m) = -3*m - 1. Let n = 28 - 3. Let g = n + -11. Calculate the remainder when g is divided by w(-2).
4
Calculate the remainder when 182 is divided by 0 + (-1 - 0 - -1) - -46.
44
Let a = 29 + -48. Let v = a + 33. Calculate the remainder when 40 is divided by v.
12
Suppose -t + 2*t - 5*y - 1 = 0, -4*y - 8 = t. Let f be (1 - (-3)/(-2))*t. Suppose -3*c + 10 = f*c. What is the remainder when 4 is divided by c?
0
Let f = 6 + -6. Suppose 5*a - 6*a - 1 = f. Let n = 2 - a. What is the remainder when 4 is divided by n?
1
Let b = -2 + 5. Let q = b + 2. Suppose 6*u - 36 = 4*u. Calculate the remainder when u is divided by q.
3
Suppose -5*p = 2*l - 18 - 58, 3*l + p - 140 = 0. What is the remainder when l is divided by 14?
6
Suppose -k = -h + k - 19, 2*k = 10. What is the remainder when 9 is divided by (-2)/h + 86/18?
4
Let k be (1/(-2))/((-3)/102). Suppose j - k = -2. Calculate the remainder when 1*56/10*5 is divided by j.
13
Let x be 216/21 - 10/35. Let m = -1 - 4. Let h = x - m. Calculate the remainder when h is divided by 4.
3
Suppose 18*m = 13*m + 60. What is the remainder when 35 is divided by m?
11
Let v = 130 + -126. What is the remainder when 13 is divided by v?
1
Let r = -19 - -37. Calculate the remainder when 39 is divided by r + 6/2 + -1.
19
Let l = 8 + -4. Suppose -l*o = -3*o - 15. Calculate the remainder when 58 is divided by o.
13
Suppose -8*g + 70 = -3*g. What is the remainder when 26 is divided by g?
12
Suppose s = -0*s + 3*l + 60, 3*s - l = 196. What is the remainder when s is divided by 18?
12
Let v be ((-10)/(-30))/(2/24). Suppose 324 = v*l + 24. What is the remainder when l is divided by 19?
18
Let m(u) = 10*u**2 - 2*u - 2. Calculate the remainder when 48 is divided by m(-1).
8
Suppose 0 = 25*p + 134 - 384. Let z(b) = b**2 + 2*b - 6. Calculate the remainder when z(4) is divided by p.
8
Let a be 1/(3/(-12)*-2). Suppose 0*v = -a*v + 8. What is the remainder when v*2/8*2 is divided by 2?
0
Suppose -q = -3*u + 2, -u = u - 4. Suppose -27 = -q*d + 3*d. What is the remainder when d is divided by 14?
13
Suppose 0 = 3*j + 3*l - 24, 3*l = -5*j + 6*l + 16. Calculate the remainder when 10 is divided by j/20 - (-30)/8.
2
What is the remainder when 281 is divided by (8/6 - (-10)/15) + 45?
46
Let n = -8 + 24. Calculate the remainder when n is divided by 7.
2
Suppose 5*b + 145 = 3*p, 5*b + 92 = 2*p + 4*b. Let h(n) = -n**3 - 29*n**2 + 31*n + 46. Calculate the remainder when p is divided by h(-30).
13
Let u(l) = 2*l + 3. Let s be u(3). Let r = s - 5. Suppose 5*k - r*a + 6 = 24, -k + 4*a + 10 = 0. Calculate the remainder when k is divided by 2.
0
Suppose 0 = -3*f - m - 4, 4*m = m - 12. Suppose -3*i + 46 + 23 = f. Let t(x) = x**2 - x + 3. What is the remainder when t(7) is divided by i?
22
Calculate the remainder when 1/(-10)*4 + 567/5 is divided by 2/11 - (-1268)/44.
26
Let r = 11 - -6. Let s = r + -4. What is the remainder when 50 is divided by s?
11
Suppose -16 = -6*d + 2*d. Calculate the remainder when 18 is divided by d.
2
Let g(i) = i**3 - 9*i**2 - 9*i - 4. Let z be g(10). Suppose -2*f = -f - z. Calculate the remainder when 11 is divided by f.
5
Let p(y) = -4*y**2 + 5*y - 1. Let m = -5 + 9. Let q be p(m). Calculate the remainder when q/(-3)*(-16)/(-10) is divided by 13.
11
Let a = -58 - -97. What is the remainder when a is divided by 8?
7
Suppose 2*w - 3 = 1. Let m = w - -2. Suppose -m*h + 6 + 6 = 0. What is the remainder when 7 is divided by h?
1
Suppose -4*q + 26 = -54. Let c = 7 + 0. What is the remainder when q is divided by c?
6
Let d be (2/6)/((-1)/(-129)). Suppose d = 2*h + 7. Suppose 2*l = -4*l + 60. Calculate the remainder when h is divided by l.
8
Suppose -1 = -2*z + 1. Let n be 3 - (-1 - z/(-1)). Let c(l) = l. What is the remainder when 4 is divided by c(n)?
1
Let i(k) = k**3 - 5*k**2 - 7*k + 8. Let t = 5 - 7. Let z = -1 - t. What is the remainder when i(6) is divided by z?
0
Let x = -18 - 4. Let r be (x - -2)*(-45)/20. Suppose -r = 4*t - 7*t. Calculate the remainder when t is divided by 8.
7
Suppose z + 4*t - 152 = 0, -4*z + 5*t = -233 - 312. Calculate the remainder when z is divided by 47.
46
Calculate the remainder when (1/(-1))/(6/(-204)) is divided by 20.
14
Let s = 7 + -14. Let n = s + 10. Suppose r - 23 = -5*h, 2*h - 21 + 4 = -n*r. Calculate the remainder when 6 is divided by r.
0
Suppose -5*p + 18 + 122 = -4*d, 4*p - d = 112. Suppose o + 3*o - p = 0. Calculate the remainder when 12 is divided by o.
5
Let u be 6*(-1 + (-33)/(-9)). Suppose 3*o - o = u. Let t(h) = -h**3 - 4*h**2 + h + 2. Calculate the remainder when t(-5) is divided by o.
6
Suppose -5*g + 45 = -0*g. Suppose 0 = 3*u - 58 + 16. Let t = u - g. What is the remainder when 9 is divided by t?
4
Let y = 52 + 18. What is the remainder when y is divided by 9?
7
Suppose -4*j + 94 + 66 = 0. Calculate the remainder when j is divided by (-6)/4*14/(-1).
19
Suppose -2*u + 4*h = -32, -4*u - h - h + 84 = 0. Calculate the remainder when 38 is divided by u.
18
Suppose -4*t + 64 + 62 = -2*s, -5*s = -15. Calculate the remainder when t is divided by (3*-4)/((-3)/3).
9
Let t(p) be the first derivative of -p**2 + 3*p + 2. Let n be t(-6). Let s = n - 4. What is the remainder when s is divided by 6?
5
Calculate the remainder when (-3 + 2)*(-50)/2 is divided by 9.
7
Suppose -2*f - 6 = -44. What is the remainder when f is divided by 5?
4
Let r(j) = j**2 + 6*j + 6. Let p be r(-6). Suppose -2*u + 4 = -p, -3*x + 65 = 4*u. What is the remainder when 28 is divided by x?
13
Let c = -135 + 201. Let v be (-4)/(-6) + c/9. Suppose 4 - v = -m. Calculate the remainder when m is divided by 2.
0
Suppose m = 5*k + 3*m - 18, 0 = 3*k - 5*m - 17. Suppose -5 = -k*c + 11. Suppose -1 = -c*l + 11. What is the remainder when 8 is divided by l?
2
Let b = -14 - -22. Let z(g) be the second derivative of g**4/12 + g**3/2 + 5*g**2/2 + g. What is the remainder when z(-5) is divided by b?
7
Let k(y) = y**2 + 3*y + 3. Let w be k(-3). Suppose -3*t + 5*a + 24 = 0, 0 = 2*t - 2*a + 3*a - w. Calculate the remainder when t is divided by 3.
0
Suppose -4*c = -5*c - 8. Let u = -6 - c. Suppose 3*x + 8 = 5*z, 3 - 7 = -u*z + x. Calculate the remainder when 7 is divided by z.
3
Suppose -1 - 3 = -2*r, 42 = 4*x + r. What is the remainder when 20 is divided by x?
0
Let k = -48 - -86. Let h be (-6 - -4)/((-1)/5). Let w = 3 + h. What is the remainder when k is divided by w?
12
Let c(p) = 10 + 0 - p**3 + 3*p - p + 0*p**2 - 8*p**2. What is the remainder when c(-9) is divided by 19?
16
Let d(q) = 21*q**3 - q**2 + q - 1. Let w be d(1). Suppose -3*x + w = x. Let b(g) = g**2 - 4*g - 4. Calculate the remainder when 3 is divided by b(x).
0
Let q(u) = -u**3 - 9*u**2 - 1. Let g be q(-9). What is the remainder when (g + 0)/((-2)/124) is divided by 21?
20
Let x = -18 - -6. Calculate the remainder when 57 is divided by (0 + 0 - x) + 3.
12
Let s(w) = -8*w. Let t be s(-7). Suppose t = 3*k + 5. Calculate the remainder when 50 is divided by k.
16
Suppose 0 = 4*n - k - 15, 5*n - n - 17 = -k. Calculate the remainder when n is divided by 1.
0
Suppose 0 = -7*g + 3*g + 336. Calculate the remainder when g is divided by 17.
16
What is the remainder when (-2 + (-4