the remainder when (68/12)/(1/3) is divided by p?
2
Suppose -2*c - 2*f = -16, -f - 2 = -1. Calculate the remainder when 20 is divided by c.
2
Let l(w) = 2*w - 2. Let y be l(4). Suppose y = 2*m - m. What is the remainder when 10 is divided by m?
4
What is the remainder when 10 is divided by -16*4/(-8) - 4?
2
Suppose 2*m + 2 = 0, 2*y + 2*m = 4*m + 66. What is the remainder when y is divided by 7?
4
Let s(c) = 2*c - 11. Let m be s(8). Let f be 2 + (1 - 0)/(-1). Suppose m*p - 4 = f. What is the remainder when p is divided by 1?
0
Let c = 18 - 25. Let q = c + 10. Calculate the remainder when 4 is divided by q.
1
Suppose 115 = -6*z + 7*z. Suppose f - z = -4*f. Let q = f + -16. Calculate the remainder when q is divided by 3.
1
Suppose 3*a + 3 = -2*q, 8*q - 3*q = 5*a + 30. Calculate the remainder when (-45)/a - (0 - 0) is divided by 4/22 + 516/66.
7
Let u(y) = 2*y - 1. Let g(h) = -h**2 + h. Let o be g(0). Suppose -4*s - 3*q = -86, -6*q + q + 10 = o. Calculate the remainder when s is divided by u(6).
9
Let y be 2/2 - (-1 + -1). What is the remainder when 50 is divided by 1/(y - (-114)/(-39))?
11
Let h = 16 - -4. Calculate the remainder when 37 is divided by h.
17
Let m = 30 - 17. What is the remainder when m is divided by 7?
6
Suppose -s - s - 5*i + 7 = 0, 3*s = 3*i + 21. Calculate the remainder when 7 is divided by s.
1
Let g = -2 + -2. Let q(z) = -4*z + 4. Let o = 9 + 2. What is the remainder when q(g) is divided by o?
9
Let h(r) = -4*r**2 - 9*r + 1. Let x = -6 - 0. Let v(y) = 5*y**2 + 9*y - 1. Let c(z) = x*h(z) - 5*v(z). Calculate the remainder when 36 is divided by c(4).
17
Let p(k) = 4*k**2 + 8*k + 2. Calculate the remainder when 67 is divided by p(-3).
11
Let t be ((-3)/2)/((-3)/4). Suppose 10 = t*d - 0*d. Suppose 2*x = w + 88, d*x - 2*w + 0*w = 220. Calculate the remainder when x is divided by 15.
14
Suppose 2*y - 135 = -3*y. Suppose o = 4*o + r + 28, -2*o + r - y = 0. Let d = -4 - o. Calculate the remainder when 19 is divided by d.
5
Suppose 100 = 9*k - 7*k. Suppose -l = -k + 2. Suppose 0*v + l = 4*v. What is the remainder when 23 is divided by v?
11
Suppose -28 = -0*n - 4*n. What is the remainder when n is divided by 2 + -2 + 5 + -1?
3
Let q(n) = -2*n. What is the remainder when 19 is divided by q(-2)?
3
Let f(l) = l**2 - l + 5. Let o = 0 - 0. Suppose o*y = 5*y + s - 50, -2*y - 4*s = -38. What is the remainder when f(5) is divided by y?
7
Let p(z) = z**2 - 3*z. Let l be p(4). Suppose -l*i = -4 - 4. Let f(w) = w**3 + 2*w**2 - 4*w - 1. Calculate the remainder when i is divided by f(-3).
0
Let d(k) = k + 20. Calculate the remainder when d(-12) is divided by 5.
3
Suppose -15 = -5*u + 35. Calculate the remainder when u is divided by 4.
2
Suppose 2*f = 5*h + 173, -f + 76 = -h + 2*h. Calculate the remainder when f is divided by 20.
19
Let r(q) = -2*q + 64 + 4*q - q. Suppose -46 + 2 = -2*g. Calculate the remainder when r(0) is divided by g.
20
Suppose -3*s + s = -p - 19, 2*s = -3*p + 39. What is the remainder when 47 is divided by s?
11
Calculate the remainder when (140/15 + -2)*3 is divided by 12.
10
Let r = 1 + 10. Calculate the remainder when 42 is divided by r.
9
Let w(g) = -4*g**2 - 6*g - 12. Let k be w(-9). Let t = k - -435. Let l = t + -100. Calculate the remainder when l is divided by 18.
17
Suppose 2*s - 190 = -4*z, 3*s - 139 - 50 = -4*z. Suppose 2*h = 5*h - z. What is the remainder when 31 is divided by h?
15
Let i be (-1)/3 + (-520)/24. Let g = i + 31. Calculate the remainder when 25 is divided by g.
7
Let g be (-2 - 0) + (-283 - -3). What is the remainder when g/(-8) + (-3)/12 is divided by 18?
17
Let w = -18 - -16. Calculate the remainder when ((-638)/(-33))/(w/(-3)) is divided by 15.
14
Let l = 0 - -4. Let w = 3 - 12. Let r = -3 - w. Calculate the remainder when r is divided by l.
2
Let f = 68 - -8. Calculate the remainder when f is divided by 13.
11
Let x = 14 + -7. Calculate the remainder when x is divided by 15/5*4/3.
3
Let w be (-391)/(-2) + (-2)/4. What is the remainder when w/12 + 9/12 is divided by 10?
7
Suppose 4*l - 4*w - 285 + 45 = 0, w = 4*l - 240. Calculate the remainder when l is divided by 7.
4
Let z(w) = 5*w**2 - 24*w + 3. What is the remainder when z(7) is divided by 28?
24
Let o(d) = -14*d - 3. What is the remainder when o(-2) is divided by (1 + 2)/(9/39)?
12
Suppose -9*l - 120 = -24*l. Calculate the remainder when 16 is divided by l.
0
Let d(k) = k - 1. Calculate the remainder when d(6) is divided by (7 - (2 - -1)) + -2.
1
Let v(l) = l**2 - 4*l + 2. Suppose 0 = -0*q + 4*q - 48. Calculate the remainder when v(-4) is divided by q.
10
Suppose 0 = 7*a - 3*a - 4. Let l = a + 3. Suppose -5*m + 3*i + 18 = 0, -3*i + 44 - 14 = 3*m. What is the remainder when m is divided by l?
2
Calculate the remainder when ((-4)/6)/(330/333 - 1) is divided by 15.
14
Let s = 7 + -5. Calculate the remainder when 7 is divided by s.
1
Let a(f) = -9*f + 1. Let r be a(-3). Suppose 0 = 6*k - 4*k - r. What is the remainder when k is divided by 5?
4
Suppose -5*q + 265 = -t - 4*t, 3*q + 2*t - 144 = 0. Let d(k) = k**3 + 7*k**2 - 10*k + 10. Calculate the remainder when q is divided by d(-8).
24
Suppose 2*d - d = -18. Let z be d + -1 + -1 + 4. Let h = -6 - z. Calculate the remainder when 29 is divided by h.
9
Suppose 0 = o - 4*o + 12. Calculate the remainder when 5 is divided by o.
1
Let m = -6 + 10. Calculate the remainder when (-2 - (-2 - -13))*(3 + -4) is divided by m.
1
Suppose -5*i + 22 = -j, j + 2 = -3*i + 4*i. Suppose -i*o + o + 36 = 0. What is the remainder when 33 is divided by o?
6
Let f = -22 + -74. What is the remainder when (-160)/(-6)*f/(-40) is divided by 22?
20
Suppose 4*z + 166 = 6*z. Calculate the remainder when z is divided by 21.
20
What is the remainder when 99 is divided by 672/20 + (-4)/(-10)?
31
Let m(y) = -y**3 + 15*y**2 + 2*y - 23. Suppose -i - 25 = -2*i - 5*r, -3*r + 100 = 4*i. Calculate the remainder when i is divided by m(15).
4
Suppose 5*h - 71 = -s, -526 = -5*s + 2*h - 171. Calculate the remainder when s is divided by 26.
19
Suppose x - 7 = 3*f, -10 = 2*f - 2*x - 0*x. Let p be (-2)/7 - 94/14. Let z = f - p. What is the remainder when 17 is divided by z?
5
Suppose 4*q = q + 2*p + 22, -5*p = 3*q - 29. Suppose 3*k - 2*x - q = k, -5*x + 34 = k. What is the remainder when -8*-1*6/3 is divided by k?
7
Let b be 9/4 + 1/(-4). Let z(l) = -39*l**2 + 3*l + 7. Let n(m) = 19*m**2 - m - 3. Let d(i) = b*z(i) + 5*n(i). What is the remainder when d(1) is divided by 9?
8
Let j(r) = -r**3 - 4*r**2 + 3*r. Let z be j(-5). Suppose z = 2*w - 40. What is the remainder when w is divided by 2*3/3 + 7?
7
Let r be (-4)/(((-3)/3)/(-1)). Suppose 2*l - 3*i = 22, 5*i = -4*l - 0*l + 66. Calculate the remainder when 4 is divided by r/l - 16/(-7).
0
Suppose -n - 42 + 164 = 0. What is the remainder when n is divided by 31?
29
Let n(j) be the first derivative of -12*j**2 - j - 3. What is the remainder when n(-1) is divided by 12?
11
Suppose 0 = -0*s + 5*s - 30. Let x = s - 4. Suppose x*y = -c + 10, -28 = -3*c - 4*y - 0*y. What is the remainder when c is divided by 5?
3
Suppose -3*y = -1 + 4. Let c be (y/2)/((-1)/14). Suppose l = 0, c*l = 3*b + 3*l - 96. Calculate the remainder when b is divided by 17.
15
Let k(s) = -2*s + 1. Let c be k(2). Let w = 23 + c. What is the remainder when 39 is divided by w?
19
Let l = 13 - 9. Suppose 2*y = 5*n + 5*y - 81, l*y = n - 7. Calculate the remainder when 29 is divided by n.
14
Suppose -3*i = 4*a, 5*i - a - 11 - 12 = 0. Suppose p = i*p - 84. Calculate the remainder when p is divided by 10.
8
Suppose -5*u + 8 = -u. Suppose -19 + u = -2*y - 5*k, k = 5. Let z(l) = -3*l - 4. What is the remainder when z(y) is divided by 5?
3
Suppose 5*k + 0*k = -10. Let h = 5 + k. Calculate the remainder when 5 is divided by h.
2
Suppose -4*y = -3*y + 1. Let b(r) = r - 5. Let g be b(15). What is the remainder when 11 is divided by (8/g)/(y/(-5))?
3
Let z(s) = s**3 + 4*s**2. Let j be z(-3). Let q(b) = 2*b + 13. What is the remainder when q(j) is divided by 11?
9
Let u be 1/(-3)*(-60)/4. Suppose -3*w = -w + u*f - 16, 2*w - 20 = -3*f. What is the remainder when w is divided by 8?
5
Suppose -3*a + 136 = -17. What is the remainder when a is divided by 27?
24
Let a(u) = -u**2 - 5*u - 3. Let i be a(-4). Let h be -3*(i + (-82)/6). Let p = -27 + h. Wha