Let q(i) = i**2 - i + 20. Calculate the remainder when q(0) is divided by -2*((-14)/4 - 2).
9
Let v(c) be the second derivative of 19*c**4/6 - c**2/2 - c. What is the remainder when v(-1) is divided by 19?
18
Let k(u) = -u. Let h be k(-2). Suppose -h*x + 15 = x. Suppose -4*p + x*p + 6 = 3*y, 3*y - 60 = -5*p. What is the remainder when p is divided by 5?
4
Let f = 23 - 29. Let p = f - -12. What is the remainder when p is divided by 2?
0
Suppose -3*j - 66 = -2*z + j, -z - j + 24 = 0. Calculate the remainder when z is divided by 5.
2
Suppose 2*n - 2*s = 8, -5*n + 4*s - 6 + 31 = 0. What is the remainder when n is divided by 5?
4
Let c(g) = -2*g + 8. Suppose -3*f = -4*i - 7 + 23, -i + 23 = 4*f. Let n be c(i). Let p = n + 20. Calculate the remainder when p is divided by 5.
4
Let j = -16 - -12. Let y = j - -33. What is the remainder when y is divided by 10?
9
Suppose -196 = -h - 3*h. Calculate the remainder when h is divided by (-2 + 28 - -3) + -3.
23
Let b(p) = -p**2 - 15*p + 37. Calculate the remainder when 4 is divided by b(-17).
1
Let o(g) = -12*g + 32. Calculate the remainder when o(-5) is divided by 24.
20
Suppose 0 = -m + 2*y + 59, -5*m + 3*y = 7*y - 323. What is the remainder when m is divided by 33?
30
Let u(y) = 2*y - 3. Let i = 14 + -25. Let m = -9 - i. Calculate the remainder when u(3) is divided by m.
1
Let z = -12 + 32. Let p = 35 + z. Calculate the remainder when p is divided by 19.
17
Let v be -2*(-6)/4*1. Let h = v + 1. What is the remainder when 5 is divided by h?
1
Suppose 5*h = q + 1090, -4*h - 382 = -4*q - 1254. Let l = -73 + h. Suppose -3*m = 2*m - l. What is the remainder when m is divided by 10?
9
Suppose r + 2*r = 105. Let p = r + 27. What is the remainder when p is divided by 16?
14
Let z = -13 - -54. Suppose 5 = 3*v - 0*v - n, v = -3*n + 15. Suppose v*i = 41 + 22. Calculate the remainder when z is divided by i.
20
Let t(j) = 2*j - 3. Let f be t(7). Suppose 3*h = 70 + f. What is the remainder when h is divided by 14?
13
Suppose 0 = y - 5*b - 15 - 48, -b - 195 = -4*y. Let p = 79 - y. Let j = 5 + 11. Calculate the remainder when p is divided by j.
15
Suppose -3*p + 2*p = 0. Suppose 0 = -3*v + 715 - 25. Suppose p = t - 6*t + v. What is the remainder when t is divided by 16?
14
Suppose 15 = 5*n - 2*l, -n + 16 + 5 = -4*l. Suppose -5*c + 81 = z, c + 4*z = -0*z + n. What is the remainder when 65 is divided by c?
14
Let t(b) = 3*b - 29. Calculate the remainder when 27 is divided by t(12).
6
Let z = 44 - 15. What is the remainder when z is divided by 10?
9
Let f(a) = a**3 + 5*a**2 + 4. Let b be f(-5). Let d = 12 - b. What is the remainder when d is divided by 3?
2
Suppose 0 = 5*b - 10 - 55. Suppose 2*n = 3*y - b, 3*y = -4*n - 2 + 3. What is the remainder when y is divided by 2?
1
Let i = 196 - 158. Calculate the remainder when 74 is divided by i.
36
Let u = 3 - 3. Let x be 9 + u + (-6)/3. Suppose -2*r - 75 = -3*d - x, 3*d - 63 = -3*r. Calculate the remainder when d is divided by 12.
10
Let u = 37 + 16. What is the remainder when u is divided by 19?
15
Let h(p) = 71*p**3 - p**2 + p. Calculate the remainder when h(1) is divided by 37.
34
Let o = -11 + 15. Suppose 0 = o*c + 5 - 33. What is the remainder when 20 is divided by c?
6
Suppose -2*z = -3*g + 5, g - z + 3 = 2*z. Suppose -2*f + 10 = g*f. What is the remainder when 2 is divided by f?
0
Let b = 64 - 2. Let z(h) = -h**2 - 11*h - 2. Let t = 7 - 16. What is the remainder when b is divided by z(t)?
14
Let i(q) = 4*q**3 - 3*q**2 + 7*q - 22. Let k(c) = -3*c**3 + 2*c**2 - 5*c + 15. Let n(t) = -5*i(t) - 7*k(t). What is the remainder when 8 is divided by n(0)?
3
Suppose 34 = 6*d + 16. Calculate the remainder when d is divided by 3.
0
Let r(h) = 7*h**2 + h. Calculate the remainder when (-2)/3*((-174)/12 - 5) is divided by r(1).
5
Let j(p) = 9*p**2 - 2*p + 3. Let f(d) = 8*d**2 - 3*d + 4. Let y(o) = -4*f(o) + 5*j(o). What is the remainder when y(1) is divided by 4?
2
Let b = 385 + -270. Suppose -b = -0*m - 5*m. Calculate the remainder when m is divided by 22/3 + 4/6.
7
Let o = 2 - 2. Suppose o = -g + 7 - 2. Suppose -a + 2 + 19 = 4*q, 28 = 2*a + q. What is the remainder when a is divided by g?
3
Calculate the remainder when 1*(-4 + -1) - -91 is divided by 11.
9
Suppose 5*i + 0*i - f - 87 = 0, 0 = 4*i + 4*f - 60. What is the remainder when i is divided by 10?
7
Suppose -4*v + 33 = -15. Calculate the remainder when v is divided by 5.
2
Let k = -12 - -24. Suppose k = 3*h + 6. What is the remainder when 4 is divided by h?
0
Let g(a) = -2*a**3 - a**2 - 2*a - 1. Suppose 0 = -2*d + d - 9. Calculate the remainder when g(-1) is divided by (-2)/d + (-84)/(-108).
0
Suppose 0 = -v + 6*v - 130. Calculate the remainder when v is divided by 14.
12
Suppose -u - 125 = -5*s, 5*s - 116 = -2*u + 9. Calculate the remainder when 97 is divided by s.
22
Suppose -4*d - 4 + 12 = 0. What is the remainder when 31 is divided by (-4)/(-4)*22/d?
9
Let z be (-2)/(-4) - 3/2. What is the remainder when 27 is divided by 14 + 1 + 1 + z?
12
Let u = 49 - 0. Let w = u + -24. Calculate the remainder when w is divided by 13.
12
Let x = -25 + 36. Let z(w) = 4*w**3 - w**2 + 1. What is the remainder when x is divided by z(1)?
3
Let t be 0 - (-22)/1 - 1. Let f = t - -3. Let x = 40 - f. Calculate the remainder when x is divided by 6.
4
Suppose 0 = -0*q + 2*q - 18. Suppose 20 = -f + 5*f. What is the remainder when q is divided by f?
4
Suppose p - 4 = 0, -2*p + 14 = -f + 4. Calculate the remainder when (-25)/f - 6/12 is divided by 5.
2
Suppose k - 32 = -i - 2*k, -3*k = 4*i - 173. Calculate the remainder when i is divided by (-69)/(-6) - 1/(-2).
11
Let d(k) = -k**3 + 9*k**2 + 12*k + 13. What is the remainder when d(10) is divided by 6?
3
Suppose 0 = -y - 6 + 11. Let l = y - -2. Calculate the remainder when 18 is divided by l.
4
Let g = -8 - -3. What is the remainder when (-14)/4*(g + 1) is divided by -1 - 6/(-2 - -1)?
4
Let y = 1 + -4. Let o(l) = 8*l**2 + 3*l - 4. Let x = -50 + 70. Calculate the remainder when o(y) is divided by x.
19
Let r(n) = -n**3 - 10*n**2 - 1. Let g be r(-10). Calculate the remainder when -12*(63/(-12) - g) is divided by 27.
24
Let d = -7 + 10. Suppose -3*t = d*j - 3, 0 - 2 = j. What is the remainder when (-1)/t - (-260)/6 is divided by 15?
13
Suppose 0 = -3*y + 202 - 10. What is the remainder when y is divided by 13?
12
Let y = -7 + 23. Calculate the remainder when 53 is divided by y.
5
Suppose 3*x - 20 = -2*x. Suppose 2*s - 8 = -2*k - 2*k, -s + x*k - 2 = 0. Suppose -u + 8 = -j - 0, -s*u + 2 = 5*j. What is the remainder when 10 is divided by u?
4
Let t be -3 - 12*(-8)/6. Suppose 0 = -u + 7 + t. What is the remainder when 58 is divided by u?
18
Suppose -1 + 15 = 2*g. Calculate the remainder when 16 is divided by g.
2
Let h(p) = p**2 - p + 2. Let t be h(-3). Suppose q - 2*g = t, -q - 4*g = -4*q + 52. Calculate the remainder when q is divided by 9.
6
Let t(b) = -6*b**3 - b**2 - b. Let r be t(-1). Let m(y) = y**2 - 4*y + 6. Calculate the remainder when m(r) is divided by 10.
8
Suppose -3 + 2 = p. What is the remainder when 21 is divided by 4 + -6 - 8/p?
3
Let c be (9/(-2))/((-6)/(-8)). Let m be (c/(-3) - 2) + 3. Calculate the remainder when (1*m)/((-12)/(-40)) is divided by 4.
2
Let n(o) = o**2 + 20*o - 32. Calculate the remainder when 34 is divided by n(-22).
10
Suppose 6*h = -2*y + 2*h - 98, -12 = -4*h. Let c = y + 102. Calculate the remainder when c is divided by 16/(-5)*(-10)/2.
15
Let l(w) be the first derivative of 17*w**3/3 + w**2 - 4*w - 4. Let z be l(3). Suppose -z = -6*m + m. Calculate the remainder when m is divided by 11.
9
Calculate the remainder when 10/4*1652/70 is divided by 15.
14
Let k(z) = 2*z**2 + 7*z + 14. Calculate the remainder when k(-6) is divided by 18.
8
Let b be -1 - -10*(1 + 0). Suppose -3*s = -4*p - b, -2*s = -p + s. What is the remainder when 29 is divided by (p + 2)/(2/(-20))?
9
Let q(v) = v**2 + 3*v - 10. Calculate the remainder when 15 is divided by q(-6).
7
Let p(l) = -30*l + 7. Let c(y) = -31*y + 8. Let j(r) = -5*c(r) + 6*p(r). What is the remainder when j(-1) is divided by 14?
13
Suppose -7 = -y - 0. Let k(x) = -x**3 - 2*x**2 + 2*x + 2. Let w be k(-3). Let n = y - w. Calculate the remainder when 2 is divided by n.
0
Let j(w) = -30*w - 3. Calculate the remainder when j(-7) is divid