divided by t.
3
Let u(v) = v**2 - 7*v + 1. Let c be (-26)/(-6) - (-2)/3. Suppose 0 = 7*h - 2*h - c. What is the remainder when h is divided by u(7)?
0
Let q(v) = v**3 + 7*v**2 + 5*v + 5. Calculate the remainder when 20 is divided by q(-6).
9
Let b(h) = -h**3 + 5*h**2 - 5*h + 5. Let t be b(4). Let j = 3 + t. What is the remainder when 6 is divided by j?
2
Let g be (-4)/2*6/(-4). Suppose -463 = -5*n + g*x - 123, -3*x = -4*n + 269. Suppose -3*z = 23 - n. What is the remainder when 46 is divided by z?
14
Let b = 1 + -1. Suppose b = o - 4*o + 4*k + 32, 5*o = 5*k + 55. What is the remainder when 34 is divided by o?
10
Let c(h) = 4*h - 1. Calculate the remainder when c(1) is divided by 2.
1
Suppose -5*d = 4*s - 483, 3*s = d + s - 91. Calculate the remainder when d is divided by 32.
31
Suppose o - 23 - 75 = 0. Calculate the remainder when o is divided by 10.
8
Let j = -68 - -71. What is the remainder when 20 is divided by j?
2
Suppose -3*x + 4*x - 8 = 5*h, -x - 4*h = -44. What is the remainder when 53 is divided by x?
25
Suppose -m + 443 = 3*n + 166, m - 465 = -5*n. Calculate the remainder when n is divided by 24.
22
Let c(w) = 15*w. Let q = 18 - 17. What is the remainder when c(q) is divided by 8?
7
Let f = -15 + 57. What is the remainder when f is divided by 15?
12
Suppose 45 = -i + 4*i. What is the remainder when 72 is divided by i?
12
Let v(h) = -7*h**3 - 2*h**2 - 2*h - 1. Let p be v(-1). Let m(i) = i**3 - 5*i**2 - 4*i - 3. What is the remainder when 24 is divided by m(p)?
6
Suppose -4*p = -z + 7 - 24, -3*p + 5*z = 0. What is the remainder when p is divided by 2?
1
Let m = 21 - 21. Suppose -3*w + 53 = -n, m*n - 5*n = -w - 1. Suppose 57 = p + 3. Calculate the remainder when p is divided by w.
16
Suppose 4*p = 5*a + 13, -2*p + 3 = p + 3*a. Calculate the remainder when 3 is divided by p.
1
Let c = 11 - -9. Calculate the remainder when 37 is divided by c.
17
Let x be (-16)/10 - (-4)/(-10). Calculate the remainder when 19 is divided by (x/(-6))/(2/30).
4
What is the remainder when (-504)/(-10) + (-15)/(-25) is divided by 26?
25
Let h(a) be the third derivative of a**5/60 - a**4/4 + 2*a**3/3 + a**2. Let v = -18 + 50. What is the remainder when v is divided by h(7)?
10
Let u = 12 + -6. Let m be 2 - (25 - (-1 - -1)). Let s = -12 - m. What is the remainder when s is divided by u?
5
Let p(d) be the third derivative of -d**5/60 + d**3/2 + 2*d**2. Let x be p(0). Suppose x*c - 43 - 20 = 0. Calculate the remainder when c is divided by 11.
10
Suppose -4*m + 76 = -2*m. Let o = -6 - -9. What is the remainder when m is divided by 12 + 3 + o + 2?
18
Suppose -7*v + 360 = v. Calculate the remainder when 312 is divided by v.
42
Suppose 0 = -6*r + 5*r - 9. Calculate the remainder when 148/3 - 6/r is divided by 17.
16
Suppose -31 - 1 = -2*p. Suppose -4 - p = -5*m. Suppose n + 2*y - 6 = m, -4*y = n - 8. Calculate the remainder when 34 is divided by n.
10
Suppose -2*t - 12 = -4*t. What is the remainder when 23 is divided by t?
5
Suppose -2*c - 1 = -2*m + 3*m, -c = 4*m + 32. Let o(y) = -y**3 - 8*y**2 + 7*y - 2. What is the remainder when 31 is divided by o(m)?
15
Suppose 3*v + 2*v + 3*r - 871 = 0, -4 = -2*r. Calculate the remainder when v is divided by 44.
41
Let n = -106 + 142. What is the remainder when 175 is divided by n?
31
Let g(s) = 73*s + 4. Let p be g(3). Suppose -4*h + 3*d = 260, -d - p = 4*h + 21. Let v = 104 + h. Calculate the remainder when v is divided by 22.
20
Suppose 0*u - 2*s = -4*u + 8, -4*s - 6 = 2*u. Let y = 2 + u. Calculate the remainder when (-24)/(-2)*4/y is divided by 9.
7
Suppose 9 = -p + 2*p + t, 3*p + 5*t = 35. Suppose p*w - 85 = 20. Calculate the remainder when w is divided by 12.
9
Suppose 8*d - 6 = 11*d. Let m = -8 + 18. What is the remainder when d/(3/57*-1) is divided by m?
8
Suppose -72 = -5*l + l. Let c = -296 + 348. What is the remainder when c is divided by l?
16
Let i(f) = f**3 - 7*f**2 + f + 2. What is the remainder when 24 is divided by i(7)?
6
Let i(u) = -u**2 - 15*u - 16. Let q be i(-11). Let g be 17/4 - (-21)/q. Suppose g*r = 3*r + 16. What is the remainder when 14 is divided by r?
6
Calculate the remainder when 47 - ((-4)/2)/1 is divided by 13.
10
Suppose -4*l - 2*n = -3 - 127, l + 3*n - 40 = 0. Calculate the remainder when l is divided by 16.
15
Suppose -3*j + 27 = 3*x, -24 = -2*x + 3*j + 9. Calculate the remainder when x is divided by 6.
0
Let t(p) = -p**3 - p**2 + p - 2. Let u be t(0). Let m(d) = 4*d**2 + 4*d + 2. What is the remainder when (-20)/15*459/(-36) is divided by m(u)?
7
Let a(z) = -z**2 - 6*z - 5. Suppose -12 + 4 = -4*d. Suppose 3*u - 2 = d*u. What is the remainder when a(-4) is divided by u?
1
Suppose 0 = k - 13 - 23. Suppose 4*b + 2 = 3*b. What is the remainder when k + (-3)/2*b is divided by 20?
19
Let f = 21 + -10. Suppose 0*m = 4*m. Suppose -44 + 10 = -u + 3*z, m = 5*u + z - 154. Calculate the remainder when u is divided by f.
9
What is the remainder when 52 is divided by (2 - 10) + 4 - (0 - 18)?
10
Let l = 55 + 0. Calculate the remainder when l is divided by -3*((-38)/6 - 0).
17
Let s be ((-24)/(-84))/((-2)/(-14)). Let x be (-1)/(-3) - 2/6. Suppose x = s*h - h - 27. Calculate the remainder when h is divided by 14.
13
Let r = -5 - -8. Suppose 30 = 4*h + 2*w, r*w + 2*w - 39 = -4*h. Suppose 5*q + 10 = 0, q - 2 = -5*f + h. Calculate the remainder when 2 is divided by f.
0
Let z(g) = -g**2 - 6*g - 1. Let t be z(-5). Let s(l) = l + 15*l**2 - 2*l + t*l + l**3 - 8*l**2. Calculate the remainder when 35 is divided by s(-6).
17
Suppose -14 = -2*w + 4. Calculate the remainder when w is divided by 3.
0
Suppose 0 = 5*j - 9 - 11. Suppose -6 = -5*a + j. Suppose 5*p + v = 22, v + 1 = -2. Calculate the remainder when p is divided by a.
1
Let d = -1 + 7. Suppose 6 = 4*a - d. Calculate the remainder when a is divided by 2.
1
Let y = 7 + 1. Let w(z) = -z**3 + 9*z**2 - 6*z - 5. Calculate the remainder when w(y) is divided by 6.
5
Let m(l) = 11*l**2 + 2. Calculate the remainder when 57 is divided by m(-1).
5
Let t = -45 - -67. Let r(h) = -h**3 + 11*h**2 - 5*h + 9. Let q be r(9). Suppose z = -2*z + q. Calculate the remainder when z is divided by t.
20
Let v = 33 + -20. What is the remainder when (-53 + 4)/(0 - 1) is divided by v?
10
Calculate the remainder when 9 is divided by 69/12 - (-1)/4.
3
Calculate the remainder when -1*10*(-13 - -6) is divided by 24.
22
Suppose 2*k + 6 = -4*u, -k - u - 6 = 2*u. What is the remainder when ((-1)/2)/(2/(-12)) is divided by k?
0
Let g(q) = 3*q**3 - 4*q + 12*q + 5*q**2 - 4*q**3 + 4. Let d = -43 - -52. Calculate the remainder when g(6) is divided by d.
7
Let l(n) = 5*n**2 - 3*n + 2. Let c be l(2). Suppose 0 = -2*a - 2*a + c. Calculate the remainder when 13 is divided by a.
1
Suppose -5*s - t + 170 = 0, -t = -5*s + t + 185. Calculate the remainder when 102 is divided by s.
32
Let b be 2 - (-2 - (6 + 1)). Let q = -8 + b. Suppose -q*d + 9 = -42. Calculate the remainder when d is divided by 6.
5
Suppose g - 66 = -u, 2*g = 2*u - 114 - 38. What is the remainder when u is divided by 12?
11
Suppose 3*o - 4*v = 5, -3 = 2*o - 4*v - 1. Calculate the remainder when o is divided by 2.
1
Suppose -2*c - 3*o = -112, 2*c = 5*o + 72 + 72. Calculate the remainder when c is divided by 16.
14
Let p = 30 + -12. Let b = p + -10. Let q(j) = 4*j - 5. What is the remainder when q(b) is divided by 14?
13
Let z(n) = -n**3 - 4*n**2 - n - 3. Let m(t) = -t**2 - 6*t - 5. Let s be m(-5). What is the remainder when -2 - (s + 1 + -5) is divided by z(-4)?
0
Let k(m) = m**2 - 4*m - 7. Let i be k(5). Let x = -11 - -29. Calculate the remainder when ((-7)/i)/((-2)/(-20)) is divided by x.
17
Let h = 116 - 69. What is the remainder when h is divided by 7?
5
Let t be -1*(-2)/(0 + 2). Let c = 4 - t. Let x(p) = 2*p - 3. What is the remainder when 5 is divided by x(c)?
2
Let k be 2/(12/(-21))*-2. Let q(c) = 2*c**2 + 2*c - 7. Let n be q(k). Suppose y - n = -2*y. What is the remainder when y is divided by 12?
11
Suppose -14 = 5*k - 4. Let i be (3 + -36)/(3/k). Suppose 6 = -g + i. Calculate the remainder when g is divided by 6.
4
Suppose 4*h - 54 = -174. Let i be ((-12)/h)/((-1)/(-65)). Suppose 5*f = 4*n + 168, n + 2*n = -f + i. Calculate the remainder when f is divided by 17.
15
Suppose 6*r = r + 60. Suppose l + 4 = 2*f, 0 = 4*f - 5*l - r + 4