r = f - 20. What is the remainder when 15 is divided by r?
3
Let t(x) = -x**3 - 12*x**2 - 2*x - 4. Suppose 5 = 3*i - 7. Suppose 4*j = b + 18 + 10, 0 = i*j + 4*b - 28. Calculate the remainder when t(-12) is divided by j.
6
Let n = 25 + -18. Let h = n - 4. Calculate the remainder when 11 is divided by h.
2
What is the remainder when -5*(-5)/((-25)/(-29)) is divided by 8?
5
Let t(j) = j**3 + 8*j**2 + 8*j + 7. Suppose 4*a - 34 = 5*c, 2*a = 5*c + 4*a + 28. Suppose 5 = -x + 16. Calculate the remainder when t(c) is divided by x.
9
Let u(q) = q**2 + q + 1. Let b be u(-2). Suppose k = -b*x + 4*k - 57, -4*k + 16 = 0. Let t = x - -32. Calculate the remainder when t is divided by 9.
8
Let f be 5/10*(1 - -1). What is the remainder when 4/(-2)*(f - 12) is divided by ((-24)/10 + 0)*-5?
10
Let g(z) = -z**3 + 20*z**2 - 53*z + 47. Suppose -t - t + 196 = -3*h, -3*t = 5*h + 314. Let b = h - -89. What is the remainder when b is divided by g(17)?
12
Suppose -5*a = -2*r - 0*r - 105, 4*a - 77 = 3*r. Suppose 5*v = 3*z + 52, 2*v = 3*z + 31 - 3. Calculate the remainder when a is divided by v.
7
Suppose c - 3*d = d + 38, -3*c - 3*d + 54 = 0. Calculate the remainder when 86 is divided by c.
20
Let c(t) = t**3 - 7*t**2 + 2*t + 1. Let o = -26 + 35. Calculate the remainder when c(7) is divided by o.
6
Let z(h) = h**3 + 4*h**2 + 2*h + 4. Let q be z(-3). Suppose 0 = q*f - 4*f - 78. What is the remainder when f is divided by 6*(-14)/6*-1?
12
Suppose 58 = 3*y + t - 5*t, -5*t + 22 = 3*y. Let f(s) = s - 17. Let m be f(14). Let h = 44 + m. What is the remainder when h is divided by y?
13
Suppose 0 = -3*z - 4*k + 35 + 154, 4*k = -4*z + 256. Suppose 108 = -0*t + 4*t. Let h = z - t. What is the remainder when h is divided by 14?
12
Suppose 4*u - 17 = -3*y + 4, 2*y = -4*u + 22. Let j = 48 - 32. What is the remainder when j is divided by u?
4
Suppose 2*g = -4*c, -2*g + 3*g + 4*c + 10 = 0. Suppose -2*d - 5*m + 29 = -d, -5*m = -2*d + 88. Calculate the remainder when d is divided by g.
9
Suppose 0 = 3*x - 5*o + 7, -4 = o - 3. Let f be (2 - (-2 - x))*-1. Suppose f = 2*z + 3*z - 70. What is the remainder when z is divided by 8?
6
Let p = -56 - -69. What is the remainder when 24 is divided by p?
11
Let m = -6 + 27. What is the remainder when 81 is divided by m?
18
Suppose 17*o - 12*o = 815. What is the remainder when o is divided by 41?
40
Suppose 25 = 3*s - 4*m, -5*s - 2*m + 100 = 3*m. What is the remainder when s is divided by 9?
6
Suppose -2*z = 2*z - 8. Suppose -6 = -3*i + g, 5*g = -0*i - 5*i + 10. Calculate the remainder when z is divided by i.
0
Let z = 6 + -11. Let b = 4 - z. What is the remainder when b is divided by 6?
3
Let t(g) = g**3 - 5*g**2 - 10*g + 13. Suppose 0 = 2*x - 7 + 3. Suppose -x*k = -6 - 22. Calculate the remainder when t(7) is divided by k.
13
Let j = -6 - -8. Suppose -i - 44 = -j*i. Calculate the remainder when i is divided by 15.
14
Suppose 5*w = -s + 31, -4 = -3*w + 3*s + 11. What is the remainder when w is divided by 2?
0
Let b = -42 - -65. Calculate the remainder when 43 is divided by b.
20
Let q(r) = 0*r - r + 3*r**2 + 0*r**2. Let h(l) = 2*l**3 - 3*l**2 + 3*l - 1. Let y be h(1). Calculate the remainder when 4 is divided by q(y).
0
Let g(j) = 4*j**2 + 4*j + 2. Let p be g(-3). Suppose p + 0 = 2*d. Calculate the remainder when 38 is divided by d.
12
Let g = 70 - 37. Calculate the remainder when 129 is divided by g.
30
Let w = -2 - -3. Suppose 5*m + 5*f = 25, 0 = m + f + f - 7. Let h(x) = -x**3 + 3*x**2 + 1. Calculate the remainder when h(m) is divided by w.
0
Let i = 56 + -24. Calculate the remainder when 156 is divided by i.
28
Suppose -3 - 77 = -5*k. Calculate the remainder when 77 is divided by k.
13
Let z = -17 - -9. Let t(m) = -m**3 - 5*m**2 - 8. Let k be t(-6). Let p = k + z. Calculate the remainder when p is divided by 11.
9
What is the remainder when 50 is divided by (-10)/(-45) + (-25)/(-9) - -10?
11
Let u = -18 + -5. Let l = u - -38. Calculate the remainder when 41 is divided by l.
11
Let s(n) = -3*n**3 - 3*n**2 + 5*n + 4. Let l be s(-3). Suppose -5*r + 3*r = 5*q - l, 3*q = -3*r + 33. Calculate the remainder when q is divided by 2.
1
Suppose 5 = u - 14. Let s = 40 - u. Calculate the remainder when 41 is divided by s.
20
Let s(n) = -9*n**2 - 32. Let m(q) = 14 + 7 - 5 + 5*q**2. Let i(c) = -11*m(c) - 6*s(c). Calculate the remainder when i(0) is divided by 9.
7
Suppose -2*q + y + 103 = 4*y, 3*q + 3*y = 150. Calculate the remainder when q is divided by 25.
22
Suppose 3*k - 312 = -5*x, 3*x - 66 = 2*k + 106. What is the remainder when x is divided by 21?
18
Let h(q) = q**3 + 12*q**2 + 9*q - 10. Calculate the remainder when 45 is divided by h(-11).
9
Let c(w) = 4*w**2 - 3*w - 3. What is the remainder when 94 is divided by c(3)?
22
Suppose 0 = -2*i + 7 - 1. Calculate the remainder when 69 is divided by (i - 0)/(-1) + 21.
15
Suppose -2*h + 0 = -16. Let x = -17 + 29. What is the remainder when x is divided by h?
4
Let c(o) = -o**3 - 11*o**2 + 11*o + 1. Calculate the remainder when c(-12) is divided by 3.
1
Let y = 90 - 64. Suppose p - 13 = -4. What is the remainder when y is divided by p?
8
Suppose 5*c - 103 = -4*t, -6*c + 2*t + 121 = -c. Let b = -10 + 9. Let r = 7 - b. Calculate the remainder when c is divided by r.
7
Suppose -2*p + 71 + 17 = 0. Suppose 4*z = -12, x - 5*x - 4*z - 112 = 0. Let y = x + p. What is the remainder when y is divided by 7?
5
Let w be (1 - 1)/((-1)/(-1)). Suppose w = b, -4*k + 30 = -k + 3*b. What is the remainder when 28 is divided by k?
8
Suppose 10 = 3*o - 23. What is the remainder when 20 is divided by o?
9
Let m = -44 + 92. What is the remainder when m is divided by 25?
23
Let u be ((-2)/(-8))/((-5)/(-60)). Let v = 4 + u. What is the remainder when 13 is divided by v?
6
Let a(o) = o**2 + 2*o - o - o. Calculate the remainder when a(2) is divided by 3.
1
Let s be (-8 - (-4)/2)*1. Suppose 5*z - 2 = -12, 4*z + 168 = 4*h. What is the remainder when h is divided by (3/s)/((-2)/56)?
12
Suppose -3*f + 5 = -1. Suppose c + f*b - 24 = -c, c + 6 = 5*b. What is the remainder when 24 is divided by c?
6
Let y(p) = -13*p + 3. Let s(z) = -12*z + 2. Let k(l) = 7*s(l) - 6*y(l). Let o be (-7)/(-3 + (-4)/(-1)). What is the remainder when k(o) is divided by 20?
18
Calculate the remainder when 2 + 1 - (-68 - 0) is divided by 18.
17
Suppose 5*g + 248 = 938. Calculate the remainder when g is divided by 47.
44
Let m(p) = p**3 - p**2 - 1. Let d be m(2). What is the remainder when 13 is divided by -5*(d - 5 - -1)?
3
Let j be (4/10)/((-3)/720). Let s = j + 137. Calculate the remainder when s is divided by 14.
13
Let a = 80 + -56. What is the remainder when 93 is divided by a?
21
Let k(c) = -20*c - 7. Calculate the remainder when k(-3) is divided by 14.
11
Suppose z - 1 = -4*p + 8, 2*z - 62 = 3*p. What is the remainder when z is divided by 9?
7
Suppose -22 = -4*g - 6. Suppose 3*i + b = 15 + 15, -3*i = 3*b - 30. Calculate the remainder when i is divided by g.
2
Let g(p) = -p**2 - 9*p - 6. Suppose -138 - 26 = -4*x. Calculate the remainder when x is divided by g(-4).
13
Calculate the remainder when 21 is divided by 5 + (-6)/(-4)*2.
5
Let q(u) = -4*u - 1. Let v = 6 + -10. Calculate the remainder when 43 is divided by q(v).
13
Let m = -39 + 127. What is the remainder when m is divided by 23?
19
Suppose 4*f - 6 = -3*t + 2*f, -2*t + 3*f = -4. Suppose t*v + 110 = 4*v. What is the remainder when v is divided by 19?
17
Let q = -12 - -7. Let c(y) = -y**3 - 5*y**2 + 7. Calculate the remainder when 12 is divided by c(q).
5
Suppose s - 6*s + 58 = 2*t, -3*s + 69 = 3*t. Suppose -2*w = 2*v - 68, 2*w - 74 = 3*v + v. What is the remainder when w is divided by t?
16
Suppose -5*h = 3 - 23. Suppose q + 10 = -2*q - 4*d, -h*q + d = -12. Suppose 0 = q*p + p - 15. Calculate the remainder when 17 is divided by p.
2
Suppose -5*j = -j - 208. Calculate the remainder when j is divided by 18.
16
Let s(o) be the first derivative of -o**2 - 6*o + 2. What is the remainder when 46 is divided by s(-9)?
10
Suppose -3*z + 63 + 114 = 0. Suppose z = 2*f - m, -f - 2*m + 11 = -6. Let j(t) = -2*t**3 - 4*t**2 - 4. What is the remainder when f is divided by j(-3)?
13
Let f be (-4 - -7)/((-1)/2). Calculate the remainder when f/(-2)*275/15 is divided by 14.
13
Let q = 2 + 3. Calculate the remainder when q is