t derivative of k**4/4 - 8*k**3/3 + 7*k - 3. What is the remainder when a(9) is divided by 30?
28
Suppose v = 5*o + 23, 4*v - v - 5*o = 29. Calculate the remainder when v is divided by 2.
1
Suppose 2*a - 20 = -2*a. Let i = 11 - a. Calculate the remainder when 16 is divided by i.
4
Let x = -30 - -36. Calculate the remainder when 51 is divided by x.
3
Let t be 1397/9 - 2/9. What is the remainder when 33 is divided by t/9 - (-2)/(-9)?
16
Suppose 52 = 2*f + 24. Calculate the remainder when 25 is divided by f.
11
Let r = 13 - 8. Suppose u - 19 = 5*v, r*u - v - 14 = -3*v. Suppose 2*a = h + 2*h - 27, 3*h = u*a + 33. Calculate the remainder when 19 is divided by h.
5
Suppose -5*m = -9*m + 172. Suppose b - 5*b - 4*y + 24 = 0, 3*b = 4*y + 53. What is the remainder when m is divided by b?
10
Suppose -2*q + 4*q = -5*p + 151, 3*p = -4*q + 295. Let d = -331 - -350. Calculate the remainder when q is divided by d.
16
Suppose -g - 24 = -3*f, 0 = g - 2*f + 4*f + 9. Let t = g + 35. Suppose -t = 3*j - 8*j. Calculate the remainder when j is divided by 3.
1
Let i be (-2 + 0 - -1)*4. Let o be (-3)/(-6) + 10/i. Calculate the remainder when 8 is divided by (-11)/(-2) - o/(-4).
3
Let x = 10 + -6. Suppose 0 = -6*q + x*q. Suppose q*v = 5*v - 95. Calculate the remainder when 55 is divided by v.
17
Let r = 5 - 8. Let n be 0/(2/(r + 2)). What is the remainder when n + 0 - (1 + -43) is divided by 22?
20
Let q be (20/(-6))/(2/(-3)). Let x(y) = -1 + 0*y + q*y - 3*y. Calculate the remainder when x(3) is divided by 2.
1
Let s(n) = 2*n**3 - 5*n**2 + 5*n - 2. Let d(t) = 3*t - 7. Calculate the remainder when s(3) is divided by d(5).
6
Let d(f) = -f**2 - 13*f + 15. What is the remainder when 73 is divided by d(-11)?
36
Let l(q) = -q**3 + 2*q**2 + q. Let i be l(2). Let k = -34 + 59. Let u = k - i. What is the remainder when u is divided by 13?
10
Let z(q) = q**3 - 4*q**2 - q. Let s be 1412/6 - (-10)/15. Suppose 0 = -3*w - w + s. What is the remainder when w is divided by z(5)?
19
Let y be ((-20)/(-15))/(2/3). Suppose -3*s - 5*j + 0*j = -53, 2*s - y = 5*j. Calculate the remainder when 21 is divided by s.
10
Let i = 8 - 15. Let n = -8 - i. Calculate the remainder when 51 is divided by (7 - -6)*(2 + n).
12
Let a be 3*13 + 4/4. Suppose a = 4*u - f - f, -4*f = 3*u - 8. Calculate the remainder when u is divided by 5.
3
Suppose 0 = 4*u - 1 - 23. Calculate the remainder when 136/12 + 2/(-6) is divided by u.
5
Let s(g) = g**3 + 6*g**2 + 5*g + 2. Let v be s(-2). Suppose 2*i = -v, x - i - 17 = -0*i. Calculate the remainder when 45 is divided by x.
6
What is the remainder when 54 is divided by (-8)/(-24) - (-1 - (-58)/(-6))?
10
Let i = 118 + -30. Suppose i + 16 = 4*d. Let j(p) = -2*p**2 - 43*p - 10. What is the remainder when j(-20) is divided by d?
24
Let y(t) = 31*t**2 - 2*t + 1. Calculate the remainder when y(1) is divided by 9.
3
Let s be (-10)/(-75) - 1453/(-15). Suppose -7 = 5*d - s. Calculate the remainder when 70 is divided by d.
16
Suppose -17 - 3 = -5*x. Let w(q) = -q**3 + 4*q**2 + q. Calculate the remainder when w(x) is divided by 3.
1
Let d(s) = -s**2 + 8*s + 6. Let r be 1/(-3) - (-125)/15. Calculate the remainder when 21 is divided by d(r).
3
Let y be (-6 + -2)/((-6)/9). Suppose 2*m - 2 = r, 4*r - 4 = 3*m - y. Let d = 5 - m. What is the remainder when 14 is divided by d?
4
Calculate the remainder when 109 is divided by -1*(-2)/(-4) - (-66)/4.
13
Let w = -7 + 11. Suppose -6 = 2*a + w*y, 2*a + 0*a - 29 = 3*y. Calculate the remainder when 20 is divided by a.
6
Suppose -l = 1 - 4. What is the remainder when 43 is divided by 1/l + (-288)/(-27)?
10
Let o(z) = -z**2 + 12*z - 10. What is the remainder when 47 is divided by o(9)?
13
What is the remainder when 1 + 1 - -23 - 4 is divided by 4?
1
Suppose 0 = -k - f, 8 = -3*k - 0*f - 5*f. Suppose -c - 4*l + 33 = 0, 5*l - 5 = c + 7. Calculate the remainder when c is divided by k.
1
Let o(w) = -w**2 + 3*w + 7. Let z = 0 + 1. What is the remainder when o(4) is divided by z?
0
Suppose 55 = 5*u - 3*c, -5*u + 4*c + c + 55 = 0. What is the remainder when 40 is divided by u?
7
Let t = 45 + -21. Calculate the remainder when 46 is divided by t.
22
Suppose -4*n = 2*x - 76, -4*n = -n + 15. Suppose 8 = 4*l - x. Suppose 3*v - l = -a, 5*v = 4*a - 6 + 1. What is the remainder when 5 is divided by v?
2
Calculate the remainder when 69 is divided by 422/12 - 12/72.
34
Let b(h) = 52*h**2 + h + 1. Suppose 3*v - 5*g - 22 = 0, 3*g = 4*v - 0 - 11. Calculate the remainder when b(v) is divided by 18/(3/12*4).
16
Let g = -47 - -98. What is the remainder when g is divided by 18?
15
Calculate the remainder when 13 is divided by 3/3 + 21/3.
5
Let t(i) = -9*i**3 - 2*i - 1. Let a be t(-1). What is the remainder when 8 is divided by a/3*3/2?
3
Let c(k) = k + 19. What is the remainder when 82 is divided by c(10)?
24
Let a = -3 - -8. Suppose -114 = 3*z - a*z. What is the remainder when z is divided by 20?
17
Let z = 64 - 20. Suppose h + z = 2*h. Suppose 0 = -2*t + h + 26. Calculate the remainder when t is divided by 9.
8
Let u = -25 + 48. What is the remainder when u is divided by 6?
5
Let h(x) = x**3 + 7*x**2 - 5*x - 10. What is the remainder when h(-7) is divided by 13?
12
Let r(n) = 5*n - 2. What is the remainder when 274 is divided by r(5)?
21
Suppose -4*d - 81 = -33. Let w(o) = o - 2. Let n be w(-1). Let q = n - d. Calculate the remainder when 16 is divided by q.
7
Let y = -8 + 14. Suppose -y - 6 = -3*o. Suppose 0 = -5*t - 2 + 27. Calculate the remainder when t is divided by o.
1
Let i be (19 + 5)/(3/8). Let k be (-30)/4*i/(-20). Suppose -c - k = -3*c. What is the remainder when 47 is divided by c?
11
Suppose -5*t = 5 - 70. Calculate the remainder when 51 is divided by t.
12
Let m = -2 - -16. What is the remainder when 80 is divided by m?
10
Let h be (20 + -4)/4 + 0. Suppose -6*p + 2*p - 4*g + 44 = 0, 4*p - h*g = 52. What is the remainder when 45 is divided by p?
9
Let j(w) be the second derivative of w**5/20 + w**4/12 - 2*w**3/3 - 2*w. Let g be j(3). Suppose -m + g = m. Calculate the remainder when 34 is divided by m.
10
Let u be 3 + (-4)/12*-15. Calculate the remainder when 37 is divided by (-3)/(-1) + u + -1.
7
Suppose 5*p - 4*p - 20 = 0. What is the remainder when 77 is divided by p?
17
Suppose -5*p + 24 = 3*f, p - 4*f - 4 = 10. Let b(u) = 7*u - 96. Calculate the remainder when b(16) is divided by p.
4
Let o(i) = -2*i**3 + i**2 - 2*i + 1. Suppose -r - 2 + 0 = 0. What is the remainder when o(r) is divided by 13?
12
Suppose -3*v = v + 156. Let r = -5 - v. What is the remainder when r is divided by 9?
7
Suppose -5*j + 3*v + v = -20, 0 = 2*v. Let h = -15 + 26. Calculate the remainder when h is divided by j.
3
Suppose 5*i - 10 = -2*a - 0*i, 2*a - 3*i + 22 = 0. Let t = 7 + a. Calculate the remainder when 3 is divided by t.
1
Let t = -102 - -112. What is the remainder when t is divided by 7?
3
Let i = 58 + -53. What is the remainder when 36 is divided by i?
1
Let k(h) = 18*h + 3. Let b = -14 + 29. What is the remainder when k(3) is divided by b?
12
Suppose 0 = 3*o - 5*k - 49, -9*o - 38 = -11*o - 2*k. What is the remainder when 101 is divided by o?
11
Let r(j) be the third derivative of j**5/60 - j**4/6 + j**3 - 2*j**2. Let p(l) = -2*l**3 - l**2 - 3*l - 1. What is the remainder when p(-2) is divided by r(4)?
5
Suppose 6*o - 68 = 46. Calculate the remainder when 74 is divided by o.
17
Suppose -j + 5 = -1. Suppose -h + 6*h - 85 = 0. What is the remainder when h is divided by j?
5
Let q(r) = 2*r**2 + 5*r - 22. Calculate the remainder when q(9) is divided by 47.
44
Let g = -11 + 15. Suppose 0 = 3*r - 8*r - g*k + 143, -4*r - 4*k + 112 = 0. What is the remainder when r is divided by 11?
9
Let r = 42 + -32. What is the remainder when r is divided by 3?
1
Let u(p) = 4*p + 2. Let y(j) = 3*j + 1. Let i(z) = -5*u(z) + 6*y(z). Let s be i(-5). What is the remainder when 30 is divided by s*4*(-6)/(-9)?
14
Suppose g - 10 = 48. What is the remainder when g is divided by 22?
14
Suppose f + 3*f - 4*t + 72 = 0, -5*f = 4*t + 90. What is the remainder when (f/(-8))/(1/8) is divided by 10?
8
Calculate the remainder when 2/6 - 7/(105/(-100)) is divided by 4.
3
Suppose -13 = -5*v + 3*x - 116, 2*v + 3*x = -37. Let p = -11 - v. Let a = -2 + p. What is the remainder when 12 is divided by a?
5
Let h =