x = 4 + -6. Let r = x - -6. Calculate the remainder when r is divided by a.
1
Let w = 10 - -5. Suppose 8*b - 3*b - w = 0. Suppose -4*n + 0 = o - 25, 0 = -3*n + o + 24. Calculate the remainder when n is divided by b.
1
Let l(t) be the second derivative of t**3/6 + t**2 - 2*t. Let d be l(-4). Let n = 8 - d. What is the remainder when 19 is divided by n?
9
Suppose -3*o - o + 148 = 0. Calculate the remainder when o is divided by 13.
11
Suppose -w + 40 = 3*w. What is the remainder when 4/w - 206/(-10) is divided by 11?
10
Suppose -20 = -q - 4*q. Let o = q - 2. What is the remainder when 15 is divided by ((-3)/3 - -5)*o?
7
Let q(n) = -3*n. Suppose v - m = 1 - 0, 2*m - 1 = v. What is the remainder when q(-2) is divided by v?
0
Let o = 38 + -24. Let n be -2 + (-35*1)/1. Calculate the remainder when 1 - n - 0 - -2 is divided by o.
12
Calculate the remainder when 2*(-1)/13 + 1694/26 is divided by 17.
14
Let s(a) = 40*a - 2. Let r be s(2). Suppose 2*c + 30 = r. What is the remainder when c is divided by 13?
11
Let w(p) = p + 2. Let h be w(6). Let o(s) = -s**3 - 12*s**2 + 12*s + 6. Calculate the remainder when o(-13) is divided by 29/4 - 2/h.
5
Let o(q) = 3*q + 1. Let f be o(3). Let l(t) = 84 - 48 - 45 + 13*t - t**2. What is the remainder when l(f) is divided by 11?
10
Let m(h) = 14*h + 2. Suppose -8 = -2*y - 2*y, -5*v + 4*y = -7. Let t(c) = 6*c - 37. Calculate the remainder when m(v) is divided by t(10).
21
Suppose 0*h + 98 = 2*h. Suppose 4*q + 255 - 2691 = 0. What is the remainder when h is divided by q/35 - (-2)/(-5)?
15
Let b(i) = -33*i - 7. What is the remainder when b(-2) is divided by 15?
14
Suppose 11 = k - 8. What is the remainder when k is divided by 6?
1
Suppose -5 = 3*k - 5*h, -2*k - k - h + 19 = 0. Suppose -7*m + k*m + 4 = 0. Suppose 17*d - 2 = 16*d. Calculate the remainder when d is divided by m.
0
Let m(a) = -a + 1. Suppose p = 0, -p = -3*i - 0*i - 30. What is the remainder when m(i) is divided by 4?
3
Suppose -3*t + 0*c + 143 = -4*c, -3*t = 5*c - 98. What is the remainder when t is divided by 12?
5
Let w = -24 + 16. Let x = w + 14. Calculate the remainder when 11 is divided by x.
5
Let z(i) = -6*i + 1 + 5 - i**3 + 3*i**2 + 4*i**2. Calculate the remainder when z(6) is divided by 3.
0
Let v = 7 + -4. Suppose -3*p + 10 = 2*m - 6, -50 = -v*m + 2*p. What is the remainder when 40 is divided by m?
12
Suppose -18 = -4*s + 86. What is the remainder when 127 is divided by s?
23
Suppose -30 = -2*c + 4*y, 4*y = -5*c - 0*y + 117. What is the remainder when 81 is divided by c?
18
Let t = 97 + -50. What is the remainder when t is divided by 18?
11
Suppose h = -h + 5*i + 15, 81 = 5*h + 2*i. What is the remainder when h is divided by 8?
7
Let g(w) = 2*w**2 - 7. Calculate the remainder when 42 is divided by g(-3).
9
Suppose -5*y - 3*r = -586, 4*y + 9*r = 4*r + 474. Suppose 6*m = 2*m + y. What is the remainder when m is divided by -1 + 2/(-2) + 12?
9
Let d(r) = -3*r. Suppose 0 = -2*v - 10, 0*v - 2*v = -5*u + 5. What is the remainder when 56/(-12)*(-12)/14 is divided by d(u)?
1
Let m = -4 + 8. Calculate the remainder when 25 is divided by ((-26)/m - -2)*-2.
7
Suppose 0 = -4*z + z - 276. Let i = z - -138. What is the remainder when i is divided by 12?
10
Let m(t) = -t**2 + t + 2. Let u be m(0). Suppose -x + 26 = -2*y + 99, u*x = -2*y + 64. Suppose -5*h - 36 = -8*h. What is the remainder when y is divided by h?
11
Suppose 0 = 50*l - 45*l - 260. What is the remainder when 102 is divided by l?
50
Let u = 9 + -6. Let i = -28 - -34. Calculate the remainder when i is divided by u.
0
Let a(n) = 2*n - 4. Let v be a(-7). Let y = v - -30. Calculate the remainder when 33 is divided by y.
9
Suppose 12*i = 4*i. Let k(g) = -g + 28 - 6 + 0*g. What is the remainder when k(i) is divided by 8?
6
Suppose 0 = c - 2*c. What is the remainder when 31 is divided by 5 - (9/(-3) + c)?
7
Suppose 0 = 4*l + 2*l - 30. What is the remainder when l is divided by 3?
2
Let g(q) = -5*q + 9. Let a = 10 + -12. What is the remainder when g(-7) is divided by 1 + a + 4*4?
14
Suppose 5*l - 9 = 11. What is the remainder when l is divided by 2?
0
Let x be (2/4)/((-6)/(-72)). Suppose 3*h + 2*d - 71 + 26 = 0, d = 3. Let s = h - x. Calculate the remainder when 11 is divided by s.
4
Let y(m) = -2*m**2 - 3*m + 7. Let r(h) = 2*h**2 + 4*h - 7. Let u(c) = -7*r(c) - 6*y(c). Calculate the remainder when u(-5) is divided by 5.
2
Suppose 2*f - 6 = -0*f. Suppose -i = -f*i + 84. Calculate the remainder when i is divided by 22.
20
Let c(n) = 1 + 3*n + 2*n**3 + 4*n - n**2 - 3*n - 4*n**2. What is the remainder when 65 is divided by c(3)?
21
Let f = 10 + 13. Let l(r) = r**3 + 8*r**2 - 2*r - 10. What is the remainder when f is divided by l(-8)?
5
Suppose -4*u + 308 = 4*a, 3*a = 2*u + 97 + 134. What is the remainder when a is divided by 13?
12
Let m(z) = -z**2 - 7*z + 10. Let c be m(-8). Suppose 3*y - 20 = -5*v, -c*y + 0*y = -4*v + 38. What is the remainder when 12 is divided by v?
5
Let r = 37 + -23. Suppose 3*j - r = -2. Calculate the remainder when 15 is divided by j.
3
Let g(n) = 2*n - 2. Let l(q) = q**3 + q**2 + 2. Let k be l(-2). Let w be (k/(-4))/((-6)/(-72)). What is the remainder when 29 is divided by g(w)?
9
Let m(q) = q**2 + 3*q + 1. Let u(z) = z**2 + z - 5. Let j be u(0). Suppose -2*x - 10 = -18. What is the remainder when m(j) is divided by x?
3
Let h = -103 + 61. Calculate the remainder when 83 is divided by (h/5)/((-4)/10).
20
Suppose 3*a = -0*a. Suppose 5*q - 2*c - 146 = a, -2*c = 2*q + 3*c - 41. What is the remainder when q is divided by 11?
6
Let i(v) = -v**3 - v**2 + 23*v + 15. What is the remainder when 224 is divided by i(-6)?
53
Let g(p) = -2*p + 4. Calculate the remainder when g(-3) is divided by 4.
2
Let m(w) = -w**3 - 2*w**2 + 2*w - 4. Let u be m(-3). Let h = u + 2. Let p = h + 4. What is the remainder when p is divided by 3?
2
Suppose 0 = 3*s + 2*u - 45, 5*u - 3 = -3*s + 33. Let o be (-2)/(48/21 - 2). Let g = s + o. What is the remainder when 29 is divided by g?
9
Suppose 47 = 5*m - w - w, m + 2*w - 7 = 0. Let h = 28 - m. Let n(c) = -c**3 - 2*c**2 + c + 1. Calculate the remainder when h is divided by n(-3).
5
What is the remainder when 21*(-20)/(-12) - 1 is divided by 6?
4
Suppose -11 + 2 = -3*i. Suppose i + 2 = p. What is the remainder when -8*(-2 + 1)*1 is divided by p?
3
Let o(n) = n**3 - 7*n**2 - 4. Let q be o(7). What is the remainder when (-134)/(-2) - (3 + q) is divided by 23?
22
Suppose -2*x - 2*f + 76 = 2, -5*f = -15. Let r be (-6)/21 - (-86)/7. Calculate the remainder when x is divided by 27/(-36)*r/(-1).
7
Suppose -5*i = 4*k - 233, 0 = -i - 0*i + 5. Suppose 35 - 3 = p + x, -2*p = -x - k. Calculate the remainder when 83 is divided by p.
27
Let g(f) = 29*f**2 + f - 1. Calculate the remainder when g(1) is divided by 5/2*(-32)/(-10).
5
Suppose -3*c - 5*f + 38 = -0*f, -3*c + 3*f = -30. Suppose 0*p + 5*p = 155. What is the remainder when p is divided by c?
9
Let c(f) be the third derivative of f**5/15 + f**4/24 + 2*f**2. Calculate the remainder when c(-3) is divided by 17.
16
Suppose -2*s = 2*s. Suppose s = 6*d - 3*d - 27. Let b = 78 + -53. Calculate the remainder when b is divided by d.
7
Suppose -t + 0 = w - 2, -20 = 5*t. Calculate the remainder when 46 is divided by w.
4
Let p(r) = r**2 + r - 35. Let m be p(0). Let b = -19 - m. Let g(i) = -4*i + 6. What is the remainder when g(-6) is divided by b?
14
Suppose -3*y - 3*g = 2*y - 45, 45 = 5*y + 5*g. Let j = 9 + -5. Calculate the remainder when ((-17)/(-2))/(2/j) is divided by y.
8
Suppose -3*y - 9 = -t - 0*t, t = -3. What is the remainder when 1/y - (-116)/16 is divided by 4?
3
Let i(a) = a - 1. Let h(v) = 8*v - 14. Let x(d) = h(d) - 6*i(d). What is the remainder when 57 is divided by x(10)?
9
Let i(t) = 6*t + 5. What is the remainder when i(3) is divided by 8?
7
Let o = -91 - -243. What is the remainder when o is divided by 17?
16
Suppose -2*a + 33 = 5. What is the remainder when 40 is divided by a?
12
Let s be 6*(-3 - 3/(-6)). What is the remainder when 13 is divided by (-11)/(-3) + (-5)/s?
1
Let a(x) = -3*x**2 - 3*x - 7. Let s(o) = 13*o**2 + 12*o + 27. Let u(g) = -9*a(g) - 2*s(g). Calculate the remainder when 105 is divided by u(-6).
24
What is the remainder when 18 is divided by ((-7)/14)/(1/(-20))?
8
Suppose 12 = a + 2*i - 0, 2*i =