 the remainder when n is divided by 2?
0
Let f(d) = d**2 - 7*d - 5. Let b be f(-4). Suppose 0 = 2*o - b + 11. Calculate the remainder when 27 is divided by o.
13
Suppose 4*u - 480 = -4*f, -3*f + 4*u + 18 + 342 = 0. Suppose -f = -3*t - 2*t. Calculate the remainder when t is divided by 9.
6
Suppose -b - 2*y + 50 = -0*b, 2*b - 95 = y. Suppose -3*k = g + 2*g - b, -4*k - 41 = -3*g. Suppose -o = -g - 6. What is the remainder when 40 is divided by o?
19
Let c = 53 + -26. Suppose x + 7 = c. What is the remainder when x is divided by 6?
2
Let m(w) = -2 + 3*w + 5*w - 4*w - w. Let y be m(2). Suppose 29 + 51 = y*b. Calculate the remainder when 38 is divided by b.
18
Let b = -29 + 52. What is the remainder when 22/(12/(-8) + 2) is divided by b?
21
Let i be (-6)/(-21) - 6/21. Suppose i*c = -c + 3. Suppose -1 = m - c. What is the remainder when 5 is divided by m?
1
Suppose s = 2*s - 1. Suppose 2*x = -s + 7, -9 = -2*f - x. Calculate the remainder when f is divided by 3.
0
Suppose -3*r + 5 = -10, 8 = f - 3*r. Calculate the remainder when 66 is divided by f.
20
Let j(z) = z**3 - 3*z**2 - z + 2. What is the remainder when j(4) is divided by 6?
2
Let o(i) = i**2 - 10*i + 14. What is the remainder when 54 is divided by o(10)?
12
Let r = -56 + 83. What is the remainder when 78 is divided by r?
24
Suppose -4 = -2*l - 3*o + 1, 4*l = -4*o + 12. Let k = -2 + l. Suppose -3*g - 4*n + 3*n + 55 = 0, 5*g - 77 = k*n. What is the remainder when 50 is divided by g?
16
Let c(o) be the third derivative of o**6/240 - o**4/24 - 2*o**2. Let i(r) be the second derivative of c(r). Calculate the remainder when 17 is divided by i(3).
8
Let m(y) = 10*y**2 - y - 2. What is the remainder when m(-2) is divided by 7?
5
Calculate the remainder when ((-12)/8)/((-15)/470) is divided by 18.
11
Let b = 21 - 11. Let k(m) = -m**3 + 11*m**2 - 10*m + 6. Let o = -2 + 12. What is the remainder when o is divided by k(b)?
4
Let h(i) = i**3 + 10*i**2 - 2*i - 14. Let w be 22/77 + 72/(-7). What is the remainder when 11 is divided by h(w)?
5
Suppose 0 = -3*c, -b - 3*c = -15 + 2. What is the remainder when b is divided by (-1 - -3)/(1/4)?
5
Suppose -13*b = d - 11*b - 7, -2*d + 4 = -b. What is the remainder when (16/(-6))/(1/(-3)) is divided by d?
2
Suppose -3*f + 4 = -u, -2*u - 4*f - 49 = -11. Suppose 40 = -4*l - 3*o, -3*o + 5 + 4 = -3*l. Let v = l - u. What is the remainder when 9 is divided by v?
3
Suppose 2*y + l + 5 = 4*y, 0 = -4*y + 4*l + 8. Let p(q) = -q**3 - 8*q**2 - 12*q - 9. Calculate the remainder when p(-7) is divided by y/5 - 126/(-15).
8
Let h(n) = n**2 + n - 1. What is the remainder when 37 is divided by h(4)?
18
Suppose 16 = 5*m - m. Suppose m*v = v - 18. Let t(d) = d**3 + 8*d**2 + 9*d + 1. What is the remainder when t(v) is divided by 10?
9
Let r(g) = g**3 - 10*g**2 + 9*g + 8. Let j(i) = 2*i**2 - 2*i - 1. Calculate the remainder when j(-3) is divided by r(9).
7
Let k(v) = -12 - 3*v - 2*v + v**2 + 2 + 10*v. Calculate the remainder when 6 is divided by k(-7).
2
Let l be (2 - (4 - 2))*1/3. Let c = -10 + 17. Suppose l = o + 3 - c. Calculate the remainder when 7 is divided by o.
3
Let w(x) = 7*x**2 + 8*x - 8. Let r(o) = 2*o**2 - 3*o + 3. What is the remainder when r(3) is divided by w(1)?
5
Let s(j) = 2*j - 4. Let d be s(6). Let c = 2 + d. Calculate the remainder when (-2)/8 - (-234)/8 is divided by c.
9
Suppose -5*k = 5*v - 41 - 39, -k + 4*v = -41. Let d = -6 - -46. What is the remainder when d is divided by k?
19
Suppose 5*z - 478 = 4*f - 44, 4*z + f - 343 = 0. Calculate the remainder when z is divided by 22.
20
Suppose 0 = -12*o + 130 + 26. Calculate the remainder when 34 is divided by o.
8
Suppose 0 = 8*o - 3*o - 20. Suppose 3 = -o*k + 87. What is the remainder when 40 is divided by k?
19
Let m = 33 - 25. Calculate the remainder when 21 is divided by m.
5
Suppose -5*h + 10*h = 110. Suppose -5 = 2*g - 13. Suppose -c - g*c = -60. What is the remainder when h is divided by c?
10
Let j be (11/(-2))/(3/(-18)). Let z = j + -27. Calculate the remainder when 13 is divided by z.
1
Let s(j) be the first derivative of -j**2/2 + 4*j - 2. Let v be s(-4). Let d = -7 + v. What is the remainder when 2 is divided by d?
0
Let c = -199 - -281. Suppose 0 = -3*x - 4 + c. Calculate the remainder when x is divided by 9.
8
What is the remainder when (-381)/(-6) + (-5)/10 is divided by 32?
31
Let x(g) = g**2 - 6*g + 9. Calculate the remainder when 26 is divided by x(6).
8
Let t = -15 + 9. Let z = t + 18. What is the remainder when 35 is divided by z?
11
Let w = -2 + -5. Let j = 18 + w. Let a(d) = 2*d - 11. Calculate the remainder when 21 is divided by a(j).
10
Let o be (2 - -3) + 0 + 0. Let y(q) = -2*q + 5*q - o*q + 5. Calculate the remainder when y(-6) is divided by 9.
8
Let s = 12 - 7. Suppose -27 = 2*z - s*z. What is the remainder when 26 is divided by z?
8
Let i(k) = 12*k**2 + 2*k + 1. Let r be (-1)/(-3)*(6 + -9). Calculate the remainder when 6/(-2*3/(-32)) is divided by i(r).
10
Let h(a) = -a**3 - 6*a**2 + 6*a + 7. Suppose 0 = z - 2*b - 6, 13 = 4*z + 3*b - 0*b. Let o = z + -11. What is the remainder when h(o) is divided by 5?
4
Suppose -3*o + 75 = -0*o. Let g(b) = -11*b + 7. What is the remainder when g(-6) is divided by o?
23
Suppose -8*l + 36 = -84. Let g = 4 - 4. Suppose -o = 4*j - 33, -5*j = -g*j - 3*o - 54. What is the remainder when l is divided by j?
6
Suppose 374 = 17*i - 0*i. Calculate the remainder when 167/4 + (-2)/(-8) is divided by i.
20
Let s(y) = 23*y - 5 - 1 - 8*y + 5. Calculate the remainder when s(2) is divided by 16.
13
Suppose 0*p + 148 = 3*p + 4*h, 2*p = h + 84. Let i = -14 + 29. What is the remainder when p is divided by i?
14
Let y = 1 - -13. What is the remainder when 54 is divided by y?
12
Let l(s) = -s**2 + 6*s + 2. Let n be l(6). Suppose 10 = 2*r + n. Calculate the remainder when r is divided by (4/10)/(20/(-25) + 1).
0
Let s(z) be the third derivative of -z**4/12 + z**3 - 3*z**2. Suppose 3*y - 4*y + 52 = 0. Calculate the remainder when y is divided by s(-6).
16
Let o(i) = -i**2 + 30. Let q(l) = 16*l**2 - 2*l - 2. What is the remainder when o(0) is divided by q(-1)?
14
Let s = -10 + 27. Suppose 2*r = -p - 2 + s, -p = -r + 15. Calculate the remainder when r is divided by (-10)/2*(-1 + (-8)/40).
4
Suppose -4*o + 5 + 7 = 0. Suppose -3*p - 3 = -2*v, o*v + v - 13 = -p. Calculate the remainder when 17 is divided by (1 - -1) + 1 + v.
5
Let n(y) = -y**2 + y. Let l be n(-1). What is the remainder when (-344)/(-16)*(4 + l) is divided by 22?
21
Let g = 4 + -4. Suppose g = -0*u - u - 5*t + 26, -2*t + 8 = 0. Suppose u*b - b - 48 = -3*j, j = -3*b + 32. What is the remainder when 22 is divided by b?
10
Let b(c) = 4*c. Let k(i) = i. Let u(n) = 2*b(n) - 10*k(n). Let p(q) = -q**3 + 8*q**2 + q - 6. Calculate the remainder when p(8) is divided by u(-1).
0
Suppose 2 = 2*x - 2. Suppose x*p - 1 = -3. What is the remainder when 32 is divided by 16 + ((-3)/p)/3?
15
Let l(z) = -z**3 - 4*z**2 + 4*z - 3. Suppose -4*p = 5*y + 20, 3*p + 15 = -4*y + 2*y. Calculate the remainder when l(p) is divided by 2.
0
Let o = 63 + -49. What is the remainder when 53 is divided by o?
11
Let q(f) = -3*f + 4. Let h be q(4). Let d(m) = m**3 + 8*m**2 - 2*m - 8. Let b(i) = -i**2 - 12*i - 5. Calculate the remainder when b(-10) is divided by d(h).
7
Suppose -7 - 1 = -2*r. Suppose r*w = 187 + 33. What is the remainder when w is divided by 19?
17
Let m(w) = w**3 + 6*w**2 + 5*w. Let j be m(-4). Suppose -o + 14 = -j. What is the remainder when o is divided by 14?
12
Suppose 3*a + 418 = 5*l, 0*l + 3*a = -3*l + 246. Suppose -v + 4*v + 89 = 5*c, -l = -5*c + v. Calculate the remainder when 62 is divided by c.
14
Let r(h) = -h**2 - 7*h - 4. Suppose 0 = -2*u - 15 + 3. Let w(d) = -2*d - 1. What is the remainder when w(-3) is divided by r(u)?
1
Let h(k) = -k. Let z be (-29)/5 + 3/(-15). What is the remainder when 16 is divided by h(z)?
4
Let l = 74 + -45. Suppose -3*y - 2*a - 2*a + 26 = 0, 3*y = -a + 29. What is the remainder when l is divided by y?
9
Let n(c) = -2*c**2 + c + 1. Let k be n(2). Calculate the remainder when (-74)/3*(2 + k) is divided by 19.
17
Let l(g) = -g**2 - 8*g + 2. Calculate the remainder when l(-7) is divided by 6.
3
Let c = 14 + -10. Suppose 0*a - 124 = -c*a. Calculate the remainder when a is divided by 16.
15
Suppose 0*v