e remainder when c is divided by 8.
5
Let b = 3 - 0. Let l = -3 + b. Suppose -6*s + s + 85 = l. What is the remainder when s is divided by 6?
5
Calculate the remainder when 57 is divided by 2/6 + 356/12.
27
Suppose 0 = 6*p - 4*p - n - 204, -3*p - 2*n = -313. What is the remainder when p is divided by 35?
33
Suppose -4*i = x + 11 - 47, 0 = -2*x - i + 37. Suppose -v + 5*v = -x, -25 = -3*o + v. Calculate the remainder when ((-4)/(-6))/(2/60) is divided by o.
6
Suppose 17 = 2*x - x. Let y(w) = -w**3 + 5*w**2 - 2*w - 6. Calculate the remainder when x is divided by y(3).
5
Let i(b) = -6*b + 2. Let c(v) = v + 5. Let a(y) = -y**3 + 3*y**2 + y - 3. Let z be a(3). What is the remainder when i(-2) is divided by c(z)?
4
Suppose -3*o + r = -238, -r - 218 = -3*o - 5*r. Calculate the remainder when o is divided by 10.
8
Suppose x - 31 = -d, -x + 52 = x - 3*d. Let a be 1*-4*(-6)/4. Suppose 0 = 2*o - 26 + a. Calculate the remainder when x is divided by o.
9
Let n(a) = -a**3 + 7*a**2 - 4*a + 4. Let c be (36/20)/((-3)/(-10)). Calculate the remainder when 45 is divided by n(c).
13
Let c(j) = 11*j**3 + j**2. Let p be (3/(-6)*-4)/2. What is the remainder when 23 is divided by c(p)?
11
Suppose -22 = 5*w - i, 0 = -5*w - 3*i + 3 - 17. Let k(g) = -g**3 - 4*g**2 - g + 3. What is the remainder when k(w) is divided by 5?
2
Let x(o) = -19*o + 1. Let i be x(-1). Suppose 4*j + i = 156. What is the remainder when j is divided by 18?
16
Suppose -3*f - 5*s + 182 = 0, -2*s + 53 = f - 8. What is the remainder when f is divided by 21?
17
Suppose 5*a = -3*o + 156, -4*a + o + 2*o = -114. Suppose -2*h + a = -2*b, -h = 7*b - 3*b - 10. Calculate the remainder when h is divided by 5.
4
Suppose 0 = -f + 5*h + 22, 0*h - 4*h = 4*f - 16. Let p(y) = -y**2 - 4*y - 3. Let i be p(-4). Let l = i - -15. Calculate the remainder when l is divided by f.
5
Suppose 5*k + 74 = 2*w + k, 5*k - 155 = -5*w. What is the remainder when 98 is divided by w?
32
Suppose -146 = -3*l + 3*g + 118, 0 = -5*l - 3*g + 416. Calculate the remainder when l is divided by 45.
40
Let p(x) = -x**3 + 6*x**2 - x + 8. Let g be p(6). Suppose -y + 5 = 0, -g*y - 2*y = -q - 12. What is the remainder when 15 is divided by q?
7
Suppose 4*a - 7*a = 111. Let f = -22 - a. Let o(k) = -k**2 - 5*k + 6. Calculate the remainder when f is divided by o(-5).
3
Suppose 0 = 9*c - 8*c - 23. Calculate the remainder when 68 is divided by c.
22
Suppose 0 = -2*t + 10 + 2. What is the remainder when t is divided by (14/(-28))/((-2)/16)?
2
Let z be 19/7 + 6/21. Suppose -2*l + z = -l. Calculate the remainder when 7 is divided by l.
1
Suppose -n + 2 = 0, -2*k - k - 4*n = -128. Suppose v - 5*o - 20 = -0*v, 5*o = -v + k. What is the remainder when v is divided by (-2)/3*(2 + -26)?
14
Calculate the remainder when (-109)/(-4) + (-6)/24 is divided by 10.
7
Suppose 2*g - 16 = -2*g. Suppose 19 = g*p + 5*b, p = -5*b + 3 - 2. Let i = p - -7. Calculate the remainder when 49 is divided by i.
10
Suppose 85 = -5*f - 5*v, -5*f + 4*v - 91 = 3*v. Let c = f - -29. What is the remainder when 2/7 - (-276)/14 is divided by c?
9
Suppose -4*m - 10 = -2*l, 0 = 4*l - 3*l + 3*m - 5. Let r be 265/l - (0 - -1). Suppose 4*v = -0*v + r. What is the remainder when 37 is divided by v?
11
Let f(g) = -7*g + 4*g**2 - 2*g**2 - 3*g**2. Calculate the remainder when 10 is divided by f(-6).
4
Let g(a) = -a**2 + 27*a. What is the remainder when g(5) is divided by 39?
32
Let v = -47 + 90. Suppose -129 = 4*d + v. Let o = -31 - d. What is the remainder when 34 is divided by o?
10
Let d(j) = 8*j + 34. What is the remainder when d(7) is divided by 46?
44
Let l(f) = 5*f**2 - 6*f - 1. Calculate the remainder when l(-3) is divided by 13.
10
Let w(h) = -24*h - 3. Let n be w(-6). Suppose m + 2*m = n. Let i = 189 - 173. Calculate the remainder when m is divided by i.
15
Let j = 74 - 43. Let n = j + -18. Calculate the remainder when n is divided by 7.
6
Suppose 0 = -22*g + 17*g + 170. What is the remainder when 135 is divided by g?
33
Suppose 3*m = 63 + 6. Suppose 2*x - 6 - 4 = 0. Suppose x*c - m = 32. Calculate the remainder when c is divided by 4.
3
Suppose 5*q + 40 = 7*q. What is the remainder when q is divided by 11?
9
Suppose p - 3 = 2*z + 7, 2 = 2*z. Let b = 24 - p. Calculate the remainder when 22 is divided by b.
10
Let j be (-3)/(2 - (-30)/(-14)). Calculate the remainder when 2253/j + (-2)/7 is divided by 27.
26
Let h(c) = -c + 2. Let v be h(-2). Suppose v = -4*j + 44. What is the remainder when 15/(-50)*6*-10 is divided by j?
8
Suppose -u - 12 = 2*u. Let d(w) = -2*w - 4. Calculate the remainder when 6 is divided by d(u).
2
Suppose 2*x = c + 10, 3*x + 2*c = 2*x. Let t be -2*(-2 + 26/x). Let v = t + 18. What is the remainder when 26 is divided by v?
8
Let c = -11 + 19. What is the remainder when 45 is divided by c?
5
Let n(y) = -y**3 - y**2 - 2. Let z be n(-2). What is the remainder when 30 + (3 - z/2) is divided by 11?
10
What is the remainder when 68 is divided by (-4 + 2 + -2)*(-81)/18?
14
Calculate the remainder when 5/(3 + -8) + 397 + -3 is divided by 66.
63
Let o = 566 + -338. Suppose q + 3*q = -o. Let w = q - -92. What is the remainder when w is divided by 12?
11
Suppose 3*l + p - 2*p = 56, 4*l = -3*p + 92. Calculate the remainder when l is divided by 12.
8
Let d(l) = -5*l**2 - l - 1. Let s be d(-2). Let a = s + 25. What is the remainder when 22 is divided by a?
4
Suppose 4*m + 12 = 4*y, -m - 3 = -5*y + 20. What is the remainder when 28 is divided by y?
3
What is the remainder when 141 is divided by (-4)/3 - 258/(-18)?
11
Suppose -28 = -15*o + 11*o. Calculate the remainder when 20 is divided by o.
6
Suppose 2*r + 0*r + v = 10, 2*r + 4*v - 16 = 0. Suppose -r = -q + 3. What is the remainder when 20 is divided by q?
6
Suppose -6 = -3*r - 0. Suppose 0 = c + r - 5. What is the remainder when 7 is divided by c?
1
Let x(k) = 2*k**2 + 11*k + 10. Let f = 21 - 9. Suppose 4*v + 4*p = -f + 4, -v = 2*p - 3. Calculate the remainder when x(v) is divided by 11.
9
Suppose -7*r + 4*r = -6. What is the remainder when 2 is divided by r?
0
Let c be (-7)/14 + (-1)/(-2). Suppose c = 4*w + 4*z - 180, -5*w + 226 = -4*z - 17. Let a = -11 + 23. Calculate the remainder when w is divided by a.
11
Let h(c) = c**2 - 6. Suppose 6*y - 30 = y. Let d be h(y). Let r = 65 - d. Calculate the remainder when r is divided by 18.
17
Suppose -2 + 0 = -i - 2*j, 4 = 2*i - 4*j. Suppose 15 - 51 = -i*b. Let v(q) = 3*q - 2. Calculate the remainder when b is divided by v(4).
8
Suppose -4*k + 5 = -7. Let b(z) = -2*z - 1. Let w be b(-3). Suppose w = r + k. Calculate the remainder when 5 is divided by r.
1
Let c(k) = -k**2 - 3 + 2*k**2 + 2 + 9*k - 2*k**2. What is the remainder when c(8) is divided by 3?
1
Suppose 0 = 5*z - 5, -4*o + 160 = -2*z - 62. Suppose 5*s = s + o. What is the remainder when 27 is divided by s?
13
Let t = 167 + -97. What is the remainder when t is divided by 24?
22
Suppose 3*o + 2*n - 16 = 0, -5*o + n + 25 = 4*n. Suppose 2*g + 0*i + 13 = -3*i, 2*g - 2*i + 18 = 0. Calculate the remainder when o/(-6) - g/6 is divided by 1.
0
Suppose 0*c = c. Suppose 4*p - 56 + 16 = c. Calculate the remainder when p is divided by 6.
4
Suppose 5*c + 78 = 7*c. Suppose 0 = -z + 4*z - c. Calculate the remainder when z is divided by 4.
1
Suppose -30 = 5*y - 120. Suppose m + 5 = y. Calculate the remainder when 36 is divided by m.
10
Suppose -3*t + t = -174. Suppose -5*j + t = c, -j + 25 = -4*c + 8*c. Calculate the remainder when (2 + 1)/((-1)/(-11)) is divided by j.
16
Let p = -40 - -41. Calculate the remainder when 11 is divided by p.
0
Let u be 1*-17 + (-1 - 0). Let o be 3 - 4 - (27 + 2). Let x = u - o. Calculate the remainder when 35 is divided by x.
11
Let v(n) = n**2 + 6*n - 16. Calculate the remainder when v(-11) is divided by 8.
7
Let q(m) = m**2 - m + 1. Let v be q(0). Suppose -g - 2*d + 2 = -2*g, 0 = 3*g - 5*d + 3. Suppose v = f - g. What is the remainder when 14 is divided by f?
4
Let g = -4 - -10. Let n(a) = a**2 - 2*a + 4. Calculate the remainder when n(g) is divided by 29/3 - 2/(-6).
8
Suppose 231 + 32 = 3*g + 4*j, -5*g + 4*j = -385. What is the remainder when g is divided by 21?
18
Let h be (-2)/(-6)*(9 - 0). Suppose 5*k = h*k + 84. Calculate the remainder when k is divided by 11.
9
What is the remainder when 31 is divided by -2 -