er when m is divided by 8?
7
Suppose 200 = 4*s + 4*g, 71 - 206 = -3*s + 2*g. Let o = 3 - 7. What is the remainder when s is divided by (-262)/(-11) + o/(-22)?
23
Suppose j - 2 = -5*k, 4*k + k + 70 = 5*j. Let i = -82 - -124. Suppose 5*u - i = -j. Calculate the remainder when 10 is divided by u.
4
Let b(u) = u**2 - 6. Let c = -7 + 13. Calculate the remainder when b(4) is divided by c.
4
Let p(b) = -5*b**2 - 4*b - 3. Suppose 0*g + 8 = -4*g. Let w be p(g). What is the remainder when w/(-4) - 3/(-12) is divided by 2?
0
Let h(w) = w**3 - 3*w + 6. Let q be h(4). Suppose -66 = -2*i - 2*j, -2*i + 5*j + q + 1 = 0. Calculate the remainder when i is divided by (-6)/(-2)*(-22)/(-6).
10
Let v be (2 + -5)*(-1 - -3). Let t(w) = 13 + 0*w - 3*w + 4*w. Calculate the remainder when t(v) is divided by 3.
1
Suppose -13*o = -15*o + 14. Calculate the remainder when (-50)/8*4/(-1) is divided by o.
4
Suppose -3*x = -9, 3*x + x + 128 = -5*o. Let z = 65 - 80. Let i = z - o. Calculate the remainder when 24 is divided by i.
11
Let w(t) = t**2 - 6*t + 9. Let d be w(5). Suppose -d*g = -5 - 107. What is the remainder when g is divided by (2 - -1)*(-10)/(-3)?
8
Suppose -21 = -3*w + 6*w. Let l = w - -10. What is the remainder when ((-6)/(-4))/((-3)/(-10)) is divided by l?
2
Let u = -41 + 47. Let r(d) = -2*d + 0*d - 2 - 3. Calculate the remainder when r(-8) is divided by u.
5
Let g = -8 - -14. Suppose -20 = -z + 6*z, -3*z = r - g. Calculate the remainder when r is divided by 10.
8
Let b be (-8)/(-6)*(-108)/(-8). Let l(k) = k**2 - 5*k + 2. Let x be l(5). Suppose -4*s + b = x*o - s, 3*o - 5 = s. What is the remainder when o is divided by 1?
0
Let m be (-6)/12*(0 - 2). Suppose x + 5*h - m = 66, 220 = 5*x + 2*h. What is the remainder when x is divided by 22?
20
Suppose 5*x = -3 + 68. What is the remainder when 23 is divided by x?
10
Suppose 2*f = 308 - 90. What is the remainder when f is divided by 29?
22
Suppose 6*h = h - 35. Let p(l) = l**2 + 6*l + 6. Calculate the remainder when 50 is divided by p(h).
11
Let g = -79 + 167. What is the remainder when g is divided by (-5 - -3)/((-1)/15)?
28
Let l be 5*((3 - 0) + -2). Suppose l*o = -y + 3*y - 10, 3*y - 15 = 2*o. Let q(a) = a**2 + a + 15. Calculate the remainder when q(o) is divided by 8.
7
Suppose -4*s + 34 - 6 = 0. Let q = s - 5. Suppose g = 2*w - 1, 2*w + q*w + 25 = 5*g. What is the remainder when g is divided by 5?
4
Let f(r) be the third derivative of r**6/120 + r**4/24 + r**3 + r**2. Let v be f(0). Suppose 0 = -2*w + v + 2. What is the remainder when 7 is divided by w?
3
Let i(f) = -f**2 - 17*f - 36. What is the remainder when 52 is divided by i(-11)?
22
Let h = -11 + 16. Suppose -h*p = 2*z - 105, 5*p - 160 = -3*z - 0*z. Suppose -x = 5*d - z, 4*d - x - 55 = -d. Calculate the remainder when 21 is divided by d.
10
Suppose s - 5*l - 160 = -4*s, 0 = 4*l + 20. Suppose 0 = p - o - 11, 0*o + s = p - 5*o. Calculate the remainder when p is divided by 3.
1
Suppose 5*g - 120 = -6*q + q, 3*g - 3*q - 60 = 0. Let f = 18 + g. Suppose 3*u = -f + 187. Calculate the remainder when u is divided by 17.
15
Let w(o) = o + 6. Let r be (4/(-5))/((-4)/(-10)). Let g(k) = -4*k**3 + k**2 + 4*k + 3. Calculate the remainder when g(r) is divided by w(5).
9
Let w = 27 + 11. Let u = 198 - 184. Calculate the remainder when w is divided by u.
10
Let w(l) = l**2 - 10*l + 6. What is the remainder when 8 is divided by w(10)?
2
Suppose -3*x + 99 = 4*h, 5*h - x - 132 = -2*x. Suppose 2*b - h = -b. What is the remainder when 13 is divided by b?
4
Suppose -4*k + 9 = -3. Suppose 0 = -5*g - 20, -k*h - h - 8 = 4*g. Suppose -4*u - 2 = -z, -1 - 19 = -h*z + 4*u. Calculate the remainder when z is divided by 5.
3
What is the remainder when 120 is divided by 40 - (2/8)/(3/(-12))?
38
Suppose -g + 416 = 3*s, s + 2*g + 0*g = 132. Calculate the remainder when s is divided by 29.
24
Suppose 80 = 5*s - 5*t, -t + 56 = 5*s - 0*s. Calculate the remainder when 43 is divided by s.
7
Calculate the remainder when 8 is divided by 14/(-28) + (-10)/(-4).
0
Let r(x) = 2*x**2 + 3*x - 3. Calculate the remainder when r(4) is divided by 11.
8
Let q = 114 - 81. Calculate the remainder when q is divided by 6.
3
Suppose 72 = -4*u + 6*u. Calculate the remainder when u is divided by 26.
10
Let c(s) = 7*s + 7. Let o(q) = 4*q + 4. Let n(x) = -3*c(x) + 5*o(x). What is the remainder when n(-6) is divided by 2?
1
Let s = 47 + -27. Calculate the remainder when 37 is divided by s.
17
Let l(c) = 8*c + 1. Calculate the remainder when l(6) is divided by 13.
10
Suppose 2*a + o - 23 = -a, -65 = -5*a + 5*o. Let z be ((-33)/(-2))/1*2. Suppose 2*n + z = -2*p + 7*p, -4*n = 16. What is the remainder when a is divided by p?
4
Suppose -15*h = -136 + 46. Calculate the remainder when 9 is divided by h.
3
Let t = 174 + -161. Let k(i) = i**2 + 5*i - 10. Let b be k(-7). Let z(j) = j**2 + 7*j - 6. What is the remainder when z(b) is divided by t?
12
Suppose 2*q = 4*q - 2*m - 212, 3*q = -4*m + 332. What is the remainder when q is divided by 22?
20
Let y = 0 + 14. What is the remainder when 34 is divided by 1*y + -5 + 3?
10
Let i(f) = -f**3 + 8*f**2 - 6*f + 3. What is the remainder when i(7) is divided by 3?
1
Calculate the remainder when ((-680)/(-28) - 1) + 4/(-14) is divided by 0/1 + (11 - -1).
11
Let c(p) = -p + 3. Let j = -10 + 1. Calculate the remainder when c(j) is divided by 5.
2
Let m(o) = 1 - o**3 + 3*o**2 + 0*o + 0*o**3 + 6*o - 5. Calculate the remainder when m(4) is divided by 2.
0
Let p = 7 + 22. Calculate the remainder when 56 is divided by p.
27
Suppose -3*o = -o - 4*g + 20, 5*g - 25 = 5*o. Suppose -p = -3*p - 5*n + 54, o = 5*n. What is the remainder when 52 is divided by p?
25
What is the remainder when 17 is divided by (-9)/(-6)*(1 + 1)?
2
Let q(p) = 6*p. Let u be q(1). Suppose 2*y + u - 32 = 0. What is the remainder when 37 is divided by y?
11
Suppose 21*s = 3*s + 198. Calculate the remainder when s is divided by 9.
2
Let a = -20 + -6. Let r(z) = -3*z + 12. Let i be r(-10). Let q = i + a. What is the remainder when 61 is divided by q?
13
Let m = 31 + -13. Calculate the remainder when m is divided by 10.
8
Suppose j - 5 = -4*j. Calculate the remainder when (-5 - -2)*(3 - 4) is divided by j.
0
Let g(o) = -o**3 + 8*o**2 + 9*o - 1. Let a be g(9). What is the remainder when 3 is divided by ((-6)/(-9))/(a/(-3))?
1
Suppose 3*w - 2*w + 3*f + 34 = 0, 0 = -3*w + 5*f - 60. Let s = 19 - 13. What is the remainder when s is divided by 4/10 - 90/w?
2
Let k = 9 - 21. Calculate the remainder when 11 is divided by (3/5)/(k/(-60)).
2
Suppose 5*q - 2*h = 60, -q - h - 2*h + 12 = 0. Suppose 0 = -3*c + 47 + 52. Calculate the remainder when c is divided by q.
9
Suppose 0 = 4*z - 4*f + 12, 4*z = z - f + 3. Suppose z = 5*c - 378 - 32. Calculate the remainder when c is divided by 17.
14
Let x = 0 + -2. Let y = 5 + x. Suppose -3*r = -7*r - 4, -5*r = -2*g + 7. What is the remainder when y is divided by g?
0
Let y(n) = -11*n + 3. Let o be y(-6). Let m = -112 + o. Calculate the remainder when -1*2/(2/m) is divided by 22.
21
Suppose -4*a + 5*w - 10 = -2, 32 = 4*a + 5*w. What is the remainder when 4 is divided by a?
1
Let h(b) = 4 + 11 - 14 + 4*b. Let l = 1 + 31. What is the remainder when l is divided by h(4)?
15
What is the remainder when 1/(2*1/70) is divided by 13?
9
Suppose -3 = -3*n, 5*g + n - 5 = 3*g. Suppose -g*m + 2*k + 1 + 13 = 0, -3*m + 56 = 4*k. What is the remainder when 23 is divided by m?
11
Let x(n) = -n + 22. Calculate the remainder when 79 is divided by x(6).
15
Suppose 6*t = 3*t + 9. What is the remainder when (-1 + -6)*(-6)/6 is divided by t?
1
Let p(q) be the second derivative of q + 0 - 2/3*q**3 - 1/2*q**2. Calculate the remainder when p(-2) is divided by 4.
3
Let z(p) = 4*p**2 + p + 2. Suppose -s = -2*f + 4*f - 9, -2*s = -4*f - 2. Calculate the remainder when z(f) is divided by (-3)/1 + (-100)/(-10).
6
Let v = 16 - 12. Suppose -v*n + 3*w + 15 = -26, 4*n = w + 51. What is the remainder when n is divided by 5?
4
Let m(j) = j + 6. What is the remainder when 14 is divided by m(-3)?
2
Suppose -14 = -4*j + 2*i, i + 4 = 5*j + 3*i. Let o be j/((-6)/171) - 3. What is the remainder when 32 is divided by (3 + o/3)*-1?
15
Suppose j - 5*j - 36 = -4*g, -4*j = 20. Calculate the remainder when (8/(-10))/(2/(-25)) is divided by g.
2
Su