hat is the remainder when m is divided by 8?
5
Suppose -3 = w - 7*u + 3*u, -u - 15 = -2*w. Let l = w + 10. What is the remainder when 56 is divided by l?
18
What is the remainder when (3/(-1))/(4/(-68)) is divided by 24?
3
Let v be (-2)/(2/(-6)*-3). Let b be (1 + v)/((-2)/4). Let m = b + 7. What is the remainder when 26 is divided by m?
8
Suppose 2*i = -7 - 17. Let u = i + 22. Suppose 0*k - 5*k = -u. What is the remainder when 4 is divided by k?
0
Let f = 8 + 0. What is the remainder when f is divided by (-14)/(-4) - 4/8?
2
Suppose -2*r + 5*r - 204 = 0. Let z(k) = k**2 + 6*k + 14. What is the remainder when r is divided by z(-6)?
12
Suppose -603 = -22*d + 19*d. Calculate the remainder when d is divided by 17.
14
Suppose -x = i - 3, -4*i + 4 = 4*x - 8*i. Suppose x*v - 52 = 2*a, 5*v - 4*a = 135 - 10. What is the remainder when 41 is divided by v?
20
Let f(d) = -d**2 + 7*d + 7. Let b = 64 - 40. Calculate the remainder when b is divided by f(6).
11
Suppose -6*o + 9*o - 12 = 0. Suppose 2*c + 20 = 5*v + o*c, 0 = -4*v - c + 19. What is the remainder when 22 is divided by v?
4
Let r = -435 + 615. Suppose 5*a - 4*o = o + r, o + 188 = 5*a. Calculate the remainder when a is divided by 13.
12
Suppose 4*o + 8 = 4. Calculate the remainder when (o - 2*-9)/1 is divided by 9.
8
Suppose 5*m - 35 - 5 = -5*u, -4*m + u + 22 = 0. What is the remainder when 9 is divided by m?
3
Let w be (10/(-3))/((-8)/12). Suppose -5*i = q + q - 292, 287 = w*i - 3*q. What is the remainder when i is divided by 30?
28
Let n = 0 + 0. Let g = 4 + n. Calculate the remainder when 11 is divided by g.
3
Suppose -3*f - 16 = -154. Calculate the remainder when 227 is divided by f.
43
Let m be (-3)/6 + (-2)/4. Let n = m - -5. Let b(a) = -a**3 + 8*a**2 - 14*a + 3. What is the remainder when b(4) is divided by n?
3
Suppose 127 = 2*y + c, 3*c + 5 = 2*c. What is the remainder when y is divided by 18?
12
What is the remainder when (-43)/(-2)*(4 + -2) is divided by 1/(-4 + 180/44)?
10
Suppose -2*g = 3*y - 3, -21 = -4*g + g + y. Calculate the remainder when 28 is divided by g.
4
Suppose -y + 2*w + 17 = 0, -4*y + 0*w - 3*w = -57. Let a = 32 - y. What is the remainder when a is divided by 2/(4/2) + 8?
8
Suppose 12*a - 11*a - 16 = 0. Calculate the remainder when 57 is divided by a.
9
Let q(n) be the second derivative of -n**5/20 + n**4/4 + 2*n**3/3 + 5*n**2/2 - 3*n. What is the remainder when 9 is divided by q(4)?
4
Let o(u) = u**2 + 21*u - 7. What is the remainder when 87 is divided by o(-22)?
12
Suppose -2*n + 7*n - 5 = 0. Let z(l) = 121*l**2 + 1. Let d be z(n). What is the remainder when (3/6)/(1/d) is divided by 21?
19
Suppose -4*h + 2*o + 156 = -o, o - 32 = -h. Suppose -p = 2*p - h. What is the remainder when 34 is divided by p?
10
Suppose 15 = 3*v - 3*c, 2*v = -3*v - 2*c + 18. Suppose -9*d = -v*d - 220. What is the remainder when 75/11 - (-8)/d is divided by 3?
1
Suppose 0 = k + m - 7 - 0, 0 = 2*k - 5*m. Suppose 4*d = -3*j + 38, -k*j + 0*j = -3*d + 14. What is the remainder when 68/3 - (-4)/(-6) is divided by d?
6
Suppose 2*j + 17 + 3 = 2*l, -2*l - 4*j = 4. Let q(i) = i**3 - 7*i**2 + 7. Let f be q(7). Let r = f - 3. Calculate the remainder when l is divided by r.
2
Let x(w) = -360*w + 75. Let v(q) = -19*q + 4. Let o(p) = -75*v(p) + 4*x(p). Calculate the remainder when 59 is divided by o(-1).
14
Suppose 0 = -2*l - 2*l + 60. Let j = 74 - 45. Calculate the remainder when j is divided by l.
14
Suppose -13*s = -10*s - 15. What is the remainder when 7 is divided by s?
2
Let d(v) = 2*v**3 - 13*v**2 + 11*v - 4. Let k(t) = -t**3 + 7*t**2 - 6*t + 2. Let q(r) = 3*d(r) + 5*k(r). Calculate the remainder when 17 is divided by q(4).
7
Let n(m) = m + 32. What is the remainder when 54 is divided by n(-9)?
8
Let g = -220 - -235. Calculate the remainder when 0 - 0 - (-30 - -1) is divided by g.
14
Let j be 0/(-1) + 0 - -60. Suppose 3*m = -m, 4*n - m = j. Let y = 16 + -7. Calculate the remainder when n is divided by y.
6
Let g = -11 - -46. Suppose 6 = -f + g. Calculate the remainder when f is divided by 10.
9
Let s(o) = 6*o**2 + 4*o + 4. Calculate the remainder when s(-4) is divided by 17.
16
Let y(n) = 2*n - 8. Let k(x) = x**3 + 6*x**2 + x - 1. Let b be k(-5). Let r = 28 - b. Calculate the remainder when 17 is divided by y(r).
7
Let y = 13 + -28. Let m = y - -24. What is the remainder when 26 is divided by m?
8
Let b(d) = -18*d - 13. Calculate the remainder when b(-6) is divided by 11.
7
What is the remainder when 374 is divided by (-2)/(-5 + 4)*(-39)/(-6)?
10
Let a(w) = -17*w**3 + w**2 + 3*w + 2. Let f = 28 + -18. Calculate the remainder when a(-1) is divided by f.
7
Suppose -2*m + 44 = -0*m. Calculate the remainder when m is divided by 5.
2
Let v be (-30)/(-9) - (-3)/(-9). Let l be v/9 - 8/6. What is the remainder when l*3/(9/(-60)) is divided by 7?
6
Calculate the remainder when (-10 - -13) + (16 - -1) is divided by 12.
8
Suppose 9*q - 80 = 4*q. Suppose 2*o + 5*v + 2 = -4, 0 = 4*v + q. Calculate the remainder when 11 is divided by o.
4
Let c be (-3 + 12)/(-1 + 2). Let r be (-14)/(-4) - c/6. Suppose -r*a + 52 = -0*a. What is the remainder when a is divided by 9?
8
Let k(v) = -v**3 - 6*v**2 + 6*v - 2. Let w be k(-7). Let q(l) = -l**3 + 5*l**2 + 3*l + 3. Calculate the remainder when 69 is divided by q(w).
15
Let r be 6*-1 - (-1 - -1). Suppose 3*t - t - 20 = 0. Let f = r + t. Calculate the remainder when f is divided by 3.
1
Let n(t) = t**3 + 2*t**2 - 5*t - 2. Let l be n(-3). Let k be 3 + -14*2/l. Let v = 14 + k. What is the remainder when v is divided by 3?
1
Suppose 24 = 2*s - 3*j - 6, 0 = -2*s + j + 22. Let q(x) = 4*x**2 - x + 2. Calculate the remainder when q(3) is divided by s.
8
Suppose 2*m = -2*l, 2*l + 25 = 3*m + 5. Let x = 13 + -7. Calculate the remainder when x is divided by m.
2
Let v(q) = 12*q - 32. What is the remainder when 126 is divided by v(8)?
62
Let q = -66 - -89. What is the remainder when 113 is divided by q?
21
Suppose 0*i = i - 15. Calculate the remainder when 28 is divided by i.
13
Suppose u + 4*u = 15. Suppose -u*y = -0*y - 72. Calculate the remainder when y is divided by 13.
11
Let b(r) = 4*r - 14. What is the remainder when b(6) is divided by (0 + -1)*-4 + 0?
2
What is the remainder when ((-6)/(-3))/2 - -37 is divided by 10?
8
Suppose 4*q - 18 = -2*b, -b = 4*b + 15. What is the remainder when 30 is divided by 3 + (q - 4 - -6)?
8
Let v = -49 + 123. What is the remainder when v is divided by 16?
10
Suppose -2*v + 121 = 15. Calculate the remainder when v is divided by 6.
5
Let z = 20 + -17. What is the remainder when z is divided by (-4)/5*15/(-6)?
1
Calculate the remainder when (-3)/12 - (-1134)/24 is divided by 12.
11
Suppose 7*z + 24 = 3*z. Calculate the remainder when (-6)/(-4) - 177/(-6) is divided by 22*3/z*-1.
9
What is the remainder when 61 is divided by (-18)/12*(-4)/3 - -14?
13
Suppose -6 = -2*p - c + 17, -4*c = -2*p + 8. Let g(m) = -m**2 + 13*m - 7. Calculate the remainder when g(9) is divided by p.
9
Let s(v) = -3*v - 3. What is the remainder when s(-14) is divided by 10?
9
Let a be (1 - (-2 + 1))*2. Suppose -d - 42 = -a*d. What is the remainder when 53 is divided by d?
11
Suppose -l = l - 12. Suppose l*d + 5 = 53. Suppose -15 = -3*b, 4*k - 73 = -4*b - 1. What is the remainder when k is divided by d?
5
Suppose -4*o = -9*o. Suppose o*d = -d + 27. Calculate the remainder when d is divided by 15.
12
Let g(y) = -y**2 + 16*y - 2. Calculate the remainder when g(12) is divided by 24.
22
Calculate the remainder when 30 is divided by 64/6 - (-4)/12.
8
Let f(b) = 2*b**2 - 3*b - 23. Let w = -9 + 24. What is the remainder when f(-5) is divided by w?
12
Let k = 4 - 7. Let g be 0/(-2 - -5) + k. What is the remainder when (-2)/(-3) + (-121)/g is divided by 14?
13
Suppose -2*d + 62 - 16 = 0. Calculate the remainder when 68 is divided by d.
22
Let v(w) = w**2 - 3*w - 6. Suppose -4*g = -8*g - 12. Let o(i) = i**2 - 2. Let k be o(g). Calculate the remainder when v(k) is divided by 8.
6
Let y = -46 - -69. What is the remainder when 44 is divided by y?
21
Let b be (10/4)/(7/14). Suppose 8*n - 4*y - 27 = 3*n, 27 = 4*n - b*y. Suppose 36 = -0*z + n*z. Calculate the remainder when 23 is divided by z.
11
Let o(g) = 5*g**2 - 4*g + 1. What is the remainder when 134 is divided by o(3)?
32
Let h be (12/2)/(2