 the remainder when 8 is divided by m?
0
Suppose -12 = 4*p - p. Let f = 2 - p. What is the remainder when f is divided by 4?
2
Let z(g) = -g**3 + 7*g**2 - 6*g - 1. What is the remainder when 56 is divided by z(5)?
18
Let h(u) = 2*u**2 + 2*u + 1. Let q be h(-1). Suppose -2*v + 3 = -q. Suppose 0 = v*i - 22. What is the remainder when i is divided by 6?
5
Let h = -285 + 302. Calculate the remainder when h is divided by ((-1)/2)/((-2)/36).
8
Suppose 0 = -7*l - 48 + 216. Calculate the remainder when 117 is divided by l.
21
Let p(j) = 23*j + 15. What is the remainder when (-4)/14 - (-310)/7 is divided by p(0)?
14
Suppose 0 = -5*r - 30 + 225. Suppose 5*w - 70 = -5*v + 2*w, 0 = -5*w. What is the remainder when r is divided by v?
11
Let j(y) = 2*y**2 + 7*y - 10. What is the remainder when 201 is divided by j(3)?
27
Suppose -4 + 1 = 3*z. Let b(o) = 9*o**2 + 8*o + 7. Let l(x) = 8*x**2 + 9*x + 8. Let a(n) = 7*b(n) - 6*l(n). Calculate the remainder when 41 is divided by a(z).
13
Suppose 0 = -o - 2, -f + 3*f = -o - 8. Let w(u) = -8*u - 4. Let c(z) = -z + 1. Calculate the remainder when w(f) is divided by c(-6).
6
Suppose -h + 32 = -2*y - 6, -2*y - 5*h = 26. What is the remainder when y*(-6)/4 - -2 is divided by 10?
9
Let o be (2/(-3))/((-2)/78). Suppose 12*v - 14*v = -o. Calculate the remainder when 25 is divided by v.
12
Let n(d) = -3*d + 2. Let p(v) = 2*v**2 - 36*v + 29. Calculate the remainder when p(18) is divided by n(-2).
5
Suppose 5*r + 3*x = 111 + 18, -5*r - 5*x + 135 = 0. What is the remainder when 46 is divided by r?
22
Suppose -2*c - 122 = -4*f - 0*f, -2*f + 56 = 4*c. Suppose 2*r - f = -3*p - 7, -4*p + 44 = -4*r. Calculate the remainder when 33 is divided by p.
6
Suppose 31 - 101 = -5*v. Let d = -173 + 119. Let q = d - -94. Calculate the remainder when q is divided by v.
12
Let x(w) = 3*w + 5. Let d(q) = -q**3 + 4*q**2 - q - 1. What is the remainder when x(4) is divided by d(3)?
2
Suppose -5*z - 124 = -3*m, z - 100 = -m - m. Let j be 10/20*2*1. Let l = 18 - j. Calculate the remainder when m is divided by l.
14
Let x(w) = -w**2 + 2*w - 3. Let y be x(2). Let k = -10 + y. Let f = k - -20. Calculate the remainder when f is divided by 4.
3
Let k = 24 + -11. Calculate the remainder when 51 is divided by k.
12
Let f(a) = 3*a**2 - 3*a + 6. What is the remainder when 94 is divided by f(3)?
22
Let g = 4 + -3. Let x(o) = 2*o + 1. Let v be x(g). What is the remainder when (10/v)/(5/15) is divided by 6?
4
Suppose -41 = -k + 23. Suppose i = 19 + 3. Calculate the remainder when k is divided by i.
20
Let f(p) = p**2 + 31*p + 38. Let k = 48 + -26. Calculate the remainder when k is divided by f(-30).
6
Suppose -11 = -2*s + 3. Calculate the remainder when 20 is divided by s.
6
Suppose 27 = -3*x - 3. Suppose 6 = -5*g - 69. Let s = x - g. Calculate the remainder when 8 is divided by s.
3
Suppose -3*d + 400 = 2*d. What is the remainder when d is divided by 27?
26
Let l be (-2)/(-2) + (-12)/(-3). Suppose 0 = a + 4*a + l. Calculate the remainder when a - (-26 - (-1 + 2)) is divided by 9.
8
Let l(y) = y**3 + 3*y**2 + 3*y. Let p be l(-2). Let s be (-38)/p*(-1)/(-1). Let g = -3 + s. Calculate the remainder when g is divided by 6.
4
Let h(u) = 3*u**3 + 2*u + 1. What is the remainder when h(3) is divided by 18?
16
Let k = -162 - -223. Calculate the remainder when k is divided by 16.
13
Let s = 323 - 180. Calculate the remainder when s is divided by 49.
45
Let h = 21 - 11. Suppose -4*o - 36 = -152. Calculate the remainder when o is divided by h.
9
Suppose 20 = 2*c - 40. Calculate the remainder when c is divided by 4.
2
Suppose 4*h + 3 = 3*y + 4, 5*y - 3*h + 9 = 0. Let p(d) be the third derivative of -d**4/24 - d**3/6 - 9*d**2. Calculate the remainder when 4 is divided by p(y).
0
Suppose 0 = 2*d - 4*d + 16. Let k = 14 + 7. What is the remainder when k is divided by d?
5
Let o = 6 - -32. What is the remainder when o is divided by 13?
12
Suppose -4*o + 3*o = -j + 10, -2*j + 4*o + 18 = 0. What is the remainder when 42 is divided by j?
9
Suppose -68 = -5*k + 57. Calculate the remainder when 49 is divided by k.
24
Suppose -u - 5*f + 14 = -2, 4*f = -u + 13. Calculate the remainder when 14 is divided by (-4)/(1*u/(-2)).
6
Let p(w) = w**3 + 5*w**2 - 6*w + 9. Calculate the remainder when 22 is divided by p(-6).
4
Let i(d) = -d**3 - 5*d**2 + d + 9. Calculate the remainder when 13 is divided by i(-5).
1
Suppose -5*m - 3*k = -0*k - 132, 106 = 4*m + 2*k. What is the remainder when 105 is divided by m?
24
Let o = 31 - 18. Suppose -11*l = -12*l + 7. What is the remainder when o is divided by l?
6
Suppose 0 = k - 2*y - 24, 2*k - 5*y - 37 = 13. What is the remainder when 79 is divided by k?
19
Suppose 9*u = 169 + 308. Suppose 0 = -2*p + 5*p - 6. What is the remainder when 3/(-2) + u/p is divided by 9?
7
Let m(s) = s**2 + 10. Let a be 2/(-8) - 6/(-24). Calculate the remainder when 19 is divided by m(a).
9
Let r be 6/(-4)*32/(-12). Suppose -3*c + 12 = -2*c - 5*s, r*c - s = 48. What is the remainder when c is divided by 7?
5
Let y(b) = -b + 1. Suppose 0 = 2*p + 6, -4*p - 2 = -h + 7. What is the remainder when 14 is divided by y(h)?
2
Suppose 3*z + 12 = 0, 0*l = -l + 4*z + 23. Calculate the remainder when l is divided by 4.
3
Let y(b) = 7*b - 11. Calculate the remainder when 46 is divided by y(3).
6
Suppose 5*w = -3*g + 96, g + 3*g = 4*w + 128. What is the remainder when g is divided by 11?
10
Suppose 8 = 3*i - 7. Let m(n) = -n**2 + 9*n - 9. Let y be m(7). Suppose 3*l + y*t = -2*l + 95, -l + t = -9. Calculate the remainder when l is divided by i.
4
Let f = 75 + -15. What is the remainder when f is divided by 21?
18
Let x be -21*(-3 - (-8)/3). Let d(a) = a**2 - 6*a. What is the remainder when d(x) is divided by 5?
2
Let q = 12 - 10. Let f(c) = -6*c + q*c**3 + 2 - c**3 + 3*c**2 + 0*c**2 + 3*c. Calculate the remainder when 21 is divided by f(-3).
10
Suppose 0 = -o - 2*c + 30, -4*c = 4*o - o - 88. Let l = -9 - -63. Calculate the remainder when l is divided by o.
26
Let k(f) = -4*f + 2. Let v be k(-2). Let h be 2 - 2*v/4. Let s = h + 4. Calculate the remainder when 2 is divided by s.
0
Suppose u - 4*u = 0. Suppose u = 5*k - 6*k + 2. Suppose 3*x = 3*a - 37 + 13, 2*a - 12 = x. What is the remainder when a is divided by k?
0
Suppose -3*c = z, 0 = z + 2*z + 4*c. Suppose z*o - 23 = -o. Calculate the remainder when o is divided by 6.
5
Suppose -5*y + 18 + 7 = 2*t, 5*t = 5*y - 25. Suppose t*j + j = 9. Calculate the remainder when j is divided by 4.
1
Calculate the remainder when ((-12)/(-9))/((-2)/(-33)) is divided by 6.
4
Suppose 0 = 4*j + 26 + 14. Calculate the remainder when (36/j)/((-2)/15) is divided by 10.
7
Let a = 166 - 129. Calculate the remainder when 258 is divided by a.
36
Suppose 3*s - 49 = 5. Let q = -37 - -39. Let i = s + q. What is the remainder when 38 is divided by i?
18
Suppose -3*h + 2*y + 46 = -53, -3*h = 3*y - 99. Calculate the remainder when h is divided by 19.
14
Calculate the remainder when 64 is divided by ((-3)/(-12))/((-6)/(-312)).
12
Suppose 5*p = -3*a + 8, -5*a - 3*p = -6 - 2. Suppose -4*o + 2 = g - a, 3*g + 9 = -3*o. What is the remainder when 7 is divided by o?
1
Suppose -7 - 3 = -2*s. Suppose -s*o = 3*t - 13 - 73, 4*t + o - 126 = 0. Calculate the remainder when t is divided by 17.
15
Let r = -25 - -63. Calculate the remainder when r is divided by 23.
15
Let o(q) = -2*q**2 + 15*q - 3. Calculate the remainder when 98 is divided by o(4).
23
Calculate the remainder when 11/(0 + (-4)/(-8)) is divided by 6.
4
Suppose 0 = -3*i + 4*d + 4 + 64, i - 16 = -2*d. Calculate the remainder when i is divided by 8.
4
Suppose 123 = 2*b - 1. Calculate the remainder when b is divided by 16.
14
Let w(q) = 50*q - 13. What is the remainder when w(6) is divided by 36?
35
Let y be (-112)/(-12) - (-4)/6. Let d be 3/(-6) - 1/(-2). Let g = d + y. Calculate the remainder when 39 is divided by g.
9
Let c(m) = m**3 - 4*m**2 - 1. Calculate the remainder when 69 is divided by c(5).
21
Let l = -21 - -19. Calculate the remainder when 25/2 - 1/l is divided by 5.
3
Suppose 531 + 249 = 6*l. What is the remainder when l is divided by 22?
20
Let s be (5 - 2)*1/1. Suppose s*r + 1 = 25. What is the remainder when r is divided by 5?
3
Suppose -q + 12 = -26. What is the remainder when q is divided by 13?
12
Suppose 