at is the remainder when w is divided by 6?
5
Let d(v) = v + 1. Let n be d(4). Suppose -3 = m - n. Calculate the remainder when m is divided by 2.
0
Let v be ((-15)/(-6))/5*2. Let k(b) = 0*b - 1 - b + v. Calculate the remainder when 8 is divided by k(-5).
3
Calculate the remainder when (1 - 0)/(4/52) is divided by 7.
6
Let p(i) = 7*i + 48. Let y(k) = k**3 - 5*k**2 + 5*k - 9. Calculate the remainder when y(6) is divided by p(-4).
17
Let z = -42 - -67. Suppose -42 = -2*g + 2*i, 3*g - z = 2*g + 3*i. What is the remainder when g is divided by ((-7)/(-4))/((-2)/(-8))?
5
Suppose 5*k - 24 = -k. Suppose 5*j + 5*a = k*j + 9, -5*a + 145 = 5*j. Calculate the remainder when j is divided by 9.
7
Let k be (0/2)/(-3) + 3. Suppose -k*r - 112 = -2*a, -3*a + 85 = -2*r - 73. Calculate the remainder when a is divided by 17.
16
Let m be (-2)/(-11) - 80/(-44). Let z = 6 - m. Suppose 3*s + 13 = z*s. What is the remainder when s is divided by 5?
3
Suppose 0 = 3*d - o - 89, -5*o + 31 = 4*d - 113. What is the remainder when 245 is divided by d?
28
Let q(d) = d**3 - 11*d**2 + 11*d - 8. Let a be q(10). Suppose -4*s = a*p - 44, 2*s - 14 = -2*p + 10. What is the remainder when 38 is divided by s?
8
Let k be (-210)/(-27) + (-8)/(-36). What is the remainder when ((-22)/k)/(1/(-20)) is divided by 14?
13
Let b = 5 - 1. Suppose m - 2 = -3*t + 17, -4*t = -b. Let i = 8 - 2. Calculate the remainder when m is divided by i.
4
Suppose -198 = 9*g - 15*g. Calculate the remainder when 129 is divided by g.
30
Suppose 3*s + 24 - 5 = 4*g, 5*g = -3*s + 17. Let b(n) = -n**2 - 7*n + 2. Calculate the remainder when b(-4) is divided by g.
2
Suppose 5*r = 4*d - 14, 0 = -3*d - 5*r - 0*r - 7. Let s = 0 + 1. What is the remainder when d is divided by s?
0
Suppose 4*f - r = 2*r + 57, -4*f + 2*r = -54. Suppose 5*c = a + 21, 2*c - c = 5*a + 9. Suppose -92 = -c*w - 8. Calculate the remainder when w is divided by f.
9
Let d(b) = b**3 + 8*b**2 - 12*b - 11. What is the remainder when 62 is divided by d(-9)?
14
Suppose 0 = -5*k + 6*k - 15. Suppose 0 = g - 2*g + k. What is the remainder when g is divided by 9?
6
Suppose -4*s = 3*d - 2*d - 141, 0 = 5*d - 25. Calculate the remainder when 134 is divided by s.
32
Suppose -5*s + 2*s = -108. Suppose -2*u = u - s. Calculate the remainder when 47 is divided by u.
11
Let d(s) = s**2 + 3*s + 1. Let b be d(-4). Suppose 2*q - 4*n = 5*q - 74, 3*q - b*n - 56 = 0. Calculate the remainder when 1530/24 - (-2)/8 is divided by q.
20
Let l = -3 - -1. Let n be 26/1 + (l - -1). Calculate the remainder when 16 is divided by n/4 - (-1)/(-4).
4
Let b = 14 - -15. Let d = 0 - -3. Let w(j) = 2*j + 4. What is the remainder when b is divided by w(d)?
9
What is the remainder when 2 - 2 - 29/(-1) is divided by (-1 + 25)*(-16)/(-24)?
13
Suppose 5*c + 0*s - 164 = -s, 0 = -4*s - 4. Calculate the remainder when 63 is divided by c.
30
Suppose 2*b + 2*b = 24. Let k be 8/b*6/2. Let r = 0 + k. Calculate the remainder when 11 is divided by r.
3
Let t = 24 + -4. What is the remainder when 77 is divided by t?
17
Suppose -31 + 11 = -g. Calculate the remainder when g is divided by 11.
9
Calculate the remainder when 7905/75 - (-1 + 14/10) is divided by 18.
15
Let a(i) = -i**3 - 4*i**2 + 5*i + 3. Let r be a(-5). Suppose -42 = -3*q + r. What is the remainder when -4*(0 - q/6) is divided by 6?
4
Suppose 0*b = 3*b + 5*d - 22, 5*d + 32 = 3*b. What is the remainder when 92 is divided by b?
2
Suppose -2*f + 64 = -0*k + 2*k, 3*f = -k + 102. Calculate the remainder when f is divided by 10.
5
Suppose -5*p + 3*j = -143, 0 = -p + 3*p - 3*j - 59. Suppose -6*n + 4*n = -p. Calculate the remainder when 25 is divided by n.
11
Let u = -241 - -383. Calculate the remainder when u is divided by 24.
22
Suppose -4*r - 17 = -n, 14 = 2*n - 2*r - 8. Suppose 4*h + 75 - 211 = 0. Calculate the remainder when h is divided by n.
7
Let l(d) = d + 1. Let g be l(4). Let y be ((-6)/(-4))/((-3)/6). Calculate the remainder when (-6)/y + g*7 is divided by 13.
11
Let u be (-2)/(-3) - (-15)/(-9). Calculate the remainder when 52/6*(-4 - -7) is divided by (-16 + 2)/1*u.
12
Suppose 3*s = 4*s - 173. Let i be s/3 + (-5)/(-15). Let w = -41 + i. Calculate the remainder when w is divided by 9.
8
Suppose 5*y - 12 + 59 = 3*g, -3*g - 2*y + 19 = 0. Suppose -3*z = -0*z - 153. Calculate the remainder when 2*(z/(-2))/(-3) is divided by g.
8
Let x be (0 + 15)*1/(-3). Let k(w) be the third derivative of -w**4/8 - 5*w**3/6 - w**2. What is the remainder when 19 is divided by k(x)?
9
What is the remainder when 21*(-1 + (1 - -1)) is divided by 11?
10
Suppose 2*z - 36 = -4*g, z + g - 13 = -2*g. Calculate the remainder when z is divided by 10.
8
Let o be 13 + (-4 - (1 - 3)). Suppose -3*v = v + r - o, 0 = -5*v + 5*r + 20. What is the remainder when v is divided by 2?
1
Let c(x) = x - 1. What is the remainder when c(6) is divided by 2?
1
Let s = 8 + -3. Suppose -3*i + 0*h = h - 2, 0 = i - s*h - 22. Suppose 2*n + 32 = 6*n + 2*l, 0 = i*n - 2*l - 28. Calculate the remainder when 38 is divided by n.
8
Let k = -15 + 18. Calculate the remainder when 6 is divided by k.
0
Let h(s) = -5*s. Let z = 2 + -3. Let l be h(z). Suppose -2*i = l*p - 295, p = 5*i - 36 + 122. Calculate the remainder when p is divided by 21.
19
Let q = -19 - -38. What is the remainder when 52 is divided by q?
14
Suppose -3*n = 2*n - 5*k - 95, 4*k - 20 = -2*n. What is the remainder when n is divided by 5?
1
Let y(g) = g**3 - 13*g**2 + 2*g - 19. Let v be y(13). Suppose v*o - 161 = -0*o. Calculate the remainder when 67 is divided by o.
21
Suppose -2*u + 4*u = 12. Suppose -28 = -4*k - 12. What is the remainder when u is divided by k?
2
Let l = 1 + 1. Let c = l + 15. Calculate the remainder when c is divided by ((-10)/4)/(5/(-10)).
2
Suppose -3*v + 60 = -9. Calculate the remainder when v is divided by (0 - 9)/((-6)/8).
11
Suppose -103 = 4*u - 23. Let m be ((-9)/2)/((-3)/u). Let c = -15 - m. What is the remainder when c is divided by 8?
7
Let s(n) = 5*n**2 - 2*n - 7. What is the remainder when s(3) is divided by 21?
11
Let o(r) = -31*r - 1. Let i be o(-1). Suppose 2*a - i = 2*m, -31 = -a + 3*m + 2*m. What is the remainder when 43 is divided by a?
10
Let n(g) = -g**3 + 6*g**2 - 5*g + 5. Suppose 2*w - 2*y - 24 = 0, 0 = -w - y - 1 + 7. Calculate the remainder when w is divided by n(5).
4
Suppose -4*q + 5*q = c - 7, -4*c = 3*q - 42. Calculate the remainder when 11 + 3 - (-3 - 0) is divided by c.
8
Suppose -2*l - 3*l - 18 = -2*a, -a = 4*l - 35. Calculate the remainder when 36 is divided by a.
17
Suppose -1 = r - 4. What is the remainder when 9 is divided by r?
0
Suppose 0 = 5*w - 2*i - 2*i + 11, 2*w + 5*i + 11 = 0. Let f(r) = -18*r + 2. Calculate the remainder when f(w) is divided by 19.
18
Suppose 2*v - 4 - 20 = 0. What is the remainder when v is divided by 5?
2
Suppose 66 = 2*l + 5*x, 4*l - 53 = x + 79. Suppose -3*s - 5*d = 15 - 43, 3*s = -4*d + 26. What is the remainder when l is divided by -3 + (24 - s/2)?
15
Suppose 5*n + 10 = 2*n + 5*b, -n + 10 = b. Let k(c) = c**2 + 2*c. Calculate the remainder when k(5) is divided by -5*(-2 - 2/n).
11
Suppose -5*a + o + 47 = 18, -5*o - 25 = -a. Let q(t) be the third derivative of t**5/60 - t**4/24 - t**2. Calculate the remainder when q(a) is divided by 7.
6
Let o = -7 + 12. Suppose 0 = o*s - 0*s - 75. What is the remainder when 29 is divided by s?
14
Suppose -5*j = -y + 6, 4*j = -3*y - 14 - 6. Let t be (j + 1)*(-5 + 0). Suppose t*n - 30 = -0*n. What is the remainder when n is divided by 4?
2
Let p(v) be the second derivative of v**4/12 + 3*v**3/2 - 7*v**2/2 - 11*v. Let q = -10 - -18. What is the remainder when p(-11) is divided by q?
7
Let n = 7 + 12. What is the remainder when 34 is divided by n?
15
Let o = -67 + 110. Let c = 88 - o. What is the remainder when c is divided by 24?
21
Let r = -140 - -147. What is the remainder when r is divided by 3?
1
Suppose -6*y + 35 = -79. Let b = 22 - -13. What is the remainder when b is divided by y?
16
Let r(x) = 3*x**2 + 2*x + 2. What is the remainder when r(-5) is divided by 10?
7
Let d(z) = 3*z**2 - z - 1. Let p be d(-1). Suppose p*y = -0*y + 3. Calculate the remainder when 0*y/(-3) - -29 is divided by 10.
9
Suppose -4*o = -p + 4, 2*o = -2*o. Suppose -2*a + 7*a - 115 = -5*g, g = -p. What is the remainder when a is divided by 