 the remainder when 6/8 - y/(-8) is divided by q(-3).
8
Let b = 8 - 5. Suppose -2*k = -3*p - 20, 0 = 5*k - 4*k + 5*p + 16. Calculate the remainder when k is divided by b.
1
Calculate the remainder when 19*(-2)/(-1 - 1) is divided by (-2)/4 - (95/(-10) - -4).
4
Let l(n) = 42*n**3 + 2*n - 2*n - n. Let q(y) = -y**2 + 11*y + 21. What is the remainder when l(1) is divided by q(11)?
20
Let q(b) = 12*b + 83 + 7*b - 81. What is the remainder when q(1) is divided by 11?
10
Calculate the remainder when ((-12)/(-3))/((-4)/(-26)) is divided by 14.
12
Suppose -5*r + 3*a + 235 = 0, -280 = -5*r - 3*a - 45. What is the remainder when r is divided by 24?
23
Let v = 8 - -2. Let t = v + -5. Let a = 15 - 8. What is the remainder when a is divided by t?
2
Let w = 100 + -65. Calculate the remainder when w is divided by 9.
8
Suppose -3*r + 15 + 48 = 0. What is the remainder when (-2)/(-7) + 418/7 is divided by r?
18
What is the remainder when 68 - -2*(-20)/8 is divided by 27?
9
Let s(o) = -o. Let b be s(-6). Let h be (-5 + b)*(-2 - 1). What is the remainder when 12 is divided by (7/h)/(1/(-3))?
5
Suppose -d = 9*d - 410. What is the remainder when d is divided by 7?
6
Suppose -2*f = -4*i + 12, 5*f - 1 = -i - 9. Suppose 0 = i*h - 3*h - 3, -2*w - 4*h = -22. What is the remainder when w is divided by 6?
5
Suppose -5*c + 70 = y, 6*y = -3*c + 5*y + 44. What is the remainder when c is divided by 8?
5
Calculate the remainder when (-3 - -5) + (-18)/(-1) is divided by 7.
6
Suppose -29 = -h - 0. Calculate the remainder when h is divided by 10.
9
Let t = 10 + -2. Let n = 92 - 78. What is the remainder when n is divided by t?
6
Let v = 166 - 150. What is the remainder when 63 is divided by v?
15
Let o be (-3 - -6)/((-3)/(-2)). Calculate the remainder when o + (-2 - 0 - -20) is divided by 7.
6
Suppose 4*g - 7*g + 12 = 0. Suppose -g*n + 6 = -2. Let o(w) = -w**3 + 5*w**2 - 3*w - 3. What is the remainder when o(3) is divided by n?
0
Suppose 5*c + 26 = 4*o, 5*o + 2*c - 49 = -0*o. Calculate the remainder when o is divided by 4.
1
Let z(f) = -f + 9. Let g be z(6). Suppose -2*r + 7 = -0*c + c, 0 = -g*c - 2*r + 41. Let t = -2 - -8. Calculate the remainder when c is divided by t.
5
What is the remainder when 106 is divided by 2/(-8) + (-109)/(-4)?
25
Let f(k) = -8*k + 2. Let g be f(4). What is the remainder when 25 is divided by 1/(-2 - g/14)?
4
Let v(u) = 2*u**2 - 4*u + 4. Let f be v(3). Suppose -18 = 4*q - q. Let l = f + q. Calculate the remainder when 6 is divided by l.
2
Let l(p) = 11*p**2 - 5*p**2 - 2*p + 6 - p**3 + 0*p**3. What is the remainder when 39 is divided by l(5)?
18
Suppose 0 = 2*r - 0*r - 5*l, -10 = -5*l. Suppose 0*h = -r*h - 4*u + 179, -3*u + 108 = 3*h. Calculate the remainder when h is divided by 12.
11
Suppose -38 - 62 = -5*r. Calculate the remainder when r is divided by 14/3*12/8.
6
Let a be 13/3 + (-2)/6. Suppose 2*b + a*d - 26 = 0, 67 = 5*b + 3*d - 33. Calculate the remainder when b is divided by 8.
7
Suppose 4*x - 53 = 3*c, 0*c = c - 5. Suppose 3*y + 15 = 39. Let k = -2 + y. Calculate the remainder when x is divided by k.
5
Suppose 30*t - 26*t = 340. Calculate the remainder when t is divided by 22.
19
What is the remainder when 60 is divided by 29 - ((-3 - 3) + 3)?
28
Suppose 6*l - 33 = 3*l. Let o be l/2 - 5/(-10). Suppose -r - 4*u + o = -9, 2*r + 5*u = 30. Calculate the remainder when 44 is divided by r.
14
Calculate the remainder when (-1)/(-6) + (-58)/(-12) is divided by 4.
1
Calculate the remainder when (-6)/4*4/(-2) is divided by (-2)/(-4)*(-12)/(-3).
1
Let p be 1/1*188 + 1. Suppose -5*g - p - 421 = 0. Calculate the remainder when g/(-8) - 3/(-4) is divided by 6.
4
Let n = -55 + 61. What is the remainder when 38 is divided by n?
2
Suppose 5*g = 5*t - 20, -3*g - 17 = 4*t - 47. Suppose 2*w - 1 = -k, 0 = t*w - 3*w + 9. Suppose 2*o - k = o. What is the remainder when o is divided by 4?
3
Suppose p - 12 = -5. Let x(i) = -i**3 + 7*i**2 + 6. Calculate the remainder when 22 is divided by x(p).
4
Let r = 43 - 31. Calculate the remainder when r is divided by 3.
0
Let p be ((-2)/(-4))/(2/184). Let s = p - 21. Calculate the remainder when 48 is divided by s.
23
Suppose n = -11 - 7. Let h be (-50)/n - (-20)/90. Suppose h*u = u + 26. Calculate the remainder when 51 is divided by u.
12
Let i = -10 - -20. Let q = 4 - 14. Let z = q - -38. What is the remainder when z is divided by i?
8
Suppose -g = -0*g - 4. Let x(m) = 1 + 11 + g + m - 3. What is the remainder when 17 is divided by x(-7)?
5
What is the remainder when ((-107)/(-5))/((-1)/(-5)) is divided by 27?
26
Suppose -27 - 37 = -4*a. What is the remainder when 57 is divided by a?
9
Suppose 2*f - 5*f = -9. Let r(k) be the second derivative of -k**4/12 + 5*k**3/6 - 3*k**2/2 - k. Calculate the remainder when 5 is divided by r(f).
2
Let d be (-2 - -1) + 1*-9. Let p = d + 14. Suppose 2*t + 2*v = 12, 0 = t + 2*v - p*v + 3. Calculate the remainder when 4 is divided by t.
1
Let n = 15 - 0. Let s be 2/8 + n/4. Suppose c - s*c = -27. What is the remainder when c is divided by 5?
4
Suppose -2*r + 27 - 7 = 0. Suppose -3*b - 16 = 5*s + 11, 0 = -2*b + 2*s - 2. Let a = b - -10. Calculate the remainder when r is divided by a.
4
Let g be (-8 - -9)*(2 - 1). What is the remainder when 6 is divided by 2*g/(1/2)?
2
Let z = -2 + 16. What is the remainder when 53 is divided by z?
11
Let x(v) = v**3 + 7*v**2 - 10*v - 7. Let g(y) = -y**2 - y - 8. Let l be g(0). Calculate the remainder when x(l) is divided by 4.
1
Suppose -37*o + 11*o + 130 = 0. Let l(h) = -5*h**3 + h**2 + 2*h - 1. Let f be l(-2). What is the remainder when ((-2)/6)/((-1)/f) is divided by o?
3
Let q = 7 - 5. Suppose -2*v - 3*y = -45, -v - 2*y = q*v - 75. Calculate the remainder when v is divided by 10.
7
Let f = -18 - -45. Let b = f - 9. Suppose 4*l - l - 30 = 0. What is the remainder when b is divided by l?
8
Let f(p) be the second derivative of -p**3/3 + p**2 - 2*p. Let z be f(4). What is the remainder when -6*4*z/8 is divided by 10?
8
Let t = -19 + 21. Let c be (-4)/2 - (1 + 1). Let x(h) = h + 5. What is the remainder when t is divided by x(c)?
0
Let n = 14 + -1. What is the remainder when n is divided by 7?
6
Suppose 0 = 3*o - 6*o - 6. Calculate the remainder when 23 is divided by (-1)/o - 30/(-4).
7
Let k = 16 + -7. Let m(x) = -18*x - 2. Let d be m(-3). Suppose d = 3*g - g. What is the remainder when g is divided by k?
8
Suppose -429 = -3*s - 3*k, -5*s + 2*s - k = -429. Calculate the remainder when s is divided by 49.
45
Suppose 4*b + 3 = 3*a - 19, 0 = -3*a - 5*b + 13. Suppose -92 = 2*u - a*u. What is the remainder when u is divided by 6?
5
Let a(j) = -j**3 + 3*j**2 + 6*j - 2. Let h be a(4). Suppose -2*u + h + 2 = 0. Suppose -u*p = 18 - 90. What is the remainder when 53 is divided by p?
17
Let b = -115 + 130. What is the remainder when 117 is divided by b?
12
Let k = 49 + -37. What is the remainder when 20 is divided by k?
8
Suppose -3*q - 4*n = 2*q - 25, 4*q + n - 20 = 0. Suppose 2*m = -q*z + 45, -z + m - 6 + 15 = 0. Calculate the remainder when 25 is divided by 78/z*(-3)/(-2).
12
Calculate the remainder when 23 is divided by ((-21)/(-14))/((-13)/(-6) - 2).
5
Suppose q - 48 = 4*s, -3*s = -q + 60 - 11. What is the remainder when q is divided by 27?
25
Let p(r) = 6*r + 8. Let l be p(-6). Calculate the remainder when 2*2*(-329)/l is divided by 12.
11
Suppose 0*w = 2*w. Suppose -g + 14 = 4*g - 4*b, w = 2*b - 8. Calculate the remainder when 22 is divided by (g/4)/((-3)/(-16)).
6
Suppose -3*i - 166 = -4*q - 51, -i = -2*q + 57. Suppose 5*r - q = -3*z + 15, r = z - 1. Calculate the remainder when 10 is divided by z.
4
Let q = -15 - -29. Let u = 22 - q. What is the remainder when 29 is divided by u?
5
Suppose 10 = -4*c + 6*c. Suppose 0 = -i + c + 7. What is the remainder when 34 is divided by i?
10
Suppose 0*s + 4*o - 6 = -2*s, 2*o = 2*s - 24. Calculate the remainder when 76 + 0 - (-7 + s) is divided by 19.
17
Suppose -2*t = -5*x + 61, -8 + 67 = 5*x - 3*t. What is the remainder when 130/6 + 2/6 is divided by x?
9
Suppose 1 = 4*j - 75. Suppose 3*t = -4*y + 16, -4*t - y - 2*y + j = 0. Suppose -t*d = -25 - 31. What is the remainder when d is divided by 5?
4
Suppose -k = 4 - 34. What is the remainder when k is divided by 16?
14
Let n(d) = 36*d + 7. What is the remainder when n(2) is d