- z. Calculate the remainder when k is divided by 6.
5
Let q = 26 + -16. Calculate the remainder when 19 is divided by q.
9
Let x = 14 + 9. What is the remainder when 313/7 + (-4)/(-14) is divided by x?
22
Let d(m) = 6*m**2 - 12 - 3*m - 8 + m**3 + 18. Calculate the remainder when d(-4) is divided by 9.
6
Let n = -67 + 81. Calculate the remainder when 25 is divided by n.
11
Let c = 5 + 7. Let z = 3 - -1. Suppose 3*i = z*i - 7. What is the remainder when c is divided by i?
5
Let j(a) = -a + a**3 - 5*a**2 - 1 - 3*a + 0*a**3. Suppose -4 = 3*x - 22. Calculate the remainder when 20 is divided by j(x).
9
Suppose -2*b + 30 = -296. Calculate the remainder when b is divided by 33.
31
Let f = 2 + -1. Let m(z) = z + 3 - f - 3. What is the remainder when 13 is divided by m(6)?
3
Let h(f) = 7*f + 7. Let v(y) = -8*y - 6. Let p(d) = -5*h(d) - 4*v(d). Calculate the remainder when p(-12) is divided by 9.
7
Suppose -4*t - 4*r = -0*t - 76, -1 = -r. What is the remainder when t is divided by 10?
8
Let p be 4*(2 - -1)/3. Suppose 5*s = 5, 13 = p*y - s - 30. What is the remainder when y is divided by 7?
4
Let t = 297 + 3. Suppose -5*c + 5*k = -t, -5*c + 3*k + 195 + 99 = 0. Suppose c = 4*s - 3. Calculate the remainder when s is divided by 8.
7
Let j = -19 + 32. Calculate the remainder when 37 is divided by j.
11
Let x(s) = -1 + 2 + 2*s**2 - 3*s - 3*s. Let y(a) = a + 18. Let d be y(-14). What is the remainder when x(d) is divided by 5?
4
Let z(q) = -6*q - 2. What is the remainder when 179 is divided by z(-8)?
41
Suppose 5*w - 131 = 4*r - 35, 5*w + 2*r - 72 = 0. Let z(x) = 2*x**2 + 8*x - 2. What is the remainder when z(-8) is divided by w?
14
Let d = 117 + -121. Let b(x) = 4*x**3 - x + x**2 + 4*x**2 - 2 - 3*x**3. What is the remainder when 35 is divided by b(d)?
17
Let j be (-2)/(-2 + 3) + 4. Suppose 0 = -2*q - 4, 0 = -2*v + q - j - 48. Let w = v - -44. What is the remainder when w is divided by 10?
8
Let j be 12/30*(7 - -3). Let n = 0 - -2. What is the remainder when 1/(2/j*1) is divided by n?
0
What is the remainder when 74 is divided by (-132)/(-7) + (-15)/(-105)?
17
Let y(c) = 3*c - 15. Suppose -f - 2*q + 8 = -0*q, 5*f - 3*q - 27 = 0. What is the remainder when 10 is divided by y(f)?
1
Suppose 3*u = 2*o - u - 10, 4*u = -8. What is the remainder when 2 is divided by o?
0
Let n be (-10)/(-6) + (-5)/(-15). Let q(z) = -4*z - 3 + 7*z**n - z**3 + 11*z - 7 + 3*z. Calculate the remainder when 17 is divided by q(8).
5
Let t = -90 - -137. What is the remainder when t is divided by 17?
13
Suppose 5*d - 2*d - 117 = 0. Suppose -4*u + 3 = -3*u. Suppose -5*x + 0*x + 4*l = -54, 0 = u*x - 4*l - 34. Calculate the remainder when d is divided by x.
9
Let s = -59 + 81. What is the remainder when s is divided by 5?
2
Suppose -16 - 14 = -5*u. Suppose 4*k = l + 90, -7*k + 5*l = -2*k - 105. What is the remainder when k is divided by u?
5
Let a = 19 + -13. Let m = 31 + -15. Calculate the remainder when m is divided by a.
4
Suppose -7 = -2*i + 1. What is the remainder when 14 is divided by i?
2
Let n(y) = 1 - 13*y - 7 + 5*y. Let t be n(-6). Suppose t = -v + 2*v. Calculate the remainder when v is divided by 15.
12
Let d(l) = l**3 + 10*l**2 - 14*l + 14. Let y be d(-11). Calculate the remainder when y/6 - (-1)/6 is divided by 3.
2
Let z be 1/5 - (-11)/(-5). Calculate the remainder when (5/10)/(z/(-64)) is divided by 9.
7
Suppose -12*c - 24 = -16*c. What is the remainder when 9 is divided by c?
3
Let t(r) be the first derivative of -r**2/2 - 8*r + 2. Let z be t(-8). Suppose -6 = -4*a - 2*m + 16, z = 3*m + 3. What is the remainder when 11 is divided by a?
5
What is the remainder when 7 is divided by 2/(3 + (-8)/4)?
1
Let j(c) = c**3 - 7*c**2 + 11*c + 2. Calculate the remainder when j(6) is divided by 11.
10
Suppose 2 = -2*h + 4. Calculate the remainder when 4 is divided by h.
0
Let w = 36 - 22. Let r = w - 0. Let z = 4 + 1. Calculate the remainder when r is divided by z.
4
Suppose -4*f + 112 + 12 = 0. Let h = 5 + -7. Let o(x) = -x**3 - 2*x - 1. Calculate the remainder when f is divided by o(h).
9
Let n = -66 + 133. Calculate the remainder when n is divided by 17.
16
Let z(p) = p**3 + p**2 - p + 22. Suppose 4*t - 102 = 66. Suppose 0 = 4*m - t - 6. Calculate the remainder when z(0) is divided by m.
10
Suppose 4*y = 2*y + 20. Let p = 0 + 4. Calculate the remainder when y is divided by p.
2
Let d = 59 - 47. Calculate the remainder when 45 is divided by d.
9
Let z be -4 + 2 - (0 + -1). Let i = 3 + z. Suppose t + 6*s = 3*s + 8, 0 = -s + i. Calculate the remainder when 5 is divided by t.
1
Suppose 0*m + 2*m = 10. Let o(c) = -c**2 + 7*c - 1. Calculate the remainder when 25 is divided by o(m).
7
Let d = -8 - -6. Let m(h) = -2*h**3 - h**2 + 2*h - 1. Calculate the remainder when 12 is divided by m(d).
5
Let x(f) = -f**3 + 4*f**2 + f. Let i(l) = 4*l**3 - l**2 + 1. Let y be i(1). Suppose 0 = -2*r + y*r - 12. Calculate the remainder when r is divided by x(4).
2
Suppose h - 8 = 10. Calculate the remainder when 1/(-6) - (-638)/12 is divided by h.
17
Suppose 135 = -2*m + 7*m - 5*v, 0 = 3*v + 3. Let s = m - 13. Calculate the remainder when 49 is divided by s.
10
Suppose -4*d + 0*d + 2 = 5*y, 2*d = -2*y. Let x = -29 + 58. What is the remainder when x is divided by 21/2 - d/(-4)?
9
Let v(f) = 3*f**2 + 20*f + 6. Calculate the remainder when 43 is divided by v(-7).
4
Suppose 0 = 4*a + 8 - 64. What is the remainder when a is divided by 8?
6
Let v = -21 + 23. What is the remainder when (-2)/(0 - (-2)/(-3)) is divided by v?
1
Suppose 0 = -b - 3*b - 4. Let t = b + 13. What is the remainder when 45 is divided by t?
9
Suppose -3*p + 3*n + 0*n + 6 = 0, -5*n + 8 = -2*p. Suppose 2*g + p = 3*g. Calculate the remainder when 17 is divided by g.
5
Suppose 0 = -9*j + 4*j + 50. What is the remainder when 27 is divided by j?
7
Suppose 4*a = a - 4*v + 23, v = 2. Suppose 5*o = f + 43, 2*o - a*f + 1 = 4*o. What is the remainder when 6/(-9)*3*-11 is divided by o?
6
Let u = 43 + -30. Let m = 22 + 3. Calculate the remainder when m is divided by u.
12
Let a = 4 - -6. Suppose f + z - a = 0, 3*f - 10 = 2*f - 5*z. What is the remainder when 38 is divided by f?
8
Let o = 154 + -87. Suppose 15 = 2*v + v. Suppose 34 + 81 = v*k. Calculate the remainder when o is divided by k.
21
Let u be 18 + (-6)/(2 + 1). Let h = 3 - -5. Calculate the remainder when -2 + u + 0/(-2) is divided by h.
6
Suppose 10 = 3*l - 23. Calculate the remainder when (30/7)/(l/77) is divided by 11.
8
Suppose -5*f - 14 = -49. Suppose -5*q + 3 = -f. Suppose 0*r + 25 = p + q*r, 5*p - 5*r - 80 = 0. What is the remainder when p is divided by 7?
5
Suppose 3*k + 2*w = 38, -4*k - w = -0*k - 49. What is the remainder when k is divided by (-34)/(-4) + (-3)/2?
5
Let z = -41 + 23. Let j = z + 29. What is the remainder when 42 is divided by j?
9
Let d = 1 - 1. Let x = d - -1. Let n = 2 + x. What is the remainder when 6 is divided by n?
0
Let w = 15 + -7. Calculate the remainder when w is divided by 5.
3
Let l = -3 - -17. What is the remainder when (-348)/(-7) + l/49 is divided by 17?
16
Let f = -13 - -37. What is the remainder when 45 is divided by f?
21
Let r(d) = -d. Let w be -4 - -5 - (-9)/3. Suppose -3*t = -6, 24 = 4*p - 0*t + w*t. Calculate the remainder when p is divided by r(-2).
0
Suppose 17 = 2*k - 83. Let l(m) = -6*m + 7. Let g(z) = z + 1. Let a(y) = -3*g(y) - l(y). What is the remainder when k is divided by a(9)?
16
Let o = -33 - -81. What is the remainder when o is divided by 17?
14
Suppose -2*v = v - 18. Let m = 3 - v. Let w(l) = -l**3 + 3*l**2 + l - 1. What is the remainder when w(m) is divided by 17?
16
Suppose -4*v = 8*u - 9*u - 9, -3*v - 6 = -5*u. What is the remainder when 8 is divided by u?
2
Let y(c) = -4*c + 8. What is the remainder when (-1)/1 - 0 - -14 is divided by y(0)?
5
Let s be (-3 - -3) + (1 - 1). Suppose -g + 4 = o + 3, 5*o + 2*g - 17 = s. What is the remainder when o is divided by 2?
1
Let v be (1/3)/(2/30). Suppose v*h - 2*l = 76, 0*l - 68 = -4*h - 2*l. What is the remainder when h is divided by 9?
7
Suppose 3*d + 5*s - 273 + 95 = 0, d - 5*s = 86. What is the remainder when d is divided by 2 + (-15)/((-1)/1)?
15
Let o(a) be the first derivative of a**3/3 + a**2 - a + 1. Let i = 9 - 5. What is the remainder when o(2) is divided by i?
3
What is the remainder