6) - 1/(-3) is divided by 9.
8
Let r = 7 + -5. Suppose -3*f - r = 2*k - 43, -2*f - 5*k + 31 = 0. Suppose 3*y - 145 + f = 0. What is the remainder when y is divided by 15?
14
Suppose -4*x - 8 = -2*x. Let z = x + 4. Suppose z = i - 6 - 3. Calculate the remainder when i is divided by 5.
4
Let j(m) = m**3 - 3*m**2 - m - 3. What is the remainder when 13 is divided by j(4)?
4
Let q be 26/3 + 3/9. Suppose 0 = -y + 5*i - 13, 4*i + 1 = q. What is the remainder when 6 is divided by (-30)/(-9) - 2/y?
2
Let m = 9 - 10. Calculate the remainder when 49 is divided by 20 - 6 - m/(-1).
10
Suppose 0 = 2*d - 7*d + 100. Suppose i - d = -6. Calculate the remainder when 40 is divided by i.
12
Let m(i) = i - 7. Let d be m(10). Calculate the remainder when -7 + 17 + d/(-1) is divided by 3.
1
Suppose -4*m + 21 - 149 = -5*p, 0 = -m - 2. What is the remainder when 92 is divided by p?
20
Let z = -133 + 270. Suppose 96 = 4*t - 5*i, 5*t = -2*i - 17 + z. What is the remainder when 46 is divided by t?
22
Suppose 0 = -k + 47 - 10. Calculate the remainder when k is divided by 10.
7
Let z = -60 + 80. What is the remainder when 59 is divided by z?
19
Suppose -2*i = -5*i - 2*r + 76, r = 2. Let l be ((-4)/(-6))/(1/i). Let c = l - 10. What is the remainder when 17 is divided by c?
5
Let h = -32 + 50. Calculate the remainder when 51 is divided by h.
15
Suppose 6*m - 5*m - 22 = 0. Calculate the remainder when 63 is divided by m.
19
Let b = 20 - -7. Let q = 0 + 4. Suppose 4 = 4*m - 2*m + q*k, -3*k = 12. Calculate the remainder when b is divided by m.
7
Let x be (0 - (-3 + 1))*-3. Let p(u) = -2*u - 8. What is the remainder when 10 is divided by p(x)?
2
Let o = 8 - 8. Suppose o = -4*u + 10 + 30. Suppose -2*z + 9 = -27. Calculate the remainder when z is divided by u.
8
Suppose 0*h = 2*h - 6. Let z(c) = 2*c**3 + c**2 - c - 3. What is the remainder when z(h) is divided by 15?
12
Suppose -13 = -f + l, 6*f - 47 = 2*f - l. Calculate the remainder when 30*(f/(-9) - -2) is divided by 11.
9
Let p(c) = -2 + 2*c - 3 - c. Let n(t) = 4*t - 16. Let q(d) = -2*n(d) + 7*p(d). Calculate the remainder when 14 is divided by q(-8).
4
Let o be (-67)/(-5) + 2/(-5). Let b = -7 - -20. Let a = b + o. Calculate the remainder when a is divided by 9.
8
Let x(r) = r**2 - r + 3. Let j be x(6). Suppose 0 = 6*f - 3*f - j. What is the remainder when 31 is divided by f?
9
Suppose -13*o - 66 = -15*o. What is the remainder when 129 is divided by o?
30
Let s be -2*-1*1/1. Suppose -3*h = 3*g - 12, 4*g + 4 = 5*g - s*h. Suppose g*t = -2 + 14. Calculate the remainder when 10 is divided by t.
1
Let h = 10 + -8. What is the remainder when 7 is divided by h?
1
Let f be 3 + (-2 - (-12)/3). Suppose f = -t + 4*i, -3*i + 26 = 5*t - 18. What is the remainder when t is divided by 3?
1
Let t(p) be the third derivative of -p**4/8 - p**3 + 2*p**2. Calculate the remainder when (-570)/(-11) + 2/11 is divided by t(-8).
16
Let c(k) be the second derivative of k**5/20 - k**4/4 - k**3 + 3*k**2/2 - 2*k. Suppose f = -2*f + 15. Calculate the remainder when c(f) is divided by 8.
7
Suppose -3*w + 14 = -m, 17 = 4*w - m - 0. Suppose w*j - s - 1 = -0*s, j + s + 1 = 0. Suppose j = -3*n - n + 8. What is the remainder when n is divided by 2?
0
Suppose 2*o - 29 = -7. Suppose o*w - 135 = 6*w. Calculate the remainder when w is divided by 7.
6
Suppose -4*l - 4 = -2*m, m + 0 = 3*l + 4. Suppose h - 17 = -1. Calculate the remainder when 47/(l/(2 + -4)) is divided by h.
15
Let n be (-1 + -4)/(5 + -6). Let i be (24/30)/(1/5). Suppose -s + n = -i. What is the remainder when 26 is divided by s?
8
Suppose b - 2*b + 6 = -4*l, 2*b = 2*l + 24. Calculate the remainder when 47 is divided by b.
5
Let d(b) be the first derivative of b**2/2 + 3*b - 2. Suppose -n - 1 = 1. Calculate the remainder when 1 is divided by d(n).
0
Let d(n) = -n**2 + 14*n - 19. Suppose 3*w = u - 12, 4*w - w + 9 = 0. Suppose 4*s - 12 = v + 3, -u*v = -3. Calculate the remainder when d(12) is divided by s.
1
Let v(r) = r - 1. Let g(l) = -3*l**2 + 2*l. Let f(h) = -g(h) + v(h). Let s(d) = d**3 + 10*d**2 + 7*d + 7. What is the remainder when s(-9) is divided by f(2)?
7
Let f = -3 + 5. What is the remainder when (f - -40)*2/6 is divided by 5?
4
Let j(f) = -f**2 + 23*f - 49. What is the remainder when j(17) is divided by 8?
5
Let q = -103 - -107. Let d(n) = 2*n**2 + n**2 + 2 + 5*n - 2*n**2. Calculate the remainder when d(q) is divided by 13.
12
Let j(h) = 8*h - 5. Calculate the remainder when 79 is divided by j(4).
25
Let o(p) = -p**3 + 5*p**2 + 5*p. Let b be o(5). Suppose -2*y + 1 = -r - 0, 3*r + y - b = 0. What is the remainder when 13 is divided by r?
6
Calculate the remainder when 108 is divided by 6 + -6 + 3/(-1) + 13.
8
Suppose 5 = 2*x - c, -3*c - c = 4*x - 40. Suppose x*k = k + 12. Suppose k = -5*i + 38. Calculate the remainder when 18 is divided by i.
4
Suppose -2*v = -11 - 121. What is the remainder when v is divided by 17?
15
Let q(g) = -g**3 + 7*g**2 + 2*g - 7. Calculate the remainder when 11 is divided by q(7).
4
Calculate the remainder when ((-14)/8)/((-3)/36) is divided by 6.
3
Let d = 0 - -2. Suppose 0 = c + x - d, 7 = -4*c + 5*c - 4*x. Suppose 0*k - c*k = -39. Calculate the remainder when k is divided by 7.
6
Let v = -7 + 9. Suppose 0 = 2*f - 0*q - v*q - 14, 13 = f - 4*q. Calculate the remainder when f is divided by 2.
1
Let y be 27/(1 - 3 - -3). Suppose 9 + 56 = 5*l. Let g = y - l. What is the remainder when 26 is divided by g?
12
Suppose -1 = -2*h - 21. Let m = h - -16. What is the remainder when (-6)/9 + (-35)/(-3) is divided by m?
5
Let b = -224 + 102. Let m = -81 - b. What is the remainder when m is divided by 21?
20
Suppose 0 = -g - 0*d - 3*d - 3, 5 = -5*d. Suppose -7 = 3*q + 4*o, o + 4 + 0 = g. Let m(k) = k**3 - 3*k**2 + k. What is the remainder when 6 is divided by m(q)?
0
Suppose 7*m - 3*m - 48 = 0. Calculate the remainder when 35 is divided by m.
11
Let r(j) = -9*j**2 + j - 3. Let n be r(-2). Let x be 0 - 3/((-6)/(-14)). Let w = x - n. What is the remainder when w is divided by 18?
16
Let k(v) = -2*v - 3. Let w be k(-5). What is the remainder when 2/w - 346/(-14) is divided by 13?
12
Suppose -s = -4 - 1. Let j(o) = -o - 14. Let b be j(-7). Let p(q) = q**3 + 6*q**2 - 9*q + 4. What is the remainder when p(b) is divided by s?
3
Let g(u) = 8*u - 2. Let w be (-2 + 1)/((-1)/2). Calculate the remainder when 79/3 - 1/3 is divided by g(w).
12
Let x(m) = 0*m + 4*m**2 + 10*m - 6 - 5*m**2 - 1. Calculate the remainder when x(8) is divided by -4 + 0 + 2 - -8.
3
Let b(y) = 5*y**2 - 2*y + 2. Suppose k = -2*i - 0 + 2, -6 = -4*i - k. What is the remainder when (-10)/2*(-104)/10 is divided by b(i)?
16
Let x = 18 + 7. Let k(o) = -15*o - 23. Calculate the remainder when x is divided by k(-2).
4
Let g(n) = -n + 6. Calculate the remainder when (-1 - -28)*(-6)/(-18) is divided by g(3).
0
Let l = 65 + -51. What is the remainder when 67 is divided by l?
11
Let o(c) = c**3 - 5*c**2 - 7*c. Suppose 0 = 2*d + 2*d - 32. Let j be o(d). Suppose 39 = 5*b - j. What is the remainder when b is divided by 12?
11
Let k be (-20)/(-5) - (-1 + 3). Suppose 0 = -k*x - x + 285. Suppose h - x = -5*g, g - 4*h = 3*g - 20. What is the remainder when g is divided by 11?
9
Let t = 1 - -3. Suppose -t*a + 77 - 5 = 0. Calculate the remainder when a is divided by 5.
3
Let z = 55 + -18. Calculate the remainder when z is divided by 15.
7
Let k = -48 - -68. What is the remainder when k is divided by 8?
4
Suppose w + 146 = 3*a, -15 = a + 3*w - 47. Calculate the remainder when a is divided by 10.
7
Suppose 14 = 7*n - 5*n. Calculate the remainder when 26 is divided by n.
5
Let u = 5 + -1. Suppose 4*p = u*r + 100, 4*p + r + 2*r = 100. What is the remainder when p is divided by 9?
7
Let c(a) = a**3 - 27*a**2 + 52*a. What is the remainder when 249 is divided by c(25)?
49
Let o(z) = z**2 - 6*z + 3. Let g be o(5). Let d = 9 - g. Let x = 7 - 4. Calculate the remainder when d is divided by x.
2
Let k(l) = l - 5. Let j(c) = -1. Let i(x) = -4*j(x) + k(x). Let b(s) = 5*s**2. Calculate the remainder when i(9) is divided by b(-1).
3
Let o(v) = 9*v + 5. What is the remainder when o(6) is divided by 15?
14
What is the remainder when 669/21 - -1 - 3/(-21) is divided by 9?
6
Calculate the remainder when -26*(-2)/(20/25) is divided by 34.
31
Suppose 0 = 5