1). Suppose 2*a - a = -k. Let q = a - -23. What is the remainder when 38 is divided by q?
12
Let t(l) = -l**3 + l**2 + 3*l - 2. Calculate the remainder when t(-3) is divided by 13.
12
Let l be (-240)/2*(-9)/12. Suppose 5*v = -5*y + l, 3*v - 2*v = -3*y + 54. What is the remainder when 206/6 + 3/(-9) is divided by y?
16
Suppose 5*n - 3*n - 4*v + 4 = 0, v + 9 = 3*n. What is the remainder when 25 is divided by n?
1
Let s = 12 + 62. Calculate the remainder when s is divided by 26.
22
Let x(n) = n**3 + 11*n**2 + 11*n + 13. Suppose 44 = 3*y - 7*y. Let a = y - -19. What is the remainder when a is divided by x(-10)?
2
Suppose -x + 128 = -f, -4*x + 226 = 2*f - 286. Suppose -5*j + 43 = k, x = 2*k + 2*k - 2*j. Calculate the remainder when k is divided by 12.
9
Let i = 7 - 5. Let j be 1*20*(i + 0). Let f = j + -22. Calculate the remainder when f is divided by 10.
8
Let z(k) = k + 5 + 11 - 4 - 2. Calculate the remainder when z(-7) is divided by 2.
1
Let i = 26 + -8. Let f be 7 + (6/(-2))/3. Suppose 3*w = -4*t + 30, -f*t + 20 = 2*w - t. Calculate the remainder when i is divided by w.
8
Let p be (-10)/(-8)*(101 - 1). Suppose 0*z - 5*v = 5*z - p, 4*v = -2*z + 52. Suppose z = 3*x - 21. Calculate the remainder when 43 is divided by x.
13
Suppose 0 = 4*j + 16, -3*c - c = -5*j - 84. Let m = -11 + c. Let v = m + 9. Calculate the remainder when v is divided by 8.
6
Suppose 3*z - 132 = d, -5*d = z - 1 - 59. Calculate the remainder when z is divided by 8.
5
Let k(m) = m**2 + 6. Calculate the remainder when 20/(3 - (6 + -5)) is divided by k(0).
4
Let z be (3/(-3))/(2/4). Let u be z - (-1)/(-2)*-2. What is the remainder when 41 is divided by (-5)/u*(-189)/(-45)?
20
Suppose 2*m = 3*m - 8. Calculate the remainder when 14 is divided by m.
6
Let o(f) = -12*f - 39. Calculate the remainder when o(-5) is divided by 8.
5
Suppose -6*b = -9*b + 87. Calculate the remainder when b is divided by 10.
9
Let w = 11 - 3. Let y be (2 - 6) + (-1 - -2). Let c(n) = n**2 + 2*n. Calculate the remainder when w is divided by c(y).
2
Let l(a) = -2*a + 2. Calculate the remainder when 37 is divided by l(-3).
5
Let j be (-2 - 1)/(3/8). Let v = j + 11. Calculate the remainder when 11 is divided by v.
2
Let d(n) = -n**3 + 6*n**2 - 2*n + 11. Calculate the remainder when 100 is divided by d(5).
22
Let g(k) = k**3 + 8*k**2 - k + 4. Let a be g(-8). Let q = a - 6. Calculate the remainder when 16 is divided by q.
4
Let d(h) = -h**3 + 12*h**2 - 10*h - 8. Let m be ((-1)/2)/((-3)/66). What is the remainder when 8 is divided by d(m)?
2
Let c(j) = j**3 - 6*j**2 + 4*j + 7. What is the remainder when c(6) is divided by 8?
7
Let v(h) = h. What is the remainder when 69/4 - (-6)/8 is divided by v(10)?
8
Suppose 6 = -3*r, 5*f = f + 4*r + 8. Suppose f*u + 26 = 2*u. Suppose 2*t = -2, 0 = -0*a + a - t - u. What is the remainder when 22 is divided by a?
10
Let f(x) = -3*x - 1. Let u be f(3). What is the remainder when 34 is divided by 4/u + (-186)/(-15)?
10
Let z(v) = 6*v - 23. Let l = 2 + -2. Let c = l + 9. Calculate the remainder when z(8) is divided by c.
7
Let y = -8 + 19. Calculate the remainder when y is divided by 6.
5
Let f be 129/27 - 8/(-36). Suppose -f*h + 17 = -8. What is the remainder when h is divided by 3?
2
Let q = -60 + 106. Let p(j) = -25*j**3 + 2*j**2 - 1. Let m be p(1). Calculate the remainder when q is divided by m/14*(-7)/1.
10
Let u(r) = -r**3 - 3*r**2 + r + 29. Calculate the remainder when 69 is divided by u(0).
11
Let s be (1/3)/((-3)/(-18)). Let m(l) = 13*l**2 - 3*l. What is the remainder when m(s) is divided by ((-216)/90)/((-3)/20)?
14
Suppose -5*g + 154 = -31. What is the remainder when g is divided by 13?
11
Let z(s) = -2 + 8 - 3*s + 2*s. Let a be z(6). Suppose 6 = 2*c - a*c. What is the remainder when 4 is divided by c?
1
Suppose 2*q = 4*q - 8. Let f(r) = -5*r**2 + 4*r - 3. Let c(d) = -4*d**2 + 4*d - 3. Let a(j) = -4*c(j) + 3*f(j). What is the remainder when 5 is divided by a(q)?
2
Let v = 12 - 11. Let m(g) = g**2 + g + 2. Let n be m(0). Let z = n - v. Calculate the remainder when 1 is divided by z.
0
Let n = -12 + 25. What is the remainder when (-2)/6 + (-145)/(-3) is divided by n?
9
Suppose 2*s - 5*s = 0. Suppose s = 3*w + 3*x - 15 - 18, x + 49 = 3*w. What is the remainder when 44 is divided by w?
14
Let g be -4*(-1)/2*1. Let k = 6 - 5. Calculate the remainder when (-2)/(0/3 - g) is divided by k.
0
Let m(v) = -2*v**3 + 2*v**2 + v - 1. Calculate the remainder when m(-2) is divided by 14.
7
Let r = -5 - -22. Let u = r + -6. Calculate the remainder when 32 is divided by u.
10
Calculate the remainder when (53 - 11)*(-2 - (-14)/6) is divided by 14.
0
Suppose 8*q = -5*c + 3*q - 15, 0 = -4*c - q + 3. Suppose 0*r - 10 = -c*r. Suppose -r*y - 20 = -200. Calculate the remainder when y is divided by 19.
17
Let k(c) = -c**3 - c**2 + 16. Let z be k(0). Calculate the remainder when 1 + 0 + (41 - 1) is divided by z + -5 + (1 - -2).
13
Suppose -2*j - 90 = 2*t - 854, -4*t + j = -1528. Suppose -1 = -2*x + 3*y + 27, 4*y + 8 = 0. What is the remainder when (-4)/18 - t/(-18) is divided by x?
10
Let v(q) be the first derivative of 2*q**3/3 - 2*q**2 + q + 1. Calculate the remainder when v(-4) is divided by 13.
10
Suppose 0*u + 7 = u. Suppose -2*f = -3*q + 5, 0 = 5*q - 2*f - 2*f - u. What is the remainder when q is divided by 3?
0
What is the remainder when (0/(-4) + -5)*-1 is divided by 3?
2
Let c(o) = -2*o**2 + 8*o + 6. Let v(b) = -3*b**2 + 9*b + 7. Let l(r) = -4*c(r) + 3*v(r). What is the remainder when 11 is divided by l(-3)?
2
Let i(k) = -k**2 + 5*k - 1. Let d be i(7). Let n = 44 - d. What is the remainder when n is divided by 15?
14
Let h be 6/(-21) - (-66)/(-14). Let a = 9 + h. Calculate the remainder when 13 is divided by a.
1
Let n(g) = -5*g**2 - 3*g + 7. Let s(m) = -2*m**2 - m + 2. Let i(q) = 3*n(q) - 8*s(q). Calculate the remainder when 14 + 1/(-1)*2 is divided by i(0).
2
Let v(n) = -n**3 + 5*n**2 - n - 3. Calculate the remainder when 32 is divided by v(3).
8
Let h = -4 + 7. Suppose 3*u - h*a = 24, 0*u - 3*u + 34 = -a. What is the remainder when 23 is divided by u?
10
Suppose 3*h = k + 1, 0 = -5*k - 5*h - 1 - 4. Let c = k + 69. Suppose 0 = -4*s + x - 3*x + c, 26 = 2*s - x. Calculate the remainder when 28 is divided by s.
13
Let a(x) = x**3 - 8*x**2 + 7*x. Let l be a(7). Suppose l = -0*i + 4*i - 36. Calculate the remainder when 24 is divided by i.
6
Let n(l) = l**2 + 5*l + 3. Let y be n(-5). Suppose 3*q + y = 4*q. What is the remainder when 5 is divided by q?
2
Let r be ((-147)/(-28))/(3/16). Let y = -13 + r. Suppose -2*q = -4 - 4. Calculate the remainder when y is divided by q.
3
Let b = 12 + -6. Calculate the remainder when ((-32)/6)/((-2)/6) is divided by b.
4
Calculate the remainder when 175 is divided by (-199)/(-6) + 3 - (-1)/(-6).
31
Suppose -4*i + 43 = -13. Calculate the remainder when 52 is divided by i.
10
Let l(q) = -3*q + 20. Suppose 9*z - 4*z = 70. Let p = z - 1. What is the remainder when l(-6) is divided by p?
12
Suppose 0*m = -5*m + 20. Suppose -m*k = -v - 2, v = -v - 4*k + 44. Calculate the remainder when 41 is divided by v.
13
Suppose -6 = -5*n + 34. Suppose -1 = 3*g + n. What is the remainder when (-1 - -35)/(5 + g) is divided by 10?
7
Let j(q) = -q**3 - 8*q**2 - 8*q + 1. Suppose z - 5*m - 140 = -3*z, -56 = -2*z - m. Let t = z + -8. What is the remainder when t is divided by j(-7)?
6
Let v(q) = -q + 1. Let o be v(3). Let y be (-5 - 0)*(-10 + 13). Let c = o - y. What is the remainder when c is divided by 7?
6
Let j = -16 - -3. Let v = 18 + j. What is the remainder when 19 is divided by v?
4
Let f(r) = -5*r + 18. Calculate the remainder when f(-10) is divided by ((-8)/(-10))/((-2)/(-35)).
12
Let u = 8 + -2. Let y(k) = -k + 0*k - 3 + u*k. What is the remainder when y(4) is divided by 9?
8
Let m be 2 + -1*8/4. Suppose 4*z - 4*y - 52 = 0, m = z + 4*y + 9 - 2. What is the remainder when z is divided by 5?
4
Let o(l) = l**3 + 7*l**2 + 4*l - 3. What is the remainder when 33 is divided by o(-6)?
6
Let g = -39 + 54. Calculate the remainder when 99 is divided by g.
9
Let b(k) = -k**3 + 10*k**2 - 8*k - 7. Let m be b(9). Suppose 23 = m*y - 5. What is the remainder when 41 is divided by y?
13
Suppose -g + 3*q = 2*g - 33, 4 = 2*g + 4*q. What is the remainder when (-2 - 88)/(-6) - 1 is divided b