the remainder when 11 is divided by l.
3
Let f(r) = -r - 6. Let v be f(-5). Let m = v - -3. Suppose 54 = 5*z - m*w, 0 = -2*z + w - 6*w + 39. What is the remainder when 23 is divided by z?
11
Let m(u) = u**3 - 8*u**2 - 11*u + 7. Let w be m(9). Let j = 22 + w. Let l = -11 + 31. Calculate the remainder when l is divided by j.
9
Suppose 4*n - 3*y - 2*y + 85 = 0, -4*n - 4*y - 112 = 0. Let p = n - -16. Let z(f) = f**2 + 8*f - 6. Calculate the remainder when 8 is divided by z(p).
2
Let s = -202 - -346. Suppose 0 = -4*i + s + 52. Suppose -2*q + i + 33 = 0. What is the remainder when q is divided by 21?
20
Let d = 11 - 2. Suppose -3*i = -54 + d. What is the remainder when i is divided by (2*-3)/((-3)/4)?
7
Let m be (-6)/4*(-6)/(-9). Let l(r) = 2*r**2 + 5*r - 4. What is the remainder when (15/(-2))/(m/2) is divided by l(-4)?
7
Suppose 170 = 7*z - 5*z. What is the remainder when z is divided by 29?
27
Let y(s) = -12*s - 2. Calculate the remainder when 35028/546 - 3/((-78)/(-4)) is divided by y(-2).
20
Suppose 4*j - 247 + 27 = 0. What is the remainder when j is divided by 8?
7
Let s(b) = -b**2 + 5*b + 1. Let h be s(6). Let q = 19 + h. Calculate the remainder when 41 is divided by q.
13
Suppose 4*z = 45 + 3. Let a be (-8)/(-28) - (-38)/14. Calculate the remainder when 1 + 1/(a/66) is divided by z.
11
Suppose 4*o + a - 25 = 0, 5*o + 0*o + a = 30. Suppose 5*d - 34 = 4*x, 2*d + 0*d = 5*x. Suppose 5*p - d = 55. Calculate the remainder when p is divided by o.
3
Suppose 0 = 14*m - 464 + 114. Let r = -26 + 12. Let q = 23 + r. Calculate the remainder when m is divided by q.
7
Suppose -11*p + 492 = 41. Suppose 0 = -2*c - 5*x + 17, -5*c - x + 28 = -72. Calculate the remainder when p is divided by c.
20
Suppose p + 4*i - 3 + 11 = 0, 4*p = 5*i + 10. Suppose p = 5*u - 3*u - 34. What is the remainder when 32 is divided by u?
15
Suppose 0 = -3*p + 116 + 304. Calculate the remainder when p is divided by 36.
32
Let r = 56 + -3. Calculate the remainder when r is divided by 28.
25
Let i be -1 + -1 + (2 - -4). Let j = 10 + i. Let h = 44 - 18. What is the remainder when h is divided by j?
12
Let i be (-3)/((-9)/273) + 0. Suppose -5*z = -i + 36. Let t(r) = -19*r + 1. What is the remainder when t(-1) is divided by z?
9
Let a be 22/2 - (-2 + 1). Let o = a + -8. Let m(u) = 2*u**2 - 8*u + 12. What is the remainder when m(3) is divided by o?
2
Let o(f) = f**2 - f - 1. Let q be o(2). Suppose q = 2*i + 3*p, -2*i + 4 = -3*p - 3. Calculate the remainder when i is divided by 2.
0
Suppose 0 = 4*j - 25 - 7. Let q(o) = -5*o - 8. Let u(f) = -f. Let y be u(6). What is the remainder when q(y) is divided by j?
6
Let m(z) = -z + 8. Calculate the remainder when 15 is divided by m(2).
3
Let c = 2 - -2. Let t = 6 + -1. What is the remainder when t is divided by c?
1
Suppose -119 = 4*s - 11*s. Let b = -11 - -17. Calculate the remainder when s is divided by b.
5
What is the remainder when 3 + -4 + 3 - -77 is divided by 27?
25
Suppose -5*d + 3*d + 6 = 0. Suppose -d = -2*m + 25. What is the remainder when 25 is divided by m?
11
Let p(a) = a + 1. Let m be p(1). Let u(r) = 11*r - 4. Let z = 105 + -52. Calculate the remainder when z is divided by u(m).
17
Let q = -8 + 11. Suppose 0*s - q = s. Let d = s + 8. Calculate the remainder when d is divided by 3.
2
Let o be (-1)/2*(1 + -1). Suppose -i + 2*y = o, -i - 2*y = -0*y. Suppose -5*w + i*w = -105. Calculate the remainder when w is divided by 11.
10
Suppose -4*w + 132 - 32 = -4*o, -4*w - 4*o = -60. What is the remainder when w is divided by 11?
9
Let h(z) = -z**2 + 6*z - 2. Suppose 3*m = -3*w + 9, 3*w + 4 = -w. What is the remainder when h(4) is divided by m?
2
Let y = -4 + 17. Let s = -53 - -60. What is the remainder when y is divided by s?
6
Let v(h) = h**3 - h**2 + 1. Let z be v(2). Suppose z*q + g - 69 = 0, -2*g - 5 = 3*g. What is the remainder when 55 is divided by q?
13
Suppose -2*w - s = -13 - 6, 0 = -4*w + 5*s + 73. Suppose 2*m - 20 = -2*z - z, 0 = -3*z + 3*m. Calculate the remainder when w is divided by z.
0
What is the remainder when (-32)/(-10)*(126/4 - 4) is divided by 31?
26
Suppose -7*s = -3*s - 3*h - 35, 0 = 4*s + 4*h. Suppose -2*d - 15 = -s*d. Calculate the remainder when d is divided by 2.
1
Let g = -30 - -53. What is the remainder when 61 is divided by g?
15
Let g(t) = 6*t + 6. Suppose 0 = -3*q + 2*q + 5. Suppose 2*s = s, 38 = 2*z - 4*s. What is the remainder when g(q) is divided by z?
17
Suppose 8 - 50 = -3*b. Let x(f) = f**2 + 5*f - 5. Let q be x(-6). Suppose -b = -y - q. Calculate the remainder when 37 is divided by y.
11
Let p be (-128)/(-10) - (-3)/15. Let s = -9 + p. What is the remainder when s is divided by 3?
1
Let t(u) = -u**3 - 5*u**2 + 5*u + 7. Let i = -31 + 68. What is the remainder when i is divided by t(-6)?
11
Suppose -4*a + 21 + 3 = 0. Let x(m) = 12*m + 34. What is the remainder when x(-2) is divided by a?
4
Let c(y) = -4*y - 21. What is the remainder when 12 is divided by c(-7)?
5
Let l = 43 + -24. What is the remainder when 33 is divided by l?
14
Suppose -5*g + 6*i = 2*i - 19, 4*i + 7 = g. Suppose x + k + k = 0, 0 = 3*k + g. Calculate the remainder when x is divided by 1.
0
Let l(y) = -9*y - 16. What is the remainder when l(-9) is divided by 34?
31
Let j(u) = -9*u - 8. Let i be j(-6). Let g(l) = l**2 + l + 5. Let t be g(-5). Let z = i - t. What is the remainder when z is divided by 8?
5
Let t(j) = 11*j - 5. Calculate the remainder when t(2) is divided by 9.
8
Calculate the remainder when 39 is divided by (-2 + 3)*20/2 - 0.
9
Let q be (-4)/(-2) - (-21 - 2). Suppose 5*p - 23 = 3*p - 3*r, -4*r - 17 = -p. Let h = q - p. Calculate the remainder when 22 is divided by h.
10
Let b(u) = -u - 1. Let k be b(1). Let t be ((-3)/(-9))/(k/(-6)). Suppose 0 = 2*p + g - 20, g + t = p - 9. Calculate the remainder when 28 is divided by p.
8
Suppose -21*f = -18*f - 669. What is the remainder when f is divided by 56?
55
Suppose -u = -2*u + 20. Calculate the remainder when 57 is divided by u.
17
Let p(r) be the second derivative of -r**3/6 - 3*r**2 + r. What is the remainder when 8 is divided by p(-9)?
2
Suppose -6*a + 19 = -383. What is the remainder when a is divided by 17?
16
Let b(j) = -j**3 + 6*j**2 - j + 6. Let p be b(6). Suppose u - 12 = -p*u. What is the remainder when 34 is divided by u?
10
Let y = 112 + -17. What is the remainder when y is divided by 32?
31
Suppose u + 1 = 8. Let r = -28 + 15. Let t = 26 + r. Calculate the remainder when t is divided by u.
6
Let p(r) = -2*r**2 + 17*r - 5. Calculate the remainder when 6 is divided by p(8).
0
Let y be (-1 - -3)/2 + -3. Let l be -2 - 0 - y/1. Suppose l*i - 36 = -4*i. Calculate the remainder when 16 is divided by i.
7
Let k be (-49)/(-14) - (-1)/(-2). Suppose 5*q = 2*o + 27, -4*q + 4 + 11 = 5*o. Let g = q + k. What is the remainder when 14 is divided by g?
6
Let n = 38 - 39. Suppose 5*a - 9 = 3*l, a - 3*l - 3 = -6. What is the remainder when 1 is divided by (10 - 6) + n*a?
0
Let a = -11 + 25. Suppose 4*w - 3*s + 4 = 0, 3*w + 4 - a = -s. Calculate the remainder when w is divided by 1.
0
Suppose -5*m + 0*m + 465 = 5*f, 5*m - 2*f - 444 = 0. Suppose m + 12 = 3*d. What is the remainder when d is divided by 9?
7
Calculate the remainder when -68*1/(-10)*5 is divided by 9.
7
Let q = 20 + -96. Let m = 141 + q. Calculate the remainder when m is divided by 17.
14
Let h = 8 - -2. Suppose 0 = 5*o - o - 8. Suppose 2*s = g + 4*g - 105, o*g + s - 33 = 0. What is the remainder when g is divided by h?
9
Suppose 0*h - 2*h + 24 = 2*y, 2*y + h = 24. Calculate the remainder when 71 is divided by y.
11
Let j(b) = b**2 - 9*b + 3. What is the remainder when 11 is divided by j(9)?
2
Suppose -5*n + 90 = 35. Calculate the remainder when ((-2)/3)/((-6)/171) is divided by n.
8
Let q = 14 + -4. Let k = 19 - 16. Calculate the remainder when q is divided by k.
1
Let m(i) = -3*i**3 - 2*i**2 - 2*i + 2. What is the remainder when 64 is divided by m(-2)?
20
Let i be -3*(3 + -1 - 1). Let s(o) be the first derivative of -5*o**2/2 + 3*o + 1. Calculate the remainder when 53 is divided by s(i).
17
Let q = 11 + 18. Suppose 3*c - q = 16. Let u(x) = -x**2 - 6*x - 1. Calculate the remainder when c is divided by u(-5).
3
Suppose -3*y = -w - 3 + 2, 0 = -2*y - w - 6. Let d = 2 - y. Calculate the remainder when 4*(-1)/2*-2 is divid