).
8
Suppose 5*z - 12 = 33. Let l = 79 + -45. Calculate the remainder when l is divided by z.
7
Let q(r) = 78*r**2 + r - 1. Calculate the remainder when q(1) is divided by ((-15)/2)/(174/48 + -4).
18
Suppose -c = -n + 4*c + 25, 20 = -5*c. What is the remainder when 11 is divided by n?
1
Let n = -11 - -32. Calculate the remainder when n is divided by 12.
9
Let b = -5 - -7. Calculate the remainder when 37 is divided by -2 + 22 + (b - 3).
18
Let t = 44 + 17. Suppose -2*p - 3*b + 0*b + 38 = 0, -40 = -2*p - 4*b. Calculate the remainder when t is divided by p.
13
Let a = -48 + 51. Let k be (23/(-2))/(1/(-2)). Suppose a*y - k - 7 = 0. What is the remainder when y is divided by 3?
1
What is the remainder when 77 is divided by 5/((-140)/(-12)) + (-270)/(-7)?
38
Let c be (-3)/(3/(-12)*6). What is the remainder when (1/c)/(1/8) is divided by 3?
1
Suppose 3*r + 3*l - 3 = -0*r, -2*l = 2. Suppose w + 4*w + r*u = 24, 0 = 3*w + u - 14. What is the remainder when 11 is divided by w?
3
Let v = 146 + -117. Calculate the remainder when 110 is divided by v.
23
Suppose 2*y - 2*a - 144 = 0, y - 7*a - 66 = -3*a. What is the remainder when y is divided by 19?
17
Let a(c) = -5*c**3 + 2*c - 1. Let v be a(1). Let j be v/(-10) - 24/10. Calculate the remainder when (-1)/j*2 - -22 is divided by 12.
11
Suppose -p + 4 + 5 = 0. What is the remainder when 42 is divided by p?
6
Suppose -2*p = -26 + 8. Suppose 0 = 4*t + 3*k - 83, 2*k + 49 = 4*t - p. Suppose 0 = 3*h - 31 - 65. Calculate the remainder when h is divided by t.
15
Suppose 0 = -10*c + 9*c + 20. Suppose 4*h + h - 2*i = 25, 5*h - 25 = -2*i. Suppose -h*q - 8 = -63. Calculate the remainder when c is divided by q.
9
Let z(y) = -14*y + 1. Let g be z(-1). Suppose 9*h - 4*h = g. Calculate the remainder when 4 is divided by h.
1
Suppose -z + 8 = 3*z. What is the remainder when 52 is divided by 2*(-1)/z - -19?
16
Calculate the remainder when (-4)/(-6) - (-282)/9 is divided by 9.
5
Suppose 11*j - 6*j = 0. Suppose 0 = -j*d + d - 5. What is the remainder when 13 is divided by d?
3
Let g be (-1 + 3)*(-6)/(-4). Suppose 5*k = 20, -5*d + g*d + 5*k = 0. Suppose -3*m - 2*m = -20. What is the remainder when d is divided by m?
2
Suppose -3*n + 33 = -3*h, 0*h - 5*h + 10 = 0. Suppose 2 + n = 5*v. What is the remainder when 9 is divided by v?
0
Suppose 0 = -6*f + 15 + 63. What is the remainder when 23 is divided by f?
10
Suppose 0 = -3*o - z + 13, 3*o + z + 2*z - 21 = 0. What is the remainder when 5 is divided by o?
2
Let q = 11 + -9. Calculate the remainder when 62 is divided by q/7 + (-178)/(-14).
10
Let i be -60 + -3 - 0/(-3). Let b = -21 - i. Calculate the remainder when b is divided by 22.
20
Let g = -26 - -138. Suppose 2*j = -0*j + g. Calculate the remainder when j is divided by 15.
11
Suppose -4*o + 5*w + 27 = -0*w, 2*o = 5*w + 21. Suppose o*h - 3 = -18. Let j = -2 - h. Calculate the remainder when 4 is divided by j.
1
Let t be (9 - -3) + -3 + -2. Suppose -x = -2*x + t. What is the remainder when 25 is divided by x?
4
Let f(c) = 3*c**2 + 9*c + 13. What is the remainder when 67 is divided by f(-4)?
17
Let k = 64 - 45. Calculate the remainder when 34 is divided by k.
15
Suppose 3*h = y - 3, -5*y + 0*h + 3*h = -75. Calculate the remainder when y is divided by 11.
7
Calculate the remainder when (6/((-48)/(-142)))/((-2)/(-8)) is divided by 18.
17
Let k(n) = n**2 + 8*n - 5. Suppose -2*l + 4*l = -20. Calculate the remainder when 43 is divided by k(l).
13
Let b be (60/(-50))/(4/(-10)). Suppose 0 = 4*i - b*i + 5*v - 121, 3*v = 15. Calculate the remainder when i is divided by 33.
30
Suppose -5*b = -5*w + 50, 3*w - 2*b + 4 = 29. Suppose -m - 2*m + 47 = 2*s, 4*s = 4*m - 36. What is the remainder when m is divided by w?
3
Let c(g) = g**3 + 11*g**2 - 32*g - 17. What is the remainder when c(-13) is divided by 22?
17
Suppose 2*l = -3*m + 314, 2*m - 12 = -m. Suppose -4*r + 73 = -l. Calculate the remainder when r is divided by 19.
18
Suppose 0 = -0*o - 5*o + 85. Calculate the remainder when 66 is divided by o.
15
Let v(c) = -12*c - 5. Let z(u) = 11*u + 4. Let k(d) = 2*v(d) + 3*z(d). Calculate the remainder when k(3) is divided by 10.
9
Let j be 1/5 - 84/20. Let g = j - -6. Suppose 15 = g*h + 3. Calculate the remainder when 22 is divided by h.
4
What is the remainder when 34 is divided by (-124)/(-16) + -2*(-9)/(-24)?
6
Let r = 29 + -21. Calculate the remainder when 20 is divided by r.
4
Suppose k - 2 = -4. Let l be k/(-8) + 75/20. Let d = l + 17. Calculate the remainder when d is divided by 11.
10
Suppose 5*b - 715 = -0*b. Suppose b = 2*f - 3*q, -q = -3*f + 2*q + 210. Calculate the remainder when f is divided by 17.
16
Suppose -20*k = -16*k - 68. Calculate the remainder when 28 is divided by k.
11
Let z(v) = 4*v**2 + 17*v - 1. Let p(n) = n**2 + n + 1. Let s(k) = 6*p(k) - z(k). Let l be ((-8)/5)/((-2)/10). What is the remainder when s(l) is divided by 12?
11
Let s(r) = 4*r**3 + 4*r**2 - 5*r + 4. Let n(c) = c - 2. Let l be n(1). Calculate the remainder when s(2) is divided by 3 - -13 - (-1)/l.
12
Suppose 22 = -y + 4. Suppose -2*n - 125 = 3*n. Let f = y - n. What is the remainder when f is divided by 4?
3
Let n = -73 - -150. Suppose 0 = 2*u - a - 3*a - 44, -5*u - a + n = 0. Let x = 21 + -12. Calculate the remainder when u is divided by x.
7
Let f = 6 - 4. Calculate the remainder when 104/f - (-2)/(-2) is divided by 13.
12
Let f(q) = -2*q + 4. Suppose 3*d + b = 365, -36 - 99 = -d + 3*b. Suppose d = 2*m + m. Calculate the remainder when m is divided by f(-5).
13
Suppose 2*d - u = -0*u + 8, u + 12 = 3*d. Suppose q = -q - 2*m, -d*q + 5*m + 18 = 0. What is the remainder when 36 + 0 + 1 + q is divided by 14?
11
Let o(c) = c**3 + 12*c**2 - c - 3. What is the remainder when o(-5) is divided by 36?
33
Let n(c) = -2*c**2 + 14*c - 14. What is the remainder when n(5) is divided by 3?
0
What is the remainder when 109 is divided by 1*2 - (-6 - -7)*-8?
9
Let n(d) = d**2 - 5*d - 10. Let p be n(8). Let f = p + 21. Calculate the remainder when f is divided by 9.
8
Suppose 8*p - 420 = -100. Suppose -s = -13 - 1. What is the remainder when p is divided by s?
12
Suppose 8*v - 4*v - 16 = 0. Suppose v*z - 8*z = 56. Let i = 21 + z. What is the remainder when 25 is divided by i?
4
Let b(a) = -8*a + 2. Let w(d) = -d. Let l(f) = -b(f) + 5*w(f). What is the remainder when 6 is divided by l(2)?
2
Let c(x) = 2*x**3 - x**2 - 3*x + 2. Let b(l) = l + 2. Let g be b(0). What is the remainder when c(g) is divided by 5?
3
Let m(r) = -r**3 + 6*r**2 + 3*r - 6. Suppose -h = 3*b - 31, h = 5 - 1. Suppose -t + 30 = b. What is the remainder when t is divided by m(6)?
9
Let a = -5 + 26. What is the remainder when 82 is divided by a?
19
Suppose 3*i - 109 = 209. Calculate the remainder when i is divided by 18.
16
What is the remainder when -8*-3*(-5)/(-12) is divided by 3?
1
Let l(p) = 3 + 8*p - 5 + 2*p. Calculate the remainder when 13 is divided by l(1).
5
Suppose 86 = r + r + 4*a, -3*r + 151 = -5*a. Suppose 0 = -t + 3 + 9. Calculate the remainder when r is divided by t.
11
What is the remainder when -1 + (-20)/50 + (-324)/(-10) is divided by (-46)/(-3) - 2/(-3)?
15
Suppose 4*b - 2*x = 254, 5*b + x = 2*b + 178. Suppose 14 + 2 = r. Calculate the remainder when b is divided by r.
13
Let a be 24/(-14) - (-2)/(-7). Let q(k) = -k. Calculate the remainder when 5 is divided by q(a).
1
Suppose 32 = 4*m + 4*i, -16 = 2*m - 4*m + 2*i. Calculate the remainder when 71 is divided by m.
7
Let g(o) be the second derivative of 0 - 1/6*o**3 + 13/2*o**2 + 2*o. Calculate the remainder when 25 is divided by g(0).
12
Let p(d) = d**2 + 9*d - 28. Calculate the remainder when 44 is divided by p(-12).
4
Let a be 8/(-5)*405/18. What is the remainder when 1 + a/(-1) - -1 is divided by 10?
8
Let j(c) = -c + 1. Let f be j(1). Suppose -2*i - 28 = -3*r, 2*r - 4*r - 3*i + 23 = f. Calculate the remainder when 18 is divided by r.
8
Let y = 15 + -42. Let g = y + 45. Calculate the remainder when 52 is divided by g.
16
Let z(i) = -i - 1. Let k be z(-5). Suppose -5*c = -3*c - k. What is the remainder when 5 is divided by c?
1
Let d = -5 - -8. Suppose -4*l = -2*o + 24, l = 5*o - 12 - d. What is the remainder when 20 is divided by 3 + -1 - 25/l?
6
Calculate the remainder when 4/(-18) - (-4 - (-1516)/(-18)) is divided by 13.
10
Let z(d) 