when 105 is divided by (-3)/(12/(-44)) - (5 - 6)?
9
Let p(a) = -a**2 - 6*a + 2. Let i(o) = 4*o - 2. Let q be i(2). Let v = 12 + q. What is the remainder when v is divided by p(-4)?
8
Calculate the remainder when 29 is divided by (7 + 3)/((-2)/(-3)).
14
What is the remainder when 98 is divided by (-204)/(-8) - 1/2?
23
Suppose 4*v - 171 + 19 = 0. What is the remainder when v is divided by 10?
8
Let f(n) = n - 3. Let h be f(6). Suppose c - l = 2 - 0, 0 = -c + 4*l + 2. What is the remainder when 8/(-12)*h*-1 is divided by c?
0
Let l be (-53)/(-2) + 1/2. Let s(i) = 2*i**2 + 3*i + 1. Let r be s(-2). Calculate the remainder when l/(r - (2 - 0)) is divided by 14.
13
Calculate the remainder when -4 - (-24)/(5 - 2) is divided by 3.
1
Let s(y) = -13*y - 1. Let i be ((-2)/3)/((-6)/(-180)). What is the remainder when (3 - i)*(0 - -1) is divided by s(-1)?
11
Suppose 3*l - q = 55, 4*q + 6 = -2*l + 38. Calculate the remainder when -6*((-29)/2 + 3)/1 is divided by l.
15
Let v be 46*1/(-4)*2. Suppose 0 = 5*m - m - 28. Calculate the remainder when (-51)/(-34) + v/(-2) is divided by m.
6
Let w = -19 - -29. Let p = 14 - w. Suppose h - 18 = -5*h. Calculate the remainder when p is divided by h.
1
Let x(h) be the third derivative of -h**6/40 + h**3/6 - 2*h**2. Let z be x(1). What is the remainder when z*((-387)/6)/3 is divided by 15?
13
Let h be (6/(-15))/((-1)/10). Suppose -h*b = -22 - 42. Let p(i) = i**2 - 6*i + 6. Calculate the remainder when b is divided by p(6).
4
Suppose -2*c - 2 = -72. Let l = -18 + c. Calculate the remainder when l is divided by 9.
8
Suppose 2*q + 5*u = 29, -4*q + 6*u - u = -43. What is the remainder when 70 is divided by q?
10
Let y(k) = 7*k**3 - 2*k**2 - 5*k - 4. Let t be y(-2). Let f = -32 - t. What is the remainder when f is divided by 14?
12
Suppose 4*w = 2*w + 12. What is the remainder when 33 is divided by w?
3
Let l = 19 + -14. Calculate the remainder when l is divided by 2.
1
Suppose 11*k - 71 = 50. What is the remainder when 40 is divided by k?
7
Suppose -4*n + 370 = -70. What is the remainder when n is divided by 28?
26
Let p(b) = b**2 - b - 23. What is the remainder when p(13) is divided by 45?
43
Let z(r) = -2*r - 5. Calculate the remainder when 16 is divided by z(-5).
1
Let x(w) = 2*w - 2. Let k = -2 - -5. Let g be x(k). Suppose -v + g*c + 15 = -19, v - 31 = 3*c. What is the remainder when v is divided by 8?
6
Suppose -4*s + 21 = -3. Let n = 11 + s. Suppose 4*r + 27 = 7*r. Calculate the remainder when n is divided by r.
8
Let j(a) = -a - 3. Let w be j(-5). Suppose w*f = 4*f - 34. Calculate the remainder when 50 is divided by f.
16
Suppose 14 = 3*q - 28. Suppose 43 = 6*k - k + z, -2*k + 2*z + 10 = 0. What is the remainder when q is divided by k?
6
Let b = -11 + 16. Suppose 2*w - b*l + 2 = 0, -4*w + 3*w + 5*l = 6. Calculate the remainder when w is divided by 3.
1
Suppose -168 = -3*y + d, d + 1 = 4. Suppose 6*n = 3*n + y. Calculate the remainder when 92 is divided by n.
16
Suppose 5*i - 59 = 3*n, 2*n = 4*i + 7*n - 25. Let u = 2 - i. What is the remainder when 23 is divided by (u/6)/((-4)/24)?
7
Suppose 2*k - 3*b + 2 = -0, -k + 4*b + 4 = 0. What is the remainder when 79 is divided by 20/((-2 - k)/2)?
19
Let m(f) = f - 5 + 11 + 12*f. What is the remainder when m(3) is divided by 24?
21
Let x = 27 + -19. Let u = 14 - x. Calculate the remainder when u is divided by 4.
2
Let f(s) = 3*s**2 - 3*s - 2. Let m be f(-4). Suppose 2*k + 38 = -44. Let u = m + k. Calculate the remainder when u is divided by 9.
8
Let c = -4 - -28. Calculate the remainder when c is divided by ((-6)/(-2))/(-24) - 82/(-16).
4
Let u = 158 + -90. What is the remainder when 269 is divided by u?
65
What is the remainder when 117 is divided by (-4 - (0 + -1)) + 35 + -1?
24
Let j(f) = -f**3 - 11*f**2 - 11*f + 1. Let p(w) = -w**3 - 5*w**2 - 2*w - 2. Let y be p(-4). What is the remainder when j(y) is divided by 4?
3
Let s(z) = 25*z**2 - 1. Calculate the remainder when s(1) is divided by (-3)/(-9) - (-38)/3.
11
Let x(s) = s**3 - 9*s**2 + s + 4. Calculate the remainder when x(9) is divided by 5.
3
Let q be -3 + (-1 + 10 - -3). Suppose 5*i = 4*l + 115, -4*i = -i - 5*l - 69. Let t = i - q. Calculate the remainder when t is divided by 4.
2
Let r(l) = 15*l**2 + 5*l - 4. What is the remainder when 92 is divided by r(1)?
12
Suppose 300 = 8*j - 4*j. What is the remainder when j is divided by 20?
15
Let v(r) = r**3 - 2*r**2 + 1. Let u be v(2). Calculate the remainder when 11 is divided by 1*(1 + 2 + u).
3
Let w = 36 - 25. Let m be 2/4 + 7/2. Suppose -2*j - 4*x - x = -65, -m*j + 2*x + 70 = 0. Calculate the remainder when j is divided by w.
9
Let q be ((-16)/6)/((-5)/15). Suppose -k + 4 = -q. Let w(y) = -2*y**3 - 3*y**2 - 2*y + 2. Calculate the remainder when w(-3) is divided by k.
11
Let u be ((-4)/(-10))/((-2)/(-10)). Suppose 4*t = -u*x - 8, x + 3*t - 5 = 4*t. Calculate the remainder when x is divided by (-2)/4*-2*2.
0
Suppose 0 = -w - w + 4. What is the remainder when 14 is divided by -2 + (-1)/(w/(-14))?
4
Let i = 138 - 48. What is the remainder when i is divided by 23?
21
Suppose -88 = -4*u - 3*z, z - 21 = -0*u - u. Suppose -3*c + u = 2*c. What is the remainder when c is divided by 2?
1
Let c be (-12 - (-3 - -1))*3. Let z = -13 - c. Calculate the remainder when z is divided by 9.
8
Suppose -4*w + 1322 = -2*i, i - 1642 = -0*w - 5*w. Calculate the remainder when w is divided by 66.
65
Let x(p) = -33*p - 6. Let n(j) = -17*j - 3. Let c(k) = -5*n(k) + 3*x(k). Let f be 24/(-15) - 4/10. Calculate the remainder when c(f) is divided by 9.
7
Calculate the remainder when 20 is divided by 10/(-5) + -1 + 10.
6
Let j be -1 + 0 + 37 - 1. Suppose -j = 4*x - 199. Suppose -54 = -3*y + 3*n, 0 = -0*n + 3*n + 12. What is the remainder when x is divided by y?
13
Suppose 5*v = -2*u + 1 - 4, 0 = 4*v + 4*u + 12. Let m = 1 + v. What is the remainder when 3 is divided by m?
1
Suppose 5*d - 17 = 3*f + 64, 2*d - 36 = 3*f. Calculate the remainder when (-11)/22 + (-2)/(-4) + 29 is divided by d.
14
What is the remainder when 42 is divided by 5/(-10)*-6*3?
6
Suppose 26*g = 30*g - 160. Calculate the remainder when g is divided by 36.
4
Let p(x) = x**3 - 4*x**2 + 5*x - 3. Suppose 2 = 2*h - 3*s, h + 10 = -s + 1. Let n = h + 12. What is the remainder when n is divided by p(3)?
1
Suppose 2 + 2 = j. Let f = 2 - -1. Suppose -u = 5*l - 9, -3*l + 0 = 3*u - f. Calculate the remainder when j is divided by l.
0
Suppose d + 3*w = 18, 0 = 2*d - 5*w - 20 - 71. What is the remainder when 2 + 3 + 1 + d is divided by 8?
7
Let f(h) = 9*h**2 - h. What is the remainder when f(2) is divided by 12?
10
Suppose -2 = -2*o + 4, -5*s + 15 = 5*o. Suppose s = 4*h + 28 - 340. Calculate the remainder when h is divided by 27.
24
Let d(w) = -w**3 - 5*w**2 + 2*w + 1. Let y be d(-5). Let n = -5 - y. What is the remainder when 4*-4*(-15)/24 is divided by n?
2
Let j(y) = 0 + y**2 - 1 + 0. Let v(i) = 7*i**2 - i - 5. Let t(l) = -5*j(l) + v(l). What is the remainder when t(4) is divided by 10?
8
Let x = -9 + 13. Suppose d + 8 = -4*o, o + x = 2*d - 7. What is the remainder when 15 is divided by d?
3
Let f = -7 - -11. Let n(r) = r**3 - 4*r**2 + 2*r - 3. Calculate the remainder when n(f) is divided by 2.
1
Let l be 3*-2 + -2 + -1. Let o(r) = 33*r**2 + 2*r + 1. What is the remainder when o(-1) is divided by ((-3)/l)/((-3)/(-99))?
10
Suppose 0 = -2*s - 4*k + 246, -k - 654 = -5*s + 2*k. Calculate the remainder when s is divided by 19.
15
Suppose 4*z - 3*z = 40. Suppose 0 = -u + 5*h + z - 13, -4*h = 20. Let i = u - -3. Calculate the remainder when 13 is divided by i.
3
Let p be ((-6)/1)/((-3)/90). Suppose -55*f + p = -50*f. Let c = 34 - 15. What is the remainder when f is divided by c?
17
Suppose y = -w + 3, -2*w + 2*y + 19 = w. What is the remainder when 2/w - 429/(-15) is divided by 10?
9
Suppose -4*j = -45 + 9. Let a(l) = -l**2 + 25. Suppose -2*z = -0*z + s + 4, 5*s = -20. What is the remainder when a(z) is divided by j?
7
Let m(r) = -r**3 + 4*r**2 + 3*r - 5. Calculate the remainder when -4 + 2 - -1 - -51 is divided by m(3).
11
Let s be 2/3*6*1. Suppose -4*a - 3*d = -60, -5*a + 3*d + 0*d = -75. What is the remainder when a is divided by (-1)/s - 165/(-20)?
7
Suppose -3*u = -6*t + 3*t - 45, -5*u + 54 = 2*t. Calculate the remainder when ((-18)/(-12))/(1/u