ed by 7?
6
Let o(l) = 2*l + 36. Calculate the remainder when o(3) is divided by 22.
20
Let q(m) = m**3 - 5*m**2 - 2*m - 1. Let b be q(6). Suppose g = -0*g + b. Let u = g + -15. Calculate the remainder when 22 is divided by u.
6
Let y(k) be the third derivative of k**6/120 + 7*k**5/60 + k**4/6 - 7*k**3/6 + 10*k**2. What is the remainder when 14 is divided by y(-6)?
4
Suppose w + 4 = 3*w. Suppose 2*u - 2*b = -b + 35, u - w*b - 25 = 0. Suppose 0 = -3*l + l + 16. Calculate the remainder when u is divided by l.
7
Let h = -2 + 4. Suppose 2*k - 77 = -h*c - 3*c, 2*c = -2*k + 80. Calculate the remainder when k is divided by 4/(-18) + (-128)/(-9).
13
Let x(w) = -7*w - w**3 + 10*w**2 - 2 + 3*w - 4*w. What is the remainder when x(8) is divided by 21?
20
Let m be -1*(-33)/(4 + -1). Let k = m - 6. Suppose k*d = -0*d + 35. Calculate the remainder when d is divided by 3.
1
Let y(h) = h**2 + h + 1. What is the remainder when y(-2) is divided by ((-2)/4)/(5/(-20))?
1
Calculate the remainder when 17 is divided by (2/3)/(6/27).
2
Suppose -3*h + 499 = 2*q, h - 6*h = -2*q - 805. Calculate the remainder when h is divided by 33.
31
Suppose 3*w - 481 = 2*s - 19, -5*s + 15 = 0. What is the remainder when w is divided by 40?
36
Suppose -13 = -4*m + 47. Suppose -2*r + 0 = -18. Calculate the remainder when m is divided by r.
6
Suppose 29*f + 78 = 31*f. What is the remainder when f is divided by 11?
6
Let o = -11 - -18. Calculate the remainder when 27 is divided by o.
6
Suppose -3*c = 2*c - 4*v - 32, 3*v = -9. Suppose c = 4*d - 20. Suppose -19*i + 18*i + 17 = 0. What is the remainder when i is divided by d?
5
Suppose -j + 36 + 3 = -2*g, 0 = -2*j + 3*g + 73. Calculate the remainder when 144 is divided by j.
28
Let t(w) be the second derivative of w**4/6 + w**3/6 + 3*w**2/2 + 2*w. Calculate the remainder when t(0) is divided by 2.
1
Suppose -5*p + 10*p - 16 = -2*w, 0 = -4*w - 2*p + 48. Calculate the remainder when 88 is divided by w.
10
Let a(w) = 13*w**2. Calculate the remainder when 35 is divided by a(1).
9
Suppose -4*x = -3*l - x + 153, -255 = -5*l - x. Suppose 46 = 4*j + 2*f, -3*j + f = -5 - 37. What is the remainder when l is divided by j?
12
Calculate the remainder when (-42)/(-2) + 1 + -3 is divided by (-34)/(-4) - (-1)/(-4)*6.
5
Calculate the remainder when (-1240)/(-52) - 2/(-13) is divided by 20 - 4 - (-9)/(-3).
11
Let s be -7*(-2 + (-8)/(-7)). Suppose -s*c + 2*c - 5*m + 152 = 0, 5*c - 4*m = 190. What is the remainder when c is divided by 10?
8
Let r = 11 - 7. Let h = 4 - r. Suppose 4*v = 5*y - 261, 2*y - 7*y + v + 264 = h. Calculate the remainder when y is divided by 14.
11
What is the remainder when -2 - (4 + -101 - -2) is divided by 19?
17
Let q = 14 + -1. Suppose n - u = u - 10, 5*n - 15 = -3*u. Suppose -4*a = -n*a - 96. What is the remainder when a is divided by q?
11
Let c(y) = -y**2 - 12*y - 7. Calculate the remainder when 38 is divided by c(-10).
12
Let j(b) be the third derivative of b**5/60 + b**4/4 + b**3/3 + 3*b**2. What is the remainder when 33 is divided by j(-7)?
6
Suppose 0 = 2*g - 94 + 40. Calculate the remainder when g is divided by (-30)/(-4) - (-2)/(-4).
6
Let x(s) = -s**3 - 4*s**2 + 5*s + 4. Let v(p) = p**3 - 1. Let q be v(0). Calculate the remainder when (q + 2)*(1 - -6) is divided by x(-5).
3
What is the remainder when (-106)/(-6) - 11/(-33) is divided by 5?
3
Suppose 0 = 4*w - 16, -3*w + 163 + 464 = 5*g. Calculate the remainder when g is divided by 14.
11
Let o be 1*(1 - -1) + -2. Suppose 5*n = -4*j + 15 - o, 5*j + 2*n = 40. Let i = 27 - j. What is the remainder when 50 is divided by i?
16
Suppose -4*o + 9 - 1 = 0. Suppose m - 23 = o*u, -4*m + 0*m + 32 = 4*u. What is the remainder when 50 is divided by m?
11
Suppose 0 = 2*o + 2*o - 88. Calculate the remainder when 108 is divided by o.
20
Let v(u) = u**2 - 9*u - 11. Calculate the remainder when v(11) is divided by 6.
5
Let w(c) = c**2 + 2*c + 7. Suppose 0 = -7*l + 4*l - 15. Suppose 0*u = -5*u + 210. Calculate the remainder when u is divided by w(l).
20
Suppose u - 2*u + 2*r = -222, -4*u + 4*r = -904. Suppose s = -4*s + u. Calculate the remainder when s is divided by 24.
22
Let p = 75 - 17. What is the remainder when p is divided by 30?
28
Let s(i) = 6*i - 8. Let q be s(8). Suppose -5*x = 3*d - 154, -4*x + d + q = -73. What is the remainder when x is divided by 10?
9
Let m(a) = 26*a - 1. Suppose 2*o - 282 = -4*c + 4*o, -o + 219 = 3*c. What is the remainder when c is divided by m(1)?
22
Let q(a) = a**3 + 3*a**2 + 2 - 5*a - a**2 + 0*a. Let n be q(-4). Let c(b) = b**2 + 4*b + 1. Calculate the remainder when c(n) is divided by 16.
13
Suppose -2*r - 46 = -2*k - 0*k, 4*k = 3*r + 90. Suppose 7*y - 11 = 6*y. What is the remainder when k is divided by y?
10
Suppose 4*z - 2*z - 3*j = 7, 4*j + 35 = 5*z. What is the remainder when 30 is divided by z?
8
Suppose -4*u - 2*g - 13 = -5*u, -g + 22 = u. What is the remainder when u is divided by 10?
9
Let o = -10 + 13. Suppose -s + 2*s - o = 0. Let y(d) = 4*d**2 - d. What is the remainder when y(-1) is divided by s?
2
Suppose -32*r = -30*r - 64. Calculate the remainder when 156 is divided by r.
28
Suppose -348 = 2*f + 2*f. What is the remainder when 85 is divided by f/2*10/(-15)?
27
Suppose -4*s + 112 + 0 = 0. What is the remainder when 82 is divided by s?
26
Let z(s) = s**3 + 5*s**2 - 8*s + 4. Suppose 16 + 2 = -3*l. Calculate the remainder when 29 is divided by z(l).
13
Calculate the remainder when (-1)/((2/2)/(-139)) is divided by 47.
45
Suppose -3*a + 6 = -a. Calculate the remainder when a is divided by 1 + -1 - (4 - 6).
1
Let n be 3*(4 + (-44)/12). Let y(c) = 33*c - 1. Calculate the remainder when y(n) is divided by 11.
10
Let x(y) = y + 22. Let f(m) = m**2 + 3*m - 12. Calculate the remainder when f(6) is divided by x(0).
20
Suppose 2*a = -12*a + 154. Let f = 162 + -108. Calculate the remainder when f is divided by a.
10
Let z(g) = 2*g**2 - 5*g + 4. Suppose 14 = 2*n - 42. Suppose -3*r = -5*a + 33, -4*r = -a - 3*a + n. Calculate the remainder when z(4) is divided by a.
4
What is the remainder when 14 is divided by ((-3)/5)/(2/(-10))?
2
Suppose -2*y - y + 6 = 0. Suppose -2*s + y - 14 = 0. Let g = 5 - s. Calculate the remainder when g is divided by 6.
5
Suppose 31*d - 35*d = -340. Suppose 5*f + 4*y - 130 = 0, 3*f - 5*f - y = -49. What is the remainder when d is divided by f?
19
Let i(h) = 25*h**2 - 4*h - 14. Let g(b) = -b + 24. What is the remainder when i(-2) is divided by g(0)?
22
Suppose 8 = -5*m + 73. Let l(a) = -a**3 + 2*a**2 + a + 4. Let k be l(3). What is the remainder when m is divided by -6 + 9 - k*1?
3
Let u be 2/6*(-18 + 9). Let w(l) = 2*l**2 + 5*l + 2. Calculate the remainder when 7 is divided by w(u).
2
Let t = 44 + -21. Suppose t = d - 0*d. Calculate the remainder when d is divided by 0/(-1) - 26/(-2).
10
What is the remainder when (-1 - -2)/(15/885) is divided by 31?
28
Let a(l) = l**2 - 4*l - 4. Let q be a(4). Let h(w) = w**2 + 2. What is the remainder when 53 is divided by h(q)?
17
Let t = 139 - 88. Suppose 5*v - 2*v = t. Calculate the remainder when v is divided by 5.
2
Let d = -18 + -3. Let t = 39 + d. What is the remainder when t is divided by 5?
3
Suppose 4*m - 108 = -14*m. Calculate the remainder when 31 is divided by m.
1
Suppose 5*b + 10 = 3*b, 0 = 5*d - b + 280. Calculate the remainder when 21 is divided by 2/(-5) - d/5.
10
Suppose -2*p = -3*o - 169, -4*p + 5*p = 3*o + 83. Calculate the remainder when p is divided by 18.
14
Let y = 4 + 0. Suppose -3*k = y*j - 59, 3*k - 57 = -2*j - j. Calculate the remainder when k is divided by 6.
5
Let n(x) = -x**2 + 3*x + 6. Suppose -y - 2*s + s = -7, 5*y - 53 = 4*s. Calculate the remainder when y is divided by n(3).
3
Suppose 2*x = -15 + 41. Let c(f) = f + 3. Calculate the remainder when x is divided by c(1).
1
Let o = 23 - -46. What is the remainder when o is divided by 14?
13
Suppose -s = -4*s + 144. Suppose 5*z = s + 17. Suppose -3*c + 26 = -z. What is the remainder when 38 is divided by c?
12
Suppose 4*t = -2*k - 30, 3*t + 3 = 2*k - 2. Let d = 11 + t. Calculate the remainder when 23 is divided by d.
5
Let y(b) = -b**2 + 8*b + 4. Calculate the remainder when 13 is divided by y(8).
1
Calculate the remainder when 94 + 13/3 + 12/(-9) is divided by 11.
9
Let b be (-3 + (-2 - -2))/(-1). Suppose 5 