ed by 11?
9
Let y(s) be the first derivative of s**6/72 - 2*s**3/3 + 1. Let j(f) be the third derivative of y(f). What is the remainder when j(2) is divided by 7?
6
Let k(p) = -14*p - 3. What is the remainder when k(-3) is divided by 8?
7
Let g be (-1 - -3 - -3)*-7. Let k = -21 - g. Calculate the remainder when k is divided by 8.
6
Suppose 0 = 5*f - 2*a + 34, 5*f - f = 3*a - 30. Let l be 4/3 + 2/f. Suppose 0 = 4*w - 39 - l. What is the remainder when w is divided by 6?
4
Let w(j) = -26*j**3 - 2*j + 1. Suppose 4*p + f = 5, 5 = 5*p - 4*p + 4*f. Let r be w(p). Calculate the remainder when (-1020)/r + (-4)/(-18) is divided by 13.
12
Let w = -31 - -57. What is the remainder when w is divided by 15?
11
Suppose 14*g - 284 = 10*g. What is the remainder when g is divided by 18?
17
Let j(q) = 11*q - 3. What is the remainder when 73 is divided by j(2)?
16
Suppose 0 = -5*a - 3*p + 57, 6*p - 12 = 3*p. Let q be ((-16)/40)/((-3)/15). Suppose 0 = -q*l + 33 - a. What is the remainder when 21 is divided by l?
9
Suppose -3*d - d = -192. Calculate the remainder when d is divided by 25.
23
Let o(i) = -i**2 + 11*i - 11. Calculate the remainder when 33 is divided by o(8).
7
Let p = -79 + 87. Calculate the remainder when 60 is divided by p.
4
Let s = 45 - 28. What is the remainder when 47 is divided by s?
13
Suppose v + v = -40. What is the remainder when -1*v/8*4 is divided by 4?
2
Calculate the remainder when 103 is divided by (-30)/(-6 + 5) - -5.
33
Let z = -1 - -12. Suppose 2*q + 2*q - 8 = 0. Suppose 0 = -0*t + q*t + 3*o - 40, -o = 0. Calculate the remainder when t is divided by z.
9
Suppose -4*j + 6*i = 3*i - 23, 2*j - 24 = 4*i. Let t(a) = -a**3 + 5*a**2 + a + 4. Calculate the remainder when 3 - 31/(1 - j) is divided by t(5).
7
Let q = -6 - -8. Suppose 3*r + v - 16 = 0, r - 2 = -q*v - 0. Calculate the remainder when 23 is divided by r.
5
Let u(r) = -11*r**2 - 40*r - 13. Let c(x) = -x**3 - 4*x**2 - 3*x + 3. Calculate the remainder when u(-3) is divided by c(-3).
2
Let h(x) = 4*x**2 + 5*x - 1. Let g be h(4). Let c = g + -34. Calculate the remainder when c is divided by 17.
15
Let j(f) = -f**2 + 10*f - 2. Let r be j(4). Suppose -3*c + c - r = -4*l, l = -2*c + 13. Let n = l - -1. What is the remainder when 22 is divided by n?
6
Let h(g) = g**2 - 5*g + 9. Calculate the remainder when h(6) is divided by 9.
6
Let f = -1 + 1. Let t = f - -1. Let c(d) = d + 7. What is the remainder when t is divided by c(-6)?
0
Let o = 53 + -44. What is the remainder when 42 is divided by o?
6
Let l(i) = -21*i + 7*i + 12*i - 2*i**2 - 5 + 3*i**2. What is the remainder when l(-8) is divided by 19?
18
Let y(c) = -c**3 + 4*c**2 + 3*c - 4. Let v be y(5). Let b = v + 23. Calculate the remainder when 25 is divided by b.
7
Suppose 0 = -2*a - 6*a + 104. Let v = 1 + -3. Calculate the remainder when ((-4)/1 - v) + 27 is divided by a.
12
Suppose -18 = -10*c + 4*c. What is the remainder when 16 is divided by c?
1
Let u(y) = y**3 + 5*y**2 + 2*y - 2. Let o = 22 - 0. Calculate the remainder when o is divided by u(-4).
4
Let m(v) = 8*v - 4. Let o(b) = -1. Let l(j) = j - 4. Let y(a) = -l(a) + 4*o(a). Let p(u) = m(u) + 3*y(u). Calculate the remainder when p(7) is divided by 8.
7
Suppose -4*u - d + 334 = 2*d, 3*d - 252 = -3*u. Suppose -4*l + u = -54. Suppose -2*y - 12 = -30. Calculate the remainder when l is divided by y.
7
Let m(n) = -4 + 3 + n - 2*n. Let u be m(-8). Suppose 0*k - u = -k. What is the remainder when 19 is divided by k?
5
Calculate the remainder when (-46)/(-8) + (-15)/20 is divided by 2.
1
Suppose -4*p = 3*l + 9, -5*p + 6 = -4*l - 6. Let x = -12 - -21. Let q = x + l. What is the remainder when q is divided by 4?
2
Let g = 6 + -2. Let s(x) = -11*x - 8. Let n be s(-1). Suppose n*f + 43 = g*f. Calculate the remainder when f is divided by 22.
21
Suppose -4*y + 2*o + 60 = -16, 0 = -o - 2. Suppose 2*s + 0*s - 2 = 0. Calculate the remainder when s - 68/(-2)*1 is divided by y.
17
Suppose -q + 132 = 5*x - 0*x, 0 = 4*q + 4*x - 512. Suppose -5*z + 198 = -q. Let r(s) = s**2 - s - 3. What is the remainder when z is divided by r(-4)?
14
Suppose -u = -0*u - 4*p, -3*u = 3*p + 60. Let d = 25 + u. What is the remainder when 25 is divided by d?
7
Suppose 3*c - 5 = 5*t - 4*t, -4*c + 12 = 4*t. Suppose -o - 2 = -12. Let z = -5 + o. Calculate the remainder when z is divided by c.
1
Let l(c) = 21*c**2 + c. Let h = -2 + 3. What is the remainder when 43 is divided by l(h)?
21
Let l = -8 + 19. Let m = -2 - -2. What is the remainder when (m + -1)/(1/(-20)) is divided by l?
9
Let x(k) = 11*k**2 + 2*k + 2. What is the remainder when 86 is divided by x(-1)?
9
Let h = -4 - -6. Suppose h*w - 23 = 7. What is the remainder when w is divided by 8?
7
Suppose 0 = 5*j - 4*j - 2, j = 2*x + 2. Let q(l) = -l + 35. Calculate the remainder when q(x) is divided by 18.
17
Let d = 45 - 36. What is the remainder when 52 is divided by d?
7
Let v = -13 - -23. Suppose 0 = 3*b - b - 204. Let x = -73 + b. What is the remainder when x is divided by v?
9
Suppose t + 54 = v, -v = 3*v. What is the remainder when -5 - -2 - (t - 2) is divided by 18?
17
Suppose 0 = t - 5*t + 68. Let i be t - (-2)/(-1 - 0). Let d = i - 6. What is the remainder when 26 is divided by d?
8
Suppose 4*m = -x + 5 + 6, -2*x + 3*m + 33 = 0. Calculate the remainder when 42 is divided by x.
12
Let r(y) = -y**2 - y + 6. Let j be r(3). Let h(d) = d**3 + 4*d**2 - d - 1. Let l be h(-4). What is the remainder when 35 is divided by (j/(-5))/(l/30)?
11
What is the remainder when 19 is divided by -5*(4 + 20/(-4))?
4
Let x = -35 - -50. Let s = x - -1. What is the remainder when 30 is divided by s?
14
What is the remainder when 100/(-15)*9/(-6) is divided by 6?
4
Let b(n) = 9*n**2 - 6*n + 3. Calculate the remainder when b(3) is divided by 18.
12
Suppose 7*b - 2380 = -3*b. Calculate the remainder when b is divided by 40.
38
Suppose 87 = 5*w + 17. What is the remainder when 53 is divided by w?
11
Let k be (3/2)/((-12)/(-400)). Suppose 5*u - k = -0*u. Calculate the remainder when 29 is divided by u.
9
Let l be ((-3)/2 - -2)*304. Suppose l = 5*y - 63. Suppose -y - 102 = -5*p. What is the remainder when p is divided by 15?
14
Let t(k) = k**3 + 3*k**2 + k - 2. Let n be t(-2). Calculate the remainder when 30 is divided by -2 + n + (10 - 0).
6
Suppose -l = -0*l - 7. What is the remainder when 32 is divided by l?
4
Let n be 2/(-7) - (-48)/21. Suppose 0*g + n = g. Suppose -g*a = s - 6, a - 25 = -5*s - 4*a. Calculate the remainder when 10 is divided by s.
2
Suppose -4*o = 2*a - 66, -30 = -2*o + o + 4*a. Suppose o = 4*q - 50. Let g = -37 - -70. Calculate the remainder when g is divided by q.
16
Let h = -54 - -84. What is the remainder when h is divided by 12?
6
Let r = -41 + 279. What is the remainder when r is divided by 40?
38
Suppose 0 = -3*s + 2*s + l + 12, 2*s = -4*l + 24. Suppose m = -s + 24. What is the remainder when m is divided by 7?
5
Suppose -6*k = -3*k - 183. Calculate the remainder when k is divided by 13.
9
Suppose -4*j + 35 + 21 = 0. Let r = j - 7. Calculate the remainder when 12 is divided by r.
5
Let j = -94 + 273. What is the remainder when j is divided by 36?
35
What is the remainder when (-10)/5 + (60 - 2) is divided by 15?
11
Let n = 36 - -15. Let k = -2 + n. What is the remainder when k is divided by 25?
24
Let q(j) = 5*j**2 - 3*j. Suppose -3*n + 4*i = -14 + 4, -n - i + 1 = 0. Let d(o) = -26*o. Calculate the remainder when d(-1) is divided by q(n).
12
Suppose -5*w = -26 - 4. Suppose -5*y + 16 + 39 = -5*p, 2*y + 4*p = 52. Calculate the remainder when y is divided by w.
4
What is the remainder when -4 + (4 - (-56)/4) is divided by 8?
6
Let r(k) be the third derivative of 9*k**5/10 - k**4/12 - k**3/6 - 3*k**2. What is the remainder when r(-1) is divided by 28?
27
Let v = 10 + -4. Suppose 4*m - 46 = 2*m. Calculate the remainder when m is divided by v.
5
Calculate the remainder when (0 - (0 - -2) - 1) + 43 is divided by 11.
7
What is the remainder when 23 is divided by (1 - 2)*-9*1?
5
Let y(p) be the first derivative of 2 + 3*p - 9/2*p**2 - 1/4*p**4 - 3*p**3. What is the remainder when 20 is divided by y(-8)?
9
Let a = 3 - 7. Let m be 6 + (a + -2)/3. What is the remainder when (-1 + -18)*(m - 5) is divided by 7?
5
Suppose -5*n = -10, -2*x + x - 2*n + 15 = 0. Suppose 0 = -13*l