he remainder when f(-2) is divided by 6.
5
Let q(o) = -o**3 - 3*o**2 + 3*o - 1. Let f be q(2). Suppose 0*v - v = -21. Let b = f + v. What is the remainder when 11 is divided by b?
5
Suppose p - 32 = -3*t, 0 = 3*t - 8 + 5. Let c = 5 + -2. Suppose 60 = 5*w + 5*m, -c*w + 2*m + 3*m + 68 = 0. What is the remainder when p is divided by w?
13
Let o(k) be the second derivative of -5*k**3/3 + k**2 + 2*k. Let b be o(-3). Suppose 0*t = 4*t - b. Calculate the remainder when t is divided by 5.
3
Suppose -2*h = 2*z - 6*h + 4, 0 = 2*z + 3*h - 24. Suppose 0 = 5*i + 20, -z = -0*c - 2*c - 2*i. What is the remainder when c is divided by 2?
1
Calculate the remainder when 70 is divided by 18/1*1/1.
16
Suppose -4*f = -2*j - 50, -5*j + 61 = 3*f + 4. Calculate the remainder when 52 is divided by f.
10
Suppose -a - 4*a = -60. Suppose -z = -3*z + a. What is the remainder when z is divided by 4?
2
Suppose 376 = 11*s - 7*s. Calculate the remainder when s is divided by 24.
22
Let u = -22 - -10. Let v = 19 + -8. Calculate the remainder when v is divided by 1*(-1)/2*u.
5
Let g = -11 - -15. Suppose 0 = -2*d - g*m + 150, 2*d + m - 135 = -0*m. Calculate the remainder when d is divided by 17.
14
Suppose -2*l = 2*q - l - 71, -174 = -5*q + l. Calculate the remainder when q is divided by 6.
5
Let p(i) = -i**3 - 3*i + 3. Let b be p(2). Let q = -6 - b. Suppose -f + y = 4*y + q, 0 = 4*f + 4*y - 20. Calculate the remainder when 37 is divided by f.
7
Let d(w) = -w**3 + 9*w**2 + w - 5. What is the remainder when 9 is divided by d(9)?
1
Let g(w) = 59*w**2 - 2*w + 1. Suppose 0 = 4*f - 3*z + 11, 5*z - 26 = 3*f - 4*f. Calculate the remainder when g(f) is divided by 30.
28
Let o(t) = 16*t - 74. What is the remainder when 130 is divided by o(6)?
20
Let w be 9 + (-1)/1*3. Suppose -3*l + w = -15. What is the remainder when 13 is divided by l?
6
Suppose -x + 43 = 4*r - 3*r, -x + 2*r + 55 = 0. What is the remainder when x is divided by 16?
15
Let d = -12 + 22. Let x = -36 - -63. Calculate the remainder when x is divided by d.
7
Let a be (69/6)/(2/4). Let z = a - 13. Calculate the remainder when 105/6 - 3/(-2) is divided by z.
9
Let v(a) = 2*a**2 - 7*a + 5. Calculate the remainder when 54 is divided by v(5).
14
Suppose 20 = -5*p - 40. Let d be 21/(-12) - (-3)/p. Calculate the remainder when 16 is divided by 4 + d - -1 - -3.
4
Suppose -4*m + 24 = -m. Suppose 3*h = 4*n + m, -n - 2 = -h + 2. Let b = 5 + 0. What is the remainder when h is divided by b?
3
Suppose 4*h + 21 = a, -4*a + 3*h + 20 + 12 = 0. Suppose -b + a = 0, -5*b = 2*t - 85 + 8. Calculate the remainder when t is divided by 14.
12
Let k = 24 + -14. Suppose 3*d + 5*b = 8, 5*b = -0*d - 2*d + 2. What is the remainder when (-9)/d*152/(-6) is divided by k?
8
Let c(d) = -d + 3. Let i be c(4). Let z(v) = v**2 - 2*v - 1. Let k be z(i). Calculate the remainder when (k/3)/(6/27) is divided by 1.
0
Let c be (5 - -1)/((-6)/(-75)). Let j = c + -28. What is the remainder when j is divided by 24/((2*18/8)/3)?
15
Let c be ((-1)/(-2))/((-4)/(-64)). Let m(h) = 6*h**2 - 2. Let u be m(2). Let w = u - c. Calculate the remainder when 41 is divided by w.
13
Let l(p) = -p**2 - 6*p - 3. Suppose 6*i - 70 = i. What is the remainder when i is divided by l(-4)?
4
Suppose 18 = v + v. What is the remainder when 34 is divided by v?
7
Let j(d) = 2*d**2 + 6*d + 3. What is the remainder when j(-4) is divided by 3?
2
Let q(v) be the third derivative of -v**6/120 + v**5/12 + v**3/3 + 2*v**2. Calculate the remainder when q(3) is divided by 2/1*7/2.
6
Let a(l) = 37*l**2 - l. What is the remainder when a(-1) is divided by 82/6 - 6/9?
12
Let x = 44 - -11. Let m = 23 - 12. Suppose -4*n + 67 - m = 0. What is the remainder when x is divided by n?
13
Suppose 111 = 3*c - 63. Calculate the remainder when c is divided by 17.
7
Suppose 16*v = 19*v - 42. Suppose 2*t - 21 = -5*i + 20, t - 27 = 4*i. Let n = t - v. What is the remainder when 16 is divided by n?
7
Let r(j) = -j**2 - 2*j + 17. What is the remainder when r(-5) is divided by 2?
0
Let l(m) = 3*m**2 - 3*m + 2. Suppose 3*y + 96 = 4*n, -2*y = -4*n + 87 + 5. What is the remainder when n is divided by l(2)?
5
Let s = -14 - -22. Calculate the remainder when 30 is divided by s.
6
Let s(h) be the third derivative of h**6/120 - h**5/10 + h**4/8 - h**3 + h**2. Let l = -33 - -55. Calculate the remainder when l is divided by s(6).
10
Let x = 27 - 19. Calculate the remainder when x is divided by 2.
0
Suppose 4*u + 1 = j + 8, -3*u = -4*j + 24. Calculate the remainder when (-2 - (-18 + -1))*1 is divided by j.
8
Let m(v) = v**2 - 6*v. Let x be m(4). Let n(s) = -15 + 22 - 3*s**2 - 10*s - 15 + 2*s**2. Calculate the remainder when 22 is divided by n(x).
6
Let i(o) = o**2 - 14*o + 10. Let p(h) = 2*h**2 - 27*h + 19. Let n(q) = 5*i(q) - 3*p(q). What is the remainder when 21 is divided by n(9)?
10
Suppose 14 = -d + 3*d. Suppose -4*m + d*m - 123 = 0. Calculate the remainder when m is divided by 11.
8
Suppose 0 = 5*y - 192 + 27. Let x be 1/4 - 470/(-8). Suppose 5*i - 71 = -3*f, 3*i - i - x = -3*f. Calculate the remainder when y is divided by f.
16
Let q(n) = n - 9. Let d be q(4). Let o(h) be the third derivative of -h**6/120 - h**5/15 - h**3/3 + 2*h**2. What is the remainder when o(d) is divided by 12?
11
Let m = 13 - 1. What is the remainder when 21 is divided by m?
9
Let p = -7 + 6. Let v(z) = 26*z**2 + 1. Calculate the remainder when v(p) is divided by 14.
13
Let l(y) = y**3 + 3 + 6*y**2 + 2 + y**2 - 3*y. Suppose 4*f + 18 + 10 = 0. Calculate the remainder when l(f) is divided by 9.
8
Suppose -9 - 3 = -3*y. Suppose -3*m - 4 = -y*z, 4*m = z + 10 + 2. Suppose 5*o + q = m*o + 10, -2*o - q = -17. What is the remainder when o is divided by 3?
1
Suppose 3*k - 234 + 14 = j, -3*k = 4*j - 230. What is the remainder when k is divided by 15?
14
Suppose 0 = -2*p + 9 + 3. Suppose 5*l + 35 = n + 4*n, 2*n + 5*l - 42 = 0. Calculate the remainder when n is divided by p.
5
Suppose -5*t + 13 = -2. Let s = t - -6. Calculate the remainder when 33 is divided by s.
6
Suppose 0 = 5*d - 10*d + 80. Calculate the remainder when 29 is divided by d.
13
Let y(n) = n + 17. Let b = -15 + 5. Calculate the remainder when y(b) is divided by 3.
1
Let c = 0 + 4. Let x(y) = 5*y - 8*y + 2 - 3*y**2 + 5*y**2. Calculate the remainder when x(c) is divided by 12.
10
Suppose f - 2*c = -f + 18, -4*c = 0. Calculate the remainder when 26 is divided by f.
8
Let n = 4 + 10. Calculate the remainder when n is divided by 5.
4
Let w(t) = t**3 + 5*t**2 - 2*t - 6. Suppose 4*n + 10 + 6 = 0. Let d(f) = 2*f**2 + 2*f - 2. Calculate the remainder when w(n) is divided by d(-3).
8
Calculate the remainder when (136/5)/((162/45)/9) is divided by 23.
22
Let s = -2 + 30. Calculate the remainder when 85 is divided by s.
1
Suppose 0 = 7*w - 80 - 39. What is the remainder when 99 is divided by w?
14
Let j be ((-2)/4)/((-4)/32). Suppose -4*a = 4*x - 12, 3 = 2*x + 2*x - 5*a. Suppose -6 = -j*i - x. Calculate the remainder when i is divided by 1.
0
Let m(i) = 12*i**2 - i - 4. Calculate the remainder when m(3) is divided by 34.
33
Suppose 2*b + b = 4*c + 39, 79 = 5*b - 2*c. Calculate the remainder when 47 is divided by b.
13
Suppose 2*k + 2*s - 4 = 14, -2*k + 12 = -4*s. Let c(r) = r**2 - 17*r - 15. Calculate the remainder when k is divided by c(18).
2
Let t(g) = -3*g + 0 + 0 + 1. Let l = -3 + 1. Calculate the remainder when 19 is divided by t(l).
5
Suppose 20*j - 340 = 3*j. Calculate the remainder when 119 is divided by j.
19
Let x(r) = -3*r + 1. What is the remainder when x(-2) is divided by 3/(-6) - (-14)/4?
1
Let m(g) = 34*g - 1. Let k be m(-3). Let v = -46 - k. What is the remainder when v is divided by 20?
17
Calculate the remainder when 4 is divided by (-6)/(-5) + (-1)/5.
0
Let d(x) = -x**3 + 16*x**2 - 13*x + 12. Calculate the remainder when d(15) is divided by 24.
18
Let n(q) = q. Let a be n(5). Suppose -20 = -3*x - a*c, 4*x - 2*c - 17 = 27. What is the remainder when 19 is divided by x?
9
Let z be (-3)/(-4)*(34 + 6). Suppose -5*s + 10*s = z. Calculate the remainder when 22 is divided by s.
4
Let p(a) be the first derivative of a**4/4 + a**3 - 2*a**2 + 4*a + 2. What is the remainder when 10 is divided by p(-4)?
2
Suppose 47 = -f - 2*y - 12, 0 = -3*f + 2*y - 209. Let u = -18 - f. What is the remainder when u is div