alculate the remainder when o(-6) is divided by 8.
0
Let o(x) be the first derivative of -x**3/3 + 13*x**2/2 + 8*x + 3. What is the remainder when o(10) is divided by 13?
12
Suppose 0*w - 6*w = -606. What is the remainder when w is divided by 26?
23
Calculate the remainder when 57 is divided by ((-4)/(-10))/((-7)/(-210)).
9
Suppose o - 1 - 16 = 0. What is the remainder when (-3)/(-6)*1*134 is divided by o?
16
Suppose -4*g + 164 = 4*c, -168 = -4*c + 4*g - 6*g. Let m = 10 + 1. Calculate the remainder when c is divided by m.
10
Calculate the remainder when 67 is divided by (3/2)/((-3)/(-2)) + 9.
7
Let p(o) = -14*o**3 - o**2 + o - 2. Let j be p(-2). Calculate the remainder when ((-10)/20)/((-2)/j) is divided by 14.
12
Let l(c) = -c**3 + c**2 - c. Let r(y) = 4*y**3 + 2*y**2 + 5*y - 7. Let d(a) = -5*l(a) - r(a). Calculate the remainder when d(7) is divided by 3.
1
Let h(a) = 2*a**2 - 7*a - 3. What is the remainder when 33 is divided by h(5)?
9
Calculate the remainder when -2 + (3 + -2)/1 + 62 is divided by 32.
29
Let w(d) = d**3 - 2*d - 3*d**3 - 2 - 6*d**2 + d**3. Let x = 18 - 12. Calculate the remainder when w(-6) is divided by x.
4
Suppose 6 = s - 4*p, 4*p = 5*s + 2*p - 84. Suppose 4*l - 3*l - s = 0. What is the remainder when 53 is divided by l?
17
Let h = 45 + -21. Calculate the remainder when 43 is divided by h.
19
Let z be (8/(-12))/((-6)/45). Let v be (-1 - 0)*1*-4. Suppose z*l - 41 = v*l. What is the remainder when l is divided by 14?
13
Let a = -35 + 21. Calculate the remainder when 19 is divided by 94/14 - 4/a.
5
Let v = 49 - 33. Let i be 6/(-15) - (-96)/15. Suppose 3*x + 6 = -t - x, 2*t + 2*x = i. What is the remainder when v is divided by t?
4
Suppose -2*l + 3 = -5*o - 92, -5*l + 248 = -2*o. What is the remainder when l is divided by 13?
11
Let j(x) be the third derivative of 1/30*x**5 + 0*x - 2*x**2 + 1/8*x**4 + 0 + 1/2*x**3 - 1/120*x**6. Calculate the remainder when 8 is divided by j(3).
2
Let q = 17 - 11. What is the remainder when 9 is divided by q?
3
Suppose 0 = 4*t + 16 + 32. Let h be (t/(-10))/(7/(-210)). Let v = 52 + h. Calculate the remainder when v is divided by 9.
7
Calculate the remainder when 22 is divided by (-4)/26 - ((-402)/(-26))/(-3).
2
Suppose 3*d = 22 + 14. Let i = 64 + -28. What is the remainder when 1216/i - 2/(-9) is divided by d?
10
Suppose l - 2*p = -10, -8*l = -3*l + 3*p - 15. Suppose 3*z = -l*z + 129. Calculate the remainder when z is divided by 15.
13
Suppose 5*p - 34 = 3*z, 2*p - 4*z = 7*p - 13. Let h(o) = -o**2 - o + 23. What is the remainder when h(0) is divided by p?
3
Suppose -4*d = 283 + 165. Let l = d + 159. Suppose 17 + l = 4*a. Calculate the remainder when 46 is divided by a.
14
Let i = 38 - 16. Calculate the remainder when i is divided by (27/12*-1)/(3/(-16)).
10
What is the remainder when ((-4)/6)/(13/(-273)) is divided by 5?
4
Suppose 0 = -232*h + 237*h - 280. Calculate the remainder when h is divided by 15.
11
Suppose -14*i = -19*i + 55. Calculate the remainder when 30 is divided by i.
8
Suppose -d + 6*d + 10 = 0. Let b be (-252)/(-5) + d/5. Suppose 2*a = i - 0*i + 26, i = 4*a - b. Calculate the remainder when 34 is divided by a.
10
Suppose 0 = -4*i - a + 1490 - 454, -2*i + 504 = -3*a. What is the remainder when i is divided by 29?
26
Let f = 133 - 55. Suppose -161*w = -158*w - 60. Calculate the remainder when f is divided by w.
18
Let v(g) = -g**3 + 6*g**2 - g + 8. Let l be v(6). Suppose -l*t = -4 + 10. Let y = 10 + t. Calculate the remainder when y is divided by 4.
3
Let d = 160 - 123. Let w = -2 + 14. Suppose -3*k + 18 = -w. Calculate the remainder when d is divided by k.
7
Let p = -13 - -16. Suppose -93 = -5*y - 3*c, -p*y - 32 = -5*y + 4*c. What is the remainder when 5/3*(1 - -20) is divided by y?
17
Suppose -3*u = -4*u + 62. Let b = u + -41. What is the remainder when 83 is divided by b?
20
Suppose -m - 3*a = 47 - 51, -13 = -2*m - a. Let g be (0 - (0 - 1)) + 1. Let u(o) = 4*o**2 - o - 1. What is the remainder when u(g) is divided by m?
6
What is the remainder when 101 is divided by (-2 - -9)/((-1)/9*-3)?
17
Suppose 4*c - v = 3*v - 20, 0 = -3*c + 4*v - 17. Let r be 1/((c/3)/1). Let d = r - -6. What is the remainder when 8 is divided by d?
3
Let r = 12 - 9. Suppose -r*w - 2 = -4*w. Let y(f) = -f**3 - 3*f**2 - f + 2. Calculate the remainder when y(-3) is divided by w.
1
Let m be 2 - (-40)/4 - -1. Let v = m + 4. Suppose -5*o + 385 = 140. Calculate the remainder when o is divided by v.
15
Suppose -2*g + 8 = -0*g. Calculate the remainder when 2/(-2)*(-9 - 0) is divided by g.
1
What is the remainder when -201*(8/6)/(-4) is divided by 23?
21
Let p(k) = -13*k - 15. Calculate the remainder when 332 is divided by p(-4).
36
Suppose -2*d - d = -144. Suppose -2*k + d = 2*k. What is the remainder when 3*1/((-9)/(-102)) is divided by k?
10
Let c(m) = -2*m**3 + 3*m + 3. Let y be c(-3). Suppose -l - y = -5*l. Suppose p - 2*t = 28, t = 2*p + l - 83. What is the remainder when p is divided by 20?
18
Let s(w) = -8 + 2 + 0*w + w. Let j be s(10). Suppose 3*l - j*l = -11. What is the remainder when l is divided by 6?
5
What is the remainder when 176 is divided by (24/(-10))/((-2)/25)?
26
Suppose -5*g - 5 = -3*c + 18, 4*g = -3*c - 13. Let w(x) = 2 + x**3 - c - 3*x**2 - 3*x**2 + 3*x. What is the remainder when 56 is divided by w(6)?
18
Suppose -4*a + 253 - 21 = 3*n, -290 = -5*a - 5*n. Calculate the remainder when a is divided by 20.
18
Let w = -268 + 382. Let j = w - 39. Calculate the remainder when j is divided by 19.
18
Let d(z) = z**3 - 3*z**2 + 2*z - 6. Suppose 16 = 4*w - w - 4*j, 3*w = 3*j + 12. Suppose w = 5*h - 5 - 15. What is the remainder when d(h) is divided by 10?
8
Let y(o) = o**3 - o**2 + 7*o - 1. Calculate the remainder when 149 is divided by y(3).
35
Let a = 4 - 1. Suppose -a*g = -b - 32, 3*g - 4*b = 6*g - 37. What is the remainder when g is divided by ((-12)/8)/((-1)/(-1 - -5))?
5
Suppose -5*j + 382 = -4*b, 3 = b - 2*b. Let a(z) = 2*z**3 + z**2 - 4*z + 3. What is the remainder when j is divided by a(2)?
14
Let n(a) = -5*a**2 + 2*a**3 + 2*a**2 + 0*a**3. Suppose -3*f = l + 1, 2*l - f + 5*f = 6. Calculate the remainder when l is divided by n(2).
3
Let q(y) = y**2 + 4*y + 2. Let m = -307 - -312. Calculate the remainder when q(-5) is divided by m.
2
Let r(v) = -v**2 - 5*v + 1. Calculate the remainder when 17 is divided by r(-4).
2
What is the remainder when (3/(-6))/(3/(-102)) is divided by 6?
5
Let b(w) = 3*w**2 + 2*w + 2. Let q = 23 + 16. What is the remainder when q is divided by b(-2)?
9
Suppose 0 = 4*t - 16, 24 = 2*z - 4*t + 2*t. Let c(k) = -46*k**3 + k**2 - 1. What is the remainder when c(-1) is divided by z?
14
Suppose 4*a = -a - 3*n + 236, 5*n - 240 = -5*a. What is the remainder when a is divided by 12?
10
Let n(t) = 5*t + 0*t - 2 + 4*t + 4*t. Suppose -37 = -3*a + 2. Calculate the remainder when n(3) is divided by a.
11
Let i(u) = 5*u**2 + 9*u - 3*u**2 - u - u**2. Let z be i(-8). What is the remainder when 18 is divided by z + (5 - 1) - -1?
3
Let l = -5 + 8. Suppose 5*z - 63 = -t, z - 3*z - l*t + 33 = 0. Suppose 3*h - 2*h - z = 0. What is the remainder when 34 is divided by h?
10
Suppose 0*c = -3*c + 189. Calculate the remainder when c is divided by 22.
19
Suppose 2*f - 4*f = 4*g - 24, -3*g - 5*f + 18 = 0. Suppose 0 = -r + 3 - 1. Suppose r*o + 148 = g*o. Calculate the remainder when o is divided by 13.
11
Let y(i) be the second derivative of i**3/2 + 3*i. Calculate the remainder when y(7) is divided by 8.
5
Let f = 8 - 5. Suppose -2*r + 2*u + 62 = 0, f*u - 7*u = 12. Calculate the remainder when r is divided by 10.
8
Let r(h) = h**3 + h**2 - 3*h + 1. What is the remainder when r(2) is divided by 3*6/27*6?
3
Let n(u) = 2*u - 6. What is the remainder when 29 is divided by n(11)?
13
Suppose 0 = -2*h + 2, -4*s + h + 3 = 0. Let a(z) = 33*z + 1. What is the remainder when a(s) is divided by 9?
7
Suppose 4*f - 9 = -2*n + 85, -4*f + 51 = n. Calculate the remainder when n is divided by 12.
7
What is the remainder when 59 is divided by (7/2)/(1/6)?
17
Let z(t) = 2*t + 22. Calculate the remainder when z(0) is divided by 12.
10
Let g(q) = -q**3 - 2*q**2 + 2*q + 7. What is the remainder when 17 is divided by g(-3)?
7
Let p(n) = 1 + 5*n - 6 + 1 - 42*n**2. Let b(a) = a**2 + a - 1. Let f(y) = 3*b(y) - p(y). Wha