et n(q) be the second derivative of q**4/12 - q**3/2 + 5*q**2/2 + 2*q. What is the remainder when 89 is divided by n(6)?
20
Let t be (-317 + 3)*(1 - 0). Let b be t/(-10) + 8/(-20). Suppose -4*c = -3*u + 59, -2*u + b + 5 = -2*c. What is the remainder when 37 is divided by u?
11
Suppose 0 = d + 2*t - 117, -2*d - 5*t - 44 = -278. Calculate the remainder when d is divided by 24.
21
Let x(n) = -n**3 + 5*n**2 - 3*n + 3. Let s be x(5). Let a(d) = d + 16. What is the remainder when 7 is divided by a(s)?
3
Let o(d) = 26*d + 3. Let y be 1/(-4) + (-39)/(-12). Let u be o(y). Suppose 30 - u = -3*b. What is the remainder when b is divided by 9?
8
Suppose -9*r + 27 = -0*r. Calculate the remainder when 68 is divided by r.
2
Let c = 26 - -1. Calculate the remainder when c is divided by 15.
12
Calculate the remainder when 4 - (4 + 1 + -4) is divided by 1.
0
Let s(u) = u**3 - u**2 + 9. Calculate the remainder when s(4) is divided by 12.
9
Let u(z) = -z**2 - 9*z + 1. Let o(s) = -2*s**2 + s - 1. Let p be o(2). What is the remainder when 57 is divided by u(p)?
12
Let g = -109 - -116. Calculate the remainder when (0 - -1)/(2/22) is divided by g.
4
Let m be (6/9)/(2/21). Suppose 4*o = -m + 3. Calculate the remainder when 6 is divided by 4 + 0/(o + 4).
2
Let y = -23 + 35. Let s be 0 + 4 + -1 + 2. Suppose -3*o + s*r + 122 = r, 4*o - r = 141. Calculate the remainder when o is divided by y.
10
Suppose 50 = 5*d - 5. Calculate the remainder when d is divided by 6.
5
Let m(r) = -4*r + 3. Suppose -5*o = -12 + 2. Let k be m(o). Let d(z) = z**3 + 4*z**2 - 5*z + 4. What is the remainder when 11 is divided by d(k)?
3
Let q(d) = -d**2 - 16*d - 25. Calculate the remainder when 59 is divided by q(-5).
29
Let v = -8 - -16. What is the remainder when (-3)/5 - 4/(-20)*148 is divided by v?
5
Let f be ((-1)/1)/1 - -2. Let c be f/(-1 - 6/(-4)). Suppose -c*z - z = 3*w - 60, -5*z - 38 = -w. Calculate the remainder when w is divided by 8.
7
Let w be ((-28)/21)/((-1)/3). Suppose -w = -2*b + 10. Calculate the remainder when b is divided by 3.
1
Let o = -74 + 105. Suppose -o = -4*d + 1. What is the remainder when d is divided by 3?
2
What is the remainder when 95 is divided by (-23 + 31)/((-2)/(-4))?
15
Let z(s) = -4*s + 4. Let o(y) = 2*y + 1. Let l be o(-2). What is the remainder when z(l) is divided by 6/3 + -3 + 7?
4
Suppose 2*k = k + 7. Calculate the remainder when 9 is divided by k.
2
Let d(r) = -3*r + 5. Let v(a) = -4*a + 6. Let o(b) = -3*d(b) + 2*v(b). Let m be o(3). Suppose m*x = -3*x + 21. Calculate the remainder when 19 is divided by x.
5
What is the remainder when 65 is divided by 2/(-4)*(-9 - 35)?
21
Let p(u) = 30*u**2. Suppose 14*w + 1 = 13*w. Calculate the remainder when p(w) is divided by 8.
6
Suppose 2*t - 2*g - 2*g - 42 = 0, 3*g - 62 = -4*t. Suppose 8*p = 2*p + 36. What is the remainder when t is divided by p?
5
Calculate the remainder when 18 is divided by (-69)/(-9) - (-6)/(-9).
4
Suppose 2*d = -3*u - d + 3, -16 = -2*u + 5*d. Let x = 5 - u. Suppose -2*s + 52 = x*s. Calculate the remainder when 38 is divided by s.
12
Suppose -16 = 4*b - 0*b. Let f = 0 - b. What is the remainder when 7 is divided by f?
3
Suppose 3*q - 50 = q. Suppose 11 = 4*o - q. Calculate the remainder when 34 is divided by o.
7
Let i be 2/4*-1*-94. Suppose 0 = -z - 2*n + i, -2*z + 88 = 4*n - 2*n. Calculate the remainder when z is divided by 14.
13
Let o(m) be the third derivative of m**6/120 - m**5/60 + m**4/12 + m**3/6 + 7*m**2. What is the remainder when 48 is divided by o(3)?
23
Let k(c) = 3*c - 17. Calculate the remainder when k(17) is divided by 12.
10
Calculate the remainder when 57 is divided by 4/26 + 375/13.
28
Suppose -7*i + 2*i + 105 = 0. Suppose -2*w + 123 = 1. Calculate the remainder when w is divided by i.
19
Let w = 29 + -19. What is the remainder when 19 is divided by w?
9
Suppose -x - 7 = -4*a, -3*a + 0*a = -4*x + 37. Calculate the remainder when 62 is divided by x.
10
Let x be (3 + 0)*(-8)/(-6). Suppose -v - 3*v = 0. Suppose v = -x*z + 26 + 26. Calculate the remainder when 37 is divided by z.
11
Let i(k) = 3*k**2 - k + 4. Suppose 3*f = 6*f - 168. Suppose 2*c = -2*c + 5*o + f, 0 = -5*c - 2*o + 37. Calculate the remainder when i(-3) is divided by c.
7
Let f(z) = 10*z - 4. Let c be f(4). Let j = c - 18. What is the remainder when j is divided by 10?
8
Suppose 0 = -r + 3*n + 8 + 18, -3*n + 29 = 4*r. Calculate the remainder when ((-1)/(-3))/(1/57) is divided by r.
8
Suppose 0*w + w = 0. Let s(c) = -c + 29. Suppose -11*q - 30 = -14*q. What is the remainder when s(w) is divided by q?
9
What is the remainder when 4*1/((-2)/(-9)) is divided by 5?
3
What is the remainder when 15 is divided by 24/156 - (-50)/13?
3
Suppose 3*s + 4*f = 91, 0 = 2*s + 3*s + 3*f - 137. What is the remainder when s is divided by 9?
7
Let j(n) = 10*n**2 - n - 6. Calculate the remainder when j(2) is divided by 9.
5
Let b be 0 - (-2 + -3 + 17). Let v = b + 35. Calculate the remainder when v is divided by 6.
5
Let u(t) = -t**2 - 17*t + 28. Calculate the remainder when u(-15) is divided by 20.
18
Let p = 16 + -5. Suppose 2*x + 5*w = 97, w = -4*x - x + 208. What is the remainder when x is divided by p?
8
Let l(j) = -j + 9. Let u(y) be the second derivative of -y**2/2 - 2*y. Let a(b) = -l(b) - 6*u(b). What is the remainder when a(7) is divided by 2?
0
Suppose 4*z + 2 = -6. Suppose -2*t = -42 - 16. Calculate the remainder when t is divided by -2 + ((-48)/z)/2.
9
Let a = -122 + 219. What is the remainder when a is divided by 10?
7
Let y = 19 + -8. What is the remainder when 53 is divided by y?
9
Let v = -11 + 15. Let l = 12 - -16. Let o = l - v. What is the remainder when o is divided by 13?
11
Let j = -6 + 8. What is the remainder when ((-20)/(-15))/(2/9) is divided by j?
0
Suppose 8*h = 23*h - 480. Calculate the remainder when 79 is divided by h.
15
Let w be 2/(2 + 0) - -7. Suppose 0 = g + 3*l + 6, -2*g = 4*l + w - 0. Calculate the remainder when g/3 - 0 - -7 is divided by 4.
3
Let r(j) be the third derivative of -j**5/60 + 29*j**3/6 + 2*j**2. Suppose -11 = 3*v - 41. Calculate the remainder when r(0) is divided by v.
9
Let j(o) = o**3 + 6*o**2 + 3*o - 5. Let v be j(-5). Let m = v + -2. Calculate the remainder when 10 is divided by m.
1
Suppose -13 = -0*b - b. Suppose 15 = -4*d + 55. Let a = d + b. Calculate the remainder when a is divided by 13.
10
Suppose -3*l = -7*l + 116. Calculate the remainder when 56 is divided by l.
27
Let o = -4 + 7. Let q = 1 + 1. Calculate the remainder when o is divided by q.
1
Calculate the remainder when 3 is divided by 2 + (-1 - (3 + -3)).
0
Suppose -5*l + 0 = -i - 40, 2*i - 1 = l. Calculate the remainder when 15 is divided by l.
6
Suppose 34 + 18 = 2*n. Suppose -2 - 34 = -4*u. What is the remainder when n is divided by u?
8
Suppose 5*f = a - 9, -4*a + 3*f + 54 = f. Suppose -5*d = -3*j + 5, 2*d + 2*j = -0*d + a. Calculate the remainder when 15 + (-1 + d - 2) is divided by 8.
6
Let v = -160 + 86. Let w = v - 12. Calculate the remainder when 2/(-7) - w/7 is divided by 7.
5
Let m(o) = 2*o + 2. Let h be m(6). Suppose 0 = q - 4*d + 4, -5*d = q - h - 27. What is the remainder when q is divided by 6?
4
Suppose q = 3*q - 6. Let k = 14 + q. Suppose b - 2 = 2*p, -2*b - p = 1 - 15. Calculate the remainder when k is divided by b.
5
Let j = 26 - -16. Let z = 32 - 17. Let o = j - z. What is the remainder when o is divided by 14?
13
Let c be 2/(-11) - (-285)/55. Let z be (-51)/c*(-6 + -4). Suppose -4*n - 5*k = -6*n + z, -4*n = k - 248. What is the remainder when n is divided by 21?
19
Let m(w) = -5*w - 2. What is the remainder when 15 is divided by m(-2)?
7
Let z = 28 - 8. Suppose -16 = -2*a - 2. Calculate the remainder when z is divided by a.
6
Suppose i - 74 = -4*y, -3*y + 2*y = 2*i - 22. What is the remainder when y is divided by 10?
8
Let d = -35 + 3. Let i = -19 - d. What is the remainder when 38 is divided by i?
12
Suppose 0 = -7*j + 3*j + 476. What is the remainder when j is divided by 40?
39
Let t be (14/(-7))/(-1*1). Suppose -7*z = -t*z - 110. What is the remainder when 4/(-6)*-9*7 is divided by z?
20
Let m = -28 + 40. What is the remainder when 45 is divided by m?
9
Suppose -4*m + 18 = -2. What is the remainder when 36/(5 - 2) + 1 is divided by m?
3
Suppose -5 = -o + 3. What is the remainder when 45