034)/(-10)*(-30)/(-18) is divided by 6.
3
Let o(f) = 3*f**2 + f - 2. Let k be o(1). Let d(x) = 5*x**3 - x**2 - x + 2. Suppose 0 = -0*z - 3*z + 39. What is the remainder when d(k) is divided by z?
10
Suppose v = -2*r + 131, -3*v + 5 = 2*v. Calculate the remainder when r is divided by 27.
11
What is the remainder when (-3)/((-228)/32167) + (-1)/4 is divided by 17?
15
Let u(w) = -w**3 - 4*w**2 + 3*w + 16. Calculate the remainder when u(-5) is divided by 2.
0
Let m = 15 + -9. Let v be 2*(9 - (1 - 4)). Suppose -3*s + m*s - v = 0. Calculate the remainder when 15 is divided by s.
7
Suppose -2*o + 4*o = 12. Suppose -o*m - 3*m = -333. Suppose -5*x = -0*n + 4*n - 56, 2*x + 46 = 2*n. Calculate the remainder when m is divided by n.
18
Let x = -5852 - -5867. Suppose 2 = -5*z + 12. Suppose -2*t = 4*u + z, -3*t + 8 = -2*u - 29. What is the remainder when x is divided by t?
6
Suppose -3*i + 3*o + 195 = -3, 0 = -3*o - 6. Calculate the remainder when 185 is divided by i.
57
Suppose 0 = 7*p + p. Suppose p = -6*j + 895 + 59. What is the remainder when j is divided by 32?
31
Let h(f) = -2 - 1 + 5 + 2*f + 5. Let c be h(-3). Calculate the remainder when 37 - -3*1/c is divided by 21.
19
Suppose 4*c + 5*d - 3 = 0, 0 = -3*c + 5*c - 4*d - 8. What is the remainder when 365 is divided by c?
1
Let c be -1 + 1*(1 - -4). Suppose 0 = -c*s - s + 825. Let r = 235 - s. Calculate the remainder when r is divided by 18.
16
Let r(s) = s**2 + 7*s + 16. Suppose 20 = -z + 15. What is the remainder when 27 is divided by r(z)?
3
Let z(c) = 41*c**3 - c + 1. Let p = -45 - -52. Calculate the remainder when z(1) is divided by p.
6
Suppose 34 = 5*v - 4*l, l - 8 = 2*v - 21. What is the remainder when (-4 - (-4)/2) + 25 is divided by v?
5
What is the remainder when 43 is divided by -358*(-2)/32 + 90/(-240)?
21
Let r(v) = -2*v**2 - 11*v + 5. Let h be r(-9). Let b = -38 - h. Suppose 4*x + 130 = 3*w - 0*x, w + 3*x - 26 = 0. Calculate the remainder when w is divided by b.
18
Suppose 5*n - 29 = -14. Let z = 8 - n. Calculate the remainder when 12 is divided by z.
2
Let o(m) = m + 65. What is the remainder when 139 is divided by o(-12)?
33
Suppose 6*s + 96 - 132 = 0. What is the remainder when 10 is divided by s?
4
Let p = 60 - 54. Let h be ((-54)/(-3))/(-2) + 3. What is the remainder when p is divided by ((-2)/h)/((-1)/(-6))?
0
Let u(g) = g**3 + 3*g**2 + 2*g - 4. Suppose 5*q = 4*y - 1131, 0 = 4*y + 4*q - 500 - 604. What is the remainder when y is divided by u(3)?
55
Let d(r) = 2*r**2 + 8*r + 38. Suppose -5*u - 11 + 129 = 3*f, u = 3*f + 38. Calculate the remainder when d(-8) is divided by u.
24
Calculate the remainder when 102 is divided by -2 + (-4)/(-2) - (-396)/11.
30
Let h(f) = -4*f - 36. Let u be h(-12). Suppose 0 = 2*a - v - u, -5*a + 30 = -4*v + 9*v. What is the remainder when 8 is divided by a?
2
Let v(y) = 6*y**2 + y - 9. Let p(q) = q**2. Let k(z) = 5*p(z) - v(z). Suppose -3*f = 2*f - 30. Calculate the remainder when k(0) is divided by f.
3
Let p be (-86)/(-5) - 32/(-40). Let x = p - -1. Let b = 14 + -3. Calculate the remainder when x is divided by b.
8
Suppose 44*l - 235 = 821. What is the remainder when 1*282/(9/3) is divided by l?
22
Let p be 11/33 + (-11)/(-3). Suppose o + 3*o = -5*j + 6, 0 = -4*o + p*j + 24. What is the remainder when 59 is divided by ((-40)/6)/(o/(-12))?
19
Let p(v) = -v**3 + 13*v**2 - 3*v + 10. What is the remainder when p(4) is divided by 10 - 3/((-6)/4)?
10
Let o(f) = f + 7. Let u be o(-4). Suppose 0 = -w - u*w. Suppose -3*g + 0*g + q + 9 = 0, w = -4*g - 5*q + 12. What is the remainder when 7 is divided by g?
1
Suppose 14*q = 11*q + 498. What is the remainder when q is divided by 85?
81
Calculate the remainder when 31 is divided by 180/48*(3 - -1) - -2.
14
Suppose -4*y + 20*i - 16*i + 96 = 0, -3*y + 80 = -5*i. Calculate the remainder when 554 is divided by y.
14
Suppose -5*t + 37 = 4*v, 5*t - 5 - 6 = -2*v. Let j = 1201 + -1170. What is the remainder when j is divided by v?
5
Let a = -11 + -8. Let d = -5 + -6. Let n = d - a. Calculate the remainder when 14 is divided by n.
6
Let j(y) = y + 8. Calculate the remainder when 73 is divided by j(18).
21
Suppose 0 = -56*k + 57*k + 20. What is the remainder when 77 is divided by 3/(4 - 5) - k?
9
Let o = 3 + -4. Let q(t) be the second derivative of -t**3 + t**2/2 - 4*t. What is the remainder when q(o) is divided by 2?
1
Suppose -191*u + 211*u - 280 = 0. What is the remainder when 433 is divided by u?
13
Let k = 101 - 11. Suppose 3*d = 4*t + 406, -d = -3*t - 47 - k. What is the remainder when d is divided by 27?
26
Let u be (-3)/6*3*-2. Let j = -43 - -48. Suppose j*a - 75 = -3*o, -o = u*a - 31 + 6. Calculate the remainder when 73 is divided by o.
23
Suppose 5*w = 82 + 163. Suppose -3*t + 2*t + 2 = 0. What is the remainder when w is divided by t + (-4 + 3)*3 + 14?
10
Let w = 40 - -14. Calculate the remainder when 59 is divided by w/((1 + 1)*1).
5
Let x = -5 + 36. Suppose -2*t - x = -5. Let h = 8 - t. Calculate the remainder when h is divided by 12.
9
Let s = 12 + -4. Let n be (20/(-8) - -3)*s. What is the remainder when 26 is divided by n/(-20) - 92/(-10)?
8
Let s(k) = 7*k**3 + 8*k + 144. Let l(j) = -3*j**3 - 4*j - 72. Let o(m) = -9*l(m) - 4*s(m). Calculate the remainder when o(0) is divided by 20.
12
Let n be 25/1*(-8)/10. What is the remainder when -6*4/(-6)*6 is divided by (-284)/n - 2/10?
10
Let u = 910 + -825. Calculate the remainder when 181 is divided by u.
11
Suppose 180 + 35 = 5*v - 4*g, -2*v + 86 = 3*g. Calculate the remainder when 163 is divided by v.
34
Let b be (6 - 4)*(-3)/2. Let i = 1 - b. Suppose 42 = 3*w + i*s, 4*w - 5*s = 28 - 3. Calculate the remainder when w is divided by 6.
4
Suppose 2*r + 10 = 0, -h - 4*r - 8 = -0*r. Let n(l) = -l**2 + 12*l + 17. What is the remainder when 31 is divided by n(h)?
14
Let x = -151 + 184. What is the remainder when x is divided by 14?
5
Suppose 3*i = 2*i + 1. Calculate the remainder when 3*1*(-649)/(-33) is divided by 116/8 - i/(-2).
14
Calculate the remainder when (-43464)/(-120) + 3/(-15) is divided by 92.
86
Let r(h) = 47*h - 179. What is the remainder when 32 - (-1)/((-2)/(-2)) is divided by r(4)?
6
Suppose 32*p - 27*p - 3*a = 935, 3*p + 2*a = 561. What is the remainder when p is divided by 21?
19
Let t = -46 + 91. Suppose -12 = 11*c - t. What is the remainder when 30 is divided by c?
0
Let n = 0 - -22. Let y(t) = -2*t**3 - 6*t**2 + 2*t - 4. Let b = 8 + -13. What is the remainder when y(b) is divided by n?
20
Suppose -21*k = -17*k - 108. Let d(r) = 2*r**3 - 6*r**2 + 9*r - 11. What is the remainder when d(5) is divided by k?
26
Let d(h) = -9*h - 1. Let j be d(-1). Let r = 6 - j. Calculate the remainder when (-1)/1 - r - -72 is divided by 19.
16
Suppose -495*f + 514*f - 912 = 0. What is the remainder when 1245 is divided by f?
45
Suppose m - 64 = -3*m. What is the remainder when 1/(-2) - (-123)/2 is divided by m?
13
Let y = 13390 - 13227. Let s(b) = 11*b**2 + b - 1. Calculate the remainder when y is divided by s(1).
9
Let u = -85 - -147. What is the remainder when u is divided by 18?
8
Let v = -264 + 267. Suppose 3*c - 4*u = 19 - 4, -5*c = -3*u - 36. What is the remainder when c is divided by v?
0
Let r = 5 + 2. Suppose m = q - 38, q - 5*m = -12 + 38. What is the remainder when q is divided by r?
6
Let c(p) = -2*p**3 - 18*p**2 - 3*p - 2. What is the remainder when 116 is divided by c(-9)?
16
Suppose 3*r - 5*u + 4*u = 21, 4*r + 4*u = 44. What is the remainder when 17 is divided by r?
1
Let s(a) = a**3 + 8*a**2 - 12. Calculate the remainder when 196 is divided by s(-4).
40
Let n = -1329 - -3157. Calculate the remainder when n is divided by 31.
30
Suppose 3*r + 4*q - 198 = 0, -3*q - 53 = -6*r + 5*r. What is the remainder when r is divided by 26/(-4)*(-2 + 0)?
10
Suppose 6400 = 38*d - 5380. Calculate the remainder when d is divided by 78.
76
Let y = 112 - 60. Suppose 5*z - y = -u, -u + z - 1 = -23. Suppose -2*c + 11 = -u. What is the remainder when 73 is divided by c?
16
Let w(j) = j - 4. Suppose -2*t = -1 - 9. Let d be w(t). Calculate the remainder when 47 is divided by (-9)/(6*d/(-8)).
11
Let r = 10 - -9. Let a(y) be the third derivative of y**5/20 - y**4/6 - 2*y**3/3 + 2*y**2. Calculate the remainder when a(-3) is divided by r.
16
Suppose 12*q - 89 = 31. Calculate the rem