er when j is divided by 27?
24
Let x(h) be the third derivative of h**5/20 + h**4/8 - 5*h**3/3 - 24*h**2. What is the remainder when 153 is divided by x(3)?
23
Let x = 650 - 658. Suppose 9*b - 60 = 4*b. Calculate the remainder when 60 is divided by (-166)/x - (-3)/b.
18
Let u(l) = -l**3 + l - 8. Let m be u(0). Calculate the remainder when (m/(-3))/((-8)/(-12)) is divided by 3.
1
Let r = -88 + 222. Calculate the remainder when r is divided by 6.
2
Suppose -3*h + 8 = 2, -1086 = -4*k + h. Suppose 6*o = k - 110. Calculate the remainder when o is divided by 7.
6
Suppose -10 = -5*v + 3*v. Suppose 0*f = -v*f. What is the remainder when f - (-4 + -1 + 3) is divided by 2?
0
Let c = 35 + -64. Calculate the remainder when 122 is divided by (-6)/(-2) - (c - -1).
29
Let d = 69 + -1. What is the remainder when 11 is divided by (-6)/(-8) - (-85)/d?
1
Let k(q) = 13*q - 3. Let v(d) = -d**2 + 6*d + 3. Let p be v(6). Suppose 3*j + 0 = -3*b + p, -j + 3 = 2*b. Calculate the remainder when 89 is divided by k(b).
20
Let p = -4 - -29. Let r = 44 - p. Let u = 55 - 44. Calculate the remainder when r is divided by u.
8
Let v(w) = w + 2. Let h be v(0). Let l be (0/11)/(2/2). What is the remainder when 38 + 0 + l + h is divided by 21?
19
Suppose 15 = 5*d + 5. Suppose -3*m - 141 = -5*k + m, 5*k - 133 = d*m. Calculate the remainder when k is divided by 13.
12
Suppose 4*a - 393 = -u, -4*u = 10 + 2. Let y be (-2)/(-4) - (-10)/(-4). Calculate the remainder when a is divided by y*((-150)/(-4))/(-3).
24
Let y(b) = -b**2 + 12*b + 9. Let x = 37 + -19. Suppose 3*v = x + 18. Calculate the remainder when 35 is divided by y(v).
8
Let m = -17 + 36. Let v = m + 5. Calculate the remainder when 94 is divided by v.
22
Suppose -4*s + 220 - 36 = 3*n, -s + 46 = -2*n. Let o = 2 + 6. Calculate the remainder when s is divided by o.
6
Let a(v) = 73*v**2 + 29*v + 29. Calculate the remainder when 163 is divided by a(-1).
17
Let f(x) = x**3 + 7*x**2 - x - 4. Let t be f(-7). Suppose -g = t*g - 108. Calculate the remainder when g is divided by -2 - 0 - 6*-2.
7
Let y = -26 - -62. What is the remainder when (-30*(-14)/(-16))/((-1)/4) is divided by y?
33
Let o = -1215 - -1220. Calculate the remainder when (-1)/(1 + 0) + 9 is divided by o.
3
Suppose -249 = -3*b + 141. Suppose -56*h - b = -61*h. Suppose 109 = 4*c - 199. What is the remainder when c is divided by h?
25
Let u = 57 - 34. Let o(x) be the first derivative of x**2/2 - 4*x + 1. What is the remainder when u is divided by o(10)?
5
Suppose k = -3*r + 32, -3*k + 50 = 4*r + 14. Suppose 179*d - 2639 = -24*d. What is the remainder when d is divided by r?
1
Let k(r) be the second derivative of r**3/3 - r**2 + 2*r. What is the remainder when 130/8 - 27/(-36) - 6 is divided by k(4)?
5
Suppose 4*o + 20 = -4. Let u(k) = k**3 + 5*k**2 - 13*k - 17. What is the remainder when 47 is divided by u(o)?
22
Let h = 12 - -21. Let c = h + -11. What is the remainder when (-2)/(-6) - (-188)/3 is divided by c?
19
Suppose 3*q - 244 = -5*m + 439, -2*m + 934 = 4*q. Calculate the remainder when q is divided by 73.
17
Let h(v) = -2*v**2 + 8*v - 4. Let l be h(5). What is the remainder when 19 is divided by (-156)/l - ((-72)/(-14) - 5)?
8
Calculate the remainder when 6/30 + (-1170)/(-25) is divided by 24.
23
Let z(t) = -t**3 + 37*t**2 + 266*t - 311. Suppose 0 = -5*r - 2 + 17. Suppose -5*w + w + 503 = -3*k, r*k = 9. What is the remainder when w is divided by z(43)?
29
Let r(n) = n**3 - 4*n**2 + 5*n + 3. Let u be r(4). Suppose 2*o = b - 3*o - u, 3*b + o = 37. Calculate the remainder when b is divided by 6.
1
Let w(r) = 10*r - 146. Calculate the remainder when w(20) is divided by 20.
14
Let r(v) = 8*v**3 + 10*v**2 - 16*v + 5. What is the remainder when r(3) is divided by 22?
21
Let l = -3326 + 3389. Let q(i) = 5*i**2 - i - 2. Calculate the remainder when l is divided by q(2).
15
Suppose 0 = 41*w + 1200 - 4152. Let x = -13 + 28. What is the remainder when w is divided by x?
12
Suppose -4*k = 2*i - 194, 2*i = -2*k + 5*i + 101. Suppose 4*t + 71 = -0*q + q, 5*q = 2*t + 49. Let p = t + 34. Calculate the remainder when k is divided by p.
15
Let l = -10804 + 10810. Suppose 3*q = -4*b + 7 + 49, 0 = -4*b + 2*q + 76. Calculate the remainder when b is divided by l.
5
Let q = -109 + 140. What is the remainder when q is divided by 14*2/4 - 0?
3
Calculate the remainder when (-7 + 707/(-28))*-4 is divided by 67.
62
Suppose 63 = 3*x + 3. Let d(i) = 3*i - 6. Let k be d(3). Suppose 2*s - 92 = -5*j + 21, x = j + k*s. What is the remainder when j is divided by 12?
11
Let v = 661 + -645. Calculate the remainder when 1343 is divided by v.
15
Let s(z) = -z**3 - 10*z**2 - 12*z - 12. Let h(i) = i**3 + 6*i**2 + 4*i - 2. Let t be h(-6). Let j = -35 - t. What is the remainder when 56 is divided by s(j)?
11
Let b(j) = -2*j**2 + 25*j + 13. What is the remainder when 69 is divided by b(12)?
19
Let z = 89 + -85. Suppose -5*k = -20, z*i + 2*k + 3*k - 288 = 0. What is the remainder when i is divided by 18?
13
Suppose 0 = -3*h + 61 - 46. Suppose -h*w + 17 = -4*n, n + 6 + 2 = 2*w. What is the remainder when 13 is divided by w?
3
Suppose 5*w - 168 = 3*w. Let q = 157 - w. Calculate the remainder when q is divided by 19.
16
Suppose 5*q - 540 - 91 = -2*x, 5*x - 1552 = -4*q. Calculate the remainder when x is divided by 35.
28
Let s(m) = -76*m + 37*m + 42*m + 5*m**2 + m**3 - 2*m**3 - 6. What is the remainder when 80 is divided by s(3)?
17
Suppose -j + j = 3*j. Suppose j = 5*r - 91 + 21. Let b(g) = 2*g**3 - 4*g**2 - 7*g + 5. What is the remainder when b(4) is divided by r?
13
Let z = 20 + 11. Let n = -113 - -116. Suppose 5*j + 31 = -n*a + 648, 5*j - 3*a - 593 = 0. What is the remainder when j is divided by z?
28
Let j = -462 + 559. Calculate the remainder when j is divided by 11.
9
Let c(d) = d**2 + 8*d - 21. What is the remainder when 102 is divided by c(-12)?
21
Suppose 7 = -k + 6. Let i(j) = -55*j - 2. Calculate the remainder when i(k) is divided by 14.
11
Let z = 1683 - 1666. What is the remainder when 45 is divided by z?
11
Let g = -487 + 498. Let n = -35 - -66. Calculate the remainder when n is divided by g.
9
Let r(d) = -d**2 + 10*d + 6. Suppose -11*z = -6*z - 45. Calculate the remainder when 134 is divided by r(z).
14
Let a = 23 + -26. Let l be 5926/(-14) + (-2)/(-7). What is the remainder when (-3)/(l/138 - a) is divided by 16?
14
Suppose -2*f + 123 = -3*v, -3*v + 239 = 4*f - 2*v. Calculate the remainder when 1797 is divided by f.
57
Suppose 5*r + 5*j + 0*j - 10 = 0, -3*r + j = -6. Suppose 4*u + 2*q - 15 = 3*u, 8 = -r*q. Calculate the remainder when 67 is divided by u.
21
Suppose 2*b - 1 = -b + l, 5*l + 5 = -5*b. Suppose 0 = -2*m - 8 - b. Let n(q) = -10*q - 6. Calculate the remainder when 100 is divided by n(m).
32
Let f be ((-21)/(-12))/(5/(-40)). Let o = 20 + f. Calculate the remainder when o is divided by 3.
0
Let g = 3 + 3. Suppose -3*x - 4*m + g = 0, -x + 3*x + 2*m - 4 = 0. Suppose -4*c + 4 = -x*c. Calculate the remainder when 5 is divided by c.
1
Suppose 0*b - 20 = -b. Let f(c) = c**2 + 22*c + 3. Let m be f(-22). Suppose 0 = m*z - 10 - b. What is the remainder when z is divided by 3?
1
Suppose -5*q + 33 = 4*f, 0*f + 10 = 5*f. What is the remainder when 101 is divided by q?
1
Suppose 2*q = 7*q - 50. Calculate the remainder when 147 is divided by q.
7
Suppose 36*u - 35*u - 15 = 0. What is the remainder when 19 is divided by u?
4
Calculate the remainder when 39 is divided by (-3 - 0 - 2)*31/(-5).
8
Let f(j) = -j**3 - j**2 + j + 2. Let i(a) = -a**2. Let o(x) = f(x) + i(x). What is the remainder when (-1 + 9/(-6))*-12 is divided by o(-3)?
6
Suppose h + 275 = 5*b, 6*b = 11*b - 3*h - 275. Suppose -59 + 179 = 4*z - 4*o, 0 = -2*z + 5*o + 63. What is the remainder when b is divided by z?
26
Suppose 0 = 14*j - 32 - 52. Suppose 2*r - j*r = -d + 21, 4*d - 84 = -r. What is the remainder when 62 is divided by d?
20
Let f = 1 - -2. What is the remainder when 69 is divided by 13/(26/54) + f/(-1)?
21
Let q(u) = -2*u**3 - 20*u**2 - 8*u - 54. Suppose 4*f + 2 = 30. What is the remainder when q(-10) is divided by f?
5
Let d(f) = -f**2 - 10*f - 7. Let a = 8 - 16. What is the remainder when (-9)/((-27)/8)*6 is divided by d(a)?
7
Suppose -5*l = 9*r - 12*r - 394, r + 3 = 0. What is the remainder when l is divided by 28 + 1*(-2 - 