*a + 10. Let o(y) be the second derivative of y**3/3 + 5*y**2/2 + 3*y. Calculate the remainder when o(0) is divided by d.
1
Suppose 0 = 3*j - g - 60, 2*g = 3*j + 4*g - 60. What is the remainder when (-4)/40 + 322/j is divided by 5?
1
Let o(f) = 3*f**3 - 57*f**2 + 12*f - 71. Let q(j) = j**3 - 19*j**2 + 4*j - 24. Let h(b) = 6*o(b) - 17*q(b). What is the remainder when h(19) is divided by 20?
18
What is the remainder when 158 is divided by (-32)/2*-2*20/32?
18
Let q = 79 - 76. Suppose 5*p = q*p + 6, 5*j - 159 = 2*p. Calculate the remainder when j is divided by 19.
14
Let j = -1544 + 1598. What is the remainder when 164 is divided by j?
2
Let v = 281 - 234. What is the remainder when 91 is divided by v?
44
Let n be 1/(-6) + 146/12 + -5. Calculate the remainder when (-7)/(n/(-1)) - -26*3 is divided by 10.
9
Suppose -13*b = -7*b - 66. Let f = 18 + -11. Calculate the remainder when b is divided by f.
4
Let a(o) = o**3 + 12*o**2 - 12*o + 33. Calculate the remainder when a(-13) is divided by 12.
8
Suppose 0 = -5*j - j + 48. What is the remainder when 47 is divided by j/(-40) - 172/(-10)?
13
Suppose 0 = -17*f + 14*f - 117. Suppose 4*m = -3*z + 234, -m = -4*m - 5*z + 181. Let c = f + m. Calculate the remainder when c is divided by 7.
4
Let i(t) = 3*t**2 - 88*t - 71. Calculate the remainder when i(32) is divided by 162.
23
Suppose 21*f + 9328 = 43*f. What is the remainder when f is divided by 85?
84
Let q = 220 + -344. Let p = 211 + q. Calculate the remainder when p is divided by 22.
21
Let k = 970 - 594. Calculate the remainder when k is divided by 128.
120
Let j = -529 - -556. What is the remainder when j is divided by 10?
7
Let h = 95 - 93. Suppose -28 = -0*i - h*i. What is the remainder when 97 is divided by i?
13
Suppose 18*p + 20*p = 1064. What is the remainder when 73 is divided by p?
17
Let o(r) = 4*r**3 - 2*r**2 + 2*r. Let a = -224 - -234. What is the remainder when o(2) is divided by a?
8
Suppose -11*n + 6*n - t + 435 = 0, 4*n = 2*t + 362. What is the remainder when n is divided by 24?
16
Let x(g) = -8*g**2 + 4*g - 2. Let n be x(2). Let m = -15 - n. Calculate the remainder when 16 is divided by m.
5
Suppose w - 16 = 5*s, 5*s = w + 3*s - 10. Suppose -3*l - u = -103 + w, 4*l = -u + 128. What is the remainder when l is divided by 11?
9
Suppose 4*g = 2*z - 9 - 1, -g + 5*z = 7. Let d(j) = 5*j + 3. Let s be d(5). What is the remainder when 378/s + (-1)/g is divided by 5?
4
Suppose 531 = 12*s - 9. Calculate the remainder when s is divided by 10.
5
Suppose -51 = -18*a + 39. What is the remainder when 43 is divided by a?
3
Let g = -30 - -35. Suppose -v + 24 = 2*z - 3*v, 3*z - g*v = 44. Calculate the remainder when z is divided by 6.
2
Let s = 133 + -109. What is the remainder when 91 is divided by s?
19
Let r(f) = 12*f - 3. What is the remainder when r(3) is divided by (-9)/(-8)*(-19 + 27)?
6
Calculate the remainder when 14730/66 + (-2)/11 is divided by 32.
31
Let q = 280 + -268. Calculate the remainder when 539 is divided by q.
11
Let c(j) = -j**3 + 2*j**2 + j + 7. Let b be c(5). Let r = b + 66. What is the remainder when 7 is divided by r?
1
Suppose -5*p = -5*i + 225, -35 + 25 = -5*p. Calculate the remainder when 328 is divided by i.
46
Suppose 9*n = n + 96. Suppose 8 = 2*y - 2. What is the remainder when (n/14)/(4/56) is divided by y?
2
Let c be 8/28 + 760/(-14). Let b be (c/(-21))/((-3)/(-28)). What is the remainder when 13 is divided by 3/12 - (-114)/b?
3
Let h be -1*7/(21/(-312)). Suppose 0 = 5*o - o - h. Suppose 5*g = -22 + 92. Calculate the remainder when o is divided by g.
12
Suppose -4*q = -q - 9. Suppose 0*h + q*h = -5*k - 11, -5*h - 5 = 5*k. Suppose 0 = -h*d - 2*d + 70. What is the remainder when d is divided by 5?
4
Let n(y) = y**3 - 5*y**2 - 2*y - 7. Let b be n(6). Suppose b + 59 = 2*m. Calculate the remainder when m is divided by 6.
2
Let p = 550 - 534. What is the remainder when 31 is divided by p?
15
Let m = -9 - -3. Calculate the remainder when 10 is divided by -6*(4/m + 0).
2
Suppose -i = -2, 8*g - 3*g + 2*i - 134 = 0. Calculate the remainder when 72 is divided by g.
20
Suppose 3*z - 11 = c, 0 = 4*c + 7 + 1. Suppose 6*h - z*h - 126 = 0. Let g(w) = -23*w - 1. Calculate the remainder when h is divided by g(-1).
20
Suppose 3*u - 18 = 9. Let b(h) = u*h**2 - 6 + 181*h - 3*h**2 - 180*h. Calculate the remainder when b(3) is divided by 18.
15
Let x = -141 - -109. Let v = 42 - x. Calculate the remainder when v is divided by (-892)/(-36) + 2/9.
24
Suppose -5*y = q - 478, 2*q = 5*y - 0*q - 469. Calculate the remainder when y is divided by 26.
17
Suppose -1716 = -5*p - 4*k, -2*p - 22*k + 672 = -24*k. Calculate the remainder when p is divided by 91.
67
Let h be 0 + 2 + 0/(8/(-2)). Suppose -2*v + 21 = m, -2*m + 43 = h*v + v. Calculate the remainder when 111 is divided by m.
19
Let t = 29 + 92. Let f = -106 + t. What is the remainder when 56 is divided by f?
11
Let a = -6 - -11. Let w(y) = -7 - 5*y - 5*y**2 - y**3 + 3 + 8. What is the remainder when w(-4) is divided by a?
3
Suppose -3*f + 5*t = -78, 4*t + 139 = 4*f + 27. Let g = f + -22. What is the remainder when 33 - -3 - (4 - 4 - -2) is divided by g?
7
Let k = -256 - -269. What is the remainder when k is divided by 7?
6
Suppose -114 = -13*s + 81. Calculate the remainder when 224 is divided by s.
14
Suppose -o + 69 = 4*w, 4*w - 4*o = -6 + 90. What is the remainder when 21 is divided by w?
3
Suppose 0 = 3*w + 4*d - 12 - 3, -3*d + 6 = -3*w. Suppose -4*s + 4 = 0, -4*t + 12 = s + 3. What is the remainder when t is divided by w?
0
Let t = -36 + 40. Suppose -t*n + 136 = 4*n. What is the remainder when n is divided by 5?
2
Suppose 4 = q - 185. What is the remainder when q is divided by 28?
21
Let z(l) = l**2 + 33*l + 55. What is the remainder when z(-33) is divided by 29?
26
Let g = 10 + -31. Let m = 25 + g. Suppose -3*y + 3*x + 72 = -0*y, -3*x - 92 = -m*y. What is the remainder when 59 is divided by y?
19
Let j be (2 - -5)/((-1)/(-2)). Suppose -j*l + 13*l + 41 = 0. Let i = 24 - 9. What is the remainder when l is divided by i?
11
Let h be (-1)/(-3)*3 + -100 + 1. Let p = -24 - h. What is the remainder when p is divided by 25?
24
Let j = -28 - -33. Suppose -31 = -j*n + 99. What is the remainder when 102 is divided by n?
24
Let v(a) = 11*a - 14. Let g be v(5). Suppose -5*y + 59 = -g. Let u = y - 0. Calculate the remainder when 59 is divided by u.
19
Suppose -218 - 325 = -3*u. What is the remainder when u is divided by 23?
20
Let s = 89 + -63. What is the remainder when 66 is divided by s?
14
Suppose 0 = -o + 2 - 3, 0 = 3*p + 3*o - 27. Let g = 81 + -42. What is the remainder when g is divided by p?
9
Suppose -2*x + 6*x + 5*m - 18 = 0, -3*x = -2*m - 25. What is the remainder when 20 is divided by x?
6
Let b(j) = -j**3 + 5*j**2 + 3*j. Let o be b(5). Let f = o - 47. Let q = -16 - f. Calculate the remainder when 47 is divided by q.
15
Suppose 0*f = f - 9. Let y = 43 - f. What is the remainder when 101 is divided by y?
33
Suppose -14 = -4*n + 26. Suppose 2*s = n*s - 296. Calculate the remainder when s is divided by 10.
7
Let q(y) = -y**3 - 7*y**2 + 8*y + 2. Let t be q(-8). Let j(i) = 68*i**2 - 13 - 2*i - 69*i**t - 20*i. Calculate the remainder when 52 is divided by j(-20).
25
Let r(j) = j**2 + 3*j + 3. Let v be 0*(3 + -4) + 2. Let i be -4 + (1 - (0 + v)). What is the remainder when 36 is divided by r(i)?
10
Let q(j) = 3*j + 94. Calculate the remainder when 93 is divided by q(-25).
17
Let x(r) = 53*r**2 - 6*r - 2. What is the remainder when 717 is divided by x(1)?
42
Calculate the remainder when (-621)/(-7) - (-182)/637 is divided by 20.
9
Let z(c) = c**3 + 58*c**2 - 213*c - 67. Calculate the remainder when z(-61) is divided by 28.
27
What is the remainder when 75 is divided by 2 + (4 - -21 - 6)?
12
Suppose 0 = -3*l - 6, 4*i - 3*l - 52 = -l. Suppose -y - 2*q + i = -7, 3*q + 24 = 2*y. Calculate the remainder when 70 is divided by y.
10
Let y(o) be the first derivative of -9*o**2/2 - o - 3. Calculate the remainder when y(-7) is divided by 13.
10
What is the remainder when 94 is divided by -120*(-27)/(-18)*(-8)/30?
46
Let v be (1 - 2)/(2/(-44)). Suppose h - v = -0*h. Let a = 305 + -198. Calculate the remainder when a is divided by h.
19
Let v be (8/1 - 1) + -1. Let s(t) = 6*t - 13. Calculate the remainder when s(