 z be l(4). Let b = 0 + z. Calculate the remainder when b is divided by 9.
8
Let t(z) be the second derivative of -z**5/20 + z**4 + 17*z**3/6 - 15*z**2/2 - 2*z. Calculate the remainder when 109 is divided by t(13).
35
Let q be 2/7 - 80/(-14). Let k be 1/3 + 4/q. Suppose k + 12 = u. Calculate the remainder when u is divided by 7.
6
Suppose 0 = -m - 4 - 6. Suppose 9*d + q - 63 = 14*d, 4*d + q = -54. Let w = m - d. What is the remainder when 11 is divided by w?
2
Let c(i) = -5*i + 584. Calculate the remainder when c(57) is divided by 92.
23
Suppose -5*v = -t + 200, 0 = -17*t + 16*t + 2*v + 206. What is the remainder when t is divided by 42?
0
Let k = 181 + -103. Calculate the remainder when k is divided by 10.
8
Let i(q) = 18*q**2 + 3*q - 5. Let f be i(2). Let w = -47 + f. Let x = w - -2. Calculate the remainder when x is divided by 15.
13
What is the remainder when 28 is divided by (27/(-5))/((-177)/590)?
10
Let y = 573 + -509. What is the remainder when 1277 is divided by y?
61
Let c(r) = 4*r - 62. Let w be c(17). Let a(t) = t**3 - 3*t**2 - 12*t - 5. Calculate the remainder when a(w) is divided by 12.
7
Let v(m) = -14*m + 235. Calculate the remainder when 129 is divided by v(16).
8
Let n be 0/(4 + -7) - 85. Let h = n + 160. What is the remainder when h is divided by 19?
18
Suppose 19*z - 24*z = -30. Let w be z/(-6) - (0 + -2). What is the remainder when 40 is divided by 3 + w + 1 + 9?
12
Let w(b) = 4*b + 14. Let y be w(-18). Let c = -96 - y. Calculate the remainder when ((-3)/2)/(1/c) is divided by 15.
12
Let h = -158 - -174. Calculate the remainder when ((-17)/5 - 1)*-10 is divided by h.
12
Let q = 55 - 53. Calculate the remainder when 3 is divided by q*5/6 - 1/(-3).
1
Suppose 0 = 4*b + 311 + 5. Let l = b - -127. Let v(y) = 14*y**3 - y**2 + y - 1. What is the remainder when l is divided by v(1)?
9
Let a(w) = 2*w + 20. Let t be a(-8). Suppose -t*l = -3*x + 80, 5*x - 4*l - 47 = 89. What is the remainder when x is divided by 8?
4
Let w = 130 - -107. Calculate the remainder when w is divided by 43.
22
Let q = 40 - 12. Let s(a) = -28*a - 102. Calculate the remainder when q is divided by s(-4).
8
Suppose 4128 = 2*o + 84*o. Let z(y) = 4*y + 5. Calculate the remainder when o is divided by z(5).
23
Suppose 6*i + 0*i = -4356. What is the remainder when (-5)/(-20) + i/(-8) is divided by 46?
45
Let d be 3 - 2/(-3 + 1). Suppose -x = -5*s - d*x + 69, -x = -4*s + 45. Calculate the remainder when (-89)/(-2) + 8/16 is divided by s.
9
Suppose -24112 - 3293 = -105*i. Calculate the remainder when i is divided by 25.
11
Let y = 88 + -53. What is the remainder when y is divided by (-63)/42 + ((-82)/(-4) - 0)?
16
Suppose -5*d - o + 346 = 0, 4*d - 121 - 139 = -5*o. What is the remainder when 276 is divided by d?
66
Suppose -35*z - 5498 = -37*z. Calculate the remainder when z is divided by 64.
61
Let o(t) = 2*t**3 + 24*t**2 - 3*t - 5. What is the remainder when 240 is divided by o(-12)?
23
Suppose 3*w + 7 = -3*q + 130, w = 4*q + 36. What is the remainder when 439 is divided by w?
39
Let f = 1 - -8. Suppose f*w = 5 + 40. What is the remainder when 18 is divided by w?
3
Suppose 2*v + 2*w + 2*w = 2, -v - 3*w - 4 = 0. What is the remainder when 1680 is divided by v?
8
Let b = -405 - -484. Calculate the remainder when 311 is divided by b.
74
Let z = -31 + 30. Let w(o) = -7*o + 3. Let q(y) = 2*y**2 - 4*y. What is the remainder when q(6) is divided by w(z)?
8
Suppose -30*j + 25*j = -5*m - 190, 0 = -j - 5*m + 20. What is the remainder when 766 is divided by j?
31
Suppose -2*u + 1 = -5. Suppose -o = -s + 2, -6 = u*o - 3*s + 8*s. What is the remainder when 33 - (-4 + 1 - o) is divided by 9?
7
Suppose -481 + 21 = -20*z. Calculate the remainder when 666/10 + 4/10 is divided by z.
21
Suppose 3*t + 9 = 6*t. What is the remainder when t is divided by 4 - (2 + (-1)/(-1))?
0
Let p(w) = -2*w + 64. Let v(s) be the first derivative of -s**4/4 - 4*s**3/3 - 5. Let f be v(-4). Calculate the remainder when p(f) is divided by 22.
20
Let c(o) = -40*o + 10. Let m(z) = -13*z + 3. Let r(p) = -3*c(p) + 10*m(p). What is the remainder when (-31)/11 + 3 + (-3487)/(-121) is divided by r(-1)?
9
Let w(f) = f**2 - 22*f + 39. Let g be w(21). Let i = 56 - g. Let p = 14 + -6. Calculate the remainder when i is divided by p.
6
Suppose 0 = 60*k - 53*k - 1351. What is the remainder when k is divided by 33?
28
Let w(u) = u**3 - 10*u**2 + 9*u - 12. Suppose -i = -2*i + 9. Let f be w(i). Calculate the remainder when (-1365)/(-20) - 9/f is divided by 24.
21
Suppose 3*w + 3*o - 12 = -0*w, 2*w + 3*o - 8 = 0. Calculate the remainder when 31 is divided by w.
3
Suppose 223 = 5*u - 2*c, 235 = u + 4*u - 5*c. Suppose u = -3*v + 4*v. What is the remainder when v is divided by 11?
10
Suppose 5*v - j + 43 = 133, 0 = -3*j + 15. What is the remainder when 1120 is divided by v?
18
Let s = -597 - -623. Calculate the remainder when 258 is divided by s.
24
Let k(c) = -c**2 + 15*c - 17. Let d be k(14). Calculate the remainder when (1 + d)*(-75)/6 is divided by 12.
1
Suppose -3*x = 4*x - 4613. What is the remainder when x is divided by 110?
109
Let o = 450 - 285. Calculate the remainder when o is divided by 6.
3
Suppose -5*j + 9 = -4*p, -6 = -4*p - 2*j + 4*j. Suppose p*r = -r + 25. Let f = 13 + -4. Calculate the remainder when f is divided by r.
4
Let u(y) = y**3 + 18*y**2 + 10*y - 19. Calculate the remainder when u(-17) is divided by 7.
2
What is the remainder when 162 is divided by 1 + -5 + -33*24/(-18)?
2
Let s = -75 - -142. Suppose -2*i + s = 5*l, 3*i + i - 164 = -4*l. Calculate the remainder when 182 is divided by i.
44
Let o(m) = -2*m**2 - 16*m + 52. Calculate the remainder when 57 is divided by o(-10).
9
What is the remainder when 23 is divided by 50/(2 + 3) + 6?
7
What is the remainder when (13 + 92)*(92/20 - 4) is divided by 18?
9
Suppose -3*t - 5*m - 8 = -6*m, -3*t + 4*m - 14 = 0. Let d(z) = -16*z - 10. Calculate the remainder when 42 is divided by d(t).
20
Let l(q) = -2*q + 54. Let t(j) = -j**3 - 2*j**2 - 5*j - 4. Calculate the remainder when l(-19) is divided by t(-3).
12
Let o(c) = -c**3 - 8*c**2 - 10*c + 26. Calculate the remainder when 94 is divided by o(-6).
10
Let m(k) = -k**3 - 32*k**2 - 218*k + 54. Suppose 0 = -0*c - 2*c + 92. Calculate the remainder when c is divided by m(-22).
6
Let y be 1/(0 + 1/(-5)). Let d = y - -7. Calculate the remainder when 17 is divided by d.
1
Let b(t) = -t**3 + 6*t**2 - 4*t - 5. Suppose 0 = 3*x - 5 - 7. Let d be b(x). Suppose 7*h - d*h + 164 = 0. Calculate the remainder when h is divided by 15.
11
Let g(i) = 8*i - 20. Let x be g(-5). What is the remainder when 32 is divided by x/35*(-21)/2?
14
Suppose -4*y + 24 = -4. Let u be (-42)/(-2)*12/36. Suppose -1 - u = -2*z. What is the remainder when y is divided by z?
3
Let x(m) be the third derivative of -m**6/20 + m**5/60 + m**4/6 - m**3/3 + 12*m**2. Calculate the remainder when x(-2) is divided by 22.
20
Suppose 24*o - 1404 + 540 = 0. What is the remainder when o is divided by 10?
6
Let q(j) = -j**3 + 11*j**2 + 10*j - 72. Calculate the remainder when q(6) is divided by 17.
15
Suppose -2*q + 61 = 3*n, 5*q - 3*q = -2*n + 38. Suppose -4*l + 111 - n = 0. Calculate the remainder when 41 is divided by l.
19
Suppose p - 4 = 0, 1332 = 3*v + 7*p - 1825. What is the remainder when v is divided by 95?
93
Let l(h) = 2*h**2 - 22*h - 23. Let f be l(16). Let o = f - 86. What is the remainder when o is divided by 18?
15
What is the remainder when (-553)/(-1659)*((0 - 0) + 78) is divided by 9?
8
Let x(m) = -9*m - 11. Let y be x(6). Let a = 67 + y. What is the remainder when 8 is divided by a?
0
Let v = 24 + -22. Let j be (2/(-5))/(v/(-20)). Let z(l) = l**3 - 3*l**2 - 4*l + 10. Calculate the remainder when 68 is divided by z(j).
8
Suppose 0 = -61*c + 59*c + 482. What is the remainder when c is divided by 81?
79
Let y(v) = 78*v**3 - 13*v**2 + 13*v. What is the remainder when y(1) is divided by 16?
14
Let x(v) = -v**3 - 2*v**2 + v + 7. Let t be x(-3). Let f = t + 78. Calculate the remainder when f is divided by 31.
29
Let b(n) = -6*n - 139. Let j = -11 + 21. Calculate the remainder when b(-28) is divided by j.
9
Let d = -189 - -311. What is the remainder when d is divided by 56?
10
Suppose -4*l - 4*z - 19 = -3*z, l + 4*z + 16 = 0. Let b(o) = -2*o - 2. What