 remainder when (x/(-3) + -1)*9/(-2) is divided by 2.
0
Suppose 0 = 3*l - j + 6, 0*j + 2*j = 2*l. Calculate the remainder when 16 is divided by (-5 - (-28)/(-12))*l/2.
5
Let f(o) = 107*o**3 - 2*o**2 + o. Let k be f(1). Suppose -5*c - 299 = k. Let q = -39 - c. What is the remainder when q is divided by 9?
6
Suppose -539*v = -543*v + 64. What is the remainder when 2781 is divided by v?
13
Let f(i) = i + 10. Let j be f(-7). Let g = 28 + j. What is the remainder when g is divided by 11?
9
Let m = 76 + -55. Suppose 117 = 3*n + m. What is the remainder when n is divided by 17?
15
Let o(q) = -7*q**3 + 3*q**2 - 12*q - 13. Calculate the remainder when 240 is divided by o(-1).
6
Suppose 5*q - 27 = 3*o, -2*o - 11 = -2*q - 1. Let p = 7 - -1. Suppose -3*y = -p*y + 105. What is the remainder when y is divided by q?
3
Let d(q) = -2*q**2 - 9*q + 17. Let o be d(-7). Calculate the remainder when -57*3/o*2 is divided by 10.
9
Let b(l) = -l**3 + 15*l**2 + 22*l - 49. Calculate the remainder when 166 is divided by b(16).
25
Let d = 8 - 4. Suppose -h = d*h - 65. What is the remainder when h is divided by (-69)/(-12) - (-6)/(-8)?
3
Let s(a) = -66*a - 623. Calculate the remainder when s(-11) is divided by 72.
31
Calculate the remainder when ((-342)/(-3))/((-18)/(-12)) + 1 is divided by 43.
34
Suppose 0 = -5*d + 455 + 95. Suppose 39 + 57 = 6*w. Calculate the remainder when d is divided by w.
14
Let y = 2 - 18. Let h = y - -19. What is the remainder when 30 is divided by 2 - (0 + (-27)/h)?
8
Let t(g) = 2*g**2 + 2*g - 5. Let y = -29 + 50. Let i = -9 + y. What is the remainder when t(-5) is divided by i?
11
Suppose 0 = -0*q - 5*q + 25. Suppose 0 = -7*c + 21 + 14. Suppose 4*o - 13 = -z, -2*z + 37 = 2*o - c*o. Calculate the remainder when z is divided by q.
2
Suppose 5*a - 138 - 672 = 0. What is the remainder when a is divided by 33?
30
Let c(d) = -d**3 + 20*d**2 - 17*d - 35. Let r(n) = n**3 - n**2 + 10. Calculate the remainder when r(0) is divided by c(19).
1
Let z = 71 + -50. Suppose -19*w - 9*w + 2268 = 0. Calculate the remainder when w is divided by z.
18
Let x = 181 + -67. What is the remainder when x is divided by 30?
24
Suppose 3*w - 460 = -5*h, -2*w + 63 = -5*h - 252. Calculate the remainder when w is divided by (810/21 - -1) + 44/(-77).
38
Suppose -4*a + 82 = 2*r, -a + 16 = -0*a - 4*r. Let u be 5*24/a + -2. Suppose -u*c + 177 + 43 = 0. Calculate the remainder when c is divided by 28.
27
Let w = -192 - -274. Suppose -3*o + w = -2*v, -o + 5*v + 34 = v. Calculate the remainder when 43 is divided by o.
17
Suppose 0*o - 18 = o + 4*v, 0 = -4*v - 20. Suppose -x + 0*x = 0, -2*w - o*x = -162. Let z(m) = 20*m**3 + m**2. What is the remainder when w is divided by z(1)?
18
Suppose 3*s + 174 = 8*s + 4*h, 0 = -s - 5*h + 18. Suppose 2*f - 3*t - 127 = 0, -4*f + 3*f = 2*t - 81. Calculate the remainder when f is divided by s.
33
Suppose 2*q - 4*l = -0*q - 6, 4*l + 59 = -3*q. Let j = q + 19. Suppose -48 = 2*d - 5*d - 2*s, -4*d - 3*s = -64. Calculate the remainder when d is divided by j.
4
Let q = 43 + -19. Let t = q + -21. Let d(k) = 2*k**2 + 4*k + 4. Calculate the remainder when d(-3) is divided by t.
1
Let y be 24/10 + 6/(-15). What is the remainder when ((-4)/(-6))/(y/60) is divided by 14?
6
Let p(q) be the second derivative of q**4/12 - 17*q**3/6 + 8*q**2 - 9*q. Let h be p(19). Let j = 81 - h. What is the remainder when 106 is divided by j?
25
Suppose 4*l = -3*o + 31, -o = 3 - 4. Suppose -8*v = -5*v - 81. Calculate the remainder when v is divided by l.
6
Let u(j) = j - 9. Let w be u(7). Calculate the remainder when 168/((-3)/(-1)) - -2 is divided by 61/3 - w/(-6).
18
Suppose 5*x - 4*p - 74 = 0, 0 = x + 4*p - 10. Suppose -3*a + 15 = 4*t, 144*a - 7 = -2*t + 143*a. Calculate the remainder when x is divided by t.
2
Suppose 0 = -7*k + 4*k + 93. Let w(a) = -a**3 + a**2 - a - 1. What is the remainder when w(-5) is divided by k?
30
Suppose q - 109 = -4. Suppose 0 = -22*w + 25*w - q. Let i(c) = 3*c**3 + 4*c**2 - 4*c - 1. What is the remainder when i(3) is divided by w?
34
Suppose 9*l - 1338 = 5*o, o = -10 + 7. Suppose 0 = -2*i + 7*a - 2*a + 25, 0 = -a + 5. What is the remainder when l is divided by i?
22
Let u = 8 - 10. Let t be 3 - (-3 - (u + 1)). Suppose 47 + 28 = t*q. Calculate the remainder when q is divided by 6.
3
Let d(o) = -o**3 - 9*o**2 - 4*o - 8. Let f(g) = -2*g + 17. Let u be f(-14). Suppose -u = 4*j + j. What is the remainder when 55 is divided by d(j)?
27
Suppose -4*r + 302 = 5*g, 141 = -4*g + 3*r + 395. Suppose -3*i = g - 323. Calculate the remainder when i is divided by 23.
18
What is the remainder when 252 is divided by (213/142)/((-3)/(-20))?
2
Calculate the remainder when 18/81 + ((-608)/18)/(-1) is divided by 4.
2
Suppose 43 = n + 5*g, n - 5*g + g - 88 = 0. Calculate the remainder when n is divided by 35.
33
Suppose 4*r + 5*y - 122 = 20, 5*y = -2*r + 76. Suppose -8 = w - r. Let g = -28 - -101. What is the remainder when g is divided by w?
23
Suppose 9*q - 15*q = -582. Let i(s) = 7*s - 22. Calculate the remainder when q is divided by i(6).
17
Suppose -22 = -4*w - 2*h, h - 2 - 2 = -w. What is the remainder when 198 is divided by w?
2
Let o(u) = u**2 - 2*u - 15. Let i be o(-10). Let c be -2*(310/(-4) - 4). Let x = c - i. Calculate the remainder when x is divided by 12.
10
Let r(n) = -n**3 - 3*n**2 + 2*n - 7. Let z be r(-4). Calculate the remainder when (z + -4 - -1) + 43 is divided by 15.
11
Let x = -635 + 727. Calculate the remainder when x is divided by 26.
14
Let y = 283 - 199. Calculate the remainder when y is divided by 15.
9
Suppose 258 = 7*x - 1009. Calculate the remainder when x is divided by 23.
20
Suppose 3*a - r = -6*r + 36, 3 = r. Let d(u) = u**3 - 40*u**2 + 39*u - 3. Let o be d(39). What is the remainder when a - (4 - (-1 - o)) is divided by 2?
1
Let n(y) = y**2 + 6*y - 32. What is the remainder when 286 is divided by n(-13)?
50
Suppose 3*q - 3 = 4*b + 7, -3*b = 3. Suppose q*r + d - 6*d - 299 = 0, -2*r - 2*d + 320 = 0. Let m = -108 + r. Calculate the remainder when m is divided by 25.
24
Suppose -107 - 257 = -4*l. Let v be (-63)/42*3/(18/(-16)). Suppose -5*i + l = 2*q, 4*i - v*q + 2*q = 80. What is the remainder when i is divided by 7?
5
Let l be ((-266)/21)/((-4)/6). Let s = l + -16. Suppose -2*i + 10 = 3*r, -3*i + 1 = r - 7. What is the remainder when s is divided by i?
1
Let b = 123 + 14. Let o = -69 + 52. Let g(y) = -y**3 - 18*y**2 - 19*y + 1. Calculate the remainder when b is divided by g(o).
32
Suppose -29*o + 1014 = -3*o. Calculate the remainder when 544 is divided by o.
37
Let h = 1002 + -941. Calculate the remainder when 851 is divided by h.
58
Let t = 146 - -206. Calculate the remainder when t is divided by 86.
8
Let m(r) = -r**2 + 5*r + 8. Let y(v) = -2*v**2 - 6*v + 1. Let g be y(-2). What is the remainder when 22 is divided by m(g)?
6
Let f = -53 - -77. What is the remainder when f is divided by 12?
0
Let r(c) = c + 22. Let k be r(-11). Let j(x) = -2*x + 27. Calculate the remainder when j(k) is divided by 4.
1
Let p = -115 + 234. Suppose -11*m + p = -4*m. Calculate the remainder when 169 is divided by m.
16
Let p = -14 + 19. Calculate the remainder when 75 is divided by 96/p + 10/(-50).
18
Suppose -103 = -5*r - 4*p - 29, -3*r = -4*p - 38. Suppose -14 = -3*c + b, -4*c = -4*b - 10 - r. Calculate the remainder when 24 is divided by 11 + c*2/(-4).
6
Let k = -229 + 364. Calculate the remainder when k is divided by 28.
23
Let a = -51 + 58. Let m(o) = 0 + o**3 - 18*o - 4*o**2 + 5 - 1. What is the remainder when 99 is divided by m(a)?
24
Let c be 3*(-7)/2*-4. Let m be 2/(-8) - c/(-8). Suppose -246 = -5*j - 4*s + 44, -m*s + 99 = 2*j. What is the remainder when j is divided by 17?
11
Let k(t) = -t**2 - 7*t + 7. Suppose 275 + 965 = 5*d. Suppose -4*y + 3*a + d = 0, -3*a + 118 = 2*y - 6*a. Calculate the remainder when y is divided by k(-5).
14
Let u(d) = 6*d**2 - 4*d - 23. What is the remainder when u(-4) is divided by 13?
11
Let t(p) = p**3. Let a(i) = 2*i**3 - 6*i**2 + 3*i + 6. Let b(j) = -a(j) + 3*t(j). Let z be b(-6). Calculate the remainder when 282/z + 2/4 is divided by 9.
6
Let k(x) = -13*x - 2. Let y(w) = 6*w + 1. Let l(p) = 6*k(p) + 11*y(p). Let h = -2180 + 2183. What is the remainder when l(-1) is divided by h?
2
Suppose -7 + 65 = 2*i + 3*a, -5*i