Calculate the remainder when x is divided by 18.
14
Let x(l) = 3 - 4*l**2 + l + 10*l**3 - 7*l**3 + 0*l**3. Let n be x(2). Suppose -23 = -3*k + 4*s, s - 5*s = -k + n. What is the remainder when 5 is divided by k?
0
Suppose -3*k + 598 = f, -f + 1186 = f + k. Suppose 0 = 4*a + 2*z - 1196, -f = -3*a + a + 2*z. Calculate the remainder when a is divided by 12.
10
Let p be 83*(3/2)/((-6)/(-4)). Suppose p = 10*z - 77. Suppose -2*r - 240 = -6*r. Calculate the remainder when r is divided by z.
12
Let n = -6575 + 6621. What is the remainder when 453 is divided by n?
39
Let b be (60/3)/5*(1 + 0). Calculate the remainder when 5*(b - (-3 + 1)) is divided by 8.
6
Suppose 0 = -z - 0*z + 34. Suppose 3*p - z = 32. Suppose r + 1 = 0, -4*r + 1 = -f + p. Calculate the remainder when f is divided by 3.
2
Suppose -2*c + 22*i - 21*i + 126 = 0, -i + 240 = 4*c. Calculate the remainder when 2060 is divided by c.
47
Suppose -42*n + 44*n - 268 = -5*j, -3*j + 4*n + 114 = 0. Let s = -201 + 350. What is the remainder when s is divided by j?
49
Let r = -16628 - -16649. Suppose -3*p + 16 = p. What is the remainder when r is divided by p?
1
Let k be (-3 - -24)*1/(-1). Let q = k - -13. Calculate the remainder when 106 is divided by (-214)/(-6) + -1 + q/(-6).
34
Suppose 3*o = 3*w + 13830, -2*w + 17617 - 3807 = 3*o. Calculate the remainder when o is divided by 96.
94
Let v = 8820 - 8775. Let y(i) = -3*i + 6. What is the remainder when v is divided by y(-6)?
21
Suppose -7*m + 9*m = 4*k - 2160, -4*k + 2166 = m. What is the remainder when k is divided by 16?
13
Let q(z) = -57*z + 6. Suppose -20 = -h + 4*m - 7, 3*m = -h - 15. Calculate the remainder when q(h) is divided by 36.
33
Let q(l) = -2*l**3 + 6*l**2 + 8*l + 9. Calculate the remainder when 1037 is divided by q(4).
2
Let g = -14157 + 14214. What is the remainder when 1/1 - (-222)/2 is divided by g?
55
Suppose h = 4 - 0. Let l(z) = -h - 18 - 3*z - 2. What is the remainder when l(-10) is divided by 4?
2
Let i be -8*2/(-8) - (2 + -2). Suppose 4*k - 5*m - 114 = 0, -m + 33 = i*k - k. Calculate the remainder when 52 is divided by k.
21
Suppose 43*w - 38*w - 161 = -3*n, -5*n = -w + 49. What is the remainder when 166 is divided by w?
30
Let u(b) = -36*b**2 - 5. Let w be u(2). Let r = w + 180. What is the remainder when 109 is divided by r?
16
Let q(s) = -16*s + 24. Let a(r) = -r**3 + r**2 + r - 7. Let u be a(0). Let c be q(u). Suppose 0 = 2*x - 2 - c. Calculate the remainder when x is divided by 14.
13
Let o = 163 + -53. Suppose -2*y - f - 763 = 0, 11*y - 15*y + 5*f = 1491. Let d = y + 417. Calculate the remainder when o is divided by d.
34
Suppose -48*x - 10500 + 35364 = 0. Calculate the remainder when x is divided by 158.
44
Let u(q) = q**3 + 5*q**2 - 15*q - 7. Let s be u(-7). Let g be -1*(-4)/(-6)*(-6 - s). Let f(j) = -6*j + 28. What is the remainder when 8 is divided by f(g)?
0
Let k(l) = -1392*l - 153. What is the remainder when k(-1) is divided by 611?
17
Suppose 0 = 3*a + 2*r + 2, -7*a - 8 = -5*a + 3*r. Calculate the remainder when (2 - (a + 4)/6)*2 is divided by 2.
0
Let f(a) = -422*a - 749. Calculate the remainder when 360 is divided by f(-2).
75
Let t(f) = 2*f**2 + 22*f + 123. Let y(a) = -6*a**2 - 62*a - 369. Let r(v) = 7*t(v) + 2*y(v). Calculate the remainder when r(-18) is divided by 57.
3
Let u = 618 - 468. Suppose -d - 30 = -6*d. Suppose y - d = 32. What is the remainder when u is divided by y?
36
Let g(l) = -l**3 - 23*l**2 - 26*l + 20. Let t(z) = -z**2 + 7*z - 34. Let i be t(4). Calculate the remainder when g(i) is divided by 11.
9
Suppose -135*x - 8646 = -146*x. Calculate the remainder when x is divided by 44.
38
Let u = 328 + -373. Let f = u + 49. Calculate the remainder when 50 is divided by f.
2
Let l(q) = q**3 + 12*q**2 - 4*q - 233. What is the remainder when 467 is divided by l(-9)?
7
Suppose 0 = 2*u + 3*u + 2*k - 9780, -5*u = -4*k - 9810. Let c be (-4)/(-20) + u/10. Calculate the remainder when 152 is divided by c/5 + 2/(-10).
35
Suppose -5*g + 5*j = -693 + 123, 5*g - 540 = -j. What is the remainder when 123 is divided by g?
14
Let g(p) = 3*p**2 - 2*p + 21. Let r be g(7). Suppose -12*n + r = -11*n. What is the remainder when n is divided by 82?
72
Let s = 20864 - 20821. What is the remainder when 4943 is divided by s?
41
Suppose -83*r + 869 + 376 = 0. What is the remainder when 3040 is divided by r?
10
Suppose -33*z + 57*z = 7800. What is the remainder when z is divided by 70?
45
Let t(f) = -f + 6. Let c(k) = -375*k - 5227. Calculate the remainder when c(-14) is divided by t(0).
5
Let j(w) = -108*w**3 - 10*w**2 + 52*w + 61. Calculate the remainder when 213 is divided by j(-1).
106
Let x = 118 + -104. Suppose -x*u + 41 = -57. Calculate the remainder when 101 is divided by u.
3
Let q = 133 + -172. Calculate the remainder when 34 is divided by (-2 - (-14)/6) + (-1079)/q.
6
Suppose -56*i + 28067 = 71*i. Calculate the remainder when i is divided by 41.
16
Let x = -52 + 120. Suppose 0 = 4*p - 0*r - 3*r - 11, 4 = 3*p + 2*r. Suppose 47 = p*g + q, 2*q - 9 - 13 = -g. Calculate the remainder when x is divided by g.
20
Suppose 8*h + 4*h - h - 275 = 0. Calculate the remainder when 138 is divided by h.
13
Calculate the remainder when -1665*(5680/(-4686) + (-6)/(-11)) is divided by 555.
0
Let x(v) be the second derivative of v**5/20 + 5*v**4/6 - 5*v**3/6 - 4*v**2 - 2*v + 20. What is the remainder when x(-8) is divided by 74?
12
Suppose 2*t + 58 = 3544. Suppose 8*a - 29*a + t = 0. Calculate the remainder when a is divided by 10.
3
Suppose 5*k + 15 = 5*u, k - 18*u = -16*u - 1. Let x(f) = -3*f + 3. What is the remainder when x(-6) is divided by (6/k)/((-174)/1160)?
5
Suppose -3*a + 421 = 142. Let h(v) = 10*v**3 - 6*v**2 - 22*v + 33. What is the remainder when h(3) is divided by a?
90
Suppose -l + 4 = 0, -87*l + 82*l - 346 = -3*y. Calculate the remainder when y is divided by 60.
2
Suppose 0 = -237*h + 2621 + 934. Calculate the remainder when 274 is divided by h.
4
Let g be (2 + 1)/(6/(-8)). Let l be 186/14 + (g/14)/1. Suppose 0 = -5*r + 97 + l. What is the remainder when r is divided by 5?
2
Suppose -5*c - 170 = -5*j, 0 = 39*c - 40*c. What is the remainder when 1019 is divided by j?
33
Let y(w) be the first derivative of w**3/3 + 2*w**2 + 17. Let g be y(-5). Suppose 3*d + 0*h - 30 = -g*h, 3*h = 0. What is the remainder when 27 is divided by d?
7
Suppose 5*d - 203 = -38. Let h(f) = -f**3 + 16*f**2 + 2. Let l be h(16). Suppose -l*b = 5 - 39. Calculate the remainder when d is divided by b.
16
Suppose 0 = -14*s + 19*s - 65. Suppose -5*x + s = -2. What is the remainder when x is divided by (6/8)/((-2)/(-8))?
0
Let r = -8361 + 8580. Calculate the remainder when 4142 is divided by r.
200
Suppose -3*o - 21*g + 234 = -17*g, 0 = 3*o + 5*g - 228. What is the remainder when 89 is divided by o?
3
Suppose 20*b = 22*b + 78. Let c = -30 - b. Suppose 0 = -14*q + 17*q - 159. What is the remainder when q is divided by c?
8
Let p(g) = -g**3 + 14*g**2 + 29*g + 46. Let z be p(16). What is the remainder when (0 - 1115/20)/(z/8) is divided by 8?
7
Let z be (-6)/(-15) - 312418/(-155). Suppose 23*x = -x + z. Calculate the remainder when 331 is divided by x.
79
Let r = 2612 + -2602. What is the remainder when 529 is divided by r?
9
Suppose 9*f - 364 = 7*f. Let k = -515 - -531. What is the remainder when f is divided by k?
6
Let t(c) = c**2 - 683*c + 491. Calculate the remainder when t(0) is divided by 381.
110
Suppose 3*y = 4*f - 130, -2*y + 669 = 673. Calculate the remainder when 143 is divided by f.
19
Suppose -3*o + 7 = -10*o. Let q be 39/6 - 2 - o/(-2). Calculate the remainder when 31 is divided by (-498)/(-42) - q - (-1)/7.
7
Let q = 8 + -4. Let z = -565 + 736. Suppose -q*f = 5*f - z. Calculate the remainder when 73 is divided by f.
16
Let u be -3 + -1 - 0 - 28/(-4). Suppose f + 21 = 3*g + 4*f, u*f = g - 11. Calculate the remainder when (3/6)/((-1)/(-92)) is divided by g.
6
Suppose -3*a - y - 18 = -7*a, -5*a = 3*y - 31. Suppose -a*d = -2*d - 3*h - 60, h + 100 = 5*d. What is the remainder when 25 is divided by d?
5
Let a = -1982 + 2132. What is the remainder when a is divided by 51?
48
Suppose 30*l = -5203 + 22393. Let h = l + -502. Calculate the remainder when h is divided by 17.
3
Let m = -337 + 338. What is the remainder when 136/(-4)*(m - 2) is di