 the remainder when w is divided by 540?
31
Let f be (-51)/(-15) - 9/(-15). Suppose f*o + 5*i = 195, 204 = 4*o - 4*i - 0*i. What is the remainder when o is divided by 18?
14
Suppose -4*w + 8 = -4*m, 2*m + 2*w + w + 19 = 0. Let i be (-1420)/(-100) + 1/m. Let r = 25 + i. Calculate the remainder when 115 is divided by r.
37
Suppose 2*f = 2*x + 2085 - 2223, 5*x + 4*f - 273 = 0. Let d = 51 + -24. Let z = d + -5. What is the remainder when x is divided by z?
17
Let j(r) = -r**3 - 106*r**2 - 111*r - 616. What is the remainder when 484 is divided by j(-105)?
8
Suppose 82*s + 6195 = 25219. Calculate the remainder when 523 is divided by s.
59
Let z(f) = -f**2 - 4*f - 3. Let k be z(-1). Let i be 2 + (-3)/3*(k - 0). Suppose -34 + i = -4*n. What is the remainder when 52 is divided by n?
4
Calculate the remainder when 2/(216/2943*(-3)/(-12)) is divided by 5.
4
Suppose 12 = 2*h + 2. Let l(v) = 100*v**2 - 30. Let i(k) = 43*k**2 + k - 15. Let q(m) = 7*i(m) - 3*l(m). Calculate the remainder when q(h) is divided by 23.
22
Suppose 0 = -8*i - 25 + 17. Let z(m) = 237*m**2 + 12*m + 13. What is the remainder when z(i) is divided by 12?
10
Let w(s) = -106 + 9*s - 106 + 18*s + 26 + 22. Calculate the remainder when w(13) is divided by 64.
59
Suppose 11*s + 1 - 1 = 0. Suppose s = 6*t - 3*t + 15, -o - 3*t = 4. Let k = -120 - -174. What is the remainder when k is divided by o?
10
Suppose 27*m - 31*m + 196 = 5*d, m + d - 49 = 0. Calculate the remainder when 264 is divided by m.
19
Suppose -1715 = -26*l + 677. Calculate the remainder when 2481 is divided by l.
89
Let s(r) = -r**2 + 231. Let x = -12955 + 12961. What is the remainder when s(0) is divided by x?
3
Suppose -5*i + 15 = 4*r, 8*i - 13*i = -r - 15. Let p = 143 + i. What is the remainder when p is divided by 50?
46
Let p(h) = 55*h**2 - h. Let t be p(1). Let z = t - 54. Suppose -5*i + 137 - 17 = z. Calculate the remainder when i is divided by 13.
11
Calculate the remainder when 198 is divided by (2*5/(-20))/(1/2)*-101.
97
Let i = -11407 + 11729. Calculate the remainder when i is divided by 163.
159
Suppose -2*n + n + 12 = 0. Suppose 9*k - 24*k = 30. What is the remainder when k*(-6)/12*22 is divided by n?
10
Calculate the remainder when (-7)/((-140)/4404) - (-7 - 0)/(-35) is divided by 81.
58
Let o be (-65)/(-9) - (-6)/(-27). Let n be -1 - 1 - (o - 9). Suppose 0 = -n*l - 3*l + 84. Calculate the remainder when l is divided by 5.
3
Suppose 0 = -4*y + 4*x + 244, -4*y - 4*x + 129 = -131. What is the remainder when 4597 is divided by y?
61
What is the remainder when (-30)/4*(-2242)/95 is divided by 132?
45
Let l(i) = -3*i**3 + 252*i**2 + 7*i + 21. Calculate the remainder when l(84) is divided by 604.
5
Let d = -36981 + 37052. Suppose 3*w - 4*b - 118 = 0, -2*w + b = 3*w - 191. What is the remainder when d is divided by w?
33
Let a = -1743 - -1978. What is the remainder when 3759 is divided by a?
234
What is the remainder when (-4644)/(-24)*(-26)/(-39) is divided by 6?
3
Let t(o) = -768*o + 8568. Calculate the remainder when t(11) is divided by 57.
6
Let j = 146 + -160. What is the remainder when 140 - j*(-4)/(-8) is divided by 51?
45
Let f(i) = 10*i - 6. Let v be f(5). Let k = v + -28. Suppose -13*j + k*j = 36. What is the remainder when j is divided by 7?
5
Let j(b) = b**2 - 12*b + 15. Let g be j(11). Suppose g*h - 5*y + 12 = 0, -3*h - 3*y + 22 = 2*h. What is the remainder when (232 + (0 - 2))/h is divided by 29?
28
Suppose -106*p + 369*p = 4121 + 5610. Calculate the remainder when 305 is divided by p.
9
Suppose 0 = -3*a + 227 + 772. What is the remainder when a is divided by -19 + -3*(-1159)/57?
39
Let l = -6 - -16. Suppose 3*v = l*v + 21. What is the remainder when v/6 - (-1 - (-44)/(-8)) is divided by 4?
2
Let a(k) be the second derivative of k**5/20 - 11*k**4/6 + 22*k**3/3 - 49*k**2/2 - 17*k + 3. What is the remainder when 58 is divided by a(20)?
27
Suppose 3*b = -5*l - 1, -8*b + b = 3*l - 15. Suppose 2*i + 5*t - 18 = 0, t - 12 - b = -i. What is the remainder when 53 is divided by i?
15
Let m(r) = -r**3 + r**2 - r + 3. Let n be -2*1/2 - -1. Suppose n = 2*l + 1 - 5. What is the remainder when m(0) is divided by l?
1
Let y(c) = 4*c**2 - c + 1. Let u = 23 + 645. Suppose -12*v + 8*v = -u. Calculate the remainder when v is divided by y(3).
31
Let n = 1668 - 1641. Suppose 3*d = -3*k - 15, -4*d = 2*k + 6 + 14. Calculate the remainder when (3 + k - 0) + 102 is divided by n.
24
Let l(f) = 18*f**2 + 456*f + 69. Calculate the remainder when l(-28) is divided by 24.
21
Let p be ((206 - -2) + -1)*-1. Let m = -191 - p. What is the remainder when m is divided by (6 - -2) + (0 - -1)?
7
Let a be (69/6 + -7)/(1/6). Suppose 0 = a*r - 18*r - 1179. What is the remainder when r is divided by 69?
62
Let i = 674 + -604. Let z = 148 - i. What is the remainder when z is divided by 22?
12
Let y = -396 + 419. What is the remainder when 872 is divided by y?
21
Let w(v) = -v**2 + 15*v + 31. Let s be w(15). Suppose -s*g + 146 = -412. Calculate the remainder when 357 is divided by g.
15
Suppose 3*k + 271 = 5*f, 3*f - 2*k - 174 = -4*k. Suppose 176 = r - f. Calculate the remainder when r is divided by 39.
37
Let r(g) be the second derivative of -g**4/12 + 35*g**3/6 - 13*g**2/2 - 42*g + 2. Calculate the remainder when r(11) is divided by 15.
11
Calculate the remainder when (-13836)/(-36) - (-6)/9 is divided by ((-43)/3)/((-27)/81).
41
What is the remainder when 377 is divided by (7 - (2 + 2)) + 175?
21
Let a = 4838 - 4583. What is the remainder when 541 is divided by a?
31
Let b(z) = z**3 - 17*z**2 + 47*z - 195. Calculate the remainder when 631 is divided by b(17).
27
Suppose 4*o + 3*n = 3647, -11*o = -12*o - 2*n + 908. Calculate the remainder when o is divided by 6.
2
Suppose -4*b + 244 = g, 0 = 3*g - 11*b + 16*b - 739. Calculate the remainder when g is divided by 111.
26
Suppose 2*m + 9 + 20 = 3*x, -3*x + m + 22 = 0. Calculate the remainder when 1248 is divided by x.
3
Let r(a) = -18*a**2 + 2518*a + 332. Calculate the remainder when 672 is divided by r(140).
48
Suppose -63 = -r - 3*m, 2*r + m = 25 + 101. Let o(h) = h**2 - 65*h - 452. What is the remainder when o(-8) is divided by r?
6
Let z(f) = 5*f**2 + 2*f**2 + 2 + 9 + 2*f**2. What is the remainder when z(-3) is divided by 32?
28
Suppose -8*x + 293 = -379. Suppose -215*v + 211*v = -x. Calculate the remainder when 97 is divided by v.
13
Suppose 298*w - 217*w - 1539 = 0. What is the remainder when 53/2 - (-3)/6 is divided by w?
8
Let w = -481 + 572. What is the remainder when w is divided by 44?
3
Suppose 3*j - 105 = -5*u, -13*j + 585 = 2*u + 71. Calculate the remainder when 550 is divided by j.
30
Let a(r) = -42*r + 105. What is the remainder when 214 is divided by a(0)?
4
Let j(t) = -19*t + 71. Let k(h) = -h + 2. Let a(d) = -j(d) + 5*k(d). Calculate the remainder when 147 is divided by a(8).
45
Suppose -h - 44 = 3*h. Let q = -277 - -302. Let t = q + h. What is the remainder when 47 is divided by t?
5
Let x(y) = 9*y + 42. What is the remainder when x(8) is divided by (8 - (26 - 10)) + 43?
9
Suppose 3*q - 5*p = 39, -q - 52*p + 56*p - 1 = 0. Calculate the remainder when 1123 is divided by q.
19
Suppose 37*l + 3*f = 32*l + 729, 5*f + 101 = l. Suppose -63 = -3*n + 3*p, -n - 2*p + 9 = p. What is the remainder when l is divided by n?
15
Suppose -3*a - 522 = -6*a. Suppose 0 = -3*k + 5*c + 45, -2*c = 93*k - 94*k + 13. Calculate the remainder when a is divided by k.
24
Suppose -4*t + 183 = v, -4*v - 188 = -100*t + 96*t. What is the remainder when 3173 is divided by t?
45
Let q = -3908 - -4995. What is the remainder when q is divided by 538?
11
Let x = 53 - 58. Let h be 2425/125 + 2/x. Suppose 4*a + 1 - 2 = -t, 4*a + h = 3*t. What is the remainder when 13 is divided by t?
3
Suppose f - z - 2 = 24, 4 = 4*z. Suppose -5*j = -5*n + 385, 2*j - n + 160 = 9. Let m = j - -126. Calculate the remainder when m is divided by f.
25
Let h = 17 - 8. Suppose -h*d + 6946 = 14*d. What is the remainder when d is divided by 18?
14
Suppose 4*n + 3*m = -n + 101, m = 2*n - 47. Suppose 3*k = 5*l - 67, -6 = l + 5*k - 25. What is the remainder when n is divided by l?
8
Let f(x) = x**3 - 23*x**2 + 21*x + 27. Let g be f(22). Suppose g*h + 15 = -2*p + 94, -3*h = p - 38. Calculate the remainder when 186 is divided by p.
45
Let a(l) = 2