 s(a) = 2*a**3 + 2*a**2 + 5*a + 3. Let n be s(-3). Suppose 5*t + 736 = 2*f, f + 302 = -2*t - 2*f. What is the common denominator of (3/n)/((-2)/t) and 46/7?
56
Suppose 203 + 85 = 4*r. Suppose a + 3*a = r. What is the lowest common multiple of 10 and a?
90
Let b = 35 - 61. Let a = -10 - b. Calculate the lowest common multiple of a and (-49)/(-4) - (-1)/(-4).
48
Suppose -q = -2*i - i + 4, 5*q - 2*i = -20. Calculate the lowest common multiple of 4 and (-2 + 3/2)*q.
4
Let u(f) = -2*f - 31. Let x(h) = 3*h + 47. Let o(i) = -8*u(i) - 5*x(i). Calculate the least common multiple of (1 + 1)/((-2)/(-8)) and o(-9).
8
Let h = 2 + -3. Suppose 6 = 3*b - 3. Let m = b - h. What is the smallest common multiple of 4 and m?
4
Suppose -5*j - 147 = d, -2*j = 3*j + 25. Calculate the common denominator of 91/6 and (d/(-16))/(10 - 12).
48
Suppose -3*n - 2*n = -435. What is the common denominator of 103/22 and (0 - n)/(-2*7)?
154
Let o(j) = -j**2 - 3*j. Let l be o(-3). Let n be (-3)/(-9)*(8 - -1). Suppose l + n = 3*a. What is the least common multiple of 9 and a?
9
Let f = -6553/10 - -652. Calculate the common denominator of f and -16/23.
230
Suppose -x - 3 + 0 = 0. Let o be 2/x + (-15982)/12. Let y = 1366 + o. Calculate the common denominator of y and 91/4.
4
Suppose 5*r = 10 + 45. Let d = r - 10. Calculate the least common multiple of 6 and d.
6
Let y(k) = -8*k**2 + 11*k + 3. Let a = 4 + 2. Let t(f) = -9*f**2 + 12*f + 3. Let n(j) = a*t(j) - 7*y(j). Calculate the least common multiple of 6 and n(5).
66
Find the common denominator of (-6)/(-28)*(-67)/3 and 27/4.
28
Let y = -94 + 270. Find the common denominator of 8/(-44) + 54/y and -51/7.
56
Suppose 0*o - 2*o - 2*p + 4 = 0, -5*o - 2*p = -7. Calculate the least common multiple of 11 and o.
11
Let n = -1 - -2. Suppose -2*k + 38 = 3*k + 3*i, -k + 10 = 3*i. What is the least common multiple of k and n?
7
Let j(b) = 3*b**3 + b**2 - 2*b + 2. Let g be j(2). Suppose g = o - 4*i, 0 = -i - 3*i - 8. Calculate the lowest common multiple of o and 10.
90
Let l = 572 - 3575/6. What is the common denominator of l and 79/6?
6
Let g = 21 + -13. Suppose 3*t - 60 = -15. Suppose 1 + t = 2*c. What is the smallest common multiple of g and c?
8
Suppose d = -5*n - 1 - 5, -14 = -4*d - n. Suppose -5*s + s = -d. Let a = s + 4. What is the least common multiple of 10 and a?
10
Let l = -1/473 - -15619/4730. Find the common denominator of l and (-9)/90 + 538/80.
40
Suppose 0 = -0*l - 3*l + 27. What is the lowest common multiple of 2 + (4 - (0 - -2))/1 and l?
36
Suppose -6*s + 4*s + 68 = 0. Suppose 0 = 4*f - s + 2. What is the smallest common multiple of 16 and f?
16
Let s(h) = h**2 + 9*h + 5. Let j be s(-9). Suppose 252 = 4*g + j*c, -5*c - 28 = -2*g + 128. Let i = g - 48. Calculate the smallest common multiple of i and 4.
20
Suppose 44*b - 147 = 41*b. What is the least common multiple of b and 9?
441
Calculate the common denominator of 32/11 and -19 + -11 - 0/(-1).
11
Let l = 27731/2370 + -1/1185. Let j = 6 - 11. Find the common denominator of (j/21)/((-3)/18) and l.
70
Let y(v) = 3*v + 1. Suppose 0 = -2*l + 3*l - 1. Suppose l = -2*k + 29. What is the least common multiple of y(1) and k?
28
Suppose n - 4*p - 13 = 0, 26 = 3*n + n - 3*p. Suppose n*u - 47 = 63. Calculate the smallest common multiple of 18 and u.
198
Let w = 64 + -37. Let m = w - 18. Calculate the lowest common multiple of m and 7.
63
Suppose 0 + 6 = -3*u. Let k be ((-56)/(-1))/(u/2). Let v = -36 - k. What is the lowest common multiple of 20 and v?
20
Let f(p) = p**2 + 4*p + 6. What is the least common multiple of 22 and f(-4)?
66
Suppose 5*c - 4 = -3*k - 15, 2*k - c = -3. Find the common denominator of -29/15 and (-182)/(-16) + 6/k.
120
Calculate the least common multiple of 3 and (1/(-3))/(2/(-66)).
33
Let w be ((-6)/15)/(8/240569). Let t = -12023 - w. Let y = 104117/20 + -5204. Find the common denominator of y and t.
20
Let j = 6 - 12. Let t be 2/4 - (-123)/j. Calculate the common denominator of -12/5 and (28/15)/((-24)/t).
45
Let k(s) = -16*s + 2. Let o be k(-3). Let i be o*(-1 - (-1 + -1)). Let c = -34 + i. What is the least common multiple of 6 and c?
48
Let y(h) = 3*h - 14. What is the lowest common multiple of 11 and y(8)?
110
Let p(r) = r**2. Let z be p(0). Suppose u + 3*n = z, 4*u + n = u + 8. Calculate the least common multiple of u and 3.
3
Calculate the smallest common multiple of 88 and (-3*4/6)/(1/(-6)).
264
Let x = -4747 - -47357/10. Find the common denominator of x and 32/7.
70
Let i = -19 + 20. What is the least common multiple of i and 8?
8
Let i(d) = 3*d + 8. Let l be i(8). Let w = 47 - l. Suppose -5*v + 0 = -w. Calculate the smallest common multiple of v and 2.
6
Suppose 4*i + 15 - 43 = 0. Let g(c) = c**3 + 11*c**2 - 11*c + 23. What is the least common multiple of i and g(-12)?
77
Let l(n) = -2 - n**3 + 3*n + 0*n**3 + 2. What is the lowest common multiple of l(-2) and 6?
6
Let l = -12031 - -240529/20. Calculate the common denominator of 105/22 and l.
220
Let z = -863 - -1637/2. Calculate the common denominator of z and -41/8.
8
Let v be ((-129)/(-3))/((-2)/6). What is the common denominator of -69/10 and (-6)/4*v/(-54)?
60
Let w be ((-3)/570)/(2/(-526)). Let i = 668 + -12686/19. Let b = i + w. Find the common denominator of b and -21/8.
40
Let v = -286559/20 + 14323. Let u = -11119 - -2488. Let o = u - -172523/20. What is the common denominator of v and o?
20
Let h(d) = -d + 15. What is the least common multiple of h(12) and 17?
51
Let j = 1/1542 + -67081/6168. Find the common denominator of j and (-6 - -3) + 14/(-36).
72
Let l = 0 + 3. Suppose -o - 20 = l*o. Let t = -1 - o. Calculate the smallest common multiple of 11 and t.
44
Find the common denominator of 13/4 and (-4)/8*57*16/18.
12
Let w = 51/31 + 861/155. Find the common denominator of (-572)/363 - (-2)/(-6) and w.
55
Let t(f) = -f**2 - 7*f + 10. Let s be t(-8). Suppose 2*n = -s*n + 24. Calculate the lowest common multiple of n and 22.
66
Let f(h) = -24*h - 6. Let y be f(-4). Find the common denominator of (y/(-22))/3 + -2 and -73/2.
22
Let y = -5422667 - -49062943/9. Let i = -28814 + y. Let h = -403/9 - i. Calculate the common denominator of 19/4 and h.
36
Find the common denominator of ((-2)/44)/(1/105) and 49/140 - (2 + -1).
220
Let m = 6 - -5. Suppose 5*s = s. Suppose s*h + 36 = 4*h. Calculate the least common multiple of h and m.
99
Let p = 10 - 10. Let d = 0 + 4. Suppose p = -5*y - 20, d*y = 2*q - 15 - 21. What is the smallest common multiple of 2 and q?
10
Let w be 10/55 + (-845066)/132. Let y = 6381 + w. Find the common denominator of 53/2 and y.
6
Let b = -3 + 3. Suppose 0*y + y = b. Suppose -5*h - 4*m = -y*m - 56, -3*h - 5*m = -44. Calculate the least common multiple of h and 12.
24
Let d = -341689/24 + 14233. Calculate the common denominator of 103/6 and d.
24
Let c(w) = w**3 - 5*w**2 + w + 6. What is the smallest common multiple of ((-10)/(-4))/(-3*(-5)/30) and c(5)?
55
Suppose -c - 2*z + 96 = 0, 237 - 4 = 3*c - 5*z. Calculate the least common multiple of c and 18.
774
Let o = -10 - 2. Calculate the common denominator of (-17)/11 + 1 + 0 and (57/o)/((-2)/(-6)).
44
Let z be ((-5)/17)/(12/(-1438)). Let c be (-24)/(-17) - ((-10)/(-15) + 0). Let l = c - z. Calculate the common denominator of l and -19/20.
20
Let h = -2021561 - -16139235/8. Let d = h + 4145. Let a = 3/161 + 4499/483. Find the common denominator of d and a.
24
Suppose -l = -5*d + 5 + 4, -2*l + 6 = 2*d. What is the lowest common multiple of 16 and (l - -20) + (-4)/4?
80
Let l(n) = 9*n - 18. Let r be l(8). What is the common denominator of 89/8 and r/120*(-46)/3?
40
Suppose 2*s - 2 = 0, -9 = 3*q + 5*s - 56. Let z(j) = 0 - j**2 + 2*j + 7 + 2*j**2. What is the lowest common multiple of z(-5) and q?
154
Let c be ((-12316)/(-38))/(22 + 2). Let r = -388/19 + c. Find the common denominator of 15/8 and r.
24
Let j = -72 - -1082/15. Find the common denominator of -24 and j.
15
Let u be (-254)/40*(-12044)/4. Let y = 19124 - u. What is the common denominator of y and 67/10?
20
Let r = 57 + -32. Let s = r - 17. Calculate the least common multiple of s and 7.
56
Let t = 5 + -5. Suppose 5*f = 2*s - 39, t = 3*s + 2*f + 2*f - 1. Let d(w) = -w - 1. Calculate the lowest common multiple of d(-3) and s.
14
Let f(r) = -r**2 - 5*r - 2. Find the common d