44 and (-758)/(-9) - (-98)/(-441).
924
Let h be 680/24*(-37)/3. Let x = h + 44669/126. Find the common denominator of 2 + -1 + (-226)/32 and x.
112
Let x = -36 - -87. Suppose -3*v = 5*i - 6*v - 69, -5*v = -3*i + x. Suppose -f = f - i. What is the least common multiple of f and 8?
24
Calculate the common denominator of (76/931)/(4/(-20)) and -48/259.
1813
Suppose 0 = -5*n - 4*q + 4850, -4*q = -4*n + 459 + 3457. Let c = n + -1865/2. Calculate the common denominator of c and 8/99*237 - (-2)/11.
6
Calculate the common denominator of 77/24 and (-1)/40*((-917)/(-21) + 1).
120
Suppose 0 = h + 3*r - 2 - 3, -5*h + 77 = 2*r. Calculate the least common multiple of (6 + -8)*(-1)/2 and h.
17
Let g(f) = f**2 + 7*f + 2. Let j be g(-6). Let l = -51/8 - -125/24. What is the common denominator of l and 2/j*(-40)/(-12)?
6
Let n = -31043 + 1490143/48. What is the common denominator of n and 93/8?
48
Let c be (-330)/(2/(2/(-1))) + 1. Let h = -8914/27 + c. What is the common denominator of h and -149/24?
216
Let p be (51/34)/((-1)/(-2)). Suppose -22 = -5*o + p*y, -5*y = 5*o - 2*y - 28. What is the smallest common multiple of 2 and o?
10
Let m(w) = w**3 + 11*w**2 + 3*w - 18. Calculate the lowest common multiple of 2 and m(-10).
52
Calculate the common denominator of ((100/56)/(-5))/(3/(-69)) and -33/194.
1358
Let x = 62/123 - 4495/1353. What is the common denominator of x and 46/33?
33
Let n be (-4)/(-2) - (-9358)/(-312). Let q = n - -209/13. Find the common denominator of 109/52 and q.
156
Let u = -373 - -411. Calculate the smallest common multiple of u and 42.
798
Let y(n) = -29*n + 222. What is the smallest common multiple of 196 and y(5)?
2156
Let s = -1562/15 + 554/5. Let t = 31019/10 + -3098. Find the common denominator of t and s.
30
Let d = 31123/5730 + 1/573. What is the common denominator of d and -19/36?
180
Let x(u) = u**2 - 29*u + 158. Calculate the smallest common multiple of x(5) and 38.
38
Let h = -22/109 - -8873/218. Calculate the common denominator of h and -3/22.
22
Let j be (-2 - 92/(-12))*3. Suppose 13*k - 24 = j*k. Calculate the least common multiple of -2 - k - 20/(-2) and 8.
56
Let y(b) = b**3 - 3*b**2 - 6*b - 6. Let m be y(5). Suppose m*h - 80 = 10*h. What is the smallest common multiple of 6 and h?
60
Let p = -71 - -32. Let v be ((-2)/(-3))/((-94)/(-8319)). Let k = v + p. Calculate the lowest common multiple of 4 and k.
20
Suppose 3*o - 4 - 11 = -3*h, 5*o - 1 = -2*h. Let c(i) = 37*i**3 - 3*i - 38*i**3 + 1 + 4*i**2 + i**2. Calculate the least common multiple of c(3) and h.
40
Let m = -117/2770 - 795431/137115. Let x = -82/11 - m. Find the common denominator of x and -89/16.
144
Let c = -474 - -3307/7. Calculate the common denominator of -79/56 and c.
56
Let g = 351 + -1778/5. What is the common denominator of g and (-33)/15 - 1/2?
10
Let v = -1794437/72 + 24924. Calculate the common denominator of 16/3 and v.
72
Suppose -14 = c - 2*k, -3*c - 2*c - 70 = -3*k. Let r = 0 - c. Let t(b) = -b**2 + 5*b + 2. What is the smallest common multiple of t(4) and r?
42
Calculate the common denominator of -17/80 and ((-464)/2175)/((-2)/(-21)).
400
Let f = 13 + -9. Suppose -f*o + 99 - 19 = 0. Suppose 11 + 16 = a + 3*q, -5*q + 15 = 0. Calculate the smallest common multiple of o and a.
180
Let v = -401 + 441. What is the smallest common multiple of 6 and v?
120
Let z = -11/20282 + 207951445/182538. Let w = z + -1141. Find the common denominator of -55/7 and w.
63
Let o = 632 + -1315/2. Let i = -25204/15 - -1681. Let h = 89/165 + i. What is the common denominator of h and o?
22
Let o = 292187/18 - 16226. Calculate the common denominator of 89/30 and o.
90
Let w = 957/1687 + 1/241. Let k = 1457/210 + 79/21. Calculate the common denominator of w and k.
70
Suppose 275 = 82*t - 77*t. What is the smallest common multiple of 99 and t?
495
Let n = -5 + 9. Suppose 4 + 8 = n*b. Suppose 2 = 2*s, -b*l - 4*s + 18 + 22 = 0. Calculate the smallest common multiple of 18 and l.
36
Let a = -3 - -37. Let w(u) = 4*u + 8. Let z be w(-6). Let i = z + a. What is the lowest common multiple of 12 and i?
36
Let h be (-4)/(-6) - 268/(-192). Let a = h - 487/48. Let x = -26/3 - 23/6. What is the common denominator of x and a?
12
Suppose 0 = 2*p - 6*p + 52. Suppose -l + 3*t = -19, -4*l + t = -p - 8. Let g = -11 - -17. What is the lowest common multiple of g and l?
12
Let x(j) = -j**2 - 14*j - 39. Suppose -8*z = 77 - 5. Calculate the smallest common multiple of x(z) and 15.
30
Find the common denominator of (-5 + (-7780)/(-1552))*(-28)/(-20) and 71/14.
2716
Let w = -104 + 113. Find the common denominator of -81/22 and w.
22
What is the common denominator of 2*(148/1147)/((-4)/(-2)) and -46/7?
217
Suppose -2*p + 5*h + 28 = 0, -6*p + 16 = -3*p - h. Let c = 47 + 41. Suppose c = p*t - 0*t. Calculate the lowest common multiple of 2 and t.
22
Let a(s) = -s + 2. Let b be 10 - 23 - (-2 + -1). Let x be a(b). Suppose -3*t + x = -12. Calculate the lowest common multiple of 20 and t.
40
Suppose -1 = -4*o + 4*u + 79, -37 = -2*o - u. Suppose -o - 87 = -2*l + t, 0 = 5*l + 5*t - 250. What is the least common multiple of l and 16?
208
Suppose -5*z = -8 - 2. Find the common denominator of -4 - ((-5)/10)/((-6)/(-654)) and 13/10 + (4 - z).
10
Let k(v) = 6*v + 5. Let u be k(-3). Let n(p) = p**2 + 12*p + 5. Let r(y) = y**2 + y - 2. What is the lowest common multiple of r(2) and n(u)?
36
Suppose -3*i + 128 = -2*u, -5*i + 125 + 87 = -4*u. What is the lowest common multiple of 4 and i?
44
Let n be ((-2)/(-8))/(182/(-1789760)). Let y = n - -2461. Find the common denominator of 61/9 and y.
117
Suppose 3*o - 53 = -5*g, 2*o = -0 + 2. Let u = -10 + g. Suppose 5*f + a = 11 + 16, u = f + 2*a. Calculate the smallest common multiple of 9 and f.
18
Let f = 5/411 + -4673/1233. Let x = 18/113 + -9415/226. What is the common denominator of f and x?
18
Calculate the common denominator of (249/(-2))/((-12)/8*-22) and -59/6.
66
Let v = -1158 + 24266/21. Find the common denominator of v and (-1)/2 - 194/36.
63
Suppose -5*c + 47 = -0*c - 3*b, 3*c - 5*b - 25 = 0. Calculate the least common multiple of c and 48.
240
Let z = 8383297/30 - 279513. Let o = z - -303/5. What is the common denominator of o and 7/10?
30
Suppose -25*d + 164 = -86. Calculate the lowest common multiple of 3308/24 + 2/12 and d.
690
Let m(b) = -b**2 - b - 5. Let v be m(-6). Let q = 51 + v. Suppose 6*p - 2*p - 56 = 0. What is the lowest common multiple of p and q?
112
Suppose -r + 36 = 4*i, 0*i = 5*i - 4*r - 24. Suppose -b = -i - 18. What is the common denominator of ((-1)/b)/(4/(-8)) and -20/11?
143
Suppose -3*w + 11*m = 8*m - 6426, 0 = w + 2*m - 2136. Let i = w + -19297/9. Calculate the common denominator of i and -35/12.
36
Let m(q) = 5*q - 2. Suppose 2*b - 5*k = 3*b - 12, k + 6 = 4*b. Calculate the least common multiple of m(b) and 2.
8
What is the lowest common multiple of -2 + 1/(4*(-5)/(-1860)) and 143?
1001
Let v = 22/197 - -28433/1182. Calculate the common denominator of (-5)/(-4)*(-154)/(-10) and v.
12
Suppose 37*g - 8534 = 346. What is the lowest common multiple of g and 240?
240
Let x be (-135)/54*14/5. Let k(h) = -h**2 - 8*h + 15. Calculate the smallest common multiple of k(x) and 12.
132
Let j(r) = -r**3 + 7*r**2 - r + 2. Let w be j(6). Suppose 4*y + 0*f - w = 3*f, -32 = -4*y + 2*f. Calculate the lowest common multiple of y and 12.
24
Let w be 46/(-8) - (0 + 6/24). Find the common denominator of 0/2 + 136/6 and (-1176)/90 - (10/w - -1).
15
Let j = 3811/8 - 475. Find the common denominator of 33/528 - 5/2 and j.
16
Let t(n) be the first derivative of -n**2 + n + 4. What is the lowest common multiple of 5 and t(-3)?
35
Suppose 5*d + j = 38, 0*d - 4*d + 19 = -3*j. Let a(k) = 7*k + 473*k**2 - 474*k**2 - 7 + 2*k. Calculate the lowest common multiple of 4 and a(d).
28
Let d = 329 - 245. Calculate the smallest common multiple of d and 18.
252
Let z(g) = 2*g**2 + 3*g**2 - 2 - 17*g + 18*g. Suppose 2*j + 8 = 28. What is the least common multiple of z(-2) and j?
80
Let u(d) = -d**3 + 50*d**2 - 96*d + 18. What is the lowest common multiple of u(48) and 332?
2988
Let p = 20244 + -546653/27. Let f = 5598 - 201637/36. Find the common denominator of f and p.
108
Let s(t) = -t**3 - 11*t**2 + t + 3. Let y be s(-11). Let i = 4 + y. Find the common denominator of (i