 Let h = o + -14. Suppose 0 = 2*r - h - 7. Calculate the lowest common multiple of r and 1.
11
Let n = 891409/36 - 24764. Calculate the common denominator of 2/10 - 1963/3020 and n.
180
Let a(d) = d**3 - 6*d + 3. Suppose -n - 5*u = 22, -2*n - 27 = 5*u - 8. Calculate the smallest common multiple of a(n) and 10.
60
Let g(x) be the first derivative of 1/3*x**3 + 10 + x + 1/2*x**2. Calculate the smallest common multiple of 6 and g(-2).
6
Let k(m) be the second derivative of -m**4/12 + m**3/2 + 6*m**2 + 5*m. Let w be k(4). Find the common denominator of (-6)/w*(-49)/(-6) and 117/14.
56
Let y be (-2)/(-402)*1*2/(-44). Let h = -69656/42009 - y. Find the common denominator of h and 31/20.
380
Let w = 6282 - 376907/60. Calculate the common denominator of 47/12 and w.
60
Let k = -1897 - -1901. Let h = 13 - 6. What is the lowest common multiple of k and h?
28
Let k(t) = -t**3 + t**2. Let v be k(1). Let m(q) = -q**3 + q**2 - q + 20. What is the least common multiple of ((-6)/4)/((-33)/308) and m(v)?
140
Let m = 12028689173/666973559 - 370286/31519. Let f be -2 + 23/(2 - 2497/(-263)). Let h = m - f. Find the common denominator of -67/6 and h.
42
Suppose 2*k - t + 4*t = -37, -4*k + 4*t - 104 = 0. Suppose 6*r + 6 = 4*r. What is the lowest common multiple of r - (-2 + 2 + k) and 4?
20
Let c = 1829 - 18173/10. Let h = 24 + -56. What is the common denominator of c and (-6)/4 - (-488)/h?
20
Let v = -9412 - -16622. Let i be v/42 + 0 + 1. Let p = i - 1538/9. What is the common denominator of 57/4 and p?
36
Let w(z) = -6*z + 1. Let x(k) = k. Let i(v) = w(v) + 5*x(v). What is the smallest common multiple of (-1 - (2 - -1)) + 10 and i(-3)?
12
Suppose 0 = 2*r - r + 26. Let w = r - -30. Calculate the least common multiple of w and (-22)/3*3/(-2).
44
Let l = 17455/6 - 2917. Let k be (2/((-6)/9))/(-1). What is the common denominator of l and ((-1)/k)/((-6)/(-300))?
6
Let r(f) = -f**2 + 13*f - 15. Let g be 5/(-10)*1*-12. Calculate the least common multiple of r(g) and 2.
54
What is the common denominator of 1/(-3) + 831/(-72) and 1/316?
632
Suppose -2*o + d - 98 = -o, 2*o + d + 208 = 0. What is the lowest common multiple of 14 and 1/(2/o)*78/(-117)?
238
Suppose 5*q - 69 = -4*d + 60, 5*q = 4*d + 121. Suppose -5 - q = -3*m. Suppose 0 = 5*x + 8 - 28. Calculate the smallest common multiple of x and m.
20
Let c = 264 - 198. Calculate the smallest common multiple of c and 36.
396
What is the common denominator of -55/48 and 11994/(-5040) + (-22)/231?
240
Let d be 1*2/3*27. Let v = -11 + d. Suppose -4*j = 5*f, -19*f - 13 = -21*f + j. What is the lowest common multiple of v and f?
28
Let i be -1 + (-1 - (-4605)/8)*-1. Let l = 573 + i. Calculate the common denominator of l and -24/7.
56
Let t(w) be the first derivative of w**4/4 + 20*w - 1. Let g = -1087/1635 + -1/545. What is the common denominator of t(0) and g?
3
Let f = 3186 + -3184. Calculate the least common multiple of (1 - -18)/(1/3) and f.
114
Suppose l = -u + 4, 0*l + 5*l - 26 = -2*u. Let c(g) = g - 14. Let f(h) = -h + 13. Let o(k) = 6*c(k) + 7*f(k). What is the lowest common multiple of o(l) and 9?
9
Let z = -40 - -36. Let k(d) = d**2 + d - 6. What is the smallest common multiple of k(z) and 20?
60
What is the common denominator of -53/6 and 44/(-192)*23 - -4?
48
Let j be (-137 + 0)/(1/29). Let q = 55585/14 + j. Calculate the common denominator of q and (-2)/(-3) - (-262)/(-132).
154
Let v be 28/8*(-32)/2. Find the common denominator of (8/12)/(v/(-228)) and ((-2)/(-15))/(12/255).
42
Let t(r) = 102*r + 930. Calculate the lowest common multiple of t(-9) and (-2)/6 - 19/(-3).
12
Suppose 5*b + 0*b - 130 = 0. Let d = -17 + b. Calculate the least common multiple of d and 12.
36
Suppose 2*v + 9 = 3*v. Let l(b) = 13 - 5*b + 20 + 5*b - 2 - b. Calculate the lowest common multiple of l(v) and 18.
198
Suppose -a = -4*a + 39. Let t = 25 - a. Calculate the common denominator of (-2)/8 + 145/t and -143/6.
6
Let k = 153066820083/2686 - -62079101543887/1557880. Let y = -96835363 + k. Let r = 3/580 + y. Find the common denominator of 27/7 and r.
56
Let m(n) = -n**3 + 4*n**2 + 13*n - 3. Let j be m(6). Suppose -3*l = -j*k - 132, -2*k - 2*k + 16 = 0. What is the lowest common multiple of l and 12?
48
Let c = 205/9 + -6943/306. Let z = -86/85 - c. Find the common denominator of ((-6)/(-10))/(1 - (-396)/(-340)) and z.
70
Calculate the common denominator of 53/2 and (-342)/(-920) + 6/(-10).
92
Suppose 2*m + m = -3*s - 3, 3*s + 13 = 2*m. Suppose -11*r - 4*b = -8*r - 24, -r - b + 8 = 0. Calculate the least common multiple of -1 + -2 + 70/m and r.
32
Let n = 1051 - 727. Calculate the least common multiple of n and 16.
1296
Let c = -19 + 27. Let r(p) = 9 + 6*p - 21 - 3*p + 10. Calculate the lowest common multiple of r(2) and c.
8
Suppose 5*z - 3 + 23 = 0. Calculate the common denominator of 9*(1/10)/(z/(-56)) and 1/(-5) + (-828)/(-165).
55
Let k be (-1 - -1 - 2)/1. Let y(l) be the first derivative of -9*l**2/2 - 2*l - 24. What is the smallest common multiple of y(k) and 10?
80
Let s = 583039/924 + -6934/11. Find the common denominator of s and -7/24.
168
Let f = 1613 - 1541. What is the lowest common multiple of 288 and f?
288
Let j(y) = y**3 + 7*y**2 - 9*y - 6. Let k(o) = -113*o**2 - 3*o. Let l be k(3). What is the smallest common multiple of 24/9*l/(-24) and j(-8)?
114
Suppose -4*t + 12 - 4 = -5*i, 0 = 2*i + 8. Suppose 0 = -2*c + 2*a - 8, c - a + 19 = -3*c. Calculate the common denominator of 91/2 and c/(-10) + (-67)/t.
6
Let s(f) = -f**2 + 2*f + 3. Let z be s(4). Let b = z - -13. Calculate the common denominator of 65/18 and 85/9*(-4)/b.
18
Let b = -24 + 29. Suppose 0*o = -b*u + o + 26, 8 = -2*u + 5*o. Calculate the smallest common multiple of u and 50.
150
Let y(o) = 1390*o + 25. Let m be y(7). Let p = m - 1131523/116. What is the common denominator of -71/6 and p?
348
Let d be 35 + -6 - (-2 + 1). Suppose s = -4*m + d + 106, 0 = -3*m + 3*s + 102. What is the smallest common multiple of m and 12?
204
Suppose -3*n + l = -87, -n - 3*l - 2*l + 29 = 0. Let h = 47 - n. What is the smallest common multiple of -7 - (-4 - -5)*-11 and h?
36
Let k = -12055/132 - -912/11. Let o(p) = -19*p**3 + 3*p**2 + p + 4. Let x be o(4). Let q = -4573/4 - x. Find the common denominator of k and q.
12
Suppose 3*t = -3*r - 9, r - 5*t + 25 = -4*r. Let p = -13 - r. Calculate the common denominator of -31 and 2/16*(-852)/p.
6
Suppose -3*d + 2*h = d + 8, -4*h + 7 = d. Calculate the common denominator of 2/(-3)*(-82)/8 and d - (11/(-9) - -2).
18
Suppose -6*u = 2950 + 3920. Let r = u - -5683/5. Calculate the common denominator of r and -95/6.
30
Suppose 0 = 5*t + a - 0*a - 86, 4*a = -5*t + 74. Let h = -45 + 65. Calculate the least common multiple of h and t.
180
Let i = 42398/9 + -4719. Find the common denominator of i and 41/15.
45
What is the lowest common multiple of 54 and (-33)/(-9) - (-62)/(-93)?
54
Calculate the lowest common multiple of (134 + (-6 - -4))*2/4 and 186.
2046
Suppose -5*f - 3 = a - 7, 2*a - 8 = f. Suppose -3*w + 36 = 5*b, w + 8 = b + 2*w. Calculate the lowest common multiple of (a/(-3))/1*(-108)/144 and b.
6
Let p = 6049/14 - 483409/1120. Calculate the common denominator of 139/36 and p.
1440
Let m be (1580/15)/((-1)/12). Find the common denominator of 2/5*m/(-128) and ((-127)/(-24))/((-1)/(-2)).
60
Let x = -65 + 66. What is the least common multiple of x and 23?
23
Let s = -19/14 + 437/28. Find the common denominator of 6/((-1008)/(-903)) + -7 + 0 and s.
8
Suppose -47100 = 9*b - 8013. Let h = 34691/8 + b. Find the common denominator of -36/91 and h.
728
Let d be (5 - 2)/(3/3). Suppose 76 + 2 = -d*y. Let b = y + 109/4. Find the common denominator of b and 73/14.
28
Let r = -114/385 - -3232/5005. What is the common denominator of 4/325 and r?
3575
Calculate the common denominator of -97/196 and 8*5/(-60)*(-141)/(-32).
784
Calculate the smallest common multiple of 49 and 8/(-14) + 151/7.
147
Let y = -63 - -239. What is the smallest common multiple of y and 16?
176
Let y(g) = -4*g**2 + 4*g + 6. Let u be y(5). Let o = -593/8 - u. Let r = -8/1803 + 56053/36060. Find the common denominator of r and o.
40
Let t = -50179/20 + 2508. What is the common denominator of t and -133/90?
180
Let t = -4 + 24. What is the smallest common multiple of (-7)/(-70)*2 + (-1