8568
Let h(x) = -3*x**3 - 87*x**2 - 8*x - 64. Calculate the least common multiple of h(-29) and 448.
1344
Let o be ((-2)/(-4))/((-7)/70). Let v be 1230/o*-2*(-1)/(-2). Suppose 5*k - x = v, x - 2*x + 97 = 2*k. Calculate the common denominator of -53/2 and k.
2
Let u = 18594 + -18412. What is the least common multiple of 416 and u?
2912
Calculate the common denominator of (2/4 + 16758/(-1140))*2/(-740) and -14/1665.
16650
Let s(g) = 29*g + 3. Let v be s(-7). Let z be (-20 - -25)*162/15. Calculate the smallest common multiple of (z/(-15))/(12/v) and 20.
60
Let j = -457437/4 + 114933. Let k = -551 + j. Find the common denominator of -95/14 and k.
28
Let f = -377887/10 - -37779. Let m = -1/3578 + -84075/28624. Find the common denominator of f and m.
80
Calculate the lowest common multiple of 572 - ((-170)/(-17) - 5) and 252.
2268
Let p = -7 + 10. Suppose 9*t + 8 = -v + 5*t, -v + t + 17 = 0. What is the smallest common multiple of (-9)/(p/60*-6) and v?
60
Let y = -6 - -11. Let o(c) = 82 + 4*c - 35 - 13*c. What is the smallest common multiple of y and o(4)?
55
Suppose 0 = -12*j + 4*j + 576. Let s = j + -37. Let r = s - 25. Calculate the lowest common multiple of 18 and r.
90
Suppose -303 = 6*k - 1323. Let h(q) = k*q**3 + 5 - 3*q - 171*q**3 - 12*q**2 - 5*q**2 - 14*q. Calculate the least common multiple of h(-16) and 21.
21
Let h = 15665/561 - 294/11. Calculate the common denominator of h and -5/18.
306
Calculate the smallest common multiple of (0 - -28)/(((-2730)/(-160) - 10) + -7) and 140.
2240
Let g = 1027415/72 - 14269. Find the common denominator of 43/243 and g.
1944
Let i(t) = 39*t + 30. What is the smallest common multiple of i(6) and 14/(-196)*-7*12?
264
Let x = 90625 + -90615. Let z = -59 - -93. What is the smallest common multiple of x and z?
170
Suppose 57*i + 3060 = 142*i. Calculate the least common multiple of i and 250.
4500
Let t = -122 + 160. Suppose -4*d - 479 = 5*f, 58 + t = -f - d. Let m = 104 + f. Calculate the lowest common multiple of m and 9.
9
Let r be 2*6/(-60) - 62/(-10). Let v be (17908/222)/((-2)/r*-2). Let u = -91 + v. Calculate the smallest common multiple of 30 and u.
30
Let n(d) = -9*d**2 - 7*d - 5. Let y be n(-2). Let s = -24 - y. Find the common denominator of 29/3 and 18*(s + 404/(-132)).
33
Let b = -2/185 + 10921/555. Let p = 49085861/15 - 3274115. Let f = -1725 - p. Calculate the common denominator of b and f.
15
Suppose 10*h = -41*h + 22287. What is the least common multiple of 46 and h?
874
Let i(z) = -12*z**3 + z**2 + 2*z + 4861. What is the smallest common multiple of 11 and i(0)?
53471
Let q = -768269/199540 - -2/9977. Calculate the common denominator of q and 85/582.
5820
Let u = -5995 - -6645. What is the least common multiple of 1300 and u?
1300
Let j = -8 - 41. Let k = 154/17 - 1619/68. Find the common denominator of 14/j + 2 + 7239/(-2520) and k.
120
Let z(j) = -j + 14. Let s be z(10). What is the least common multiple of -1*s/2 + 13 and 7?
77
Suppose 0 = 2*f - 3*c - 40, -22*f - 41 = -23*f + 5*c. Let x(h) = -h**3 - 5*h**2 + 3*h + 4. Calculate the lowest common multiple of x(-6) and f.
22
Calculate the smallest common multiple of (-12)/14 + (-6)/(-14)*120/18 and 607.
1214
Let i = 10 - 0. Let r = -223 + 299. Suppose -7*h + 3*h = -4*j - r, 2*j + 60 = 3*h. What is the least common multiple of h and i?
110
Let n(p) = p**3 + 15*p**2 + 24*p - 39. Let q be n(-12). Let w = -69 + q. What is the lowest common multiple of w and 1?
36
Calculate the common denominator of ((-5)/6 + 1)*-19 and (0 - 412/(-6))/(-5 + 9).
6
Find the common denominator of -6 + 590/84 + 120/(-14) + 8 and 211/1260.
1260
Suppose -m = -0*m + 2*f + 2, 0 = 5*m + 2*f - 22. Suppose 57*g = -51838 + 16897. Let z = -606 - g. What is the smallest common multiple of m and z?
42
Suppose -52226 + 15682 = -4568*m. Let b = -9 - -13. Suppose -b*s - 2 + 10 = 0. What is the lowest common multiple of m and s?
8
Suppose -3*l + 1248 = -2070. Suppose -14*n = 152 + 44. What is the smallest common multiple of 4/n - l/(-98) and 1?
11
What is the common denominator of ((-134)/(-25))/(60/50) and -6/5?
15
Let l(m) be the third derivative of m**6/120 + m**5/10 - m**4/24 - 11*m**2. Let f = 445 + -443. Calculate the smallest common multiple of f and l(-6).
6
Let s = -253261/68 + 3724. Let l = 122825/14 + -8768. Find the common denominator of s and l.
476
Let i be (1 + -18)/((-43)/(-817)). Let y = 341 + i. What is the smallest common multiple of y and 4?
36
Let q(u) = -53*u + 221. Let d(g) be the second derivative of 4*g**3 + 3*g. What is the lowest common multiple of q(4) and d(1)?
72
Let n = 1873 - 44971/24. Calculate the common denominator of n and (-4)/3 - 57/(-81)*2.
216
Let h = 122 - 47. Let o = 83 - h. What is the common denominator of -167/42 and (22/o)/(((-245)/(-10))/(-7))?
42
Let t = 9783 + -391277/40. Let k = -12197 + 426833/35. What is the common denominator of k and t?
280
Let r = 2 - 5. Let q be ((r/(-18))/(-1))/((-1)/(-7081)). Let u = q - -1183. Calculate the common denominator of -19/18 and u.
18
Suppose 3*o - 5*s - 24 = 0, 6*s = 11*s. Suppose -o = 5*t - 48. Find the common denominator of 39/t - 1 - 4 and -4/5.
40
Find the common denominator of ((-55)/44)/((-13)/(-143)) and 58/(-13) + 4 - 1.
52
Let o = -25418 - -15123716/595. Calculate the common denominator of o and -44/85.
595
Let k be (-4 + 60)/(-8) + 61. Suppose -4 = 10*p - k. What is the smallest common multiple of p and (-4)/(-14) + 498/21?
120
Let a = 9 - -1. Let f = 10567/6 - 95089/54. What is the common denominator of (238/150)/((-4)/a) and f?
270
Let q be (-5 + (-78)/(-12))/(6/(-4)). Let f(v) = -11*v**3 - 4*v - 3. What is the smallest common multiple of f(q) and (24/5)/((-2)/(-10))?
24
Let k = -404/3 - -3205/24. What is the common denominator of (8585/1616)/(2/8) and k?
8
Suppose -3*x + 34 = 4*w, -15*w + 10*w + 3*x + 29 = 0. What is the least common multiple of 10*(-64)/(-20) - w and 9?
225
Suppose 3*l - o = 66, -3*l - 130 = -4*o - 196. Calculate the smallest common multiple of 2944 and l.
32384
Calculate the least common multiple of (-1470)/(-441)*36/5 and 384.
384
Let j(l) = -l**2 + 58*l - 733. Let u = -6 - -10. Suppose u*h + 4*r - 19 = h, -2*h + 3*r + 7 = 0. What is the least common multiple of j(19) and h?
40
Let a be (-7764)/(-96) - (-2)/16. Let o = a + -80. Calculate the common denominator of -93/14 and (-1)/(-3) - o/((-90)/(-245)).
126
Suppose -3153 = 9*k + 28086. Let a = 20705/6 + k. Let c = -163975/12 + 13656. Find the common denominator of c and a.
12
Let s = 53/574 - 42433/43050. Let q = -18143 - -725659/40. Find the common denominator of s and q.
600
Suppose 4*z - 5*f = 110, -4*z + 0*z + 4*f = -112. Let y be 10/14 + -1 - 30384/(-504). Let i = y - z. What is the smallest common multiple of 14 and i?
210
Let t(g) = -1473*g - 189. Let q be t(-20). What is the common denominator of -19/15 and (q/(-252))/(-11) - (-3)/(-21)?
60
Suppose -25 + 55 = -6*s. Find the common denominator of (3 - 28)/s - 68/80 and -151/24.
120
Calculate the common denominator of (-14)/(-144)*(-13)/21658*-51 and 19/384.
2688
Suppose 18*y - 1785 = y. Let k = y + -101. What is the smallest common multiple of (8 - -2)/(1 - 0) and k?
20
Suppose -2*j = 5*l + 221 + 438, 4*l - 2*j = -538. Let i = l + 384. Let p = 2759/11 - i. Calculate the common denominator of p and 15/11.
11
Let g = 80 + -164. Let d = 84 - g. Calculate the common denominator of 53/10 and 6 + d/(-30) + 109/115.
230
Suppose -4*k - 163 = 109. Let o = 72 + k. Let d(z) = -14*z + 2. What is the least common multiple of d(-1) and o?
16
Let t = -112981 + 40673051/360. Calculate the common denominator of 43/9 and t.
360
Let f(j) = -10*j**2 - 3*j + 12. Let i be f(6). Let l = -1027/3 - i. Find the common denominator of l and 77/15.
15
Let x = -553380461170458/4673515 + 118407764. Let c = -400898790247/74776240 + x. Let t = 5355 + c. What is the common denominator of -49/16 and t?
16
Let t be (-32)/20*(-4)/(-16)*-4240. Suppose 2000 = 6*l - t. What is the common denominator of (-1)/(-4) + l/(-96) and -41/4?
12
Let t be (-1 - (-3 + (-8)/(-3)))*33. Find the common denominator of 4/t + (-12699)/1485 + 3 and 62/21.
105
Let p be ((-39)/26)/(3/(-8)). Let i(d) = -d**3 + 3*d + 18 + d**2 - p*d**2 - 12. What is the lowest common multiple of 42 and i(-4)?
210
Suppose 0 = -5*q 