+ 31971600. Let o = k + 239692429/15. Let i = -6307 - o. What is the common denominator of i and -47/3?
15
Let i(u) = 3*u**3 - 5*u**2 - 8*u + 96. Calculate the lowest common multiple of i(9) and 1204.
3612
Let p be 4509/(-45) + 24/20. What is the least common multiple of 90 and 1776/33 + (-18)/p?
270
Let h = 14283409055/8 - 3648111222663423/2043272. Let a = h + -175/2354. Calculate the common denominator of -91/12 and a.
2604
Let w(c) = -c**3 + 3*c**2 + c - 3. Let z be w(3). Suppose z = 183*r - 186*r + 21. Calculate the least common multiple of 13 and r.
91
Let z be (-22)/(-275) - 21248/(-25). Find the common denominator of 103/6 and ((-42)/45 + 1)/(140/z).
42
Let h(w) = -2*w**2 + 22*w + 16. What is the least common multiple of 528 and h(7)?
1584
Let o(y) = -28*y + 3264. What is the lowest common multiple of o(93) and 198?
1980
Suppose 3*c = 4*c + 5*i - 23, -3*i = 2*c - 18. Let t be 16/c - 1/3. Suppose t*h = 8*h - 18. What is the smallest common multiple of h and 16?
48
Let i be (-4)/(-22) + (-9450002)/51973317. Let t = i + 8147240129/4885491798. Let r = t - -2/141. Calculate the common denominator of r and -15/8.
88
Calculate the common denominator of ((-12)/(-21) + 2202/189)*2/(-316) and 41/18.
1422
Let s(n) = -5*n - 40. Let u(a) = a**2 - 9*a + 8. Let o be u(3). Calculate the smallest common multiple of 11 and s(o).
110
Suppose 107 = 5*g - 2*i, -133 = -4*g + 4*i - 45. What is the smallest common multiple of g and ((-144)/(-168))/(4/42)?
63
Suppose 2*u = -s + 919, -3*u + 0*s = 3*s - 1380. Calculate the common denominator of (3 - 20/6)*u/15 and (-10 - 13)/((-10)/4).
5
Suppose -165*h = -23549 + 2759. Calculate the smallest common multiple of h and 42.
126
Let j be (22133230/564)/(-5) + -2. Let y be 11777/(((-2)/(-12))/(1/9)). Let z = y + j. What is the common denominator of 39/8 and z?
376
Let z = -55 + 58. Suppose q + 3*h = 6, -z*h + 5 = 2*h. Let m = -9 + 12. Calculate the least common multiple of q and m.
3
Let o = -10537891/8 + 1314522. Let p(u) = -5*u**3 + 3*u**2 + 5*u + 7. Let l be p(-8). Let k = l + o. Find the common denominator of k and 17/11.
88
Let k be 10/(-2)*(-1 + 2/5). Let v(c) = 2*c**3 - 5*c**2 + 2*c + 3. Calculate the least common multiple of v(k) and 10.
90
Let k(v) = v + 7. Let c be k(-5). What is the common denominator of c/(-3)*29/8 and -6 + 15 + 343/(-28)?
12
Calculate the common denominator of (86/66 - 1)*(-48 + (-9954)/(-168)) and 10/231.
462
Suppose 34*v = 45*v - 110. Calculate the common denominator of -81/514 and ((-4)/v)/(1440/(-12375)).
4112
Let c = -13 + 23. Suppose -t - 4*t + c = 0. Suppose 14139*s = 14124*s + 45. What is the least common multiple of s and t?
6
Let k = -26 + -7. Let m be (4 - k/(-9))*3. Calculate the common denominator of -1 + (-256)/42 - (-3)/m and -49/27.
189
Let b(x) = -x**3 + 8*x**2 + 16*x - 55. Calculate the least common multiple of b(9) and 93.
744
Let d be 4 - 1 - 3 - -28. Suppose d*b = 24*b + y + 159, -b + y = -42. Calculate the lowest common multiple of b and 12.
156
Let s(q) = -q**3 - 25*q**2 - 23*q + 25. Let m be s(-24). Calculate the common denominator of (-1)/m + 4564/1680 and 65/6.
60
Calculate the common denominator of 87/8 and ((-303)/(-24))/((1287/(-5))/((-108)/(-270))).
10296
Suppose 3*u - 155 = -149. Suppose 2*i - 56 = -3*r, r + 4 - 12 = u*i. Calculate the least common multiple of 3 + -1 + 24 + -2 and r.
48
Suppose -56784 = -57*x + 25*x - 46*x. What is the lowest common multiple of x and 6?
2184
Let v = -584 + 777. Let c = v - 158. Calculate the least common multiple of (-4)/14 - (-531)/21 and c.
175
Let c = 205410 - 1209857/6. Let s = 3564 + 222. Let i = s - c. Calculate the common denominator of 125/24 and i.
24
Let f be -2 - -5 - 9/9. Calculate the smallest common multiple of f/15 - (3440/(-75) - 3) and 14.
98
Let l = 16688/2711739 - 315836897543/99252359139. Let a = l - 1/2153. Calculate the common denominator of 21/5 and a.
85
Let s(o) = -o**2 + 17*o + 6. Let d(y) = -y**3 - 16*y**2 - 14*y + 32. Suppose 3*m = 4*m + 15. Let x be d(m). What is the least common multiple of 3 and s(x)?
6
Let i = 739739 + -122054054/165. Let h = i - 7/55. What is the common denominator of -56/27 and h?
27
Let y(r) be the third derivative of r**5/60 - 23*r**3/6 - 7*r**2 - 6*r. Calculate the least common multiple of (-9 - 1)/(1/(-2)) and y(-9).
580
Let o = 259 + -253. What is the lowest common multiple of (-2 + -4)*(2 + 23/(-2)) and o?
114
Let t = 638/729 + -1452095/1700028. Find the common denominator of -93/22 and t.
2332
Suppose -3*l + 160 + 101 = 0. Let s = 90 - l. Suppose -j = c + 4*j, 0 = 2*c + s*j - 14. What is the least common multiple of 87 and c?
870
Suppose -m = 3*d + 820 - 2914, -9 = -3*m. Calculate the least common multiple of 136 and d.
5576
Suppose 16*i - 64 - 6 = -22. Calculate the smallest common multiple of i and 712.
2136
Let i(k) = k**2 + 93*k + 2162. Let r be i(-45). Let g = -5 + 10. Suppose -g*m - 8 - 22 = -4*z, -r*z = -2*m - 16. What is the lowest common multiple of z and 54?
270
Let n = 1/10061 - 121033/3028361. Calculate the common denominator of -51/172 and n.
1204
What is the common denominator of (2 - 15606/7860)*(8 - (-124)/(-16)) and 13/18?
47160
Let y(i) = -9*i + 117. Let m be y(14). Calculate the common denominator of -113/90 and (410/(-225))/(m - -7).
90
Let m = -122 + 174. Calculate the common denominator of 131/24 and (3237/m)/(6*1).
24
Suppose 0 = -64*z + z + 27090. Calculate the lowest common multiple of 2 and z.
430
Suppose -2*d - 4*q + 3812 = 0, 0 = 2*d - 3*q - 4779 + 925. What is the smallest common multiple of 822 and d?
5754
Let n = -307285/2430192 - -99/4112. Calculate the common denominator of n and -1/78.
15366
Let c = 204 - 518. Calculate the common denominator of (1/(c - -5))/(5/190) and -131/12.
1236
Let x = 3 + -5. What is the lowest common multiple of (-3)/2*(-2290)/687 and 1*(25 - x) + -1?
130
Let l = -302 + 9757/32. Find the common denominator of l and 595/(-70)*(-1)/2.
32
Let f = 46 - 42. Let m be 1574/(4 - 3) + f. Let k = m - 4694/3. Find the common denominator of k and 10/9.
9
Let j = -17993 - -18389. What is the smallest common multiple of 364 and j?
36036
Let d be (-10 - -6)/((-20)/45). Suppose -d*i - 432 = -1350. What is the lowest common multiple of i and 48?
816
Let c = 214307 + -92152077/430. Find the common denominator of c and 73/645.
1290
Find the common denominator of 13/(338/(-91)) + (-215)/(-56) and -131/36.
504
Suppose -t + 4*t - 5*l = -885, -12 = -4*l. Let o = t + 304. What is the least common multiple of o and 16?
112
Suppose -18*n - 111*n - 40*n = -1183. Calculate the smallest common multiple of 532 and n.
532
Let b = 10234 - 10104. What is the lowest common multiple of 900 and b?
11700
Let d be (-90921360)/1728 - (5 + 1). Let p = d + 52626. What is the common denominator of p and 11/84?
252
Let w be 15*(-3 - (52/(-10) + -2)). Suppose -q + 57 = -4*p, 5*q - 2*p - w - 222 = 0. Let g = -53 + q. What is the lowest common multiple of 1 and g?
4
Suppose 3*o + 3*n = 3255, -4310 = -0*o - 4*o + 2*n. Suppose 11*s - o = -s. Find the common denominator of -113/18 and (((-357)/60)/7)/(s/(-80)).
90
Let y = -46630969997/52870 - -881993. What is the common denominator of y and -143/18?
475830
Let q = 11 + -22. Let i(d) = -d**2 - 12*d - 1. Calculate the least common multiple of i(q) and 9.
90
Let x = -3379307/104 - -32493. What is the common denominator of 0 - -1 - 62049/33540 and x?
520
Suppose 19 = 7*b + 40. Find the common denominator of -19/8 and (7 + 55)*b/(-18).
24
Let d be ((-16775)/(-110))/(0 - 1/3). Let s = 481 + d. What is the common denominator of 2/8 - (-31)/(-14) and s?
28
Let y be (28 + -27)/(-1*(0 - -1)). Let c be (-71)/3 - ((-3)/9)/y. Let i(l) = l**3 + 23*l**2 - 24*l + 32. What is the lowest common multiple of i(c) and 4?
32
Let g = 13/979 - -92771/17622. Calculate the common denominator of g and (-1)/(-6)*657/30.
180
Suppose 2*g + 3*a = 3298, -2*g - 9*a + 8*a + 3302 = 0. Let v = g + -9965/6. Find the common denominator of -115/36 and v.
36
Suppose -89 = -4*i + 27. Let p = i - 13. Let g = -11 - -15. Calculate the lowest common multiple of p and g.
16
Suppose 126*v - 128*v + 242 = 0. Suppose 3705 = -102*o + v*o. Calculate the least common multiple of 12 and o.
780
What is the common denominator of 47/3306 and (5 - (-33208)/(-7