495935. Suppose 3*i - 2*i = -1407. Let q = i + x. Calculate the common denominator of 65/12 and q.
84
Let y = -2337204025 - -14981477852291/6410. Let a = y + -12/641. Find the common denominator of -89/8 and a.
40
Suppose -1188*c - 22932 = -1266*c. What is the least common multiple of c and 392?
1176
Let i be (28/10 - 3) + 410229/45. Let g = i - 145775/16. Find the common denominator of g and ((-8)/16)/((-8)/15).
16
Let b = 14783382255/598 + -24721365. Let o = -55/6199 - -3884369/427731. Let u = o - b. Find the common denominator of u and -95/2.
78
Let t(u) = -u**2 - 35*u - 244. What is the lowest common multiple of 10326 and t(-10)?
10326
Let f = -510 - -7137/14. Find the common denominator of f and (-148)/(-6)*9*1/24.
28
Suppose -3*c = -5*n, 5*c - 16 = 9. Let t(y) = -243*y**2 + 6*y - 13. Let v be t(n). What is the common denominator of (-4)/(-26) - v/(-156) and -77/16?
48
Let b(o) = -7*o + 6. Let i be b(6). Suppose -30*f + 23*f = -483. Let h = i + f. What is the least common multiple of h and 30?
330
Calculate the common denominator of (2478/(-3402))/(4/6) and 89/78.
702
Let l(o) = -9*o - o**2 - 9 + 2 - 7 + 2. What is the smallest common multiple of l(-6) and 46/184*(-4)/(-1)?
6
Suppose 42*p - 190 = 56*p - 33*p. What is the lowest common multiple of p and 1335/12 - 2 - (-3)/(-12)?
1090
Let f = -769 - -599. What is the common denominator of -64/99 and f/(-51)*17/(-36) + 4?
594
Let w(l) = -l**3 - 9*l**2 - 10*l - 33. Let d = 546 - 555. Calculate the lowest common multiple of 6 and w(d).
114
Let m = 1719 + -574. Let a = -4525/4 + m. What is the common denominator of a and 51/4?
4
Calculate the common denominator of 648/96 - 7 - 1798/(-5832) and -143/1620.
14580
Let f(j) = j**2 + 6*j - 54. Suppose 19*s - 126 = -2*s. What is the least common multiple of f(s) and 52?
468
Let k = 4184 + -4162. What is the smallest common multiple of k and (20/(-12))/(5/(-18))?
66
Let b = 2078887/669712 + 2/125571. Find the common denominator of ((-3)/(-30))/(4/146) and b.
240
What is the common denominator of 73/6 and (1680/(-46256))/((-4)/(-35))?
708
Suppose 28*u - 62*u = 35*u - 54441. What is the lowest common multiple of u and 1052?
3156
Let a(u) = 2*u**3 + 18*u**2 + 16*u - 2. Let s be a(-8). Calculate the common denominator of 238/20 + (-4)/(-10) and (s/(-55))/((-91)/10465).
110
Let p(q) = q**2 + 15*q + 68. Suppose -l + 4 - 14 = k, k - 3*l = -2. Calculate the least common multiple of 73 and p(k).
876
Suppose 1392 = 2*b - 268. What is the common denominator of -9/8 and ((-2620)/b)/((2 - 11) + -3)?
1992
Let j be -1 - (-9)/15 - (-5139)/(-665). Let o = 16/19 + j. What is the common denominator of o and 33/86?
602
Let o = -4678481233359/226 + 20701098146. Let u = 146249 + o. Find the common denominator of u and 3*((-327)/198 - -2).
2486
Suppose 5*a + 2*s - 2430 = 474, -3*s = 5*a - 2901. Calculate the lowest common multiple of 679 and a.
4074
Let j(w) be the second derivative of w**3/3 + 20*w**2 - 28*w. Let y be j(-21). Calculate the lowest common multiple of (-10)/y + (-6 - -2) - -141 and 20.
1420
Suppose 0 = 4*z + 8, 0 = -3*n + z - 578 - 716. Find the common denominator of 41/50 and 72/n - (-554)/240*2.
100
Calculate the common denominator of -17/72 and 87/(-1160) + (5/(-70))/((-1)/(-4)).
2520
Suppose v + 5*k = 29, -2*v + 26 = 5*k - 12. Suppose 4*h - 7*h + v = 0. What is the lowest common multiple of (2/(-6))/(-2 - 35/(-21)) and h?
3
Let h = -106709995786/915 - -349868032/3. Let b = h - -4016/15. Let r = -3191/2196 - b. Find the common denominator of r and 87/8.
72
Suppose -13*b = -86 + 47. Suppose -4*r + 26 = -b*p - 2, 2*p - 8 = 0. Let q(t) = -t**3 + 4*t**2 + 6*t - 3. Calculate the lowest common multiple of r and q(5).
10
Let t be (9*48/540)/((-2)/10). Suppose 4*w + i - 19 = -2*i, -w - 5*i = -9. Calculate the smallest common multiple of w and (4/(-2))/(t/6).
12
Suppose -5*t - 10 = -3*o, 0 = -3*o - 11*t + 9*t - 25. Calculate the least common multiple of (-4 + (-81)/6)*(o + 3) and 25.
175
Suppose 1227 - 203 = 4*g. What is the common denominator of (-632)/g + 6 + 3/(-1) and 5/4?
32
Let a(z) = -z**3 + 4*z**2 + 108*z + 1220. Calculate the smallest common multiple of 32 and a(-12).
17824
Let h = -12 - -17. Suppose -5*p = -b + 27, -2*b - h = 3*p + 6. What is the least common multiple of 2 and (-12 + b + -1)/(-1)?
22
Calculate the common denominator of (-408)/(-153) + (-24)/72 and 109/(-10) + 1*-1.
30
Calculate the lowest common multiple of (-6 + 161/(-14))/((-2)/16) and 2070.
28980
Let q = 176 - 142. Suppose -q - 2 = -9*d. What is the least common multiple of d and 44?
44
Let c(s) = 2*s - 12. Let j be c(8). Suppose 0 = j*f - 71 - 1193. Calculate the common denominator of 73/3 and 1 + (f/84)/1 + -4.
21
Let f = 689 - 631. What is the lowest common multiple of 24 and (-1996)/(-24) - (4 + f/(-12))?
168
Let x be (-4)/(-18) - 1324/(-36). Let y = 76 - x. Calculate the common denominator of (-7)/3*y/(-4) and -59/8.
8
Let l = -14 - -21. Let n = 19193/24 - 800. What is the common denominator of n and l/(-6)*(-78)/210?
120
Let t(x) = -5*x**2 - 360*x + 20. What is the lowest common multiple of 624 and t(-70)?
9360
Find the common denominator of (-120592)/(-70368) - (-30)/(-18) and -87/20.
14660
Let w(n) = -2*n**3 + 39*n**2 - 31*n + 232. Calculate the least common multiple of w(19) and 2430.
4860
Let v(p) = -p**3 - 69*p**2 + 24. What is the smallest common multiple of 24 and v(-69)?
24
Suppose 0*o + 10*o = -4320. Find the common denominator of (-764)/o + 1 + (-9)/12 and -41/21.
378
Calculate the least common multiple of 1455 - (13/13)/(3/(-24)) and 627.
4389
Suppose 0*o + 3*m - 1 = o, -o - 1 = -4*m. What is the common denominator of (-404)/(-24) - (-1 - o) and 9 + 680/(-72) + (-563)/(-72)?
24
Let d = 24451/37698 + 25/309. Calculate the common denominator of (-85)/4*(-1)/2 and d.
488
Let t = -644079733/1890 + 340783. Find the common denominator of -3/55 and t.
20790
Let j = -3424/5 + 690. Let l = 207/14 - -229/7. Calculate the common denominator of j and l.
10
Let v = -5913 + 3600. Let r be 2/6 - (-2047)/v. Let h = 1/257 - r. Find the common denominator of h and 1/5.
45
Let s(h) = -11*h - 23. Let m be s(-4). Calculate the smallest common multiple of 55 and m + 14/2 - 3.
275
Suppose 20*r - 24*r + 32 = -2*x, -r + 3*x = -13. Let j be -2 - 7/(21/114). Calculate the smallest common multiple of r and (3/(-2))/(12/j).
35
Let u(b) = -b**3 - 4*b**2 - b. Let y be u(-3). Let c(i) = -2*i**3 - 11*i**2 - 13*i - 5. Let d be c(y). Find the common denominator of 2*(5/10 - d/28) and 65/18.
126
Suppose -5*n + 371 = -i, 4*i - 293 = -4*n + i. Let k be n/6*(-43344)/132. Let v = -4053 - k. Find the common denominator of v and 39/7.
77
Let k be -1 - (1 + (-12598)/(-555)). Let y = k + 6/185. Calculate the common denominator of (-333)/30 - (-4 - 2) and y.
30
Calculate the common denominator of -20/1017 and 6/45 - (-12936)/(-1120).
4068
Let z(w) = 40*w**2 - 6*w - 6. Let c be z(-1). Suppose 20*a - 25*a = -c. Find the common denominator of -151/6 and (a/(-5))/(81/(-120)).
54
Suppose 4*c - 52 = -5*m, 4*c + 0*m + 2*m - 64 = 0. Let d be (-16 - 1) + (-7 - -9). Calculate the smallest common multiple of c and ((-4)/(-10))/(d/(-450)).
36
Suppose 2*h + 76 = 2*a, -4*h = -3*h + 3. What is the least common multiple of a and 295?
2065
Calculate the common denominator of 4/12*15/(-22) and (1 + -36)*(-12)/(-696).
638
Let v = -120560416/531 + 227044. What is the common denominator of -53/472 and v?
4248
Let u = -13933 + 13949. Suppose -7*w = -8*w + 20. Calculate the least common multiple of w and u.
80
Suppose -71*z = -67*z - 168. Suppose -2*g = 2*m - z, -4*g - 3*m - 12 + 95 = 0. Calculate the lowest common multiple of 86 and g.
860
Let j be ((-2)/(-16))/(7/764580). Let b = 13277 - 26937. Let z = b + j. What is the common denominator of z and -109/14?
14
Suppose -288534 - 99439 + 117503 = -34*x. Calculate the smallest common multiple of x and 2365.
87505
Suppose -152 + 230 = 26*u. Calculate the smallest common multiple of 2/11 - (-320)/55 and u.
6
Let h(z) = 29*z**2 - 314*z + 32. Calculate the least common multiple of 616 and h(12).
3080
Let c = 15860 - 253733/16. What is the common denominator of 69/2276 and c?
9104
Suppose -2*v + 5356 = 3*p, -3*p = -0*v - 4*v - 5344. Find the common denominator of (-2)/10 - p/1680 and (-2