 v = -5*q - 3*o + 26. Calculate the smallest common multiple of q and t.
4
Let t = 15263 + -15047. What is the smallest common multiple of 675 and t?
5400
Let k(w) = -2*w**2 + 17*w - 38. Let z be k(2). Let v be 48 + (1 + -1 - 3). What is the common denominator of 4/(v/z + 1 + 1) and -91/6?
42
Let x(y) = y**3 - 13*y**2 + 11*y + 16. Let z be x(12). Suppose -5*h = -z*o - 86, -5*h + 2*h + 2*o = -52. What is the smallest common multiple of 1 and h?
18
Let s = -903 + 84879/94. Let l = s + 4101/376. Find the common denominator of l and -35/288.
288
Let i(n) = -3*n**2 - 22*n + 7. Let k be i(-8). Let h(b) = -2*b**2 + 6*b - 4. Let g be h(k). What is the common denominator of -53/14 and (-106)/g*-21 - 10/55?
70
Find the common denominator of -57/208 and ((-47)/(-5)*(-20)/3380)/((-4)/(-10)).
2704
Let t(v) = -7*v - 33. Let a(f) = 3*f + 17. Let s(b) = 5*a(b) + 2*t(b). Let l be (-18)/(-3*(-4)/8). Calculate the smallest common multiple of s(l) and 7.
7
Let p be (99/(-6))/((-3)/6). Calculate the common denominator of 12/504*(2 - p) and 44/7.
42
What is the smallest common multiple of 4245 and 5/20*68 - (11 - -3)/7?
4245
Let k be (-11390645)/49252*3/(-900). Let v = -2/26385 + k. Calculate the common denominator of v and 85/14.
336
Suppose -3*o + 5223 = h, 2*o - 3496 = -8*h + 12*h. What is the lowest common multiple of o and 416?
27872
Let i be 0 + 2/(-2)*-6. Let p(l) = l**3 + 17*l**2 - 3*l - 50. Let h be p(-17). Let v = h - i. What is the common denominator of v and 115/6?
6
Find the common denominator of ((-3)/7 + 1)/((-81396)/3468) and 37/5.
13965
Let l = -793/270 + -107/27. Find the common denominator of l and 59/132.
660
Let w = 137 + -144. Calculate the smallest common multiple of 11 and (9 - (-5580)/70) + (-2)/w.
979
Let o be (10/4)/((-31)/4 - -8). Calculate the common denominator of (-3 + 68/o)/(6/9) and (-772)/(-72) + (-2)/9.
10
Suppose 6*l - 4*l - 24 = 0. Let c = 9632 + -9560. What is the lowest common multiple of c and l?
72
Let k = 18766 - 1351009/72. Calculate the common denominator of -53/256 and k.
2304
Find the common denominator of (702/(-19692))/((-9)/(-21)) and -13/30.
16410
Let d(r) = 18*r + 6*r**2 + 5 + 10 - 4*r**2 + 0*r**2. What is the least common multiple of d(-9) and 15?
15
Let c = 14 + -10. Let d = 2759 - 16655/6. Calculate the common denominator of d and ((-780)/(-378))/(c/(-6)).
42
Let r = 16960 - 16942. Let b(w) = -w**3 + 2*w + 2. What is the smallest common multiple of r and b(-2)?
18
Suppose 4*u - 83 - 113 = 84. What is the smallest common multiple of u and 22?
770
Let j = -137019873449/300 + 456733336. Let h = j - 2124/5. Calculate the common denominator of h and 77/12.
300
Let a = 22988 - 21982. What is the smallest common multiple of a and 8?
4024
Let v = -756 + 1200. Find the common denominator of 6 and 1/4*(v/10 + -2).
5
Let b = -25 - -31. Suppose -4*l + x = 0, -2*l - x + 3*x - b = 0. Calculate the least common multiple of 18 and (-1)/((-52)/48 + l).
36
Let a = 75093/10 + -7497. Let q be (3174/(-80))/(342/45 + -10). Let g = 11539/608 - q. Calculate the common denominator of a and g.
190
Let l = 161 - 151. Calculate the common denominator of -7/45 and (l - (-6759)/(-675))*(-219)/(-2).
450
Let v = 13167/10 - 1317. Suppose 0 = -3*f + 2*m + 7, 5*m - 1 = 3*f + 4. What is the common denominator of 1/(-10)*(-535)/f and v?
10
Suppose 4*x + 3*i - 1426 = 1807, 4*x - 2*i = 3258. Find the common denominator of 2/7 + (-960)/x and 14*6/((-528)/20).
319
Let v be (117/52)/((-42)/(-220)). Let r = -1441/126 + v. Calculate the common denominator of -17/30 and r.
630
Let p = -257024/21 + 12242. What is the common denominator of p and (-847)/630 + -1 - (117/(-30) + 4)?
63
Suppose 3*s = -3*a + 18, 0 = -2*s + 3*s + 3*a - 4. Let n(b) = b**3 + 12*b**2 - 15*b + 7. Calculate the lowest common multiple of (1 + -34)/((-7)/s) and n(-13).
33
Suppose 0 = 33*b - 36*b + 18. What is the common denominator of 25*((0 - 3) + (-390)/(-140)) and (-2)/b*(-4 + 356/200)?
350
Let h = 2133944075675/3162 - 674871612. Let c = h + -10/527. What is the common denominator of 19/30 and c?
30
Find the common denominator of (-250)/42 + -38*(-31)/7068 and 6/(-4)*3/(-180).
280
Suppose 3*g = -r - 263, -r - 3*g = -6*r - 1351. Let m = 270 + r. What is the least common multiple of m and 12?
12
Suppose -50*o + 38*o - 24 = 0. What is the common denominator of 23/104 and (4 + (-90)/o)*(-3)/(-132)?
1144
What is the common denominator of (-12)/234*(-69)/(-8) and -1 + (6 - 9) - (-13)/20?
260
Let z(o) = 15*o**2 + 103*o + 86. Calculate the lowest common multiple of 56 and z(-6).
56
Suppose 15*x - 757 = 1403. Calculate the common denominator of (-136)/x - (2 - -1) and (-140)/72 - 4/2.
18
Let z be (-368)/(-26) - (-10)/(-65). Suppose 0 = 9*r - z*r - 20. What is the smallest common multiple of 4 and (-2)/(2/4*r)?
4
Suppose 51960*p - 51947*p - 157274 = 0. What is the smallest common multiple of p and 16?
96784
Find the common denominator of -31/21 and 514/1799 - (-4)/1746*-119.
6111
Let f = 12087 + -580229/48. What is the common denominator of (2/5)/((-1246)/445) + (-1676)/(-4480) and f?
480
Let f be 2/((-24)/201 - 0). Let a = -67/12 + f. Find the common denominator of 412/(-52) - -10 - ((-1)/1 - -3) and a.
39
Let t = 2932 - 11823/4. Let z = 43433/18 + -2416. What is the common denominator of z and t?
36
Let x(c) = 9*c - 13. Let z be x(2). Calculate the common denominator of 28/7 - z/(-21)*-23 and 26/63.
63
Let m(u) be the second derivative of u**5/20 - 4*u**4/3 + 11*u**2 + 8*u. What is the least common multiple of (1*3/9)/(1/6) and m(16)?
22
Let k = 3380287097/36 - 93887844. Let o = 27070/3 - k. Find the common denominator of (30/(-135))/((-4)/(-747)) and o.
36
Let q(p) be the second derivative of p**3/6 - 2*p**2 - 19*p. Let w be q(7). Let v = 6 - w. Calculate the lowest common multiple of v and 9.
9
Let q(k) = 4*k - 50. Suppose 144 = 3*d + 3*a, -5*a = -2*d - 6*a + 96. What is the smallest common multiple of d and q(13)?
48
Suppose -2918 + 5 = -7*v + 1623. Calculate the least common multiple of 648 and v.
648
Suppose 4*m - 136 = 104. Suppose 0 = -t - 4*c - 268 + 280, -t - 7*c = 15. What is the lowest common multiple of m and t?
240
Let y be ((-686140)/60045 - -2)*-255. Let c = y - 167918680335/69588152. Let u = c - -2/2173. Calculate the common denominator of u and -17/9.
72
Suppose 0 = -29*z + 28*z + 5. Suppose -3*w + 15 = -4*s, -6*s + z*w = -2*s + 25. What is the lowest common multiple of 58 and (4 + s - 4) + 10?
290
Let r = -430721/2 - -91958905/427. Find the common denominator of 73/5124 and r.
5124
Calculate the common denominator of -59/700 and (-1168)/170 - (2 + ((-270)/10)/3).
11900
Find the common denominator of 2/3 - (8/(-18) + 34891/33579) and -54/1001.
9009
Let g be 6/30 + 2/(300/17331). Let u = g - 2848/25. Calculate the common denominator of -59/2 and u.
50
Suppose 4*u - 33 = 115. Suppose -7*k + 3*k = -p - 4, -3*k + u = -5*p. Find the common denominator of (48/(-15))/p - 71/15 and -38/33.
33
Let p = 2005 - 28061/14. Calculate the common denominator of -45/1232 and p.
1232
Let f(h) = -h**2 - 6*h + 7. Let s be f(-5). Find the common denominator of (-3 - 3685/(-690)) + (-2)/s and (-1 + 65/4)/(-1) - -1.
92
Let d be (-186814)/(-16650) + 1/((-2)/8). Let o = 2/925 + d. Find the common denominator of o and -29/30.
90
Suppose -59*x = -81*x - 69*x + 1365. Calculate the smallest common multiple of 1779 and x.
8895
Let o be ((-872)/12)/((-2)/(-6)). Let d be 30/(-16) - (-9 + 890/80 + -2). Find the common denominator of (o/(-120))/(d/4) and 41/21.
210
Suppose -110 = -12522*i + 12500*i. What is the least common multiple of i and 1146?
5730
Let c = -3 + 5. Suppose 0 = -8*s + 13*s - 20. Suppose s = -c*z + 3*z. Calculate the least common multiple of 6 and z.
12
Let w = 441 - 425. What is the smallest common multiple of (-68)/(-10) + ((-4)/5 - -1) and w?
112
Suppose 555*a = 177*a + 756. Suppose -4*v + 13 = 1. Suppose -v*i + 96 = i. What is the least common multiple of i and a?
24
Let a = 2586039 - 9775227587/3780. Find the common denominator of 113/3402 and a.
34020
Let d = -842 + 2423. Calculate the lowest common multiple of d and 170.
15810
Suppose 0 = -5*f - 3*u + 60, 4*f + u - 64 + 16 = 0. Suppose -3*l - 4*r = 4949 - 4927, 2*l - 11 = r. Calculate the least common multiple of f and l.
12
Let f