91 = -4*p, -216*p - 2*g = -213*p - 302. Calculate the least common multiple of p and 144.
288
Calculate the common denominator of (-21)/(-6)*(1 + 5 + 667/161) and -79/400.
400
Suppose 12*o = -111 + 5295. What is the common denominator of 43/32 and (87/(-232) + 130/o)*-66?
288
Suppose 0 = 5*i + 2*d - 13304, 1020*i = 1018*i + 3*d + 5352. What is the smallest common multiple of 108 and i?
7992
Suppose -56 = c - v - v, c = v - 55. Find the common denominator of 2 + 539/88*2 and (128/c)/((-16)/(-24)).
36
Let k be ((-1)/(-40))/((-6342)/35). Let j = k - -179393/36240. What is the common denominator of (-133)/(-70) + 2 - 3 and j?
20
What is the common denominator of -77/18 and (6/1442)/(4119/(-186) - -22)?
12978
Suppose 5*h = -2*o + 175, 0 = -o + 2*o. Calculate the lowest common multiple of 220 and h.
1540
Suppose 2*p - 222 = 3*b - 7*b, -5*p = -b + 28. Let f = b - 50. Calculate the common denominator of (f + 490/(-165))*51 and 63/2.
22
Let g(b) = -b - 13*b**3 + 20 + 14*b**3 + 6*b**2 - 12*b**2. Calculate the smallest common multiple of (3 - 2)*1 + 2 and g(6).
42
Let d = -1 + 26. Let y = d + -27. Find the common denominator of 41/7 and 1/y*((-58)/10 + 1).
35
Let c be (20266/4702)/((-164)/(-2348)). Let l = c + -2530/41. Let q = l - -134000/16457. Calculate the common denominator of q and -70/3.
21
Let l = -107969 - -80544919/746. What is the common denominator of l and 123/10?
3730
Suppose -14*t + 2112 = 10*t. What is the common denominator of t/11 + 282/(-56) and -71/12?
84
Suppose 4*t - 8 = 40. Calculate the lowest common multiple of (1/2)/(t/48) and 8.
8
Let q = 289037/180 - 14302/9. Let i = q + -84/5. What is the common denominator of i and 47/18?
180
Suppose 0*m = 3*m - 6. Suppose -g - g + 45 = -3*f, -m*g + 5*f = -51. Let q(p) = p**2 - 19*p + 90. What is the least common multiple of q(6) and g?
36
Let f be -245 + 5/(-15)*9. Let u = -234 - f. What is the smallest common multiple of u and 54?
378
Suppose 199 + 332 = 3*s. Let b = s + -102. Calculate the common denominator of (1210/b)/(1/((-5)/12)) and -131/6.
18
Let h be -3 - (6*-1 - 1). Suppose 5*d + y + 69079 = 0, d + 2390 + 11430 = h*y. Let n = -193329/14 - d. Find the common denominator of -49/16 and n.
112
Let t(u) = u**2 - 12*u + 36. Let x be t(6). Suppose q = -x*q - 1. Let w(h) = -10*h**3 + h**2 + 3*h + 2. Calculate the lowest common multiple of w(q) and 15.
30
What is the common denominator of 24/691 and (-16)/(-120)*(-15)/9?
6219
Suppose -3*g + 8*g + h = -36, 5*g = -4*h - 39. Let j(p) = -14*p + 28. Calculate the lowest common multiple of 16 and j(g).
1008
Let n(o) = 11*o**2 + 14*o + 9. Let g be n(-6). Suppose 2*u - g = -5*k, -2*k = -7*k + 4*u + 303. Calculate the smallest common multiple of 2 and k.
126
Let n be (1 - (-3)/(-15))/(6/30). Let f = 15 + -13. Calculate the common denominator of (-39)/(-9)*f/n and 6.
6
Let u be ((-84)/(-15))/(2/25). Suppose 85 = -3*y + 3*t + 310, 3*y - 231 = -3*t. Let v = y - u. What is the smallest common multiple of v and 44?
132
Suppose 2*r = 0, -5*r = -4*s - 3*r - 44880. Let d be 3 - 1*1234215/(-110). Let y = d + s. What is the common denominator of 17/18 and y?
198
Calculate the common denominator of 77/71904*(3549/126 - 2/12) and 13/1712.
5136
Let p = 1796419/20 + -89778. Let o = p + 31/20. What is the common denominator of -15/14 and o?
14
Suppose -2*x - 22*x = -35640. Find the common denominator of -109/6 and 2 + -1 + x/(-3285).
438
Calculate the least common multiple of 115 - ((-44)/(-12) + 8/(-12)) and 19.
2128
Let n(k) = k**2 + 12. Let j(q) = 31*q - 204. Calculate the smallest common multiple of j(8) and n(0).
132
Let i = -55727/1149 + 1/2298. Suppose 0 = 4*a - 6*a - 4*u + 82, -3*a + 3*u = -141. What is the common denominator of i and (-414)/a*(-75)/(-20)?
2
Suppose 4*q = 4*s - 16, 4*s - 3*q - 14 = 1. Suppose 2*n = -2*j + n + 83, -s*j = -2*n - 142. Calculate the least common multiple of 92 and j.
1012
Let d = -168599/30 - -17666/3. Let n be ((-534)/4 - 1)*2. Let x = d + n. What is the common denominator of -73/4 and x?
20
Let p = 14/1165 - -35359/62910. What is the common denominator of -71/162 and p?
162
What is the common denominator of -83/4 and ((-70)/(-2548))/((-50)/(-6))?
1820
Let n be ((-29)/(-3))/((-59)/(-177)). Suppose 2*p = -4*h + 118, 3*p - n = -h - 2. What is the lowest common multiple of 27 and h?
270
Suppose -1028 = -31*j - 43*j + 4300. What is the least common multiple of j and 297?
2376
Suppose 5*p + 45*z - 6624 = 42*z, -2*p = -4*z - 2608. What is the lowest common multiple of 2112 and p?
10560
Suppose -14*x + 1382 = 178. Find the common denominator of 10 + -8 - x/40 and 119/72.
360
Suppose -9*d = -10*d - 2*l + 14, 5*d + 20 = 5*l. Let u = 66 + -46. Calculate the lowest common multiple of u and d.
20
Let y = 22 - 26. Suppose 0 = 2*c - 4*i, 12 = c + 4*i - 6. What is the lowest common multiple of c and (2/(-4))/(y/8)?
6
Let m(y) = 4*y**2 + 48*y - 844. Calculate the least common multiple of 3420 and m(13).
6840
Let y(h) = 26251*h**2 + h - 6. Let n be y(2). What is the least common multiple of (-8)/18 - n/(-540) and 1?
194
Suppose 3*q - 5*m + 155 - 1 = 0, -3*q + m = 134. Find the common denominator of 15/150 + q/(-170) and 55/7.
119
Let f(s) = s**3 - 7*s**2 - 12*s - 24. Let h be f(10). Let g = 165 - h. Let u = 92 + 29. Calculate the lowest common multiple of g and u.
1089
Suppose 5856*p - 5859*p + 3 = 0. What is the smallest common multiple of 429 and p?
429
Let g = -21 + 50. Suppose -1371 = -14*j + g. Calculate the smallest common multiple of 2 and j.
100
Let v = 86 + 27. Let d = 2/13277 - 1022365/238986. What is the common denominator of -2 - (-2)/(66/v) and d?
198
Let h be (-6)/(-21)*1484917/60. Let x be (-827 + -261)/((-4)/26). Let a = x - h. Calculate the common denominator of a and -13/27.
270
What is the least common multiple of 450 and (-5)/15*4*(-4 - -18 - 59)?
900
Calculate the common denominator of (-40)/4 - (-1424178)/89068 - 6 and -91/6.
19086
Let y = -129361/14 - -9245. Suppose 2*z - 8820 = -4*z. What is the common denominator of y and -3 - 0 - z/(-372)?
434
What is the common denominator of 47/12 and 18 - ((-195562)/(-4764) - 23)?
4764
Let l be -5 + 3/7 + 32/7. Suppose 3*s - 37 + 31 = l. What is the smallest common multiple of s and 4*12/(-8)*-3?
18
Find the common denominator of -75*(-14)/(-63)*16/360 and ((-11)/12)/((-24)/64).
27
Let j(k) = k**2 - 7*k + 17. Let c be j(5). Suppose 0 = -a, -3*a + c*a - 4 = -2*l. Find the common denominator of -9/11 and l + (2/(-8) - (-1903)/132).
66
Let p = 3/479 - -33967/6706. Find the common denominator of p and 6/(-9) + 7 + 285/(-90).
42
Calculate the common denominator of (-15)/(40500/387)*-2 and 31/180.
900
Let d = 3722 - 885837/238. Find the common denominator of d and -77/51.
714
Calculate the least common multiple of (4 - 12) + (-1 - -6 - -14) and 4463.
49093
Suppose 5*i = 2*t + 1210, -66*i + 1210 = -61*i + 2*t. What is the smallest common multiple of i and 4719?
9438
Suppose 4*q - 132 - 323 = -5*z, -4*q - z + 459 = 0. Calculate the least common multiple of q and 8.
920
Let o = -4456 - -5031. Calculate the lowest common multiple of o and 20.
2300
Suppose 0 = 4*p + 2*q, 0 = p - 0*p - 4*q - 18. Suppose p*o - 7*o + 33 = -4*g, 6 = -3*g. Calculate the lowest common multiple of o and ((-22)/(1/(-1)))/2.
55
Let x = 41 - 34. Let s(j) = j**3 - 6*j**2 - 5*j - 10. What is the least common multiple of s(x) and 60/(-9)*(-5 + 80/25)?
12
Suppose m = 4*l - 65, -25 = 4*m - 5. What is the least common multiple of l and 228/190*140/8?
105
Let j = 3409/704 + -133/22. What is the common denominator of 45/(-105) + 503*(-2)/(-1008) and j?
576
Let p be (77/14)/((-1)/(-2)). Calculate the least common multiple of ((-12)/(-10))/((-36)/(-300)) and 3 - (p - 4) - -5.
10
Let o = 189199/443040 - 123/1846. Find the common denominator of o and 19/960.
960
Let m = -131 - -136. Suppose 0 = -t + 5*t + 2*p - 1646, -4*t = -m*p - 1653. What is the common denominator of (t/(-40))/((-24)/20) and 71/10?
60
Let o = 318 + -337. Let w(n) = n - 1. What is the lowest common multiple of w(6) and (-8)/(-10)*(o + 29)?
40
Let b = 727 + -637. What is the lowest common multiple of b and 68?
3060
Suppose -23*a + 65452 + 67488 = 266*a. What is the lowest common multiple of a and 7130?
14260
Let b(y) = y**3 + 14*y**2 + 14*y + 32. Let x be 