 the common denominator of -38/21 and ((-124)/r)/(486/(-30)).
567
What is the common denominator of (8/30)/(4380/1725 + -6) and -91/144?
28656
Calculate the common denominator of 65/116 and 1434/(-2436) - ((-216)/(-14) + -15).
116
Let k = 7118 + -3836. Let d = 45923/14 - k. What is the common denominator of d and -1 + 1 - 182/24?
84
Let n(b) = b**3 + 14*b**2 - 15*b + 12. Let i be n(-12). Let u be i/14 - ((-60)/(-14) + -4). Calculate the common denominator of 31/7 and (-4)/u + (-4255)/680.
56
Suppose 3*a = 4*p + 1564, 4*a + 103 - 2185 = 2*p. Calculate the lowest common multiple of 44 and a.
5720
What is the common denominator of 83/63 and 2010/(-2835) - (14/(-4) - 20/(-8))?
189
Suppose 2*o = 3*l + 10, -o + 19 = 5*l - 12. Suppose -15 = 4*q + 5, c + 4*q + 19 = 0. Calculate the lowest common multiple of o and (-76)/(-12) - c/3.
66
Find the common denominator of ((-32)/(-234))/((-90)/540) and -47/8.
312
Calculate the lowest common multiple of (159327/(-1124))/((-2)/(-6) + (-49)/84) and 252.
2268
Let f be ((-3)/(48/50300))/3. Let b = f + 1047. Find the common denominator of 3 - ((-1495)/(-150) + -1) and b.
60
Suppose 4*d - 24 = 4*v, -5*d + d = -v - 12. Let q = 116 + -25. What is the least common multiple of d/(-6)*-14 - 32/48 and q?
364
Suppose 27 = -4*a + 5*a. Calculate the least common multiple of ((-561)/(-34))/((-3)/(-2)) + -5*1 and a.
54
Suppose 3*n = 462 + 654. What is the least common multiple of n and 18?
1116
Let j = -315145/71566 + -18/3253. What is the common denominator of 4/(3944/(-4743))*(-10)/30 and j?
638
Let t(s) = -146*s + 246. Calculate the lowest common multiple of 42 and t(-3).
4788
Let b = 26/65175 + -119656/2237675. What is the common denominator of b and 79/6?
3090
Suppose 3*r + 84 = 4*s + 19, -3*s + 45 = -3*r. Suppose 4 = 5*b + 4*l - 22, 0 = -b - l + 6. What is the smallest common multiple of b - -1 - (4 - (4 - 1)) and s?
20
Let p = -73351/3354780 - -3/43010. What is the common denominator of p and -31/1716?
8580
Let n(u) = 13*u**2 - 141*u - 159. What is the smallest common multiple of n(12) and (-2276)/(-14) + 40/(-70)?
1134
Let v = -936280 - -4764595. Let o = v + -1424130367/372. Let x = 95/93 + o. Calculate the common denominator of x and 43/8.
24
Suppose v + 0*v - 100 = 0. What is the lowest common multiple of v and ((-4)/20 + (-612)/540)*(-75)/2?
100
Suppose 0 = -8*t + 6*t + 30. What is the common denominator of 22/t + 8/(-40) and 52/45?
45
Let w(f) = 41*f - 2. Suppose 5*n - o - 13 = 0, 208*n - 205*n = -4*o + 17. What is the least common multiple of n and w(1)?
39
Let f(a) = -a**3 - 7*a**2 - 7*a - 8. Let n be f(-6). Let v = 190 - 1693/9. Find the common denominator of 28/10 - (-6 - n) and v.
45
Suppose 2*f - 129 = i, 4*i - 24 + 225 = 3*f. Calculate the smallest common multiple of f and 7.
63
Let v = -7710 + 61587/8. Let r be -6 + (-12 - -20) - (-14)/(-1). Find the common denominator of v and (-1 - 0/(-2))*226/r.
24
Let d(t) = -18*t**3 + 29*t**2 + 28*t - 3. Calculate the smallest common multiple of 290 and d(-1).
2320
Calculate the common denominator of 454/(-624) + -7 + 513/72 and 75/26.
78
Suppose -g - 7*g = -48. Let x be (-156191)/(-28) - (g/(-8))/(-3). Let z = -133813/24 + x. Calculate the common denominator of -76/15 and z.
120
Let y = 267/8 + -1009/24. Let x = -5436889/540 - -40275/4. Find the common denominator of y and x.
135
Suppose 0 = -3*g + 15, -5*g - 768 = h - 803. Calculate the lowest common multiple of 650 and h.
650
Suppose -3*r + 5*s = -1477, -r - s - 322 + 801 = 0. Let z = 40874 - 40858. Calculate the smallest common multiple of z and r.
1936
Let g(r) = -r**3 + 3*r**2 + 3*r - 7. Let b be g(3). Let n = 10130/7 - 1453. Calculate the common denominator of n and 3 - b - (-3)/((-18)/(-83)).
42
Let o = -121 - -123. Suppose 6 = o*w + 2*r, -9*r + 8*r + 35 = 5*w. Calculate the lowest common multiple of 60 and w.
120
Let s = 32903/8 - 4107. Suppose -7*h = 5*q - 5*h - 11, 3*h = -3*q + 12. What is the common denominator of q*((-232)/(-128))/((-2)/(-6)) and s?
16
Let g = 100491 + -23112813/230. Calculate the common denominator of (-15)/(-18)*474/(-40) and g.
920
Let s(x) be the third derivative of 9*x**4/4 - 43*x**3/6 + 64*x**2. What is the lowest common multiple of 25 and s(2)?
325
Let f = 97 + -95. What is the least common multiple of f and 54/72*(-136)/(-6)?
34
Let b be (-33096954)/504 - 8/(-14). Let v = -65667 - b. Calculate the common denominator of v and -7/3.
84
Let f be ((-12)/(-8) + 4 + -5)*20. Find the common denominator of -51/11 and 118/f*(-7 + 66/9).
165
Let d = -72 + 424. Find the common denominator of (979/d)/1 + (0 - 0) and 59/108.
864
Let q = -881 + 881. Suppose q = -10*t + 325 + 135. What is the lowest common multiple of t and 1?
46
Let h = 10166 + -5947153/585. Find the common denominator of h and -34/15.
585
Let x(o) = -o + 5. Let j be x(3). Calculate the smallest common multiple of (-31)/(-3) + j/3 and (80*(-8)/(-180))/(10/90).
352
Let s = -1662 - -1670. Calculate the least common multiple of s and 456.
456
Let n = 133116899/209 + -636925. Let k = n + 27689/19019. Find the common denominator of k and 17/78.
546
Let u = 619 + -369. Suppose -2*r + 4*r - u = -2*x, 2*x = 6. What is the common denominator of -103/42 and (-24)/40 - -2*r/(-360)?
126
Calculate the common denominator of 71/4551 and (-22)/66 - (-2960)/6888.
31857
Suppose 0 = p + 3, 3*p = 4*q - 721. Suppose 14*t = 794 - q. Calculate the least common multiple of 8 and t.
88
Let z be (9998/(-10))/((-13572)/453570). Let n = 33413 - z. What is the common denominator of 31/22 and n?
1914
Suppose 0 = -5*g - 2*z + 6, -5*z + 19 = g + 4. Suppose 3 = i - g*i. Calculate the lowest common multiple of 18 and i.
18
What is the common denominator of 3/((-155088)/12668) - (-15 - 177/(-12)) and -1/27?
9693
Let w = 5144 + -5140. Calculate the smallest common multiple of 4952 and w.
4952
Suppose -252676 = 18*w + 65042. Let b = 423559/24 + w. Find the common denominator of b and 43/15.
120
Let b = -10289/8 - -1287. What is the common denominator of b and 31/577?
4616
Suppose 4*o - 46*u - 10769 = -41*u, -2*u - 8082 = -3*o. Suppose 764 = -28*z + o. What is the lowest common multiple of z and 30?
690
Let k = 400721/59176242 - -53/13914. What is the common denominator of -35/6 and k?
25518
Let f be 1/(-4) + (-1078)/8. Find the common denominator of ((-34)/(-85))/((-48)/415) and 10/12*(-12)/f.
216
Let q = -104 + 157. Suppose 0 = q*a - 57*a + 40. Calculate the least common multiple of a and 8/44 + 614/11.
280
Let g(b) = -b - 6. Let p(d) = 8*d + 37. Let n be p(-6). Let t be g(n). Suppose 108 = -t*s + 14*s. Calculate the least common multiple of s and 20.
60
Let w be 20*(20/(-4) - -3). Suppose 5*d = 3*d + 44. What is the lowest common multiple of 1/8 - 795/w and d?
220
Let j = -222713 - -11581005/52. Let a = -87/824 + -2/103. Find the common denominator of a and j.
104
Let c = -5534 - -2213601/400. Calculate the common denominator of 89/250 and c.
2000
Let p(b) = b**2 - b - 83. Let g be p(-9). Suppose 3*l - 620 = -g*l. Calculate the lowest common multiple of l and 22.
682
Suppose -5*o - 3 = -8*o + p, -6 = -2*p. Suppose 4*s - 243 = -o*n + s, 5*n = 5*s + 620. What is the smallest common multiple of n and 15?
615
Let s = -235 + 280. Calculate the least common multiple of 10 and ((-18)/(-15))/(2/s) - -1.
140
Let g = 168 + -116. Let o = g - 48. Suppose o*m - m - 18 = 0. What is the smallest common multiple of 4 and m?
12
What is the lowest common multiple of (-16)/(-8)*-2*(-26 - 4) and 312?
1560
Let u = -1514 + 13613/9. Let n = -2573320/141 + 18251. What is the common denominator of u and n?
423
Let i = -521839/14 + 37275. What is the common denominator of i and 45/4*(-4)/86?
602
Suppose 5*w = -4*u - 68, 11*u - 3*w - 60 = 15*u. Let v(z) = z**2 + 15*z + 71. What is the smallest common multiple of v(u) and 35?
35
Suppose 0 = 7*f - 2*f - 3*y - 15, -f + 3 = 3*y. Suppose -f*w + 15 = -6. Let b = -16150 + 16154. Calculate the least common multiple of b and w.
28
Suppose 6*x = 633 + 4857. Suppose 21*k - 9 = x. Calculate the least common multiple of k and 44.
44
Let b = -838130/9 + 92956. Let w = b - -31357/180. Find the common denominator of -5/128 and w.
640
Let x = 8718591/22258 + -12145/31. Calculate the common denominator of x and 37/4.
1436
Calculate the common denomina