
Let n = -52681 + 7375471/140. Find the common denominator of -59/135 and n.
3780
Find the common denominator of 59/1288 and (-1335)/180*6/6.
3864
Suppose 3*p = 4*g + 2*p - 573, 289 = 2*g - 3*p. Let j = 171 - g. Calculate the lowest common multiple of 4 and j.
28
Suppose 32*n + 27752 = 30*n. Let s = -305191/22 - n. What is the common denominator of s and 103/144?
1584
Let w be ((-104824)/24)/((0 - 3)/(-27)). Let g = w - -1650829/42. What is the common denominator of g and -77/30?
210
Suppose 4*a - 9 = 7. Let g be (-2 - 1*(a - 8)) + -1. What is the least common multiple of 7 and 6 + (5/(-1) + 4)/g?
35
Suppose 4 - 84 = -j. Calculate the least common multiple of j and 12*(17 + 6 + -11).
720
Suppose 74 + 16 = 3*z. Let h = 1788 - 1708. What is the lowest common multiple of h and z?
240
Suppose 3*u = -4*j + 5*u + 48, 0 = 4*j + 3*u - 48. Let v(s) = 5*s**3 - 17*s**2 + 6*s + 3. What is the smallest common multiple of v(3) and j?
12
Let a = -6572 + 39289/6. Let g be ((-47072)/3712)/(5/(-6)). Let l = g + -131/29. What is the common denominator of l and a?
30
Let y = 908 - 5507/6. What is the common denominator of ((-9782)/(-1541))/((-12)/(1*2)) and y?
138
Calculate the common denominator of 71/36*(4 - 3) and (3211/38 - -13)*4/72.
36
Suppose 6 = -5*t - 5*z + 56, -4*t + z + 35 = 0. Let q(l) = l**2 + 14*l - 22. Let i be q(-16). Let b = 34 - i. What is the least common multiple of t and b?
72
Suppose 52*a - 50*a - 60 = -5*d, 14*a - 60 = d. What is the least common multiple of (-38)/(-14) - 4/(-14) and d?
30
Let n = 5872 - 5860. What is the lowest common multiple of n and 1256?
3768
Let g(q) = -6*q**3 + 2*q**2 + 3*q + 1. Suppose 0 = -l + 2 + 12. Let d be (-1)/3 - l/21. What is the lowest common multiple of 12 and g(d)?
12
Let n = 959 + -1662. Let b = n + 724. What is the least common multiple of b and 60?
420
Suppose 2*i + i - 3*g - 42 = 0, 43 = 5*i + 4*g. Let v = 41 + -271/7. Calculate the common denominator of (104/(-39))/(i/(-6)*-10) and v.
385
Let a(h) = -93*h + 975. Calculate the least common multiple of a(10) and 6110.
54990
Suppose 3*q - 4*g + 62 = 0, 92 = -5*q - 0*g + g. What is the common denominator of 65/6 and q/(-12)*2 + 447/(-66)?
66
What is the common denominator of -61/12836 and 174/84 + -1 + 1?
89852
Let d = 12329537/216 - 57081. What is the common denominator of 11/3 and d?
216
Let n(k) = -k**2 + 3*k + 10. Let f be n(5). Suppose -z - 6 = -f*z. Let a = z + 22. What is the smallest common multiple of 2 and a?
16
Let z = 1/56021 + -6778589/2689008. Find the common denominator of -1 - 2 - -3*556/432 and z.
144
Calculate the common denominator of (1/((-12)/2))/((-23)/((-759)/(-44))) and -137/2376.
2376
Let w(x) = -175*x**3 - 3*x + 2. Let j be w(1). Let f = j - -194. What is the least common multiple of f and 5?
90
Let q = 78305/12 - 6529. Calculate the common denominator of q and (-130)/46 + 3/2.
276
Let p = 5023 - 3478. Let i = 23234/15 - p. Find the common denominator of 77/156 and i.
780
Let p = -10059 + 10092. What is the least common multiple of p and 66?
66
Let s = -22788868/219 + 104059. Calculate the common denominator of s and -28/657.
657
Let r be (-26)/40*(-2)/(-8). Let x = r + -4403/720. Calculate the common denominator of 218/(-12) + (-54)/162 and x.
18
Let y(n) = -n**3 - 39*n**2 - 32*n - 384. Calculate the least common multiple of 36 and y(-39).
864
Suppose 0 = 7*j + 12*j + 152. What is the smallest common multiple of 7/(252/297) + 2/j and 40?
40
Suppose -4*m = 293*y - 294*y + 4, 2*y - 17 = 5*m. Calculate the smallest common multiple of y and 414.
3312
Let v(t) = 5*t**3 + 519*t**2 - 109*t - 512. Calculate the least common multiple of 470 and v(-104).
1880
Let o = -1896 - -64523/34. Let r = -106736 + 533626/5. Find the common denominator of o and r.
170
Suppose -7*z + 40 = z. Suppose -6 = z*m - 11. Find the common denominator of -67/24 and -14*(84/99 - m).
264
Let u be -480*9/(-72)*6. Suppose -46*d + u = -d. Calculate the lowest common multiple of 39 and d.
312
Suppose -11*g - 281 = -1040. Suppose -51*k = -g*k + 2520. What is the lowest common multiple of k and 18?
1260
Suppose -2 = -6*p + 34. Suppose -10*d - p = -11*d. Find the common denominator of 8/11 and ((-135)/70)/(d/(-8)).
77
Let s be (1370/735 - 0)*2/76. Let a = -17139217/3724 - s. Let i = 4599 + a. What is the common denominator of -95/12 and i?
12
Let p be (7/(-126))/(17/3). Let q = 773/238 + p. Calculate the common denominator of q and (-4 + 605/(-120))*12/126.
252
Suppose -24 = -4*f + 32. Let p be (-109 + -5)/6 - (-2)/(-1). What is the least common multiple of f and (7 - 473/77)/((-1)/p)?
126
Suppose -3*j + f + 155 = 0, 2*f = -0*j + j - 45. Let r = j + 7. Calculate the common denominator of (-3)/((-567)/(-312))*(-42)/r and -127/12.
180
Suppose -3*c = 119 - 89. Let o(b) = b**2 + 9*b + 10. What is the smallest common multiple of 154 and o(c)?
1540
Suppose 6457*d - 260 = 6444*d. Calculate the lowest common multiple of (-50)/3*(-108)/45 and d.
40
Let f(z) be the third derivative of -z**4/2 - z**3/3 - 10*z**2. Let x be f(-1). Calculate the least common multiple of 1 + -2 + 0 + x + -6 and 8.
24
Let d = 10889/8 + -1371. Calculate the common denominator of d and 17/1594.
6376
Let d(h) = h**3 - 5*h**2 + 4*h + 2. Suppose 6*c - 302 - 40 = 0. Suppose -2*k + c - 21 = 0. What is the least common multiple of k and d(5)?
198
Let w = 1 - -2. Let q = -393 - -397. Let o(t) = -t + 34. What is the least common multiple of o(q) and w?
30
Let o = -27105 - -29019. What is the smallest common multiple of 1740 and o?
19140
Calculate the least common multiple of 21 and (-1390)/(-66) + (-602)/9933.
21
What is the least common multiple of 88 and ((-216)/7)/(-7*(-12)/(-4116))?
16632
Let r = -2373/4 - -14311/24. What is the common denominator of -133/680 and r?
2040
Let n = -5238/17 + 734901/2380. What is the common denominator of n and 121/80?
560
Suppose -662*i - 52052 = -675*i. Calculate the lowest common multiple of i and 728.
8008
Let c = 934/15 - 18166/285. Let a = -164753/10 - -16486. Find the common denominator of c and a.
190
Let x = -29027/18 + 1613. Calculate the common denominator of (473/170 - 1) + -2 and x.
1530
Let c = -707/2 - -375. Find the common denominator of c and (6/(-8))/((-175)/220).
70
Calculate the common denominator of -115/1496 and (-5)/(-9)*(-14)/((-112)/(-58)).
13464
Suppose 3*x - 78840 = 5*r, -r = -3*r. Let i = x - 16135865/614. Find the common denominator of i and -137/12.
3684
Find the common denominator of -49/1258 and 149*((-755)/45 + 17)/((-68)/(-3)).
3774
Let t = 198 - 197. Suppose -3*z - 72 = -7*z. Let k = 28 - z. Calculate the least common multiple of k and t.
10
Suppose -133*j - 27*j + 14640 = -51760. What is the smallest common multiple of 332 and j?
1660
Let h = -235/3 - -281/4. Suppose 0 = x + 5 + 4. Find the common denominator of h and 12/x + 326/(-156).
156
Suppose 3*x = 38 - 20. Let l(o) be the first derivative of 17*o**3/3 + 7*o**2/2 + 2*o + 19. Calculate the least common multiple of l(-2) and x.
168
Let a = -19027 + 380629/20. Find the common denominator of -5 - (4 - (5 + 561/120)) and a.
40
Suppose w - 10971 = -3*t, -t + 29 = 31. Let o be 1/2 - 120787/(-11). Let h = w - o. Find the common denominator of -61/6 and h.
66
Let y = 20116415/563194 - 5909172615739/179936259045. Let j = y - 1/31170. Let u = -5055/574 + j. Find the common denominator of u and 31/14.
14
Suppose 2*j + 267 = -3*h, 5*h - j = 7*h + 179. Calculate the least common multiple of 110 and ((-4)/(-7))/((-13)/h).
220
Let k = 41409 + -40008. Calculate the least common multiple of 4670 and k.
14010
Let r = 387 + -277. Calculate the common denominator of -47/2 and 20/r - (-958)/660.
30
Suppose 43 = 5*j - g - 36, 4*g + 16 = 0. Suppose 0 = -j*q + 365 + 235. Calculate the smallest common multiple of 3/(-5) - (-549)/15 and q.
360
Let f be 4/3 - 3822/(-9). Let d = 432 - f. What is the lowest common multiple of 12 and d?
12
Suppose 58 = -3*g + 154 - 63. Suppose 2*b + 117 = 4*n - b, n - 2*b = 33. Calculate the least common multiple of n and g.
297
Let c(b) = -b**3 - 2*b**2 + 4*b - 1. Let z be c(-3). Let l be (0 + z - -3)*-83. Let w = l - 40. Calculate the common denominator of w and 37/8.
8
Let v(o) = -5*o**2 + 30*o - 52. Let h(k) = 14*k**2 - 91*k + 158. Let r(i) = 6*h(i) + 17*v(i). What is the l