Let w = -4424419/1692 - -102402/47. Let g = w + f. Find the common denominator of 57/16 and g.
144
Let s be -1*((-6)/(-2) + 1). Calculate the lowest common multiple of (-10 - 2)/(-1) - s and 36.
144
Let a(m) = 2*m**3 + 37*m**2 - 33*m + 162. Calculate the smallest common multiple of 45 and a(-18).
1080
Let o = -69539743/4649 + 14958. Let p = -33967993/1441 - -946973967877/40195254. Let x = p + o. What is the common denominator of 11/18 and x?
18
Let p be 332/(-9)*(-4 + 134/32). Let c = p + 491/84. Let u = 1474 - 14651/10. Calculate the common denominator of u and c.
70
Find the common denominator of ((-4796)/(-231) - 18)*(-7)/(-4) and -13/231.
462
Let k = -97343/35130 - -5/1171. What is the common denominator of k and 31/231?
2310
Let i = -4 + 7. Suppose 280264*o = 280236*o + 280. Calculate the lowest common multiple of i and o.
30
Let d be ((-5080)/(-464) + -11)/((-3)/(-2748167)). Let l = d + 47384. What is the common denominator of l and 76/9?
522
Let g = -25 + 27. Suppose c + 53 = -j, -4*j + g*c - 185 - 57 = 0. What is the common denominator of -29/8 and (-7)/(6 - -15) + j/213?
568
Let x(t) = -t**3 + 7*t**2 + 9*t + 1. Suppose -19*y = 9*y - 140. Calculate the smallest common multiple of 30 and x(y).
480
Let d(p) = -p**3 + 43*p**2 - 252*p + 8. Calculate the least common multiple of d(36) and 243.
1944
Suppose -587 = -28*w + 160 - 131. Calculate the lowest common multiple of w and 1122.
1122
Let u(n) = 8*n - 44. Let v be u(6). Suppose 2*z = -0 + v. Suppose -130 = -z*i - 50. Calculate the least common multiple of 22 and i.
440
Let y be (36/30)/(9/(-120)). What is the least common multiple of (-1 - (9 + -5)) + 27 and (-68)/(-7) - y/56?
110
Let d be -6*-2*3/(-12). Suppose 107*r - 113*r = -72. Calculate the least common multiple of 1*((-3)/d + 20) and r.
84
Let j = -11521/110490 - 171/635. Calculate the common denominator of j and 10/4 - (-4732)/1248.
696
Let s = -44637 + 2678293/60. Calculate the common denominator of (140/(-4) + -6)*(-289)/31212 and s.
540
Let v be (-1)/((24/20)/(-6)). Suppose h = v - 3. Suppose -13*z + 16*z - 69 = 0. Calculate the smallest common multiple of z and h.
46
Let k be 4/(28/119)*-3. Let h = 102 - k. What is the lowest common multiple of 30 and h?
1530
Let s = -19724875830459/8756 - -2252726794. Let q = -120/199 - s. What is the common denominator of -53/8 and q?
88
Suppose 2*p + 5*k - 155 = 0, p + 0*k - 76 = -2*k. Let o(x) = 2*x**3 + 2*x**2 - 1304*x + 90. Calculate the lowest common multiple of o(0) and p.
630
Let t be 48365/127160 + (-6)/16 + 0. Let a = t + -80/561. What is the common denominator of a and 37/30?
510
Let k = 629 + -627. Calculate the common denominator of (-321)/k*(-76)/(-53352) and -7/12.
468
Let w = -20380 + 244459/12. Let t = -2677191605 + 17380327958917/6492. Let l = t - 24/541. Find the common denominator of l and w.
12
Let a = -3390 - -864451/255. Let w = a - -368/85. Find the common denominator of w and -13/111.
111
Let q(a) = 3*a**3 - a**2 - 2*a - 1. Let m be q(-1). Let n(l) = 148*l + 1637. What is the lowest common multiple of (9/m)/(1/(-1)) and n(-11)?
9
Suppose 550 = -j - 3*a + 564, 3*a + 18 = 3*j. What is the least common multiple of j and 14828?
29656
Let d = 259 + -257. Suppose 2*o = 14 + 22. Calculate the smallest common multiple of (66/o)/(3/9) and d.
22
Let d(w) = 8*w**3 - w + 1. Suppose -4*u + 5*x = -2235, -8*u + x + 1125 = -6*u. Let a = u - 557. Calculate the lowest common multiple of a and d(1).
8
Let u = -4442 - -4446. Let s be (-3 - (-1 + -3))*34. Suppose -3*o = 4*f - s, 2*f + 2 = 3*o + 10. Calculate the smallest common multiple of u and f.
28
Let j(h) = 31*h**2 - 2*h - 2. Let m(v) = v**2 - 7*v + 4. Let q be m(6). Suppose 154*p - 148*p = 12. Calculate the lowest common multiple of j(q) and p.
126
Find the common denominator of ((-6)/96*4 + 16/(-1))/4 and 49/153.
2448
Let r(a) = -a**2 + 4*a + 12. Let g be r(6). Let q = -4 - -15. Let t = q + g. What is the least common multiple of t and 17?
187
Let z = -6754 - -53931/8. Find the common denominator of z and 14/(-77) - 3004/2112.
48
Let c be 1694*-2*(-4)/(-16). What is the common denominator of (9/6)/((-105)/c) and 7/15?
30
Let q = 14469 - 4456435/308. What is the common denominator of q and 1/308?
308
Let p = -8747817/250 - -34991. Find the common denominator of 63/250 and p.
250
Let k = -625 - -632. Let j(g) = -g**2 + 20*g - 87. What is the smallest common multiple of 66 and j(k)?
132
Let o(m) = 279*m - 276*m - 25 - 22. What is the lowest common multiple of o(17) and ((-12)/5)/((-1)/5)?
12
Let v = -22100159/258 - -85659. What is the common denominator of -42/11 and v?
2838
Suppose -3*d + d + 327 = -h, 2*h - 5*d + 654 = 0. Let c = 595 + h. Calculate the least common multiple of c and 10.
1340
Suppose 0 = g + 14*g - 375. Calculate the least common multiple of 1600/g*(1 + 0) and 128.
128
Let f = -2/16927 - -220071/169270. Find the common denominator of f and (416/40)/(7/(-5)).
70
Let p be 12949415/24*(6 + -8). Let j = p - -1080009. Let o = -889 + j. Find the common denominator of o and -1/6.
12
Let d(g) = -g**3 + 24*g**2 - 10*g - 22. Let x be d(24). Let j = -152 - x. What is the smallest common multiple of 15 and j/6 + 3/(-9)?
90
Find the common denominator of ((-160650)/11120)/35 - (-2)/5 and 46/9.
50040
Let n = 544967/64 + -8516. Find the common denominator of n and -4 - (-74)/36*-3.
192
Let t = -1966 - -1988. What is the lowest common multiple of t and 11?
22
Let h = 119026 + -3928274/33. Let u = 127/264 + h. Find the common denominator of u and (6/(-10))/(92/(-250)).
184
Let y(s) = -s**2 + 5*s + 6. Let b be y(5). Let p be (-3825)/(-36) + b/8. Find the common denominator of 36/5 and ((-91)/(-98) - (2 - 1))*p.
70
Let t = 100277/60 - 2534. Let a = t - -3429/4. Calculate the common denominator of a and 58/45.
45
Let u be -5 + (-28)/(-16)*20. Suppose -3*k - 2*k + 98 = 2*r, u = k + 3*r. Calculate the smallest common multiple of k and 160.
1440
Calculate the common denominator of 9/4046 and (-325)/(-408)*1413/80070.
32368
Let k(y) = -3*y**2 - 204*y - 1114. Calculate the lowest common multiple of 289 and k(-6).
578
Let c(l) = 33*l - 6. Let j be (-1)/1*5/((-5)/2). Let s be c(j). Suppose -s = 54*a - 59*a. What is the lowest common multiple of a and 8?
24
Let u = 13 + -28. Suppose 2*h = -188 - 122. What is the common denominator of 1/(-4) - h/u and -79/20?
60
Let j = -6873595/109032 + 3529/56. Find the common denominator of j and 5/21.
13629
Let x = 50 + -36. Let z = 64 + -46. Suppose -i + z*i = 850. Calculate the lowest common multiple of i and x.
350
Suppose 1153 + 4343 = 12*l. What is the lowest common multiple of l and 20?
4580
Suppose -4*v = -q - 16, 0 = 5*q + 40*v - 36*v - 40. Find the common denominator of 36/(-6)*(-44)/498 and 9 - q - 665/50.
830
Let g = 22405/266 + -1504/19. Suppose 0 = -0*r + 3*r - 6. Calculate the common denominator of 0 + r + 966/28 and g.
14
Let j be 0 + 114 + -6 + -4. Let k = j - 86. Calculate the lowest common multiple of 30 and k.
90
Suppose 0 = 38*z - 117*z + 397 + 3711. Suppose r + 0*h - 146 = 4*h, 2*r + 2*h = 252. Calculate the lowest common multiple of z and r.
260
Suppose 6*z + 5 + 7 = 0. Let f be (-12)/6 + (z - -9). Suppose 0 = -f*h + 3*h + 4. Calculate the lowest common multiple of 3 and h.
6
Suppose -14*t = -61*t + 3168 + 3036. What is the smallest common multiple of 352 and t?
1056
Let f = -5184610/10353 + 7011/14. Find the common denominator of 61/5 and f.
14790
Let s(h) = h**2 + 6 + 29 - 4*h - 56. What is the lowest common multiple of 5 and s(8)?
55
Let q = -3/118583 - 15771053/19210446. Find the common denominator of -22/387 and q.
6966
Let l = 23233 + -23226. Suppose 5*u = -28 - 2. Calculate the smallest common multiple of 4 and ((-20)/l)/(u/21).
20
Let a(d) = -2*d**3 - d**2 - 1. Let l(s) = -11*s**3 - 13*s**2 + 12*s - 10. Let r(g) = 5*a(g) - l(g). Calculate the least common multiple of r(-9) and 104.
416
Suppose -297 = -11*i - 0*i. Let j(q) = -3*q + 48. Calculate the lowest common multiple of j(11) and i.
135
Let o be ((-740)/(-6))/((-5)/15). Let x be (804/(-32))/((-9)/o). Let u = -4035/4 - x. Calculate the common denominator of u and 17/8.
24
Let c be (-40 + 35)/(28/5). Let q = 671/252 - c. What is the common denominator of q and 76/27?
27
Let d = -46313/99 - -468. What is the common denomi