6
Calculate the common denominator of -46/75 and (-110)/35*((-10)/(-35) + 4348/(-14532)).
12975
Let l = -30/15733 + 645893/440524. Calculate the common denominator of 515/12*(-2)/70 and l.
84
Suppose 1507*v = 1512*v - 4*m - 2292, -m - 459 = -v. Calculate the smallest common multiple of 93 and v.
14136
Suppose 50 = 67*w - 71*w + 850. Calculate the smallest common multiple of w and 800.
800
Suppose -2*q + 5 = 3. Suppose 0 = y - q, -n + 5*y - 4*y + 10 = 0. What is the least common multiple of 0 + 16/(-4)*-6 and n?
264
Let o be (((-30)/(-4))/5)/((-3)/104). Let d = 44 + o. Calculate the common denominator of ((-12)/(-1))/(171/(-18) - d) and 7/12.
12
Suppose -76*z = -74*z. Let k be z - 88 - (0 + (3 - 0)). Calculate the common denominator of 133/12 and 112/k*5/(-3).
156
Suppose 0 = 11*p - 6*p + 10, 5*p = 2*l - 16. Let b = l + 22. Calculate the smallest common multiple of b and 105.
525
Suppose 8*v = -0*v + 160. Let d = v + -29. Let q(g) = 3*g + 31. Calculate the smallest common multiple of 4 and q(d).
4
Suppose -4*c - 7215 = r, 0 = 2*r + 2*c - 7*c + 14469. Let h = r + 245615/34. Calculate the common denominator of h and -81/10.
170
Calculate the lowest common multiple of 130 and ((-1 - -10)*-1)/((-78)/780).
1170
Let p = 437726 + -386074159/882. What is the common denominator of -101/216 and p?
10584
Let u be (-42)/(-12) + -2 + 14/4. What is the lowest common multiple of (6/u)/(-6) - (-224)/20 and 122?
1342
Suppose -4*q = 5*k - 544, k - 4*q - 132 = q. Suppose 368*a - 4488 = 1400. Calculate the lowest common multiple of a and k.
112
Find the common denominator of -79/560 and (-324)/(-28) + 2 + 40/(-4).
560
Let m = -8572 + 8704. Calculate the lowest common multiple of m and 187.
2244
Let k = 10490 + -10466. What is the smallest common multiple of (-5)/(-2) + 1/(-2) and k?
24
Let c be (0 + -564202)*195620/(-1320). Let j = c - 83621492. Let q = -8464 - j. Calculate the common denominator of 7/18 and q.
198
What is the common denominator of -57/1840 and (0 - 24/(-40))/(256/38)?
14720
Let v(q) = 29*q**2 + 5*q - 3. Let y be v(-3). Calculate the least common multiple of 6 and (-2 + -1 + 2)/((-9)/y).
54
Suppose -262*v + 13125 = 403 - 4570. Let g(m) = m**3 + 6*m**2 - 5*m. What is the lowest common multiple of v and g(-6)?
330
Let m(z) = z**2 - 7*z + 6. Calculate the least common multiple of m(9) and (-1 + 2)*3*(140/21 - -8).
264
Let p be 1 - 558561/(-35) - (7 + -5). Let g = p + -15956. Find the common denominator of g and 73/35.
35
Suppose 382 - 70 = 6*b. Suppose 57*j - b*j - 280 = 0. What is the lowest common multiple of 64 and j?
448
Suppose 300 + 840 = -4*j. What is the lowest common multiple of 10 and j/(-38)*(-1 - (-57)/9)?
40
Let y be -3*(-25)/(-30)*(-28)/10. Suppose 3*r - 5*p = 49, -y*p + 2*p = -r + 33. Calculate the least common multiple of 3 and r.
24
Let z = -2382/19 - 9187/76. Let n = -4803/20 - z. What is the common denominator of -123/190 and n?
190
Suppose -25*o + 114 = -36. Let u be 0*(0 + -1)/(-2). Suppose u*x + 4*x - 132 = 0. What is the least common multiple of x and o?
66
Let q = 5184 + -5180. What is the smallest common multiple of q and 2360?
2360
What is the common denominator of ((-1)/15)/(-7 - 14/(-4290)*2019) and -23/12?
1764
Let h = -6594255/92 - -71676. Calculate the common denominator of h and 28/69.
276
What is the lowest common multiple of -80*((-9)/(-1) - 711/18) and 16?
4880
Let b(s) = s**3 - 26*s**2 + 24*s + 25. Let h be b(25). Suppose -7*l + 0*l + 14 = h. Suppose 0 = -4*k + l + 14. What is the least common multiple of k and 16?
16
Let v = -2677 - -2809. Calculate the least common multiple of 88 and v.
264
Let h be (2/113)/(1317667/13). Let s = 960805374961/183257072 - h. Let k = s + -5245. Find the common denominator of k and 39/22.
176
Let p = -1750590799 - -176806708040/101. Let k = -29333 - p. What is the common denominator of k and -39/8?
808
Let h = -2517 - -2523. What is the least common multiple of 55 and h?
330
Let z be (-2)/7 - ((-12115)/(-350) - -8). Let h = z - -87/2. Calculate the common denominator of h and 115/66.
330
Let n = -2778 - -2786. Let h = -44/63 + -2659/252. Find the common denominator of h and n.
4
Let v = -7871/10 - -782. Let q = -8 - -48/5. Calculate the common denominator of q and v.
10
Suppose 2*o + 9 = -5*q - 5, 2*q + 3*o + 10 = 0. What is the lowest common multiple of 66 and 57 + q/(2 + (-24)/18)?
594
Let a = -123 + 124. Suppose 7*y - 22 = -a. What is the lowest common multiple of 33 and y?
33
Suppose 5*m = 7*m - 24. Suppose 0 = -2*k - k - m, 4*u - 148 = 2*k. Let c = 44 - u. What is the lowest common multiple of 39 and c?
117
Let x = -8449 - -92978/11. What is the common denominator of x and -157/198?
198
Let i be -2 + 9 - (4/2 + -7). Suppose 18*g - 300 = -i*g. Calculate the lowest common multiple of 18 and g.
90
Find the common denominator of 10/847 and -1*(1/(-1) + (-244)/(-242)).
847
Let x = -1830327/302540 - 2/15127. Let y(w) = w**2 - 7*w. Let r be y(4). Calculate the common denominator of x and 7/r*20/(-28).
60
Let s be (-90201)/45102 - (-1 - 1). Let c = s + -311959/52619. Let u = -1/325 - -30889/4550. What is the common denominator of u and c?
14
Suppose -2813 = 12*r - 77. Calculate the common denominator of -25/2 and (3/(-1143))/(2/r + 0).
254
Let y = 9/919 - 20791/2029152. Let t = y + 90533/11040. What is the common denominator of t and -111/176?
880
Let z = 15064 + -12301. Calculate the lowest common multiple of z and 9.
2763
Let g(n) = -n - 3. Let l(z) = 5*z**2 + 36*z + 5. Let p be l(-8). Suppose 4*o = -9 + p. Calculate the lowest common multiple of g(-5) and o.
14
Let q = -40 + 41. Let f(m) = 2*m**2 + 10*m - 2. What is the smallest common multiple of f(-6) and (-30 - -31) + 13*1/q?
70
Let b = -180 - -170. Calculate the least common multiple of 2 and (144/20)/(b/(-25)).
18
Suppose -7724 = -4*p - 10*d + 9*d, -5*p + 9634 = -4*d. Calculate the smallest common multiple of p and 20.
3860
Let d(k) = k**3 - 34*k**2 + 33*k + 5. Let t be d(33). Let i(h) = 4*h - 14. What is the least common multiple of 15 and i(t)?
30
Let f = -389943/18549310 + -12/19123. What is the common denominator of f and 47/1746?
8730
Let z(o) = o + 35. Suppose 27*i - 25*i + 42 = 0. What is the smallest common multiple of 18 and z(i)?
126
Let w(d) = -2*d**2 + 13*d - 4. Let x be w(6). Suppose -4*j - 10 = -x*j. Let o(a) = 3*a + 24. Calculate the least common multiple of 15 and o(j).
45
Let p = 332/305 + -4/183. Let u be (-2)/5*(-1705930)/(-66). Let k = -10341 - u. What is the common denominator of k and p?
165
Let h = -1732589/70 - -220557/10. Let r = -2702 - h. Calculate the common denominator of 14/11 and r.
77
Let o be 2/((2 - 5) + 8865/105). Let d = o - 13451/2280. What is the common denominator of d and 17/9?
72
Suppose -3*a - 42 = 4*h, 4*h + 2*a + 20 = 2*h. Let b be -45*((-40)/h - 4). Calculate the common denominator of -83/4 and b/84*37/(-5).
28
Let n = 878683754521998249/436034 + -2015172565720. Let m = 3/9479 - n. What is the common denominator of 20/3 and m?
138
Let n = 25703 - 25479. Calculate the lowest common multiple of n and 196.
1568
Let g be (0 - 6/4)/(24/(-800)). Let l = g + -33. Suppose 2*c - 3*c + l = 5*r, 5*c - 5*r - 55 = 0. What is the lowest common multiple of c and 15?
60
Let s = 89 + -62. Let v = -69 - -72. Suppose -v*h + s = 3. Calculate the lowest common multiple of 9 and h.
72
Let i = -3254 + 3265. Calculate the smallest common multiple of i and 298.
3278
Let r(n) = 5*n + 47. Let z be r(-14). Let x be 0 + 3 + (16140434/60)/z. Let m = x - -11697. What is the common denominator of m and -73/3?
30
Suppose 11*y + 12*y = 2898. Let j = 18 + -19. Find the common denominator of j/3*329/y and 19/4.
108
Let i(v) = v**3 - 23*v**2 - 25*v + 30. Let j be i(24). What is the least common multiple of 50/3 + (80/15 - j) and 18?
144
Calculate the smallest common multiple of (3723/11 - 3) + (-156)/(-286) and 924.
3696
Calculate the smallest common multiple of (-4 - (15 + 1) - -5)*-55 and 330.
1650
Let x = 274 + -272. Calculate the smallest common multiple of (-2)/((-8)/(-18))*-6 and (820/28 - -4) + x/(-7).
297
Find the common denominator of -65/27 and (-1775)/(-1710)*-5*(-51)/(-49300).
119016
Let t = 10943 + -10891. Calculate the lowest common multiple of t and 260.
260
Let l = 19 - 40. Let u = 63 + -21. Find the