**3 + 2*h**2 - 24*h + 44. Calculate the lowest common multiple of u(5) and 14.
33068
Suppose -m - 51760 = 3*m. Let u be (452763/75 - -1)*(-315)/147. Let d = m - u. What is the common denominator of d and 77/8?
280
Let l be (19518/(-72))/(6/(-14)). Let i = l + -2509/4. What is the common denominator of (-12075)/(-3500) - (-18)/(-28)*21/18 and i?
90
Suppose 2*q = -2, 0 = -4*m + 3*m + 2*q - 7. Let j(n) = -n**3 - 9*n**2 - 2*n - 15. Calculate the smallest common multiple of 21 and j(m).
21
Let m(d) = d - 1. Let w(x) = 3*x + 24. Let a be 3*(-8)/(-36) + (-34)/6. Let u(i) = a*m(i) - w(i). Calculate the smallest common multiple of 2 and u(-3).
10
Let h = 1549590713/1353072 - 53/64432. Let k(a) = -305*a + 74. Let t be k(4). Let f = h + t. Calculate the common denominator of 37/21 and f.
21
What is the common denominator of -53/27 and ((-25)/355)/(-5)*(-5)/(-6)?
3834
Let z = -126 - -119. What is the least common multiple of (-12)/2 + (z - -37) and 20?
120
What is the common denominator of 1331/66 + (1 - (1 - 2)) and ((-22)/4)/((-10)/(-35))?
12
Suppose 5*h + 50 = w, 3*w + 5*h = h + 112. Let q = -17 + 27. Calculate the least common multiple of q and w.
40
Let c = 177967/289730 - -1/28973. What is the common denominator of c and 41/112?
560
Let w = -29 - -11. Let d be -4*3/(w/471). Let k = -961/3 + d. What is the common denominator of -15 and k?
3
Let r(g) = 1550*g - 17698. Calculate the lowest common multiple of 533 and r(12).
11726
Let v = -27/1553 + 91626/178595. Find the common denominator of -33/1426 and v.
7130
Let h = 221 + -217. Suppose 22*v + h*p = 23*v - 21, 3*v = 2*p + 23. What is the least common multiple of v and 105?
105
Suppose -15525*g + 15530*g = 1065. What is the lowest common multiple of 2 and g?
426
Suppose -19*g = -7*g - 468. What is the lowest common multiple of 14 and 6*7/4*52/g?
14
Suppose 0 = -17*v + 12357 + 13551. Calculate the least common multiple of v and 10.
7620
Let q = -8204/9 + 1827/2. Let i = -3274 + 26103/8. What is the common denominator of q and i?
72
What is the common denominator of 428/72*(1 - -2) and 3660/288 - 7/2*(5 + -3)?
24
Let g(k) = -109*k + 6899. Calculate the common denominator of -75/356 and g(63).
356
Let d = -50466 + 61215243/1213. What is the common denominator of -97/10 and d?
12130
Suppose -4*g - 4*f + 8 = -28, -21 = -4*g - f. Let w be ((-5)/g)/(-5) - (-895058)/312. Let v = w - 17237/6. What is the common denominator of v and 101/6?
78
Find the common denominator of 79/33 and (-394)/(-3732)*38 + (-1732)/433.
10263
Let u = -184646397/3689200 - 30408/9223. Let r = u + 1254/25. Find the common denominator of -39 + 35 - (2 + 135/6) and r.
16
Suppose -8 = 2*p + 2*p. What is the lowest common multiple of (p - (-6)/4)/(1/(-32)) and 6?
48
Let r(w) = w**3 + 6*w**2 + 3*w - 5. Let i be r(-5). Suppose i*z - 51 = 39. What is the lowest common multiple of z and (-12)/(-10) + 9 + 168/(-40)?
18
Suppose -43*t - 9054 - 55413 = -130*t. What is the lowest common multiple of t and 390?
7410
Let x = 4700/2383 + -6511857/548090. Let o be (-4)/(-6) + 30178/(-65895). Let n = o + x. What is the common denominator of n and 93/10?
10
Suppose -59 = -49*x + 38*x + 51. What is the smallest common multiple of x and 4487?
44870
Let o be 19*1 + (-1 - -1). Let p(r) = -r**3 + 19*r**2 + 3*r - 49. Let y(g) = g**2 + 5*g + 2. Calculate the smallest common multiple of p(o) and y(-5).
8
Let c = 45 + 543. What is the least common multiple of 1568 and c?
4704
Let m be 164/12 + (2/6 - 1). Let n = -9 + m. What is the smallest common multiple of n and 8?
8
Let a(q) = -2*q**2 - 31*q - 11. Let r be a(-15). Suppose 7*y - 2*y + 428 = r*j, 4*j = 3*y + 420. What is the smallest common multiple of j and 20?
1020
Suppose 3*r = -19*r - 201564. Let q = r - -384763/42. Calculate the common denominator of q and -139/6.
42
Let l(u) = -u**3 - 6*u**2 - 3*u - 23. Let r be l(-6). Find the common denominator of r + 931/(-1260)*-4 and -53/45.
45
Let h = 3695 + -36937/10. What is the common denominator of h and 83/188?
940
Let a = 437505801/6338 - 69029. Let t = a + -93484/9507. Calculate the common denominator of (-1001)/26*924/(-5292) and t.
18
Let s(v) = 128*v + 388. Let n = 165 - 78. What is the lowest common multiple of n and s(-3)?
348
Let w = -15 - -11. Let z be ((-94)/w)/(-1) + (-186)/(-124). Let x(o) = -o**3 - 22*o**2 - 3*o - 33. What is the lowest common multiple of 6 and x(z)?
66
Let c be (84/26)/((-12)/(-27)). Let v = c + 11/104. What is the common denominator of v and -50*(-13)/468 + 3?
72
Let b = -14804 + 14814. Suppose w + y = 5, 0 = -w + 3*y - 2 - 1. Calculate the least common multiple of b and w.
30
Suppose -2381 = -47*g + 5562. Calculate the smallest common multiple of 104 and g.
1352
Let y(c) = c**3 - 143*c**2 + 271*c + 1552. What is the lowest common multiple of 831 and y(141)?
831
Let d(h) = -12*h - 78. Let z be d(-7). Find the common denominator of 31/28 and z - 5 - (-411)/(-132).
308
Let a be (-42)/(-126) - (-40)/(-3). Let r = -37 - -53. Let u = a + r. What is the least common multiple of u and 24?
24
Let x = 57 + -55. Suppose -3*c = -n, x*n - 24 = -5*c + 3*c. Calculate the common denominator of -1 and ((184/3)/(-4))/((-12)/n).
2
Let s = 228969 + -30223747/132. What is the common denominator of 157/156 and s?
1716
Suppose 0 = -i - 6 + 6. Let l(r) = 3*r. Let x be l(i). What is the common denominator of -3/5 and 232/(-82) + 2 + x?
205
Let v = -15 + 20. Suppose -i + v = -5. Suppose 45 = -i*l + 105. Calculate the smallest common multiple of 14 and l.
42
Calculate the lowest common multiple of (18/10)/((-27)/(-90)) and 585.
1170
Let w(f) = -15*f**2 + f - 10. Let b be w(3). Let n = 146 + b. What is the lowest common multiple of n and 14?
28
Let w = -63466 + 18786025/296. What is the common denominator of w and 57/32?
1184
Let w = 23/2525 + 12021433/10100. Let b = 1199 - w. Calculate the common denominator of 52/85 and b.
340
Let c(h) = 7*h**2 - 61*h + 112. Let p(r) be the first derivative of r**2 - 4*r + 3. Calculate the least common multiple of p(11) and c(2).
18
Calculate the common denominator of -79/16 and (-7707)/(-7608) - ((15 - 8) + -6).
5072
Let l = 479 - 321. Suppose -12*v + 70 = 23*v. Suppose 2*w = 4*w - v*r - 28, 0 = -4*w + 2*r + 64. Calculate the least common multiple of w and l.
1422
Suppose 4*d + 2*t + 622 = 0, 4*t - 62 + 526 = -3*d. What is the common denominator of 1027/d + 4 + -1 and -55/12?
12
Let y = -13461907/7 + 1919217. Let g = 820751/210 + y. Calculate the common denominator of g and ((-259)/1 - 3)*(2/24)/1.
30
Suppose -2*b = 2*n - 2, -2*b - 5*n + 21 = -b. What is the common denominator of 178/8*(-6)/12 and -2*(b - -2) + (-205)/76?
152
Suppose -8*o = -1466 + 457 - 671. Calculate the least common multiple of 441 and o.
4410
Suppose 16*j = 48*j + 16320. What is the smallest common multiple of (3/9)/(2/18) and 3*24/10 - (-102)/j?
21
Suppose 0 = 20*f - 4*f + 192. Calculate the common denominator of 571/120 - f/60 - 4 and 73/28.
168
What is the common denominator of 623/(-91) + 6/2 and 766/(-476) - (-327)/(-1526)?
221
Suppose -95*p = 27 - 692. Calculate the least common multiple of 209 and p.
1463
Suppose -5*j - 5*y + 23 = -2, -3*y - 3 = -3*j. Let z = -7 + j. Calculate the common denominator of z and 3 + (-141)/60 - (-18)/30.
4
Let t(f) = -f**3 + 2*f**2 - 235*f + 30. Calculate the smallest common multiple of (-3)/12 - 481/(-4) and t(0).
120
Let y = 13019 - 1002482/77. Let t = -4534/3 - -317437/210. Calculate the common denominator of y and t.
770
Suppose 3*k + 10 + 191 = 3*p, -3*k - 321 = -5*p. Suppose 0 = 2*t + 3*t - 165. What is the lowest common multiple of p and t?
660
Suppose -5*z = -v - 3*v - 49, 2*v + 47 = 5*z. Let o = 38 - 17. Let h = o - 15. Calculate the lowest common multiple of z and h.
18
Let l be -442*49/((-8624)/192). Let y be ((-4)/(-6))/((-44)/(-33331)). Let a = y - l. What is the common denominator of a and -1/64?
192
Suppose -5*q + w = -79, 5*q + w + 10 = 81. Suppose q*g = 10*g + 55. Calculate the least common multiple of g and -11*(24/(-40) - 4/10).
11
Let r be (-30)/(-4)*(-14 - 22). Calculate the common denominator of -53/38 and (-3255)/r + (-4 - 2).
342
Suppose 287 = -3*m + 299. Suppose -4*o - y + 143 = 0, 4*o - 100 = 4*y + 48. Calculate the lowest common multiple of o and m.
36
Let w = -3541 - -134567/38. L