10800 = -3*w - a. Let f = -133205/37 + w. Let n(l) = -l**3 + l**2 + l - 16. Calculate the common denominator of n(0) and f.
37
Let n be 20/(-16)*49172/(-110). Let f = 559 - n. Let k = 263647/18 + -14655. Calculate the common denominator of k and f.
198
Let l = -90 - -150. Let o be (-22420)/6*l/(-144). Let h = 3099/2 - o. Find the common denominator of h and -119/6.
18
Suppose 3*l - 3*n = l - 17, -4*l + 3*n = 31. Calculate the common denominator of (436/(-6)*1)/(-4) and 14/(l/((-14)/(-9))).
18
Suppose -i + 5*v + 6 = 0, 3*i - 3*v - 18 = -7*v. Suppose -i*p + 1330 = -4*p. What is the common denominator of (5/(-2))/5 - p/90 and 31/12?
36
Let b(v) = v**2 - 43*v + 468. Calculate the lowest common multiple of 123 and b(21).
246
Let z(l) = 8*l**2 - l - 1. Let d = -7 - -5. Calculate the smallest common multiple of (-1)/((5 - 2665/546) + (-4)/14) and z(d).
66
Suppose -38*q = -146*q + 12960. Calculate the smallest common multiple of q and 285.
2280
Suppose 0 = -h - 2*g + 135, 58*h - 61*h + 395 = 4*g. What is the lowest common multiple of 225 and h?
1125
Let u be (-6)/(-10) + 2793/420. Let b = 7/12 - u. Find the common denominator of b and -19/10.
30
Let c = -114 + 161. Let w be (-1 - c)/(-2 - (-16)/12). Let d = -66 + w. What is the smallest common multiple of d and 12?
12
Let y = -483 - -608. Suppose 0 = -11*c + y + 337. Calculate the least common multiple of c and 78.
546
Suppose -3*x + 88 = 4*l, 5*x + 19*l - 116 = 20*l. Calculate the least common multiple of 4413 and x.
35304
Let x = -67/15 - -407/15. Let y = -6369301/8 + 792736. Let q = y + 3417. Find the common denominator of q and x.
24
Let c be 951/27 + (-8)/36. Suppose -3*t + 80 - c = 0. What is the lowest common multiple of 54 and t?
270
Suppose -72713 - 59287 = -200*a. Calculate the smallest common multiple of 12 and a.
660
Find the common denominator of -8 - ((-231472)/1344)/23 and 61/28.
84
Find the common denominator of 145/84 and (145/(-24))/((120/84)/((-24)/21)).
84
Let k(y) be the third derivative of y**5/60 + 7*y**4/24 + y**3 - 5*y**2. Let c be 4/(-28)*-1 - (-114)/(-14). Calculate the least common multiple of 26 and k(c).
182
What is the common denominator of -163/510 and (-2185)/228*1*4/40?
2040
Let q = 245407/26970 - -2/2697. Find the common denominator of q and -133/660.
660
Suppose b + 3*b - 730 = t, 2*b + 2260 = -3*t. Find the common denominator of 0 + (t/9)/5 and (-130)/(-56) - (-39)/(-52).
21
Suppose 3*f + 4*r = -0*r + 8, 2*r = -3*f + 16. Suppose 7*a = 2*a - v + 199, 4 = -4*v. What is the least common multiple of a and f?
40
Let f(m) = -m**3 - 5*m**2 + 4*m - 7. Let t = -241 - 303. Let u = 552 + t. Calculate the least common multiple of u and f(-6).
40
Let n(p) = 4*p**2 - 41*p + 1. Let t be n(15). Find the common denominator of 9/4*t/55 and ((-1)/(-1))/((-10)/(-22)).
10
Let v be (-2)/10 + (-2176)/(-80). What is the common denominator of 6097/2574 + 6/v and (-6)/16*(-28)/(-18)?
132
Let i be 2/((60/85)/(-6)). Let h be (i + 4 - -1)/(-1). Calculate the common denominator of -19/24 and (-26)/12*(h + -20).
24
Let s(r) = -8*r - 106. Let z be s(-23). Suppose z*q + 40 = 80*q. Calculate the lowest common multiple of 140 and q.
140
Let a be (-12)/(-4) - 150 - 3/1. Calculate the smallest common multiple of (990/a)/((-1)/50) and 4.
660
Let z = 14551351/126 - 115488. What is the common denominator of 23/1554 and z?
4662
What is the common denominator of -157/468 and 5/105 - 4175/210?
468
Let q = 101 - -34. Let s = q - 124. Calculate the smallest common multiple of s and 3/(2 + -1)*3.
99
Let h be (-1)/(-1) - (-1 + 5). Let l = -1 - h. What is the common denominator of l/7 - 143/231 and -47/11?
33
Suppose 75 - 586 = 5*j + l, 0 = -2*j + 3*l - 218. Calculate the common denominator of (j/(-24))/(60/8 + -7) and -51/4.
12
Suppose 2 = -f, -3*v + 5*f + 0*f = -235. Suppose 9*a = 12*a - v. What is the smallest common multiple of 50 and a?
50
Let a = -319 + 294. Calculate the lowest common multiple of (0 - -4)/((-5)/a) and 14.
140
Let q = 7/5706 + 139187/1272438. Find the common denominator of -113/30 and q.
6690
Let g be 435/9 - 0*(-3)/(-9). Let d = 55 - g. Calculate the common denominator of d and (-74)/4*(-7)/28.
24
Let g = -143 + 158. Suppose -6*t + g*t = -27. Let n = 37 - t. What is the least common multiple of n and 12?
120
Let h = 17 - 63. Let z = -46 - h. Let m(u) = -u + 9. What is the smallest common multiple of m(z) and 7?
63
Let x(z) = -z**3 - 8*z**2 + 19*z + 18. Let c be x(-12). Calculate the common denominator of -14/81 and 20/(-324)*c/(-30).
81
What is the common denominator of 95/752 and 2/(-16)*(-28078)/(-1112)?
1504
Let d = 1603740/77 + -20827. Let j = 891/19 + -56551/1197. Calculate the common denominator of d and j.
693
Let c = -2360200199/2052 - -1150195. What is the common denominator of c and -85/2?
2052
Suppose 169 = 3*s + 112. Suppose -d = 5*w + 10, -4*w - 4*d - s - 5 = 0. Calculate the common denominator of 4*w + 87/4 and -143/18.
36
Suppose -80*k + 37*k + 3915 = -28*k. Calculate the least common multiple of 27 and k.
783
Suppose 112 = 395*w - 390*w + 3*h, w + 3*h = 32. Let u(t) = 2*t**3 - 3*t**2 + 2*t - 2. Calculate the lowest common multiple of u(2) and w.
60
Let g be (-6)/2 + 318444/106152. Let b = 716485/362686 - g. Let u = 3742/2911 - b. What is the common denominator of -99/2 and u?
142
Suppose -3*h = -4*a - 23, h + 5*a + 0 = -5. Suppose -h*i - f + 44 = -4*f, -2*f - 26 = -3*i. Find the common denominator of 89/8 and (402/(-40))/(12/i).
8
Suppose 0 = -12*x - 5 + 29. Suppose x*n - 3 - 13 = 0. Calculate the smallest common multiple of n and 246.
984
Let x be 795/24*4 - 1/2. Suppose 3*y = -3*j + x, 220 = 5*j + 3*y + y. Suppose h - 16 = -0. What is the least common multiple of h and j?
176
Let c(u) = 6*u**3 - 6*u**2 + 7*u - 4. What is the least common multiple of c(2) and (-36)/(-4) - -1*(6 - 3)?
204
Calculate the least common multiple of ((-1023)/22)/((-5)/10) and 117.
3627
Let t = 28/1447 + -80471/195345. Calculate the common denominator of t and 88/45.
135
Let w = -1278148061/10411 - -122769. Let k = 884923/62466 - w. Let i = 271631/3036 + -2066/23. Calculate the common denominator of k and i.
132
Let f = 186/5641 - -515051/2685116. Find the common denominator of f and -29/1190.
2380
Let k(a) = -31*a - 177. Let s be k(5). Let w = s - -338. What is the smallest common multiple of 6 and w?
6
Let i(s) = s**2 - 18*s + 2. Let u be i(18). Let g be u/6*(-11060)/(-64). Let w = g + -115/2. What is the common denominator of w and -69/4?
48
Let q be -1 + -8 - 2*(1 + 0). Find the common denominator of 3/(q/((-484)/(-56))) and 25/94.
658
Let v(p) = -13*p**2 + 23*p - 2. Let k be v(5). Calculate the common denominator of (-4 - (-3)/1)*k/(-60) and -1/30.
30
Suppose -615 = 2*a - 2743. Let m be (-19)/38 - 113/(-2). Calculate the common denominator of 1074/a + (-16)/m and -101/18.
684
Suppose 0 = -7*v + 9 + 19. Suppose -4*s - 3*g + 29 + 14 = 0, -4*g = -v*s + 36. What is the lowest common multiple of 8 and s?
40
Let u = -23 + 27. Suppose 5*r = 5*a + 280, -a = u*r + a - 212. What is the smallest common multiple of 8 and r?
216
Let x = 262145/18 + -14556. Let v = 264419/12 + -22041. Calculate the common denominator of v and x.
36
Let y = -126/5017 + -487313/772618. What is the common denominator of 101/112 and y?
1232
Suppose -2*z + 1164 = 3*v + 1252, 116 = -4*v - 3*z. What is the common denominator of -33/65 and v?
65
Let l = -1638/145 + 2728387/241280. Calculate the common denominator of l and -55/8.
1664
Find the common denominator of 1370/100 + 4 - 12 and ((-128)/(-6) + -1)/(-1).
30
Let b(y) = 86*y + 2. Let i be (-16)/72 - (-32)/(-18). Let a be b(i). Calculate the common denominator of 99/14 and ((-196)/64 - -3)*a.
56
Calculate the least common multiple of 470 and ((-24808)/(-66))/2 + 264/4356.
940
Find the common denominator of (-86)/(-172) - ((-1914)/9)/(-11) and 2/8 - (-38)/288.
144
Let u(t) = -12*t + 552. Calculate the smallest common multiple of 528 and u(37).
4752
What is the common denominator of 4/1001 and 42 + (-49258)/1210 - 2/10*-4?
1001
Let g = 21335681/3528195 - 102/21383. Let b = 98/11 - g. What is the common denominator of b and 55/39?
195
Let w(c) = 11*c**2 + 44*c + 23 - 4 - c**3 - 55*c. Let t be w(10). What is the lowest common multiple of (-2 + 78/t)*(-3)/(-2) and 20?
20
Let j