u - 16 = u + 3*v. Suppose 5*b + m = u*m + 1003, 5*b - 997 = 4*m. What is the common denominator of 61/22 and (3 - b/12) + 1?
44
Let j be (-1 - 12/(-8))*14. Let r be (-6 - -9)*j/3. Suppose l = -r + 40. Calculate the smallest common multiple of l and 24.
264
Calculate the common denominator of (-2)/44*2756/2544 and -67/682.
8184
Suppose 259*p = 197*p + 227490 + 72590. Calculate the lowest common multiple of p and 6655.
53240
Suppose 228*p - 24700 = 227*p. Calculate the smallest common multiple of 9/(-21) + p/140 and 10.
880
Let d = -15387/10 + 1537. Let m = 45958 - 2389847/52. Calculate the common denominator of d and m.
260
Let x = 24/841 - 132589/726624. Calculate the common denominator of 29/624 and x.
11232
Let q = 10/15697 - -1050739/1506912. Calculate the common denominator of -71/92 and q.
2208
Let y = 28 + -81. Let i = 37 + y. Let t = i + 50. What is the least common multiple of t and 2?
34
Let o = 120398741/764 - 157590. Find the common denominator of -87/2 and o.
764
Let d(o) = 32*o**2 + 3*o - 31. Let x(w) = w**3 - 8*w**2 + 8*w + 9. Calculate the least common multiple of d(-3) and x(7).
496
What is the least common multiple of 180 and 7/(7/(-6)) - (-2)/(38/30039)?
6300
Calculate the common denominator of ((-60)/(-33) + 2)*(-4)/(-496) and -65/124.
1364
Let l = -20153/6 + 3379. Let r = 20192 + -7154. Let o = r - 234547/18. Calculate the common denominator of o and l.
18
Suppose -l = 10359 - 11043. Calculate the lowest common multiple of l and 9.
684
Suppose 5692 + 1231 = 23*j. Let w = -277 + j. Calculate the lowest common multiple of w and 42.
168
Let n = 49856964/715 + -69730. Find the common denominator of 54/25 and n.
3575
Let l = -37175/8 - -4638. Let c be 2/(-6) + (-78)/(-18). Calculate the common denominator of (88/(-3) - -2)/c and l.
24
Let l = -45 + 48. Suppose -l*y = -y - 8, 0 = j - 3*y + 11. Calculate the smallest common multiple of (j - 0 - -5)/1 and 12.
12
Suppose 1175 = 2*z + f, 53*f = 4*z + 54*f - 2351. Calculate the least common multiple of z and 6.
588
Suppose 0 = 2*f + 16*f + 162. What is the common denominator of -45/11 and (5/(-110))/(f/216)?
11
Let x = 37 + -32. Suppose -5*k = 3*z - k + 10, -4*z + 28 = -x*k. Find the common denominator of 39/44 and (-225)/70 - (6 - (z + 1)).
308
Let d = 1104/1585 + 27382909/38040. Let r = -1439/2 + d. What is the common denominator of 35/24 and r?
24
Let k = -168 - -193. Suppose 23*g = k*g - 230. What is the lowest common multiple of g and 11?
1265
Suppose 0 = 2*l + 5*l - 560. Let d = -74 + l. What is the smallest common multiple of 10*-2*d/(-20) and 12?
12
Let h = 242429/2719290 - 114/2815. Find the common denominator of h and 7/30.
4830
Let g(w) be the third derivative of w**6/120 - 2*w**5/15 - w**4/24 + 7*w**3/3 - 127*w**2. What is the least common multiple of 24 and g(8)?
24
Find the common denominator of (41/(-18))/(((-44)/165)/(3/15)) and -109/3408.
3408
Suppose 7*r - 8414 = 1666. What is the smallest common multiple of 1120 and r?
10080
Suppose -5*l = 3*c, c = 2*l - 7 - 4. Calculate the smallest common multiple of 86 - 0 - l - (0 + -1) and 3.
84
Suppose 0 = -3*x - 4*i - 158, -3*i = -3*x - 6*i - 159. Let l = x + 51. Calculate the lowest common multiple of 7 + (-1)/(l/9) and 9.
90
Suppose 70*b + 58 - 122 = 356. What is the smallest common multiple of b and 138?
138
Let x(o) = -o**3 + 17*o**2 + 18*o + 10. Suppose -q = 5*t - 16, 5*t - 31 + 170 = 4*q. Let g = q - 13. What is the lowest common multiple of 20 and x(g)?
20
Let z(o) = o**3 - 31*o**2 + 29*o - 51. Let q be z(30). Let t = 653/8 + q. Calculate the common denominator of t and 53/336.
336
Let l = 2/428391 + -8710783/35556453. Find the common denominator of -34/9 and l.
747
Calculate the smallest common multiple of 5264/(-17 - -33) - -4 and 3.
333
Suppose -18*h + 13585 = 1525. What is the lowest common multiple of 402 and h?
2010
Let l = 26965 + -18495. What is the common denominator of (-2)/20 - (-7887)/l and 25/91?
1001
Let r = -3131 - -31427/10. What is the common denominator of 8/73 and r?
730
Let w = -213 - -217. Suppose -5 = w*k - 1, -3*u + 100 = -k. Calculate the least common multiple of 210 and u.
2310
Let p be 39/52 - (-6)/(-8). Let g be (-52595)/15 - (p - -1). Let j = g - -42233/12. Find the common denominator of 109/12 and j.
12
Let p(x) = -50*x**3 - 5*x + 3. Let f be p(5). Calculate the common denominator of 27/13 and 8/6 + f/735.
65
Suppose 1933 = 90*s - 427 + 560. Suppose 3*i = 2*v - 208, 0*i - 200 = -2*v + 5*i. Calculate the least common multiple of v and s.
220
Let f(t) = -t**3 - 24*t**2 - 119*t + 171. What is the lowest common multiple of 21 and f(-18)?
2583
Suppose 5*r + 85 - 230 = 0. Let h be ((-17)/(-2))/((-20)/40). Let i = h + r. What is the lowest common multiple of 14 and i?
84
Let g = 1711/3420 - 59/180. Find the common denominator of g and 59/38.
342
Calculate the common denominator of -40/1219 and (-672)/(-384)*(24/(-795))/2.
6095
Let a = -6176 + 6951. What is the smallest common multiple of a and 1550?
1550
Suppose 0*i + 3*i - z + 4 = 0, 0 = 5*i - 3*z + 12. Suppose -6*d + 4*d + 24 = i. What is the smallest common multiple of (12/(-7))/((-24)/(-14) + -2) and d?
12
Let g(v) be the second derivative of -v**5/20 - 13*v**4/12 + 8*v**3/3 + 24*v**2 + 5*v + 5. What is the lowest common multiple of 16 and g(-14)?
80
Let k = -82 - -82. Suppose 0 = -7*g + 4*g + 6, 3*w + 5*g - 43 = k. Calculate the least common multiple of w and 25.
275
Let n be 14/28 - (-111)/2. Calculate the common denominator of 2 - (-60)/(-33) - 991/66 and n/(-12) + (-4)/10.
30
Suppose 37*b + 4132 = 126*b - 12689. Calculate the lowest common multiple of b and 294.
2646
Let g(h) = -13*h**2 - 40*h + 55. Calculate the lowest common multiple of g(-4) and 77.
77
Let p be -2 - (3*-1 - 2). Suppose 0 = -13*v - 33 + 72. Suppose 5*l = -2*r - v, 7*r = p*r - 2*l + 34. Calculate the least common multiple of 8 and r.
88
What is the least common multiple of 3687 and (16/(-20))/(72/(-180))?
7374
Calculate the common denominator of -85/1029 and (10/(-462))/((-105)/(-204)).
11319
Let l = 45873997/1606 - 545031/73. Let u = l - 21102. What is the common denominator of u and ((-1)/4 - 15/(-12)) + 34/(-36)?
198
Suppose 0 = -11*d + 7769 - 509. Calculate the lowest common multiple of d and 30.
660
Let v = -27922 - -28027. What is the smallest common multiple of v and 567?
2835
Let h(j) = -j**3 - 8*j**2 + 6*j + 4. Let a be h(-8). Let n be (33/a)/(2/48). Calculate the common denominator of 19/22 and -1 - (-4 + (-157)/n).
198
Let w = -1586 + 205. Let p = 8171/6 + w. What is the common denominator of 7/24 and p?
24
Let k(i) = 34*i**2 - 187*i - 188. Calculate the lowest common multiple of 4404 and k(-1).
48444
Let j = 7730 - 61749/8. Let n be (-12)/40*52273/6. Let c = n - -2615. What is the common denominator of c and j?
40
Calculate the smallest common multiple of 1155 and (4459/39 - 11) + (-33)/(-9) + -2.
1155
Let v(i) = 116*i + 1863. Calculate the lowest common multiple of (-8)/(-28) - (-654)/14 and v(-16).
329
Suppose -q - 6 = g - 12, -g + 4*q = -26. Calculate the least common multiple of 1495 and g.
2990
Suppose o - 54 = -o. Suppose -5*y = 2*j + j - 69, 0 = 2*y + j - o. Let n = 9 + y. Calculate the lowest common multiple of 15 and n.
105
Let x = 672/13 - 38123/780. Find the common denominator of x and -109/84.
420
Let l(f) = 15*f - 91. Let h be l(6). Calculate the common denominator of 87/16 and (-9)/90 + -2 + (-1 - h).
80
Suppose -2*w + 130*k - 128*k + 340 = 0, 0 = -w + 5*k + 190. What is the smallest common multiple of 99 and w?
495
Let v = 43024 - 4259318/99. Calculate the common denominator of 149/456 and v.
15048
Let g = -39 + 55. Suppose -21 = -11*v + 56. Suppose -4*d = -v*d + 3. What is the least common multiple of g and d?
16
Let l be ((-2)/(-5))/((-2)/20). Suppose -2*d + 12 = -2*o, -2*d - 2*o - 179 = -191. What is the lowest common multiple of 5 and l/((-5)/(75/d))?
10
Let r(u) = u**3 + 28*u**2 + 60*u + 19. Let d be r(-25). What is the least common multiple of d/6 + (-22)/33 and 15?
195
Let w = -3160 - -53762/17. Let f be (-1 - 72)*1 + (-44)/(-11). Let r = -111 - f. Calculate the common denominator of r and w.
17
Let k(x) = -5*x**3 - 2*x**2 - x. Let j be k(-1). Suppose -5*c - 10 = 0, -3*w + 2 = -4*w - j*c. Let g = 39 - w. What is the least common mult