Let k = -6708 - -503128/75. Find the common denominator of 20/21 and k.
525
Let o be 2360/130 + (-2)/13. Suppose 30 - o = 4*g. Suppose 3*l + 5*z = l - g, -l - 5*z = 9. Calculate the lowest common multiple of l and 12.
12
Let h be (12/(-3))/((-89652)/(-6)). Let z = 361140826214621383/283898 + -1272079501142. Let t = z + h. Calculate the common denominator of -61/4 and t.
76
Let o be (-3)/(21/(-6) - -2). Suppose -20 = -o*w - 8. Suppose 0 = -5*t + 2*x + 407 - 335, -2*x - 2 = 0. What is the smallest common multiple of t and w?
42
Find the common denominator of -39/368 and ((-1113)/19504)/(-1 - 1).
736
Let t be ((-3)/(-9) + 0)/(5/(-15)). Let p(o) = 72*o**2 + 3*o + 1. Let x be p(t). What is the common denominator of x/294*(-13 + 0) and 73/39?
273
Let d = -1888 - -1889. Suppose -5*p + 0*g = 3*g + 18, 3*p = -3*g - 12. What is the common denominator of 53/9 and 20/p*d/(460/(-72))?
207
Let u be (257647/59220)/1 - 1. Let l = -2/2961 + u. Calculate the common denominator of (108/(-128))/(1 + 44/(-48)) and l.
40
Let t be 4/30 + (-758120)/(-234975). Let j = -6/241 - t. Calculate the common denominator of j and -59/3.
39
Suppose -12*d - 22762 - 22526 = 0. Let r = d - -56549/15. What is the common denominator of r and 169/30?
30
Suppose -8*s - 9137 = -9193. Calculate the least common multiple of 60 and s.
420
Let o = -21957/892 - 30/223. What is the common denominator of 17/308 and o?
308
Let u = 7170 + -6198. What is the lowest common multiple of u and 27?
972
Suppose -2*l + 2*z = -98, 5*z + 197 = 13*l - 9*l. Calculate the least common multiple of -12*(-1 + (-2)/(-6)) and 8/80*-6 - l/(-5).
72
Let y = -138277/220 + 6888/11. Suppose 0 = 2*n + 3324 + 2618. Let h = n + 101035/34. Calculate the common denominator of h and y.
340
Let b be (-379690)/43204 - 7/(-14). Let c = 4/1543 + b. Find the common denominator of (-3318)/(-70)*(-2)/(-24) and c.
140
Suppose -4*z - 13*y = -11*y + 228, 0 = y + 4. What is the common denominator of (-142)/(-160) + 22/z*5 and -43/72?
720
Let h(q) = -q**3 - 9*q**2 - 3*q + 21. Suppose -4*t = 2*t - 36. Suppose -13 - 41 = t*l. What is the least common multiple of h(l) and 8?
48
Let s(m) = m**3 + 5*m**2 - 14*m - 26. Let g be (-24)/(-2)*(0 + 8/(-16)). Calculate the least common multiple of 62 and s(g).
682
Suppose u - f = 70, 4*u + 3*f = 3*u + 66. Let z = -69 + u. Suppose 5*i - 8*i = -3*q + 24, z = 2*q - 5*i - 10. Calculate the least common multiple of q and 20.
20
What is the lowest common multiple of 65 and (-25)/(325/(-1924)) - -8?
780
Let q(x) = x**3 - 6*x**2 - x + 3. Let f be q(6). Let u be f + (1 - (-379772)/7672). Let c = u + -1/959. What is the common denominator of c and -93/86?
86
Let h = -642 - -651. Calculate the lowest common multiple of h and 73.
657
Let h = 3230615/4527936 + 4/70749. Calculate the common denominator of -43/9 and h.
576
Let y(w) = 2*w**3 + 12*w**2 + 2*w + 10. Let b be y(-6). What is the common denominator of b/(-28)*(-14630)/(-132) and -139/24?
24
Let q = -22821 - -22837. What is the smallest common multiple of q and 14?
112
Suppose 369 = 2*m - 357. Calculate the common denominator of m/(-30) + 4 - -3 and (-890)/12*(120/25 + -5).
30
Suppose -16*y + 85 + 11 = 0. Calculate the lowest common multiple of 19 - y/42*0 and 11.
209
Let y be (1 + 1)/(2/(-81)*-9). What is the common denominator of (y/20)/(5/(-10) - -2) and -91/124?
620
Let h = 11969 - 5816783/486. Calculate the common denominator of 7/11 and h.
5346
Find the common denominator of (-3)/(336/(-338)) + -2 and -1*(18/45)/(-2 - (-1140)/675).
56
Let c = -7/122 - 319/3477. Calculate the common denominator of (1 - 0) + 888/432 + 4 and c.
342
Let c be (5/20 + 51/20)*385. Let k be (-23779)/22 + (-21)/14. Let m = k + c. Calculate the common denominator of 52/5 and m.
55
Suppose 0 = y + 3*f + 5 + 4, 3*y + 39 = -3*f. Let l(p) = 3*p**2 - 2. What is the least common multiple of l(-2) and (3/(y/(-10)))/(3/15)?
10
Let w = 1007 + -552. Let o = w + -450. Calculate the lowest common multiple of 43 and o.
215
Let p be (5366/(-20)*1)/(42/(-84)). Let o = 548 - p. Find the common denominator of -57/7 and o.
35
Suppose -120*s = -126*s + 21930. What is the least common multiple of s and 102?
21930
Let h be (-6264)/40560 - (-6)/39. Let a = h - 79423/11830. What is the common denominator of a and 22/12*9/4?
56
Let x = 150 + -221. Let v(b) = -b**3 + 68*b**2 - 318*b + 128. Let i be v(63). Let l = i - x. What is the smallest common multiple of 36 and l?
180
Let i = -120 + 245. Let w = 247/2 - i. Calculate the common denominator of -59/8 and w.
8
Let c = 31971/10 - 10598356/3315. Calculate the common denominator of -49/663 and c.
6630
Let o = 18428 + -18368. What is the least common multiple of o and 1530?
3060
Let f = -1822358 - -1822386. Calculate the least common multiple of f and 28/3 - 2/(-3).
140
Suppose -109*w = -101369 + 754 - 15797. What is the least common multiple of 12 and w?
1068
Suppose 0 = -4*g + 28*g - 960. What is the least common multiple of 38 and (g/(-140))/(-2 - (-81)/42)?
76
Let u be 1/5 + (-1 - (-76)/20). What is the common denominator of 21/8 and 0/u + -1 - 500/48?
24
Find the common denominator of 47/252 and (-267)/1068*(-8)/(-18)*5/(-14).
252
Calculate the smallest common multiple of ((-960)/384)/((-1)/34) and 119.
595
Calculate the common denominator of 10 + 3 + 5450/(-460) and 1/94.
2162
Let q = -19047 + 19575. Calculate the lowest common multiple of 452 and q.
59664
Suppose 2*d = 5*w - 4974, 25*w + 2*d = 20*w + 4986. Calculate the smallest common multiple of 166 and w.
996
Let x = -635623/3 + 214864. Let l = -3023 + x. Let v = l + 44. What is the common denominator of v and 30/7?
21
Suppose -2*r - 4*i - 87 + 3125 = 0, -i - 6112 = -4*r. Calculate the least common multiple of 30 and r.
15270
Let h(g) = 329*g**2 + 3*g - 2. Let m be h(1). Let f be (1/((-20)/(-32)))/(2/10). Suppose 1322 = f*t + m. What is the least common multiple of 2 and t?
124
Let o(r) = -r**3 - 3*r**2 + 5*r + 6. Let w be o(-4). Suppose 104 = w*l + 2*l. Suppose 41*h = 21*h + 120. What is the smallest common multiple of l and h?
78
Suppose -40*y + 2*t = -41*y - 8, -y + 4*t + 34 = 0. What is the least common multiple of 2272 and y?
6816
Suppose 0 = -132*v + 137*v - 4*s - 66, -3*s - 11 = -v. What is the least common multiple of v and 614?
4298
Let h be (-20248)/(-3)*(-450)/100. Let d = h - -850327/28. Let m = 2582 - 72411/28. Calculate the common denominator of m and d.
28
Find the common denominator of 9/2 and 2/7644*21/56*-2.
5096
Suppose 172*w + 180*w = 380*w - 280. Calculate the smallest common multiple of (-5)/((-5)/42) - -1 and w.
430
Let a(v) = -3*v + 38. Let q(s) = 2*s - 25. Let k(w) = -5*a(w) - 8*q(w). Calculate the lowest common multiple of 28/35 - (-36)/5 and k(8).
8
Let v be 4 + -3 + 3450/24. Let b = 15437/108 - v. Find the common denominator of b and -74/33.
297
Suppose -6228 = -5*b + 4*q, -2*q - 789 - 1705 = -2*b. Calculate the least common multiple of 155 and b.
1240
Let k(a) = 6*a - 16 + 5*a - a - 3*a + 92. What is the lowest common multiple of 1 and k(-10)?
6
Suppose 0 = 2*i - 3*q + 19, 2*q + 14 = -4*i - 16. What is the common denominator of (-2)/i + 69/116 and 4/192*-21 + 6/24*-1?
464
What is the common denominator of (-16)/40 + (-12843)/(-36720) and 83/54?
7344
Let a = -499 + 501. Let d(p) = -25*p + 57. What is the smallest common multiple of d(a) and 21?
21
Let q(x) = -4*x**2 + 19*x - 12. Let w be q(4). Suppose 4*m = -3*l + 48, 4*l + 9*m - 6*m - 57 = w. Calculate the smallest common multiple of l and 39.
156
Let f be -4 - 28/6*(-36948)/(-80). Let j = -2152 - f. Find the common denominator of j and (-28)/(-112) - 78/(-56).
70
Let m(q) = -3013*q - 11. Let b be m(4). Let j = -144839/12 - b. Let c = -225023/64 - -3515. What is the common denominator of c and j?
192
Let y(c) = -9*c**2 - 7*c + 7*c + 8*c + 5*c - 18. Let q be y(8). Find the common denominator of 139/12 and 2/20*(q/4)/1.
12
Let r be 5/6*(-49770)/6600. Let f = -70123/11880 - r. Find the common denominator of -127/12 and f.
540
Let u be (-20)/(-40)*72/(-482). Let g = u + 23931/964. Let q = -589 + 2933/5. Calculate the common denominator of g and q.
20
Suppose 210 + 108 = 3*q + 60. What is the smallest common multiple of q and 430?
430
Suppose 42*q + 151*q - 110010 = 0. What is the least common multiple of q and 21