6.
36
Suppose -72*l = -64*l + 96. Calculate the smallest common multiple of -4*(-18)/(-12)*16/l and 14.
56
Suppose 6*v - 4*v = 740. Let x = -349 + v. Let c = 45 - 18. What is the least common multiple of c and x?
189
Let s = -718379/4762656 + -3/23008. Find the common denominator of s and -95/336.
23184
Calculate the least common multiple of 18 and -6*((-56)/(-16) + -2 + -87).
1026
Suppose 75*v - 65 = 70*v. Let g(c) = -c**3 + 11*c**2 + 38*c - 6. Calculate the smallest common multiple of 10 and g(v).
150
Let k(u) = 10*u**2 + 2*u + 5. Let g(n) = -10*n**2 - n - 6. Let i(h) = 2*g(h) + 3*k(h). Calculate the least common multiple of 18 and i(-3).
162
Suppose 0 = 29*b - 24*b. Let k be -3*(-1 + b + 0). Find the common denominator of -41/4 and (1/k)/(7/(-141)).
28
Suppose t + 3*n + 11 = 0, -n - 19 = -t - 14. Let m = -32 - -22. Calculate the common denominator of 85/16 and 166/(-60) + 4/m + t.
48
Let h(d) = -2*d**2 - 119*d - 625. What is the smallest common multiple of h(-53) and 92?
1472
Let g(s) = -4*s - 195. Let v be g(43). Let j = -362 - v. Suppose 2*q + 2*t = 4*q - 20, 4*t + 16 = 0. Calculate the least common multiple of q and j.
30
Let s = 14/131 - 6773/22925. Find the common denominator of 113/672 and s.
16800
Let j = -225 - -1789/8. Suppose -o - 12 = 2*o. Calculate the common denominator of j and (-265)/(-60) + 2/o.
24
Let q(w) = -2*w**3 + 6*w**2 + 11*w - 12. Let u be q(4). Calculate the smallest common multiple of 5 and 1314/73 - (u/1 - 1).
95
Find the common denominator of (-1 + -5)*(-104)/1116 and ((-13)/9)/(35/35).
279
Let u be 0/(-4 - -6) + 62/1307. Let x = u + -214147/78420. Find the common denominator of x and 89/30.
60
Let c = -8900603/1092 - -1123471/52. Let n = 13458 - c. Calculate the common denominator of n and -29/111.
777
Suppose 2*w - 11 = -c, 3*c + w = 7*c - 17. Suppose -2*a - c*t + 22 = 0, -3*a + t = a. What is the lowest common multiple of a - (-2 + 2 - 1) and 8?
8
Let y = 718 - 2275. Let a be (y/435)/(2/5855). Let x = a - -10478. Calculate the common denominator of x and 34.
58
Let h = -151 - -1448. Suppose 0 = -28*t - 401 + h. What is the least common multiple of 4 and t?
32
Let b = -74 + 75. Let i be b/(-2)*(-4 + (-10)/(-1)). Calculate the common denominator of i/(1620/3774) + (-4)/10 and -65/32.
288
Let w be (4/8135*5)/(16/8). Let u = 100572741798619/29286 - 3434157679. Let t = w - u. Find the common denominator of -42/11 and t.
198
Let m(h) = h**2 - 3. Let y be m(2). Let v be y/(59/15 + -4). Let a(j) = j + 22. What is the smallest common multiple of 9 and a(v)?
63
What is the smallest common multiple of 2022 and (1848/504)/(3/3033)?
22242
Let r(j) = -5*j + 3. Let m(x) = -13*x**2 - x**3 + 3*x - 4*x - 29 + 0 - x. Let q be m(-13). Calculate the smallest common multiple of 30 and r(q).
90
Let h(b) = 4*b + 25. Let n be h(-2). Calculate the lowest common multiple of 172/n + (-24)/204 and 4.
20
Calculate the lowest common multiple of 1408 and (-8 - (-640)/24)*(-396)/(-14).
4224
Suppose -56 = 16*z - 20*z. Suppose 5*c + z + 12 = 3*b, 0 = -3*c + 5*b - 22. Calculate the common denominator of 61/64 and ((-158)/9)/(c/(-3)).
192
Let k(d) = -d**3 - 2. Let g be k(2). Calculate the common denominator of 0 - ((-21)/g + -3) and (-2 + 860/(-45))/(0 - -4).
90
Let z be 8498/42 - (-1)/(-3). Let k = z - 111. Suppose -k = -4*u + 53. Calculate the least common multiple of u and 8.
72
Find the common denominator of 23/24 and 130254/(-13080) + (21 - (0 + 11)).
13080
Let g be ((-174)/145)/(1/10*-3). Suppose -1350 = g*k - 10*k. Calculate the common denominator of 19/14 and (k/6)/(-3)*(-2)/(-8).
56
Suppose -8447 + 891 = -5*p + g, 1516 = p + g. What is the lowest common multiple of p and 2?
1512
Suppose 0 = -d - 3*c + 1 + 6, -4*d + 55 = 3*c. Suppose 2*z - 3*z + 8 = 0. Calculate the smallest common multiple of z and d.
16
Suppose 50*o - 2586 + 636 = 0. What is the least common multiple of 39 and o?
39
Let o = -8825/713 - -350/31. What is the common denominator of 210/4*-3*(-4)/81 and o?
207
Let h(q) = -q**3 - 5*q**2 + 7*q + 6. Let d be h(-6). Let f be (-11)/2*(86 - 88). Suppose d = -y - 5 + f. What is the least common multiple of y and 22?
66
What is the common denominator of (-1)/((-9)/(-36)) + 175/180 and 95/174?
1044
Let g(u) = 2*u**2 + 75*u + 409. Let h = -9 + 12. Calculate the smallest common multiple of g(-31) and h.
6
Suppose 0 = -2*r + 1349 + 227379. Let n = -14409995/126 + r. Calculate the common denominator of -131/42 and n.
126
Suppose 0 = -2*t + 2, -2*q - 332 = t - 573. What is the lowest common multiple of q and 110?
1320
Suppose 0 = f - 2*l - 2698, -2*f = 5*l - 4703 - 684. Let v = -10729/4 + f. Calculate the common denominator of v and 107/24.
24
Let i = 277 + -273. Suppose -i*p = 4*o - 592, -6*p = -5*o - 8*p + 746. Calculate the least common multiple of o and 8.
600
Find the common denominator of -13/25 and (-2)/(-1200)*((-1078)/(-168) - 1).
7200
Let r(w) = 4*w**2 - 14*w + 4. Let i be r(4). Suppose 4*o - 2 - 2 = 4*u, i = -4*u. Find the common denominator of (86/(-3))/o + 2 and -45/82.
246
Suppose 0 = -5*r - 119 - 171. Let k be (296/(-14))/(((-24)/(-14))/(-6)). Let b = r + k. What is the smallest common multiple of b and 18?
144
Suppose 2*i = 6*i - 3*y - 81, i - 24 = -3*y. Let a(b) = -2*b**3 + 43*b**2 - 19*b - 41. Calculate the least common multiple of 98 and a(i).
98
Suppose -172635 = -379*g + 78642. Calculate the least common multiple of 468 and g.
7956
Let s = 132128 - 396385/3. Let k = -26438 + 3674840/139. What is the common denominator of k and s?
417
What is the common denominator of 849/(-270) + 6/(-27) and (-28)/((-11200)/4110) - 12?
120
Let g(h) = -h**3 - 173*h**2 - 115*h - 17. What is the smallest common multiple of g(-173) and 2?
19878
Suppose -12*d = -425 + 101. Suppose -n + 3*j = -19, 2*j + 16 = 5*n - d. Suppose 16 = -6*a + n*a. Calculate the least common multiple of 12 and a.
48
Suppose 5*z = -5*s - 12 - 3, z - 3*s = 1. Let b = 27/5 - 827/30. Calculate the common denominator of (-6)/(-20)*5*15/z and b.
12
Let m = 360896 + -9742472/27. Let f = m - 562/9. Calculate the common denominator of (-212)/(-924) + (-2)/(-7) and f.
297
Let a = 32 + -24. Calculate the common denominator of ((460/(-48))/5)/(1/9) and (-5)/10*(-10)/a.
8
Suppose 2*g = -s + 946, -s - 145*g = -146*g - 967. Calculate the least common multiple of 1600 and s.
4800
Suppose -52*y = -6*y + 10*y - 1568. What is the lowest common multiple of 12 and y?
84
Let a = 2433 + -38843/16. Let b = 2131544945/14737 + -144639. Let l = b + 810511/176844. What is the common denominator of a and l?
48
Let u(o) = o**3 + 10*o**2 - o - 118. Calculate the lowest common multiple of 6382 and u(-8).
57438
Let u = -460 - -67. Let w = u - -399. Calculate the lowest common multiple of w and 193.
1158
Let c = 436 + -470. What is the least common multiple of (1 - 3)*(c + -40)*1 and 20?
740
Let i be 111/74 - 141090/4. Let m = i + 846359/24. Calculate the common denominator of m and 101/18.
72
Let n(q) = q**3 - 5*q**2 - 8*q + 12. Let w be n(6). What is the lowest common multiple of 4 and (-44)/(-2) - (w + -2)?
24
Let l = 56635/14 - 4049. Calculate the common denominator of l and 71/(-38) - 9/(-12).
532
Find the common denominator of 17/1195 and (19/(-4541))/(7/7)*90/(-14).
8365
Let z = -4153 - -4295. What is the least common multiple of 9 and z?
1278
Suppose 6669 = -44*s + 29109. What is the least common multiple of s and 12?
1020
Let h = -218 + 104. Let d = h + 59. Let k = d - -69. What is the least common multiple of k and 40?
280
Let i = 1 - -282. Suppose i*h = 289*h - 180. What is the least common multiple of h and 30?
30
Let l(b) = -b**2 + 10*b - 3. Let p be l(9). Suppose 7 = d - p. Suppose 58*g + 39 = -14*g + 399. Calculate the smallest common multiple of d and g.
65
Let v be 2 + -2 + -9 + 3. Calculate the least common multiple of 6 - -1*v/2 and -1*4 - (13 + -10 + -16).
9
Suppose -4*y = 3*q - 2980, -40*y + 14 = -38*y. Calculate the least common multiple of 88 and q.
10824
Calculate the common denominator of -139/490 and (421/5 + 352/440)/98.
490
Suppose 12 = -3*m, -7*v + 422 = -12*v - 3*m. What is the common denominator of (v/(-12) - 10/10)*1 and -149/6?
6
Let g = 36 - 39. Let c = -30079/12 + 2500. Find the common denominator of c and (-142)/(-20) + 3 + g.
60
Let z be -5 + 178/(-533790)