
What is the smallest common multiple of ((-56)/126)/(4/(-162)) and 70?
630
Let v be (-12)/80*4 + (-16)/(-10). Find the common denominator of (2 + v)*(-7 - 304/(-56)) and 25/4.
28
Suppose 4*j = 5*j + 35. Let p be 10/j + 2/7. Find the common denominator of 7/18 and 73*2/(-4) + p.
18
Find the common denominator of 8908/2431 - (-8)/44 and -5/2.
26
Let x be 287/(-65) + 16/(-64). Let f = 66/65 + x. Calculate the common denominator of -61/20 and f.
20
Calculate the common denominator of 29/(-116)*(-46)/8 and 95/28.
112
Let i be (2/(-1))/(5/40*-4). Calculate the common denominator of -21/10 and ((-2)/(-10))/(i/(-890)).
10
Let o be 2/(-10) + (-17824)/80. Let c = o + 2243/10. Calculate the common denominator of c and -44.
10
Let g(l) = -69*l - l**3 + 35*l + 47*l + 24 + 11*l**2 - 10. What is the lowest common multiple of g(12) and 22?
286
Suppose -h + 3*c + 11 = 0, -3*h - 5 + 42 = -5*c. What is the lowest common multiple of 118 and h?
826
Let t = 1467/14 + -105. Let c = -342997/28830 + -8/2883. Find the common denominator of t and c.
70
What is the common denominator of 41/18 and -10 - (2 - (-3684)/(-270))?
90
Suppose -o = -4*o + 6. Let x(a) = -a**3 - 6*a**2 - 8*a - 6. What is the smallest common multiple of x(-5) and o?
18
Let m = 37 + -25. Let y = 0 + 0. What is the least common multiple of -17 - -38 - (1 + y) and m?
60
Let z = -2205/11 - -204. Calculate the common denominator of ((-26)/(-5))/((-52)/(-455)) and z.
22
Let n(i) = 4*i**2 + 18*i + 22. Let j(v) = v**2 + v. Let r(u) = -3*j(u) + n(u). Calculate the least common multiple of r(-14) and 8.
8
Let a = -121/3 + 565/12. What is the common denominator of 53/30 and a?
60
Let o = -1637 - -188258/115. Let u = 11597/690 + o. What is the common denominator of 267/(-9)*(-96)/(-448) and u?
42
Calculate the lowest common multiple of (-11 + 14)/((-1)/(-44)*6) and 42.
462
Suppose c + 0*c + 12 = 2*s, 19 = 3*c + 5*s. Let g be c/(-9) - 424/(-36). Suppose 72 + g = 6*m. What is the least common multiple of 6 and m?
42
Let z = 26378 - 1318993/50. What is the common denominator of z and -14/55?
550
Let w = -82325/36 + 2290. Calculate the common denominator of w and 107/18.
36
Let s = -1767 - -22985/13. Calculate the common denominator of s and -4/117.
117
What is the lowest common multiple of 21 and ((-96)/(-14))/((-8)/(-420)*5)?
504
Let o = -26 - -97. Suppose -8*y + 257 = -o. Calculate the lowest common multiple of 3 and y.
123
Let v be ((-4)/(-8)*-1)/(2/(-8)). Suppose 0 = v*a + 4, 3*k - 106 = a - 2*a. What is the smallest common multiple of 15 and k?
180
Let u be (8/3918)/((-15)/18). Let j = u + 64663/6530. Calculate the common denominator of 445/(-2)*3/(-30) and j.
20
Let o = -35803 - -279297/8. Suppose 36*l = 27686 + 4534. Let x = l + o. Calculate the common denominator of x and 85/14.
56
Let r = 9 - 6. Suppose -r*k - 2*z + 9 = 3*z, -6 = 2*z. Find the common denominator of 83/4 and (k/20)/((-14)/(-40)).
28
Let j = 293 + -1205/4. Let p be ((-324)/30)/(4/(-30)). Calculate the common denominator of j and p/(-18)*5/(-21).
28
Let y(v) = 12*v - 132. Let a(x) = -x**2 + 5*x + 8. Let s be a(6). Suppose -s*b = 2*b - 64. What is the least common multiple of y(12) and b?
48
Suppose -11*l + 7 = -26. Find the common denominator of (-170)/(-16) - (1 + -1) and l + -6 + -14*(-5)/24.
24
Let y be 18/8 + 2/(-8). Let u(l) = -l**3 - 70*l - 8 + 81*l + 5*l**2 + 3*l**y. Calculate the lowest common multiple of u(9) and 20.
20
Let k be (51/18 - 3) + (-85)/30. Let t = 3 - 1. Calculate the smallest common multiple of (-100)/(-12) + (-5)/k and t.
10
Find the common denominator of ((-180)/42)/5 + -2 and -109/26.
182
Let t = 304 + -290. Let h(v) = v + 19. What is the smallest common multiple of t and h(-9)?
70
Let w = 88 - 63. What is the common denominator of 290/35 + 2/(-4) and w?
14
Let v = -23782 + 1307949/55. Find the common denominator of v and -47/60.
660
Find the common denominator of (1/(-5))/((-18)/2130) and (-84)/315*(1 - (-118)/20).
75
Suppose -k - 3 + 5 = 0. Let z(s) = s**2 - 6*s + 1. What is the least common multiple of k and z(6)?
2
Let z = -1619/4 - 889/12. Let g = 484 + z. Find the common denominator of -46/15 and g.
30
Let u = -1229 - -17137/14. Suppose -5*g = -4 - 1. Calculate the common denominator of u and 2/11*g - -1.
154
Let q = -11 + 16. Let a(i) = i**2 - 8*i - 9. Suppose 2*p - w = 19, 5*w + 45 - 10 = 4*p. What is the smallest common multiple of a(p) and q?
55
Suppose -4*y + 7693 = -n, 5*n - y + 2*y = -38486. Let c = n - -307861/40. What is the common denominator of c and -17/8?
40
Let d = -9093843/724 + 25121/2. Calculate the common denominator of -107/22 and d.
7964
Let c(r) = 2*r**3 - 9*r**2 - 6*r + 11. What is the lowest common multiple of c(5) and 5?
30
What is the lowest common multiple of 7 and (-82)/369 - (-128)/9?
14
Suppose 3*u + 3*n = -0*u + 33, 32 = 2*u + 4*n. Let c(j) = -15*j + 67. Let l be c(5). What is the common denominator of -73/8 and ((-35)/6)/(l/u)?
8
Let d = 7/994137 + 135402453397/19882740. Let l = 6814 - d. Find the common denominator of (3/36)/(2*(-7)/21) and l.
40
Let n = 5 + 0. Suppose -2*j - j = -5*l - 23, 0 = -3*j + 3*l + 21. What is the smallest common multiple of j and n?
30
Find the common denominator of 123/50 and (-33)/(-88) - (-623)/(-72).
450
Let m = -13836 - -9136. Let v = -47097/10 - m. Let s = 3385/2 + -1645. What is the common denominator of v and s?
10
Suppose -3*g + 3 = -18. What is the common denominator of -41/10 and ((-255)/12)/(-5 + g)?
40
Let h = 2225 - 218059/98. Let s = -3575/2646 - h. What is the common denominator of s and -149/30?
270
Let r(u) = -6 + 2*u + 18*u**2 + u + 5 - 2*u. Suppose 7*y - 2 = 6*y. Calculate the lowest common multiple of r(1) and y.
18
Calculate the lowest common multiple of 14 - (-7 - (-28)/2) and 2.
14
Let z = 11751 - 37158. Let n = z - -31733340/1249. Let o = n + 81209/9992. Calculate the common denominator of o and 19/18.
72
Let g(k) = -3*k + 54. What is the smallest common multiple of g(-30) and 54?
432
Suppose 0 = 2*p - 5*c - 249, -p - 132*c + 130*c = -120. What is the smallest common multiple of 8 and p?
488
Suppose -2*x + 6*x = 1008. Suppose 0 = -0*c - 3*c - x. Let z = c + 839/10. Find the common denominator of -119/20 and z.
20
Suppose 5*c = -2*g - 47, -c + 41 = g - 2*g. Calculate the common denominator of -17/6 and (507/(-12) - 2)/(g/8).
6
Calculate the common denominator of 2 + 6/(-10) + 10868/(-2970) and 61/162.
162
Let c be 798/(-4)*(51 + 5). Let b = -201007/18 - c. Let p = -861/2 + 461. What is the common denominator of p and b?
18
Let j = 32 + -20. Let t be 3/j*3441/462. Let g = -1/77 - t. Calculate the common denominator of g and -121/10.
40
Suppose 0 = -2*w - 4 + 16. Calculate the lowest common multiple of w and 2/(3 + 76/(-28)).
42
Let b(i) = 30*i**2 - 2*i - 2. Let x be b(6). Calculate the common denominator of x/60 - (-4)/10 and (-2)/5 + (-21)/6.
30
Let n(b) = -b**2 + 6*b + 5. Let z be n(5). Let i = -3491/66 + 404/11. Calculate the common denominator of 783/330 - (-4)/z and i.
66
Let k = 21752 + -33476326/1539. Let s = -70978376227547/12312 + 5764975333. Let o = s - k. Calculate the common denominator of o and 15/23.
184
Let g = 364065141/1368050 + 13/54722. Let r = g + -266. What is the common denominator of r and -23/5?
25
Suppose 2*n - y - 360 = 0, n - 49 = y + 131. Calculate the least common multiple of n and 90.
180
Let t(p) be the third derivative of -p**5/60 + 13*p**4/24 - 11*p**3/6 + 9*p**2. Let m(y) = y**2 - y - 1. Calculate the lowest common multiple of t(11) and m(3).
55
Suppose 270*a + 1140 = 282*a. Calculate the smallest common multiple of 65 and a.
1235
Suppose 0 = -l + 4*y + 115, -5*l + 2*y = -2*y - 575. Let m = l + -1262/11. Find the common denominator of m and -13/8.
88
Let x = 301203/68 + 26450/51. Let i = x + -14879/3. Find the common denominator of i and 62/21.
84
What is the common denominator of (-9)/(-7530)*((-14235)/(-18))/13 and 143/18?
9036
Suppose 0 = -s - 12 + 6. Let m(d) = 22*d**2 - 2*d - 14. Let g be m(s). Calculate the common denominator of -91/20 and 1 - (g/16)/5.
40
Let h = 494 + -714. What is the lowest common multiple of 4 and h/(-80)*16*1?
44
Let j = -33245948 + 82383460457/2478. Let u = j + 33/118. Find the common denominator of 137/54 and u.
378
Let k = 3937/5040 - -23/560. Calculate the c