k be (0 - -1) + (-2418)/(-88). Let f = 492/11 - k. Let n = -623 - -1840/3. What is the common denominator of n and f?
12
Suppose -107*q = 79*q - 4464. Let w be 1*(-1 + -1 - -2). Suppose w = -5*h - 3*g + 11, -3*h = 2*g - 6*g - q. What is the lowest common multiple of h and 11?
44
Let t(z) = z**2 - 8*z + 1. Let f be 3*((22/2 - -1) + -3). Suppose 0 = -21*w + 18*w + f. Calculate the smallest common multiple of 6 and t(w).
30
Let j be (12/(-10))/((-1)/(-5)). Let b = 2055 + -2040. Calculate the common denominator of -74/9 and ((-231)/2)/(j + b).
18
What is the common denominator of (2/18)/(2/((-402)/801)) and -5/24?
19224
Let h = 40782406/59 - 691227. Calculate the common denominator of ((-5)/(-6))/5*-20 and h.
177
Let m(n) = -53*n - 527. Let q be m(-10). Suppose 2*x = a + 24, a = -3*x - 0*a + 26. What is the least common multiple of 22 and ((q - 2) + -39)/(x/(-20))?
836
Calculate the lowest common multiple of (1008/105)/((-18)/(-585)) and 819.
6552
Let g be (-8)/36 - (-1976)/(-18). Let d = g - -115. What is the lowest common multiple of 21 and d?
105
Let x be (-6357)/26*(-60)/(-9). Calculate the common denominator of 123/154 and -7 + (-4)/896*x.
1232
Find the common denominator of 85/184 and ((-3)/(-46))/((-1575)/(-945)).
920
Suppose 35*t + 24*t = 43*t + 1408. Calculate the least common multiple of t and 781.
6248
Let b(y) = -y**2 - 23*y + 48. Let r be b(-25). Calculate the lowest common multiple of 16 and -1 - (r/((-2)/(-3)) + -8).
80
Let w = -1/18640598 + -498873664122/46601495. Let c = 10715 + w. Find the common denominator of c and (-2 + 21/2)*-5.
10
Let f(l) = 0*l + 4*l + 3958 - 5*l - 3959. Let k be f(1). Calculate the smallest common multiple of 2 and -2 + k + -1 - -34.
58
Let x be ((-6)/49)/((-118)/(-6964537)). Let z = 7226 + x. Find the common denominator of z and -5/56.
392
Let g = -3/8861 + 487361/17722. What is the common denominator of -11/17175 and g?
34350
Let u be 2317245/98*(-10)/(-40365). Let j = -2/2691 + u. Find the common denominator of 61/5 and j.
35
Let c(t) = -t**2 - 1. Let b(i) = -11*i**3 + 6*i**2 - i + 6. Let p(o) = -b(o) - 6*c(o). Let u = -6782 - -6783. What is the least common multiple of 8 and p(u)?
24
Let r = -1562706726032/138368433 - 18/6588973. Let v = -17643 + 6347. Let m = v - r. Calculate the common denominator of 41/3 and m.
21
Suppose 0 = 4*c + 3*y + 2 - 6, 5*c = 4*y + 36. Suppose 9*z - 70 = c*z. Calculate the smallest common multiple of z and -1 + 2/2 + 10.
70
Let p(i) = -i**2 - 9*i + 137. Let z(y) = y**2 - 17*y - 127. What is the least common multiple of z(23) and p(-17)?
11
Let m be ((-612)/(-6630))/((-1)/(240/14)). Let n = m + 8993/910. Calculate the common denominator of n and -79/6.
30
Suppose 4*z - 3 = 29. Let l(w) = 2*w - 17. Let k be l(13). Suppose 14 = -k*s + 86. Calculate the lowest common multiple of s and z.
8
Let z(r) = 7*r**2 - 247*r + 167. Calculate the smallest common multiple of 3 and z(49).
14613
Find the common denominator of 38/33 and ((-8)/12)/((-282*5 - 2)*1).
23298
Let a = 31 + -47. Let q(n) = -n**3 - 16*n**2 - 3*n - 14. Calculate the least common multiple of (6/(-8))/(1/(-24)) and q(a).
306
Calculate the common denominator of (-526)/360 + 1 - (-10)/((-440)/11) and (2/(-26))/((-15)/(-3)).
585
Suppose 2*w = -71*r + 67*r + 12, 3*r = -5*w + 2. Suppose 172 = 8*i - 4*i. Suppose i = 5*y - 27. What is the smallest common multiple of y and r?
28
Let z = 65/1958 - 128929/4591510. What is the common denominator of z and -81/4690?
4690
Let w = 545481/20 - 27268. What is the common denominator of w and 145/612?
3060
What is the common denominator of ((-1001)/(-572))/((-156)/221) and (1/(-18))/((-16)/474)?
48
Suppose 64*h = 45*h + 8303. What is the least common multiple of 92 and h?
1748
Let w(i) = -28*i - 12. Let s be w(2). Let h = s - -86. Calculate the lowest common multiple of (-1)/3 + 455/15 and h.
90
Suppose 20 = -0*t + 5*t, g + t - 252 = 0. Suppose -g = -5*q - 208. What is the smallest common multiple of 12 and q?
24
Suppose -t + 2 = -361*s + 363*s, -4*s = 3*t. Calculate the least common multiple of s and 366.
366
Let j = 12745/9 + -1411. Let x be 1/((5 - 1)/(-2904)). Let h = 2233/3 + x. Calculate the common denominator of j and h.
9
Let c = -106 - -61. Let s = -37 - c. Calculate the smallest common multiple of 6/(-2 + (s - 4)) and 12.
12
Suppose 3*t + 33 = y, -3*y + 100*t = 101*t - 189. What is the least common multiple of 2040 and y?
2040
Let n(f) = -f**2 - f + 1. Let b(z) = z**2 + 9*z + 28. Let q(y) = -b(y) - 3*n(y). Let x be q(6). What is the common denominator of 13/3 and (x/20)/(6/196)?
6
Suppose 2*n + 0 + 4 = 0. Let f = -268 + 270. What is the common denominator of (-55)/n + (-3 - -4) and f?
2
Calculate the least common multiple of (374/4)/((-530)/(-3180)) and 330.
5610
Suppose 7*o + 33 - 12 = 0. Find the common denominator of (2214/81)/(19*(-2)/o) and ((-12)/(-1))/(8/12).
19
Let n(b) = 9*b + 168. Let t be n(-24). What is the least common multiple of 25 and (-9*4/t)/(12/160)?
50
Let j = 2/8289 - -721087/232092. Let y = 121/152 - -4159/456. What is the common denominator of j and y?
84
Let t = 943/378 - 19/54. Let w = -2/194062525 - -5194471609063/231710654850. Let m = 50/199 - w. Calculate the common denominator of t and m.
42
Suppose 2*t + 1336 = 3*n, 13 = -t + 11. What is the least common multiple of 84 and n?
3108
Let x = 177542137 + -898008170471/5058. Let v = x - 7/562. Calculate the common denominator of 34/3 and v.
9
Let x = 8 + -23. What is the common denominator of ((-89)/3)/((-88)/12) and ((-1)/2 + -2)/(x/(-225))?
22
Suppose 284*r + 1290 = 327*r. What is the lowest common multiple of 360 and r?
360
Calculate the common denominator of (9/(-12) - 70/(-48))/(35/147) and 97/284.
2840
Let i be 2/(-8) - 1195/20. Calculate the common denominator of (-245)/(-14)*3/55 and (-15)/i + 82/(-88).
22
Let n = -9934/7 + 1422. Calculate the common denominator of (8/40)/(2/(-43)) and n.
70
Find the common denominator of -1/27 and 58/(-9222)*-2*166/28.
10017
Let m(t) = -2*t**2 + 100*t + 354. What is the lowest common multiple of 30 and m(53)?
180
Let g(p) = 2*p + 1. Let i(m) = 11*m - 9. Let j(z) = 3*g(z) - i(z). Calculate the smallest common multiple of j(-24) and 20.
660
Let s(m) = m**3 + 4*m**2 - 13*m - 1. Let x be s(-6). Find the common denominator of x/(-3) - ((-112739)/330)/(-37) and 97/18.
90
Let q(x) = -11*x**3 + 8*x**2 - 10*x. Let j be q(3). Find the common denominator of -20/3 and (-170)/j + (-1)/((-84)/(-274)).
42
Calculate the smallest common multiple of 153/(-11) + 14 - 3695/(-11) and 70.
1680
Let a be 6/9 - (-146)/(-7938)*1336. Let q = a - -1198/49. Calculate the common denominator of 37/7 and q.
567
Let v(h) be the third derivative of -h**5/60 - h**4/6 + 3*h**3/2 + 19*h**2. What is the least common multiple of v(-3) and 108?
108
Let o = 166 + -141. Suppose -25 = -o*z + 25. Calculate the least common multiple of z and 30/4*16/12.
10
Let x be -1*21 - (-5 - -5). Let a = -31 - x. Let w(j) = j**2 + 13*j + 20. What is the common denominator of w(a) and -42/11?
11
Let i(x) = -22*x + 44. Let f be i(5). Calculate the common denominator of ((-15)/(-270))/(3/f) and -43/312.
936
Find the common denominator of 6/(-9) + (-36)/(-27) - 1318/1140 and 163/1596.
7980
Suppose -5*f - 3*s = -44, -2*f = -16*f - s + 138. Suppose -5*n - 90 = -4*r, 60 = -0*r + 2*r + 5*n. What is the lowest common multiple of f and r?
50
Suppose 15*b + 56 = 11. What is the common denominator of -10 + (-24568)/(-2464) - b/12 and -61/77?
77
Let q = 32020445690 + -58789541608751/1836. Let h = 30780/17 + q. What is the common denominator of h and -73/3?
108
Let n = -73/119811297 + -2973011551843/42523185908646. Let p be (-53815)/35730 - (-6)/4. Let g = n - p. Calculate the common denominator of g and 97/12.
1788
Let z = -79 - -85. Let c(q) = -q**3 - 11*q**2 - 6*q + 16. Let p be c(-10). Calculate the least common multiple of z and ((-33)/(-12) - 2)/((-1)/p).
18
Let f = -5125 - -5155. Calculate the least common multiple of f and 840.
840
Let u = -267 - -1217. Calculate the least common multiple of 95 and u.
950
Suppose 46*p - 9405 = -1858 + 6483. Calculate the lowest common multiple of 10 and p.
610
Let r(n) = -16*n - 248. What is the least common multiple of 640 and r(-19)?
4480
Calculate the common denominator of 11/1416 and 