77758 - -8/36023. Find the common denominator of h and 1/242.
10406
Let s = -158151 + 472871413/2990. Find the common denominator of 79/4140 and s.
53820
Let c = -132634176462 - -7964549662088218/60049. Let n = 1/5459 + c. What is the common denominator of n and 9/26?
286
Suppose 59*y - 16520 = -4307. Let v = y - 177. What is the least common multiple of v and 69?
690
Let i = -619 - -703. Let m = 120 - i. Suppose -5*c = -94 + 19. Calculate the smallest common multiple of m and c.
180
Let y = 1080511/132984 - 2/16623. Let k = 405/8 - y. Calculate the common denominator of k and 3/(-4)*(-82)/(-21).
14
Suppose -7*v - 17 + 45 = 0. Suppose -25*b = -26*b + 3. Suppose o = h + 22, -b*o + 2*o + 4*h = -22. What is the least common multiple of o and v?
44
Suppose 6*i - 3*i = 9. Suppose 3*v - 31 = -2*v - 2*b, -3*v - i*b + 15 = 0. Suppose -v = -0*k - k. What is the smallest common multiple of 6 and k?
42
Let m = -43032 - -69063. Let z = m + -2108543/81. Calculate the common denominator of z and 82/99.
891
Let i be 1*(-54)/(-12)*(-6)/(-33597). Let p = -839904/26131 - i. Let c = -713/42 - p. Calculate the common denominator of -37/24 and c.
24
Let i(c) = c**3 + 9*c**2 - 30*c - 11. Let o(w) = -12*w + 25. Let s be o(3). Calculate the least common multiple of i(s) and 99.
693
What is the common denominator of 325/1512 + (90/(-42))/(-5) and -103/594?
2376
Suppose w + 12 = -3. What is the common denominator of w and (-384)/36*(-105)/3115?
89
Let k(x) = -10*x + 49. Let z(j) = -9*j + 49. Let l(i) = 4*k(i) - 5*z(i). Let n(c) = -5*c - 9. Calculate the lowest common multiple of n(-6) and l(11).
42
Let c(z) = z**3 - 4*z**2 - 6*z - 6. Suppose 20 = 10*l - 6*l. Let h be c(l). Calculate the lowest common multiple of (2/8*h)/(4/(-48)) and 33.
33
Suppose 30 = -7*f + 41 + 143. What is the smallest common multiple of 7958 and f?
87538
Let i = -537 + 53. Let q = i - -487. Suppose 4*u + 2 - 14 = 0. What is the smallest common multiple of u and q?
3
Let y(c) = 5*c**2 + 53 - 64 - 7*c**2 + 35*c. What is the lowest common multiple of 1*(16 - (0 + 2)) and y(17)?
42
What is the common denominator of (-6755)/(-1737)*3/(-1034) and 19/12?
6204
Suppose 14*o = 395 - 17. Calculate the lowest common multiple of o and ((-27)/6)/(24/(-64)).
108
Suppose 4*h = 2*h + 48. What is the lowest common multiple of h and (-11)/(-11) - 36 - -80?
360
Let f(c) = c**2 + c + 10. Let d be f(-7). Suppose 36 = 4*w - d. Suppose 2*g = -4, 50 = -8*k + 11*k - 4*g. What is the smallest common multiple of w and k?
154
Let x = -75629/14328 + 1/1592. What is the common denominator of -23/810 and x?
810
Calculate the common denominator of 6/(-33) - 59680/(-430848) and -79/4.
1224
Let y = -36/175 + 98/25. Let w = -73447 - -18802405/256. What is the common denominator of y and w?
1792
Let a = 10/1179 - 2677/1572. Let y = -173/2 - -91. What is the common denominator of a and y?
36
Let z = -626507/50 + 12528. What is the common denominator of -59/128 and z?
3200
Let c = 1/325 - 10211/44200. What is the common denominator of c and 107/224?
3808
Suppose 14*j - 6016 = 13682. Calculate the least common multiple of 402 and j.
2814
Suppose -24*f = -200 - 88. Suppose 2*n - 150 = -50. Suppose -3*y = 2*y - n. Calculate the least common multiple of f and y.
60
Let i(l) = -2*l + 75. Let a be i(-24). Suppose -151 = -7*k - a. Calculate the least common multiple of (-76)/(-10) + (-14)/(-35) and k.
8
Let y(i) = 3*i**3 + 38*i**2 + 41*i + 762. Calculate the smallest common multiple of 651 and y(-12).
3906
Let k be ((-28)/35)/((-2)/15*-40037). Let s = k - 3962919/4964588. What is the common denominator of -23/3 and s?
372
Suppose -11*r = 191 - 1467. Suppose -7*q + 2*h + 164 = -3*q, 5*h = 3*q - r. Suppose 4*i = 107 - 35. What is the smallest common multiple of q and i?
126
Let v = -154 - -469/3. Suppose -4*q - 33 = -45. Calculate the common denominator of (-2)/3 + (q - 33/6) and v.
6
Suppose -15 = -a - 0*a - 2*n, 49 = 5*a - 3*n. Suppose -6 = -w + 18. What is the smallest common multiple of a and w?
264
Let l(m) = -m**2 - 4*m + 6. Let i be l(-5). Let f be (1 + i)/(126/(-119)). Let x = 10/9 + f. Calculate the common denominator of x and -26.
9
Let n = -138 - -180. Suppose n*i - 6 = 39*i. What is the smallest common multiple of i and 80?
80
What is the lowest common multiple of 10/(-2)*(-102)/((-510)/(-15)) and 51?
255
What is the common denominator of -101/15074 and (15/(-75))/1 + 5?
75370
Let l = -150297703/189 + 795230. Let i = l - 197/27. Find the common denominator of -67/14 and i.
42
Let a(o) = o**2 + 7*o + 44. Let u be a(-14). Let i = -130 + u. What is the smallest common multiple of (1 + -2)/1*-14 and i?
84
Let r be 3 + (1753/2)/(28/8). Let c = r + -35263/140. What is the common denominator of -87/118 and c?
1180
Let a = 25912 - 7255231/280. What is the common denominator of a and -77/10?
280
Let k(u) = 27*u**2 + 19*u + 7. What is the smallest common multiple of k(-4) and 363?
363
Let x = -24 - -24. Suppose x = -3*r + 16 + 44. Suppose 3*f - 5*c = 15, -28 = 5*f - 5*c - 63. What is the lowest common multiple of r and f?
20
Let v = -2646 + 2669. What is the least common multiple of v and 230?
230
Suppose -420*c = -333*c - 87. Calculate the smallest common multiple of c and 78.
78
Let h be -2*(-2 - 205/(-10)). Let w = h - -39. Suppose 5*l - 7 = w*p - 1, 4*l - 14 = -3*p. What is the least common multiple of l and 4?
4
Let m = -375463/650 + 7535/13. What is the common denominator of (3276/(-480) - -5) + 3 and m?
200
Let r = -1884030303/1921 - -980755. What is the common denominator of r and 47/10?
19210
Let o(j) = -j**3 - 6*j**2 - 5*j + 12. Let s(z) = -10*z - 95. Let n be s(-9). Calculate the least common multiple of o(n) and 1.
12
Let d = 42354 + -36972. What is the least common multiple of d and 18?
5382
Let g = 28819/10 + -2879. Let d = 240649463/13 - 3393638169487/183326. Let t = d - -2/641. What is the common denominator of t and g?
110
Suppose 941 = -2*w + 3*b, -3*w - 8*b + 3*b = 1421. Find the common denominator of 6/21 - w/896 and 55/46.
368
Let r = 241/3963 + 5178703/471597. Let a = r - 48197/5712. Calculate the common denominator of 25/44 and a.
528
Suppose 107*q + 305550 = 37*q. Find the common denominator of q/315*7/(-12) and (8/18)/(6/111).
36
Suppose 94 = 11*h - 1446. Find the common denominator of ((-273)/h)/13*(-436)/(-90) and -43/16.
1200
Let d = 523/56 - 103/14. Let v = -3919/42 + 785/7. Find the common denominator of d and v.
168
Let s(j) = -j**3 - 7*j**2 + 2. Let h be s(-5). Let b = 29756/33 - 2692/3. Calculate the common denominator of (4/h)/(6/472) and b.
99
Let i = 69 + -15. Let t = i + -30. Suppose 48 = t*x - 22*x. Calculate the lowest common multiple of 4 and x.
24
Suppose 3*t = -2*t + 1410. Let q = t - 277. Suppose -3*d - j + 10 = 0, 0*d + 3*j = 5*d + 2. Calculate the lowest common multiple of q and d.
10
What is the least common multiple of (81/18)/(6/128) and -10*(552/(-115))/3?
96
What is the least common multiple of 594 and (-212355)/195*(2 + (14/(-3))/2)?
6534
Let l = -64 + 106. Let m(b) = 3*b**2 + 4*b + 1. Let s(x) = 16*x**2 + 20*x + 4. Let c(u) = 11*m(u) - 2*s(u). What is the smallest common multiple of l and c(-5)?
168
Let p = 169438/5791 - 6220097777/231640. Let c = 26825 + p. Calculate the common denominator of -23/36 and c.
360
What is the smallest common multiple of 104 and (-10)/15 + (-85208)/(-39) + (-98)/637?
2184
Let s(f) be the third derivative of -25/3*f**3 + 0 - 1/3*f**5 + 2*f**2 - 1/8*f**4 - 1/120*f**6 + 0*f. Calculate the lowest common multiple of s(-20) and 2.
10
Suppose 4*h = 2*j + 3368, 3*j = -2*h + 3*h - 852. Let k be (-2)/(-14) + 822/h*10614. Let m = 10378 - k. Calculate the common denominator of m and 3/2.
10
Calculate the least common multiple of (2/4*-1)/(-15 + (-956)/(-64)) and 5468.
10936
Find the common denominator of 53/6 and 4/3 - ((-538055)/(-23055) - 18) - -4.
9222
Let o = 76 + -81. Calculate the smallest common multiple of 5 and (-1 - o/(-2))/(1/(-2)).
35
Let u = 1637/192 - 1752901/206016. What is the common denominator of -40 and u?
4292
Let t = -34915 + 20687. Let s = t - -384082/27. Find the common denominator of s and 25/3.
27
Suppose 15*f - 192 = 9*f. Calculate the common denominator of f/6 - 9/12*-2 and 34/21.
42
Suppose c = -3*p + 60, 10*p = 5*p - 3*c + 100. Suppose -p 