10 = -k*z. Suppose v - z*y = 14, -y + 6*y + 56 = 4*v. What is the lowest common multiple of 9 and v?
126
Let q be 54/396*168229/3. Let y = q - 7645. Find the common denominator of y and -91/18.
198
Let y = 6145/2288 - -1/572. Let m = 29 + -26. Find the common denominator of y and ((-273)/9)/((-2)/m).
16
Let v = 1275/64 + -209627/64. Let a = -214813/66 - v. Calculate the common denominator of 103/12 and a.
132
Calculate the common denominator of 95/56 and (-3375)/972*6/4.
168
Let i = 15868/915425 + -1/5231. What is the common denominator of 26/105 and i?
525
Suppose -2*m - 3*m + 37 = -2*g, 33 = 5*m - 3*g. Let r = m + -6. What is the smallest common multiple of (1 + 1 + -3)*-7 and r?
21
Let n = -1/7616 + 41889/7616. Let s = 44645/6 - 7465. Find the common denominator of n and s.
6
Let k(i) be the third derivative of i**5/60 - 5*i**4/24 + 2*i**3/3 + 7*i**2. Calculate the least common multiple of k(5) and 10.
20
Let j = 47/374 - 5789/45254. Let b = 61199/11979 - j. Calculate the common denominator of -1/15 and b.
45
Let p(k) be the second derivative of -k**5/20 - 5*k**4/6 + 5*k**3/3 - 9*k**2/2 - 10*k. What is the lowest common multiple of p(-11) and 4?
4
Let y = -650893/92 + 7075. Find the common denominator of y and -107/44.
1012
Let u = 17067/5 + -46302761/13565. Let r = -257739/5426 + u. What is the common denominator of -79/22 and r?
22
Let j = 64322/9 + -7155. Calculate the common denominator of 3/256 and j.
2304
Suppose 109*v - 90 - 128 = 0. Calculate the least common multiple of 2 and v.
2
Calculate the common denominator of 2/4*((-1728)/212 - -10) and 38/11.
583
Let k = -1/139 + -83117/695. Let p = k - -122. Find the common denominator of -55/8 and p.
40
Let d(f) = -101*f**2 - 4*f + 28. Let u be d(-6). Let i = -28609/8 - u. Calculate the common denominator of 139/6 and i.
24
Let w = 51007 + -4896563/96. Calculate the common denominator of w and 97/36.
288
Let a = 31 + -21. Suppose -8*m = -12*m + 16. Suppose -5 = -n + m. What is the lowest common multiple of a and n?
90
Let o(r) = 8*r - 24. Let p be o(3). Suppose -k - 4*u + 5 = 1, -3*k - 2*u + 42 = p. Calculate the lowest common multiple of k and 16/(-10)*(-5 - 0).
16
Let t = -62 + 302. Suppose 12*r + 72 = t. Calculate the lowest common multiple of 5 and r.
70
Let x = -25 + 61. Suppose -x = 10*p - 6*p. Let r(j) = j**2 + 8*j - 5. What is the smallest common multiple of 22 and r(p)?
44
Let c(h) = -h**2 + 11*h - 4. Let k be c(6). Let f = k - -4. Let v = -1875 + 5554/3. Calculate the common denominator of f and v.
3
Find the common denominator of -32/21 and 386/(-189) - 57/399.
189
Let y = -2/309 + -2159/618. What is the common denominator of (-1)/(-2) - (-288)/240 and y?
10
Let f = -799/180 - 14/45. What is the common denominator of -73/48 and f?
48
Let c(f) = 2*f + 8. Let a be c(-3). Calculate the common denominator of 165/25*a/12 and 93/14.
70
Let h = 22960 - 459083/20. Let d = -8/4321 - -122751/68634764. Let p = d - 563873/142956. Find the common denominator of p and h.
180
Let x = -7 - 6. Suppose 4*l - 75 = -o, 0*o - 4*o = -5*l + 99. Let v = l + x. Calculate the least common multiple of 4 and v.
12
Find the common denominator of 83/6 and (-8362)/(-912) - 27/3.
456
Let v = -77/68 - -281/4692. Find the common denominator of 121/6 and v.
138
Let s = 1071/10 + -429/4. Let n = -4729863152949 + 1532901349240879829/324090. Let g = n + 2/18005. What is the common denominator of g and s?
180
Suppose 0 = -4*z - 0 + 64. What is the common denominator of 174/(-136) + (-12)/(-48) and ((-297)/42)/(z/(-14))?
272
Suppose q + 7 = 13. Let p be (-1)/(-1) + 72/q. Suppose p*r - 80 = 9*r. What is the lowest common multiple of r and 4?
20
Suppose 17 = j - 4*a, -j = 4*j - 3*a - 51. What is the lowest common multiple of 57 and j?
171
Suppose n + 8 = -5. Calculate the common denominator of 1/((-45)/(-69) + -1) and 2/n + (-8955)/1872.
16
Let q = 19 - 3. Let h be (-5)/((-2)/(-50)*(6 + -1)). Calculate the smallest common multiple of q and 85/h - -3 - (-336)/15.
176
Let q(h) = h + 4. Suppose 54*j = 132 - 24. What is the smallest common multiple of j and q(-2)?
2
Let a = 5749/1395 + -36/155. Find the common denominator of a and -47/7.
63
Let g = 427/80 + -2597/880. Find the common denominator of g and -87/8.
88
Let v be 0/(-1)*(-1)/(2 - 0). Suppose j - 2*j + 20 = v. What is the smallest common multiple of j and 8?
40
Let l(m) = 2*m**3 - 3*m**2 + m. Suppose 24*k + 5943 = 3*k. Let z = -261 - k. Calculate the least common multiple of l(2) and z.
66
Let c = 552680/3 - 5420711/30. Let i = c + -3545. Calculate the common denominator of i and 17/30.
30
Let t = 128 + -7. Suppose 12 = 41*j - 39*j. Suppose -11 = -j*f + t. What is the smallest common multiple of 8 and f?
88
Let m = 25 - 24. What is the common denominator of -2 - 561/(-126) - m and -30/11?
462
Suppose -4*x - 3 + 23 = 2*p, 4*p - 28 = -4*x. Suppose -k = -o - 22, p*k = -5*o + 63 + 7. Calculate the smallest common multiple of 18 and k.
180
Let t = 3814 - 45817/12. Find the common denominator of 15/164 and t.
492
Let h(r) = -r + 5. Suppose 2*x + 5 = t - 2*x, 25 = -5*x. Suppose -5*p - 10 = 0, m + 2*p - 5 = -1. What is the smallest common multiple of h(t) and m?
40
Let n = -28 + 31. Suppose 92 = n*j - 4. Calculate the lowest common multiple of j and 10.
160
Let h = 899/344 - 21/43. Find the common denominator of (-74)/6*1/2 and h.
24
Suppose -3*i - i + 36 = 0. Suppose -3*j + 21 - i = 0. Calculate the least common multiple of 15 and j.
60
Suppose 3*b = -5*q + 15, -5*q + 8 = -2*b - 7. Suppose b = 2*o + 6 + 6. What is the lowest common multiple of 6 and (-2)/(-6) - 16/o?
6
Let g(f) = -f + 14. Let d be g(6). What is the common denominator of (d/20*-27)/(-2) and -25/8?
40
Suppose -5*k - 5 = 15. Let f = k - -3. Calculate the lowest common multiple of 3 and 9 - -2*(-1)/f.
33
Suppose -17 = -4*v + 11. What is the lowest common multiple of (v - 2 - 9) + 5 and 12?
12
Let l = 3470923/305311 + -1/16069. Let c = -1757/76 + l. Calculate the common denominator of c and 125/12.
12
Let g = 1 + 25. Suppose -5*u - d + 44 = 0, -3*u + g = 3*d - 10. Calculate the smallest common multiple of u and 5.
40
Let s be (-1 + -65)/(8 + 1 + -8). Let y = 99 + s. Calculate the lowest common multiple of y and 24.
264
Let r be (-165)/(-21) - (-2)/14. Calculate the common denominator of -25/2 and (-43)/r*4/9.
18
Let v = -71 - -75. Let i = 10 + -20. Let y = 17 + i. Calculate the least common multiple of v and y.
28
Let h = -57 + 59. Suppose -4*o + h = -2*y, -6*o + o + 5*y = 0. What is the least common multiple of 26 and o?
26
Let g(a) = -a**3 - 9*a**2 - 8*a - 4. Let p be g(-8). Find the common denominator of 146/224 + 1 + p/(-14) and -27/11.
176
Suppose -10*m + 7*m - 52473 = 0. Let s = 1084401/62 + m. What is the common denominator of 91/10 and s?
310
Let m(x) = x + 83. Calculate the smallest common multiple of m(19) and 93.
3162
Suppose 0*h = h + 2, -5*r = -3*h + 14. Calculate the common denominator of 16/5 and 2/((4 + -5)/(11/r)).
10
Find the common denominator of (-4 - 228/(-48)) + (-377)/444 and -55/74.
222
Let j(k) = 16*k - 64. Let w be j(6). Suppose -3*x = -h - w, 0 = -2*x + 2*h + 20 + 4. Calculate the lowest common multiple of x and 11.
110
Let t be 6/(-15) - (-34)/(-20). Let z = -353/20 + t. Let q = 449/234 - -61/13. Calculate the common denominator of z and q.
36
Let c = -65033/18256 - 1/4564. Let d = 676 - 5369/8. Find the common denominator of d and c.
16
Let z(s) = s**3 + 5*s**2 + s - 3. Let y be z(-5). Let d be ((-16)/(-20))/(2/15). What is the lowest common multiple of 12 and d/(2 + 10/y)?
24
Let a be (-4)/(-6)*(-12)/(-8). Suppose 0 = u - 8 + a. What is the least common multiple of u and 1?
7
Let l = 13 - 14. What is the lowest common multiple of ((-9)/3)/((-1)/2) and 16 - (l - (-3)/(-3))?
18
Let z(i) = i**3 + 2*i**2 + 249*i - 125*i + 3 - 121*i. Let h = -7 + 3. What is the common denominator of -31/3 and z(h)?
3
Let r be (3/(-3) - 0) + -2003. Let u = r + 415. Let t = -4820/3 - u. Find the common denominator of t and -55/6.
6
Let b = 599237569/18 + -33300774. Let d = -9802 - b. Find the common denominator of d and 166/8 + -1 + 5.
36
Suppose 0*o = -2*o + 10, -5*o = -4*l + 71. Let q(i) = -2*i**3 + 3*i**2 - i - 8. Let v be q(-2). Let j = l - v. Calculate the least common multiple of 44 and j.
44