 i(-9). Suppose -x = 2*x + y + 57, 3*y = x + t. Find the common denominator of -103/6 and -93*(-2 - 38/x).
30
Find the common denominator of (-8)/(-1296)*(-1507)/(-11) and -8/243.
486
Suppose 4*x = 22 + 10. Let j(o) = -75*o + 539. Calculate the least common multiple of j(7) and x.
56
What is the common denominator of -45/112 and (7 - (-66)/12)/1?
112
Suppose -20*o + 18*o = -22530. Let l = 112763/10 - o. What is the common denominator of l and 97/12?
60
Let o(k) = k**2 + 4*k + 4. Let s be o(0). Suppose -5*n + 6*x = 3*x - 219, -4*n + 180 = -s*x. What is the smallest common multiple of n and 9?
126
Let p(s) = s**2 - 12*s - 26. Let c be -2 + 20 + -4 + 3/3. What is the least common multiple of 2 and p(c)?
38
Let h(r) = -25*r - 2. What is the least common multiple of h(-2) and 27?
432
Let z be (-8 - -6 - -9)*1. Let v = -8 + 13. Suppose 2*j + 3 = 4*t - 3, v*t = 2*j + z. What is the smallest common multiple of 9 and t?
9
Let u = 3/736 + -12331/736. Let a(g) = -g + 7. Let h be a(8). Find the common denominator of u and ((-3)/21)/(h/(-31)).
28
What is the least common multiple of (-1)/(-6) - 11814/(-396) and 168?
840
Suppose -199 - 153 = -32*q. Let g(p) = p**3 - 3*p**2 - 8*p + 1. Calculate the lowest common multiple of q and g(6).
671
Let d be 5*12/15*1. Suppose -d*r = -5*n + 13823, 0*n - 4*n = -2*r - 6910. Let o = 27589/8 + r. What is the common denominator of -115/6 and o?
24
Let u = -396 + 406. What is the lowest common multiple of 10 and u?
10
Let c = 333347717637660/443 - 2395217361857042774551/3183106506. Let q = c + 2/1197557. Let f = -1803 - q. Calculate the common denominator of -47/5 and f.
30
Let v = 202811/38270 - -2/3827. Calculate the common denominator of -71/328 and v.
1640
Calculate the common denominator of (-4)/18 + 548/(-45) and (-336)/90*126/56.
5
What is the common denominator of 12 + -11 - 451/324 and 35/22?
3564
Calculate the common denominator of -103/44 and -10*-2*15/576.
528
Let n be (-3 + 1)*(1 - -1). What is the lowest common multiple of 16/(-6)*6/n and 24/(60/10) - -7?
44
Let d = -22 - -21. Calculate the common denominator of -27/11 and 113/(d/(4/(-24))).
66
Let a be -2*((-3)/(-2) + 4 - 4). What is the lowest common multiple of 2 and 2/a + ((-1932)/(-9))/4?
106
Let v = -113 + 136. Let k = v + -19. Let x = 21 - 7. Calculate the lowest common multiple of k and x.
28
Let t = -8579/2616 + -4/327. What is the common denominator of 8 + 0 + 56/(-6) and t?
24
Suppose -4*r = -5*b - 62, 0 = -5*r - b - 2*b + 96. Suppose -12*k = 7*k - 418. What is the lowest common multiple of k and r?
198
Let u = -37 + 33. Let m(t) = -t + 6. What is the least common multiple of m(u) and 3?
30
Let z(q) = q**2 - 9*q - 16. Let t be z(10). Let m be (t/12)/((-2)/(-56)). Let l = -2 - m. Calculate the lowest common multiple of l and 2.
12
Let t(w) = w**3 + 9*w**2 + 19*w + 5. Suppose 0 = -3*n + 2*n - 2*b + 36, -63 = -2*n + 5*b. Let x = n - 24. Calculate the least common multiple of t(-4) and x.
90
Suppose 12 = 3*r + r, -3 = 3*q - 2*r. Let n(o) = 0 + 13 + q - o. What is the least common multiple of 5 and n(-5)?
95
Let b(c) = 6*c**3 + c**2 - 3*c + 1. Let k be b(1). Suppose -2*u = -k*u + 27. What is the smallest common multiple of u and 18?
18
Let o = -1 - -10. Let m be (-3)/((-1)/(6/o)). Suppose 0 = -m*x - 2*x - f + 69, 5*f + 39 = 4*x. What is the least common multiple of 10 and x?
80
Let r be ((-559460)/(-15200))/(1*-32). Let f = r + 1/4864. What is the common denominator of 27/2 and f?
20
Let a = -2074 - -2162. What is the lowest common multiple of a and 496?
5456
Let b = -71 - -126. Find the common denominator of -77/4 and (100/6)/((b/(-3))/5).
44
Let t = 6435944 + -141416885/22. Let k(u) = -6*u**3 - 18*u**2 - 15*u - 54. Let r be k(-12). Let x = r - t. What is the common denominator of x and 37/22?
22
Let c = -2112/29 - -44463/638. Let k = -229/16 + -67/16. Calculate the common denominator of k and c.
22
Let v(g) = 33*g + 401. What is the smallest common multiple of v(-11) and 1?
38
Let d = 4418/3 - 26449/18. Let v be (6/(-12))/((-2)/264). What is the common denominator of 10/(-20) + -6*v/(-63) and d?
126
Suppose 0 = 2*n - 2*u - 42, 0*u + 27 = n + 5*u. Let y = -10 + 19. Let x = y - -3. What is the lowest common multiple of x and n?
132
Suppose -10 - 40 = -5*q. Calculate the least common multiple of ((-52)/(-6) - 10)/((-3)/54) and q.
120
Let b = 7037/2730 - 1/91. Find the common denominator of b and ((-12152)/8232)/(1*2 + -1).
210
Let r = -519 - -529. What is the least common multiple of 25 and r?
50
Let k(d) = 31479*d**3 - 2*d + 1. Let s be k(1). Let b be (3 - 3) + s/20. Let i = b + -1568. What is the common denominator of i and -7/4?
20
Let d = 593 + -9491/16. Let a be (-7780)/(-112) + (-6)/15. Let t = 495/7 - a. Calculate the common denominator of d and t.
80
Suppose -33 = -6*s + 9. Calculate the lowest common multiple of 2 + (-69)/(-7) - (-1)/s and 30.
60
Let t be 10/3*(-12)/(-8). Let v(p) = -p**3 + 7*p**2 - 7*p + 5. Let s(h) = 8*h**3 + h**2 - 1. What is the smallest common multiple of v(t) and s(1)?
40
Suppose k = -4*k + 3*s + 93, s - 4 = 0. Suppose -2*o - 9 = t, t + 2*t - 5*o + 49 = 0. Let w = t + k. What is the smallest common multiple of w and 20?
40
Suppose 0 = -5*l - 25, -3*i - l = -2*l - 59. What is the least common multiple of 22 and i?
198
Let y(v) be the second derivative of 1/2*v**2 + 0 + 1/3*v**3 + 5/6*v**4 + 7*v. What is the least common multiple of 4 and y(-1)?
36
Suppose -23*h = -30*h + 147. What is the smallest common multiple of h and 24?
168
Let h be 1/1*(0 + 1). Let k = -4152 + 4158. Calculate the smallest common multiple of 1 + (0/h)/(-2) and k.
6
Let j = 26 - 15. Suppose k - 2*w = 2, 5*w = k - 0*w - j. Let z(b) = -2*b + 8. What is the smallest common multiple of 4 and z(k)?
16
Let y be 36909437891033/(-10180829953470) - 9/15. Let v = 68/58172847 - y. Let t = 3/1591 + v. What is the common denominator of t and -79/20?
220
Let m be (-1 + 1 + (-5)/(-45))*1093. Let b = 119 - m. What is the common denominator of b and (-87)/(-8) - 1 - -2?
72
Suppose -3558 = -16*g + 634. Calculate the least common multiple of 8 and g.
1048
Let u be ((-2)/3)/(-3*4/270). Let s = u + 11. Calculate the common denominator of s and -23/11.
11
Let w(y) = y**2 - 7*y + 13. Let j be w(5). Suppose 12 = 3*m + j*g, -4*g - 8 = 8. Let f(n) = 23*n + 1. Calculate the least common multiple of m and f(1).
24
Let y = -686111/1076565 - 8/10253. Calculate the common denominator of y and -5/84.
420
What is the lowest common multiple of -1*1656/(-60)*(-60)/(-9) and 207?
1656
Suppose 4*x + 79*x = 1247 - 334. Let d(m) = 9*m**2 - 3*m - 4. Calculate the least common multiple of d(3) and x.
748
Let o = 3 + 1. Let p = 84 - 82. Suppose -8*c + n = -5*c - 10, -p*c + 18 = 5*n. Calculate the lowest common multiple of c and o.
4
Let l be (1/((-4)/6))/((-12)/40). Suppose 0 = -l*s - 2*o + 210, -3*o + 4 = 19. What is the smallest common multiple of 2 and s?
44
Let u = -320 + 450. Let i = u + -100. What is the common denominator of i and 97/16?
16
Let n = 2321/1230 - -53/82. Let a = -2327/5 + 20653/45. Calculate the common denominator of n and a.
45
Calculate the common denominator of 5/10 + (1184/248 - 5) and 53/310.
310
Let h = -10 + 14. Let o(k) = k**3 + 3 + k - 4*k**2 + 0*k - 2. Calculate the smallest common multiple of 4 and o(h).
20
What is the smallest common multiple of (6 - 603/(-27)) + (-1)/3 and 21?
84
Let w = 29 + -17. Let v = -102 - -62. Let h = v + 50. Calculate the least common multiple of w and h.
60
Let a = -77344 - -7734477/100. Calculate the common denominator of 7/8 and a.
200
Let r(l) = -2*l**2 - l + 3. Let h be r(3). Let t = -8 - h. Suppose 110 = 5*z + t. What is the lowest common multiple of z and 22?
220
Suppose 0 = 2*r - 2, 24 = 4*j - 4*r. Find the common denominator of 78/7*j/28 and ((-115)/(-20))/(9/(-2)).
126
Let l(z) = z**2 - z - 5. Let y = -272 + 279. Calculate the smallest common multiple of y and l(-5).
175
Let a = -22 - -28. Let r = -57 - -73. What is the least common multiple of a and r?
48
Let z = 100035/5972 + -1/1493. Calculate the common denominator of z and 17617/(-2212) - 6/(-1).
28
Calculate the common denominator of -6*((-15)/28)/5 and 124/434 - (-1362)/280.
140
Let w be 230084/(-28938) + 2/(-6). Let q = 1/689 - w. Find the common denominator of q an