4/(-75)).
12
Let g = -22393 - -17869597/798. Calculate the common denominator of 33/76 and g.
1596
Let z be (-130)/(-5 - (-62)/12). Calculate the common denominator of (-710)/z + 2/(-3) and 7/16.
624
Let t(l) = -2*l**3 - 4*l**2 + 12*l + 10. Let d be t(-10). Let m = 4474/5 + -81047/90. What is the common denominator of ((-1)/(-4))/(30/d) and m?
36
Let j = 29126 - 29045. Suppose 0 = 4*r - q - 0*q - 395, 497 = 5*r + 2*q. Calculate the lowest common multiple of j and r.
891
Suppose 0 = -17*j - 46759 - 41981. Find the common denominator of ((-270)/j)/(3/25) and 49/2.
58
Suppose 2*k + 484 = 5*h, -2*h + 0*k + 190 = -2*k. Let g = 190 - h. What is the smallest common multiple of 10 and g?
460
Suppose 0 = -2*k + 5*a + 3, -a + 67 = 5*k - 8. Calculate the smallest common multiple of 540 and k.
3780
Suppose -898 + 968 = 2*w. Let k(h) = h**2 - 26*h - 283. Calculate the lowest common multiple of k(w) and 16.
32
What is the common denominator of -9/1730 and (-2474)/(-1540) - 648/1782?
12110
Let i = -106 - -151. Suppose 0 = -13444*c + 13310*c + 33500. What is the smallest common multiple of c and i?
2250
Let g(q) = 553*q - 6. Let r be g(-1). Let z = r - -565. Calculate the lowest common multiple of 3 and z.
6
Let r(p) = -p**3 - 14*p**2 - 36*p - 16. Let q be r(-11). Suppose -q*y + 198 = -6*y. What is the least common multiple of y and 52/(-6)*(-1 + -2)?
234
Let t = -16128233/15 + 1076567. Let u = t + -60256/15. Let c = -2674 - u. Find the common denominator of 58/9 and c.
45
Let x = 4791313/65 - 73709. Let y = -11894/4095 + x. Calculate the common denominator of 16/49 and y.
441
Suppose 4*i + 4 = 0, -5*i = 4*p - i - 60. Suppose 22*a - 6 = p. Calculate the smallest common multiple of (3 - 1)*5*1 and a.
10
Let z = -21 - -38. Suppose z = 7*k - 60. Calculate the lowest common multiple of -2*5/((-20)/16) and k.
88
Suppose h = -0*s - s - 19123, -3*h = 0. Find the common denominator of (-2)/21 + s/2730 and 46/7.
70
Let j = 4791921/121 + -39603. Find the common denominator of 29/1826 and j.
20086
Suppose d = 3*d - 16. Suppose -7*x - 1446 = -1509. Calculate the lowest common multiple of x and d.
72
Let k(o) = -o**3 - 4*o**2 + 14*o - 20. Let s = -108 - -101. What is the least common multiple of k(s) and 6?
174
Let b = -28442 - -2559839/90. Calculate the common denominator of -17/121 and b.
10890
Suppose 2*l + 8 = -2*l, 38 = v + 4*l. What is the common denominator of 0 - (0 + 4 + v/24) and -93/14?
84
Suppose 366*z - 3*g - 1248 = 361*z, -4*z - g = -978. Calculate the lowest common multiple of 246 and z.
246
Let v(m) = m**3 - 21*m**2 - 13*m - 137. Let k be v(22). Suppose 5*t = 3*q + 160, 3*t - k = -2*q + 16. Calculate the least common multiple of t and 9.
261
Let y = -1647/7 + 6035/28. Calculate the common denominator of (366/20 - 0)*31/(-93) and y.
20
Let z(o) = -o**3 - 14*o**2 + 73*o + 24. Let t be (-5)/(-20) - 365/20. Suppose 6 = -4*p + 22. Calculate the lowest common multiple of z(t) and p.
12
Suppose -83*j = -81*j - 12, -3*a - j + 51 = 0. Calculate the lowest common multiple of a and 24.
120
Let j(a) = a**3 - 2*a**2 - 31*a - 133. What is the smallest common multiple of j(8) and 262?
786
Let n(y) = -3596*y + 21584. Let b(u) = -u**3 - u**2 + 9*u + 7. What is the least common multiple of b(-6) and n(6)?
1064
Suppose 20*z - 225723 = -225163. Calculate the least common multiple of z and 4048.
28336
Let m = -5 - -7. What is the lowest common multiple of (1 + 16 - (-21 - -6)) + 0/13 and m?
32
Suppose 13 = 31*z - 49. Suppose -z*m + 196 = i, -188 = -2*m - i + 4*i. Calculate the lowest common multiple of m and 11.
1067
Suppose -14*m = 11*m - 1200. What is the common denominator of ((-2)/m)/(18/(-1674)) and 53/74?
296
Let j be 3 - (-1 + 10)*-3. Let g be 3/15 + 774/j. Suppose 4*p - i = g, 4*i = -4*p + 53 - 17. Calculate the least common multiple of p and 7.
7
Let u = -11933/9 + 1327. Find the common denominator of -149/138 and u.
414
What is the common denominator of 47/152 and (1 - (-50)/(-54)) + (-12135)/169290?
1672
Suppose -6*b - 64*b = -320*b + 609500. What is the least common multiple of 184 and b?
9752
Suppose 23*v - 32*v = 9*v - 20592. What is the smallest common multiple of 1287 and v?
10296
Let t = 2/2439 + 238/3523. Find the common denominator of t and -1/390.
1170
What is the common denominator of 8/(-10)*(1 - (-285)/(-35)) and -92/12135?
84945
Suppose 4*t + 221*m = 220*m + 1396, 28 = 7*m. What is the lowest common multiple of t and 60?
1740
What is the least common multiple of 20 and (888/(-407))/((-1)/22)?
240
Let o = 34863433/3945 + -44187/5. Calculate the common denominator of 47/526 and o.
1578
Let y = -73 - -40. Let a = y + 55. Find the common denominator of -107/6 and 890/(-418) - ((-40)/a)/10.
114
Let b(d) = 155*d + 131. Let f be b(31). Let s = 29759/6 - f. Calculate the common denominator of 61/33 and s.
66
Let d(r) = r**2 + 15*r + 17. Let q be d(-14). Suppose 0*m - 5*m - 150 = -5*p, -q*p + 96 = 3*m. Calculate the common denominator of (-2)/(-21)*(29 + 7) and p.
7
Suppose 5*w - 22613 = -7958. Let i = w - 11635/4. Calculate the common denominator of i and 93/58.
116
Suppose -4*z + 195 = 123. Suppose -17 = -3*s - 5. Suppose 4*g - j - 24 = 8, 3*g = s*j + 24. Calculate the least common multiple of g and z.
72
Let u be ((-9)/(-2))/((-3)/(-4)). What is the common denominator of (((-329)/u)/7)/1 and ((-79)/553)/((2/60)/(16/12))?
42
Let y = 117587/111 + -3178/3. Find the common denominator of y and -48/185.
555
Let m = 62 + 26. Suppose -m = -4*s + 20. Calculate the least common multiple of 30 and s.
270
Suppose -170*k + 133*k = -999. Calculate the lowest common multiple of k and 354.
3186
Let n(s) = 2*s**2 + 24*s + 5. Let o(f) = -f**3 + f**2 + 8*f + 4. Let h be o(4). Calculate the least common multiple of n(h) and 55.
55
Let x = -7509 + 4107424/547. Let c = x - 2197/4923. Calculate the common denominator of c and (-23)/((-736)/(-308)) + (11 - 5).
72
Find the common denominator of 65/226 and (3 - ((-1 - -5) + 3)) + 5362/1232.
9944
What is the common denominator of 11/120 and (-26 + (-1052)/(-43))/(1 + -5)?
5160
Suppose 296 + 1684 = 12*l. Calculate the lowest common multiple of l and 770.
2310
Suppose 2*l + 24*i - 26*i - 206 = 0, -32 = -4*i. What is the lowest common multiple of 180 and l?
6660
Let p(z) = z + 77. Let t(y) = 38. Let l(h) = 3*p(h) - 7*t(h). Let r be l(16). Calculate the common denominator of -89/20 and r*(-5)/15 - -5.
60
Suppose 161*j - 84 = 160*j. What is the least common multiple of j and (-9 - (-66)/12)*-30?
420
Let t = -2065 + 2815. Calculate the smallest common multiple of t and 9.
2250
Let z = 1519/4 - 5333/14. Calculate the common denominator of z and -85/284.
1988
Suppose -a = -r + 22, 5*a + 8 = a. What is the least common multiple of (66/231)/(((-27)/42)/(-9)) and r?
20
Suppose -2*u + 6 = -16*k + 19*k, 5*u - 2*k - 15 = 0. Calculate the least common multiple of (6 - (-15)/5) + u and 46.
276
Let f = -412026 + 135968423/330. Calculate the common denominator of 17/33 and f.
330
Let b(u) = -u**2 - 22*u - 53. Suppose -s + 15*s = -266. Calculate the lowest common multiple of b(s) and 4.
4
Suppose 7*f = 9*f. Suppose 11*a = -f - 33. What is the common denominator of ((-2)/a)/((-216)/1602) and 8/9?
18
Let f be -110*(((-210)/(-12))/7 - -1). Let i = f - -519. What is the least common multiple of i and 1?
134
Let s(k) = -6*k + 26. Let a(b) = b**2 + 8*b + 27. Calculate the least common multiple of s(-13) and a(-9).
936
Suppose -4*g - 4*j - 304 = -0*g, -4*j = -5*g - 344. Find the common denominator of 46/24 - 12/g and 728/(-96) + (-4 - (1 + -3)).
12
What is the common denominator of -99/136 and (175/425)/(3/(-2))?
408
Let i(j) = -56*j - 826. Calculate the least common multiple of i(-15) and 2258.
15806
Let v be 0/1 - (1 + 359). Let b be (1349/1)/(5/(-15)). What is the common denominator of b/v + (-8)/(-60) and 29/3?
24
What is the smallest common multiple of (8 + (-205)/25)*-35 - -56 and (33/36 + (-2)/(-6))*24?
630
Let b be (3/2)/((-2)/28). Let x be (-1 - (-7)/(-3)) + 14/b. What is the least common multiple of 276/66 + x - (-174)/11 and 10?
80
Let y = 14111 - 46921/4. Let u = -2356 + y. Calculate the common denominator of -29/702 and u.
1404
Let z = 52374201037/67530 - 3877847/5. Find the common denominator of -3/14 and z.
94542
Let k(u) = -8*u - 37. Let a