k - 4*k = 29424. Let f = 308929/42 + k. What is the common denominator of f and 76/27?
378
Let n = -4 + 3. Calculate the common denominator of (-295)/(-50) - n/4 and 3/(-10)*(-305)/12.
40
Let y = 1263/488 - -48/61. What is the common denominator of y and -4/109?
872
Let v be ((-3)/(-9))/((-18832)/67065). Let h = -1/2354 + v. What is the common denominator of h and -17/6?
48
Let r(j) = 8*j - 17. Let g be r(7). Suppose 0 = v - 69 + g. Suppose 0 = 6*y - y - 50. What is the lowest common multiple of y and v?
30
Suppose 0 + 3 = 2*p - v, -5*p + 2*v + 9 = 0. Suppose -p*t + 3 = -6. Suppose 0 = -4*n + 18 - 2. Calculate the smallest common multiple of n and t.
12
Let b(l) be the second derivative of -l**4/12 - 3*l**3/2 - l**2 + 9*l. What is the smallest common multiple of 1 and b(-6)?
16
Let u = 3 - -9. What is the common denominator of (-29)/4 + u/(-18) and -9/40?
120
Let d(x) = -x**3 + 18*x**2 - 18*x + 11. Let f be d(13). Let j = f + -6233/10. What is the common denominator of (-4)/6 - (-393)/(-72) and j?
40
Let u = 159 - 141. Calculate the smallest common multiple of 213 and u.
1278
What is the common denominator of 89/4 and 3651/1122 - 14/119?
44
Suppose -3*g + 161 - 5 = -2*p, -5*p + 177 = 3*g. Calculate the lowest common multiple of g and 18.
54
Suppose -20*p - 405 = -29*p. Suppose 22 = x - 5. Calculate the lowest common multiple of x and p.
135
Find the common denominator of 115/224 and -35 - -27 - 6729/(-864).
2016
Let o(h) = -h**3 + 14*h**2 + 10. Let i be (-3)/((-12)/16) + 10. What is the smallest common multiple of 22 and o(i)?
110
Let b(a) = -6*a + 104. What is the lowest common multiple of 9 and b(16)?
72
Suppose 4*q + 4*a = 48, q + 2*a - 25 = -8. Suppose 5*k - 56 = 4*u - 0*u, -4*u = -k + 24. What is the smallest common multiple of q and k?
56
Let h = -3184395/559888 + 2/34993. Suppose m - 1026 = -2*a, 4*a - 112 - 922 = -m. Calculate the common denominator of h and (-6)/(-21) - m/(-308).
176
Let k be 10*(-2 + 36/21)/(-8). Let i = -36/7 - k. Calculate the common denominator of 117/10 and i.
10
Let l = 334 + -313. What is the smallest common multiple of 12 and l?
84
Let p(q) = -q**2 - 11*q - 27. Let k be p(-5). Suppose -u = k*b - 69, -2*b = -4*b - 6. What is the lowest common multiple of u and 2?
78
Let n = -4 - -4. Suppose n = 2*o - 6, -2*x + 18 + 3 = 3*o. What is the common denominator of 12/16*(-7)/x and -1/14?
56
Suppose 3*x + 5*g - 88 = 2*x, -4*x + 322 = 5*g. Suppose 87 = 5*n - p, 4*n - 2*p - x = -4*p. What is the lowest common multiple of n and -20*-1*(-2)/(-2)?
180
Let j = 117 - 76. Let u = 42 - j. Calculate the lowest common multiple of u and 1.
1
Let v = 92 - 84. What is the common denominator of ((-1694)/21)/(-11) + (-2)/v and -64/33?
132
Suppose 3*y = -3*r + 63, -4*y - 3*r = 51 - 138. What is the smallest common multiple of y and 120?
120
Let m(c) = -6*c**2 - 3*c - 51. Let z be m(-13). Find the common denominator of 103/48 and z/198*10/(-12).
528
Let q = -1959 - -31391/16. Find the common denominator of 21/14 - (-71)/24 and q.
48
Calculate the common denominator of 1 + 3 + (177/48 - 3) and 35/8.
16
What is the smallest common multiple of 582 and 52/6 - (140/(-30))/14?
1746
Suppose 3*m + l + 1 = 3, -5*l = -3*m + 8. Find the common denominator of (-1126)/(-168) + (m - (-9)/(-7)) and 64/27.
108
Suppose -576 = -93*r + 77*r. What is the lowest common multiple of 135 and r?
540
Let t = -449 + 500. What is the lowest common multiple of 33 and t?
561
Let k = -96065/31164 - 2/2597. What is the common denominator of k and 37/1814?
10884
Let v(s) = -4*s**3 - 7*s**2 - 2*s + 6. Let a = -3 + 6. Suppose -59 = -7*m + a*m + w, -57 = -3*m + 5*w. Calculate the least common multiple of v(-2) and m.
14
What is the common denominator of -19/72 and 1019/990 - (-52)/286?
360
Suppose 6*n - n = 80. Let m = -63 - -75. Calculate the least common multiple of m and n.
48
Let y(k) = -k**2 - k. Let n(r) = -4*r**2 - 20*r + 39. Let x(c) = n(c) - 3*y(c). What is the least common multiple of x(-19) and 12?
12
Let s = 17/135 - -8167/540. Let r = -10739 - -150431/14. Calculate the common denominator of s and r.
28
Let h(b) = b**2 + 7*b - 6. Let g be h(-8). Let l be (5/(-4))/(g/(-8)). Calculate the common denominator of -71/8 and 1/3 + l/(-2).
24
Let s(y) = -204*y**2 + 12. Let a be s(4). Let w = a - -45553/14. Calculate the common denominator of 67/46 and w.
322
Suppose 4*t - 455 = -3*c + 2*c, -t + 107 = -2*c. What is the lowest common multiple of t and 6?
678
Suppose 2*t + 35 = -2*t - 3*l, 5*t + 58 = l. Let m = 13 + t. Suppose 0 = -2*v - 0*v + m. What is the smallest common multiple of v and 11?
11
Let u = 29 + -15. Calculate the least common multiple of (3808/49 - 3) + 4/u and 10.
150
Let x = -310 + 454. Calculate the least common multiple of 16 and x.
144
Suppose 2092*c - 2101*c = -63. Let u(d) = 6*d**2 - d + 1. What is the smallest common multiple of c and u(1)?
42
Let v = -46449 - -1765163/38. Let x = -316973/52362 + -6/2909. Find the common denominator of x and v.
342
Let h(d) = -6 + 2*d - 1 - d - 5*d. What is the least common multiple of 9 and h(-4)?
9
Let o(i) be the first derivative of -i**4/4 - i**3/3 + i**2 - 4*i + 7. Calculate the lowest common multiple of o(-3) and 12.
24
Suppose 0 = v + 15 - 17. Find the common denominator of -8/15 and ((-11)/(-6))/((-63)/28) + v.
135
What is the lowest common multiple of 6 and 501/2 + (-130)/52?
744
Let l = -723 - -741. Calculate the lowest common multiple of 322 and l.
2898
Calculate the common denominator of 66/(-72) - -3 - 2/4 and ((-355)/(-25))/((-21)/5).
84
Suppose -5*f - 3*p = -247, 5*f - 13*p = -9*p + 254. What is the lowest common multiple of f and 180?
900
Let c be (-2)/(-16248)*-3*(-33858)/(-4). Let k = c + 1/1354. What is the common denominator of k and 121/20?
40
Let w be ((-26335)/7)/(7 - 55/7). Let z = w - 4369. Find the common denominator of 44/5 and z.
30
Let w = -34 + 58. Let x(d) = 0*d**2 - 2*d**2 + d**3 + 0*d**2 + d + 2*d. Calculate the lowest common multiple of w and x(3).
72
Calculate the common denominator of 71/14 and 1786/(-1232) - 7/77*-2.
56
Let m be ((-30)/(-6))/(1 + 0). Suppose 20 = -5*b, m*b = 2*n + 5739 + 709. Let q = 32279/10 + n. Calculate the common denominator of -47/4 and q.
20
Let i(w) = -w - 1. Let g = 71 + -84. What is the lowest common multiple of i(g) and 22?
132
Suppose -580 = 51*t - 61*t. Calculate the smallest common multiple of t and 22.
638
What is the common denominator of 6*57/264 + -1 and (-4653)/(-252) + -6 + -10?
308
Let y = -167 + 362. What is the smallest common multiple of 3 and y?
195
Let d(z) = -z**3 + 10*z**2 + 26*z - 30. What is the least common multiple of d(11) and 36?
540
Calculate the least common multiple of 11 - (1 - -6) - 1*-7 and (-6 + -2 + 1)*-1.
77
Let k = 2 - -10. Suppose 0 = -12*u + 8*u - 8. Find the common denominator of 9/u + (-3)/k and -28.
4
Let l(b) = -b**2 + 15*b - 17. Suppose 2*z + 24 = -2*z. Let o = 4 - z. What is the smallest common multiple of o and l(13)?
90
Let s be -5 + 3 + (-3)/(24/2177). Let z = 276 + s. Calculate the common denominator of -5/11 and z.
88
Let z(k) = k**2 - 9*k + 23. Let l(t) = 5*t - 49. Let c be l(11). What is the least common multiple of z(c) and -2 - -1 - (1 - 16)?
70
Let v = 244 + -238. Let b be 2/(-10) - (-4)/20. Suppose -6*g = -g - 4*t - 14, -3*g - t + 22 = b. Calculate the lowest common multiple of g and v.
6
Let i = -354376 - -144585601/408. Let a = 5/51 - i. Calculate the common denominator of a and (-6)/(-39) + (-3514)/(-312).
24
Let n(v) = 3*v + 11. Let s(z) = 11*z - 50. Calculate the lowest common multiple of n(0) and s(14).
1144
Let v = 761 + -755. What is the lowest common multiple of 6 and v?
6
Let d = -14403/4 - -3623. Calculate the common denominator of d and -69/382.
764
Let f be (-4)/10 + 207638/120. Let l = -1726 + f. What is the common denominator of l and -125/12?
12
What is the common denominator of (-4)/18 - (-4496)/2304 and 19/2?
48
Suppose -i + 14 = i. Suppose 0 = -h + 4*h - 4*j - 18, -5*h = j - i. Suppose -f + 0 + h = 0. What is the least common multiple of 11 and f?
22
Let i = 9 - -4. Suppose -2*g = -i + 5. Calculate the smallest common multiple of g and 7.
28
Calculate the common denominator of -6 + (-353)/(-36) - 6 and -32/33.
396
Suppose 4*n - n = 12. Let o be (1 - -11)/n + -4. What is the 