.
16
Let f(m) = -m - 10. Let i be f(-8). Find the common denominator of -23/6 and (-334)/72 - (-3 + i).
36
Let h = -1384 - -8359/6. Let a = 33240 + -997387/30. What is the common denominator of h and a?
30
Let l(k) = -9*k**2 - 49*k + 11. Let o be l(-6). Calculate the common denominator of (-173)/45 + 4/10 and (o/9)/((-8)/(-21)).
72
Suppose 2*q - y - 36 - 4 = 0, 0 = 2*q - 4*y - 40. Let i be (10*(-2)/(-14))/(1/(-7)). What is the lowest common multiple of (i/10)/((-1)/9) + -1 and q?
40
Let b(z) = -z**3 + 2*z**2 + 2*z - 1. Suppose 1 = 5*g + 1. What is the least common multiple of (3*(g - 1))/((-69)/1564) and b(-2)?
748
Let c be -15 + 22 - 1*-16. Calculate the lowest common multiple of (c - 8)/(5/3) and (-3)/9 - (-128)/6.
63
Let o(k) = k**2 - k - 1. Let x(b) = -b**2 + 6*b. Let h(g) = -2*o(g) - x(g). Let l = 122 + -120. Calculate the lowest common multiple of l and h(-4).
2
Let b be ((-5906)/60)/(7/3). Let x be (-198)/(-210)*(52/12 - 4). Let n = b - x. Find the common denominator of -35/6 and n.
6
What is the common denominator of (8 - 152762/18615)/((-36)/(-15)) and 17/12?
2628
Let i(x) = -3*x - 12. Let l be i(-4). Suppose 0 = 2*c - l*c + 12. Let y = c - -27/4. Find the common denominator of y and 1.
4
Suppose 0 = 3*o - 2*o - 16. Suppose 7*z - 4*g = 11*z - 196, -5*z - 4*g = -240. Calculate the smallest common multiple of z and o.
176
Find the common denominator of 305/(-64)*(-28)/(-70) and 23/120.
480
Suppose -42*k + 3570 = -21*k. What is the smallest common multiple of k and 65?
2210
Suppose 0 = 8*t - 16, 5*z - 2*t + 1630 = 8*z. Calculate the smallest common multiple of z and 12.
3252
Let j(s) = s**2 + 58*s - 54. What is the smallest common multiple of j(-59) and 26/12 + 27/(-162)?
10
Suppose 20 = -4*c, -3*r - 5*c - 181 = -7*r. Suppose r = -a - 15. What is the common denominator of 65/12 and (-188)/a + (-6 - -5)?
108
Suppose -176 = -252*x + 244*x. Suppose 155 = 9*w + x*w. What is the lowest common multiple of w and 24?
120
Let c be (-572)/16 + 2/(-8). Let p = 72 - c. Suppose -x + 8 = 3*x, 5*o + 4*x = p. Calculate the least common multiple of 40 and o.
40
Calculate the least common multiple of 2025 and ((-7806)/(-14311))/(67/66 - 1).
8100
Let n(p) = 81932993*p + 4. Let i be n(2). Let r = i + -376236320869/2296. Let s = r - -10/287. Calculate the common denominator of -35/18 and s.
72
What is the common denominator of -41/10 and (-433355)/(-1205032) + 6/(-16)?
13330
Let i = -29 + 51. Calculate the least common multiple of i and (462/(-121) - -4) + 64/11.
66
Let l(z) = z - 10. Let g(o) = 10. Let y(d) = -3*g(d) - 2*l(d). Let w be y(-11). Suppose w*k - 90 = 7*k. What is the lowest common multiple of 16 and k?
144
Let g = -19/223 - 16648/11373. Calculate the common denominator of g and 73/459.
459
Let i = -4409/4 + 1108. Calculate the common denominator of i and 246/208 - 1/2.
104
Let h(q) = -4*q**2 - 20*q - 42. Let a be h(-5). What is the common denominator of -39/112 and ((-6)/12)/((-2)/a)?
112
Let l = 2421401/264 - 9172. Find the common denominator of 23/1419 and l.
11352
Let a = 30402941/36 - 844607. Let f = a + 343/4. Calculate the common denominator of f and 56/9.
9
Suppose 0 = -j - 2*j + 12. Let f(k) = -k**2 + 44*k + 14. Let s = 265 - 221. Calculate the lowest common multiple of j and f(s).
28
Let i = 2828051 + -84852923/30. Let a = 380 + i. Find the common denominator of -22/3 and a.
30
Find the common denominator of (-1)/(-4) + 482/408 and (-6)/15*604/192*4.
510
Let s(d) = 31*d - 1141. Calculate the least common multiple of s(37) and 16.
48
Let u(c) = -5*c + 1. Let a be u(1). Suppose -5*i + 45 = 5*s, 5*s - 99*i - 48 = -107*i. Calculate the lowest common multiple of s and (-1)/2 + (-42)/a.
40
Let m be ((-14)/(-6) - 1)*(-135)/10. Find the common denominator of -167/60 and ((-380)/(-28))/(m/(-21)).
60
Let l = -9633845872921610087/1753083734544 - 1/92267564976. Let m = -5495350 - l. Let f = m + -869/57. Calculate the common denominator of -88/15 and f.
120
Let x(a) = a**2 - 1 + 3 + 3 - 3 + 3*a. Let i be x(-3). Let y(f) = f**3 - f**2 + 4*f - 2. Calculate the lowest common multiple of y(i) and 14.
70
Let n(a) = a**3 - 63*a**2 + 145*a - 1951. Calculate the lowest common multiple of 8 and n(67).
25720
Let k be 0*(-1)/(-2)*(-26 - -25). Suppose -2*t + 147 - 49 = k. Calculate the common denominator of -8/247 and t.
247
Let r be ((-8)/(-16))/((-2)/(-284)). Let k = r + -47. Calculate the common denominator of -52/33 and (-19)/k + -1 - 2.
264
Let t = 1/1240312 + -17585763701/11162808. Let g = t + 1574. Let k = 489/22 + -4421/165. Calculate the common denominator of k and g.
90
Suppose 405 = 3*v + 4*w - 3*w, 0 = -v - 5*w + 121. Calculate the least common multiple of v and 42/(-84) - (-177)/2.
1496
Suppose -z + 211 = -77. Suppose -y - 2 = b, 4*b + 13 - 20 = -y. Suppose 0 = -b*h, 3*s - z = -s - 4*h. What is the smallest common multiple of 6 and s?
72
Let b = 217 + -161. Let l(y) = y + 13. Let j(t) = -t**2 + t + 3. Let c be j(4). What is the lowest common multiple of l(c) and b?
56
Let r = 2740 + -4580. What is the common denominator of 8/(-36) + r/468 and 16/3?
39
Suppose 0 = 253*a + 314 - 1708 - 3919. Suppose -9 = 3*r - 6*r. What is the lowest common multiple of r and a?
21
Suppose -1634*c + 1647*c - 13013 = 0. What is the least common multiple of c and 33?
3003
Let s = 6858 + -788671/115. What is the common denominator of s and -53/322?
1610
Let x be 5938*4/(-3648) - (-6)/48. Let k = x - -539768/84417. Let u = 81839/47392 - k. Find the common denominator of u and 23/8.
32
Let u(z) be the third derivative of -6*z**2 + 7/120*z**6 - 1/60*z**5 + 0*z**4 + 1/6*z**3 + 0 + 0*z. Find the common denominator of u(-1) and -73/2.
2
Suppose 2*v - 5*g = -g - 12, 5*g - 29 = -v. Let a be 5495/330 - 0 - v. Let s = a + -40/3. Calculate the common denominator of -59/12 and s.
132
Suppose -3*f = 548 + 460. Calculate the common denominator of 6/(-21) + 177/f and 6/(-4) - (-13 + 1136/80).
80
Let a(j) = -j**2 + 13*j - 2. Let k = -30 - -41. What is the least common multiple of a(k) and -54*(6/9 - 1)?
180
Let u(b) = -26 + 24*b - b**3 + 21 + 15 - 11*b**2. Let n be u(-13). What is the common denominator of 45/8 and 130/n - (6 + -7 - 0)?
72
Suppose 2*t - 4*n - 16 = -3*n, n + 24 = 3*t. Suppose -5*q = -3*q - t. Let c = 11 + -1. What is the smallest common multiple of c and q?
20
Let n = -1624598 + 2680586563/1650. Calculate the common denominator of -23/8 and n.
6600
Let y be -2 + 5 - (1 - -13). Let j(w) = w**3 + 11*w**2 + w + 15. Let g(a) = -a**2 + 56*a - 488. What is the least common multiple of g(44) and j(y)?
40
Let h(o) = -o**2 - 1. Let k be h(2). Find the common denominator of k/9*15/(-2) and (31862/2848 + (-10 - 1))*46.
24
Suppose -2*m = -4, -38 = -p - p - 4*m. Suppose -2*a - q - 2 + 0 = 0, 3*a - 3*q - p = 0. What is the smallest common multiple of (4 - 0/4) + a and 7?
35
What is the lowest common multiple of 10542/9 + -1 - (-278)/(-834) and 910?
8190
What is the common denominator of -69/8 and (-35275)/8432 - (-12 - -8)?
496
Let k = -1350343789/2646 - -510334. Calculate the common denominator of -115/6 and k.
2646
Let r(s) = 8*s**2 + 16*s + 6. Let t be r(-4). Calculate the smallest common multiple of 204 and 5*t/(-50)*36/(-14).
612
Let x(q) = -q + 7. Let p be x(5). Suppose -5*i = p - 7, -2 = -v + 2*i. What is the smallest common multiple of v and (252/105)/(3/5)?
4
Let y = 18330737/180 + -101838. Find the common denominator of 77/740 and y.
6660
Let f be 1 + -2 + 7/1. What is the common denominator of 3/9*12/(-32) - 0 and (2/f)/(6/134)?
72
Suppose -2*f - 2*g + 38 = 0, 0 = 4*f - 38*g + 37*g - 71. What is the least common multiple of f and 712?
6408
Let t be (-1)/3 + (-1)/(24/(-872)). Suppose -s + t = -96. Calculate the lowest common multiple of s and 18.
396
Let i(z) = 121*z + 88. Let a be i(-8). Let q = a - -1234. What is the smallest common multiple of 6 and q?
354
Let a(l) = -2*l**2 - 151*l - 1557. What is the lowest common multiple of a(-63) and 273?
1638
What is the least common multiple of 370/10 - (-10 + 23) and 8?
24
Let k(g) = -2*g**3 - 27*g**2 - 12*g - 17. Let b be k(-18). Suppose 4*h = 1829 + b. Calculate the common denominator of h/324 - 1*2 and -56/15.
135
What is the common denominator of (-5)/((-1610)/(-28)) + 3194/(-828) and -43/12?
36
Let l(w) be the first deri