Suppose -2*o + 8*z - m*z = -308, -4*o - 5*z + 556 = 0. Suppose -7*h = -h - o. Calculate the smallest common multiple of h and 4.
24
Let x(f) = -42*f**3 + 7*f**2 - 27*f + 9. Let m be x(7). Let z = m + 854447/60. Find the common denominator of -79/2 and z.
60
Let r = 2724 + -16273/6. Let x = 4300946593/1819640 - -1/909820. Let g = 4709/2 - x. What is the common denominator of g and r?
24
Let s = 3419 + -3327. What is the smallest common multiple of 8 and s?
184
Let c = -230 - -242. Find the common denominator of ((-79)/12)/((-2)/(-3)) and (-30)/(-8) - 3/(c/(-16)).
8
What is the lowest common multiple of 7 + 2071 + 2 + -10 and 690?
2070
Suppose -24*y = 37*y - 23973. Calculate the least common multiple of 7 and y.
2751
Let x be (-3 - -2)/(((-30)/9)/10). Let g(r) = r**3 - 12. What is the lowest common multiple of g(x) and 24?
120
Find the common denominator of 71/1359 and (1*(-30)/(-21))/(1819/7 - 1).
2718
Suppose 19*z + 17*z - 1620 = 0. What is the least common multiple of 171 and z?
855
Let m = 4679157587 + -3063674832. Let w = m - 5660651625499/3504. Let t = -1/1168 - w. What is the common denominator of 19/11 and t?
66
Suppose -4*r - 612 = -4*n, -2*r + 4*n - 160 = 152. Let c = -33103/1389 - 1/926. What is the common denominator of c and ((-1)/8)/(1 - r/(-138))?
48
Let t be (-1 - (-1 + 1)) + 15 + -1. Let y(f) = 3*f**2 + 14*f + 10. Let w be y(-4). Suppose 0 = w*z - t + 5. What is the smallest common multiple of 8 and z?
8
Suppose 4*j + 17*s - 20*s - 2007 = 0, -4*s = -12. What is the lowest common multiple of 108 and j?
1512
Let k = -14916 + 16320. Calculate the lowest common multiple of k and 39.
1404
Suppose 8*h - 1 - 167 = 0. Find the common denominator of h/(504/16) + 682/(-690) and 109/50.
1150
Let w be 3 + 2/(-2)*13/13. Suppose -r = -5*s - 30824, 16 = 2*r + w*r. Let h = s - -73925/12. Calculate the common denominator of h and -71/10.
60
Let y be 2/(-7) - (-4)/14. Calculate the common denominator of (-261)/(-12) + y/(-3) and ((-71)/(-11))/((-980)/(-1078)).
20
Suppose 3*c = -z - 27, 14*z + 75 = 10*z - c. Calculate the common denominator of (55/20 + -3)/(z/(-212)) and 109/18.
18
Let l = 26602/2465 + -123/85. Let i = 3497/638 - l. What is the common denominator of i and -23/18?
198
Calculate the smallest common multiple of 18 and 2 - 908*((-133)/(-28) - 6).
6822
Let q be (-2534)/72 + (-5)/(-20). Let g = q + 106/3. What is the common denominator of (-1049)/182 - 208/676 and g?
126
Let r = -3920 + 3925. Calculate the lowest common multiple of 1398 and r.
6990
Let l(t) = -11*t - 25. Suppose -5*o + 135 = 4*p - 3*p, 119 = 4*o + 3*p. Let d = o + -31. What is the lowest common multiple of 11 and l(d)?
330
Suppose 4*v = -5*x + 56, -x - 4 = -25*v + 22*v. What is the smallest common multiple of x and 1432?
1432
Let i = -1/290417 - -2618753/1452085000. Find the common denominator of i and -89/4.
5000
Let d be 24/7 - 27/63. Suppose -5*n - d*h = -123, 2*h + 45 = 2*n - h. Calculate the common denominator of 151/6 and ((-217)/n - -8) + 2/2.
24
Suppose 100 = a - 4*w - 6*w, -a - 4*w + 114 = 0. Calculate the smallest common multiple of a and 154.
770
Calculate the lowest common multiple of ((-168)/(-20))/(102/85) and 3047.
21329
What is the common denominator of (1830/(-375))/((-126)/(-35)) and -73/1278?
6390
Let x = -2 + 7. What is the smallest common multiple of (22/4)/((-3355)/(-40870)) and x?
335
Let s(x) = 39*x + 183. Let a be s(-7). Find the common denominator of (146/250)/(36/a) and 6/7.
350
Suppose l = -1, -5*a - 4*l - 401 = -7597. What is the least common multiple of a and 120?
1440
Suppose -l + 9*l + l - 495 = 0. What is the smallest common multiple of 21 and l?
1155
Let w(q) = -q**3 - 29*q**2 + 29*q - 28. Let o be w(-30). Calculate the smallest common multiple of (63 - 21/3)/(o/1) and 6.
84
Let y = 120 - 120. Suppose 4*g = 3*o + 35, 2*g + 0*o + 2*o = y. What is the common denominator of (10/(-8))/(g/(-100)) and 137/6?
6
Let v = -8114/3 - -2726. Suppose -2*h - 90 = 4*l, 0 = 3*l - 6*h + 2*h + 84. What is the common denominator of 63/l*(-1)/(-3) and v?
24
Let z = -17808 - -18313. Calculate the lowest common multiple of z and 1515.
1515
Find the common denominator of 69/452 and 632/(-768)*4 + 9.
2712
Suppose 2*t + 613 = -t + 5*n, -n = -2*t - 404. Let j = -18399827/89428 + 4/22357. Let u = t - j. What is the common denominator of -27/16 and u?
16
Let u(n) = 2*n**2 - 7*n + 5. Let k be 2 + -1 + 4 + 1 + 0. Suppose -k*t + 25 - 13 = 0. Calculate the smallest common multiple of t and u(4).
18
Let h(k) be the third derivative of 5*k**4/12 + 95*k**3/3 + 225*k**2. What is the lowest common multiple of h(-13) and 45?
180
Let s(k) = -98*k + 251. Calculate the least common multiple of 280 and s(2).
3080
Let x = -580057/50 - -11602. What is the common denominator of 77/3210 and x?
16050
Suppose -3*q + 12 = -s, q - 3*s + s - 9 = 0. Calculate the common denominator of 42/49 + (-99972)/7560 - 2/(-3) and (-68)/(-3)*q/(-22).
110
Let h = 7 + -1. Suppose 2*b - r = -5*r, -3*b + 3*r = -45. What is the smallest common multiple of h and b/60 - 178/(-12)?
30
Find the common denominator of 166/265 - 6/15 and 1810/(-1991)*(-11)/6.
159
Let r = -55/16 - 353/144. What is the common denominator of (-22)/(4/(-16)*10) and r?
45
Let q be 238/(-12) - (-16)/(-96). What is the lowest common multiple of (q/8)/(20/(-96)) and 18?
36
Let s be (-2032060)/50*3/18. Let b = -6769 - s. What is the common denominator of (1/(-8))/(6/584) and b?
30
Suppose -864 = 95467*o - 95539*o. Let y(d) = -5*d + 2. Let z be y(-4). Let t = -13 + z. What is the lowest common multiple of o and t?
36
Suppose -76*q + 74*q - 80 = 0. Let k = 40 + q. Calculate the least common multiple of 12 and 1/(k - -3)*9.
12
Let i = -938/3 - -3719/12. Let l be ((-12138)/(-45))/(-2) - -1. Let z = 8353/60 + l. Calculate the common denominator of z and i.
20
Let w = -16089 + 16425. What is the least common multiple of 2016 and w?
2016
Suppose -4*o = -6271 + 55. Let g = 27995/18 - o. Calculate the common denominator of 44/15 and g.
90
Let i = -6660941/176 + 37846. What is the common denominator of -65/418 and i?
3344
Let n = -498 + 510. Let r(p) = 0 + 3 - 6 - p + 7. What is the least common multiple of n and r(-11)?
60
Let t = -4378 + 148957/34. Let d = 4/1451 - -120425/2902. Find the common denominator of t and d.
34
Suppose -13806 = 3*v - 5*d - 38706, -3*v + 2*d + 24891 = 0. Calculate the least common multiple of 189 and v.
74655
Let d(v) = -v**3 - 7*v**2 + 7*v + 30. Calculate the smallest common multiple of 12 - 7*10/35 and d(-8).
190
Let j be (810/(-25))/(-9) - 4/(-10). Suppose 0 = l + 4, -5*l + 22 = -3*k + j*k. What is the lowest common multiple of 20 and k?
420
Let a(g) be the second derivative of 7*g**3/6 - 17*g**2/2 + 9*g. Let j be a(11). Let r = 80 - j. Calculate the lowest common multiple of r and 10.
20
Let z = -505 - -487. What is the least common multiple of 2 - 1 - 0*9/z and 86?
86
What is the least common multiple of 280 and 126/((-660)/(-40) - 16)?
2520
Let l(x) = x**3 + 16*x**2 + x + 21. Let z be l(-16). Calculate the common denominator of 2/z - (8 + (-31272)/4620) and 67/2.
154
Find the common denominator of 54/540 + (1 - -5) and -103/654.
3270
Let m be 1 + -1 - (429486/(-144) - -7). Let s = -2976 + m. Find the common denominator of s and 131/24.
24
Suppose x - 1 = 5. Let j(w) = w**3 + 13*w**2 + 17*w + 62. Let o be j(-12). Suppose 5*t + 8 = o*h, 5*t = 9*t. What is the lowest common multiple of x and h?
12
Let g = -8 - -32. Suppose -2*n = 6, 14 = 5*u + 5*n - 31. Calculate the smallest common multiple of g and u.
24
Let c(k) = 70*k - 20. Let l be c(1). Calculate the common denominator of 1400/80*(2 + (-84)/l) and 31/18.
90
Calculate the common denominator of -85/684 and (-701)/1332 + (-736)/(-13616).
684
Let h(a) = -a**3 + 6*a**2 - 7*a + 6. Let r be h(4). Let c = r + -8. Let y = 699 - 670. Calculate the least common multiple of y and c.
58
Suppose -15*j + 550 + 890 = 0. Suppose -35*p = -39*p + j. What is the smallest common multiple of p and 72?
72
Calculate the common denominator of 115296/1267200 - (-4)/(-22) and -80/21.
8400
Let r(v) = -1860*v**3 + 2*v**2 + 11*v + 8. What is the lowest common multiple of r(-1) and 99?
16731
Let p be (6/878)/(4/(-12439)). Let s = p - -1/878. What is the common denominator of -91/86 and 