
Let s(q) = 3*q + 62. Let x = 17 + -30. Let h be s(x). What is the common denominator of -8/27 and 103/24 + (-69)/h?
216
Let z be 14/(-2 + 3)*45/(-6). Let s be (-185039)/z + 4/(-24)*-2. Let d = s - 8794/5. Calculate the common denominator of 23/11 and d.
231
Let p = -3924481 - -12417057777/3164. What is the common denominator of p and 53/70?
15820
Suppose 26*b + 35 - 503 = 0. Calculate the common denominator of 22/3 and -5 - (3/b)/((-10)/705).
12
Suppose -12*b + 143 = -61. Suppose -a + 35 = -4*c, 2*a - 11 = c + 24. Let h = b - a. What is the smallest common multiple of 9 and h?
18
Let i = -11 - -28. Let a be (-23)/(-7) - i/(1071/18). Let m(o) = -o + 5. What is the least common multiple of m(a) and 1?
2
Let y(l) = -9*l**2 + 61*l + 4. Let z be y(-13). Find the common denominator of (-1437)/z + (-9)/45 and -95/42.
462
Suppose 16*m = 3*u + 15*m - 9, 5*u - 23 = 3*m. Suppose 5 = b - 12. Let w = b + -9. Calculate the least common multiple of w and u.
8
Let a(s) = 65*s - 73. Let k be a(5). Let h = k + -232. Calculate the smallest common multiple of 36 and h.
180
Suppose 0 = -4*h - 4*u + 176, -119 - 105 = -5*h - u. What is the lowest common multiple of 40 and h?
360
Let s(i) = -2*i**3 + i - 4 + 3*i**3 - 2*i**3 + 2*i**2. Let x be ((-56)/(-70))/((-4)/10). Calculate the least common multiple of s(x) and 3.
30
What is the smallest common multiple of ((-2349)/145 - 2/(-10))*-8 + 2 and 442?
2210
Suppose -4*c + 56*m = 58*m - 134, -2*m = -3*c + 97. What is the lowest common multiple of c and 405?
4455
Let f be (158/(-6))/(-2 - (-119)/63). What is the common denominator of f/12 - 6/(-1 - 1) and 51/4*2/(-7)?
28
Let s(l) = -l**2 + 3*l - 1. Let t be s(3). Let r(f) = 150*f**2 - 2*f - 2. Let j be r(t). What is the common denominator of -119/18 and 395/j + (-1 - 1) + 3?
90
Let g(j) = 12*j**2 - 754*j + 126. What is the least common multiple of 72 and g(63)?
504
Let q = -38 - 151. Let j = 191 + q. Calculate the least common multiple of 6 and j.
6
Let b be (-14)/(-8)*173286/(-1539). Let y = -3738/19 - b. Find the common denominator of 25/3 and y.
114
Suppose 43*o - 64*o + 210 = 0. Let b be ((-1)/1)/1*-5. Suppose b*g = -5*u + 40, -2*g = -0*u - 2*u. What is the lowest common multiple of o and u?
20
Suppose -f = 11 - 32. Suppose 17 = -4*y + f. What is the common denominator of -7/3 and -3 - y/3*53?
3
Let y = -4033/1062 + -85/177. What is the common denominator of 77/1394 and y?
12546
Suppose 0 = -3*w - 2*v - 9, 3*w + 0*v = -v - 9. Let b be (-2)/7 + 11308/28 + w. Let p = b + -27403/70. What is the common denominator of p and -21/20?
20
Calculate the least common multiple of 980 and (-23 + 28)*(-588)/(-8)*8/6.
980
Let l(u) = -7 - 6*u + 6*u**2 - 5*u**3 + 4*u**3 - 8*u**2. Let m(k) = 5*k - 31. What is the lowest common multiple of m(7) and l(-3)?
20
Let o = 48781/15 + -3246. What is the common denominator of o and ((-9)/105)/((-4)/(-52))?
105
Let x = 1065616051/1176 + -906146. Let g = x + 4/147. Calculate the common denominator of g and ((-38)/1615)/(3 - 851/285).
136
Let j be (-3)/3*0/1. Suppose 5*s = -20, 2*l + 2*s = -j*s + 56. Calculate the lowest common multiple of -282 + 289 - (((-58)/3)/2 + (-62)/(-93)) and l.
32
Suppose 14*z = 8*z + 132. Suppose 0 = -32*u + 27*u + 120. Calculate the smallest common multiple of z and u.
264
Suppose 0 = 5*k + 2*z - 7, k + 7 = -4*z - 6. Suppose -2*y - 3 = -k*g, -5*y - 5*g - 36 = -3*g. Calculate the common denominator of -91/8 and 2/y*(38 - -3).
24
Suppose o - 1 = -29. Find the common denominator of -26/57 and (-815)/60 + o/(-4).
228
Suppose -9*y + 3*y - 6 = 0. Calculate the common denominator of 1246/140 + (1 - y) and (-89)/(-10) - 20/(-25).
10
Suppose -2*t + 4*l + 1 - 23 = 0, 0 = 2*t + 5*l - 23. Let o = -412 - -1193/3. Calculate the common denominator of ((-3)/9)/((11/(-29))/t) and o.
33
Let a = -3429 + 150883/44. Calculate the common denominator of a and -9/55.
220
What is the common denominator of (-664)/(-24)*(0 + 4 - (-86967)/(-21762)) and -43/2?
806
Suppose 5*i + 0*i = 2*k + 6, 0 = -5*k + 10. Let m(f) = f + 3. Suppose -4*t - 9 + 53 = 0. Calculate the lowest common multiple of t and m(i).
55
Let s = -191 + 224. Let u(v) = -v**2 + 35*v - 42. Let j = -44 - -74. What is the lowest common multiple of j and u(s)?
120
Let y(q) be the first derivative of -q**2/2 + 23*q + 27. Let t be y(23). Calculate the least common multiple of 55 and 420/21 + -5 + t.
165
Suppose -z + 2*z = 3. Suppose -5*g = z*s + 2*s, 2*s = 2*g + 20. What is the common denominator of -11/20 and g/9*(-6 - (-18)/(-12))?
60
Let n(r) = 10*r**2 - 126*r + 49. What is the smallest common multiple of n(-4) and 8?
5704
Let w be 2/(-3) + 8/12. Suppose 18*t - 14*t + 112 = w. What is the common denominator of t + 2 - (-4)/(-6)*3 and 97/2?
2
Suppose -2*t - 250 - 416 = 0. Calculate the common denominator of (6/t)/(44/2871) and 47/4.
148
Let y = 5 + 1. Suppose -m + y = -15. Suppose 24 = 2*k - 6*q + 3*q, -k + 3*q = -21. What is the lowest common multiple of m and k?
21
Let b = -6960 + 556743/80. What is the common denominator of b and 109/310?
2480
Suppose 0 = 6*k + 503 - 1841. Suppose -k*c = -246*c + 828. Calculate the least common multiple of c and 30.
180
Suppose 0 = -k - 2, -2*l + 2*k - 2 - 4 = 0. Let j be (-1 - (-54)/42) + l/(-7). Calculate the least common multiple of 20 and j*(2 - 3)/(5/(-60)).
60
Suppose x - 2*h = 6, h = x - 0*x - 7. Let g be (-2)/x - 20/(-16). Find the common denominator of -21/8 and (-2)/(-8) + (g - (-13)/3).
24
Let z = 514/59 + -164556/18821. Calculate the common denominator of -35/58 and z.
638
Let c(t) = -7*t + 7*t - 8*t**3 + 1 - t**2. Suppose 4*r + 201 = 197. What is the smallest common multiple of 14 and c(r)?
56
Let p = -18/2545 - -34139/5090. Let y = 7187/8 - 1805/2. What is the common denominator of p and y?
40
What is the common denominator of 82/(-12) - (2 + -1) and (-3140)/(-63585)*(-57)/2?
54
Suppose 14456 = 120*s + 19*s. Calculate the lowest common multiple of 104 and s.
104
Suppose 516 - 3474 = -6*k. Let v = 497 - k. Calculate the lowest common multiple of 2 and v.
4
Let m be (-5 + 6)/(2/(-216)). What is the common denominator of (174/(-243))/(32/6 - 4) and 195/m - 1 - 4/(-18)?
108
Let p = -5581 - -66919/12. Let q be ((-158)/4)/(27/(-234)). Let d = q - 333. Find the common denominator of p and d.
12
Let o = 303626317/2898 - 942940/9. What is the common denominator of o and -28/207?
2898
Suppose -18*m + 10296 = 8*m. Let x = m - 390. Suppose -4*l + 64 = 2*q, 5*l + 3*q - 79 = -1. Calculate the lowest common multiple of x and l.
18
Let p = 694 - 4187/6. Let n = 25981/6 - 4349. Let b = p + n. Find the common denominator of b and 18/11.
33
Let w(b) = 6*b - 51. Let r be w(-16). Let j = r - -153. Calculate the smallest common multiple of 100 and j.
300
Suppose -5*t - 10 = -5*i + 35, 2*t = -5*i + 45. Calculate the smallest common multiple of i and 27.
27
Suppose 11*w = w + 60. Let t(z) = -z**3 - 7*z**2 - 2*z - 8. Let i be t(-7). Suppose -i*d = -5*d - 16. Calculate the lowest common multiple of d and w.
48
Suppose 3*o - 8*a - 885 = -6*a, 2*o + 4*a = 590. Let g = -255 + o. Calculate the least common multiple of 8 and g.
40
What is the common denominator of (-21)/(-36)*((-33)/11 - 2) and -59/153?
612
Let r = -4124 + 5465. What is the lowest common multiple of r and 3874?
34866
Let y = 826684/35 - 23618. What is the common denominator of -71/28 and y?
140
Let w(v) = v**2 - 4*v + 30. Calculate the lowest common multiple of 1221 and w(3).
10989
Let h = -30115/4 + 7534. What is the common denominator of (-25)/4 + (-6)/(-18) and h?
12
Let u = -124 + 1774. Let f = -6473852 + 129510031/20. Let n = f - u. Calculate the common denominator of n and -81/22.
220
Suppose -p - l + 1 = 0, -4*p - 3*l + 6*l = 3. Suppose p = -6*r - 131 - 43. Let u = r + 32. Calculate the lowest common multiple of u and 7.
21
Find the common denominator of -1/99 and ((-226)/(-20))/((-9315)/(-575)).
1782
Let l = 1/209 + -8999/2508. Let s = 22757/4455 + -7/405. Find the common denominator of l and s.
132
Suppose 22 - 85 = 9*b. Let c be b/28 + (-494)/8. Calculate the smallest common multiple of (-3)/9 + c/(-6) and 16.
80
Let b = 92 - 113. Let i be 0/b*((-2)/2 + 0). Calculate the least common multiple of 10 and 3/(6/38) + (i - -1).
20
Suppose -4*z = 2*y - 1172, -z - y + 371 - 81 = 0. What is the