210
Suppose 0 = 4*w + 4*n - 32 - 32, 4*w - 2*n = 64. Calculate the least common multiple of 48 and w.
48
Let k = -109 + 161. Suppose -3*h + 2*h = -2*n + 20, 3*n - k = -4*h. Suppose -6 = -14*f + n*f. Calculate the least common multiple of f and 6.
6
Let o = 14231034/11 + -1292515. Suppose -61914 = -33*u - 18*u. Let q = u - o. Find the common denominator of q and -73/6.
66
Suppose 0 = 15*r - 3*r - 17184. What is the least common multiple of 2 and r?
1432
Let d = 273 + 1571. Calculate the smallest common multiple of 2 and d.
1844
Let b = -9 + 5. Let i = -78 - -83. Calculate the least common multiple of i and (6 + b)*2*1.
20
Let o be (-478)/(-5) - 4/(-10). Let h = 29687/96 - 922/3. Find the common denominator of h and 4/6 - (-50)/o.
32
Suppose -4*a = -2*s - 6, 33 - 8 = 5*s. Suppose -a = -l + 3*n, -l + 0*l - n = -4. Suppose 8*x - l*x - 24 = 0. Calculate the least common multiple of 3 and x.
6
Let j = -12 + 21. Calculate the smallest common multiple of j and (-16)/56 + (-40)/7 - (4 - 22).
36
Calculate the common denominator of 3933/(-608) + (8 - -1) and 37/144.
288
Calculate the common denominator of 58/(-348)*(-78)/(-1036) and -95/6.
3108
Suppose -6*r + 5 + 55 = 0. Calculate the common denominator of 27/7 + r + -11 and -71/4.
28
Suppose 153 = 5*q - 2*j - 197, 0 = -5*j. Let y = -160483/10524 - 2/2631. Find the common denominator of y and 2/(-6) - q/(-36).
36
Let b(y) = y**3 - 8*y**2 + 9*y - 3. Let n be b(6). Let c = n + 26. Suppose -34 = -3*t - i, 2*i = -4*t + c*i + 41. What is the lowest common multiple of 9 and t?
99
Let z = -578 + 594. Let o(g) = -g**3 + 7*g**2 - 2*g - 6. Calculate the least common multiple of z and o(6).
144
Let i be -171 + 5 - (1 + -1). What is the common denominator of 57/4 and (i/(-16))/((-28)/(-16))?
28
Let g be -1*(-5*3)/3. Suppose 0 = -x - 2*n + 14, -x + g*n - 17 = -2*x. What is the least common multiple of 14 and ((-16)/x)/(3/(-9))?
28
Let m = -2/10563 + -292175/359142. Find the common denominator of m and -53/24.
408
Let s be ((-512)/(-24))/(2/(-12)). Let v = 9/409 - -21169/4499. Calculate the common denominator of v and (-4)/1*(-396)/s.
88
What is the lowest common multiple of (2 + 48/(-15))*145855/(-62) and 1?
2823
Suppose 18*x + 6*x = 192. Calculate the lowest common multiple of x and 80.
80
Let o(z) = 2*z + 20. Let i(s) = -5*s. Let g be i(-4). Let a = 11 - g. Calculate the least common multiple of 28 and o(a).
28
Let v(x) = -46*x**3 - x - 1. Let s be v(-1). Suppose -g = -6*w + 2*w + s, 0 = w + 4*g - 20. What is the least common multiple of w and 28?
84
Let q = 1537/3 + -2977/6. Find the common denominator of q and 55/119.
714
Let a(k) be the second derivative of -k + 0 - k**2 - 8/3*k**3. Calculate the least common multiple of a(-1) and 8.
56
Suppose 0 = d - 2*x - 4, -5 = 4*d - 6*d + 5*x. Let v = 24 - d. Calculate the smallest common multiple of 6 and v.
42
Let t = -7579/4 + 1884. Find the common denominator of t and ((-2)/6)/(48/(-81)).
16
Let k(h) = h**3 - 4*h**2 - 2*h - 12. Suppose -15 = -2*w - w. Let z(j) = j**3 - 4*j**2 + 4*j + 5. What is the least common multiple of z(3) and k(w)?
24
Suppose 0 = -43*u + 80*u - 3626. Calculate the lowest common multiple of u and 56.
392
Let v(z) = -z**3 - 6*z**2 - 3*z + 24. Let g = 11 + -1. Calculate the least common multiple of g and v(-4).
20
Let i(o) = 18*o**3 + 2*o**2 + 3*o + 2. Let r be i(-2). Let k = -85 - r. What is the common denominator of 22/5 and 17/(-5)*k/99?
45
Suppose 0*n - 4*n = 0. Suppose -y - 1 = n, 2*y - 37 = 2*x - 7. What is the smallest common multiple of 18 and 27/6*x/(-6)?
36
Let x(m) = -4 + 0*m - m + m**3 + 5*m + 4*m**2. Calculate the common denominator of ((-2)/12)/(((-3)/(-210))/(-1)) and x(-5).
3
Let g = 112 + -109. What is the common denominator of 9/14 and g + (-22)/10 + 1868/240?
84
Let l(o) = 4*o - 4. What is the lowest common multiple of (-54)/(-14) + (-12)/(-84) and l(3)?
8
Let j = -28532/45 + 635. What is the common denominator of -115/6 and j?
90
Let g = 85177/12 + -7108. Calculate the common denominator of g and (2/30)/((-2)/69).
60
Let u(x) = -7*x - 57. Let d be u(-11). Suppose 4*y - 4 = y - 2*g, d = 4*y - g. Calculate the least common multiple of 11 and y.
44
Let r(h) = 686925*h**2 + 6*h - 11. Let z be r(-11). Let f = -215275232257/2590 + z. Let u = -2/259 + f. Calculate the common denominator of u and 81/20.
20
Let a = -8351 - -200359/24. What is the common denominator of -61/28 and a?
168
Suppose -267 - 30 = 3*n. Let t = n + 9. Find the common denominator of t/(-16) + (7 - 7) and -29/10.
40
Suppose 9*x + 88 = 7*x. What is the common denominator of 97/(-15)*10/(-12) and 9/(-4)*x/(-10)?
90
Let z(s) = s**2 - 3*s - 2. Suppose 5*h - 3*c = 9 + 25, 0 = 5*c - 10. What is the least common multiple of h and z(5)?
8
Suppose -d + 7*z = 2*z - 32, -4*d + 4*z + 96 = 0. What is the lowest common multiple of 304/17 + (-316)/(-2686) and d?
198
Suppose 7 + 245 = 14*y. What is the smallest common multiple of 72 and y?
72
Let k(s) = -s**2 - 3*s + 1. Let p be k(-3). Suppose -y + p = -1. Suppose -2*z = -v + 4, -4 - 6 = -y*v + 3*z. What is the smallest common multiple of 3 and v?
24
Suppose 0 = 3*q + 2 - 11. Let i = -1 - -2. What is the smallest common multiple of q/(-2)*(-8)/12 and i?
1
Suppose -p - 4*p = -10. Suppose -5*c + 74 = -3*x, -2*c + 118*x = 115*x - 26. Calculate the least common multiple of p and c.
16
Let t = -4 + 12. Suppose -t = b - 10. Suppose -2*d - 12 = b*l - 4, 3*l + 4*d = -17. Find the common denominator of -17 and l.
1
What is the common denominator of 130/(-585) - 145/18 and 61/12?
36
Let h = -16162327/23659898 - -2/166619. What is the common denominator of 93/14 and h?
994
Let c be (39/(-9) + 3)*36. Let d be (c/2)/4 - 3. What is the lowest common multiple of -3 + d/(-4 - -3) and 2?
6
Let j(n) = 182*n**2 - 10*n - 13. Let r be j(-7). Let t = r + -161683/18. Find the common denominator of 17/8 and t.
72
Suppose 8 = 2*m + 4. Suppose m*x + 189 = x. Calculate the common denominator of -83/8 and (3/2)/(x/392).
72
Let m(s) = -2*s**3 + 11*s**2 + 4*s + 14. Let h(x) = -x**3 + 11*x**2 - 10*x + 8. What is the least common multiple of h(10) and m(6)?
8
Let t = 107551/84 + -9046/7. Calculate the common denominator of -13/15 and t.
60
Suppose 181 = 5*s - w, -2*w + 1 - 3 = 0. Let f(x) = -x**2 + 167*x + 1226. What is the lowest common multiple of f(-7) and s?
72
Let o = -4/669217 + 18135111539/9369038. Suppose -4*r + 5*m = 7759, 2*r + 7762 = -2*r + 2*m. Let w = r + o. Calculate the common denominator of w and 27/16.
112
Let p(q) = q**3 + 7*q**2 + 4*q - 2. Suppose 0 = -0*b + 2*b, 5*b + 8 = -2*t. Let d(i) = -i + 14. What is the least common multiple of p(t) and d(8)?
30
Suppose -3*j + 13 = 1. Suppose 0 = 10*k + 19*k - 174. What is the smallest common multiple of j and k?
12
Suppose 3*w = -5*o + 61, 4*o - 62 = -7*w + 4*w. What is the least common multiple of 4 and w?
44
What is the smallest common multiple of 57 and 70 + -72 - (-1 + 1*-34)?
627
Let y = 1 - -3. Suppose 88 = y*u - 0*u. Let t(c) = -c**3 + 13*c**2 - 11*c + 10. Calculate the least common multiple of t(12) and u.
22
Let k = 540745/28 + -19309. What is the common denominator of 35/24 and k?
168
Let q = 2508 + -2475. Calculate the lowest common multiple of q and 110.
330
Let s = 61 + -65. Calculate the common denominator of (-235)/(-135)*6*(-2)/s and -35/8.
72
Let f(w) = -3*w - 25. Let a be f(-10). Suppose -7*l + a*l + 40 = 0. Calculate the smallest common multiple of 10 and l.
20
Suppose -z = -5*z + 5*j + 447, 4*z = 4*j + 444. What is the smallest common multiple of 10 and z?
540
Let o = 16961 - 339103/20. Find the common denominator of o and 4/10 - 1362/(-3840)*-8.
80
Suppose 22*x = 23*x - 1. Calculate the least common multiple of -3 - (x - -3*28/(-6)) and 9.
90
Let h(p) be the second derivative of 2/3*p**3 + 3*p + 1/12*p**4 - 7/2*p**2 + 0. What is the least common multiple of 14 and h(-6)?
70
Let p(m) = 2*m**2 - 4*m - 12. Let g be p(6). Suppose -3*z + g = 3*z. What is the least common multiple of 10 and z?
30
Suppose 4*m + 10 = -6, -5*m - 26 = -2*a. Suppose 2*j + 1 = -2*y - 3, -4 = -4*y. Calculate the smallest common multiple of (-42 - a)*2/j and 22.
330
Suppose 0 = -4*c - 19 + 67. Let h = 14 - 8. What is the lowest common multiple of h and c?
12
Suppose 5*c = -4*y + 11, -3*c - 3 = -2*y + 8. Let l