y**3 + 7*y**2 - 9*y + 8. Let c be m(-8). Let h be c/(-24)*174/(-4). Let g = h - 21. What is the least common multiple of 4 and g?
8
Let z(r) = -2*r**3 - 9*r**2 + 5*r - 6. Let t(g) = -g**3 - 9*g**2 + 6*g - 5. Let m(i) = -3*t(i) + 2*z(i). Calculate the least common multiple of 11 and m(8).
33
Let p(u) = u**3 + 29*u**2 - 33*u - 60. What is the least common multiple of 55 and p(-30)?
330
Suppose -q + 162 = 8*q. Let n(v) = -3*v - 3. What is the smallest common multiple of q and n(-3)?
18
Let f(s) = -s**2 - 12*s - 15. Let m be f(-12). What is the common denominator of 67/9 and -1*(-4)/m*(-285)/(-42)?
63
Suppose -2*r = 4*q + 8, 5*r - r - 5*q = 23. What is the lowest common multiple of r and 201?
402
What is the common denominator of 50/30 - (-1 + 2) and -8/15?
15
Let r(l) = -l**3 + l**2 - 2*l. Suppose 5*q = -9 - 1. Calculate the smallest common multiple of 22 and r(q).
176
Let j = -1883/2070 - -2/207. Find the common denominator of 59/144 and j.
720
Suppose -3*a = -a - 38. Suppose -a = -3*j + o, 4*j - 17 = -4*o + 35. Calculate the lowest common multiple of j and 24.
24
Find the common denominator of ((-135200)/29820)/(-13) + (-6)/14 and 31/18.
1278
Let q = -12861 - -270013/21. Find the common denominator of q and 41/8.
168
Let j(r) = -r**3 + 15*r**2 - 20*r - 22. What is the lowest common multiple of 8 and j(7)?
920
Suppose 0 = -2*c - 5*s + s + 34, c = s + 14. Let d = 1144 + -1138. What is the least common multiple of d and c?
30
Let u = 43285 - 1731441/40. Calculate the common denominator of (-178)/90 - -1 - -1 and u.
360
Suppose 2*c + 8 = 4*c. What is the common denominator of -19 and (-216)/(-28) + -3 - c?
7
Let y(q) = -15*q. Suppose 14 = -4*s - 2*z, -23 = -3*s + s + 5*z. Let f be y(s). Suppose f + 1 = 2*p. What is the smallest common multiple of p and 10?
40
Let s = -8 + 8. Suppose s = b - 4*g - 16, g = -4*b - 0*g + 47. What is the least common multiple of b and 16?
48
Suppose -3 = 3*l - 2*l. Let u = 66343/18 + -3687. Find the common denominator of u and ((-891)/(-30))/l - -2.
90
Suppose -4*d + 22 + 18 = -2*i, -2*d = i - 28. Suppose 19*n - 17*n = d. What is the smallest common multiple of n and (-144)/(-10) - 4/10?
42
Let r = 239 - 232. Calculate the smallest common multiple of -4*1/(1 - 2) and r.
28
Let d be ((-18)/15)/((-12)/40). Find the common denominator of 41/18 and (-4 - (-19)/d)/((-18)/71).
72
Let i = 55 - 28. Calculate the lowest common multiple of ((-140)/80)/(1/(-4)) and i.
189
Let g = 13 + -10. Suppose -2*s + g*s = 0. Suppose s = w + 5*p + 23, -3*p - 12 - 3 = 0. Calculate the lowest common multiple of 9 and w.
18
Let p(b) be the third derivative of -b**4/24 + 2*b**3 + 13*b**2. What is the lowest common multiple of 3 and p(6)?
6
Let r = -1562 - -1574. What is the least common multiple of 10 and r?
60
Let y(h) = -2*h. What is the smallest common multiple of y(-3) and (162/12 + (-3 - 1))*4?
114
Suppose 47*l + 720 = 62*l. Calculate the lowest common multiple of 24 and l.
48
Let a = -337 + 391. Calculate the least common multiple of 12 and a.
108
Let v(t) = -5*t - 2. Let b be v(-1). Suppose 31 - b = -2*q. Let u = 17 + q. Calculate the smallest common multiple of u and 2.
6
Let g be 579738/(-1540) - (-2 - (-100)/55). Let x = -2594/7 - g. Let a = 5707/9 - 633. Find the common denominator of x and a.
90
Let v(h) = -510*h - 12256. What is the common denominator of v(-24) and (1/78)/((-1)/62)?
39
Let y be (80/15 - 6)*6/(-1). Calculate the common denominator of 86/15 and ((-297)/75 + y)/(18/915).
30
Let l be -3 - -10*2/4. Suppose l*s + 0*s = -3*o + 8708, o - 2903 = -s. Let f = 63869/22 - o. Calculate the common denominator of -61/8 and f.
88
Let s = -159 + 167. What is the smallest common multiple of 15 and s?
120
Suppose 0 = -4*n + 2*n + 32. Suppose 0 = 7945*m - 7944*m - 4. What is the lowest common multiple of m and n?
16
Suppose 3*u = -3, -4*f + f + 3*u + 3 = 0. Suppose -5*y - 20 = -5*i, 0*i + i - 4*y + 8 = f. Calculate the lowest common multiple of 23 and i.
184
Suppose -5 = 8*i - 13*i. Calculate the smallest common multiple of (0/3 - 0) + 14*i and 4.
28
Let u = -5026 + 25369/5. Let s = 44 - u. What is the common denominator of -49/5 and s?
5
Suppose -34 + 160 = 21*h. What is the lowest common multiple of h and 172?
516
Find the common denominator of 880/132*(3 + -2)/(-6) and 16/19.
171
Let v = -1453 + 10205/7. Find the common denominator of 25/29 and v.
203
Suppose 19 = 5*o - o - 5*j, 0 = 2*j + 6. Suppose 18*w - 13*w = -i + 22, -5*w + 5*i = -10. What is the smallest common multiple of w and o?
4
Suppose 2*j - 4*j + 8 = 0. Let u(x) = x**2 + 7*x + 12. Let a be u(-6). Suppose 0 = a*l - 11*l + 100. What is the least common multiple of j and l?
20
Let m(d) = -7*d - 77. Calculate the lowest common multiple of 20 and m(-19).
280
Let b be (1 + 26 - 0) + (2 - 3). Suppose b - 96 = -7*u. What is the smallest common multiple of -2 + (-22)/(-4)*4 and u?
20
Suppose 6*j + 140 = 13*j. Suppose -j*f - 20 = -22*f. Suppose -4*s = w - 33, 2*s - w + 2 = 17. What is the lowest common multiple of f and s?
40
Let b = -261 - -285. What is the least common multiple of 21 and b?
168
Let h = 7 + -4. Calculate the lowest common multiple of 12 and -18*(h/(-1) + 10/4).
36
Let z be ((10/(-44))/5)/(4/(-48)). Let j = -62773/78804 + 2/1791. Let d = j + z. Find the common denominator of -53/10 and d.
20
Let w = 176595/14 + -12620. Find the common denominator of w and 77/480.
3360
Calculate the common denominator of 474/180 - 10/2 and -71/33.
330
Suppose -10 - 10 = -4*l. Suppose -5*f + 3 = -l*g + 38, 0 = 4*f - 16. Let y = -5 + g. Calculate the lowest common multiple of 8 and y.
24
Let t = 4503 - 121652/27. Calculate the common denominator of -53/3 and t.
27
Let l(w) = -2*w + 12. Let d be l(0). Find the common denominator of 1 + (-627)/(-15)*(-2)/d and -53/15.
30
Suppose -7*p + 672 = 25*p. What is the least common multiple of p and 77?
231
Suppose -20*k = -23*k + 12. Calculate the smallest common multiple of k and 20.
20
Suppose 2*o = -17 + 5. Let h = 11 + o. Suppose 0 = -h*v + 74 + 16. What is the least common multiple of v and 3?
18
Suppose -5*p - x - 9 - 22 = 0, 3*x + 27 = -4*p. Calculate the common denominator of (2 - p/(-4))/(240/992) and 35/3.
15
Let j = 1767/7 + -38573/154. Suppose 5*o - 5*i - 25330 = 0, 0*o + 2*i + 5063 = o. Let a = o - 192609/38. Calculate the common denominator of a and j.
418
Suppose -4*f - 95 = 5*r, 3*f - 5*f - 70 = -2*r. Let p be 2 - f - (1 - 2). Let q = -19 + p. Calculate the lowest common multiple of q and 10.
70
What is the least common multiple of (12/(-18)*3)/(1/(-4)) and 10/(-45) - (-364)/18?
40
Let v = -494833607/63 + 7854719. Let n = 2020/9 - v. Let i = -4772 - -28495/6. What is the common denominator of n and i?
42
Let f be (-8)/20 + (-88)/(-20). Let w be -10*f/12*6. Let c = w + 25. Calculate the lowest common multiple of 2 and c.
10
Let q = -11902 + 166731/14. Calculate the common denominator of q and -97/56.
56
Let z = 10 - 1. Suppose 4*m = -c - 8 - z, c - 13 = 2*m. Calculate the smallest common multiple of 0 + (c - 6) + 10 and 8.
56
Suppose -3*j + 4*q - q = 12, -8 = -4*q. Find the common denominator of 47/3 and 555/(-135)*(1 + j)*-1.
9
Let h = 25 + -23. Let y(o) = -6 - 7*o + 8*o**h + 2*o + 2 - o**3. What is the least common multiple of y(7) and 22?
110
Let k = 2893/42 + -600/7. Let y = 1035 - 3076/3. Calculate the common denominator of y and k.
6
Find the common denominator of ((-475)/80 - -2) + (-1)/2 and -53/264.
528
Let y be 42/98 - 228/(-7). Let g = y - 29. Suppose -23 - 27 = -5*w. What is the smallest common multiple of g and w?
20
Let v be 12/(-8) + 3826/84. Let g = v - 311/6. Calculate the common denominator of (-1305)/(-770) - (-2)/(-7) and g.
154
Let r be (1 - (-35775)/6)*26/16. Let w = r - 9685. Find the common denominator of w and 73/4.
16
Calculate the common denominator of 4/345 and (-656)/40 - (-8 - -1).
345
Calculate the common denominator of ((-4)/(-50))/(-1 - (-836)/820) and -107/30.
30
Let p be (2/4*-3)/(12/6928). Let u = 2537/3 + p. Find the common denominator of u and 2/(-9) - 22/(-9).
9
Suppose 3*f - 5*x = 341, 44 = 2*f + 3*x - 158. Suppose 621 = 4*c - f. What is the least common multiple of c and 14?
182
Let o(y) = 8*y - 3. Let i be o(1). Suppose a = 14 - i. What is the lowest common multiple of a and 11?
99
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