 -16 = -4*v, v = 4*n + n - 436. Suppose 5*q - 32 = x, 2*x + q + q = -n. What is the common denominator of -20/11 and (-12)/(-42) - (-656)/x?
33
Let t = 5137/4296 - -9/716. Find the common denominator of 99/28 and t.
168
Let u be 1/(-3 - (-35)/10). Suppose u = -j + 16. Calculate the smallest common multiple of 16 and j.
112
Let x(a) = -2*a**3 + 34*a**2 - 29*a - 33. What is the smallest common multiple of 15 and x(16)?
15
Let f = -493749/28 - -17637. Suppose -3*w - 507 = 2*k - 5*k, 2*k = -w - 184. Calculate the common denominator of -1 + w/(-84) + 5 and f.
28
Let d(m) = -m**2 - 6*m + 11. Let c = 8 + -14. What is the smallest common multiple of d(c) and 11?
11
Let q = 40 - 37. Suppose q*x - 2*u + 5*u = 12, 0 = -5*u - 5. Suppose -17 = -k + 3*a, 0*k + x*a + 43 = 3*k. What is the least common multiple of k and 10?
110
Suppose 2*h + 2*t = 58, 23*h - 2*t - 140 = 19*h. Calculate the least common multiple of 306 and h.
3366
Suppose 8*t + 16 = -80. Calculate the least common multiple of 6 and (9/3)/(-3)*t.
12
Let f(a) be the second derivative of a**3/6 - 5*a**2 - 3*a. Let v(y) = -y + 9. Let w(h) = -4*f(h) - 5*v(h). Calculate the least common multiple of w(9) and 8.
8
Let q = -9989/5870 - -1/587. What is the common denominator of 73/18 and q?
90
Let l = -4219/632 - -4/79. Find the common denominator of (-1)/5 + -2 + 9 and l.
40
Let n(o) = o**2 + 11*o + 20. Let z be n(-9). Suppose -i + 171 = 3*p + z*i, -p + i = -51. What is the smallest common multiple of 8 and p?
216
Suppose -5*y - 8 = -13. Let r be -5 + y - -47 - 1. Let i = r - 34. Calculate the smallest common multiple of i and 10.
40
Let f(k) = -26*k + 18. Let i be f(5). What is the least common multiple of 126/49*(i/3)/(-4) and 16?
48
Let k = -347/4 - -102. Find the common denominator of k and 10/11.
44
Let h(p) = -5*p + 81. What is the smallest common multiple of h(15) and 76?
228
Let q = -5 + 4. What is the common denominator of 35/9 and 2/(21 - q/(-1))?
90
Suppose 10 - 8 = 3*q - d, d = 5*q - 2. Let m = 2 - -3. Suppose 3*z - 9 = -2*i - 0*z, q = -i - z + m. Calculate the least common multiple of i and 2.
6
Suppose 0 = -25*s + 31*s - 204. What is the smallest common multiple of 17 and s?
34
Calculate the common denominator of (-1)/(-8)*(-60)/25 and 57/80.
80
Find the common denominator of -3*(-102)/360 - 6 and -127/230.
460
Let z be 39047/(-5) + 15/(-25). Let y = -171769/22 - z. Find the common denominator of -101/12 and y.
132
Suppose t + 1 = 3. Suppose -p = 5*y - 53, t*y - p - 8 = 9. What is the least common multiple of 22 and y?
110
Let j be 1/2*1168/204. Let g = j + 2713/816. Let z = 3/3788 - 20126/2841. What is the common denominator of z and g?
48
Suppose -7*u + 984 = -9*u. Let l = 0 + -16. What is the common denominator of (u/l)/(20/(-8)) and 23/3?
30
Let l(t) = t**2 - 26*t + 66. What is the smallest common multiple of l(24) and 18?
18
What is the least common multiple of 2 and ((-16)/20)/(48/(-66840))?
1114
Suppose -3 + 4 = c. What is the least common multiple of c - 3 - (0 + -1 + -5) and 16?
16
Let u(r) = -5*r - 5. Let g be u(-1). Suppose b + 61 - 88 = g. What is the lowest common multiple of 54 and b?
54
Let c be (-4)/16 + (-5)/(-4). What is the smallest common multiple of 24 and (c + 15/(-9))*-33?
264
Let g(x) = x**3 - 8*x**2 + 10*x - 16. Let m be g(7). Let f = m + -14. Let w = f - -27. What is the least common multiple of w and 12?
36
Let p be (-3)/(-15) + 7557/15. What is the common denominator of (18/p)/((-2)/(-76)) and 47/4?
28
Let f = -246/35 + 19093/3080. Calculate the common denominator of -51/40 and f.
440
Suppose -n + 28 = -4*c, -5*n + 14*c - 10*c = -172. What is the lowest common multiple of n and 108?
108
Find the common denominator of 156/(-104)*(-2)/(-840)*-142 and -61/133.
2660
Let u be (1 - -13 - 4)/2. Calculate the lowest common multiple of 8 and (-4 + u)*4 - -2.
24
Let u be 0 + (-1)/3 + 28284753/(-1638). Let b = u + 17265. Find the common denominator of b and (10*(-6)/(-8))/(-12).
104
Let t(a) = -19*a**3 - a**2 - a - 1. Calculate the lowest common multiple of 11 - (-6 + 10 + 3) and t(-1).
36
Calculate the lowest common multiple of 44 and ((-4 - -3) + 24/6)*2.
132
Let q(v) = 11*v + 2. Let u(w) = 21*w + 3. Let n(o) = -7*q(o) + 4*u(o). Let g be n(-2). What is the common denominator of 922/220 + g/(-40) and -93/4?
44
Let f = 8797/6 - 1471. Calculate the common denominator of -103/18 and f.
18
Let d = -4358848373/2461963 - -306688/173. Let w = 1/2033 - d. What is the common denominator of 3/(-2) + (-490)/80 and w?
56
Let s = 2598 - 626. What is the common denominator of (-402)/s + 4/34 and -73/2?
58
Find the common denominator of -55/69 and 58/(-145) - 503/(-120).
552
Suppose 35 = 2*f - h, -4*f - 3*h + 67 = -28. Let i(n) = 2*n**2 + 10*n. What is the smallest common multiple of i(-7) and f?
140
Let a(b) = 0*b - 2*b + 7*b - 19 + 56. What is the smallest common multiple of 16 and a(-7)?
16
Let m(u) = -2*u - 4. Let x be m(-6). Suppose 7*p + x = 11*p. Suppose -p*i + 23 = 5. What is the smallest common multiple of i and 2?
18
Let j(d) = 114*d. Let y be j(-1). Calculate the common denominator of (-197)/22 + (-6 - -11) and (y/(-56))/(-1 - -2).
308
What is the smallest common multiple of 6 and 8 + (0 + -3)*2?
6
Let n(a) = 85*a**2 + 2*a + 1. Let w be n(-1). Calculate the common denominator of 2/(-3) + 722/w and 23/22.
154
Suppose -111 - 49 = -8*q. What is the smallest common multiple of 22 and q?
220
Suppose -4*h + 0*k + 176 = -k, 4*k + 74 = 2*h. What is the lowest common multiple of h and 10?
90
Let o(g) = g**3 + 16*g**2 - g - 13. Let n be o(-16). Suppose 3*q - 3*p - 21 = 0, 0*q + n*p = 4*q - 31. What is the lowest common multiple of q and 4?
20
Let y be 84/8*(-2)/(-3). Suppose 5*n = 5*w, -w - y = -3*w - 5*n. Find the common denominator of (351/(-12))/(-3) - w and -79/4.
4
Let w(z) = -3*z**2 + 20*z + 34. Let s be w(13). Let y = -187 - s. Calculate the common denominator of (3/(-16))/((-1)/42) and y.
8
Find the common denominator of -77/18 and (-2)/(32/(-6)) - (-33291)/(-8424).
234
Calculate the common denominator of (-364)/(-48)*(-4)/6 and -2 + (-81)/(-2) - 2.
18
Let s be -2 + -6 + -1 + 4. Let d be s/3*3 + -3. What is the common denominator of 25/7 and 2/(-4)*d/(-10)?
35
Let a = -26125165/9 - -2898824. Let t = a + 3977. What is the common denominator of t and 162/20*(1 + -2)?
90
Let k = -432 - -706. Calculate the smallest common multiple of k and 18.
2466
Let h be 4/14 + (-138)/(-7). What is the common denominator of ((-130)/8)/(-5*(-62)/h) and 1/8?
248
Let z = -48439/12 + 4026. Let h(o) = o**2 - 8*o - 4. Let a be h(8). Find the common denominator of z and a - (1876/40)/7.
60
Suppose 4*r - 202 = -42. Let c be 25426/r + 3/5. Let p = 650 - c. Find the common denominator of 31/14 and p.
28
Suppose 46 + 2 = s. What is the common denominator of s/7 - 1 - 1 and 113/10?
70
Let c be 69 - (-2)/1 - 1. Find the common denominator of (-12)/78 + (-1050)/(-572) and 4/14 - (-3445)/c.
22
Let s(a) = 17*a - 82. Let c be s(-24). Let y = -7789/72 - -878/9. What is the common denominator of (-1)/(-4) - c/28 and y?
8
Calculate the common denominator of 73/8 and (-2)/(-10) - (-1)/(15680/(-2076)).
784
Let m = 453 + -411. What is the lowest common multiple of m and 98?
294
Let x(m) = -m**3 - m**2 - m + 14. Let n = 11 + -11. What is the lowest common multiple of x(n) and 20?
140
Suppose 2*c - 10 = -2*w - 0*w, -c - 2*w = -3. Suppose -c*x = -5*x. What is the lowest common multiple of 3/6*(x + 44) and 4?
44
Suppose 80 = -4*h - 0. Let s = h - -31. Calculate the least common multiple of 8 and s.
88
Let d(j) = j**3 - 6*j**2 - j + 5. Let c be d(6). Let y(p) = -33*p + 3. What is the least common multiple of y(c) and 21?
252
Let c = 46 - -5. Calculate the smallest common multiple of c and 8.
408
Suppose -2*j - 5 = -p, -2*p - 3*j = -p + 5. Suppose 0 = 5*g + 3*t - 42, 5*g + 0*t + 5*t - 50 = 0. What is the lowest common multiple of 2 + p - (5 + -7) and g?
30
Suppose 0*j - 14116 = -4*l + 2*j, 5*l - 5*j = 17650. Let k = l + -42265/12. What is the common denominator of k and 47/8?
24
Let k = 370423/18356 - 1047/52. Let f = k + -25897/2824. Calculate the common denominator of f and -81/22.
88
Let q = -426 - -813/2. Suppose 0 = -5*n + 4*l + 12, -4*n + 3*l + 0 = -10. Find the common denominator of q and ((-43)/n)/(14/8).
14
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