 common denominator of -47/5 and ((-47)/(-4))/((-81)/36).
45
Let v = 1/320 + 4153/2240. Let i(b) = 1888*b**3 + 2*b - 1. Let d be i(1). Let n = d - 7621/4. Calculate the common denominator of v and n.
28
Suppose 0 = o - 6 + 4. Calculate the least common multiple of 2/9 - 70/(-9) and o.
8
Let v = -10331/474 + -3/79. Find the common denominator of v and (-2 - -2) + (-515)/(-50) + 2.
30
Let j(f) = -f**2 + 7*f - 1. Let y be j(6). Suppose -3*t = x + x - 19, y*t - 41 = -x. What is the least common multiple of 6 and t?
18
Suppose -4*k = -4*b + 28, -b - 2*k + 4*k = -4. Calculate the common denominator of 12/(-44)*b/(-4) and -115/12.
132
Suppose w = -0*w + 7. What is the smallest common multiple of w and 6?
42
Suppose 5*b = b - a + 2, 4*b - 5*a - 14 = 0. Suppose -4*n = -36 + 16. Calculate the lowest common multiple of b and n.
5
Let v = -117389/14 - -8380. Let y = 57431523/14 - 4100289. Let z = 1968 - y. Calculate the common denominator of v and z.
14
Suppose f - 45 + 38 = 0. Suppose 2*r - 6 = -3*j, 4*j + 0 = -2*r + 8. Suppose 0*a + 8 = -a - 5*x, r = -x - 3. What is the least common multiple of a and f?
7
Suppose -8 - 36 = -2*c. Let l = 1 - -1. What is the smallest common multiple of c and l*(1 - 3)*-1?
44
Let m(c) = c**2 - 2. What is the least common multiple of m(-4) and 18?
126
Let s be 8/(-20) - (-525091)/90. Let f = s + -5830. What is the common denominator of f and 77/4?
36
Let q(d) = -12*d**3. Let b = 3 + -4. What is the lowest common multiple of 12 and q(b)?
12
What is the common denominator of 32/(-240)*249/8 and -79/8?
40
Let n(h) = 6*h + 2. Calculate the lowest common multiple of 1 and n(1).
8
Suppose 0*p + p - 40 = 0. Suppose 13 - p = -3*i. Suppose 4*y + 0*y - 27 = -t, -3*t + i = 3*y. Calculate the lowest common multiple of 10 and y.
40
Let g(o) = o**2 + 2*o + 7. Let h be g(-6). Let l = -15 + h. What is the lowest common multiple of 22 and l?
176
Let f = 860/17 - 2627/102. What is the common denominator of f and 1 + -4 - 58/(-9)?
18
Let a be (-2)/5 - (-140)/(-25). Let p(c) = -9*c**2 - 3*c - 5. Let x be p(a). Find the common denominator of (-3)/(-9) + x/(-30) and -85/4.
20
Let q = -10/63 + 26/7. Let b = 342 - 222. What is the common denominator of (54/b)/(2/(-12)) and q?
90
Let s = 4291/8 - 535. Suppose 5*g + h = 4*h - 613, -g = -5*h + 105. Let o = -1237/10 - g. What is the common denominator of o and s?
40
Let d = -1409/6 - -253. Find the common denominator of d and (1 - 6)*(-6)/(-25).
30
Suppose 0 = -0*k + 5*k - 35. What is the smallest common multiple of k and 30?
210
Suppose q + 5*x - 30 = 0, -2*q - 5*x + 2*x = -32. Calculate the lowest common multiple of 2 and q.
10
What is the smallest common multiple of 4 and (-3)/6*(-9)/((-27)/(-186))?
124
Let q = -11 - -15. Suppose -q*b + 4 = -0*b - w, -b + 2*w = 6. What is the smallest common multiple of b and 90/3*(-6)/(-15)?
12
Let a(j) = -10*j - 8. Calculate the smallest common multiple of a(-2) and 9.
36
Let z = 2453/7 - 48367/140. Find the common denominator of 71/8 and z.
40
Let q be 6/(-18) - 19/(-3). Let i = q - 4. Calculate the common denominator of -23/8 and 92/(-16) - i*-1.
8
Suppose -2*t = -7*t + 10. Suppose -5*n - 3*i + t = 0, n + n + 3*i = -1. Suppose n = q - 3. What is the smallest common multiple of q and 22?
44
Suppose b = 4*b - 54. Let v = -51 + 71. What is the least common multiple of b and v?
180
Let o = 8449/4404 - 2/1101. What is the common denominator of o and (-1 - (-202)/8) + (-2)/(-4)?
12
Let k(n) = n**3 + 5*n**2 - 8*n + 2. Calculate the smallest common multiple of 12 and k(-6).
84
Suppose 2*x - x + 1 = 0. Let q be 2 - (x + 2/1). What is the smallest common multiple of 11 and (q - -1) + -1 + 2?
33
Let x(v) = v**2 - 2*v**2 + 0*v**2 - 17*v**3. Suppose 0 = -3*b - 3*f + 51, -15 = -4*b - f + 62. What is the least common multiple of b and x(-1)?
80
Let w = -184957/15576 + -1/1947. Find the common denominator of w and 27/4.
8
Let b = -301/5 + 397/10. Let s = b - -47. Find the common denominator of s and -6/7.
14
Suppose 3*a = 26 + 7. What is the smallest common multiple of a and 6?
66
Let n be ((-4)/(-6))/((-4)/(-18)). What is the least common multiple of n/(-9) - (-110)/6 and 14?
126
Let d be (-1*(-6)/(-3))/(-1). Suppose -d*u + 0*r = 2*r + 8, 2*r = 5*u + 20. Calculate the common denominator of 263/(-30) - u/(-10) and -13/18.
18
Calculate the common denominator of (1/6)/(3/51) and 29/30.
30
Let s be 4/14 + (-10)/35. Suppose -f = -7*n + 4*n - 16, -2*f + 8 = s. What is the common denominator of 10/n*-17 - 2 and 7/5?
10
Let r be (-111)/2*(-12)/9. Find the common denominator of 0 - (0 - 9/8) and (3/15)/(4/r).
40
Let m = 31375/14 + -2238. Let t = 33979/8 - 4253. What is the common denominator of t and m?
56
Suppose -6*z + z - 8 = -2*f, -4*f = 4*z - 44. What is the smallest common multiple of 7 and f?
63
Let j be (-3)/(-4)*(-38940316)/4400. Let x = -11033/400 + j. Let f = x + 6668. What is the common denominator of f and -55/14?
154
Let q(h) = -2*h**3 - 22*h**2 + 24. What is the least common multiple of q(-11) and 16?
48
Let s = 68 - 38. What is the least common multiple of s and 18?
90
Let u = 4 + 40. What is the least common multiple of 28 and u?
308
Let g = -12 + 14. Let a = 12 - g. What is the smallest common multiple of a and 1?
10
Suppose -671577 - 190358 = 5*u + 4*a, -4*u - 689548 = 4*a. Let k be (-4)/(-6) - u/(-330). Let f = 2632/5 + k. Calculate the common denominator of f and 127/12.
132
Let x(f) = -f + 5. Let o be x(0). Suppose -13 = 2*a + k, -38 = o*k - 13. Calculate the common denominator of 67/16 and 163/(-42) + a/(-6).
112
What is the least common multiple of 10 and (-4)/((-4)/(-3)) - (-3 - 2)?
10
Let l(o) = -o**3 - 2*o**2 + o + 1. Suppose 4*a = -0*a - 12. Suppose h - 5 = -1. Calculate the lowest common multiple of h and l(a).
28
Let v = 85 - 78. What is the least common multiple of 9 and v?
63
Let j(f) = 26*f**2 + f - 1. Let n be j(1). Find the common denominator of 65/8 and (n/4)/(3/(-15)).
8
Let i = 58 - 48. What is the least common multiple of i and 2?
10
Calculate the common denominator of -117/28 and 3/4*10/33.
308
Let u(h) = h**2 - 2. Let x = -9 + 17. Calculate the smallest common multiple of x and u(-3).
56
Suppose -4*r = -133 - 131. What is the common denominator of 107/10 and (18/(-3))/(56/r)?
70
Let y(a) be the third derivative of -a**5/60 - a**4/4 - a**3/3 + 2*a**2. Let d be y(-4). Find the common denominator of 181/d - 3/(-9) and -89/10.
10
Suppose 0 = -3*i - 2*y + 66, i - 4*i + 84 = -4*y. Let h = -6/1775 - 14543/3550. What is the common denominator of i and h?
10
Let f(l) = -2*l - 22. Suppose 0 = -3*p - 60 + 15. What is the smallest common multiple of 1 and f(p)?
8
Let p = 25/13 + 43/52. Calculate the common denominator of 133/6 and p.
12
Let x = -18/73 + 2043/292. Find the common denominator of x and -31/11.
44
Let c be -1 - 1 - (-86534)/9360. Let f = c + 17/520. What is the common denominator of (-15)/(-4) - (-5)/(-15) and f?
36
Suppose 0 = -s + 3*p - 6, 12 + 2 = -3*s + 5*p. What is the common denominator of 2 - 1 - 98/(-12) and (3/(-72))/(s/220)?
18
Let t(f) be the first derivative of 2 - 1/2*f**2 + f**3 + 2*f. What is the least common multiple of t(-2) and 16?
16
Let d = 231 + -206. Calculate the lowest common multiple of 2 and d.
50
Let f = -324428523/20 + 16228996. Let g = f + -7572. Calculate the common denominator of -49/22 and g.
220
Suppose 0 = -g + 83 + 12. Find the common denominator of (g/20)/(3/(-4)) and -44/5.
15
Suppose 0 = 2*u + 3*y - 19, -2*u + 2*y + 2*y + 12 = 0. Calculate the smallest common multiple of u and 6.
24
Suppose -2*k + 3*k = 14. Calculate the lowest common multiple of 22 and k.
154
Let x(p) = p**2 + 7*p - 1. Let f be -5 + -2 + (-1 - 0). What is the lowest common multiple of 6 and x(f)?
42
Let d(b) = b**3 - 6*b**2 - 4*b - 8. Calculate the lowest common multiple of d(7) and 1.
13
Let d(v) = v - 1. Let p(o) = -3*o - 5. Let j(b) = -2*d(b) - p(b). Calculate the lowest common multiple of 1 and j(0).
7
Suppose -d - 3*o - 15 = -3*d, -3*d + 2*o + 15 = 0. Calculate the common denominator of -21/16 and (-250)/12 + (-3)/d.
48
Suppose -1865 - 1737 = -y. Let w = 23324489489/6473720 - 3/1294744. Let c = y - w. Find the common denominator of c and 61/4.
20
Let b = -8644 - -120945/14. Calculate the common denominator of b and 113/18.
126
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