42949/24. Let p = -1585 + l. Calculate the common denominator of ((-1)/18)/(2/(-110)) and p.
36
Suppose 2*z = 5*j + 4, -3*j = 2*z - 6*z + 8. Suppose -w + 10 + 14 = z*v, -4*w - v + 89 = 0. What is the smallest common multiple of w and 4?
44
Let h = -34 - -66. Suppose h = -r + 5*r. What is the lowest common multiple of 10 and r?
40
Suppose -d - 2*g + 7*g - 326 = 0, 1199 = -4*d - g. Calculate the common denominator of (2/7)/(12/d) and -2 + (304/12 - 2).
6
Suppose 4*a + 4*n - 556 = 0, 0 = -4*a + n + 432 + 129. Let b = a + -52. Suppose 4*k - 8*k = -b. What is the least common multiple of 10 and k?
110
Suppose z - 3 = -2*z. Let v = z - -17. Suppose -3*h = b - 21, 0 = -b + h + 3 - 2. What is the smallest common multiple of b and v?
18
What is the smallest common multiple of 2 + 2 + (-60)/(-5) and 22?
176
Let x = -18 - -22. What is the lowest common multiple of 4 and x?
4
Let j = 6 + -4. Suppose -4*z - 10 = -j*n, 6*n - n = 3*z + 11. What is the lowest common multiple of 2 and 21*(-4)/(-6) + z?
12
Let q = 1016617/432620 - -2/21631. Calculate the common denominator of q and 57/10.
20
Let c = 57/2 + -24. What is the common denominator of c and 85/16?
16
Let a = -2 + 4. What is the lowest common multiple of a and 9?
18
Let c(g) = -9*g - 9. Calculate the lowest common multiple of 3 and c(-3).
18
Let a = 1 + 7. What is the common denominator of 545/(-60) - 2/a and (-36)/3*(-10)/9?
3
Let i = 23741/5680 - -11/1420. Find the common denominator of -71/14 and i.
112
Let t = 56419/12 - 4710. What is the common denominator of t and 73/14?
84
Let a = 7821049917623820715 - 586453607045371246152175/74984. Let z = 2078666391/7 + a. Let r = z + -1/1339. Find the common denominator of r and 1/7.
56
Suppose -5*i - 5*a = -635, -5*i + 2*a = 6*a - 636. Suppose d + 3*d = -i. Calculate the lowest common multiple of d/(-14) + (-2)/7 and 11.
22
What is the lowest common multiple of ((-3)/(-2))/((-3)/(-48)) and 12?
24
Let y(a) = -a**2 - 9*a - 5. Let m = -18 - -13. Let n = 15 + m. Calculate the lowest common multiple of y(-7) and n.
90
Let v be 146956/42 + 12/(-18). Suppose -2*l + 6 = 0, -s + 3*l + 7003 = -3*s. Let p = v + s. Calculate the common denominator of -25/3 and p.
21
Let z be 1 - 5 - 22/2. Let h = z + 23. Calculate the least common multiple of h and 22.
88
Let j = 96383/10 + -9649. Let f = 47717782624 + -1305176789993191/27352. Let s = 3/3419 + f. Find the common denominator of j and s.
40
Let r be 25/324 + 7/(-28). Let l = -653/81 - r. Calculate the common denominator of 125/6 and l.
18
Suppose 0*f - 2*f + 6 = 0. Calculate the smallest common multiple of f and 2.
6
Let k be 553/(-343) - (-1 - 1). Let a = k + -2899/147. Calculate the common denominator of a and 1/5.
15
Suppose -4*u + 8 = -0. Suppose -u*p + 4 = -4. Calculate the smallest common multiple of p and 4.
4
Let b = -1 + 8. Calculate the lowest common multiple of 23 and b.
161
Let c be ((-231)/(-44))/((-2)/(-24)). Suppose -2*j + j = 2*f - 14, -5*j = 3*f - c. Calculate the least common multiple of 14 and j.
84
Suppose -10*t + 6*t + 24 = 0. Calculate the smallest common multiple of 24 and t.
24
Suppose 0 = 4*r + 8 - 0. Let c be (4/(-10))/(r/(-20)). What is the common denominator of -52/5 and (-197)/(-30) + c/10?
30
Suppose 2 = j - 1. What is the smallest common multiple of 2 and j?
6
Let i = -1646 + 2914. Suppose -5*y + i = 308. What is the common denominator of 35/13 and ((-6)/27)/(2/y)?
39
Suppose 3*b = 7*b. Suppose b*w = -4*w. Calculate the common denominator of w + -2*(-87)/120 and 17/22.
220
Calculate the smallest common multiple of 2 and 1/(4/(-120)*-2).
30
Let w = -6 + 2. Let s = 6 + w. Calculate the smallest common multiple of s and 14/35 + (-66)/(-10).
14
What is the common denominator of -127/18 and (85/100)/((-6)/(-5))?
72
Let z = 17 + -129/8. Calculate the common denominator of 227/24 + 480/(-36) + 12 and z.
8
Suppose 0 = 3*r - 4*p - 3 + 2, 0 = r - 2*p - 1. Calculate the smallest common multiple of r/3*(-13 + 7) and 2.
2
Let j(k) = -7*k + 8. Let u be j(-5). Suppose -2*q + u = 5*w + q, -20 = 5*q. What is the lowest common multiple of 10 and w?
110
Suppose 2*l - 6 = -4*b, 0*l = -l + 3. What is the common denominator of -49/3 and -2 + ((-138)/8 - b)?
12
Let d(s) = 4*s**3 - s**2 + 2. Suppose 8 = -2*f + 6*f. Calculate the lowest common multiple of 22 and d(f).
330
Let m(k) = -k**3 - 3*k**2 - 4*k - 2. Let y be m(-2). Calculate the common denominator of -6 and 70*y/36 + -1.
9
Calculate the common denominator of ((3 - 6) + 5)*53/(-24) and -99/16.
48
Let x be (-2 - (-3)/(-3))/1. Let i = 12 + x. Calculate the smallest common multiple of i and 3.
9
Let x = 199/14066826 - 304723663373/73878970152. Let b = 1/2626 - x. Find the common denominator of ((-13)/10 - 1)/(-2) and b.
40
Suppose -2*r + 2*t - 6 = 0, 4*t - 8 = 7*r - 4*r. What is the common denominator of ((-4)/42)/(r/183) and (-10)/45 - 131/(-18)?
126
Suppose -14 = -m - 6*m. Calculate the lowest common multiple of 12 and m.
12
What is the common denominator of (327/24)/((-2)/(-4) - -1) and -7/16?
48
Suppose 3*u - 3 = 3*n, -4*n + u - 2*u + 16 = 0. Let w be (-15)/2*(1 - n). What is the least common multiple of 7 and (6/w)/(1/20)?
56
Let b(r) = -6*r - 4. Let v be b(-3). Let l = v + -7. What is the least common multiple of l and 6?
42
Let u = 25785/2 + -464057/36. What is the common denominator of 9/20 and u?
180
Suppose -17*a + 13*a + 64 = 0. Calculate the least common multiple of 52 and a.
208
Let x = 60 + -38. Let d = 16 - 4. Suppose -h + 3*h - d = 0. Calculate the smallest common multiple of h and x.
66
Let m(n) = 2*n**2 - 2*n - 6. Let j(u) = -3*u**2 + 2*u + 5. Let k(c) = -5*j(c) - 4*m(c). Calculate the smallest common multiple of k(-1) and 3*1/3*1.
8
Let w = -134936785732151/11238 - -12007188630. Let f = 2/1873 - w. Calculate the common denominator of f and 13/20.
60
Let b(v) = v**2 + 3*v + 2. Let y(f) = 4*f - 2. What is the smallest common multiple of b(-4) and y(1)?
6
Let b be 6/(-4)*8/(-6). Suppose b*v = 5*v - 4*n - 14, -4*v + 21 = -3*n. What is the smallest common multiple of 4 and v?
12
Let q(f) = -f**2 + 8*f + 19. What is the smallest common multiple of 5 and q(9)?
10
Suppose 0 = -2*z - b - b - 6, -z - 5*b + 5 = 0. Calculate the common denominator of 45/16 and (-926)/140 - 2/z.
112
Suppose -2*y + 5*i = -5*y + 18, 0 = -2*y + 2*i + 12. What is the lowest common multiple of 3 and y?
6
Suppose -6*h + 3*h - f = -53, -5*f = h - 41. Let a = 23 - h. What is the lowest common multiple of 19 and a?
133
Let d be (-3)/(-6)*-2 - 22. Find the common denominator of (-1)/(-4) + (-7 - d) and (77/4)/(2 - -3).
20
Suppose -3*n - 5 = 5*f - 3*f, 0 = n + f. Calculate the smallest common multiple of 9 - (n - -2)/1 and 16.
48
Let v = 0 + -3. Find the common denominator of (-100)/(-35) - (2 - 2) and (4/v)/((-18)/(-21)).
63
Let q = -33 - -47. Suppose 0 = 2*i + 3*c - 3 - 4, -4*i - 5*c + 11 = 0. What is the least common multiple of q and 1/i + (21 - 2)?
126
Let b(m) = -m**3 + m - 42. Let q be b(0). Let c be (393/9)/(4/(-6)). Let v = q - c. Find the common denominator of 9/2 and v.
2
Let h = 662 - 1419/2. Calculate the common denominator of -65/6 and h.
6
Suppose -g = -4*a - 18 + 123, 3*a - 72 = 3*g. Calculate the lowest common multiple of a and 27.
27
Let g(x) be the first derivative of -x**3/3 - 2*x**2 - 2*x - 2. Let i be g(-3). Calculate the least common multiple of 7 and -1 + i - 10*-1.
70
Let h = 1 + -1. Suppose -3*a + 8 + 4 = h. Suppose 5*q + 3*f - 6 - 4 = 0, 6 = 3*q + 2*f. What is the lowest common multiple of a and q?
4
Let m(u) be the first derivative of -u**2/2 - u + 2. What is the least common multiple of m(-3) and 10?
10
Suppose -4*v + 6*b - 865 = b, 2*b - 1060 = 5*v. What is the common denominator of (-738)/(-80) + 4/10 and 633/v + (-2)/7?
40
Suppose 5*c - 21 = 4. Suppose -l - 3 + 0 = -i, -c*i = 5*l - 35. Suppose 7 = i*m + 2. Calculate the smallest common multiple of m and 5.
5
Suppose 4*c + 5*o - 21 = 0, 5*c - 19 = c - 3*o. Let h = c - 4. What is the smallest common multiple of ((-1 + h)*7)/(-1) and 1?
7
What is the common denominator of (0 - 2) + (-158)/(-24) and 97/10?
60
Suppose 71 = -3*k + 4*f - 82, 2*k = -5*f - 79. What is the common denominator of -99/10 and k?
10
Let i = 2011 - 20127/10. Calculate the common denominator of i and (-44)/66 + (-2)/(-24).
60
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