?
16
Let a = -1559/3 + 45307/87. Calculate the common denominator of a and 156/8 - (2 + -3).
58
Let p = -3 - -10. What is the common denominator of -3/5 and p?
5
Let l(q) be the second derivative of -q**3/6 - 2*q**2 - q. Let y be l(-6). Calculate the common denominator of 79/14 and 665/30*(-1)/y.
84
Suppose g - 3*z = -30, -5*g + 3*g + z = 60. What is the common denominator of -45 and 47/15 + (-6)/g?
3
What is the common denominator of 111/22 and (-285)/(-42) + 8/14?
154
Let y = -12449 + 199105/16. What is the common denominator of 2/((-16)/134) - -2 and y?
16
Let o = -31/575 - -46379/838925. Let z = o + -29194/10213. Calculate the common denominator of z and -29/17.
119
Let f = 55795 + -3403885/61. Let t be (43242/(-915))/((-32)/10). Let g = t + f. Calculate the common denominator of 79/10 and g.
40
Suppose 30 = 3*n + 6. Let z = 1 - -2. Suppose 2*l - 5 = -z*l. Calculate the lowest common multiple of n and l.
8
Let w be (274/(-36))/((-4)/348). Let a = -659 + w. What is the common denominator of 11/20 and a?
60
Let g be 89253/24 - (2 - 5). Let t = -3712 + g. Find the common denominator of t and 149/6.
24
Let i = 31/14 - 243/7. Find the common denominator of -97/6 and i.
6
Let m be (-15)/25 - (-2564)/(-10). What is the common denominator of m/(-12) + 4/(-16) and (-38)/30 + (-6)/(-36)?
30
Let p = -2534 - -10083/4. Suppose 2*c = -2*c - 4*r + 36, 5*r - 33 = -2*c. Find the common denominator of p and c.
4
Let q = -590 - -1531. Let v = q + -1710. Let i = -1597/2 - v. Find the common denominator of i and 6.
2
Find the common denominator of (18/(-8))/(-9) + -22 and 61/14.
28
Let c(l) be the third derivative of l**4/12 - 7*l**3/3 + 3*l**2. Calculate the lowest common multiple of c(12) and 5.
10
Let p = 58994 + -31915766/541. Let m = p + -46971/4328. Find the common denominator of m and -95/4.
8
Suppose 4*m - 16 - 8 = 0. What is the smallest common multiple of 14 and m?
42
Let i = 73784876/2001 - 36874. Let u = 231638015409121/20010 - 11576112717. Let d = i + u. Find the common denominator of -59/20 and d.
20
Let t = 24 + -8. What is the smallest common multiple of t and 12?
48
Suppose -8*b = -7 - 1. What is the smallest common multiple of b and 4?
4
Let n(y) = -14 + y**3 + 5*y - 9*y**2 + 2*y - 15*y. Let d be (-1)/(((-1)/(-10))/(-1)). Calculate the lowest common multiple of 2 and n(d).
6
Let j(q) = -q + 2. Suppose 0 = -k - 0*k - 2. Let t be j(k). Suppose -t*a + 64 = 3*p - p, a + 6 = 5*p. What is the least common multiple of 18 and a?
126
Let l = -4868 - -136405/28. What is the common denominator of l and 7/52?
364
Let d(z) = 16*z**2 - z + 1. Let o be d(1). What is the least common multiple of 6 and o/((8/(-2))/(-2))?
24
Let p(w) = 3*w**2 + 12*w - 5*w - w**3 - 7 - w + 2. Calculate the smallest common multiple of p(4) and 10.
30
Let n = 465 - 1847/4. Calculate the common denominator of n and 91/34.
68
Let d = 3/487 - -35524/4383. Calculate the common denominator of (-4155)/(-360) + (1/(-6) - 0) and d.
72
Suppose 0*w - 5*w + 10 = 0. Suppose -26 = -4*c - w. Suppose 113 = 7*g + 15. What is the least common multiple of c and g?
42
Let f be (-110)/9 - (-8)/36. Suppose 5*w = -7*g + 2*g + 50, 4*g = -2*w + 36. What is the lowest common multiple of g and (-2 - f) + -3 + 7?
56
Suppose 3*g - 10288507 = 2639894. Let h = g + -68987511/16. Let n = -2251 - h. What is the common denominator of n and 69/4?
16
Let n = 3773751/14 + -269687. Let t = 133 + n. What is the common denominator of -63/8 and t?
56
Suppose 0 = 5*g - 2*c - 203, 3*g = -0*g + 5*c + 137. Suppose 0 = -h - a + 26, -172 = -5*h - 2*a - 54. Calculate the lowest common multiple of g/65*5*2 and h.
66
Let z(w) be the first derivative of w**2/2 + 6*w + 5. Calculate the lowest common multiple of 11 and z(0).
66
Let t(v) = -v**2 - 6*v + 10. Let n be t(-8). Let l = 12 + n. What is the least common multiple of 3 and l?
6
Let l be 4822/(1 - 8394/(-38)). Let k = l + 10/527. Find the common denominator of k and 53/2.
4
Suppose 2*o = -3*o + 690. What is the least common multiple of 20 and o?
1380
Suppose w + w = 14. Suppose 0 = w*o - 5*o - 40. Calculate the lowest common multiple of 12 and o.
60
Let p = 41 - 29. What is the lowest common multiple of p and 18?
36
Let m be ((-6)/10)/(4/20). Let g = 6 + m. Suppose -4*i + 18 = -6. Calculate the smallest common multiple of i and g.
6
Let p = -2243/198 - -95/9. Let n = 15/458 - 6151/2519. Calculate the common denominator of p and n.
22
Let q = 18 + -11. Let j = q - 4. Suppose -108*a = -110*a + 2. What is the smallest common multiple of j and a?
3
Calculate the common denominator of 18/(-27) - 137/(-30) and -23/22.
110
Suppose c = -2*g + 17, g - 2*c - 22 = -2*g. Suppose 5*u + 0*u - 60 = 0. Calculate the lowest common multiple of -3 + u - (1 - -2) and g.
24
Let h = -5168709363171/5614 - -920682112. Let a = -26/401 + h. Calculate the common denominator of a and 53/8.
56
Let t = 1609 + -9595/6. Suppose 6 = -2*p - 2*r - 0*r, 4*r - 2 = 3*p. Calculate the common denominator of (2 - 2) + (-33)/p and t.
6
Let f(k) = k**2 + 4*k + 3. Let v be f(-2). Let x = 56 + -54. What is the smallest common multiple of x and 0 + v + 11 - 2?
8
Let r(l) = -l + 5. What is the smallest common multiple of 7 and r(-4)?
63
Let j = -6/463 - 27233/6482. What is the common denominator of -133/6 and j?
42
Suppose 3*d - 4*r = 15, -3*d + 2*r = 2 - 17. Suppose -n + d*n = 0. Suppose n*m + 70 = 5*m. What is the smallest common multiple of 12 and m?
84
Let t(a) = 11*a**3 - 50*a**2 + 47*a - 41. Let n(l) = 4*l**3 - 17*l**2 + 16*l - 14. Let x(q) = 8*n(q) - 3*t(q). What is the least common multiple of 2 and x(13)?
22
What is the common denominator of (-897)/(-330) - (-10)/(-25) and 32/5?
110
Let v be 1 + -1 + (-3 - -138). Suppose -v = 4*k + 113. What is the common denominator of (2 - 51/24)*k and -11/8?
8
Let r = -8848 - -194727/22. What is the common denominator of -111/22 and r?
22
Let s = -72 - -108. Calculate the lowest common multiple of s and 2.
36
Let r = 8 + -6. Suppose -r*p = 3*w - 25, -w + 5*p + 16 = -15. Calculate the least common multiple of 8 and w.
88
Suppose v = 4*q - 3*v - 52, 4*v + 12 = 0. Let a = 15 - 6. What is the lowest common multiple of q and a?
90
Let o(n) = 3*n - 4. Calculate the lowest common multiple of o(6) and 22.
154
Let z = 19 + -14. Calculate the lowest common multiple of -1 - (2 + -2*2) and z.
5
Let k(x) = x**2 - x + 3. Let v be k(3). Calculate the lowest common multiple of 18 and v + (-2 - (-2 - -3)).
18
Suppose -3*r + 11 - 114 = -5*a, 2*r = 5*a - 102. Suppose o + 2*b = -6, -4*b = o - 3*o + a. Calculate the smallest common multiple of 14 and o.
14
Let t = -14 + 32. Let o = 44 + -101. What is the smallest common multiple of o/(-3) + (1 - 0) and t?
180
Let x = 2441/424 + -3/424. What is the common denominator of 53/18 and x?
36
Suppose 5*p = -4*i - 0*i - 19094, -2*p - 7660 = -4*i. Let a = p + 45973/12. Find the common denominator of -3/8 and a.
24
Let h be (2 - 5)*(-141)/234. Let b = h + 797/156. Let d = -13621/8 + 1692. Find the common denominator of d and b.
24
What is the least common multiple of 0 - (1 - (26 - -3)) and 10?
140
Suppose 21 = g + 19. What is the lowest common multiple of g and 2?
2
Let a = 3 + -1. Let x be (-1)/(-4) - (-215)/20. Let l = 18 - x. What is the least common multiple of l and a?
14
Let p be (-17)/(2 + (-27)/12). Suppose 0*f + 5*f - 100 = -5*x, 4*f - p = -x. What is the lowest common multiple of (8/(-5))/((-2)/25) and f?
80
Let g be 0 - (-3 + 2 - 32). Let m = g - 23. Suppose 25 = 5*b + 2*v + 2*v, -3*b - 4*v + 15 = 0. Calculate the least common multiple of m and b.
10
Suppose -19 = 2*h - w, -w = 5*h + w + 43. Let u be (6*9)/3*1. Let o = u + h. What is the least common multiple of o and 8?
72
Let z = 2051 - 3325. Let a = -84/149 + 1707253/1341. Let f = a + z. What is the common denominator of f and 33/7?
63
Let q be 3/18 + 166/12. Let j = q - 32/3. Find the common denominator of -1/8 and j.
24
Let u = -6645 - -53253/8. Find the common denominator of u and 73/10.
40
Suppose -3*z - 57 + 7 = -5*o, 0 = 3*o + 5*z - 30. Let b = -9 - -10. Calculate the lowest common multiple of o and -5 - -5 - (-1 - b).
10
Let o = 931/6 + -269/2. Calculate the common denominator of o and -91/15.
15
Let d = 46 + -32. What is the least common multiple of d and 6?
42
Let o = 1 - 1. Supp