 What is the common denominator of c and -57/7?
70
Suppose 6*r - 45 = 3*r. Let g = -11520 - -207241/18. What is the common denominator of ((-284)/(-40))/((-6)/r) and g?
36
Suppose 2 = -3*n + 8. What is the lowest common multiple of n and 12?
12
Let u = -4/49 - -3291/98. Find the common denominator of 40/3 and u.
6
Suppose 27*d - 5 = 22*d. Let w be 2/(-6) + (-2)/(-6). Let o = w + 9. Calculate the lowest common multiple of o and d.
9
Let z(m) = -m**2 + 13*m + 31. Suppose -2*g + 32 = 2*g. What is the least common multiple of g and z(15)?
8
Calculate the common denominator of -69/4 and 354/495 + (-8)/44.
60
Let d be 0*(10/(-4) - -3). Suppose d = -0*q - 2*q + 10. Calculate the least common multiple of q and 6.
30
Let s = -2/21581 + 1381202/194229. What is the common denominator of s and 38/7?
63
Let u = -359/10 + 727/10. Let c = u - 2687/90. Calculate the common denominator of c and -19/16.
144
Suppose -2 + 0 = 2*m, -5*m - 62 = -3*c. Calculate the common denominator of c and (-6)/(-18) + 172/(-16).
12
Suppose -41 + 46 = 5*s. Let c = 24 - 2. Suppose -3*p = -8*p - 20, p = 2*i - c. Calculate the least common multiple of s and i.
9
Suppose -4*f - 28 = -3*r, -4*r + 21 + 7 = 4*f. Suppose 8*k = 4*k - r. What is the lowest common multiple of 2 and 7 - (3 + -1)/k?
8
Let a = -488/3 + 14146/87. Let o = -21/116 + a. Find the common denominator of ((-2)/6)/(28/6) and o.
28
Let u = 338975/32 - 10592. Find the common denominator of u and 69/40.
160
Let z(a) = 3*a**3 - a**2 - 2*a - 1. Let b be z(2). What is the lowest common multiple of (-2)/(-9) - 16/(-9) and (-1 + b/6)*6?
18
What is the common denominator of 88/21 and 8/(-44) - 262/(-594)?
189
Let a = 5081/10 - 506. What is the common denominator of 2/(-8) + (-14)/12 and a?
60
Let s = -6 + -2. Let n(k) = -k**3 - 4*k**2 - 3*k. Let p be n(-2). Calculate the common denominator of (p/(-4))/(3 - s) and -7/22.
22
Let t(w) = -21*w**3 - w**2. Let m = 11 - 17. Let l = 5 + m. What is the least common multiple of 16 and t(l)?
80
Find the common denominator of 5/18 and ((-46)/56)/(11/(-22)).
126
Let p be 1626/(-5) - (-2)/(-5). Let j = p - -313. Find the common denominator of (-2)/(-9) + 194/(-144) and j.
40
Suppose h = -2 + 24. Suppose -2*c = -0*c - 8. What is the smallest common multiple of h and c?
44
Let y(u) = -3*u - 1. Let o be y(3). Let g = o - -2. Let q = 26 + g. Calculate the smallest common multiple of q and 8.
72
Let b = 78350/3 + -26338. Let w be (-1)/6 + 20229/(-90). Let t = w - b. What is the common denominator of t and -37/7?
35
Suppose -3*h - 22 = -2*x + 2, 5*h + 14 = -x. Suppose 4*s - x = 2. What is the common denominator of ((-2)/(-6))/(s/(-3)) and 35/11?
22
Suppose 0 = -5*z - 5 - 5. Let d = 606 - 6043/10. Find the common denominator of z + (-84)/(-27) - -2 and d.
90
Let v = -8070/7 - -1155. Find the common denominator of 26/7 and v.
7
Suppose 2*v + 1 + 3 = 0. What is the common denominator of v/(-12)*-97 - 0 and (2507/(-805))/((-2)/5)?
42
Let q(a) = 3*a**2 - 3*a + 1. Let s(u) = 3*u**2 + 15*u + 3. What is the lowest common multiple of q(2) and s(-5)?
21
Suppose -4*i - 3*o = -63, -i - 23 = -5*i + 5*o. Calculate the smallest common multiple of i and 2.
12
Let x = 196 - 101. What is the common denominator of ((-2)/(-44))/((-1)/(-10)) and (x/(-5))/((-14)/(-6))?
77
Let z(v) = -67*v - 1. Let k be z(-1). What is the common denominator of 29/14 - (-6 - -5) and 53*-1*3/k?
154
Let x(a) = a**3 + 3*a**2 - 3*a + 5. Let t be x(-4). Suppose 2*i = -6*i + 24. Suppose i*m - 5 = t. What is the least common multiple of 10 and m?
10
Suppose 4*o = 4*y + 45 + 87, 5*y = -4*o + 96. Calculate the common denominator of o and 103/14.
14
Let a(o) = 34*o**3 - o**2 - o + 2. What is the smallest common multiple of a(1) and 6?
102
Calculate the common denominator of 89/24 and -3 - (32/27 - 2).
216
Suppose -4*x = p - 2*p - 20, 4*p + 25 = 5*x. Suppose 4*m + 4*l + 28 = m, p = -m + 3*l - 5. Find the common denominator of -2 - (-1 + 190/(-12) - -1) and m.
6
Let p be ((-202)/40)/((-5)/(-30)). Let y = -66/5 + p. What is the common denominator of y and -40/11?
22
Let h(s) be the third derivative of -s**4/24 + 3*s**3/2 - s**2. What is the lowest common multiple of h(0) and 5?
45
Let u(j) = -j + 32. Calculate the least common multiple of u(10) and (-1 + (-4)/1)*-2.
110
Let c be 2/(-2 + 0 + 0). Suppose 0 = 4*i - 9 - 27. Calculate the smallest common multiple of i and c/2 + 15/2.
63
Suppose -a + 4*a - 6927 = 0. Suppose b - 2*b - a = 0. Let f = b - -6856/3. What is the common denominator of 20/3 and f?
3
Let l(n) be the second derivative of -n**4/12 + 4*n**3/3 - 9*n**2/2 + 3*n. Let k be l(8). Calculate the common denominator of (k/8)/((-105)/340) and -39/16.
112
Let w = 16 - 12. Suppose 3*r - 2*v = 40, -w*r + v = 5*v - 20. Calculate the least common multiple of r and 16.
80
Let n = 1/4177 + 338329/33416. Calculate the common denominator of n and 71/6.
24
What is the lowest common multiple of 6 and -1 + (-4)/8*-46?
66
Let t(q) be the third derivative of q**5/60 - q**4/3 + q**3/6 - 2*q**2. Let g be t(6). Let s = g - -15. Calculate the least common multiple of 4 and s.
4
Find the common denominator of (107/(-30))/(9/27) and 143/6.
30
Let t = 17 + -18. Let c(g) = -8*g + 1. What is the least common multiple of c(t) and 9?
9
Let h be ((-20)/(-90))/(16/(-66)). Let c = h + 73/6. Calculate the common denominator of c and -36/7.
28
Let j = -69 - -141/2. Find the common denominator of ((-9)/24)/(10/(-328)) and j.
10
Suppose -9 - 14 = -3*s - 4*h, 0 = -4*h + 8. What is the least common multiple of s and 3?
15
Let g = 33 - 19. What is the lowest common multiple of g and 4?
28
Suppose -2*d = -7*d + 15. Suppose 0 = z + 5, 3*k - 71 = 5*z - 19. Calculate the lowest common multiple of d and k.
9
Let k = 21 + -17. Let f = 2 + k. What is the least common multiple of f and 2?
6
Let s = -13763 - -1486415/108. Let u be 1*2 - (-634)/216. Let y = s - u. Calculate the common denominator of -71/22 and y.
66
Suppose -2*r - 15 = -7*r. Let c(k) = 2*k + 1. What is the smallest common multiple of c(3) and r?
21
Let h(i) = i**2 - 4*i - 3. Let b be h(5). Suppose b*g + g = -4*p + 18, 0 = 5*p - 4*g - 7. What is the smallest common multiple of p and 7?
21
Suppose 23*j - 26*j = -30. Let w = -16 + 27. Calculate the smallest common multiple of j and w.
110
Suppose -2*l + 15 + 1 = 0. What is the least common multiple of l and 3?
24
Let s be 1 + (1 - 1023/(-6)). Let v = -205 + s. Find the common denominator of 21/20 and v.
20
Let u(p) = -p. Let y be u(-3). Let n be (-1 + 1)*12/(-36). Suppose n = -2*k + y*k - 14. Calculate the least common multiple of k and 16.
112
Calculate the least common multiple of 8 and 0/1 + (-2)/(-1).
8
Suppose 0 = f - 11. What is the lowest common multiple of (4 + (-54)/12)*-3*2 and f?
33
Let f = -1/285 - 2501/190. Suppose j = 2*v - 31 + 3, -3*v = -3*j - 36. What is the common denominator of f and 8/v - 125/14?
42
Calculate the lowest common multiple of 8 and (-3)/(-2)*(-4)/(-6).
8
Let q(a) = -a**3 + 6*a**2 - 4*a - 1. Let o be q(4). Suppose -3*y + 19 = 2*r, -2*y = y - o. What is the smallest common multiple of r and 8?
8
Suppose 0 = -4*z - 113437 - 61107. Let b be (1/8)/((-2)/z). Let r = -2742 + b. Calculate the common denominator of -57/2 and r.
4
Suppose -30 = 2*i - 10. Let r be ((-24)/i)/(3/80). Calculate the common denominator of -35/22 and (-332)/r*(-8)/(-6).
132
Let r(i) = -i**3 + 3*i**2 + i + 2. Calculate the least common multiple of r(2) and 2.
8
Suppose -7*o + 50 = -13. Calculate the smallest common multiple of o and 22.
198
Let p be ((-30326)/3)/(1 - -3). Let q = 2518 + p. Find the common denominator of -19/6 and q.
6
Suppose 59 - 8 = 3*r. Suppose -2*t - c = -4*c - r, 5*c - 1 = -4*t. Suppose 39 = t*v - 9. Calculate the least common multiple of 4 and v.
12
Let w(a) = 2*a**2 + 7*a + 14. What is the smallest common multiple of 40 and w(-4)?
360
Let k(d) be the third derivative of d**5/60 + d**4/6 - d**3/3 + 3*d**2. Calculate the smallest common multiple of k(-6) and 20.
20
Let m(z) = z**2 + 5*z + 5. Let h be m(-7). Suppose -3*i - 1 + h = 0. Calculate the lowest common multiple of 1 and i.
6
Let z = -29/11 - -1013/88. Let p = -2769/682 - -15/62. Calculate the common denominator of z and p.
88
Let t be 2*2*1/1. Suppose 2*o - 2 = -m - 1, 9 = -t*m + 5*o. What is