
Let u be ((-12)/150)/((-24)/(-4570)). Let b = u + 107/6. Find the common denominator of -21 and b.
5
Let b = -22 + 39. Suppose 3*u - 3*d - 7 = b, -d = -1. Suppose 7*x - 50 = 2*x. Calculate the lowest common multiple of u and x.
90
Let s be (0 + 2/(-2))*-4. Suppose -2 - 23 = -2*t + 3*a, 12 = -s*a. Let l = 46 - 30. What is the lowest common multiple of l and t?
16
Let o(k) = -8*k**2 + k - 1. Let t be o(1). What is the common denominator of 5/2 and (-2)/t + (-183)/4?
2
Suppose i + 9 = 4*i. What is the least common multiple of 12 and i?
12
Calculate the common denominator of 6/(-4)*33/(-2) and (429/4)/(7/((-84)/(-54))).
12
Suppose 0 = -3*k + 4*j + 8770, -j + 1010 = -4*k + 12686. Let b = k - 46719/16. Calculate the common denominator of 85/12 and b.
48
Suppose -4*r + 71 = 3*b, 0 = -r - 4*b + 5*b + 9. Calculate the lowest common multiple of 8 and r.
56
Let a = 243791/22 - 11076. Let b = -172/77 - a. Find the common denominator of (-2)/(-4)*(-20)/16 and b.
56
Let u = 3/30481676 + 256335653293/10455214868. Let n = 6/343 - u. What is the common denominator of n and 37/18?
18
Suppose -1 - 3 = 4*s. Calculate the smallest common multiple of s/((6/(-8))/3) and 8.
8
Let h = -36 - -52. Suppose 17*t = h*t + 1. What is the smallest common multiple of t and 10?
10
Suppose 5*u - 18 = -4*u. What is the lowest common multiple of 98 and u?
98
Let o(p) = 3*p - 1. Let w be o(2). Let d(a) = -6*a**3 - 3*a + 3. Let b be d(1). What is the common denominator of (-131)/b + 0/w and -151/6?
6
Let s be (-6)/(-18) + (-1)/3. Suppose g = 6 - s. Calculate the common denominator of g and -55/9.
9
Suppose 5 = -3*q + 32. Let y be 22/(-6) + (-3)/q. What is the common denominator of -73/3 and (-73)/(-9) + y/(-18)?
3
Let c = 8576203/2079 - 112724/27. Let j = -362/7 - c. Find the common denominator of j and (123/(-6))/(1 + 0).
22
Calculate the common denominator of (-222 + -15)*(-1)/6 and -36/7.
14
Let l = -13 - -29. Find the common denominator of (-385)/(-15)*(-6)/l and 33/16.
16
Let w = -2/2833 - 410749/50994. What is the common denominator of w and ((-30)/(-40))/((-2)/76)?
18
Let o(s) be the second derivative of -1/6*s**3 + 0 - 1/2*s**2 - 3*s. What is the lowest common multiple of o(-5) and 10?
20
Let v = -2/1423 + -106721/2846. Find the common denominator of 37/10 and v.
10
Let p(j) = j - 1. Let s be p(4). Suppose -4*a - s*m = -4*m + 81, -m - 24 = a. Find the common denominator of 6/a - 754/56 and -54/7.
28
Let z(a) = 4*a + 28. Calculate the lowest common multiple of z(-6) and 34.
68
Let i = -21/187 - 523/187. Find the common denominator of i and -97/8.
88
Suppose -3*d + 43 = 3*w + 2*d, 4*d = 8. Calculate the smallest common multiple of 3 and w.
33
Let g = -34 + 33. Let v = 2 + -2. Calculate the smallest common multiple of (v - -2)*(2 - g) and 11.
66
Let r(h) = -h**2 - 17*h + 23. What is the smallest common multiple of 5 and r(-17)?
115
Let i(l) = -l**3 - 5*l**2 - 2*l + 7. Let x be i(-6). Suppose -4*t - t + x = 0. What is the smallest common multiple of t and 4?
44
Let y(g) = -g**2 - 8*g - 1. Let i be y(-6). Let f(r) = r**3 - 12*r**2 + 11*r + 4. What is the least common multiple of 2 and f(i)?
4
Suppose -3*v = 6, 0 = -l - 2*v + 2 - 3. Suppose 30 = 5*w - 4*i, -l*w + i - 24 = -7*w. What is the smallest common multiple of w and 5?
30
Suppose 166*h = 178*h - 96. Let b = 8 + -4. Let d = b - 1. What is the smallest common multiple of h and d?
24
Calculate the lowest common multiple of 1*2 + 29 + -13 and 14.
126
Let h = -46897/18 - -2612. Let d = -2783/36 + 518/9. Calculate the common denominator of h and d.
36
Let m = 5/3548 - -69011/124180. Calculate the common denominator of 33/4 and m.
140
Find the common denominator of 71/4 and (-384)/(-9)*(-2)/12.
36
Let o(l) = 2*l**2 + 4*l - 1. Find the common denominator of -33/7 and o(-5).
7
Let c(z) = z**3 - 11*z**2 + 3*z - 15. What is the smallest common multiple of c(11) and 21?
126
Suppose s - 1 = -5*v, 0 = -2*v + 5*v + 12. What is the lowest common multiple of s and 1?
21
Suppose -5*m = i - 128 + 25, -m + 4*i + 8 = 0. What is the lowest common multiple of m and 4?
20
Let y = 108657/16 + -6794. Let p be 3 - 26*26/(-64). Let x = y + p. Calculate the common denominator of -22/3 and x.
24
Let h be (-1)/(2*3/(-18)). Suppose w = -h*w - 18312. Let t = w - -73217/16. Find the common denominator of t and -121/12.
48
What is the common denominator of 24*10/495 + (-1 - -2) and 20/27?
297
Let b = -511 - -1153. Suppose 4*m - 20 = v + 3*v, -2*m + 4*v + 18 = 0. Calculate the common denominator of m + (b/(-20))/(-3) and -17/11.
110
Suppose 0 = -5*s - 5*h + 10, -2*h + 3*h = -2*s + 7. Let t(n) = -n + 11. Calculate the least common multiple of 14 - (12/3)/(-2) and t(s).
48
Let i(m) = -10*m. Suppose 3*d - 2 - 13 = 0. What is the least common multiple of d and i(-1)?
10
Let k = 11 - 7. Suppose -5*d = 2*j - 32, -k*j = j - 5*d - 115. What is the least common multiple of 4 and j?
84
Let n(k) = k**3 - 5*k**2 - 4*k - 6. Let v = 20 + -64/3. Calculate the common denominator of v and n(6).
3
Let x(r) be the second derivative of 5*r**3/6 - r**2 + 3*r. Let g(l) = l + 11. What is the least common multiple of g(-6) and x(2)?
40
Suppose 0 = -4*x + 5*x - 4, 3*k - 4 = -x. Suppose -5*s + 31 = -v, -v + 4 = -k. Let z = 8 - -3. Calculate the smallest common multiple of z and s.
77
Suppose -3*a + o + 22 = 0, 2*o - 55 = -4*a - a. Calculate the smallest common multiple of a and 11.
99
What is the common denominator of 3/2 + (-4)/64 and 15/8?
16
Suppose -m - 14 = 5*r + 13, 4*r + 22 = -m. Find the common denominator of 39/m - (-4)/(-2) and 93/14.
14
Suppose -5*f - 39 - 19 = -3*x, -3*x + f = -38. What is the least common multiple of x and 3?
33
Let n = 15 + -9. What is the least common multiple of 20 and n?
60
Let f(m) = m**2 - 7*m + 4. Let x be f(6). What is the common denominator of x/4*(-48 - -1) and 19/22?
22
Let d = -138953/24 + 5792. Find the common denominator of d and -16/9.
72
Suppose 0 = -4*n - 2*l + 20, -1 + 6 = n + 4*l. Suppose 2*d + 6*y = y + 36, n*y = 20. Calculate the least common multiple of 6 and d.
24
Let a be (-1)/(-3) + 56/12. Suppose 0*x - 14 = -x + 5*k, -44 = 4*x + a*k. What is the smallest common multiple of 3 and (-9)/x*6/9?
3
Let b = 6409/12 + -523. Let t = -5758 + 45975/8. Calculate the common denominator of t and b.
24
Let j = -22 - -29. Suppose u + 3 = 13. What is the least common multiple of u and j?
70
Suppose -5*g - f = -39, g = -0*f + 2*f + 10. Suppose 2*l + 2*l = 36. Suppose 5*q + l = -w - 0, 2*w - q = 4. Calculate the lowest common multiple of w and g.
8
Suppose 0 = -3*d - 0*d + 12. Let z be 6*(1 - (-3)/(-2)). Let a = d + z. Calculate the smallest common multiple of a and 5.
5
Let p(g) = 2*g + 6. Let v be p(-4). Let z be (1/2)/(v/(-4)). Find the common denominator of 13/6 and 77/(-16) + z/2.
48
Let k = 8 + -6. Let c = k + 2. Suppose 3*q - 38 + 11 = 0. Calculate the least common multiple of c and q.
36
Suppose -2*d + 4 = 2*u, -3*u + 2*u = -5*d - 14. Suppose -4 = -u*n + 3*s, 4*n - 20 = -0*s - s. Calculate the least common multiple of 5 and n.
20
Suppose 4*o - 20 = 0, 5*p - 200 = -0*p - 4*o. Suppose -q + 4*b - 56 = -19, 3*b = 15. What is the common denominator of p and q?
1
Suppose -153 + 99 = -2*z. What is the lowest common multiple of z and 1?
27
Suppose -c + 5*y - 2 = 0, 5*c + 48 = 2*c + y. Suppose -5*u - 131 = l, 3*l - 5*l = -3*u - 89. Let t = c - u. Calculate the lowest common multiple of t and 6.
30
Let t = -871/4 - -221. What is the common denominator of 11 and t?
4
Let u be 0 - (0 + 14997/(-12)). Let o = u + -20031/16. Let m = 845/204 + -7/408. Calculate the common denominator of o and m.
16
Let k = 1 - -1. Let l = 6 - k. Find the common denominator of 125/12 and -2 - 0 - (-11)/l.
12
Let r = 3 - -5. Let s = -12 - -13. What is the least common multiple of s and r?
8
Let y(w) = w - 2. Let z(u) = -u**2 + 4*u - 3. Let b be z(2). Suppose 4*t - 33 = -b. Calculate the lowest common multiple of t and y(6).
8
Let p be 24176/(-6) + 1/2. Let l = p + 4049. Find the common denominator of l and 324/(-40) - (-1 - 0).
30
Let a = -8 + 11. Let r(f) = 3*f**2 + 9*f - 5. What is the smallest common multiple of a and r(-4)?
21
Let v = -5167/7 - -92285/126. What is the common denominator of v and -85/6?
18
Let t = 73 - 51. Suppose 0 = 3*i - t + 4. What is the least 