
Suppose w + 4*w = -3*a - 22, a = 4*w + 21. Let c = 3/2203829 + 58837826543/72726357. Let q = 2441/3 - c. What is the common denominator of q and w?
11
Suppose -2*x + 7*x = -v + 31, -2*x - 3*v = -15. What is the smallest common multiple of 30 and x?
30
Suppose 0 = 2*g - 2. Calculate the least common multiple of 11 and (g - 0)/(3 + -2).
11
What is the common denominator of -15*(10/2 + -4) and (-2)/(-9) - 53/9?
3
Let p(v) = -v**2 + 26*v + 8. Calculate the lowest common multiple of p(26) and 22.
88
Suppose -4*h + 3 = -5*n, -3*n + 11 = 5*h - 2*n. Let z(f) = 0*f + 3*f + 3*f**2 - 2*f**h + 3*f. What is the least common multiple of z(-7) and 4?
28
Let i = -8/935 + -62597/5610. Find the common denominator of -5/9 and i.
18
Let q be -894 + 3 - 1/1. Let m = q - -7199/8. Find the common denominator of (-85)/(-8) + -7 + 5 and m.
8
Let f(r) = -r**2 + 3*r + 12. Calculate the least common multiple of 9 and f(3).
36
Let i(t) = -2*t + 15. Let r be i(12). Let u = 0 - r. Calculate the lowest common multiple of u and 8.
72
Let m = -5 - -12. What is the smallest common multiple of (-304)/(-40) - 3/5 and m?
7
Let j be ((-1)/166)/(5/60). Let d = -2437/415 - j. What is the common denominator of d and -76/3?
15
Let h(l) = l**3 - l**2 + 2. Let y be h(3). Suppose 2*q = 4*q - y. Calculate the smallest common multiple of 5 and -5 + q - 2/(-1).
35
Let t be ((-1)/(-2))/(11/22). Calculate the common denominator of 1 + 29/(-3) + t and -19/4.
12
Let i be (14/5)/(7/1260). Let h = 1493/3 - i. Calculate the common denominator of h and 58/9.
9
Let n = 6 + -3. What is the least common multiple of 4 and n?
12
Let t(r) = -1 + 9 - 3*r**2 + 4*r**2 - 3*r. Let u(c) = -11*c - 1. Calculate the lowest common multiple of u(-1) and t(5).
90
Let q be (5 - -6)/(-1 - 0). Find the common denominator of 37/4 and 5/((-1)/((-9)/q)).
44
Let m = -4 + 9. Calculate the common denominator of -1*(4*-7 - 1) and 2 + m/(30/32).
3
Let k be 1 + 4/((-24)/(-9365)). Let j = 1557 - k. Calculate the common denominator of (-2*(-3)/(-15))/2 and j.
30
Let i(h) = 19*h**2 + 4*h - 2. Let o be i(-2). Suppose -2*p - 12 = -o. Calculate the smallest common multiple of p and 10.
270
Let n = -2 - -12. Let p = -613/150 + -2/25. Find the common denominator of (n/9)/(24/(-225)) and p.
12
Let p be 2/10 + (-104)/(-5). Let j = p - 33. Find the common denominator of 125/6 and (-1 - 14/j)/(-1).
6
Let g(x) = x**2 - 3*x + 1. Let m be g(3). Let n(q) = -q**2 - 9*q + 1. Calculate the least common multiple of 7/m*12/14 and n(-9).
6
Suppose -17*c - 26 + 298 = 0. Calculate the smallest common multiple of 40 and c.
80
Let h = -33915 - -17873200/527. Let n = -377/527 - h. Calculate the common denominator of -15/4 and n.
68
Let a(z) = z + 10. What is the smallest common multiple of 6 and a(6)?
48
Let o = -18/425 - -3351/850. Calculate the common denominator of o and -39/7.
70
Calculate the common denominator of (-8)/28 - 827/70 and -107/22.
110
Suppose -2 - 4 = -3*o. Suppose -3*v = 3*n, -v = 2*n - 0 - o. What is the smallest common multiple of n and 5?
10
Let t = 93 + -138. Let h(x) = x**3 - 5*x**2 + 4. What is the smallest common multiple of 6/(-12) - t/6 and h(5)?
28
Let w = -6715/12 - -566. Find the common denominator of w and 99/2.
12
Let f(r) = -5*r**2 - r. Let v be f(-1). What is the common denominator of (-3)/(-12)*86 + -2 and (-1)/v + (-7)/(-20)?
10
Let t(w) = -4*w**3 + 11*w**2 + 5*w + 2. Let s be t(-9). Let y = s + -18882/5. What is the common denominator of y and 58/9?
45
Let v = -39 - -14. Calculate the common denominator of (12/(-40))/(6/v) and -58/7.
28
Let z = -24 - -28. Calculate the least common multiple of z and 12.
12
Calculate the smallest common multiple of (-2)/(-7) + 40/7 and (1 + -2 - 21/105)*-5.
6
Calculate the common denominator of (-4)/6*(-111)/2 and (115/75)/(4/6).
10
Let t be (2 + -3)/((-3)/(-180)). Find the common denominator of (-78)/t + (-6)/10 and -13/4.
20
Suppose o + o = 558. Let q = o - 623/2. Let a = -21/146 + -3837/730. What is the common denominator of a and q?
10
Calculate the least common multiple of (24/(-9))/((-2)/6) and 12.
24
Suppose 0 = 5*s + 2*b - 109, -4*s + 3*s + 2*b = -17. What is the smallest common multiple of s and 3?
21
Let v(q) = 7*q**2 + 7*q - 3. Let c(r) = -7*r**2 - 6*r + 2. Let u(b) = -5*c(b) - 4*v(b). Calculate the least common multiple of 1 and u(-1).
7
Suppose -5*y + 13 - 3 = 0. Suppose 0 = -4*b - 5*n + 60, -2*b + 2*n + 0*n + 12 = 0. Calculate the smallest common multiple of b and -1 + y - -2*1.
30
Let z = 394 - 586. Calculate the common denominator of 11 and 8/z*56/6.
18
Let z(m) = -m**3 + 3*m**2 + 6*m + 1. Let h be z(9). Let a = -891/2 - h. What is the common denominator of -131/18 and a?
18
What is the smallest common multiple of (-11 + -1)*(-3 - -2) and 4?
12
Let c = 115/173 + -519283/780922. Let r = c - -82382/6771. What is the common denominator of r and -46*(-3)/(-21) + 1?
42
What is the least common multiple of 42 and 1240/93*(-9)/(-4)?
210
Let s be (-99)/(-6)*2 - 4. Let v = s + -21. Calculate the lowest common multiple of 10 and v.
40
Calculate the common denominator of (-21)/(-36) - (-2)/(-15) and 5/2.
20
What is the least common multiple of 18 and ((-48)/(-28))/(6/63)?
18
Suppose -3*f = q + 4*q - 286, -3*f = -3*q - 318. What is the smallest common multiple of 9 and 1/(-4) - f/(-24)?
36
Let t = -47479/11590 + -4/1159. Find the common denominator of 21/20 and t.
20
Let g be 1976/(-3280) + (-3)/(-5). Let a = g - 3891/1640. What is the common denominator of (-20)/(-6) - (-1)/2 and a?
24
Let v(c) = 2*c**2 + c - 7. Let w be v(-3). What is the common denominator of 71/6 and ((-2136)/(-36))/(w/6)?
6
Calculate the common denominator of -45/14 and (-6)/488*(34 - (-16)/4).
854
Suppose 3*v = -6 + 27. Calculate the smallest common multiple of v and 8.
56
Let a = 2475 + -24723/10. Calculate the common denominator of -57/22 and a.
110
Let d = -18745/6 + 3104. What is the common denominator of 39/4 and d?
12
Find the common denominator of ((-245)/4)/(-7) + -3 and 4/(-10) - (-389)/(-40).
8
Calculate the lowest common multiple of 88*(-3 + ((-2)/(-4) - -3)) and 32.
352
Let y(i) = i**3 + 4*i**2 - i - 2. Let h be y(-2). Suppose 2*n - 4*n = -h. Calculate the lowest common multiple of (-70)/(-4)*(-4)/(-10) and n.
28
Find the common denominator of 17/3 and (-1 - (-4)/16)*7.
12
Let y = 5724/18865 - 2/5145. Find the common denominator of y and 32/33.
33
Let i(z) = z**2 - z. Let j(c) = -c - 4. Let m be j(-4). Suppose 2*b - 2 = m, -22 = -v - 6*b + 2*b. What is the lowest common multiple of i(4) and v?
36
Let d be 4 - 0 - (3 - 0). Calculate the common denominator of -11/20 and (-212)/8 - (-4)/d.
20
Let o be (-2 + 1)/2*-48. Let x = o - 15. Calculate the lowest common multiple of 2 and x.
18
Suppose 3*x + 4*b = -82, -2*x - 2*b + 3*b - 40 = 0. Let l = 34 + x. What is the common denominator of (294/l)/(9/(-2)) and 113/12?
36
Suppose 4*h = 3*f + 78, 3*h - 64 + 6 = 2*f. What is the common denominator of 33/14 and (103/(-4))/(h/4)?
126
Suppose z - 3*o = -16, 7*o - 21 = z + 3*o. Let l(r) = 11*r**2 + 1. What is the least common multiple of 20 and l(z)?
60
Let p = 49149/10 - 4925. Calculate the common denominator of 31/4 and p.
20
Suppose 3*p - 2 = v - 0, -2 = -v + p. Find the common denominator of -79/4 and 1 - 1 - (-158)/v.
4
Let r = -204/19 - -1285/171. What is the common denominator of r and 67/8?
72
Suppose -2*g = 15 + 1. Calculate the common denominator of 47/(-4)*(-2)/g and (-27)/(-2)*2/(-4).
16
Let g = -15049/20 + 752. Find the common denominator of 47/12 and g.
60
Let y = -2357/136 - -250/17. Calculate the common denominator of -5/2 and y.
8
Suppose -2 = o - 9. Calculate the common denominator of 82/(-20) + o/(-35) and 101/12.
60
Suppose -p - 10 = -6*p. Let s be (-13)/p*(-107 - -1). Let w = 5503/8 - s. Find the common denominator of -54/5 and w.
40
Suppose -6*u + 23 = -u - a, 0 = -2*u - 4*a + 18. Suppose -u*w + 4*w + 8 = 0. Suppose 0 = -h - h + w. Calculate the lowest common multiple of h and 16.
16
Let l = 17876455/66 - 270871. Let j = -401/11 - l. Calculate the common denominator of j and 71/3.
6
Let x(g) = -4*g + 17. What is the lowest common multiple of 3 and x(3)?
15
Let s = -8 - -18. Suppose 0 = 3*r + 12, -4*b + 14 = -5*r - 14. What is the smallest common multiple of s and b?
10
Let d = 7 - 10. 