a**3/3 - 5*a**2/2 - 8*a - 8. What is the lowest common multiple of r(7) and 2?
6
Let x be (-1 + 1)*9/(-18). Suppose 0 = -4*f + 1 + 43. Suppose x = 3*q - 4 - f. What is the least common multiple of 9 and q?
45
Find the common denominator of 14/77*11 + 314/(-12) and 3 - (164/72)/1.
18
Suppose -v = 4*v - 2*o - 26, 10 = v - 2*o. Suppose -5*c - 19 = x, 15 = -3*x - v*c + 2. Find the common denominator of (-30)/36*x*-3 and 32/3.
6
Let c be (-2)/(-10) + (-72)/(-15). Suppose -5 - c = -v. Suppose -6*f - v = -7*f. Calculate the least common multiple of f and 9.
90
Suppose -3*n = 3*q - 0*n - 135, -65 = -2*q + 3*n. Let l = -34 + q. Calculate the smallest common multiple of l and 8.
24
Suppose -2*o + 7*o = 25, -3*c + 297702 = -3*o. Let g = c - 244822617/2467. Let h = 76517/24670 + g. Calculate the common denominator of h and -1/10.
10
Let u = -64733/10 - -6480. What is the common denominator of -173/750 and u?
750
Let v(l) = -15*l + 7*l**2 + 16*l - 13 + 5*l**3 - 4*l**3. Let s be v(-6). Let h = s + -15. What is the lowest common multiple of h and 8?
8
Suppose r = 5*g - 2*g - 3, -2*g = -r. Calculate the lowest common multiple of r and 5.
30
Let z = -5136736 + 92513285/18. Let y = 2892 - z. What is the common denominator of -85/154 and y?
1386
Let x = -7847/4 + 1941. What is the common denominator of x and 1/4 + 26/8?
4
Suppose -2 = o + 4*d, 0*o + 5*d + 6 = -3*o. Let n = 4 + o. What is the smallest common multiple of (-12)/(n/3*-1) and 3?
18
Let b = 25 + -18. What is the common denominator of (b - 4) + 3/8 and 0 + -2 + (-28)/(-40)?
40
Find the common denominator of 47/12 + (-1)/(-4) and 1/(-10)*-6 + (-106)/(-40).
12
Calculate the common denominator of 33/4 and (-336)/560 - ((-13478)/8530 + 1).
3412
Let j = 30 + -42. What is the smallest common multiple of 4/(j/9)*(-8)/3 and 16*(-2 + 1)*-1?
16
Let l = -706133254829/2668 - -264667650. Let p = 5/667 - l. Find the common denominator of -1/5 and p.
20
Let a be 9/6 - (-1)/(-2). What is the common denominator of a*(-2)/7*-20 and -37/6?
42
Let s = -15/6164 + 200825/203412. Calculate the common denominator of s and 179/90.
990
Suppose 2*m + 21 - 41 = 0. Let k be 4/865*(-5)/m. Let p = 4369/19030 + k. Find the common denominator of 53/20 and p.
220
Calculate the lowest common multiple of 9 and 4/34 - (122696/136)/(-7).
387
Let h be (-44)/(-8) + 2/4. What is the lowest common multiple of 32*(-4 + h)*1/4 and 66?
528
Let w = 2 - -6. Let k(f) = f + 6. Let x be k(-6). Let c = w + x. What is the least common multiple of c and 14?
56
Suppose -300 + 0 = -5*i. Suppose -23*p = -28*p - i. Calculate the common denominator of 6/11 and ((-116)/6)/(p/9).
22
Suppose 3*s + 0 - 15 = 0, -11 = 4*r - 3*s. What is the lowest common multiple of r and 10?
10
Let g(t) = -t**2 - 12*t + 21. Calculate the lowest common multiple of g(-12) and 18.
126
Let g(m) = m**3 + 8*m**2 - 27*m - 25. Calculate the lowest common multiple of g(-10) and 16/(-4) - 31/(-1).
135
Let y = 18587/20 + -927. Find the common denominator of y and -1*(22 - 21) - (-1)/20*49.
20
Let x(f) = -49*f**3 + 2*f**2 + 2*f + 1. Let l be x(-1). Suppose l = 7*v - 2*v. Let d = v + 0. What is the smallest common multiple of d and 14?
70
Let g be ((-283143)/328)/((-3510)/24). Let a = g - 4/1599. Find the common denominator of a and 3/2.
10
Let z = 12 + -12. What is the common denominator of (z + -15)*(-34)/(-24) and 57/10?
20
Let k = 557 + -458. Calculate the least common multiple of k and 54.
594
Calculate the least common multiple of 32 and 1*(-1 - 12/(-4) - -20).
352
Let m = -2541 + 4337. Let y = 472466 - 2823979/6. Let s = m - y. Calculate the common denominator of s and -87/16.
48
Suppose 30*x = -6*x + 648. Let v = -13 + 25. Let o = v + 6. What is the least common multiple of x and o?
18
Suppose -37*t = -38*t + 20. Suppose 53 - t = 3*z. What is the least common multiple of z and 7?
77
Let y = 31 - 141. Let d be (2/y)/(48/32430). Let w = d + 219/11. Calculate the common denominator of w and -33/10.
40
Suppose 7*w - 4*w - 18 = 0. Let s(n) = -101*n + 1022. Calculate the smallest common multiple of w and s(10).
12
Suppose 0 = z + 22*s - 20*s - 178, -2*z - 5*s = -355. What is the least common multiple of z and 360?
360
Let n(s) = s + 10. Calculate the least common multiple of n(20) and 25.
150
Let m(c) = c**3 - c**2 + 48. What is the lowest common multiple of 10 and m(0)?
240
Let a = 38908 - 14668347/377. Calculate the common denominator of a and 67/8.
3016
Find the common denominator of -41/36 and (6/(-48))/((-24)/(-18)).
288
Let f = 5040714197806027/10229827560 - -1632/85248563. Let o = -492739 + f. Let p = o + -11/30. Find the common denominator of 25/11 and p.
88
Let u = -23 - -217. Suppose 3*j + 3*v = -2*j + 346, 0 = 3*j - 5*v - u. Calculate the common denominator of 3/5*10/j and -101/8.
136
Find the common denominator of 3/350 and -1 - (-440)/(-16)*(-21)/45.
1050
Suppose 64 = -4*c + 5*s, -4*c - 2*s + 1 - 93 = 0. Suppose -4*u = -5*u - 1724. Let y = u + 8654/5. What is the common denominator of y and c?
5
Let y(j) = j**2 - 4*j + 8. What is the least common multiple of 50 and y(8)?
200
Let g be (-62)/(-2) - 5/15*3. Let v = g + -14. What is the lowest common multiple of 20 and v?
80
Let r = -115 + 133. Suppose 4*s - 15 = 61. Suppose 3 = j - s. Calculate the smallest common multiple of r and j.
198
Let x(f) = f - 10. Let v be x(14). Calculate the common denominator of (-2)/v - (-208)/28 and 210/(-32) + (-17)/(-68).
112
Suppose -9 - 6 = -5*z. Suppose -z*p + 21 = 4*y, y + 5*p = 2*y - 11. Calculate the least common multiple of y and 24.
24
Let k(i) = i**3 + 19*i**2 - 67*i - 12. What is the lowest common multiple of 24 and k(-22)?
120
Let z be ((-2)/8)/((-3)/12). Let x = 46 - 55. What is the common denominator of (x + (-4)/z)/2 and -5/12?
12
Suppose 3*b + 1 = 82. Let h = -15 + b. Calculate the least common multiple of 18 and h.
36
Let t be 0 - 1/(20/165921). Let w = -8298 - t. Find the common denominator of -8/9 and w.
180
Let q = -66098/51 - -3895/3. Suppose -u - 57 + 399 = -5*x, -4*x - 1059 = -3*u. Find the common denominator of q and (u/(-98))/((-3)/(-4)).
119
Suppose -4*h + 237 = -5*o, -h = -6*h + 2*o + 309. Calculate the least common multiple of 21 and h.
63
Let w(u) = -20*u + 126. Let n = 0 - -8. Calculate the lowest common multiple of w(6) and n.
24
Let d = -8 + 24. Find the common denominator of (-19 + 0)*3/21 - -3 and (16/24)/(d/(-438)).
28
Let m be 23 - (3 - 2 - 3). Suppose 2*z - 5 - m = 0. What is the smallest common multiple of 18 and z - (0 + 5 - 2)?
36
Let l(u) = 23 - 29 + 7*u + 2*u - 8*u. Calculate the smallest common multiple of 6 and l(10).
12
Suppose 3 + 15 = -3*x. What is the common denominator of 89/4 and x/16*903/(-63)?
8
Let b = -2922/655 + 8/131. What is the common denominator of -56/93 and b?
465
Let w = -7/113 + 3375/1582. What is the common denominator of (5 - (-35)/(-38))*3/(-10) and w?
532
Let s(j) = -j**3 + 16*j**2 + 35*j + 40. Calculate the smallest common multiple of 5 and s(18).
110
What is the common denominator of ((-4)/(-4))/((-4)/(-392)*-18) and -47/30?
90
Calculate the smallest common multiple of 2 and (9/18)/(3/48).
8
Suppose -k - 5*r = -0*k + 12, -k = -3*r - 12. Suppose k*u + 3*u = 24. Calculate the least common multiple of 90 and u.
180
Suppose 4*h + 20 = -0*h. What is the least common multiple of (56/(-35))/(1/h) and 24?
24
Let y(r) = r**2 + 6*r + 2. Let s be y(-6). Suppose 0 = -3*a + s*v - 4*v + 7, 4*v - 5 = 3*a. Find the common denominator of (-595)/30 + -1 + a and 93/20.
60
Let w(f) be the third derivative of 0*f**3 + 0*f - 5*f**2 + 0 - 1/12*f**4. What is the lowest common multiple of 2 and w(-8)?
16
Let b be -3*((-2)/3 + 0). Suppose -3 = -b*g + 5. Suppose 0 = -14*l + 8*l + 108. What is the smallest common multiple of l and g?
36
Let g = -63/296 - 10199/5624. Calculate the common denominator of (-14)/24*9/(-63) and g.
228
Let q(p) = p**3 + p**2 + 43*p + 14. Calculate the lowest common multiple of 58 and q(0).
406
Suppose 0 = -22*v + 21*v + 2, -u + v + 25 = 0. Suppose 2*q - 5 + 14 = -5*x, 2*x - 9 = -5*q. What is the least common multiple of q and u?
27
Let h(a) = a**3 - 4*a**2 + a + 4. Suppose -f = -w + 5, 3*w - 2*f - 3*f = 17. Let c be h(w). Calculate the common denominator of 3/c*210/7 and -149/18.
36
Suppose 5*l = 10, -2*l = -d + l + 5533. Let b