?
12
Let s = 34 - 31. Suppose -4 - 2 = -s*n. What is the smallest common multiple of 3 and 5 - (-1)/2*n?
6
Let z be (-46)/(-14) - 8/28 - -18. What is the common denominator of (z/(-6) - 4)*(-1)/9 and 38/3?
6
What is the smallest common multiple of (-1 + (-2 - -1))*500/(-40) and 40?
200
Let j(n) = 5*n**2 + 30*n + 14. What is the least common multiple of 14 and j(-6)?
14
Let k = -42571/24 + 5294/3. Let a = -895 - -7141/8. What is the common denominator of k and a?
8
Suppose 6*z = 11*z - 10, -64 = -2*h - 2*z. What is the smallest common multiple of h and 5?
30
Suppose -5*d - 4*p = 16830, 5*d - p = -3*p - 16830. Calculate the common denominator of 103/12 and 2/7 - d/(-2520).
60
Suppose 5*s + 10 = 10*s. Suppose 0 = s*n - 4*d + 12, 0*n - 21 = n + 3*d. Calculate the smallest common multiple of (-3 + 6)/(n/(-64)) and 12.
48
Calculate the least common multiple of (-3 - -4)*80/8 and 231.
2310
Let c(x) be the third derivative of -x**4/4 - 2*x**3/3 + 2*x**2. Calculate the lowest common multiple of 20 and c(-3).
140
Find the common denominator of 0*7/35 + (-53)/(-165) and 47/45.
495
Let n(g) = g - 11. Let k be n(13). Suppose 3*h - f + 14 = 0, h - 4*f + 3 = k. What is the least common multiple of 1 and (h - (-2 - 1)) + 6?
4
Let x(b) = -b**2 + 15*b + 19. Let z be x(16). Let n be (z - 3) + 20/5. Suppose -h - i = -12, 0 = -i + n*i - 12. What is the lowest common multiple of 6 and h?
24
Let w = -2153 - -15024/7. Find the common denominator of (1 + 34/(-30))*-72 and w.
35
Let r be ((750/5)/(-5))/((-3)/(-2)). What is the smallest common multiple of 13 and -4*(75/r + 1)?
143
Let q(m) = -20*m**2 + 2*m - 1. Let i be q(1). Let x = i + 15. Let j = 20 + x. Calculate the smallest common multiple of j and 32.
32
Suppose 0 = 3*a - 15. Calculate the smallest common multiple of 9 and (180/8)/a*6.
27
Suppose 0 = 3*t + 147 - 39. What is the least common multiple of 20 and (-1)/(-6) - 714/t?
20
Let a be 7/(-7 + 49) - (-17)/6. Suppose -3*v - 2*v = -3*s + 80, -v - 64 = -a*s. Calculate the least common multiple of 40 and s.
40
Calculate the smallest common multiple of (-14)/49 - -2*(-87)/(-21) and 16.
16
Suppose -2*r - 2*r = -360. Let h = 285 + -285. Calculate the common denominator of 48/5 and 310/r + 0 + h.
45
Calculate the least common multiple of 44 and (-13)/(143/(-77)) - -3.
220
Let a(v) = -v**3 + 30*v**2 + 20. Calculate the least common multiple of 85 and a(30).
340
Let y = 113 + -109. Calculate the common denominator of (-14)/12*y/(-28)*19 and 5/24.
24
Let q = 112 + -110. Find the common denominator of 83/44 and (-13)/(-156)*(35 + q).
132
Let z = 1613 - 940. Let r = 20243/30 - z. Calculate the common denominator of -5/9 and r.
90
Let w(c) = -14*c + 1. What is the common denominator of w(-2) and 536/56 + -10 + 374/(-140) + -3?
10
Suppose 6*i + 80 = -88. Let y = -12 - i. Calculate the least common multiple of y and 3.
48
Let l = -3263/4 + 803. Suppose -5 = 5*s + 4*j - 14, -4 = -5*s + j. Calculate the common denominator of -3 + 1 + s - (-696)/(-192) and l.
8
Let m = 1570 - 17250/11. Let f = -7765/231 - -494/21. Let z = f + 10. What is the common denominator of m and z?
11
Find the common denominator of 7 - (4794/(-32))/(-17) and (-89)/22 + 2 + 0.
176
Let u = 35404 + -4956419/140. Calculate the common denominator of u and -21/200.
1400
Let n = -10 - -15. Let d = 15 - -15. Suppose 0 = -n*f + 8*f - d. Calculate the lowest common multiple of 10 and f.
10
Let l = -975/2 + 458. What is the common denominator of l and 41/50?
50
Suppose 2*g - 25*g + 552 = 0. Calculate the lowest common multiple of 136 and g.
408
Suppose -3*k + 4*k + 60 = 4*o, 4*o + 3*k - 76 = 0. Let b be ((-3)/9)/((-1)/(-9)). Calculate the least common multiple of 56/o - b/(-2) and 16.
16
Let l(w) = w**3 + 22*w**2 - 23*w + 70. Calculate the smallest common multiple of l(-23) and 160.
1120
Let q = -1409/4 - -355. Calculate the common denominator of -45/14 and q.
28
Suppose -3*k + 2*y + 70 = 2*k, 68 = 4*k - 4*y. What is the least common multiple of 12 and k?
12
Let i(v) = -6 - 8*v + 14*v - 3. Let j be i(14). Let p = 218/3 - j. What is the common denominator of -35/6 and p?
6
Suppose -8376 = -4*m + 3660. Let u = 30029/10 - m. Calculate the common denominator of u and -11/2.
10
Let g be 45 - ((-3)/(-3) - -2). Let h = -22 + g. What is the lowest common multiple of 1/4 - (-87)/4 and h?
220
Calculate the least common multiple of 12 and -2 + 5 - (-11 + 4/2).
12
Suppose -61*n + 7560 = -19*n. What is the smallest common multiple of 315 and n?
1260
Suppose -2*f + 2 = 8. Let o be 60/(-9) - 2/f. Let z = o + 15. Calculate the lowest common multiple of 5 and z.
45
Suppose 2*b + 117 + 69 = j, 4*b = 3*j - 564. What is the least common multiple of 4 and j?
192
Let j = 582/5 - 5151/40. Find the common denominator of -107/96 and j.
96
Let j be ((-456)/(-12))/((-280)/(-159)). Let p = j + 6/35. Find the common denominator of p and 81/4.
4
Suppose 5*p - 16 = -3*p. Calculate the smallest common multiple of 6 and p.
6
Let o = 104399/714 + -2427/17. Find the common denominator of -73/15 and o.
210
Calculate the common denominator of (11 + -5 + -5)*27 and -4 + 1 - (-235)/(-15).
3
Suppose 2*a + 4*a = 72. Find the common denominator of -43/6 and 638/58*((-22)/a + 1).
6
Suppose -a - 4*g - g = -765, -4*a + 3060 = 2*g. What is the common denominator of (1/3)/(348/a) and 113/6?
348
Suppose -20 - 121 = -3*d - 5*m, -5*d + 266 = -2*m. What is the common denominator of 2*7/(70/d) and -21/8?
40
Calculate the lowest common multiple of 147 and 232 + 3/9*-3.
1617
Suppose 3*q - 5*v = 6*q - 38493, 3*q - 38517 = 3*v. Let y = q + -231113/18. Find the common denominator of 11/20 and y.
180
Let h = 16839/4144 - 152/37. Calculate the common denominator of h and -29/28.
112
Suppose 2*q - 2*v - 674 = -3*q, 2*q - 5*v - 257 = 0. Calculate the least common multiple of q and 1.
136
Suppose 0 = -7*d - 68117 - 36498. Let u = -388521/26 - d. Calculate the common denominator of -81/8 and u.
104
Let t(k) = -62*k**3 - 4*k**2 - 4*k - 5. Let p be t(-4). Let v = -2807054/717 + p. Let q = v - 1451/12189. What is the common denominator of q and -5/6?
102
Let r = -8882 - -106645/12. Let d = -234 - -152. What is the common denominator of (-2 + d/(-20))*-3 and r?
60
Let l(b) = -11*b**2 + 154*b + 9. Calculate the lowest common multiple of 141 and l(14).
423
Let k(l) = 3*l**2 - 32*l + 13. Let q be k(10). Let w = -12 + 24. Calculate the common denominator of -149/6 and 14/q*11/w.
6
Suppose 2*q = 5*a - 519, 0*a - 5*a - 2*q + 531 = 0. What is the lowest common multiple of (a/5)/3 - 2 and 6?
30
What is the common denominator of 86/465 and (-4)/(-34) + -3 + (-5240)/(-1122)?
5115
Let h(u) be the first derivative of -u**4/4 - 8*u**3/3 + 2*u**2 + 2*u - 1. Let z be h(-9). Let b = z + -27. Calculate the smallest common multiple of b and 22.
220
Suppose -13*l = -3*u - 16*l + 42, -l = 3*u - 42. Let p be 3/((-5)/(140/(-6))). Suppose 4*r - p - 10 = 0. Calculate the least common multiple of r and u.
42
Let w be (-8)/16 - (-17)/2. Let n = -4 + w. What is the lowest common multiple of n and 4?
4
Let s = -4003 + 56121/14. Calculate the common denominator of s and 1 + 10/(-8) + (-2550)/(-952).
14
Suppose -j = 85*q - 87*q - 24, 3*j - 2*q = 68. Calculate the least common multiple of j and 74.
814
Let v = 4628 + -92527/20. Let f(u) = 322*u + 9. Let h be f(-7). Let g = h - -4573/2. What is the common denominator of v and g?
20
Suppose -4*v + 4*p - 24 = -5*v, 5*p = 15. Suppose 10*g - v*g + 48 = 0. What is the least common multiple of g and 12?
24
Let t(y) = 2*y**3 - 3*y**2 - 2*y + 4. Let b be t(2). Calculate the common denominator of -83/36 and ((-4186)/120)/(-13) + b/24.
180
Suppose 6*b - 7*b + 7 = 0. Let m = 3589/7 - 54374/105. Calculate the common denominator of b*((-45)/(-6))/5 and m.
30
Suppose 3*z - 22 = 2*z. Suppose -99*y = -100*y + 4. What is the smallest common multiple of z and y?
44
Let i = -1059763/2 - -512767. Let h = -17563 - i. Let u = -398 - h. Calculate the common denominator of u and 49/9.
18
Suppose o + 44 = -2*l - 43, 4*l = 2*o - 178. Let t = l - -22. Find the common denominator of 89/20 and -1*(t/(-4) + 0).
20
Suppose -3*d + 280 = -83. Suppose 2*w - l - d = -3*w, -2*w + 49 = -l. Calculate the least common multiple of w and 21.
168
Let l(d) = 37*d + 3. Let c be l(-5). Let k = 2364 - 