3*i - 2 = 0. Suppose 5*a - 15 = -0*a. What is the smallest common multiple of 15 - 0/(t + 5/(-5)) and a?
15
Suppose 11*p - 816 + 231 = 471. What is the lowest common multiple of 164 and p?
3936
Suppose -9 = -3*v, 5*v - 23 = -3*g + 7. Suppose -h + 2*h + 16 = i, 2*i = g*h + 23. Suppose -r = 8 - i. Calculate the smallest common multiple of r and 4.
44
Find the common denominator of -59/672 and -10 + (1 - 4 - (-40329)/3168).
7392
Let r(p) = p**2 - 15*p - 20. Let u = -121 + 137. Let w be r(u). Calculate the common denominator of -4/133 and (-12)/(-8) - (-79)/w.
532
Let a be -34*(-230)/16 + (-24)/(-32). Let x(y) = 16*y**2 + 13*y + 6. Let h be x(-6). Let d = h - a. What is the common denominator of d and -71/4?
4
Suppose 0 = 10*c - 280219 + 241999. What is the least common multiple of c and 546?
3822
Find the common denominator of -115/228 and 1*(-12)/90*(-5265)/(-4560).
2280
Suppose r + 2*q - 80 = -2*q, -2*r = q - 153. Suppose 81 - r = f. Suppose f*w - 50 = 5*y - 10, 3*w + 16 = -5*y. What is the lowest common multiple of 19 and w?
57
Let r(u) = -5*u + 3. Let o be r(-2). Let y be (-1)/3 + (-50)/3. Let f = o - y. Calculate the smallest common multiple of 15 and f.
30
Let f = 117235/3484 + -2346/67. Find the common denominator of f and -133/96.
1248
Let y be -2 - (-1 + (-56915)/7398). Let t = y - 610/137. Find the common denominator of t and -77/90.
270
Let s = -508 + 510. What is the smallest common multiple of 44 and s/11 - 2658/(-22)?
484
Let b be 7 + (3 - (271 - -5)). Let m = b + 268. What is the smallest common multiple of m and 112?
112
Let i(k) = 2*k**2 + 110*k + 5. Let y be i(0). Suppose 2*u = t - u, 4*t - 4*u = 0. Suppose t*j = y*j - 10. What is the lowest common multiple of 8 and j?
8
Calculate the common denominator of 470/(-945)*(345/(-36) + 9) and -2/11.
1782
Let r be (0 + 35)*(-10)/(-7). Let f(b) = -2*b**2 - 28*b + 4. Let j be f(-14). Suppose r = j*p + p. What is the least common multiple of p and 19?
190
Let t = -91319/525168 + 1/3647. Find the common denominator of t and -43/216.
432
Suppose -3545 - 100 = 2*y - 3*x, x = 5*y + 9145. Find the common denominator of (-62)/8*2/(-26) and ((-2)/10)/((-96)/y).
208
Let v be 16 + 80/(-4) - (-1 - -1064). Calculate the common denominator of -1/294 and (-470)/(-528) + 194/v.
1176
What is the smallest common multiple of 12 + 7864/(-10)*(-350)/140 and 138?
5934
Suppose -4*v = -3831 + 663. Let f = 808 - v. What is the least common multiple of 80 and f?
80
Let p = -56477336744788058/1232725 - -595595430099/13. Let f = p + 1737/25. Let j = f + -322401/7586. Calculate the common denominator of j and 9/11.
22
Let u(q) be the first derivative of -q**3/3 + 10*q**2 + 50*q - 12. Let i = 10 - 4. What is the lowest common multiple of u(22) and i?
6
Let k(y) = -2*y**3 - 47*y**2 - 25*y - 4. Suppose 3*f - 36*f = 759. What is the least common multiple of 18 and k(f)?
126
Suppose 0*f = -3*f + 6. Let t(z) = -z**3 + 8*z**2 + 6*z - 49. Let s be t(8). Calculate the smallest common multiple of f and (s - -8) + (12/(-3) - -1).
4
Suppose -15*k - 22 = 8. Calculate the lowest common multiple of 63 and (-1)/k*(129 - 33).
1008
Let f be (-3 - 0) + 182 - -1. Let t = -133 + f. Let h = t + -41. What is the smallest common multiple of 27 and h?
54
Let o be 5 + -6 + (157 - 4). Let i = o - 151. What is the smallest common multiple of i and 136?
136
Let m = 323 + -303. What is the lowest common multiple of m and 135?
540
Suppose 0 = -5*a + 5459 - 8679. Calculate the common denominator of (-4)/(-14) - 1833/168 and (-5)/(315/a)*9/(-48).
24
Let r be (20/(-15) - 0)/((-8)/1092). What is the common denominator of 30/(-16) + 1/(-2) and (147/4)/(3549/r)?
104
Let y = 7457 - 7139. What is the least common multiple of 42 and y?
2226
Suppose 0 = -4*t - 5*y + 14946 - 5336, 2*t - 4808 = -4*y. What is the least common multiple of t and 300?
2400
Suppose -5*f - i + 80 = -3*i, 2*f + 3*i - 13 = 0. Let c(v) be the first derivative of -3*v**2/2 - 10*v - 56. What is the least common multiple of f and c(-4)?
14
Let p = 1759/71 + -7/284. Let j = -149693/320835 - 2/21389. Find the common denominator of j and p.
60
Let t(d) be the second derivative of 19*d**3/2 - 19*d**2/2 + 2*d + 11. Let w = 6 + 4. What is the lowest common multiple of t(1) and w?
190
Suppose 1632 = -5*s + 17*s. Find the common denominator of (-834)/400 + (-17)/(s/3) and 29/85.
850
Suppose -814*k + 796*k + 46584 = 0. Calculate the least common multiple of k and 16.
10352
Let n(l) = 8*l + 227. Let p be n(-29). Calculate the common denominator of -65/9 and ((-2)/66)/(p - (-1985)/420).
2277
Let u = 11493525/4 + -69221285/24. Let h = -10843 - u. Calculate the common denominator of h and -47/3.
24
Let q = -762/73 + 3591/365. Find the common denominator of 56/1573 and q.
7865
Suppose 129 = 6*u - 3*u + y, 0 = 3*y - 9. Let n = 199767 + -199745. What is the smallest common multiple of n and u?
462
Let c(u) = -u**2 - 36*u + 182. Let y(x) = x**2 + 35*x - 182. Let w(p) = 4*c(p) + 5*y(p). What is the least common multiple of w(6) and 132?
1320
Let c = 11437225/96 - 119139. What is the common denominator of c and 11/324?
2592
Let g(n) = -35*n**2 + 24*n + 7. Let o be g(16). Let p = 137051/16 + o. Let m = -1/491 + -27979/3928. Calculate the common denominator of m and p.
16
Suppose -21 = 6*w + w. Find the common denominator of 55/48 and (((-282)/12)/((-9)/w))/6.
144
Let q(x) = -3*x**2 + 3*x - 3. Let o be q(4). Let n = -37 - o. Let g = 63 - 59. What is the smallest common multiple of n and g?
4
Let w(u) = 4*u**3 + 9*u**2 - 96*u - 6. What is the smallest common multiple of 845 and w(-6)?
5070
Let q = 71970 + -4965986/69. Let d = -17034 - -1022003/60. What is the common denominator of d and q?
1380
Let q = 593 - 668. What is the common denominator of -49/44 and ((-558)/q)/(5 - 45/25)?
440
Let v = -491 - -8348/17. Let q = 77/153 - v. Find the common denominator of -5/27 and q.
27
Let q = 1335/77 + -1/231. Let z = -1859 - -630203/339. Let s = -3953/339 - z. Find the common denominator of s and q.
3
Let r = 42 + -45. What is the common denominator of 113/50 and (-1 - (r + -2))*17/30?
150
Let g = -96458937/1096 + 88010. What is the common denominator of 19/20 and g?
5480
Let t be 8/(-10)*(-10)/(-4). Let a be (1 + -3)/(t/6). Suppose a*j + 0*j = 6. What is the least common multiple of j and 9?
9
Let t = 715 + -699. Suppose z - 3*z - 8 = 0. What is the smallest common multiple of t and z + 6 + 2 + 10?
112
Let s(o) = 11*o**2 - 187*o - 1520. Calculate the least common multiple of s(-9) and 4.
2108
Let w = -5807 - -5825. What is the lowest common multiple of 423 and w?
846
Let h = -241/43 - -273449/48805. Let i = -2047/2270 - h. Let a = -77/5 - i. What is the common denominator of 30 and a?
2
Find the common denominator of -5/456 and (16/504)/((-57)/(-56)).
4104
Let y = 471600565/1066 + -442402. What is the common denominator of y and -70/117?
9594
Let t(o) = o**2 - 130. Let y(u) = u**2 + 2*u - 129. Let z(n) = -2*t(n) + 3*y(n). Calculate the least common multiple of 35 and z(-17).
420
Let s = -5 + 13. Suppose -s*f - 176 - 272 = 0. What is the least common multiple of ((-96)/f)/((-2)/(-7)) and 4?
12
Suppose -y - 26 + 71 = 4*y. Suppose 4*p + 2*d = 66, -2*p + 3*d + 27 = -p. What is the smallest common multiple of y and p?
18
Let p(i) = 1592*i + 15922. Calculate the smallest common multiple of p(-10) and 1864.
1864
Suppose 3*u - 7*u - 96 = 0. Find the common denominator of (-2)/(-8) - (-338)/u and (5/(-70)*4 + (-25788)/1323)/4.
18
What is the common denominator of ((-132)/178)/(2140/(-107)) and -13/15?
2670
Suppose -5*l + 40 = 2*o, -2*o - o = -3*l - 81. Let r = o + -14. Suppose 4*b - 4*x = 9*b, 5*b + 2*x = 10. What is the least common multiple of b and r?
44
Let y = -231 - -269. What is the common denominator of 25/72 and (-3486)/(-9120) + 4/y?
720
Suppose -5*k + 264 + 1306 = -5*z, 3*k - 2*z = 937. What is the smallest common multiple of k and 18?
1854
Let w(u) = -11*u. Suppose 22*h = 222 + 438. Suppose h*p = 170 + 370. What is the smallest common multiple of w(-1) and p?
198
Let d = 0 - -7. Let q(u) = 8*u - 149. Let v be q(19). Suppose 4*x = -3*i + 14, -27 + 33 = v*i. Calculate the lowest common multiple of x and d.
14
Let o = 57 + 27. Calculate the smallest common multiple of (-6)/((o/(-16))/7) and ((-30)/(-5))/((-9)/