Calculate the common denominator of 53/3 and (k/30)/(24/(-20)).
18
Let n(g) = g**2 + 13*g - 20. Calculate the smallest common multiple of 28 and n(-16).
28
Suppose 4*y + 0*g + g - 9 = 0, g - 12 = -5*y. Suppose -3*w = y*z + 9, w + 4*w + 15 = -z. What is the smallest common multiple of 26 and (2 + -5)*22/w?
286
Let l(q) = 3 + 2*q**2 + 5*q**2 - 2*q**2 + q**3 - 2*q**2. Let d be l(-4). Let m = 16 + d. What is the least common multiple of 1 and m?
3
Let t = -151639089 - -1128070023189757/7439177. Let v = t + -757762008637/446350620. Let b = -5104/3 - v. What is the common denominator of b and -17/6?
60
Let h = 8 + -8. Suppose h*v + 3*v + 2*c - 34 = 0, 0 = -3*v + 2*c + 14. Let y = 38 + -16. What is the smallest common multiple of y and v?
88
Find the common denominator of (-15)/(-36)*(406/40 - -2) and -37/76.
304
Suppose -n + 3*y - 41 = -2*n, -81 = -2*n - 5*y. Let o = n - 36. Calculate the least common multiple of 12 and o.
12
Let j = -2639029/27960218 + -2/97763. Let f = j - -12943/2288. Calculate the common denominator of -59/2 and f.
16
Let q(m) = -m**2 - 10*m + 2. Let c be q(-10). What is the common denominator of (-104 - 14)*(-2)/56 and (c/28)/(8/824)?
14
Suppose 7*c - 2*c - 30 = 0. What is the lowest common multiple of (-904)/(-28) - 2/7 and c?
96
Let w = -12643/6860 - -1/6860. What is the common denominator of 7*(-1 - (-6)/4) and w?
70
Let j(f) = -14*f. Let x(h) = -2*h**2 - 11*h - 3. Let i be x(-5). What is the smallest common multiple of (-35 + -1)*(-1)/i and j(-1)?
126
Let v(f) = -f - 3. Let p be v(-5). What is the lowest common multiple of 13 and (-2)/(3/(-21)*p)?
91
Let s(t) = -3*t**2 - 17*t + 37. What is the least common multiple of 12 and s(-6)?
372
Calculate the common denominator of 1/66 and 471/51*((-3)/18)/1.
1122
Let s = 644507/3580284 + -3/15703. Calculate the common denominator of 101/48 and s.
912
Let y = 11 - 8. What is the common denominator of -1 + (-428)/(-192)*y and -83/14?
112
What is the common denominator of (-175)/(-363) - 9/((-270)/(-25)) and -33/16?
1936
Let p be (1 - 2)*5/5. What is the common denominator of ((-68)/88)/(p/(-5)) and 1160/(-18)*3/8?
66
Let d(m) = -m**2 + 29*m - 10. What is the lowest common multiple of d(6) and 17?
2176
Let x = 67 - 93. Let u = x + 32. Calculate the lowest common multiple of 42 and u.
42
Let l be (6/4)/(15/(-90)). Let i(w) = -w**2 - 10*w - 4. Let z = 26 - 16. What is the lowest common multiple of i(l) and z?
10
Let o be (-2378)/(-30) + (-1)/(-3). Let p = o + -80. Let s = p + 7/55. Find the common denominator of 40 and s.
11
Let m be (-17 + 15)*(-145)/(-2). Calculate the smallest common multiple of 21 and m/(-6) + (-5)/90*3.
168
Let i be (-238)/(-6) + (-5)/(-15). Let a = i - 13. What is the least common multiple of a and 3?
27
Let j = -184931/16 - -11554. What is the common denominator of j and (-916)/72 + 3 + 2?
144
Suppose j + 20 = 5*x, j = 2*x - 0*x - 26. Let s = -476145/28 - -17002. What is the common denominator of 115/j*(-9)/(-10) and s?
140
Suppose 3*w + 53 = 173. What is the smallest common multiple of w and 8?
40
Let t be 3 - (2 - (2 - -5)). Let v = 12 - t. What is the least common multiple of v and (-50)/(-8) - (-14)/(-56)?
12
Let z(d) = d**2 - 9*d - 16. Let v be z(10). What is the common denominator of 59/34 and (-4)/v*(-148)/4?
102
Let v = -357197/8 - -44348. Let r = v + 302. Calculate the common denominator of 143/30 and r.
120
Let g(y) = 35*y - 7. Let x be -2 + 5*4/(-4). Let j be g(x). Calculate the common denominator of (-2925)/j*(-2)/(-5) and -139/18.
126
Let h(f) = f**3 - 3*f**2 - 6*f + 8. Let q be h(4). Suppose 2*c - 32 = -q*c + 4*u, 2*u = 5*c - 40. Calculate the lowest common multiple of c and 2.
6
Calculate the common denominator of 51/350 and (-78)/(-15)*(-2 + 15/7).
350
Let r(l) = l**2 + l - 2. Let a be r(1). Suppose 4*x - 96 = -24. Suppose a = d - 6*y + 2*y - x, -4*y + 54 = 3*d. Calculate the lowest common multiple of d and 2.
18
Let q(d) = 5*d - 1. What is the smallest common multiple of (-4)/((-12)/105)*(-12)/(-6) and q(3)?
70
Let d be ((-66)/(-77))/(0 + (-1)/14). Let z = d - -22. Calculate the lowest common multiple of 2 and z.
10
Suppose -12*l = -8*l - 32. Let v(a) = -11*a - 3. Let q(h) = -h - 1. Let s(p) = 6*q(p) - v(p). Calculate the least common multiple of l and s(5).
88
Let p = -8305/14 - -595. Calculate the common denominator of 172/20 + (-3 - -5) and p.
70
Let d(c) = 2*c**2 + 3*c + 10. Calculate the least common multiple of d(0) and 54.
270
Let a = -37 + 45. Let c = -25 + 24. Let g = c - -4. What is the lowest common multiple of g and a?
24
Let k = 2/61729 - 5247013/1481496. Let f = 73 - 118. Find the common denominator of (42/(-20))/(3/f) and k.
24
Let r = -59587/18 - -3306. Find the common denominator of r and -32/19.
342
Calculate the common denominator of 6 - (-118)/(-4) - 4 and -95/12.
12
Suppose 3*b - 2*u - 8 = 0, 2*u - 4 = -3*b - 0. Find the common denominator of (-111)/b + 2 + -2 + 5 and 65/16.
16
Let n = -1/1120 - -75049/10080. Calculate the common denominator of n and 137/12.
36
Let g = -12901 - -3057526/237. Calculate the common denominator of -19/27 and g.
2133
Let g = -1608 + 1610. Let b(h) = h**3 + 5*h**2 - 3*h + 7. What is the smallest common multiple of b(-5) and g?
22
Suppose -22 = -i - 4*p, 22 - 30 = -4*p. Calculate the least common multiple of 56 and i.
56
Let m = 6 + -5. Let i(g) = 86*g. Let n be i(m). Find the common denominator of (n/16)/(5/2) and 99/2.
20
Suppose -j - 3*y = -9, 3*y = 9 - 0. Suppose j = 2*d + 3*p - 20, -5*d = -d - 3*p - 58. Let t = d + -1. What is the lowest common multiple of 2 and t?
12
Let d = -3277 - -36075/11. Calculate the common denominator of d and 77/172.
1892
Let d(a) = 9*a**2 - 8*a - 7. Let i(b) = -b**2 - 10*b - 9. What is the least common multiple of d(-1) and i(-8)?
70
Let f(s) = -21*s**2 - 3*s**3 - 22*s + 329 - 349 + 2*s**3. Calculate the least common multiple of 1 and f(-20).
20
Let x(v) = -v**3 - 10*v**2 - v - 8. Let g be x(-10). What is the lowest common multiple of 8/(g/(-4) - -1) and 4/(-2)*(3 - 13)?
80
Suppose 15*r - 2301 = 14*r. Let l be 6*r/32*18. Let a = -7755 + l. Calculate the common denominator of -7/10 and a.
40
Let a = 125 - 87. What is the least common multiple of a and 22?
418
Let r = 59 + -57. Suppose 6 = 2*n, n + r*n - 90 = -3*d. Calculate the least common multiple of d and 33.
297
Suppose -7*z = -10*z + 66. Let k(t) = 2*t - 6. Calculate the least common multiple of k(7) and z.
88
Suppose 3*c = -9 + 15. Suppose 0*q = c*q - 32. Find the common denominator of 18 and (-2)/q + (-7497)/(-1768).
26
Let z = -11925 + 691677/58. What is the common denominator of -53/6 and z?
174
Let f = 26 - -12. Suppose 17 = 4*m - 15. Calculate the lowest common multiple of f and m.
152
Let c = -2573/2 + 5145/4. What is the common denominator of 30/(-7)*(-8)/(-5) and c?
28
What is the common denominator of -129/440 and (47102/1936 - 24)/(2/6)?
440
Let q = -193 + 228. Calculate the lowest common multiple of q and 1.
35
Calculate the common denominator of 29/96 and (-1)/(-8)*195/(-60)*3.
96
Suppose 5*h - 129 = 111. What is the lowest common multiple of 48 and h?
48
Let a(h) = 4*h + 32. Calculate the smallest common multiple of 3 and a(22).
120
Suppose 133098816 = 4*y - z + 5*z, -4*y - 3*z + 133098819 = 0. Let h = y - 865251871/26. Let q = h + 4210. What is the common denominator of -101/16 and q?
208
Let w be (0 - 3)*14/21. Let b = w + 11. Suppose -2*k = -2*f + k + 8, 0 = 2*k - 8. Calculate the smallest common multiple of f and b.
90
Let o = -83 + 69. What is the least common multiple of 18 and 4/o - 288/(-28)?
90
Let g = -49697/11466 - -36/637. Find the common denominator of g and -13/514.
4626
Let g be (-48)/(-18) + (-2)/3. Suppose -2*w = 5*t + 8, 5*w + 3 + 17 = g*t. Suppose -l + t*l + 3 = 0. Calculate the least common multiple of 11 and l.
33
Let a = -8/1585 - 172717/9510. What is the common denominator of a and 91/50?
150
Suppose 377 = -6*i + 443. Calculate the least common multiple of 165 and i.
165
Let t = 3495 + -251665/72. Find the common denominator of t and 92/15.
360
What is the lowest common multiple of 220 and 2*(-2)/14 + 32/14?
220
Let w(x) = -2*x**3 + x - 6. What is the lowest common multiple of w(-2) and 1154?
4616
Suppose 12*j - 1 = 107. Let r = 11 - -4. What is the smallest common multipl