c = -126 + 130. What is the common denominator of (-1 + 3)*(76/(-64) - c) and 27/4?
8
Let n(r) = -7*r**3 - 173*r**2 + 49*r - 21. Let u be n(-25). Let c = 9 - 0. Suppose -u*w - 5*w = -c. Calculate the lowest common multiple of w and 43.
43
Let l = -1527/10 + 24537/160. What is the common denominator of l and -49/16?
32
What is the common denominator of 16/2 + (-30225)/3870 and 107/602?
1806
Suppose 0 = -4*z + 20, 0 = -4*v + 4*z - 25 + 9. Find the common denominator of -2 + (v*-5 - (-854)/147) and 73/42.
42
Suppose -11 = -6*i + 13. Find the common denominator of (i + -5)/((372/(-172))/3) and -32/5.
155
Calculate the common denominator of (-7 + 39807/2502 - 1) + -8 and -11/36.
5004
Suppose 0 = -5*r + 6*r - 3. Suppose 8 = -2*y, -y = -r*i - i + 92. Let b = i - -4. What is the smallest common multiple of b and 22?
286
Suppose 0 = 3*t + 339 - 363. Suppose 150 - 42 = 3*r. What is the least common multiple of t and r?
72
Let z(x) = 2*x**2 - 14*x - 216. What is the least common multiple of z(-9) and 288?
288
Suppose 2*c = -2*c - 308. Let b(s) = -69*s - 241. Let i be b(-3). Let h = i - c. Calculate the least common multiple of h and 8.
344
Let u = 12843885/164 + -78316. What is the common denominator of (-22)/((-1232)/540) - 9 and u?
1148
Let o be (5336/9)/8 - -5. Let n = -2521/36 + o. Calculate the common denominator of -7/40 and n.
120
Let t be (2 - 1) + -12 + -2 + -5. Suppose 0*c = -c + 45. What is the lowest common multiple of 5 and t/c + 77/5?
15
Suppose -5*h + 4*u + 132 = 0, 809*h - 814*h + 167 = u. Calculate the least common multiple of h and 1096.
4384
Suppose 3*l - 3*s = -93, 0*l + 2*s - 36 = l. Let z = -833 - -9973/12. Find the common denominator of l and z.
12
Let k(m) = m - 12. Suppose 47*b - 16 = 45*b. Let z be k(b). What is the lowest common multiple of (5/10)/(2/z) + 15 and 8?
56
Suppose -4*f + 9*t + 564 = 0, 0 = f - 447*t + 442*t - 152. What is the least common multiple of f and 154?
924
Let k = -246 - -238. Calculate the common denominator of 131/114 and (-1446)/(-216) + 6/k.
342
Let l = -34763/23 + 1512. Suppose 4*h - o = -3971, 4*h + o + 3965 = -0*o. What is the common denominator of l and ((-3)/(-12))/((-12)/h)?
69
Let y = 1084571/124 - 272937425/2356. Let l = 107280 + y. Let w = -72836/399 + l. Calculate the common denominator of -13/21 and w.
21
Suppose 8*n = 3*n + 30. Let i be 4 + (-3 - 2/2). Suppose i = 3*y + 3, -2*g + 34 + 39 = -y. What is the smallest common multiple of g and n?
36
Let g = 71 + -64. Suppose 2*p - 6 = 0, 24 = 3*o - g*p + 5*p. Calculate the least common multiple of o and 12.
60
Let t = -6 + 9. Suppose 2*a + s - 73 - 92 = 0, t*a - 265 = -5*s. Let z = 28617 + -28605. Calculate the least common multiple of a and z.
240
Suppose -8*z - 1475 = -155. What is the common denominator of (-29)/(-145) - (-398)/z and 88/147?
1617
Let l = 130 + -26. Let s = 259859 + -259847. Calculate the least common multiple of s and l.
312
Let g be ((-1623447)/13362)/3 - 2. Let k = g - 2/2227. Find the common denominator of ((-1)/(1/158))/(13 - 25) and k.
6
Let g be (-3 + 1)/(1/128). Find the common denominator of 3/2 + 248/g and 2/10*37/(-24)*-3.
160
Suppose 5*s + 0*s - 4*m - 1168 = 0, 3*s = 4*m + 704. Calculate the smallest common multiple of 24 and s.
696
Suppose -s = 2, 5*s + 10 = 3*h - 6. Calculate the least common multiple of h and (-4 + 22)*(-2)/(-9).
4
Let q = 34/125 - 6487/2250. Find the common denominator of q and 0 + (-37)/24 + -46 + 43.
72
Let c = -36/197 + -16669/4728. Calculate the common denominator of c and 37/24.
24
Let h(g) = 164*g - 299. Calculate the least common multiple of 54 and h(16).
41850
Let t = -4482 - -4526. What is the smallest common multiple of 4/(-5)*95/(-38) and t?
44
Suppose 9*j - 390 = 384. Calculate the lowest common multiple of 9 and 9847/j - (-2)/(-4).
342
Let j(t) = t**2 - 3*t - 46. Let o be j(-10). Calculate the common denominator of 55/39 and 2/(-126)*-37 + o/294.
819
Let s = 4447 - 48875/11. Calculate the common denominator of s and 15/322.
3542
Let p be 6 - 5 - (-9 + 3) - 0. Suppose -6*h + 19 = p. What is the least common multiple of h and 74/10 + 8/(-20)?
14
Suppose -5*x + 3*l - 80 = 0, 3*x - 6*x - l = 48. Find the common denominator of ((-20)/x - -1) + 3 and 2/3.
12
Let a = -14759 - -16397. What is the least common multiple of a and 208?
13104
Suppose -4*l = 4*g - 9396, -g + 6*g + 2*l = 11748. Let t = g - 1653. Calculate the least common multiple of t and 10.
6970
Let p be -16 + -3*(-2)/(-6). Let i = -43 - -50. Calculate the lowest common multiple of i and 5/(20/8) - p.
133
Calculate the common denominator of (-854)/(-56) + 12 + -15 and (-3)/6 + (-39)/(-12).
4
Let l = -388 - -389. Suppose 2*s - 53 = m - 4*m, 0 = -5*m - s + 100. Calculate the lowest common multiple of m and (160/10 - 11) + l/1.
42
Let t(w) = -w**3 + 11*w - w**2 + 2*w**3 - 1 + 6*w**2 + 3*w**2. What is the lowest common multiple of 97 and t(-6)?
485
Let c = 9 + -30. Let z(s) = -2*s**2 - 44*s - 22. Suppose 2*u - 2*a - 25 + 3 = 0, -43 = -3*u + a. What is the lowest common multiple of u and z(c)?
80
Let k be 6 + (-5 - 4/(-2)). Let l(p) = 2*p - 3. Let b be l(k). Calculate the lowest common multiple of 3 and 32 - b - (-1)/(4/12).
96
Suppose 0 = -w - 18 + 8. Find the common denominator of (6*5/w)/(7/(-6)) and 65/9.
63
Let s be 9/(-96)*1605349700/2325. Let i = -64732 - s. Calculate the common denominator of i and -17/18.
2232
Let x = 149 - 133. Let y = x - 15. Let f(k) = k**2 - 2*k + 2. Calculate the lowest common multiple of f(3) and y.
5
Suppose -w + 3*l + 45 = 0, -2*l = 11*w - 7*w - 110. Suppose 9*g + 11 - 155 = 0. Calculate the lowest common multiple of g and w.
240
Let w = -37 - -56. Suppose 17 + w = 6*g. Let r(b) = -b**2 + b + 3. Calculate the lowest common multiple of g and r(0).
6
Let w(b) = -56*b**2 + 7*b - 20. Let v(c) = -18*c**2 + 3*c - 7. Let r(z) = 11*v(z) - 4*w(z). What is the least common multiple of r(-1) and 66?
264
Let x be 1/(-5) + ((-48)/(-15) - 1). Suppose -4*f + 2*m = 1 - 39, -x*m - 28 = -3*f. Suppose 14 = 3*d - f. What is the lowest common multiple of d and 20?
40
Let o = 21 + -22. Let v be o/1 - -11*(3 + -4). What is the common denominator of 31/7 and (v/30)/(12/(-615))?
14
Let k = -3147/7 + 447. Let z be 2*(-548)/16*(-5)/(-140). Let r = z + -33/28. Calculate the common denominator of r and k.
56
Let j = 53339 - 5600684/105. What is the common denominator of -14/25 and j?
525
Let k = -15797701037/28730 + 9347619/17. Let a = 12/169 - k. Find the common denominator of a and 31/25.
50
Let k(d) = -d**3 - 15*d**2 + 82*d - 189. What is the least common multiple of k(-23) and 21?
15099
Let c = -2229 - -2757. Calculate the lowest common multiple of c and 40.
2640
Let q = 196927745/733 - 268660. Let x = -72995/70368 - q. What is the common denominator of x and 97/14?
672
Let s = -403 - -426. Suppose 21*d - s*d = -88. What is the lowest common multiple of 20 and d?
220
Let b be (-2 + -1)*6/(-6). Let z be -210*4*b/48. Let n = -60 - z. Find the common denominator of 101/8 and n.
8
Let h(n) be the second derivative of 7*n**3/6 + 217*n**2/2 - 226*n. Calculate the lowest common multiple of 36 and h(-25).
252
Let u = 18045 - 432931/24. Let d(q) = q**2 - 14*q + 25. Let b be d(12). Find the common denominator of u and 12/32*19 + b.
24
Suppose -33*z + 10*z - 34*z + 1368 = 0. Suppose 5*k + 16 = 61. What is the least common multiple of k and z?
72
Suppose -2*g + 5*p + 19 + 45 = 0, 2*g - 3*p - 56 = 0. Calculate the least common multiple of 556 and g.
6116
What is the smallest common multiple of 1050 and (4 + -2)*960 - (28/(-14) + -3)?
11550
Suppose -2*b - 2 = 0, 4*b = 2*r - 51 - 129. Calculate the lowest common multiple of r and 1232.
1232
Let h = -3553/168 + 407/24. Let l = -1402537/279 - -5027. What is the common denominator of l and h?
1953
Let y = -2016385/54 + 37343. Let v = 2441858/1259049 + -2/38153. What is the common denominator of y and v?
594
Let k = -25960 + 2699945/104. Let n = -1741/32 + -5/224. Let v = n - -1615/28. Calculate the common denominator of k and v.
104
Let d = -213662539175 + 989684877620923/4632. Let g = -11135/193 + d. Let c = g + 883. Calculate the common denominator of c and 4/21.
168
What is the common denominator of -173/360 and (1452/(-880))/(42/(-45) + 0)?
2520
Suppose -67*f = -70*f - 3*q + 5151, -