Suppose -2*m = m - 12. Let u(h) = 8*h + 1. Let x be u(m). Calculate the common denominator of -47/18 and 31*(-3)/(x - 3).
90
Find the common denominator of 73/(-8)*-4*(-2)/30 and 67/20.
60
Suppose 6*r - r - 30 = 0. What is the common denominator of r/(-10) + (-24)/(-9) and 101/30?
30
Let a(c) = c**3 + 12*c**2 + 9*c + 2. Suppose 31*p - 41*p + 240 = 0. What is the smallest common multiple of a(-11) and p?
24
Suppose -5*a + 25 = 0, 128 = 4*n - 2*a + 34. Let x = 4539 + -4535. What is the least common multiple of x and n?
52
Let j = -2401 + 2621. Calculate the lowest common multiple of j and 70.
1540
Let k(y) = -y**3 - y - 3. Calculate the smallest common multiple of k(-5) and 2.
254
Let n be -1 - (-37 - (0 - 3)). Let s be 1/(n/12 + -3). What is the smallest common multiple of 4 and (-92)/(-5) + s/10?
36
Let y = 280 + -176682/631. Let l = y + -4377/12620. Calculate the common denominator of 29/11 and l.
220
Let i = -47 + 55. Suppose 0 = k - 3*k + i. What is the lowest common multiple of k and 10?
20
Let b(z) = z**2 + 14*z - 1. Let h(d) = -2*d**2 - 14*d + 2. Let g(s) = 3*b(s) + 2*h(s). What is the smallest common multiple of 11 and g(14)?
11
Let z be (-56)/(-12) - 2/3. Suppose z*i - 12 = 3*i. What is the common denominator of (-9 + i)*(-38)/(-15) and 43/7?
35
Let y(f) = f**2 - 7*f - 21. Let k be y(9). Let s be k/(-4)*5780/90. Let p = 48 - s. What is the common denominator of -4/3 and p?
6
Calculate the common denominator of -2*(-137)/40 + -1 and (10881/990 + -11)*-103.
220
Let c = -53 - -31. Let n = 40 + c. What is the smallest common multiple of 20 and n?
180
Suppose 4*s - 16 = -72. Let p = -1 - s. Suppose 5*b - p = -3. Calculate the lowest common multiple of 24 and b.
24
Let i(y) = 44*y. Let d be i(-2). Let w be (206/(-8))/(11/d). What is the common denominator of 6/4*w/54 and -113/14?
126
Suppose 4*a + i = 61, 4*a - 58 = -5*i + 23. Suppose -a*t + 12*t = -14. What is the least common multiple of t and 5?
35
Let p = 78381 + -19673597/251. Let h = p + 17656/6777. Calculate the common denominator of h and -14/27.
27
Let g = -8/545 + -22089/17440. Calculate the common denominator of 19/20 and g.
160
Let v = 5 - 2. Suppose 4*m - 5*m - v = 0. What is the lowest common multiple of 38*m/(-6) + -3 and 6?
48
Let b(q) = -15*q**3 + q**2. Let n(l) be the third derivative of l**5/60 - 3*l**4/8 - 8*l**3/3 + 4*l**2. What is the smallest common multiple of b(-1) and n(11)?
48
Find the common denominator of 9/874 and ((-54)/(-8) + -11)*(-2)/(-8).
6992
Let s be (-1)/3 + 17980059/(-504). Let k = s + 35677. What is the common denominator of k and -139/18?
504
Let k(d) = -d**2 + 8*d + 6. Let m be k(9). Let y = -2565 - -10315/4. Find the common denominator of y and 1 + m - (-291)/102.
68
Let g(y) = 2*y + 18. Let n be g(-19). What is the common denominator of (-1725)/(-10)*(-1)/n and -25/32?
32
Suppose 3*f = 4*u - 825, -4*f + 20 + 0 = 0. Calculate the lowest common multiple of 126 and u.
630
What is the common denominator of -101/12 and 588/(-420)*(-190)/36?
36
Let a = -22 + 13. Calculate the least common multiple of 7 and (-24)/a*(3 + 9/12).
70
Let k(i) = i**2 + 18*i - 16. Let b = -53 + 34. Calculate the least common multiple of k(b) and 7.
21
Suppose 150 = 14*i - 9*i. What is the smallest common multiple of 249 and i?
2490
Let a = 35 + -15. Let i = 30 - a. Suppose -l + g + 3 = -i, 0 = -4*l - 5*g + 61. What is the least common multiple of 20 and l?
140
Suppose 0 = -33*z + 41*z - 32. Suppose 4*w - 29 = z*y + 83, -91 = -2*w - 5*y. What is the lowest common multiple of 39 and w?
429
What is the common denominator of -5 + -2 + 18431/2730 and 71/36?
2340
Calculate the smallest common multiple of 18 and (-874)/(-69) - 4/6.
36
Calculate the common denominator of -16/9 and 25/1500*(0 - -314).
90
Calculate the common denominator of -46/453 and (-88)/(-22)*((-884)/(-432))/13.
4077
Let q(w) = -2323*w**3 - 5*w**2 + 6*w + 12. What is the least common multiple of q(-1) and 10?
11620
Let k(f) = f. Let i(c) = -c + 6. Let a(q) = i(q) + 2*k(q). Suppose 7*h - 11*h = -40. What is the smallest common multiple of 2 and a(h)?
16
Let f = 3205 + -3191. Calculate the least common multiple of 4/22 + (-2724)/(-22) and f.
868
Let g(k) = -k - 3. Let w be g(-6). Let r be (-8)/(-20)*(-15)/w. What is the common denominator of r/36*(1 - -45) and 35?
9
Suppose -5*p = f - 3*f + 131, 2*p - 322 = -4*f. Let i = -65241/14 + 4666. Calculate the common denominator of i and (f/36)/(10/(-6)).
70
What is the lowest common multiple of (-1)/(((-8)/(-5))/(-8)) and 79?
395
Let p = -1569/679 - 9/194. Find the common denominator of p and 19/11.
154
Let q(g) = -g**2 - 6*g - 4. Let l be q(-5). Let p be l/4 - 33/(-12). Suppose -p*m = -8*m + 5. Calculate the least common multiple of m and 6.
6
Let t(i) = -i**3 - 3*i**2 + 7*i + 5. Let o be (27/(-4))/(9/(-24)). Suppose o = 4*x - x. What is the least common multiple of t(-5) and x?
60
Suppose -5*x = 5*i - 205, 5*x - 128 - 73 = -i. Let l(o) = -4*o + 246. What is the least common multiple of l(57) and x?
360
Let z(d) = -2*d + 24. Calculate the least common multiple of z(4) and 24.
48
Suppose 0*a - 5*a = 5, -5*a + 2 = l. Let i = l - 2. Let q(k) = k**3 - 5*k**2 + k - 1. Calculate the lowest common multiple of q(5) and i.
20
Let u = 149207 - 32228803/216. Calculate the common denominator of 73/24 and u.
216
Let s(j) = -6*j**2 - 47*j - 23. Calculate the smallest common multiple of s(-7) and 6.
12
Suppose 377 = 2*u + g, -3*u = 4*g - 281 - 297. What is the smallest common multiple of u and 24?
744
Calculate the smallest common multiple of (-6)/(-9)*27/18 and 24.
24
Let b(k) = k**3 + 16*k**2 - 40*k + 21. What is the smallest common multiple of 10 and b(-18)?
930
Let h = 681/2 + -1339/4. Calculate the common denominator of h and 29/36.
36
Let d = 435 + -298. Calculate the smallest common multiple of 3 and d.
411
Let c = -1/8146 - -160886/20365. Find the common denominator of c and -70/3.
30
What is the smallest common multiple of 1 and (2 - (-8)/(-6))/(106/1431)?
9
Let r(x) be the first derivative of -5/3*x**3 + 3*x**2 + 3*x + 7 - 1/4*x**4. Calculate the smallest common multiple of 11 and r(-6).
33
Let i = -3097/3190 + 89/58. Find the common denominator of -22/45 and i.
495
Let j(h) = h**3 + 9*h**2 - 4. Let q be j(-5). Let c be 1/(0 + 4/q). Suppose -c = -4*f + 2*i, 0*i - 4*i = -f + 6. What is the lowest common multiple of f and 18?
18
Let n(q) = -q**3 + 4*q**2 + 3*q - 4. Suppose 2*y - 2 - 4 = 0. Suppose y*w = -w + 56. What is the lowest common multiple of w and n(4)?
56
Suppose 0 = -7*m + 69 + 57. Suppose -6*p = -5*p - 20. What is the lowest common multiple of m and p?
180
Find the common denominator of -8 + 3 - ((-150)/55 + -3) and 40/114*(-5 - 1).
209
What is the least common multiple of 140/(-21) + (-4)/12 - -52 and 3?
45
Let d(a) = 49*a**2 - 4*a + 3. Let r be d(3). Let p(x) = x**3 - 2*x**2 - x + 6. Let n be p(0). Find the common denominator of (-477)/r + (-2)/n and 75/16.
16
Let h = -5398391/3088946 - 246/9593. Let u = 26/23 + h. Find the common denominator of 9/10 and u.
70
Let m = -56 + 86. What is the least common multiple of m and 20?
60
Let u be ((-4)/(-16)*4)/((-3)/(-6)). Suppose -u + 0 = -2*n. What is the least common multiple of 14 and n?
14
Let k = -23/14 + 3/2. Let o = -5/47 + -1375/329. Calculate the common denominator of k and o.
7
Let c be (-6)/(-15) + 97/(-5). Let x = c + 23. Suppose s = -x*r + 13 + 42, 60 = 4*r - 4*s. What is the smallest common multiple of 14 and r?
14
Find the common denominator of 59/182 and 1 - ((-12 - -13) + (-94)/(-312)).
1092
Let o(u) = -29*u - 184. What is the least common multiple of o(-8) and 6?
48
Let k = 2/68085 - 96476461/544680. Let t = 4033/24 + k. Calculate the common denominator of (-6)/(-21) - 439/(-154) and t.
132
Let i(o) = 2*o**2 + 40*o - 22. Calculate the least common multiple of 120 and i(-21).
120
Let q = 32 + -46. Calculate the common denominator of 1/(4/q - 372/(-2478)) and 43/20.
40
Let w = -3 + -3. Let l = 12 + w. What is the common denominator of -12/7 and l/33 + (-399)/(-44)?
28
Suppose 0 = 5*z + 221 - 6. Let n = 63 + z. What is the lowest common multiple of 8 and n?
40
Let w = 1206 - 1188. What is the smallest common multiple of w and 72?
72
Let b(w) = -15*w**2 - 166*w + 7. Calculate the smallest common multiple of 