Let j(q) = -1508*q**3 - q**2 + q. Let s be j(1). Let y = i + s. Find the common denominator of 56/9 and y.
18
Suppose -4*s + n - 10 = -60, -2*s - 4*n = -34. Suppose s*a - 173 - 61 = 0. What is the lowest common multiple of a and (-3)/1 + 1 - -26?
72
Let o(j) = j**3 - 18*j**2 - 93*j + 1834. Calculate the lowest common multiple of o(18) and 2552.
51040
Suppose 306*q - 24245 = 293*q. Calculate the least common multiple of q and 120.
44760
Let w(z) = -z**3 + 6*z**2 + 4*z - 9. Suppose 8*v + 11*v + 57 = 0. What is the smallest common multiple of 4 and w(v)?
60
Let t = 5466 - 5400. What is the lowest common multiple of 18 and t?
198
Let q = 106875 + -8122421/76. Find the common denominator of q and (-14)/136*9 - 0.
1292
Let f be (-2)/7 - (-34018)/16800. Let b = f - 32/75. Calculate the common denominator of b and 47/(-16) + (0 - (3 - 7)).
16
Let s = 437 + 118. Let a = 2753/5 - s. Let y = -3061 - -27521/9. What is the common denominator of y and a?
45
Let w(f) = f**2 + 5*f - 12. Let l be w(-7). Suppose 26 = -l*h + 130. Let q = 63 - h. Calculate the smallest common multiple of 1 and q.
11
Let d = 2957/4 - 729. Let y = 3693/164 + -52/41. What is the common denominator of y and d?
4
Calculate the smallest common multiple of 129 and 121 - (6/1 + (-10 - 4)).
129
Find the common denominator of 2/108*5244/1672 and 53/18.
396
Let q = 23 + -51. Let v = q - -43. Calculate the lowest common multiple of 1/(3 + (-178)/60) and v.
30
Suppose -n - 3*n = -320. Suppose -32 = -5*x + 38. Suppose 63*f - x = 56*f. What is the smallest common multiple of f and n?
80
Suppose -150 = -r - 4*r. Let v(l) = -24*l**2 + 24*l + 1. Let z be v(1). What is the lowest common multiple of r and z/(-6) + 2200/240?
90
Let x = -37649/6 - -6255. Let t be 6/(-20)*(-455712)/144. Let k = t + -962. Find the common denominator of k and x.
30
Let q = -5319 + 5320. Calculate the lowest common multiple of q and 39.
39
Suppose 0 = 3*w + 3*k - 2652, -5*w = -5*k + k - 4411. Let n = w + -485. Find the common denominator of n/119 + (-28)/98 and -26/9.
153
Suppose 9*k + 52*k - 25643 = 45239. What is the least common multiple of 12 and k?
6972
Let o be 4/(-14) - (540/21 + 4). Suppose -2 = -2*y + 18. Find the common denominator of 65/6 and (-57)/y*o/72.
24
Let f = -1289637/86 - -14996. Let a = 33779 - 270165/8. Find the common denominator of a and f.
344
Let s(a) = a**2 + 34*a + 949. What is the smallest common multiple of 32 and s(-41)?
9888
Suppose 67*r = 78*r - 77. What is the common denominator of (r - (-3661)/(-504))*60/(-8) and -77/6?
48
Let j(y) = 165*y - 750. Calculate the lowest common multiple of 550 and j(5).
1650
Let d(g) = g**2 + 3*g + 4. Let k(z) = -1027*z + 14396. What is the lowest common multiple of k(14) and d(5)?
396
Let g(y) = 83*y**2 - 5*y + 2. Let z(s) = 2*s**2 + 16*s + 8. Calculate the smallest common multiple of z(-8) and g(1).
80
Suppose 15527 = 6*a + 4475. What is the smallest common multiple of 54 and a?
16578
Let n(w) = 57*w**3 - 6*w**2 + 13*w - 12. What is the smallest common multiple of n(2) and 6?
1338
Let h(d) = -20*d - 2. Suppose -2 = -2*w - 5*b - 0, -4*w + 2*b + 4 = 0. Let l be h(w). Calculate the lowest common multiple of (-76)/(-6) - l/(-33) and 12.
12
Let r be -3 + (-26)/(-8) - (-227873)/72828. Let a = r + -212/63. Let p = a + -7819/1156. What is the common denominator of p and 41/21?
84
Let g = -83 - -47. Let s be g/56*1912787/21. Let h = 58554 + s. Find the common denominator of h and -27/16.
784
Suppose 5*d - 3*g = 2*g + 5, 25 = d + 5*g. Let l = 50 - 42. Let s = -6 + l. What is the least common multiple of d and s?
10
Let w be (-30 + 35)/(((-1)/1)/(-1)). Suppose w*f - 25 = 0, 0*f - 18 = -y - 2*f. Let t = y + 28. Calculate the least common multiple of t and 18.
36
Let x(j) = -j**2 + 2*j + 2. Let f be x(-4). Let i = 1 + -7. Calculate the common denominator of 31/9 and ((12/(-8))/(3/f))/i.
18
Calculate the common denominator of (1 + 122/10)*(-88)/(-7933068)*65 and -70/1809.
41607
Let q be (-6)/8 - (-235)/4. Let j be (-117)/(-2) + (-3)/9. Let x = q - j. Calculate the common denominator of -45/7 and x.
42
Let m(k) = k**3 + 43*k**2 + 157*k + 149. Calculate the smallest common multiple of 2270 and m(-17).
24970
Let q = -156997/8 - -19631. Calculate the common denominator of q and 3*-1 - 3092/(-1096).
1096
Let u = -229/50 - 23336/175. Let t = 88141/630 + u. Calculate the common denominator of t and 17/30.
90
Suppose 14*d + 140 = 24*d. Let f be d/98 - (1080/14 - 0). Let j = -72 - f. Calculate the smallest common multiple of 11 and j.
55
Suppose 4*r = -15 - 125. Let v = r + 37. Suppose v*w + 6 = 26. What is the least common multiple of 4 and w?
20
Suppose 268 = -3*k - 4*o, -k - 4*o = -6*k - 436. Let h = -58 - k. Calculate the least common multiple of 10 and 4/(-10) - (-42)/h.
10
Let x(d) = -d**3 - 20*d**2 + 19*d + 159. Let z be x(-23). Find the common denominator of -93/110 and (-6)/(-7)*z/1100.
550
Suppose 0 = -b - 3*f + 4 + 8, 3*b + 2*f - 15 = 0. Suppose 0 = -3*y + b, -683 + 238 = -4*s + 3*y. What is the smallest common multiple of 1 and s?
112
Let n = 2 + -10. Let z = 8 + n. Suppose 0 = -q + 3, -4*b + 95 = -z*b - 3*q. Calculate the lowest common multiple of 1 and b.
26
Let m = -89647/16 - -5599. Let k = 349 - 430. Calculate the common denominator of (k/99 - -1) + 1654/(-264) and m.
48
Let u be ((-1698)/28)/(12/16). Let f be 309966/2128*(-2)/3. Let d = u - f. What is the common denominator of d and -29/7?
28
Suppose -3*x - 70 = -4*o, 6 = o + 5*x - 0*x. Suppose 0 = 21*a - o*a - 670. Calculate the lowest common multiple of a and 22.
1474
Suppose -b - 1 = -o, b - 2*o + 2 = -3. Let c be ((-1)/(-1))/(b/(-9)). Let p = 7 + c. Calculate the smallest common multiple of 5 and p.
20
What is the common denominator of 34/11 and ((-396)/90)/11*5/((-15)/(-13))?
165
Suppose 64*h - 1395 - 173 = 352. Calculate the least common multiple of 1677 and h.
16770
Suppose 4*c - c = 3. Let u = 296 + -287. What is the least common multiple of (13 - 10)*c*1/1 and u?
9
Suppose -3*o + 5*j - 14 = -2*o, -5*o - 2*j = -11. Suppose 4*k = 3*k + o, -4333 = 2*t + k. Let s = 21641/10 + t. What is the common denominator of -39 and s?
10
Suppose 2*w = w - 4*k + 98, 0 = 2*k - 2. Suppose -3*l + 154 = -27*b + 29*b, -b = -5*l - 103. Let r = w - b. Calculate the smallest common multiple of 11 and r.
11
Let g be -4 + 0 + 3003/(-836). Let m = g - -37/4. Calculate the common denominator of m and 81/22.
418
Let m = -177 - -172. What is the common denominator of m*1*-1 + 41104/(-8960) and -69/2?
80
Let u(p) = -5*p + 22. Let g be u(4). Suppose -2*q - 2 = 3*j, -g*q - 5*j = 8 - 2. What is the smallest common multiple of q and 24?
24
Let b be (36/(-1090))/((-1)/30). Let n = 91781/327 + b. Let m = -290 + n. Calculate the common denominator of m and -49/10.
30
Let o(v) be the second derivative of 2*v**3/3 - 21*v**2 + 13*v + 3. Let l = -3 + 11. Calculate the smallest common multiple of l and o(13).
40
Find the common denominator of 91/730 and 1/5 + ((-4)/(-26) - 1209426/3909880).
1460
Suppose 7*m - 224 = -42. Suppose 144 = -10*w + m*w. Calculate the smallest common multiple of 90 and w.
90
Suppose 2004*v + 16250 = 2254*v. Calculate the least common multiple of 3367 and v.
16835
What is the common denominator of ((-24)/(-15))/(252/(-90)) - (-5162)/10920 and -53/1170?
2340
Suppose 41*b - 31*b = 0. Suppose b = 3*a - v - v - 208, -330 = -5*a - 5*v. What is the smallest common multiple of a and 44?
748
Let a = 1496 + -1466. Let t = 12 - -17. Let m = -14 + t. What is the smallest common multiple of a and m?
30
Let u be 18/(-15)*(-10)/3. Suppose 4*f = -c - 2*c + 3930, 5240 = 4*c + u*f. Calculate the common denominator of -127/18 and (0/(-2) - c/330) + 2.
198
Let m = -268 - -383. Suppose -5*x + m = 5*v, x - 27 = 4*v - 3*v. What is the smallest common multiple of x and 50?
50
Let v = 2/11437 - -766195/480354. What is the common denominator of v and 8 + 1168/(-168)*108/96?
84
Let t = -119 + 122. Let x = 481 - 346. What is the lowest common multiple of t and x?
135
Calculate the common denominator of (-875)/(-260)*32/(-240) and -53/2.
78
Let z = -143 + 143. Suppose -4*l + 4*v + 28 = z, -4*l - 9*v = -7*v - 16. Calculate the least common multiple of 1 and l.
5
Let c = -112/85 + 4327/3400. What is the common denominator of 3*4/(-20) + (-3)/(-3