0. What is the common denominator of 1/12*b/j and 73/14?
126
Suppose 0*g = -3*f + g + 59, -5*f = -4*g - 96. Let a = f - 14. What is the smallest common multiple of 2 and a?
6
Suppose 0 = -5*h + 28 + 12. Calculate the least common multiple of (-8)/(-2) + (-32)/h - -22 and 4.
44
Let n = -103/12 + 943/84. Let z = -19/365 - 43823/6570. Find the common denominator of z and n.
126
Suppose 2*g + 3*w = 4*w - 15, -4*g = -3*w + 33. Let a(r) = 53*r + 10. Let k be a(g). Calculate the common denominator of (3/2)/((-60)/k) and 52/9.
90
Let o(b) be the first derivative of b**3/3 + 7*b**2/2 - 2*b - 102. Let z(t) = -10*t + 1. Let h be z(1). Calculate the lowest common multiple of 4 and o(h).
16
Calculate the common denominator of -101/124 and (-441)/84 + 5/1.
124
Suppose -2*y - 3 = -5*f + 3, f - 38 = 5*y. What is the smallest common multiple of 18/72 - 7/y*10 and 8?
72
Let x be 1/4 - ((-214)/8 + -1). What is the common denominator of 107/12 and x/1008*(-47 + 1)?
36
Let m be 54/10 - 6/(-10). Let d = -2/107 - -3753/428. Calculate the common denominator of d and (-248)/20*(m/(-8))/3.
20
Let a = -3320/63 - -407/7. Let j = -214726 + 2837604092/13215. Let c = 201163/8810 - j. Calculate the common denominator of c and a.
18
Suppose 2*y + d - 2 = -3*d, 7 = 3*y + 2*d. Suppose -4*s - y*b - 35 = 0, -b - 3 = 3*s + 17. Calculate the lowest common multiple of (s/(-1))/(2/4) and 20.
20
Suppose 12*v = 17*v - 390. Calculate the least common multiple of 15 and v.
390
Let t be (3 - (3 - 7))*-9. Find the common denominator of 3 + t/20 - (7 - 4) and -59/4.
20
Let y be 1 - ((-1 - -3) + 3). Let z be (-21)/(2/y*-3). What is the common denominator of 101/14 and (-3324)/(-560) + 4/z?
140
Suppose 216 = 9*p - 3*p. What is the smallest common multiple of 405 and p?
1620
Suppose 7*z + 5*a = 10*z - 168, -4*a - 168 = -3*z. Calculate the least common multiple of z and 56.
56
Suppose 20*t - 127 = -47. What is the smallest common multiple of 124 and t?
124
Let u = 35 - 59. Suppose -382 - 138 = -13*y. Let p = y + u. What is the lowest common multiple of 24 and p?
48
Let b(u) = -2*u**3 - 11*u**2 - 9*u. What is the smallest common multiple of 24 and b(-5)?
120
What is the common denominator of (-2556)/(-112) + 51/119 and 115/196?
196
What is the smallest common multiple of 121 and ((-78)/18 + 3)*-33?
484
Let r = -12 + 48. What is the common denominator of (r/(-33))/((-9)/(-12)) and 73/8?
88
Find the common denominator of 38/297 and (-138)/2640 + 292/60 + -5.
2376
Let z = 167427/14 - 11951. Find the common denominator of z and (10485/23300)/((-4)/150*9/(-5)).
56
Let s(n) = -92*n**2 - 26 + 6*n - n + 84*n**2 + n**3. What is the lowest common multiple of 112 and s(8)?
112
What is the smallest common multiple of 3/(-6) + (-1701)/(-18) and 8?
376
Suppose -4 = -2*d + d. Let o = -203 + 145. Let k = o + 59. What is the lowest common multiple of d and k?
4
Let i = -76 - -268. Suppose 0 = -d - 7*d + i. What is the smallest common multiple of 12 and d?
24
Let i be (1612/(-6))/(2/(-18)). Let o = i + -24109/10. Find the common denominator of o and (-23)/138 - 1/(6/(-32)).
30
Let m = 15 + -17. Find the common denominator of m*(-1)/24*55 and 95/24.
24
Let a be 3*1*105/45. Find the common denominator of 2/12 - (a/5 - -3) and 34/21.
210
Let f = 122 - 233/2. Let w = -3/181 - 17527/1810. Find the common denominator of w and f.
10
Let w(i) = -i**3 - 12*i**2 + 7*i - 23. What is the least common multiple of w(-13) and 2/(-1 - 9/(-7))?
385
Let i = 14/1315 + 63959/44710. What is the common denominator of i and -51/70?
1190
Suppose -2*i + 89 = i + 2*z, 4*i - 107 = -5*z. Let l = -23 + i. Calculate the least common multiple of l and 43.
430
Suppose -3*c + 20 = 2*c. Let d(b) = -42*b**3 + b**2 - b. Let x be d(1). Let r = -40 - x. What is the lowest common multiple of c and r?
4
Suppose 0 = -2*s - 2*q + 152, 2*s + 36 - 176 = q. Calculate the least common multiple of s and 20.
360
Let m(x) = 3*x - 6. Let o be m(3). Suppose -j + 2*s - o = 0, 5*j - 13 - 12 = 2*s. What is the least common multiple of j and 3?
21
Suppose -4*o + 14*o - 1800 = 0. Find the common denominator of 0 - -1 - (-12)/5 and (2 + o/(-21))/((-27)/(-21)).
45
Let i = 13 - 13. Suppose -2*t + 6*t - 24 = i. What is the common denominator of ((-27)/16)/(t/40) and 95/4?
4
Let y = -3 + 7. Let q be (y - 2)/(-1) + -1. Calculate the common denominator of 0 - 41/(-18) - q and 39/4.
36
Let w = -13970 + 6915146/495. Let u = -953/990 - w. Find the common denominator of u and (15/50)/(12/370).
44
Let j be 2/(-3) - 2/(-3). Suppose m + 56 - 67 = 0. Find the common denominator of ((-49)/m)/1 + j and -20/7.
77
Let m = -454 - -481. Calculate the smallest common multiple of m and 495.
1485
Let j = 1267705/68 + -18642. Find the common denominator of -101/2 and j.
68
Let d = 30/119 - -1217/1309. Let h = -158/93 + 3121/3534. Find the common denominator of h and d.
418
Let x = 156 + -150. Calculate the lowest common multiple of x and 156.
156
Let d = -89 + 111. Suppose -b - 5*h + d = 0, -5*h = -b + 4*b - 86. Calculate the lowest common multiple of b and 40.
160
Let w = 154 - 320. Let g = -2/23591 - -1250355/377456. Calculate the common denominator of w/6*(-30)/(-20) and g.
16
Suppose -8 = 2*n, 13*n - 10 = -5*y + 8*n. What is the lowest common multiple of y and 69?
138
Let o = 94 + -87. Suppose o*v - v - 24 = 0. What is the smallest common multiple of 14 and v?
28
Suppose 2*a - 3*a - 2 = 0, -1061 = 3*r + 4*a. Calculate the common denominator of 3/20*13/(r/138) and -71/24.
120
Find the common denominator of 4 + 0 + ((-1155)/18)/(-7) and -79/96.
96
Find the common denominator of 76/519 and 4/(-28) + 3586/(-770).
2595
Let y = 87475/2 - 45742. Let a = y + 1954. What is the common denominator of -1*1*(-29)/22 and a?
22
Let f(v) = v**3 + 3*v**2 - v - 4. Let n be f(-3). Let b be 4/4 - n/1. Find the common denominator of 79/20 and 2 + ((-267)/144 - b).
240
Let v(c) = -c**2 + 19*c + 126. What is the least common multiple of 206 and v(-5)?
618
Suppose 3*f - 49 = -4*d, f = -4*d - 0*f + 43. Suppose 15*k - 30 = d*k. What is the smallest common multiple of k and 3?
6
Let l(d) = -d + 8. Let c be l(6). Suppose 30 = 5*q + c*v - v, q - 6 = 2*v. Calculate the lowest common multiple of q and 14.
42
Let x = -6055143/175 + 34601. What is the common denominator of 62/5 and x?
175
Let x be (3 - 2)/1 - -7. Suppose 3*t - x = -t. Let b(g) = g**3 + 2*g**2 - g + 8. What is the lowest common multiple of t and b(0)?
8
Suppose x - 58 = 2*h, 4*x + 4*h - 79 = 105. What is the lowest common multiple of 10 and x?
50
Suppose 17*f - 1560 = 7*f. Calculate the smallest common multiple of f and 20.
780
Let y = 8 + -16. Let o = y + 70. Calculate the smallest common multiple of (-8)/40 - o/(-10) and 20.
60
Suppose -2*a + 9 = -11. What is the lowest common multiple of (-15 + 8)/(8 + -9) and a?
70
Suppose 460 = 5*d - 2*a - 21, 276 = 3*d + 3*a. Suppose -3*f + 2*c = 50, -3*f + 6*f + 4*c = -62. What is the common denominator of 3 - (d/f)/(-5) and -111/22?
198
Suppose 0 = 3*u + 4*w - 23 - 9, -2*w - 26 = -2*u. Calculate the least common multiple of (9 + 540/(-63))/(2/84) + -9 and u.
36
Let k = 16 - -6. Find the common denominator of 10/25 - (-27)/(-30) and 6/(-2) - 12/k.
22
Suppose 2*c - 4*k = 3*c + 18, 2*k - 24 = 5*c. Let o be 187/33 - (-4)/c. What is the least common multiple of (-1)/5 + 56/o and 4?
44
Let a = 1/6002 + 240069/66022. What is the common denominator of a and -25/93?
1023
Let h(n) = 2*n**3 + 13*n**2 - 4*n - 30. Calculate the smallest common multiple of 410 and h(-6).
1230
Suppose -155*r - 4 = -156*r. Let k = r - 53/20. Find the common denominator of k and 77/8.
40
Suppose -62 = -2*b - 8. Let v be (-32)/112 + 90/21. Suppose -3*x - v*m - 5 + 9 = 0, -m + b = 4*x. What is the least common multiple of 11 and x?
88
Suppose -3*q + 6 = -0. Suppose -10 = -h - 3*g, -g = -5*h + 16 + q. What is the lowest common multiple of 6/h*(-76)/(-3) and 18?
342
Let a = 1485 + -29713/20. Calculate the common denominator of -121/70 and a.
140
Let q = -278 - -414. Let v be (0 - -1) + (-6570)/q. Let d = v + 177/4. What is the common denominator of 32/9 and d?
153
Let z(h) = 2*h**3 + h**2 - 6*h. Let m be z(2). What is the common denominator of m/(-30)*-3 + (-1587)/1140 and -83/4?
76
Let z = 512 + -427. What is the least common multiple of z and 2