14
Let s = -3202261/129 - -24824. Let d = s - -12233/1032. Find the common denominator of -67/22 and d.
88
Let t(s) = s**2 + 8*s + 5. Let d be t(-4). Let j = 20 + d. Suppose -g - 2*v = 1 + 2, 4*v - j = -5*g. What is the smallest common multiple of g and 6?
30
Let c = 2 + -7. Suppose 0 = 2*n + 2*n - 48. What is the lowest common multiple of 0 + c/(10/(-4)) and n?
12
Let v be (-3)/4 - (-280)/32. Calculate the least common multiple of v/12 - (-1)/3 and 2.
2
Let p = 51959/9 - 5780. Suppose -2*h + 6*h = 8. Find the common denominator of (-347)/20 - h/5 and p.
36
Let r = 316 + -599/2. Let y = -5572 + 66791/12. What is the common denominator of r and y?
12
Suppose -3*j = 2*a - 7, -a + j = 5*j + 9. Calculate the least common multiple of 129 and 2 + (-24)/a - (-46)/11.
516
Let x = -60 + 445. What is the lowest common multiple of 77 and x?
385
Let t = -110106990300117037/117300 + 938678519177. Let j = -6058/21 + 59216971/205275. Let c = j + t. Find the common denominator of -31/18 and c.
36
Let b(z) = 2*z**3 - 8*z**2 - z + 0*z**3 + 6*z**2. Let l be b(3). Calculate the common denominator of 83/18 and 3/(-10)*l/(-18).
180
Let d(u) = -u**2 + 9*u + 2. Suppose -3*w = 2*w + p - 35, 0 = -5*p. Calculate the lowest common multiple of 1 and d(w).
16
Let r = 1892287/1372404 - 1/41588. Find the common denominator of r and -137/12.
132
Suppose 80 = 5*f - l, 0 = -2*f - 4*l + l + 15. Let v = -21 + f. Let q(t) = -3*t - 4. Calculate the lowest common multiple of q(v) and 14.
14
Suppose -v - 3*k - 48 = 3*v, v - 3*k = -12. Let o = -13 + v. Let r = o + 45. Calculate the lowest common multiple of 16 and r.
80
Let z be 2/7 + 160/28. Suppose -12 = -4*f - 4*a - 60, 5*f + 3*a = -52. What is the common denominator of -181/30 and (-202)/(-44) + f + z?
330
Let g(c) = 3*c**2 + 6*c + 7. Let i be -5 + ((-32)/4)/(-4). What is the lowest common multiple of g(-3) and (-8)/(-4) - -3 - i?
16
Let p be (-3)/(1 + -2) - 465. What is the common denominator of 658/p + (-2)/(-6) and -28/15?
165
Let t be (0 + 0)*(16 - 15). Suppose -3*n + 84 = -2*h, t*n - h = n - 23. What is the lowest common multiple of 4 and n?
52
Suppose -3*p + 21 = -22*m + 25*m, -4*p + 12 = -4*m. What is the lowest common multiple of p and 79?
395
Suppose -19 - 51 = -5*y. Let n = -17 + 37. What is the lowest common multiple of n and y?
140
Let n = 10292 + -226509/22. Suppose 6*b - 2*b - 4 = 0. What is the common denominator of 57/(-4) + -1 + b and n?
44
Suppose -2*o - 4*a = 4, 2*o - 23 = 5*a + 18. Let q be -6*((-17)/2 - -3). Let v = q - 29. What is the lowest common multiple of v and o?
8
Let v = -2272 - -31729/14. What is the common denominator of -83/206 and v?
1442
Let p = -4 + 8. Let g be 4/1*(-21)/14. Calculate the lowest common multiple of (6 + g + -2)*(-6 + -2) and p.
16
Let v = 108 - 180. What is the common denominator of (-788)/v + -7 + 2 and (-1 - 0) + (-16)/9?
18
What is the common denominator of (-12)/(-99) - (-4)/(-4) and 2/4 - (-14)/(-24)?
132
Calculate the common denominator of (-2)/(6/5*90/84) and 28/45.
45
Suppose -h + 100 = i + 23, -3*h + 231 = -3*i. Calculate the least common multiple of 14 and h.
154
Suppose 3*v = -4*u + 1855, -6*u + 4*v = -u - 2342. Let r = -3703/8 + u. Let c = 5654 - 56629/10. What is the common denominator of c and r?
40
Suppose -5*q + 5*c = -300, -2*c = q + q - 100. Let h = 61 - q. What is the least common multiple of 21 and h?
42
Suppose -3 - 5 = 4*j. Calculate the common denominator of j/(-1*22/(-9)) and 2 - ((-4)/(-16))/(132/1104).
11
Suppose 2*w + 2*q + 44 = 4*w, -q - 85 = -4*w. What is the least common multiple of w and 24?
168
Let z = -149491990069/106488260970 - 2/29596515. Let m = z + 12/257. Calculate the common denominator of m and 219*((-1684)/120 - -14).
70
Find the common denominator of 11/35*(-110)/(-33) and 261/(-135) + 4/(-30).
105
Suppose 165 + 24 = -7*i. What is the smallest common multiple of (1 + (-423)/i)*12/10 and 6?
60
Let g = 16 - 7. Let n be (-11)/(-4) + (-1)/(-4). Calculate the least common multiple of g and (-23)/(-3) + (-2)/n.
63
What is the common denominator of 1/13 + (-3028)/3536 and 73/6?
204
Suppose 4*a = -20039 - 4473. Let p = a - -97993/16. What is the common denominator of p and 35/11?
176
What is the common denominator of (-166)/(-249) + 2*(-119)/(-300) and 44/105?
1050
Suppose -4*a - 3 = 2*t - 31, 0 = 5*t - 4*a - 14. What is the smallest common multiple of -10*(-8)/((-200)/(-15)) and t?
6
Let j = -13016/21 + 620. Let a = 17525 + -525887/30. Calculate the common denominator of a and j.
210
Suppose 8*f - 13*f = -4*r + 175, 0 = -3*f - 9. Calculate the least common multiple of r and 16.
80
Suppose -204 = -4*d - 2*i, -12*i + 7*i - 176 = -4*d. Calculate the smallest common multiple of d and 35.
245
Let c = -29 + 32. Suppose i + 36 = c*i. What is the smallest common multiple of (0 - 6)*(-4)/6 and i?
36
Let o be (1 - -39601)/(14/371). Let y = o + -11531463/11. Let z = 1135 - y. Find the common denominator of z and -8/7.
77
Let v be (-17199)/(-2)*(-6)/(-60)*6. Let m = 5165 - v. Find the common denominator of m and 0 + -1 - 13/12.
60
Let k = 3 - 8. Let g be (-2 - (4 + -5))*k. Suppose -g*i - 29 = -69. Calculate the smallest common multiple of 14 and i.
56
Suppose -4*v = 5*y - 36, 0 = -2*y + 7*y + 5*v - 40. Suppose -y*l + 10 = n, 5*l = 4*n + 3*l - 58. What is the lowest common multiple of n and 22?
154
Let y = -1603/3 - -548. Calculate the common denominator of y and -7/3.
3
Let r(v) = 191*v + 60. What is the lowest common multiple of 5 and r(3)?
3165
Let z = 251/228 + -241/19. Let q = 2 - 4. Find the common denominator of (-8*2 - q)/(120/(-42)) and z.
60
Let n = -170 - -198. What is the smallest common multiple of 108 and n?
756
Let y(w) = w**3 - 7*w**2 - 102*w - 36. What is the lowest common multiple of 36 and y(15)?
468
What is the common denominator of 93/278 and (-14)/70*-35 + 3/(-10)?
1390
Suppose -7*x + 2*x + 40 = 0. Let y(w) = 4*w**2 + 13*w + 7. Let a be y(-6). Let u = -71 + a. What is the lowest common multiple of x and u?
8
Let h(u) = u + 13. Calculate the least common multiple of h(-6) and 14.
14
Let n(y) = -y**3 + 8*y**2 + 7*y + 13. Let k be n(9). Let t(l) = -13*l - 17. Calculate the smallest common multiple of 21 and t(k).
336
Let h = 532663/18 + -29600. Calculate the common denominator of h and 33/8.
72
What is the smallest common multiple of 70/6 + -3 - 2/3 and 4?
8
Let m = 37 + -55. Let n be (-12516)/m*9/15. Let f = n + -2034/5. Calculate the common denominator of -17/8 and f.
40
Let o(w) = 10*w. Suppose -c - 10 = -6*c. Suppose 4*x + 5*m = 17, 0 = 5*x + 5*m - 46 + 21. Calculate the smallest common multiple of o(c) and x.
40
Let l(s) = -s**3 + 4*s**2 + 14*s + 5. Suppose 7 + 29 = 4*m. What is the smallest common multiple of m and l(6)?
153
Let d be (0 + (-412)/12)/(1/(-2)). Let n = d + -125/2. Calculate the common denominator of n and 17/19.
114
Let f be (236/6)/((-8)/(-24)). Find the common denominator of (-4)/16*f/5 + 1 and 67/3.
30
Suppose 7*l = -14 + 56. What is the least common multiple of l and 19?
114
Let a = 33 - 32. Let i be (1 + 848/(-833))/a. Let r = 75473/18326 - i. Calculate the common denominator of 11/48 and r.
528
Let n(b) = b**3 - 5*b**2 - 4*b - 8. Let f be n(6). Suppose 0 = f*k - k + 63. Let w = 37 + k. What is the lowest common multiple of w and 2?
16
Let q = 17331 - -32509. Let s = 2238077/45 - q. Let z = -1004/9 - s. Find the common denominator of z and 9/7.
35
Let y be (9/(-30))/(8/(-610)). Let z be ((-3)/18)/(4/654). Let f = z + y. Calculate the common denominator of f and -93/2.
8
Let v(l) = -l + 7. Let x be v(5). Suppose 2*w - 9 = w. What is the smallest common multiple of x/(-3)*12/(-1) and w?
72
Let c(x) = -x + 17. Let a(i) = 7 + 2*i - 11 - 4. What is the smallest common multiple of c(13) and a(6)?
4
Let n = -21/130 + -698/65. Calculate the common denominator of n and ((-517)/(-55))/(0 - (-1 + 2)).
10
Let k be ((-8)/5)/((-84)/(-20) + -4). Calculate the common denominator of -2*(-294)/(-16)*k/108 and -87/14.
126
Let g(h) = -h**2 + 4*h - 1. Let d be g(2). Suppose -2*k - d*k = -20. Calculate the common denominator of 2 and (-98)/k*(-12)/(-18).
3
Let z = 700 - 7725/11. Calculate the common denominator of 10 - (0/3)/5 and z.
11
Let t = 5 + -4. Calculate the common denominator of 73/6 and (t - 19/8) + -1.
24
Suppose 4*i +