
98
Let p be ((-188)/16 - -3) + (-2)/8. Let l(u) = u**2 + 9*u + 4. Let d(f) = -f**3 + f**2 + 8*f + 4. What is the least common multiple of d(-3) and l(p)?
16
What is the common denominator of 151/(-140) - (-4)/10 and 242/(-240) + -1*35/21?
280
Find the common denominator of (3 + (-46)/28)/1 and -13 - 19271/(-756) - 13.
756
Let w = 617369 - 1699405. Let p = 8645213/8 + w. Let g = 1391 + p. What is the common denominator of 85/48 and g?
48
Let p = -117 - -157. Calculate the lowest common multiple of 16/(-6)*(-90)/p and 12.
12
Let p = -611 - -613. Calculate the least common multiple of (-26 + p)/(30/(-100)) and 40.
80
Let w(q) = -264*q**2 - 20*q + 11. Let m be w(7). Let r = -130527/10 - m. Find the common denominator of -145/48 and r.
240
Let u be (28/(-12) - -4)*135. Suppose 0*z + 3*d - 93 = 5*z, 5*z + 86 = -4*d. Calculate the common denominator of -26 and -1 + (3 - -1) + u/z.
2
Let t be (-79770)/9*(-90)/50. Let s = 430691/27 - t. Find the common denominator of s and ((-35)/25 - -2) + (-39)/315.
189
Let p(j) = -502*j - 50. Calculate the smallest common multiple of 2288 and p(-3).
16016
Let o = -189955 + 752327/4. Let g = o - -1864. Calculate the common denominator of 13/22 and g.
44
Calculate the lowest common multiple of (-25)/(-10)*((462 - 1) + -2 + -1) and 25.
5725
Suppose 3*d - 3*y + 4*y + 7669 = 0, d + 2535 = 5*y. Let h = -71531/28 - d. What is the common denominator of h and -43/4?
28
Let b = -466721 - -1037054019/2222. Find the common denominator of -14/1717 and b.
37774
Suppose n - 40 = -3*y, -2*y = -5*y - 2*n + 41. Find the common denominator of 1/6 and (-2)/15*y/(4420/175).
102
Let g be (4/13420)/(28/(-5)). Let u = -133871/122122 - g. Let h = 130/59 - 3011/590. Find the common denominator of u and h.
260
Let w = 43021/76 - 566. Calculate the common denominator of (-3367)/(-74)*(-10)/532 and w.
76
Let h be (-21)/(-9) + -3 - 65/(-3). Suppose -2*j + h + 1 = 0. Let t(x) = 2*x - 6. What is the least common multiple of 20 and t(j)?
80
Suppose -3*g + 0 + 3 = 0. Suppose -21 = 5*q - 6, 3*j - 498 = -2*q. Let n = -154 + j. What is the smallest common multiple of g and n?
14
Let q = -19031/11 + 1734. Calculate the common denominator of q and 43/123.
1353
Suppose -8406 = -3*g + 4302 - 192. Calculate the least common multiple of 6 and g.
12516
Suppose 6*a + 6 = -6. Find the common denominator of (a - 48/20)/((-3)/10) and -137/30.
30
Find the common denominator of (114/(-4))/((-65)/11 + 17/(-187)) and 87/6560.
6560
Let g = 1/12876 + -26827/25752. Calculate the common denominator of (424/(-288))/(22/(-6)) and g.
264
Let v = 2430498727/1787460 - -2/446865. Let l = v - 1352. What is the common denominator of l and 27/8?
8
Suppose -5*x + 330 = -670. Let b be (x/186)/((-6)/(-45)). Let p = -3101/496 + b. Find the common denominator of 63/2 and p.
16
Calculate the common denominator of 79/32 and 132/(-5456)*(-1 - (-141)/30).
4960
Let c(q) = -544*q + 23950. Suppose 14 = 4*k - 10. Let u = 12 + k. Calculate the least common multiple of u and c(44).
126
Let v(a) = a**2 + a + 1. Let q(k) = 3*k**2 - 8*k - 21. Let l(t) = q(t) - 2*v(t). Calculate the least common multiple of l(15) and 5.
260
Let y = 105567673/132 + -799735. Let s = y - 266/11. Find the common denominator of s and 808/72*2/4.
36
Let d = -3154/11 + 26189/88. Find the common denominator of d and -21/4535.
36280
Let l = 240/107 - -2947/642. Find the common denominator of 537/144 + -2 + 0 and l.
48
Calculate the smallest common multiple of (3/(-6))/((-2)/80) and (3 + 77/(-14))*2 - (-5 - 5).
20
Calculate the common denominator of ((-2)/(-70))/(16*((-573)/(-285) + -2)) and -25/112.
112
Suppose -4*c + 1800 = -2*n, -3*c + 44*n = 47*n - 1332. Suppose 9*v = -c + 583. Calculate the lowest common multiple of v and 40.
120
Suppose 0 = i + 5*p - 2861, -i = -5*i - 2*p + 11354. Calculate the smallest common multiple of 20 and i.
14180
Let p(k) = 3*k + 1. Let x(j) = 19*j - 196. Let a(h) = 4*p(h) - x(h). Calculate the least common multiple of a(0) and 22.
2200
Suppose -119 = 2*w - 121. Suppose -m + 11 = 2*i, -4*m = -0*m - i - 17. What is the smallest common multiple of w and m?
5
Suppose -49*s - 359*s + 8481 = -87. Suppose -54 = -3*l + 2*l. What is the lowest common multiple of (l/4)/((-1)/(-2)) and s?
189
Let b be ((-264)/48)/(1/(-31804)). Let x = b - 148333759/848. Find the common denominator of 1/4 and x.
848
Suppose -3*j = 6 - 15. Suppose -n - n = 5*k + 42, 34 = -4*k - 2*n. Let g = 15 + k. Calculate the smallest common multiple of g and j.
21
Suppose -7*h - 57 = 6. Let a be (3 - 16/6)/(3/h). Find the common denominator of a - -2 - -1*99/(-6) and -25/48.
48
Let p = 985 + -957. Calculate the smallest common multiple of 1364 and p.
9548
Let h be -1*1/(1/(-403)). Suppose 5*m + 1 = 66. What is the least common multiple of h/m + (-4)/(-2) and 15?
165
Let t = 1/252522 + 7912265/22979502. Calculate the common denominator of -20/49 and t.
1911
What is the least common multiple of 40500/(-72)*180/(-27) and 60?
7500
Suppose 7372*r = 7367*r + 85. Calculate the smallest common multiple of r and 6.
102
Suppose -25 = -3*z - 4*u, -7*z = -3*z - 5*u + 8. Suppose -135 = 5*q - 3*k, -z*k = q - 2 + 29. Let c = 85 - q. What is the least common multiple of 6 and c?
336
Let c = 21037 - 904545/43. What is the common denominator of -45/94 and c?
4042
Let r = 181/16 + -43/16. Let k = 106/305 - 13219/7320. Find the common denominator of k and r.
24
Suppose i + 4 = 0, 2*y = 3*i + 2*i + 12. Let n be (y - 54/(-12)) + (-49)/62. Let w = n + 2609/124. Calculate the common denominator of w and -8.
4
What is the common denominator of (-1630)/(-1248) + 10/15 - 870/11310 and 1/(-5)*23/(-2)?
240
Suppose 4*m - 16 = 2*y, 5*m + 18 = 5*y + 33. Suppose 5*a = n - 0*a + 9, -1 = m*n - 3*a. Calculate the smallest common multiple of 4 and n.
4
Calculate the common denominator of 145/486 and (-4 - (-385)/180)/(925/74).
12150
Suppose 5*d - 3369 = 3*b, -4*d + 9*b = 6*b - 2697. Calculate the smallest common multiple of d and 1344.
1344
Let v(n) = -n + 14. Let m be v(11). Suppose -4*q = 0, 7*j - 3*j = m*q + 4. Calculate the smallest common multiple of j/3*-10*-3 and 22.
110
Let w(y) = 28*y + 8. Let u be w(5). What is the common denominator of 1/(-1) - u/44 and (11/(-33))/(-1 + (-286)/(-258))?
154
Let v(j) = -j**2 - 12*j + 16. Let m be (-71)/(-3) + 4/(-6). Let o = 14 - m. What is the lowest common multiple of v(o) and 1?
43
Suppose -3*y + 5*y + 145 = 3*i, 3*i - 130 = -y. Suppose -15 = 5*z - i. Calculate the common denominator of 1649/119*7/z and -23/2.
6
Suppose 2*y - 8 - 4 = -3*i, -18 = -3*y - 3*i. Let f = 193 - 121. What is the lowest common multiple of f and y?
72
Find the common denominator of 7/(14/12)*270/(-7956) and 43/255.
3315
Let f(h) = -h**2 - 10*h - 4. Let c be f(-6). Suppose -2*w + c = -w. Let y(x) = x**3 + 2*x**2 - 3*x + 2. Calculate the smallest common multiple of w and y(-2).
40
Let l(x) = x**3 - x**2 - x - 2. Let c be l(0). Let h = 1402 + -7036/5. Calculate the common denominator of (-1)/c + (-61)/(-10) and h.
5
Suppose -3*r = -3*b + b - 754, 4*b + 20 = 0. Let w = r - 2577/10. What is the common denominator of w and (-18)/81*129/(-48)?
360
Suppose 2*h + 1 = 5*t, 0 = -5*h - t - 17 + 1. Suppose -12*b = -7*b - 35. What is the smallest common multiple of -1*-1*h*3/(-3) and b?
21
Let d = 121483/140 + -6036/7. Calculate the common denominator of d and -79/42.
420
Calculate the common denominator of -3*(-8)/28 + 8976/(-3465) and 169/2400.
2400
Let r = -67 - 13. Let b = -53 - r. Calculate the lowest common multiple of b and 36.
108
Let o(b) be the first derivative of -b**4/4 - 5*b**3 + 133*b + 165. Calculate the lowest common multiple of o(-15) and 63.
1197
Let n(l) = -2*l**3 + 11*l**2 - 20. What is the lowest common multiple of n(5) and 2596?
12980
Let k = 71141/25 - 2844. Let z = 25099/6 - 250993/60. Calculate the common denominator of k and z.
100
Let t(a) = -3*a**3 + 29*a**2 + 64*a - 82. Suppose 3*y - 3*s = -s + 103, 0 = -y - 5*s + 23. Calculate the lowest common multiple of y and t(11).
1518
Let w = 55 + 9. Suppose 26324 = 241*x + 433*x - 18559 + 1747. Calculate the lowest common multiple of x and w.
64
Suppose 2*n + 8 = 2*i, 24*i - 22*i - 8 = -2*n. Let k = 31745/12 + -2647. Calculate the common denominator of (-772)/1080 + (1 + n)/(-10) and k.
108
