Let m(k) = k**3 - 20*k**2 - 4*k + 27. Let f be m(20). Let n = f - -67. Let i = 69 + -39. What is the lowest common multiple of i and n?
210
Suppose 0 = -l + 2*i - 0 + 2, 4*i - 66 = -5*l. Let h be (-1080)/(-16)*(-8)/l. Let y = 56 + h. Calculate the least common multiple of 18 and y.
18
Let i(d) = 34*d**2 - 5750*d + 697. Suppose -y = -0*y - 297. Calculate the least common multiple of y and i(169).
2079
What is the least common multiple of 272 and 48*(-14 - 464/(-32))?
816
Suppose -10*d - 148 = 5*c - 13*d, d - 6 = 0. Suppose 3*j + 4 = -5. What is the common denominator of (j/(-24))/(2/292) and c?
4
Let k(b) = -b. Let r(i) = -i**2 + 10*i - 8. Let v(m) = 5*k(m) + r(m). Let g be v(-6). Let f = 104 + g. What is the smallest common multiple of f and 24?
120
Let u = 4407 - 3868. Calculate the least common multiple of u and 980.
10780
Let o = 349721959975979/24466 - 14294202568. Let x = o - -1/1882. Find the common denominator of x and -29/39.
39
Suppose u + 1 = 2*g - 0, 5*u = 2*g + 11. Suppose -22*i + 26*i + 2*x = 246, -x + u = 0. What is the smallest common multiple of 60 and i?
60
Let d = 54 + -53. Let m = 39 - 25. What is the lowest common multiple of m and (d/((-2)/7))/(5/(-20))?
14
What is the lowest common multiple of 7803 and (-8)/(24/(-165)) + (17 - 9)?
54621
Let h = -3468941503/2814 + 1232744. Calculate the common denominator of 6/77 and h.
30954
Let m = -262507529275211525/489986 - -535744958579. Let i = m + -2/104997. Find the common denominator of -149/36 and i.
252
Let k(j) = j**3 - 12*j**2 - 17*j + 64. What is the smallest common multiple of 70 and k(13)?
420
Find the common denominator of -49/30 and -2*770/600 + (-2 + 10)/4.
30
Let f = 109/709 + -171412/1027341. Calculate the common denominator of f and -88/21.
1449
Let t = -24 - -74. What is the lowest common multiple of -7 - (-320)/t - 146/(-10) and 4?
28
Let b(x) = 47*x + 17. Let z be b(-7). Let v be (z/(-20))/((-16)/(-255)). Let w = -5701/24 + v. Calculate the common denominator of w and 103/14.
84
Let d(g) = 0 + 0*g**3 - g**3 - 2 + g**2 + 7*g + 6*g**2. Let x be d(7). Let l = 61 - x. Calculate the smallest common multiple of 7 and l.
14
Let j be (-1)/4*3 - 639938187/14364. Let m = -44551 - j. Find the common denominator of -137/42 and m.
798
Let l = 245312 - 3679658/15. What is the common denominator of 7/(-31)*11/(-3) and l?
465
Let q(c) = -4*c + 1. Let y be q(0). Let z be 3 + 5 - y*4. What is the common denominator of 38/5 and (z/(-20))/((-96)/2740)?
120
Let c be -12 + 14 + 1*13. Let p be ((-171)/18)/((-1)/2). Suppose -p*n + c*n = -96. What is the lowest common multiple of n and 6?
24
Suppose 0 = u, 0 = -4*j + 6*j + 2*u + 184. Let h = 77 + -147. Let n = h - j. What is the least common multiple of n and 14?
154
Let y(d) = -955*d**2 - 110 - 4*d + 957*d**2 + 3*d - 4*d + 33. What is the least common multiple of y(8) and 70?
770
Let o be 1049/(-3)*33/(-55). Let k be 38*-1*11/2. Let p = o + k. Calculate the common denominator of -38/3 and p.
15
Suppose -y + 3 = -3*u, -5*y - 58*u = -54*u - 15. What is the smallest common multiple of y and 26?
78
Let g = -4665 - -359199/77. Let n = 4/351 - -26293/2808. Calculate the common denominator of g and n.
616
Let y = -25 + -20. Calculate the common denominator of 27/(-60) + (-2)/4 and (-39)/y + -1 - (-1491)/70.
60
Let g = -12558 + 16056. Calculate the lowest common multiple of g and 363.
38478
Let h = 5924 + -390955/66. What is the common denominator of h and 51/2761?
16566
Let n = -9/2453 + -216751/426822. Find the common denominator of -95/273 and n.
15834
Let l = -449 + 779. Suppose 69*j - 84*j = -l. Let a = 11 + 15. Calculate the lowest common multiple of a and j.
286
Suppose -2*s - 3*w = -6, 2*s + 0*s = 2*w + 16. Let f be 3*1*(16 - 6). Suppose -4*o + 5*o - f = 0. What is the least common multiple of o and s?
30
Let p = -127853491/918 - -139274. Find the common denominator of p and 97/2142.
6426
Let k = 13443/8 + -16827/10. Find the common denominator of k and ((-23)/(-12))/((-25)/(-3)).
200
Let a be -4016 - 4*(-5)/10. Let i be (-8)/10 - a/5. Let b = 1683/2 - i. Calculate the common denominator of 65/24 and b.
24
Let b(m) = 94*m - 130. Let d be b(5). Calculate the common denominator of d/(-120)*(-3)/(-46) and 17/40.
920
Let u be ((-2905336)/96)/(-7) - -1*5. Let q = u + -4326. What is the common denominator of 19/24 and q?
24
Let f(v) = -62*v + 9298. Calculate the least common multiple of 300 and f(149).
300
Suppose 0 = 2*k + 4*q - 20, 421 = 3*k + 2*q + 379. Let p(r) = -r**3 - r**2 + r + 3. What is the lowest common multiple of k and p(-3)?
144
Let y = 21488 - 150373/7. Find the common denominator of -17/3919 and y.
27433
What is the least common multiple of 2980 and (-8)/6*(6 - 3/(-9)*-153)?
8940
Let y be 69916/(-198) + 2/18. Let k = 383 + y. Calculate the lowest common multiple of 30 and k.
30
Let t = -84619/24405 - -1/1627. Suppose 0 = -5*x + j - 939, 2 = 2*j + 4. Find the common denominator of t and x/(-30)*10/24.
90
Let g be ((-6)/(-5))/((4/(-8))/((-10)/(-6))). Let j = -447 + 303. Calculate the least common multiple of 9 and (3/(g - -1))/(4/j).
36
Let r = 12 + -8. Find the common denominator of (-12)/((350/(-15))/(-7)) and ((-1)/r)/(3/273).
20
Let y be ((-166738)/(-672))/(-13) - 1/7. Let t = 7/16 - y. Let p = -3147 + 18817/6. Calculate the common denominator of p and t.
6
Suppose 4*k - 28 = -10*k. Suppose 2*i = 4*t + 56, k*i = -t + 51 - 5. What is the lowest common multiple of 51 and i?
408
Let x be (-674)/(-26) - (2 - 2). Let i = x - 10991/429. Let y = 31621/3906 - 81/217. What is the common denominator of i and y?
198
Let w(v) = 6184*v + 76. Let h be w(-6). Let i = h + 1666166/45. Find the common denominator of 43/50 and i.
450
Let m be (0 + 5 + -9 - -4)/(-3). Suppose m = -2*u - 5*l + 187 + 593, -4*u - 3*l = -1560. What is the least common multiple of 20 and u?
780
Let l = -3171/4 + 768. Let x = -25633/33 + 17/66. Let s = x - -736. What is the common denominator of s and l?
4
Suppose 3*p = -t - 4, 0 = 302*p - 303*p - 4. What is the least common multiple of 224 and t?
224
Suppose 169 = -3*p + 166. Let y be -13 + 19 - p*(1 - 1). Calculate the common denominator of (40/y)/(-5)*(-57)/(-9) and 29/15.
45
Suppose -12787 - 45353 = -85*v. Calculate the least common multiple of v and 9.
684
Let k = 46088351/218 - 211414. Calculate the common denominator of 83/28 and k.
3052
What is the common denominator of -59/33 and ((-168)/(-18) + -9)*(-4 + 540/68)?
561
Suppose -2292 - 68 = -28*c + 3296. Suppose -2*m + 17 + 15 = 0. Calculate the lowest common multiple of m and c.
1616
Calculate the common denominator of ((-17)/(-2))/((-105006)/(-387)) and 149/1332.
14652
Let t be (-3 + 36/3)*(-192150)/27. Let j be 4/(-28) - 5/t*1858. Let v = -22867/3660 - j. Find the common denominator of 9/10 and v.
20
Suppose -2*v = 3*g - 59 + 12, 5*v - 130 = 5*g. Suppose 0 = 4*t - 3*w + 56, -4*t - 5*w - v = -1. Calculate the common denominator of 63/4 and (-3)/10*14/t.
220
Let l be 349*(-15)/(-25)*(-4)/8. Let p = l - -302/3. Calculate the common denominator of 119/66 and p.
330
Let n(r) = -169*r + 536. Let b(g) = -g**2 + 13*g + 24. What is the lowest common multiple of b(14) and n(3)?
290
What is the common denominator of -85/3142 and (-35 - (-18305)/525)/((-8)/(-114))?
15710
Let z be (81/(-2))/(15/(-20) - 0). What is the common denominator of -74/9 and 250/z - -1*(0 - 2)?
27
Let n(u) = -u**2 - 3*u + 4. Let b(v) = -v**3 + 29*v**2 + 37*v - 102. Let c be b(30). Suppose c = 2*d + 36. Calculate the lowest common multiple of d and n(-3).
36
Let u be (-36 - -34)*(-1)/2. What is the common denominator of u + 680/(-30)*30/(-16) and 2/(-9)*834/(-8)?
6
Suppose 0 = -2*g + 9*p - 8*p - 13, 5 = -g - p. Calculate the least common multiple of 308 and (-360)/(-162) - g/(-27).
308
Let d = 78 - 66. Calculate the smallest common multiple of d and ((-2)/4)/((-2)/248).
372
Let y(i) = -i**3 + 4*i**2 - 4*i + 3. Let u be y(2). Suppose 4*q - 4 = -v - u*v, -5*v + 20 = 2*q. What is the smallest common multiple of v and 45?
90
Let o = 29557 - 1034569/35. What is the common denominator of o and -62/315?
315
Let d be (22/33)/(-2 - 24/(-9)). Let u(p) = 80*p**2 - 5*p - 1. Let m be u(d). Let w = -70 + m. Calculate the lowest common multiple of 32 and w.
32
Let t(w) = -w + 11. Let g be t(5). What is the c