8/12)/((-40)/(-3036)). Let k = j + -818. What is the common denominator of k and x(1)?
5
Let t = -34886 + 3593286/103. Let n = -14538091/3953552 + 111/9596. Let d = n - t. What is the common denominator of d and 87/2?
16
Let h(m) be the first derivative of -m**4/4 - 11*m**3/3 + 7*m**2 + 30*m - 7. What is the smallest common multiple of 4 and h(-12)?
12
Let g = -981222 - -5874065/6. Let m = g + 2226. What is the common denominator of 87/8 and m?
24
Let v = -17 + 22. Let z(n) = 3*n**2 - 7*n + 5. Let b = -1333/36 - 53/36. Calculate the common denominator of z(v) and b.
2
Suppose 35 = 3*m - 2*q - 12, 20 = 4*q. Suppose -3*c - 36 + 7 = 5*y, -5*c - m = y. What is the lowest common multiple of (-1)/c + (-220)/(-33) and 2?
14
Let d = -5967 - -95401/16. Find the common denominator of 5/(24/10 + 2) and d.
176
Suppose 3*o + 63*w - 49*w = 139, 0 = -4*o - 2*w + 52. Suppose 8 = g - 0*g. What is the least common multiple of g and o?
72
What is the common denominator of (-4 + (-95)/(-20))*344/84 and 23/156?
1092
Let k(x) = x**3 + 6 + 5*x**2 + 4*x**2 + 18 - 22*x. What is the least common multiple of k(-11) and 1?
24
Let n(s) = -s - 3. Let c be n(0). Let g(t) = 0 + 2*t + 1 + 5*t**2 + t**3 - t**2. What is the least common multiple of g(c) and 12?
12
Suppose -39*l - 299 = -1001. What is the smallest common multiple of l and 6?
18
Let k(p) = 4*p**3 + 15*p**2 - 4 - 29 + 9 - 5*p**3 + 18*p. What is the lowest common multiple of k(16) and 5?
40
Let y(s) = -3 - 4 + 6*s**3 + 2 + 7 - s**2 - 3*s. What is the smallest common multiple of y(2) and 32?
160
Let t(y) = 29*y**3 - 4*y + 3. Calculate the lowest common multiple of 12 and t(1).
84
Let j(i) = i**3 + 8*i**2 - 8*i + 11. Let b be j(-9). Calculate the smallest common multiple of 14 and (-6)/b + 6 + 2.
70
Let b be -2*(-1 - 27/2). Let h = 79 - b. What is the smallest common multiple of h and 22?
550
Suppose -31*d = -11*d - 140. Calculate the smallest common multiple of d and 19.
133
Let d(k) be the first derivative of k**3 - 11*k**2/2 + 8*k - 9. Calculate the least common multiple of -5 + 2 - -2 - -25 and d(4).
24
Let p = 8221/5 - 1638. Calculate the common denominator of p and 9/739.
3695
Let l(z) = -z**3 - 4*z**2 - z - 1. Let a be l(-4). What is the lowest common multiple of 2*1*(7 - (-7 + a)) and 2?
22
Let q = 11652 + -35461/3. Let h = q + 1481/9. Let c(r) = -56*r + 1001. What is the common denominator of c(18) and h?
9
Suppose -2*p - 4*u = -52, -43 = -5*p + 3*p + 5*u. Suppose -8 + p = 2*x. Calculate the least common multiple of 12 and x/44 - 720/(-33).
132
Suppose -m - 3*m = 4*f - 40, -5*f = 4*m - 38. Calculate the least common multiple of m and 6.
12
Let b = 60 - -37. Let s = b - 52. Find the common denominator of s and -73/8.
8
Let h = -119011/31 - -3840. Let k = 3844/345 + 4/69. Calculate the common denominator of k and h.
155
Let o be 225/(-27) - (-4)/(-6). Let t(g) = g**3 + 6*g**2 + 6*g - 10. Let w be t(o). Let b = w - -3360/11. Calculate the common denominator of b and 93/10.
110
Suppose -496 + 166 = -j. What is the least common multiple of 120 and j?
1320
Let b be (1 + (-6)/3)/(2/(-14)). What is the smallest common multiple of 2/(b/(35/2)) and 9?
45
Let z be 47852/(-11) - 94/(-517). Suppose j = -3*j + 104. Calculate the common denominator of 4/j + z/1404 and 131/12.
36
Let r(j) = -3*j - 4. Let q = 14 + -6. Calculate the lowest common multiple of r(-9) and q.
184
Let p(i) be the second derivative of -i**3/6 + 16*i**2 - 10*i. What is the common denominator of (1/5)/((-6)/295) and p(0)?
6
Let f = -28013/15 + 1871. What is the common denominator of f and ((-8)/(-6)*6)/((-180)/102)?
15
What is the common denominator of (2/18)/(2/118) and -10 - (-7648)/436 - 8?
981
Suppose 4*a = 4*t - 20, -4*t + 3*t - 5*a = -23. Suppose 6*r + 40 = 2*r. Let y = r - -24. What is the lowest common multiple of t and y?
56
Let n(w) = 3*w - 33. Let g(o) = 2*o - 17. Let l(x) = 13*g(x) - 6*n(x). Calculate the smallest common multiple of l(5) and 9.
153
Suppose 17625 = 11*t - 17707. What is the smallest common multiple of t and 12?
9636
Suppose 18*n + 74 = 236. Suppose -5*h = -3*h - 6. Let l(w) = w + 1. What is the least common multiple of n and l(h)?
36
Let u = 14367 + -502811/35. What is the common denominator of u and 62/35?
35
Let r(i) = i - 7. Let u be r(11). Suppose -4*x = f - 6, -2*x + 0 - 6 = -u*f. What is the common denominator of ((-15)/10)/(f/(-18)) and -49/9?
18
Let v be (64/(-2 + 0))/(-2). Suppose v = -5*d + 41. Suppose 6 = 2*x, -3*x + d*x = -4*u + 26. What is the smallest common multiple of 11 and u?
55
Suppose f + 8 = n + 18, -4*f = 4*n. Let b = 6 + f. Calculate the least common multiple of 8 and b.
88
Find the common denominator of -61/30 and (86/(-48))/((-1000)/(-300)).
240
Let h = 642085/66 + -9729. Find the common denominator of h and 49/66.
66
Let z = -11603 - -116121/10. What is the common denominator of z and (-6)/(-2 - (-294)/117)?
10
Suppose 2*o = 3*q - 38, -3*q + 2*q - o + 6 = 0. What is the smallest common multiple of 1/4 - 62/(-8) and q?
40
Let v(j) = j**2 - 16*j + 17. Let a be v(15). Let u be 17 + -7 - a/(-2). Let i = -8 + u. Calculate the least common multiple of 8 and i.
24
Let s = -444/11 - -120735/2992. Let j = s - -12113/816. What is the common denominator of j and 19/6?
6
Find the common denominator of 30*(-4)/(-24) + 2186/(-418) and 40/19.
209
Let g = 35865481/3 + -5592612049127/467799. Let p = -1708882727/17152630 - g. Let y = p + 1196/11. Find the common denominator of -44/3 and y.
30
Suppose 188 + 55 = 9*a. What is the least common multiple of a and 60?
540
Suppose i + 3*i - z - 39 = 0, 0 = -i - 3*z. Suppose 5*a = -5*y + 15, 2*y - a - 6 = a. Calculate the smallest common multiple of i and y.
9
Suppose -9 - 9 = -9*n. Suppose 15 + 9 = n*j. What is the least common multiple of 6 and j?
12
Let p(y) = -2*y - 9. Let l be p(-6). Suppose 6*f - l*f = 18. Suppose -z + 17 - f = 0. What is the least common multiple of 8 and z?
88
Suppose 4*f + 0 = 8. Calculate the smallest common multiple of 4 and (-9)/3 - -12 - f.
28
Let i = -105000521071524 + 66990362139210461/638. Let u = 46544774 - i. Let c = u - -425/29. What is the common denominator of 61/22 and c?
22
Let b = -120460/21 + 5740. Find the common denominator of -41/49 and b.
147
Let b = -3 + 13. Find the common denominator of 19/b - 10/(-15) and 93/2.
30
Suppose 0 = -d + 10. Let r = 7 + -7. Suppose -11 = -g - r*g. Calculate the lowest common multiple of g and d.
110
What is the common denominator of -161/180 and (-127)/(-4445) - 2/(-6)?
1260
Let g(w) be the second derivative of -w**5/20 + 11*w**4/12 - 11*w**3/6 + 11*w**2/2 - 10*w. Calculate the smallest common multiple of g(10) and 2.
2
Suppose 3*o = -2*o - 4*u + 173, 5*u = -2*o + 76. Let g(d) = -28*d**3 - d**2 + d + 1. Calculate the smallest common multiple of g(-1) and o.
297
Let a be (122/(-8))/((-3)/24). What is the common denominator of a/(-20) - ((4 - -2) + -8) and 48?
10
Let m = -5750 + 57423/10. Calculate the common denominator of (-2)/(-6)*-1 - (-33)/36 and m.
60
Suppose 15*r + 10 = 16*r. Let n(j) = j - 1. Let x be n(-6). Let y = r + x. Calculate the smallest common multiple of y and 6.
6
Calculate the least common multiple of 33 and (2 - -27) + 1/(6/24).
33
Let m(s) = -2*s**2 + s + 2. Let z be m(3). Let n = z - -34. What is the smallest common multiple of n and 18?
126
Suppose 5*x - 5*m = -255, -5*x - 15 - 241 = -4*m. Let o be (-200)/x - 2/(-13). Suppose 2*z = o*z - 20. What is the smallest common multiple of z and 18?
90
What is the smallest common multiple of 6 and (14/(-8) - -2) + 868/112?
24
Find the common denominator of ((-93)/30 - -3)/((-10)/505) and 31/32.
160
Let v(b) = 17*b**3 - b**2 + 2*b - 2. Let n be 0/((-12)/3) - -1. What is the lowest common multiple of 24 and v(n)?
48
Calculate the common denominator of -34/63 and 12/4 + 220/735 + -3.
441
What is the common denominator of (146/(-624))/((-14)/(-42 + 14)) and -43/9?
468
Let l(a) = a**2 + a + 3. Let p be l(0). Suppose -p*f = -7*f + 4084. Let z = f - 28671/28. Calculate the common denominator of 65/12 and z.
84
Calculate the common denominator of (0 - (278 + -4))*1/(-12) and 59/3.
6
Let r = -1770 + 19522/11. Let x be 0 - 18*9/(-12). Let o = 311/22 - x. Find the common denominator of o and r.
11
Suppose 14*q - 386 = 34. Calculate the least