 Let d(y) be the third derivative of y**5/60 - 5*y**4/24 - y**3/2 + 16*y**2. What is the smallest common multiple of d(m) and 3?
33
What is the common denominator of 38/5*6/4 and ((-9)/(-69))/(279/(-4557))?
115
Suppose 0 = s - 1 - 20. Let q(n) = -32*n + 198. Calculate the least common multiple of s and q(6).
42
Let f = -27 + 57. Let z = 3 - 1. Calculate the lowest common multiple of (-12)/f - (-32)/5 and z.
6
Let j = 788 - 788. Suppose -l = 2*l + 36. Calculate the common denominator of l and j.
1
Let u = 152165 + -27388991/180. Let x = -5/36 + u. Let s = -12 + x. Calculate the common denominator of s and 1/6.
30
Let j = -951 + 7623/8. Let q = -258961/54 + 4797. What is the common denominator of q and j?
216
Let a = 7 + -4. Suppose 2*s = -a*s + 50. What is the smallest common multiple of s and (-636)/(-20) + (-6)/(-30)?
160
Find the common denominator of -2*(1 + (-34)/80) and ((-10)/135)/((-16)/(-156)).
180
What is the common denominator of (-21)/1134*375/(-2) and 25/9?
36
Suppose -21 = -5*v - 1. Suppose -4*j = -v*c, 2*c - j = -0*c + 2. Calculate the smallest common multiple of c and 4.
4
Calculate the smallest common multiple of 42 and (-88)/(-10)*95/38.
462
What is the common denominator of (-27)/(-168) - 1/4 and 1/12?
168
Let b be (-9)/(-27) + 16/6. Let p be -3 + (-24)/(b/(-3)). What is the smallest common multiple of 10 and -2*p/(-6) - 1?
30
Find the common denominator of 1 + 707/(-112) - 0 and -41/128.
128
Suppose -4*g + 18 = -54. Calculate the smallest common multiple of g and 356.
3204
Calculate the smallest common multiple of 27 and (-6)/(-4) - 1023/(-22).
432
Suppose 2*b = -4*a - 25 - 15, -3*b - 5*a - 59 = 0. Suppose -6 = z - 30. What is the common denominator of -105/22 and (-1 + 18)*b/z?
44
Let j(l) = l**3 - 17*l**2 + l + 6. Let h be j(17). Let t = h + 1. Calculate the smallest common multiple of t and 6.
24
Calculate the common denominator of -17/144 and 474/(-96)*4*(-1)/18.
144
Let w = 205 + -143. What is the lowest common multiple of 38 and w?
1178
Suppose -26 - 86 = 7*u. Let z = -7 - u. What is the smallest common multiple of z and 12?
36
Suppose -2*s = -5*w + 43, -3*w + 0*s - 3*s + 9 = 0. Let d = -1 + 26. Let v = 35 - d. Calculate the least common multiple of v and w.
70
Let r = 65141/594 + -1211/11. Let a = 20376 - 9300. Let u = a + -132835/12. What is the common denominator of r and u?
108
Let c = 1164793/120240 + 2/7515. Let f = c + -1117/240. Find the common denominator of f and -27/4.
60
Let x = -1/129 + -1330/387. Let w = 1275 - 8867/7. Find the common denominator of w and x.
63
Let c(b) = b**2 + 21*b + 22. Let h be c(-20). Suppose 4*g + w - h*w = 43, 15 = 3*w. What is the smallest common multiple of 16 and g?
48
Let a(n) = 7*n**2 - 4*n + 7. Let r(k) = -k**2 - k. Let p be 0 + (12/(-3) - 2). Let u(w) = p*r(w) - a(w). What is the smallest common multiple of 20 and u(9)?
20
Let j(z) = 5*z + 9. Let p be j(5). Let q = -25 + p. What is the smallest common multiple of 10 and q?
90
Let n = 2/385 - -2687/1540. Let v be (19/4)/(9/(-612)). Let o = -2316/7 - v. Calculate the common denominator of o and n.
28
Let m be 1/(-3)*0/(-8). Find the common denominator of (-21)/(-9) + m - 1/(-3) and 63/8.
24
Let n be 9/(-4) - (-7)/28. What is the common denominator of -2 - (2 - (-70)/8) and 6/(-14) + n/(-21)?
12
Find the common denominator of (-11)/8 - 3*(0 - -1) and 1 - (-3)/(126/(-375)).
56
Suppose -3*f + 0 - 2 = v, 25 = -5*v. Suppose 5*t = 4*k - 2 + 68, 3*k + 12 = 0. What is the smallest common multiple of f and t?
10
Let j(m) = -m + 15. Let l be j(7). Suppose l*u = 4*u - 56. Find the common denominator of u and -13/6.
6
Calculate the common denominator of -187/180 and 55/90 + (-20)/(-15).
180
Let t = -9 - -23. Let h be (-9)/21 + (-31830)/t. Let p = 22789/10 + h. What is the common denominator of p and 101/8?
40
Let t = -151 + 6039/40. Calculate the common denominator of 57/16 and t.
80
Let m be 2/12 + 60/72. What is the lowest common multiple of (-2)/7 - 114/(-7) and 12/(144/28) - m/3?
16
Suppose -7*t + 140 + 133 = 0. Suppose t = -2*k + 95. Let a(h) = 3*h**3 - h**2 + 2*h - 2. What is the least common multiple of k and a(2)?
308
Let p(c) be the third derivative of -5*c**4/24 - 5*c**3/3 + 6*c**2. Let m be p(-8). What is the lowest common multiple of 8 and 2/(-6) + 610/m?
40
Let u = 95003/13380 + -1/2676. Let m be (-200)/28*6/(-128). Let r = -5939/2016 + m. Calculate the common denominator of r and u.
90
Let b = -29/557520 + -73182139/31778640. Let t = -1/342 - b. Calculate the common denominator of t and -27/20.
20
Suppose 53036 = -7*w - 102742. Let g = w + 667561/30. Find the common denominator of -23/18 and g.
90
Let l be -2 + (-96)/(-54) - (-29)/9. Suppose l*s - 16 = -5*t, t + 2*s - 7 + 1 = 0. What is the least common multiple of t and 12?
12
Suppose 75*t - 705 = 28*t. Calculate the least common multiple of 99 and t.
495
Suppose 611 = 25*b - 139. Suppose -2*a = 3*a - 75. What is the lowest common multiple of a and b?
30
Suppose -3*p + 36 = 3*c, 7*p = 5*c + 4*p - 92. Suppose -4*s = -s - 36. What is the least common multiple of s and c?
48
Let f = -3 + 6. Let p(n) = 3*n - 2. Let o be p(f). Let c = o - 4. What is the smallest common multiple of 8 and c?
24
Suppose 62*a = 65*a - 90. Calculate the smallest common multiple of a and 66.
330
Let c(z) = z**3 + 3*z**2 - z - 4. Let x be c(-3). What is the common denominator of 91/2 and -3*(4 + x)/24?
8
Suppose -2*q = 3*w - 20, -3*q = -4*w + 2*w - 4. Let l = w + 26. Calculate the lowest common multiple of l and 9.
90
Let o = 1326 + -24007/18. Find the common denominator of o and 19/15.
90
Calculate the common denominator of 60/160*116/(-18)*5 and 51/160.
480
Let h = 27 - 31. Find the common denominator of 35/8 and (-84)/9*h/(-12).
72
Let c = 438 - 895/2. What is the common denominator of 46/55 and c?
110
Let d(o) = -4*o**2 - 8*o + 8. Let f(j) = 5*j**2 + 8*j - 8. Let s(v) = -4*d(v) - 3*f(v). Let m be s(-10). Find the common denominator of 23/11 and 86/m + 1/2.
33
Let l = 267 + -247. What is the smallest common multiple of l and 120?
120
Let x = 30 + -18. Let f = 20 - x. Calculate the smallest common multiple of 78/f + (-8)/(-32) and 2.
10
Let a(w) = 4*w**2 + 3*w + 2. Let n be a(-2). Find the common denominator of (-242)/6*(-6)/12 and (-2)/n - (4 - -18).
6
Let z be -2 + 1/145380*-63598. Let x = -10/2423 - z. Find the common denominator of x and -7/3.
30
Let i(c) = -c**2 + c - 4. Let f be i(3). What is the common denominator of (3 - 108/32) + (5 - 2) and (291/(-4))/(15/f)?
8
Let h be (0 - (-46)/(-6))/((-12)/(-144)). Calculate the common denominator of 61/18 and ((-35)/4 + 7)*h/66.
198
What is the common denominator of -25/1078 and -6 - -6 - (750/(-132) + 4)?
1078
Let k(n) = -78*n - 779. What is the lowest common multiple of k(-10) and 179?
179
Suppose -6*v = -249 - 15. Find the common denominator of -31/44 and ((-5)/(-1) - 4) + 146/v.
44
What is the common denominator of -39/392 and 1978/184*(-2)/(-5)?
1960
Let c = -13 - -21. Let j be 543/(-39)*-2 + 8/52. Let g = j - 25. Calculate the least common multiple of g and c.
24
Suppose -3*a = 2*a - 35. Let l(x) = -x**2 + 7*x + 23. Calculate the lowest common multiple of l(8) and a.
105
Let b = -1602443/2 + 35128349/44. Let w = 11381/4 + b. Find the common denominator of w and 29/14.
154
Let o be 3/(-5) + (-116028)/20. Let z = 54165092999/9342606 - 4/667329. Let i = z + o. What is the common denominator of i and -151/6?
42
Let l(n) = -2*n**2 + 36*n + 40. Calculate the smallest common multiple of l(18) and 15.
120
Let y = 14579/48 + -1849/6. Let n = -89 + 139. Find the common denominator of y and 20/n + 654/140.
112
Let j = 17091 + -683601/40. Calculate the common denominator of -65/56 and j.
280
Let l = 1835/6 + -313. Find the common denominator of 507/(-60) + 2/(-8) and l.
30
Suppose 2 + 10 = 4*o - 2*m, o - 4*m - 3 = 0. Suppose -3*x + 9 = -24. Let n = x - o. Calculate the smallest common multiple of n and 11.
88
Suppose 3*t - 3 = -h - h, 2*t = -5*h - 9. Suppose -t*x - 4*x + 126 = 0. Let a = -32 - -54. Calculate the smallest common multiple of a and x.
198
Let v = 556/7 - 4511/56. Let y = -23 + 27. Calculate the common denominator of ((-2)/y)/(2*2/190) and v.
8
Let m be (77 + 1)/(2/(-61)). Let r be (-2774)/m + -2 + 4. Let j = r - -1/1586. What is the common