Let y(k) = 29*k**3 + 2*k**2 + 2*k + 1. Let v be y(-7). Let f = v + 157697/16. Let i = -733/90 - -41/5. Find the common denominator of f and i.
144
Let g(q) = q**2 - 26*q + 199. Calculate the smallest common multiple of g(9) and 3.
138
Let u(v) = -8*v**2 - 1. Let j be u(1). Let m(y) = -y**3 - 8*y**2 + 9*y + 11. What is the least common multiple of 17 and m(j)?
187
Let a(r) be the third derivative of r**5/15 + 5*r**4/24 - 10*r**2. Let n be a(-2). Let q = 8 + n. What is the lowest common multiple of 18 and q?
126
Let h(s) = 21*s + 336. Calculate the lowest common multiple of h(-11) and 15.
105
Let g = 3/4337 + -212573/86740. Calculate the common denominator of g and -49/306.
3060
What is the lowest common multiple of (2*14/(-12))/(8/(-96)) and 12?
84
Find the common denominator of 206/28 + (-98)/(-196) and -3 + 5 + 172/(-18).
63
Let y = 6389/1116 + -215/36. What is the common denominator of 89/6 and y?
186
Let j = -4/3 - 4/3. Find the common denominator of 4/(-16) - (-422)/(-264) and j.
33
Let z = -13156066852 + 394629532709/30. Let q = -1749508 - z. Let d = -1256/3 - q. What is the common denominator of 45/11 and d?
110
Let o be 31 + -2 + 12/3. Suppose -4*d + 63 = -o. What is the least common multiple of d and 12?
24
Let n be -1 - 2 - 358236/(-99). Let o = -3619 + n. Let r = 1387/2 + -719. What is the common denominator of o and r?
22
Let f = 2981435679183779/39248 - 75964015476. Let g = 3/2453 - f. Calculate the common denominator of 23/24 and g.
48
Let i(p) = -8*p - 11. Let v be i(5). Let n be 20/(-70) + v/(-7). Let q = n + -4. Calculate the lowest common multiple of q and 4.
12
Let r = 772 - 754. Let l be 36/10 + 6/15. Suppose 2*j - l*j = -40. What is the smallest common multiple of j and r?
180
Let c = 668 + -668. Let p(m) = -m**3 + 4*m**2 - 4*m + 3. Let g be p(3). Calculate the least common multiple of 18 and g/(-1) + c + 10.
90
Let b(i) = 44*i + 2. Let n be b(1). Suppose 4*j = 18 + n. Calculate the lowest common multiple of j and 12.
48
Let z(y) = y**3 + 32*y**2 + 30*y - 22. Calculate the smallest common multiple of 3 and z(-31).
9
Let p(m) = -m**2 - 17*m - 12. What is the least common multiple of 55 and p(-9)?
660
Suppose -l - 5*y + 38 = -24, 2*l = y + 146. What is the lowest common multiple of l and 9?
72
Let m = 164651/19890 - 1/3315. Calculate the common denominator of m and (-2 + 25)/(-24 + 6).
18
Let t = -335/8 - -105/2. Let h be (-4)/(-10) - 16244/60. Let g = 266 + h. Calculate the common denominator of g and t.
24
Let k(n) = -n**3 + 3*n. Let c be 4/(-6)*(-9)/(-2). Calculate the smallest common multiple of k(c) and 14.
126
What is the lowest common multiple of 48 and (-92)/(-16) + -4*(-8)/128?
48
Calculate the common denominator of 29/12 and (7/(-6) - -1)*(-2478)/84.
12
Let c(w) = 14*w**3 + 7*w**2 - 3*w + 1. Let n be c(5). Let q be 115256/60 + 1/(-3). Let b = n - q. Find the common denominator of 21/11 and b.
55
Let d(o) = o**3 - 16*o**2 - 38*o + 40. What is the least common multiple of d(18) and 204?
204
Let c(k) = -9 - 8 + 14*k**2 - 9*k**2 - 3*k - 4*k**2. What is the smallest common multiple of 8 and c(-4)?
88
Let m = 431 + -409. What is the least common multiple of m and 56?
616
Suppose -17 = -3*s + 28. Calculate the least common multiple of s and 69.
345
Let q(x) = -x**3 + 5*x**2 - 4*x + 2. Let u be 6 + (-16)/(-3 + 7). Calculate the lowest common multiple of 1 - ((-17 - -4) + -2) and q(u).
48
Let g = -380/303 + 194/101. Find the common denominator of (4/(-18))/((-2)/32) and g.
9
Let k = -5457/14 + 107047/280. Let v be (4*5/(-100))/(72/(-1659)). Let i = v - k. Calculate the common denominator of 95/16 and i.
48
Let k(u) = -3*u + 8. Let b(v) = 13*v - 33. Let z(p) = 2*b(p) + 9*k(p). Calculate the lowest common multiple of z(-6) and 2.
12
Suppose 0 = 5*w + 15, 3*y - 5*y + 4*w - 1330 = 0. Let x = y + 10805/16. What is the common denominator of 33/14 and x?
112
Suppose 0 = 22*y - 15*y - 35. What is the lowest common multiple of 74/10 + (-2)/5 and y?
35
Suppose -16365 + 5645 = -8*v. What is the smallest common multiple of 3 and v?
4020
Let r(c) = c**2 - 8*c - 2. Let t = 17 + -7. Suppose -90 = -5*a - 3*h, -2*a + 72 = 2*a - h. Calculate the smallest common multiple of a and r(t).
18
Let h(k) = 3*k - 18. Let s be h(8). Suppose -s*n = -246 - 1314. What is the common denominator of -32/11 and 1 - (n/16 + -2)?
44
Let i(p) = 11*p**2 - 5*p - 3. Let b be i(5). Suppose -25*k + 23*k = 1560. Find the common denominator of (-2)/6 + b/k and -111/44.
220
Calculate the smallest common multiple of (3/(-6))/(28/(-1064)) and 76.
76
Let a be ((-28)/70)/((-1)/(-145)). Let b = a + 35. Let n = b - -45. Calculate the least common multiple of n and 4.
44
Let p = -7712173/10592310 + 2/92915. Calculate the common denominator of -19/27 and p.
1026
Let w = -773/1050 - 1/42. What is the common denominator of w and -42?
25
Let x = 42 - 38. What is the common denominator of -53/22 and (-70)/195*-3*1/x?
286
Suppose -i + 5 = -5*s + 4*s, 4*s = i + 10. Calculate the lowest common multiple of 8 and (i/15)/((-2)/(-6)).
8
Let x be (2/(-24))/(26340/514617424). Let h = 1163/4390 - x. Let p = h - 1629. What is the common denominator of 97/18 and p?
18
Let k be (-1420)/(-5215) - (-2)/(-7). Let z = -4897/1490 + k. Calculate the common denominator of z and 59/14.
70
Let o = 19 - 14. Find the common denominator of 97/2 and 3 + (380/(-78))/o.
78
Let o(t) = 13*t - 2*t - 4*t - 4*t + t**2. Calculate the smallest common multiple of 22 and o(3).
198
Let c = -80325/22 - -3655. Calculate the common denominator of -95/22 and c.
22
Let m(n) = 2*n + 1. Let c be m(-2). Let s = -5 - c. Let d(p) = -p**3 + 3*p**2 + 3*p. Calculate the smallest common multiple of 8 and d(s).
56
Suppose 0 = -3*v + 5*d - 542393, -2*v - 2*d - 2*d = 361566. Let j = -1465367/8 - v. Let m = -2377 - j. What is the common denominator of m and -61/8?
8
Calculate the smallest common multiple of (453 + 7 - -6) + (10 - 8) and 18.
468
Let s = 796437504 + -3110884911103/3906. Let g = 8/279 + s. Let u = -14327/8 + 1794. Calculate the common denominator of g and u.
56
Let u be (2 - 1 - -3) + (0 - 1). Suppose t + 2*a - 4 = -3*a, 6 = -u*a. Suppose 5*p + 16 - 46 = 0. Calculate the least common multiple of t and p.
42
Let x be 51/12 - (-8)/(-32). Suppose 76 = 4*b - 0*c + x*c, 3*b + c - 51 = 0. What is the lowest common multiple of b and 58?
464
What is the common denominator of 4/12 - 39/(-72) and 2/1 - (3 + 118/(-20))?
40
What is the common denominator of 37/10 and (-2340)/536 - (-2 - 2)?
670
Let q(z) = 2*z**2 + 2. Suppose 0*i + 2 = -i. Suppose 4*r - 21 + 1 = 0. Calculate the smallest common multiple of r and q(i).
10
Let f = 1356 + -254. What is the smallest common multiple of f and 22?
12122
Let m = 4700/63 + -495/7. Calculate the common denominator of m and 77/45.
45
Let i = -82/11631 - 40570667/8002128. Let w = i + 6/43. Find the common denominator of 109/22 and w.
176
Let c be 3/((-18)/(-74))*3. Suppose 4*q - 5*m = -4*m + c, -2*m - 18 = -q. What is the lowest common multiple of q and 2?
8
Let g be (27770/(-19))/(-2) + 3 + -6. Let w = -728 + g. Find the common denominator of 50 and w.
19
Let z(p) = 22*p**2 - 5*p - 1. Let y be z(5). Calculate the common denominator of -5 + 10/((-900)/(-85)) and (-2)/(-6) + y/(-96).
72
Let s = 5574 - 8801344/1579. Let i = 58439/12632 - s. Find the common denominator of (-5)/6*(-1 - (-224)/10) and i.
24
Let h = -730 + 915. What is the lowest common multiple of 45 and h?
1665
Find the common denominator of 3/(-6 - (-420)/52) and 113/40.
360
Let d be ((-3)/6 + 2)*-2. Find the common denominator of (6/55)/d*65 and (-8)/(-16)*274/6.
66
Suppose 0 = -61*c + 76*c - 4965. What is the smallest common multiple of 5 and c?
1655
Suppose 15*z = 14*z + 12. Suppose -54 = 6*j - z*j. What is the least common multiple of 9 and j?
9
Let k = -492/37 - -9400/629. Let y = 1405/884 - k. Find the common denominator of -39/4 and y.
52
Suppose 2*j = -j - 66. Suppose 0 = -5*t + 5*n + 10, -2*t + 2*n = 3*n - 16. What is the least common multiple of t and (2*4)/((-11)/j)?
48
Suppose 3*o - 33 = -m + 3*m, 5*m = 5*o - 55. Calculate the smallest common multiple of o and (24/(-20))/(3/(-45)).
198
Let a(s) = 1400*s - 14. Let y be a(7). Let o be y/(-30) - (-2)/(-5). Let n = 6127/20 + o. What is the common denominator of n and -59