87/959719540 - -6/47985977. Let g = -20923 - y. Find the common denominator of g and 82/45.
180
Find the common denominator of -13/9 and 9*(-1 + (-40)/(-25)).
45
Suppose 4*g + v - 85 = 0, 3*v - 2*v = 5. Calculate the common denominator of (2/(-5))/(g/2375) and -47/2.
2
Let x = -90997/75 + 6069/5. Calculate the common denominator of x and -50.
75
Let k = -42 + 56. What is the common denominator of 57/44 and (2 + -7)*3/k?
308
Let n(j) = 11*j - 45. Let m(o) = o**3 + 5*o**2 + 2*o + 2. What is the lowest common multiple of n(5) and m(-4)?
10
What is the smallest common multiple of 20 and -1 + (-2)/8 - 4444/(-176)?
120
Suppose 2*h + 5*a - 45 = h, 2*h - a - 68 = 0. Let g = h - 2. Calculate the common denominator of -8/7 and g.
7
What is the common denominator of 692/(-1384)*(0 - 85/2) and -41/22?
44
Let d = -217 - -119. Find the common denominator of 11/14 + (-42)/d and -85/22.
154
Let d(q) = q**3 + 5*q**2 - q + 1. Suppose 0 = -4*u - 14 + 38. What is the least common multiple of u and d(-5)?
6
Let j = -176 - -192. Calculate the smallest common multiple of j and -4 + 6*2/1.
16
Let v be (5/(-2) + 1)*(-40)/6. Calculate the smallest common multiple of 7 and (-14 + v)*8/(-2).
112
Let v = -7636 - -4458. Let u be v/12664 + 3/12. Let z = u - -81541/17413. Calculate the common denominator of 47/2 and z.
22
Suppose -3*m = -3*o + 4 - 40, 5*m = 2*o + 51. Let y(h) = h**3 + 3*h**2 - 6*h - 3. Let c be y(-4). Let l = c - 1. What is the least common multiple of m and l?
36
Let o = 10255/482 - -8653005/3856. Let g = o - 2267. Calculate the common denominator of g and 43/8.
16
Let g = 62 - 58. Suppose 4*o - g*d = 32, -1 = -5*o + 3*d + 31. What is the smallest common multiple of -2 + (1 - -11) - 1 and o?
36
Suppose -4*f - 17 + 29 = 0. Suppose 0 = 5*d - 3*d. Let w = f + d. What is the lowest common multiple of 7 and w?
21
Let x = -59 - -114. What is the least common multiple of 40 and x?
440
Suppose -c - f + 61 - 2532 = 0, f = -5*c - 12351. Let o = 17257/7 + c. What is the common denominator of 8/(-10)*26/208 and o?
70
Calculate the common denominator of 169/42 and 3/((-6)/(-4))*12935/(-1194).
42
Suppose 3*f + 5*t - 69 + 15 = 0, -5*f + 90 = 3*t. What is the lowest common multiple of 490 and f?
4410
Suppose -17*x - 271 = -1223. What is the smallest common multiple of 40 and x?
280
Let y = -76407/14 - -5455. Calculate the common denominator of y and (-111)/6 - (4 + -3).
14
Let i(g) = g**3 + 11*g**2 + g + 67. Calculate the least common multiple of i(-11) and 28.
56
Let f(v) = -24*v - 28. What is the smallest common multiple of 46 and f(-2)?
460
Let j(f) = -f**2 + 7*f - 2. Let q = -86 - -4. Let n = 85 + q. Calculate the smallest common multiple of n and j(6).
12
Let m be 243054444/7200 - 4/6. Let p = m - 33757. Find the common denominator of 123/10 and p.
200
Calculate the common denominator of 111/22 and (-54)/36 + (14240/2342)/4.
25762
Calculate the least common multiple of 8 and -8 + (-19)/(95/(-130)).
72
Calculate the common denominator of ((-57)/(-28))/(-1) - (-3)/1 and -39/22.
308
Suppose 0 = -3*l + 8 - 2. What is the smallest common multiple of l and (1 - (-35)/(-25))*-10?
4
Let h(u) = 31*u - 1. Let d be h(2). Let v = 70 - d. What is the lowest common multiple of 4 and v?
36
Let u be (-8 - -38)*2/6. Let p be (-28910)/14850 - 4/u. Let v = p + 301/54. What is the common denominator of v and -13/18?
198
Let t = -750/151 - -65597/11778. Find the common denominator of t and 5/234.
234
Let r = -1738 + 1749. Let y(j) = -3*j - 1. Let k be y(2). Let z = k + 10. Calculate the smallest common multiple of z and r.
33
Let o = -2548 - -17872/7. What is the common denominator of o and ((-36)/(-40) + -1)*119?
70
Let s be (-4331)/8 + -2 + 0. Let m = -531 - s. Find the common denominator of m and 1/(-4) + 11/36.
72
Let a(f) = -31*f - 360. Calculate the smallest common multiple of 450 and a(-12).
900
Let c(v) = v**2 - 13*v + 17. Let y be c(12). Calculate the common denominator of y/30 + (-122)/48 and -49/8.
8
Suppose v - 3*i - 19 = -4*i, 0 = -4*v + 5*i + 67. Calculate the lowest common multiple of v and 6.
18
Let d = -8786/21 - -417. What is the common denominator of 155/156 and d?
1092
Let b(l) = 6*l - 10. Let u be (6/3)/1 - -7. Let z be b(u). Calculate the least common multiple of 14 and (4 + 0)/(8/z).
154
Let r = -107/5 + 65/4. Let x = -135911/13368 + 1/4456. Find the common denominator of r and x.
60
Let v = -14 + 20. Let l(x) be the third derivative of -x**5/60 + 5*x**4/12 - x**3/2 - 2*x**2. Calculate the smallest common multiple of v and l(9).
6
Let i = 13055/1276 - -6/319. Let a = -19417866075599/10056 - -1930973161. Let v = a - -1/1257. Find the common denominator of i and v.
8
Let g = -461/130 - -102/13. Let u = -46615/12 - -3889. Calculate the common denominator of g and u.
60
Let j = 3469867/54 + -64259. Find the common denominator of j and 1/48.
432
Let g = 70/277 - 21755/3878. Calculate the common denominator of g and 41/194.
1358
Suppose -2*s = -5*d + 208, 5*s - 196 = -5*d + 4*s. Calculate the common denominator of 4 - 175/d - -4 and 87/14.
56
Find the common denominator of (-13 - (-431)/32)*(-38)/5 and 1/216.
432
Let y be ((-132)/(-3))/4 - (4 - 0). Calculate the smallest common multiple of 4 and 16/y + (-12)/42 + -1.
4
Let w = -10 - -20. Find the common denominator of -139/24 and 734/(-180) - 2/w.
72
Let x(r) = r**2 - 6*r - 11. Let j be x(8). Let u = 398 + -3523/9. What is the common denominator of (-28)/(-16)*j/7 and u?
36
Let t(n) = n**3 + 8*n**2 - 9*n - 4. Let h be t(-9). Let q be (-91571)/15*(-6)/h. Let g = q - -9146. What is the common denominator of g and -1/6?
30
Let a(p) = 7*p - 42. Let f be a(6). Suppose f = n - 7 - 13. What is the smallest common multiple of 6 and n?
60
Let u = -104/171 + 23344/31635. Find the common denominator of -29/444 and u.
2220
What is the common denominator of -79/12 and ((-120)/140)/((-32)/434)?
24
Let o(d) = -d**3 + 8*d**2 - 9*d + 38. What is the lowest common multiple of 216 and o(7)?
216
Calculate the least common multiple of 36*((-66)/(-8) + (-42 - -36)) and 81.
81
Suppose -900 - 288 = -2*f. Let m be ((-1)/(-3))/(9/f). Let d = m + -14. Calculate the smallest common multiple of d and 4.
8
Let m = 263/2 + -134. Let w be (-2)/(-3) - 9820/(-45). Let u = w - 1343/6. Find the common denominator of m and u.
18
Let d = 0 - -2. Let w = -1273 + 12787/10. Calculate the common denominator of d/(-5) - (-391)/(-10) and w.
10
What is the lowest common multiple of (-821)/(-3) - 44/66 and 49?
1911
Let j = 24 + -3. Let i(f) = f**3 - 18*f**2 - 45*f + 105. Calculate the least common multiple of j and i(20).
105
Suppose 3*k - 137 = -5*x, 4*x + 122 - 239 = 5*k. Calculate the least common multiple of 112 and x.
112
What is the common denominator of 152/2*(-4 - 2)/54 and -20/681?
2043
Suppose 3*u - 10 = -4*i, 7*i - 2*i + 2*u - 16 = 0. Calculate the smallest common multiple of (-2)/3*-3 + (-44)/(-2) and i.
24
Let m(c) = c**3 + 4*c**2 - 6*c. Let a be m(5). Suppose -a = -4*i + 25. What is the smallest common multiple of 25 and i?
275
Let h(z) = z**2 + 3*z + 6. Calculate the smallest common multiple of h(-6) and 69.
552
Let f = 55/63 + 5/9. What is the common denominator of f and 16/9?
63
Suppose -134 = -16*u + 26. Calculate the lowest common multiple of u and 176.
880
Let j = 637 + -1934/3. Calculate the common denominator of j and (86/5)/(14/35).
3
Let w be -4 + -2 + 2 + 4. Suppose w = 2*o - 49 + 5. What is the smallest common multiple of 12 and o?
132
Suppose 69 = -4*h + 269. Suppose s - h = -47. What is the least common multiple of 9 and s?
9
Let x be 6 + (-1 - -2) + -5. Suppose -x*p = 10, -i - 45 = -6*i + 5*p. Calculate the lowest common multiple of 4 and i.
4
Suppose -2*p - 2 = 2*v, -7*p - 3*v = -11*p - 39. Suppose -3 + 35 = 4*u. Let o = p + u. Calculate the smallest common multiple of o and 16.
16
Let s = 1609/399 - 10/57. Calculate the common denominator of (2*14/60)/(29/(-609)) and s.
35
Let d(r) = r**3 + 34*r**2 - r + 42. What is the least common multiple of d(-34) and 4?
76
Suppose -b + 2*b = -1, 0 = 3*j + b - 17. What is the smallest common multiple of j/(-27) + (-1090)/(-45) and 20?
120
Let a = -2945599/75 - -39274. Let d = 334/675 - a. What is the common denominator of 115/18 and d?
54
Let r(c) = 2*c**2 - 3*c + 7. Let l be r(-5). Let a = l -