lculate the common denominator of 73/22 and (-27)/360 + u/1.
440
Let c = -14 + 22. Suppose 5*w - 5*i = -25, -1 = -4*i + 3. Calculate the lowest common multiple of 1 + -3 - -4 - 24/w and c.
8
Let c = -1809677/297 - -66834/11. Let d = 45/22216 + -5971765/599832. Let b = d - c. Calculate the common denominator of b and -35/12.
12
Let t(v) = -16*v + 9. Suppose z - 8 = -4*d, -4*z - 33 + 23 = -5*d. What is the least common multiple of 137 and t(z)?
1233
What is the lowest common multiple of 187 and (-6 - (-4*(-1 + -1) - 2929)) + -8?
31977
Let f = -111 - 21. Let x be (855628/f)/(2/(-3)). Let r = 9725 - x. Calculate the common denominator of r and -19/24.
264
Find the common denominator of 58/45 and 968/(-46860) - ((-8)/(-30))/4.
3195
Suppose -374*u - 56 = 6*z - 372*u, u = 2*z + 17. Find the common denominator of (63/(-30))/((-4)/8) and z.
5
Let j = 16813/4 + -121531/28. Let u = 8289/56 + j. Calculate the common denominator of -55/6 and u.
24
Let t = -946219/153 + 18554/3. Find the common denominator of t and 59/663.
1989
Let y(r) = 3*r**2 - 6*r. Let n be y(6). Suppose -3*u - 147 = -2*x, -7*u + 395 = 5*x - 9*u. Let m = x - n. What is the smallest common multiple of m and 85?
765
Let l = 302555 + -194240353/642. Find the common denominator of l and -113/54.
5778
Let w be ((-1231)/116*1)/(-10). Let s = w - -12/29. Let k = -2337/2 - -1127. Find the common denominator of s and k.
40
Let v(b) = -2*b**3 - 29*b**2 - 11*b + 57. What is the lowest common multiple of 21 and v(-14)?
105
Let w = 2131/7 + -309. Suppose -1488 = -4*y + 5*t, 4*t = -y + 5*t + 372. Let b = -1856/5 + y. What is the common denominator of w and b?
35
Let o = 104451/88 + -14892/11. Let z = 2619/16 + o. Calculate the common denominator of -163/30 and z.
240
Let z(t) = -t**3 + 7*t**2 - 7*t - 11. Let n be z(5). Let r be (n/3 + 0)/(8/12). What is the common denominator of 186/4 - (1 - r) and 3/5?
10
Let g = 35838 + -4730567/132. Let f = 6884263/84 - 81957. What is the common denominator of g and f?
924
Suppose -9*b = 8*b - 51. Suppose 0 = -4*l - 3*m + 6, 0*l - 5*l + 21 = -b*m. What is the lowest common multiple of l and 6/(-21) + 65/7?
9
Let o(y) be the first derivative of -y**4 - y**2/2 - 2*y + 15. Let z = -251 + 252. Calculate the lowest common multiple of o(-1) and z.
3
Let h = 56 - 55. Calculate the common denominator of -29/12 and 5 - (79/4 - h) - 2.
12
Suppose 0 = 5*j - 4*v - 19, 5*j - 20 = 3*v + 2*v. Suppose -5*a + 5 - 9 = j*t, 3*t - 3*a - 12 = 0. Calculate the lowest common multiple of 348 and t.
348
Suppose -m - h + 12 = 0, 76 = 4*m - 6*h + 3*h. Suppose 23 = 2*r + p, 3*r = 5*p - 0*p + 54. What is the lowest common multiple of r and m?
208
Let u = 554/31 + -7523/558. Find the common denominator of 7/(-7)*83/50 and u.
450
What is the common denominator of 4917/(-3256)*((-35)/90 - 30/(-36)) and -52/111?
222
Suppose 24*c - 715 = 11*c. Calculate the lowest common multiple of 1/(2 + 87/(-45)) and c.
165
Suppose 0*z + 3*z = -2*v + 111, -5*z = 4*v - 187. Calculate the lowest common multiple of z and 10.
70
Let f = 408949/77 - 149340251/2310. Let a = f - -59333. Find the common denominator of a and 5/(-1 - -6) - 50/108.
270
Let v = -173 - -189. Suppose 0 = -3*h + 2*c + 14, 0*h - 4*h = -2*c - v. What is the smallest common multiple of 50 and h?
50
Let u = 101/10740 - -234/179. Calculate the common denominator of u and 87/670.
4020
Let n(y) = y - 6. Suppose -2*a = 9 - 21. Let f be n(a). Suppose 0*j + j + 5*c - 11 = f, 2*j = -2*c + 14. What is the smallest common multiple of j and 6?
6
Let l(b) = -b**3 - 13*b**2 - 15*b + 18. Let o(v) = 6*v**2 - v + 1. What is the lowest common multiple of o(-2) and l(-12)?
54
Let z = -190 + 224. What is the common denominator of -87/248 and z/36*300/(-20)?
744
Let p be (-138132)/144*(-136)/(-6). Let z = 3370228/155 + p. Calculate the common denominator of -7/10 and z.
310
Let o be (-1 - 1)/2*(-705044)/(-72). Let l(x) = 9796*x**2 + x. Let b be l(-1). Let v = o + b. Find the common denominator of -103/12 and v.
36
Let y = 215 + -196. Let s(i) = -5*i + 100. Suppose -2*a = 6, -2*u - 5*a - 5 = 6. What is the least common multiple of s(y) and u?
10
Let s = 2/7927 + 134447/1236612. What is the common denominator of s and 103/1508?
4524
Let x(u) = -u**3 - 10*u**2. Let b be x(-10). Suppose o + b*o + 2*c + 16 = 0, -c = 3*o + 53. Find the common denominator of -1 + (-33)/(-27) - 95/o and -79/14.
14
Let j(c) be the third derivative of 10*c**2 + 0 + 1/30*c**5 + 1/2*c**3 + 13/24*c**4 + 0*c. What is the smallest common multiple of j(-7) and 10?
10
Let h(w) = 173*w + 1440. What is the smallest common multiple of h(-6) and 9?
1206
Find the common denominator of 12/(-42)*847/(-24) and (-6)/(-20)*(0 - (-140)/(-32)).
48
Let j = -725453 - -1038123197/1431. What is the common denominator of j and -97/54?
2862
Let a = -66 - -62. Let z be (a/(-8) + 3 + -3)*2. Suppose -j = z - 13. Calculate the lowest common multiple of 6 and j.
12
Let n = 322 + -190. Suppose -3*g = -25 + 19. What is the least common multiple of n and g?
132
Let u be ((-3)/(-33))/((-2)/(-46008170)). Let f = -2092724 + u. Let x = 1445 + f. Find the common denominator of x and -101/28.
308
Suppose -t + 56 + 137 = 0. What is the smallest common multiple of t and 71/(3905/600) - (-5)/55?
2123
Suppose -5*q = -2*j + 42 + 23, j - 5*q = 25. Suppose -16*y + 11*y + 5 = 0. What is the common denominator of 415/j + (1 - (y + 0)) and -73/8?
8
Let z = 3/358738 + 48824421151/2152428. Let a(u) = 1220*u - 736. Let q be a(-18). Let i = q + z. Calculate the common denominator of -77/20 and i.
60
Let b = 14794/23 - 44306/69. Find the common denominator of (-735)/55*(-1)/(-9) and b.
759
Let w = -3051/2 - -1566. What is the common denominator of (-113)/1130*138/14 and w?
70
Let m be (3 + 12/(-8))*(-160)/4. What is the common denominator of 328/m*(-1 + 28/33) and -67/99?
99
Suppose 144*y - 138*y - 1278 = 0. Find the common denominator of ((-6)/(-168))/(y/(-102) - -2) and 69/28.
84
Suppose 28*f - 24 - 172 = 0. Suppose -85 = -5*b - w + f, 2*b - 4*w - 28 = 0. What is the lowest common multiple of b and 78?
234
Suppose 108*f + 2324 = 17012. What is the lowest common multiple of f and 26?
1768
Find the common denominator of ((-6)/(-9) + 1/(-2))*14/(-9) and -133/270.
270
Let j = -687 + 733. Suppose 0 = 3*s + 3, -5*v = -2*s - 82. What is the smallest common multiple of j and v?
368
Let k = -272602583/690 + 395076. Find the common denominator of -50/1587 and k.
15870
Let r be 8/(-28) + 3/5427*-2542. Let y = 46/27 + r. Let i = 14593/4221 - y. What is the common denominator of 1/2 and i?
18
Suppose -20*p - 20 = -16*p. Let d be 2*(4 + p + -3). What is the lowest common multiple of -3*(-4)/(-6) - d and 5?
30
Suppose 0 = -6*i - 23 - 1. Suppose -4*m + 5*t + 91 + 56 = 0, -2*m = t - 63. What is the smallest common multiple of 27 and (-1)/(6/i) - (-242)/m?
216
Let b = 5/6 - -203/12. Let g = -55395700 + 1330103537/24. Let x = g + -25285. Calculate the common denominator of x and b.
24
Let i = 43 + -25. Let u(h) = h**3 - 6*h**2 + h - 4. What is the lowest common multiple of (-1)/6 - (-3)/(i/181) and u(6)?
30
Let a = 75142993/706451900 - 2/642229. What is the common denominator of a and -35/44?
1100
Let k = 8787 - 2003549/228. What is the common denominator of (99029/840)/(-47) + 3/(-15) and k?
456
Let o(a) = 1430*a**3 - 5*a - 4. Let u be o(-2). Let d = u - -274481/24. Find the common denominator of 45/8 and d.
24
Suppose -10 = 274*p - 272*p + 4*g, 5*g + 29 = -p. What is the least common multiple of (82/(-6))/((-2)/6) and p?
451
Let b(k) = k**2 - 3*k - 15. Let g be (-92)/(-14) + (-42)/(-98). Let q be b(g). Calculate the smallest common multiple of 24 and 2 - (-4 - q) - 1.
72
Calculate the common denominator of (-6*(-28)/96)/((-51)/(-13)) and 37/2.
204
Let g(h) = h**3 - 2*h**2 - 7*h + 3. Let r be g(-3). Let a(m) = -m**3 - 18*m**2 + 65*m + 45. What is the lowest common multiple of 9 and a(r)?
9
Let g = -942316 + 3047449997/3234. Calculate the common denominator of g and 17/22.
3234
Let q = -358 - -394. Suppose -7*i + 23 = -19. Calculate the lowest common multiple of q and i.
36
Let b = 1015552 - 1029769853/1014. Find the common denominator of b and -99/1690.
5070
Calculate the common denominator of 127/420 and 1/(-2) - 5/(-6) - (-825)/(-2016).
3360
Suppose 0 =