 common denominator of b and (22/27)/((-1)/6)?
36
What is the common denominator of 2*(-2)/672*(-111438)/6273 and 55/4?
1428
Let q be -1*(-1 + 0)*18. Find the common denominator of (-339)/(-12)*4/q and -5 + (-21 - (-328)/20).
90
Let z = 330 - 7253/22. Calculate the common denominator of z and 74/14 - (-31)/62.
154
Let z(p) = -p**3 - p**2 - 2*p + 56. Let h be z(0). Let o = 3383 + -3373. Calculate the least common multiple of (-14)/h - (-73)/4 and o.
90
Find the common denominator of 122/(-324)*(-18)/(-6) and (819/(-16))/(-13)*2.
216
Let t = -79 - -78. Calculate the common denominator of -31 and 2*t + ((-260813)/(-2058))/53.
294
Let j(g) = -8*g**2 - 29*g - 75. Let c(h) = -7*h**2 - 29*h - 76. Let b(i) = 7*c(i) - 6*j(i). What is the least common multiple of 88 and b(-23)?
616
Suppose -2*x - 310 = -2*g - 1018, -4*x = -g - 1422. Let m = x + -160. Suppose -2*i - 3*i = -110. What is the lowest common multiple of i and m?
2156
Suppose 0 = -40*b + 103*b - 10206. Calculate the lowest common multiple of 324 and b.
324
What is the common denominator of (-259)/(-518) + ((-230)/(-336))/(-1) and 43/384?
2688
Suppose 2*z - 4*w - 78 = -22, 82 = 4*z - 2*w. Let h = -239 - -257. What is the lowest common multiple of 48/h*(5 - -1) and z?
144
Suppose 8990 = -42*v + 11*v. Let l = v + 346. Calculate the smallest common multiple of 18 and l.
504
Suppose -x + 5*s + 34 = 9, -3*x - 5 = 5*s. Suppose -x*f = -19 - 1. Calculate the least common multiple of f and 40.
40
Let f = 13873/8 + -1733. What is the common denominator of f and ((-6 + 4)*-1)/36?
72
Let y(t) = -t**2 + 9*t + 22. Let v be y(11). Suppose v = 5*g - 3*g - 0*g. Find the common denominator of 30/(-56) + g/(-1) and -29/16.
112
Suppose -13*d + 18*d = g + 119, 2*d + 4*g - 52 = 0. Find the common denominator of 2/1997 and d.
1997
Let i = -558 + 565. Let v(m) = 7*m + m + m**3 + 3 + m**2 - 9*m**2. What is the smallest common multiple of v(i) and 6?
30
Let o = -334995113683/6325 + 52963653. Let m = 26/253 - o. Calculate the common denominator of -11/20 and m.
100
Let q = -107 + 190. Let t = q - 38. Calculate the lowest common multiple of 3 and t.
45
Let b = 770941/32 + -24094. Calculate the common denominator of 75/(-24)*(-68)/30 and b.
96
Calculate the least common multiple of (7176/(-5382))/((5/(-54))/5) and 1608.
4824
Let r be 3/(3/(-2))*(-76)/3097. Let l = -336072724/489 - -687275. Let c = r - l. What is the common denominator of c and -17/24?
24
Let j be (4 - (-28)/(-16))*(-32)/(-6). Suppose j*m = 14*m - 198. Calculate the least common multiple of m and 33.
99
Let c(q) be the third derivative of -q**5/60 + q**4/2 + q**3/3 + 11*q**2. Let n(p) = 31*p - 21. What is the least common multiple of c(10) and n(1)?
110
Let u be 12/(-18) - 2660/(-12) - 3. Suppose -u*f = -202*f - 288. What is the smallest common multiple of f and 150?
450
What is the common denominator of ((-55)/330 - 1/((-778)/(-2966))) + 4 and -4/21?
16338
Suppose -2 + 8 = -2*i. Let t be ((-6)/(-2))/((-348)/(-464)). Calculate the lowest common multiple of 15 and (-2)/(-8) + 39/t + i.
105
Let t(g) be the second derivative of g**5/20 + g**4/3 - 19*g**3/6 - 18*g**2 - 11*g + 2. What is the lowest common multiple of 10 and t(-6)?
30
Suppose 0 = -202*s + 313*s - 189*s + 156. Suppose 2*q - 2*u - 12 = 2*u, 3*u = 3*q - 21. Calculate the lowest common multiple of s and q.
8
Suppose -179 = -4*w - 67. Suppose -5*a = -2*a + l + 2, -5*a - 10 = 3*l. What is the lowest common multiple of w and (-3)/a*16/(-12)?
28
Suppose -i = i - 96. Let r(j) = 364*j**2 - 4002*j - 13. Calculate the least common multiple of r(11) and i.
144
Let a = -856639966049/188324199492 + 9/45226753. Let y = -12/347 + a. Calculate the common denominator of 284/(-24) - (-1)/4 and y.
12
Let s be -15 - (1 + (4 - 4)). Find the common denominator of (-7)/14*(-260)/s and -59/20.
40
Let x be ((-10847815)/310 - 6) + 5. Let w = 34995 + x. What is the common denominator of -61/8 and w?
248
Let z be (-562)/(-15)*(8 - 708/96). Let a = 31523/1380 - z. Calculate the common denominator of a and -45.
115
Let f(o) = 5*o**2 + 70*o - 397. What is the lowest common multiple of f(5) and 20?
780
Let n be ((-47811)/9)/(4/(-3)). Let v = -3964 + n. Find the common denominator of v and (-3)/(-6) + 46/6.
12
Let v(h) = 12*h**2 - 11*h + 20. Let m be v(6). Suppose -13*b + 4 = -m. What is the lowest common multiple of b and 9?
90
Find the common denominator of 6 + -14 + 319/48 and (959/(-42) - 1)/(-3).
144
Suppose 33*o + 539 = 35*o - 3*d, 0 = -3*o + 3*d + 807. Calculate the lowest common multiple of o and 114.
15276
Calculate the common denominator of 41/7791 and (4/(-14))/(10 - (-1202)/(-119)).
15582
Suppose 15 = -5*h - 4*o, 2*h + 5*o + 20 = -3. Calculate the smallest common multiple of 110/22 + h*2/2 and 223.
1338
What is the common denominator of -36/1823 and (190/(-32))/(((-527)/68)/31)?
7292
Let s = -107 - -102. Calculate the lowest common multiple of 26 - ((-35)/s - 3) and 18.
198
Let o(i) = i**3 - 17*i**2 + 54*i + 2. Let n be o(6). What is the common denominator of (15/180)/(8/n) and 137/126?
1008
Suppose 1 = r - 1. Suppose 0 = -3*a + 5*d - 22 + 8, -12 = -2*a - r*d. Calculate the lowest common multiple of ((-48)/6)/(12/9 - a) and 4.
12
Let g = 29218/11 + -2661. Calculate the common denominator of 114/9*18/(-32) and g.
88
Let g = -5442/71 - -190794/355. Let a = 14009/30 - g. Calculate the common denominator of a and -101/22.
66
Let w(j) = 433*j + 411. Calculate the smallest common multiple of 4 and w(11).
10348
Let x(w) = w**3 + 18*w**2 + 28*w - 60. What is the least common multiple of x(-16) and 36/15*80/6?
32
Let l be (7/2 + -2)*-2*1. Calculate the common denominator of 46/11 and (2/l + (-2190)/90)/16.
176
Let b = -80 + 85. Suppose b*x + q = 4*q + 10, -10 = 2*q. What is the lowest common multiple of x/7 - 377/(-91) and 14?
28
Suppose c + 5*f + 1 = 0, 4*c + 18*f - 16*f = -22. What is the common denominator of (1600/(-156) - c)/4 and 46/117?
234
Let x(n) = -8*n**2 - 80 + 19*n + 0*n**2 + 9*n**2 - 11*n + 21*n. Calculate the smallest common multiple of 8 and x(3).
16
Let h(y) = y**3 + 31*y**2 + 27*y - 72. Let j be h(-30). Suppose 0 = -11*k + j*k - 1848. What is the smallest common multiple of 2 and k?
264
Let n = -31326/17 + 3944305/2142. What is the common denominator of -131/60 and n?
1260
Let y = 452079/78431 - 615/107. Let k = y + -1302589/2932. Let a = 465 + k. Find the common denominator of -73/10 and a.
20
Let x = 4217 + -63292/15. Let s = -119/43 + 3092/387. Find the common denominator of x and s.
45
Let w be -4 + (-3 - -3 - 30/(-6)). Find the common denominator of 43/10 and w/((-90)/(-543)) + -7.
30
Suppose 0 = 11*o - 7*o - 4. Let q be ((-1042)/4)/(28/(-21) + o). Let b = -814 + q. What is the common denominator of b and 101/8?
8
What is the common denominator of -50/231 and (13/((-8580)/666) + 1)/(21/(-95))?
462
Let j(c) = 2 - 2 - 8*c + 35*c. Let s be j(1). What is the least common multiple of 3/(-4)*(5 + s/(-3)) and 8?
24
Let n(g) = 9 - 12 + g**3 - 2*g - 6*g**2 + 8. Calculate the lowest common multiple of 20 and n(7).
40
Let o = 4/135 + 92/135. Calculate the common denominator of o and (-78)/4*(-2 + (-396)/100 - -6).
450
Let s(f) = -f**3 + 131*f**2 - 386*f + 271. Calculate the smallest common multiple of 800 and s(128).
2400
Let p(k) = -2*k**3 - 46*k**2 + k + 45. Let l be p(-23). Suppose -2*n = 4*w - l, -27 = 5*n - 10*n + 4*w. Calculate the smallest common multiple of n and 107.
749
Suppose 0 = 5*b + 3*m - m - 830, b - 5*m - 193 = 0. Let g = b - 687/4. Let i = -17645/112 - -1063/7. Find the common denominator of i and g.
16
Suppose 93*k = 92*k + 72. Suppose 2*l - 5*a - 32 = 0, -8 = l + 4*a - 24. What is the lowest common multiple of k and l?
144
Let w(i) = -5*i**2 - 49*i + 4. Let o be w(-10). Find the common denominator of (-190)/(-22) + -4 + o and 70/6 - 1/3.
33
Suppose 0 = 101*i - 103*i + 27808. What is the least common multiple of 70 and (-6)/(-87) + i/232?
420
Suppose 304*u + 2 = 306*u. Let g be ((u + -4)/3)/(-1). What is the common denominator of 17/28 and (-264)/160 + (g - 2) - 1?
140
Suppose -3*p - 5 = -4*p. Suppose 5*v + 5*q + 100 = 0, -v - 4*q + q = 12. Let t = -19 - v. Calculate the lowest common multiple of t and p.
5
Suppose -818 = 4*g - 5*k + 4*k, 5*g + 1029 = -2*k. Let l = g + 285. Calculate the leas