b = 318997/24 - 13288. Find the common denominator of b and -107/104.
312
Let o(q) = -4*q + 2. Let z be o(-1). Suppose 3*x = z*x + 21. What is the common denominator of 17/22 and 519/462 - 2/x?
22
Let s = -24633/20 - -1232. Find the common denominator of s and -69/250.
500
Let f = 14231/2890 - 7/289. What is the common denominator of 7389/1134 + 8/(-14) and f?
90
Let t = 23 + -20. Suppose 2*b = t*b - 49. Let z = b - 31. Calculate the smallest common multiple of 18 and z.
18
Calculate the common denominator of 83/468 and (7 - 705/100)/((-9)/948).
2340
Let b = -3811/9 - -423. Suppose -3*l = -8*l, -4*i + 16 = -2*l. Find the common denominator of b and i/(-14)*36/8.
63
Calculate the common denominator of 74/3 and (-48)/60 - 808/(-410).
123
Suppose 6*x - 7856821 = -2*y + 5*x, y - 2*x = 3928398. Let f = 424263337/108 - y. Let c = 500/27 + f. Find the common denominator of 41/6 and c.
12
Let z = 309 + -153. What is the least common multiple of z and 351?
1404
Let t be 1403/(-2) - (3 + -7). Let o be (-12 + 2)/(12/822). Let l = o - t. Find the common denominator of l and 7/20.
20
What is the common denominator of -89/32 and (275/2 - -8)/(-21)?
224
Let x(a) = a**3 + 7*a**2 + 6*a + 1. Let n be x(-6). Find the common denominator of ((-2)/10)/((-4)/315) and (5/n)/((-8)/(-22)).
4
Let f = -45795/265864 + -7/1592. Calculate the common denominator of f and -61/16.
2672
Let v = 230895049/100 - 2308919. Let k = 156/25 - v. What is the common denominator of k and 91/32?
32
Let m(k) be the third derivative of -k**5/60 - 11*k**4/24 - 4*k**3 + 9*k**2. Calculate the lowest common multiple of m(-6) and 16.
48
Let h(a) = -8*a - 6. Let p(y) = 4*y + 3. Let v(z) = -4*h(z) - 9*p(z). Let g be v(6). What is the common denominator of 51/2 and (48/(-40))/(g/190)?
18
Let o(q) = q - 3. Let v(b) = -1. Let u(n) = -o(n) + 2*v(n). Let x be u(0). Suppose -7 + x = -3*d. Calculate the smallest common multiple of d and 7.
14
Let f be (-2)/4 + (-399)/(-14). Suppose -q - q = -f. What is the least common multiple of ((-28)/(-5))/((-2)/(-5)) and q?
14
What is the lowest common multiple of 14 and -903*((-25)/3 - -7)?
1204
Let m be ((-24)/20)/((-10)/75)*-485. Let z = 43701/10 + m. Find the common denominator of -13/14 and z.
70
Let k be (-2658616)/(-72) + (-2)/9. Let l be k/73822 + 2/(-4). Let v = l + 279462/36911. Calculate the common denominator of 57/7 and v.
7
Let i = 218 - 209. What is the smallest common multiple of 39 and i?
117
Let w = -62 - -95. Find the common denominator of (8 - 9) + 139/20 and w/(-6) - (-4)/14.
140
Let u(l) = -l**3 + 11*l**2 - 16*l + 20. Let n be u(10). What is the lowest common multiple of (0 + n)*24/(-30) and 12?
96
Calculate the smallest common multiple of ((-9)/(225/80))/(24/(-60)) and 28.
56
Suppose i - 1 - 2 = 0. Suppose 54 = 6*q - i*q. Suppose 3*a - 1 = -3*b + 20, -8 = a + 4*b. What is the lowest common multiple of q and a?
36
Let m = 104 - 77. Suppose 15 - 90 = -5*i. What is the smallest common multiple of i and m?
135
Let n = 27 + -23. What is the lowest common multiple of (7/n - 2)*-4 and 10?
10
Find the common denominator of ((-22)/5)/(-6 + (-684)/(-110)) and 67/66.
66
Calculate the common denominator of (-1848)/32*(-2)/9 and 20/1 - (-10)/5.
6
Let i = 315 + -3161/10. What is the common denominator of i and 28/253?
2530
Suppose 5*h - 5*z = 375, 13*z - 8*z = 3*h - 235. What is the smallest common multiple of h and 42?
210
Let f(u) = -u**3 + 15*u**2 + 19*u - 34. Calculate the smallest common multiple of 1 and f(16).
14
Let l be 2/3*(93 + 0). Let s be (-42)/63 - (-244)/6. Let u = l - s. Calculate the least common multiple of 22 and u.
22
Suppose 0 = 5*i - 45 + 10. Suppose i*o - 11*o + 24 = 0. Suppose n - o*n - 25 = 0, -29 = -g + 5*n. What is the least common multiple of g and 22?
44
Let c = -40545/1604 - -11/401. Find the common denominator of 37/80 and c.
80
Suppose -6*v - 4641 = -7*v - g, 2*v - 9267 = -5*g. Calculate the lowest common multiple of v and 12.
27876
Let w be (-4)/(-2)*-2*6/(-8). Suppose 31 = 3*x - 38. Suppose -13 - x = -w*i. Calculate the smallest common multiple of i and 8.
24
Suppose -3*i = l + l + 6469, -4*l = -3*i + 12893. Let o = 51701/16 + l. Let v = -671/20 - -154/5. What is the common denominator of o and v?
16
Let g = 21 - 18. Suppose -59 + g = -2*v - 3*c, 0 = -v + c + 18. Suppose -28 = -5*o + 22. Calculate the lowest common multiple of o and v.
110
Let m(z) = -4*z + 5. Suppose 3*r + 2*v = 7*v - 41, -55 = 5*r - 5*v. Calculate the lowest common multiple of m(r) and 21.
231
Find the common denominator of -19/78 and (-35)/42*(-19)/30.
468
Suppose 3*z - 3*u = -135, -z = 2*u + 9 + 27. What is the least common multiple of 64/(-24)*z/8 and 20?
140
Let v = 1678 - 842. Let z = v - 18397/22. What is the common denominator of 21/20 and z?
220
Let f be (12/(-10))/(4/(-500)). Find the common denominator of 4/27 and 0 + 1 + -2 + 520/f.
135
Let f be (-30)/(-12) + (-1)/2. Suppose 5*m - 6363 = f*m. Let p = m + -19036/9. Calculate the common denominator of p and 43/3.
9
Let p(g) = g + 14. Suppose -5*x + 35 = -0*t - 3*t, 5*x + t = 35. Calculate the smallest common multiple of p(x) and 30.
210
Let r(d) = d**3 - 41*d**2 - 129*d - 54. Calculate the least common multiple of r(44) and 6.
78
Let h = -69 + 75. Suppose h*v - 64 = -2*v. Calculate the smallest common multiple of (-18)/(-4)*8/3 and v.
24
Suppose 4*r - 48 + 4 = 0. Calculate the smallest common multiple of 6/10 + 304/10 and r.
341
Let z be ((-180)/50)/(2/(-5)). Suppose -3*u + z = -9. What is the lowest common multiple of (-1 - 1/(-1)) + u and 1?
6
Let c(x) = 8*x + 8. Let f be c(2). Let d = f + -22. Calculate the least common multiple of d and 22.
22
Let h = -475193/179 + 2655. Let n = h - -8199/1969. Calculate the common denominator of n and 48.
11
Suppose -65 = -3*a - 8. Let h = -7 + a. Calculate the smallest common multiple of h and 12.
12
Let d = -2/2231 - 162847/17848. Let n = -9965/6 - -1657. What is the common denominator of d and n?
24
Let v be 65/(-25) - 1/(15/(-9)). Calculate the common denominator of -15/4 and 3/((-216)/(-597)) + v/(-6).
8
Let h be (24/(-15))/(6/15). Let u be (-20)/h*8/10. Calculate the lowest common multiple of 2 and u/10 - 33/(-55).
2
Let w = 4 + 9. Let r = 28 - w. Let n = -9 + r. Calculate the smallest common multiple of 6 and n.
6
Let i = 192595/11 + -17524. Let h = i + 14. Find the common denominator of 2/5*(12 + 4) and h.
55
Let v = -12227/14 + 873. Let a = 56 + -46. What is the common denominator of v and (a/400)/(2/244)?
140
Calculate the common denominator of -139/30 and ((-518)/5292*-7)/(-1*1).
270
Let o(r) = 2. Let s(d) = d**2 + 3. Let a(l) = -3*o(l) + 2*s(l). Calculate the lowest common multiple of 11 and a(-1).
22
Let q = 1823/2 + -891. Let c be 1*-7*(-8)/28. Suppose c*g + 14 = g. What is the common denominator of q and g?
2
Let m = -63662253 - -1145541899/18. Suppose -4*v - 105129 = -0*w - 5*w, -4*w + 84112 = -v. Let y = w + m. Calculate the common denominator of 7/2 and y.
18
Let g = 5/2689 - -303807/26890. Calculate the common denominator of g and -145/6.
30
Let t(b) = -b**3 - 12*b**2 - 10*b + 8. Let u be t(-11). What is the common denominator of u + 595/100 - 5 and 9/40?
40
Let a be (-4 + 1015/225)*363. Let k = -919/5 + a. What is the common denominator of 88/15 and k?
15
Calculate the common denominator of -61/69 and (-3983)/(-1197) + 8/(-76).
207
Suppose v + 5*b = 0, -4*v - v + 5*b + 90 = 0. Let m = v - 6. Suppose 3*q - 32 = -0*q - d, q - 3*d + 6 = 0. Calculate the lowest common multiple of m and q.
9
Suppose 0*t = 4*j + 2*t - 44, -5*j = -3*t - 66. Suppose 4*y = -j + 60. What is the lowest common multiple of 86 and y?
516
What is the common denominator of -3/20 and (-10)/(-75)*9*(-52)/(-6)?
20
Let m(w) = w - 4. Let y be m(8). Let l be 4 + ((-1961)/y - -1). Let s = l + 500. Find the common denominator of 25/14 and s.
28
Calculate the common denominator of (7/(-42)*-13 - 2)*151 and 67/282.
282
Suppose 17*k + 10 = 18*k. Suppose -1020 = 5*j - k*j. Calculate the smallest common multiple of j and 4.
204
Suppose 4*s + 1547 = -1445. Let a = -3035/4 - s. Let x = -597 + 7151/12. Find the common denominator of a and x.
12
Suppose -3 = -s - 0. Suppose -s*x - 6 = -3. What is the smallest common multiple of 2/5*(-5)/x and 6?
6
Let w be 2/8*9403/3. Let z = w - 78