t b = -211/180 + 29/36. Calculate the common denominator of b and -133/6.
30
Let u be (4/110)/((-504)/(-31370)). Let d = u - -55/63. Find the common denominator of d and 74/(-8)*(4 - 6).
22
Suppose 14 = -g + 5*q, -3*g - 3*q + 38 = 2*q. Let u(h) = h**2 + 2*h - 33. What is the lowest common multiple of u(6) and g?
30
Let i = 20 + -10. Suppose 0 = 5*j - 30. Suppose -11*o + 35 = -j*o. Calculate the least common multiple of o and i.
70
Let u = 6673151/48 - 443519801/2640. Let z = -28975 - u. Find the common denominator of -26/25 and z.
275
Let d = 0 + 0. Let n = 5 + d. Suppose 5*b - 5*z + 0 = 35, -n*b - 3*z + 51 = 0. Calculate the smallest common multiple of 6 and b.
18
Let f(k) = -k**2 - 9*k + 14. Suppose o + 2*b - 19 = 0, b - 5 + 48 = 3*o. Let c = o - 11. Calculate the lowest common multiple of c and f(-10).
4
Suppose 2*u - u + 5*t = 33, 5*t - 59 = -3*u. What is the least common multiple of u and 78?
78
Let i(q) = 9*q - 62. What is the lowest common multiple of 104 and i(17)?
728
Let f(x) = -x**2 + 12*x - 1. Let j be f(12). Let y be (-6543)/13095 + j/(-2). Let k = y - -17702/1455. Calculate the common denominator of -17/16 and k.
48
Suppose -2*i + y + 11 = 0, 3*y - 4*y + 1 = 0. Suppose 9 = 3*a - i, 3*o + 2 = a. Suppose 0*g = -g + 7. Calculate the least common multiple of o and g.
7
Let x(b) = b**3 + 8*b**2 - 5*b + 76. What is the lowest common multiple of x(-9) and 200?
200
Let l be 115/25*1 - (-6)/15. Suppose -2*z - 42 = -l*z. What is the smallest common multiple of 6 and z?
42
Let d = 10 - 8. Let o = -133/33 - 271/132. Find the common denominator of o and (-225)/20*d/(-12).
24
Let j = -260557/126 - -2068. What is the common denominator of -87/224 and j?
2016
Let o be 1 + -2*10/2. Let j = o + 21. Calculate the common denominator of -29/3 and 45/j*(-34)/20.
24
Suppose 0 = -5*u - 4*g + 3, g + 2*g = -9. What is the lowest common multiple of u and 33?
33
Let s(u) be the third derivative of -u**6/120 + u**5/10 - u**4/24 + 5*u**3/6 - 30*u**2. What is the lowest common multiple of 33 and s(4)?
33
Suppose -80 = -13*s + 9*s. Let t(k) = k**3 + k**2 + 8. Calculate the least common multiple of s and t(0).
40
Let x = 216/6049 - 8175645/1790504. Let k = x - 7/74. What is the common denominator of 16/153 and k?
1224
Let f(x) = -x**2 - 30*x + 45. What is the smallest common multiple of f(-31) and 60?
420
Let w = 1481 - 1256. What is the least common multiple of w and 405?
2025
Let p be 0/(-1 + 1 - 1). Let k = p - -6. Calculate the smallest common multiple of k and ((18 - -3) + -1)/1.
60
Let t(o) = -5*o + 13. Let c be t(3). Find the common denominator of -87/56 and 103/24 - c/6.
56
Suppose 3*o + 355 = 2*f, 2*f - 6*o = -2*o + 350. Calculate the least common multiple of f and 370.
370
Let y(o) = 8*o + 8. Let u be y(12). Let k = -188 + u. Calculate the common denominator of 29*(k/(-40) - 2) and 11/2.
10
Let v(y) = 2*y**3 - 5*y**2 - 13*y + 4. What is the smallest common multiple of 20 and v(5)?
320
Let s = 478/27 - 5420/297. Calculate the common denominator of (1 - 0) + 8/(-10) and s.
55
Let o be ((-2)/(-3))/(1/(-9)). What is the common denominator of 2/16*(-273)/o and 9/21 + -1*(-2265)/252?
48
Let u = -21705653/14 - -1551289. Let g = u - 887. Calculate the common denominator of g and -59/16.
112
Suppose 4*w - 54 + 6 = 0. Suppose o - 7 + 1 = 0. Suppose -3*v - 66 = -o*v. Calculate the least common multiple of v and w.
132
Suppose -d + 53 = -5*q, -10*q = 2*d - 9*q - 95. Calculate the least common multiple of d and 42.
336
Suppose -20*f = -26*f + 168. Calculate the least common multiple of 49 and f.
196
Find the common denominator of 15960/800 + 1/(-5) and -93/110.
220
Let t = -15908 + 1113613/70. What is the common denominator of t and 54/245?
490
Calculate the common denominator of 143/18 and (-6 - 725/(-30))/1.
18
Let k be (-539)/(-33) + 2/(-6) + 0. Suppose 0*p - q - k = -2*p, 5*p = 5*q + 45. Suppose -5 = -a + 3. Calculate the least common multiple of p and a.
56
Let q = 63 - 38. Suppose -2*s - 5*a = -70, -a + 21 = 23. What is the lowest common multiple of s and q?
200
Let l = 65217 - 4956411/76. What is the common denominator of 89/22 and l?
836
Let x(c) = c**3 + 4*c**2 - 11*c + 20. Calculate the smallest common multiple of x(-6) and 7.
14
Suppose 3*d + r = 43, -3*d - 3*r + 41 = -4*r. What is the least common multiple of 92 and d?
644
Find the common denominator of -6 + (-1710)/(-104) + -12 and -89/18.
468
Let v be ((-3)/334776)/((-6)/(-80502)). Let w = v - -25/232. Let c = 15825/3848 - w. What is the common denominator of 38/3 and c?
24
Let b be (-2 - -2) + -2 + 468. Let y be (b/(-8))/(8/(-4)). Let o = -30 + y. Find the common denominator of o and -101/16.
16
Suppose 2*y - 504 = -4*y. What is the lowest common multiple of y and 16?
336
Let h = -11 + 19. Let q = h - 4. Calculate the smallest common multiple of q and 62.
124
Let a be 3 - (6/3 - 3). Suppose 2*i - a*b - 11 - 5 = 0, -1 = -2*i - b. Find the common denominator of -33/4 and 183/15*(-5)/i.
4
Let v be 6 - 3 - (-5 - -5). Let l be (v/3 - 16) + -4. Let d = 23 + l. Calculate the smallest common multiple of d and 12.
12
Let z = -152 - -156. What is the lowest common multiple of 7 and z?
28
Let q = 145 + -925/6. Let s = -5186 + 25777/5. Let l = s + 4299/140. Find the common denominator of q and l.
84
Let u = -2184/17 + 20089/170. Calculate the common denominator of 21/5 and u.
10
Let b(j) = j**2 - 14. Suppose 40 = -7*x + 5. Let k be b(x). Suppose i + 2*m = k, 4*i - m = 2*m. What is the smallest common multiple of 6 and i?
6
Let g = 36142489/106130864 + -267/784. Let q = g - 66467113/3248904. Let w = 7/8 - q. What is the common denominator of 25/2 and w?
6
Suppose -36 = -3*z - z. Suppose 2*s + 10 = 3*l, 4*l - 5*s - z - 9 = 0. Calculate the lowest common multiple of l and 34/8 + -5 - 78/(-8).
18
Suppose 0 = 5*d - u - 0*u - 83, 4*d = 5*u + 79. Let z = -23 + 21. Calculate the smallest common multiple of d and z/((-1)/((-33)/(-6))) + -1.
80
Suppose -u = 3*m + 1243, 2*u - 2*m = m - 2486. Let d = 9849/8 + u. What is the common denominator of d and -67/3?
24
Suppose 6 + 6 = 2*v. Let h = -1 + v. What is the smallest common multiple of 7 and (-4)/((-8)/4) + h?
7
Let b(n) = n**3 + 7*n**2 + 2. Let g be b(-7). Suppose f - 15 = -g*f, -5*s = 5*f - 60. Calculate the lowest common multiple of 20 and s.
140
Let o(i) = i + 10. Let g be o(-4). Let k = g + 4. What is the least common multiple of 6 and k?
30
Suppose 0 = 5*f + w - 68, -3*f + 0*f + 34 = 4*w. Suppose -22 = -2*s - 0*s - 2*p, 0 = 4*s - 2*p - f. Calculate the smallest common multiple of s and 14.
42
Suppose 3*v = -2*d + 1151, -8*v + 3*v - 1111 = -2*d. Calculate the lowest common multiple of d and 8.
568
Let c = -1620 + 9745/6. Suppose 0 = 2*x + x - 477. What is the common denominator of c and x/16 + -3 + -1?
48
Suppose 354 = 5*x - 2*x. Find the common denominator of x/40 - (2 - 4) and 8/(-88) + 645/330.
220
Let r = -5215 - -62621/12. Let q = 70617/4 + -17832. Let n = 174 + q. What is the common denominator of n and r?
12
Suppose 0 = 4*w - 4 - 4. Suppose 5*c = -0*c + 5*a - 55, w*c + 3*a = -32. Let r = c - -25. What is the least common multiple of r and 12?
12
Let i = -1803/5 - -11443/30. Calculate the common denominator of (4/16)/(2/146) and i.
12
Let i(k) = -2*k**2 + 15*k - 7. Let p be i(7). Suppose p = q + q - 20. Calculate the lowest common multiple of 2 and q.
10
Calculate the common denominator of (5 + 343/(-70))/((-12)/490) and -71/30.
60
Let g = 3/145 - 4963/1595. What is the common denominator of (-67)/670*((-1780)/16)/(-2 + 1) and g?
88
Calculate the lowest common multiple of 2 and (3 - 4)/(-1) + 17.
18
Let q = -3/130 + -551/65. Calculate the common denominator of q and 99/14.
14
Calculate the smallest common multiple of 2 and 2022/14 + (-8 - (-265)/35).
144
Let i = -3205/6 - -533. Let a be 1/19*(1875 - 3). Let l = -20393/228 + a. Find the common denominator of i and l.
12
Let c = 5 - 4. Find the common denominator of 3*(c + 13/2) and 124/12 - (15 - 12).
6
Let k be (-3 + 3 - -4) + -4. Let q = 625/4 + -335/2. Calculate the common denominator of 1/(-3) + (k - (-70)/18) and q.
36
Let d = -58214 + 406466/7. Let g = -7815/56 - d. Find the common denominator of g and 107/20.
40
Let z = -2119/213 + 20/71. Let j = 16/9 + -71/9. Calculate the common denominator of z and