-1910)) + (-4)/14.
4914
Let x be 3 - 834/16 - -1. Let s be (-2 - -1)/((-48)/1838). Let r = x + s. Calculate the common denominator of r and -89/20.
60
Suppose 5*o - 7*q - 60 = -10*q, -24 = -2*o - 5*q. What is the lowest common multiple of o and 6?
12
Let d(t) = t**3 + 10*t**2 - 12*t - 6. Let b be d(-11). Find the common denominator of 2/(-10) - ((-341)/(-20) + b) and -15/8.
8
Let j = 182/3 - 2099/30. What is the common denominator of 45/3898 and j?
19490
Let d = -117 - -181. Suppose 6*c - d = 20. What is the lowest common multiple of c and 4?
28
Suppose 3*r + 4*y = -134, 0 = 2*y + 6 - 14. Let i(v) = v + 8. Let g be i(-4). Find the common denominator of 45/2 and (r/45)/(2/g).
18
Let x be ((-177)/4)/((-42)/112)*-1. Let s = 122 + x. Calculate the least common multiple of s and 12.
12
What is the least common multiple of (472/(-18))/(80/(-360)) and 4?
236
Suppose 5*b = -r + 12, 0 = -2*r - 5*b + b + 12. Let k(p) = 4 - r + p - 5 + 1. Calculate the least common multiple of 11 and k(6).
44
Let r(j) = -2*j**3 - 16*j**2 - 3*j - 4. Calculate the lowest common multiple of 92 and r(-8).
460
Calculate the common denominator of -67/55 and ((-2852)/(-1364))/(11 - 1).
110
Let h = 2369/369 + -81/41. Let v be (5 - 1) + -1 - 1. Find the common denominator of h and (-8 - -4)*v/(-7).
63
Let m(x) be the third derivative of 5/8*x**4 - 10/3*x**3 + 0 - 13/60*x**5 - 6*x**2 + 1/120*x**6 + 0*x. What is the lowest common multiple of 38 and m(12)?
304
Let w = -658 - -1377/2. Let n be (-10586)/(-7740) - (-4)/40. Let o = -1/43 + n. Find the common denominator of o and w.
18
Suppose 12*k + 2064 = -1968. Suppose -4*o - 37 - 99 = 0. What is the lowest common multiple of k/o - 4/(-34) and 10?
10
Let t = 590 + -5269/9. Find the common denominator of 65/27 and t.
27
Let g be 51*(-4)/(-36)*-3. Suppose -24 + 89 = -5*j. What is the common denominator of -7/13 and (j - g)*26/(-28)?
91
Let x(m) = -m**3 + 3*m**2 + 3*m + 1. Let l be x(4). Calculate the common denominator of 3/6 - 82/(-60) and l - 24/(-27) - 6/(-3).
45
Let v = 1524/23 - 49193/690. Let u = 0 - -1. Calculate the common denominator of v and u/(-1) + (-34)/28.
210
Suppose 2*b - 3*d - d = 226, 0 = -4*d. Suppose -z + 5*w = 2*z - 160, 3*w - b = -2*z. Calculate the lowest common multiple of 5 and 572/z + 2/(-5).
10
Suppose -5*t + 15*t = 100. What is the smallest common multiple of t and 25?
50
Find the common denominator of (2460/90*6/(-40))/24 and 95/44.
2640
Calculate the common denominator of (-818)/(-140) - ((-506)/(-55) + -9) and -53/246.
1722
Let v = 6275/1008 - -37/112. Suppose 0 = -4*d - z - 3 - 8, d + 11 = -3*z. Find the common denominator of (d/(2*10))/(1/63) and v.
90
Let u(r) = r**3 - 15*r**2 - r + 19. Let q be u(15). What is the common denominator of (1 - q) + (-195)/26 and 3/6*(-13)/(-2)?
4
Suppose 5*o = w + 417, -o = 6*w - 5*w - 87. Suppose 3*t - 9*t + o = 0. Calculate the smallest common multiple of t and 16.
112
Let b = -67/14 - -163/7. Find the common denominator of -57/26 and b.
26
Let f be (-6*(-12)/18)/((-2)/(-2)). Suppose -90 = -l - f*l. Calculate the lowest common multiple of 12 and l.
36
Let m = -102 + 113. What is the smallest common multiple of m and 2?
22
Suppose -2*j + 56 = -2*r, -3*r - 57 = -2*j - 2*r. Let v = 43 - j. What is the smallest common multiple of (-158)/(-10) + 271/1355 and v?
112
Let d = 454103/18 - 25221. Let w be 2 + -22*6607/(-32). Let v = 4546 - w. Calculate the common denominator of v and d.
144
Let l(f) = 14*f + 148. Calculate the smallest common multiple of l(-7) and 10.
50
What is the least common multiple of 255 and 14*((-3)/7)/(330/(-1925))?
1785
Let z(c) = -c**2 + 12*c - 18. Let j be z(4). Suppose 0 = 73*k - 72*k - j. What is the smallest common multiple of 76 and k?
532
Let k = -7205/534 - 2/267. Calculate the common denominator of 14/65 and k.
130
Let v = -12 + 2. What is the common denominator of -97/4 and v*(2 + 715/(-360))?
36
Suppose -7*g = -2*g - 15. Suppose 9 + g = 3*c. Let j(l) = 8*l - 21. What is the lowest common multiple of j(3) and c?
12
What is the least common multiple of 15 and (-28068)/(-90) - (-16)/120?
1560
Let c = -202/7 - -433/14. What is the common denominator of c and 51/(-270) + 0 + 1?
630
Let z = -95 + 151. Calculate the least common multiple of z and 6.
168
What is the common denominator of 28/53 and 4*((-8)/44)/(32/164)?
583
Let x(q) = q**3 - q**2 - 3*q + 4. Let j be x(2). Suppose -j*u - 2*b + 78 = 0, -u - 2*b + 41 = -3*b. Calculate the lowest common multiple of u and 16.
80
Let q(h) = h**2 - 7*h + 34. Calculate the lowest common multiple of q(16) and 12.
1068
Let w be 85/(-51)*6/(-5). What is the common denominator of (w/(-16))/((-5)/444) and -32/91?
910
Suppose 0 = 2*m - 4*m - 2. Let o be (-78)/(-5)*m/2. Let y = o + 181/20. Find the common denominator of 79/20 and y.
20
Suppose -w + 9*h - 7 = 4*h, -21 = -5*w - 3*h. What is the common denominator of -67/2 and (-4)/w + 554/24?
4
Let z = -10189/112024 - -4/737. Let m = z + -10069/456. Calculate the common denominator of m and 123/10.
30
Let x(r) = -r**2 + 10*r - 2. Let g be x(8). Suppose p - 2*v = 1, 5*p + 3*v = 4*v + g. Suppose p*y - 2 = 10. Calculate the smallest common multiple of 8 and y.
8
Suppose 6*m - 2*m - 28 = 4*c, 3*c + 6 = -2*m. Suppose 8*q = m*q + 40. Calculate the smallest common multiple of q and 382.
1528
Suppose 0 = 3*n - y - 4*y - 386, 142 = n + 5*y. Let r = 220 - n. Calculate the least common multiple of r and 16.
176
Suppose 2*t + t - 349 = -h, -2*h = 5*t - 582. Suppose -4*k + t - 44 = 0. Calculate the lowest common multiple of k and 6.
18
Let f = -4/3385 + 84841/182790. Let j = 20797/1221 - 582/37. Find the common denominator of f and j.
594
Let w = -35 + 37. Suppose h + 2*g - 24 = -h, w*g + 32 = 2*h. Let q(n) = -2*n + 4. Calculate the lowest common multiple of q(-9) and h.
154
Suppose 4*r = -4*o - 30 - 22, 4*r - 28 = 4*o. Let g = -25884 + 1397809/54. What is the common denominator of g and (43/o)/(8/(-10))?
216
Suppose -6*f + 4*f - 24 = 0. Let i = 1149 + -9179/8. What is the common denominator of (9/(-22))/(f/28) + 2 and i?
88
What is the common denominator of 123/10 and 1 + 0 - (12 + (-24416)/2200)?
550
Let x = 7347 + -7343. Suppose -2*j = 5*t - 5*j - 29, 4*t = -j + 30. What is the smallest common multiple of t and x?
28
Let q = 6183/5 + -36991/30. Calculate the common denominator of q and -8.
30
Let r be (0 - 20/(-6))/(5/(-15)). What is the common denominator of 43/20 and ((-2)/r)/((-2)/104)?
20
Let j = -64440/59 + 1092. Let b = j - 1663/236. What is the common denominator of b and 0 + 3/(33/28)?
44
Let d be (-2851)/(-9648) - (-2)/9. Let m = d - -3/67. Let a = 3078 + -55351/18. What is the common denominator of a and m?
144
Let k be -30*(3 - 105/25). Suppose -5*h + 20 = 0, -r - 4*r + k = -h. Calculate the lowest common multiple of r and 7.
56
Suppose 5*d + 3 = -2*i, -4*d - 9 = -0*d - 5*i. Find the common denominator of d*2 - (-183)/(-24) and (-206)/5*(20 - (-7619)/(-380)).
200
Suppose -361*o = -366*o + 20. Calculate the least common multiple of 12 and o.
12
Let q(i) = -i**2 - 2. Let v be q(-2). Let x = 17937/20 - 896. Find the common denominator of v/8*6 - 3/9 and x.
60
Let k(h) = 13*h**2 - 37*h + 78. What is the least common multiple of k(2) and 126?
504
Let s = 299373984359/5418 - 497298932/9. Let h = -16/903 - s. What is the common denominator of 27/20 and h?
180
Let t = 11/9004 + 427129/459204. Find the common denominator of t and 1/26.
1326
Let x(n) = n**3 - 7*n**2 + 9*n - 17. What is the least common multiple of x(6) and (-30)/4*(-220)/30?
55
Suppose 3*n - 110 = -20. Calculate the smallest common multiple of 10 and n.
30
Let z = 30/11 + -106/55. Let g = 14945/5748 - 8/479. Find the common denominator of g and z.
60
Let a = 230 + -220. What is the smallest common multiple of 19 and a?
190
Let t be (6382/8)/((-2)/(-4)). Let y(u) = 182*u**2 + u. Let h be y(3). Let j = h - t. Calculate the common denominator of -13/22 and j.
22
Calculate the common denominator of 2 and (132/(-112))/(4 + 47/10).
406
Suppose -4*p + 18 = -10. Calculate the common denominator of -52/5 and ((-51)/p)/(21/(-14) - -3).
35
Let a = -3/631 + -38383/22716. Find the common denominator of a and 101/20.
180
Let o = 4937/399 + -217/19. What is the common denominator of o and 115/66?
462
Find the common deno