7/4.
4
Suppose 3*u + u = 49968. Let g = -449669/36 + u. Let l = 4/9 - g. What is the common denominator of 47/4 and l?
4
What is the common denominator of 570/(-432) + 2/(-4) and 7/88?
792
Suppose 2*c - 242 - 14 = 0. Let k = c + -88. Calculate the lowest common multiple of k and 18.
360
Calculate the lowest common multiple of 1 - (448/(-210) + (-2)/(-15)) and 178/10 + 1/5.
18
Let q(h) = 6*h**2 + 14*h + 4. What is the smallest common multiple of q(-3) and 168?
336
What is the common denominator of ((-1184)/1056)/((-20)/6) and 33/310?
3410
Suppose 16*w - 630 = 9*w. What is the smallest common multiple of 110 and w?
990
Let n(d) = -35*d**2 + 4*d - 1. Let c be n(3). Let j = c + -1773. Let v = j - -22888/11. Calculate the common denominator of v and 27.
11
Let k(j) = -4*j**2 + 50*j - 18. Suppose -5*v + 23 = -32. What is the lowest common multiple of v and k(12)?
66
Let w(a) = a**2 + 21*a - 66. Let c be w(-21). Let p = 148 + c. Calculate the least common multiple of p and 8.
328
Let y = -3708 - -55661/15. Calculate the common denominator of -101/102 and y.
510
Let w(k) = -4*k + 2. Suppose z = 0, -m + 4*z = 2*m + 18. Let h be w(m). Let n = h - 18. Calculate the lowest common multiple of n and 8.
8
Let w = -13 - -17. Calculate the common denominator of ((-9)/(-12))/(30/(-404)) and 20/5 - 7/w.
20
Suppose -23*m + 5686 = -4457. What is the smallest common multiple of m and 9?
441
Let d(f) = -2*f**3 - 4*f**2 + 42*f. Let w = -5 + 17. What is the least common multiple of w and d(-6)?
36
Let j = -232788083/37473115644 - -1/4392067. Let u = j + 10/79. What is the common denominator of 23/2 and u?
108
Let w = 2429/12 + -200. What is the common denominator of w and 87/34?
204
Let h = -124939/4 - -31228. What is the common denominator of h and -1*(-82)/(-48)*-2?
12
Let r = -266233099921/2013935 + -98815/73234. Let n = 132198 + r. Find the common denominator of 11/10 and n.
110
Suppose 21 = 2*c + t, -2*c - 31 = -t - 46. Suppose -2*l - b + 35 = 0, 2*b = -2*l + 8 + 32. What is the lowest common multiple of l and c?
45
Let l(m) = -6*m - 6. Let x(d) = -4*d**3 - d**2 - d - 1. Let h be x(-1). Suppose -5*p = -h + 13. What is the smallest common multiple of 2 and l(p)?
6
Let d = -3363/308 + 13/77. Find the common denominator of d and (118/(-16))/((-23)/23).
8
Suppose 7947 = 5*g - 22393. Let i = g - 66698/11. Let l = 29/6 + 116/3. Find the common denominator of i and l.
22
Suppose -o = 2*o + 21. Calculate the least common multiple of -4 - (2 + o)*1 and 22.
22
Suppose 5*l = 4*n - 40, 72 = 4*n + 2*l + l. Suppose 27 = x - n. What is the lowest common multiple of 12 and x?
84
Find the common denominator of -37/10 and ((-64)/8)/32*356/50.
50
Suppose 0*c - 4*b + 28 = -3*c, -24 = 2*c - 4*b. Let u(p) = p**2 - 2*p - 14. What is the smallest common multiple of 11 and u(c)?
110
Suppose -4*l + 257 = 3*w, -94*w + 3*l - 172 = -96*w. Calculate the lowest common multiple of 20 and w.
1660
Suppose 5*d + 3*h - 116 = 0, 3*d + h = 6*h + 56. What is the smallest common multiple of d and 4/5*(69 - -11)?
704
Let r(b) = b**3 + 13*b**2 - 2*b - 16. Let p be r(-13). Let z = 9 + -2. What is the lowest common multiple of (2/4)/(5/p) and z?
7
Let j = -46 - -51. Suppose -4*i = -j*u - 28, 5 + 5 = i - 2*u. What is the smallest common multiple of i and 31?
62
Suppose 11*v - 319 = 55. What is the least common multiple of v and 4?
68
Suppose 5*z = 22 + 48. Suppose -163 = -6*d + 89. What is the least common multiple of (d/28)/(3/8) and z?
28
Suppose 9*t - 2*t = t. Suppose -3*c + 168 = 2*h, t*c = -3*c - 4*h + 162. What is the lowest common multiple of c and 2?
58
Let i = -2/81635 - 3999987/5224640. Find the common denominator of i and 89/40.
320
What is the common denominator of -75/4 and (-2 + (-322)/(-160))*8060/(-416)?
128
Suppose -24 = -o - 2*i, 0*i - i = -4*o + 114. Let w = -8 + o. Calculate the least common multiple of 5/(5/12) + 0 and w.
60
Suppose 4*p = 5*p + 4*b, -3*p - 5*b = -7. Let a(x) = -7 - 1 + 7*x**2 + 14 - 5*x. What is the smallest common multiple of p and a(3)?
108
Let x = -1341025/174 + 7707. What is the common denominator of -101/24 and x?
696
Let j = -7 + 4. Let v = 8 + j. Suppose 0 = 3*x - 1 - v. Calculate the least common multiple of x and 3.
6
Let m = 9 + -5. Let v be m + 0 + (-4 - -6). Suppose -v*b + b = -5*q + 35, -4*q + 52 = 4*b. What is the lowest common multiple of 1 and q?
10
Let k be (-2 + 15693/90)*(-102)/(-4). Let s = 4397 - k. What is the common denominator of -1 + 2/(24/115) and s?
60
Suppose -5*w + 52 = 2*i, 4*i + 2*w = 3*w + 82. What is the lowest common multiple of 57 and i?
399
Find the common denominator of 143/342 and 305/(-90) + 0 + (-2)/1.
342
Let d = 1217468789/353684 - 10/88421. Let p = d + -3425. Calculate the common denominator of p and 2/4 - (-68)/(-22).
44
Let g = 7 + 0. Suppose -2*r - 4*i = -3*i - 7, 5*r - 4*i = 50. Suppose -4*p = r - 46. What is the smallest common multiple of p and g?
70
Let c(m) = 7*m**3 - 3*m**2 + 2*m - 1. Let s be c(-6). Let j be 1/(2 - -5) + 3656550/2240. Let p = j + s. What is the common denominator of p and 61/10?
160
Let h = -2289/4 - -567. Find the common denominator of h and (-6)/((-102)/(-8) - -2).
236
Let q = -19/408 - -11417/2040. Find the common denominator of q and 13/568.
2840
Suppose 10085 = -82*j + 87*j. Let n = j + -16111/8. Calculate the common denominator of n and 139/36.
72
Suppose 4*l - 26 = 2*l. What is the smallest common multiple of (-16)/(-6) - (-2)/(-18)*6 and l?
26
Let u = 53 + -58. What is the common denominator of 3/5 and 1 + 0 + (u - (-570)/36)?
30
Let y be (-2)/7 - (-12)/(-7)*1. Calculate the smallest common multiple of 30/(-15) - (-1 + y) and 12.
12
Suppose -16 = 4*k - 32. Let d be 12*(1 - 3/k). Calculate the common denominator of d - -1 - 305/110 and -55/24.
264
Let u = 40797/19 + -2147. Calculate the common denominator of -10/3 and u.
57
Suppose 0 = 5*a - q - 300 + 102, 0 = -5*a + 5*q + 190. Let x = a + -26. Calculate the least common multiple of x and 8.
56
Suppose 2*j + 12 = 4*q - 12, 3*j + 4*q + 76 = 0. Calculate the common denominator of -47/5 and 2/((-3)/(1515/j)).
10
Suppose 14*x + 140 = 16*x. Let i = x + -48. Calculate the lowest common multiple of 52 and i.
572
Let c = -392 + 395. Calculate the lowest common multiple of c and 417.
417
Let z = -3877988/891 - -21762/5. Let u = z - 132169/8910. What is the common denominator of -91/22 and u?
66
Suppose 5*y - 3*y = 16. Let z = 21 + -19. Suppose -h + z*a - 29 = -4*h, 24 = 4*h - a. What is the smallest common multiple of h and y?
56
Let t be (8/12 - 0)*-12. Calculate the common denominator of (13/22)/(2/t) and 3/11.
11
Let x be 2*1/2 + 41. Let p = x + -22. What is the lowest common multiple of p and 16?
80
Let h = 9 - -2. Calculate the lowest common multiple of h and (6 + (-4 - -14))/(-1 - -3).
88
Let b = 39/158 - -3163/948. Calculate the common denominator of 694/(-40) - (-2)/(-5) and b.
12
Let y = 4 + -1. Suppose -l - y*l = -5*z - 70, -2*z - 76 = -4*l. Let x = -79 - -99. Calculate the least common multiple of x and l.
20
Let l(n) be the third derivative of 1/120*n**6 - 2*n**2 + 7/60*n**5 - 1/8*n**4 + 0 + 3/2*n**3 + 0*n. Calculate the lowest common multiple of l(-7) and 18.
90
Let a(j) = 4*j - 5. Let w(v) = -17*v + 19. Let f be (-2)/5 - (-48)/20. Let y(o) = f*w(o) + 9*a(o). Calculate the lowest common multiple of y(8) and 7.
63
Let b = 172801/20 - 8642. Let v(d) = -d**3 - 2*d**2 + 4*d + 1. Let c be v(-3). What is the common denominator of (-249)/60 + c/10 and b?
20
What is the common denominator of 83/8 and 6/10 - 2545/400*2?
8
Suppose 3*s + n + 8 - 25 = 0, -47 = -5*s + 3*n. Suppose 0 = c + 3*k - 9, -6*c + c = -4*k - s. Calculate the lowest common multiple of 5 and c.
15
Suppose 4*y = 3*m - 126 + 82, 0 = 3*m - 5*y - 40. Let k be 1*(1 + (-4)/2). What is the smallest common multiple of (3 + k)/((-1)/(-6)) and m?
60
Suppose 133*c - 24 = 125*c. Calculate the smallest common multiple of c and 18.
18
Suppose 10*n - 38 = 12*n. Let d = n + 30. Calculate the least common multiple of (2/(-3))/(3/(-18)) and d.
44
Let d(f) = 9*f - 2 + 5 + 1 - 6. Calculate the lowest common multiple of 10 and d(3).
50
Suppose -5*c + 542 = -2*m, -3*c + 4*m + 101 = -213. Calculate the smallest common multiple of 50 and c.
550
Find the common denominator of 11/(-11) - (-202)/136 and