6901/8 + j. Find the common denominator of v and 113/20.
40
Let c = 5985 - 239379/40. Let u = c - 647/280. Calculate the common denominator of u and 6/3 + (-133)/20.
140
Let z(n) = n**3 - 37*n**2 - 29*n - 10. Let h be z(38). Suppose 329 = -k + h. Calculate the least common multiple of k and 9.
9
Let d(m) = -2*m**2 - 16*m - 13. Let v be d(-7). What is the common denominator of -89/6 and v/((2016/930)/8)?
42
Let l = -216872/3 - -71686. Let y = l - -596. Let f = 14435/6412 - 2/1603. Find the common denominator of f and y.
12
Let w(z) = -3*z**2 + 21*z - 9. Let a(l) = -l - 8. Let h be a(-15). Let k be w(h). What is the smallest common multiple of (3/k)/((-2)/60) and 6?
30
Let d(y) = -4*y - 104. Let m be d(-26). Suppose 9*l + 0*l - 135 = m. Calculate the lowest common multiple of l and 9.
45
Calculate the common denominator of -89/754 and ((-9)/6)/((-68)/(-442) + 993/897).
754
Suppose -3*y + 5712 = -3*d, 6170 = -5*d - 2*y - 3378. What is the common denominator of -13/2 and -7 - (-9)/(d/(-1394))?
106
Let u = -87071/14 - -6221. Suppose -3 - 15 = -3*p. Calculate the common denominator of u and p/4 - 60/42.
14
Let z = -49352887/2276220690 - 2/2209923. Find the common denominator of 51/50 and z.
15450
Let z = 1679271 - 498744502/297. Let i = z + 26/27. Find the common denominator of 3/12*(-1)/2*(-728)/130 and i.
110
Let f be 6/18 + 1090/(-3282). Let y = f - 34465/3282. What is the common denominator of (-16 + 15)/(322/(-298) - -1) and y?
12
Let a = 9244/3 + -1026050/333. What is the common denominator of a and 61/15?
1665
Let i(q) = q**3 - q**2 - 7*q + 11. Let d be i(5). Suppose -6*t = -4*t - d. Let a(f) = 4*f**2 - 2*f. Calculate the lowest common multiple of a(2) and t.
228
Suppose 0 = 4*w - 3*w - 2*g - 31, 0 = -5*w - 2*g + 119. What is the least common multiple of w and 159/(6678/1176)*1/4?
175
Suppose -7*m = -2*m + 35. Let u = -10 - m. What is the lowest common multiple of 33/(u/3*-3) and 3?
33
Let t(i) = -3*i**3 - 3*i**2 + 3*i - 1. Let c be t(2). Let z = c - -36. Calculate the least common multiple of z and 21/14 + ((-65)/(-10) - -2).
10
Suppose 0 = -3*f - 6 + 3. Let c(r) = r**3 + r**2. Let p be c(f). Suppose -4*u + 16 + 28 = p. Calculate the lowest common multiple of u and 5.
55
Suppose -13680 - 84340 = -65*y. What is the smallest common multiple of y and 28?
10556
Calculate the lowest common multiple of 60/(-50)*(-5)/2 and 753.
753
Let q be 10/60 + 0 + 1/(-6). Suppose -6*s + 6 + q = 0. Suppose 2*r + 5 + s = 0, -r = -w + 15. Calculate the least common multiple of w and 21.
84
Let c = 16247 + -1072259/66. Calculate the common denominator of -13/231 and c.
462
Let c(v) = -19*v + 1. Let l(m) = -m + 3. Let y be l(4). Suppose 5*h - x = 33 + 31, 0 = 2*x + 8. What is the smallest common multiple of h and c(y)?
60
Let j(z) = -2860*z**2 - 4*z - 3. Let a be j(-1). Let v = a - -25702/9. Let d = 3192 + -15903/5. What is the common denominator of d and v?
45
Suppose -6*x + 37 - 1369 = 0. Calculate the common denominator of 1 + 2 + (x/33 - -1) and -143/30.
330
Suppose 1060*u = 1059*u + 512. What is the smallest common multiple of u and 32?
512
Let x be (-3)/(-6)*2 - 30. Let c be ((-657)/(-4))/(391/(-68)). Let a = c - x. Find the common denominator of 21/5 and a.
115
Let s = -185912/27 - -6884. Suppose -6*o + 47 = -397. Calculate the common denominator of 2/(-216)*o + (-2)/4 and s.
27
Suppose 5*s = -2*l - 185, -4*l = -2*s + 233 + 197. Calculate the common denominator of -61/27 and (-1211)/l + -5 + -6.
135
Suppose -n - 28 = 152. Let f be (12/15)/((-3)/n). Suppose 5*o = 2*o + f. Calculate the lowest common multiple of o and 6.
48
Let h be (-9)/9 - (-7178)/7186. Let z = 327023/53895 + h. Find the common denominator of z and 64/21.
105
Let p = 5833567/2016 + -26042/9. Find the common denominator of 33/32 and p.
672
Let b be (-1)/(-4) - 10924821988162687/234436. Let g = b + 46600445273. Let v = g + 38/4089. Calculate the common denominator of v and 69/20.
2580
Suppose 3*z + 11896 = -4*g, 2*z + 2871 = -5*g - 5048. What is the common denominator of 6*17/(-8)*-2 and z/616 - 1/(-11)?
14
Suppose 2*y + y = -q - 6, -5*y = 10. Suppose 9 = 3*o, -k = -q*o - o - 27. What is the least common multiple of 6 and k?
30
Let o(m) = -9*m - 40. Let r be o(-15). Let b = 11 - 6. Suppose -33 = -2*z - 3*j, 0 = b*z - 5*j - 0*j - r. Calculate the lowest common multiple of 15 and z.
90
Let i = -76505/3 - -4768796/187. Calculate the common denominator of 47/99 and i.
1683
Calculate the smallest common multiple of 48 and 52/(3 + 10) + 740.
1488
Suppose l + 19 = 5*y, -3*y + 3 + 9 = 0. Let k be 4 + (-16)/4 + 1. Suppose -5*j + k + 26 = x, -4*j = 3*x - 37. What is the smallest common multiple of l and x?
7
Let t = -5/20633 + 1808671/56121760. What is the common denominator of t and 5/64?
5440
Let h = -191 + 182. Let j(q) = 3*q**2 + 19*q - 22. Calculate the lowest common multiple of j(h) and 10.
50
Find the common denominator of (-42)/(-56) + (-655)/900 and -57/790.
7110
Let z be 4/(-50) + (-98228651)/(-12825). Let u = z + -7658. Let g = -460/9 - -46. Find the common denominator of g and u.
27
Suppose 2*i - 191 = -2*l + 355, -4*i - 3*l + 1087 = 0. Let b = -2177/8 + i. What is the common denominator of b and 71/28?
56
Suppose 0 = 2*d + 10, -h + 123 + 116 = -3*d. Let z = 12/11 - 161/198. Calculate the common denominator of 28/h + (-590)/176 and z.
198
Let f = 157 + 368. Calculate the smallest common multiple of f and 315.
1575
Suppose 4*v = -2*v - 282. Let a = v + 50. Suppose 4*z + 30 - 147 = r, -2*r = -a*z + 84. Calculate the least common multiple of z and 30.
30
Let j = 8845693/87726 + 2/14621. Let z = 8737/84 - j. Find the common denominator of z and 18/32*26/3.
56
Let o(l) = 10*l - 9. Suppose 4*i = -5*u - 142, -i - 30 = 7*u - 3*u. Calculate the lowest common multiple of (-8)/32*(i + 2) and o(3).
63
Let o = -3279 + 5535. What is the least common multiple of 9 and o?
6768
Let i = -1750 - -1950. Calculate the least common multiple of i and 25.
200
What is the common denominator of 109/234 and (-302)/133*(-1708)/(-43920)?
22230
Suppose 105000 = 5*h - 28425. Let w be 135/54*(-1)/h. Let m = 109412/37359 + w. Calculate the common denominator of m and 51/8.
56
Let x = -330 - -326. What is the common denominator of -2*1*(-899)/(-870) + x and -13/11?
165
Suppose 0 = a - 4 + 5, 0 = 5*t + 3*a - 237. What is the smallest common multiple of (t/(-18))/(5/(-45)) and 36?
72
Let i(g) = 32*g + 669. Calculate the least common multiple of 91 and i(25).
10283
Calculate the common denominator of -193/5580 and (69/198 - (-4)/(-22))*744/16.
5580
Let b(x) = -x**2 - x + 5. Let v be b(0). Let z be (-2 + v + -2)*(-1 + 296). Calculate the common denominator of 2/3*z/50 and 83/21.
105
Suppose -19 + 153 = -4*k - n, k - 3*n = -40. Let s = 126 + k. Let r = s - 56. What is the lowest common multiple of r and 12?
36
Let n = 5137 - 2799664/545. Let w = 461/45780 + n. Calculate the common denominator of w and 23/14.
84
Let x = 157 - 93. Suppose 5*b - 7*u - 237 - 93 = -12*u, -18 = 3*u. What is the smallest common multiple of x and b?
576
Let n be 5 + 1 + -13 + -2083. Let y = 20997/10 + n. Let a = -113617/22 - -5160. Calculate the common denominator of a and y.
110
Suppose 45*c - 47*c - 3*f = -87, -c - 5*f = -26. Calculate the common denominator of 2/21*(-255)/4 and (c/(-7))/((-132)/(-231)).
28
Let r = 3825 - 3519. Calculate the lowest common multiple of r and 8.
1224
Let y = -29143 - -29148. Suppose 258 = q + q. Calculate the lowest common multiple of y and q.
645
Let m be 11906/12*(-14)/21. Let r = 666 + m. Let d = -89705/23 - -3899. Find the common denominator of r and d.
207
Let w(r) be the second derivative of r**4/12 + 5*r**3/6 + 5*r**2/2 + 42*r. Let s be (-7)/((-14)/(-8)) + -1. Calculate the lowest common multiple of 8 and w(s).
40
Let m = -2294698 - -2294704. Suppose -3*g = 169 - 532. Suppose -7*p - 64 = -2*v - 3*p, -5*v - 3*p + g = 0. What is the lowest common multiple of m and v?
78
Let c = -44299/10 - -4437. Let b = 392 - 767/2. Find the common denominator of b and c.
10
Let d = -109244 - -14420303/132. Find the common denominator of 37/132 and d.
132
Suppose -4*d = d - 270. Suppose -22*f = 7*f - 261. Suppose 0 = -14*i + 131 + f. Calculate the lowest common multiple of d and i.
270
Let y be 56*(-2 - 9/(-3))/1. Suppose -61*q