/27808 and -89/218?
3488
Let x(d) = 23*d**2 + 9*d + 14. Calculate the lowest common multiple of 152 and x(-2).
1672
Let n be 9/18 - (-751262)/351. Let p = n - 27864/13. Calculate the common denominator of -115/12 and p.
108
Suppose 0 = 3*n - 102 + 12. Let a(p) = -11*p**3 - 3*p**2 - 4*p - 2. What is the least common multiple of n and a(-1)?
30
Let r = -2789/3 - -27803/30. Find the common denominator of -48/185 and r.
370
Let r be (-10)/(-25) - 6/15. Suppose -25 - 38 = -3*f + 5*q, q = r. Calculate the lowest common multiple of f and 7.
21
Let i = 1604173829/64 - 25052822. Let o(z) = 12395*z. Let m be o(1). Let q = m - i. Calculate the common denominator of 145/6 and q.
192
Let b = 27574577/30 + -919066. Let f = -248/3 + b. What is the common denominator of f and 149/450?
450
Suppose -c - 8*q + 213 = -59, -q + 1126 = 5*c. Calculate the least common multiple of 150 and c.
16800
Let w = -13 + 3. Let c be w*(-5)/(-20)*1*-22. Suppose -c = -4*f + 29. Calculate the lowest common multiple of 27 and f.
189
Suppose -59*q + 55*q + 8 = 0. Suppose 3*k = -s - k + 20, q*s - 2*k = 80. Calculate the least common multiple of 44 and s.
396
Suppose 100*l - 295 = 305. Calculate the smallest common multiple of l and 528.
528
Let r = 29897/740 + -607/15. What is the common denominator of r and 32/259?
3108
Let c = 278 + -176. Let t = c + -511/5. What is the common denominator of t and (4/(-12))/(2/(-39))?
10
Suppose -14*c + 10*c = 5*u - 409, 3*c + 3*u - 303 = 0. What is the smallest common multiple of (-7)/((-28)/c)*(3 + -1) and 40?
240
Let j = -1/293 + -30167/3516. Calculate the common denominator of ((-4495)/(-372))/((-36)/(-16)*-2) and j.
108
Suppose 2*g - 5*f + 43078 = -f, 43054 = -2*g - 4*f. Let x = 775295/36 + g. What is the common denominator of x and -117/40?
360
Let o = 12/6755 + 4315/156716. What is the common denominator of o and -23/28?
4060
Let d = 249925/24 + -10409. Suppose 0 = -4*s + 46 + 34. Calculate the common denominator of (-94)/s + -4 + 6 and d.
120
Let g = 11232 - 168413/15. Find the common denominator of g and 26/4947.
24735
Let p(h) = 1800*h**3 - 2*h**2 - 4*h - 2. Let l be p(-1). Let u = l - -9036/5. Find the common denominator of u and -4/21.
105
Let q be 0/((-5)/15 - (-5)/(-3)). Suppose -7*p + p + 18 = q. Suppose p*r + 15 - 135 = 0. What is the smallest common multiple of 8 and r?
40
Let y = 179821/2 + -91928. Let u = 2062 + y. Calculate the common denominator of 21/268 and u.
268
Let r = 9821/2629 - 2/239. Let c be (-4)/110*-11 - (-26)/10. Find the common denominator of c/(-18) - ((-3289)/(-24))/11 and r.
88
Let y be 136/34 + 29732/(-9). Let l = -3304 - y. Calculate the common denominator of l and 121/54.
54
Let d(b) be the second derivative of 2*b**4/3 - 2*b**3/3 + 2*b**2 + 3*b - 5. What is the lowest common multiple of d(2) and 4?
28
Let y = 255 - 219. Suppose -y = 85*w - 87*w. Let t = 305/4 - 815/12. What is the common denominator of w and t?
3
Suppose 25*m = 15*m - 20. Calculate the lowest common multiple of (m/7)/((-2)/56) and 12.
24
Let r = -1399306/2366571 + -3/25447. Find the common denominator of r and (-43)/(-8) + -4 + -1 + 5175/(-1512).
651
Suppose -97*a - 66 = l - 98*a, -3*l = 4*a + 219. Let u be ((-2 - 0) + 3)*95. Let g = l + u. Calculate the smallest common multiple of g and 3.
78
Suppose -4*a = -6*w - 132, -2*a - 6 = 5*w - 40. What is the lowest common multiple of a and 69?
621
Let p be 5 + ((-626)/776)/(21/154). Let t = p - -8/97. What is the common denominator of 35/48 and t?
48
Suppose 21*f - 7*f = 0. Suppose 14*u - 10*u - 128 = f. What is the lowest common multiple of 16 and u?
32
Suppose -3*d + 2974 = -8300. Let i = 41570/201 + 5709433/1608. Let t = i - d. What is the common denominator of t and -43/6?
24
Let k(u) = -u - 5. Let w(g) = -58*g - 130. Let x(b) = 2*k(b) - w(b). Calculate the smallest common multiple of 32 and x(-2).
32
Let p(i) = 1. Let b(n) = -n + 7. Let g(u) = b(u) - 6*p(u). Let x be g(-2). Calculate the common denominator of -63/118 and x - (72/(-10) - -1).
590
Let k = 91 - 61. Let t = 39 - k. Calculate the common denominator of (6/t)/((-64)/212) and 59/20.
120
Let j = -226927/902292 - -50/4423. Find the common denominator of -95/576 and j.
9792
Let o(i) = 2*i - 8. Let x be o(6). Suppose 2*h = 3 - 13, -x*h = 3*k + 1460. Let y = k - -869/2. Calculate the common denominator of 56/5 and y.
10
Find the common denominator of (3/2*-2 - 2548/2288) + (58 - 55) and (0 - 194/144) + 0.
792
Suppose 4*z = -6*z + 170. Let i(p) = -p**2 + 20*p + 13. Calculate the lowest common multiple of i(z) and 20.
320
Let q(t) = -t**3 - 9*t**2 - 6*t + 19. Let o = -45 - -37. Let f be q(o). Suppose -15 = -6*k + f*k. What is the least common multiple of 10 and k?
10
Calculate the common denominator of (-3)/5 + 924903/1340680 and -67/36.
8712
Let r be -23 - 2/(-3)*-3. Let m be (-7 - -2)*(-30)/r. Let c(j) = j**2 + 4*j + 2. Calculate the smallest common multiple of c(m) and 14.
14
Suppose -8*k + 67 = -5*k - 5*j, 0 = k - 4*j - 27. What is the smallest common multiple of 147 and k + (-5 - -20)/3?
1176
Let d(f) = -9*f**2 + 48*f + 1. Let n be d(-10). Let o = n + 44053/32. What is the common denominator of -44/5 and o?
160
Suppose -5*n - 5*q + 966 + 1259 = 0, n = -4*q + 454. Let s = n - 422. What is the least common multiple of s and 14?
140
What is the common denominator of 119/24 and ((-236)/6)/(1951 - 185)?
21192
Let t(m) = 2*m**3 - 2*m**2 + 4*m + 2. Let f be t(3). Let y(n) = 4 - 39*n - n**2 - 6 - 10 + f*n. What is the lowest common multiple of y(8) and 36?
36
Let d be (-4 - -76) + 0 + 5. Let j be (20730/(-63882) + 2)*d/30. Let r = -2/4563 + j. Calculate the common denominator of r and -49/78.
390
Let f(j) = j**2 + 18*j - 198. Calculate the smallest common multiple of 54 and f(-27).
270
Let z = 37638 + -37116. What is the lowest common multiple of z and 1305?
2610
Let c = 735 + -1905. What is the common denominator of (-8)/(-12) + (-96)/99*-1 and ((-13)/c)/(2/316)?
495
Let u = -244447877/666 - -367039. Calculate the common denominator of u and 47/592.
5328
Let k be 21/7 + (4 - 0). Suppose 0 = -2*l + k*l - 15. What is the smallest common multiple of 11 and l?
33
Let d = -54 + 144. Calculate the least common multiple of 180 and d.
180
Let i(t) = -4*t**3 + 7*t**2 - 11*t + 5. Let b be i(5). Let m = b + 377. What is the least common multiple of m and 6?
6
Suppose -8*t - 42 = -t. Calculate the common denominator of (6/(-20))/((-12)/265) and (-1769)/(-1914) + 2/t.
88
Suppose 0 = 39*u - 41*u - 6. Let s be (u/(-4))/((-30)/940). Let c = s + 18. Find the common denominator of c and 13/2.
2
Let b = 368213587/20 + -18400761. Let d = 9914 - b. Find the common denominator of -7/96 and d.
480
Let h = 336 + -84. Calculate the common denominator of 23/18 and -1 - ((-50)/225 - 1114/h).
126
Let s be (-1)/(56/665902) - -1. Let z = -21230 + 9342. Let n = s - z. Calculate the common denominator of 69/28 and n.
28
Let m = -38 - -60. Calculate the least common multiple of 0 + -2 + -58 + 57 + 13 and m.
110
Find the common denominator of -21/52 and (-173 - 1)*20/(-11360).
3692
Calculate the common denominator of -103/360 and ((-4005)/1500)/((-72)/(-5)).
1440
Let v be 1/2 + 2*(-423)/36. Let h be (-4 + -1)*(-92)/v. Let f = h - -26. Calculate the smallest common multiple of f and 6.
6
Let h = -64 + 107. Calculate the least common multiple of h/7 + (-6)/42 and -1 - 936/(-16)*2.
348
Let t = -542030 + 500835541/924. What is the common denominator of t and 35/363?
10164
Let m be (-1 - (-1189524)/(-30))*(-15)/66. Let n = -9010 + m. Calculate the common denominator of n and (-2 + 0)/((-24)/(-78)).
22
What is the smallest common multiple of 208/(-10)*(272*16/(-32) - 9) and 3393?
27144
Suppose -2*o + 6*o - 2*b - 416 = 0, -313 = -3*o + b. Suppose 5*w = 4*w - 4*m + 16, -5*m = -5*w + o. What is the lowest common multiple of 4 and w?
20
Let f = -75071941 - -1652086009/22. Let y = f + -22882. What is the common denominator of 87/82 and y?
902
Suppose 6 = m - 1. Let z = m - -20. Calculate the lowest common multiple of (-9 + 9 + -4)/(4/(-30)) and z.
270
Let n(s) = s**2 + 28*s + 29. Let r be n(-27). Calculate the common denominator of r/(-3)*78/(-32)*-7 and -73/4.
8
Let w be (-9)/(18/(-2)) + (1870 - 1). Calculate the common denominator of (26/25)/(17/(w/99)) and -13/36.
180
Let a = 