12 - -14). Let w = -1971 - y. Calculate the common denominator of 4/(-10) - 458/(-70) and w.
70
Let s(w) = -w**2 - 12*w + 20. Calculate the smallest common multiple of s(-13) and 8.
56
Let d be 4 + -3 - (-282)/(-280). Let c = -44/35 - d. What is the common denominator of 11/6 and c?
12
Suppose -2*x - 3 - 1 = 0. Let j be (-1)/x + (-8332)/(-40). Let c = 2067/10 - j. What is the common denominator of c and -31/9?
90
What is the common denominator of 18/(-270)*10*254/(-16) and -67/63?
252
Let f = -28 + 33. Suppose -19 = -i + 3*j, f*i - 40 = 2*j - 10. What is the lowest common multiple of 9 and -5*(2 - i)/10?
9
Let k be ((-304)/(-40))/(2/5). Suppose 4*v - 13 = k. Calculate the lowest common multiple of v and 22.
88
Suppose 4*t - 89 = -5*r, 2*t - r + 15 = 56. Suppose 5*x + 3*i - 67 = 0, 0 = 5*x - 3*i - t - 22. What is the lowest common multiple of 19 and x?
209
Let c(b) = 2*b**2 - b - 3. Let v be c(2). Suppose 0 = v*s + s - 32748. Let a = -180211/22 + s. Calculate the common denominator of -113/18 and a.
198
Let j(i) = -i**3 + 15*i**2 - 4*i - 44. Calculate the least common multiple of 216 and j(14).
864
Let f be 2*(-2)/8 + 5536/(-250). Let c = 18/125 + f. What is the common denominator of 59/14 and c?
14
Suppose 3*b = 4*h + 123, 3*h - 5*b = -15 - 69. Let a = 13 - h. Let n = 4132/5 + -36923/45. Find the common denominator of n and a.
9
Let t be (3/(-78))/((-15)/2553). Let a = -2352 - -152864/65. Let f = a + t. Find the common denominator of f and 83/12.
60
Suppose -2*f = -2 - 8. Suppose 42 = v + f*v. What is the smallest common multiple of v and 1?
7
Let l(u) = -3*u - 14. Let m be l(-5). Calculate the common denominator of -31/6 and (-1)/(m/3) + (-308)/72.
18
Suppose 56*w = 13*w + 1935. Calculate the least common multiple of w and 45.
45
Let v = 1 - -2. Suppose 0 = 2*p - 3*h - 18, 2*p - v*h = 4*p - 30. Calculate the smallest common multiple of p and (54/(-24))/((-6)/32).
12
Let u(i) = -i**3 + 15*i**2 - 13*i - 16. Let t be u(14). Calculate the least common multiple of t/7 + (570/7)/5 and 10.
80
Let n = -828/259 + 1224548/1295. Suppose -11*u - 3756 = -7*u. Let w = u + n. What is the common denominator of -137/6 and w?
30
Let t(y) = y**2 - 7*y + 8. Let m be t(6). Let j be 10*(1 + m) - -3. Let o = j - 27. Calculate the smallest common multiple of o and 20.
60
Let i be ((-3)/(-6))/((-4)/(-16)). Suppose -i*a = -7 - 29. Let m = 43 + -21. What is the lowest common multiple of m and a?
198
Let s(g) = 5*g**2 + 41 - 16*g + g**2 - 7*g**2. What is the lowest common multiple of s(-18) and 1?
5
Let c = 287213/70332 + -2/5861. Find the common denominator of c and -5/462.
924
Suppose -1300 + 1220 = -10*z. Calculate the lowest common multiple of 40 and z.
40
Let p(y) = 3*y**2 - y - 3. Let j be p(2). Calculate the lowest common multiple of -6 + 5 + -4 + j and 18.
18
Let z = -17 + 7. Let x = -107 - 28. Find the common denominator of (-1704)/x + z/45 and -46.
5
Suppose -5*g + 452 = y, -3*y - 326 - 118 = -5*g. Calculate the least common multiple of g and 80.
720
Let n be (-562)/(-17) - 24/(-6)*1. Let k = -12/74585 - -57385903/1267945. Let x = k - n. Calculate the common denominator of x and 3.
5
Let q = -15 + 15. Let u be -8*(q + 3/6). What is the common denominator of -21/10 and u - (-4)/(32/27)?
40
Let u = 83049863/330 - 251666. Find the common denominator of -71/4 and u.
660
Let p be ((-3672)/(-85))/((-2)/10). What is the common denominator of -47/142 and -2 + 0 - (-564)/p?
1278
Let v(i) = 2*i - 1. Suppose 3*h + 5*b - 8 + 2 = 0, 0 = 4*h - 3*b - 8. Suppose -n + 0*n = -h. Calculate the least common multiple of v(6) and n.
22
Let p be ((-1)/(-2))/(4 + (-988)/248). Suppose -p*i + 34*i = 36. Calculate the least common multiple of i and 10.
60
Let c(j) = j + 19. Let h be c(0). What is the lowest common multiple of 11 and h - (3 - 2) - 4?
154
Let n(i) = -87*i + 59. What is the lowest common multiple of 6 and n(-5)?
1482
Suppose 0 = -0*n + 3*n - 12. Let i(t) = -t**2 + 3*t + 14. Let o(l) = 2*l**2 + 7*l + 5. What is the lowest common multiple of o(-4) and i(n)?
90
Calculate the lowest common multiple of 58 and (2*5)/(((-256)/16)/(-32)).
580
Suppose 95 + 85 = -3*x. Calculate the common denominator of ((-5)/(-30))/((-9)/114) and (-78)/x + 1/5.
18
Find the common denominator of 67/30 and -18*(10 - (-4218)/(-420)).
210
Let q = 0 - -2. Suppose q = -j - 5. Calculate the common denominator of (-133)/(-30) - j/(-21) and -42/5.
10
Suppose 5*z + 112 = n + 85, 4*n = 3*z + 91. Calculate the lowest common multiple of n and 220.
220
Suppose 19*k + 11*k - 180 = 0. Calculate the smallest common multiple of 127 and k.
762
Let x be (3 - 1) + ((-1100)/32)/(-1). Let t = x + -1313/24. What is the common denominator of 89/10 and t?
30
Suppose -11 - 13 = -5*d + h, 28 = 5*d + 3*h. Suppose 4*b - d*r - 30 = 24, -r - 46 = -3*b. Calculate the lowest common multiple of 2 and b.
16
Suppose -3*q + 4*a + 2 = -2, 1 = -4*q - a. Suppose q = -4*u - u. What is the lowest common multiple of 7 and (4/(-1))/(-2) + u?
14
Let j = 37865 + -3975788/105. What is the common denominator of 107/30 and j?
210
Let u(p) = p**3 + 4*p**2 - 1. Let b = -21 - -27. Suppose b*a - 16 = 2*a. What is the least common multiple of u(-3) and a?
8
Let k be ((-2)/(-22))/(5/201950). Let m = 3668 - k. What is the common denominator of 25/3 and m?
33
Let m = -1 - 76. Let u = -75 - m. What is the lowest common multiple of u and 1?
2
Suppose -11 + 53 = 3*v. Suppose 3*s - v = 4. Let p = -2411 + 2417. What is the smallest common multiple of p and s?
6
Suppose -3*o - 12 = 288*m - 289*m, -10 = -m + 2*o. Calculate the lowest common multiple of m and 33.
66
Let k = 1/9646 - -1835151/4823. Let q = 397 - k. Find the common denominator of q and -29/4.
4
Calculate the common denominator of (6215/77)/(-5)*(-14)/60 and -1*127/18 + 1.
90
Find the common denominator of 33/88 - 15/(-9)*3 and 101/370.
1480
Let q(m) = m**2 + m + 77. Let b be q(0). Suppose -53 - 107 = -4*h. Let t = h - b. Find the common denominator of 13/10 and t.
10
Let a(v) be the third derivative of v**5/60 + v**4/8 + 13*v**2. What is the lowest common multiple of 32 and a(3)?
288
Suppose 74 = -8*g - 94. Let y(u) = 2*u**3 - 1. What is the lowest common multiple of y(1) and (1 + -3)*g/6?
7
Let a = 13011861744 - 118407942041021/9100. Let f = -1/2275 + a. Find the common denominator of (-2)/108*-46*3 and f.
36
Suppose -118*p + 150*p = 421 + 91. Suppose k - 52 = 5*q, 10 = -2*q - 2*k - 3*k. Let b = 10 - q. Calculate the least common multiple of p and b.
80
Let x = 721 - 644. What is the least common multiple of 35 and x?
385
Suppose 2*l - 5*l + 3 = 0. Calculate the lowest common multiple of ((-112)/16)/(1/(-2)) and (-4 + l - 5)*-2.
112
Let k(c) = -8*c**2 + 13*c + 3. Let m be k(-7). Calculate the common denominator of 79/14 and (-2726)/m - 8/(-60).
112
Suppose 3*r - 3*m + 3 = -9, -m = -1. Find the common denominator of -8/9 and 34/5 - (9 + -4 + r).
45
Let l(o) = 3*o**2 - 51*o + 10. Let n be l(17). Let t(x) = -3*x - x - 22 + x**2 - 2*x. What is the lowest common multiple of 14 and t(n)?
126
Let i = -6 + 10. Find the common denominator of 9/i*(-50)/12 and -49/18.
72
Suppose 5*o - 4*j - 28 = -8*j, -4*j - 12 = 0. Calculate the common denominator of -101/20 and (-38)/o + (52/12 - 5).
60
Let p = 51 - -152. What is the lowest common multiple of 29 and p?
203
Suppose 0 = -0*t + 3*t + 12. Let g(m) = -m - 1. Let c = 451 + -2258/5. Calculate the common denominator of c and g(t).
5
Suppose -5*j + 9*j - 502 = -d, 4*j = -5*d + 2590. What is the smallest common multiple of 12 and d?
1044
Let z(f) = f**3 + 40*f**2 - 2*f + 40. What is the smallest common multiple of z(-40) and 36?
360
Let a be ((-52)/(-65))/(2/(-145)). Let g = -22 - a. Calculate the lowest common multiple of g and 4.
36
Suppose 691 = -0*c + 4*c + z, -4*c + 2*z + 682 = 0. Calculate the common denominator of 71/22 and (3 - c/57)/((-4)/(-354)).
418
What is the common denominator of (-212)/72 - (-6 + 3) and -3 - (-1)/36*74?
18
Suppose 0 = -5*f + 3*s - 113, f - 2*f - 3*s - 19 = 0. Let k = f - -46. Calculate the least common multiple of k/2*6/9 and 6.
24
Let k = 8667 - 52121/6. Find the common denominator of (159/9)/(12/2) and k.
18
Let x = 6/175 + 4931/4200. Calculate the common denominator of x and -11/9.
72
Suppose 5*p - 45 = 15. Suppose -a = -3*k +