162)/(-4)?
40
Let x be (-1)/(11*3/9). Let b = x + 23/44. Calculate the common denominator of b and -67/3.
12
What is the common denominator of 0 + (0 - (-25)/8) and 4686/176*(-4)/6?
8
Let i = -28125/32 + 879. What is the common denominator of i and -7/12?
96
Let b = 43/2 - 21. Find the common denominator of ((-872)/144)/((-4)/6) and b.
12
Let l be (3 + (-1)/3)*81. Find the common denominator of 2/(-9) + 2244/l and -83/10.
30
Suppose 3*i + 66 = x, 2*i + 330 = 5*x - 0*i. What is the common denominator of (-14)/(-21) - (-124)/x and 36/11?
11
Calculate the smallest common multiple of 2 and (3 - 4)/((-5)/45).
18
Let y = -138575/60822 + 2/3379. Find the common denominator of y and 39/14.
126
Let x(c) = c**2 + 5*c - 3. Let p(y) = -2*y**2 + 3*y + 2. Let u be p(3). Suppose -5*l + 15 = -0*l. What is the lowest common multiple of l and x(u)?
33
Suppose 0 = -4*z + y - 43, -32 = 4*z - 3*z + 4*y. Find the common denominator of (-87)/14 + (-6)/z and -45/7.
7
Calculate the smallest common multiple of (-10)/25 - 37/(-5) and 9.
63
Let t = 60917/31338 - -1/1741. What is the common denominator of (4 - (-115)/(-30)) + 338/(-120) and t?
180
Let a(c) = 6*c**3 + 2*c**2 - c + 1. Let l be a(2). What is the common denominator of ((-2)/((-200)/186))/((-102)/(-85)) and 2/8 + l/(-4)?
20
Let n = 20 - -2. Suppose 3*g = -2*g + 90. What is the least common multiple of n and -1 + -1 + 2 + g?
198
Suppose 3*f + 20 = 4*a + 4*f, 3*a - 2*f - 4 = 0. Suppose -a*k - k = -45. Let h = 173 - 171. What is the least common multiple of k and h?
18
Suppose 2*f + 163 = 3*c + f, -55 = -c + f. Calculate the common denominator of 9/22 and (137/(-5))/(c/15).
198
Suppose 3*n - 12 = -4*k, 5*k + 4 = -n + k. Calculate the smallest common multiple of n and 2.
8
Suppose -3*f + 3*d = -d - 23, -f = -2*d - 9. Let m = 17 - f. What is the lowest common multiple of 20 and m?
60
Let r = -10 + 16. What is the common denominator of -25/12 and (572/(-8))/(0 - r)?
12
Suppose 5*t = 5*w - 3*w - 11, -w - 5*t = -13. Suppose -d + 5*d = w. Let p(u) = -u**2 - 7*u - 3. Calculate the smallest common multiple of d and p(-3).
18
Suppose 4*f + 39 + 17 = 0. Find the common denominator of 3091/3080 + 6/f and 29/22.
440
Let y = -59423/18 + 3298. Calculate the common denominator of y and 89/15.
90
Suppose 6*n - 11 - 1 = 0. What is the smallest common multiple of 32 and n?
32
Suppose 4*v + 4*y - 44 = 0, -2*y + 3*y - 31 = -3*v. Suppose 3*m + 5*r = 11, -3*r + 3 = -5*m + 10. Calculate the least common multiple of m and v.
10
Suppose 0*o - 2*o + 4 = 3*i, -o - 5*i + 2 = 0. What is the lowest common multiple of o and 12?
12
Suppose k + 2*f - 78 = -4*k, -4*f = 4. Calculate the lowest common multiple of 4 and k.
16
Let n(d) = -d + 1. Suppose -711 + 760 = 7*s. What is the least common multiple of n(-4) and s?
35
Let t be 89*2/((-2)/(-1)). Let p = 757/9 - t. Calculate the common denominator of p and ((-1)/5)/(1/(-6)).
45
Let y = -1322/435 + 11674469/9570. Let p = y - 1216. Find the common denominator of p and 9/8.
88
Let j(i) = -i**3 + 5*i**2 + 2*i + 2. Let p be (-52)/(-10) + 1/(-5). Calculate the smallest common multiple of 4 and j(p).
12
Suppose -4*o + 65 + 2 = 5*c, 2*o - 38 = -4*c. Let k = o - 7. Suppose 3 = 5*p - 2. Calculate the lowest common multiple of k and p.
6
Suppose -2*d + 7 = 3*n - 7, 0 = -5*n + d + 32. Let j = -1 - 8. Calculate the common denominator of 34/5 and (-79)/33 - n/j.
55
Let z = 3728 + -8703. Let i = -29917/6 - z. Find the common denominator of ((-1)/8)/((-3)/(-106)) and i.
12
Let o(l) = -4*l - 12. Suppose 2*k - 2*v - 21 = 3, -4*k = 2*v - 60. What is the least common multiple of o(-8) and k?
140
Let x = -12 + 9. What is the common denominator of (x/4)/(6 + -4) and 73/9?
72
Suppose o = 5*o - 644. Find the common denominator of 47/8 and (-6)/(-4)*o/(-84).
8
Suppose 0 = i - 3*s - 13, i + 5*s - 25 = 12. Let n(m) = m**2 + 21*m + 82. Calculate the smallest common multiple of n(-18) and i.
308
Suppose 0 = -6*z + 27 - 15. Calculate the lowest common multiple of 9 and z.
18
Suppose -4*y + 2139 = -1325. Let l = -43/40 - 13/10. Find the common denominator of (-6)/27 + y/252 and l.
56
Let j = 21 - 11. Let u = j - 7. Calculate the least common multiple of (6/u)/(1/10) and 6.
60
Let r = -145919/16 - -9116. What is the common denominator of r and -125/12?
48
Let l be ((-3)/2)/(3/(-4)). Suppose 0 = -r + l. Calculate the lowest common multiple of r and 22.
22
Calculate the smallest common multiple of 30 and (-2)/10 - 3/15*-91.
90
Let a = 3/457 - 5968/4113. What is the common denominator of a and 129/27 - (0 + 4)?
9
Suppose 15 = -u - 4*m, -3*u = -7*u + 2*m - 24. Find the common denominator of 3/(-6) + 74/9 and (-290)/(-308) - 2/u.
198
Suppose -6 = -0*d - 2*d. Suppose d*y = 4*y + 1450. Let x = 8785/6 + y. What is the common denominator of x and -111/10?
30
Let r(x) = -3*x - 25. Calculate the smallest common multiple of 3 and r(-12).
33
Suppose 5*t - 47 = -4*v, 5*t - 19 = t + 3*v. Calculate the lowest common multiple of 2 and t.
14
Let l be 2 - 221/2832*71. Let r = 26/177 - l. Calculate the common denominator of r and 47/6.
48
Let w = 629/8 + -77. Calculate the common denominator of 0 + 4/((-32)/81) and w.
8
Suppose 5*k = m + 45, -3*k - 4*m + 4 + 0 = 0. Calculate the common denominator of 2/4*124/(-6) and (9/(-20))/((-3)/k).
15
Let s be (-2)/(-4)*(-1 - -1). Suppose s*x - 2*x + 17 = 3*n, x - 6 = -4*n. Calculate the common denominator of -65/9 and (x*2)/((-6)/(-2)).
9
Suppose 0 = 4*k + 12, -2*q - 5 + 0 = k. Suppose -5*d = -4*d + 3. Find the common denominator of 73/22 and q/d*141/(-4).
44
Let c be (-44)/77 - 6/14. What is the least common multiple of 2/c*12/(-8) and 7?
21
Let w = 1 - 0. Suppose 2*v + 2*m = v - 2, -2*v = 3*m. What is the lowest common multiple of 1 + v + -1 + 1 and w?
7
Suppose -5*s - t + 1099 = 0, 3*t + 319 = s + 96. Calculate the common denominator of (-802)/s + 8/(-20) and 111/10.
110
Let c(k) = 11*k. Suppose -2*s + 33 = 3*x + s, -2*s = -6. Suppose 3*d = 5*z, x - 33 = -5*z - 2*d. Calculate the least common multiple of z and c(1).
33
Let m(l) = -l**2 - 7*l - 1. Let h be m(-7). Let a(s) = 19*s**2 + s. What is the least common multiple of 2 and a(h)?
18
Let f = 603/8 + -73. Let n = -176719/9222 - 6/1537. Calculate the common denominator of f and n.
24
Let c(i) = -2*i - 10. Suppose -3*u = 5*r + 17, -3*u = 7*r - 3*r + 13. Calculate the least common multiple of c(-7) and u.
4
Let c be 2/6 + 136/(-12). What is the common denominator of -2 + 0 - 37/c and (-227)/44 - 3/(-12)?
11
Suppose -x - 156 = -2*m - 1264, 3*m + 3324 = 3*x. Let q = 12167/11 - x. Let y = -2/1497 + 73373/14970. What is the common denominator of y and q?
110
Let z be (244/6)/(105/(-20)). Let t = 34/7 + z. Calculate the common denominator of -13/7 and t.
63
Suppose -2*t = -3 - 17. What is the smallest common multiple of t and 3?
30
Let z = 12671/8 + -1588. What is the common denominator of 55/4 and z?
8
Suppose -4*p + 17 = -7. Suppose -d = -p - 10. Calculate the least common multiple of d and 4.
16
Let j(l) = 1060*l**3 + l**2 - 2*l + 1. Let f be j(1). Let s = f + -8463/8. Find the common denominator of 27/22 and s.
88
Suppose 0 = 3*v + 2*v - 25. Suppose 0 = -2*n - 3*n + v*u + 45, n + 5*u = 21. What is the least common multiple of n and 4?
44
Let d(g) = g - 8. Let q be d(8). Let i be (q + -1)*(3 - 5). Suppose 3*x = -4*o + 21, 6*x = i*o + x - 17. Calculate the smallest common multiple of 4 and o.
12
Let b be 1/(-2) - 51/(-6). Let u = b + -4. Calculate the lowest common multiple of u and 12.
12
Suppose -20 = -3*f + 5*o, 4*f - 55 = -5*o + 30. What is the lowest common multiple of 6 and f?
30
Calculate the smallest common multiple of 11 and 1*-3*(-5)/3.
55
Let v be (1/(-3))/(3/(-36)). Let r = 2 + v. Let b = 1 + r. What is the lowest common multiple of 5 and b?
35
Let g = -23/61 - -5247/488. Calculate the common denominator of -53/12 and g.
24
Let g = 11 + -7. Calculate the least common multiple of (-6)/g*8/(-3) and 4.
4
Suppose -12 = -3*w + 2*w. Calculate the lowest common multiple of 6 and w.
12
Suppose 4*i = -4, 0 = 3*c - 2*i - 81 + 7. Find the common denominator of -89/2 and -2 + 4 - 266/c.
12
Let m(d) = -d**3 + 4*d**2 - 2*d - 3. Let l be m(3). Suppose 5*f + b - 25 = l, -5 = b - 0*b. Let u = f + 4. What is the lowest common multiple of u and 12?
60
Let p = 23