?
63
Let w = 572510/221 + -53894/17. Let u = w + 581. Let q = 2/3831 - 126443/38310. What is the common denominator of u and q?
130
Let u(s) = 0 - 2*s + 0*s + 3*s + 1. Let r(v) = v**3 + v**2 - 8*v + 7. Calculate the lowest common multiple of r(2) and u(5).
6
Let s be 4 - (32/(-2))/(-4). Suppose -3*q - 5*n = 3, 1 + s = q + n. Suppose -q*u - 2 = -14. What is the lowest common multiple of 4 and u?
12
Let t(m) = 2*m**3 + 13*m**2 + 4*m - 11. Let u be t(-6). Calculate the least common multiple of u + (-16)/4 + 9 and 3.
6
Let p = -5439099/70 + 77700. Calculate the common denominator of p and -89/90.
630
Suppose 0 = -0*s - s + 1. Let p = -42 - -52. Suppose -b - p = -11. Calculate the lowest common multiple of s and b.
1
What is the common denominator of -77/30 and (-3 - 392/4)/(-8)?
120
Let f(z) = -z**2 + 31*z - 39. What is the lowest common multiple of f(28) and 27?
135
Let f = 118/13 - 439/130. Suppose 2*c - 642 = 3*c. Find the common denominator of f and c/(-60)*10/(-12).
60
Let o = 38164642 + -26028277409/682. Let n = o + -444/31. Calculate the common denominator of -39/22 and n.
22
Let v(f) = f**3 - 8*f**2 - 7*f - 16. Let m be v(9). Suppose -3*q = 3, m*q + 14 = 4*s - 2*s. Calculate the least common multiple of 14 and s.
42
What is the common denominator of -131/96 and (45/(-120))/(6/62)?
96
Let a(d) = d**2 - 5*d + 8. Let v be a(6). Calculate the common denominator of (v/6)/(2/(-3)) and -1/19.
38
Let q = 1/27 + -248/135. Let f = 3629/35 + -786/7. Calculate the common denominator of f and q.
5
Suppose -32 - 76 = -4*y. Suppose -y = -2*r - a, 7*r = 3*r + a + 63. Calculate the least common multiple of r and 7.
105
Let m = 0 + 6. Let i = m + -11. Calculate the lowest common multiple of (40/(-25))/(1/i) and 8.
8
Let m = 210286/43 - 4891. What is the common denominator of m and 61/2?
86
Let j be (-449)/(-11) + (-2)/(-11). Let l = -3 + j. Let c = -26 + l. What is the smallest common multiple of 14 and c?
84
Let y(h) = -30*h + 282. Calculate the smallest common multiple of 66 and y(8).
462
Let s(n) = n**2 + 18*n - 41. Let j be s(-20). What is the common denominator of 203/(-44) + 9/12 and 0 + j/2 - 53/7?
154
Let q be (252/35)/(6/45). Suppose -2*k - t = -5*t - 36, 3*k + t = q. Suppose -u - n = 4*u - 32, 3*u = -5*n + 28. Calculate the least common multiple of u and k.
18
Let j = 7 - 5. Suppose p - 4 = -v, -5*v - 5 = -4*p + j. Suppose -p = -5*b + 37. Calculate the smallest common multiple of b and 3.
24
Find the common denominator of -38/17 and (-197)/55 - (100/(-110))/5.
85
Let l = -3/6166 + -76931/295968. Let j be (-2585)/672 - (-1)/(-4). Let g = j + l. What is the common denominator of -23/18 and g?
126
Suppose -9*k = -3*k + 150. What is the common denominator of ((-17)/(-8))/((-5)/(-10)) and k?
4
Let o = -20103 - -663326/33. Let l = 3455/6 - 573. Find the common denominator of l and o.
66
Let d = -8 - -16. Let o(z) = -5 + 13 + z**2 - d*z + 7. What is the lowest common multiple of 18 and o(7)?
72
Let n = -735/19 + 37. Find the common denominator of n and 2/9.
171
Suppose q = 4*q + 2*h + 65, h = -q - 21. Let a = -18 - q. What is the smallest common multiple of a and 10?
10
Suppose 0 = -a - 3*a - 228. Find the common denominator of 64/27 and ((-30)/6)/(0 - 144/a).
432
Suppose 7*c - 3*c - 320 = 0. Calculate the least common multiple of c and 60.
240
Let l = 2075/3864 + -74/161. Find the common denominator of l and -55/2.
168
Suppose -6*o + 0*o = -144. Let x = 0 + o. What is the least common multiple of x and 16?
48
Let z(y) = -y + 5. Let k be (-1)/(-2) - 33/(-6). Suppose k*h = 25 + 17. Calculate the least common multiple of z(-4) and h.
63
Suppose d + 3 = 5*g - 3, 3*d = 5*g - 8. Let o = -50 - -60. Calculate the smallest common multiple of o and g.
10
Let u = 633547044965 + -1294969902460523/2044. Let l = u + -125953. Let c = l - -24265/3066. Calculate the common denominator of c and -89/8.
24
Let v = 918 - 830. What is the smallest common multiple of 32 and v?
352
Let b = -626 + 5611/9. Calculate the common denominator of (-16)/12*(-13)/6 and b.
9
Let l = 412 - 765. Let n = -2819/8 - l. Let w = 244/5 + -633/10. Calculate the common denominator of w and n.
8
Let i be (6 + 0)*5/6. Let u be 132/15 + 1/i. Let y = -5 + u. Calculate the least common multiple of y and 5.
20
Let g = -5157/7 - -169712/231. What is the common denominator of 74/387 and g?
4257
Suppose 3*z + 24 = -57. Find the common denominator of -14/9 and (3*(-1)/z)/((-10)/(-123)).
90
Let z = -242 - -3865/16. What is the common denominator of z and -35/8?
16
Suppose -3*q - 2*q + 3*w + 75 = 0, -4*q + 97 = 5*w. Let v(x) = 4*x**2 - 4*x + 6. What is the lowest common multiple of v(3) and q?
90
Let g = 21 - 39. Let t be 4/g + 3967/(-18). Let j = -221 - t. Calculate the common denominator of j and 121/6.
18
Suppose w + 930 = 960. Calculate the least common multiple of 18 and w.
90
Let u(l) = 19*l + 626. What is the least common multiple of u(0) and 12?
3756
Let f(c) = c**3 + 4*c**2 - 4*c - 14. What is the least common multiple of f(-4) and 3?
6
Let c = 11 - 9. Suppose 2*m - 6 = 2*k, 0 = 2*m + c*m + 2*k - 18. Let l = 44 - 26. What is the lowest common multiple of l and m?
36
Suppose 0 = 12*b - 21 - 27. What is the least common multiple of b and 6?
12
Suppose 2*p - 15*c + 17*c = 26, -4*c + 16 = p. Suppose -4*v + 16 = 4*d, d + 3*v = 5*d - 30. Calculate the smallest common multiple of d and p.
12
Suppose 0 = -3*y + 27 + 15. Let j be 6/(-9) - (-65)/3. Suppose -2*q + j = -19. Calculate the smallest common multiple of y and q.
140
Let y = 2/1353 - 63599/5412. Let i be -2 - (-28 + 0 + -3). Find the common denominator of (1 - -2)*i/33 and y.
44
Suppose -3*r - 157 = d - 499, 0 = r + d - 114. Calculate the lowest common multiple of r and 8.
456
Let t(p) = -16*p + 4. Let h(d) = 17*d - 5. Let r(u) = 6*h(u) + 7*t(u). Let n be r(2). Let l = n - -32. What is the lowest common multiple of l and 11?
110
Let k(v) = -v**3 - 10*v**2 + v + 24. Let r be (-15)/(-3)*-2*1. Calculate the least common multiple of 4 and k(r).
28
Suppose 7 - 7 = 9*p. Suppose 3*d + 2*c = c + 12, p = -4*d + 5*c + 35. What is the least common multiple of 4 - 2 - -4 - 0 and d?
30
Suppose j + 5 = 5*c - 31, 5*j + 284 = -c. What is the lowest common multiple of 16 and 360/14 - 16/j?
208
Suppose 5*p + 381 = 161. Let t = -32 - p. Calculate the lowest common multiple of 8 and t.
24
Let d = -4851 + 12835. Let g = 79947/10 - d. Find the common denominator of g and (-3 + 0)*697/612.
60
Suppose -2*x = -z + 106, z = x + 3*x + 98. Suppose -z + 120 = s. Calculate the lowest common multiple of s and 9.
18
What is the common denominator of ((-2)/11 + 1344/770)/((-174)/(-145)) and (52/(-255))/(2/(-5))?
561
Let o be 1 + -1 + 6/3. Suppose -o*d = d - 9. What is the lowest common multiple of d and 6/30 - (-19)/5?
12
Suppose 4*n + 0*n + 4392 = 0. Let u = n + 10971/10. Find the common denominator of 113/6 and u.
30
Let p(g) = -g**3 + 4*g**2 + 5*g + 6. Calculate the least common multiple of p(5) and 42.
42
Let a = -531766/15 - -35488. Let t = a + -19568/555. Let h = t - 3665/222. Find the common denominator of 83/22 and h.
66
Suppose 14 = m + 14*u - 10*u, -5*m + 13 = u. What is the least common multiple of 16 and m?
16
Calculate the common denominator of -71/39 and 5/3 - 32248/24882.
429
Let q(r) = 4*r**2 - r + 1. Let v be q(2). Suppose -5*d = -v, -4*f = -3*f - 4*d + 8. Calculate the least common multiple of f and 14.
28
Let t(x) = -x**3 + 11*x**2 - 7*x - 7. Calculate the lowest common multiple of 55 and t(4).
385
Let r(y) = -y**3 - 4*y**2 + 3*y - 28. Suppose -2 = -2*c, 147 + 4 = 5*u + c. Let d = u - 20. What is the smallest common multiple of r(-6) and d?
130
What is the common denominator of -61/16 and 6 + (-275)/390*7?
624
Suppose 4*l - 4*g - 4 = -l, 4*l - 3*g = 4. Suppose 4*d = 2*d - l. Calculate the common denominator of -33/8 and ((-476)/8*d)/18.
72
Let m = 16 + -10. Let w(g) = -g**3 + 6*g**2 + 5. Let o = 19 - 13. What is the smallest common multiple of o and w(m)?
30
Let c = -6 - -8. Suppose 182 = c*w + 38. Suppose m + 3*m = w. What is the smallest common multiple of m and 12?
36
Suppose 2*r - 5*r - w = -72, -2*w = 4*r - 96. Calculate the lowest common multiple of 40 and r.
120
Let i = 34 - 29. Suppose -i*n = v - 32 + 5, -3*v + 3*n = -9. What is the least common multi