2*z. What is the least common multiple of 12 and z?
12
Suppose y - 35 = -5*i, -45 = -5*i + 2*y - y. What is the lowest common multiple of 160 and i?
160
Find the common denominator of 23/14 and (-11 + (-3050)/(-160))*2/3.
56
Let j = 7527847/238 - 31630. Find the common denominator of 83/2 and j.
238
Let k(x) = 2*x**2 - 12. Let n be k(-6). Let u be -2*162/(-128)*n. Let i = -8185/56 + u. Find the common denominator of i and -73/4.
28
Suppose 0 = 68*r - 69*r + 36. Suppose -r = -75*v + 69*v. What is the least common multiple of 20 and v?
60
Find the common denominator of (149*(-3)/45)/(192/30) and -103/108.
864
Find the common denominator of (-1450)/240 - (-1 - 0) and -89/42.
168
Let d = -17 - -27. Suppose -3 + 59 = 7*q. Suppose 23*g - 21*g = q. What is the smallest common multiple of d and g?
20
Let f(q) = -q**2 + 6*q + 1. Let x = 193 + -191. Suppose x*b - 2*p + 8 = 24, 4*p - 23 = -b. What is the lowest common multiple of f(5) and b?
66
Let m = 6269/518 - -20/37. Let v = m - 760/77. Find the common denominator of 155/12 + 3/12 and v.
66
Suppose j = -2*g - g - 3454, -2*j - 6863 = -3*g. Let m = 41315/12 + j. What is the common denominator of m and 1/20?
60
Suppose 31*z + 6720 = 45*z. What is the least common multiple of 8 and z?
480
What is the common denominator of (47/235)/((-2468)/510) and -91/8?
4936
Let k(t) = -37*t + 1. Let i be k(-5). Calculate the common denominator of (74/3)/(28/(-21)) and (-12)/6 + i/4.
2
Let j = -1458 - -1463. Calculate the least common multiple of j and 52.
260
Let i = 6638 + -53195/8. Find the common denominator of i and ((-47)/188)/(0 + 2/(-376)).
8
Let j(a) = a**2 - 2. Suppose 0 = -5*r - 5*u, 3*r = -0*r + 4*u + 21. Suppose 0 = n - r + 5. Calculate the least common multiple of j(n) and 8.
8
Let d = 10 - 11. Suppose 0 = 6*j - 5*j - 10. What is the lowest common multiple of j and (-3 - (-6 + d)) + 4?
40
Let k = 16414/99 - 1770/11. What is the common denominator of k and 9/188?
1692
Calculate the common denominator of 123/20 and (-12864)/127872 - (0 - 0).
6660
Suppose -14*v - 11*v + 200 = 0. What is the least common multiple of v and 20?
40
Let h be 20/7*56/16. Let z = -7 + h. Suppose -z*k + 54 = -j - 13, 2*j = -3*k + 82. Calculate the least common multiple of k and 11.
264
Let f = -8822/943 + 232/23. Find the common denominator of f and -67/164.
164
Suppose 9 = -4*c + 5*c. Suppose c = 2*j - 1, 0 = -4*v + 5*j - 1. Suppose v = n - 5*a + 22, 16 = 2*n + 2*a. Calculate the lowest common multiple of n and 8.
8
Let q(d) = d**3 - 5*d**2 + 5*d - 5. Let y be q(3). Let t = 3 - y. Let p = -5 + 10. Calculate the lowest common multiple of p and t.
55
Calculate the common denominator of (-1 + 100)/(-8 - (-10 - -18)) and 65/184.
368
Let x(l) = -l**2 + l. Let n(p) = -4*p**2 + p + 1. Let t(a) = -n(a) + 2*x(a). Calculate the least common multiple of 32 and t(3).
160
Let u(x) = -5*x - 54. Calculate the least common multiple of 8/3*(-9 + 15) and u(-14).
16
Let f = 4872811/44 - 110760. Let r = f + -60/11. What is the common denominator of -25/8 and r?
8
Let u(v) = 5*v**2 + 2*v. Let g be ((-12)/(-4) + -4)*-3. What is the lowest common multiple of u(g) and 30?
510
Let s = -7027/40 + 899/5. What is the common denominator of (-569)/(-234) - (-44)/(-286) and s?
72
Suppose -4*t - 2*n + 22 = 0, -3*t - 2*n + 24 = n. Let c = 3/4 - -1/8. Calculate the common denominator of 33/(-9) + t/(-18) and c.
24
Find the common denominator of 10/12 + (-9350)/816 and 79/12.
24
Let n be 54/4*12/18. Suppose -4*b - 3*v = -12 - n, v = -4*b + 31. Calculate the lowest common multiple of 3 and b.
9
Suppose -2*a - 10 = -14. Suppose -5*t = 25, a*j - 3*j + 37 = -2*t. What is the lowest common multiple of 12 and j?
108
Suppose j + 11 = c + 2, 5*c + 4*j - 27 = 0. Suppose 96 = c*a + a. What is the smallest common multiple of a and 18?
36
Let d be (4414/156)/(49/(-14)). Let p = d - -98/39. Find the common denominator of 6/(-8)*(-300)/(-54) and p.
42
Let m be 5/(-890)*4387/(-2). Let d = -38/89 - m. Let i = -6353/8 + 796. What is the common denominator of d and i?
8
Let u = -501 + 528. Calculate the least common multiple of u and 177.
1593
Suppose 29 = 2*q + 9. Calculate the smallest common multiple of q and 25/1 + 0 - (34 - 29).
20
Suppose -108 = -2*j + 4*u, -3*j - 17*u + 189 = -14*u. Let h = 24 - 12. What is the smallest common multiple of h and j?
60
Let a be (-2 - (-222)/(-15))/((-1)/(-10)). Let h = 342 + a. Calculate the least common multiple of 10 and h.
870
Suppose -3*y - 12 = -3*n - 3, -4*y = 3*n - 23. Let j(f) = -f + 2*f - y*f + 5*f + 2. Calculate the lowest common multiple of 8 and j(3).
56
Let s = -38 + 46. Let c(o) = -o + 12. What is the smallest common multiple of 24 and c(s)?
24
Suppose 0 = -5*g + 10, -4*l - 2*g + 12 + 8 = 0. Suppose p = 4*x - p - 6, 3 = p. What is the lowest common multiple of (-2 + -3 + x)*(1 - 2) and l?
4
Let s be 6/8 + (-1452)/(-48). Suppose 2*o = -i + 19, 0 = 3*i - 7*i + o + s. Calculate the lowest common multiple of 7 and i.
63
Let a(v) = -v + 6. Let t be a(5). Let o(l) = 5*l**2 - 5*l + 6. Calculate the lowest common multiple of 2 and o(t).
6
Suppose -9 = -2*l - 3*g, l - 5*g + 2 = -0*l. Suppose q - 2*q + 5*j - l = 0, j + 1 = q. What is the lowest common multiple of 1 and q?
2
Let f be 1/(0 + -1) + 7. Suppose -3*i - f = -42. What is the least common multiple of i and (-2 + 16/(-12))/(1/(-6))?
60
Find the common denominator of (-29)/(-15) + 2/(-10) and (-7)/(-14)*(50/21)/5.
105
Let r(u) = 109*u. Let q be r(-1). Let k = -85 - q. Calculate the smallest common multiple of k and 16.
48
Let w(k) = k**2 - 3*k - 6. Let u be 0*(-1)/2 + 7. Suppose 0 = -a + 5*a - 4*r - 96, -a = -5*r - 40. Calculate the lowest common multiple of a and w(u).
220
Suppose -j + 29 = 3*c - 126, 3*c - 2*j = 140. What is the lowest common multiple of c and 30?
150
Let b be (-25)/154*(-16)/90. Let a = b - 35663/11088. Let h = -11/593 + -57367/8302. What is the common denominator of a and h?
112
Suppose 0 = 225*i - 236*i + 176. Calculate the lowest common multiple of i and 16.
16
Let s(u) = u**2 - 7*u + 1. Let x be s(7). Suppose -3*p - 5*z = x, -5*z - 9 - 7 = -2*p. Let d(j) = j**2 + j - 4. What is the least common multiple of d(p) and 6?
24
Suppose -2*a + 2 + 2 = 0. Suppose 0 = a*x - x + 2547. Let t = 10121/4 + x. Find the common denominator of t and -26/7.
28
Let m(b) = -b**3 - 13*b**2 + 11*b - 34. Suppose -20 = 2*q - 2*o, -3*q + 7*q = 3*o - 44. Calculate the lowest common multiple of m(q) and 8.
8
Let q = -3337 + 4832. Let w = q + -7447/5. Calculate the common denominator of -89/16 and w.
80
Find the common denominator of 14/8*14/(-5) and (-21)/10*15/6.
20
Find the common denominator of 235/36*-1*27/(-360) and -131/96.
96
Suppose -3*s + 24 = 9. What is the lowest common multiple of ((-2)/6)/(4/(-24)) and s + -3 + 2 + 2?
6
Let n(w) = -w**3 + 14*w**2 + 80*w - 45. What is the least common multiple of 72 and n(18)?
792
Let i = -47 + 43. What is the smallest common multiple of 4 and -2*(-3 + (-1 - i) - 1)?
4
Let m be 322399/(-20) - 1/2. Let n = m - -16116. Calculate the common denominator of -1/22 and n.
220
Suppose 2*o - 11 = -2*o - f, 2*o = -4*f - 12. Suppose n = -o*n. What is the common denominator of 27/8 and (-395)/50 - n/2?
40
Let g = -1194 + 1695. What is the lowest common multiple of g and 3?
501
Let l(b) = 3*b**3 + 41*b**2 - 14*b + 12. Calculate the least common multiple of l(-14) and 72.
72
Suppose 3*b - 49 + 7 = 0. Let p = -7 - -34. Let a = p + -15. Calculate the smallest common multiple of a and b.
84
Suppose -40 = 21*x - 25*x. Calculate the lowest common multiple of (-130)/(-6) - 2/(-6) and x.
110
Let x(p) = 36*p**2 - p - 1. Let l(g) = -g**2 + 9*g + 14. Let z be l(10). Suppose -2 - 2 = z*v. Calculate the least common multiple of x(v) and 12.
36
Let g = -117011/36 - -3248. Find the common denominator of 3/68 and g.
612
Suppose -4*x + 41 = -n + 4*n, -n = -3*x + 8. What is the lowest common multiple of n and 31/3 - 9/27?
70
Calculate the common denominator of -1/42 and (-339)/54 + (-2)/6.
126
Let l = -21 + 33. Suppose 3*p + 2*g - 10 = 0, p - 3*g + 3 = -1. Calculate the least common multiple of p + 6/(-3) + 6 and l.
12
Suppose 46 = -4*r + m + 14, -3*m = 2*r + 16. Find the common denominator of -145/6 and (-3)/r*-29*(-7)/(-21).
24
What is the common denominator of 18/48 +