d and v.
8
Suppose 3 = -4*o - 37. Let w = o + 12. Suppose 3*k = -w*k + 50. What is the lowest common multiple of k and 8?
40
Let j(a) = 13 - 2*a**2 + 9*a - a**3 + 0*a**3 + 0*a**3. Let q be j(-7). What is the common denominator of (104/q)/(1/9) and 29/5?
5
Calculate the lowest common multiple of 20 and ((-1)/(-2))/(138/828).
60
Let q(j) = j**3 + 10*j**2 - 14*j + 25. What is the lowest common multiple of 35 and q(-10)?
1155
Let c = 6/25045 + -3106942/5685215. Let w = 22263/4540 - c. Find the common denominator of w and -93/2.
20
Find the common denominator of -31/252 and ((-166)/(-44))/(195/(-130)).
2772
Let n = -4325/8 + 537. Suppose -2*m - 58 = -4*z, -4*z - m = 2*m - 63. Calculate the common denominator of n and (86/(-3))/((-10)/z).
8
Calculate the smallest common multiple of 10 and ((-66)/(-8))/((-42)/(-8) + -5).
330
Let f be (-8)/32 - 3141/(-4). Let y = f - 60. Let k = y + -7956/11. Calculate the common denominator of 70/3 and k.
33
Suppose k + 33 = d, 42 = 3*k + 4*d + 141. Suppose 4*c = 2*c + 44. Calculate the smallest common multiple of 0 - (-11)/(k/(-54)) and c.
198
Calculate the common denominator of (15/(-81))/(532/(-210)) and -41/8.
1368
Let d be ((-49)/(-28) + -1)/(6/25073). Let t = -979 - 2160. Let h = d + t. What is the common denominator of h and -36/11?
88
Let l be (-420)/(-9) - 2/3. Suppose 10 = 2*q - l. Calculate the least common multiple of 4 and q.
28
Let r = 296 + -290. Calculate the least common multiple of 30 and r.
30
Suppose -36 = 7*m - 9*m. Suppose 0 = -2*v + 18 + m. Calculate the lowest common multiple of 3 and v.
18
Let v = -10328/217 + 295/7. Let z = 516941/36208 - 2123/146. Let q = z - v. Calculate the common denominator of q and -41/20.
80
Let i = -284 + 3485. Let n be (2/13 - (-7881327)/2457)/1. Let q = i - n. Find the common denominator of q and -41/20.
140
Let j = -20 + 21. Find the common denominator of -27/5 and 3 - j - (-84)/(-16).
20
Let b(g) = -6*g + 17. Let j be b(6). Let v = j + 21. Find the common denominator of (v - (-98)/(-24)) + -3 and 29/12.
12
Let b be 8/12*(-10662)/(-16). Let v = b - 438. What is the common denominator of 20/11 and v?
44
Let m(l) = 17*l + 14. Let o be m(3). Suppose -o = -2*z + 27. What is the common denominator of 13 and z?
1
Let z(q) = q**2 - 23*q + 72. What is the least common multiple of z(20) and 108?
108
Let x(s) = -s**3 - 6*s**2 - 4*s + 1. Let f be x(-5). Calculate the lowest common multiple of (24/54)/(f/(-18)) and 18.
18
Calculate the common denominator of -1*4 + ((-3290)/(-260))/7 and 101/10.
130
What is the common denominator of -3*(0/1 - (-4753)/(-294)) and 0 + (-1)/(80/(-34))?
40
Suppose 0 = 2*c + 2*o - 8, 4*o = 5*c - 53 + 15. Let u be 210*((-56)/c)/4. What is the common denominator of ((-57)/190)/(48/u) and 109/12?
48
Let u be (-175)/14*(-4)/5. Suppose 0*k + 5*k = u. Suppose 0 = -6*z + z + 15. Calculate the smallest common multiple of k and z.
6
Suppose 3*y - 9 = -f, 10 = 3*y + 4. Suppose f*w + 29 = 2*k, -k + 2*w + 23 = 8. Let j(x) = x - 5. What is the least common multiple of 3 and j(k)?
24
Suppose -5*x - 11 = -56. What is the common denominator of 22/4 - (-3 + 1) and (-85)/30 - x/3?
6
Suppose -4*o = 4*x + 34360, -2*o = 3*x - o + 25780. Let n = -292159/34 - x. Find the common denominator of 89/10 and n.
170
Suppose 5*l = 3 + 17. Let o(h) = -h**3 + 3*h**2 + 5*h - 3. Let i be o(l). Suppose p - 1 = i. Calculate the lowest common multiple of p and 2.
2
Let r(c) = -c**3 - 3*c**2. Suppose 0 = -3*b + 7*b + 24. Calculate the lowest common multiple of b/21 + (-142)/(-7) and r(-4).
80
Suppose 0 = -0*v + 4*v - 4. Let a = 834 + -824. What is the lowest common multiple of (v - -2)*(3 + 0) and a?
90
Find the common denominator of 5/54 and ((-1015)/(-1218))/(2*1/29).
108
Let y = -30099/62776 + -3/1121. Calculate the common denominator of y and 17/80.
560
Suppose 0 = 6*x - x. Let o be -4 + 35 + x + -4. Let u = o + -25. Calculate the least common multiple of 3 and u.
6
Let x = -820579/210 - -19517/5. What is the common denominator of x and 11/10?
210
Let j(k) = 2*k - 6. Let c = 22 + -25. Let q(t) = t**2 + 2*t - 1. Calculate the least common multiple of q(c) and j(10).
14
Let w be 12/(-10)*60/3. What is the common denominator of 31/12 and (30/w*6)/1?
12
Let b = 447086307 - 48286927235/108. Let c = b - -14871. What is the common denominator of c and -55/2?
108
Let n = 31181/20 + -7831/5. Let l = n - -933/220. Find the common denominator of 41/3 and l.
33
Calculate the common denominator of (-220)/(-24)*(-3)/(-10) and 1 - (-3 - 212/(-64)).
16
Let h(j) = -j + 3. Let a be h(1). Suppose -15 = -5*i - d - 0*d, 5*i + a*d - 20 = 0. Suppose -i*s + 18 = -s. What is the smallest common multiple of 14 and s?
126
Suppose 13*x - 18*x + 5475 = 0. Let u = -19729/18 + x. Calculate the common denominator of u and -49/2.
18
Calculate the least common multiple of 728/40 + (-3)/15 and 12.
36
Calculate the common denominator of -4/9 and 145/(-27)*46/(-230).
27
Let m(h) = -h. Let d be m(6). Let c be 6*((-3)/d - 0). Suppose -c + 19 = -p. Find the common denominator of p and -83/8.
8
Let d(x) = x - 1. Let v be d(0). Let a(q) = -15*q - 1. Let z be a(v). Let c = z + 0. Calculate the lowest common multiple of 18 and c.
126
Let l = -173 - -206. What is the smallest common multiple of l and 27?
297
Suppose -25*j = -20*j - 25. What is the lowest common multiple of 40 and j?
40
Let r(q) = -q**3 - 29*q**2 - 31*q - 69. What is the smallest common multiple of 90 and r(-28)?
90
Suppose -7 = -2*d + d. Suppose 8*j - 200 = -48. Suppose 3*s = j + 5. Calculate the least common multiple of s and d.
56
What is the common denominator of -2/15 and (2/(-25))/(384/17120)?
30
Suppose 0 = -2*c + 6*c - 7044. What is the common denominator of -41/6 and 4/10 + c/(-90)?
6
Calculate the common denominator of (-8 - (-2589)/210)/3 and 48/25.
350
Let j = -1/17231 + 2050579/1550790. What is the common denominator of j and 131/30?
90
Let x be (-6)/9*(-30)/(-2). Let j be (5/x)/((-2)/12). Let a = -1 + j. Calculate the lowest common multiple of a and 14.
14
Let l = 489 - 72. Suppose -4*s = -s - l. Let o = s - 269/2. Calculate the common denominator of -5/18 and o.
18
Suppose -45*i = 11*i - 560. Let r = 76 + -36. Calculate the least common multiple of r and i.
40
Suppose 4*z + 5*u - 165 = 0, 2*z + u = -3*u + 84. Suppose l + z = 5*l. Let t = -25 + 43. What is the lowest common multiple of t and l?
90
Let n(l) = 3*l**2 + 19*l + 13. Let z = -5 + -2. Calculate the lowest common multiple of n(z) and 24.
216
What is the least common multiple of 8 and (1248/20)/((-12)/(-40))?
208
Let g(n) = -11*n**3 - 3*n + 4. Let d be g(1). Let t be 1/(-3) + 35098/(-6). Find the common denominator of -17/10 and (1/d)/((-108)/t).
60
Suppose 0 = -4*k + 2*b - b + 17, -5*b = -3*k + 17. Let z = -1027 - -6085/6. Find the common denominator of z and (42/(-35))/(k/14).
30
Let y = -6571/60 - -335/3. What is the common denominator of -47/68 and y?
340
Let b(y) = -y**3 - 7*y**2 - 9*y + 4. Let s be b(-5). Let u be 9/((-162)/(-21928)) - s. Let q = 1218 - u. Find the common denominator of q and 97/4.
36
Let x(f) = f**2 - 28. Let w be x(6). Suppose 80 = 4*c + w. What is the lowest common multiple of c and 12?
36
Suppose 2*n = -3*q - 21, 4*n + 10*q = 5*q - 39. Find the common denominator of (-194)/n*10/(-60) and 35/18.
18
Suppose -56*q - 105 = -71*q. Suppose -3*t + 68 = -97. Calculate the least common multiple of t and q.
385
Let f(k) = 14*k + 90. Calculate the lowest common multiple of f(-6) and 442.
1326
Let m(p) = -4*p**3 - 3*p**2 - 3*p. Let x be m(-2). Let q = -4 + x. What is the least common multiple of ((-32)/(-10))/(69/(-15) + 5) and q?
88
Let v be -1 + -4 + 10 - -2. Suppose -5*i - 21 = -i + 5*c, 2*i = c + v. Let y = 7 - 1. Calculate the least common multiple of y and i.
6
Let g be 4/12 + (-3140)/(-3). Let b = -2045/2 + g. Calculate the common denominator of b and -35/2.
2
Let z be (-5)/7 + (-2)/7. Let g = z - -4. What is the lowest common multiple of g and 4?
12
Let k(z) be the first derivative of 2*z**2 + 8*z + 7. Calculate the smallest common multiple of 22 and k(3).
220
Calculate the smallest common multiple of 5 and ((-8)/(-6))/((-176)/(-20460)).
155
Let p = 35048091/1303 + -26898. Let n = -9288953980 - -266277154820583/28666. Let o = n - p. Find the common denominator o