f(a) = a**3 + 4*a**2 - a. Calculate the least common multiple of u and f(-4).
12
Find the common denominator of -51/4 and (-50)/96 + 6/(-24).
48
Let g(f) = 2*f**2 - 2*f + 4. Let z be g(3). Calculate the least common multiple of -16*(2 + (-52)/z) and 6.
60
Let h = 58 + -54. Suppose 4*o - 42 = 5*p, 48 = 5*o - 3*p - p. Calculate the smallest common multiple of o and h.
8
Suppose 3*i = -4*o + o + 42, -3*o - 5*i + 42 = 0. Let w = -6 - -10. Let a = 18 - w. What is the lowest common multiple of a and o?
14
Let f = 8838 + -16709/2. Let o = f - 1496/3. What is the common denominator of o and 536/(-36)*(-12)/(-16)?
6
Let t = -402 + 1979/5. Let q(y) be the second derivative of 23*y**3/3 - y**2/2 - 2*y. What is the common denominator of t and q(-1)?
5
Suppose -4*r = -7*r + 6. Suppose 0 = 2*c + 4*x - 25 + 1, 0 = 4*c + 3*x - 33. What is the lowest common multiple of c and r?
6
What is the common denominator of 29/4 and (-9)/12 - 139/20?
20
Let x be 3/(-1320)*31645/42. Let n = x + -1/528. Let a = 505/7 - 80. What is the common denominator of a and n?
7
Let f be ((-3)/3)/((-2)/4). Let v(i) = i**3 - i**2 + 3*i - 2. Calculate the smallest common multiple of 2 and v(f).
8
Suppose 4*z = -0*z + 16. Calculate the lowest common multiple of 14 and z.
28
Let s be ((-9)/(-15))/(1/15). Suppose -11 = -4*f - g, -3*f - 2*g - 2 = -s. What is the least common multiple of 10 and (f/2)/(24/256)?
80
Suppose -3*g = -g - 2*m + 96, -2*g = -3*m + 96. Let c = 26 - g. What is the common denominator of 65/18 and (-9)/(-6)*c/(-6)?
18
Let s(f) = -2*f + 3. Suppose -u = -2*h - 8 - 4, -2*h - 6 = 2*u. Calculate the least common multiple of s(-3) and u.
18
What is the common denominator of -47/3 and 360/(-81)*2/5?
9
What is the common denominator of ((-3)/6*-141)/(-15) and -99/16?
80
Let m(h) = 9*h + 2. Let a be m(6). Find the common denominator of 870/224 - (-24)/a and -143/6.
48
Let d = 5049/5 + -1021. Find the common denominator of 123/10 and d.
10
Let o = 13420/1257 + -4/419. Let f be (2/12)/((-160)/(-39)). Let q = f - -1491/320. Calculate the common denominator of q and o.
30
Let q(r) = r + 11. Let g(c) = -c**2 + 2*c + 4. Let k be g(5). Let w be k/(0/(-2) + -1). Calculate the lowest common multiple of q(w) and 16.
176
Suppose -k - 60 = -4*k. Suppose -2*v + 8 = 2*v. Suppose v*i = -2*i + k. Calculate the least common multiple of i and 4.
20
Let x(c) = 12*c**2 + 2*c + 1. Calculate the lowest common multiple of x(-1) and 2.
22
Suppose 4*j + 5*a + 38 = 3*j, -5*j = a + 166. Let t = -17 - j. Suppose 0 = -2*y + g - 17 + 41, 0 = 3*y - 5*g - 22. What is the least common multiple of y and t?
112
Let p be (4588/1145)/(-1) + 4. Let a = 115597/6870 - p. Calculate the common denominator of a and 101/16.
48
Let f = 22707/8 + -2842. Find the common denominator of f and (-81)/5 - (-21 - -15).
40
Let d = 3 - -7. Calculate the smallest common multiple of 6 and d.
30
Suppose 13 = -a - 5*f + 42, a - 4*f - 2 = 0. Suppose -12 = 3*v - 2*n - 33, -2*v + 4*n = -a. What is the least common multiple of v and 10?
70
Let y(d) = d + 3. Let v = 22 - 14. What is the lowest common multiple of y(19) and v?
88
Let o = 2 - 7. Calculate the least common multiple of 2 and 10/3*(-6)/o.
4
Suppose 40 = -p + 5*p. Calculate the least common multiple of 10 and p.
10
Calculate the common denominator of -55/32 and (54/(-40))/9*37.
160
Let u be -2*(-3 + 0 - -2). Calculate the common denominator of u/(-8)*37*2 and 1/((-5)/(-38)) + (19 - 19).
10
Calculate the smallest common multiple of 22 and ((-33)/42 - 8/(-28))*-8.
44
Suppose -2*p + 3*w + 5 = 0, 8 = 3*p - w - 17. Find the common denominator of 71/3 and p.
3
Suppose 0*i - i = r - 4, -3*i = 2*r - 16. Let t be -2*(2/(-4) - -1). What is the lowest common multiple of i and (t/2)/((-1)/12)?
24
Suppose -5*g - w = -4*w, -3*g = w. Suppose -56 = -4*r - g*r. Calculate the common denominator of -63/22 and 2 + (-33)/r - 3.
154
Let a = -273/37 - -3869/740. Find the common denominator of 298/40 + (2 - 4) and a.
20
Let l = -12351/14 - -885. Calculate the common denominator of 5/22 and l.
154
Find the common denominator of -1 + (-2 - 588/(-80)) and -29/36.
180
Calculate the common denominator of -103/28 and (-78)/(-16) - (0 + 2/(-4)).
56
What is the common denominator of -35/22 and (-183)/(-15) + -3*5/30?
110
Let o = -3958 + 39519/10. Find the common denominator of o and 41/4.
20
Let t = 1 + 5. Let b = 26 - 18. Calculate the smallest common multiple of b and t.
24
Let b = 73 + -51. Let u(r) = r**2 - 3*r - 1. Let h be u(5). Suppose d = q - 0*q + 17, h = 3*q. Calculate the smallest common multiple of b and d.
220
Suppose -5*v + 12 = -4*v. Let z be 3 - 2/(v/(-250)). Let t = -41 + z. What is the common denominator of -51/5 and t?
15
Let m = -1416/55 - -126/5. Calculate the common denominator of 118/66 + 2/(-6) and m.
11
Let b = 14 + -10. Let c = 18 - b. Calculate the smallest common multiple of c and 2.
14
What is the least common multiple of 30*(-2)/(24/(-4)) and 7?
70
Suppose 0 = 5*m + 15, 5*m = -2*l + 2*m + 11. What is the smallest common multiple of 6 and l?
30
Let v(t) = -t**3 + 6*t**2 + 6*t + 10. Let i be v(7). Suppose -i*b - 2*b = -25. What is the smallest common multiple of b and 6/5 + (-2)/10?
5
Suppose 0 = -m + 5 - 3. Suppose 5*i - 20 = i. Suppose i*f - 4*b - 25 = 0, 10 = 2*f - 2*b + b. What is the smallest common multiple of f and m?
10
Let m = 928865 + -5606795/6. Let f = -5613 - m. What is the common denominator of f and 81/10?
30
Find the common denominator of 37/8 and (-10)/55 - (-1)/11.
88
What is the smallest common multiple of 12 and (3/(-1))/(6/(-20))?
60
Suppose m - 19 = -2*v, 0 = -v - 4*m - 10 + 30. Suppose 0*w = -w + 10. Calculate the least common multiple of v and w.
40
Let i = 4 - 2. Let f = -2 + i. What is the lowest common multiple of (0 - -2)*1 - f and 11?
22
Let a = -6467/40 - -1305/8. What is the common denominator of 143/6 and a?
60
Suppose 6*j - 20 = 2*j. Let c = 3 + j. What is the smallest common multiple of c and 6?
24
Suppose -4*y + 25 = -y + 2*v, 3*v - 40 = -5*y. Let i = -12 + 22. What is the lowest common multiple of y and i?
10
Let g be 10426/6 - (-13 + 14). Let j = -83651/48 + g. Calculate the common denominator of j and 3/8*52/6.
16
Suppose 2 = -0*p + p. Calculate the smallest common multiple of p and 10.
10
Let q be (-2)/(-9) + 92/(-9). Let n = -6 - q. Calculate the lowest common multiple of 16 and n.
16
Suppose -n + 3*n - 36 = 0. Calculate the smallest common multiple of n and 18.
18
Suppose 0 = -c + 26 - 8. Calculate the least common multiple of 8 and c.
72
Let n be (-4)/8*-4*53. Calculate the common denominator of n/(-6) - (-1)/2 and -15/2.
6
Suppose q - 5*q = -12. Suppose q = 3*p + 4*f - 75, 3*p - 75 = -3*f. Let u = p - 16. What is the smallest common multiple of 20 and u?
60
Calculate the common denominator of (-79)/(-14)*-1 + -2 and (-2)/8 - (3 - -6).
28
What is the common denominator of -35/2 and ((-4)/((-12)/(-201)))/(-9)?
18
Let p be (-43)/(-9) - 2/(-9). Suppose p*a - 11 - 99 = 0. What is the least common multiple of 12 and a?
132
Suppose -l - 3*k + 25 = 0, l + 5*k - 79 = -3*l. Calculate the least common multiple of l and 7.
112
Let n be -6*(3 - 1) - -1. Find the common denominator of (107/(-55))/((-4)/(-10)) and (2/n)/((-16)/(-12)).
22
Let r(l) = l + 4. Let m be r(-4). Suppose 3*d - 8*d + 5 = m. What is the least common multiple of d and 2?
2
Let r = 2367 - 47359/20. Let j = -6663/81381440 + -1/21056. Let h = j + 8735/773. What is the common denominator of r and h?
20
Let n = 1728 + -3541/2. What is the common denominator of -23/10 and n?
10
Calculate the common denominator of 14/(-4)*7 - -1 and (-2)/2 - 78/(-8).
4
Let j = -9 - -25. Let c = 12 - 6. Calculate the smallest common multiple of c and j.
48
Suppose -w - 24 = 4*j + 3*w, 0 = 4*j - 4*w - 8. Let n(g) = 3*g**2 + 2*g. Calculate the least common multiple of 12 and n(j).
24
Suppose 5*b - 44 + 14 = 0. Suppose -3*a + b*a = -27. What is the common denominator of ((-102)/(-4) - -2)*1 and a?
2
What is the common denominator of 1212/(-56)*(-2)/(-12) and -109/10?
140
Let t = 219 - 1195/6. Calculate the common denominator of -11/8 and t.
24
Let l be (138/(-9))/((-3)/2043). Let x = l + -188101/18. Calculate the common denominator of x and 61/6.
18
Let t = 20113/6 - 3343. Let g = 2456/525 + -2/175. Calculate