20/789. Let d = g + -1/174. What is the common denominator of d and 249/(-4)*(-22)/(-297)?
18
Suppose 20 = 4*t, r - 6*t + 3*t + 4 = 0. What is the least common multiple of r and -10*(-4)/15*3?
88
Let z be (-24)/(-15) - (-2)/5. Let k be (51 - -2) + z/1. What is the common denominator of 10/k + (-697)/22 and -29/2?
2
Suppose -12*d = -6*d - 108. Calculate the least common multiple of 6 and d.
18
Let c = 6816/35 + -330539/140. Let a = 2185 + c. What is the common denominator of 37/14 and a?
28
Let t be 4/(-8)*(0 - -26). Let r = t + 18. Let p(g) = -g + 5. Calculate the least common multiple of r and p(0).
5
Let o = -3 + 5. Suppose -10 - 80 = -5*u. What is the smallest common multiple of o and u?
18
Let d be 6/2 - (-69855)/(-50). Let g = d - -1385. Find the common denominator of -15/8 and g.
40
Suppose 4*n + 4 - 40 = 0. What is the common denominator of n/(-60)*62 - 2 and 97/6?
30
Let u(m) = -m**3 + m + 1. Let h(x) = x**3 + 8*x**2 + x + 15. Suppose 17*a + 40 = 12*a. Calculate the lowest common multiple of h(a) and u(-2).
7
Let y = 33/58 - 2825/174. Calculate the common denominator of y and 48/47.
141
Suppose 0 = -4*i + 6*i - 20. What is the common denominator of 151/6 and 434/90 + i/25?
18
Let q(y) = y**3 + 4*y**2 + y. Calculate the lowest common multiple of q(-2) and 8.
24
Let b be (4/(-10))/((-64)/(-190)). Let v be ((-3111)/(-112))/(-3) + 1. Let r = v - b. Find the common denominator of r and 1/22.
154
Suppose -15 = -3*y, -3*y + 19 = g - 16. What is the lowest common multiple of g and 20?
20
Let o = 660/133 + -41901/6916. What is the common denominator of o and -55/14?
364
Calculate the least common multiple of 49 and ((-40)/(-16))/((-3)/(-6) - 0).
245
Suppose -280 + 88 = -2*c. What is the common denominator of 69/2 and (-2)/3 + 700/c?
8
Suppose 0 = -0*x - x + 2. Calculate the smallest common multiple of x and 2.
2
What is the common denominator of ((-2)/7)/(24/70) and -2 + 2 + (-109)/22?
66
Let d(n) be the third derivative of -n**6/120 - n**5/10 + 5*n**4/24 - 5*n**3/3 - n**2. What is the least common multiple of d(-7) and 14?
28
Let b = 6 + -2. Calculate the smallest common multiple of 10 and b.
20
Let y = 27 + -22. Let h(m) = -6*m**2 + 15*m + 1. Let z(i) = 5*i**2 - 14*i - 2. Let f(v) = 6*h(v) + 7*z(v). Calculate the lowest common multiple of f(-6) and y.
20
Find the common denominator of (3/(-10))/(6/(-2)) and 27/20.
20
Let z(s) = -8*s + 2. Let w(f) = 32*f - 8. Let n(p) = -2*w(p) - 9*z(p). Find the common denominator of n(-3) and 58/7.
7
Let v(m) = m**3 + 4*m**2 - 5*m + 1. What is the common denominator of -79/2 and v(-6)?
2
Let k(z) = 16*z**3 + z. Let y be k(1). Suppose y = r + 1. Let a(s) = 11*s. Calculate the least common multiple of a(2) and r.
176
Let p = -10/3 + -7/6. Let u = 25215/14 - 1802. What is the common denominator of p and u?
14
Let k(l) = l - 4. Let m be (1/2)/((-1)/(-12)). What is the lowest common multiple of ((-1)/(-3))/(1/m) and k(12)?
8
Suppose 6*k - 4 = 14. Calculate the lowest common multiple of k and 30.
30
Let r = -11411083/9 - -1265224. Suppose 2*y = -4*p - 5340, -4*y + p - 13405 = y. Let s = y - r. Calculate the common denominator of s and 21.
9
Let z be (-3)/9 + (-2650)/(-8652). Let i = 4782997/4326 - z. Let r = 13393/12 - i. Find the common denominator of 85/12 and r.
12
Let l be (-121)/330 + (-2)/9. Let w = 0 + 1/9. Let i = w - l. Calculate the common denominator of 55/9 and i.
90
Let d be (0 - -1) + (-417)/415. Let y = 37781/3320 + d. Calculate the common denominator of y and 87/14.
56
Let c = 4 + 1. Suppose c*x - 60 + 15 = 0. What is the smallest common multiple of 11 and x?
99
Let y = 9 + -10. Calculate the common denominator of 6/24 - (y + 1) and -73/8.
8
Calculate the common denominator of (-529)/138 + 4/2 and -133/24.
24
Find the common denominator of 2/11 and (54/4)/(18/(-48)).
11
Let p(s) = -s**2 - s + 2. Let v be p(5). Find the common denominator of (-105)/10*(-18)/v and (-2)/(-7) + 277/(-14).
4
Suppose -3*w + b + 3986 = 0, 3*b + 248 = -w + 1590. Suppose 56 = 2*z - w. Calculate the common denominator of (z/30)/3 - 2 and -10/7.
70
What is the common denominator of ((-70)/(-48))/(1/3) and 1 - 3/15*-27?
40
Let j be 28/8 + 1/2. Calculate the common denominator of 115/14 and ((-3)/15)/(j/(-3)).
140
Suppose -2*r = -3*r + 16. What is the smallest common multiple of r and 2?
16
Let z = 93 - 90. Calculate the smallest common multiple of z and 8.
24
Let x(n) = -8*n**2 + n. Calculate the common denominator of (-75)/(-6) - 1/(-3) and x(-1).
6
Let l(b) = b**3 - 4*b**2 + 5*b - 4. Let m be l(3). Suppose -m*h = 3*h - 30. Calculate the least common multiple of (44/(-10))/(1/(-5)) and h.
66
Suppose -5*h = -3*b - 3, -4*h + 29 = 2*b + 9. Calculate the lowest common multiple of b and 3.
12
Let w = 1 + 0. Let x be w/(1/6*3). Suppose -3 - 5 = -x*q. What is the smallest common multiple of 20 and q?
20
Let u be (184/10)/(26/65). Suppose 5*d = -2*k - k + u, -2*d - 18 = -4*k. Calculate the lowest common multiple of k and 8.
56
Let o = -1/1555 - 99511/13995. Calculate the common denominator of o and -52/3.
9
Let h(b) = -b**2 - 4*b + 5. Let m be h(-8). What is the common denominator of (-6)/m - 988/72 and 75/8?
8
Let y(p) = p + 10. Suppose -3*j + 3*d + 3 = 2*d, -d + 3 = 0. Suppose 0 = b - 3*g - 24, 3*b - j*g = -2*b + 94. What is the lowest common multiple of b and y(12)?
198
Calculate the common denominator of (-3)/(-4) - 345/36 and 81/4 + (-2)/4.
12
Let a = 0 + 34. Calculate the smallest common multiple of 14 and a.
238
Calculate the common denominator of -1*1 - -10*25/(-120) and 59/18.
36
Let q be 4 + (0/2)/2. Calculate the common denominator of ((-64)/(-180))/(4/80) and q/(-6) - 115/(-33).
99
What is the common denominator of (-133)/(-42) - (-2 - -4) and -33/2?
6
Let y = 93 + -13. Let g be ((-1)/y)/((-168)/(-103220)). Let v = g + 3/224. What is the common denominator of v and 45/7?
21
Let q = 0 - -1. Calculate the common denominator of -85/6 and (237/18)/(0 + q).
6
Let v(n) be the second derivative of n**3/3 - 6*n**2 + 3*n. Let y be v(8). Let f(a) = 3*a + 4. What is the least common multiple of f(y) and 20?
80
Let v be (-549)/88 + (-3)/(-12). Let b = v - -21/8. What is the common denominator of (-2)/14*(0 + -10) and b?
77
Let l = 3001/2 - 1459. Let j(w) = -8*w**2 - 2*w + 3. Calculate the common denominator of l and j(2).
2
Let j(d) = d**2 + 11*d + 1. Let u be j(-8). Let r = u + 35. Calculate the common denominator of (-3)/3 + 190/r and 77/12.
12
Let i(j) = 2*j**3 - 2*j**2 - 3*j - 2. Calculate the common denominator of -33/5 and i(-2).
5
Let t(o) = 4*o - 8. Calculate the least common multiple of t(8) and 10.
120
Let o(v) = -19*v + 1. Let k be o(1). Find the common denominator of (-5)/(-15) + 91/6 and (10/k)/((-2)/39).
6
Calculate the smallest common multiple of 10 and 2 - ((-23 - -2) + -1).
120
Let t = -6 + -7. Let r = 18 + t. Suppose -r*p + 18 = -37. What is the lowest common multiple of p and 2?
22
Suppose -14*p = -18*p + 296. What is the smallest common multiple of p and 8?
296
Suppose 0 = 2*t - 5*f + 153, -432 = 5*t - 0*f + 4*f. What is the common denominator of 1/2 - (-162)/t and -5/4?
28
Let w = 2937/8 + -369. Let a = -31119/17 - -1829. Calculate the common denominator of w and a.
136
Suppose -15 = -m - 2*m. Let f = 7 + -3. Suppose -2*u - l = -6, 0 = -0*u + f*u + 3*l - 16. What is the least common multiple of m and u?
5
Let u = 20044 - 42463/2. Let t = 1222 + u. Calculate the common denominator of 47/12 and t.
12
Let p = 37871/6 + -6288. Calculate the common denominator of 67/4 and p.
12
Let w = -42847/12144 + -26/759. What is the common denominator of w and 29/8?
16
Let w be -2 - 1*(3 + -8). Calculate the lowest common multiple of 25/w - 2/6 and 5.
40
Suppose 16 = 2*k - 5*q, 3*q = 2*k + q - 10. Find the common denominator of k/(18/(-151)) + 2 and 15/2.
6
Suppose 14 = -3*l + 35. What is the lowest common multiple of 3 and l?
21
Let p(y) be the second derivative of -y**5/20 + y**4/3 - y**3/2 + y**2 - 3*y. Calculate the smallest common multiple of 7 and p(3).
14
Suppose 0 = -2*k - 1 + 7. Suppose -k*t = 1 - 7. Suppose z = -t*z + 60. What is the smallest common multiple of z and 6?
60
Let u = -8 + 18. Calculate the lowest common multiple of 9/(4 + 2 + -5) and u.
90
Let m(a) = 1 - 5 - 596*a - 303*a. Let f be m(4). Let g = 14303