88
Suppose 2*r = l + 3*r - 49, -3*r + 102 = 2*l. Calculate the least common multiple of l and 50.
450
Suppose 0 = 3*b - 291 - 57. Let i = -40/283 + 88133/849. Let o = b - i. What is the common denominator of o and 69/10?
30
Suppose -4*q = 2*f, 5*q = 11 + 4. Let n(a) = a**2 + 6*a - 3. Let s be n(f). What is the least common multiple of (8 + s)*16/10 and 14?
56
Let k(v) = -v - 4. Let g be k(-6). Suppose 3*q = r + 9, 5*q + 18 = -g*r + 44. What is the least common multiple of q and 10?
20
Let n(q) = 3 - 7*q + 0*q - q**2 + 2*q**2. Let v be n(7). Suppose 34 = 2*j - v*r, -5*j = r - 62 - 40. What is the least common multiple of j and 16?
80
Let a(v) = -v**2 - 2*v. Let t be a(-2). Calculate the common denominator of (67 - t)*(-1)/9 and -39/5.
45
Suppose 0 = 3*i - 2*a + 3 + 52, i + 2*a = -5. Let g = -8 - i. Suppose -4*v + g = -5*r, -3*v = 3*r - 14 - 25. Calculate the common denominator of 49/4 and v.
4
Find the common denominator of ((-75)/20)/5*(-20)/(-2) and 99/8.
8
Let z be 6 - 2 - (-275298)/72. Let p = z - 3831. Find the common denominator of p and ((-14)/72)/((-2)/52).
36
Let z = -16652 + 300097/18. Let s = -47/9 + z. What is the common denominator of s and 101/20?
60
Suppose -5 + 17 = s. Find the common denominator of 10/200*(-1010)/s and -131/6.
24
Let l(x) = -3*x. Calculate the least common multiple of l(-3) and 3.
9
Let n = -5 - -3. Let r be 3 + (-1)/((-1)/n). Calculate the least common multiple of r/(1 + 12/(-14)) and 7.
7
Suppose 8*b - 16 = 4*b. Let l be b/(-22) - (-7780)/(-44). Let o = l + 1773/10. Find the common denominator of 53/10 and o.
10
Let a be -4 - -3 - 2*-11. Suppose -4*h + 9 - a = -2*u, 0 = 2*u + 4. Calculate the common denominator of (2/(-18))/(h/(-38)) and -85/16.
144
Let h(t) = -t**2 + 12*t + 5. Calculate the common denominator of -47 and h(9).
1
Let g be (-2)/(4/(-10)) + -2. Suppose -g*n + 21 = 3*r, -16 = -4*r + n - 3. Calculate the common denominator of ((-9)/8)/(1/r) and -3/8.
8
Suppose o = 2*x + 3*o + 10, -4*o = -5*x + 20. Suppose 2*n - 2 - 2 = x. What is the lowest common multiple of n and 20?
20
Suppose 3*j + 2*c - c = 21, 2*c - 34 = -5*j. Calculate the lowest common multiple of j and 14.
56
Suppose -2*r - 8 = -3*r. What is the least common multiple of 8 and r?
8
Suppose 6*q - 53 = 73. Calculate the least common multiple of q and 18.
126
Suppose 6 - 15 = 3*a, 0 = 3*m + 5*a - 3. What is the lowest common multiple of m and 22?
66
Let r(l) = 2*l - 5. Let w be r(4). Suppose 0*k - 9 = w*k. Let n = k + 5. What is the lowest common multiple of n and 10?
10
Let p = 15891/7658 + -2/547. Calculate the common denominator of 13/6 and p.
42
Suppose -s = 2*s. Suppose s*u - 10 = -u. Calculate the least common multiple of u and 18.
90
Let a = -4 - -27. Let r = -53 + a. Calculate the common denominator of (-46)/r + (-8)/(-12) and -23/8.
40
Let y be -1 - (-675958)/1932*-254. Let c = 533189/6 + y. Let k = -13/23 - c. Calculate the common denominator of k and -101/22.
154
Let r = 2707/4 + -684. Calculate the common denominator of r and -89/12.
12
Let s(h) = h**2 - h - 2. Suppose -3*j - 12 = j. Calculate the lowest common multiple of s(j) and 10.
10
Suppose m - 3*m + 14 = 0. Suppose 41 = 4*c + 9. Calculate the lowest common multiple of 312/14 + (-2)/m and c.
88
What is the common denominator of 610/168 + 22/77 and -37/20?
60
Let o(r) = -1 - 4*r - 3*r**2 - 2*r**3 - r**3 - 1 - 1. What is the common denominator of o(-2) and -26/7?
7
Let v = -8068/525 + 6/175. Let b = 1/307286828 + -14442019987601/566329624004. Let u = b + 2/1843. Calculate the common denominator of v and u.
6
Let r = -154 + 277. Suppose r = 7*n - 4*n. Suppose 2*d - 3 = n. Calculate the least common multiple of 12 and d.
132
What is the smallest common multiple of (-369)/(-21) + 1 + (-8)/14 and 24?
72
Suppose -w = 4*w - 25. Suppose 2*k + 39 = w*k. Find the common denominator of (-2)/(2 - 6)*k and -63/8.
8
Let q = 0 + 22. What is the least common multiple of q and 52?
572
Let v(l) = -l**3 - 12*l**2 - 10*l - 1. Let n be v(-11). Let r = -5/186 + -3839/186. What is the common denominator of n*(32/6)/(-4) and r?
3
Let t = -98 + 101. Calculate the smallest common multiple of t and 1.
3
Let y = -14 - -8. Let k be y/(-8) + (-3)/(-12). Calculate the common denominator of k/(-30)*159/(-2) and 93/20.
20
Suppose -2*f - 3*h = 3*f + 35, -4*f = -5*h + 65. Let k = f + 20. Calculate the smallest common multiple of k and 4.
20
Let w = 905 - 3595/4. What is the common denominator of w and 85/12?
12
Let y = 6 - -19. Calculate the common denominator of 2/(-8) + y/(-8) and (-7)/(-9) + (0 - -2).
72
Let c = 203299564257/26314030 - -12/2631403. Let l = c - 7735. Calculate the common denominator of -67/3 and l.
30
Let h = -209 + 343/2. Calculate the common denominator of (-2)/8 - (-370)/24 and h.
6
Suppose 69 = 7*d - 1. Calculate the lowest common multiple of 1 and d.
10
Let g = -27 - -35. What is the least common multiple of 8 and g?
8
Let k = 2319 + -23169/10. Calculate the common denominator of -101/32 and k.
160
What is the smallest common multiple of 4 and 19/4 + (-2)/(-8)?
20
Let n(z) = -5*z - 5*z - z - 12 + 9*z. Calculate the lowest common multiple of n(-9) and 10.
30
Suppose 243 = -3*t - 3*w, -t + 6*t + w = -417. Calculate the common denominator of -67/20 and ((-20)/352)/(3/t).
220
Suppose 2*k - 80 = 3*v, 5*v + 3*k + 17 + 148 = 0. What is the common denominator of -19/6 and 6/(-30) + (-556)/v?
6
Suppose 34 = 2*f - 2. Calculate the lowest common multiple of 58 and f.
522
Let g be (-8 + 8)/(1 + 1). Let f = 5 - 1. Suppose g = 3*m - 4*m + f. What is the least common multiple of m and 8?
8
Let c(y) = y**2 + 5*y + 5. Let u be c(-5). Suppose 0 = -u*t + 2*q - 0*q + 10, -3*t + 32 = 4*q. What is the lowest common multiple of 10 and t?
20
Let m(v) = 11*v + 2. What is the lowest common multiple of 15 and m(2)?
120
Let o = 107/24 - -31/8. Suppose 2*y + 0*y = -4. Calculate the common denominator of o and ((-186)/20 - 0) + y.
30
Let i = 3/6245 + 255991/112410. Calculate the common denominator of i and 4/10 + (-766)/(-60).
18
Let m(j) = j**3 - 6*j**2 + 8*j - 10. Calculate the least common multiple of 7 and m(5).
35
Let h(o) = -2*o - 3. Let r be h(-2). Let c(p) = p**2 + 5*p + 7. Let q be c(-5). Suppose u - q = r. What is the lowest common multiple of u and 18?
72
Suppose -11*u = -0*u - 55. Calculate the least common multiple of 35 and u.
35
Suppose -5*v = -3*y + 37, -5*y + 29 = -5*v - 16. Calculate the common denominator of (-206)/(-220) - v/25 and (-2)/(-4) + 114/(-16).
88
Calculate the common denominator of -95/12 and 8/10*(-32)/6.
60
Suppose 27 = -3*p - 21. Calculate the common denominator of (-154)/p*7/7 and 29/14.
56
Suppose 3*h - 36 = -6*h. Let b(q) = -q**2 + q + 10. Calculate the least common multiple of h and b(0).
20
Let g be (-1)/(9/(-6) - -1). What is the common denominator of 1 + g + (-230)/44 and (3/(-4))/(11/62)?
22
Let p be (-22930532)/(-20) + 6/(-10). Let n = p + -149036131/130. Let c = 1130/13 - n. Calculate the common denominator of -36 and c.
10
Let x(o) = -2*o**2 + 6*o - 2. Let u be x(4). Let d be (1/2)/((-1)/u). Suppose d*r = 13 + 7. What is the lowest common multiple of r and 7?
28
Let z = 13199/7 + -1878. Let k = -3/167 - -440/15197. Let o = k + 1180/273. What is the common denominator of z and o?
21
Let u(x) = x**2 - 6*x - 11. What is the common denominator of -61/10 and u(10)?
10
Suppose x = -5*v + 60, -5*v + 49 = -2*v - 2*x. Let f = 35 - v. Calculate the lowest common multiple of 4 and f.
44
Suppose 5*s = -5*h + 35, h - s + 3 = -0*s. Calculate the least common multiple of 2 and h/6 + (-10)/(-15).
2
Let u be 4*-9*(-16)/24. Let v = 51 - u. Suppose 0 = 2*s - 5 - v. What is the least common multiple of s and 20?
80
Suppose -3*q = 6, 5*s + q = 3*s. Find the common denominator of 2*612/160 - (4 - 1) and s + -1 + (-246)/(-20).
20
Let l be (-3)/3 + 4192/(-4). Let u = 20959/20 + l. Let i = 2344 - 4785/2. What is the common denominator of u and i?
20
Let o be 10*(-7)/((-70)/12). Suppose g + o = 3*g. Find the common denominator of (-258)/27*g/(-4) and -13/5.
15
Suppose b = -0*b - 3*j + 4, -2*b - 2*j = -8. Let n(o) = -o**3 + 5*o**2 + 3*o - 6. What is the smallest common multiple of n(b) and -3*(-1 + (-2 - 3))?
198
Suppose -2*t + 39 = -4*l - 15, 0 = 2*l + 3*t + 7. Let v be 2/(-9) + (-281)/(-9). 