.
8
Let t = 5 - -28. Let u be t/(-2)*52/9. Let o = u - -4453/48. Calculate the common denominator of -121/12 and o.
48
What is the least common multiple of 9 + (-3)/2*2 and 4?
12
Let v = 2/4201 + -22121/2344158. Let x = v + 3304/279. What is the common denominator of x and ((-1)/10)/((-20)/1525)?
24
Suppose -4*t + 0 = -4. What is the smallest common multiple of 3 and t?
3
Let p = -166496/118287 + 2/13143. Find the common denominator of p and 50/27.
27
Suppose 4 = -0*i + i. Suppose 0 = 4*p + 24 - i. What is the lowest common multiple of 1 and (2 - 9/3)*p?
5
Let f(a) = a**3 + 7*a**2 - 5. Calculate the common denominator of f(-6) and -53/3.
3
Let c = -16 + 16. Suppose m = -5*f + 16, c = -5*m + f - 0 + 2. Calculate the smallest common multiple of m and 3.
3
Suppose -4*c + 424 = 4*t, 2*c - 25 = -t + 79. Let l = 24751/1446 - -12/241. Find the common denominator of l and 1 - 2/(t/237).
18
What is the least common multiple of ((-8)/16)/(1/(-12)) and 16?
48
Let v(a) = a**3 + 5*a**2 + 3*a + 1. What is the least common multiple of v(-3) and -6*(-4 - 22/(-6))?
10
Let f = 1268/153 - 156/17. Find the common denominator of f and -30.
9
Let z = 378 + -801/2. Calculate the common denominator of 56/3 and z.
6
What is the common denominator of 28/(-24)*125/7 and 29/18?
18
Let i = -59 + 87. Suppose -3*t + u + 52 = 0, -3*t - u + i = 4*u. What is the least common multiple of 14 and t?
112
Calculate the smallest common multiple of (-2)/(-2)*5*(2 + -1) and 3.
15
Suppose 0 = 9*y - 13*y + 24. Suppose -t + 4*m - 14 = -3*t, -4*t - 3*m + 28 = 0. Calculate the smallest common multiple of y and t.
42
Let s = 14662/35 - 2061/5. What is the common denominator of s and (-15)/(3150/(-20))*150/4?
7
Find the common denominator of -83/10 and 1 - 2*(-165)/(-24).
20
Suppose -35 + 265 = -5*v. Calculate the common denominator of (v/56)/((-2)/8) and 79/10.
70
Let p be 858/(-30) - (-2)/(-5). Let a = -14 - p. Suppose 0 = 5*l - a, 5*o - 2*l - 41 = l. What is the lowest common multiple of 12 and o?
60
Let t = 41753 + -11022839/264. Calculate the common denominator of 19/8 and t.
264
Let b = 1647 - 16447/10. Find the common denominator of b and -54*6/(-32) - -1.
40
Let u = -3176/5 - -12229/20. Let b = -3893/2 + 1994. Find the common denominator of b and u.
4
Let z be (-1)/((-2 - -1)/(-1)). Let a(f) = -11*f**3 - f**2 + f + 1. Calculate the least common multiple of 8 and a(z).
40
Let f(d) be the first derivative of -d**3/3 - 5*d**2/2 + 7*d - 2. What is the smallest common multiple of 3 and f(-6)?
3
Find the common denominator of -13/56 and (20/11 + 0)*(-96)/80.
616
Let q(y) = -y**3 - y**2 - y + 3. Let t be q(-3). Let g = 36819/20 + -1840. Calculate the common denominator of ((-302)/t)/(2/4) and g.
60
Let k = 1/1008 - -52909/11088. Calculate the common denominator of k and -85/36.
396
Let k = -1835 + 14701/8. Find the common denominator of k and (-591)/(-84) + 7/(-28).
56
Let z = -1593 - -15943/10. Calculate the common denominator of -13/5 and z.
10
Suppose -14*z - 12 = -18*z. What is the smallest common multiple of z and 1?
3
Let d = -15 + 16. Find the common denominator of ((-168)/(-20) + d)*-1 and -1/6.
30
Let h(o) = 2*o**2 + 8*o + 4. Let q = -22 + 16. Calculate the least common multiple of 22 and h(q).
308
Let r be (-4)/(-2162)*(-1)/4. Let y = 37831/8648 - r. What is the common denominator of 9/2 and y?
8
Let i(r) = -7*r + 6. What is the least common multiple of 6 and i(-2)?
60
Let d be (-16)/2*(-33)/12. Let y = -18 + d. Suppose 3*c - 10 = -5*q + q, -2*q = -4*c + 50. Calculate the lowest common multiple of y and c.
20
Let g = -25128 + 552725/22. Let w be -1*(4/(-2))/2. What is the common denominator of w*(0 - (-31)/2) and g?
22
Let z(h) = -2*h**2 + 25*h - 3. Calculate the least common multiple of 16 and z(12).
144
Let f(s) = -s + 14. Let r be f(0). Let y = r + -5. Calculate the lowest common multiple of 2 and y.
18
Calculate the common denominator of (-4)/14 - 388/(-56) and -131/12.
84
Suppose 0 = l + 1 - 3, -3*d = -2*l + 1. Calculate the lowest common multiple of 10 and d/2*(-88)/(-4).
110
Suppose 0 = 3*j - 4*v - 146 + 29, -2*v = 0. Let a = -19 + j. Suppose -f + 3*f - a = -w, 0 = -3*f + 5*w + 30. What is the smallest common multiple of f and 7?
70
Let m = 402737921/20 + -20145330. Let o = -8429 - m. Let c = 2/249 - 10051/996. Calculate the common denominator of o and c.
60
Let w = 1/2402 + 134507/12010. What is the common denominator of (-1)/3*306/(-10) and w?
5
Let y = -13 + 15. What is the common denominator of 0 - (-291)/30 - y and (-82)/154 - (-6)/(-21)?
110
Let b be 0/((3/(-3))/1). Suppose 5*a + b*a = -5. What is the lowest common multiple of 10 and 3 + -4 + a + 3?
10
Suppose -377 = -3*f + 19. Suppose s = -5*g + 3*s + f, 0 = -2*s - 2. Calculate the least common multiple of g and 4.
52
Suppose -4*d + 5 = -2*c + 35, -4*d + 5 = 5*c. What is the common denominator of ((-2)/(-30))/(2/(-39)) and (c/(-25))/(2/435)?
10
Let h be (-194)/174 + (-3 - -1). Let g = 3/58 - h. Find the common denominator of (-1585)/(-150) - -1 - 2/5 and g.
6
Suppose 0 = z - 4. Suppose -a + 110 = z*a. What is the smallest common multiple of a and 16?
176
Suppose -2*x + 1 = -5. Suppose 0*d - 17 = -i - d, 0 = -x*i + 5*d + 75. Calculate the lowest common multiple of i and ((-12)/10)/(9/(-30)).
20
Suppose 9*u = 11*u - 12. Let f be (-6)/(-21) - (-82)/7. Find the common denominator of 97/f + 2/u and -43/8.
24
Suppose -2*r = 3*r - 30. Calculate the least common multiple of r and 6.
6
Suppose -4*a + 3*a - 4*j + 436 = 0, 2*a + 4*j - 880 = 0. Let l = 3539/8 - a. What is the common denominator of l and 19?
8
Let z be (-37930)/(-4) - (2 + -4). Let k = 9300 - z. Let f = -903/5 - k. Calculate the common denominator of -39/16 and f.
80
Let j(g) = g**2 - 2*g - 1. Let x = 3 + -9. Let t be (10/(-6))/(2/x). Calculate the smallest common multiple of j(t) and 2.
14
Let o = -107 - -141. Calculate the least common multiple of o and 5.
170
Let x = -28 + 52. What is the least common multiple of x and 33?
264
Let n = -1713/8 + 218. Calculate the common denominator of 47/8 and n.
8
Let u = -18951685593731/8324 - -2276752247. Let o = -1/2081 + u. What is the common denominator of 3*134/12 + 1 and o?
4
Let q(p) = -p + 11. Let u be q(8). Suppose -3*v - z - u*z + 2 = 0, 0 = -5*v + 5*z + 15. Calculate the smallest common multiple of 2 and v.
2
Let a = -571/16 + -13/16. Find the common denominator of 49/10 and a.
10
Let o = 12 + -9. Suppose -h = -4*n + o*h - 4, 0 = 2*h - 6. Calculate the smallest common multiple of n and 18.
18
Let q(a) = 5*a + 8. Let n be q(-8). What is the common denominator of (125/n + 4)*36 and 1 - (-2)/(8/(-39))?
8
Let t(d) = d + 1. Let u be t(-4). Suppose 0 = 8*l - 12*l - 44. Calculate the common denominator of 33/5 and (2 + u/2)*l.
10
Let k be 133/5 + (-2)/(-5). Let v = -17 + k. Calculate the lowest common multiple of v and 11.
110
Let s = 12 - 7. Suppose p - 22 = -4*l, 2*p + p - 5*l = -2. Calculate the smallest common multiple of 102/s + (-6)/15 and p.
60
Let k = -656 + 3901/6. Let s = 177799/12 + -14828. What is the common denominator of k and s?
12
Let h be -4026 - (0 + 3)*1. Let m = h + 44373/11. Find the common denominator of -13/9 and m.
99
Let s be (-16)/24 + 1558/260. Let h = s - -33/65. Find the common denominator of 43 and h.
6
Let y be 3 - (0 + (-1317)/(-453)). Let q = y - 6633/1510. What is the common denominator of q and 121/10?
10
Let k = 22579/3306 - -2/551. Find the common denominator of 34 and k.
6
Let n = 410345/52386 - -2/8731. What is the common denominator of -36 and n?
6
Suppose 5*d = -0*d + 15. Suppose -2*p + 10 = 3*p. Suppose -4*g - 18 = -p*s, d*s - g = 5 + 27. What is the least common multiple of s and 5?
55
Suppose 8*g - 5*g - 18 = 0. Suppose -j = 2*j - 6. Suppose 2 = o, j*m + 2*m = 2*o. Calculate the least common multiple of m and g.
6
Let i(m) = m**3 + 10*m**2 - 2*m - 14. Calculate the lowest common multiple of i(-10) and 26.
78
Suppose 0 = -3*m + 2*g + 172, -2*m + g + 104 = -9. Suppose m + 46 = 5*n. Calculate the lowest common multiple of n and 8.
40
Calculate the common denominator of (-1)/6*(-160)/15 and -9/2.
18
Let x be -2 + 1 - (0 - -2). What is the lowest common multiple of (-29)/x - (-3)/9 and 5?
10
Let z be ((-2)/(-3))/(5/15). Suppose z*y - y = 5. Let d(l) = l**3 - 6*l**2 + 5*l + 1. C