l = 4*o - 45, 2*o = 10. What is the smallest common multiple of 6 and l?
30
Find the common denominator of -61/15 and ((-4)/24)/(3*1/(-44)).
45
Suppose -6 = -5*z + 2*d + d, 2*z + 6 = 4*d. Suppose z*o = o + 20. What is the common denominator of ((-4)/60)/(o/(-1245)) and 61/10?
10
Suppose 5*k = n + 4*n - 15, -3*n = -4*k - 10. Let t = 4 - n. What is the lowest common multiple of 5 and t?
10
Let q = 179/2 + -97. Let x be 82/((-5)/7 - -1). Calculate the common denominator of q and 12/(-30) - x/(-80).
16
Suppose -5*g - 28*g = -165. Let r(a) = -a**3 + 6*a**2 - 6*a - 4. Let u be r(5). Let z = 0 - u. What is the least common multiple of z and g?
45
Let c = -80407/16 + 5027. Find the common denominator of ((-11)/(-16))/(80/(-64)) and c.
80
Suppose 0 = 4*a - c - 31, -8 = 8*a - 7*a + 5*c. Calculate the smallest common multiple of a and (-1)/(-3 + 8/3).
21
Suppose -5*k + 10 = -w, -4*w + 5*w = -k + 8. Let r = -8 + 17. What is the lowest common multiple of r and w?
45
What is the smallest common multiple of 12 and 10 - -1*(3 - (-20)/(-5))?
36
Let g(c) = 3*c**2 + c - 78. Calculate the lowest common multiple of g(5) and 8.
8
Suppose -x - 21*x = -6732. Calculate the smallest common multiple of x and 33.
3366
Let n(t) = t**2 + 2*t - 3. Calculate the smallest common multiple of n(3) and 8/(-1) + (50 - (23 - 17)).
36
Let t be 68*(2/(-2) - 0). Let l = 72 + t. What is the least common multiple of 8 and l?
8
Let r be ((-21)/(-156))/((-10)/(-3540)). Let f = r + -41/13. Find the common denominator of f and 3/11.
22
Suppose -18*v = -122 - 22. Calculate the lowest common multiple of v and 196.
392
Calculate the common denominator of (51/(-225))/(40/160) and 127/6.
150
Let o(q) = 3*q**3 + 5*q**2 - 4*q + 1. Suppose -5*y = -p - 43, 3*y = -3*p + 5*p + 23. What is the smallest common multiple of o(2) and y?
333
Suppose -2*y - 8*z + 182 = -11*z, -z = -y + 89. What is the lowest common multiple of y and 65?
1105
Let n = -1 + -4. Let r(s) = 2*s**2 - 5*s + 5. What is the least common multiple of (-4 + (-45)/n)*2 and r(3)?
40
Let r = 453 + -411. What is the least common multiple of r and 12?
84
Let w(h) = -h**2 - 10*h - 2. Let s(z) = -z**2 + 1. Let r(v) = -2*s(v) - w(v). What is the least common multiple of r(-5) and 5?
25
Suppose -3*m + 2*c = -9, -2*m + 3*c + 2*c - 5 = 0. Suppose 3*y = -i + 8 + 7, -m*i - 1 = -4*y. Calculate the smallest common multiple of 5 and i.
15
Let h = -12 + 15. Suppose 0*g + h*g = -12, 5*g = -4*y - 28. Calculate the least common multiple of 4 and (-7 - (-4 + 7))/y.
20
Suppose -5*v + g - 147 = 0, -3*v + 2*g + 0*g = 91. Let n = 568/9 - 5111/72. What is the common denominator of 5/(15/v) + -2 and n?
24
Let f = -13 + -3. What is the common denominator of (-178)/(-24) + 6/(-18) and (10/f)/(1/17)?
24
Calculate the common denominator of -7 + 9 - (-894)/(-392) and -5/18.
1764
Let g = 2500 - 15089/6. Calculate the common denominator of -67/140 and g.
420
Suppose -11*j = -9*j + 368. What is the common denominator of 29/8 and ((-2)/j)/((-2)/12)?
184
Let w = -94873/58842 - -4/3269. Calculate the common denominator of -151/162 and w.
162
Let l be (-3)/7 - (-25125)/(-12425). Let p = -7427/568 - l. Find the common denominator of 17/4 and p.
8
Calculate the lowest common multiple of 28/49 + (-426)/(-14) + -1 and 205.
1230
Let c = 84 + -52. Let y = -16 + c. Let s(j) = -3*j - 4. Calculate the least common multiple of s(-6) and y.
112
Suppose 2*d - 2*c - 9 = -d, 0 = 2*c. Calculate the smallest common multiple of d and 51.
51
Let p = -79031 - -19441597/246. What is the common denominator of -101/12 and p?
492
Let i = 15 + -16. Let a be i - (-1 - -2)*-7. Suppose -18 = a*s - 7*s. Calculate the smallest common multiple of 44 and s.
396
Let b = 30097/10 - 3020. Find the common denominator of b and ((-3)/(-6))/(8/(-47)).
80
Let p(m) = m**3 + 37*m**2 + 32*m + 63. Calculate the smallest common multiple of 81 and p(-36).
1863
Calculate the lowest common multiple of 336 and 43 + ((-36)/(-8) - 7)*-2.
336
Suppose -72 = -q - 156. Find the common denominator of (-6)/27*306/q and 97/30.
210
Let s = -3311/1468 - -2/367. Find the common denominator of 109/44 and s.
44
Let w be (-18)/(4 - (2 - 0)). Let s = 16 + w. Calculate the smallest common multiple of s and 11.
77
Let a(r) = r**2 - r. Let l(m) = -m**3 + m + 2. Suppose -3*g = u + 9, -15 = -0*g + 5*g. What is the least common multiple of a(-1) and l(u)?
2
Let p = 40091/24 - 1669. Find the common denominator of p and 95/48.
48
Let o = -28/943 + -89231/75440. What is the common denominator of 37/300 and o?
1200
Let h = -34 + 32. Calculate the common denominator of 9/2 and 27/h*(7/(-12))/(-7).
8
Let s = -594811/24 + 24788. Calculate the common denominator of s and (6/(-15) + (-89)/(-10))/(-11).
264
Let w be 4 - (-3 - -3) - 9. What is the common denominator of 19/14 and 62/(-14) - 0 - w/10?
14
Suppose -2*d - 481 = -w, -3*w + 399 = -3*d - 1047. Let a = w + -963. Let x = 2867/6 + a. Find the common denominator of 5/6 and x.
6
Let a = -6727 + 3472. Let c = -39083/12 - a. Let z = -77723/18 + 4316. What is the common denominator of c and z?
36
Let f be 3 - (12/(-3) + 0 + -13). Calculate the common denominator of -91/30 and ((-6)/f + 0)/((-9)/(-109)).
30
Suppose -3*g + 7*g - m = 397, -5*m - 104 = -g. What is the lowest common multiple of 54 and g?
594
Suppose 27 = -5*h - 23. Let g(c) = -c - 8. Let u(i) = -2*i - 2. Calculate the least common multiple of g(h) and u(-6).
10
Let s be 1017022/24*(-6)/(-22905). Let o = -2/4581 + s. Calculate the common denominator of o and 1/8.
40
Calculate the common denominator of (-297)/30 + (-4)/(-4) and 12/53.
530
What is the common denominator of 29/5 and (-2527)/210 + 58/(-15) + 4?
10
Calculate the common denominator of 8/(-6)*826/(-168) and -41/27.
27
Let l = -1583/56 - -345/14. Let b = -52 + 81. What is the common denominator of l and b?
8
Let q(p) = -p**3 - 5*p**2 - p + 7. Let o = -749 - -757. What is the least common multiple of o and q(-5)?
24
Suppose -2*m + 7 = -1. Find the common denominator of 1674/315 - (0 - m/14) and -10/11.
55
Let t = -1898 + -384. Let f = t - -15921/7. Calculate the common denominator of f and -1 + 1 - 187/(-33).
21
Let x be 3 - 3*2/(-3). Let j = -134859/10 + 13474. Calculate the common denominator of 3/x - (-286)/90 and j.
90
Let m = -1498 - -26935/18. Find the common denominator of m and (-2)/(-4) + (-103)/12.
36
Let i = -1098233/103425 - 2/4925. Let b = 1667/126 + i. Let z = 2298/5 + -32537/70. Calculate the common denominator of z and b.
126
Let p = 1100 - 1079. Calculate the lowest common multiple of (12/(-10))/(3/(-15)) and p.
42
Calculate the common denominator of (-3198)/(-11610) - 42/315 and 151/24.
3096
Let y = -8 + 14. Let p be ((-48)/(-10))/(y/20). Let n = 32 - p. Calculate the least common multiple of 12 and n.
48
Suppose -2*f - 4*l = -30, -5*l + 13 + 28 = 3*f. Suppose 9*o = f*o + 76. Calculate the smallest common multiple of o and 2.
38
Suppose -132 - 253 = -7*u. Let w = -5564 - -66731/12. Find the common denominator of 23/(-2)*10/u and w.
132
Suppose 3*v = 2*u - 33, -2*v = -4*u + 41 + 21. What is the lowest common multiple of u and 78?
390
Let r(c) = c + 12. Let s be r(-9). Suppose s = b - 1. Suppose 4*y - 40 = -4*l + b, -1 = -l - 3*y. Calculate the least common multiple of l and 20.
80
Let z(u) = -u + 26. Suppose 11*o = 6*o + 70. Let n = 121 + -83. Calculate the lowest common multiple of n and z(o).
228
Let d = -3 + 242. Suppose 0 = u - z - 2 - 56, 3*z = -4*u + d. Find the common denominator of -23/24 and -2*u*6/192.
48
Let a(b) = -b**2 + 14*b - 20. Let c(m) = m**2 + 4*m + 8. What is the smallest common multiple of a(10) and c(-6)?
20
Suppose -2*w + 7*w - 20 = 0, 0 = y + 4*w - 12. What is the common denominator of (-1068)/(-80)*y/(-6) and (-71)/(-4) + -2 + 0?
20
Let u = 276765 + -1388868/5. Let l = 1014 + u. What is the common denominator of l and (-268)/(-18)*(7 - 30/4)?
45
Suppose -2*i = -4*q - 30, 11 = -2*q + 2*i - 9. Let x be (3 - 2)/((-1)/q). Find the common denominator of (x/(-15))/((-20)/(-261)) and -61/8.
40
Find the common denominator of -41/22 and (-363)/126 - 8/24 - 4.
154
Let z(d) = 63*d + 6. Let x be z(-5). Let u be 13461/(-45) + -2 - (-16)/(-8). Let m = x - u. What is the common denominator of m and -53/2?
30
Let r = -201 + 225. What is the smallest com