 is the common denominator of m and 12 + ((-635)/(-150) - 10)?
60
Let g be ((-2)/6)/((-5)/45). Let y = -2 + g. What is the lowest common multiple of y and (2/(-4))/(29/(-58))?
1
What is the lowest common multiple of (-175)/(-2)*((-84)/(-49))/1 and 20?
300
Suppose -9 = -4*s + s. Suppose -2*p - k + 16 = -0*p, -2*p + 5*k - 8 = 0. What is the lowest common multiple of s and p?
6
Let j = -23 + 39. Let o = -2 - -2. Suppose 2 = -o*u + u. Calculate the lowest common multiple of j and u.
16
Let o = -13 + 19. What is the least common multiple of (21/14)/3*-4*-6 and o?
12
Let l be 6/(-4) + (-171770)/20. Let c = l + 120361/14. Calculate the common denominator of 1/10*(-327)/6 and c.
140
Suppose 52 = -3*f - 146. Calculate the common denominator of -3 + (-3)/f*69 and 0 + 0 - (645/100 + -4).
220
What is the common denominator of 81/22 and -27*(-6)/(-96) - 3?
176
Let r(h) = -h**3 + h**2 + 3*h - 3. Let j be r(2). Calculate the common denominator of 2/j*2/(-192)*-82 and 35/12.
24
Let z = 23009/75420 - -1/2095. Calculate the common denominator of 43/12 and z.
36
Let i(v) = -v**2 - v + 7. Let d be i(3). Let w(a) = a**2 - 4*a + 3. Calculate the smallest common multiple of w(d) and 8.
48
Let k be (324/(-15))/(76/(-1400)). Let x = k + -398. Let s = x - -1441/152. Calculate the common denominator of -76/3 and s.
24
Let c(u) = u**3 - 5*u**2 + u - 2. Let n be c(5). Let r = 152 + -154. Find the common denominator of n/r*134/(-42) and 21/10.
70
Suppose 3*t = -2*v - 0*t + 23, 0 = -2*v - 4*t + 28. Let h be v - ((4 - 8) + 12). What is the common denominator of (-65)/h*2/4 and -43/18?
72
Suppose 2*u = 2*b - 32, u - 4*u = 5*b - 120. Let a = b + -9. Calculate the smallest common multiple of a and 18.
36
What is the common denominator of 3/(-9) - (-7106)/(-4620) and -41/112?
560
Let k(t) = 118*t**3 + t**2 + 4*t + 5. Let v be k(4). Let j = 288321/38 - v. Calculate the common denominator of ((-146)/(-10))/(38/95) and j.
38
Calculate the smallest common multiple of 126 and (286/(-65))/(2/(-70)).
1386
Suppose q - 918 = -4*c, -4*c + 4*q + 0*q + 928 = 0. Find the common denominator of (-42)/(-8)*c/207 and 58/3.
6
Let r(q) = -q**2 + 36*q - 90. What is the smallest common multiple of 22 and r(6)?
990
Let s(q) = q**3 + 2*q + 4. Let d be s(-2). Let u be (-2)/d - 74559/9. Let j = u + 8291. Find the common denominator of -127/42 and j.
84
Let s = 1/13 + 841/52. Calculate the common denominator of 80/99 and s.
396
Find the common denominator of (-4 + (-356)/(-16))/(66/(-8)) and 79/162.
1782
What is the common denominator of (-4)/1 + (-56)/(-128) and 198/(-4) - (-4)/(-4)?
16
Calculate the lowest common multiple of 36/(-10)*(1120/3)/(-8) and 88.
1848
Let k be -3*4/570*(10 + -5). Let t = k + 567/152. Calculate the common denominator of 3/8 and t.
8
Let v = -3617834/95 + 38083. What is the common denominator of 89/152 and v?
760
Suppose 3*c + 3*p = -18, 4*c + 5*p + 21 = 2*c. Let b = 9 + c. Suppose -8*f = 4*f - 108. Calculate the least common multiple of f and b.
18
Let n = -4 - -102. Let z = -70 + n. Calculate the smallest common multiple of z and 20.
140
Let x = -148 - -1189/8. Let a = 178 - 215. Find the common denominator of x and a.
8
Suppose -3*w = 3*m + 12, 3*m = -2*w - 19 + 5. Let g be m + 6 - (-1 + -1). Suppose 0*r = -4*r - 16, -2 = -y - g*r. What is the least common multiple of 14 and y?
70
Let s(l) = -5*l**3 + 1. Let m be s(1). Calculate the smallest common multiple of (-12 + 3)/(m/8*1) and 33.
198
Let z = 1132570554071/1141038507 + 19931252/101129. Let k = z + -3569/3. Let c = -267043/22566 - k. What is the common denominator of 37/7 and c?
42
Let h = 6485 + -252892/39. What is the common denominator of 41/208 and h?
624
Suppose 2*t = i - 2, 1 = -2*i - t + 25. Calculate the least common multiple of 12 and i.
60
Let w be (5134/1464)/((-3)/(-4)). Let t = -135/61 - w. Find the common denominator of t and -59/4.
36
Let p(n) = -n**3 - 7*n**2 - 7*n - 5. Let o be p(-6). Let t = 3 + o. Suppose y - t = -0*y. Calculate the least common multiple of y and 6.
12
Suppose -9*h + 11*h - 14 = 0. Calculate the smallest common multiple of 24 and (3/2)/(h/(-168)*-3).
24
Suppose 146 + 38 = -4*m + 5*j, 5*j - 225 = 5*m. Let b = 61 + m. Calculate the smallest common multiple of b and 2.
20
Let r = 54663/2159 - -348/127. Let a = r - 4307/102. Calculate the common denominator of a and 83/134.
402
Let k = -12617/8 + 1581. Let j = -5034280 - -1248504265/248. Let t = j - 16/31. Calculate the common denominator of k and t.
8
Let f = 147 + 45. What is the lowest common multiple of f and 6?
192
Let p be (4/142*1)/(-1). Let u = 423/9970 - -50167933/6370830. Let o = u + p. Calculate the common denominator of -19/8 and o.
72
Let v = -704887623/746816 + 1/106688. Let m = v - -940. Calculate the common denominator of m and 4/6*(-3)/(-8).
28
Find the common denominator of 28/9 and 4/(-30) + 6606/13095.
873
What is the smallest common multiple of (4 - (1 - 429)) + 4/(-2) and 22?
4730
Let j = -197 + 209. What is the least common multiple of 378 and j?
756
Let v(j) = -j**2 + 6*j - 6. Let l be v(4). Suppose -4*b = -20, 3*k + 4*b = l*k + 25. Calculate the least common multiple of 6 and k.
30
Suppose 353 = -7*a + 38. Find the common denominator of 7/(63/(-27)) + a/16 and 39/10.
80
Let y(r) = 13*r**2 - 2. Let z = -17 + 19. Let u be y(z). Find the common denominator of -7/2 and (-5)/(u/(-23)) + 1.
10
Let z = -2051/552 + 73/23. Find the common denominator of z and -8/27.
216
Suppose -3*n + 4 + 5 = 0. Let m(r) = 3*r**3 + 3*r - 2*r - 4*r**3 - 9*r**2 + 12. What is the smallest common multiple of n and m(-9)?
3
Let g(a) = 5*a + 3. Let m be g(-12). Let c = -53 - m. Find the common denominator of c and -15/19.
19
Suppose 28 = 4*m + 4*s, 2*s + 1 = -m + 6. Calculate the least common multiple of m and 126.
126
Let y be (-204)/1*4/8. Let q = -96 - y. Calculate the smallest common multiple of 2 and q.
6
Let a(x) = -9*x + 2. Calculate the smallest common multiple of a(-2) and (-2 + 10 + (-850)/125)*(-80)/(-6).
80
Let y = -8903/42 - -661/3. What is the common denominator of y and -15/4?
28
Let f = -35 + 71. What is the lowest common multiple of f and 24?
72
Let g = 14 - 7. Suppose -9*k = -3*k - 72. Suppose 3*r = k, -a - 2*r = a - 10. What is the least common multiple of a and g?
7
Let m be (-9)/24*-4*2. Suppose m*x - 31 = -5*i, 5*x + 5*i + 0*i - 35 = 0. Suppose x*s - 1 - 7 = 0. Calculate the lowest common multiple of 18 and s.
36
Let l be 8206506/(-8784) + 1*-1. Let m = 873629019/924760 + l. Let z = 20/379 - m. What is the common denominator of 9 and z?
5
Let q = -10 + 9. Let l be (-27)/(-15) + q/(-5). Suppose -s + 2*c + 8 = 0, -l*s - 5*c + 48 = -4. Calculate the lowest common multiple of s and 6.
48
Let c = 1/508 + 501/3556. Calculate the common denominator of 41/19 and c.
133
Let j = -71 - -85. Calculate the lowest common multiple of 22 and j.
154
Suppose -16 = -15*b + 11*b. Suppose -b*q = 2*q + 126. Find the common denominator of 40/q + 2/(-3) and -5.
7
Let x = 10 + -16. Let q(v) = -12 + 15 + 4 - v**2 + 2*v - v - 3*v. Calculate the common denominator of q(x) and -97/10.
10
Let y = -1465 + 1476. Let u(v) = -v**3 + 11*v**2 + 14*v - 16. Calculate the least common multiple of y and u(12).
88
Suppose 0 = 5*t + 2*f - 23, 0*t + 4*f = 3*t + 7. What is the smallest common multiple of 72 and t?
72
Suppose 27 + 54 = 3*q. Suppose 5*j = 2*j + q. Let f = -2 + 6. Calculate the lowest common multiple of j and f.
36
Let j(k) be the third derivative of -k**6/24 + k**5/60 + k**4/24 + k**3/6 + 3*k**2. What is the least common multiple of j(-1) and ((-6)/(-4))/((-18)/(-120))?
30
Let l = -1006/7 - -12031/84. Calculate the common denominator of 23/14 and l.
84
Let g be -1*3241 - (-2 - -6). Let i = g - -25925/8. Calculate the common denominator of i and -91/10.
40
Calculate the lowest common multiple of 3/((-3)/(-26)) - (-19 + 21) and 40.
120
Let u be -2 - -2*15/6. Suppose 2*r = 5*r - 12. Let b = r + u. What is the least common multiple of 1 and b?
7
Let t(q) = q**2 - 3*q - 12. Suppose 0 = 2*b - 5*s, 2*b - 6*b = -s - 18. Let w be t(b). Calculate the common denominator of -23/16 and w + ((-162)/(-28) - -2).
112
Suppose 11*v = 9*v + 8. Suppose -5*w - 4*z + 32 = 0, v*w - 8*z = -4*z + 4. Calculate the lowest common multiple of w and 2.
4
Let q = -41 - -29. Let i