?
80
Let s(m) = m**3 - 10*m**2 + 8*m + 11. What is the lowest common multiple of (24/16)/(((-45)/(-6))/5) and s(9)?
2
What is the common denominator of 1190/(-168) - (-1)/2 and 59/10?
60
Suppose -3*z + 5*j = 580, -j + 0 - 1 = 0. Let h = -320 - z. What is the least common multiple of 18 and (-2)/(-14) - h/7?
18
Suppose -5*a = -o - 3*o + 1, -3*a - 7 = 4*o. Let w = a + 9. Let p = 14 - w. Calculate the lowest common multiple of 4 and p.
12
Let h = 4 - 0. Suppose 9 + 15 = h*t. Calculate the common denominator of (-60)/63*t/16 and 33/10.
70
Suppose 12*u - 1218 = 9*u. Calculate the common denominator of -29/18 and u/120 - 2/(-3).
180
Let f = -69 + 87. Calculate the least common multiple of f and 8.
72
Let m = -31227/4 + 96167/12. Let n = m + -604/3. What is the common denominator of -131/12 and n?
12
Let l be -2 + (1135 - 2) - 2. Let i = l - 20339/18. Find the common denominator of i and -125/12.
36
Let l = 121099/194 - 70/97. Let w(j) = 68*j**2 - 3. Let u be w(-3). Let b = l - u. What is the common denominator of 49/2 and b?
2
Suppose -2 = 2*h + 4*r - 4, 3*h - r = 3. What is the smallest common multiple of h and 3*((-6)/(-2) - 0)?
9
Find the common denominator of 4/((-60)/39) - -2 and ((-198)/(-40))/((-2)/4).
10
Let k = 4162 - 29087/7. Calculate the common denominator of k and -91/45.
315
Let d = -16 - -26. What is the lowest common multiple of d and 4?
20
Let q be (14/(-6))/((-1)/3). Let p = q + -1. What is the lowest common multiple of 10 and (-31)/(-3) - 2/p?
10
What is the common denominator of 534/32*32/96 and 103/36?
144
Suppose -y = -12 + 8. What is the smallest common multiple of y and 22?
44
Let c = 4905 - 48959/10. Find the common denominator of c and 2 + 2*(-62)/(-64).
80
Let w be (2 - 4) + 990/496. Let o = -2857/1240 - w. What is the common denominator of 93/8 and o?
40
Let m(p) = -33*p + 1. Let g be m(-1). Let f = 56 - g. What is the lowest common multiple of 2 and f?
22
Let f = -25 + -17. What is the common denominator of f and 34/11?
11
Suppose 0*q + 3*q = 135. What is the lowest common multiple of 15 and q?
45
Let k = -11 - -5. Calculate the common denominator of 63/10 and (-126)/4 + k/(-2).
10
Let t be (-1928)/(-9) - (-2)/4. Let a = t + -215. Find the common denominator of ((-4)/(-50))/((-8)/(-190)) and a.
90
Let r(n) = -n**2 - 7*n - 4. Let a be r(-6). Suppose a*d + 7 = 3*d. What is the least common multiple of 10 and d?
70
Let x be 2 - (14477/14473 + 1). Let g = -150563196978285229/289460 + 520151996752. Let f = g + x. Calculate the common denominator of 87/16 and f.
80
What is the least common multiple of (5/(-5))/((-2)/6) and 8?
24
Suppose 0*b + 2*b = -4. Let p be 7 - (6/b + 6). Suppose -q - p*k + 2*k = 8, 0 = -2*k - 10. What is the smallest common multiple of q and 8?
8
Let c = 78 - -22. Suppose -7*y + 2*y + c = 0. Calculate the lowest common multiple of 14 and y.
140
Let f = 1776 + -24817/14. What is the common denominator of -101/10 and f?
70
Let v = 6/1439 + -47607/28780. Suppose -4*q + 5*q + 4 = 0. Find the common denominator of v and (53/(-5))/(-2 - q).
20
Suppose -3*i - 1 = -31. What is the least common multiple of 3 and i?
30
Let s = -227/230 + -44/23. Find the common denominator of -59/7 and s.
70
Let g = -5 - -13. Calculate the lowest common multiple of g and 7.
56
Let s(c) = c**3 - 8*c**2 + 13*c - 8. Let p be s(8). Suppose 17*r = 13*r + p. Calculate the smallest common multiple of 2 and r.
24
Let t = 3 + -6. Find the common denominator of -43/10 and t/9 - (-542)/96.
80
Let i(d) = -47*d + 16. Let s be i(-12). Let k = 1802/3 - s. Calculate the common denominator of k and -39/4.
12
Let s = -504240461/27478167 + 7/631682. Let v = 159/29 - s. Find the common denominator of 56/3 and v.
6
Suppose 2*h = 4*h + b - 108, -5*b + 20 = 0. What is the lowest common multiple of h and 10?
260
Let v(a) be the first derivative of -a**3/3 + 5*a**2 - 12*a + 2. Calculate the smallest common multiple of 8 and v(8).
8
What is the common denominator of 71/6 and (-51)/(-34)*(-110)/18?
6
Let c = 65159/3462 + 7/577. Let n = -763/2 - -421. Calculate the common denominator of n and c.
6
Let l(z) = -z**2 + 4*z + 14. What is the least common multiple of l(6) and 71?
142
What is the common denominator of ((-5)/140)/((-2)/(-12)) and -51/4?
28
Let z = 2/75 + 2759/600. Calculate the common denominator of z and -43/4.
8
Let y = 65865/16 - 4120. Find the common denominator of (-210)/8 + 1/(-4) and y.
16
Suppose -3*w - 1 = 2*n + 2, 5*w = 3*n - 24. Suppose -r + 0*v - 5*v + 43 = 0, 65 = 5*r - 5*v. What is the least common multiple of r and w/(-6)*4*10?
180
Let g = -410/64487 + 3440765/515896. Let n = g + 42/59. Let w = -12223/5 + 2457. Find the common denominator of w and n.
40
Let n = -231466401268574933728/3311 + 69908306626541590. Let j = n + -595561550. Let v = j - -3/3311. What is the common denominator of v and -49/3?
21
Let r be 2 - (-2)/((-6)/15). Let d = r - -10. Suppose 2*j = -j + 18. Calculate the smallest common multiple of j and d.
42
Let g(z) = -18*z**2 - 4. Let o(l) = -l**2 - 1. Let m(y) = g(y) - 4*o(y). Let d be m(-1). Calculate the common denominator of 786/(-56) + (-4)/d and 143/18.
36
Suppose 4*i - 20 = 3*i. What is the lowest common multiple of 55 and i?
220
Let x(l) = -2*l**3 + 2*l**2 + 2*l - 4. Let s = -36163/10 - -3623. Calculate the common denominator of x(3) and s.
10
Let v = -11 - -15. Suppose -39 = -v*m - 3*j, 0*m = -5*m - 4*j + 50. Let h(r) = 3*r - 4. What is the least common multiple of m and h(4)?
24
Let g = -8 - -14. Suppose -d = -0*d. Suppose d*f - g = -f. Calculate the least common multiple of 1 and f.
6
Let k = 346 + -3441/10. Calculate the common denominator of 97/2 and k.
10
Let p be -2 - (25791/(-14))/(-1). Let n = p - -1836. Calculate the common denominator of (-154)/16 + (-2)/8 and n.
56
Suppose 6*r = 54 + 42. Calculate the least common multiple of 12 and r.
48
Let f = 253799 + -2021001/8. Let b = f - 1176. What is the common denominator of b and 81/(-2)*(-2)/(-24)?
8
Let z = 14 + -24. Let m = z - -12. Calculate the smallest common multiple of m and 8.
8
Let k = 84485/18 - 4696. Find the common denominator of -115/14 and k.
126
Suppose h + 4*f = 5, 2*f = -2*h - 3 + 19. Calculate the least common multiple of 2 and h.
18
Suppose -3*z - 8 = -7*z. Suppose -7 = z*l - 1, 4*l - 18 = -5*c. Suppose 4 = 2*p + 2*d, 12 = -5*p - 3*d + 30. What is the lowest common multiple of c and p?
6
Let z(n) = 6*n**2 - 5*n - 7. Let y(m) = m + 1. Let c(g) = 6*y(g) + z(g). Let r be 0/3 - (1 + -2). Calculate the least common multiple of c(r) and 2.
6
Let m = 5 - 2. Suppose -15 = -m*q - 0*q. Let b(j) = -j**2 + 9*j - 9. Calculate the smallest common multiple of b(6) and q.
45
Let m = -1 - -1. Suppose m = -i - 3 + 1. What is the smallest common multiple of (-9 - 2/(-2))*i and 22?
176
What is the smallest common multiple of (-3 - -1 - -9) + 5 and 3?
12
Let v = -20032 - 36620. Let n be ((-2)/(-4))/((-16)/v). Let y = -1767 + n. Find the common denominator of y and -85/4.
8
Find the common denominator of (-314)/8 + (-2)/8 and 0 - (51/(-22) - 2).
22
Let o = -9 + 9. Suppose o = -3*q - 1 - 5. What is the common denominator of -2/9 and (-3 + q)*(-10)/(-4)?
18
Suppose 5*w = 22 - 2. What is the smallest common multiple of w and 34?
68
Let h = 2227/2 - 1081. Calculate the common denominator of h and (-62)/4*(-6)/(-4).
4
Let l be ((-19945)/2)/((-2)/(-4)). Let c be 2/6 - l/(-2010). Let s = -6/67 - c. Calculate the common denominator of s and 61/3.
6
Let t = -1/798 - 5120/399. Find the common denominator of 29/2 and t.
6
Let t = -26 - -58. Suppose 3*m - y = 5*m - t, 0 = 5*m - 4*y - 54. What is the smallest common multiple of 4 and m?
28
Let b(v) = -v**2 + v. Let x be b(1). What is the smallest common multiple of (36/63)/((-2)/(-7)) and (6 - -1)/(1 - x)?
14
Suppose -4*h = l - 11, l = h + 4*l - 11. What is the lowest common multiple of h and 3?
6
Let z = -4 - -7. Suppose -z*n = 5*h - 37 - 24, 5*h + 11 = 3*n. What is the smallest common multiple of 8 and n?
24
Let z = -5 - -8. Let x = z + 19. Calculate the smallest common multiple of x and 4.
44
Let r = 144 + -133. Calculate the smallest common multiple of r and 15.
165
Suppose -a = 13*a - 308. What is the lowest common multiple of 18 and a?
198
Let i(z) = z**3 + 6*z**2 - 3*z - 8. Suppose 0 = 3*r + r + 24. Calcula