m = 32 + -23. Let q(t) = -4*t**3 - t**2 - t. Let k be q(-1). Suppose k*h - 25 = 2*i + 3*i, -i + 19 = 4*h. What is the lowest common multiple of h and m?
45
What is the common denominator of 3/22 and (-1428)/210*2/(-4)?
110
Let z = -26 - -18. Let r be 13851/(-4) - (-2)/z. Let k = r - -13921/4. What is the common denominator of k and -41/12?
12
Let a = 26 + -78. Calculate the smallest common multiple of 1 - 13/(a/24) and 3.
21
Calculate the common denominator of 109/28 and ((-4)/14 - 51/(-252))*226.
84
Suppose 4*b + 4 = 0, 2*b + 12 = 5*d - 30. Let w = -14 + 36. Calculate the smallest common multiple of w and d.
88
Let v(r) = r**2 - 8*r - 1. Let d be v(9). Find the common denominator of d/(-40)*(-7)/1 and 71/45.
45
Suppose -3 - 3 = -2*v. Let i(g) = 20*g - 10 + 6*g**2 - 12*g + 10*g - g**v. What is the smallest common multiple of 9 and i(8)?
18
Let d be (-18)/(-4)*(-7)/(-21)*-2. Calculate the lowest common multiple of 6*(-36)/45*5/d and 20.
40
Let f = 798719/1430 + -5583/10. What is the common denominator of (4 + 0)*(-610)/80 and f?
286
Let f be 2/5*(7 - (-3 + 5)). Calculate the lowest common multiple of 26 and (19 - 1)*((-10)/6 + f).
78
Calculate the common denominator of -25/412 and 2/4 - 200/60.
1236
Suppose 225*w - 217*w - 48 = 0. What is the least common multiple of w and 24?
24
Let z(g) = -12*g**2 - 10*g - 14. Let f be z(-5). Find the common denominator of (-4)/(-22) - 6596/f and 93/14.
42
Let s(q) = 24*q**2 + 5 - 6 + 1. Calculate the lowest common multiple of s(1) and 12.
24
Let h be (-2)/7 - 256/(-14). Calculate the common denominator of (-498)/108 + (-2)/4 and 6/30*(-345)/h.
18
Let j = -12 - -9. What is the common denominator of -53/2 and (j + 1)/((-72)/(-124))?
18
Let f(d) be the second derivative of -6*d + 7/6*d**3 - 1/12*d**4 + 0 + 3*d**2. Calculate the lowest common multiple of f(5) and 8.
16
Suppose 4*k - 27 = j, -2*k + 21 = 2*j - 5*j. Suppose 28 = q + q. Calculate the smallest common multiple of k and q.
42
Suppose v - 2*l - 21 = 24, 5*v - 180 = l. Calculate the smallest common multiple of 56 and v.
280
Let u be 5*(-1 - (-78)/10). Suppose 30 + u = 4*w. Calculate the lowest common multiple of 22 and w.
176
Let i = -5 + 3. Let q = 73/74 - -1595/296. What is the common denominator of q and i - (-3 + 91/(-18))?
72
Suppose 13*n - 220 = 8*n. Suppose -n = 9*i - 11*i. What is the smallest common multiple of (-19)/(-3) - (-1)/(-3) and i?
66
Let h = -88645/12 - -7382. Suppose -4*z - 4*x = 6 - 2, 3 = -x. What is the common denominator of h and z/(-3) - (-166)/(-48)?
24
Let f be (4/(-1662))/((-10)/23455). Let m = f - -6/277. Find the common denominator of -56/9 and m.
9
Let i(o) = o**2 - 5*o - 4. Let z be i(6). Suppose 2*g + 154 = 13*g. Calculate the smallest common multiple of (-81)/(-3)*z/3 and g.
126
Let l = -18704 - -972539/52. Find the common denominator of (-3928)/(-336) + (-2)/(-14) and l.
156
Let z(w) = 0*w**2 - w**2 - 7 - 23*w + 41. Suppose -2*c + 8 = 2*c - 2*k, 0 = -3*c - 3*k + 15. Calculate the lowest common multiple of z(-24) and c.
30
Suppose 612 = 4*c - 4*t + 2*t, 485 = 3*c + 5*t. Let k = c + -128. Calculate the smallest common multiple of 9 and k.
27
Let h(n) = -n + 6. Let s be h(-5). Let l = -13 + s. Find the common denominator of 49/3 and l/(-7) + (-687)/(-70).
30
Let q = -77 - -140. What is the least common multiple of 144 and q?
1008
Let r = -20 - -95. What is the least common multiple of (12/(-10))/((-10)/r) and 1?
9
Calculate the lowest common multiple of ((-72)/96 - 10/8)*-8 and 26.
208
Let r be 15/(-10) - (3 - (-6)/(-4)). What is the least common multiple of 3 and (-1)/1 + (-66)/r?
21
Let c be 9/4 - 2 - 60510/(-8). Let v be (-332875)/44 + (-6)/24. Let j = c + v. What is the common denominator of 63/26 and j?
286
Let z = 2/9 + 25/117. Calculate the common denominator of z and -30/11.
429
Let s = 562 - 5629/10. Let v = -4 - -1. Find the common denominator of s and -1 + (-194)/(-36) + v.
90
Suppose 2*u = 2*q + 48, 5*q = -3*u + 42 + 54. Let h = u + -17. What is the least common multiple of 22 and h?
110
Let a be 1 - (-2 + -56)/1. Let f(s) = s. Let n be f(-2). Calculate the common denominator of -17/2 and ((-1)/n)/((-2)/a).
4
Suppose 2*d + d = 5*y + 5490, y + 1075 = -4*d. Let k = 4335/4 + y. Find the common denominator of 471/(-72) - (-1)/(-3) and k.
8
Let v = 2/28377 - -775484/2185029. Find the common denominator of 41/2 and v.
462
Let r(m) = 2*m**2 - 2*m - 2. Suppose 4*o = -3*y + 2*o + 44, -2*o = -4*y + 40. What is the lowest common multiple of r(-3) and y?
132
Suppose -336*u = -341*u + 570. Calculate the smallest common multiple of 171 and u.
342
Let w = 138/61 - 275/1281. Calculate the common denominator of w and (154/(-5))/(((-24)/(-4))/1).
105
Calculate the common denominator of 3*3342/7884 + 2/(-2) and -11/8.
1752
Let d = -8 + 15. Let l = -19 + d. Calculate the common denominator of -65/9 and 127/(-6) - (l + 16).
18
Let a = -29 - -20. Find the common denominator of (-475)/40 - 9/(-3) and (1/a + 0)*-4.
72
Suppose -52*u + 47*u + 30 = 0. Suppose -6*d = -3*d. Suppose d = 2*p + 3 - 19. What is the smallest common multiple of p and u?
24
Suppose 3*j - 5*j - 6*j = 0. Suppose j = -a + 142 - 140. Calculate the lowest common multiple of a and 5.
10
Let l = 83167/2 + -39812. Let d = 1733 - l. Let b = -2283 + 41059/18. Calculate the common denominator of d and b.
18
Let q = 4088 - 73699/18. Let a = 14219/10 - 1426. What is the common denominator of q and a?
90
Let m = 0 - 1. Find the common denominator of 323/(-28) - 1 - (-12)/42 and m/2*345/18.
12
Let d(o) = o**2 - 7*o - 10. Suppose -2*g + 2*b - 9 = -3*b, 0 = 2*g - b - 11. Let z be d(g). Calculate the lowest common multiple of 4 and 7 - 4 - (z - 6).
44
Let h = 11/73 + -8461/438. Find the common denominator of 4 + (0 - 4/(368/382)) and h.
138
Let h(q) be the first derivative of -6*q**2 - 19*q + 30. Calculate the lowest common multiple of 1 and h(-4).
29
Suppose 8*n + 0*n - 32 = 0. What is the lowest common multiple of n and 174?
348
Let z(h) = -7*h - 3. Let x be z(3). Let j = 32 + x. What is the least common multiple of 4 and j?
8
What is the common denominator of (-2)/(-12) + (-979)/528 and 61/8?
16
Let o(n) = n**3 - 15*n**2 + 16*n - 1. Let f be o(14). What is the common denominator of 10/7 and -9 - -8 - (1 - 3/f)?
63
Let x = -2899/920 - -1/920. What is the common denominator of x and 2/(-1) - 435/(-132)?
220
Let h(r) = r + 2. Let k(o) = -o**2 + 6*o + 10. Let d be k(7). Suppose -20 = -5*n + 5*s, 4 = 4*n - 3*s - 12. Calculate the lowest common multiple of h(d) and n.
20
Let w = -36931 + 2363643/64. What is the common denominator of -65/8 and w?
64
Let u = 46 - 35. Let k be (-4)/8 + (-74)/(-4). Suppose 6*b - 4*b = k. Calculate the least common multiple of u and b.
99
Suppose 0 = -6*y + 5*y + 32. Let b = y + -39. Calculate the lowest common multiple of 3/b + 286/14 and 4.
20
Calculate the smallest common multiple of 9 and 64/(-28)*(-7 - (-14)/4).
72
Let q be -4 + (66/3 - -3). Find the common denominator of 350/q - (0 - (0 - -1)) and -41/2.
6
Suppose 3*j - 1738 - 1459 = -5*o, 2*o - 1284 = 4*j. Calculate the common denominator of 79/4 and (850/o)/(2/4).
32
Let s = 1189 + -16551/14. Find the common denominator of -1*(-2)/(-40)*134 and s.
70
Calculate the common denominator of 10/(-3) - (1 - (-32)/8) and 20*(0 + (-5)/(-8)).
6
Calculate the common denominator of 3/(-21)*(-644)/(-216) and -41/18.
54
What is the common denominator of (-77)/24 + -18 + 19 and -109/6?
24
Let m(y) = -y**3 - 3*y**2 + 19*y + 138. Calculate the lowest common multiple of 66 and m(-6).
132
Suppose -10*h + 9*h = 11. Let j = 13 - h. What is the lowest common multiple of 21 and j?
168
Suppose -8*b = -85 - 43. Calculate the least common multiple of b and 118.
944
Let h(d) = -d**3 - 7*d**2 - 2*d - 5. Suppose 0 = -2*u - u - 4*m - 33, 0 = -u + 5*m + 8. Calculate the smallest common multiple of h(u) and 8.
72
Let a = 245/86 - 40943/14319. Find the common denominator of a and -71/8.
2664
Let l = -10 - -14. Suppose 0 = -4*h - 3*a - 391, -h + 0*a = -l*a + 74. Let v = h - -357/4. Find the common denominator of v and -3/4.
4
Let z be 25/((-45)/10 - -4). Let t = 52 + z. Let n = 0 + 3. What is the lowest common multiple of n and t?
6
Let m = 163 + -645/4. Calculate the common denominator of 59/8 and m.
8
Let f = -13807/6 - -22