46 = q*b + 6. Let i = b - 3. Calculate the lowest common multiple of 9 and i.
63
Let y(b) = -2*b**3 - 54*b**2 - b - 7. What is the lowest common multiple of y(-27) and 120?
120
Let y be ((-60)/(-9) - 0) + 2/6. Suppose -5*t - y = -67. Calculate the smallest common multiple of 33 and t.
132
Find the common denominator of 29/74 and (7 + -15)/(-2) + (-42)/(-10).
370
What is the common denominator of (-568)/426*(-1 - (-7)/24) and 35/8?
72
Let a be (4 - 44/(-6))*3. What is the common denominator of -21/5 and (-19)/8 - a/17?
40
Let j(a) = 3*a**2 + 9*a - 5. Let g be -3 - 1 - (-12)/2. Suppose 12 = g*r - 4. Calculate the least common multiple of j(-5) and r.
200
Let a be (-22441)/4807 + 4 + -1. Let h = a - -14/437. Calculate the common denominator of 79/10 and h.
110
Let t = -23585 - -1320707/56. What is the common denominator of -157/42 and t?
168
Suppose -h + 5*x = -170 + 5, -2*x = -5*h + 917. Let v = h + -181. Suppose 6 + 14 = 5*c. Calculate the least common multiple of v and c.
4
Calculate the common denominator of -5*(0 + 1) + 101/38 and 125/12.
228
Let p = -63 - -66. Suppose p*y + 20 = 7*y. Calculate the lowest common multiple of y and 11.
55
Let p(s) = -s**2 - 9*s - 11. What is the lowest common multiple of p(-6) and 70?
70
Let c(t) be the third derivative of -t**6/120 - 7*t**5/60 - t**4/2 - t**3/3 + 4*t**2. Calculate the smallest common multiple of c(-5) and 18.
72
Let g(j) = -2*j**2 + 13*j + 1. Let a be g(5). Let f = 464 - 1771/4. Calculate the common denominator of (-2 - (-38)/a)/((-6)/62) and f.
8
Suppose 0*c - 3*c - 1060 = -5*l, 4*c + 2*l = -1448. What is the common denominator of (234/40)/(24/10) and ((-9)/c)/(1/2)?
80
Let c = 295360653/37 + -3896991687743/488178. Let j = 7/733 + c. What is the common denominator of j and -121/6?
18
Suppose -4*c + 2*c = 8. Let p be 1/(c/3 - -1). Calculate the lowest common multiple of p/(12/(-14))*2 and 9.
63
Suppose -r - 12 + 10 = 0. Let i be 178/((-4)/(r - -4)). What is the common denominator of 97/14 and (2 + (-15)/10)*i?
14
Suppose -s - 180 = -6*s. Calculate the smallest common multiple of s and 4.
36
Let b = 1150696137/816484774 + -24709/23263. Let k = b - -1/1526. Calculate the common denominator of 1/8 and k.
184
Suppose n + 2*v = 2088, -60*v = -4*n - 56*v + 8340. Calculate the lowest common multiple of 22 and n.
22946
Let d = -137570 + 561973447/4085. Let c = -2961928404359441/49020 - -60422856057. Let i = c - d. Find the common denominator of 61/8 and i.
24
Suppose -u = -28 + 6. Let z = -21 - -56. Suppose 3*k = z + 31. What is the least common multiple of k and u?
22
Let k = 2791 - 13573. Let a = 194149/18 + k. Calculate the common denominator of -7/4 and a.
36
Let f(l) = l**2 + 10*l - 40. Calculate the smallest common multiple of 40 and f(5).
280
Let h = 76/5 - 43/3. Calculate the common denominator of 23/20 and h.
60
Let h be (4 - (-10)/(-3))*6. Suppose 3*o + 53 = h*q, -q - q = 5*o - 33. What is the least common multiple of q and 6?
42
Suppose 1620*n = 1621*n - 303. Calculate the least common multiple of n and 6.
606
Let n = 260 + -246. What is the lowest common multiple of (-4)/18 + 1950/27 and n?
504
Let g = -6436 - -11908. Let t = 43857/8 - g. What is the common denominator of t and 8/(-20) - (-14)/4?
40
Suppose 2*c - 11*c = -18. Calculate the common denominator of -52/69 and c*1/(-2) + -6.
69
Let b = -40199/1932 - -498/23. Let p = 387 + -1643/4. Find the common denominator of b and p.
84
Suppose -3*k + 2 = 2*b, -b = -3*k - 4*b. Suppose -2*h - k*c = -16, -3*h + 9 = -3*c - 39. Let m = -37 + 45. Calculate the least common multiple of h and m.
24
Suppose z - 3171 = -5*f, -6*f = -8*f - z + 1266. Calculate the least common multiple of 1 and f.
635
Suppose 25*h - 8*h - 1054 = 0. What is the smallest common multiple of 4 and h?
124
Suppose 0 = -0*j + 2*j - 4. Let k(d) = d**3 + 8*d**2 - 3*d - 13. Let i be k(-8). Suppose i*y = -4 + 48. What is the least common multiple of y and j?
4
Suppose -9*z = -10*z - 3. What is the common denominator of -2 + (-136)/(-36) + -3 and z*1*155/20?
36
Let k(o) = -4*o**2 - 21*o + 17. What is the lowest common multiple of k(-5) and 108?
1188
Let d = 30/5941 + -543511/570336. What is the common denominator of d and 101/48?
96
Suppose -3*i + 51 = 3*d, -d = 2*i + 2*i - 32. Find the common denominator of 6/d - (-158)/(-40) and ((-3)/(2*-9))/(10/63).
20
Let k = 117/64 - -19/64. Let u be ((-3)/(-10))/((-54)/(-355)). Let s = u + -2/9. Calculate the common denominator of s and k.
8
Let j = -23 - -25. Suppose -j*v + 80 = 3*g, 3*g - 5*v = 2*g + 38. Calculate the common denominator of 53/8 and 721/g*(-2)/(-13).
104
Suppose -6*a - 2*a = 248. Let s = a - -42. Calculate the smallest common multiple of s and 1.
11
Suppose 6*z + 28 = 4*d + 10*z, 4*z - 14 = -2*d. Suppose -22 = -2*p + 2. Calculate the least common multiple of d and p.
84
Let l = 787 - 461. Let c = 2665/8 - l. Find the common denominator of c and -71/44.
88
Suppose 3*d = -d + 4152. Let x = 4645/976 - 12/61. Find the common denominator of d/480 + 9/(-15) and x.
16
Suppose 73 + 157 = -2*t + 4*z, 0 = t - 5*z + 115. Let q be (-2)/(-12) - t/30. Calculate the least common multiple of (-1)/2 + 82/q and 20.
20
Suppose 0*l - 3*l + 33 = 0. What is the lowest common multiple of 4 - (18/8)/(18/24) and l?
11
Let h be ((-334)/384)/1 - 32/(-48). Let c = 65/192 - h. Find the common denominator of c and 113/12.
24
Let u be 3 - (0/(-1) + 7). Let h be (-4 - 5)/(6/u). Suppose h*j - 20 = 2*j. Calculate the least common multiple of 9 and j.
45
Suppose -2*a - 3*x = 11, -x + 2*x = -5*a + 5. Find the common denominator of 31/18 and 2*a - (28/(-54) + 2).
54
Let s be -2*((-9)/6 + -3). Let f = s - 11. What is the lowest common multiple of 22 and (24 - 6)/(f/(-2))?
198
Let u = 139/2 + -65. Find the common denominator of u and 37/78.
78
Let x(d) = -d**2 + 12*d - 7. Suppose -54 = -4*r + 5*n, 7*r - 57 = 2*r + n. Let v be x(r). Find the common denominator of 246/(-16)*v/12 and 73/6.
24
Let c be 4/4*(-1 + 1). Suppose c = 3*r - 2 - 10. Suppose 3*m + 0*k - 50 = -r*k, 4*k = 4*m - 20. Calculate the least common multiple of m and 9.
90
What is the common denominator of 40/11 and 22/(-14)*(-4 + 0 + 7)?
77
Let n = 22 - 19. Let b(q) = q**3 - 2*q**2 - 5*q - 3. Let f be b(4). Let k = n + f. What is the least common multiple of 10 and k?
60
Suppose -j + 3 = 10. Let i(a) = a**2 + 8*a + 9. Let k be i(-7). Let t = k - j. Calculate the least common multiple of 5 and t.
45
Let w = 64483 + -10059197/156. What is the common denominator of -29/12 and w?
156
Suppose 0 = -6*m - 12*m + 1206. Suppose 0 = 9*b - m - 5. What is the least common multiple of b and 52?
104
Let c = 8063/12296 + -125/1272. Calculate the common denominator of -23/16 and c.
1392
Let z = -1776 + -3380. Let x = 2486 + z. What is the common denominator of ((-4)/(-30))/((-72)/x) and 85/12?
36
Suppose -5*s + 132 = 4*b + 16, b = -5*s + 104. Let d(r) = 3 - 2*r + r + 2*r. What is the smallest common multiple of d(3) and s?
60
Let q = -310 - -318. What is the smallest common multiple of q and 216?
216
Let n = 227/83 - 32079/8300. What is the common denominator of n and 81/50?
100
Suppose 5*t + 0*t - 15 = 0. Suppose 167 = -t*a + 1367. Find the common denominator of 40/7 and 2/(-5)*a/(-15).
21
Suppose 3*v = v + 6. Suppose -75 = -2*l - v*l. Suppose h + 2*s - 6*s = l, -s = h. Calculate the least common multiple of h and 9.
9
What is the common denominator of (-2395)/595 - (-2)/(-17) and 34/199?
1393
Suppose -x + 5*x - 1984 = 0. Let d be (7 - 5) + (-1058)/x. Let q = d - -8/31. Calculate the common denominator of q and -91/6.
24
What is the common denominator of (-2)/(-12) + 1560/(-2952) and -49/32?
3936
Let x = 23 + -39. Find the common denominator of (-2)/(-4) - (4 - (-570)/(-24)) and 324/x + 2/4.
4
Let r(p) = p**3 + 15*p**2 + 14*p + 20. Let c be 4/(-7) - 94/7. Calculate the least common multiple of r(c) and 6 - (-1 - 0)*-2.
20
Find the common denominator of 4/14 - (-18)/7 and 151/20 + (-12)/16.
35
Let h = 1/7381 - 553609/250954. Let b = -46657/14730 + 2/2455. What is the common denominator of h and b?
102
Suppose 0*f = 5*f - 525. Suppose 36 = 4*o + 5*s + f, 3*o + 51 = -3*s. Let q = o - -30. Calculate the lowest common multiple of 10 and q.
70
Let n(p) = p**3 + 7*p**2 - 7*p - 31. Calculate the least common multiple