6. Let g = 731/88 - z. Calculate the common denominator of 59/3 and g.
24
Let d = 278 - 268. Calculate the least common multiple of d and (4/5)/((-4)/(-10)).
10
Suppose n = -2*y + 7, -3*y = -4*n - 0*y + 17. Calculate the least common multiple of n and 8.
40
Let o be 404229/(-36) - (-2)/(-4). Let q = o - -11238. Let j = -303/148 - 9/592. What is the common denominator of q and j?
48
Let i = -1831/3 - -601. Calculate the common denominator of i and 73/33.
33
Let v = -3/88 - -961/440. Let s = -764 - -3021/4. Calculate the common denominator of s and v.
20
Calculate the common denominator of 1/30 and 232/78 - (-9 - (-91)/7).
390
Suppose -4*f = -1 - 23. Suppose 6*r - 40 = 4*r. What is the smallest common multiple of r and f?
60
Let q(w) = -w - 3. Let b(t) = -32*t**3 - t + 3. Let d be b(3). Let j = d + 6923/8. Find the common denominator of j and q(6).
8
Suppose 21*j - 28 = 14*j. Calculate the least common multiple of j and 15.
60
Let i be (-2)/(-4)*(-12)/(-3). Suppose -3*f = p - 11, 4*f - 5 - 13 = -i*p. What is the common denominator of 53/7 and 2/f + (-57)/12?
28
Let b = 12 - 2. Let s(t) = -t**3 + 9*t**2 + 10*t + 4. What is the smallest common multiple of 6 and s(b)?
12
Suppose 2*n - p = 3*n - 21, 0 = -4*n - 5*p + 85. Suppose -4*i = -n - 24. What is the smallest common multiple of i and 5?
55
Calculate the least common multiple of 33 and (18/(-4) + 0)/(2/(-12)).
297
Let c = -2866/45 - -299/5. Find the common denominator of ((-1)/1)/(9/(-177)) and c.
9
Let l = -8375/3546 - 16/591. Calculate the common denominator of 25/72 and l.
72
Let f be (7/(-14))/(23/(-4)). Let c = 290/161 - f. Calculate the common denominator of -32/9 and c.
63
Let w(p) = -p**3 + 5*p**2 + 7*p + 3. Calculate the least common multiple of 3 and w(6).
9
Let a = -341/232 - 48/29. Suppose 4*z = 12, -z - 4*z + 171 = 4*y. Find the common denominator of a and y + 3 + 2/(-2).
8
Let q = -23 + 37. Calculate the least common multiple of q and 4.
28
Calculate the common denominator of -139/6 and ((-1)/(-5))/(18/342).
30
Let q(v) = -v**2 - 17*v + 12. Calculate the lowest common multiple of q(-17) and 14.
84
Let g = 572 + -5713/10. Find the common denominator of g and -39.
10
Let t(h) = -h + 12. Let c(i) = -8*i - 1. Let v be c(-1). What is the least common multiple of t(v) and 11?
55
Let n be (-695)/(-4)*8/6. Let f = n - 10973/48. Calculate the common denominator of (-2)/(1 + 110/(-102)) and f.
16
Let y(a) = -a**2 + a - 1. Let j(x) = x**3 - 6*x**2 - 8*x + 10. Let d be j(7). Let p be y(d). Calculate the smallest common multiple of 2/7 - 26/p and 6.
12
Calculate the common denominator of (404/(-50))/(16/(-20)) and 81/4.
20
Suppose 2*y + 4*i - 10 = 0, 5*y - 6 - 11 = -2*i. Suppose 3*c + 141 = y*k - k, -3*k + 217 = c. Calculate the common denominator of -111/22 and 2/k*(2 + -120).
198
Let j(a) = a**2 - 8*a + 23. Calculate the lowest common multiple of 18 and j(9).
288
Let a = 13/70 - 1601/140. Calculate the common denominator of a and ((-1)/(-2))/((-5)/69).
20
Let y = 5 + -2. Suppose 12 = y*f, -m - f + 2 = -5. Calculate the common denominator of m*1/(-14) + -1 and -83/20.
140
Let i be 1*(-2 - -2)*1. Suppose i = 3*r + 4*m - 64, 0*m = m + 2. Suppose 4*b = -0 + r. What is the lowest common multiple of 10 and b?
30
Suppose 0*j + 15 = 5*j, -2*g - 5*j = -43. Calculate the lowest common multiple of g and (-16)/(-10) - (-8)/20.
14
Let v be 1/2 - 42/(-4). Let l = 21 - v. Calculate the lowest common multiple of l and 14.
70
Suppose 4*d = -17 + 33. Calculate the smallest common multiple of 6 and d.
12
Suppose 5*d + 4*p - 8 = 0, -3*d + 2 = 4*p - 6. Suppose 4*n - 12 + 0 = d. What is the smallest common multiple of n and 10?
30
Find the common denominator of 145/12 and ((-14)/360)/(5*6/60).
180
Suppose 4*g + 402 = 2*a, -4*a + 3*a = -g - 101. Let q = -497/5 - g. Calculate the common denominator of q and 53/5.
5
Suppose 0 = -5*u + u + 584. Calculate the common denominator of ((-66)/(-8))/((-18)/20) and u/(-24)*12/16.
48
Let y = 1 + -2. Let p(s) be the third derivative of -5*s**4/12 + s**3/6 + 5*s**2. What is the lowest common multiple of 4 and p(y)?
44
Let h be -2*2*(-1)/2. Let o = 1521/10 - 152. Find the common denominator of o and h/(-24)*(-189)/(-5).
20
Let n(h) = -7*h + 2. Let i be n(-3). Let b = 61/37 - 2911/666. What is the common denominator of i/18 + (-1)/(-3) and b?
18
Suppose 5*g - 55 - 15 = 0. Calculate the lowest common multiple of 8 and g.
56
Suppose 11 = -4*u + 27. What is the lowest common multiple of 4 and u?
4
Let z = -14 - -10. Let q(x) be the first derivative of -x**3/3 - 2*x**2 + 4*x + 1. Calculate the least common multiple of q(z) and 7.
28
Let h(l) = -l**2 + 33*l - 252. Suppose 5*z = 4 + 6. Calculate the least common multiple of z and h(16).
20
Let l = -2509/72 + 335/9. Calculate the common denominator of l and 9/16.
16
Let w = -33 - -25. Let m = w + 19. Suppose 21 = 5*y - 14. What is the smallest common multiple of m and y?
77
Suppose 17*o - 14*o - 117 = 0. Calculate the lowest common multiple of o and 12.
156
Let o(x) = -720*x + 1. Let u be o(-1). Suppose u = -2*v + 223. What is the common denominator of 83/6 and 1 - (v/36 - 1)?
12
Let h = -2910/13 - -30257/130. Calculate the common denominator of -85/4 and h.
20
Let s = 1/191 + -403/4011. What is the common denominator of -1/30 and s?
210
Let y = 8 - -18. Let j be -8 - 2*-1 - 2. Let c = j + y. Calculate the lowest common multiple of 22 and c.
198
Let x be (2 + 4)*(-4)/(-6). What is the common denominator of -127/12 and (1 - x) + (-154)/(-24)?
12
Let a(f) = f**3 - 6*f**2 + 6*f + 5. Suppose -3*l - z = -8, -4*z + 2*z + 4 = 0. What is the lowest common multiple of a(5) and l?
10
Let d = -2 + -3. Let h be (2 - d) + 0 + -2. Let j = h + -1. What is the least common multiple of 10 and j?
20
Suppose o + 5*q = 24, -q + 26 - 6 = 4*o. Calculate the least common multiple of (-2)/o + 23/2 and 1.
11
Let w = 3/22 + 549/88. What is the common denominator of w and -85/16?
16
Let i = -1935/5438 - 353426179/54380. Let x = i + 6498. What is the common denominator of x and -55/18?
180
Let x = 55653/28504 + -1/12216. Calculate the common denominator of -43/3 and x.
21
Find the common denominator of -2/3 and 2 - 4/((-36)/(-111)).
3
Let o be 1*7*2028/(-14). Let l = o + 3001/3. What is the common denominator of -79/10 and l?
30
Suppose 2*r = -0*r - 2. What is the lowest common multiple of 8 and (-1 - -3)/(r/(-2))?
8
Suppose 2*b = -2*l + 19 - 5, 0 = 3*l - 15. Calculate the lowest common multiple of b and (-4)/((-60)/141) - (-27)/45.
10
Let x be 2/(-1198)*(0 + 1). Let w = -14381/2995 - x. Find the common denominator of w and 69/4.
20
Find the common denominator of ((-44)/(-42))/((-18)/27) and 69/2.
14
Let q(g) = g**3 + 17*g**2 - 39*g - 18. What is the lowest common multiple of q(-19) and 78?
78
Let h be (-1)/3 - (-44)/6. Suppose 3*i = 2*i + h. Calculate the smallest common multiple of 6 and i.
42
Let l(s) = -s**3 + 4*s**2 + s - 4. Let f be l(4). Suppose f = i - 2*h - 14 + 2, h = 2*i - 15. Let a = -9 - -19. What is the lowest common multiple of i and a?
30
Let u be 1 - ((-1064540 - -2) + 0). Let p = 93681123/88 - u. Let b = p - 232/11. Calculate the common denominator of b and -28/3.
24
Let u be ((-10)/8)/((-6)/48). Let d(m) = m - 6. Calculate the lowest common multiple of d(u) and 10.
20
Calculate the least common multiple of 44 and (216/48)/((-1)/((-8)/3)).
132
Let p be 12/54 - 7/(-9). Suppose r + p + 1 = 0. Calculate the common denominator of -9/11 and r - 0 - (-110)/(-4).
22
Let y = 336 + -159. Let q = 85 + y. Find the common denominator of (-2)/(-8) - q/(-24) and 111/22.
66
Let k(j) = j**3 + 7*j**2 - 2*j + 4. Suppose 5*n = -0*n - 35. Suppose -3*c = u - 33, -6*c = -4*u - 4*c + 62. What is the lowest common multiple of k(n) and u?
18
Suppose 2*l + 2*l - 40 = 0. Suppose -3*t + n = 5*n - 73, -t - 5*n = -28. What is the lowest common multiple of t and l?
230
Calculate the common denominator of -41/7 and 1*332/(-32) - -2.
56
Let g = -3303 - -5179. Let i = 22423/12 - g. What is the common denominator of -85/22 and i?
132
Let q = 0 + 1. Let o(v) = 8*v**3 + v**2. Let z be o(q). Let w = -7 + z. What is the least common multiple of 8 and w?
8
Let c(f) = f**2 + 11*f + 14. What is the common denominator of c(-4) and 1 - 1 - 17/(-3)?
3
Let w = -2082 - -16685/8. Let c = -