 Let p = o + -8/11. Find the common denominator of 85/6 and p.
42
Suppose -31 = 4*a + 25. Let f be 2/a*30*-7. Suppose 5*p = f + 20. What is the least common multiple of p and 5?
10
Let q = 7982821 - 335242021/42. Let h = 2623/3 - q. What is the common denominator of h and 61/10?
70
Calculate the common denominator of -8 and ((-1)/(-1))/(39/(-153)).
13
Let c be 23/6*-1*-2. Let s = 145/12 - c. Calculate the common denominator of s and 47/22.
132
Let i be ((-2)/(-5))/((-2)/(-5)). Calculate the common denominator of 16/(-24)*38*i and -46/7.
21
Let v = 22 - 37. Calculate the common denominator of v and 1/7.
7
Let m = -12 - -22. Suppose -d + 1 + 3 = 0. Suppose -2*z = -h - 15, -d*z - 6*h + 45 = -3*h. What is the lowest common multiple of z and m?
90
Let d = -41717/8 - -5202. Let k be (-4)/(-6)*(-6)/(-4). What is the common denominator of (k - (-18)/(-15))*24 and d?
40
Suppose 0 = 2*j + 3*j - 485. Suppose -3*v + 5 = -j. Calculate the common denominator of -1 - -1*v/18 and -62/3.
9
Let x(m) = -m**3 + 3*m**2 + 3*m - 1. Let o(b) = -b**3 + 3*b**2 + 13*b - 5. Calculate the lowest common multiple of o(5) and x(2).
90
Let u = 3 + -2. Suppose v + 1 = -u. Let h = v - -24. Calculate the least common multiple of h and 18.
198
Suppose 3*s - s = -100. Let a = 247837/3 + -81637. Let n = -950 + a. What is the common denominator of s and n?
3
Let z be (-4)/2 - 11444432/(-26262). Let r = -2/1459 + z. Let x = r + -432. Find the common denominator of 123/10 and x.
90
Find the common denominator of -2 + ((-174)/15)/2 and 43/11.
55
Suppose l + 0*l - 5*o - 27 = 0, o = -l + 45. Calculate the lowest common multiple of 6 and l.
42
Let x = -5696/9 + 630. Find the common denominator of (14/(-3))/((-44)/42) and x.
99
Let t(q) = 5*q**3 + q**2 - 2. Let k be 2/5*(4 - -1). Let y be t(k). What is the smallest common multiple of 1/(y/20 - 2) and 4?
20
Let l = -291354577/168798 + -202/12057. Let x = -1731 - l. What is the common denominator of x and 1/8 + -1 + 1?
56
Let l(v) = -15*v**2 - v. Let k(t) = -29*t**2 - 3*t. Let b(q) = 2*k(q) - 5*l(q). What is the least common multiple of 8 and b(-1)?
72
Let z = -2591/4 + 652. Suppose 0 = -4*v - 8, -5*a - 2*v = -2*a + 1. Calculate the common denominator of (-90)/25 + a*-1 and z.
20
Let g be 3/((-5)/(250/(-3))). Suppose -g = -z - 4*z. Calculate the least common multiple of 11 and z.
110
Let y = 212 - 144. Calculate the common denominator of -95/8 and 6/4*y/42.
56
Let n(d) = d**3 + 3*d**2 + d - 2. Let q be n(-2). Suppose 0*w + 5*w - 45 = q. Calculate the least common multiple of 9 and -1*(1 + w/(-1)).
72
Suppose -4*p - 2*k + 16 = 0, 3*k = 4*p - 6 - 30. Calculate the least common multiple of p and 12.
12
Let l = -7 + 12. Let w = 11 + -7. Suppose 2*g + 3*i - 17 = 0, -3*i = -w*g + 9 + 16. Calculate the least common multiple of g and l.
35
Suppose -5*f + 11 = -9. Calculate the least common multiple of 3 - (f - -1) - -5 and 7.
21
Let d(j) = 4*j - 3. Calculate the lowest common multiple of 1 and d(2).
5
Let u = 0 - -15. Suppose -2*l + 47 = u. Suppose -z + 16 = -0*z. Calculate the lowest common multiple of l and z.
16
Suppose -4 = -2*u + 4*u. What is the common denominator of (-1)/4*(-174)/(-1) and (-82)/(-4)*u/(-5)?
10
Suppose -5*v + 8 = z, v + 4*v = z + 2. Let s(p) = -p**3 + 13*p**2 + 14*p + 8. Calculate the smallest common multiple of s(14) and z.
24
Let i = 3929514521386357/361329717703704 - -1/6730176533. Let r = -1/6711 + i. What is the common denominator of (-2)/8 + 315/(-108) and r?
24
Let k(q) = -q**3 + 6*q**2 + 6*q + 5. Let f be k(7). What is the least common multiple of (1 - f)/((-12)/(-64)) and 20?
80
Find the common denominator of 49/22 and (-13)/26 + (-26)/(-8).
44
Let i be 231915/25*(-2)/(-24). Let a = i - 772. Find the common denominator of a and 13/(-4)*(4 - (-14)/(-6)).
60
Let a(u) = -u**3 - 5*u**2 + 5*u - 2. Let t be a(-6). Suppose t*r = -0*r - 104. Let m = r - -87/2. Calculate the common denominator of m and -55/2.
2
Suppose 33 = -3*t + 6*t. Calculate the least common multiple of t and 10.
110
Suppose -5*r = -a + 17, r + 0 - 5 = -4*a. Suppose 0 = a*j - 40 + 4. What is the lowest common multiple of j and 20?
180
Let r(c) be the first derivative of -3*c**2/2 - c + 2. What is the lowest common multiple of 8 and r(-2)?
40
Suppose -12*q + 9*q = -36. Calculate the least common multiple of 6 and q.
12
What is the least common multiple of 880/154 - (-4)/14 and 16?
48
Let k = -179 + -79. Calculate the common denominator of (k/8)/(2 + 1) and ((-1115)/225 - (-4)/10) + 0.
36
What is the common denominator of -31/9 and 45/75 + (-136)/35?
63
Let f = 623 + 77. Suppose -6*d + f = -d. Find the common denominator of 101/4 and (-1 + 3)/(d/(-861)).
20
Suppose o - 42 = -3*o - 2*j, 2*j + 22 = 4*o. Calculate the least common multiple of o and 22.
88
Let g = 4 - 4. Let b(r) = -r - 1. Let u be b(g). What is the smallest common multiple of 2 - 18*(u - 0) and 14?
140
Let o = 71 + -59. Let i = 1 + 1. Calculate the smallest common multiple of i and o.
12
Let z(d) = d**2 + 5*d - 8. Let s(f) = f**2 - 2*f - 4. Let i be s(3). Let q = -8 - i. Calculate the lowest common multiple of 8 and z(q).
24
Suppose 0 = a - 28 + 6. Calculate the smallest common multiple of 22 and a.
22
Let c = 3313 + -13337/4. Find the common denominator of c and 73/9.
36
Suppose 2*r - 18 = -3*r - x, -r + 4*x = 9. What is the least common multiple of r and 2?
6
Let f = -31 + 247/8. Calculate the common denominator of 123/110 and f.
440
Suppose -n + c = 10, -30 = 4*n + n - c. Let d = n - -13. What is the smallest common multiple of d and 2?
8
Let z be (-16)/3*(8 - 14). Calculate the common denominator of -43/4 and (-332)/z - 2/(-4).
8
Let c = 3755 + -41341/11. Find the common denominator of 21/(-98)*240/9 and c.
77
Let z be (-1)/((-3)/(18 + 0)). Let t be z*-2*1/2. What is the common denominator of (4/(-3))/((-5)/t) and -39?
5
Let h = 5/942 - -19489/10833. Find the common denominator of 7/16 and h.
368
Calculate the least common multiple of (2/4)/((-1 + -1)/(-120)) and 21.
210
Let f be (-114)/(-69)*(-2)/8. Let l = -1805/138 - f. Find the common denominator of (66/8)/((-3)/(-14)) and l.
6
Let m = -183/7 - -2581/84. Calculate the common denominator of m and 20.
12
Let r = -77 + 70. What is the common denominator of r and (-8)/20 + (-602)/(-30)?
3
Let r = 13 + -7. Suppose v + 0*v - 16 = -3*w, 3*w = r. Calculate the smallest common multiple of v and 5.
10
Let v be ((-39)/335)/(8/1270). Let t = 18/67 - v. Calculate the common denominator of -57/4 and t.
4
Let x be ((-3)/4)/((-1)/8). Find the common denominator of 2842/560 - (-2)/15 and x*(1 + (-23)/4).
24
Let n(f) = -25*f - 10. Let j be n(-4). Suppose -9*p = -4*p - j. Calculate the lowest common multiple of p and 4.
36
What is the common denominator of (-42)/(-22)*(-70)/(-30) and 31/7?
77
Let i be (4/(-6))/((-4)/192). Suppose 2*p - i = -2*p. What is the smallest common multiple of p and (-8 + 9)*(-2)/(-2)?
8
Suppose 5*h + 5*j - 205 = 0, -j + 56 + 165 = 5*h. Let v = h - 29. Calculate the smallest common multiple of v and 3/(9/48*2).
16
Suppose 4*b = -3*l + 42, 4*b + 5*l = 23 + 23. Calculate the smallest common multiple of 4 and b.
36
Let n = -1143956286/17 - -201459963979/2992. Let c = -605865/16 + n. Let i = 3461 - c. What is the common denominator of i and -11/6?
66
Let k = 4162 + -45824/11. Find the common denominator of ((-33)/(-9))/((-9)/3) and k.
99
Let r be 1106/16 - 16/128. Calculate the common denominator of -17/14 and r*(-20)/168*-1.
14
Suppose -2*v = -5*v - 18. Let b(t) = t**3 + 7*t**2 + 7*t + 7. Calculate the lowest common multiple of 5 and b(v).
5
Let p(r) = r**3 - r**2 + 9*r - 1. Let t(g) = g**3 + 8*g - 1. Let c(k) = 4*p(k) - 5*t(k). Calculate the least common multiple of 8 and c(-3).
8
Let z(h) = h - 2. Let o(q) = q - 1. Let v(k) = -5*o(k) + 2*z(k). Let y be v(1). Calculate the lowest common multiple of (-122)/(-10) + y/10 and 22.
132
Suppose 0 = 2*u - 10, -2*u - 2 = -4*q + 16. Suppose -5*l = 2*j - 40 - q, -4*j + 69 = 5*l. Calculate the lowest common multiple of j and 7.
77
Let s = -1469 - -8939/6. Calculate the common denominator of 2/(-5) + (-237)/(-30) and s.
6
Let g be 31906/88 - 6/(-33). Let z = g - 13109/36. Find the common denominator of (-10)/8*22/(-10) and z.
36
Let u = 100 - 21. What is the common denominator of ((-7)/(-8)