. Let t(l) = l**2 - 11*l + 10. Let m be t(10). Suppose m = p - w. Calculate the least common multiple of 7 and p.
14
Calculate the common denominator of -51/10 and ((-8)/(-20))/((-8)/(-42)).
10
Let g = -352/15 - -683/60. What is the common denominator of 95/22 and g?
132
Let p = -39/110 - 53/55. What is the common denominator of 1 - (2 + (-99)/(-24)) and p?
88
Let n = 81353 - 22372123/275. Let a = n - -16286/1925. Calculate the common denominator of a and 67/8.
56
Let p be 2/(-8) - 630/(-24). Let w = p + -10. Calculate the smallest common multiple of w and 8.
16
Suppose -4*t + 30 = t. Suppose 2*d = t*x - 3*x + 10, -10 = -x - 2*d. Suppose x = -3*p + 18 + 6. What is the lowest common multiple of p and 6?
24
Suppose -3*s - 2*z = 2*s + 8, 5*s = z - 11. What is the common denominator of s and 64/15?
15
Suppose 5*t = -7*v + 2*v - 5, -5*v + 5*t = 25. Let c(w) = -3*w - 4. Calculate the lowest common multiple of c(v) and 5.
5
Let h(o) = -10*o**3 - 2*o**2. Let p be h(-2). Let f = p - 114. What is the common denominator of (-15)/(-36)*(-57)/2 and f?
8
Let u be 18/8*(-2 - -6). Suppose 3*l + 3*h + u = 45, 4*l - 51 = -5*h. Calculate the lowest common multiple of l and ((-10)/8)/(3/(-24)).
90
Let d be 11/1 + (-1 - 2). What is the common denominator of 56/9 and (3 + 90/d)/2?
72
Let w = -254/47 - -6083/282. Calculate the common denominator of 3/4 and w.
12
What is the smallest common multiple of 3 and (-47)/(-2) + (-1)/(-2)?
24
Let p = -8493/8 - -1063. What is the common denominator of p and 12/(-42) + 884/(-42)?
24
Suppose 0 = -5*x + 2*x + 12. Suppose -2 = 4*r + 2. Let a(v) = -8*v. What is the smallest common multiple of x and a(r)?
8
What is the common denominator of 41/8 and (0 - -21)*4/60?
40
Suppose -3*m + 4*m = 1, 0 = -h + 3*m + 25. Calculate the lowest common multiple of 2 and h.
28
Suppose -3*i + 2*o - 21 = 0, 2*i + i = -o - 21. Let j(r) = r + 5. Let d be j(i). Let l(k) = -3*k. What is the smallest common multiple of l(d) and 18?
18
Suppose 2*s = -4*h - 6, 0 = s + h + 3 - 2. Let x = 4 - 2. Suppose -3*p = 3*o - 9, -2*p + x*o = -p. What is the lowest common multiple of s and p?
2
What is the common denominator of 0 + -4 + 906/60 and 31/3?
30
Find the common denominator of 55/94 and (-1)/9*759/22.
282
Let o = 920/19 - 10549/190. Calculate the common denominator of o and (-3)/(-2)*-8*23/30.
10
Suppose -4*z = -9 - 3, -3 = 3*n - 2*z. Let y be 2*2 - (3 - n). Let p = 20 - y. What is the lowest common multiple of 8 and p?
72
Let w = -67 + 77. What is the smallest common multiple of w and 14?
70
Let q = -113 + 129. What is the lowest common multiple of 3 + -2 - 1/(-1) and q?
16
Suppose 1 + 1 = z. Let q be z + 35870/24 + -2. Let s = -1496 + q. Calculate the common denominator of s and -107/20.
60
Let m be -1*((-4)/(-2) - 1). Let u = -12943/8 - -1614. Find the common denominator of 1 - m/(2/(-81)) and u.
8
Let n(s) = 13*s**2 - s. Let d be n(2). Suppose -3*u = 2*u - d. What is the lowest common multiple of 4 and u?
20
Let c = 4 + -4. Let r be c - (2 + 2163/(-156)). Let s = 86/13 - r. What is the common denominator of -31/2 and s?
4
Let h = 23 + -18. Calculate the least common multiple of h and 6.
30
Let u be 6 + 2 + (-3 - -1). Calculate the smallest common multiple of u/33 + (-126)/(-33) and 5.
20
Suppose 0*t - 2*d = 5*t - 65, -5*t + 5*d + 65 = 0. Let p = t + -5. Calculate the lowest common multiple of p and 8.
8
Let z = -17 - -24. What is the lowest common multiple of z and 2?
14
Let c be 3 + 0 + -8 + -1. Let h = -1 - c. Calculate the lowest common multiple of h and 9.
45
Suppose -3*h + 36 = 3*s, 0*s + 2*s - 60 = -5*h. Suppose -k - 2*k + h = 0. What is the least common multiple of k and 11?
44
Let k be ((-16)/20)/((-1)/5). Let j(v) = -v**2 + 5*v + 3. Let o be j(5). Suppose -u + o*u - k = 0. Calculate the smallest common multiple of u and 6.
6
Let o be 32601/(-385) - (-14)/(-49). Let v = -861/10 - o. What is the common denominator of v and -61/22?
22
Find the common denominator of 43/6 and ((-11)/3)/(-2 - (-20)/(-15)).
30
Let p be ((-2)/(-40))/((-42)/(-64925)). Let j = 711/8 - p. Find the common denominator of -91/4 and j.
12
Let z be (1 + -10)*(-2 - 6707). Let b be 3/3 - z/10590. Let k = b - -3/1765. What is the common denominator of 57/16 and k?
80
Let a = -16333 + 326583/20. Calculate the common denominator of 49/2 and a.
20
Let v = 11437 - 7291. Calculate the common denominator of 31/20 and (-4)/(-10) - v/540.
180
Suppose -2*h + t = -8490, 3*h - t + 4239 = 4*h. Let j = h - 29644/7. Calculate the common denominator of j and -21/10.
70
Suppose 4*i + 3*j = -2*j + 12, 2*i + 4*j = 6. Suppose i*z + 11 = -37. Calculate the common denominator of 23/5 and 1/(-4) - (-42)/z.
40
Let l(c) = -c + 6 + c**2 + c + 2*c + 3*c. What is the lowest common multiple of l(-6) and 6?
12
Suppose g - 30 = -2*g. Suppose -4 = -4*j - 0. Calculate the lowest common multiple of (-12)/16*-4 - j and g.
10
Let q = 3797/1740 - 14/435. What is the common denominator of q and 545/(-28) - (-6)/(-21)?
20
Suppose -3*k + 5*p + 48 - 12 = 0, -2*k = p - 24. Find the common denominator of 13/4 and 9/k + (-86)/16.
8
Let n = 51074 - 313696507/6142. Let m = 5/406994811 + 10206751489130/3749643193743. Let j = m + n. Find the common denominator of j and -47/6.
18
Let w = 2 + 3. Suppose 17 = -w*r - 13. Let y(a) = -a - 2. What is the least common multiple of y(r) and 10?
20
Calculate the common denominator of (-2)/7 - 270/(-140) and -19/62.
434
Let m = 30813 + -924253/30. What is the common denominator of 32/3 and m?
30
Let u = 1899/848 + 143/53. Let k = -4 - -73/18. Calculate the common denominator of k and u.
144
Let f(n) = -5*n - 1. Let p be f(-1). Suppose -p*s + 10 = s. What is the least common multiple of s and 8?
8
Let i = -5143 - -46336/9. Calculate the common denominator of i and -11.
9
Find the common denominator of 5 + -3 - (-38)/(-3) and 9/(-36)*(-90)/(-1).
6
Let l be 1 - -1 - 20635/(-42). Let o = -1487/3 + l. Let i = -1/264 - -1651/264. What is the common denominator of i and o?
28
What is the common denominator of 2/(-3) + (-16)/(-33) and -25?
11
Let f be -606*(-2 + 13/4). Let t = f + 710. What is the common denominator of t and -17/9?
18
What is the common denominator of -97/4 and (-19)/(-2)*6/18?
12
Suppose 2*o = 4*d - 14, -4*o = -5*d - 2*o + 19. Suppose 0 = 5*h + 2*y, -h + 2*h + 4*y + 18 = 0. Calculate the lowest common multiple of h and d.
10
Let g(s) = -14*s**3 + s**2 - 1. Suppose m + m = 5*i - 20, 0 = m + 5. What is the least common multiple of i and g(-1)?
14
Let i = 11 - 9. Calculate the smallest common multiple of 4 and i.
4
Let q(k) = k**3 + 14*k**2 + 2*k + 30. Calculate the least common multiple of 6 and q(-14).
6
Calculate the common denominator of 35/9 and 2/12*(-525)/(-14).
36
Suppose -3*n + n - 5*x + 14 = 0, -4*n = 5*x - 8. Let c be 32 + -2 - 0/n. What is the common denominator of -59/10 and (-33)/c - -2 - 0?
10
Let v be ((-1)/(-26))/(143/6295). Let u = 48/169 - v. Let w = -3141/740 + -1/185. What is the common denominator of w and u?
44
Suppose -4*t + 2*t + 5*x - 339 = 0, t = -x - 187. Calculate the common denominator of (-4)/(-6) - t/60 and 38.
10
Let o = 26423/6813 + 8/757. Find the common denominator of (-64)/21 - 2/(-6) and o.
63
Let w = 19509/10 - 1941. Let n = 152 + -287. Find the common denominator of 1/(1 + n/141) and w.
10
Let t be -26*58/(-10) + 0. Let l be 1/((-80)/12914) - 2. Let r = l + t. Calculate the common denominator of -69/8 and r.
8
Let p(o) = 60*o**2 + 6*o. Let z be p(7). Let n be (-4)/20 + z/10. Calculate the common denominator of -51/5 and (n/(-4) - -2)/(-3).
30
Let i = 2786 - 22191/8. What is the common denominator of -53/11 and i?
88
Let i(s) = s**3 + 7*s**2 - 10*s - 11. Suppose -22 = 3*x - 5*x. Suppose 3*t + 13 + x = 0. What is the least common multiple of i(t) and 8?
40
Let z be (9341/5 - -1) + -2. Let x = z + -1858. Suppose 3*t - w - 4*w + 76 = 0, -3*t + 4*w - 80 = 0. Calculate the common denominator of x and t.
5
Let t(o) = o**2 - 5*o + 5. Let j = -164 - -173. Calculate the smallest common multiple of t(6) and j.
99
Let m be (1 - (-2)/(-2)) + -40. What is the common denominator of 45/8 and -22*(3 - (-124)/m)?
40
Let g(s) be the first derivative of s**3/3 + 3*s**2/2 - 6*s - 2. Let a(i) = i**3 + 3*i**2 - 2*i - 2. Calculate the smallest common multiple of