culate the least common multiple of g(1) and 78.
234
Let f(k) = k**3 - 3*k**2 - 2*k - 1. Let q be f(3). Let a be (q - -6)/(1/(-8)). Calculate the common denominator of 6/a - (-16)/24 and 55/2.
12
Let p be (-10)/(-15)*(-18)/2. Let w(s) = s**3 + 5*s**2 + 4*s + 1. Let t be w(-3). Find the common denominator of t/5 + p/10 and -13/11.
55
Let d(q) = -q. Let l be d(-2). Let x be 9/l*(-2)/(-3). Suppose -5*v = -x*j - 69, 0*v + 3*v - 4*j = 48. Calculate the least common multiple of v and 2.
12
Let w(s) = 5*s + 7 - s**2 - 2*s - 2*s. Let r(l) = -l**3 - 4*l**2 + 2*l - 4. What is the least common multiple of r(-5) and w(0)?
77
Let z = 6953/20 + -347. Let u = 31/2 - 3. Calculate the common denominator of z and u.
20
Calculate the common denominator of -1/15 and 1 + (-291)/72 - (-10 - -7).
120
Let u = -372677/57 + 6538. Let x = -1009/798 - u. Calculate the common denominator of x and -53/10.
70
Suppose 14 = -2*n + 4*n. Suppose 32 = -3*w + n*w. What is the lowest common multiple of w and 12?
24
Calculate the common denominator of (10/36*-3)/(1/11) and -7/58.
174
Suppose -15 = -4*s - 3, -4*j = 4*s + 7240. Let y = 3713/2 + j. Calculate the common denominator of y and -54/5.
10
Let x = 5 + -2. Suppose 0 = 5*s - 7 - x. Let w = -26 - -36. What is the lowest common multiple of w and s?
10
Suppose -5*q = 2*m - 102, q + 5*m = 1 + 1. Calculate the smallest common multiple of 2 and q.
22
Calculate the common denominator of -41/22 and ((-21)/(-56))/(6/4).
44
Let z be (40/(-6))/((-2)/9). Suppose 4*y = -y + z. What is the smallest common multiple of (2 - 1) + 6 - 1 and y?
6
Let c(f) = 37*f**3 - f. Let t be c(-1). Calculate the common denominator of 39/8 and -2 - ((-34)/t + 0).
72
Let x = -4383665/14 - -939763/3. Let s = x + -382/3. Calculate the common denominator of 97/8 and s.
56
Suppose 0 = -4*t + 4*f + 52, -t - 4*f + 2 = -11. Let z = t + -6. Calculate the lowest common multiple of 11 and z.
77
Let p(n) = -n. Let r be p(-1). Suppose -11 = -3*b + r. Calculate the least common multiple of 18 and b + 2 - (0 + 0).
18
Let w be -2 - (1 - 3 - -987). What is the common denominator of 47/2 and (4/14)/(72/w)?
12
Let d be 3/5*(-42985)/(-6285). Let k be (-9)/2514 + 0/(-1). Let x = k + d. Find the common denominator of x and 61/6.
30
Let x(u) = 3*u - 2. Let v be x(4). Calculate the common denominator of (12 + 2)*v/(-24) and 375/(-126) + (-1)/(-3).
42
Find the common denominator of (-30)/(-72)*356/(-30) and ((-52)/(-16) - 3)*-106.
18
Let k = 3/2 + -53/4. What is the common denominator of k and 1/26?
52
What is the smallest common multiple of 7 and 12/16 + 2/8?
7
Let y(z) = z**3 + 7*z**2 - 2. Let v = -12 - -5. Let o be y(v). Find the common denominator of o/11 + 125/55 and 43/7.
77
Let j = 41/24 - -11/12. What is the common denominator of j and (-891)/44 - (-1 + -1)?
8
Let y be 24/(-16) + (-49591)/22. Let p = -2260 - y. Calculate the common denominator of p and (-730)/(-16)*4/(-10).
44
Suppose 2*w = -2*j + 42, -3*j + 4*w - w + 57 = 0. Let z be j/(-3)*(-2 - 1). Suppose 0*b = 2*b - z. What is the lowest common multiple of 5 and b?
10
Calculate the lowest common multiple of 212/12 + (-2)/(-5 + -1) and 8.
72
Let b(k) = k**3 - 9*k**2 + 2. Let f be b(9). What is the lowest common multiple of (-32)/(-40)*15/f and 1?
6
Let k(r) = r**2 + 5*r + 5. Suppose -3*f - 14 + 2 = 0. Let a be k(f). What is the common denominator of 67/6 and 2 - (a + (-38)/44)?
66
Let k = -2179/7 - -310. Calculate the common denominator of k and ((-28)/11 + 3)/1.
77
Let n = -367 - -2610. Let b = 1015095/4 + -9216581/36. Let o = n + b. What is the common denominator of 139/6 and o?
18
Suppose 3*k + 0*o + 6 = -3*o, 2*k = -3*o - 9. Suppose 3*w - 3*a = 7*w - 25, k*w - 20 = -2*a. What is the least common multiple of 20 and w?
20
Calculate the smallest common multiple of 16 and 6 - ((-5)/3 - -2)*6.
16
Let y(i) = -i**3 + 7*i**2 + 9*i - 5. What is the least common multiple of 1 and y(8)?
3
Suppose 0 = -3*u + 24 + 12. Calculate the least common multiple of 30 and u.
60
Suppose 0*q + 2*q - 25 = -3*l, 4*l + 60 = 2*q. What is the least common multiple of q and 8?
40
Suppose -5*r + 3*r = 18544. Let q = r + 111119/12. Let t = -8811 - -88231/10. What is the common denominator of q and t?
60
Let b = -5 + 5. Suppose b = -r + 6*r - 60. Let x(c) = -c**2 + 7*c + 4. Calculate the smallest common multiple of r and x(7).
12
Let y(n) be the first derivative of n**3/3 + 5*n**2/2 + 2. Let q be y(-5). Suppose q = -w - 3*w + 56. Calculate the least common multiple of w and 12.
84
Suppose -g + 18 = 4*t, -4*t + 54 = 3*g + t. Calculate the lowest common multiple of 4 and g.
36
Let z = 7 - -1. Let j(a) = 8*a**2 + a + 1. Let n be j(2). Suppose k + 15 = n. What is the smallest common multiple of k and z?
40
Let s be 2 + -5 - (-4348)/(-4). Let j = s + 11999/11. What is the common denominator of j and 43/7?
77
Let i be (6566/6)/((-10)/6). Let j = 661 + i. Find the common denominator of -64/9 and j.
45
Let b = 2/125 + 617/500. Let u = 1211 - 821. Let q = u - 3167/8. Calculate the common denominator of q and b.
8
Suppose 14*x - 6 = 12*x. What is the lowest common multiple of x and (-1 + 2)/(2/6)?
3
Suppose 0*n - 2*n + 9 = i, 3*i = -5*n + 23. Suppose 3*s + 2*b + 44 = 0, 3*s = s + n*b - 24. What is the common denominator of -33/16 and ((-13)/5)/(s/(-5))?
112
Let o be 1/2 - (-14)/(-4). Let x be (-5)/(-15) - 125/o. What is the common denominator of 2/11 and ((-3)/x)/((-1)/(-4))?
77
Let m be -2 - ((2 - 2) + 0). Let q = m - -11. Suppose 8*k + 40 = 80. Calculate the smallest common multiple of k and q.
45
Let r(n) = 2*n**2 + 11*n + 36. What is the lowest common multiple of r(-6) and 10?
210
Calculate the lowest common multiple of (-24)/10*90/(-12) and 4.
36
Let h be (3 + -2 + -7)/(-2). Calculate the least common multiple of 6 and ((-2)/h)/(4/(-18)).
6
Find the common denominator of -4*-13*(-3)/(-36) and -53/24.
24
Let p be (-129)/(-990) + (-1)/3. Let o = -175/33 - p. Find the common denominator of 95/16 and o.
80
Let l = -105/4 + 463/12. Calculate the common denominator of l and (319/(-176))/((-1)/(-4)).
12
Let m = 521/8 + -127/2. Let g = -1478 - -11809/8. What is the common denominator of g and m?
8
Let f = 64724/9 + -534775/72. Let m = f - -235. Calculate the common denominator of m and -35.
8
Suppose -4*z + 177 - 153 = 0. What is the lowest common multiple of z and (2 - 1)/(1/10)?
30
Let r = -16 + 17. Let l = 262667/79590 - 2/7959. Find the common denominator of 158*r/8 + 0 and l.
20
Let i = -2419/4 + 598. Calculate the common denominator of -1 + (-86)/18 + 0 and i.
36
Let z = 34/5 + -293/35. Find the common denominator of z and 16/9.
63
Let q = -117 + 247/2. Let m = q + -35/4. Calculate the common denominator of -58/9 and m.
36
Let p = 4 + 16. Calculate the common denominator of 35/2 and 2 + (194/p)/(-1).
10
Find the common denominator of 0/2 + (-36)/(-22) and (-83)/(-9) - 4/2.
99
Calculate the least common multiple of 230/50 - 6/10 and 8/(-5)*20/(-8).
4
Let u(l) = -l**3 + 5*l**2 + 5*l - 1. Let c be u(6). Suppose 5*v + 250 = 2*f, 2*v + 0*f = 2*f - 94. What is the least common multiple of 18 and (-2)/c - v/14?
36
Let r = -15/1388 + 14663/1228380. Let o = -21532/2655 - r. What is the common denominator of o and 18?
9
Let n = 15 + -7. Let k(m) = m**2 - 6*m - 11. What is the lowest common multiple of 5 and k(n)?
5
Let u(c) = c**3 - 10*c**2 + 9*c + 20. Calculate the smallest common multiple of u(9) and 144.
720
Suppose 63 = 4*n + 15. Let t = 15 - -11. Suppose -2*p - 2 = u, 4*p + t = 5*u + 2*p. What is the lowest common multiple of u and n?
12
Let z = -1/570 + -1171/380. Find the common denominator of 11/45 and z.
180
Let y(t) = -2 + 4*t**2 - 1 + 2*t + 1. Suppose 4 = 2*f + k, -f - 2*k + 1 + 1 = 0. What is the smallest common multiple of y(2) and f?
18
Calculate the common denominator of 110/44*(-152)/15 and 10/27.
27
Calculate the common denominator of 7/70 - 606/(-40) - 4 and 417/(-8)*6/(-27).
12
Suppose -4*l + 20 = 2*y, -3*l + 16 = 2*y - 0*l. Let c(k) = -k**2 + 6*k - 7. Let s be c(4). Suppose -9 = -q - s. What is the smallest common multiple of y and q?
8
Let c = 39751 + -2345444/59. Let x = c - -4325/472. Calculate the common denominator of -1 - (3 - (-4 - (-220)/72)) and x.
72
Let v = 7537/8 + -946. What is the common denominator of v and (-206)/2*1/(-6)?
24
