
Let g = 115 + 49. Suppose -5*u + 44 = g. What is the common denominator of -149/6 and (-2)/(-3) + 175/u?
24
Suppose 2*h - 17 = 3. Calculate the common denominator of 50/4 + (-2)/10 and 1 - ((-63)/h)/3.
10
Suppose x - 25 = -4*w, 4*w - 5*w + 7 = x. Let m(i) = -7*i + 1. Calculate the lowest common multiple of w and m(-1).
24
Suppose -y - 2 - 3 = 0, 4*a - 3*y - 71 = 0. What is the least common multiple of a and 18?
126
Suppose -25*w - 60 = -30*w. Let b = -4 - -2. Let y = 6 + b. Calculate the least common multiple of w and y.
12
Let c(h) = -2*h - 24. Let g = 1 + -2. What is the smallest common multiple of -1*(2 + 8/g) and c(-16)?
24
Let c = -1263 + 22723/18. Calculate the common denominator of c and -65/4.
36
Let a = 16 - -5. What is the lowest common multiple of 18 and a?
126
Let c be (-2 - 2)/(100/14). Let z = 2092931/531150 - 4/10623. Let m = c - z. Find the common denominator of m and -41/10.
10
Let z = -3262 + 12955/4. Let g = 59815335207/4049413028 + -11195/500917. Let x = g + 2/2021. Calculate the common denominator of x and z.
4
Let b(n) = 19*n - 9. Let u be b(10). What is the common denominator of 5/15 + u/(-12) and -17/12?
12
Let s = -739495/11 - -67090. Let i = s + 8720/77. Let u = -1009/63 - i. What is the common denominator of -59/2 and u?
18
What is the lowest common multiple of 18/7*126/27 and 20?
60
Let c = 22 - 15. Calculate the smallest common multiple of c and 11.
77
Let j(x) = -x**3 - 3*x**2 - 5. Let z(y) = y**3 - 6*y**2 - 2*y + 8. Let s be z(6). Calculate the smallest common multiple of j(s) and 9.
99
Let g(p) = p**2 + 9*p - 3. Let m be g(-6). Suppose 0 = -3*w - 5*o + 107, 3*o = 6*w - 3*w - 123. Let d = m + w. What is the least common multiple of 14 and d?
126
Let g = 9/559 + 36299/2236. What is the common denominator of (-46)/(-30) - 2/6 and g?
20
Let b(q) = -q**3 + 7*q**2 - 4*q - 8. Let i(m) = m**3 - 18*m**2 + 2*m - 24. Calculate the least common multiple of b(6) and i(18).
12
Let u(r) = r**2 + 2*r - 1. Let q be u(-4). Let n be ((-158761)/q)/(18/7). Let o = -8814 - n. Find the common denominator of o and 149/6.
18
Let a = 1/1282 + -55131/6410. Let v be 6/9 - 132/9. Calculate the common denominator of 355/(-42) + (-4)/v and a.
30
Suppose -y = -5*y + 88. Let h(f) = -5*f + 5. Let z(n) = 3*n - 2. Let a(q) = -2*h(q) - 5*z(q). Calculate the least common multiple of a(-2) and y.
110
Suppose -2 = 3*v - 38. Calculate the lowest common multiple of 4 and v.
12
Let u = -1026 + 10179/10. What is the common denominator of -1/10 and u?
10
Let n = 14 - 8. Suppose 0 = -j - 69 - n. Calculate the common denominator of 35/j + (-1)/3 and 33/8.
40
Let f = -330472469/4207 - -78553. Let n = f - 172509/46277. Calculate the common denominator of n and -13/3.
33
What is the common denominator of 53/8*32/(-80) and 19/12?
60
Let l = 1037/60 - 281/15. Calculate the common denominator of l and 92/6*(-4)/16.
60
Calculate the common denominator of -51/22 and 0/2 + 11/(-220).
220
What is the common denominator of ((-1)/6)/((-6)/(-172)) and ((-4)/(-50))/((-4)/(-355))?
90
Calculate the least common multiple of 3 and (-7 - 2)*(0 - 2).
18
Let y = -29546556 + 17671756. Let m = y + 2398704849/202. Let i = -2/101 - m. What is the common denominator of i and -53/7?
14
Let j be ((-4)/8 - -4)*2. Suppose j = -2*s + 3*s. Calculate the least common multiple of 2 and s.
14
Suppose -3*y + 13 = h - 0*y, 3*h + 4*y = 24. Let u(f) = f**2 + 5*f. What is the least common multiple of h and u(-6)?
12
Let d = 309/31 - 7211/372. Let i = 10 - 6. Calculate the common denominator of d and 6 + -8 - 102/i.
12
Suppose 0 = s - 5*r - 17, 2*r - r = s - 13. Let d(x) = 21*x + 2. Let t be d(2). Calculate the least common multiple of s and (-4)/(-22) - (-696)/t.
48
Let x = 3 + -2. Suppose -u + 5 - x = 0. Let r(o) = 5*o**3 - 2*o**2 + 2*o - 1. What is the least common multiple of r(1) and u?
4
Let f(u) be the second derivative of 0 - 1/6*u**3 - 2*u**2 + 1/12*u**4 + 2*u. What is the lowest common multiple of f(-3) and 24?
24
Let b(z) = -z. Let p(i) = i**2 - 3*i - 4. Let l(j) = -2*b(j) + p(j). What is the smallest common multiple of l(4) and 11?
88
Let a(s) = s**2 - 10*s + 6. Suppose z - 2*z = 0. Suppose -3*h = c + 3*c - 40, -c + 4*h - 9 = z. Find the common denominator of a(c) and -3/10.
10
Let p = 59/31 - -7483/124. Let o = 1079/20 - p. Find the common denominator of 73/10 and o.
10
Suppose 3*d = 7*d - 20. Let s be (5 - 0)*(-13 + 14). Suppose f - 3*x + 2 = 0, -d*f = -s*x - 23 - 7. What is the least common multiple of 6 and f?
30
Let p = -51/2 - -29. Find the common denominator of p and 51/4.
4
Calculate the common denominator of (-1)/6*471/11 - -4 and 119/(-10)*1/(-2).
220
Suppose 8 = 2*j + 4*l, -j = -3*l + 21 - 5. What is the common denominator of -123/20 and (-1)/j*-79 - 0?
20
Let k be -1 - (1*-3 + -1). What is the common denominator of (-2)/k + (-550)/12 and (-231)/(-8)*(-28)/105?
10
Let l = 34 - 52. Calculate the common denominator of l and (-159)/24 + 4/2.
8
Let o = -23339/6 + 3869. Calculate the common denominator of 23/30 and o.
30
Let s = 5844/7 + -832. Calculate the common denominator of s and 24/11.
77
Suppose -2*m + 26 = 8. Calculate the smallest common multiple of 4 and m.
36
Calculate the common denominator of (-486)/432*28/15 and (3/21)/(18/(-427)).
90
Let m = -845 + 7580/9. What is the common denominator of 47/9 and m?
9
Let n = -3 - -6. Let j(t) = -t**3 + 2*t**2 + 3*t + 2. Let q be j(n). What is the smallest common multiple of 7 and ((-20)/12)/(q/(-12))?
70
Suppose 0 = -10*i + 6*i - 4, 0 = 4*b - 4*i - 68. What is the smallest common multiple of b and 36?
144
Suppose 0*k + 2*k = 8. Let o(h) = h**2 + 25*h + 76. What is the least common multiple of k and o(-22)?
20
What is the common denominator of (-3 - -3) + (-65)/14 and -157/30?
210
Let y be -2*((-21)/(-6) + -2). Let p = -4 - y. What is the common denominator of p - 3*82/(-40) and -17/8?
40
Let s be ((-52)/117)/(4/(-18)). Suppose 0 = -s*b, 4*b - 11 = -3*x + 1. Calculate the smallest common multiple of 7 and x.
28
Let f be (-27)/(3 - 0) - -3. What is the lowest common multiple of 7 and 9 + (-4)/(f/(-3))?
7
Find the common denominator of 22/17 and (8/128)/(((-2)/(-324))/(-1)).
136
Let k = -75/163 + -12955/1956. Find the common denominator of -97/14 and k.
84
Let r = -1488/763 - 1270009/22890. Let d = r + 193/5. Find the common denominator of 13/6 and d.
6
Let q = -27/11 + 70/11. What is the common denominator of 71/4 and q?
44
Suppose -3*f + 5 = -3*h + 56, -4*h + 33 = 3*f. What is the smallest common multiple of h and 14?
84
Suppose 0 = 7*s - 2*s - 30. Calculate the lowest common multiple of s and 1.
6
Let r = 13685 + -273591/20. What is the common denominator of 96/560*182/8 and r?
20
Let z = 164/5 - 1247/40. Find the common denominator of 91/24 and z.
24
Let b = 11879/7320 - -2/915. Calculate the common denominator of -65/18 and b.
72
Let r = -9248 - -194266/21. What is the common denominator of 1/12 and r?
84
Let d = 21 - -23. Calculate the smallest common multiple of 4 and d.
44
Suppose k - 48 = -3*k. Calculate the least common multiple of k and 6.
12
Suppose 0 = 4*k + 3 - 11. Let f = -46 - -56. What is the least common multiple of k and f?
10
Let w(q) = -5*q - 53. What is the lowest common multiple of w(-13) and 24?
24
Let f(k) = k + 288895822952. Let m be f(0). Let h = -15967272133877239/55270 + m. Let x = -2/5527 - h. Calculate the common denominator of x and 1.
10
What is the common denominator of (14/(-40))/((-1)/6) and 29/16?
80
Suppose -5*f + 39 = 4*h, -5*f = h + h - 47. Let j(r) = -r + 5. What is the least common multiple of f and j(-4)?
99
Find the common denominator of ((-8)/60)/((-12)/(-295)) and 37/22.
198
Find the common denominator of -93/52 and (1*-11*(0 - -1))/4.
52
Let i = -18 + 14. Let w(n) = n**3 + 4*n**2 - 3*n - 4. Calculate the least common multiple of 10 and w(i).
40
Suppose -4*m = -2*l + m + 21, 27 = 5*l - 4*m. Suppose -l*c + 2*s - 10 = 44, c = -3*s - 29. What is the common denominator of c and -145/6?
6
Let v(j) = j**2 + 6*j + 2. Let h be v(-4). Let w = 43 + -39. Find the common denominator of 16/9 and w/h - (-25)/(-12).
36
Calculate the common denominator of 4 + ((-604)/256)/(2/4) and 37/28.
224
Suppose -39 = 3*i + 6. What is the common denominator of -31/20 and (236/(-70))/((-12)/i)?
140
Let s(j) = 