. Let j = n + -5. Calculate the lowest common multiple of j and 9.
9
Suppose 0*v + 16 = -2*g + 5*v, -4*g + v = 32. Find the common denominator of ((-6)/g)/((-12)/(-424)) and 83/6.
6
Let n = 13 + -21. Calculate the smallest common multiple of 10 and (-1*16)/(n - -7).
80
Let g = -6328 - -101207/16. Calculate the common denominator of g and 71/20.
80
Let c(w) = 3*w**2 - 3*w - 4. What is the lowest common multiple of 8 and c(3)?
56
What is the common denominator of 19/10 and (-12)/(-30) + 469/40?
40
Let x = -53215/2 + 5534463/208. Calculate the common denominator of x and 37/22.
2288
Let z(b) = -b**2 + 5*b - 8. Let j be z(4). Let d = j - -6. Calculate the least common multiple of d and 20.
20
Let p = -6 - -8. Let z = 1/2716 + -17849/2716. Calculate the common denominator of -1 + (39/(-5) - p) and z.
35
Let h(u) = 11*u. Let k = -28 + 50. What is the least common multiple of h(2) and k?
22
Suppose 0 = -3*y + 4*t - 46 + 228, 0 = 4*t + 20. Find the common denominator of -1 + (-249)/y + -1 and 27/10.
90
Let j = -3935/9 + 444. What is the common denominator of j and 29/11?
99
Suppose -3 + 7 = 2*l. What is the common denominator of -7/2 and 13/(-2)*-7 - l?
2
Suppose -2*w = -4*w. Suppose -2*y + 2*q + 40 = -w*y, -y - 2*q + 8 = 0. Calculate the smallest common multiple of ((-9)/6)/(3/(-16)) and y.
16
Suppose -4 = -p - 3. Suppose -2*x + 1 = -p. What is the least common multiple of 9 and x?
9
Suppose 2*k = 4*j + 7 - 31, j = -3*k + 6. Calculate the least common multiple of j and 20.
60
What is the common denominator of 61/2 and 6708/1320 - 2/11?
10
Let l(s) = -s**2 + 4*s + 7. Let u be l(4). Let j(z) = z**3 - 7*z**2 + z - 3. Calculate the lowest common multiple of j(u) and 4.
4
Let b(d) = 1 - 3 + 0 - 33*d + 36*d. What is the smallest common multiple of b(1) and 7?
7
Calculate the common denominator of -65/9 and (-82)/8 + (-24)/(-32).
18
Let p(k) = -10*k**3 + k + 1. What is the smallest common multiple of p(-1) and 5?
10
Let v = 5 - 3. Let n be (-4*v/(-4))/1. What is the common denominator of -26 and 27*2/(-16)*n?
4
Let d be 1/(3/60) - -1. Calculate the common denominator of 7*(d/(-10) + 3) and -4/5.
10
What is the common denominator of (-11)/99 + (-106)/(-198) and 28/9?
99
Let y be (-10)/40 - 34/(-8). What is the common denominator of -23/18 and ((-200)/18 - -2)/y?
18
Let z = -12 + 45. Calculate the common denominator of -11/2 and z.
2
Suppose -4*o + 249 = -3839. Let f = o - 10207/10. Find the common denominator of -53/6 and f.
30
Let u(a) = -a**3 - 11*a**2 - 14*a - 10. Let q be u(-10). Calculate the common denominator of 3 + (-237)/q + 0 and 87/8.
40
Let a = 2522 - 40365/16. Find the common denominator of -67/48 and a.
48
Let g(d) = d**3 - d**2 + 4*d + 4. Let v be g(5). Calculate the common denominator of -1 + 1 - v/40 and 6/(-16)*-34 + -1.
20
Let y(t) = t**2 - 10*t + 9. Let f be y(7). Let i be (-65 + 3)*33/f. Let s = i + -184. Find the common denominator of s and -55/16.
16
Suppose -2*j - 3*f + 5 + 3 = 0, 0 = -3*f + 6. What is the lowest common multiple of 1 and j?
1
Suppose 5*u + 3*m = 37949 + 9838, 0 = 4*m - 16. Let r = -1609 + u. Let t = r + -47567/6. What is the common denominator of -37/4 and t?
12
Let m(r) = -r**3 + r**2 - 2*r + 2. Suppose 0 = 6*n - 2*n - 24. Calculate the lowest common multiple of m(0) and n.
6
Let j = 0 - -1. Suppose -j - 29 = -5*a. Suppose -2*n + 2*v + 24 - 6 = 0, 2*n + v = 15. Calculate the smallest common multiple of n and a.
24
Let d(z) = -z**2 + 5*z + 3. Suppose s = 6*s + 50. Let t = s + 21. Calculate the least common multiple of t and d(4).
77
Let x = 5 - 1. Suppose 5*u = 2*u - 4*s + 210, -u + 70 = -x*s. Suppose -u = -p - 4*p. Calculate the least common multiple of p and 20.
140
Suppose 7*f + 5 = 8*f. Calculate the lowest common multiple of 1 and f.
5
Let g = -18322/15 + 1219. What is the common denominator of g and 12/11?
165
Suppose 5*o + 6 = -2*z - 8, 5*z - 5*o - 35 = 0. Calculate the smallest common multiple of 10 and z.
30
Let f(t) = -t**3 - 7*t**2 + 8*t + 2. Let g be f(-8). Let d = g - -1. Suppose -y + 2 = -3. Calculate the lowest common multiple of y and d.
15
Let o = 12135 - 169797/14. Let i = -7602/1955 - 9/782. Calculate the common denominator of o and i.
70
Let v = -5 - -7. Let u(k) = -k + 13. Let n be u(9). Suppose h - 14 = 2*f, n*h - 70 = -2*f + 3*f. Calculate the smallest common multiple of v and h.
18
Suppose u + 3*c = -1, 0*c - 31 = -5*u + 3*c. Let i be (-42)/(-4)*(-4)/(-3). What is the lowest common multiple of i/8 - 2/(-8) and u?
10
Calculate the common denominator of ((-82)/(-24))/((-4)/12) and 48/11.
44
Suppose -4*x = -3*x - 18. Let p = -5 - -9. Suppose -p - 8 = 4*h, 5*b - 2*h = 16. What is the least common multiple of x and b?
18
Let v = -842/85 - -352/17. Find the common denominator of v and 30/7.
35
Let s(g) = g**3 - 12*g**2 + g - 7. Calculate the smallest common multiple of ((-52)/3)/(-4)*3 and s(12).
65
Let x = 18/139 + -7969/2502. What is the common denominator of -65/6 and x?
18
What is the common denominator of 4/(-24)*(-276)/(-9) and 101/6?
18
Suppose 2*l = 5*f - 32, -2*f - 3*l = -7*f + 28. Suppose -m + 3 = 2. What is the lowest common multiple of (-1)/(m/4*-2) and f?
8
Suppose -4*r + 6 = -r. Let j = -3 + 19. What is the least common multiple of 4/j + (-30)/(-8) and r?
4
Let q = 1 + 3. Suppose 0*c + 16 = q*c. Suppose 4*o - 15 = -5*h, c*o - o - 35 = h. Calculate the least common multiple of 2 and o.
10
Let x = 22 + -16. Let o = -18 + 26. Suppose 0*q + o = q. Calculate the smallest common multiple of x and q.
24
Calculate the common denominator of 59/2 and (-538)/70 + (-2)/(-7).
10
Let o = -377 + 143. Let b be 10278/(-45) + -3*1. Let l = b - o. Calculate the common denominator of 32 and l.
5
Let s = -9 - -11. Suppose -15 = -5*p + s*p. What is the least common multiple of p and 7?
35
Suppose 3*g = 203 + 199. What is the common denominator of -43/2 and 1/(-28)*g - 2?
14
Let b be (-4)/(-14) - 10/35. Suppose b = -6*c + 4*c + 4. Let v(y) = y + 4. Calculate the least common multiple of v(5) and c.
18
Let b = 10 + 68. What is the least common multiple of 2 and b?
78
Let n = -103732519/20 + 21448589/4. Let r = -175298 + n. Let d = r + -219. Calculate the common denominator of d and 83/12.
60
Suppose 4*z + 0*x - 92 = -x, 0 = 5*x - 20. Calculate the least common multiple of 22 and z.
22
Let s be (3/(-6))/(1/8). What is the common denominator of s/(-6)*186/(-16) and -26?
4
Let a(i) be the first derivative of -i**2/2 + i - 3. What is the least common multiple of 2 and a(-8)?
18
Suppose 0 = -3*v - 2*a + 19 + 13, -5*v + a + 49 = 0. Let n be 65/7 - (-2)/(-7). Suppose n = 2*o - 7. Calculate the least common multiple of v and o.
40
Let x be 2/3*(-63)/6. Let k(q) = q**3 + 6*q**2 - 7*q + 4. What is the lowest common multiple of k(x) and 4?
4
Let f be 4/(-14) + 38/(-14). Let j(z) be the second derivative of -z**4/12 - 7*z**3/6 - z**2/2 + 3*z. Calculate the least common multiple of j(f) and 4.
44
Calculate the lowest common multiple of 19 and 12*1/2 + -4.
38
Let d be (-38)/(-2) + 0/3. Let q = 107/7 - d. Let w = 2129/292 + -3/73. What is the common denominator of w and q?
28
Suppose -3*z = 239 + 40. What is the common denominator of (-3 - z/30)*4 and 11?
5
What is the smallest common multiple of -4*1*-5 - (1 + 2) and 6?
102
Let d(s) = 22*s**3 + s + 1. Let l be d(-1). Let y = l - -38. Let b(m) = m + 5. Calculate the lowest common multiple of y and b(-3).
16
Let g = 4 - 1. What is the smallest common multiple of 4 and (g - 6)*(-22)/6?
44
Suppose x = 7 + 7. Calculate the least common multiple of x and 12.
84
Let d = 264/125 - 20293/1500. Calculate the common denominator of d and 16/11.
132
Suppose -10*y - 33 = -11*y. Calculate the smallest common multiple of y and 18.
198
Let i = -13 + 18. What is the lowest common multiple of i and 12?
60
Let o = -12/647 - -30577/9058. Let t be (6158/2054 - 2) + -1. Let l = t + 72945/14378. Calculate the common denominator of l and o.
14
Let j = -5693/3 + 1914. Let d be 2 - (-1)/(344/(-8286)). Let a = d + 79/43. What is the common denominator of j and a?
12
Let d be (-13)/(-4) + 6/8. Let r = 5 + -2. What is the least common multiple of (-2)/d*(-1 - 17) and r?
9
Let a(h) = -h**2 + 4*h + 16. What is the lowest common multiple of 15 and a(6)?
60
Find the common denominator of 60/100 - (-476