8
Let v be 2 + (3 - 5) - 6. Calculate the least common multiple of 4*(-9)/v*3 and 20.
180
Suppose 3*v - u - 8 = 0, 4 - 16 = -3*v + 3*u. Suppose g - 1 = -3*m, -3*m = -g - 4*g - 31. Calculate the least common multiple of v and m.
2
Let n = -43099/6 + 7160. Find the common denominator of 29/(-11) - 3/2 and n.
66
Let u(n) = 3*n**2 + n**3 - 4 + 0 + 2*n**2 + n. Suppose 0 = -q + 2 - 1. Calculate the smallest common multiple of q and u(-3).
11
Let y = 1531 - 24463/16. Find the common denominator of -91/74 and y.
592
Suppose 0 = t - 4*t + 18. Suppose -25*j + 231 = -19. What is the least common multiple of t and j?
30
Suppose -2*q + 9 + 1 = 0. Let a be 20/8*54/q. Calculate the common denominator of 23/10 and a/(-20) - (10 + -13).
20
Let s = -10 - -70. Suppose -d - 12 = l - 5*l, -5*d = -2*l + s. Calculate the common denominator of 97/2 and (-101)/d + (1 - 2).
12
Let h(q) = -q - 3. Let z be h(-6). Suppose 5*w + 7 = -z*g, 3*g + 0 - 11 = 4*w. What is the common denominator of -23/20 and (-321)/180 - w/6?
20
Let k(d) = -d**3 + 7*d**2 + 9*d - 2. Calculate the lowest common multiple of k(8) and 18.
18
Let v be 1/1 + (-5 - -2). Suppose -5*t + 15 = 5*z - 30, -t + 21 = 4*z. What is the lowest common multiple of t and (-27)/(-6) - v/4?
5
Let w(b) = -2*b + 1. Suppose 5*q + 2*v = 5*v + 7, 4*q + 5*v - 13 = 0. Calculate the least common multiple of w(-2) and q.
10
Let u = -20 + 31. Suppose 3 - 18 = -3*c. Suppose -4*g = c*n - 42, 5*n + 1 + 5 = 2*g. Calculate the lowest common multiple of u and g.
88
Suppose -418 = -3*l - c, 3*c = 3*l - l - 297. Find the common denominator of -2*l/54*1 and 47/10.
90
Let j = 13607/8 + -1711. Find the common denominator of j and -9.
8
Let v(n) = n**3 - n**2 - 4*n + 2. Let j be v(3). Suppose -z - j = z. Calculate the lowest common multiple of 20 and 34/4 - (-2)/z.
40
Let v = -3580 + 14413/4. Find the common denominator of v and -47/6.
12
Suppose -4*x = 3 - 19. What is the least common multiple of 3 and x?
12
Let w = -14 + 41. What is the lowest common multiple of 4 and w?
108
Let z(h) = -h**3 - 7*h**2 - 2*h + 6. Suppose 3*k = 5*a + 10, a + 0 = 4*k - 2. Suppose k = -5*f + 38 + 72. What is the lowest common multiple of z(-7) and f?
220
Let h be 178/14 - (-12)/42. Let x = h + -6. What is the least common multiple of 3 and x?
21
Let p(j) = -j**3 - 7*j**2 - 4*j + 7. Let x be p(-5). Let h = 12 + x. Find the common denominator of -125/6 and h.
6
Let s(t) = -t**2 - 6*t - 4. Let k be s(-3). Let y = k + -8. Find the common denominator of 548/(-48)*2/y and 7/6.
18
Let g be 4816/(-6) + (-4)/(-6). Let a = g + 7211/9. Calculate the common denominator of a and -61/6.
18
Let o be ((-12)/3393)/((-4)/(-30)). Let g = o - 9145/10556. Find the common denominator of g and -11/6.
84
Let g be 5/(-1)*4/(-20). Find the common denominator of 57/2 and 0 + g + (-11)/(-5).
10
Suppose -a + 5*p = -1, -4*a + p = -6*a + 2. Calculate the lowest common multiple of a and 20.
20
Suppose -4*m - 12 + 41 = 5*x, 4*x = 3*m + 17. Calculate the smallest common multiple of 2 - (m + 3)*-2 and 9.
90
Suppose t + 4*s + 15 - 4 = 0, 0 = -2*s - 8. Let n(b) = b**3 - 11*b**2 - 13*b + 13. Calculate the lowest common multiple of n(12) and t.
5
Let b(u) = -u**3 + 7*u**2 + 2*u - 4. What is the smallest common multiple of 1 and b(7)?
10
Suppose l + 4 = 2*l, o - 4*l = 7. Calculate the common denominator of o and 99/10.
10
What is the common denominator of 467/(-42) + 2/7 and (30/(-81))/((-4)/30)?
18
What is the common denominator of 81/189 - (1 + 9/(-7)) and -113/10?
70
What is the least common multiple of 4 and 36/(-8)*(-16)/12?
12
Let s = -1243/7 + 177. What is the common denominator of 1 - (2 - (-51)/7) and s?
7
Suppose 0 = -5*l + 23 + 17. What is the lowest common multiple of l and 108?
216
Let s = -7915/2937 + 16/89. Calculate the common denominator of 77/12 and s.
132
Let n(p) = -p**3 + 7*p**2 + p - 5. Calculate the lowest common multiple of 7 and n(7).
14
Suppose 0 = 2*s - 7*r + 4*r - 21, -3*s = 2*r - 12. What is the least common multiple of 5 and s?
30
Find the common denominator of -3 - (-5)/((-150)/153) and -1 - ((-7)/6)/7.
30
Let a = -25 + 16. Suppose q + 11 = 5*c - 34, 0 = 4*c - 4*q - 52. Calculate the lowest common multiple of c and (-2)/(-9) - 124/a.
56
Suppose 34 = 5*j - b, -4*j + 8 = -0*b + 4*b. Let v be -9*(2 - 1 - -2). Let f = 45 + v. What is the smallest common multiple of j and f?
18
Suppose -3*d + 5 = -22. Calculate the lowest common multiple of (6/15)/((-2)/(-30)) and d.
18
Let k = -3989/33 - -121. What is the common denominator of -65/12 and k?
132
Calculate the common denominator of 1/30 and 221/63 + 76/28 + -3.
90
Suppose 2*l + 3*r - 13 = -2*l, 5*l = -r + 19. Suppose -4*o = -9*o + 5. Calculate the least common multiple of o and l.
4
Let s = -528 - -3055/6. Let y = -7497/2 + 2329. Let h = y - -1375. Calculate the common denominator of s and h.
6
Let l = -310/9 - -101/3. Find the common denominator of (-3412)/(-280) - 10/35 and l.
90
Suppose -4*n + 4 = -0*n. Let s be (-1)/((-1 - n)/10). Let m(x) = 2*x + 2. What is the lowest common multiple of m(s) and 20?
60
Suppose p + 45 = 2*v, v = p + 2*v + 33. Let m = -7 - p. Find the common denominator of m and 17/10.
10
What is the common denominator of -11/2 and (-13)/(-34) - (0 + -1)?
34
Suppose -52 = -9*b + 7*b. What is the least common multiple of (3 + -2 - 5)*-2 and b?
104
Suppose 6*q - 60 = 4*q. What is the least common multiple of 6 and q?
30
Find the common denominator of ((-34)/18)/(16/(-120)) and 35/6.
6
Suppose -m + 2*v + 12 = 2*m, 3 = m - v. Calculate the smallest common multiple of m and 8.
24
Let a = -135/1103 - -341723/79416. Let g = 1/8 - a. Calculate the common denominator of g and 71/16.
144
Let o = 0 + 1. Suppose -6*g - 50*g + 504 = 0. Calculate the smallest common multiple of g and o.
9
Let b(n) = n**3 + 11*n**2 - 13*n - 8. What is the lowest common multiple of 8 and b(-12)?
8
Let x = 102013/6 + -16959. Let k = -420 + 1238/3. Let p = k - x. Calculate the common denominator of p and 11.
2
Let a be 4/(-6) - 6729/(-9). Let m = -5965/8 + a. Find the common denominator of m and ((-142)/(-8))/(11/(-22)).
8
Let g = 921 - -269. Let a = 9621/8 - g. What is the common denominator of a and 83/12?
24
Let w = -1831 - -5443/3. Find the common denominator of w and (-1364)/120 - 3/9.
30
Suppose -2*t - 488 = -4*t. What is the smallest common multiple of 4/14 - t/(-28) and 5?
45
What is the common denominator of -1 + (6/100)/(6/395) and 3/16?
80
Let i(v) = 4*v - 2. Let s be i(6). Suppose -3*p + s - 4 = 0. Calculate the lowest common multiple of 4 and p.
12
Let b = 48809/4170 + -2/417. What is the common denominator of 1 - 34*(-1)/(-2) and b?
10
Suppose 40 = 13*a - 12*a. Calculate the lowest common multiple of 22 and a.
440
Suppose 80 = d + 3*d. Calculate the lowest common multiple of 14 and d.
140
Let d = 75847/24100 - -608/241. Let o = d - -2/25. Calculate the common denominator of o and -28/5.
20
Let u be -2*(4 + 5/(-2)). Let i = u - -11. What is the least common multiple of i and 16?
16
Suppose -2*b = 3*q - 6*b - 35, 4*q - 40 = 4*b. Suppose -2*r - 18 = -q*r. Calculate the common denominator of 26 and ((r/(-3))/2)/3.
3
Suppose -30 = 4*o - 9*o. What is the lowest common multiple of o and 5?
30
Suppose 3*q + 12 - 30 = 0. What is the lowest common multiple of q/4 - (-10)/(-20) and 1?
1
Let q = -1 - -6. What is the least common multiple of q and 4?
20
Let b = 3/3187 + -213565/38244. What is the common denominator of b and -1*237/18 + 0?
12
Suppose p - 5*s = 33, 0 = -p - 4*s + 5*s + 13. Suppose 5*x + 5*r = 25, -3*r = x - 0*x + 3. Calculate the smallest common multiple of x and p.
72
Let c = 47868/10465 - 4/1495. Calculate the common denominator of c and -7/8.
56
Let i(l) = 6*l + 5. Let v = 1 - -1. Let h = v + 1. Calculate the least common multiple of h and i(0).
15
Calculate the common denominator of (-1774)/140 + (40/(-35))/(-2) and -95/4.
20
Let i(g) = -3*g - 2. Let s be i(-2). Suppose s*l = d - 13, -d - 29 = 4*l - 10. What is the smallest common multiple of 3 and 3/(d/(-8)) - -2?
30
Suppose 0*v + v = -3*a - 1, 5*v = -3*a - 17. Suppose -2*d = -2*x + 4, -5*d - 2*x - a = -26. What is the common denominator of (d - -26)/((-4)/(-3)) and 29/9?
36
Let h(d) = 3*d**3 + 2*d**2 - 2*d + 2. Calculate the lowest common multiple of h(2) and 16.