se 2*i + 27 = -5*k, 0*k = 4*k + 4. Let l(u) = -u**3 - 11*u**2 - 2*u - 2. Calculate the smallest common multiple of l(i) and x.
80
Suppose 0 = 6*f - 3*f. Let j = f + 8. Calculate the least common multiple of 4 and j.
8
Let r be 6*(2 - (-8)/(-3)). Calculate the common denominator of (50/r)/((-55)/15) and 9/4.
44
Let v = -818/5 + 13283/80. Find the common denominator of (31/7)/((-40)/(-14)) and v.
80
Let j = 1191/442 - -6/1105. What is the common denominator of 31/2 and j?
10
Let s(z) = -12*z + 4. Let n be s(-3). Suppose -3 + 27 = 4*f. Suppose -2*t + f*t - n = 0. What is the lowest common multiple of 16 and t?
80
Let h(r) = r**2 + 9*r + 5. Let a be h(-8). Calculate the lowest common multiple of 16 and (270/75)/(a/(-10)).
48
Suppose -2*r + 0*j + 14 = -j, -5*j - 40 = -4*r. Calculate the lowest common multiple of r and 10.
10
Let s = -1940 - -21363/11. Find the common denominator of 87/4 and s.
44
Let c = 177547/105232 - -2/6577. Find the common denominator of c and -33/10.
80
Let i = 16409/4 + -4122. Calculate the common denominator of i and -61/12.
12
Suppose 5*o - 24 = -0*c + 2*c, -4*c - 48 = o. Let b = c - -32. What is the least common multiple of b and 3/(-3) - -2 - -15?
80
Let c(v) = 2*v - 4. Let f be c(4). Find the common denominator of 83/10 and 5/(-6)*(-114)/f.
20
Let d be 3/(1 + 0/(-2)). Let n = d - 3. Suppose n = i + 4*p - 20 - 0, 2*p - 64 = -5*i. Calculate the smallest common multiple of 16 and i.
48
Let z = 3 - -1. What is the common denominator of 32/9 and 1200/(-308) - z/14?
99
Let m = 6241/606 + 2/1515. What is the common denominator of m and (-542)/440 + (-4)/(-22)?
20
Let g(w) = 124*w**3 - 2*w**2 + 5*w - 5. Let k be g(4). Let v = -158459/20 + k. What is the common denominator of -53/2 and v?
20
Let m be ((-4)/(-3))/((-9)/(-27)). Suppose 0 = 5*n - c + 2*c + 4, n + 4*c - 3 = 0. Let l = m - n. What is the lowest common multiple of 1 and l?
5
Let z = 53269/12 + -4444. Find the common denominator of z and 53/10 + 3/(-3).
60
Let f = -1528 + 33625/22. What is the common denominator of f and 93/20?
220
Let s(y) = -y**2 + 3*y + 1. Let o be s(5). Let w = o - -22. Find the common denominator of -27/20 and w/(13/(-5) + 1).
40
Suppose -3*c - 3*l + 359 = 86, 359 = 4*c - l. Calculate the lowest common multiple of c and 3.
90
Let r(f) = -f**2 - 8*f - 6. Let y be r(-6). Suppose 0 = 2*k - y*k + 4. Calculate the smallest common multiple of k and 1.
1
Find the common denominator of -71/4 and (78/(-20))/(6/18).
20
Let m = -323/10 + 742/15. Calculate the common denominator of 33/4 and m.
12
Let w(k) = -k**2 - 7*k. What is the lowest common multiple of w(-5) and 9?
90
Suppose 5*n = 2*n + 2*s - 2, 0 = s - 4. Suppose -n*r + 7 = -9. Let o(d) = 4*d**3 + d**2 - 2*d + 1. Calculate the lowest common multiple of r and o(1).
8
Suppose -5*m + 2*m = 144. Calculate the common denominator of 71/20 and ((-177)/m)/((-2)/(-4)).
40
Let c = -1889/28 + 881/12. Let a = c - -185/14. Let d = 264761/20968 - 5/2621. Calculate the common denominator of d and a.
24
Let g = 29849/20 - 1491. Calculate the common denominator of g and 55/18.
180
Suppose -2*z + 248 = -5*f - 421, 0 = -5*f + 3*z - 666. Calculate the smallest common multiple of 3 and f/(-10)*(-4)/(-6).
9
Let h(i) = 3*i + 5. Let z be h(-7). Let s = 209/16 + z. Find the common denominator of s and 93/22.
176
Suppose k + 64 = 5*k. What is the lowest common multiple of 20 and k?
80
Suppose 0 = 3*f - 19 - 8. What is the lowest common multiple of 2 and f?
18
Let r be (1*(2 - 4))/2. Find the common denominator of 124/r*(-1)/6 and 151/6.
6
Let p = 6/991 + 46535/6937. What is the common denominator of -59/5 and p?
35
Find the common denominator of (-1)/2 - 141/(-21) and -87/10.
70
Suppose g - 2*g + 9 = 0. Suppose d - g = 5*a, 0 = -2*d - 5*a + 30 + 3. Let s = 27 + -15. Calculate the lowest common multiple of d and s.
84
Suppose -d + 26 = -5*u, 5*u + 15 = 2*u. What is the smallest common multiple of (d - 2) + 3 + 5 and 9?
63
Let p = -530 + 2678/5. Suppose -2*a + 140 = x - 6*x, 5*x - 4*a = -130. What is the common denominator of (x/3)/((-8)/(-14)) and p?
10
Calculate the lowest common multiple of ((-24)/14)/(1/(-7)) and -36*(2/1)/(-4).
36
Let z = 1885 - 16909/9. Find the common denominator of -67/9 and z.
9
Suppose 0*r - 3*r = 3*k - 42, -3*k + 50 = 5*r. Suppose f = 5*f - 64. Calculate the smallest common multiple of (f/(-10) - 0)*-5 and k.
40
Calculate the lowest common multiple of (-2)/(-3) - (-20)/6 and 12.
12
Suppose -2 = j - 7. Suppose j*x + a = -4*a + 90, -4*x + 51 = -3*a. Calculate the common denominator of 46/9 and x.
9
Find the common denominator of 8 and 64/30*(-9)/(-6).
5
Let q(w) = -w**3 + 17*w**2 - 15*w - 13. What is the smallest common multiple of 2 and q(16)?
6
Suppose 0 = -16*q + 149 - 21. What is the lowest common multiple of q and 123?
984
Let m = 53 + -29. Calculate the common denominator of (4/m)/((-4)/261) and -13/20.
40
Let w(f) = -f**3 - 6*f**2 + 6*f - 4. Let g be w(-7). Suppose -k - g*k = -20. What is the smallest common multiple of k and (6 + -3)/((-1)/(-2))?
30
Suppose 0*f = p + 3*f - 10, -14 = -3*p - f. Let z(w) = -w**3 + 4*w**2 + 2*w - 4. Calculate the least common multiple of z(p) and (9 - 1) + (-1 - -1).
8
Suppose -v + 6*v = 5. What is the least common multiple of v and 5?
5
Let s = 51 + -72. Find the common denominator of -3/10 and (-1)/8*(-3052)/s.
30
Let u = -11394/4433 - -10/403. What is the common denominator of -40/7 and u?
77
Calculate the common denominator of 10 and (-2)/(6/332*8).
6
Let t = -25341/14 - -1811. Calculate the common denominator of -41/8 and t.
56
Suppose -2*l = -4*p + 3*l + 20, -4*l = 4*p - 56. What is the least common multiple of 10 and (28/10)/(4/p)?
70
Let u(x) = -x - 2. What is the lowest common multiple of u(-20) and 18?
18
Let y = 21 + -17. Suppose 11 - 43 = -y*q. Calculate the lowest common multiple of 9 and q.
72
Let a be ((-2)/4)/((-1)/6). Suppose -2066 = -s + 4*d - 495, -s + a*d + 1567 = 0. Let h = 14012/9 - s. What is the common denominator of 79/4 and h?
36
Let x be (-12 - 2)*3/(-6). Find the common denominator of x - 4 - 155/12 and -111/14.
84
Suppose -h + 2*y + 8 = 0, -2*h = 3*h + 2*y - 4. Let m = 1/12202 + -604003/48808. Calculate the common denominator of 76/(-2) - h/(-4) and m.
8
Calculate the lowest common multiple of 6/12*-2 - -21 and 30.
60
Let w be (-2 + 0)/(2/14). Calculate the common denominator of -47/4 and (-101)/w - 10/5.
28
Let a = -10 - -21. Let o(n) = 4*n - 3. Let m(f) = -5*f + 2. Let g(z) = 5*m(z) + 6*o(z). Calculate the smallest common multiple of g(-9) and a.
11
Suppose -4*u = -4*w + w - 13, -4*u - w = -17. Let b = 2 - 3. Let l = b - -6. Calculate the lowest common multiple of l and u.
20
Calculate the smallest common multiple of -52*(-2)/4 + -3 and 2.
46
Let j = 6809/5 + -1356. What is the common denominator of (496/60)/(4/(-10)) and j?
15
Let n = -487 - -1009/2. Calculate the common denominator of n and -29/7.
14
Let c(t) = -t**2 + 6*t + 15. Calculate the smallest common multiple of 5 and c(7).
40
Calculate the common denominator of 118/(-20) + (-2)/2 and (-142)/72 - (2 + -1).
180
Calculate the common denominator of (-13)/8 + 1 + -1 and (-150)/8 - -4*(-3)/6.
8
Let w = 8/2549 - 176041/50980. Let m be -2 - (-2 + (-16070)/(-14)). Let k = -161197/140 - m. Find the common denominator of k and w.
20
Find the common denominator of (-68)/72 - ((-85)/15 - -6) and 3/(-27)*(-447)/2.
18
Let n be 2830/(-4) - (-5)/5. Suppose -b - 2*b = 2166. Let a = b - n. What is the common denominator of a and 38/5?
10
Suppose -3*r = 4*i + 5 + 15, 3*i = 3*r + 6. Calculate the common denominator of (-7)/18 + 0 + -1 and (-4)/(-18)*(-345)/r.
18
Let r(p) = p**3 - 3*p**2 + 5*p - 7. Suppose 16 = 4*x - 72. Calculate the least common multiple of x and r(3).
88
Suppose -36 = -2*z - j + 5*j, -2*j + 42 = 5*z. What is the lowest common multiple of 10 and z?
10
Calculate the common denominator of 33/4 and (58/25)/((-16)/20).
20
Let r(b) = 2*b - 12. Let i be r(7). Find the common denominator of 2/(i - 114/61) and -1*(-9)/22 - 2.
44
Suppose -2*h - h = -27. Let m(x) = -x**3 + 6*x**2 - 4*x - 12. What is the smallest common multiple of h and m(4)?
36
Find the common denominator of -1 + 30/32 - -3 and -73/12.
48
Suppose -z = -2*z + 2. Suppose 6 = z*l - 14. Calculate the smallest common mul