29)/4 + 2/8. Let b be 14/v - 65/(-37). Let k = 2051/370 + b. Calculate the common denominator of 77/2 and k.
10
Suppose -k + 2*h - 5*h = -13, 11 = k + h. What is the least common multiple of k and 4?
20
Let s(z) = -z**3 + 4*z**2 + 3*z - 9. Calculate the least common multiple of s(3) and 6.
18
Suppose -3*g = 4*a + 11, -4*g - 22 = -0*a - 2*a. Let j = 22687/1602 + 4/801. Find the common denominator of (a/(-6))/(20/(-498)) and j.
60
Let g(w) = -w**3 + 7*w**2 - 6*w + 1. Let n be g(6). Let l = 3 - n. Calculate the smallest common multiple of l and 18.
18
Let i be ((-3)/(-2))/(-1)*-2. Suppose 3*t + 22 = 2*m, i*m + 2*t - 5 = 15. Let h(x) = -7*x - 1. What is the lowest common multiple of m and h(-3)?
40
Let z(y) = -12*y**3 - y**2 + y + 2. What is the lowest common multiple of 22 and z(-1)?
132
Suppose -2*h = 2*h - 12. Let s = 3 + -4. Let k = 5 - s. What is the smallest common multiple of k and h?
6
Let b be (-4)/(6*(-1)/(-3)). Find the common denominator of (-196)/(-20) + -1 + b and 17/10.
10
Suppose -2*r + 1 = -3. Suppose 20 = -r*o - 2*o. What is the common denominator of -85/4 and (-67)/5*o/(-14)?
28
Let o be ((-12)/10)/((-14)/(-35)). Suppose 0 = 5*t + u - 25, -2*u - 2 = -3*t - 0*u. What is the smallest common multiple of 39/(-9)*o + -3 and t?
20
Suppose 2*p - 17 + 9 = 0. What is the least common multiple of p and 34?
68
Let v = -1/21272 - -553113/872152. What is the common denominator of 57/5 and v?
205
Let h(k) = k**3 - 5*k**2 + 4*k. Let q be h(4). Suppose q = 2*v + 1 - 5. Calculate the common denominator of -89/2 and -30 + ((-1)/v - 0).
2
Suppose 3*u - 3*t - 441 = 0, u - 4*t = -2*u + 446. Calculate the common denominator of -97/20 and (-3*u/(-18))/(-6).
180
Suppose 5*t - 2 - 13 = 0. Let a be (9 - t)*3/6. Suppose -x - 4*b + 30 = 0, 0*b - 60 = -3*x + a*b. Calculate the least common multiple of 4 and x.
44
Let g = 80968 + -357149853/4411. Let m = 383677/70576 - g. What is the common denominator of 59/8 and m?
16
Let j = -23 - -42. Let p = j - 15. Let w = 4 + 14. What is the smallest common multiple of w and p?
36
Let t = -120253/10 + 12036. Calculate the common denominator of t and 2*(45/32 - 1).
80
Find the common denominator of 13/4 and (-235)/150 - (-2 - 0).
60
Let u(y) = -y - y**3 + 3*y**3 - y**3 + 6*y**3. Calculate the smallest common multiple of u(1) and (6/2)/((-2)/(-4)).
6
Suppose 2*a - 92 = 4*d, 0 = -4*a + 5*d + 187 - 0. Let s be ((-68)/(-6))/((-6)/18). Let g = s + a. What is the lowest common multiple of 16 and g?
112
Let w be ((-11700)/160)/((-327)/(-4)). Let v = w - 3/545. Calculate the common denominator of v and -91/6.
30
Let m = -9 + 15. Let t(o) = -o**2 + 5*o + 4. Let f be t(6). What is the lowest common multiple of (-3 + 4 - f) + 4 and m?
42
Let y = 16945/8 - 2125. What is the common denominator of y and -17/12?
24
Suppose -o - 7 = -0. Let l(c) = 10*c + 24. Let i(h) = -3*h - 8. Let f(t) = -7*i(t) - 2*l(t). Calculate the lowest common multiple of f(o) and 8.
8
Let p(d) = -d**3 + 14*d**2 + 14*d + 17. What is the smallest common multiple of p(15) and 16?
16
Let p(n) be the second derivative of n**4/4 + 8*n**3/3 + 2*n**2 - 2*n. What is the common denominator of -63/5 and p(-7)?
5
Let y = 34557/8 - 4310. What is the common denominator of y and 53/22?
88
Let n = -119285/22 + 5421. What is the common denominator of -1/16 and n?
176
Suppose 17*c - 16*c = 2. Suppose 2 = -s, 0 = -2*i - 0*s - s + c. What is the least common multiple of i and 18?
18
Suppose 0 = 4*o - 88 - 32. What is the least common multiple of o and 18?
90
Let w = 1692 + -20231/12. What is the common denominator of 91/6 and w?
12
Let v be (-28470537)/24 - 1 - 2. Let d = v + 1190192. Let n = d + -3925. Calculate the common denominator of -83/2 and n.
8
Let r(n) = n**2 - 5*n - 1. Let o be r(5). Let x = 1653 + -6519/4. Find the common denominator of x and (-89)/(-30) - o/3.
20
What is the least common multiple of 0/9*2/4 + 9 and 6?
18
Suppose x = 2*x - 5*u - 25, -5*x - 2*u = -17. Calculate the least common multiple of x and 11.
55
Suppose -j = -3*c + 2*j + 9, -4*j - 8 = 0. Let g(f) = -f**3 + 2*f - 1. Calculate the lowest common multiple of c and g(-2).
3
Let y = 2/2625 + 76117/10500. Find the common denominator of -41/40 and y.
40
Let r(b) = -b**2 - 7*b - 4. Let v be r(-6). Suppose -5*a = -3*n - 84, 2*a + 4*n - 80 = -v*a. Calculate the least common multiple of 18 and a.
18
Let i(s) = 2*s**2 + s. Let j(o) = -o**2 + 6*o - 7. Let z be j(5). Calculate the least common multiple of (-18)/(-10) - (-14)/70 and i(z).
6
Suppose 5*z + 2 + 16 = -t, -t - 2*z - 6 = 0. Find the common denominator of (3/6)/(t/94) and -25/12.
12
Suppose b - 22 - 33 = -5*l, -2*b = 4*l - 50. Suppose a = -k + 2 + l, 3*a + 5*k = 46. What is the smallest common multiple of 10 and a?
70
Let i be (-27)/(-6)*20/6. Let h be 18/4*50/i. Find the common denominator of -31 and (3/h)/(2/(-94)).
5
Let x = 14 + 0. Suppose -x = -0*m - 2*m. Calculate the smallest common multiple of m and 5.
35
Let a be 5 + (-4)/(0 + 4). Calculate the lowest common multiple of a/12*3 - 0 and 8.
8
Suppose -3*u + 61 - 13 = 0. Let c(g) = g - 7. Let k be c(7). Suppose -6*s + s + 90 = k. Calculate the smallest common multiple of u and s.
144
Find the common denominator of 113/10 and ((-1)/((-3)/(-104)))/(-6).
90
Let h = -4776729246968917/48200 + 99102266530. Let g = h - 1/6025. Calculate the common denominator of g and -43/5.
40
Let o be (-1089)/12 + 3/4. Calculate the smallest common multiple of 4/(-10)*o/2 and 6.
18
Let d = -13977/10 - -1387. What is the common denominator of d and 43/2?
10
Suppose 54*k + 2 = 56*k. What is the smallest common multiple of 6 and k?
6
Suppose 3*k = -k + 20. Suppose 3*u = k + 4. Suppose -3 = -w + u. Calculate the smallest common multiple of 7 and w.
42
Let d(n) = n**3 + 11*n**2 - 9*n + 44. Suppose 0*c + 5*c - 70 = 0. Calculate the least common multiple of c and d(-12).
56
Let u = -160789/6916 + -2/1729. What is the common denominator of 3*((-91)/30)/7 and u?
20
Let c = 1 + 3. What is the lowest common multiple of 44 and c?
44
Let d = -185233/84 + 15362/7. Find the common denominator of d and -97/6.
12
Let p be (-70)/8 + (-2)/8. Let a be 2/(3 - 165/57). Let t = a + p. Calculate the smallest common multiple of 12 and t.
60
Let y = -17 + 26. What is the least common multiple of 6 and y?
18
Let u(j) = 7*j**3 + 2*j**2 - j. Suppose 4*b - 2*p + p + 5 = 0, -5 = -5*p. Calculate the least common multiple of u(1) and (3/(-6))/(b/6).
24
Let a(f) be the second derivative of -f**5/20 - 3*f**4/4 - 3*f**3/2 - 3*f**2/2 - 2*f. What is the lowest common multiple of a(-8) and 12?
60
Let d(z) = -z**3 + 4*z**2 + 6*z - 4. Let m be d(5). Calculate the least common multiple of 18 and 5/(15/36)*m.
36
Suppose 3*d = 5*d - 24. What is the least common multiple of 2 and 1*(2 + d + -2)?
12
Let i(z) = -13*z - 5. Calculate the lowest common multiple of i(-3) and 5.
170
Let f = -114961 - -15749515/137. Let c = f + -11809/3014. Let s = 11301/1064 + -66/133. Calculate the common denominator of c and s.
88
Let c = -841675 + 57232881/68. Let b be ((-3)/(-9))/((-51)/729). Let d = c + b. Calculate the common denominator of d and 26/3.
12
Let b(h) = -h**2 - 11*h - 8. Let a be b(-8). Suppose -40 = -3*c - p, -a = -4*c + 3*c - p. What is the least common multiple of c and 1 + (3 - -1) + 1?
12
Suppose -2*b + 47 = -5*c, 2*c - c = -2*b + 17. What is the least common multiple of 5 and b?
55
Suppose -4*a = -9*a - 46715. Let i = 168097/18 + a. Find the common denominator of i and 1/12.
36
Let r be (-4)/16 - 106/(-8). Suppose 4*w = 3*u - 12, -2*w - 9 = w - 5*u. Let a = r + w. What is the lowest common multiple of a and 9?
90
Let c = 8/257 + -20833/514. Let w = -411/13 - -763/78. What is the common denominator of w and c?
6
Let g be 2/8 + (-45)/4. Let k = g + 0. Find the common denominator of -99/14 and (-3)/(-14)*k/(-3).
14
Let r = 24 - 18. Calculate the smallest common multiple of r and 1.
6
Let t be 3/(-9)*-15*1. Suppose 7*s - 3*g = 3*s - 5, t*g = -5*s + 20. Calculate the smallest common multiple of (1/2)/(3/42) and s.
7
Let h = -26/7999 + 1186842/919885. Let g be 4/(-3)*9/138. Let f = g + h. What is the common denominator of -12/11 and f?
55
Suppose -2*m + 4 = -6*m. Find the common denominator of 879/330 + (-1)/(-5) and m - (-2 + (-77)/6).
66
Suppose 0 = 88*s - 93