495 and 6/(-22) + (-184295)/(-38280)?
3960
Let l be -3*(46546/(-36) - -1). Let c be -105*(-4 - (-205)/5). Let u = c + l. What is the common denominator of 57/20 and u?
60
Let h = -652 - -672. What is the smallest common multiple of 16 and h?
80
What is the common denominator of 12/(1*-1)*(-1463)/29260 and (-1)/2 - 26/(-20)?
5
What is the lowest common multiple of (12/(-14))/((-54)/504) and (6/(-9))/((-1)/12)?
8
What is the smallest common multiple of (-7 + 1)/((-5)/(20/3)) and 9/12 + (-82)/(-8)?
88
Suppose 205 = -5*k - 5*o, 137 = -0*k - 4*k + 5*o. Let j(g) = g**3 + 3*g**2 - 3*g + 3. Calculate the least common multiple of j(-3) and (1 + k/10)*-5.
84
Calculate the common denominator of 26 + -26 - (-321)/(-18) and 44/5.
30
Let m(n) = -5*n**2 + 9*n. Let l(x) = -6*x**2 + 9*x. Let h(z) = -3*l(z) + 4*m(z). Let w be h(5). Find the common denominator of (w/(-60))/((-3)/426) and -101/2.
6
Suppose -5*w + 118 = 4*b - 10*w, -3*b - 3*w + 102 = 0. Calculate the smallest common multiple of b and 4.
32
Let g(b) = b**3 - 9*b**2 + 11*b - 18. Suppose 9*h + 5*h - 112 = 0. Calculate the lowest common multiple of 4 and g(h).
12
Suppose -2*z - 5*s + 375 = 0, z - 4*s - 204 = 16. What is the smallest common multiple of z and 60?
600
Suppose 2*n = 4*n - 144. Suppose -5*x + n = -x. Let h(i) = 5*i**2 + 2*i + 3. Calculate the least common multiple of x and h(-1).
18
Suppose -10 = 2*r - a, r + 19 = -3*a - 0*a. Let j(o) = o**2 + 8*o + 14. What is the smallest common multiple of j(r) and 5?
35
Suppose 0 = 5*i + 4*u + 10, -2*i + 7*i = 2*u - 10. Find the common denominator of i/(-13)*299/(-13) + 2 and -47/6.
78
What is the common denominator of (-1*(-3)/(-6))/(224/(-48)) and -121/12?
84
Calculate the common denominator of 15/45*(23/(-10) + 2) and 39/964.
4820
Suppose -14 = -0*n + n. Suppose -3*l + q - 56 = 0, -q + 7 = 3*l + 71. Calculate the common denominator of 7/5 and 2/l + n/7.
10
Let y be ((-6)/38)/((-1)/15217). Let l be 2382 + 15 + -1 + 5. Let q = y - l. Calculate the common denominator of q and -21/2.
38
What is the common denominator of 0 + (7/(-5))/(351/150) and 19/104?
936
Let p(n) = n. Let k(b) = 2*b - 1. Let v(l) = -4*k(l) + 9*p(l). Let o be v(15). Let s = 25 - o. Calculate the smallest common multiple of 14 and s.
42
Suppose 0 = -5*x - 0*x + 1225. What is the common denominator of 1/(135/x) - 4 and -32/9?
27
What is the least common multiple of 0 + 36 + 108/(-12) + 9 and 18?
36
Suppose 5*c - 4*o - 36 = 99, c - 51 = -4*o. What is the lowest common multiple of 279 and c?
279
What is the common denominator of 49/3 and -2 + 5 + (380/(-234) - 1)?
117
Let b(r) = 3*r - 37. Let k be b(11). Let h(y) = 2*y**2 + 4*y + 22. What is the smallest common multiple of h(k) and (-2)/1 - (-13 + 0)?
418
Calculate the common denominator of -1 - ((-16)/6)/(7/3) and -41/37.
259
Let f(v) = -v**3 + 10*v**2 - 8*v - 19. Let l be f(9). Let m = 14 + l. Let s(q) = q + 8. What is the lowest common multiple of s(-4) and m?
4
Suppose -3*s - s = -296. Let b = -1097/2134 - 78/97. What is the common denominator of b and (s/11)/(4 - 0)?
22
Suppose 159 = b + k, -4*k + 7*k = 3*b - 459. Calculate the smallest common multiple of b and 9.
468
Let h(d) = -10*d - 9. Let y be h(-8). Let q = y + -49. Suppose -2*c - 1 = g - 21, 56 = 3*g + 4*c. What is the least common multiple of g and q?
176
Suppose 0 = -3*t + 5*v + 35, -2*t - t + v = -43. Calculate the lowest common multiple of t and 99.
495
Let j(p) = -2*p**3 - 5*p**2 + 3*p + 3. Let c be j(-4). Find the common denominator of c*(-4)/(-54)*1 and -54/11.
99
Let p = -248 - -111. Let a = 61 + p. What is the common denominator of -33/4 and (-4)/6*a/8?
12
Let o = -1150/9 - -128. Suppose -147 = 3*c - 663. Let v = 506/3 - c. Find the common denominator of v and o.
9
Let a = 239042/13 - 18407. Let d = a + 3777/130. What is the common denominator of d and 1/10?
10
Calculate the common denominator of ((-1)/(-2)*4)/((-40)/125) and -65/8.
8
Let a = -434267/427712 + -2/6683. Find the common denominator of 119/72 and a.
576
Let u = 21179/90 - 2054/9. What is the common denominator of u and (-27)/24*(-11)/6?
80
Suppose 2*u = z - 14, 4*z + 60 = 6*z + 4*u. What is the lowest common multiple of 30 and z?
330
Suppose -77 = -14*k + 119. Calculate the least common multiple of 17 and k.
238
Let p = -16133395042288/13013 + 1239790595. Let a = -2/1183 + p. Find the common denominator of ((-1)/12)/((-8897)/(-987) - 9) and a.
88
Suppose -2 = 79*w - 80*w. Find the common denominator of -93*3*w/24 and 7/5.
20
Let z = 19/179 - -3379/3580. Suppose 0*v - 2*x + 40 = 2*v, 5*v - 3*x = 84. Find the common denominator of 2 - 111/v - 2 and z.
60
Suppose 3*b - 27 = -3*w, 2*w - b + 3 = 18. Let a = 15 - -14. Suppose 4*f + 4*o - 42 = f, -2*f + a = 3*o. Calculate the least common multiple of w and f.
40
Suppose 3*w + 0*w - 12 = 0, 4*l + 3*w = 600. Suppose 2*f = -3*p + 297, -95 = -p + f - 3*f. Let n = l - p. What is the common denominator of 47/6 and n?
6
Let n = -5584 + 89273/16. Find the common denominator of 57/44 and n.
176
Let m = -12 + 46. Suppose 250 = s + 4*s. Suppose 5*z + 0*z - s = 0. Calculate the least common multiple of z and m.
170
Let b(i) = i + 18. Let d be b(12). Calculate the common denominator of 29/12 and ((-2)/d)/((-36)/(-45)).
12
What is the common denominator of (-662)/(-60) + (-4)/(-6) and (354/(-100))/(162/(-270)) + 2?
10
Let x(q) = -10*q**2 - 36*q. What is the least common multiple of 164 and x(-3)?
1476
Find the common denominator of 2/(6 + 472/81 + -6) and -31/6.
708
What is the common denominator of 31/20 and (5 - (-9 - -18)) + (-594)/(-100)?
100
Suppose 0 = 4*z - 5*b + 20, -3*b + 12 = -z - 3*z. Suppose -3*d + 45 = n + 11, 4*d + n - 44 = z. What is the least common multiple of d and 8?
40
Suppose -2*d - 3*d + 3905 = 3*c, -4*d - 2*c + 3126 = 0. Calculate the common denominator of 2/7 + 1197/d and -113/6.
48
Let u = 299/2 + -155. Calculate the common denominator of u and 55/48.
48
Let o = 25 + -19. Suppose 0 = -l + 2*a + 8 + o, -3*a - 98 = -5*l. Calculate the smallest common multiple of 12 and l.
132
Let b(v) = 3*v**2 - 2*v + 10. Let i be b(-5). Let x = i - -39. Calculate the least common multiple of x and 12.
804
Let u(a) = 4*a + 11. Let x be u(-19). Let s = -51 - x. Calculate the smallest common multiple of 44 and s.
308
Find the common denominator of -59/33 and (3 + (-36)/8)*57/54.
132
Suppose -u + 6*w - 3*w + 14 = 0, -5*u + 6 = w. What is the smallest common multiple of u and 17?
34
Suppose 4 + 8 = p. Let i(g) = -3*g - 5. Let b be i(-3). Suppose -3*z = 4*q - z, b*q - 12 = z. What is the lowest common multiple of p and q?
12
Let i be -4 - (5632/(-346))/4. Let j = 1516/1903 - i. Suppose 0*f = -w + f - 8, -4*w + f = 20. Find the common denominator of j and w.
11
Suppose 0 = -4*f - 3*o + 59, -3*f - o = 3*o - 53. Let b(n) be the first derivative of n**2 + 4*n - 1. Calculate the least common multiple of f and b(3).
110
Let t = -84 - -133. What is the lowest common multiple of 14 and t?
98
Let w(s) = -s**3 - 10*s**2 + 12*s + 23. Let q be w(-11). Calculate the common denominator of (-1 - 130/(-12)) + 1 and ((-11)/q - -2)/(0 + -1).
12
Let g(v) = -v - 4. Let c be g(-5). Calculate the common denominator of 73/30 and (6/(-30))/((-33)/415) - c.
330
Let m(p) be the first derivative of p**4/4 - 4*p**3/3 - 6*p**2 + 4*p - 4. Calculate the least common multiple of 2 and m(6).
4
Let s(a) = 3340*a**3 - 2*a**2 - 2*a - 1. Let b be s(-1). Let q = b + 13271/4. What is the common denominator of q and -97/4?
4
Suppose 3*p + 3*y - 48 = -0*p, -57 = -4*p + 3*y. Suppose -l - 3*w - 2 - 1 = 0, p = 3*l + w. Calculate the smallest common multiple of l and 14.
42
Suppose -5*y = -16*y - 231. What is the lowest common multiple of 4 and 2 - (y + 4 + -5)?
24
Let o(p) = p**3 + p**2 + 675. Suppose -14*g = -9*g. Let a be o(g). Let l = a + -3312/5. What is the common denominator of 19/6 and l?
30
Let z = 5 - 3. Let s(o) be the third derivative of -3*o**4/8 - o**3/6 - 4*o**2. Calculate the smallest common multiple of s(-1) and z.
8
Let t be 0/(-2) + 24/(-522). Let n = t + -2677/435. Find the common denominator of (-1)/((-6)/(-151))*-1 and n.
30
Suppose -x + 18 + 17 = -5*v, 0 = 5*x - 4*v - 175. Calculate the lowest common multiple of 7 and x.
35
Suppose 0 = -5*t, 5*f - 3*t - 8 = 32. What is the common denominato