 r = 29708 + -891107/30. Find the common denominator of 10/33 and r.
330
Let j = -3853/2322 - 32/129. Calculate the common denominator of -103/72 and j.
216
Let l = -48/13 - -1229/104. What is the common denominator of l and 53/150?
600
Suppose 5*z + 160 = -5*y, 5*y + z + 148 = -24. Let s = -53113/6 - -8875. Calculate the common denominator of (4 - 1)/(50/y) and s.
30
Suppose -10*a - 912 = -16*a. Calculate the least common multiple of a and 76.
152
Let d(y) be the second derivative of -7*y**3/6 - 69*y**2/2 - 3*y - 2. What is the smallest common multiple of d(-12) and 21?
105
Suppose -2*k = -t + 14, -2*t = -2*k - 0*k - 22. Let r(j) = -j**3 + 7*j**2 + j + 8. What is the common denominator of -39 and r(t)?
1
Suppose -356*k - 216 = -368*k. Calculate the least common multiple of k and 200.
1800
Let l = 1 - -2. Suppose -s + 32 = 5*d - 3*s, -s = l*d - 28. Let a(f) = 39*f + 1. What is the smallest common multiple of a(1) and d?
40
Calculate the smallest common multiple of 50/8 - (3 + 1)/16 and 18.
18
Suppose -3*k + 2*k - 5 = -5*r, -r - 5*k = -1. Let j = -1325/1062 - -3/118. Find the common denominator of (-268)/80*-5 + r*-4 and j.
36
Suppose 6*j = 81*j - 3750. Calculate the least common multiple of 250 and j.
250
Let a = -39 + 57. Let y = 10 + -7. Calculate the smallest common multiple of -1 - (y - a*1) and 18.
126
Let i = -2734 + 2844. Calculate the least common multiple of i and 110.
110
Calculate the lowest common multiple of ((-2)/(-9) - 0) + (-44050)/(-225) and 168.
1176
Let f(h) = h**2 - 12*h - 3. Let c be f(8). Let z be (1 + 3388/8)/c. Let b = z + 56/5. Find the common denominator of -113/12 and b.
84
Let a(v) = -v**2 + v + 17. Let c be a(-5). Let w = c - -17. What is the lowest common multiple of w and 5?
20
Suppose -3 = 9*h - 8*h. Calculate the common denominator of ((-715)/(-8))/13*(-6)/(-20) and 58/36 + (-1 - h).
144
Suppose -3*l + 25 = 2*l. Let n = l + 0. Suppose n*a - p = 0, 5*a + 0*p - 15 = -2*p. What is the smallest common multiple of a and 11?
11
Let w(l) = l**3 + 10*l + 6. What is the smallest common multiple of w(4) and 50?
550
Let a(i) = 2*i**3 + 26*i**2 + 16*i - 36. Calculate the lowest common multiple of a(-12) and 9.
180
Suppose 19*j - 180 = -47. Calculate the lowest common multiple of j and 22.
154
Let l = -399552 - -2339815/6. Let d = l - -9605. Let y = 4 - 9/4. What is the common denominator of y and d?
12
Let w(g) = -3*g**3 - 3 + g + 6*g**2 + 2*g**3 + 0. Let l = -49 - -60. Calculate the least common multiple of w(6) and l.
33
Let h = -4799 - -230485/48. Calculate the common denominator of -1/96 and h.
96
Let h = -9 + 17. What is the common denominator of (-14)/h*54/(-70) and (5 - 2513/812) + 3/(-4)?
580
Let b = -7772/11 - -704. Find the common denominator of b and 8/10*(-1050)/(-940).
517
Suppose 4 = -2*l + 2*z, 4*l + l = -z + 8. Let o be l*-2 - (2 + 6). Let y = -70/9 - o. Calculate the common denominator of -65/2 and y.
18
Suppose -2*y + 7*y - 20 = 0. Calculate the lowest common multiple of (4/(-6))/((-1)/12) and y.
8
Suppose -2*s = -2*r + 20, 3*r + r - 49 = -5*s. Let q(w) = -2*w**2 + 27*w - 35. What is the lowest common multiple of r and q(10)?
385
Let q = -64 + 709/11. What is the common denominator of q and (-1)/((-18)/183) + 1?
66
Let h be -2*4 + 2 + 0. Suppose -6*f = 5*f - 22. Calculate the lowest common multiple of -3*(0 + 20/h) and f.
10
Let l be (-5914)/(-36) + 5/((-20)/8). Let o = l - 319/2. Calculate the common denominator of 17/33 and o.
99
Let q = 23820581/48637290 - 2/124711. Calculate the common denominator of q and 34/9.
1170
Let w be ((-11)/33)/(2/(-18)). Suppose 4*h - 34 = -2*y, -w*h + 39 = 3*y - 0*y. What is the least common multiple of 7 and y?
63
Let w = 28994999 - 54626561269/1884. Let u = w - 4/157. What is the common denominator of -59/8 and u?
24
Suppose 0 = 2*t + 2*q - 6, 2*t - 3 = -4*q + 1. Suppose t*h = 2 + 30. Calculate the lowest common multiple of h and 12.
24
Let t = 1/2657 + 124847/85024. What is the common denominator of 116/261 + 871/(-36) and t?
32
Let u be (-8)/160*(-102794)/1. Let o(z) = -1717*z + 1. Let p be o(3). Let l = p + u. What is the common denominator of 121/12 and l?
60
Let r(t) = t**3 - 7*t**2 + t - 5. Let a be r(7). What is the least common multiple of (3 - a)/(4 + -3) and 9?
9
Suppose -u = -1 - 0. Let x(q) = -q**2 - 5*q + 18. Let m be x(-10). Let b = m - -42. What is the lowest common multiple of b and u?
10
Let h = 13829/14 - 987. Let r(l) = -23*l**2 + 4*l - 3. Let b be r(1). Calculate the common denominator of h and -5 + (1215/b)/(-9).
154
What is the common denominator of 71*(-4)/176 + 4/(-16) and 11/28?
308
Let u = -9413 + 75207/8. What is the common denominator of u and (8 - 7 - 0) + 38/(-4)?
8
Let k = 968437/30 + -32278. Find the common denominator of -73/339 and k.
3390
Let r = -16 - -19. Suppose 3*d - 11 = -4*p + 9, 0 = 3*p - 3*d + 6. What is the lowest common multiple of p and r?
6
Suppose 0 = 2*f - 5*q - 19, 2*f - f - 5*q - 7 = 0. Let d(x) = x**2 - 3*x + 2. What is the smallest common multiple of d(6) and f?
60
Let f = 3 - -6. Let k(h) = h**3 - 9*h**2 + 2*h. Suppose -6*t = -t - 60. Calculate the lowest common multiple of t and k(f).
36
Let f = 275 - 155. Calculate the least common multiple of f and 264.
1320
Let a = -14506 + 304694/21. Calculate the common denominator of -145/84 and a.
84
Let w = 1 + -14. Let t = 23 - w. What is the common denominator of t and 89/12?
12
Let i = 48077 - 5384733/112. Calculate the common denominator of -9/10 and i.
560
Let u be 2/2 + 228/(-6). Let i = u - -31. Calculate the least common multiple of (i/(-27))/((-8)/(-72)) and 11.
22
Calculate the lowest common multiple of 6*(-16)/(56/(-7)) and 84.
84
Calculate the common denominator of -1 + -2 + (-244)/8 and (4 + (-28)/16)*-18.
2
Suppose 8*u = -12 - 108. Let m = u + 14. Let g = m - -9. What is the lowest common multiple of g and 11?
88
Suppose -i - 2*s = s - 78, -3*s - 54 = -i. Calculate the smallest common multiple of i and 60.
660
Let i = -2491 + 24831/10. What is the common denominator of i and 41/105?
210
What is the least common multiple of 3/(-15) + 249*(-8)/(-60) and 42?
462
Let t = -18 - -19. Suppose 3*w + 10 = 8*w. Suppose 0 = -4*p + 3*s - w, -4*p + 12 = 3*s + s. What is the smallest common multiple of p and t?
1
Suppose 0 = -4*z + 3*w + 20, -23*z + 28 = -19*z - w. What is the lowest common multiple of 40 and z?
40
Let x = 9969955686 - 217614222707080/21827. Let d = -5/3358 + x. What is the common denominator of -59/12 and d?
156
Let p(i) = i - 3. Let r be p(5). Suppose 5*y + 42 = j, -2*y + 56 = 2*j + r*y. Calculate the least common multiple of 2 and j.
32
Let j = 16325/21 - 5463/7. Calculate the common denominator of (-1303)/(-210) + 52/(-91) and j.
210
Let f(o) = -3*o**3 - 8*o**2 + 6. Suppose -2*y - 8 = -2*j, 0*y - 3*j - 9 = 4*y. What is the least common multiple of f(y) and 15?
15
Let t(s) = -s**3 - 5*s**2 - s - 3. Let l be 10/(-15) + (-13)/3. Let u be t(l). What is the common denominator of 151/18 and u + ((-41)/14 - -2)?
126
Let b = -91833238/99 + 927633. Let n = b + -193/9. What is the common denominator of n and -95/42?
462
Calculate the common denominator of (-2)/(1782/(-1991)) - (-3)/(-1) and 55/54.
162
Suppose 0 = -k - 0*k + 3*t + 114, 2*t + 505 = 5*k. What is the lowest common multiple of 22 and k?
198
Suppose k = -3*b - 10, -5 = 4*b - 2*k + 5. What is the common denominator of (91/3)/(4/3) and 1*b - (-5 + 182/18)?
36
Let n = 306/37 + -7957/555. Find the common denominator of n and 214/60 - (-6)/6.
30
Let b(o) = o**2 - o + 1. Let m(c) = 12*c**2 + 4*c - 3. Let y(q) = -6*b(q) - m(q). Let x be y(3). Find the common denominator of -17/12 and x/2*(-18)/(-378).
84
Let q(c) = -c**2 + 12*c - 20. Calculate the lowest common multiple of q(3) and 108.
756
Suppose 0 = -5*p - 2*l, 0 = -0*p + 2*p - 5*l. Suppose -3 = -2*n + 1, p = h + 4*n - 9. Calculate the smallest common multiple of 6 and h.
6
Let a = -89 + 113. Let h = -5 + 8. Suppose -h*w - a = -6*w. Calculate the smallest common multiple of 1 and w.
8
Let b(w) be the second derivative of w**3/2 + 40*w. Let a = -2 - -4. What is the smallest common multiple of a and b(3)?
18
Calculate the lowest common multiple of 112/126*9 + 4/2 and 14.
70
Let j(t) = 45*t**2 + 4*t - 2. What is the lowest common multiple of 3 and j(2)?
186