 Let b = n - 156. Find the common denominator of b and 7/4.
4
Let f = 13 - 7. Let o(k) = k**2 + 6*k + 5. Calculate the smallest common multiple of o(-7) and f - (-1)/((-4)/16).
12
Let d = -49825/5448 + 14/681. Suppose 5*u - 28 = 3*u. Calculate the common denominator of (-6)/u + 1 + (-1539)/84 and d.
8
Let a be 4/((-8)/(-179)) + 5/10. Suppose 4*x - 2*r - a = 0, r - 125 = -5*x + 6*r. What is the lowest common multiple of 16 and x?
80
Suppose 0 = -4*j + 12, -l = -7*j + 4*j - 3. Let u be (-104)/6 - (-15)/45. Let w = -11 - u. Calculate the smallest common multiple of l and w.
12
Let z = 60384 - 9057557/150. Find the common denominator of z and 11/120.
600
Suppose 5*n = -d, 23 = 4*d + 3. Let a(t) = 8*t - 16. Calculate the lowest common multiple of 13*(-1)/n + 1 and a(3).
56
Suppose 3*m - 2*m - 525 = 0. Let u be (151194/40)/(36*2/10). Let y = m - u. What is the common denominator of -15/22 and y?
528
Let k = 175/19 - -14603/38. Let p = k + -410. Find the common denominator of (4/(-24))/(51/49 - 1) and p.
12
What is the common denominator of ((-6039)/(-244))/(0 - -1) and -39/202?
404
Let s = -2035 + 2046. Calculate the smallest common multiple of s and (-9)/(-7) - (-2)/(-7).
11
Suppose 0 = 2*r - 11 - 1. Suppose 4*o + 2 = 2*h, 5*h = -o + 5*o + 23. What is the lowest common multiple of r and ((-18)/63)/((-1)/h)?
6
Suppose 5*u = -3*t + 20, -5*t + 1 - 9 = -2*u. Suppose 2 = n + q + 2*q, -5*q = -3*n + 48. What is the least common multiple of n and u?
44
Let b = 788/7 - 748/7. Let z = b - 27/28. Find the common denominator of z and 19/28.
28
Let a(b) = -2*b**3 - 45*b**2 + 69*b + 18. What is the smallest common multiple of a(-24) and 27?
270
Let b(u) = u**2 - 8*u + 9. Let y be b(7). Let r = 525/11 + -2303/66. Calculate the common denominator of r and (-185)/210 + y/3.
42
Let y = 4/27023 - 11133584/729621. Let b = 647/54 + y. Calculate the common denominator of b and (-2)/(-7) + (-811)/(-126).
18
Calculate the common denominator of 59/26 and 1 + 3745/(-330) - (-2)/11.
78
Suppose -m + 2*z + 14 = 0, 0 = 3*m + 2*z - 6*z - 36. Suppose -3 = 4*b - 11. Suppose f = -f - v, -6 = -b*f + 2*v. What is the lowest common multiple of m and f?
8
Suppose -g + 42 = -2*w, 27 = -2*g + 5*w + 109. What is the smallest common multiple of 78 and g?
1794
Let n be (-155)/8*(-16344)/54. Let t = n + -5851. What is the common denominator of -19/18 and t?
18
Let o = 5/519 - -6559/1557. Calculate the common denominator of 7/33 and o.
99
What is the common denominator of 103/28 and ((-21)/(-14)*62/18)/(-2)?
84
Let z(x) = -x**3 + 2*x**2 + 3*x + 10. Let k(w) = w**3 - w**2 - 4*w - 11. Let i(p) = 3*k(p) + 4*z(p). What is the least common multiple of 33 and i(5)?
231
Let k be (-4)/(-14)*(10 + -3). Find the common denominator of -101/6 and 58/24 + 6/k.
12
Let w(p) = -p**3 + 6*p**2 - p + 7. Let s be w(6). Let r = -494 + 5013/10. Find the common denominator of r and 166/36 - (-1)/s.
90
What is the lowest common multiple of 24 and -2*2 + 2 + 4 - -6?
24
Let b = -2164 - -8715/4. Find the common denominator of b and (((-1335)/6)/(-5))/(-8).
16
Let z = 931/8 - 117. Calculate the common denominator of 38/(-44)*(-16 - -13) and z.
88
Calculate the common denominator of 25/6 and -8 + 3 + 295/(-1320) + 5.
264
Let y(x) = 230*x**2 + 20*x - 19. What is the lowest common multiple of 7 and y(1)?
231
Calculate the smallest common multiple of 95 and ((-3)/(-4))/((-33337)/(-2380) + -14).
1995
Suppose 2*b - 4*b - 18 = 0. Calculate the common denominator of -31*(b/6 + 5/5) and -89/2.
2
Let w = -1010 - -1019. What is the smallest common multiple of w and 283?
2547
Let k(h) = -4*h - 4. Let n be k(-6). Find the common denominator of (570/n)/((-27)/(-21) + 0) and -11/40.
120
Let z = 365 + -347. What is the smallest common multiple of z and 34?
306
Let r = -7342573483086/227829665 + -71/4649585. Let x = 32224 + r. Let z = 3245/392 - x. Find the common denominator of 1/9 and z.
72
Find the common denominator of -25/14 and ((44/12)/(-11))/((-62)/243).
434
Let j = -323 - -368. Calculate the least common multiple of j and 81.
405
Let x = 26 + -18. Suppose -5*g - x = -3*w, 0 = -3*w + 2*g - 6*g + 26. Suppose -12 = -h + 5*d, -h - 5*d = 2*h + 4. What is the lowest common multiple of h and w?
6
Let k(j) be the second derivative of j**5/20 + j**4/4 - j**3/6 + 3*j**2/2 - 24*j. What is the lowest common multiple of 6 and k(-3)?
6
Let l = 1535 - 4438. Let z = l - -58107/20. Calculate the common denominator of -77/12 and z.
60
Let x = 107/30 + 1001/60. Let v be (-37133)/9 + (-8)/72. Let n = 24817/6 + v. What is the common denominator of x and n?
12
Let g be 35/21*(4 - 1). Suppose g*h = r - 21, 3*h + 15 = r - 0*r. Calculate the least common multiple of r and 6.
6
Let u = -16 + 1. Let i = -13 - u. Suppose 3*h + 24 = 7*h. Calculate the lowest common multiple of h and i.
6
Let r = 2 - 1. Let p(j) = -16*j**2 + j. Let z be p(-1). Let y = z + 21. What is the smallest common multiple of r and y?
4
Calculate the common denominator of 41/4 and (7 - 2765/2548) + -6.
364
What is the common denominator of ((-55)/12)/(13/(-26)) and 45/112?
336
Suppose 3*v = v + 252. Suppose 2*l = -5*l + v. What is the smallest common multiple of l and 6?
18
What is the common denominator of (9/(-54))/(4/(-147)) and -47/32?
32
Suppose 5*m - 4*r - 35 = 0, -4*m - 3*r - 5 = -2. Calculate the smallest common multiple of m and ((-1 + 37)/4)/1.
9
Suppose -k - 48*k + 27391 = 0. Calculate the smallest common multiple of 9 and k.
5031
Let z(k) = k + 1. Let i = -4468 - -4469. Calculate the smallest common multiple of z(10) and i.
11
Suppose -1 = -0*o - o. Let y be 0 + o + 613923/96093. Let m = y + 1/21354. What is the common denominator of -3/4 and m?
36
Let n(q) = -11*q + 2. Let y(v) = 6*v. Let d(b) = -4*n(b) - 7*y(b). What is the least common multiple of 128 and d(8)?
128
Let x = -10711/476 + 30/119. Suppose -5*z + c - 222 = 0, -75 = 2*z - 3*c - 2*c. What is the common denominator of x and 1 - 4/((-44)/z)?
44
Let h(v) = v**3 + 13*v**2 - v + 7. Let i(z) = -z + 7. Suppose -q - 4*q = 20, -g = -5*q - 25. Calculate the least common multiple of h(-13) and i(g).
20
Let t(p) = 50*p - 5. What is the least common multiple of t(1) and 3?
45
Let r be 2/(-4) - (1317 + 2). Let x = -1272 - r. Find the common denominator of x and 103/6.
6
Let c(h) = -210*h - 502. What is the smallest common multiple of c(-3) and 80?
640
Suppose n + 0*n = 3*j + 109, -2*n = -j - 38. Let p(o) be the first derivative of o**2/2 + 5*o + 3. Calculate the common denominator of j and p(-4).
1
Let x(h) = h**2 + h - 16. Let p be x(5). Suppose z - p*z + 1274 = 0. Calculate the least common multiple of 16 and z.
784
Suppose 0*k = -4*k - 5*c + 5, 3*k - 3 = -4*c. Let m = -9 + 14. Let d = k + m. What is the least common multiple of 8 and d?
40
Find the common denominator of -173/30 and 4/(-30) - (-20)/40.
30
Suppose l = -l + 22. Let q(s) = -2*s + 34. Let h be q(15). Suppose 5*x - 2*z - 40 = 0, -3*x - 3 + 1 = h*z. Calculate the least common multiple of x and l.
66
Let y(x) = -x**3 + 8*x**2 - 3*x + 2. Let d be y(7). Suppose -4*n = -7*n + d. Calculate the smallest common multiple of n and 12.
60
Let g be 2 - (-9 + -1)*-2. Let x = -39/2 + g. Find the common denominator of (-202)/12*(-6)/(-20) and x.
20
Let y = -27911/1298 - -2/649. What is the common denominator of y and (-9)/48 + 3/6?
16
Suppose 43 = 5*u - 17. Calculate the least common multiple of u and (-8)/(-5 - (-92)/20).
60
Let p(m) = -21*m**2 + 11*m - 6. Let y be p(-6). Let o = -4173/5 - y. Calculate the common denominator of o and -1 + 196/54 + 0.
135
Let f = 363/4 + -1761/20. Calculate the common denominator of f and -87/526.
2630
Let c be (6/20)/(((-2115)/168)/(-5)). Let p = 31423/1410 - c. What is the common denominator of -13/5 and p?
30
What is the common denominator of ((-9)/(-54))/((-3)/243) and 101/102?
102
Let i(u) = -u**2 + u + 12. Let r = 3 - 4. What is the common denominator of i(7) and 71/(-20) - r/(-4)?
5
Let o = -549 - -2185/4. Let f be 94038/6664 - (-1 - (-7)/4). Let g = f - 74971/4284. What is the common denominator of g and o?
36
Calculate the least common multiple of 2 - ((-156)/15)/(4/10) and 196.
196
Let h = -911 - -1023. Calculate the smallest common multiple of 112 and h.
112
Suppose 3*g - 18 = -4*p + 16, -5*g + 2*p + 48 = 0. Let d = -59 - -10