 i = y + -996269/183216. Find the common denominator of i and (2/6)/(21/(-153)).
112
Let p = 70 + 77. What is the common denominator of -2/39 and (-1)/(-3) - p/72?
312
Let t(g) be the second derivative of g**4/12 - g**3/2 + g**2/2 - 21*g. Let j(z) = -2*z. What is the lowest common multiple of t(5) and j(-3)?
66
Suppose 0 = 5*a - 1 - 24. Suppose 40*p = 45*p + 65. Calculate the lowest common multiple of (6/27)/(p/(-351)) and a.
30
Suppose 3*y - 3250 = -y - 2*l, 4*y - 3244 = 4*l. Let p = y + -734. Calculate the least common multiple of 78 and p.
78
Let c be 441/9*(-30)/(-35). What is the common denominator of -1/28 and (-3*24/54)/(c/23)?
252
Let z = 656 + -410. What is the common denominator of 73/30 and z/27*(-1)/26?
1170
Let d = 149408 + -149406. Let f(z) = z**2 + 2*z - 2. Let r be f(-2). Let n(c) = c**2 - 2*c - 2. Calculate the smallest common multiple of n(r) and d.
6
Suppose 0 = 8*d - 48 + 8. Suppose -d*b = 2*a - 143, a + 4*b - 28 - 36 = 0. What is the smallest common multiple of 24 and a?
168
Let k = -2/1306358141 - 1980709357891007/117572232690. Let a = -16847 - k. What is the common denominator of -17/81 and a?
810
Suppose 235 = -3*c + 259. What is the smallest common multiple of 186/18 + c/12 and 5?
55
Suppose 0 = -33*k - 30 + 756. What is the smallest common multiple of (-8)/10*(-3 + (-7029)/k) and 21?
1806
Suppose 214826 = 193*r - 53830. What is the smallest common multiple of 112 and r?
9744
What is the common denominator of 67/66 and -1*(-1 - 656/(-660))*-103?
330
Let p = -8589/13 - -1373473/2080. What is the common denominator of p and -47/96?
480
Let k(m) = m**3 + 7*m**2 + 5*m + 6. Let y = 1 + -7. Calculate the least common multiple of (4*1/13)/(290/15080) and k(y).
48
Let s = 479 + -15353/32. Find the common denominator of s and 97/12.
96
Let p = -1399/2544 + -2/159. Let z = -194141/2 + 94575. Let u = z - -2445. Calculate the common denominator of u and p.
16
Suppose 4*u + 3*n = 52, 0 = 2*u + 2*u + n - 44. Let l be (-357)/(-5) + (-4)/u. What is the common denominator of (0 - l/1)*(-1)/21 and 145/6?
42
Suppose 0 = -4*w + 3*j + 360, 11*w - 9*w - j = 180. What is the lowest common multiple of w and 162?
810
Let g = -6199483/6 + 1035898. Let b = 2664 - g. Find the common denominator of b and 87/16.
48
Let z = 17291 - 1210401/70. Let k = 110/387 + -11617/7740. What is the common denominator of k and z?
420
Let l = -5564653/39183966 - -564/4009. Find the common denominator of -2/189 and l.
68418
Let p be 70/42 - (-921)/9. Suppose 8 - p = -8*q. What is the lowest common multiple of q and 92?
276
Suppose -5*g - 5 = 15. Let t(v) = -3*v + 15. Let r be t(g). What is the common denominator of 438/r*(-5)/20 and 73/18?
18
Let y = 70141/24 - 2923. What is the common denominator of -173/120 and y?
120
Let u = -1898011/440 + 13587/55. Let m = -4056 - u. What is the common denominator of 51/8 and m?
8
Let q = -2/97 - 5311/1164. Let h be -84 + 81 - 19*7. Calculate the common denominator of (146/96 - 2) + h/(-204) and q.
48
Suppose 5*s - 4*m - 30 = -85, 0 = s + 2*m - 3. What is the common denominator of (18/(-8))/(2/9) and (s - (-3 + -7)) + (-146)/(-24)?
24
Let t = -4/175 - 1011/175. Calculate the common denominator of -38/221 and t.
1105
Let s be 1 - -3 - (-3)/((-3)/(-2)). What is the common denominator of s/5*(-160)/45 and 2/(-72)*2 - -4 - -3?
90
Suppose 18 = s - 2*r, -s + 5*r = 64 - 100. What is the lowest common multiple of s and 34?
102
Suppose -2*x + 56 = 4*n, n = 5*n + 5*x - 56. Calculate the common denominator of (n/(-21))/(12/(-207)) and (-1308)/(-81)*18/48.
18
Suppose q - 5 = 6*q, 5*q - 190 = -5*l. Suppose -l*g + 120 = -660. What is the lowest common multiple of g and 22?
220
Let d(i) be the first derivative of -5*i**2/2 + 26*i - 7. Let l be d(6). What is the lowest common multiple of 7 and -1 - 0/(-3) - l?
21
Find the common denominator of 70/800*-2*113/(-7) and -89/114.
2280
Suppose 959 = 39*d - 35*d - 2121. Calculate the least common multiple of d and 132.
4620
Let t(k) = -k**3 - 6*k**2 + 17*k + 51. Let f be t(-7). Calculate the common denominator of -44 + 1 + (-17 - f) and (9/(-48) + -2)/2.
32
Let f = -61 + 63. Suppose -2*u + 3*u + f*u = 0. Suppose u = -2*i + s + 33, -4*s - 50 - 26 = -4*i. What is the smallest common multiple of i and 5?
70
Let d(w) = w**2 + 20*w + 156. What is the lowest common multiple of 1932 and d(-6)?
11592
Suppose -58*r + 17*r + 16441 = 0. Let d = r + -357. What is the smallest common multiple of d and 24?
264
Let z = 18473/4344 + -8/181. Let h = 845943373/641946825 - 1/5706194. Let k = -16/225 - h. Calculate the common denominator of k and z.
72
Suppose 60 = 10*y - 4*y. Let w(c) = -c - 10. Let t be w(y). What is the common denominator of 8/t*(-2055)/108 and -55/102?
306
Calculate the common denominator of 97/14 and (-36)/(-24) - (119840/(-8071))/(-10).
16142
Suppose 4*z + 1 = -15. Let t(q) = -6*q - 11 - 19 + 13. Calculate the least common multiple of 3 and t(z).
21
Let h = -41 - -81. Let n = -96 - -120. Suppose -2*p = -h + n. What is the smallest common multiple of p and 6?
24
Let j(r) = -1837*r + 1928. What is the smallest common multiple of j(0) and 11?
21208
Let g(z) = 89*z + 418. Suppose -5*c = x + 25, 0 = 3*x - x + c + 5. Let q = x - -20. What is the smallest common multiple of g(-4) and q?
620
Let m = 114 - 94. Let l(q) = 20*q**2. Let h be l(1). Suppose -h = -5*g + m. What is the least common multiple of g and 6?
24
Let y(i) = -347*i + 5529. What is the lowest common multiple of y(15) and 162?
324
Let j(l) = 3 - 4*l + 122 + 132 - 8*l - 23. What is the least common multiple of 11 and j(19)?
66
Let r(v) = -v**3 + 9*v**2 + v - 3. Suppose b = j + 13, -4*b + 3*j - 30 + 78 = 0. What is the lowest common multiple of b and r(9)?
18
Let j be (-5 - 4743/(-945))*(-203)/312. Let g = 1/65 - j. Calculate the common denominator of g and -13/54.
108
Let s be (1 - (-32313)/(-2))/(-35). Let n be 742/(-35)*(-129)/6. Let t = n - s. Find the common denominator of t and -57/4.
28
Let k = -595625 + 350227649/588. Find the common denominator of 81/784 and k.
2352
Let f = -227040371/30 + 7567210. Let s = f - -804. Calculate the common denominator of 73/2 and s.
30
Let y(l) = -2*l**2 + 34*l + 85. Let f(w) = w + 6. Let t be f(0). Let d = -3 + t. What is the smallest common multiple of y(-2) and d?
9
Suppose -3*a + 4*l = 117, -4*l = -3*a - 2*a - 195. Find the common denominator of (-10)/470*98/2 and a.
47
Let j(x) = x**3 + 23*x**2 - 54*x - 70. Let p be j(-25). Suppose l - 10 - 26 = -4*q, 2*q + p = l. What is the smallest common multiple of l and 44?
352
Let s = -2351 + 324499/138. Calculate the common denominator of 19/69 and s.
138
What is the common denominator of -23/18 and ((-504)/(-63288))/((-2)/(-15))?
5274
Let c = 362 - 2933. Let m = c + 56589/22. Find the common denominator of (-290)/(-12) - 2/(-2) and m.
66
Suppose 5*t - 22 = -3*h, -5*t - 8*h + 3*h = -30. Suppose t*i = -i + 27. Suppose 0 = 7*q - 23 + i. What is the lowest common multiple of 6 and q?
6
Let h = 4835631/58 - 83374. Let p = 5243/6 + -870. What is the common denominator of h and p?
174
Let n = 396307652/33 + -12010467. Let x = 1144 + n. Calculate the common denominator of -43/3 and x.
33
Suppose 5*t - 55 - 95 = 0. Suppose -2*g = 7*g - 9. Let j(h) = 27*h**2 - 5*h + 5. Calculate the least common multiple of t and j(g).
270
Let y = 2/6765 + -399151/54120. Let x(j) = 59*j**2 + 3*j + 10. Let q be x(-2). Find the common denominator of 134/q - 17/51 and y.
40
Let d = 57 - 55. Suppose -d*z - 132 = -6*z. Calculate the lowest common multiple of z and 63.
693
Calculate the smallest common multiple of (((-33)/(-66))/((-21)/(-72)))/((-2)/(-28)) and 954.
3816
Suppose 4*g = t + 20, -116*g + 121*g - 4 = -4*t. What is the lowest common multiple of 126 and g?
252
Let u = -31772 - -2223989/70. Let z = -15802 + 631979/40. What is the common denominator of u and z?
280
Let q = 2714 + -24434/9. Find the common denominator of (-14)/49 - ((-740)/42 - 0) and q.
9
Suppose 22*g = 17*g + 10*g - 1890. Suppose 19 = -d + 30. What is the least common multiple of g and d?
4158
Find the common denominator of -31/6 and ((-1154763)/(-57646) - 16) + -4.
9102
Suppose -3*i - 128*a + 82 = -126*a, i - 14 = 2*a. Suppose 2*p - 19 = -z - 7, 4*p + 4*z - i = 0. What is the least common multiple of 14 and