lowest common multiple of 6 and (56/24)/(z*(-3)/108).
84
Let f = 20027/11 + -1823. Find the common denominator of 24/17 and f.
187
Suppose 76*x + 99 - 631 = 0. Suppose -5*j = -120 - 10. Let p = 37 - j. Calculate the smallest common multiple of p and x.
77
Let h = -159552 - -683042117/4281. Let y be 400847/(-119868) - 4/(-6). Let i = y - h. Calculate the common denominator of i and -111/20.
140
Let t = 59 + -21. Suppose 16*w + 8 = 24. Calculate the least common multiple of w and t.
38
Let w(f) be the third derivative of -f**4/12 - 7*f**3/6 + f**2. Calculate the lowest common multiple of 9 and w(-5).
9
Calculate the common denominator of 7/(-6)*(-6)/8 and ((-3487)/220 + 16)*109/3.
40
Suppose 4*j - 5*v = 132 + 52, -46 = -j - 3*v. Calculate the common denominator of j/24 + ((-2)/(-6) - 0) and -25.
4
Suppose -j = -3*k - 371 + 1891, -5*j + 4*k - 7622 = 0. Calculate the common denominator of (j/(-168))/((-1)/(-2)) and (-486)/40 - 3/12.
30
Suppose -2*y + 3*s = 121, -s - 156 = 3*y + 3*s. Let b = y - -62. Calculate the lowest common multiple of b and 68.
204
Let k be 222/8*(-5892)/(-990). Let p = k + -1908/11. What is the common denominator of p and 1/40?
40
Suppose -b + 2*s = 2, 2*s + 2 = 5*b - 2*s. Suppose -2*p = 2*p - 2912. What is the common denominator of 95/8 and b/4 - p/32?
8
Suppose 0 = j - 0*j - 2*v + 60, -5*j - v - 256 = 0. Let h = j - -61. Calculate the lowest common multiple of h and 18.
18
What is the common denominator of 119/10 and (-8625)/1060 - -6 - -2?
1060
Suppose -4*p + 6*p = 6. Calculate the lowest common multiple of 138 and p.
138
Let v(r) be the second derivative of 3*r**5/20 + r**4/12 - 5*r**3/6 + 3*r**2 - 17*r. What is the lowest common multiple of v(2) and 9?
72
Calculate the common denominator of 125/6 and 1 - 4/3 - (-57)/(-285).
30
Let b = -850 + 12739/15. Calculate the common denominator of b and -6/11.
165
Suppose -2*i - 4*w - 6 = -20, 0 = -4*i + 2*w + 18. Suppose 2*m - 1 = m - i*b, 0 = 4*m + 4*b - 20. What is the least common multiple of m and 14?
42
Suppose x = 5*u + 23 + 5, 2*x - 5*u - 51 = 0. Let h = x + -13. Calculate the lowest common multiple of h and 11.
110
Let d(w) = w + 126. Let o be d(0). Let i = -14249/4 - -3542. What is the common denominator of 0/(-1) + o/(-32) and i?
16
Suppose k = -1 + 4. Suppose 43 = 3*i - 2*h + 3*h, 4*i - 50 = -5*h. Find the common denominator of (-1442)/(-60) - k/i and 85/8.
24
Let w = 86 - 74. Let c = 16 - 36. Let f = c + 42. Calculate the least common multiple of w and f.
132
Let o = -223/42480 + -1/590. Find the common denominator of 89/16 and o.
144
Let b = -77207/8952 + -1/2238. Let i(f) = -f**2 - 10*f + 2. What is the common denominator of i(-9) and b?
8
Let n = 20556727/224315 + -33069/377. Let m = n - 15/119. Calculate the common denominator of m and -48/7.
35
Let p = 38 + -1286. Find the common denominator of 2/(-2) + (-34)/11 and (p/(-1365))/(((-8)/(-10))/(-2)).
77
Let k = 134 - 133. What is the least common multiple of 8 and k?
8
Let h be ((-4)/(-4))/((-2)/62). Let d = -25 - h. Let t(k) = -10*k**3 + k**2 + 2*k + 1. What is the least common multiple of t(-1) and d?
30
Let m = 9133/8148 + -4/291. What is the common denominator of 93/4 and m?
28
What is the smallest common multiple of (-195)/(-9)*1188/110 and 78?
234
Suppose 89 = 5*q - 56. Let z(t) = t**2 + t - 2. Suppose 5*i + 5*l = -25, 0 = -3*l - 3 - 0. What is the least common multiple of q and z(i)?
290
Let i be (-17 - -1)/(7/266). Let x = -9109/15 - i. What is the common denominator of 59/33 and x?
165
Let j be -1 - 5/((-20)/564). What is the common denominator of -51*(j/(-72))/7 and -53/10?
30
Suppose 0*u + 66 = -3*s + 2*u, 3*s + 4*u = -66. What is the lowest common multiple of 27 and (-52)/(-286) + (-458)/s?
189
Calculate the common denominator of 34880/(-52647) - (-2)/6 and 109/276.
1932
Let t be (-12*6/(-9))/(-2). Let m = t - -13. Calculate the lowest common multiple of 5 and m.
45
Let u(v) = v**2 - 12*v + 16. Let z be u(11). Suppose 2*w + 3*w - 100 = g, -w = -z*g - 20. Let o = 29 - 17. Calculate the least common multiple of o and w.
60
Let l be -12*(3 + -2)*5/1. Let s = l - -68. What is the smallest common multiple of 2 and s?
8
What is the common denominator of -2 + (-8 - (-295)/35) and 43/6?
42
Find the common denominator of (159/24)/(36/(-16)) and 23/9.
18
Let u = 42701/26 + -1643. What is the common denominator of -4 + ((-44)/(-330) - (-201)/(-90)) and u?
130
Let q = 20953/53800 + -6/1345. Find the common denominator of q and -5/12.
600
Let d = 20 - 16. Suppose 63 = d*k - k. What is the least common multiple of (93/k + -3)*7 and 2?
10
Let p = 58736441 + -29250771257/498. Let q = p - 8/249. What is the common denominator of (-165)/(-25) + (-2)/5 and q?
10
Suppose 5*d - n + 0*n - 109 = 0, 4*d - 4*n - 100 = 0. Calculate the lowest common multiple of 27 and d.
189
Suppose 8 - 24 = -4*s. Calculate the common denominator of 231/30 - (-4)/10 and s - (-3 + 191/6).
30
Suppose 53107 = o - 2*o. Let z be o/30 + 2/6. Let g = -1765 - z. Find the common denominator of g and -7/16.
80
Let q = -844109/45 - -18756. Find the common denominator of q and -113/108.
540
Suppose 13 = 4*w + 5*p, -2*w + 7*w + 2*p = 12. Let o = -4 + 8. Calculate the least common multiple of w and (-16)/o*6/(-3).
8
Let b = 1751/2 - 830. Calculate the common denominator of b and 1*(-2)/(-8) + 1843/(-152).
8
Suppose 0 = -2*r - 4*r + 42. Suppose 0 = -3*g + r + 11. Calculate the common denominator of 50/9 and 99/g*(-2)/(-12).
36
Let z(j) = -12*j + 7*j - 14*j - 1. Calculate the smallest common multiple of z(-1) and 2.
18
Suppose -4*j - 15*k = -9*k - 18, 4*k = -4. Let g = 10 + 1. Suppose 2*z - 5 = g. Calculate the lowest common multiple of j and z.
24
Calculate the common denominator of 4/(-972)*68*-3 and 29/45.
405
Suppose -85 = -5*q + 2*f + 15, -4*q + 5*f + 80 = 0. Let t(p) = -p**2 + 8*p - 5. Let a be t(7). Let d = 3 + a. Calculate the lowest common multiple of d and q.
20
Let g = -37 + 37. Suppose -5*s - 1 + 6 = g. Calculate the lowest common multiple of s and 3.
3
Let r be -4 - -1 - (3 - -23). Let v = r - -51. What is the least common multiple of v and 60?
660
Let q be ((0 - -8)*-1)/2. Let t(n) = -n + 3. Let v be t(-11). Calculate the smallest common multiple of (v - (q + 2)) + -2 and 14.
14
Let s = -541 + 561. What is the lowest common multiple of s and 86?
860
Let i = -46264403/7740 - 2693/860. Suppose 0 = -4*c - 2*b + 23954, 9*c - 5*b = 4*c + 29935. Let x = i + c. Find the common denominator of x and -49/10.
90
Suppose 0 = -2*y - y + 18. Let m(u) = -u**3 + 6*u**2 + 2*u - 8. Let i = 20 + -8. Calculate the smallest common multiple of m(y) and i.
12
Let d be (-3)/((-3)/(-1)) - 331. Let i = -611/2 - d. What is the common denominator of 49/20 and i?
20
Suppose -4*v = 3*p + 20, 0 = 4*p - v + 2*v + 18. Let s(c) = 2*c**2 + 4*c - 4. Calculate the smallest common multiple of s(p) and 42.
84
Calculate the common denominator of -77/10 and -6*(-2)/126*69.
70
Let g = 0 - -7. Suppose 10 = -g*o + 2*o. Find the common denominator of 226*o/(-24) - 0 and -9/8.
24
Suppose 3 = 2*h + v, -5*h + 7*v = 2*v + 30. Calculate the smallest common multiple of 5 and h/((27/6)/(-9)).
10
Let s(v) = -v**3 + 7*v**2 - 3*v + 2. What is the lowest common multiple of s(6) and ((-10)/(-4))/(320/512)?
20
Let h = 4506889590 + -43176002328463/9580. Let s = 11/479 + h. What is the common denominator of -37/16 and s?
80
Let y be ((-24027)/(-6))/(3/6). Let q = y + -256309/32. Let d = 1688 - 6793/4. Find the common denominator of q and d.
32
Let o = 29577 - 61977/2. Let u = 2357 + -907. Let n = o + u. Calculate the common denominator of 51/10 and n.
10
Suppose -31 = -3*k - 22. Suppose 5*q - 70 = -k*i, 0*i + 16 = q + i. Suppose 48 = 5*b - 2*w, 5*w + 1 + 3 = -2*b. Calculate the lowest common multiple of q and b.
88
Suppose 5*i - 32 = 23. Let u(p) = i*p**2 + 1 + p - 2 + 2*p - 2*p. What is the lowest common multiple of u(1) and 1?
11
Let o = 6 + -1. Let s be ((-9)/6)/((-9)/(-60)). What is the smallest common multiple of 1 - -1 - s - 2 and o?
10
Let n = -93815/46728 - -14/649. Find the common denominator of 47/88 and n.
792
Let y(g) = g**3 + 18*g**2 - 19*g + 28. Calculate the least common multiple of 63 and y(-19).
252
Let z(l) = 2*l**2 + 19*l + 4. Suppose 50 = -15*w + 10*w. What is the smallest common mu