pose -j = 2*f - 4*f + 4, 5*j = 0. Suppose -f*i = -17*i + 240. Calculate the least common multiple of i and (-2)/3 - 50/(-3).
16
Let b(p) = p**3 - 3*p**2 + p - 1. What is the least common multiple of b(3) and 6/(702*90/3942 - 16)?
438
Suppose -81 + 9 = -6*g. Calculate the smallest common multiple of 234 and g.
468
Let n be (268/36 + -7)*9. Suppose u - 12 + n = 5*s, u - 24 = -3*s. What is the smallest common multiple of 10 and u?
90
Suppose 99*s = 53*s + 184. Suppose -2*d + 13 = r - 3*d, -3*r - 4*d = -74. Calculate the lowest common multiple of r and s + 22 + (-2 - 6).
18
Let o(w) = w - 5. Let g(f) = f**3 + 11*f**2 - 10. Let q be g(-11). Let k be o(q). Find the common denominator of -103/6 and (k + 14)*(-37)/5.
30
Suppose -3*s - 96 = 5*f + s, 0 = 3*f + 5*s + 68. Let z(t) = -23 + t - 2*t - 5*t + 4*t. What is the smallest common multiple of z(f) and 5?
45
Let l be 11 + 38/(-6) + 7/21. Let q(j) = 35*j - 174. What is the lowest common multiple of q(l) and (-9)/((0 + 1)*-1)?
9
Let k be 5 + ((-15)/12)/(2/(-24)). Let m = 47 - k. What is the least common multiple of 75 and m?
675
Let f(q) be the second derivative of -q**3/6 - 3*q**2/2 + 8*q. Let w be f(-1). What is the smallest common multiple of 5/(w - (-13)/4) and 10?
20
Let x = 335893/12 - 27999. What is the common denominator of x and -109/3168?
3168
Let v = -14845 + 163246/11. Let f = 23 + -187. Calculate the common denominator of v and (f/8)/(1 + -36).
770
Suppose 5*o + 171 = -324. Let b be 6*(-1 - 203/14). Let k = b - o. What is the least common multiple of k and 2?
6
Let a(z) = -2*z**2 + 40*z - 34. Let g be a(17). What is the least common multiple of (g - 41)/((-1)/(-1 - 0)) and 8?
216
Let g be 124990/264176 + 37/407. Let i = 43/79 - g. Find the common denominator of i and -54/19.
152
Let o be 5/60*30*(0 + 36). Find the common denominator of -67/2 and (-15)/5*(-565)/o.
6
Calculate the common denominator of 109/920 and (-25149)/202*3/19044.
21160
Let a = 735 + -750. Suppose s = p - 0*s - 37, -4*s + 167 = 5*p. Let n = a + p. What is the least common multiple of n and 24?
120
Suppose 5*g - 731 + 91 = 0. Suppose -77*f = 24*f - 4444. What is the least common multiple of g and f?
1408
Let m = 176 - 111. Calculate the smallest common multiple of 4 - (4/34 - 2) - (-52)/442 and m.
390
Suppose 0 = -5*f + s + 1854 + 17455, 4*f = -4*s + 15428. Find the common denominator of (-1)/(-2)*159/48 and f/(-36)*(-1 - 30/(-27)).
96
Suppose 25*n - 27*n - 203 = -5*t, 5*n - 10 = t. Let o(i) = 2*i**2 - 2*i. What is the lowest common multiple of o(3) and t?
180
Suppose v = -4*v - 5*s + 140, -23 = -v - 2*s. Let q(b) = 10*b**3 + 6*b**2 - 2*b + 3. Calculate the lowest common multiple of q(3) and v.
3531
Let d = 594 - 5076. Let a = d + 120988/27. Find the common denominator of 127/12 and a.
108
Let x = 170 + -132. Let g = x - -46. What is the least common multiple of g and 8?
168
Suppose 5 = 2*l + 3. Let x be 3*(-3 - (-8)/(-6)). Let d(b) = b + 14. What is the lowest common multiple of l and d(x)?
1
Let f = -15777 + 1356893/86. Let m = 1569/860 + f. Let u = 4040/11 + -366. Calculate the common denominator of m and u.
220
Suppose -5*z = 5*p - 120, -90 = -3*z + 3*p - 0. Let g = 809 + -776. Calculate the smallest common multiple of g and z.
297
Let h(u) = 2*u**2 - 15*u - 15. Let j be h(11). Let a = j + -52. What is the common denominator of -62/27 and a/(-1 + (-295)/(-85))?
189
Let c = 12/13789 - 2056217/1902882. Let s = -5/22 + 943/132. Find the common denominator of c and s.
276
Let f = 8929 - 8917. Calculate the smallest common multiple of 9216 and f.
9216
Let x(s) = s**2 - 2*s. Let r be x(3). Calculate the smallest common multiple of r*(20 + -2) + 0/13 and 30.
270
Calculate the common denominator of 61/12 and (-27)/504*-8 - (-13263)/(-36288).
1728
Let z(g) = -g**3 - 51*g**2 - 79*g - 1114. Calculate the lowest common multiple of z(-50) and 624.
4368
Suppose 5*j + 556 + 219 = 5*i, j - 5 = 0. What is the least common multiple of 320 and i?
320
Let a(g) be the first derivative of 2*g**3/3 - 4*g**2 - 3*g - 3. Calculate the lowest common multiple of (180/(-75))/(2/(-5)) and a(7).
78
Suppose 0 = 4*b + 5*c - 453 + 121, 0 = -3*b + 3*c + 276. Suppose -3673*h + 3683*h - 30 = 0. What is the lowest common multiple of b and h?
264
Let f = 23 + -5. Calculate the common denominator of (-4)/f + 6537/(-1080) + 4 and 1/32.
160
Let a = 701/98 + -15433/2205. Find the common denominator of -67/36 and a.
1260
Suppose l = 3*w - 207 + 58, -28 = -w - 4*l. What is the smallest common multiple of (11 - -10)/1 + -3 and w?
144
Let f = -863442017/1620 + 532989. What is the common denominator of 1/1890 and f?
11340
Let f(h) = 11*h + 37. Let n be f(8). Suppose -5*c - n + 35 = 0. Let k = 24 + c. Calculate the least common multiple of 20 and k.
60
Suppose 0 = 3*a + 3*s - 5447 - 1657, 0 = 2*a + 3*s - 4733. Let f = -75885/32 + a. Calculate the common denominator of (-121)/(-40) - (3 + -2) and f.
160
Calculate the smallest common multiple of 105 and (-5671)/(-27) - 300/8100.
210
Let z = 176951/20 + -8851. Calculate the common denominator of -9/1912 and z.
9560
Find the common denominator of -43/1144 and -5 + 32600/32*112/22880.
1144
Let a = -25009/9000 - -391/375. Calculate the common denominator of a and 119/90 - (-3 + 5).
360
Suppose 188 - 34 = 2*k. Let o = k - 23. Let q = o + -188/3. Find the common denominator of 1/16 and q.
48
Let t(x) = 2*x - 2. Let m be t(-2). Let b be m/(-10) - -31*(-3)/205. Let f = b + -833/369. What is the common denominator of f and -50/49?
441
Let n = -33 + 34. Let l be (-1578)/14*-4 - n. Let j = 451 - l. What is the common denominator of j and 59/6?
42
Suppose -5*a + 745 = 5*j, -3029*j = -3027*j - 4*a - 268. Let t = -12 + 60. What is the lowest common multiple of t and j?
144
What is the common denominator of 1852/(-1496) + (-20)/(-220) and -22/89?
3026
Let i = 7477/354 + -194/59. What is the common denominator of (2 - -16)/(-3) - (-1156)/85 and i?
30
Let n = 14122 - 14052. What is the lowest common multiple of n and 175?
350
Let j be (0 + 1 - -12)/((-9)/(-153)). Suppose 14*o = 795 - j. Let g = 49 - o. What is the lowest common multiple of 10 and g?
40
Let g = 450 - 108. Calculate the lowest common multiple of 190 and g.
1710
Let r = -68 - -82. Let t(u) = -u + 19. Calculate the least common multiple of 6 and t(r).
30
Suppose -3*p + 5*m = -p - 242, -5*m = 0. Let q = -39717/116 - -1375/4. What is the common denominator of (-517)/p*1/2 and q?
638
Let j(w) = -15*w + 30. Suppose 0 = -9*d + 218 - 2. Calculate the smallest common multiple of j(0) and d.
120
Let t = 28 - 22. Suppose 5*y - 106 = -t. Let u = y - 11. What is the lowest common multiple of 11 and u?
99
Let o = 531 + -22849/43. Let l = o + 574/387. Find the common denominator of l and 2/(-6) - (-434)/(-12).
18
Let v = -153 + 158. Let k(r) = 2*r**2 + 20*r - 63. Calculate the lowest common multiple of k(v) and 18.
522
Suppose 0 = -3*a - a - 52. Let m = 31 + a. Let o(z) = z**2 - z - 26. Calculate the least common multiple of m and o(-7).
90
Let h = 107 - 102. Suppose -w = h*c - 730, 0 = -3*w + 5*w. What is the smallest common multiple of 12 and c?
876
Let v = -166/29 + 2122/87. Let d be ((-674)/16 + -1)*-1. Let r = 43 - d. Calculate the common denominator of r and v.
24
Let g be (-126319)/(-10738) + 16/(-6) + 2. Let c = -152/13 + g. Calculate the common denominator of c and 50/77.
462
Let u(o) = -8*o**2 + 6*o - 57. Let b be u(4). Calculate the smallest common multiple of 3 and b/(-92) - 26/(-8).
15
Let p = 509 - 469. Suppose 0 = r - 3*r, -5*t + 5*r + 175 = 0. Calculate the smallest common multiple of t and p.
280
Let v(m) = -2347*m**2 + 4*m + 19. Let y be v(-5). Let i = 8449493/144 + y. What is the common denominator of i and -4/9?
144
Let a be -6 + (361575/(-15147))/(-5). Let d = a + 2/561. Let y = -667 - -3383/5. Find the common denominator of y and d.
45
Let i = 5/92 - 1599/644. What is the common denominator of 5/3962 and i?
3962
Find the common denominator of 151/150 and (10/12)/((-1)/39*(-378 - -360)).
900
Suppose 916 - 22 = 3*z. Let r be (-17)/34*(-1)/z. Let u = -4469/596 - r. Calculate the common denominator of -1/3 and u.
6
Let p = -11906 - -190407/16. What is the common denominator of -119/270 and p?
2160
Let c = -7262 - -72557/10. Find the common denominator of c and 