et m(i) be the second derivative of -i**4/12 + 10*i**3/3 - 9*i**2 - 7*i + 4. What is the smallest common multiple of m(6) and 60?
660
Suppose 0*l - 4*l - 360 = 0. What is the common denominator of (32/264)/((-4)/l) and 4 + (-1898)/288 + 6/(-27)?
176
Let x = 634821/49 + -12956. Find the common denominator of x and 862/(-504) - 32/(-144).
588
Suppose 0 = 11*t - 20*t + 117. Suppose -4*j + t - 5 = 0. Calculate the lowest common multiple of j and 12.
12
Suppose -62*d = -6312 + 2282. What is the smallest common multiple of 39 and d?
195
Calculate the common denominator of 4/175 and (-131278)/(-11760) + -9 - (-2 + 1 - -3).
4200
Let y = -28681405/318 - -90193. Find the common denominator of y and 143/24.
1272
Let i = 7559/6200 - 271/310. Find the common denominator of i and -27/365.
14600
Suppose -2*j - 982 + 270 = -3*x, 5*j = 2*x - 460. What is the least common multiple of 36 and x?
720
Let h = -22219/20 + -443/10. Let f = -1149 - h. Let y = 10186 + -122141/12. What is the common denominator of f and y?
12
Suppose -44 = 3*v - 581. Suppose 3*b + c + v = b, b = -4*c - 86. Find the common denominator of 41/16 and (-4)/(-10) + (-474)/b.
48
Let h = -3465481041988867/54891 + 63133866067. Let f = h + -8/2889. Let s = -372/133 + f. Find the common denominator of 32/17 and s.
119
Let y(v) = -115*v + 1317. Calculate the lowest common multiple of 312 and y(11).
312
Let c = 313697378915629/10150 - 30906145738. Let d = 1049/29 + c. Let p = 84/25 - d. Calculate the common denominator of p and -7/20.
140
Let c be (-90)/(-25) + -3 + 446197/(-49720). Let o = c - 1/1243. Calculate the common denominator of o and (1/2)/(92/(-437)).
8
Let k = -30 + 33. Suppose k*f = 6*f. Suppose f = -9*u + 11*u - 36. What is the lowest common multiple of u and 21?
126
What is the common denominator of -47/16 and (-4)/(-18) + 0/6 + 3792294/(-17335296)?
29184
What is the common denominator of -3*(-2 + 5) + 62/(-24) and (119/(-20))/(2/(-4))?
60
Suppose 4*y - 88 = -3*d, 6*d = 3*y + 2*d - 91. Calculate the lowest common multiple of (21/14)/(3/4) + 53 and y.
275
Let u be 2/1*2498/156. Let c = -45676 - -594486/13. Let v = c - u. What is the common denominator of v and -65/4?
12
Suppose -10*y + 59 + 71 = 0. Suppose -8*a - 50 = -y*a. What is the smallest common multiple of a and 65?
130
Suppose u = -9 + 7. Let w = 25087/414 - 1326/23. What is the common denominator of 0 - (u - (-375)/72) and w?
72
Suppose -81*z + f + 20 = -77*z, 2*f = -z - 13. Calculate the least common multiple of 2376 and z.
2376
Let y = 69/53 - 4571/1272. Let t(j) = -2*j**3 + j**2 + 7*j + 2. Let v be t(5). Calculate the common denominator of (v/(-64))/(-2 + 1) and y.
48
Let y = -336508 - -102298343/304. What is the common denominator of y and 59/8?
304
Calculate the common denominator of (-14)/(-8)*(-6)/150 and 2514/900 + 133/114 + (-6)/4.
100
Let m = -573/7 - -4940/63. Let r = -157303/3 - -51594. Let j = -831 - r. What is the common denominator of m and j?
9
Suppose -3*x - 16 = -4*m, 4*x - 45 = -5*m + 6. Let p be (-2*2)/(m/84). Find the common denominator of (424/p)/(5/(-3)) and 19/11.
110
Let s = -1571 + 55012/35. Calculate the common denominator of -31/10 and s.
70
Let c be ((-289)/(-36)*-2)/(2/15). Let p = c + 647/6. Find the common denominator of 113/36 and p.
36
Suppose f - 1 = -1. Suppose -3*v + 7 + 23 = f. Suppose -c + 4*g = -v, c - 2*g - 18 + 4 = 0. Calculate the lowest common multiple of 16 and c.
144
Let c = -3217/106 + 45/53. Calculate the common denominator of 67/218 and c.
218
Let q be 2*(-3)/12*-20. Find the common denominator of 41/3 and 1*2/q*-47.
15
Suppose 0 = -2*w + u + 1899 + 2576, -u = -5. Calculate the least common multiple of 4 and w.
2240
Let x = -1520 - -1524. What is the smallest common multiple of 5908 and x?
5908
Let c(k) = -k**3 + 36*k**2 + 209*k - 140. Calculate the least common multiple of c(41) and 21.
168
Let v = -3 + 5. Suppose 1 = v*i - 3. What is the least common multiple of ((-72)/(-540) + (-4)/3)*-5 and i?
6
What is the least common multiple of 131 + (3 - (8 - -4)) and 4?
244
Suppose -3*k = j + 1, 2*j + 3*k + 3 = 1. Let y be (-2)/(8/(-18))*2. Calculate the common denominator of 123/y*(j + (-50)/(-44)) and -29/8.
88
Calculate the least common multiple of (13 - (3 + -14))*2/6 and 3056.
3056
Let j(k) = 2*k**3 + 33*k**2 - 9*k - 40. Let f be j(-16). Suppose -7*g = -3*g - f. Calculate the smallest common multiple of 10 and g.
90
Let z(d) be the third derivative of 29*d**4/24 - d**3/6 - d**2. Let w = 66002 - 65958. What is the lowest common multiple of z(1) and w?
308
Let p be (-4)/6*8/(-16)*15. Suppose 9 = 2*y + p. Suppose -2*o + 4*c - y = -34, 0 = 5*o + 4*c - 94. What is the least common multiple of o and 9?
18
Suppose 0 = -3*z + 4*b + 70, 205*b - 187*b = -18. Suppose 3*t + 9 = 5*u, 4*t + 4*u + u = 23. Calculate the lowest common multiple of z and t.
22
Let b(z) = -50*z - 23. Let y be b(-13). Find the common denominator of -87/32 and 8/(-24) + y/18.
32
Let y be (-13 + 20)*-1*12/(-14). Calculate the common denominator of 375/54 - (-2)/(-1) - y and ((-1)/(-6))/(1/(-29)).
18
Calculate the common denominator of 29/3648 and (-14)/112 - 3263/(-5928).
3648
Let s = -8562 - -10608. What is the lowest common multiple of s and 264?
8184
Suppose -u - 1 = -2. Let c = 18 + -17. What is the least common multiple of c/(0 + (-1)/(-9)) and u?
9
Suppose -23*y + 27*y + 480 = -4*g, -3*y + 3*g = 330. What is the common denominator of -17/2 and (-88)/(-70) - 23/y?
70
Calculate the least common multiple of 112 and -16*(12 + 2)*(-17)/34.
112
What is the smallest common multiple of ((2/6)/(4/(-12)))/((-25)/35775) and 3?
1431
Let n(b) = -b**3 - 18*b**2 + 15*b - 16. Let c(r) = r**2 + 20*r + 32. Let z be c(-17). Calculate the lowest common multiple of n(z) and 18.
180
Let k(h) = -17*h + 71. Let b be k(10). Let l = -69 - b. Let t = 8 + 4. What is the smallest common multiple of l and t?
60
Let j = 22175/13 + -8427943/4940. What is the common denominator of j and 8/475?
1900
Let v = -21887/45 + 197987/720. Let o = -22184 - -131803/6. Let i = v - o. Find the common denominator of 33/20 and i.
80
Suppose t + 3*c = -0*c + 62, 0 = -c + 2. Suppose -3*u - 375 + 375 = 0. Suppose u*p + t = 2*p. Calculate the common denominator of p and 29/4.
4
Let i(b) = -86*b**2 + 2*b + 20. Let r be i(6). Let t be (-1)/4 + r/(-1728)*-3. Let v = -58/9 - t. What is the common denominator of 101/16 and v?
16
Let v(o) = o**3 + 8*o**2 + 4*o + 17. Let n be v(-8). Let g = 3 - n. Suppose -4*f + 13 = -11. What is the least common multiple of g and f?
18
Let d be 1/((-102)/26 - -4). Suppose -d*y + 360 = -23*y. Calculate the common denominator of -31/330 and y.
330
Let h = -470/167 + 60193/16700. Calculate the common denominator of h and (-4)/(-2) - (-351)/(-240).
400
Let q(z) = 6*z**2 + 6*z. Let d be q(5). Find the common denominator of 11/32 and (-103)/28 - d/(-72).
224
Let x(b) = -b**3 + 4*b**2 + b - 4. Let g be x(4). Suppose 0 = -2*r + 2*a + 14, -r + g*r - a + 5 = 0. What is the least common multiple of 4 and 72/5 + r/(-15)?
28
Let m = 9812813/5910 + 1138/591. Let q = m + -1673. Calculate the common denominator of (822/(-144) + 7)*-4 and q.
30
Let m = 2/7947 - 389423/79470. What is the common denominator of m and -31/3966?
19830
Let w be 0 - (33996/(-210) - 7). Let d = -878/5 + w. Calculate the common denominator of 33/137 and d.
959
Let m = -55 + 57. Suppose -18*a + 16*a = m. What is the smallest common multiple of 8 and (-3)/((-5 - a)/8)?
24
Suppose 0 = -5*o + 3*u + 216, 5 - 11 = -2*u. What is the smallest common multiple of o and 594?
2970
Let f(u) = 474*u + 5. Let r(i) = -i + 1. Let l(d) = f(d) + 2*r(d). Let z be l(-7). Let g = z - -32999/10. Calculate the common denominator of 5 and g.
10
Let g(s) = 39*s**3 - s**2 + 3*s - 1. Suppose -4*b - 4 + 8 = 0. Let n be g(b). What is the least common multiple of n/6 + (-6)/(-18)*-2 and 3?
6
Let h(v) = 5*v - 64. Let i be h(13). What is the common denominator of -89/58 and i - 194/(-24) - -2?
348
Suppose 5*x = 5 + 15. Suppose 0 = -x*o + 5*v + 138, 0 = v + v + 4. Let r = 34 - o. Calculate the smallest common multiple of r and 14.
14
Let x(u) = -u**3 + 25*u**2 + 10*u - 242. Suppose -h - 5 = -2*h. Suppose -h*z + z = -32. What is the least common multiple of x(25) and z?
8
Let x = 595 + -350. Let u be 4/(-6) +