o - 41*o. Calculate the smallest common multiple of r(8) and 16.
16
Let g = 9687/11 + -882. Let m(u) be the second derivative of -5*u**3/6 + 10*u**2 + 20*u. What is the common denominator of m(8) and g?
11
What is the common denominator of 18 - 7 - 14 - (-179)/40 and (-2)/(-8) + 3/(1500/(-305))?
200
Let l = -2438877862555 + 511281477351286621/209638. Let a = l - 2/9529. Calculate the common denominator of 43/2 and a.
22
Suppose 0 = -3*p + 1 + 8. Suppose -4*a - p*a = -21. Suppose 2*s = 5*j + 14, 0*s - s + a*j = -7. Calculate the least common multiple of s and 3.
21
Let x(o) = o**3 - 4*o**2 + 3*o. Suppose 17 = m - 3*v, -4*v = -7*v - 12. Let l be x(m). Let h = l - 10. Calculate the lowest common multiple of h and 10.
30
What is the common denominator of 18/10*(-1 - (4 + 1495/(-286))) and 151/2030?
22330
Let z(o) = -o**3 - 16*o**2 - 11*o + 4. Let w be z(-15). Let s = 71 + w. Find the common denominator of (-12)/(-64)*(-190)/s and 113/28.
56
What is the lowest common multiple of (35/(-175))/((-2)/(-5))*78/(-13) and 5051?
15153
Let i = 84/221 + 8663/2210. Calculate the common denominator of 83/14726 and i.
73630
Let c = -3544/357 - -652/51. What is the common denominator of 1/161 and c?
161
Suppose 5*w - 3 - 23 = 3*f, 0 = -4*w + 16. Let h be f*(4 - 55/10). Suppose -h*s + 57 = 3*c - 0*s, 3*c - 51 = -s. What is the least common multiple of c and 2?
16
Suppose 0 = -13*w + 8*w + 15. Suppose -4 - 227 = -w*k. What is the least common multiple of k and 1?
77
Suppose -3*f = 4*q - q, -2 = -3*q - 4*f. Let i(l) = l**3 + 6*l**2 + 7*l + 9. Let n be i(-5). Calculate the common denominator of 1/((4/10)/n) - q and -51/46.
46
Let t(u) = 2*u**2 - 17*u + 1. Let k be t(8). Calculate the common denominator of 145/24 and (49970/(-280))/(-19) + k.
168
Suppose -20*p - 2520 = -163*p - 67*p. What is the lowest common multiple of 17094 and p?
34188
Let c(s) = 29*s**2 - s + 1. Let g be (14/4 + -3)*2. Let z be c(g). Let f = -27 + z. Calculate the smallest common multiple of 14 and f.
14
Let x(h) = 27*h. Let v be x(-5). Let k = 131 + v. What is the common denominator of 1/(-8)*54 + k and 27/11?
44
Let h(g) = g**2 + 9*g - 1. Let n(c) = c. Let f(a) = h(a) - 5*n(a). Let m be f(-2). What is the common denominator of -69/14 and 226/(-12) - (-1 - m)?
42
Let o = 56 - 40. Let n(s) = -9*s**2 + 81*s + 32. What is the smallest common multiple of n(9) and o?
32
Let o be 6 - (-1 - (-39 + 7)). Calculate the least common multiple of 228 and 30/(-12)*((-20)/o)/(-1).
228
Let p = -417 + 438. What is the smallest common multiple of (220/(-70))/(-1*3/p) and 166?
1826
Let i be ((-9)/21)/(15416/28). Let o = -13621/169576 - i. What is the common denominator of 47/33 and o?
264
Suppose -2*g - 3*c = 30, g + c + 29 = 3*c. Let i(m) = -m**3 + 9*m**2 + 12*m - 13. Calculate the smallest common multiple of i(10) and (-2)/(-2 + g/(-12)).
56
Let w be (0 + 44/12)*9. Let h(c) = 0 + 31*c + 1 + 3*c**2 - w*c. Calculate the lowest common multiple of h(3) and 8.
88
Let o be ((-1)/((-110)/36))/((-6965)/77450). Let p = 4/1393 + o. Let f = -645 + 5091/8. Find the common denominator of p and f.
88
Let n = -31336/93 - -5391/16. Find the common denominator of n and 69/10.
7440
Let p be 2/4 + (-12651)/4. Let b = p - -3143. Let a = 0 + 6/11. Find the common denominator of a and b.
44
Suppose 0 = -45*a + 49*a - 1392. Let s = -248 + a. Calculate the smallest common multiple of s and 50.
100
Let v(l) = l**3 - l**2 + l + 1. Let n be v(0). Let g be (-2)/(-3) + n/(-21)*-7. What is the lowest common multiple of 9/2*((-3)/(-3) + g) and 77?
693
Let h = 89165/260414 - 2/6853. Let k = h + 383/19. Calculate the common denominator of -83/30 and k.
30
Let h = 1111 + -1035. What is the smallest common multiple of h and 356?
6764
Let z(b) = b**3 - 33*b**2 - 70*b - 5. Let f be z(35). Calculate the common denominator of (((-1320)/16)/f)/30 and 61/20.
20
Let j = -10991 + 11244. Calculate the smallest common multiple of 1173 and j.
12903
What is the common denominator of -97/160 and (230202/(-7280))/29 + 7 - 12/2?
2080
Let t(r) = -2*r**2 - 26*r + 50. Let w be t(-15). Suppose -o + 3*s + 23 = 0, -19 = -o - o - 3*s. Calculate the lowest common multiple of 575/15 + w/3 + 3 and o.
266
Let r be ((-13)/4 + 4)/((-5)/(-20)). Suppose l - 3*p - 3 = -l, 0 = r*p - 15. Calculate the least common multiple of 27 and l.
27
Suppose -4*b = -2*b + 2*p - 42, 2*p = -12. What is the lowest common multiple of 2376 and b?
2376
Let w be 191580/(-36) - 6/(-9). Let z be 8/18 + 9564220/1800. Let r = w + z. What is the common denominator of r and 91/10?
10
Suppose -12 = -4*s + 5*n + 22, 0 = 3*s + 4*n - 10. What is the common denominator of (5/(-6)*-1)/(4/7) and 3/((-36)/8) - (-23)/s?
24
Let i = 952 - 941. Suppose -24 = -x - 4*b, -x = -4*x + 3*b - 3. Calculate the common denominator of -4/7 and 56/(-48)*(-2 + i/x).
56
Suppose -252 = -w - w. What is the lowest common multiple of 15 and (108/w)/(2/56)?
120
Let h = -1719 - -17239/10. What is the common denominator of -51/352 and h?
1760
Let a = -403 + 368. Suppose 4*f = 151 + 21. Let u = a + f. Calculate the least common multiple of u and 2.
8
Let b = -3 - 9. Let u be (2 - (-3)/(-2))*0/b. Suppose u = -6*t + 124 + 2. What is the smallest common multiple of 27 and t?
189
Suppose -i - 794 = -5*w, -14*w = 12*i - 9*i - 2258. What is the smallest common multiple of w and 2864?
28640
Let s(k) = -k**3 - 7*k**2 - 6*k. Let v be s(-6). Calculate the common denominator of ((9646/(-147))/(-26))/((-2)/6) and v + (-178)/4 + 1.
14
Let i(v) = 4*v**2 + 15*v - 25. Let c(z) = 12*z**2 + 44*z - 75. Let j(n) = 6*c(n) - 17*i(n). Calculate the lowest common multiple of 50 and j(-5).
150
Let p be (16/10)/((-15)/(-525)). Let f = -74 + p. Let m = f + 26. What is the smallest common multiple of m and 38?
152
Suppose 3*c - 6 = 3*s + 2*s, -4 = 5*s - 2*c. Suppose s = -7*f + 35. Calculate the least common multiple of ((-12)/(-4))/(9/6) and f.
10
Suppose -408*i + 441*i = 205359. Calculate the least common multiple of i and 7.
6223
Suppose -10070 = -24*q + 6303 + 2107. Calculate the smallest common multiple of 175 and q.
3850
Let l be 5/(-25) - 207/15. Find the common denominator of 48/(-16) + 44/l and -22/7.
7
Let q(a) = -a**2 + 3*a + 7. Let h be q(5). Find the common denominator of h + 2 + (-49)/6 and (-42)/(-98) + 39/26.
42
Let v = 413 - 405. Calculate the lowest common multiple of 360 and v.
360
Let r = 272 + -272. Suppose 4*g - 12 = -j, j = -r*g - g + 15. Let l(p) = -45*p - 1. What is the least common multiple of l(-1) and j?
176
Let o = 78 + -201. Let i = o + 158. What is the smallest common multiple of 56 and i?
280
Suppose 2*c = -41 + 45. Let q = -6601/36 + 765/4. What is the common denominator of q and (-114)/(-48)*c*(-3)/(-2)?
72
What is the lowest common multiple of 2 and 3595*(11 + -12)*(8/(-20) + 0)?
1438
Suppose -3*n - k + 22 = 0, -4*k - 14 = -n - 4*n. Calculate the smallest common multiple of 2/(-27) + 28804/1026 and n.
84
Let y be -3*(-4 - (-220)/(-6)). Suppose 0 = -5*h + y - 2. Let r(l) = -3*l + 4. What is the lowest common multiple of r(-6) and h?
264
Let q = -188779462/21 + 8986564. Let v = -2936 - q. What is the common denominator of v and -25/6?
42
Let g be (-4)/32*-4 + 15/6. Suppose -g - 195 = -3*k + 4*z, 0 = 5*k - z - 347. Let s = 86 - k. What is the lowest common multiple of 22 and s?
176
Let h(t) = -t**3 - 21*t**2 + 7*t + 29. Let p be h(15). Let l = -63825/8 - p. Calculate the common denominator of (44/48)/((-1)/14) and l.
24
Let w = 38628 - 927113/24. What is the common denominator of 79/(-36) + -1 + 1 and w?
72
Let z be 1528/6*591/72. Suppose 5*l = 5*x + 10430, -3*x - 6*l + 2*l = 6279. Let a = z + x. Calculate the common denominator of a and -89/12.
36
Let s(w) = w**2 - 2*w + 3. Let t(x) = x**2 + x + 1. Let a be t(0). Let h be s(a). What is the least common multiple of h/8 - 1343/(-68) and 2?
20
Let f(r) = 12*r**2 - 16*r + 12. What is the smallest common multiple of f(1) and 12210?
48840
Let w = -4000011328904909/70252 - -56938042034. Let s = -3/2509 - w. What is the common denominator of -79/40 and s?
280
Let v = 82 + -84. What is the least common multiple of 18 and v - (-59 - 18/3)?
126
Let k = 499339/87 - 493937484/85985. Let h = -3/2965 + k. Find the common denominator of h and 2/9.
45
Suppose -5*r - 171 = -2*z, -185*z = -187*z