et a = s - 4295. Find the common denominator of a and 19/22.
198
Let n(v) = v**3 + 5*v**2 + 5. Let c be n(-4). Suppose c*g - 22 = 20*g. What is the smallest common multiple of 6 and g?
66
Suppose 12*a = 13*a - 16. Calculate the common denominator of -2/9 and ((-20)/22)/(3 + a/(-6)).
99
Suppose -1 = -5*i + 49. What is the least common multiple of i and (-136)/(-1224) - 106/(-18)?
30
Suppose i - 3*d = 11 + 1, 2*i + 3*d - 42 = 0. Suppose 3*h + 18 = -i. Find the common denominator of 20 and ((-10)/(-7) + -2)*h.
7
Let l be (0 - 1)*-11 + -1. Let i = -6 + l. Calculate the smallest common multiple of i and 14.
28
Let h(p) = 2*p - 6. Let q be (-189)/(-7)*(-1)/(-3). What is the lowest common multiple of 24 and h(q)?
24
Suppose 0 = -4*s + 152 - 32. Let r = -153/4 + s. Find the common denominator of r and 32/7.
28
Let u(l) be the first derivative of -l**3/3 - 5*l**2 - 7*l - 2. What is the least common multiple of u(-9) and 6/(9/6 - 0)?
4
Suppose 4*g = c - 98, -c + 5*g - 18 = -112. Let y = c + -90. Calculate the lowest common multiple of 33 and y.
264
Let j be 16415/(-14) + (-1)/(-2). Let z be (4/j*1)/(-13). Let y = -377071/76180 - z. Find the common denominator of 77/8 and y.
40
What is the lowest common multiple of 950 and 3/7 + 12208/784?
7600
Suppose -i + 2*z + 38 = 0, -158 = -5*i + 8*z - 6*z. What is the lowest common multiple of i and 93?
930
What is the common denominator of (-4)/(-26) - (-35489)/(-7176) and 137/30?
120
Suppose -7*o + 0*o = -91. Suppose 3*i - o = -2*m, 3*m + 5*i - 9 = 10. Suppose 8 = -v + 2*v. What is the least common multiple of m and v?
8
Let o = -264 - -180. What is the common denominator of -89/4 and 19/(-8)*7/(o/15)?
32
Suppose 3*r - 5*d = 6*r + 8, -2*r + 12 = -d. Suppose -7*u + r*u = -36. Calculate the lowest common multiple of u and 14.
84
Let g = 1/1393 - 18119/13930. What is the common denominator of g and -17/286?
1430
What is the common denominator of (-3686)/(-660) + (-19)/(133/42) and -97/231?
2310
Let g = 18 + -5. Let o = g - 13. Suppose o = -5*s + 46 - 6. What is the lowest common multiple of s and 10?
40
Let t = -1012303/136 + 7443. Calculate the common denominator of 71/170 and t.
680
Calculate the common denominator of 2 - ((-1165)/(-120) + -3) and 29/39.
312
Let f = 464 + -1833/4. Let v(q) = -q**3 + 4*q**2 - q - 1. Let s be v(4). Calculate the common denominator of f and -3 + 2 - (-57)/s.
20
Suppose 0 = 2*z + 2, 5*h + 6*z + 70 = z. Let j = h + 12. What is the lowest common multiple of 8 and -2*3*j/3?
8
Let w(l) = -l**3 + 3*l**2 - 5*l + 5. Let v be w(2). What is the smallest common multiple of (v + (-182)/(-6))*42/28 and 40?
440
Let d be (-8)/(-28) + 4/(-14). Suppose -5*i + i + 8 = d. Suppose 3*k - 1 = n, -4*k = -3*n + i + 5. Calculate the least common multiple of 10 and k.
10
Suppose -45 = -4*k + 27. Suppose -100 = -11*b + 65. What is the lowest common multiple of b and k?
90
Find the common denominator of (-20)/6*(1 + (-90)/(-24)) and 167/120.
120
Suppose 11*p - 12*p = -49. What is the smallest common multiple of 84 and p?
588
Suppose b + 0*v - 154 = -v, 4*b - 2*v - 634 = 0. Suppose 4*j + b = 25. Find the common denominator of -29/20 and 4/8*(-147)/j.
220
Let g = 13432/15 + -68573/10. Let t(x) = -x**3 - 42*x**2 + 36*x + 30. Let s be t(-39). Let j = s - g. What is the common denominator of j and 31/8?
24
What is the common denominator of 50/8*14/5 and (1 - 9/10)/(66/(-495))?
4
Find the common denominator of (-28)/190*(-75)/360 and 103/20.
1140
Let r = -13 - -21. Let w(s) = -9*s - 81. What is the smallest common multiple of w(-13) and r?
72
Suppose 3*z = -0 + 27. Suppose -4*j - 25 = -z*j. What is the least common multiple of 11 and j?
55
Let x = -22870 - -937717/41. What is the common denominator of -5/7 and x?
287
Let m(f) = -f**3 - 4*f**2 + 7*f + 2. Let i be m(-5). Let z = -7 - i. Suppose b = -5*p + 12, 3*p - 31 = -5*b + b. Calculate the least common multiple of b and z.
7
Let y = 1922 - 1878. Suppose -2*m = -4*m + 20. Calculate the least common multiple of y and m.
220
Suppose -3*t - 89 = -8*t - 4*d, t + 5*d = 1. Suppose -16*l = -14*l - 20. What is the smallest common multiple of t and l?
210
Find the common denominator of -83/16 and -8 + (-4 - (-13272)/1088).
272
Let f = -3 - -8. Suppose -94*j = -17*j - 308. What is the smallest common multiple of j and f?
20
What is the common denominator of 107/120 and ((-14)/27)/((-12)/(288/(-60)))?
1080
Let m = 177 + -168. Calculate the smallest common multiple of m and 54.
54
Suppose 5*z - 3*r - 1489 = 0, 0 = 109*r - 106*r + 9. Calculate the lowest common multiple of z and 148.
296
Let x = 255919/20 + -12800. Find the common denominator of -41/44 and x.
220
Let f = 13 - 25. Let a = f - -13. Calculate the common denominator of 131/30 and (-6096)/(-36)*a/(-24).
90
Let p(g) = g + 4. Let f be p(6). Let t = -7 + f. Suppose 2*d - 4*n = n + 26, -3*d + 30 = -3*n. What is the lowest common multiple of t and d?
24
Let o = -4 - -2. Suppose 23*t + 2*l = 18*t + 60, t - 20 = -2*l. Calculate the least common multiple of (-4)/6*33/o and t.
110
Let l be 35 + (2 + -4 - -3). Let x = l - 86. Find the common denominator of x and -3 + 1 - 1020/(-252).
21
What is the lowest common multiple of 12 and (-1 + 28)/((-14)/(-154))?
1188
Let h = 1064 - 1060. Let d = -4 - -8. What is the smallest common multiple of h and d?
4
Let r = -155177/64 + 2426. Find the common denominator of r and -95/32.
64
Let n(r) = 5*r**2 + 3*r + 9. Let c be n(-6). Let z = 27 - 26. Find the common denominator of 101/2 and c/(-6) + (1 - z).
2
Let v = -121 - -111. Calculate the common denominator of 11/52 and (48/80)/(8/v).
52
Let k(w) = w**2 - 3*w - 6. Let b be k(-3). Suppose -50 = -5*h + 2*i - b, -4*i - 16 = 0. What is the smallest common multiple of h and 40?
120
Let w(c) = -4*c - 6. Let g be w(-3). Let k be ((-40)/(-15))/(2/g). Calculate the lowest common multiple of (k/20)/((-1)/(-45)) and 24.
72
Calculate the lowest common multiple of 96/56*(-35)/(-3) and 24.
120
Let h(a) = -a**3 + 9*a**2 - 8*a + 4. Let i be h(8). What is the least common multiple of 4 and (-24 + 0)*(-2)/i?
12
What is the common denominator of -55/12 and 24570/6096 + (-3 + -3 - -2)?
3048
Let m(u) = u**2 + 14*u + 23. Let i be m(-13). Suppose 14*x - 15*x = -i. What is the smallest common multiple of 9 and x?
90
Suppose -2*t + r + 26 + 15 = 0, -105 = -5*t + 5*r. Let j(k) = 7*k + 65. What is the lowest common multiple of j(-7) and t?
80
Let o(a) = a**3 - 5*a**2 - 14*a + 30. Suppose 0 = -61*j + 65*j - 28. Calculate the lowest common multiple of o(j) and 3.
30
Suppose -12*d + 13*d = -130. Calculate the least common multiple of 11 and ((-234)/d)/(6/(-20)*-1).
66
Suppose 3*p + o = 10, -3*o - 7 = -2*p + 7. Suppose -p = -2*l + 8. Let m = -6 + 15. Calculate the least common multiple of m and l.
18
Let m = 668 - 13467/20. What is the common denominator of m and -2 - 325/(-60) - -7?
60
Let r = -255 + 281. What is the least common multiple of 3 and r?
78
Let s be 2 + -2 - 60/(-49). Let x be 1/((-3)/6) - (-9006)/392. Let t = s - x. What is the common denominator of t and -68/9?
36
Let a(o) = 19*o**2 - 3*o - 7. Let i be a(-5). Suppose -4*f - 131 = -i. Calculate the least common multiple of 8 and f.
88
Let c be (-1)/(-2) + 0 - (-1023772)/48. Let y = c + -21317. Find the common denominator of y and 29/28.
84
Suppose -411 = -13*p - 99. What is the lowest common multiple of 237 and p?
1896
Suppose -l = 3, 4*t + 5*l + 0*l = 97. Suppose -2*c - 16 = 2*c. What is the common denominator of (-73)/(-4) - 2/c and t?
4
What is the smallest common multiple of 150/(-125)*(-1 - 9) and 2?
12
Find the common denominator of -61/106 and (-4104)/(-627)*((-5)/2 + 2).
1166
Let o = 207630503106823 - 609984366725349608477/2937836. Let f = o - 1/66769. Let h = -19/4 - f. What is the common denominator of 49/10 and h?
110
Let l = -1024 - -14347/14. Calculate the common denominator of l and (-50)/(-8)*(-1)/(-2).
56
Let l = -16 - -22. Let u(z) = z**2 - 7*z + 7. Suppose 3*c - 58 + 56 = o, -o + 4 = 0. What is the least common multiple of c and u(l)?
2
Let u = 93 + -95. Calculate the common denominator of u - (104/(-24))/((-8)/15) and -115/6.
24
Suppose -35*g = -34*g - 60. Suppose 24 = 4*q - 4*s, -5*q + 3 = 3*s - 3. Suppose q*r + 0*r = g. What is the smallest common multiple of r and 2?
20
Let c b