t i = 38 + -69. Find the common denominator of i and 25/13.
13
Let k = -49403/22 + 2245. Calculate the common denominator of k and 9/104.
1144
Suppose -39*v = -41*v + 182. What is the least common multiple of v and 6?
546
Let m be (-4)/14 - 33/7. Let i = 3 - m. What is the common denominator of (146/i)/(6/3) and -25/11?
88
Let i = 195 + -408. What is the common denominator of (1/(-1))/(54/i) and 23/12?
36
Let r(c) = c**3 + 13*c**2 + 13*c - 8. Let z be r(-12). Let i = z - -31. Let u = -5 + 11. What is the lowest common multiple of u and i?
66
Let l = -2/115815 + -93624844/115815. Let q = 8163/10 + l. Calculate the common denominator of 101/14 and q.
70
Suppose -5*l + 4 = -4*l - h, 28 = 5*l - 3*h. Let b = -10 - -19. Calculate the lowest common multiple of l and b.
72
Let q be 5/(-2400) - (1 - 1). Let j = q + -2633/3360. Calculate the common denominator of j and 1/12.
84
Let c = -243 - -250. Suppose 0 = -6*i + 2*i. Suppose l - 5*u + 21 = i, -4*l + 3*u - 5 + 6 = 0. What is the least common multiple of c and l?
28
Let m(p) = -2*p**2 + 13*p - 4. Let v be (2/6)/(7/126). What is the smallest common multiple of m(v) and 6?
6
What is the common denominator of -83/60 and (-2)/16*70/14?
120
Calculate the common denominator of -31/20 and -3 + (-3)/(-72)*-94.
60
Let g = 2 + 0. Let m be (g - 0) + -1 + 2. Suppose m*j - 5 = 1. What is the least common multiple of 8 and j?
8
Suppose -3*b + 2*b = -2*w - 10, 0 = 2*w + 2. Calculate the smallest common multiple of 3*(-1)/((-3)/10) and b.
40
Let c(h) = -h**2 + 17*h + 3. Calculate the common denominator of 81/4 and c(14).
4
Let c(s) = s**3 - s**2 - 4*s + 22. Suppose 0 = 3*u - 5*y - 28, -2*u - 8 = -0*y + 2*y. What is the lowest common multiple of (-3)/((-2)/4*u) and c(0)?
66
Suppose -f + q = -q, 5*f + 5*q = 60. What is the smallest common multiple of 10 and f?
40
Suppose 29 + 11 = 5*o. What is the smallest common multiple of o and 7?
56
Let q = -27 - 12. What is the smallest common multiple of 11 and (-52)/(-6)*q/(-26)?
143
Suppose 5*y = -5*k + 45, -2*k - 12 = -5*y + 5. Suppose k*i = -3*f + 36, 0 = 6*i - 3*i + 3*f - 30. Calculate the lowest common multiple of (-2)/4 + 9/6 and i.
6
What is the common denominator of 33/10 and ((-178)/24)/((-2)/(-6))?
20
Let n = -1873/28 - -323/7. Let b = -1387 + 9664/7. What is the common denominator of b and n?
28
Suppose z = 6*z - 5. What is the least common multiple of -1 - (-4 + -2 + 4) and z/(-4) + 18/8?
2
Let i = -5/877 + 88617/7016. What is the common denominator of 127/12 and i?
24
Suppose l + 4766 = -0*l. Let g = l + 38191/8. Find the common denominator of g and -143/6.
24
Calculate the common denominator of (-4 + 904/16)/(1*-22) and 97/14.
308
Let y(b) = -b**3 + 13*b**2 + 15*b - 4. Calculate the smallest common multiple of 22 and y(14).
110
Let y(n) = 6*n - 20. Suppose -28 = -5*z + m, z + 3*z = 3*m + 18. What is the smallest common multiple of y(5) and z?
30
Let l(d) = -d**3 + 3*d**2 - d + 1. Let i be l(3). Let f = i - -14. Suppose -48 = -3*a - 4*m, -5*a + m = -m - 54. Calculate the least common multiple of f and a.
12
Suppose -4*i = -21 - 39. Suppose -i = -m - 4. Calculate the smallest common multiple of 3 and m.
33
Suppose -915 = -2*l + 5*f, 2*l = -l + 5*f + 1360. Find the common denominator of 46/9 and (-2)/4 - l/30.
9
Find the common denominator of (-2*(5 + 36))/(-16) and 27/4.
8
Suppose -16 = -4*i, 0 = -9*y + 4*y + 4*i + 13714. Let h = y - 21891/8. Let x = -146/105 + -4/105. Find the common denominator of x and h.
56
Calculate the common denominator of -11/12 and 1 - 2 - (-2 - 155/75).
60
Let s = -6 + 11. Suppose -4*n = -s*n + 17. Suppose o - n = 2*b - 4*b, -25 = -5*o. Calculate the smallest common multiple of b and 3.
6
Let d = -415 + 695. Let f = d - 1954/7. What is the common denominator of -29/2 and f?
14
Suppose -4*s = -2*l + s + 4, -3*l + 4*s + 6 = 0. What is the lowest common multiple of 0 + 1 - -11 - 2 and l?
10
Suppose 16 = -2*h + 6*h. Calculate the least common multiple of h and (-1)/(8/9 - 1).
36
Let n = -660/13 - -6737/156. Find the common denominator of n and (-334)/(-288) + (-2)/9.
48
Suppose 3 - 7 = -4*s. Let o(l) = 10*l**2 + l - 1. What is the lowest common multiple of o(s) and 3*4*(-8)/(-6)?
80
Let k = -1241 + 471. Calculate the common denominator of (-2930)/k - 2/(-7) and 39/7.
77
Let x = 2 + -1. Let t be (-2)/(-6) + (-21)/9. Let g = 3 + t. Calculate the smallest common multiple of x and g.
1
Let p be (0/1)/(2 + -5). Suppose -t + 5*t + 80 = p. Let l = t - -34. Calculate the least common multiple of l and 22.
154
Let t = 21083/10 - 2105. Suppose -2 = l + h, h + 0 - 4 = -3*l. Find the common denominator of 477/(-42)*(-2)/l and t.
70
Suppose 0 = -z + 2*w + 5, -6 = -w - 3. Let o be 12*(-1 - -2) + 0. Let l = o - 7. What is the smallest common multiple of z and l?
55
Suppose -5*f + 9*f - 88 = 0. Calculate the smallest common multiple of 8 and f.
88
Let z(n) = n**3 - 5*n**2 + n - 1. Let v be z(5). What is the common denominator of 97/10 and -4 + 3 + (-114)/v?
10
Let y = 4/291 + -947/679. Find the common denominator of 53/2 and y.
42
Calculate the common denominator of -145/6 and 0 - 2 - 93/(-36).
12
Let u(c) = -c**3 + 5*c**2 + 4*c + 10. Calculate the least common multiple of u(3) and (-30)/(((-15)/(-2))/(-5)).
40
Suppose -23 - 43 = -6*q. What is the least common multiple of ((-12)/20)/((-1)/5) and q?
33
Find the common denominator of (-1)/(3*4/65) and (3/6)/(2/150).
12
Suppose -85 = 4*j - 21. Let q = 108/101 + -4281/2020. Find the common denominator of q and -2*(-2)/j + -12.
20
Find the common denominator of (-1)/(8/206*-3) + 2 and -31/60.
60
Suppose 32478 = -3*y + 4*b, -6*y + 3*y - 32478 = b. Let i = 8414644 - 84254609/10. Let u = i - y. Find the common denominator of u and -45/8.
40
Let u = -6479/3 + 2138. Find the common denominator of (213/(-81))/((-2)/6) and u.
9
Let v be 1/5 - 32/10. Let u(l) = -6*l - 15. Let b(a) = -3*a - 7. Let r(p) = 9*b(p) - 4*u(p). Calculate the lowest common multiple of 9 and r(v).
18
Let u(m) be the third derivative of m**6/120 - 2*m**5/15 + 3*m**4/8 + 2*m**3/3 + 5*m**2. What is the common denominator of u(7) and 35/9?
9
Suppose -4*m + 3*w = 3672, -2*w - 32 = -m - 950. Let f = -16519/18 - m. What is the common denominator of ((-7)/(-4))/((-9)/51) and f?
36
Suppose -18 = -6*w + 3*w. Calculate the lowest common multiple of 2 and w.
6
Find the common denominator of -13/8 and 4 - (-1)/((-16)/170).
8
Let a = 1/801 + -82513/8010. Find the common denominator of 14/9 and a.
90
Let j(t) = -t + 2. Let n be (-2)/8 + (-25)/(-4). Suppose -2*b + n*b = -5*q + 34, -b = -1. What is the smallest common multiple of q and j(-6)?
24
Let i(t) = 32*t - 2. Let j be i(-2). Let g = -2/5603 + -633111/78442. Calculate the common denominator of g and j/(-14) + (-3)/6.
14
Let f(t) = t**2 + 5*t + 6. Let d be f(-6). Calculate the common denominator of -83/4 and 936/(-80)*(-5)/d.
8
Suppose 2*g + g - 12 = 0. Let n = -15 - -25. What is the lowest common multiple of 29/g - (-3)/(-12) and n?
70
Let y(s) = -s**3 - 9*s**2 + 8. What is the lowest common multiple of y(-9) and 11?
88
Let i = -309 + 450. Let z = 222 - i. Find the common denominator of 5/2 and (-102)/(-8)*42/z.
18
Suppose u + 4*u - 3015 = 0. What is the common denominator of 15/22 and 4/14 + u/(-420)?
220
Let y(i) = 6*i - 6. Calculate the smallest common multiple of y(2) and 5.
30
Suppose 4*r + 26 = c, 5*c + 5*r - 4 - 1 = 0. What is the lowest common multiple of 214 and c?
642
Let u(s) = 3*s. Let o be u(1). Suppose -o*b + 27 + 27 = 0. Let i(k) = 3*k**3 - 4*k**2 + 4. Calculate the least common multiple of b and i(2).
36
Suppose -t + 2*f - 4*f - 11 = 0, -5*t - 31 = 2*f. Let x(z) = z + 7. Let r be x(t). Calculate the smallest common multiple of 3 and r/4 + 9/6.
6
Let n(w) = -w - 2. Let m(r) be the first derivative of -r**2 - 7*r - 4. Calculate the lowest common multiple of m(-7) and n(-5).
21
Find the common denominator of 2/3 - 670/90 and 77/10.
90
Let z(j) = j**3 - 3*j**2 + 1. Let w be z(1). Let c be 1 + (-1 - w) + 7. Let y = c + -6. What is the least common multiple of y and 4?
4
Suppose 0 - 3 = 3*f. Calculate the smallest common multiple of (-17 + 2 + -1)*f and 10.
80
Let n = 1882 + 10758. Let p = 252923/20 - n. Calculate the common denominator of p and 87/10.
20
Let f = -1021 - -106181/104. Let k = -2