of (y/3)/(40/546) and (-2)/6 + 484/120?
10
Find the common denominator of -53/888 and (-5*109/5)/30.
4440
Let s(i) = 4*i**2 - 12*i - 9. Let g(z) be the third derivative of -z**4/24 + 5*z**3/6 - 4*z**2. Calculate the lowest common multiple of g(0) and s(4).
35
Suppose 60*f = 55*f + 30. Suppose 7*i = -f*i + 78. What is the least common multiple of i and 11?
66
Let y(g) = -g**2 + 2*g + 1. Let h = -13 + 22. Let i = h + -6. What is the lowest common multiple of i and y(2)?
3
Suppose 2*m - 4816 = -34. Let f = m + -50227/21. Find the common denominator of f and -20/3.
21
Let j be -1 - (-55789*(-2)/(-15804) - -1). Let a = -2/439 + j. Find the common denominator of 43/20 and a.
180
Let z be ((-40)/12)/(8/(-12)). Suppose -z*s + 6 = -4. Suppose 16 = 9*f + 7. What is the lowest common multiple of s and f?
2
Suppose 180 = 20*z - 180. Calculate the least common multiple of 156 and z.
468
Suppose -3*y + 2*u = -0*y - 6479, y = 3*u + 2155. Suppose -y = -4*r - 633. Calculate the common denominator of r/(-80) + (-6)/10 and 12.
8
Let l = -49 - -199/4. Let t be (-11811)/(-12) + 0 - -1. Let s = -980 + t. What is the common denominator of s and l?
4
Let a = -7657/9 + 854. What is the common denominator of a and 137/108?
108
Let i be (-18353)/(-8)*11/(-2). Let y = -12613 - i. What is the common denominator of y and (-45)/(-14) + (-2)/(-7)?
16
Let w = -671/150 - 2/75. Suppose 0 = 3*k + 5*q + 170, 0 = 2*k - 2*q - 2*q + 128. Calculate the common denominator of w and (-606)/14*(-10)/k.
14
Let h = -3819282 - -137663. Let k be h/(-68) - (0 + -2). Let l = k - 54145. Find the common denominator of l and 57/22.
748
Let b be 35595/(-27) + 1/3. Find the common denominator of b/(-120) + 2/(-5) and -47/12.
12
Let t = -107 - -117. Calculate the smallest common multiple of t and 9.
90
Let n(h) = h**2 + 5*h - 10. Let m = -19 - -12. Let o be n(m). Suppose o*b = -7 + 95. Calculate the lowest common multiple of b and 6.
66
Let x be (-192901)/25424 - (-30)/(-105) - -2. Let d = x - 43/227. Let r = 432351/22 - 19657. Calculate the common denominator of d and r.
176
Let w = -45118373/180 - -250657. Calculate the common denominator of w and -8/3.
180
Let s(m) = m**2 + 8*m + m**2 - m - 9*m - 2. What is the least common multiple of s(2) and 14?
14
Let b = -7530067073427/1097306606 + 2/49877573. Let l = 6865 + b. What is the common denominator of -87/16 and l?
176
Let t = 1855/6 - 310. Let c = -117881/12 - -9815. What is the common denominator of t and c?
12
Let m = -1102917 - -22047199/20. Let o = -2771/5 - m. Let v = 972 - 15495/16. Calculate the common denominator of o and v.
80
Let t = -4118/3825 - -4/225. What is the common denominator of 13/6 and t?
102
Let o(q) = -8*q**3. Let i be o(1). Let w(r) = -r + 10. Suppose -1 = -16*a + 319. Calculate the least common multiple of w(i) and a.
180
Let f(t) be the third derivative of 0 + 0*t - 4*t**2 + 1/3*t**4 + 1/3*t**3. Calculate the smallest common multiple of 10 and f(2).
90
What is the common denominator of (6/20)/((-225)/(-3450)) and -33/40?
40
Let w(a) = 2*a**2 - 6*a - 6. Let x be w(6). Let t be (-34718)/(-9) + (-20)/x. Let u = t + -3853. Find the common denominator of -71/15 and u.
45
Suppose -3*g - 2*g + 2*v + 155 = 0, 51 = 2*g - 3*v. Calculate the lowest common multiple of 42 and g.
462
Let q be 1/6 - 53396/1542. Let d = q + -10/257. What is the common denominator of 97/4 and d?
4
Suppose 4*r = 3*z - 84, -z - r - 2*r = -28. Suppose -z = -3*g + 20. Calculate the lowest common multiple of 12 and g.
48
What is the common denominator of -83/30 and 107/(-130) + 32/(-416)?
30
Suppose 28014 = 3*r - 10*r. Let a = r - -43977/11. Find the common denominator of a and -35/9.
99
Let b = -53885/10898 - -2/49041. Let s be 1/(-2) + 6/(-12). What is the common denominator of b and (-755)/(-6)*s/(-5)?
18
Let d be 31742/(-42) - (-5)/15. Let o = -41695/56 - d. Calculate the common denominator of o and 45/16.
16
Let f = 27 + -7. What is the least common multiple of (-112)/(-6) - (-6)/90*-10 and f?
180
Suppose -p - t = 2*p - 589, -t + 979 = 5*p. Let m = p - 3109/16. Calculate the common denominator of m and 1/(-3)*(-135)/(-50).
80
Let b = -4/13541 + -744531/758296. What is the common denominator of 151/72 and b?
504
Suppose 2*p + 4*f = 14, -3*p - 1 = -2*p - 2*f. Let t(u) be the first derivative of 7*u**2/2 - 7*u - 6. What is the least common multiple of 36 and t(p)?
252
Suppose 135 = -807*k + 812*k. What is the lowest common multiple of 93 and k?
837
Let v(k) = 5*k. Let h = 1 + 0. Let c(p) = -2*p**2 + 21*p - 7. Calculate the least common multiple of c(10) and v(h).
15
Let h = 64 + -65. Calculate the common denominator of ((-1155)/(-150))/(h - -2) and -21/10.
10
Let s(a) = a + 5. Let g be s(-4). Let i = 26 + -24. Calculate the smallest common multiple of i and (-23)/(-4) - g/(-4).
6
Suppose -4*u + 4*m = 8*m - 180, -3*u + 145 = m. Suppose 5*s + u = -0*s. Calculate the common denominator of -2/3 and (9/s)/((-30)/110).
30
Find the common denominator of 2 + 20/(-2) - 2626/156 and (-14)/(-22)*60/(-21).
66
Let w = -40 - -43. What is the common denominator of 72/32 - (6/w)/(-4) and -18?
4
Let p be -8*2*(-3)/24. Suppose b + 11 = r, r - p*b = -2*r + 34. Calculate the common denominator of 67/6 and 0 - (242/r - 1).
6
Let o(h) = h + 3. Let b = 11 - 8. What is the smallest common multiple of b and o(0)?
3
Suppose -4*h + 20484 = 2*r, 3*h - 20482 = -2*r - 0*r. Let v = r + -348053/34. Calculate the common denominator of (-287)/(-56) + (-1 - -4) and v.
136
Suppose -3*l - 3*t + 29 = -1, -l + 5*t + 4 = 0. Let d be 12/l*(-21)/(-2). Find the common denominator of -143/6 and 1 + -1 + d/42.
6
What is the common denominator of 6/9 + 370/12 and 4*4/(-480)*327?
10
Let y(u) = -u + 23. Let w be y(15). Suppose -i - w = -34. What is the lowest common multiple of i and 20?
260
Suppose -11850 = 5*x + 5*r, -2*x + 2*r - 4735 = -r. Let m = x - -26106/11. Calculate the common denominator of (1/8)/((-2)/166) and m.
88
Let h(s) = -s**3 + 5*s**2 + 6*s + 2. Let d(o) = o - 7. Calculate the least common multiple of h(6) and d(21).
14
Let k(i) = 6*i**3 - 9*i**2 + 18*i + 7. Calculate the smallest common multiple of 100 and k(2).
1100
Calculate the common denominator of (-95)/(-342) - 8*-1 and 7/9.
18
Let z(v) = -26 + 8*v + 24 - 22*v - 8*v. Let u be z(-3). Suppose 5*a + u = 9*a. What is the smallest common multiple of 4 and a?
16
Let o = -170 - -172. Suppose -q - 2*q = -18. What is the least common multiple of o and q?
6
Let r = -26 + 415/16. Find the common denominator of (-1)/7 + 0 - 9350/2464 and r.
16
Suppose 2*i + 3*r = -0*i + 9, -3*i - 3*r = -21. Let p be 14722/i - (-8)/12. Let f = 3751/3 - p. Find the common denominator of f and 7/10.
30
Let m(h) = -3*h**3 + 5*h**2 + 3*h + 5. Let q(y) = -8*y**3 + 15*y**2 + 9*y + 15. Let t(s) = -11*m(s) + 4*q(s). What is the least common multiple of 44 and t(-3)?
308
Let t(l) = -8*l - 11. Let s be t(-13). What is the common denominator of ((-24)/16)/((-45)/s) and 33/14?
70
Let a be (-2)/(-5) + 84/15. Suppose a*c = -3*c + 126. Calculate the lowest common multiple of 23 - (1 + 0/(-2)) and c.
154
Calculate the smallest common multiple of 5 + (7 - 30/(-5)) and 156.
468
Suppose -2*c + 3 = -7. Suppose -c*t + 145 = -100. Let o = 83 - t. Calculate the lowest common multiple of o and 14.
238
Suppose i - 62 - 93 = 0. Suppose r = -695 + i. Find the common denominator of (-801)/r + 2/12 and -133/18.
180
Let q(c) = 45*c**2. Calculate the smallest common multiple of q(2) and 100.
900
Let y = 30145/42 - 718. What is the common denominator of y and 97/168?
168
Let j(w) = w**3 - w**2 + 8. Calculate the lowest common multiple of j(0) and 3 + 8/(6 + 2).
8
Suppose 21*m - 18*m - 6 = 0. What is the lowest common multiple of m and 42?
42
Suppose -3*r - 2*t = -71, r = -t + 20 + 2. Suppose -7*n = -8*n + r. Let i = n + -22. Calculate the lowest common multiple of 4 and i.
20
Suppose -18*w - 90 = -20*w. Calculate the common denominator of 1/w*735/6 and 63/22.
198
What is the common denominator of 1386/(-840)*(-2)/(-30) and 103/10?
100
Let t(o) = o**3 + 12*o**2 + 17*o - 29. Let w be t(-10). Calculate the least common multiple of 8 and (-5 - -77) + 5 - w.
152
Let l = 19 + -17. Suppose l*k + 4*s = 28, -k = -2*s - 1 - 17. What is the common denominator of -55/2 and 3/k*(-52 - 10)?
8
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