(-405)/18.
220
Suppose -8*t + 19*t - 121 = 0. Calculate the least common multiple of t and 13.
143
Suppose 0 = 2*h + 2*h + 3*r + 57, h - r + 16 = 0. Let m = -2733 + 11015/4. Calculate the common denominator of 70/4 + h/15 and m.
4
Calculate the common denominator of (7/(-8))/(((-152)/48)/19) and 17/124.
124
Let g(f) be the third derivative of 2/3*f**3 - 1/24*f**4 - 4*f**2 + 0 + 0*f. What is the smallest common multiple of g(0) and 8?
8
Let a(f) = 21*f**2 + 0*f**3 + f**3 - 21*f**2. Let y be a(1). Calculate the common denominator of 23/11 and (-80)/17 - -4*y.
187
Let r be 6/12*-1*(0 - 8). Calculate the smallest common multiple of (r/1 + 16)/2 and 1.
10
Suppose 6*g - 8 = 22. Suppose -g*f + 6 = -4*f. What is the lowest common multiple of 88 and f?
264
Let w be 4/6*11/(44/72). Find the common denominator of 89/8 and 103/6 + 36/w.
24
Let s = -5721/2470 - -41/95. Find the common denominator of s and 61/10.
130
Suppose 5*k - 5 + 15 = 0, 4*k + 16 = 4*i. Let j be ((-12)/(-6))/(i/11). Let q = -2 + j. Calculate the least common multiple of 10 and q.
90
Let y be ((-14)/4)/(7 - 205/30). Calculate the common denominator of (62/4)/(y/12 + 1) and -91/15.
15
Suppose -5 - 3 = -2*h, -3*w + 3*h = 6. What is the common denominator of -2 - ((244/(-40) - w) + 2) and (-370)/24*(-2)/(-5)?
30
Let l(r) = -4*r**3 + 13*r**2 + 4*r - 4. Let b(y) = y**3 - 1. Let p(s) = 3*b(s) + l(s). Calculate the common denominator of -23/5 and p(13).
5
Let a = 1 + 2. What is the lowest common multiple of (111 - 100) + (-10)/1 and a?
3
Suppose 82 = -3*i + 442. Suppose -y = -4*o + 68, -3*y + 42 - 12 = o. What is the lowest common multiple of o and i?
360
Calculate the common denominator of 91/102 and 12 + -11 + (-2 - 147/(-396)).
2244
Suppose 3*h + 64 = -h. Suppose 6*i = -43 + 163. Let b = h + i. What is the lowest common multiple of 22 and b?
44
Let b(a) = a**3 + 14*a**2 + 40*a - 7. Calculate the smallest common multiple of 42 and b(-7).
168
Let u = 916 - 832. What is the smallest common multiple of 140 and u?
420
Let t(o) = -7*o - 138. What is the smallest common multiple of 378 and t(-20)?
378
Calculate the common denominator of (408/(-135) - -2)/((-24)/50) and 95/18.
54
Let t = 581 + -531. What is the smallest common multiple of 40 and t?
200
Let h(n) = -n**3 + 4*n**2 + 5*n - 1. Suppose -27 + 2 = -5*t. Let m be h(t). What is the smallest common multiple of 8/m*(-5)/4 and 20?
20
Calculate the smallest common multiple of -3 + 1322/14 + 36/(-84) and 35.
455
Let u be (-2542)/(-3970) + (-3)/5. Let o = 27934/3573 - u. Find the common denominator of 27/5 and o.
45
Suppose 0 = -0*m - 10*m + 10. What is the common denominator of (-82)/(-8)*(-1)/7 and -1 - ((-575)/60 - m/3)?
84
Find the common denominator of ((-1)/5)/(24/(-260)) and ((-109)/(-6))/(-1 + -2).
18
Suppose 0 = 173*n - 158*n - 90. Let j = -8 - -30. Calculate the smallest common multiple of j and n.
66
Let x = -20 + 40. Let l = x + -18. Calculate the lowest common multiple of l and 10.
10
Let m(y) = y**3 - 3*y**2 - 5*y + 4. Let h be m(4). Let c = h + 2. Calculate the least common multiple of c and 3/15 - 484/(-55).
18
Let d be (20/(-900))/(2/5). Let c = -593/144 - d. What is the common denominator of c and -73/30?
240
Suppose -2*l = 5*d - 16, 3*l = -3*d - 4 + 10. Calculate the smallest common multiple of d and 408.
408
Suppose 0*f + f - 8 = -4*l, 5*f - 6 = -3*l. Suppose -2*o - 4 = f, 5*b - 116 = 2*o + o. Calculate the lowest common multiple of b and 6.
66
Calculate the common denominator of -109/52 and 1/(12/(-8)) - 2750/(-480).
208
Let k = 1084 + -1072. Calculate the least common multiple of 294 and k.
588
Suppose d + 44 = 4. Find the common denominator of 2 - 2/(d/162) and 65/8.
40
Calculate the common denominator of 79/330 and (-11)/44*428/50 - -2.
1650
Suppose -4*z + 4*y = z - 61664, -3*y - 61663 = -5*z. Let i be (z/30)/(420/(-25)). Let s = i - -132/7. What is the common denominator of s and 1/24?
72
Suppose -20 = -b - j, -b + 11*j + 8 = 6*j. Let v(r) = -4*r**2 - 19*r. What is the least common multiple of b and v(-4)?
36
Suppose 6*p + 16 = 34. Calculate the lowest common multiple of p and (-545)/(-25) - 2/(-10).
66
Let v(y) = 4*y**2 - y + 20. Let o be v(6). What is the least common multiple of 18 and 2 + o/5 - (-9)/(-15)?
198
What is the common denominator of ((-24)/50)/(310/(-100) - -4) and 79/2?
30
Let x be (-6899)/(-14) - (-6)/(-21). Let f = -457 + x. Let y = 33/40 + 577/40. What is the common denominator of f and y?
4
Let o = -28 + 28. Suppose 2*n - 4*n + 10 = -2*k, -3*n - 5*k - 9 = o. Suppose -n*v + 11 + 3 = 0. What is the least common multiple of 3 and v?
21
Let t(p) = p**3 - 5*p**2 + 6*p - 2. Let b be t(4). Let q = 14 - b. Suppose 7*s - 3*s - 8 = 0. Calculate the lowest common multiple of s and q.
8
Suppose 10*b + 10 = 30. Let d(g) = -5*g - 4. Let n be d(3). Let a = -9 - n. What is the smallest common multiple of a and b?
10
Let k be -1*(-1)/2*(8 + 174). Calculate the common denominator of (-4)/(-30) - k/21 and -125/66.
330
Let a = 13 + -11. Let p be (a - 12434/220) + 3. Let y = -647/11 - p. Find the common denominator of y and 5/2.
10
Let n = 2935 + -26444/9. Let s = 8195 - 98231/12. Find the common denominator of s and n.
36
What is the least common multiple of 8/14 - (-2840)/28 and 12?
204
Let q = -54 - -140. Calculate the smallest common multiple of q and 6.
258
Let o = 18/13 + 3955/26. Let d = o + -865/6. What is the common denominator of d and 201/77 - 6/33?
21
Let w = -743 + 1211. Let c be w/1195 + 8/(-20). Let y = -4324/2629 - c. Find the common denominator of 21/5 and y.
55
Let r = -62869/540 + 2216/27. Let d = -2/7303 - 1884164/36515. Let l = r - d. Find the common denominator of l and -29/7.
28
Let r = 89694/916975 + -3/21325. What is the common denominator of r and 20/387?
1935
Let m(z) = -z**2 - 7*z + 10. Let v be m(-7). Calculate the least common multiple of (-141)/(-12) - 2/(-8) and 4/((-1)/v*-4).
60
Let y = 2/2779 + -130635/30569. Let z = -400915/42 + 9547. Find the common denominator of z and y.
462
Let o = 331/21 + -25/3. Suppose -39*s - 5 = -44*s. What is the common denominator of o and (4/(140/(-85)))/s?
7
Suppose -5*r + 2 = 12. Let g(u) = -2*u**3 + u**2. Suppose -4*j + 4*w = 12, -w = -5*j - 3*w + 20. What is the least common multiple of g(r) and j?
20
Let v = -337/3 + 7321/66. Suppose 8*y - 10*y = -x + 7624, -5*y + 4*x - 19054 = 0. Let l = y - -30587/8. Calculate the common denominator of v and l.
88
Let m = 35077726/218145 + -2/43629. Let j = 9109/55 - m. What is the common denominator of j and -19/9?
99
Let m = 265023/28 + -9468. Calculate the common denominator of m and 5/8.
56
Calculate the common denominator of (-386)/(-132) - (-75)/(-45) and -107/42.
462
Let k = -8 - -80. What is the common denominator of 30/k*532/30 and 63/8?
72
Let l(k) = -k**2 + 3*k - 2. Let d be l(3). Let a = d + -1. Find the common denominator of -11/9 and 178/(-16) - (2 + a).
72
Suppose 0 = -4*g - 4 + 40. Suppose -p = -4*p + g. Suppose -5*o = -p*o - 10. What is the least common multiple of 5 and o?
5
Suppose -3*i + 28 + 17 = 0. Suppose y - i = -x, 5*y - 9 = 11. Suppose -3*w + 36 = 6. Calculate the smallest common multiple of x and w.
110
Suppose -8*r + 2*r = -12. Suppose 2*n + 168 = 3*s, n - 10 = -r*s - 87. Find the common denominator of 3*(-24)/n*6 and 53/8.
24
Let p(a) = 1729*a**2 - a + 1. Let w be p(2). Let d = w - 691491/100. Let v = 3637/700 + d. Find the common denominator of v and 15/2.
14
Suppose 5*c - 4*c + 1010 = 0. What is the common denominator of 2/7 + (-503)/70 and ((-4)/(-220))/(4/c)?
110
Let y(x) = -x**2 + 6*x + 9. Let k = 14 - 12. Suppose -5*q = 3*j - 44, k*q + 8 = 4*q. What is the smallest common multiple of y(7) and j?
8
Suppose -2*j = -7*j + 25. Suppose -2*r - 4*n + 4 = -4*r, 2*n - 6 = 0. Calculate the smallest common multiple of j and r.
20
Suppose 0 = 2*k - 4*m - 44, -4*k = -5*m - 1 - 78. Suppose -598 = 4*o + 326. Calculate the smallest common multiple of o/28*8/(-3) and k.
176
Let p be (20782/(-10))/((-3948)/10). Let a be 2/423*903/86. Let m = p - a. Find the common denominator of m and 3/22.
154
Suppose -3*m + 84 = 4*b, -4*m + b - 11 + 104 = 0. Suppose -4*f = 4 - 176. Suppose 5*t - f = 57. Calculate the lowest common multiple of m and t.
120
Calculate the common denominator of -8*(12/(-80))/1 and -3/