h = -8/73 - 15/4526. Let f = h - -683/558. Find the common denominator of f and -46.
9
Let j = -1482 - -2112. Calculate the smallest common multiple of 12 and j.
1260
Let a = 16 - 14. Suppose -2*g + 2 = -a. Suppose 3*f - 6 = 0, -f = -2*r - 0 + g. Calculate the smallest common multiple of r and 2.
2
Let k(g) be the second derivative of -3*g**3/2 - g**2/2 + 11*g. Calculate the least common multiple of k(-1) and 6.
24
Suppose -3275 = 5*o - 3*q + 4*q, -5*q = 4*o + 2641. Let n = o - -2000/3. What is the common denominator of 4/(-6) - (-34)/24 and n?
12
Suppose 96 = 12*b - 8*b. What is the least common multiple of b and 114?
456
Suppose 1203 - 139 = 19*x. Calculate the smallest common multiple of 56 and x.
56
Let c = 27540 - 46221. Let p = c + 373513/20. Calculate the common denominator of -111/20 and p.
20
Suppose m + 4*d - 16 = 0, 37*d = -4*m + 33*d + 40. Calculate the lowest common multiple of m and 129.
1032
What is the common denominator of 119/(-4284)*(-86 - (-1 + 1)) and 57/632?
5688
Let x = -1676 + 10037/6. Find the common denominator of (6/8)/((-9)/(-119)) and x.
12
Let b = 19 + -13. Calculate the smallest common multiple of (-43)/(-2) - 11/(-22) and b.
66
Suppose s = -5*f + 2*f + 148, -46 = -f - 2*s. Let y be -1 - 5/((-10)/6). Calculate the common denominator of f and ((-248)/(-20) - 2) + y.
5
What is the least common multiple of 27 and ((-28)/84)/(-2*3/432)?
216
Suppose -25*v = -20*v - 270. Calculate the smallest common multiple of v and 18.
54
Let w = -2061 + 2223. What is the smallest common multiple of w and 16?
1296
What is the least common multiple of -60*(-2 + (-24)/(-30)) and 32?
288
Let y = 179549252189/131671890 + 2/7315105. Let c = -1363 + y. Calculate the common denominator of -73/10 and c.
90
Let c(d) = -9*d**3 - 2*d**2 - d + 2. Calculate the smallest common multiple of c(-1) and 139.
1390
Calculate the smallest common multiple of 12 and (10/(-70)*200)/((-3)/21).
600
Let j = 1132775/51 + -22210. What is the common denominator of j and 46/33?
561
Let y = -158465936 + 5070413677/32. Let k = y + 15511. What is the common denominator of 71/4 and k?
32
Suppose 5*o + 210 = 26*o. Calculate the smallest common multiple of o and 26.
130
Let g be (-13 - -9) + 2*16. What is the common denominator of 1/6 and 2/g*285/(-3)?
42
Suppose -4*s + u + 3*u = -492, 15 = 5*u. What is the lowest common multiple of s and 56?
504
Let g(s) = s**3 - 4*s**2 - 5*s + 6. Suppose 0 = k + 2*q - 6*q - 2, -2*k + 4 = 3*q. What is the lowest common multiple of k and g(5)?
6
Let b = 71/20 + 141/20. Let d = 9455 - 94673/10. Calculate the common denominator of d and b.
10
Let z = -43018/9 - -211393/36. Let d = z + -1115. What is the common denominator of -29/16 and d?
16
Let i(u) = -3*u + 3. Let n(j) = 24*j - 24. Let f(x) = 33*i(x) + 4*n(x). What is the smallest common multiple of f(-1) and 22?
66
Suppose -y + 176 = y. Suppose -474 = -i + y. What is the common denominator of 57/56 and (-2)/5 - i/(-80)?
56
Suppose 3*w - 8 - 26 = -4*l, 2*l - 4*w - 28 = 0. Suppose 5*x - 105 = -5. Calculate the lowest common multiple of x and l.
20
Let d(s) = 3*s**2 + 5*s + 60. Let h(m) = -2*m**2 - 6*m - 60. Let r(j) = -3*d(j) - 4*h(j). What is the smallest common multiple of r(13) and 22?
88
Let w be 3 + 1 - (1 + -3). Suppose 4*p - w - 98 = 0. Suppose -5*b = 3*k - 4*b - 41, -2*b = -3*k + p. Calculate the smallest common multiple of 20 and k.
60
Let d be 2/(-4) - 145/(-10). Suppose -4*j - 3*q + 18 = -d, 40 = 5*j - 5*q. What is the smallest common multiple of 18 and j?
72
Let u = -13913/43384 + -94/493. Find the common denominator of u and -12/7.
616
Suppose -6*p = 2*p + 192. Calculate the common denominator of 12/18 + 260/p and -10/3.
6
Let g be (-2 - 0) + 0 + 1. What is the common denominator of (-6 - (5 - 390/27)) + -3 and g*302/12 + 2?
18
Let d be 12/(-4)*6428/12. Let y = 17692/11 + d. Calculate the common denominator of 28/45 and y.
495
Suppose -3893 = j + 5*l - 927, -2*j - 3*l = 5925. Find the common denominator of 33/28 and 2*1 - j/(-420).
140
Suppose 7*h + 3*n = 8*h - 151, h - 2*n - 154 = 0. What is the smallest common multiple of h and 160?
160
Let o(a) = 2*a + 10. Let s be o(7). Let c = s - 16. Calculate the lowest common multiple of 8 and 4 - c/2 - -4.
8
Let t = 35896 - 108848/3. Let w = 382 + t. Let b = -158/5 - -1673/55. What is the common denominator of b and w?
33
What is the smallest common multiple of 54 and 19 + (-1 - 0/(-5))?
54
Let g(t) = -2*t**2 + 25*t - 26. Let x be g(11). Suppose x*k - 355 = -5*o + 4*k, 0 = 5*o - 2*k - 380. What is the least common multiple of 1 and o?
74
Let o be (16/(-28))/(-2) + 60/(-14). Let t = 64/25 - -181/25. What is the common denominator of (-1)/18*o + 3412/360 and t?
10
Suppose -6*w + 10*w - 92 = 0. Calculate the smallest common multiple of w and 138.
138
Let x = -24 + 36. Suppose -5*z = 3*k - 7*k + 42, 2*k + 2*z = x. Let w(r) = -r**3 - 5*r**2 - 5*r + 2. What is the lowest common multiple of k and w(-4)?
24
Suppose -h + 3*h - 5*m = 15, 3*h = -2*m + 51. Calculate the smallest common multiple of 3/h - (2 + (-188)/10) and 2.
34
Let z = 328 + -317. What is the least common multiple of z and (3/(-12))/(1/(-4))?
11
Let q = 225243495/1463 - 153960. Calculate the common denominator of q and -79/10.
14630
Let s = 137 + -141. Calculate the common denominator of s/(-1) + (-14)/112 and -149/12.
24
Let g = -2648/7 - -383. What is the common denominator of g and 3/8?
56
Let m(g) = g - 4. Let i be m(11). What is the smallest common multiple of 5 and (-2)/(-5)*(12 - i)?
10
Calculate the lowest common multiple of -8 - ((-250)/10 - -9) and 42.
168
Let u be 8 - -3*(-2)/3. Suppose f + 0*f = 1. What is the least common multiple of u + ((-3)/(-3) - 1) and f?
6
Suppose 17*b - 15*b = 12. Suppose -5*y = -20, -3*y = 4*c - 0*y - 52. Calculate the lowest common multiple of 12/30 - (-16)/c and b.
6
Suppose -18 + 9 = 3*r. Find the common denominator of r/2*(-68)/24 and 13.
4
Find the common denominator of (-24)/4 + 538/72 + -3 and -77/12.
36
Suppose 3*i + 3*a - 777 = 0, 4*i + 13*a = 12*a + 1051. Calculate the smallest common multiple of 12 and i.
264
Let j = 10/13 - 433/39. What is the common denominator of -67/33 and j?
33
Let c be (-72)/(-33) + (-10)/55. Suppose -8 = -l - c. Let v(x) = x**3 + 8*x**2 + 7*x + 8. Calculate the smallest common multiple of v(-7) and l.
24
Let l = -9659 - -202918/21. Find the common denominator of l and (-3 - -2)*267/(-108).
252
Suppose -3*r = 3*n - 0*n + 33, -n - 9 = -r. Let c = 10 - n. Calculate the smallest common multiple of c and 18.
180
Let t be (4/14)/(1/7). Let j be t/6 + 158/(-6). What is the common denominator of (-2094)/(-260) + 4/j and 5/9?
90
Let w(s) = -s**2 + 6*s + 3*s**2 - 3 + 9. Suppose 161 = -2*y + 153. Calculate the smallest common multiple of w(y) and 12.
84
Find the common denominator of 460/345 - (-212)/(-66) and -70/243.
2673
What is the smallest common multiple of 1 and ((-6)/9)/2*(-42 + -6)?
16
Let m = 7652 - 76593/10. Let t = 3997 + -71903/18. Calculate the common denominator of m and t.
90
Let h = 545927/222474 + -8/5297. What is the common denominator of -139/18 and h?
126
Let p be ((-33122)/(-3))/(102*(-48)/90). Let v be 18*1130/102*-1. Let u = p - v. Calculate the common denominator of 101/20 and u.
120
Suppose -3*o = -m - 83, -2*o - 2*o = -m - 111. Find the common denominator of o - ((-4)/4 - 3) and -69/10.
10
Calculate the least common multiple of 9 - (-61)/(-7) - (-80)/14 and 3.
6
Let v(h) = -66*h - 3. Calculate the lowest common multiple of 3 and v(-1).
63
Suppose -3*m + 3648 - 10260 = 0. Calculate the common denominator of -40 and (-4)/10 + m/(-360).
18
Let g = 572 - 452. What is the lowest common multiple of 18 and g?
360
Let j = 569 - 513. What is the lowest common multiple of j and 140?
280
Let w(l) = l**2 - 7*l + 2. Let t(b) = -26*b**2 - 443*b - 15. What is the least common multiple of t(-17) and w(9)?
20
Let p = 20 + -199/10. Calculate the common denominator of p and (-154)/6 + (-10 - (-168)/12).
30
Let n(z) = 25*z - 1. Let m be n(3). Let r = 78 - m. What is the lowest common multiple of r and 4?
4
Let k be 4030/(-14) + 1 - -1. Suppose 12 = -3*x, -4*r = -2*x + 6*x + 1168. Let q = k - r. Calculate the common denominator of -12/5 and q.
35
Suppose -4 = 2*q + 4, 3*s = 4*q + 232. What is the lowest 