.
168
Suppose -2*t + 55 = -k + 6*k, 3*k = -2*t + 49. Let b(l) = -4*l**3 + l**2 - l - 2. What is the smallest common multiple of b(-1) and t?
20
Let w = -1594/7 + 230. Find the common denominator of w and (296/(-24))/(15/(-9)).
35
Let k(z) = z**3 + 2*z**2 - z + 3. Let x be k(-3). Let q = x + 6. Suppose 0 = -32*m + 33*m - 1. Calculate the smallest common multiple of m and q.
3
Suppose -r = 4*m, -5*r + m - 46 = -2*m. Find the common denominator of (6/16)/((-30)/r) and 5/14*97/5.
70
Let h be ((-2)/(-3))/(12/54). Let f = 32 - h. Let s = 41 - f. Calculate the smallest common multiple of 12 and s.
12
Let o(q) = -4*q - 2. What is the smallest common multiple of 6 and o(-3)?
30
Calculate the common denominator of (-4)/(-18) - (-6 + 3729/864) and -27/4.
32
Let v = 30114859/22 - 1367536. Let k = v + -1322. Calculate the common denominator of k and (-1)/(-44)*(-3)/((-3)/34).
22
Let t be ((-18)/(-15))/(2/(-10)). Let k(u) = -u**3 - 5*u**2 + 6*u - 4. Let d be k(t). Let n = d - -6. What is the smallest common multiple of 22 and n?
22
Let a = 23 - 43. Find the common denominator of -27/8 and (-63)/a + 0/(-6).
40
Suppose -3*b = -14 + 47. Let c = b - -19. What is the smallest common multiple of c and 7?
56
Let n = 23 - 5. What is the lowest common multiple of 6 and n?
18
Let n = -16/26707 + 112783789/213656. Let w = -527 + n. Calculate the common denominator of -103/18 and w.
72
Let k = -3/811 + -80259/8110. What is the common denominator of 95/42 and k?
210
Suppose 0 = -3*y + 18 + 6. What is the lowest common multiple of 34 and y?
136
Suppose -2 = 4*n + 2. Let t be n/(-1*2/206). Suppose -40 + t = 3*x. Calculate the common denominator of x and -9/4.
4
Let s be (-1 - -1) + (0 - 0). Suppose 4*f + s*f = 28. Calculate the lowest common multiple of f and (-18)/21*(-84)/36.
14
Suppose 4*z - 4*i = 25 - 285, z = -2*i - 65. Let p be -2 + (1 - 0 - z). Let f = -36 + p. What is the lowest common multiple of f and 20?
140
Let m(q) = q**2 + 8*q - 5. Calculate the lowest common multiple of m(-9) and 4.
4
Let i = -4523/45 - -497/5. Let v = -21306/2051 + 30/293. Let p = -25/7 - v. Find the common denominator of i and p.
63
Let i = -43447/12 + 3629. What is the common denominator of -115/36 and i?
36
Let y = 43 + 7. What is the common denominator of y and -59/4?
4
Let r = -186 - -187. Let l = 11 + 2. What is the smallest common multiple of l and r?
13
Let i be (3/130*4)/4. Let v = -2269/260 - i. Calculate the common denominator of v and 76/3.
12
Let s(x) = -2*x**2 - 6*x - 6. Let n be s(-4). Calculate the common denominator of 1051/126 + n/49 and 27/22.
198
Let i(r) = r**3 + 4*r**2 - 5*r - 2. Calculate the smallest common multiple of i(-4) and 18.
18
Suppose 9*x - 4*x - 5 = 0. Let c = 46/37 + -3049/518. Find the common denominator of (x + 1)*55/(-24) and c.
84
What is the common denominator of (-209)/(-36) - (-4)/16 and 81/2?
18
Let h(b) = 5*b - 3. Let i(v) = 4*v - 2. Let r(s) = 5*h(s) - 6*i(s). What is the lowest common multiple of r(6) and 10?
30
Suppose 1 = 3*d - 2. Find the common denominator of (2 - d) + 146/12 and (-92)/(-24)*9/11.
66
Let g(v) = 1225*v**3 - 3*v**2 + v. Let q be g(2). Let n be q/72 + 8/(-36). Let x = -135 + n. Calculate the common denominator of -49 and x.
4
Let k(d) = d**2 + 4*d - 3. Let q be k(-5). Suppose -3*p = 3*u + 174, -5*u - 27 = -q. Let f = p - -75. What is the smallest common multiple of 12 and f?
132
Let l = -9 - -8. Calculate the common denominator of ((-2)/12)/((-5)/(-213)) and (60 - l)/(6 - 2).
20
Let j(i) = -2*i - 20. Let s be j(-13). Let p be 15 + -1 - (0 + 0). Let u = s + p. What is the smallest common multiple of 18 and u?
180
Let t = -4428/35 - -639/5. Find the common denominator of t and -27/11.
77
Let v(g) = g**3 + 3*g**2 + g - 1. Let i = 6 + -6. Let l = 7 - i. What is the lowest common multiple of l and v(-2)?
7
Suppose 0 = -0*r + 5*r - 5. Let v = 21 - 11. Let q = v + -3. Calculate the smallest common multiple of q and r.
7
Let n = 26 - 10. What is the least common multiple of 2 and n?
16
Suppose -4 = -2*j - v, 0 + 9 = 3*j + 3*v. Find the common denominator of (j/(-2))/(4/178) and 15/14.
28
Let z(u) = -u**3 + 8*u**2 - 6*u - 3. Let i be z(7). Suppose 16 = -i*n, 4*s = 2*s + 5*n + 68. What is the least common multiple of (s/5)/((-9)/(-30)) and 4?
16
Suppose -2*m = -2*h - 3*m + 3, 5*h = 4*m + 27. Let z = -1 + h. Calculate the common denominator of (-429)/42 + 0 + z and -27/10.
70
Suppose 0*u - 1 = -u. Let m be (u/2)/((-2)/(-24)). What is the smallest common multiple of m + 1 + -1 - 0 and 16?
48
Let h(v) = v**2 + v. Let b be h(0). Let a(x) = -x**3 + x + 12. Calculate the smallest common multiple of a(b) and 20.
60
Let x(b) = -b**2 - 14*b - 16. Calculate the least common multiple of x(-12) and 8.
8
What is the lowest common multiple of (-1 - 3 - -8) + -1 and 6?
6
Calculate the common denominator of (-1 - -5) + (-1134)/280 and (-10)/(-4)*38/(-4).
20
Let v = -10355/6 - -1720. Find the common denominator of v and 65/24.
24
Let j(i) = -i**2 + i + 12. Let s be j(0). Suppose -s = -3*k - k. Let h(d) = -d**3 - 7*d**2 + 9*d + 9. What is the least common multiple of k and h(-8)?
3
Suppose 3*a + 4*s - 9 - 14 = 0, a = 4*s + 13. Calculate the smallest common multiple of a and 30.
90
What is the common denominator of 149/66 and -9 + 11 - 155/22?
66
Suppose 8*s - 3*s - 50 = 0. Let m = 147763/18 - 8207. What is the common denominator of ((-43)/s - -2) + -1 and m?
90
Suppose -2*m - 4*o = -32, m - 4*m = 3*o - 36. What is the least common multiple of m and 42?
168
Calculate the common denominator of -5 + 4 + (-145)/(-18) and 1/(-14)*(101 - -2).
126
Let k = 858441/5 - 172495. Let m = -47863/60 - k. Calculate the common denominator of -43/20 and m.
60
Let g(a) = -a - 2. Let c be g(-2). Suppose 0 = m - c*m - 4. Calculate the least common multiple of m and 8.
8
Suppose 4*t - 16 = 0, -60 = -3*z + z - 5*t. Suppose -2*x - 3*x - 15 = 0. What is the smallest common multiple of (-2)/6 - 43/x and z?
140
Suppose -52 = -3*c + 4*l, -3*l + 17 = 2*c + 5. What is the common denominator of -59/3 and c?
3
Suppose -5 = -2*b + 23. Let m(j) = 3*j - 11. Let s(v) = 4*v - 12. Let p(l) = -6*m(l) + 5*s(l). What is the smallest common multiple of p(4) and b?
14
Suppose -4*z + 3*r + 67 = 2*r, -2*r = -4*z + 70. Calculate the smallest common multiple of 18 and z.
144
Suppose -22 = 4*j - 6. Let n = j - -3. Let h(z) = -z**3 - 2*z - 1. What is the lowest common multiple of 8 and h(n)?
8
Let d(g) = g - 4. Let s(p) = 1. Let r(q) = d(q) + 6*s(q). Calculate the lowest common multiple of 16 and r(16).
144
Let i(f) = f**3 - 5*f**2 + f + 4. Let g be i(5). Let p = g - 6. Suppose 0 = p*j - 6*j + 15. Calculate the smallest common multiple of j and 9.
45
Let h(l) = 234722*l - 1. Let k be h(-1). Let n = k + 4930445/21. Let c = n + -297/7. Find the common denominator of 24/11 and c.
33
Calculate the smallest common multiple of 4 and (-2)/2 - (-24)/8.
4
Let a = 753 - 1414. Let l = a - -5311/8. Let y = l - 21/8. What is the common denominator of y and 103/10?
20
Let f = -10585 - -190417/18. What is the common denominator of -53/6 and f?
18
Let c = 28147/8 - 3531. Find the common denominator of c and 71/8.
8
Let g = 98 - 54. Calculate the common denominator of 21/10 and (178/g - 4)*30.
110
Let v be -149453*(-1 - (-1 - -1)). Let z = 3587713/24 - v. Let g = 157/6 - z. Find the common denominator of -29/9 and g.
72
Let h(g) = g - 8. Let v be h(8). Suppose -p + 6 - 4 = v. Calculate the smallest common multiple of 8 and p.
8
Suppose t - 9 = 11. Calculate the smallest common multiple of 2 and t.
20
Let b = -7552 - -377621/50. Calculate the common denominator of b and 5/14.
350
Let a(o) = -o**3 - 3*o**2 + 5*o + 4. Let h be a(-4). Suppose h*y + y = 0. Calculate the smallest common multiple of 4 and 4/(y + 0 + 1).
4
Let v = -4553/6 + 755. Let y be 5/((-5)/4) + 0. Calculate the common denominator of v and (-158)/(-16) + (-1)/y.
24
Let o(q) = -3*q**3 - 2*q**2 + 1. Let j be 80/14 + 6/21. Suppose 4*h + 10 = j*h. Calculate the least common multiple of h and o(-1).
10
Let f be 200/(-123) - (-1 + -1). Let w = 6017/246 + f. What is the common denominator of w and 8*(105/33 + -3)?
66
Let p = 1430 - 11407/8. Find the common denominator of p and (10/(-24))/(9/(513/(-2))).
8
Let a = 18 + -6. Calculate the lowest common multipl