47 + -761707417. Let x = -379172/383 - -990. Let d = x - s. Calculate the common denominator of d and 52/11.
99
Let a = -506 - -1592/3. What is the common denominator of -41/5 and a?
15
Let l = -2869 - -40221/14. Find the common denominator of (-2)/(-20)*355/(-6) and l.
84
Suppose -4*o = -2*b + b - 22, 2*b = -3*o. Calculate the common denominator of (-130)/6 - 9/b and 513/(-12) - (-1)/4.
6
Suppose 11*i - 296 = 7*i + 4*a, 3*i + a - 206 = 0. Calculate the lowest common multiple of i and 20.
140
Suppose -v = -2*s + 14, -2 + 0 = 2*s + 3*v. What is the lowest common multiple of s and 11?
55
Let i(o) = 3*o - 11. Let z be i(8). Suppose -3*w + a - z = 0, a + 16 = -w - a. Calculate the common denominator of 23/22 and w/28*(-202)/6.
154
Let i = -7 + 12. Suppose -i*s + 15 = -0*s. What is the common denominator of (s/5)/((-4)/(-230)) and -51/7?
14
Let r = -5 - -8. What is the least common multiple of -8*1*2/(-16) and r?
3
Let j be (-6113)/(-18) + (-10)/20. Let y = 332 - j. Calculate the common denominator of y and -85/2.
18
Let o = -1157 + 3667/3. Let f = -3983/60 + o. What is the common denominator of 59/8 and f?
40
Suppose p = -4*p. Suppose -5*x - 15 + 40 = p. Let o(k) = k + 4. What is the smallest common multiple of o(0) and x?
20
Suppose 24 = 9*y - 66. What is the lowest common multiple of 3 and y?
30
Let g = 4 + 2. Let n = -45 - -57. What is the lowest common multiple of g and n?
12
Let w(l) = -l**3 + 6*l**2 - l + 8. Let g be w(6). Suppose 3*u - 3 = 3*f, -7*f = -g*u - 3*f - 4. Calculate the common denominator of -31/10 and u.
10
Let s be (-25)/10 - (-2)/(-4). What is the lowest common multiple of (2*(s + 2))/(-2) and 5?
5
Suppose -3*v - 2083 = 1325. Let p = -7935/7 - v. Calculate the common denominator of 2/11*-2*1 and p.
77
Suppose -5*m + m - 1124 = 0. Let q = 59/35 - -87/14. Find the common denominator of q and 4/(-6) + m/(-48).
80
Suppose 4*f - 12 = f. Let i be (0 + 1)*(3 - -6). Suppose 0 = 6*k - i*k + 30. What is the lowest common multiple of f and k?
20
Find the common denominator of ((-126)/(-2))/(10/(-1)) and 71/12.
60
Calculate the lowest common multiple of (-3)/5 + 4 + (-6)/(-10) and 4/(-1 - 1) - -22.
20
Suppose p - 6*p + 30 = 0. Let h = 12 + 24. Suppose 0 = -2*d - d - 3*r + 54, 0 = -2*d + 4*r + h. Calculate the lowest common multiple of p and d.
18
Let z = -3 + 7. Suppose 3*h - 16 = -u + z*h, -2*h = 2*u - 16. What is the smallest common multiple of u and 16?
48
Suppose -3*d - 2088 = 84. Let s be d/(-5) + 0 + 1. Let v = s + -151. Find the common denominator of v and -27/11.
55
Let x be (2 - 1)*2 + 0. Let f(k) = 3*k**3 - 4*k**2 + 2*k. Let v be f(x). Find the common denominator of 21/16 and (-34)/v*(0 + 9).
16
Suppose 0 = -0*b - 3*b + 66. Suppose 4*p + 10 + b = 0. Find the common denominator of (-11)/p*140/(-25) and -61/2.
10
Suppose -8067 = -4*r + 13969. Let w = -65975/12 + r. What is the common denominator of -43/10 and w?
60
Let x(t) = -106*t + 1. Let o be x(-1). Suppose f + 55 - 1 = -2*d, -5*d + o = -3*f. Find the common denominator of -41/2 and ((-117)/f)/((-3)/2).
22
Let v = -14 + 35. Let r = 20893/8 - 2623. Calculate the common denominator of r and 118/v - 4/(-6).
56
Let h be (0*1/(-2))/(-1). Suppose 5*c + 0 - 15 = h. Suppose c*o - o = 20. Calculate the smallest common multiple of 9 and o.
90
Let k(s) = -3*s - 1. Let t be k(-1). Let r(l) = l**2 - l - 4. What is the lowest common multiple of ((-2)/t)/(-3 + 2) and r(-3)?
8
Let d(n) = n**3 + n**2 + n - 7817. Let v be d(0). Let i = -125005/16 - v. Calculate the common denominator of i and -27/14.
112
Let u be 6/(-5)*10/3. Find the common denominator of (147/48)/(2/u) and -113/12.
24
Let j(b) = -b + 3. Calculate the least common multiple of j(-7) and 16.
80
Calculate the common denominator of 29/4 and ((-10)/(-225))/((10/(-385))/(-1)).
180
Let a = -43/16 + 625/48. Let k be (2349 - (-3 + 1))*-2. Let h = k + 51684/11. Find the common denominator of a and h.
33
Let w(y) = y**3 - 6*y**2 - 4*y + 1. Suppose b - 4 = 3. Suppose -2*m + 41 = -0*n - 5*n, -52 = -3*m - 2*n. What is the lowest common multiple of m and w(b)?
198
Let x be 2 - 3/((-3480)/(-2356)). Let r = -2/29 + x. Calculate the common denominator of r and 83/8.
40
Let v = 2 + 18. Suppose 10*x - v = 5*x, 26 = 2*l + 4*x. What is the smallest common multiple of 2 and l?
10
Suppose 4*y = 4*t + 4, 0*t + 2*t - 8 = -3*y. Calculate the lowest common multiple of y and 8.
8
Let k be -2 + 0 - (-39)/7. Let s = -667/77 + k. What is the common denominator of 46/13 and s?
143
Calculate the common denominator of 48 and 4/14 - ((-915)/350 - -2).
10
Suppose 4*k + p = -0*k + 268, 5*k + 4*p = 324. Suppose 2*g + 4*n + k = 6*g, -103 = -4*g - 3*n. What is the lowest common multiple of g and 2?
22
Suppose 4*v = -4, 4*o + 0*v + 29 = -5*v. Let u = -4 - o. Find the common denominator of 0 + u/20*-21 and -109/18.
90
Let a = -28669/5550 - 1/925. What is the common denominator of 9/16 and a?
48
Let s = -350 - -2795/8. What is the common denominator of s and -69/22?
88
Calculate the least common multiple of 35 + 10/5 + 3 and 35.
280
Calculate the common denominator of (27/8 + 0)*24/22 and ((-19)/(-4) - 1)/(-2).
88
Let v be (-2 + 1)/((-2)/(-54)). Let i = v - -19. Calculate the common denominator of -149/6 and i/(-20) + (-242)/30.
6
Let l be 2*619056806529/(-272629680) - -2. Let g = l + 1/5679785. Let c = g + 4532. What is the common denominator of c and 71/10?
40
Let a = 238069/60907 - -2/5537. Calculate the common denominator of a and (51/(-18))/((-1)/(-7)).
66
Suppose 0 = 4*p + 2*p - 36. Suppose p*r = r + 30. What is the least common multiple of 1 and r?
6
Let f be -3*(-2 + (-6)/(-9)). Suppose f*g + 24 = 4*z, -3*g = -z - 1 - 3. What is the lowest common multiple of z and 10?
110
Let g = -17557 + 31407. Let v be g/36 - 1/3. Let q = v - 386. Calculate the common denominator of q and 17/4.
36
Let n = -5 + 11. Suppose -2 + 10 = k. What is the smallest common multiple of 38/k - (-4)/16 and n?
30
Let l(j) = 3*j**2 + 4*j - 3. What is the least common multiple of 8 and l(-3)?
24
Let q = 105 - 33. Calculate the common denominator of -21/11 and 2*(2 - 244/q).
99
Suppose 0 = -2*r + 12 - 30. Let b be (7/(-14826))/(2/r). Let d = b - -90359/4236. Calculate the common denominator of d and -67/3.
3
Let r = -1617/2 + 833. What is the common denominator of r and -33/5?
10
Let k = 32 - 16. Calculate the least common multiple of 28 and k.
112
What is the smallest common multiple of 10 and (-14 + 11)/(1/(-2))?
30
Suppose -3*q - 2 = -17. Suppose q*w - 36 = w. What is the least common multiple of w and 6?
18
Let z = 84/5 + -843/35. Calculate the common denominator of z and 1/(-16)*(-106)/(-1).
56
Calculate the lowest common multiple of (-328)/(-18) + 2/(-9) and 91/5 + (-1)/5.
18
Let i = 3035 - 403653/133. Let v = i + -5191/266. What is the common denominator of v and 50/7?
14
What is the common denominator of 2799/330 + (-4)/22 and 151/12?
60
Suppose 66 = -4*m + m. Let s = 44 + m. What is the smallest common multiple of s and 8?
88
Let z(p) = p**3 - 8*p**2 - 9*p + 10. Calculate the least common multiple of 2 and z(9).
10
Let z = 84 + -75. Calculate the smallest common multiple of 9 and z.
9
Let x = -6753 + 3349. Let m = 28813/126 + -2042/9. Calculate the common denominator of m and x/(-880) - 2/(-11).
140
Let v = -10 + 14. Suppose d + 11 = 4*b - 0, 2*d - 26 = -4*b. Calculate the least common multiple of b and v.
4
Let y(x) be the third derivative of x**6/120 - x**5/60 - x**4/8 + x**3/3 - 9*x**2. What is the common denominator of 43/11 and y(4)?
11
Let l = 1 + -2. What is the common denominator of (l - 20)*(-1)/15 and 23/4?
20
Let w(x) = -x**2 + 4*x + 6. Suppose 5*c - 31 = 4*i + 2, 5*i = -10. Suppose 2*n - 5 - c = 0. Calculate the smallest common multiple of w(n) and 6.
6
Let x = -4 + 2. Find the common denominator of 3/(-60)*17 + x and (-237)/24*(6 - 5).
40
Suppose 761 + 301 = 3*m. Calculate the lowest common multiple of m and 2.
354
Calculate the least common multiple of (10/3)/(4/12) and 8.
40
Suppose 15 = 5*l - 5*i, l - 4*i = 4*l - 9. Suppose -l*s - 3 + 33 = 0. What is the lowest common multiple of s and 6?
30
Let p(s) = 2*s + 18. Calculate the smallest common multiple of p(0) and 18.
18
Let b be 2 + (13 + 2)/1. Suppose -2*r - b = 2*q - 3*r, 3*r - 19 = 2*q. What is the smallest commo