9
Let m(s) = -2*s**2 - 5*s - 3. Let k be m(-3). Find the common denominator of 39/k*(-20)/28 and ((-15)/(-3))/(8/15).
56
Let i = 18 - 8. Let o = -41 - -67. Suppose o + 1 = 3*a. What is the lowest common multiple of i and a?
90
Let o(i) = -i**3 - 5*i**2 - 6*i - 6. Let p be 4/4 + (-1 - 0). Let b = p + -4. Calculate the lowest common multiple of 3 and o(b).
6
Let p(t) = -4*t - 4. Let u(n) = -3*n**2 + 2*n + 1. Let o be u(-1). What is the smallest common multiple of p(o) and (6/(-10) - 36/(-10)) + 5?
24
Let t(m) = -m**3 + 7*m**2 + m + 5. Let y be t(6). Suppose 3*w - 2 = x - 5, 4*x = 5*w + y. What is the smallest common multiple of x and 4?
36
What is the smallest common multiple of 1/(-2)*2 + 3 and 15 - (-1)/1 - -2?
18
Let p = 2 + 2. Suppose 0 = 3*v + 4*l + 587, -p*v - 784 = 3*l + 2*l. Find the common denominator of (-4)/(-6)*v/(-32) and -7/10.
80
Let t = -8737/34 - -257. Let c = 1515/68 - t. Find the common denominator of 137/6 and c.
12
Let a(n) = 2*n**2 + 1. Let q be a(-1). Suppose -6*p + 48 = -q*p. What is the least common multiple of 14 and p?
112
Let x be 12/(-42) + (-116)/(-259). Let b = x + -145/666. Calculate the common denominator of b and -67/22.
198
Let t = 11037 - 165623/15. What is the common denominator of 43/30 and t?
30
Let p be (0 + -10)/(-5) - -23. Let o = -22 + p. Suppose k + 2*m + 0*m = 6, 0 = -m + 1. Calculate the smallest common multiple of o and k.
12
Suppose -5*y + 21 - 71 = 0. Calculate the common denominator of (y/3)/(48/(-117)) and -12/11.
88
What is the smallest common multiple of -6*((-6)/9 - 0) and 5?
20
Suppose -3*j - t = 2*t - 72, -3*t - 48 = -2*j. Let p be (1 - 2)/((-4)/j). Suppose 4*r - p = r. What is the smallest common multiple of 22 and r?
22
Let l = 59/4074 + 12173806/22407. Let v = 548 - l. Find the common denominator of -2 + (-4)/((-176)/190) and v.
22
Suppose 0 = 2*h - 7*h + 90. Calculate the smallest common multiple of h and 32.
288
Let p be 41/(-3)*(-22 - -1). Suppose 5*o - 183 = p. Find the common denominator of o/2*(-2)/32 and -1/4.
16
Let q = 393089/19412 + 1/4853. What is the common denominator of 21/18*(-4)/56*-151 and q?
12
Suppose -2*t = -2*r + 52, 0*r - 4*r + 2*t = -108. Calculate the smallest common multiple of 12 and r.
84
Let x be 2/3*(-9)/(-6). Suppose -4*l + 1 - 3 = 2*m, 4*l = -m + x. Let q(n) = n**3 - 7*n**2 + 7*n - 2. Calculate the lowest common multiple of l and q(6).
4
Let t = -99605512402 + 74106522165571/744. Let q = t + -84443/3. Let a = -13/31 - q. Calculate the common denominator of a and -29/8.
8
Let c = 52705/12 - 4386. What is the common denominator of 36 and c?
12
Let p(f) = 2*f**2 - 5*f - 2*f - f - 3. Calculate the common denominator of -55/7 and p(6).
7
Let s be -1*6963/6 + -2. Let n = s + 1189. Calculate the common denominator of n and ((-267)/(-72))/((-3)/6).
12
Suppose -4*k + 76 + 20 = 0. What is the lowest common multiple of 6 and k?
24
Let t = 14 - 7. Let m = t - 5. What is the common denominator of -71/3 and m/(-9) + (-523)/36?
12
Suppose 18 = -x - 0*x. Calculate the common denominator of 21 and ((-5)/(-40))/(1/x).
4
Let v be 1 + (-13 - 2 - 1). Let n be (-6)/v - 3/(-5). Find the common denominator of 71/18 and 1 - 29*n/(-10).
90
Let j be (4/(-6))/(4/(-48)). What is the common denominator of -95/8 and 11 - j - 198/4?
8
Suppose 3*f - 36 = -0*f. Suppose s - 1 - 3 = 0. What is the least common multiple of s and f?
12
Let d = -38 - -52. What is the smallest common multiple of 14 and d?
14
What is the common denominator of (-2)/(-3) - (-1446)/(-36) and 111/22?
22
Let n = -19629/70 - -1366/5. What is the common denominator of -48 and n?
14
Suppose -2*v + 9 = -3. Let c = 1 + 8. Calculate the least common multiple of c and v.
18
Let y(s) be the third derivative of -s**5/30 - s**4/6 - s**3/3 + 3*s**2. Let z be y(-2). Let h = 0 - z. What is the smallest common multiple of h and 20?
20
Let h be ((-9)/(-10))/(129/6). Let l = h + -15292/645. What is the common denominator of l and -81/8?
24
Let o = 1/4387 - 118459/43870. Let x = 3736 - 22471/6. What is the common denominator of x and o?
30
Suppose 5*n = 3*r - 7, -4*r + 4 + 0 = -4*n. Let u = n - -3. Suppose 27 = l - 2*p + 6*p, 0 = -4*l - 3*p + 43. Calculate the least common multiple of u and l.
7
Let i = 13 + 1. Suppose 2*d + i = 54. What is the lowest common multiple of d and 18?
180
Suppose 2*l = 3*l - 6. Calculate the least common multiple of l and 22.
66
Let o be (-51)/(-9) - (-4)/(-6). Suppose 0 = g - 2*k - o + 1, -4*g + 3*k = -41. What is the least common multiple of g and 22?
154
Suppose 0*r + r + 9 = 0. Calculate the lowest common multiple of r/((-9)/14) + 0 and 8.
56
Suppose -2*h - h + 12 = 0. Suppose 4*b - 328 = -4*v, h*b + 84 = 5*b + 2*v. What is the common denominator of -32/5 and 72/b*65/6?
20
Let k = -3/1094 + -23515/2188. What is the common denominator of k and 1 + -2 - (-62)/(-24)?
12
Suppose 5*g - y - 15 = 4*y, 2*y = 4*g - 16. What is the least common multiple of g and 9?
45
Let t = -96175/12 + 8010. Find the common denominator of t and -43/24.
24
Let q = -530815/157 + 3381. Let z = q - 15559/1256. Find the common denominator of -103/6 and z.
24
Calculate the common denominator of -31/8 and (-59)/(-57) - (-2)/(-3).
152
What is the common denominator of 4/(-10)*(-5)/(-10)*-51 and 3/11?
55
Let u = 5 - -2. Let a = 23 - u. Let y = 6 + -4. Calculate the lowest common multiple of y and a.
16
Suppose -4*x = s + 3695, -3*s - 2*x + 0*x = 11125. Let j = s + 52001/14. Calculate the common denominator of j and (-166)/28 + (-6)/(-21).
14
Let b = 631948897/80 + -7899511. Let g = 55906/65 + -13152/13. Let f = g - b. Calculate the common denominator of 77/2 and f.
16
What is the common denominator of (-197)/(-12) + (-10)/40 and 3/20?
60
Suppose 4*z - 5 - 7 = 0. Suppose 42 = z*r - 30. What is the least common multiple of -4*2*(-3)/r and 4?
4
Let h = -2595/22 + 235/2. What is the common denominator of h and 3/12 - (-1 + (-220)/208)?
143
Let n be (-172)/(-14) - 12/42. Let g be 9/n*1 + -1. Let u = g + 7/8. Find the common denominator of 113/14 and u.
56
What is the common denominator of 3*((-4)/(-108))/(-1 - -2) and -59/9?
9
Let s = -70 - -100. Let g = 4921/255 - -3/85. Calculate the common denominator of s and g.
3
Let i(a) = a**2 - 9*a + 5. Let t = 2 - -5. Let m be i(t). Let p = m - -19. Calculate the least common multiple of p and 14.
70
Let f = -27316695/11 - -2481096. Let i = -2238 - f. Find the common denominator of i and -52/5.
55
Let l = -1/68 + 1739/340. Let f(w) = -w + 2. Let m be f(3). What is the common denominator of l and (-458)/(-40) - m/4?
10
Suppose 2*h + 8 = -r, -r + 3*r + 2*h + 8 = 0. Let w be 1 - 1 - (r + -2). Suppose 13 = w*g - 3. Calculate the least common multiple of 10 and g.
40
What is the common denominator of 5/22 and (-8)/(-2) - (-5 + (-12)/(-32))?
88
Let c be (-1*1)/((-12)/48). Calculate the common denominator of 75/(-18) - c/6 and ((-6)/(-4))/((-33)/(-41)).
66
Let x = -13 + 16. Suppose -x*r + 16 = -r. Calculate the least common multiple of r and 2.
8
Suppose 5*g - 11 = 4*k, -2*g = k - 0*k + 6. Calculate the smallest common multiple of 8/2*(-1)/g and 2.
4
Suppose -2*h + 3*h - 76 = 3*q, 2*q = -4*h + 248. Let u = h + -237/4. What is the common denominator of 31/6 and u?
12
Let d(t) = 3*t - 8. Suppose 0 = 5*v + 4*j - 20, -5*v + 3*j + 64 = 9. What is the lowest common multiple of 10 and d(v)?
80
Let v = -1/1523 - 111175/6092. Let z = 6239/10089 - -7/531. Let f = z - 91/114. What is the common denominator of f and v?
12
Let s be (-24)/18*(-93)/2. Calculate the common denominator of 53/16 and ((-54)/(-60))/(12/s).
80
Let a = -571207/36 - -15868. Find the common denominator of a and -91/4.
36
Find the common denominator of (-4)/(-10) + (-54)/(-6) and 35/8.
40
Suppose 2*i + m - 19 = 0, i + 17 = 2*i - 2*m. Let k(w) = -w**2 - w + 2. Calculate the lowest common multiple of k(0) and i.
22
Let a = -9700448 + 2619124033/270. Let v = 5539/999 + -340/111. Let m = v - a. Calculate the common denominator of 39/8 and m.
40
Calculate the common denominator of 37/6 and (4/(-6))/((-112)/(-1356) + 0).
42
What is the lowest common multiple of (8/10 + -2)/(6/(-40)) and 10?
40
Let k be (2 - -1)*2/(-6). What is the common denominator of k/44*(0 + -46) and 113/20?
220
Let z(t) = -t**3 + 6*t**2 + 2. Calculate the least common multiple