(-1)/2 + (-63)/(-6). Let a = -30 + -32. Find the common denominator of 99/16 and 5/p*a/(-4).
16
Let r = -11649049/524 + 22231. Let q = r + -15957/2620. What is the common denominator of q and 37/14?
70
What is the common denominator of (-2 + 130/(-16) - -1) + -1 and 25/6?
24
Let z be (1/((-1)/36))/(-1). What is the common denominator of 2/(z/291) + -3 and (-100)/6*(-2)/15?
18
Suppose 0 = -3*q + 4*q, -5*b + 90 = -q. What is the smallest common multiple of b and ((-8)/1)/(-1*1)?
72
Suppose 7*z - 2*z = 20. Suppose 2*u - 4*c - 16 = -0*c, -26 = -5*u - z*c. Suppose -12 = h - 4*h. What is the least common multiple of u and h?
12
Let i be 4/10 + (-23731)/90. Let j = -2560/9 - i. Find the common denominator of j and 19/12.
12
Calculate the common denominator of 1/3 + 228/(-96) and -113/48.
48
Let v be 3405/4 - (-4 + 2). Let g = v + -860. Let p = 229/172 + 4/215. Calculate the common denominator of p and g.
20
What is the common denominator of 53*((-9)/38)/(-9) and 107/12?
228
Suppose -3*g + 36 = -n, 4*n - 22 = -4*g + 26. What is the lowest common multiple of g and 2?
12
Suppose -54 = -4*i - 5*y + 3*y, -3*y = -2*i + 31. Suppose -5*o - 75 = -10*o - 5*x, 3*x = 3*o - 63. What is the least common multiple of o and i?
126
Let t(v) = 23*v**3 + 2*v**2 - 3*v. Let f be t(3). What is the least common multiple of f/39 + (-6)/39 and 12?
48
Suppose 0*b + 18 = 2*b. Calculate the least common multiple of ((-5)/(-2)*6)/((-3)/(-2)) and b.
90
Let f(r) = 2*r**3 - 2*r**2 + 3*r + 1. Let s be f(3). Suppose 3*d - 2*d - 18 = 3*q, 3*d - 5*q - s = 0. Calculate the smallest common multiple of d and 20.
60
What is the least common multiple of 9 and (-2)/(-7) - (-4)/28*124?
18
Suppose 4*p + 830 = -p. Suppose -5*b + 2 = 17. Calculate the common denominator of b + p/8 + 3 and 45/8.
8
Let w(q) = q**2 - 12*q + 21. Calculate the smallest common multiple of w(11) and 4.
20
Suppose 0 = -2*g - 8, -3*z + g + 3*g = -34. What is the lowest common multiple of 18 and z?
18
Let a(o) = o**2 + 10*o - 3. What is the smallest common multiple of a(-11) and 0 + 2 + (-1 - 0)?
8
Let x = -19 + 125/6. Let t = -2287 - -13801/6. What is the common denominator of t and x?
6
Suppose -240 = -4*k + 7*k. Calculate the common denominator of 108/k - (-2 - -2) and -93/2.
20
Suppose -5*f - 30 = 5*a, -2*f + 9 = -f - 2*a. Let v(y) = 3*y**2 - y. What is the smallest common multiple of 11 and v(f)?
44
What is the common denominator of 89/18 and (-4867)/(-2511) - (-2)/(-1)?
162
Let m(i) = -i**3 + 3*i**2 - i - 1. Let o be m(2). Suppose -2*k - 1 = 3*p, -2*p = -3*p - k - o. What is the common denominator of -23/4 and p - 1 - (-18)/(-96)?
16
Suppose -4*o + 2*l + 24 = 0, 2*o - 15 + 3 = -3*l. Suppose -2*k = 5*a - 20, 19 = 5*k - o. Calculate the least common multiple of 20 and a.
20
Let t = -68 - -110. Calculate the smallest common multiple of t and 18.
126
Let j(n) = 3*n + 7. Let y be j(-7). Calculate the common denominator of 4180/(-231) + (-6)/y and 39/8.
24
Let k(v) = v**3 - 6*v**2 - 10*v + 9. Let b be k(7). Let u = -451 - -7207/16. Calculate the common denominator of u and ((-606)/(-63))/(b/7).
144
Let j(y) = y**3 - 7*y**2 - 7*y + 1. What is the lowest common multiple of j(8) and 4?
36
Let p = -813 - -1573/2. Suppose -26 - 22 = 2*c. Calculate the common denominator of p and (-2 + 237/c)/(-1).
8
Let p(h) = -h**2 + 2*h. Let k(t) be the second derivative of -t**5/20 + t**4/3 + 2*t**2 - t. What is the smallest common multiple of k(4) and p(1)?
4
Calculate the lowest common multiple of 7/2 + (-10)/20 and 11.
33
Let q = 13081/12 + -1089. Let r(c) = -8*c. Let z be r(-4). Let k = -121/4 + z. What is the common denominator of k and q?
12
Let z = -26 + 33. What is the smallest common multiple of z and 1?
7
Let n = 2880/7 + -32030/77. What is the common denominator of n and (0 - -94)*2/28?
77
Let q = -2 + 2. Calculate the common denominator of -47/14 and (-209)/22 - (0 + q).
14
What is the smallest common multiple of 11 - (-2 + -1 + 3) and 5?
55
Let f = 3/174143 - 1299977513/1044858. Let c = f + 1237. Let g = -5599 + 55943/10. Calculate the common denominator of g and c.
30
Suppose 0 = -z + 1 + 2. Suppose 2*a - a - 6 = 0. Suppose 2*u = a*u - 40. Calculate the least common multiple of z and u.
30
Suppose -5 = -0*r + 5*r + 5*a, a = -1. Suppose -3*t + 8*t - 20 = r. What is the smallest common multiple of t and 5?
20
Let s = 108 + -94. Suppose n - 1 = -3. Let v = n + 6. Calculate the lowest common multiple of s and v.
28
Find the common denominator of 91/12 and ((-141)/(-6) - 2) + 3.
12
Suppose 2*p = 2*h - 258, 0 = 3*p + p + h + 511. Let m be (-486)/p - (-3)/12. Let s = -2489/192 + m. Find the common denominator of s and 5/16.
48
Let b = 36 + -14. What is the least common multiple of b and 12?
132
Let p = 29 - 28. Suppose 2*n + 8 = -2*n + 3*l, 0 = l - 4. Calculate the least common multiple of n and p.
1
Let x = -8 + 11. Suppose -p + 5*q = 20, -x*q + 10 = -0*p - p. Let o = 58 + -50. Calculate the least common multiple of o and p.
40
Let k = 3 + -11/4. Find the common denominator of k and 29/28.
28
Let g be (-25)/(-10)*1*2. Suppose 5*x = -3*a - g, 0*x = -2*x - 5*a - 21. Calculate the least common multiple of 6 and x.
6
Suppose x - 6 = 5*x + 2*j, -15 = 5*j. Suppose 0 = 4*k - 3*k - 3*q - 15, x = -4*k + 5*q + 39. What is the lowest common multiple of k and 1?
6
Suppose 2*d = 5*d + 9. Let k(q) = q + 4. Let x(b) = -b**3 + b**2 + b + 1. Calculate the least common multiple of x(0) and k(d).
1
Let k = -32 + 46. Suppose 5*l = -3*n + 11, -n - 3 + 0 = 0. What is the least common multiple of k and l?
28
Suppose -4*b - 12 = 4*z, -2*z = -3*z - 4*b - 6. Calculate the common denominator of 89/6 and 0 + (255/z)/5.
6
Suppose j + 29 = 5*d - 15, 2*j = -2*d + 8. Calculate the common denominator of -4 + 11 - (-3)/(-12)*-6 and (-254)/(-8) - 2/d.
2
Let b(x) be the second derivative of x**5/20 + x**4/6 - 5*x**3/6 - 2*x**2 - 7*x. Calculate the least common multiple of b(-3) and 1.
2
Suppose 0 = -5*m + 4*r + 12, -m - 4 + 16 = -4*r. Suppose 5*c - 2*c - 36 = m. What is the lowest common multiple of 16 and c?
48
Let d be (1/(-2))/(12/(-31368)). Let s = 633778927/486462 - 3/81077. Let r = d - s. Find the common denominator of r and -21/8.
24
Let b(y) = -75*y**3 + 2*y**2 + y. Let k be b(-2). Find the common denominator of (k/(-36))/(1*-1) and -40 + (-2)/(-2) + 0.
6
Let h = -2680 - -32123/12. Let u = -919 - -5501/6. What is the common denominator of u and h?
12
Let t = 341 - 12151/36. Find the common denominator of t and -119/12.
36
Find the common denominator of -1 - 237/(-36) - 1 and 67/14.
84
Find the common denominator of 73/10 and 2/8 + (-4)/(544/234).
170
Let x = -4375/2 + 2146. Calculate the common denominator of x and -93/4.
4
Let i(x) = -x**3 - 5*x**2 + x + 5. Let a be i(-5). Suppose -s = -2*z + 16, a*z - z - s + 2 = 0. What is the smallest common multiple of z and 3?
6
Suppose 2*x - 88 = -4*w, 224 = 5*x + 3*w + 32. What is the lowest common multiple of x and 44?
396
Let v = -361327/190566 - 40/3529. What is the common denominator of -31 and v?
54
Suppose -y + 4*w = -62, -3*y + 0*w + 186 = -4*w. Let i = -256057/42340 - 5/2117. Find the common denominator of y/12 + 0 + 0 and i.
60
Suppose -4*j - 71 = -t, -j - 3*j - 122 = -2*t. What is the smallest common multiple of t and 30?
510
What is the common denominator of -5/21 and (-1)/(-2) + (-1253)/126 - -1?
63
Let k be (2/(-5))/(4/(-20)). What is the common denominator of (39/(-48))/((-2)/(-6)) and k/(-1)*93/12?
16
What is the smallest common multiple of 2 and (1*3 + 25 + -19)*1?
18
Let j = 1080/617 + -8416499/4936. Let r = 1701 + j. Calculate the common denominator of (0 - 0) + (-71)/18 and r.
72
Suppose y - 30 = 5*l, 0*l + 20 = -y - 5*l. Suppose 0 = -y*p - 0*p + 20. Suppose 0 = -4*b - 4 + 36. What is the lowest common multiple of p and b?
8
Let y(v) = -v**3 + 5*v**2 - 4*v + 2. Let s be y(4). Suppose c - 14 = s. Calculate the lowest common multiple of (5/2)/(2/16) and c.
80
Let q(o) = -3*o + 0 - 2*o + 1 + 0*o. What is the smallest common multiple of q(-1) and 4?
12
Suppose -p + i + 11 = 0, 2*i - 24 - 17 = -5*p. Let f = 35 + -24. What is the smallest common multiple of f and p?
99
Let q be (1 - 2)*4671/(-6). Let h = q - 826. What is the common denominator of h and 3 - 83/(-4) - 2?
4
Let d be (15/9)/(1/(-3)). Let u