60
Let b(x) = -x**2 - 8*x - 7. Let t be b(-6). Find the common denominator of (-2 - t/8)*-4 and -55/8.
8
Suppose 2*t + 4*t - 234 = 0. What is the common denominator of 27 and t?
1
Let t = 25/4 + -59/8. What is the common denominator of t and 190/36 - (-2 - -3)?
72
Let d(w) = w**3 - 6*w**2 - 6*w - 6. Suppose 4*m = 5*z - 145, z + 5*m = -0*m. Suppose 0 = -4*u - 9 + z. Calculate the lowest common multiple of d(7) and u.
4
Suppose 51*u - 56*u = -980. What is the smallest common multiple of u and 14?
196
Suppose -p = -5*p - 8. Suppose -5*x + 4*x + 25 = 5*m, -x + 15 = -5*m. What is the smallest common multiple of x and 9/3 + 3 + p?
20
Let d = -42 - -67. Calculate the common denominator of -13/2 and d*3/(-12) + 0.
4
Let a be (42/10)/((-3)/15). Find the common denominator of ((-6)/(-20))/(a/(-644)) and (28/8)/((-27)/42).
45
Suppose -1 = -8*l + 39. Let c(n) be the first derivative of n**2/2 + 5*n - 1. Calculate the lowest common multiple of 8 and c(l).
40
Suppose 0 = 4*d + n - 292, 2*n + 312 = 4*d - 2*n. Suppose 5*w - d = 26. What is the lowest common multiple of w and 12?
60
Let v = 1027709/50 - 20555. Find the common denominator of v and -12/11.
550
Let d(f) = f**3 + 2*f**2 - 2*f + 1. Suppose 4*g - 2*g = -3*q + 24, 5*q - g - 40 = 0. What is the smallest common multiple of d(1) and q?
8
What is the common denominator of (-6)/60*(-4 + 1) and -99/2?
10
Suppose -5*a + 4*j = -86, -j = 2*a - 3*j - 36. Calculate the smallest common multiple of a and 8.
56
Let c(x) = 9*x - 3. What is the least common multiple of 33 and c(2)?
165
Let g be (3/(-2))/((-9)/6). Let t be 26/3 + (-2)/(-6). Let l = g + t. What is the lowest common multiple of l and 8?
40
Let h = 52 + -30. What is the lowest common multiple of 18 and h?
198
Suppose -5*t + 3*t = -2. Let m = t - 2. Let i = m + 5. Calculate the least common multiple of i and 4.
4
Suppose -o + 6 = 5*a + 1, 0 = -o - 2*a + 14. Suppose -t + o = -0. What is the smallest common multiple of 14 and t?
140
Suppose 5*n + 4*j = 9*j + 50, -5*n + 42 = -3*j. Calculate the least common multiple of (16/(-10))/4*-25 and n.
30
Let g(q) = 11*q + 23. Let a(j) = 2*j + 4. Let u(x) = 34*a(x) - 6*g(x). Suppose 0 = -0*l + 2*l - 18. What is the lowest common multiple of u(6) and l?
90
Let y be (-32)/(-18) + (-2)/(-9). Suppose -3*d = -y*d - 2*r + 206, -d - 3*r = 186. Find the common denominator of 61/8 and ((-27)/d)/(3/(-13)).
88
Let u = 9 + -9. Suppose u*k + 2*k = -4*x + 4, 3*k - 2*x - 6 = 0. What is the smallest common multiple of k and 3?
6
Suppose 0 = k - 2*k. What is the least common multiple of 2 and -2 - k - (1 - 10)?
14
Suppose -5*d = -0*k - 2*k - 32, 14 = 3*d + 4*k. Calculate the lowest common multiple of 5 and d.
30
Let o = -374 + 592. What is the common denominator of (-10)/12*o/10 and -2 + ((-340)/8 - -3)?
6
Let u = 4535/4 + -1125. Let o = -5845/1422 + 13/237. What is the common denominator of u and o?
36
Suppose -2 = 2*b - 0. Let z(a) = 3*a**2 - 2*a - 1. Suppose 3*p + p - 80 = 0. What is the smallest common multiple of p and z(b)?
20
Let r(x) be the third derivative of -x**6/12 + x**5/60 + x**4/24 + 2*x**2. Calculate the least common multiple of 8 and r(-1).
40
Let y be 9/(2 + 1) + 45. Suppose 0*q = -3*q + y. Calculate the least common multiple of q and 2.
16
What is the common denominator of (-74)/(-24)*2 - 2 and (8372/(-1150))/(8/10)?
30
Suppose 3*n + 12 = -n, -3*n = j + 3. Suppose a + a = j. Suppose -3*h = -6, 0*w + 3*w - 24 = a*h. What is the lowest common multiple of 18 and w?
90
Suppose -3*t = -i + 2, 0 = -2*i - 5*t + 3*t + 12. What is the least common multiple of 1 and i?
5
Suppose -2*l - 4 = -16. Suppose 46 = 5*h - 3*j, -2*h + 17 = j - 8. What is the least common multiple of l and h?
66
Let u = 278811/16 - 17432. Find the common denominator of 93/22 and u.
176
Let c be (-230)/(-6) - (-14)/21. Calculate the common denominator of 58/5 and (3/(-15) + 0)*c.
5
Let w be (-28)/3*(-3)/(-2). Find the common denominator of (5/3)/(w/33) and 79/2.
14
Let i = -1 + -1. Let j = i + 10. What is the least common multiple of j and ((-33)/22)/((-6)/20)?
40
Calculate the common denominator of -16/15 and 127/(-12)*-2*(-3)/12.
120
Let b be -1 - (-2 + 1/(-1)). Suppose -4*u - 5*p + 64 = 0, -25 = -5*u + b*p + 88. Calculate the lowest common multiple of 48/u - 4/14 and 2.
2
Let y = -19/3 + 85/12. What is the common denominator of y and -21/8?
8
Let y = 9 + -6. Suppose 3*u - 25 = -0*u - 2*h, -4*u = -y*h - 22. Calculate the lowest common multiple of 1 and u.
7
Let r = 6 + -3. Suppose r*d + 2 = 14. Suppose -2*h - v + 13 = 0, -3*h - d*v - v + 2 = 0. What is the least common multiple of 7 and h?
63
Let h be -4 + 7 - (-873)/(-91). Let y = h + 2809/1820. What is the common denominator of 2/7 and y?
140
Let h = 69 - 49. Suppose 4*r = -4, -c = -6*c + r + 16. Suppose -c*d + 1 = -17. Calculate the lowest common multiple of d and h.
60
Suppose 1 + 5 = -3*t. Calculate the smallest common multiple of -22*t/(-8)*-2 and 3.
33
Suppose 3*j = -0*q + q - 14, 2*j - 53 = -5*q. Calculate the lowest common multiple of 7 and q.
77
Suppose -a = -6*a + 20. Let x be -102 + -1*(-1 + a). What is the common denominator of -37/18 and (x/4)/(-5) + -1?
36
Let g(c) = c**2 + 2*c - 9. Suppose -y + 1 = -1. Calculate the smallest common multiple of y and g(-5).
6
What is the common denominator of (-597)/108 + (-2)/8 and -1/9?
9
Suppose -4*t = -878 - 290. Suppose t = -5*n + n. What is the common denominator of -35/6 and n/3 - (-1)/(-2)?
6
Let o = 779 - 5400/7. What is the common denominator of o and 47/20?
140
Let w be (-103166)/60 + (-2)/(-6). Let k = 1713 + w. Let p = -200/9 - -3119/144. Find the common denominator of k and p.
80
Let k be (-11)/(-5) + (-14)/70. Suppose k*w - 60 = -4*w. Calculate the lowest common multiple of 5 and w.
10
Let d = -2173/9 - -242. Calculate the common denominator of -1/8 and d.
72
Let h(j) = 2*j**2 - 7*j - 6. What is the lowest common multiple of 15 and h(5)?
45
Let t be 1*3 - (-6)/3. Suppose 35 - 8 = -4*y - 3*f, t*y + 5 = 2*f. Let x = y - -5. Calculate the least common multiple of 7 and x.
14
Let y = -124189/18 - -6907. What is the common denominator of y and 41/18?
18
Suppose h - 4 = -1. Let k(x) = -4*x - 1. Let c be k(-1). Suppose 2*d + t + c*t = -6, -t = 4*d - 16. What is the least common multiple of h and d?
15
Let k = 2 - 2. Suppose 4*o = -k*o + 8. Find the common denominator of 1095/(-40)*o/(-3) and 19/16.
16
Let j be (-17)/(-4) + (-1)/4. Suppose j = 13*l - 11*l. What is the lowest common multiple of l and 6?
6
Let d = 9 - -2. What is the smallest common multiple of 3 and d?
33
Let r(q) = -9*q - 7. Calculate the least common multiple of 6 and r(-3).
60
Let g = 295887/31 - 9546. What is the common denominator of g and 53/2?
62
Let q be ((-96)/14085)/(4/(-10)). Let y = -96877/9390 + q. Let b = -1159/3300 + 1/825. What is the common denominator of b and y?
20
Let o(z) = 19*z**2 - z + 4. Let u be o(-3). What is the common denominator of 2/3 + u/(-12) and -59/14?
42
Suppose 58 = 15*w - 182. What is the least common multiple of 8/3 + (-4)/6 and w?
16
What is the lowest common multiple of ((-14)/4)/(-1*3/6) and 3?
21
Let k be ((-13)/(-8))/((-1)/(-1002)). Let u = k + -1646. Calculate the common denominator of -2 - (95/(-22) + -1) and u.
44
Let k be (3/8973)/((-2)/(-3)). Let h = 36390/997 + k. Find the common denominator of h and (1/(-10))/(6/(-465)).
4
Let t(h) = 6*h + 43. Calculate the least common multiple of 9 and t(-7).
9
Let n(t) = 2*t + 2. Let c be n(-2). Let k(u) = 5*u**2 + u. Calculate the least common multiple of 10 and k(c).
90
Let t(n) = -n**2 + 7*n + 4. What is the least common multiple of 18 and t(4)?
144
Suppose -2*w + 0*w + 38 = 0. Let y = w - 9. Suppose -2 = -v + 16. Calculate the smallest common multiple of v and y.
90
Let b be (-4)/1*3/(-12). What is the smallest common multiple of 9 and (2 + -1)/(b/2)?
18
Let l(v) = -v**3 + 6*v**2 - 3*v. Let r be l(3). Calculate the common denominator of 95/18 and 114/27 + 3/r.
18
Let t = 1842/1387 - -34671837/13870. Let l = t - 2505. What is the common denominator of l and 299/12 - (315/36 - 9)?
30
What is the least common multiple of (-14)/(-49) - 26/(-7) and 4?
4
What is the common denominator of ((-11)/(-8))/(90/(-72)) and -49/5?
10
Let a = -1 + 0. What is the least common multiple of (2 + 0 + a)*1 a