t common multiple of 8 and (-5)/(-3) + l/12.
8
Let g(x) = x**2 + 6*x - 3. Let b be g(-7). Suppose 4*d + 5*u - b = 0, 0 = -5*d + 4*u - 16 - 20. What is the smallest common multiple of 6/4*d/(-3) and 2?
2
Let c = -2363 - -7156/3. Calculate the common denominator of c and 8/(-6) + (-169)/24.
24
Let f(l) = 8*l**3 - 2*l**2 + 2*l - 1. What is the lowest common multiple of f(1) and 1?
7
Let k = 151/72 + -11/9. Let t(j) = -54*j**3 - 2*j**2 + 5*j + 3. Let s be t(6). Let a = -163951/14 - s. What is the common denominator of a and k?
56
Let d = -43243950245/14648514342 + 16070/648681. Let f = d + -2/1613. Find the common denominator of -3/20 and f.
140
Let z = -3198 - -19073/6. Let q = 2905 - 11707/4. Find the common denominator of q and z.
12
Suppose 22 = 2*l - 5*b, -3*l = b - 37 + 4. Let w be (-3)/(-12) + (-63)/12. Let q = w + l. What is the lowest common multiple of 3 and q?
6
Let y = -919/4 - -3749/16. Let t be 3 + -3 - (-3297226)/398340. Let d = -4/11065 - t. Calculate the common denominator of y and d.
144
Suppose x = -4*c - 12, 0*c + 20 = -4*c. What is the smallest common multiple of 20 and x?
40
Suppose 11*b - 66 - 33 = 0. Calculate the lowest common multiple of 6 and b.
18
What is the least common multiple of -6*((-21)/18)/1 and 10?
70
Suppose 2*y = -y - 822. Let b = 4203/70 - 332/5. What is the common denominator of b and (12/(-18))/((-24)/y)?
126
Suppose 89 = 4*u + 1. Let l be 8 + 3/(-1) - 1. Let v(z) = 7*z - 6. Calculate the lowest common multiple of v(l) and u.
22
Suppose -2*h - 2*w = -w - 5, 5*w = -3*h + 4. What is the least common multiple of h and 5?
15
Let r = 17 - 8. Let w be -15 - (0 + 0)/(-1). Let y = 26 + w. Calculate the least common multiple of r and y.
99
Let a = 6380 - 63683/10. What is the common denominator of -37/12 and a?
60
Let d(f) = f + 9. What is the lowest common multiple of 5 and d(0)?
45
Let i = -57131/6 + 9545. Let z = 87/112 + 407/16. Let j = -222/7 + z. Calculate the common denominator of j and i.
6
Let s(f) = 9*f - 4. Let g be s(6). Let z be 152/(-5) - (-4)/10. Let m = g + z. What is the lowest common multiple of 12 and m?
60
Let r = 4/4763 + 423827/95260. Find the common denominator of 870/(-200) - 1/2 and r.
20
Let r = 3422/5 + -679. Suppose 555 = -5*v + 3*t - 0*t, 5*v + 3*t + 525 = 0. Let i = v - -959/8. Find the common denominator of i and r.
40
Suppose 1 = -d - 3*n, 4*d + 4*n = -2 + 6. Suppose 0 = 9*x - 3*x - 66. Calculate the least common multiple of x and d.
22
Calculate the common denominator of 27 and 12/15*(-35)/(-6).
3
Suppose -2*q = -4*u + 3*q + 65, 3*u - 20 = -2*q. What is the lowest common multiple of 5 and u?
10
Suppose 6 + 2 = 2*k. Suppose -k*g + g = 0. Suppose 2*d + 0*a - 3*a - 51 = g, -59 = -3*d + a. Calculate the smallest common multiple of d and 22.
198
Let m = 9825/8 + -1230. Let j be -59*(-1 + 280/6). Let z = j - -2670. Find the common denominator of z and m.
24
Let p = -44 + -3. Let c = p + 72. Let r = 39 - c. Calculate the least common multiple of r and 16.
112
Let q be (1599/378)/((-1)/4). Let r = q - -116981/126. Let v = r + -931. What is the common denominator of -99/20 and v?
20
Find the common denominator of ((-124)/24)/(-2 - 0) and 11/16.
48
Let t be ((-1)/4)/((-3)/(-5991)). Let z = t - -495. What is the common denominator of z and (-1)/(-2) + 20/11?
44
Let a = 10 - 5. Suppose -3 = -d + g, g + 2*g + 19 = a*d. What is the common denominator of 31/10 and d/(3/((-6)/4))?
10
Let j be -1222 + 2 + 1 + -4. Find the common denominator of (-12)/66 - j/(-110) and -33/8.
40
Let u(c) = 5*c**2 + 2*c - 4. What is the smallest common multiple of u(1) and 63?
63
Suppose 2*i - 7 + 42 = 5*j, 0 = -4*j - 4*i + 28. What is the lowest common multiple of j and 10?
70
Suppose -5*v + 0*v = -150. What is the common denominator of -37/6 and 1 - (483/v)/(-7)?
30
Let t = -2 - -4. Let j be (-2)/t + (-179)/(-157). Let g = j - -5812/1099. What is the common denominator of 151/6 and g?
42
Suppose 0 = -m - 5 + 6. Let s be (m - 1) + (-48 - -2). Let y = s - -64. What is the smallest common multiple of y and 14?
126
Let x = -14899/30 - -1483/3. Calculate the common denominator of x and (-1)/(-7)*(9 - -28).
70
Let w be 0 + -2 + (-182217)/(-30). Let c = w + -6065. Calculate the common denominator of c and 43/22.
110
Let m(f) = -4*f - 2. Let b be m(-2). Let w(x) = x**3 - 5*x**2 - 4*x - 4. Calculate the least common multiple of w(b) and 18.
72
Suppose 0*d = -3*d + t + 6, 2 = d - 5*t. Suppose 3*i = 4*p - i - 20, -4*p + d*i = -14. What is the lowest common multiple of 10 and p?
10
Let u = -157/42 - 41/63. Calculate the common denominator of u and (-378)/40 - (-13 - -8).
180
Let u = -358 + 1811/5. Find the common denominator of 53/45 and u.
45
Let c = -1139/34713 - 2/1197. Let d = -41442 + 6009172/145. Let o = c - d. What is the common denominator of 63/2 and o?
10
Suppose 5*g + 5*o + 25 = 0, g + g - 2*o = 2. Calculate the common denominator of g/3 - 501/72 and ((-3)/4)/((-2)/28).
8
Suppose 5*f + 34 = -46. Let l = -9 - f. Let h(w) = w**3 + 3*w**2 - 5*w + 2. What is the smallest common multiple of h(-4) and l?
42
Suppose 0 = -3*u - d + 7, -u - 3*d - 11 = -6*d. Let c be 7/2 + (-6)/12. Suppose c + 1 = 2*p. Calculate the least common multiple of p and u.
2
Let r(f) = -f + 7. Let y be 0/(3/((-6)/(-4))). Calculate the smallest common multiple of r(6) and y - -4 - (-1 + 1).
4
Let i be ((-6)/(-3) - 0) + 0. Let a(m) = -m + 4. Let j be a(i). Suppose -w = w + 5*n - 14, -7 = -w + j*n. Calculate the smallest common multiple of 3 and w.
21
Suppose 3*g - 26 = -a, -7*a - 20 = -2*a. What is the lowest common multiple of g and 4?
20
Suppose -i = 4*i + 10. Suppose 110 = 3*m - 49. Calculate the common denominator of -57/10 and (m/(-4))/(8/i).
80
Let a(b) = b**3 - 2*b**2 - 3*b - 2. Let i be a(3). Let j = 59/26 + -2023/78. What is the common denominator of j and (166/(-48))/(i/6)?
24
Let l = -13 - -22. Let i(h) = h**2 - 4*h - 1. What is the least common multiple of i(5) and l?
36
Suppose -6*b + b - 5*j = -5, 20 = 4*b - 4*j. Calculate the lowest common multiple of 27 and b.
27
Let v = 113/5 - 656/35. Let n = -3/83 + -2709/830. What is the common denominator of n and v?
70
Suppose 0 = 2*q - 3*q + 25. Let i = 1 + q. Suppose 0*p - p + i = -4*y, p + 4*y = -14. Calculate the least common multiple of p and 8.
24
Suppose 4*v + 4*o - 4 = -0*v, 5*o = -2*v - 1. Let s(b) be the first derivative of b**3/3 + 3*b**2/2 - 3. Calculate the lowest common multiple of v and s(-5).
10
Let x(p) = 2*p + 1. Let v be x(1). Suppose 0 = -5*t + v + 12. Find the common denominator of -95/12 and (66/(-8))/(-3) - t.
12
Let t = -147/61 + 8363/610. Let h = -325937/19510 + 12/1951. Let r = 1/5 + h. What is the common denominator of t and r?
10
Suppose 15*h - 105 = 12*h. Suppose 3*m + 2 = 17. Suppose 3*v + 4 = -2*s + 40, m*v = 5*s + h. What is the lowest common multiple of 1 and v?
10
Let b = -11183/9 - -1244. Find the common denominator of b and 65/4.
36
Suppose y - 4*c - 8 - 2 = 0, y - 3*c - 8 = 0. Let h = 32 - 50. Let f = h + 27. Calculate the lowest common multiple of f and y.
18
Let y(x) = -20*x. Let z be y(-2). Suppose j - z = -j. Calculate the lowest common multiple of j and 4.
20
Let n(l) = l**2 + 4*l + 5. Suppose 5*x - 2*f = 8, -2*x + 0*f = -5*f + 1. What is the least common multiple of (12/16)/(x/48) and n(-5)?
90
Let y be 4/(3*(-6)/(-9)). Suppose 209 = 5*s + 3*a, -y*s - 5*a = -3*a - 86. Find the common denominator of 68/(-3) - (-1 - -2) and s.
3
Let p = -7127965/6 + 1192274. Let n = -4316 + p. Let x = -1249/42 - n. What is the common denominator of -40 and x?
7
Let z = -2293 + 32117/14. Let o = -3715/2 - -1896. Calculate the common denominator of z and o.
14
Let k be (1 + -1 - -1)*1. Let f be 2/(-11574)*2/k. Let q = f + 133117/46296. Calculate the common denominator of q and -81/16.
16
Suppose 28 = -5*d + 8, 2*n - 12 = -4*d. Calculate the smallest common multiple of 9 and n.
126
Let g(z) = z**3 + z**2 - z - 2. Let w be g(2). Suppose 10 = 2*x - 3*j + j, 4 = 4*x + 4*j. Suppose w + 7 = x*n. What is the least common multiple of 6 and n?
30
Suppose -5*z + 2*z = 0. Suppose -3*q + 4*p + p = -2, 2*p - 4 = z. Let f = 24 + -18. What is the least common multiple of q and f?
12
Calculate the common denominator of ((-188)/(-80))/((-2)/(-4)) and 39/5.
10
Suppose 0*q + 4*q = -12, 5*q 