alculate the common denominator of 97/30 and 6*3/81 + (-1281)/54.
30
Let s(x) = -x**2 - 16*x - 14. What is the smallest common multiple of 36 and s(-14)?
252
Let h = 12 - -2. Calculate the smallest common multiple of 10 and h.
70
Let m = -1152 - -20689/18. Calculate the common denominator of m and -6 + ((-179)/(-14) - 4).
126
Let w(b) = -b**3 - 4*b**2 + 5*b + 2. Let a be w(-5). Suppose 2*g + 79 = -273. Find the common denominator of a/(-4)*g/(-6) and -2/11.
33
What is the least common multiple of 27*(-4)/(-24)*32 and 22?
1584
Let m be ((-2)/5)/((-3)/30). Suppose 0 = -m*q + 16, -5*q + 84 = 4*w - q. Suppose 3*k - w = 31. What is the least common multiple of 2 and k?
16
Let q = 13 - 7. What is the smallest common multiple of q and 1?
6
Suppose -5*m + 5*p = -2*m + 2, 0 = 3*p - 12. Let i = 17 - m. Suppose 12*l + 51 = 171. Calculate the lowest common multiple of l and i.
110
Let b be 1/(-5) - 242/(-10). What is the common denominator of (39/b)/((-4)/56) and 8/5?
20
Let u = 12187391/9 + -1352193. Let v be (2 + -6)*(-5895)/(-12). Let b = u + v. Calculate the common denominator of 26/7 and b.
63
Let c(s) = -s**2 + 10*s - 8. Let i be c(7). Suppose i = r - 9. Calculate the least common multiple of (-17)/(-1)*1 + -3 and r.
154
Let q(w) = w**3 - 5*w**2 + 2*w - 7. Let t be q(5). Calculate the common denominator of -19/5 and 138/(-9)*t/5.
5
Find the common denominator of -127/18 and 14/(-12)*(-2)/840*-5.
72
Let v(f) = f + 12. Let a be v(-9). Let i be 25/(-4) + a/12. What is the lowest common multiple of (-9)/i - (-1)/2 and 9?
18
Let h = 88 + -87. What is the smallest common multiple of 5 and h?
5
Let y = 6 - 4. Suppose 2*g + y*p + 2 = 0, 4*g - p + 5 = 2*g. What is the least common multiple of 4 and (g + 4)/((-2)/(-5))?
20
Let j = 1207/7 + -15359/84. What is the common denominator of -57/20 and j?
60
Suppose 6 = -0*d + 3*d. Find the common denominator of (d/(-8))/((-8)/(-92)) and 1 - ((-710)/(-8))/(-5).
8
Suppose v - 60 = -3*v. Calculate the common denominator of -83/10 and v/(-33)*(-18)/(-2).
110
Let t = 149/7 + -3529/126. Find the common denominator of 13/20 and t.
180
Suppose 3*a + a + 3*g = 138, -2*a + 74 = 4*g. Let h = 16 - a. Let x = h + 28. What is the smallest common multiple of x and 2?
22
Let l(x) = -3*x - 5. Let f be l(-12). Suppose -3*n - 5*j = -f, 1 = j - 1. Let h(g) = -3*g - 3. What is the lowest common multiple of h(-4) and n?
63
Let k be (-10)/1*(1 + -3). Suppose -2*f - 39 = -5*a + 1, 2*f + 5*a = -k. What is the common denominator of f/(-54)*3*-14 and -25/3?
3
Suppose -r - 18 = 6. Calculate the least common multiple of r/(-18) + (-2)/(-3) and 22.
22
Let z(v) = v**2 - 12*v + 17. What is the least common multiple of z(11) and 38?
114
Suppose 2*b + 2 = -0*b. Let t be -3 - b*(-1 + 2). Find the common denominator of (325/40)/(1/t) and 33/7.
28
What is the lowest common multiple of (-207)/(-27) - (-1)/3 and 2?
8
What is the common denominator of (3/(-18))/(-4*1/(-98)) and 149/12?
12
Suppose 4*w + 0*w - 68 = -5*n, -3*w - 57 = -3*n. What is the least common multiple of 6 and n?
48
Let j = 1143 - 12620/11. What is the common denominator of -93/10 and j?
110
Let i(g) = 7*g + 7. Let m be i(5). Suppose -m = -3*f + 33. Let v = f + -9. Calculate the lowest common multiple of 2 and v.
16
Calculate the common denominator of (2/(-8))/(770/194 + -4) and 21/94.
564
Let k be (-270570)/(-36)*3/(-2940). Let n = 1/392 + k. Calculate the common denominator of (-2)/(-5) + (-696)/(-135) and n.
9
Suppose -2*m - 26 = 2*n, 0 = n + 2*m + 12 - 2. What is the least common multiple of 2 and 1/(-4) - 84/n?
10
Suppose -k + 5 - 1 = 0. Calculate the least common multiple of 28 and k.
28
Let b(x) = -4 + 2 + 5*x - 6. Let i(p) = -5*p + 9. Let l(d) = -7*b(d) - 6*i(d). Calculate the lowest common multiple of 4 and l(-2).
12
Find the common denominator of ((-15)/(-30))/((-4)/(-22)*-5) and -25/2.
20
Calculate the common denominator of 41/12 and (-2)/21*-3 + (-362)/(-2604).
372
Suppose -4*t = -5*b + 97212, b + 3*t + t - 19428 = 0. Let r be b/68334 + (-2)/7. Let q = 151319/6508 + r. What is the common denominator of 87/8 and q?
8
What is the lowest common multiple of (-1 - 2/8)/((-8)/64) and 3?
30
Let x = -5 + 7. Suppose 2*n - 6*n + 4 = 0. What is the least common multiple of (29 - 9/3)*n and x?
26
Let x = 15 - 13. Suppose x*a - 3*s = 2*s + 18, -5*a = -2*s - 24. Calculate the least common multiple of a and 14.
28
Let g = 8 - 6. Suppose -2*n - 10 = 4*u, n + u = -3*n + 8. Suppose w - 14 = 4*m, -5*w - n*m - 3 = -27. Calculate the least common multiple of w and g.
6
Suppose 11 = -4*q + 3, q - 33 = -5*x. Let s = x - 3. Find the common denominator of 43/8 and s.
8
Let y = -2 - -2. Suppose 3*i - 14 = t, y = 3*t + i - 0*i - 8. What is the least common multiple of t and 3?
3
Let q(t) be the first derivative of -t**3/3 + 6*t**2 + 7*t + 9. Calculate the smallest common multiple of 8 and q(11).
72
Let v = -3531/10 - -1794/5. Calculate the common denominator of (-43)/10 + (-1)/1 and v.
10
Let m(b) be the second derivative of b**4/12 + 2*b**3/3 - 5*b**2 - 3*b. What is the lowest common multiple of m(-7) and 5?
55
Let i(k) = k**3 + 5*k**2 + 2*k - 3. Let y be 23/5 + 2/5. Suppose 2*f = 6*g - g - 16, 0 = 2*g - y*f - 19. Calculate the smallest common multiple of i(-3) and g.
18
Suppose -2*d = 3*d - 25. Suppose d*f - 50 = -0*f. What is the lowest common multiple of f and 20?
20
Suppose 0*w - k - 34545 = 4*w, -8646 = w - 3*k. Let m = -120979/14 - w. Find the common denominator of -93/14 and m.
14
Suppose -34 + 1130 = 2*h. What is the common denominator of 1/(-4 - (-2168)/h) and 1/4*38/(-4)?
24
Suppose l - 6 = 5. Let h = l - 8. What is the smallest common multiple of 5 and h?
15
Let s = 106 - 55. What is the lowest common multiple of 9 and s?
153
Suppose 0 = -2*n - 4*u - 10, 0*n + u = -3*n. Let t = n + 3. Let f = t + -2. What is the least common multiple of f and 2?
2
Let p(d) = d**3 - 5*d**2 + 6. Let r be p(5). Suppose r*g + 4*b = g + 6, -5*g + 5 = 5*b. Calculate the smallest common multiple of g/(-9) - 74/(-9) and 8.
8
Let q(u) = 330*u - 9. Let v be q(8). Let n be 6/21 - v/21. What is the common denominator of 31/6 and ((-285)/n)/(8/10)?
60
Suppose -2*t + 5*n = -55, 2*n + 46 = 2*t - 0*n. Suppose -5*a + 33 - 13 = 0. What is the least common multiple of a and t?
20
Let i(p) = -533*p**2 + 7*p - 7. Let t be i(5). Let n = t - -159431/12. Calculate the common denominator of n and -7/4.
12
Calculate the common denominator of 1/3*-3*114/8 and (-19)/9 + 2/9.
36
Let c(k) = -k**3 + 5*k**2 + 8*k - 6. Let s(g) be the third derivative of 7*g**4/24 - g**2. What is the lowest common multiple of c(6) and s(1)?
42
What is the least common multiple of 19 and (2 - 1 - -1) + -1 + 4?
95
Let i = -18/511 + -13437/10220. Calculate the common denominator of i and 1*83*(3/24 + 0).
40
Let g = 1/11308 + -995119/169620. What is the common denominator of 2/3 and g?
15
Let o = -2/2613 - 14789/23517. Find the common denominator of -26/3 and o.
27
Let r = -23 + 8. What is the smallest common multiple of 11 and (-100)/r - (-2)/(-3)?
66
Suppose -8 = -2*r + 4*i, 13 = 4*r - 0*r - 5*i. Calculate the lowest common multiple of r and 9.
18
Let p(f) be the second derivative of f**5/20 + 2*f**4/3 + 4*f**3/3 + f**2 - f. Let a be p(-7). Let w = a + 11. What is the lowest common multiple of 10 and w?
30
Let j = 953 - 4796/5. What is the common denominator of j and 67/8?
40
Suppose -5*n - 3*l - 32 = 50, 0 = 2*l + 8. Let p = 21 + -29. Let x = p - n. Calculate the lowest common multiple of x and 22.
66
Let f(t) = -t**2 - t + 254. Let d be f(0). Let q = -485/2 + d. What is the common denominator of q and 81/4?
4
Let y = -1/697 + -46687/8364. What is the common denominator of (-7 - (-122)/20)/(-2) and y?
60
Calculate the common denominator of 2/(-20)*((-2205)/(-14))/(-7) and -5/12.
12
Suppose 4*u + 3*z = -z + 84, -2*u + 3*z = -47. What is the least common multiple of 14 and u?
154
Suppose 3*q - 22 = -2*o, 0 = -5*o + 3*q + 88 - 12. Calculate the smallest common multiple of -3 + (-1)/((-3)/27) and o.
42
Let s = -4498/5 - -39767/45. Let b = s - -4568/279. Let j = -1137/341 - b. Find the common denominator of j and 61/3.
33
Let l = 929/8 - 125. Find the common denominator of 5/9 and l.
72
Let b = -4 - -10. What is the lowest common multiple of (0 - (-14)/(-1