o/5) and 97/10.
90
Let a(m) = m**3 + 5. Let p be a(0). Suppose -p*r - 4 = -3*r. Calculate the lowest common multiple of 8 + (1 - 2) + r and 11.
55
Let v(z) be the third derivative of z**4/24 + 5*z**3/3 + z**2. Let x(k) = 2*k + 21. Let m be x(-14). Calculate the least common multiple of 9 and v(m).
9
Suppose 3 = 3*v - 3, 0 = -c - v + 20. What is the least common multiple of c and 5?
90
Suppose 3*h - 2 = 28. What is the common denominator of -43 and (-4)/h + (-179)/40?
8
Let q be 70/6*90/8. Let x = q + -1403/12. What is the common denominator of x and 12*(14/(-21))/((-4)/14)?
3
Let j = 1623 - 9703/6. What is the common denominator of j and ((-2)/14)/((-8)/(-16))?
42
Let p = 55925/7362 - -6/409. Calculate the common denominator of 94/(-6 + 12/1) and p.
18
Let x be 2/1*1/2. Find the common denominator of (x/40)/((-1)/186) and 1/(-7) - 2052/(-840).
20
Let y be (5/2)/(-5)*-4. Let l be (-5 + y)/(2/(-2)). Calculate the common denominator of 94/(-24) + 3 + l and -37/18.
36
Let d be (24/9)/(2/(-6)). Let k = 14 + d. Find the common denominator of 89/18 and k/27 + (-1714)/180.
90
Let m = 4963/12 + -1259/3. Find the common denominator of m and 111/14.
84
Let n be (1 - 3)*(-13)/2. Suppose 3*z + 4 = n. Suppose -4*h = -3*r + r - 8, -z*r = 0. Calculate the lowest common multiple of h and 18.
18
Let f(i) = i**3 - 5*i**2 + 3*i - 1. Let y = -5 + 6. Let t = 4 + y. Calculate the lowest common multiple of f(t) and 16.
112
Let v = 381/70 + -47/35. Find the common denominator of v and -21/11.
110
What is the common denominator of 67/16 and 6/(-2) - ((-497)/112 + -2)?
16
Let p(n) = 2 + 0*n - 3*n + 2*n - 3*n. Calculate the smallest common multiple of 2 and p(-3).
14
Suppose 0 = 2*j + 5*i + 12, 4*j + i - 20 + 8 = 0. What is the smallest common multiple of 8 and j?
8
Suppose -7 = -x - 3*x + m, 4*x = 5*m + 3. Suppose 0 = 4*f - y + 40 + 5, -3*y + 15 = 0. Calculate the lowest common multiple of 4 and f/(-4)*1*x.
20
Let m(j) = j**2 + 6*j - 2. Let p be m(-7). Let k(o) = -o**2 - 8*o + 6. Let d be k(-8). Let z = d - p. Calculate the lowest common multiple of z and 8.
8
Let t(y) = y + 8. Let d be t(-9). Calculate the common denominator of 3 - d - (-209)/(-18) and -107/38.
342
Let v = 159/38 + 44/19. What is the common denominator of 3/14 and v?
14
Suppose 4*h - 28 = k, -2*k - 6 - 1 = -h. Calculate the lowest common multiple of h and 7.
7
Suppose 4*j = -2*o - 56, j - 2*o = o. Let s = -9 - j. Calculate the least common multiple of 2 and s.
6
Suppose -70 = -2*h + 4*c - 3*c, -2*h - 4*c + 80 = 0. Suppose -3*p = -6*p + h. Calculate the least common multiple of 2 and p.
12
What is the common denominator of -6*78/81 - 1 and -83/10?
90
Let b be ((-4 - -2) + 1)*4. Calculate the smallest common multiple of ((-10)/25)/(b/10) and 2.
2
Let j be (-3)/(-6) - 210/4. Let n = 84 + j. Calculate the lowest common multiple of n and 12.
96
Let p = -22/45 + 259/990. What is the common denominator of p and 43/4?
44
Let k = -1761763298 - -14111723968511/8010. Let f = -2/445 + k. Find the common denominator of f and -1/6.
18
Calculate the smallest common multiple of 8 and 21/6*8/14.
8
Let a = 5 - 8. What is the common denominator of ((-2)/44)/(3/(-90)) and (a/(-12))/((-2)/(-4))?
22
Calculate the smallest common multiple of 2 - (2/(-2) + -15) and 6.
18
What is the common denominator of -51/4 and 10/(-2 - (-9)/15)?
28
Let s(b) be the second derivative of -b**5/20 - 3*b**4/4 + 7*b**2/2 + 5*b. Calculate the lowest common multiple of 9 and s(-9).
63
Suppose -6*j - 16 = -5*j. Calculate the common denominator of 708/j*(-4)/(-30) and 2/(-4) + 146/6.
30
Let k(z) = z**2 - 6*z + 8. Suppose 0 = 4*f - a - 4*a - 29, 5*f = -3*a + 27. What is the least common multiple of 22 and k(f)?
88
Let f(s) = 3*s + 8. Let n be f(-4). Let q = -2 - n. What is the lowest common multiple of 22 and q?
22
Calculate the lowest common multiple of 12 and 2 - 3 - 30/(-6).
12
Let u(w) = w**2 + 2*w + 3. Let t be (-1 - 4) + 2 + -1. Let x(p) = 2*p**2 + p - 3. What is the least common multiple of x(-2) and u(t)?
33
Suppose 2*a - 4*j + 8 = 52, 4*a - 82 = 2*j. Calculate the lowest common multiple of 100 and a.
100
Let y be -3*(-2)/3*20. Suppose y = k + 3*k. Suppose 3*g + 2*g = 60. Calculate the lowest common multiple of k and g.
60
Calculate the smallest common multiple of 18 and (8/(-6))/(8/(-132)).
198
Let p = 166 - 145. Calculate the smallest common multiple of p and 12.
84
Let i = -2995 - -2109. Let z be (2*4/i)/6. Let x = z + 57151/2658. Calculate the common denominator of -85/2 and x.
2
Suppose -3*j - 12 = j, -4*d + 57 = -3*j. Suppose 3*b - 4*b = -11. Calculate the lowest common multiple of b and d.
132
Suppose -7 - 1 = -4*l. Calculate the smallest common multiple of 19/2 - l/(-4) and 6.
30
Let m be 5/10 + 665/(-69). Let h = -30/23 - m. What is the common denominator of 2/(-6) - 142/24 and h?
12
Suppose 0 + 6 = 2*n. Suppose -66 = -4*a - n*j, 49 = 3*a - 3*j + 5*j. Find the common denominator of (-3)/a*(-115)/8 and 115/6.
24
Suppose 5*v = 12 + 8. Suppose 5*i = 5*f - 17 - 18, -2*i = -v*f + 24. What is the least common multiple of f and 10?
10
Let f be (2 + 7)*1411/(-3). Let s = -1306 + f. Let w = s - -66415/12. Calculate the common denominator of 39/2 and w.
12
What is the common denominator of (5/(-6))/((-11)/51) and 35/8?
88
Suppose -56 - 40 = -8*n. What is the smallest common multiple of n and 1*(-3 + 2)*-2?
12
Suppose 0 = -4*x + 13 + 3. Let k(o) = -9*o**2 + 12*o + 9 - 5*o**2 + 3*o**2 + 0*o**3 - o**3. Calculate the least common multiple of k(-12) and x.
36
Suppose 8*z - 3*r - 70 = 3*z, -5*z + 30 = 5*r. Calculate the lowest common multiple of (-4)/((-1)/(-4)*-2) and z.
88
Let r = -507487/18 - -28202. Find the common denominator of -25/18 and r.
18
Let z(u) = 4*u + 2. Let d = -28 - -36. Calculate the least common multiple of z(2) and d.
40
Let l = -4 - -9. Suppose 2*y = -l*n, -2*n - 4*y = -5*n + 26. What is the least common multiple of 4 and (-23)/(-1) + n + -3?
44
Suppose 4*i - 5*i + 3*p = 2570, 0 = -i - 2*p - 2590. Let h = -46451/18 - i. What is the common denominator of 97/14 and h?
126
Let x be (0*1/(-2))/1. Let t(g) = -g**3 - g**2 + g + 10. Let q be t(x). Find the common denominator of -1 - 29/q*-2 and 4/11.
55
Let m = -10 - -22. What is the least common multiple of m and 14?
84
Let c(h) = h**2 - 9*h - 29. Calculate the least common multiple of 56 and c(12).
56
What is the least common multiple of ((-1)/1)/((-3)/48) and 44?
176
Let v be 184/33*(49 - -2). Let k = v + -285. What is the common denominator of k and 345/36 + 2/8?
66
Let s = 137/30 + -11/30. Find the common denominator of -5/3 and s.
15
Let w = 47 - 21. Let p = 46 - w. What is the smallest common multiple of p and 2?
20
What is the common denominator of 103/22 and (11/4)/((252/(-32))/(-9))?
154
Let b be (6637/(-3320))/(-1) - 2. Let o = -167639/23240 + b. Calculate the common denominator of -59/2 and o.
14
What is the common denominator of -2 - 5*50/(-24) and 41/8?
24
Let d be (8/5)/(5/(-25)). What is the least common multiple of 4 and (-2)/d - 12/(-16)?
4
Find the common denominator of -58/9 and (-12)/(-3) - (7 - 1).
9
Suppose -4*h + 2*h + 76 = 3*o, -3*o - h + 77 = 0. Suppose 3*c + 31 = -o. What is the common denominator of c and (-19)/8 + -1 - -1?
8
Let k = -4649 + 74411/16. Calculate the common denominator of k and -33/98.
784
Let f = 50/257 - -20945/4626. Let o be (65/(-138))/(6/(-135)). Let h = o + 7/46. Find the common denominator of h and f.
36
Let j be (-3)/2*(-2 + 14). Let t be (12/j)/((-2)/(-6)). Let p = 13 + t. What is the smallest common multiple of p and 8?
88
Let v = 770/3 - 262. What is the common denominator of -61/3 and v?
3
Let w = -2 + 2. Suppose 0*g - 4*g + 8 = w. Suppose b - 16 = -g. Calculate the least common multiple of 6 and b.
42
Let j be 4408/(-6630) + 2/3. Let o be (-33)/10*16278/(-7956). Let z = j - o. Find the common denominator of 89/6 and z.
12
Let v(b) = -2*b - 1. Let n(i) = -2*i. Let c(j) = -5*n(j) + 4*v(j). Let g = -1 - -4. What is the least common multiple of c(g) and 6?
6
Let w = -84/535 - -26524/32635. Let u = -8483/366 - w. Let t = 100/3 + u. Calculate the common denominator of t and 22/5.
10
Suppose -5*w = 4*b - 78267, 2*b - 5*b = 3*w - 58704. Let g be 2 + -3 + b/(-7888). Let i = g + -40/493. What is the common denominator of i and -69/10