= -i**2 + 12*i + 3. Let d be a(9). Let z = d + -14. Let u(b) = 4*b - 4. What is the lowest common multiple of u(3) and z?
16
Let q be (5/(-2))/(74/(-12)). Let x = 2429/333 - q. Calculate the common denominator of 151/12 and x.
36
Suppose -4*u = -12, 5*v - u - 5 = 4*u. Suppose -2*x - 4*g = -9 - 9, x + 9 = v*g. What is the least common multiple of x and 14?
42
Let r = -1265/268 + -2/67. Suppose 2*a = a - 2. Calculate the common denominator of r and (-106)/10 + (-1)/a.
20
Suppose 2*h - h = 2. Let w = -3 + 5. Calculate the smallest common multiple of (5/w)/(7/14) and h.
10
Suppose 8*v - 2*v - 36 = 0. Let t(k) = 13*k**3 + 1. Calculate the lowest common multiple of v and t(1).
42
Let b = -59 - -91. Suppose -5*c - b = -3*o - 3*c, 3*o = -3*c + 42. Calculate the least common multiple of o and 6.
12
Suppose 2 = 2*o - o. Suppose g + 4*g = 5*z - 75, -51 = -2*z - 5*g. What is the smallest common multiple of z and ((-16)/(-10))/(o/5)?
36
Let r = -9 + 19. Suppose y = 6 + 10. Suppose 0 = -0*f + 2*f - y. Calculate the smallest common multiple of f and r.
40
Suppose -s - 2*s - 4*l = 29, 3*l = 5*s. Calculate the common denominator of ((-135)/(-80))/(s/(-28)) and -101/10.
20
Let j = 6489 + -155605/24. What is the common denominator of 7/12 and j?
24
Let h(g) = g**3 - 7*g**2 + 2*g - 2. Let l be h(4). Let q = -24 - l. Calculate the smallest common multiple of q and ((-27*2)/(-3))/1.
18
Let l(t) = t**3 + t**2 + 1. Let w(i) = 3*i**3 + 8*i**2 + 6*i + 11. Let p(u) = -4*l(u) + w(u). Calculate the least common multiple of p(5) and 16.
48
What is the common denominator of 77/(-18) + -13 + 10 and 39/14?
126
Let b = 1 + 0. Let g be (-25724)/(-1626)*(-1)/b. Let h = g - 7/542. Find the common denominator of 19/10 and h.
30
Let b(l) = -l**3 + 5*l**2 + 7*l + 3. Let o be b(6). Calculate the common denominator of (-178)/6*o/6 and -29/5.
10
Let d(a) = -a**3 + 31*a**2 + a - 22. Calculate the smallest common multiple of 6 and d(31).
18
Let l = -4196633/76 + 761784301/14364. Let y = l - -7055/27. Let q = y + 1928. What is the common denominator of 5/8 and q?
56
Let b = -6084 - -121741/20. Let d = -23731/8 - -2962. What is the common denominator of d and b?
40
Suppose 0 = -10*u - 25 + 75. Calculate the least common multiple of u and 23.
115
Let a be (-1625)/142*1/4. Let z = a - -70/71. What is the common denominator of (-140)/168 - 1/15*82 and z?
40
Let j be (-1 + (-8)/(-12))*-15. Suppose 0 = -j*h + 47 - 7. Calculate the lowest common multiple of h and 6.
24
Suppose 5 = -5*k - 5, 8 = 3*d + 5*k. Suppose -d*j + 1 = -5*j. Find the common denominator of (-125)/(1 + (-6 - j)) and 22/3.
6
Let n(m) = -m**2 - 10*m + 7. Calculate the lowest common multiple of n(-10) and 2.
14
Suppose 0*n + n - 3 = 0, -n + 15 = 3*v. What is the lowest common multiple of v and 3/(3/14) - -2?
16
Let q(j) = 8*j**2 - 3*j. Let k be q(2). Let l = k - 2. Suppose 0 = 2*a - 5*h - l, -4*a - 3*h - 14 = -5*a. What is the lowest common multiple of a and 14?
14
Let h = 3 - 0. Calculate the common denominator of 2/7 and 1 + h + (-35)/11.
77
Suppose -3*s = 2*s - 10. Let p be (s - -1) + (-3 - 0). What is the common denominator of 18/28*(-2 + p) and -11/9?
63
Let x = 1581 + -14186/9. Calculate the common denominator of x and 49/54.
54
Let c(p) = p**2 + 6*p - 5. Let d be c(-7). Suppose 4*w + 16 = 0, 3*b - 4*b + d*w = -18. Let r = -16 - -25. What is the least common multiple of b and r?
90
Let q(r) = -r**3 + 2. What is the least common multiple of q(0) and 14?
14
Let f = 13/2 - 11/3. Suppose 0 = -3*b - 2*p + 1234, -3*b - p + 366 = -869. Let j = b - 4538/11. What is the common denominator of j and f?
66
Suppose -4*k - 4*q = k - 9, k - 5*q = -4. Calculate the common denominator of k/(-6)*(-1752)/(-32) and 19/18.
72
Let f = 32/51 - 2774/357. Find the common denominator of (-2)/(-4) - 62/(-4) and f.
7
What is the common denominator of 1/5 + 42/(-24) and 57/5?
20
Calculate the common denominator of (-1)/4*328/22 and 29.
11
Suppose q + 24 = 4*q. Let f be (8/(-10))/((-2)/(-35)). What is the lowest common multiple of q and (f/2 - 0)/(-1)?
56
Suppose -j - 1 = -4. Suppose 4*q - 10 = -5*b, -j*q - q - 8 = -4*b. Calculate the lowest common multiple of 4 and b.
4
Let x be 1/(-3) + (-3725)/(-168). Let d = x - 103/7. Find the common denominator of d and 99/8.
8
Let g(l) = -l**3 + 4*l**2 + l + 1. Suppose n + 16 = 3*i + 6*n, -i + 4 = n. Calculate the lowest common multiple of i and g(2).
22
Find the common denominator of 2/(-11) - 1638/(-616) and -91/36.
396
Let h = -60559864651/122220 - 176442990/679. Let g = 755352 + h. Let d = -89/45 + g. What is the common denominator of 19/10 and d?
60
Let j(p) = -p + 6. Let n = 12 + -7. Let l = n - 1. Calculate the lowest common multiple of 8 and j(l).
8
Suppose 2*o - 4*x + 8 = 0, x = -0 + 2. Let q = 0 - -1. Find the common denominator of q + o - 524/24 and -13/4.
12
What is the smallest common multiple of 8 and (-3 + 1)/(1 + 27/(-21))?
56
Let u(i) = 2*i - 9. Let d be u(7). Suppose 3*n - 16 = -n. Suppose 4*o - 8 = n*q, -2*q - 12 = -d*o + 10. What is the lowest common multiple of o and 12?
12
Suppose 2*i - 20 = 8. What is the lowest common multiple of 14 and i?
14
Let v = -17 + 23. Let f(u) = u + 3. Calculate the least common multiple of f(7) and v.
30
Let x = -1/847 + -26253/3388. What is the common denominator of x and (-2)/(-4)*(-91)/2?
4
Suppose -2*g + 16 = 2. What is the lowest common multiple of g and 1?
7
Let r = 20968/49 + -428. Let c = -355/147 - r. Calculate the common denominator of c and -97/12.
12
Suppose -6 = 3*t - r, 0*r = 2*r. Let z = -5479/9 + 614. What is the common denominator of z and (-3)/(-42) + (-1)/t?
63
Suppose 3*g + 0*w - 16 = 4*w, 50 = 5*g - 2*w. What is the least common multiple of g and 4?
12
Let t(c) = -c**3 + 3*c**2 + 2*c - 1. Let z be t(3). Suppose z*m - 7 = 3. Calculate the smallest common multiple of m and 20/(-2)*(-20)/25.
8
Suppose -27 - 18 = 5*o. Find the common denominator of -81/8 and 1/(-2) + o/(-1).
8
Let r = -123429/14 + 8824. Let c = 2291/10 + -229. Calculate the common denominator of c and r.
70
What is the common denominator of -3/22 and 1 - (2175/(-10))/5?
22
What is the common denominator of 1/14 and (-4)/2 - 404/(-32)?
56
Let z = -252433/212079 - 2/10099. Find the common denominator of z and -91/18.
126
What is the common denominator of 113/6 and (0 - 5/(-6))*268/(-20)?
6
Suppose 5*k - 30 = -3*f, 5 + 1 = k - f. What is the least common multiple of k and 38?
114
Let z = -18 + 10. Calculate the common denominator of -99/10 and (-805)/84 - 2/z.
30
Let o = 141 + -133. Calculate the smallest common multiple of 4 and o.
8
Let r = 68618 + -26486533/386. Let y = r + 15721/2702. What is the common denominator of 56/5 and y?
35
Let b = 3482/3 + -27631/24. Find the common denominator of b and 83/44.
88
Let q = 5789/4 - 1422. Find the common denominator of q and 62/3.
12
Let c(i) = -i**2 - i + 3. Let y be c(3). Calculate the least common multiple of (2 - y) + (2 - -1) and 22.
154
Let w = 9/188 + 4409/188. Let y = -49/44 - -246/11. Calculate the common denominator of y and w.
4
Calculate the common denominator of 2/(-5) + (-1 - (-102)/(-15)) and -61/3.
15
Suppose 3*j - 4*j + 33 = 0. Calculate the least common multiple of 15 and j.
165
What is the lowest common multiple of 4 and (-42)/4*(-4)/3?
28
Let i = 2 + -5. Calculate the smallest common multiple of 138/24 - 2/(-8) and (i + 5)/(1 + 0).
6
Let w be (-2)/(-33)*(-5253)/(-8). Let x = 292/11 - w. Find the common denominator of x and -13/12.
12
Let q(w) be the third derivative of -w**6/120 - w**5/12 + w**4/6 - 2*w**3/3 - 3*w**2. What is the lowest common multiple of q(-6) and 2?
8
What is the smallest common multiple of 1/((1/1)/9) and 8?
72
Suppose -5*s + 41 = -49. Suppose -a = -4 - s. Let y = -2 + 10. Calculate the least common multiple of y and a.
88
Let r = -2237/6 + 1046/3. Let l = -2/219 - -2429/2190. Find the common denominator of l and r.
30
Let n = -10 - -51/5. Let p(f) = 15*f**2 - f. Let k be p(-1). Find the common denominator of (-18)/k*608/24 and n.
10
Suppose -4*x = -4 - 76. What is the smallest common multiple of 10 and x?
20
Suppose 2*u - 9 = 15. Calculate the least common multiple of u and (2/3)/(2/30).
60
Let x = -1 - 10. Suppose -3*q = 4*q - 133. Let c = q + x. Calculate the smallest common multiple of c a