. Let s(d) = 9*d**2 + d + 4. Let q(y) = -5*s(y) + 8*w(y). Calculate the least common multiple of q(k) and 6.
66
Let b(w) = w**2 - 2*w + 1. What is the least common multiple of 5 and b(-2)?
45
Let t(i) = -5*i**3 + 2*i**2 - 1. Let o be t(1). Let u = o + 5. Let c = 3 + 3. Calculate the smallest common multiple of c and u.
6
Let r be -1*2*6410/4. Let h = 70485/22 + r. Calculate the common denominator of h and (89/2)/(21/(-3)).
154
Calculate the common denominator of (2 + -1)*(-20)/36 and -25/9.
9
Let p(b) = 2*b + 2. Suppose 2*g = -4*g + 36. Calculate the lowest common multiple of 24 and p(g).
168
Calculate the smallest common multiple of (-150)/(-39) - 12/(-78) and 4.
4
Let q(r) = -r**3 - r**2 + r + 14. Let p be q(0). Suppose 3*i - 47 + p = 0. Calculate the smallest common multiple of i and 8.
88
Let b(z) = 35*z**3 - 1 - 1 + 3 - z - z**2. Let u be b(1). Suppose 0*a + 32 = 3*a + o, -5*o = a - u. What is the least common multiple of 6 and a?
18
What is the common denominator of -9 + 4 - 627/(-138) and -45/7?
322
Let p(y) = y**2 + 2*y + 2. What is the smallest common multiple of (-4)/14 - (-44)/7 and p(-3)?
30
Let l = -2881/11 + 264. What is the common denominator of -8 and l?
11
Let r(x) = x**3 + 6*x**2 + 4*x + 5. Let p be r(-5). Let v be 4/p - (-414)/15. Suppose 0 = -5*u + v + 27. Calculate the smallest common multiple of u and 3.
33
Suppose 0 = -2*z - 2*z + 20. Let f = 18 - 11. What is the least common multiple of f and z?
35
Let b be (-2)/8 - (-256011)/15. Let v = 31384 + -14313. Let k = v - b. What is the common denominator of 85/6 and k?
60
Let z = 15203 - 75226/5. Let o be (-18301)/(-120) - (-2)/(-6). Let f = o - z. What is the common denominator of -57/16 and f?
16
Calculate the common denominator of (2/(-30))/(6/819) and -26/5.
10
Suppose k + 14 = 5*t - 68, 4*t = 5*k + 74. What is the lowest common multiple of t and 5?
80
Let y(b) = 2*b + 4. What is the least common multiple of 10 and y(2)?
40
Let m(a) = -a**2 - 6*a + 3. Let z = 8 + 14. Calculate the lowest common multiple of z and m(-5).
88
Suppose -5*l = -5*z - 55, -31 = -l - l - z. Calculate the least common multiple of l and (-14 + 3)/((-2)/4).
154
What is the common denominator of -2/11 and 1 + (-1 - (-8)/12)?
33
What is the lowest common multiple of 9 and (-1 - 5)*5/2*-1?
45
Let c = 469/6 + -78. What is the common denominator of c and 13/16?
48
Let k = -48 - -142/3. Calculate the common denominator of k and 121/10 + -1 + 42/28.
15
Calculate the common denominator of 71/14 and 2*(174/(-32) + 1).
56
Let j = 46 - 26. What is the least common multiple of j and 10?
20
Let f(d) = d**2 + d - 1. Let z(q) = -5*q**2 - 5*q + 8. Let x(n) = -4*f(n) - z(n). Suppose i + i - 16 = 0. Calculate the least common multiple of x(-5) and i.
16
Suppose 2*h - 31 = 3*c - 0*c, 4*h - 57 = 5*c. Calculate the smallest common multiple of 9 and h.
72
Suppose 0 = 6*c - 5*c - 10. Calculate the lowest common multiple of c and 7.
70
Suppose 6*h - h + 4*c - 4 = 0, 0 = -h - 5*c - 16. What is the lowest common multiple of h and 12?
12
Suppose 1 + 1 = -t - 4*g, -3*t - 2*g = -4. Let a(w) = -w**3 - 8*w**2 - 6*w + 8. Calculate the lowest common multiple of a(-7) and t.
2
What is the least common multiple of (0 - 3) + 3 + 12 and 18?
36
Let q(k) = -6*k**3 + k - 2*k**2 - 10 + 12 - 11*k**3. Calculate the lowest common multiple of q(-1) and 6.
48
What is the common denominator of 29/(-18) + -1 + -13 + 11 and 21/22?
198
Let q = -15 + 18. Suppose -2*v + 4*g + 32 = 0, 0 = 5*v - 0*g + q*g - 80. What is the smallest common multiple of 20 and v?
80
Let k(z) = -z**2 - 7*z + 2. Calculate the least common multiple of k(-5) and 33.
132
Find the common denominator of 2/(-5) - (-473)/(-330) and 89/14.
42
Let x be ((-12)/(-5))/((-22)/2530). Find the common denominator of -44/5 and (-1)/(-4)*x/(-45).
15
Let o = -5009/228 - 15/76. Find the common denominator of o and (-8)/(-20) - 1413/420.
84
Find the common denominator of 29/6 and ((-3)/(-54))/((-4)/642).
12
Let k(v) = -v**2 + v + 2. Calculate the smallest common multiple of k(0) and 20.
20
Let r = -1 - -2. Find the common denominator of 418/40 + 1/4 and 75/35 - (1 - r).
70
Suppose 0 = -3*d - 26 + 77. What is the least common multiple of d and 7?
119
Find the common denominator of ((-9)/6 - -1) + (-392)/21 and (-9)/2*23/24.
48
Suppose -71 = -j + 5*s, j - 106 = -j + s. Suppose -j = t - 0*c + 2*c, -2*t + 5*c - 75 = 0. Let a = 2949 + -17753/6. Calculate the common denominator of a and t.
6
Let w = 142615373/16 - 8909491. Let n = 3974 - w. Find the common denominator of 87/2 and n.
16
Suppose -3*j = 5*x - 344, 0 = -4*x + 4*j - 3*j + 265. Suppose 0*t + x = 2*s + t, -3*s + 90 = 5*t. What is the common denominator of s and -22/9?
9
Let p be (-2)/4 - 17/(-2). Let x = p - 3. Suppose 0 = -x*c + 43 + 67. Calculate the least common multiple of c and 14.
154
Let f(r) = -2*r - 9. What is the smallest common multiple of f(-7) and 5?
5
Let g(p) be the second derivative of -p**4/12 + p**3 + 2*p**2 + 3*p. Calculate the lowest common multiple of g(5) and 10.
90
Find the common denominator of 83/6 and (-987)/(-28)*1/(-6).
24
Let g be 0 + 1 + -5 + 6. Suppose 24 = u + g*u. What is the least common multiple of 10 and u?
40
Let b(s) = s**2 + 8*s + 2. Let l be b(-8). Let u = l + -1. Find the common denominator of -3*u + (-78)/(-84) and -83/22.
154
Let u = -7 - -29. Suppose x - 4*r + 6 = 2, 20 = 5*r. What is the smallest common multiple of u and x?
132
Let f be (15 - 0)*(-2)/(-6). Suppose -f*v + l - 4*l - 2 = 0, 3*l = 2*v - 16. Calculate the least common multiple of 10 and v.
10
Let k = -37/7 - -435/28. What is the common denominator of 3/(-7) - 867/(-63) and k?
12
Let x = -1 - 4. Let u(w) = -3*w - 3. Calculate the smallest common multiple of u(x) and 18.
36
Suppose -4*r + 9 = -5*k + 115, 3*r + 30 = k. Let a(w) = 6*w + 2. What is the least common multiple of k and a(2)?
126
Suppose u = 58 - 15. Calculate the common denominator of (-1)/(-8)*(4 - u) and -65/9.
72
Let p = 146257/12108 - -4/1009. Let w = -2309/2 + 3442/3. Calculate the common denominator of p and w.
12
Let m be (-4 - 2/2)*3. Let j = -19 - -16. Let l = j - m. Calculate the lowest common multiple of l and 18.
36
Let k(q) = 4*q + 4*q + 0*q**2 - 2*q**2 + 3*q**2 + 7. Calculate the least common multiple of k(-8) and 2.
14
What is the common denominator of 32/5 and (-3)/18*55 + 0?
30
Suppose -3*i = -0*i + 132. Let x be i/(-7) - (-2)/(-7). Let w(c) = c**3 - 4*c**2 - 10*c + 8. Calculate the lowest common multiple of w(x) and 2.
20
Suppose -3*u + 0*u + 48 = 0. Let o = u + -10. Suppose -h + 13 + 3 = -3*n, 0 = 4*h - 4*n - 48. What is the least common multiple of o and h?
30
Let u(g) = g**2 - 15*g - 1. Let f be u(15). What is the lowest common multiple of 26 and (-11 - (-4 - -1))*f?
104
Let w(o) = -3*o**2 + 6*o + 1. Let c(f) = -4*f**2 + 7*f + 2. Let i(x) = -2*c(x) + 3*w(x). What is the least common multiple of i(3) and 4?
4
Let p(v) = 15*v + 2. Find the common denominator of 1*10*(-4)/16 and p(3).
2
Let n(t) = t**2 + 10*t + 11. Let i be n(-9). Suppose 115 = 5*j + 3*m, -j - i*j - 3*m + 75 = 0. Calculate the smallest common multiple of 6 and j.
60
Suppose 4*p + 9 = -3*o + 23, -2*o = p - 6. Suppose 4*a - 68 = -3*t, a - o*a + 3*t = -2. What is the smallest common multiple of 16 and a?
112
Let p(q) = -q**2 - 7*q + 8. Let s be p(-9). Calculate the lowest common multiple of s/(1/1)*-1 and 8.
40
Let z = 12 + -8. Suppose -29 = -4*q - 5*h, 12 = 5*q + 5*h - 23. Calculate the least common multiple of q and z.
12
Suppose 5*o - i = -3*i + 37, -3*o - 5*i = -26. Let w be 64/6 - (-2)/6. Suppose -w = -m - 0. What is the smallest common multiple of m and o?
77
Let x = 2/32619 - -351555/86984. Let f = 254/5 - 199/4. Find the common denominator of x and f.
120
Let o be 3*4/(-6) - 973. Let x(v) = -11*v + 175. Calculate the common denominator of x(13) and 2/7 + o/(-189).
9
Let g be 1 + 4 + (0 - -1). Suppose -3*q - 42 = 3*b + 12, -10 = 5*q. Let c = g - b. What is the smallest common multiple of 18 and c?
198
Let h be (1 + -2)*(3 + -1). Calculate the common denominator of 3/(-10)*(-135)/12 and h/8 + 254/(-72).
72
Let w(l) = 11*l - 1. Suppose 4*h - 10 = -3*a, 0*h = 4*h - 2*a. Calculate the least common multiple of w(h) and 12.
60
Let k = 19 + -27. What is the least common multiple of ((-24)/(