
99
Let f(b) = -b**3 + 9*b**2 + b + 13. Calculate the lowest common multiple of f(9) and 18.
198
Let m = -21653/70 + 2110/7. What is the common denominator of m and 16/(-40)*(78/9 + 0)?
30
Suppose -4*a - 3*b + 14 = -4*b, -3*a + 2*b = -13. Find the common denominator of (-6)/a + (-113)/(-8) and -87/4.
8
Let s be (-26 + 2)*-1 + 0. Let q = s - 12. What is the lowest common multiple of q and 10?
60
Let k = 36 + -21. Let z = k - 9. Calculate the lowest common multiple of z and 2/4*(-1 + 3).
6
Let h be 8/(-20) + (-1064)/(-10). What is the common denominator of ((-206)/(-25))/(4/(-5)) and h/33 + 6/(-9)?
110
Let v = -7 - -40. Let d = v + -11. Calculate the least common multiple of 20/(-50) - (-32)/5 and d.
66
What is the common denominator of 10/20*120/14 and 91/15?
105
Let z = 8 - -3. Suppose 16 = 3*i - 5*y, -3*i - y = 2*y. Suppose 29 = 5*q - r, -q - r - 1 = -i. Calculate the least common multiple of q and z.
55
Let n = -15 - -10. Let b(o) = -o**3 - 4*o**2 + 6*o + 7. Let t be b(n). Suppose 16 = 2*f + t*f. Calculate the least common multiple of f and 11.
44
Suppose 2*h - 4 = w, h + 4*h - 17 = -w. Suppose -d + 31 = -4*g, -2*d - w*g = -d - 7. Let m = d - 8. What is the lowest common multiple of m and 6?
42
Let p = -34/283501 + -15901853843/6237022. Let a = -2549 - p. Let g = -395 - -3923/10. Calculate the common denominator of g and a.
110
Let l(o) = -o**2 + 20*o - 10. Calculate the least common multiple of 20 and l(18).
260
Suppose 2*i = 3*w - 26, w + 2 + 4 = -3*i. What is the lowest common multiple of 3 and w?
6
What is the common denominator of (3*(-38)/(-6))/(2 - 24) and 89/86?
946
Let d(u) be the second derivative of -u**3/3 - 5*u**2 + u. Let n(t) = t + 5. Let q(k) = -2*d(k) - 5*n(k). Calculate the smallest common multiple of q(-7) and 4.
4
Let g = 97 - 95. What is the smallest common multiple of g and 8?
8
Let l(o) = -o + 9. Let w(p) = -p + 8. Let a(u) = -6*l(u) + 5*w(u). What is the lowest common multiple of a(15) and 11?
11
Let n be ((-21)/(-17970))/((-18)/145045). Let k = n + 1/10782. Let t = -411/56 + 82/7. What is the common denominator of k and t?
24
Suppose -3*u + 12 = -3*z, 3*z - 13 = 5*z - 3*u. Suppose f - 3 = -z. Suppose 3*b + 6 + 0 = 0, -g + 16 = -3*b. What is the smallest common multiple of f and g?
10
Let h = -46/429 + -10/39. Suppose -35 = -4*k + 9. Find the common denominator of k and h.
11
Suppose -2*a + 38 - 6 = 0. Let k = -22 - -38. Calculate the smallest common multiple of a and k.
16
Let j = -8 - -11. Let p(s) = -9*s + s**j + 8*s**2 - 2 + 2 + 6. Calculate the smallest common multiple of p(-9) and 4.
12
Let v be (-10*1)/2*-1. Suppose 5 = -5*y + 4*w, -v*y - w - 3*w = -35. Calculate the common denominator of (y/6)/(18/(-4)) and -59/8.
72
Let f be (18/3)/(4/46). Find the common denominator of (-1*10)/(36/f) and -63/4.
12
Suppose -2*c + 3*v + 32 = -c, 0 = c + 5*v. Calculate the least common multiple of c and (1 + 1)/(2/10).
20
Let u(d) = -d**3 + 10*d**2 - 9*d - 1. Let q be u(9). Find the common denominator of 33/10 and (27/(-21) - q)*6.
70
Suppose 2*u + 54 = 4*t, t + 0*t = -5*u - 3. What is the lowest common multiple of 16 and t?
48
Let j be (10/4)/(3/6). Let p(c) = c**2 - 4*c - 3. Let i be p(j). Suppose 3 = i*m + m. What is the lowest common multiple of 4 and m?
4
What is the smallest common multiple of (-40)/6*12/(-5) and 26?
208
Let m(g) = -g**2 + 7*g - 9. Let y be m(6). Calculate the common denominator of y/((-66)/58) - -2 and 40/11.
11
Let c = 41382681/18667 + 837/3394. Let x = 2218 - c. Calculate the common denominator of x and -145/12.
132
Calculate the smallest common multiple of 20 and -2 - 6*(-12)/9.
60
Suppose 5*f + 3*i - i - 74 = 0, 2*f - 2*i = 24. Calculate the lowest common multiple of 18 and f.
126
Let o be 2/((-4)/210*-3). Let w = o - 21. Let a = -15 - -21. Calculate the least common multiple of a and w.
42
Suppose x = 4*x + 507. Let k = 26/255 + -2111/1530. Find the common denominator of k and x*(-3)/(-54) + 2.
18
Let s be (-92)/5 - (-4)/10. Let r = 6 + -3. What is the lowest common multiple of (s/(-5))/(r/10) and 6?
12
Let t = -36 + 38. Calculate the least common multiple of t and 16.
16
Let j = 689/4 - 159. What is the common denominator of j and -28/9?
36
Let r = 91 + -73. What is the lowest common multiple of 8 and r?
72
Calculate the common denominator of 4/(100/15)*(-390)/(-28) and 11/12.
84
Let m = -145 - -155. Suppose 2*t - 4 = 3*y, 3*y - 8*y = 2*t + 12. Let v = t - -5. Calculate the lowest common multiple of v and m.
20
What is the common denominator of 3 - -1*12/(-20) and 23?
5
Let b = -18 + 19. Find the common denominator of 1/(-5) + b/(-4) and -143/18.
180
Let k = 5 - 1. Suppose -6*c + c = -t - 74, 3*c + k*t - 49 = 0. Calculate the common denominator of -34/11 and (-1678)/210 + 2/c.
77
Calculate the lowest common multiple of (-1 - -1) + 4 - 1 and (-1 - (-30)/8)*(3 + 1).
33
Let s(i) = -i**2 + 7*i. Let w = 2877/676 - 1/169. What is the common denominator of w and s(8)?
4
Let w = 54775/2568 + 3/856. Calculate the common denominator of -7/8 and w.
24
Let v(f) = -f - 2. Let x be v(-10). Let o be (-2)/x + 477/(-12). What is the common denominator of 82*6/o*1 and 4/7?
70
Let u(w) = -w**3 + 7*w**2 - 6*w + 4. Let f be u(6). Suppose 2*p + f - 6 = 0. Suppose -r + 13 = p. Calculate the least common multiple of r and 12.
12
Let z = 173/4 - 277/6. Find the common denominator of z and 41/40.
120
Suppose 5*z - 29 = 2*n, 6*z - 3*z - 24 = -n. What is the lowest common multiple of 10 and 1/(-2 + 3)*z?
70
Let s be (-2)/(-4)*(-2 - -8). Suppose 20 = -s*f - 1. Let q(t) = -t**2 - 8*t + 3. Calculate the least common multiple of q(f) and 14.
70
Let k = 5 + -3. Suppose -5*q = k*s - 59 + 5, 4*q - 48 = -4*s. Calculate the least common multiple of 16 and q.
80
Suppose -3*u - 39 = -5*u + 5*f, -4*u = -2*f - 54. What is the smallest common multiple of 3 and u?
12
Let c = -109/90 - -51/10. Find the common denominator of c and 41/5.
45
Suppose 3*b = -n - 39, -4*b = 4*n - 5*n + 45. Calculate the common denominator of 41/8 and ((-24)/(-80))/(b/235).
8
Let q(k) = 3*k**3 + k**2 + 3*k - 1. Let p be q(2). Suppose -3*m + 33 = -p. Calculate the lowest common multiple of 10 and m.
110
Find the common denominator of 1 + (-6)/2 - 895/(-640) and 109/22.
1408
Let z = -23 - -79. Suppose 0 = 6*v - 2*v - z. What is the lowest common multiple of v and 12?
84
Suppose 2*q = -3*n + 40, -3*n - q = -7*n + 46. What is the least common multiple of n and 8?
24
Suppose 8 = 4*o - 32. What is the lowest common multiple of o and 22?
110
Suppose -9*p = -5*p - 12. Calculate the smallest common multiple of 6 and p.
6
Let d = 6 + -5. What is the smallest common multiple of 2 and (d/2)/((-5)/(-10))?
2
Suppose -f + 13 = 4*x - 6*f, 4*x + 3*f - 37 = 0. Calculate the smallest common multiple of 7 and x.
7
Let i(k) be the first derivative of -9*k**2 - 6. Calculate the smallest common multiple of i(-1) and 10.
90
Suppose -b - 2*b + 27 = 0. Let z(h) = -h**2 + 9*h + 8. Calculate the lowest common multiple of z(7) and (16/12)/(2/b).
66
Let o = -698 + 1425/2. Find the common denominator of -36/7 and o.
14
Let q(y) = 56*y - 10. Let j be q(7). Let o = j + -1129. Find the common denominator of (4/84)/((-6)/o) and -63/10.
70
Suppose 3900 + 62960 = 5*x. Let t = x + -294277/22. Find the common denominator of 143/18 and t.
198
Let f = -4 + 7. Let o = f + -4. What is the smallest common multiple of (-33)/(-4) + o/4 and 4?
8
Let u(h) = -h**3 - 153. Let d be u(0). Find the common denominator of -2 - -35*1/(-3) and d/(-5)*(-7)/(-21).
15
Let v(c) = -4*c - 4. Let l be v(-4). Suppose -2*o + 10 = 4*y - o, 0 = -4*y - 2*o + l. What is the common denominator of (2 - y) + 110/4 and 39/22?
22
Let a = 983/453 + -1/302. What is the common denominator of a and -91/2?
6
Let v = 2279/2 + -1112. Find the common denominator of 81/4 and v.
4
Find the common denominator of 1/5*435/18 and (-1)/3 - (-274)/(-132).
66
Let m be (-27)/2*10/15. What is the common denominator of -4 + m/28*2 and 23/54?
378
Let x(o) = -2*o + 18. Let v be x(11). Calculate the least common multiple of 4/10*(1 - v) and 38.
38
Let y(c) = c**2 - 5*c + 8. Let r be y(7). Calculate the common denominator of ((-11)/r)/(1/72) and (-2)/(10/(-61))*-1.
5
Let f be 1/(-1*1/4). Calculate the smallest common multiple of (-2)/f*18 + -3 and (-2)/(-6)