125/1475).
20
Let k(a) = a**3 + 7*a**2 - 16*a + 22. Let r be k(-9). Suppose -5*j + 45 = 5*d, -r*j + d + 3*d + 12 = 0. Calculate the smallest common multiple of j and 10.
30
Suppose 2*u - 3 = -4*v + 29, 0 = 2*v - 4. Calculate the lowest common multiple of u and 8.
24
Suppose 0*l = 3*l + 3, -5*f = 5*l - 25. Suppose -183 = -f*m - 39. What is the least common multiple of 8 and m?
24
Let y = -4312 + -119. Let f = 61979/14 + y. What is the common denominator of -93/8 and f?
56
Suppose 2*n + 72 = 11*n. Suppose -x = 3*f + 10, -5*x + 5*f + 3 = 13. Let p = n + x. Calculate the smallest common multiple of p and 2.
4
Find the common denominator of 25/2 and (-2*(-4)/(-40))/((-112)/(-721)).
80
Suppose -l = 2*l - 96. Suppose 0 = -4*g - 111 - 17. What is the least common multiple of l and -3*1/(6/g)?
32
Find the common denominator of 43/469 and (-19)/(-5 - (-30)/9).
2345
Suppose 11*i + 21*i - 864 = 0. Calculate the least common multiple of 4 and i.
108
Calculate the common denominator of 101/276 and ((-4)/16)/(3717/(-414) + 9).
276
Suppose r = 3*l - 3*r + 14119312, 3*l = 3*r - 14119308. Let q = l - -56520317/12. Let b = q + -3600. What is the common denominator of b and 25/8?
24
Let s(r) = r**2 + 13*r + 1. Let m be 0/(-4) + 3 + -1. Suppose 4*t + 46 = -m*n, 7*n - 2*n - 2 = -t. Calculate the smallest common multiple of s(t) and 8.
8
Suppose 9 = -v + 3*s, 2*s - 6 = -6*v + 2*v. Suppose -5*o - 3*o + 216 = v. Calculate the least common multiple of o and 24.
216
Let s(o) = 4*o**2 - 3*o - 6. Let n = 379 - 267. What is the smallest common multiple of s(-2) and n?
112
Find the common denominator of (3 + -4)*(-4 + 245/(-30)) and -59/12.
12
Suppose f - 5*l - 91 = -3*f, 4*l - 20 = 0. Let h = -1 - -2. Suppose -5*i - h = f. Calculate the common denominator of i and -28/3.
3
Suppose -48 = -3*k + 27. Suppose -k = -5*p - 0*p. Let h(l) = -l**2 - 7*l + 1. Calculate the smallest common multiple of h(-6) and p.
35
Suppose -46 + 31 = -5*d. Calculate the smallest common multiple of 15 and d.
15
Let k = -57 + 61. What is the smallest common multiple of (-2 + (2 - 2))*-6 and k?
12
Suppose -m = 2*v - 4*m - 25, -2*v + 28 = -4*m. Calculate the smallest common multiple of v and 8.
8
Let k = -1529/203 + -8/203. Let w = -7233/568 - -132/71. Calculate the common denominator of w and k.
56
Suppose 0 = -4*t + 2 + 62. Suppose -14*n - 8 = -t*n. Suppose -3*y = -2*y - 9. What is the smallest common multiple of n and y?
36
Suppose t + 3*l - 27817 = 3*t, 5*t + 69480 = -5*l. Let q = 269040959/12 + -22406190. Let y = t + q. Calculate the common denominator of y and 89/14.
84
Let b(z) = 5*z + 83. Calculate the least common multiple of b(-13) and 10.
90
Let c = 120 + -15. Let q = 115 - c. What is the least common multiple of q and 15?
30
Let b(q) = q**3 + 8*q**2 + 6*q - 3. Let z be b(-7). Suppose -4*g + 16 = z. Calculate the lowest common multiple of 15 and g.
15
Let y(n) = 5*n + 10. Let s be 0*3/(-6)*(-2)/6. Suppose -3*t - 3*b = -3, -3*b - b - 12 = 0. Calculate the smallest common multiple of t and y(s).
20
What is the lowest common multiple of 40 and (-612)/(-22) + -4 + 22/121?
120
Let i(g) = -8*g - 8. Let t be i(-7). Let x be 4/(-22) - 480/(-220). Suppose -6*j + t = -x*j. What is the least common multiple of j and 22?
132
Let o(u) = 26 - 4*u + 19*u + 0*u + 2*u**2 - 22. Calculate the least common multiple of 16 and o(-10).
432
Suppose -2*m - 3*m + 90 = 0. Suppose 0*s + 72 = 3*s. What is the common denominator of 94/(-72) + m/s and 33/10?
90
Suppose -i + 56 = 6*i. Let h(a) = a**3 + 3*a**2 - 6*a - 5. Calculate the least common multiple of i and h(-4).
24
Let n = 9318 - 130397/14. What is the common denominator of n and 0 + 0 + 10/4?
14
Let n = 181399/20 + -9076. What is the common denominator of n and ((-37)/(-5))/(54/(-45))?
60
Let f = -31 - -30. Calculate the common denominator of ((-12)/18)/((-10)/(-66) + f) and -39/2.
14
Let z = -10 - -19. Suppose 5*m = -5*o + 10, -4*o = -m - z - 9. Calculate the least common multiple of 4 and (o - 1)/(3/4).
4
Let q = 49 - -41. Calculate the smallest common multiple of q and 18.
90
Suppose -25*l = -33*l + 304. Calculate the lowest common multiple of 95 and l.
190
Let c = 2162199 + -19434851/9. Let o(l) = -2772*l**2 + 6*l - 1. Let d be o(1). Let y = c + d. Calculate the common denominator of y and -29/8.
72
Suppose -44*o = -42*o - 6. Suppose 5*a - 25 - 4 = 4*j, -a = -2*j - 19. Let k = 0 - j. Calculate the lowest common multiple of o and k.
33
Suppose -912 = -14*v + 6*v. What is the smallest common multiple of 33 and v?
1254
Let f = -45283/27 + 1675. What is the common denominator of (178/24)/((-30)/(-15)) and f?
216
Let o(u) = 14*u + 261. Calculate the least common multiple of o(-14) and 60.
780
Let p(i) = 4*i**2 - 4*i - 14. Suppose 0 = -2*u + 1 + 5. Calculate the lowest common multiple of u and p(-4).
66
Let z(q) be the third derivative of q**6/120 - 7*q**5/60 + q**4/3 + q**3/2 + 7*q**2. What is the lowest common multiple of z(6) and 3?
15
Calculate the common denominator of (3/(-3))/(35*6/66) and 1/7.
35
Let y = 11770 - 188239/16. Calculate the common denominator of y and -119/6.
48
Let t = -3/7895 + -197189/489490. What is the common denominator of t and 11/8?
248
Let l = 2590 + -2582. Suppose 2*j = 5*j - 30. What is the least common multiple of l and j?
40
Let c = 58749/56 + -1048. Find the common denominator of c and 41/32.
224
What is the smallest common multiple of (-7)/2*18*(-24)/63 and 9?
72
Let o = 5787161/460 + -62908/5. Calculate the common denominator of o and -131/12.
276
Suppose -i = -11*i + 1020. Let l = -81 + i. What is the smallest common multiple of l and 18?
126
Suppose -16 = 5*y - 61. Calculate the smallest common multiple of 3 and y.
9
Let y = 30 - 20. What is the lowest common multiple of y and 59?
590
Let y(i) = -i**2 - 15*i - 23. Let d be y(-14). Let h = d + 17. Calculate the least common multiple of h and 7.
56
Suppose x - 2*x = y - 105, -5*y + 3*x = -541. Suppose -2*j + y = 11. Suppose 5*f = 10, s = -4*f + 8 + 2. What is the lowest common multiple of j and s?
48
Suppose c - 3*l - 6 = 0, 2*c = -c + 4*l + 18. Let s(k) = -2*k**2 + 15*k + 5. Let n be s(7). Find the common denominator of (-963)/n*c/(-27) and 3/106.
318
Calculate the common denominator of -59/35 and 407/(-308) + (-4)/(-1).
140
Let g = 11 - 1. Let a(f) = -f**3 - 23*f**2 + 4. Calculate the lowest common multiple of a(-23) and g.
20
Let y be 604/1032*(-2 + (-17)/2). Let m = -60/43 - y. Find the common denominator of m and 109/12*(2 - 0).
12
Let z(h) = -183*h - 9. Let q be z(-5). Let w = 2675/3 - q. Find the common denominator of w and -41/30.
30
Let s = -7533/7 + 4293/4. Find the common denominator of -49/30 and s.
420
Let l be 6 + -12 - (4 - 1). What is the least common multiple of (-5)/60*l*4 and 6?
6
Let g = 1209/5 + -13044/55. Let b = -4/13 + 71/104. Find the common denominator of g and b.
88
Suppose 13*b = 14*b - 4. Let r(x) = -x**3 + 12*x**2 - x + 13. Calculate the lowest common multiple of r(12) and b.
4
Let c be (-4)/(-18) + (-320971)/(-144). Let t be ((-20)/(-6))/(6/(-4014)). Let v = c + t. What is the common denominator of v and -51/8?
16
Let f = -318668419661/54072 - -53040706/9. Let g = 2/2253 - f. Calculate the common denominator of g and 7/4.
8
Suppose -2*t + 64 + 80 = 0. Calculate the lowest common multiple of t and 24.
72
Let t = 42 + -34. Let p(h) = h**2 + 2*h + 1. Calculate the lowest common multiple of t and p(-4).
72
Let h be ((-6)/4 + 2)*12. Calculate the common denominator of -53/18 and (42/200)/(h/(-90)).
180
Let d(v) = v**2 + 15*v + 8. Let j be d(-15). What is the common denominator of 63/16 and (2/(-12))/(j/135)?
16
Suppose 2*x - 4 + 28 = 0. What is the common denominator of (-270)/24 + x/8 and -91/94?
188
Let o = -1440 - -11589/8. Calculate the common denominator of o and -51/8.
8
Let x be (-4)/2 + 0/(-5). Let c be 4/2 - 20/x. Let s = c + -4. What is the lowest common multiple of 8 and s?
8
Let y = -4 - -272. Calculate the lowest common multiple of y and 20.
1340
Suppose -3*b + 2*m = -62, 0 = -9*m + 5*m - 16. Suppose 0*y + 2*y + 140 = 5*j, -5*y = -25. Calculate the smallest common multiple of b and j.
90
Let b(q) = 73*q**3 - q**2 + 7*q + 21. Let l be b(-5). Let y = -164909/18 - l. Find the common denominator of (2/16)/(1/(-77)) and y.
72
Suppose -2*j -