ominator of (3 - (-233)/18) + -8 and 19/20.
180
Calculate the common denominator of 91/64 and (-1051)/(-176) - ((-9)/11)/9.
64
Let i(z) = z**2 + 9*z - 36. Calculate the least common multiple of i(12) and 27.
216
Let l(z) = -z + 1. Let d be l(-1). Suppose 26 = -0*a + 2*a. Calculate the common denominator of 42/d*a/12 and 45/17.
68
What is the smallest common multiple of (6/(-8))/(4/(-64)) and 3?
12
Let l be (1 - 2)/((-1)/(-3)). Let w = -248 - -276. What is the smallest common multiple of 2/(-1)*l/3 and w?
28
Suppose -4*r = -r - 15. Suppose -3*g - r*x = -2*g + 6, 0 = x + 2. What is the lowest common multiple of 22 and 2 + 4/1*g?
198
Let r = 10807 + -22139/2. Let c = r - -311. Calculate the common denominator of -63/22 and c.
22
Let q(d) = -d - 7. Let b be q(-7). Suppose -s + 6 = 11, -2*x + 3*s + 19 = b. Suppose -x*l + 4 = 2. Calculate the smallest common multiple of 2 and l.
2
Let n(s) = s**2 - 21*s + 58. Suppose 3*m + 0*m = 57. What is the least common multiple of 2 and n(m)?
20
Suppose -3*m = -8*m + 1894130. Let n be m/179584*1 - 4. Let f = -3/3904 + n. Find the common denominator of f and -123/10.
230
Let t = -11814556915009/1452689602 - 1/55872677. Let c = 8135 + t. Find the common denominator of c and (1 - -1)*(-279)/(-120)*215/(-258).
104
Let u = 696050969/142537005 + 47497/113802. Let k = 1/1503 - u. What is the common denominator of -59/22 and k?
110
Calculate the common denominator of -61/16 and ((-34)/255)/((-12)/(-670)).
144
Calculate the common denominator of (-556)/126 + (-25)/(-5) and 55/63.
63
Let v = 614/71 + -91411/10792. What is the common denominator of v and 19/40?
760
Suppose 2*i + 3*h = 5*h + 94, -5*i + h + 215 = 0. What is the lowest common multiple of 24 and i?
168
Suppose 4 = -2*s + 4*r, s - 7 = -3*r + 1. Let i(y) = 308*y. Let k be i(2). Calculate the common denominator of s/7 - 4411/k and 19.
8
Calculate the common denominator of -8 - ((-6839)/700 + 3) and 49/10.
100
Suppose o + 2*o = p + 1, 2*o + 21 = 5*p. Calculate the lowest common multiple of 22 and o.
22
Let o(p) = -p**3 - 3*p**2 - 2*p - 1. Let w be o(-3). Suppose 10 = 4*g - w*g. Let x = 11 + g. What is the lowest common multiple of x and 5?
5
Let g(r) = r**2 - 44*r + 478. What is the lowest common multiple of 90 and g(28)?
90
Let l(q) = 2*q**3 - 7*q**2 - 23*q + 112. Calculate the lowest common multiple of 99 and l(5).
792
Suppose 8*u - 230 = -70. Calculate the lowest common multiple of u and 1406.
14060
Let x(w) = 3*w + 1. Let q be x(2). Suppose q*i + 9 = 8*i. Let m(u) = -u**3 - 7*u**2 + 7*u + 3. What is the least common multiple of m(-8) and i?
99
Let m = 109006260/44990483 + 24/1215959. Let r = 11855367/4403 - m. Let x = -2696 + r. Find the common denominator of x and -93/10.
70
Suppose -45 + 35 = n + 3*o, -2*o - 18 = -5*n. What is the lowest common multiple of n and 59?
118
Let c = -893 - -1193. Calculate the least common multiple of c and 3.
300
Let g = 5 - 16. Let j(c) be the third derivative of c**6/120 + c**5/5 + 5*c**4/12 - 4*c**3/3 + 5*c**2. What is the least common multiple of j(g) and 7?
21
Suppose -b - 3*b - 20 = 0. Let d(n) = -3*n + 8. Calculate the common denominator of 19 and d(b).
1
What is the common denominator of 115/24 and (-26)/12*(-1 - 30/(-24))?
24
Suppose 19*r - 25*r = -60. What is the smallest common multiple of r and 11?
110
Let b = -120958 + 18143551/150. Find the common denominator of b and 157/30.
150
Let b(c) = c**2 + c - 17. Suppose -5*m = -8*m - 18. What is the smallest common multiple of 11 and b(m)?
143
Let p be (27 - 3)*(-32 + -1). Let j = 3999/5 + p. Let i = 955/7 + -6989/56. What is the common denominator of j and i?
40
What is the common denominator of (-4)/(-20)*242/(-12) and 1/(-54)*-119*3?
90
Let l = -1444841/175 - -8256. Calculate the common denominator of l and -29/28.
700
Let o(m) = -m**2 + 39*m - 373. Let j be (-60)/(2*(-9)/12). Suppose 0 = -5*z + z + j. What is the least common multiple of o(21) and z?
10
Let b be ((-20)/6)/((-36)/54). Suppose 0 = -b*a + s - 0*s + 20, -4*s = -5*a + 20. Calculate the smallest common multiple of 1 and a.
4
What is the common denominator of 242/(-420) + 12/36 and 73/2?
70
Let h = -45 + 63. Let r(z) = 9*z**3 + z**2 - 1. What is the lowest common multiple of h and r(1)?
18
Let y = -178/11 + 347/33. What is the common denominator of 23/4 and y?
12
Let h = 1490 - 1370. What is the smallest common multiple of 280 and h?
840
Let f be 0 + 0 + (-1 - -7). Let r be f/18 - 440/6. Find the common denominator of -58/7 and (-8)/12 - r/3.
21
Let o = -8 + 4. Let w be o/(-20)*(-6595)/(-38). Let y = w + -4/19. Calculate the common denominator of 79/2 and y.
2
Let t = -323 + 2589/8. Let b(m) = -12*m + 5. Let f be b(-9). Calculate the common denominator of t and 3/(-18)*f/(-4).
24
Let f(c) = -c**3 + 3*c**2 + 6*c - 6. Suppose -4 - 16 = -5*v. Let s be f(v). Suppose -q - 2 = -s*q. Calculate the least common multiple of 5 and q.
10
Suppose -42 = -2*o - o. Suppose -15*a + 2 = -13*a, 5*p - 155 = -5*a. Calculate the lowest common multiple of o and p.
210
Suppose -l + h - 33 = -2*h, 0 = 2*l - 4*h + 62. Let a = -61997/7224 + -3/2408. Find the common denominator of (-5)/(-8)*l/(-5) and a.
24
Let u be -3 + 4/1200*898. Let p = -88/47659 - -132375443/14297700. Let v = u + p. Find the common denominator of v and -79/4.
4
Let k = 8303127/106 - 78332. What is the common denominator of 63/(-6)*(-33)/(-45) and k?
530
Suppose -3140 = b - g, -2*b = b - 5*g + 9416. Let j = b - -31451/10. Let h = 241 - 2971/12. Calculate the common denominator of j and h.
60
Suppose 0*f = -f + 26. Let x(k) = -k**3 + 9*k**2. Let s be x(9). Suppose s*h - h + f = 0. What is the least common multiple of h and 8?
104
Let d = 379 - 329. Calculate the smallest common multiple of d and 80.
400
Calculate the common denominator of -3 + (-43980)/(-14872) - (-26)/143 and -109/12.
2028
Let t(p) = -3*p - 15. What is the smallest common multiple of 39 and t(-12)?
273
Let p = -9 - -14. Let j = p - -17. Calculate the least common multiple of (-2)/(0 + 3/(-18)) and j.
132
Let i be 404 + -5 + 1/(-1) + 2. Let k = -2383/6 + i. Calculate the common denominator of k and (21/280)/((-2)/(-28)).
60
Let v = 3505/4 + -872. Find the common denominator of 43/272 and v.
272
Suppose -1176 = -59*c + 45*c. What is the least common multiple of c and 12?
84
Let q be (-1 + 5)/(8*5/60). Find the common denominator of 5 - (4 - 225/q) and 57/7.
14
Suppose f + 2*f + y = 12, -4*y + 16 = 4*f. Calculate the lowest common multiple of 43 and f.
172
Let h = 52 + -49. Suppose 7 + 5 = h*z. What is the smallest common multiple of z and 48?
48
Calculate the smallest common multiple of 55*(-5 + -1)/(-6) and 30.
330
Let i(k) = -k**2 + 22. Let s = -6 - -24. What is the least common multiple of s and i(0)?
198
Suppose 34*a - 1344 = 10*a. What is the lowest common multiple of 16 and a?
112
Let o = 20120321/46375 - 28/6625. Let t = 432 - o. Calculate the common denominator of t and (25/7 + -3)*-10.
7
Let h = -1/485 + 3401/2910. Calculate the common denominator of -97/4 and h.
12
Let f be (-50)/64 + 6/8. Let k = f + -139/160. Suppose 4*z = -2*j - 70, 3*z - 16 = 4*j - 52. Calculate the common denominator of z and k.
10
Let j(z) = -z**3 + 12*z**2 - z + 15. Let p be j(12). Suppose -y + 4*o = 10 + 6, -34 = p*y + 2*o. Find the common denominator of (-3 - 230/y) + 1 and 125/12.
12
Let r = -716 - -738. What is the least common multiple of r and 182?
2002
Let u(b) = 2*b**2 + 3*b + 1. Let s be u(-1). Calculate the smallest common multiple of (s - (-2 + 1))/((-1)/(-183)) and 5.
915
Suppose -43 = 2*y - 103. What is the least common multiple of 2 and y?
30
Let f be (-4)/(-3)*(-1 + -2). Let o be ((-6)/9)/(f/(-18)). What is the least common multiple of (-31)/(-4) + o/(-12) and 2?
8
Let b(i) = -i**3 + 3*i**2 + i + 5. Let m be b(4). Let o be (9/(-2))/(m/42). Let f = 51 - o. What is the smallest common multiple of 12 and f?
24
Let v be 2/(-3)*-3*11. Calculate the common denominator of -1 + 1*4 - 856/160 and v/32 - 1/(-2).
80
Let f = 14 - 20. Let q(d) = -22*d**2 + 5*d + 9. Let r be q(f). Let a = r + 4775/6. Calculate the common denominator of -85/2 and a.
6
Let c be (-1519)/(-35) - -3*4/(-30). Suppose 4*w = c + 1. Suppose 26 - 6 = 2*l. Calculate the least common multiple of w and l.
110
Let a = -439 + 1363/3. Calcul