
72
Suppose -4*n - 5 = -3*n, 21 = d - 3*n. Calculate the lowest common multiple of d and 44.
132
Suppose 146 = 5*q + h, -3*q - 4*h = -2*h - 82. Calculate the common denominator of 105/(-132)*q/(-7) and -51/8.
88
Let w be -2*1 - (2 - (-908)/(-239)). Let n = w - -15059/2390. Calculate the common denominator of -9/22 and n.
110
Let n = -20/161 - 2007/322. Find the common denominator of 4*(-3)/4 + 153/50 and n.
350
Let w(j) = -32*j - 112. What is the smallest common multiple of 72 and w(-8)?
144
Let s be (1/(-279))/(-2 - (-132)/63). Let i = -2269/1488 + s. Calculate the common denominator of i and 37/6.
48
Suppose 3*c - 36 = -5*i + 7*c, 0 = -i - c. Suppose 0 = -i*l + 3*l + 4. What is the smallest common multiple of 10 and (-3)/(0 - 6/l)?
10
Suppose 6*n - 604 = -10. What is the lowest common multiple of n and 12?
396
Let w(n) = 7*n**2 - 2*n. Let j(h) = -7*h**2 + 3*h. Let m(k) = 3*j(k) + 4*w(k). Calculate the lowest common multiple of 7 and m(1).
56
Let n = -68 + 78. Suppose 5*z = -d - 7, -5*d + 5*z + 0 + 55 = 0. What is the smallest common multiple of d and n?
40
Let w = 7/16445 + -1302179/7104240. What is the common denominator of w and 65/12?
432
Let p(i) = -33*i**2 - 206*i - 44. Let a = -25 - -13. What is the lowest common multiple of a/(-1*3/2) and p(-6)?
8
Let b = -913/5 + 4733/30. Suppose 0 = -3*p + 2*n - 68, 4*p - 7*n + 79 = -2*n. Calculate the common denominator of b and p.
6
Suppose -2*g - 4*t + 58 = 3*g, -3*g + 24 = -3*t. What is the least common multiple of g and 2?
10
Let h = -616399/320 + 9626/5. Find the common denominator of -103/40 and h.
320
Let v(p) = p**3 + 12*p**2 - 3*p - 21. Let w = -11 - -17. What is the lowest common multiple of w and v(-12)?
30
Let p = -42134 - -1011361/24. Find the common denominator of 157/30 and p.
120
Let i(d) = -4*d**2 + 6*d. Let b be i(4). Let j = -5093 + 101921/20. Calculate the common denominator of j and (3/b)/(3 - 347/116).
20
Suppose 0*f - f - 17 = -2*n, -3*n = -f - 26. Let i = -319 + 329. What is the smallest common multiple of n and i?
90
Let s = -21 - -19. Let n be (5/(20/(-56)))/s. Calculate the common denominator of -139/18 and (81/n)/((-30)/(-21)).
90
Let j be 9/(-3) + -141*3/(-186). Let s = j + 94/279. What is the common denominator of -91/12 and s?
36
Let h = 8 - 3. Suppose -2*f = 0, o = -2*o - h*f - 13734. What is the common denominator of o/224*4/18 and -99/10?
120
Let y = -80 - -85. Suppose -5*w = -y*l + 60, 7*w - 2*w + 48 = 4*l. Calculate the least common multiple of 33 and l.
132
Let n = 5195 - 171422/33. What is the common denominator of n and -73/60?
660
Let s = 36 - 18. Calculate the least common multiple of 27 and s.
54
Let w(i) be the first derivative of -3*i**2 - i - 15. What is the lowest common multiple of 9 and w(-2)?
99
Suppose 3*d - 323 = -2*h, -4*h + 3*d = -9*h + 803. Calculate the least common multiple of 144 and h.
1440
Find the common denominator of 37/(-8) + (-2 - -3) and 177/885 + (66/(-20) - 1).
40
Let n(x) = -x**3 - 9*x**2 + x + 11. Let g be n(-9). Let w(j) = 0 - 3*j - 4 + 5*j**g - j**3 + 7. Calculate the lowest common multiple of 16 and w(3).
48
Let o(i) = 55*i - 6. Let z be o(-2). Let t = z - 77. Let y = -1937/10 - t. Find the common denominator of 61/2 and y.
10
Let w = 23 + -11. Suppose 2*a - y = 4*y - w, -2*y = -8. Suppose a*i = 3*l - 38, l + 2*l - 3*i = 42. Calculate the smallest common multiple of l and 3.
18
Let o be (-1 - 6)/(1/2). Suppose -2*v - 2*u - 110 = -7*v, 5*u + 66 = 3*v. Let q = v + o. What is the least common multiple of 22 and q?
88
Suppose 6*y - 4*y = 178. Let q = 1461/16 - y. What is the common denominator of -95/4 and q?
16
Let u(a) = -a**2 + 4*a + 3. Let z be u(-3). Let k be (19254/z)/(11/18). Let o = k + 1749. What is the common denominator of o and -37/3?
33
Let h be 74710/56*88/(-20). Let f = -5864 - h. Calculate the common denominator of 101/12 and f.
84
Let x = -5442886 - -59806645/11. Let l = x + 5914. Find the common denominator of l and -1/4.
44
Let j = 6162311/8 - 765839. Let p = j - 4444. Let g = 30865/12 - 2574. What is the common denominator of p and g?
24
Let g = -205 - -217. Calculate the lowest common multiple of g and 42.
84
Suppose s + 511 = 6*s - 2*y, 0 = -2*s + 4*y + 214. Calculate the common denominator of (s - 8)/(-2*(0 - 2)) and 107/50.
100
Let i be 4/9 + (-5478)/297. Calculate the lowest common multiple of 3/((-4)/(-16)*(-8)/i) and 10.
270
Let d = -6/8203 + 1427508/254293. Let b = d + -5195/434. What is the common denominator of -73/152 and b?
1064
Let s = -62917/97110 - -14/5395. Find the common denominator of s and -47/78.
234
Let h(l) = 9*l + 16. Let v be h(-3). Let n = v - -19. Suppose -2*r - 3*r = -5. Calculate the least common multiple of n and r.
8
Suppose -549 = -21*i - 381. Calculate the lowest common multiple of i and 22.
88
Let h(v) = -v**3 - 4*v**2 + 60*v + 5. Calculate the lowest common multiple of h(6) and 19.
95
Suppose 0 = -2*q + 11*q - 90. Let m(j) = j**2 - 8*j - 5. Let z be m(-5). What is the least common multiple of z/9 + (-1)/(-3) and q?
70
Let m = -25588289/168 + 152312. Calculate the common denominator of -34/35 and m.
840
Let u = -64/3 - -17. Calculate the common denominator of u and 59/30.
30
Suppose 270 = -5*y + 5*a, 4*y - 2*a + 7*a + 252 = 0. Let p = y - -76. What is the smallest common multiple of p and 30?
90
Let q(k) = 20*k + 82. Calculate the smallest common multiple of q(-4) and 31.
62
Suppose -11*k + 14*k = -6. Let j(c) = -3*c**3 - 4*c**2 - 2*c. Let l(u) = -17*u**3 + u**2 + u + 1. Calculate the least common multiple of l(-1) and j(k).
36
Suppose -3*l = -8*l - 1220. Let c be l/20 - (2 + -2). Let d = c + 223/15. Calculate the common denominator of d and -79/6.
6
Let t = -4 + 3. What is the common denominator of 236/(-12)*t/(-2) and (-10)/(-4) - (1 + 0)?
6
Let k = -17 + 14. Let c be (k/2)/((-4419)/(-12)). Let x = c - 46637/1964. What is the common denominator of -15 and x?
4
Let c(v) = -v + 10. Suppose 10 = -0*m - 5*m. Let h = m + -6. What is the smallest common multiple of 20 and c(h)?
180
Suppose -4*b = -2*k - 710 + 244, -2*b + 4*k = -218. What is the least common multiple of b and 3?
357
Let w = -36683/10 + 3665. Find the common denominator of ((-5)/(-50))/(15/(-1325)) and w.
30
Let j = -110/559 + 570808/2895061. Let p be ((-1675311)/(-32))/(-11)*(-5)/15537. Let s = j - p. Calculate the common denominator of 35/6 and s.
96
Let z(m) = -10*m + 2. Let r be (5/2)/(13/26). Suppose -r*x = -95 + 45. Calculate the least common multiple of z(-2) and x.
110
Let y = 77 - 79. Find the common denominator of ((-9)/((-162)/480))/y and (-1 - 60)*1/3.
3
Suppose -4*k + d = -67, 3*k + 5*d + 2 = 81. Let o(a) = 9*a**2 - 4*a + 1. What is the least common multiple of o(3) and k?
630
Let b = -2779/72 - -272/9. Calculate the common denominator of -29/97 and b.
776
Suppose 76 = 5*x + 3*u + u, -2*u = 2. Let g = -13 + x. What is the least common multiple of g and 10?
30
Suppose -q = 2*q + 36. Find the common denominator of -32/27 and (61/q)/((-54)/24).
27
Let v = -1579 + 50521/32. What is the common denominator of -83/32 and v?
32
Let z be (-6)/12 + (-92327)/3795. Let d = z + -6/1265. Find the common denominator of (86/18)/(1/(-1)) and d.
18
Let x = -50 - -37. Find the common denominator of -40/29 and (16 + x - 1/4)*10.
58
Let a(r) = 2*r**3 - 5*r**2. Let m be a(6). What is the lowest common multiple of (2/6)/(14/m) and 6?
6
Let c(t) = -2*t**2 + 25*t + 2254. Suppose j = -4*s + 65, -2*s = -s + 4*j - 35. Calculate the lowest common multiple of c(40) and s.
270
Calculate the lowest common multiple of 100 and ((-45 - -44) + 0/(-1))*-62.
3100
Let n(r) = -2*r**3 + 2*r**2 - 5*r - 2. Let w be n(4). Let z = -18882 - -302011/16. Calculate the common denominator of z and (-1)/(6*3)*w.
144
Let r(c) = c**3 + c**2. Let n(a) = 7*a**3 + 18*a**2 - 14*a - 12. Let k(w) = n(w) - 6*r(w). Calculate the lowest common multiple of k(-13) and 3.
3
Let n be (-269012)/(-2 + 6) - 2. Let x be 2/(-4)*(-10)/n. Let s = x - 1250923/269020. Find the common denominator of 23/14 and s.
140
Suppose 0 = 6*a - 23 - 37. What is the lowest common multiple of a and (-30)/9*(-5 + 2)?
10
Let o be 6/(-15) + ((-1745731)/1334280 - 2). Let x = o + 2/55595. Calculate the common denominator of 61/24 and x.
24
Suppose 64 = 2*i + 20. Let y(x) = -17*x - 672. What i