and i(3).
84
Suppose -8*m + 5*m - 11 = -2*l, 5*l - 15 = -5*m. Let s be 2 + 1 - (4 - 4). Suppose -s*w + 7*w - 72 = 0. What is the smallest common multiple of l and w?
36
Let v be 48/220 + 2/(-5). Let a be 0 + 1 - 498/198. Let m = a - v. Calculate the common denominator of 27/5 and m.
15
Let c = 142496 + -17954659/126. What is the common denominator of c and (-938)/12*(-1)/(-14)?
252
Let u(i) = 6*i**2 - 4*i - 6. Let k be u(-2). What is the least common multiple of 24/13 + 134/k + -5 and 8?
8
Let v = -4693/2074 - 11/122. What is the common denominator of 2 + 50*(-3)/(-9) and v?
51
Let d = -3 + 5. Suppose 2*l - 157 = 5*g - 374, -211 = -5*g - 4*l. Let w = -27 + g. Calculate the smallest common multiple of d and w.
16
Let d = -60 + 41. Let s = d + 40. What is the lowest common multiple of 27 and s?
189
Suppose 5*d - 2*d + 91 = -5*u, 3*u + 69 = 3*d. Let c = u - -32. Let n = 15 + -7. What is the lowest common multiple of n and c?
24
Let n = -11249 + 11219. Calculate the common denominator of -8*-1*(-2 - -3) and n.
1
Let x(v) = 2*v + 26. Let i be x(-17). What is the common denominator of (-103)/10 + (i + 3)/5 and 0 - (0 + 45/(-66))?
110
Let p(b) = -2*b + 4. Suppose -3*k - 13 = 4*w, 5*k + 5*w + 17 + 3 = 0. Let z be (-1)/k + 14/(-6). What is the lowest common multiple of p(z) and 20?
40
Let x(v) = -v**3 + 8*v**2 + v - 6. What is the least common multiple of -3 - (0 + -27) - (6 - 3) and x(8)?
42
Let d = 51 - -26. What is the smallest common multiple of d and 7?
77
Suppose 4*w + 14 = 5*w. Let k = 19891/4420 - -11/221. What is the common denominator of k and 0 - 5/w - -4?
140
Suppose -2*h - 2 = -4*t - 22, -4*h + t = -19. Calculate the least common multiple of h and -1 + (3 - 0) - -16.
36
Suppose 0 = -f - i - 0*i, 0 = 3*f - 3*i - 12. Let z(h) = 2*h**3 - 2*h**2. Let c = 45 - 23. Calculate the smallest common multiple of c and z(f).
88
Let g = -11 - -17. Let s = 674 + -6663/10. Calculate the common denominator of ((-9)/g)/((-18)/(-182)) and s.
30
Let r = -210 + 855/4. Let g = -24 + 19. Calculate the common denominator of r and 3 + -2 + (-31)/g.
20
Let c = 3741/20 + -5991/32. Calculate the common denominator of c and 67/68.
2720
Let s(t) = -7*t**2 - 5*t**3 - t**3 + 12*t**3 - 2 - 10*t - 7*t**3. Calculate the least common multiple of s(-6) and 2.
22
Let c = -19 - -24. Suppose -c = -2*q + 9. Calculate the least common multiple of 11 and q.
77
Let p(x) = 6*x**2 - 7*x**2 - 4*x**2 + 4*x**2 - x. Let n be p(-1). Find the common denominator of n + 0 - (-60)/8 and -38.
2
Suppose -3*x - 136 = -202. What is the lowest common multiple of x and 144?
1584
Suppose 3*r + 360 = 4*z - z, 3*r + 5*z + 352 = 0. What is the common denominator of 113/28 and 2/8 - r/(-196)?
28
Let n(i) = -i**3 - 3*i**2 + i + 6. Let f be n(-4). What is the smallest common multiple of 6 and f/(2/(16/6))?
24
Let r(j) = j**3 - 3*j**2 - j + 5. Let o be r(3). Calculate the smallest common multiple of 5 and ((-5)/o)/((-15)/30).
5
Suppose 2*b - 487 = -4*z - 409, -3 = b. Suppose 3*x - 108 = -x - q, -q + 81 = 3*x. Calculate the lowest common multiple of x and z.
189
Suppose 3*n + c + 792 = 0, 1320 = -2*n - 3*n - 5*c. Calculate the common denominator of ((-18)/n)/((-2)/(-140)) and 7/(-10) + (-2)/(-10).
22
Let i(c) = -4*c + 16. Let t be i(4). Suppose d + 22 - 70 = t. Calculate the smallest common multiple of 6 and d.
48
Let b be (11 - 3)/(-2*(0 + 1)). What is the common denominator of (((-116)/7)/b)/((-12)/(-14)) and 74/27?
54
Calculate the smallest common multiple of 1 + (6 - 5) + (11 - 4) and 138.
414
Let h be 15109/2 - (-36)/(-24). Let s = h - 5337. Let i = 4349/2 - s. Find the common denominator of i and -63/22.
22
Suppose 716 = 4*t + 5*h + 36, -5*h - 475 = -3*t. Calculate the least common multiple of 105 and t.
1155
Let w = -151/172 + -16/43. What is the common denominator of 75/4 and w?
4
Let r = 4240/7 + -67399/112. Calculate the common denominator of r and 1 - 6 - ((-2169)/(-126) + -19).
112
Suppose 0 = 4*j + 22*j - 1716. Calculate the lowest common multiple of j and 22.
66
What is the lowest common multiple of 24 and (-15934)/(-1054) + 2/(-17)?
120
Suppose -10*g = -7*g - 186. What is the least common multiple of 20 and g?
620
Suppose -w - 3*w - 140 = 0. Let x = 46 + w. Calculate the lowest common multiple of 3 and x.
33
Suppose -5*h - 65 = -2*j + 161, -3*j + 5*h + 339 = 0. Let w = j + -97. Calculate the lowest common multiple of 32 and w.
32
Suppose -2*h = z - 3*h - 13, 0 = -3*h. Calculate the lowest common multiple of 3/(2*2/(-4)*-1) and z.
39
Suppose -18*u + 13*u + 100 = 5*n, -u = 5*n - 100. What is the lowest common multiple of n and 48?
240
Let j = -506 + 509. Calculate the lowest common multiple of j and 21.
21
What is the common denominator of (314/(-80))/((-8)/(160/15)) and -127/258?
1290
Let u = 2/11519 - -264893/253418. Let m(i) = 2*i + 46. Let r be m(-22). Calculate the common denominator of u and ((-39)/(-12))/(r - (-87)/(-54)).
154
Let u(x) = -21*x**2 - x + 3. Let w be u(1). Let n = w + 40. Calculate the lowest common multiple of 11 and n.
231
Let t(u) = -20*u - 1. Let k be t(1). Let n = -19 - k. Calculate the least common multiple of n and 4.
4
Let v(g) = -5*g**2 + 2*g + 5 + 0*g - 11 + g**3. Let l be v(4). What is the lowest common multiple of (1 + -2)*(l + 3) and 7?
77
Suppose 0 = 2*f + 2*f, -2*w + 5*f = -90. Let l = w + -29. Suppose -j - 5*t = 3, 4*j - 11 = -t + 4*t. Calculate the smallest common multiple of j and l.
16
Let f(i) = -i**2 + 14*i + 15. Let n be ((-11)/(-22))/(1/30). Let c be f(n). Suppose 5*z - 58 - 52 = c. Calculate the least common multiple of z and 16.
176
Let p(z) = -14*z - 8 + 9 + z**2 - 1. Let t be p(14). Suppose t = 4*j + 20, -5*j = 2*h - 8 + 23. What is the lowest common multiple of h and 7?
35
Let n(v) = 2*v + 82. Calculate the smallest common multiple of n(-27) and 20.
140
Suppose 0 = 2*j - 5*f - 45, -5*f = -j + 9 + 6. What is the lowest common multiple of j and 18?
90
Let i(o) be the second derivative of o**4/12 + 19*o**3/6 + 27*o**2/2 + 13*o. What is the smallest common multiple of 7 and i(-18)?
63
Calculate the common denominator of 101/162 and 1/(-102)*(-452)/(-4).
2754
Suppose 5*v = -2*n + 1060, -4*n = -4*v + n + 881. Calculate the least common multiple of 6 and v.
642
Let m = -42 + 33. What is the common denominator of -58/7 and 1/((-18)/(-16)) - (-3)/m?
63
Let n = 42/3569 + 6969207/89225. Let i = 78 - n. Calculate the common denominator of i and -59/2.
50
Let o = -43 + 47. Suppose 0*u = -o*u + 32. Let m(x) = x**2 + 4*x + 5. What is the smallest common multiple of m(-5) and u?
40
Let p(x) be the first derivative of x**2/2 - 2. Suppose -1371*a + 1378*a = 70. Calculate the lowest common multiple of p(14) and a.
70
Suppose 240 + 245 = 5*k. Let r = -69 + k. What is the common denominator of r and -37/2?
2
Suppose -7 = 3*u + 11. Let j = 18 + u. Calculate the smallest common multiple of 48 and j.
48
Let y = 412438 - 3715571/9. Let d = -401 - y. Let v(o) = 6*o**3 - 2*o**2 + 4*o - 3. Find the common denominator of d and v(2).
9
Let g be (3 - 0)/3 + 3. Suppose -f + 225 = g*f. Find the common denominator of 29/10 and 9/(-1 - f/21).
110
Suppose 0 = -3*j + 3*y - 9, 5*y - 3*y = 10. What is the least common multiple of j and 124?
124
Suppose g - 84 = -5*g. Calculate the common denominator of ((-4)/(-36))/(g/(-159)) and 67/3.
42
Suppose -2*c - 18 = c. Find the common denominator of (-4)/(-5) - (-6)/4 and 1/(-4)*(5 + (-3)/c).
40
Let t = 341 + -1373/4. Find the common denominator of 137/110 and t.
220
Let z(y) = -y**3 - 3*y**2 + 4*y - 1. Let l be z(-4). Calculate the common denominator of ((-33)/15)/((-4)/5) and (-2445)/(-50) - ((-3)/(-5))/l.
4
Let b = -2/2981 - 41596/205689. Calculate the common denominator of b and -87/92.
276
Suppose -3*t = -4*g - 68, 4*g + 110 = 5*t - g. Suppose 0 = 2*r - 2*a - 644, 60*a - 64*a + 342 = r. What is the smallest common multiple of r and t?
3260
Suppose 5*k - 5*o + 2*o = 93, -2*k = -4*o - 40. What is the common denominator of 1/k*(-35)/(-14) and 125/12?
36
Let i = 936/11 - 3535/44. Let x be 2/6 + (-10082)/312. Let b = x - -276/13. What is the common denominator of i and b?
4
Let s = -2595865/184 - -14108. Find the common denominator of 48/161 and s.
1288
Let y(s) = s. Let l be (-4)/(-18) - 1272/(-108). Suppose 7*o = l*o - 35. What is the l