 + (-170)/w.
36
Let g(x) = -x**3 - 11*x**2 + 10*x + 17. Calculate the smallest common multiple of g(-12) and 1.
41
Let m(q) be the first derivative of -3*q**2/2 + 8*q - 1. Let o be m(-7). Calculate the common denominator of o/(-14) - 1/1 and -25/14.
14
Calculate the common denominator of 2 - -1 - 41/16 and -33/14.
112
Suppose 25 = 5*w + o, -3*w + 4 = -o - 3. Suppose -2*z - 4*k + 32 = 0, -w*z = 5*k - 12 - 43. Calculate the smallest common multiple of 1 and z.
10
Suppose 0 = 4*n - 3822 - 7250. Let w = -3/441559 - 8536218567/3090913. Let c = w + n. Calculate the common denominator of -49/9 and c.
63
Suppose -j - 4*j - i = 12, -i = -4*j - 15. Let p be ((-7766)/(-8))/(j/12). Let a = p + 15623/4. What is the common denominator of 23/6 and a?
12
What is the common denominator of 87/4 and ((-30)/(-35))/(20/287)?
20
What is the lowest common multiple of -2*(-1 - (-4)/(-2)) and 33?
66
Let o = 63326 + -370829/6. Let b = o - 1506. Calculate the common denominator of b and (-142)/(-15)*(-5)/(-6).
18
What is the lowest common multiple of 24 and ((-64)/(-40))/((-2)/(-5))?
24
Let p = 68 + -48. Suppose -4*d = w - p, 5*w + 4*d = 2*d + 100. What is the smallest common multiple of w and 122/10 + 1/(-5)?
60
Let z be 4 + -6 + (-302)/(-31). Let k = z - 323/310. Calculate the common denominator of k and 59/8.
40
Let k = 10 + 1. Let b = k + 35. Calculate the common denominator of -62/3 and b.
3
Calculate the smallest common multiple of 158/8 - 5/(-20) and 22.
220
Let k be (-14)/(-6) + (-1)/3. What is the least common multiple of 15 and 10/(-8)*(k + -6)?
15
Suppose -2 + 8 = -3*q. Let j(c) = c + 5. Let m be j(-5). Let l = m - q. Calculate the lowest common multiple of l and 2.
2
Suppose 4*t - 4*h - 4 = 0, 5*t - 17 = 4*h - 2*h. Let s = 8 - t. Let c = -14 - -23. What is the lowest common multiple of c and s?
9
Let r = 366925/22 + -16682. Calculate the common denominator of r and -109/12.
132
Suppose -54 = x + 4*z - 152, -4*x = -3*z - 354. Suppose 6*j - j - x = 0. Suppose 0*u = -2*u + 4. What is the least common multiple of u and j?
18
Find the common denominator of (0 - 685/30)/2 and 37/(-3)*9/10.
60
Let z(y) = -y**3 - 5*y**2 + 7. Calculate the smallest common multiple of z(-5) and 7.
7
Let a = 4 + 3. What is the smallest common multiple of 11 and a?
77
Let f be (-6)/(-5)*5/(-2). Let r = f - -5. Suppose 5*v = -5*u + 15, r*v + 33 = 5*u + v. Calculate the smallest common multiple of 10 and u.
30
Suppose 4 = -2*g - 4. Let l = 53133/8 + -6630. What is the common denominator of 86/8 - (-2)/g and l?
8
Let a = -92 + 52. Find the common denominator of -25/18 and (-23*(-6)/a)/(-3).
180
Suppose 5*c + 2*a = -68, -5*c - 3*a - 32 = 35. Let h = 8 - 14. Let b = h - c. Calculate the lowest common multiple of 3 and b.
24
Let s = -29 + 59. Let v be (-1 + 5 - -5)/3. Suppose v*u + s = 3*l, -3*l + u + 54 = 2*l. What is the lowest common multiple of 1 and l?
11
Let l(p) = -3*p - 9. Let a = 6 + -13. Calculate the smallest common multiple of 6 and l(a).
12
Suppose -q + 6 = q. Calculate the lowest common multiple of q/6*-6 + 8 and 1.
5
Let k be 236556/51898 - (-4)/14. Let y = -22/337 - k. Calculate the common denominator of 23/46*(-91)/4 and y.
88
Let g(k) = -k**3 - 3*k**2 - k + 4. Calculate the lowest common multiple of 14 and g(-2).
14
Let f = 22 - 18. Calculate the least common multiple of 1 and f/(-1) - (-12 + 5).
3
Suppose -2*t = -2 - 0. Let q(b) = -b**2 - b + 1. Let n be q(t). What is the common denominator of 91/4 and ((-8)/9)/(n/(-15))?
12
Let l = 1441/468 + -127/26. What is the common denominator of 67/9 and l?
36
Let n = 86 - 75. Calculate the smallest common multiple of 10 and n.
110
Suppose 4*l - x + 7 + 12 = 0, -5*x = 3*l + 43. What is the common denominator of l/33 + 1395/231 and (6/20)/((-6)/(-58))?
70
Let g(h) = 19*h**3 + 2*h**2 - h. Let s be g(1). Let v = 30 - s. What is the lowest common multiple of v and 4?
20
Let l = -157117/17 - -9231. Let u = l - 59/51. What is the common denominator of 339/40 + 3/(-5) and u?
24
Let g(x) = 2*x - 6. Let z be g(5). Suppose 0 = z*t - 2*i - 26, 3*i + 21 = 4*t - 2. Suppose 0*j = 4*j - 80. Calculate the smallest common multiple of t and j.
40
Let j(l) = -355*l**3 - 3*l**2 + 4*l. Let z be j(-3). Let a = z - 95561/10. What is the common denominator of a and -93/20?
20
Let i = 4343/4 + -1092. Find the common denominator of i and 73/4.
4
What is the common denominator of (-2)/((-1)/(22/14)) and ((-6)/18)/(2/130)?
21
Let p = 7594 + -964444/127. Let z = -569/1397 + p. Find the common denominator of (138/16)/((-10)/(-8)) and z.
110
Let g(k) = k**3 + 7*k**2 - 3*k - 1. What is the lowest common multiple of 4 and g(-7)?
20
Let j = -1/297 + -3857/1188. Let k = -9785 - -58853/6. Calculate the common denominator of j and k.
12
Suppose 45 = 3*n + 18. Calculate the lowest common multiple of n and 6.
18
Let m = 1 - 3. Suppose 2 = 5*f - 48. Calculate the lowest common multiple of f and (-5)/(-5)*(4 + m).
10
Calculate the lowest common multiple of -4 + 2 + 80/4 and 16.
144
Let p = -2/1701 + -37981/6804. Let o = -879103/6 - -145361. Let c = o + 1149. Calculate the common denominator of c and p.
12
Suppose 7*z = 2*z - y + 81, y + 15 = z. Suppose -4*v + 2*g + 83 = -g, 0 = 5*v - 5*g - 105. What is the lowest common multiple of v and z?
80
Let c = -4333/20 - -1142/5. Find the common denominator of -113/14 and c.
28
Let a = 9713 + -271903/28. Find the common denominator of -35/22 and a.
308
Suppose 114 - 14 = -c. Calculate the common denominator of 3/(-1) - c/16 and -79/20.
20
Let o be 3/6 - 6/4. What is the least common multiple of 18 and (-1 - o) + 9 - -3?
36
Let s be (-2762)/(-80)*35/2. Let r = s - 604. Let t = 9803/708 - 3/236. Calculate the common denominator of r and t.
48
Suppose 0*y = -4*y + 40. Let p(l) be the first derivative of -l**2/2 + l + 2. What is the smallest common multiple of p(-2) and y?
30
Let w = 13 + -9. What is the smallest common multiple of ((-3)/w)/((-2)/16) and (-4)/(8/3)*-2?
6
Let z(x) = x + 5. Let y = 18 - 14. Calculate the smallest common multiple of 9 and z(y).
9
Suppose 3*x = -15, -2*b - 5*x - 37 = 36. What is the common denominator of -1/9 and (-4)/10*b/(-16)?
45
Suppose 8*f - 6 = 5*f. What is the smallest common multiple of f and 48?
48
Suppose -4*a - 5 = a. Let i(t) = -5*t - 1. Calculate the least common multiple of i(a) and 20.
20
Let q(f) = -f - 5. Let k = -8 + 14. What is the smallest common multiple of q(-8) and k?
6
Let g = -1401/13 + 178707/1651. Let a be (196/(-18))/(2032/(-2172)). Let c = a - g. Find the common denominator of c and 67/22.
66
Suppose 16 = 3*p - 2. What is the smallest common multiple of p and 4?
12
Find the common denominator of 4 - (-1 - 273/(-6)) and -109/20.
20
Suppose -51 - 21 = -4*r. Let l = -13 - -25. Calculate the least common multiple of r and l.
36
Suppose 3*k = -k - i + 89, k + 2*i - 31 = 0. Calculate the lowest common multiple of 12 and k.
84
Suppose -20 = -0*l - l + 5*x, -3*x = -2*l + 26. Calculate the smallest common multiple of l and 10.
10
What is the common denominator of 15*(-2)/((-252)/10) and -127/6?
42
Suppose 0 = -4*p, -2*u + 64 = 2*u + 2*p. What is the least common multiple of 10 and u?
80
Let o = 2329/5934 + -19/258. Find the common denominator of -70/9 and o.
207
Let l = -20 + 28. Let q(f) = -f + 2. Let x be q(1). Calculate the smallest common multiple of l and -1 - x - (-1 + -2).
8
Let k = -10069 + 60281/6. What is the common denominator of k and -57/5?
30
Suppose 4 = -3*d + 28. Suppose 7*q - 3*q = d. What is the least common multiple of q and 4?
4
Suppose -2*z = 2*y - 5*y - 25, 34 = 3*z - y. Calculate the lowest common multiple of 40 and z.
440
Let b = 15991/2 - 8225. Let d = 215 + b. Find the common denominator of -30 and d.
2
Suppose -m - 4*j + 34 = 2*m, 5*m = -3*j + 42. Let p(n) = 3*n - 8. Calculate the smallest common multiple of p(m) and 9.
90
Let m = -13 - -19. Suppose b = -4*p + 7 + 2, -2*b + 8 = 3*p. Suppose 3*n - p*q = 18, 3*n - 2*q = q + 21. Calculate the smallest common multiple of m and n.
12
Calculate the common denominator of (1 - -2) + 150/108 and -29/8.
72
Let s = 37 + -23. Suppose 0 = -5*c - y + 19, 4*y = -c + 2*y + 11. Suppose c*j - 44 = -8. Calculate the smallest common multiple of s and j.
84
What is the common denominator of -1*(-1)/(-4)*310/55 and ((-59)/5)/((