(t) = t**2 + t + 1. Let k(u) = -7*u**2 - 11*u - 2. Let p(v) = k(v) + 6*m(v). Suppose -4*j = 5 + 7. What is the least common multiple of p(j) and 8?
40
Suppose 4*h + 3*y - 25 = 0, -3*h + 7 = y - 8. Suppose 5*o = z + 2 + 2, h*z = 3*o + 35. What is the smallest common multiple of z and 2?
22
Let c be 12739/(-2)*6/22. Let d = 1735 + c. Find the common denominator of d and 47/22.
22
Suppose 0 = 2*q - 5*t - 6, -5*q = -5*t - 12 - 3. What is the least common multiple of q and 14?
42
Suppose -5*k = 4*s - 128, -5*s - 39 = -5*k + 71. Let g be (k/15)/(4/70). Let f = g - 17. What is the smallest common multiple of f and 4?
44
Let h = -3 + 31. Let z = 39 - h. Suppose -a - 2*a + 3 = 0. Calculate the lowest common multiple of a and z.
11
Let j = 210475/18 + -11687. Find the common denominator of -1 + -2*(-93)/8 and j.
36
Suppose 3*i - 15 = -d, 2*d = -0*i - 5*i + 32. Let z = d + -12. Calculate the lowest common multiple of 7 and z.
63
Let z = -224347/105 + 6416/3. Find the common denominator of z and -58/15.
105
Let z = -4783 + 76445/16. Let g = 77714693/1761 + -44131. Let s = g - -40495/7044. Find the common denominator of s and z.
16
Suppose -5*k + 4*c + 33 = 0, -3*k - 30 = -5*k - 4*c. Calculate the common denominator of 13/10 and (-670)/12*k/(-60).
40
Let j = 2 + 2. Suppose -j*t - 3*o = 43, 3*t = -o - 26 - 0. Let n = 1 - t. What is the lowest common multiple of n and 8?
8
Let s(a) = a**2 + 4*a - 8. Suppose 4*f - 4*i - 84 = -2*i, 0 = f + 2*i - 26. Calculate the smallest common multiple of s(-6) and f.
44
Suppose -5*l + 28 = 3*k, 0*k = 5*k - l - 28. What is the smallest common multiple of 18 and k?
18
Let t = 6681 - 80221/12. What is the common denominator of t and -77/6?
12
Let t(a) = -4 + 3 + 12 + a. Calculate the smallest common multiple of (-11)/((-22)/6) + (-1 - 0) and t(-7).
4
Suppose 27 = 4*u - 13. Let j be (-9)/10896*(-40856)/u. Let k = j + -51/227. Find the common denominator of k and -111/14.
140
Let g = 10739/1056 - 1/352. Find the common denominator of g and -79/4.
12
Let i(c) = c**2 - 7*c - 7. Let x be i(4). Let q = -1 - x. What is the lowest common multiple of q and 12?
36
Let j(a) = a**3 + 5*a**2 + a. Let g(y) = y**2 - 5*y - 6. Let v = 16 - 8. Calculate the smallest common multiple of j(-4) and g(v).
36
Suppose 20 = 4*z - 60. Let f = 12 - 4. What is the least common multiple of z and f?
40
Calculate the common denominator of (2/(-3))/2*(-59)/(-2) and 29/68.
204
Suppose 0*p = -p - 3, 7 = -l + 3*p. Find the common denominator of l and 510/8*(-124)/(-558).
6
Let z = -61307/17985 - 1/3270. Calculate the common denominator of 36/7 and z.
154
Suppose g - 12 = -3. What is the lowest common multiple of 115 and g?
1035
Suppose 16 = -4*m - 3*q, m = 5*q - 6 + 25. Suppose -23 = -k - 5*x, 5 + 19 = 4*k + 3*x. What is the lowest common multiple of m*(1 - (5 + -2)) and k?
6
Let d be 50/(-20)*2*3. Let k = -7 - d. What is the least common multiple of k and 10?
40
Let l = -6305/366 + -98/61. Let g = 26997245/12 + -2242776. Let n = g - 6990. Find the common denominator of l and n.
12
Let l(g) = -5*g. Let s be l(1). Let j be ((-134)/s)/(36/3405). Let y = j + -2515. Find the common denominator of y and 27/8.
24
Suppose 2*r - 4 = 2, -2*j + r + 1 = 0. Let s = 37 - 33. Calculate the least common multiple of j and s.
4
Let p(x) = -4*x + 0*x + 0*x + 0*x**2 + 1 + x**2. Suppose 4*f - 22 = -n - n, f + 2*n - 10 = 0. What is the lowest common multiple of p(7) and f?
44
Find the common denominator of 13/3 + (-2)/(-4) and -12/11.
66
Let u = -6597/2 + 128623/39. Calculate the common denominator of 61/2 and u.
78
Suppose a + 7 = l, a = 2*a - 3. Let y be 3/6*(-6)/(-3). Let n = y + 5. Calculate the smallest common multiple of n and l.
30
Suppose 0 = -2*d + 2*z + 6, 5*d - 2*z - 9 = -0*d. What is the smallest common multiple of d/(-4) - 231/(-28) and (-44)/(-6)*6/4?
88
Let z = -30 + 19. Let b = -193/400 - 2/25. Find the common denominator of 27/6*z/(-3) and b.
16
Let y(j) = -j**3 - 7*j**2 - 6*j + 5. Let h be y(-6). Let l be ((-1)/(-2))/(2/4). Let w = h + l. Calculate the lowest common multiple of w and 8.
24
Let u be 1889/(-12) + (-5)/15. Let g = -161 - u. Calculate the common denominator of -89/14 and g.
28
Let k = 83 - 3. Suppose -40 = -3*i + 3*o + 20, -2*o = 4*i - k. Suppose -5*u + 30 = -i. What is the lowest common multiple of 9 and u?
90
Let h(v) = 2*v**2 - 3*v + 2. Let l be h(2). Let n be 1 - 1 - l/(-1594). Let g = -56603/6376 + n. Calculate the common denominator of 3 and g.
8
Suppose 0 = 3*q - 4*y - 1 - 4, -20 = -5*y. Calculate the smallest common multiple of 8 and q.
56
Suppose 3 = 2*f - 5*o + 14, -f - 13 = -4*o. What is the smallest common multiple of f and 6?
42
Let q be (-3)/6 + 9628/660. Let y = q + -69/55. What is the common denominator of 12/11 and y?
66
What is the common denominator of 27/7 and (1/7)/(77/649)?
49
Let p = 16 - 32. Suppose -n + 8 = 3*n. What is the common denominator of -1 + n + (-23)/p and -71/16?
16
Suppose 0 = g + 2 - 12. What is the least common multiple of 28 and g?
140
What is the common denominator of (-740)/(-105) + 6/21 and 40?
3
Let f be (-3 - -7 - 1) + 1. Suppose -2 = -3*w + f. Calculate the least common multiple of w and 18.
18
Suppose -5 - 5 = -l. Let i be (4/3)/((-3)/(-9)). Suppose -l - 14 = -i*f. What is the least common multiple of f and 10?
30
Find the common denominator of -15/22 and (-35)/(-18)*33/21.
198
Suppose -6*a + 145 = -251. What is the least common multiple of 6 and a?
66
Calculate the common denominator of 79/8 and ((-8)/12)/((-40)/(-246)).
40
Suppose 2*x - 4*t = -0*x - 32, -x - 4*t = 22. What is the common denominator of (56/x)/(4/(-6)) and 1/2 + 99/4?
12
Suppose -2*i = -6*i + 32. Calculate the least common multiple of (36/3)/2 - 1 and i.
40
Suppose i + 2 = 5*g + 9, 4*g = -3*i + 2. Suppose i - 23 = -3*a. Calculate the lowest common multiple of (-10)/4*(-2 + 0) and a.
35
Suppose -2*y - 3*n = -3*y + 17, -y = -n - 11. Suppose -5*w + 38 = -12. What is the least common multiple of w and y?
40
Let n(c) = c**2 - 8*c. Let j(b) = 5*b**2 - 40*b + 1. Let r(d) = 2*j(d) - 11*n(d). Let o be r(8). What is the least common multiple of o + (-2 - -2) + 2 and 20?
20
Let h be 18/(-6) - (-33)/3. What is the least common multiple of 4 + (24 - h/(-4)) and 7?
210
Let t(k) = k**2 + k + 2. Suppose y - 3*i = -3, 2*y - i = -2 + 1. Suppose y = -2*v - 3 - 7. What is the least common multiple of t(v) and 6?
66
Let o(k) = -k**2 - 5*k + 5. Let x be o(-6). Let b be -3 - (-24)/(-2)*x. Suppose 0 = 4*g - 7 - b. What is the least common multiple of 6 and g?
12
Let t(b) = -b + 1. Suppose 3*z + 2*z = -30. Calculate the smallest common multiple of 10 and t(z).
70
Let v(n) = 4*n + 27. Calculate the smallest common multiple of 15 and v(-3).
15
Let j be (59*2)/(3/6). Let a be (-6)/(-12) + (-111)/j. Let v = 2275/118 - a. Calculate the common denominator of v and 21/2.
4
Let b = 1365562/71 + -19234. Let v = b - -6707/142. Calculate the common denominator of -85/16 and v.
16
Suppose 3*i - 2*n - 13 = -0*n, 0 = 2*n - 2. Suppose i*y + 9 - 34 = 0. Suppose -72 + 12 = -y*f. What is the smallest common multiple of f and 4?
12
Let p = 14 - 4. Let l be ((-15)/9)/((-1)/3). Let f(s) = -s**3 + 6*s**2 - s - 2. Calculate the smallest common multiple of p and f(l).
90
Let j = -64281601/58 - -1108339. Let x = -4494/29 + 154. Let u = x - j. Calculate the common denominator of -62/5 and u.
10
Let s be (0 - 2)*-1 + -52. Let w = -34 - s. Suppose -z + w = 4. Calculate the least common multiple of z and 22.
132
Let k be 1528/(-18) + 2 - 4. Let x = k - -1345/18. Let m = -9773/22 + 444. What is the common denominator of x and m?
66
Suppose -4*y + 4 = -2*u, 0 = -u - 4*y + 6 - 2. Suppose d - 2 + 0 = u. Calculate the common denominator of d + -2 + (-27)/22 and -49/4.
44
Let w be ((-28)/(-4) - 0)*-1. Suppose 5*o - 160 + 16 = 4*i, 2*i = o - 30. Find the common denominator of 3/11 and (w/7)/(3/o).
33
Find the common denominator of 277/30 + 8/48 and 17/10.
10
Let o = -79264/5 - -16301. Let w = -446 + o. Find the common denominator of w and 34/7.
35
Let d = -353182 + 54037057/153. Let n = d + -795950/577269. Let m = 37189/7546 + n. Calculate the common denominator of -7/18 and m.
126
Let u(l) be the first derivative of l**2/2 - 2*l - 3. Let m be u(4). Suppose -q = -4, m = n - 2*q - 10. Calculate 