y**2 + 6*y - 6. Let k be m(6). Find the common denominator of (-6)/21 + k/(-140) and 39/4.
20
Let x(z) = -z**2 + 10*z - 17. Let v be x(7). Let y = 18899/11 - 1715. What is the common denominator of y and (146/v)/(9 + -5)?
88
Let g = 4867/4 - 1198. Calculate the common denominator of 219/36 + -1 + 1 and g.
12
Let b = -886997 - -12423727/14. Let y = 2906/7 - b. What is the common denominator of y and 3 + -1 + 214/(-32)?
112
Calculate the common denominator of ((-6)/(-15))/(24/218) and 2/5 + (-1203)/270.
90
Let q(f) = f**2 + 2*f + 7. Calculate the lowest common multiple of 4 and q(-3).
20
Let h = 9 + -5. Let m be (h + -1)/((-738)/732). Let d = -5443/410 - m. Calculate the common denominator of 57/5 and d.
10
Let x be 3 + (2*-1)/2. Suppose -x*t = -4, h = -4*t - 0*t - 14878. Let l = h - -238265/16. Find the common denominator of l and -107/20.
80
Let u = -34949/2220 - 4/555. Calculate the common denominator of u and 2/(-4) - 98/8.
4
Let x(c) = -c**2 + 7*c - 10. Calculate the smallest common multiple of 4 and x(4).
4
Calculate the smallest common multiple of 1*2/(-8) + 847/28 and 10.
30
Let b(u) = 1 - 3 + 0 - 8*u. What is the lowest common multiple of b(-3) and 16?
176
Let c = -3851/28968 - -1/1704. Let d = -18685/1173 - -56/69. Let v = d + c. Calculate the common denominator of v and 1/18.
36
Let r(t) = 2*t**2 + 4*t + 2. Let m(o) = 3*o**2 - 1. Let p be m(-1). Let g = p - 5. Calculate the smallest common multiple of 2 and r(g).
8
Let t(o) = o**3 + 6*o**2 + 5*o + 4. Let g be t(-5). Suppose 7*y + 15 = g*y, 0 = 2*b - 4*y - 52. Calculate the smallest common multiple of 12 and b.
48
Suppose -h - 4 = -2*h. Calculate the smallest common multiple of 2 and h.
4
Let t = 4 + -5. Find the common denominator of -63/2 and 3/(-1)*t/(-10).
10
Let a = 94/2219 - -5733426/11095. Let j = a + -1041/2. Calculate the common denominator of (-105)/6 - 1/4 and j.
20
Let f = 34154 - 133837/4. Let t = f - 701. Find the common denominator of 63/4 and t.
4
Let p = -516/91 - 243485/182. Let i = 1299 + p. What is the common denominator of i and -47/4?
4
Let c be (-1 - 2)/3 + -46. Let v = -27 - c. What is the smallest common multiple of v and 8?
40
Let d(o) = -o - 4*o - 7 + 8. What is the lowest common multiple of d(-3) and 6?
48
Let m = 0 - -2. What is the common denominator of 59/5 and (249/(-18) - 2) + m?
30
Let o = 1/57028 + 21499441/6558220. Let m = o + 1/46. Find the common denominator of -83/4 and m.
20
Suppose -1 = -3*h + 2*k + 5, -3*h + 4*k = 0. Let o(g) = -2*g - 4. Let y = 4 + -9. What is the lowest common multiple of o(y) and h?
12
Let n = 2470 - 49417/20. Let a be ((-3)/2)/(3/40). What is the common denominator of 7/a - (2 + -1) and n?
20
Let f be ((-32)/(-24))/((-2)/6). Find the common denominator of 37/2 and (4/(-11))/f*9.
22
Let s(r) = -4*r**2 - 12*r - 12. Let m(a) = 5*a**2 + 12*a + 12. Let g(d) = 3*m(d) + 4*s(d). Calculate the lowest common multiple of 3 and g(-10).
24
Let w = -89 - -94. Suppose -b + 134 = 4*b - c, b - 30 = -3*c. Suppose -b = -5*q + 2*h, 14 = q - 5*h + 4. Calculate the lowest common multiple of q and w.
5
Suppose -5*w - t = 4*t - 30, -w + 10 = 3*t. What is the least common multiple of w and 28?
28
Let h(d) = 12*d**2. Suppose -3*v + 5*g = -23, 15 = -5*g - 5. Suppose -2 = -3*z + i - v, -15 = -3*i. What is the least common multiple of z and h(-1)?
12
Suppose -4*g = -3*a - 91, 3*a = -5*g - 0*g + 107. Calculate the lowest common multiple of g and 16.
176
Let j = -2456 - -54103/22. What is the common denominator of 73/26 and j?
286
Let o(v) = 175*v**3 + 2*v**2 + 2*v + 3. Let t be o(-2). Let s be 2/6 + (-100059)/72. Let i = s - t. Calculate the common denominator of i and -59/8.
8
Let c be (4 - 1 - 6)*1. What is the common denominator of (-58)/(-8)*(-4)/9 and c - -6 - (-69)/12?
36
Let h = 292009/24 + -12165. Find the common denominator of h and -19/54.
216
Suppose 0 = -i - 4*i + 15. Suppose i*v + 43 = -53. Calculate the common denominator of v and -67/4.
4
Let h = -693 + 2753/4. What is the common denominator of (-1857)/156 + -4 - 2/(-13) and h?
4
Let m(r) be the second derivative of r**3/6 + 2*r. Calculate the least common multiple of m(4) and 16.
16
Suppose -3*u - 27026 = -5*j, 2*u = -5 + 1. Let o = -86505/16 + j. Let b = 267041/85140 + -1/7740. What is the common denominator of o and b?
176
Suppose 42 + 6 = 4*w. What is the lowest common multiple of 62 and w?
372
Let p(j) = 2*j**2 + 12*j + 9. What is the smallest common multiple of p(-7) and 11?
253
Calculate the common denominator of (-43)/10 + 4/5 and 93/14.
14
What is the lowest common multiple of 12 and (1 + (-9)/7)*-119?
204
Let g = 48 + -43. Let i(f) = -2*f - 6. What is the least common multiple of i(-5) and g?
20
Let p(t) be the third derivative of 8359*t**4/24 + t**3/3 - 3*t**2. Let j be p(2). Let y = 234195/14 - j. Find the common denominator of -25/16 and y.
112
Let g(k) = 6*k**2 + k. Let p be g(-1). Suppose p*m = -2*w + 12, 4*w + 13 = -2*m + 5. What is the lowest common multiple of 2 and m?
4
Suppose -2*m = a + m - 8, -4*m + 8 = 0. Suppose -4*n + s = 4*s - 36, -s = 3*n - 27. Calculate the least common multiple of a and n.
18
Find the common denominator of (6 + -3)*17/18 and 3 - (-38)/16*-3.
24
Calculate the least common multiple of 4 and 332/12 - (-4)/12.
28
Let c be 1 + 755*6 + 0. Let p = c + -54511/12. Find the common denominator of p and (-2)/(-1 - 9)*3390/(-72).
12
Find the common denominator of 1/11 and 12/(-192)*(-139 + 1).
88
What is the least common multiple of 343/28 - 2/8 and 4?
12
Calculate the smallest common multiple of 36/30*15/2 and (1*-3 - -2) + 2.
9
Let q = 109/132 + -11/12. Let w = 27/25 + 1163/150. What is the common denominator of w and q?
66
Let w = -477/5 + 3247/30. What is the common denominator of w and -25/2?
6
Let r = -38163/8036 + -2/2009. Let t = -2563 - -5027/2. Find the common denominator of t and r.
4
Let g(w) = -w**2 - 18*w - 56. Calculate the smallest common multiple of g(-12) and 32.
32
Let q(k) = -5*k - 37. Calculate the smallest common multiple of 24 and q(-11).
72
Let r(k) = k**3 - 2*k**2 - 3*k - 2. Let v be r(3). Calculate the common denominator of 8/3 and 1/(-32)*v*-78.
24
Let z(i) = i**2 + 10*i + 8. Let o be z(-12). Calculate the common denominator of (-1560)/o*2/(-6) and -79/6.
12
Let h = 1/4592 + 231893/13776. Let a = -119 - -346/3. What is the common denominator of a and h?
6
Calculate the least common multiple of 4 and (-1)/(-4) + ((-105)/(-12) - -2).
44
Suppose 5*t = 4 + 16. Let p(h) = 2*h + 4. Suppose -2*q + 18 + 18 = -4*u, -2*q + 41 = -5*u. What is the least common multiple of p(t) and q?
24
Find the common denominator of (-47)/9 + 5 + 163/(-198) and -3 - ((-285)/(-42) - 2).
154
Let c(j) = -j - 1. What is the least common multiple of 3 and c(-6)?
15
Let x be 4/18 + 4/(-18). Let h be (1 - (x - 1))*2. Let u(l) = l**3 - 7*l**2 + 3*l. Find the common denominator of u(h) and 28/9.
9
Let n be 3/6*-2 + -1. Suppose -4*j + 2*c = -j - 23, 5*j - c = 43. What is the smallest common multiple of j and 0/2 + n + 4?
18
Let n be (-1 + 10/11)*7727. Let l = 703 + n. Calculate the common denominator of l and ((-426)/(-8))/(3/2).
22
Suppose 3*l - 10 = 4*f, 5*l + 3*f = 2*f - 14. Calculate the common denominator of (-155)/(-12) - 2/6 and 198/(-28) + 1 + l.
84
Suppose -m - 2*m = 204. Let f = 44 + m. Calculate the common denominator of 9/(-5)*2/f and 21/8.
40
Suppose 4 = -4*i + 24. Suppose 4*q - 32 = z + 4*z, -i*z + 16 = 2*q. Calculate the lowest common multiple of 12 and q.
24
Let y(t) = t**3 + 8*t**2 - 9*t. Let d be y(-9). Let o = 9 + d. Calculate the smallest common multiple of o and 10.
90
Let c = 3317 - 23267/7. Suppose -7 = -t - 3*w, -2 - 4 = -3*t - 4*w. What is the common denominator of c and t/(-3) - (-219)/90?
70
Suppose 0 = 2*z - 5*c + c - 72, -4*c - 32 = -z. What is the smallest common multiple of 4 and z?
40
Suppose 3 = 3*b, -2*c + 25 = b - 6*b. Calculate the lowest common multiple of 18 and (20/c)/(4/54).
18
Let o = -11088 - -199511/18. Calculate the common denominator of 119/6 and o.
18
Let j = -11251/8 + 1413. Calculate the common denominator of -41/9 and j.
72
Calculate the common denominator of -30/53 and 17/((-748)/168) + 0.
583
Let f(t) = t**2 + 7*t - 8. Let c be f(-8). Suppose 49 = 4*w + 5*b, c = -3*w - 0*w - 4*b + 38. Calculate the smallest comm