-q**3 + 14*q**2 - 14*q + 15. Let p be k(13). Let c be p/6 - (-795)/(-9). What is the common denominator of (-8)/(-28) + c/63 and 4/3?
9
Let d be ((-692)/(-74))/(16/(-26)). Let z = d - 224/37. Calculate the common denominator of (-404)/24*1*-3 and z.
4
Find the common denominator of (-4)/10 - 2836/360 and 1/10.
90
Suppose o + 2*n = -4, 5*o - 7 - 8 = -3*n. What is the common denominator of 21/35*53/o and 27/8?
40
What is the common denominator of ((-2)/(-8))/((-39)/(-2522)) and -123/80?
240
Suppose -k + 3*v + 210 = 0, 4*k + 208 = 5*k - 2*v. Let b = k - 2191/11. Find the common denominator of 13/7 and b.
77
Let z(i) = 0*i - 3*i + 4*i + 58*i**2. Let k be z(1). Suppose -d = 5*u - k, 4*u + 0*d - 32 = 3*d. Calculate the lowest common multiple of 2 and u.
22
Let f be (-4)/6 - 4823/(-7140). Let z = 859/1020 - f. What is the common denominator of z and 92/18 + 3/9?
18
Let i = 148376 - 5342555/36. Let x = i + 59/9. What is the common denominator of x and -23/2?
4
Let t = 147145/874 + -3822/23. Calculate the common denominator of 91/8 and t.
152
Let c(r) = r**3 - r**2 + r - 1. Let k be c(0). Let x be -1*((-85)/(-1) - -2). Calculate the common denominator of (k - 0) + x/60 and 9/4.
20
Suppose 19 = 5*s + 3*a - 8, 3*a = 4*s. What is the common denominator of 46/9 and s/(-48)*62*-3?
72
What is the common denominator of (81/(-21) + -3)/((-6)/4) and 6/7?
7
Suppose 5*f - 26 = 3*f. Let z = -7 + f. What is the lowest common multiple of 16 and z?
48
Let k(l) = l**2 + 4*l - 3. Let g = 1 + -2. What is the lowest common multiple of k(2) and 1 + (1 - g) + 1?
36
Let q(f) be the second derivative of -1/6*f**3 + 0 + 3*f**2 + 2*f - 1/12*f**4. Calculate the lowest common multiple of 20 and q(0).
60
Let k = -1703 - -8557/5. Let v = 6/443 - -22132/1329. Find the common denominator of v and k.
15
Let i = 4 - -4. Let k = i - 4. Calculate the lowest common multiple of 14 and k.
28
Let f = 16391/1476 + -8/369. Calculate the common denominator of 113/6 and f.
12
Let x = -2863/10 - -288. Find the common denominator of x and 19/4.
20
Suppose 0 = 2*d + 3 - 7. What is the least common multiple of 22 and d?
22
Suppose 21*d - 19*d = 6. Let a(l) = -2*l. Calculate the lowest common multiple of a(-5) and d.
30
Let y = 1 + -4. Find the common denominator of -85/4 and 21/9*y/(-22).
44
Suppose -4*u = 2*c - 38, -4*c - u = -0*c - 55. Let o(j) = -j + 17. What is the least common multiple of o(c) and 8?
8
Let g be 0 + -1 - 1083/(-69). Let i = g - 5887/230. Calculate the common denominator of -79/22 and i.
110
What is the lowest common multiple of 27 and 37/2 - (-70)/28?
189
Let d = 6/101 + -9001/202. Calculate the common denominator of (39/(-4))/((-9)/(-2)) and d.
6
Let p be (-6)/10 - (-585726)/32760. Let k = p - 8/273. Calculate the common denominator of -115/18 and k.
36
Let j(m) = -m**2 + 5*m + 3. Suppose -19 - 17 = -4*i. What is the lowest common multiple of j(5) and i?
9
Let v(g) = 6*g**3 + 5*g**2 - g + 5. Let x be v(4). Suppose 0*m - x = m. Let b = m - -2373/5. What is the common denominator of b and 36/5?
5
What is the common denominator of ((-2)/20)/(6/308) and -74/15?
15
What is the common denominator of (-1)/(3 + (-1398)/486) and -19/15?
30
Let q = 72 + -48. Suppose f = 4*g + q, -2*f - g + 5 + 7 = 0. Calculate the smallest common multiple of 10 and f.
40
Let l = -7039748516/331067 - -233902/11. Let x = 1715569/601940 + l. Calculate the common denominator of x and 13/48.
240
Calculate the smallest common multiple of 10 and (-4)/18 + 2164/18.
120
Let g be -16*1*1/2. What is the least common multiple of 12 and (3 - (-1 - -6))*g?
48
Suppose -x - 23 = -2*g, g - 4 = -x + 3. Let z = -14 + g. Calculate the common denominator of -63/16 and (-249)/(-12)*z/(-22).
176
Let y(v) = 4*v - 3. Let t be y(3). What is the common denominator of 2 - (-22)/t*3 and 101/10?
30
Let f = -6957/8 - -1745/2. What is the common denominator of f and -79/18?
72
Let m = 11 + -10. Suppose -g + 1 = -m. Calculate the lowest common multiple of g and 9.
18
Let i(s) = s**3 + 4*s**2 + 1. Let f = -8 + 10. Calculate the lowest common multiple of f and i(-3).
10
Let c(f) = -f**2 - f + 4. Let x be c(-3). Let a = -4 + x. Calculate the common denominator of -143/6 and 36/(-8) - (-2)/a.
6
Let p = -55 - -61. Calculate the lowest common multiple of p and 15.
30
Let u be 3 + 1 + 2 - 3. Suppose p = -2*p + 24. What is the smallest common multiple of 18/u*(-10)/(-6) and p?
40
Let y be 2 + -1 + 278/30. Let q = 463/30 - y. What is the common denominator of q and 73/8?
24
Calculate the smallest common multiple of 10 and (0 + -1)*-38*1.
190
Suppose 2*r + 3*r = -30. Find the common denominator of (-75)/126 + r/(-14) and -2 - (-218)/12 - 0.
6
Let f(s) be the first derivative of -s**2/2 - 2*s - 3. Calculate the least common multiple of f(-5) and 1.
3
Let o = -2 - -3. Find the common denominator of o/(-2) - (-171)/(-24) and 89/14.
56
Let l(c) = -c**2 - 7*c - 5. Let a(n) = -7*n + 1. Let f be a(-4). Suppose -f = -2*p - 9. What is the least common multiple of l(-4) and p?
70
Suppose -70 + 200 = 5*n - 5*a, 86 = 3*n - 5*a. What is the least common multiple of n and 6?
66
Let o = 1623 + -4942/3. Find the common denominator of -47/7 and o.
21
Let g = -5/22 - 601/66. Calculate the common denominator of g and -58/21.
21
What is the lowest common multiple of 1 and 10 + (-6)/2 + 3?
10
Suppose 0 = -4*v + 5*v + 168. Let q be (-4)/(v/(-58)) - -1. Let r = q - 145/42. What is the common denominator of 67/6 and r?
6
Find the common denominator of 34/(-5)*(-175)/(-56) and 99/4.
4
Let m be 2/(-4)*6/3. Find the common denominator of ((-213)/(-24))/(m/(-4)) and -49/4.
4
Let d = 2 + 2. Let h = -16 - -10. Let a = 9 + h. What is the least common multiple of d and a?
12
Suppose -5*y - 5*b = -95, 0 = 4*y - 0*b - b - 91. What is the least common multiple of 2 and y?
22
Let k(n) = n**2 + 5*n. Let u be k(-5). Let o(f) = f + 16. What is the smallest common multiple of o(u) and 6?
48
Let b(i) = i**3 - 12*i**2 + 11*i + 8. Let a be b(11). What is the common denominator of 4 + -6 - (-146)/a and 34/9?
36
Suppose 0 = 2*j - 3*c + 5, -2*j - 2*j + c + 5 = 0. Find the common denominator of 87/(-180) - j/(-6) and -139/12.
60
Let o(y) = 2*y**2 + 5*y - 2*y + 2*y**3 - 3*y**3 - 3. Let l be o(2). Let a(c) = -c**2 + 4*c + 1. What is the lowest common multiple of a(l) and 10?
20
Let w = 1 - -1. Suppose -5*x = 2*y + y - 1, 5*y - w*x - 12 = 0. Suppose 3*f + u - 14 = -y*f, -f + 2*u = 6. What is the lowest common multiple of f and 1?
2
Suppose 2*b + 16 - 40 = 0. What is the lowest common multiple of b and 33?
132
Let c be 9854/(-9848) - (3 - 4). Let h = c + 334859/44316. Find the common denominator of -1/10 and h.
90
Let z = -911 + 11837/13. Find the common denominator of z and -19/9.
117
Let v = -846 + 1406. What is the common denominator of ((-21)/v)/((-2)/104) and ((-2)/20)/((-12)/(-830))?
60
Let h(a) = -a**3 - 5*a**2 - 6*a - 3. Let j be h(-4). Suppose -j*i + 65 = 20. Let y = 251 + -249. What is the smallest common multiple of i and y?
18
Let z(r) = -5 - 6*r - 3*r**2 + 4*r**2 + 2. What is the least common multiple of 6 and z(7)?
12
Let q = 8 + 14. Calculate the common denominator of -29/16 and (45/25)/(q/5).
176
Let d = -12 + 6. Let h be 3/1 - (3 - -20). Let w = d - h. What is the least common multiple of 6 and w?
42
Let c = -30079/10 + 3013. Let g = -217229 + 1318715/6. Let d = -2581 + g. Calculate the common denominator of d and c.
30
Calculate the common denominator of 23/4 and 44/110 + (-611)/90.
36
Calculate the smallest common multiple of (-10)/50 - (-111)/5 and 6.
66
Suppose -3*z = -20 - 25. What is the least common multiple of z and 2?
30
Let o = 62 - 40. What is the lowest common multiple of o and 14?
154
Suppose 3*o + 0*o - 39 = 0. Suppose -5*i = -97 - o. What is the smallest common multiple of 20 and i?
220
Let s(d) = -177*d**2 + 2*d + 3. Let z be s(-1). What is the common denominator of z/(-20) + -3 + 1 and -46/9?
45
Let i = -73/38 + -563/152. Find the common denominator of -25/6 and i.
24
Suppose 3*g = -5*y + 28, 4*g = -2*y + 5*y - 11. What is the lowest common multiple of g and 6?
6
Suppose 0*p + p + 1 = 0. Find the common denominator of p + (405/22)/5 and -31/12.
132
Let p = -7143 + 114373/16. Let g = 46/3 + -745/48. Calculate the common denominator of g and p.
16
Let i = -41