 - 4*v**2 + 4*v. Let s = -3 + 4. What is the least common multiple of l(3) and s?
3
What is the common denominator of (-954)/(-140) - (-12)/42 and 65/12?
60
Let r be (4/515)/(31 - -3). Let b = r - -656617/35020. Calculate the common denominator of b and 2/5*98/4.
20
Let g(i) = i + 6. Let d be ((2 - 0) + -2)/2. What is the smallest common multiple of g(d) and 22?
66
Let g = 187 + -924/5. Find the common denominator of g and 31/8.
40
Let c(m) = -m - 1. Let b be c(7). Let g(r) = r**3 + 8*r**2 - 2*r - 12. Suppose 0 = -2*h + 3 + 19. What is the smallest common multiple of g(b) and h?
44
Let r = -19475 - -1168421/60. Calculate the common denominator of r and 1/30.
60
Suppose -12 = -q + 15. What is the lowest common multiple of 18 and q?
54
Suppose 2*x = 12 - 4. Suppose -w - 105 = 3*u, x*u - w = -31 - 116. Find the common denominator of 42/u*(-90)/28 and 13/10.
20
Let q = -1643 - -11528/7. Find the common denominator of -37/2 and q.
14
Let f(o) = 2*o**2 - 2*o + 2. Let p be f(-4). Find the common denominator of -79/12 and (-715)/28 + 12/p.
12
Let d(r) = -6*r - 3. Let x(l) = -3*l - 2. Let h be (-2)/(-11) + 114/(-22). Let f(v) = h*x(v) + 3*d(v). What is the lowest common multiple of f(-5) and 16?
16
Let z = 4/45 + 97/90. What is the common denominator of z and 47/2?
6
What is the common denominator of 20/112 - (-9)/6 and -53/22?
308
Suppose 2*m = 4*m + 8. What is the common denominator of 42/5 and ((-1)/3)/((-2)/m)?
15
Let i(b) be the third derivative of 0 - 2*b**2 + 1/12*b**4 + 1/3*b**3 + 0*b + 1/10*b**5. Calculate the least common multiple of i(-2) and 8.
88
Let f be ((-39)/24)/((-3)/(-44)). Let s = 3/2 + f. Calculate the common denominator of -64/3 and s.
3
Let o(s) = s**3 + 5*s**2 + 3*s - 2. Let d be o(-4). Suppose -5*l + i = -i - 15, -23 = 2*l + 5*i. What is the lowest common multiple of 4 and d - l - (-8)/1?
36
Let c be (1/184)/(219/(-638164)). Let j = 6/1679 + c. Calculate the common denominator of -41/8 and j.
24
Suppose 0 = -b + 2*a - 3, -3*a + 7 = -2. Let c(w) = -w**2 + 6*w - 1. Let h(m) = m**2. Calculate the smallest common multiple of h(4) and c(b).
16
Let t be 12/(-30) + 12/5. Suppose 4*u = 3*q - 5, q = 4*u + t - 3. Suppose 8 = q*w + 2. Calculate the least common multiple of 6 and w.
6
Let a be 3/((-9)/(-6) - 0). Suppose 0*x - x = a. Let q(d) = 2*d**2 - 3*d - 3. What is the lowest common multiple of 7 and q(x)?
77
Let j = 3658/7 + -132535/252. What is the common denominator of (-33)/22 - 64/(-22) and j?
396
Let g = 1031/3 + -321. What is the common denominator of -37/27 and g?
27
Suppose 2*x = -2*x + 32. Find the common denominator of 51/20 and (-94)/x*(-2)/3.
60
Let h = 187/344 - 276/43. What is the common denominator of (-682)/(-14) - (-4)/14 and h?
8
Let i be -2 + 1 + 0 + -1. Let g = i + 7. Suppose 4*n - 53 = -g*h - 0*h, -4*h + 6 = -2*n. Calculate the lowest common multiple of 6 and n.
42
Calculate the lowest common multiple of (-9)/((-9)/2) - (-11 - -1) and 6.
12
Let l = 1253 - 6244/5. Let t = 51785581/10 + -5184123. Let s = t + 5572. Find the common denominator of l and s.
10
Let u = 59 + -57. What is the lowest common multiple of 14 and u?
14
Let p = -43 - -61. Suppose 8*d - 3*d + 4*a = 118, -5*d + 4*a = -102. What is the smallest common multiple of p and d?
198
Suppose 0 = -13*r + 16*r - 33. What is the lowest common multiple of r and 10?
110
Suppose -17 - 10 = -9*y. What is the lowest common multiple of y and 32?
96
Let b(m) = m**3 - 6*m**2 + 7*m + 4. Calculate the lowest common multiple of 8 and b(6).
184
Let q(y) = -y**2 - 6*y + 8. Let g = 0 - -3. Suppose 4*w - 23 = g*j + 2*j, 1 = -j + 2*w. What is the lowest common multiple of q(j) and 11?
11
Let z(d) = -3*d**2 + 6*d - 8. Let i be z(6). Calculate the common denominator of -27/16 and (-2 - 204/i)*7.
80
Let i(t) be the second derivative of -t**5/20 + 3*t**4/4 - t**3/6 + 5*t**2 - t. Let m be i(7). Calculate the common denominator of -1 - m*2/(-20) and -9/11.
110
Let k be (18/15)/((-1)/5). Let f be -1 - (k + (-6)/(-2)). Let b(q) = 2*q**2 - 2*q + 1. What is the smallest common multiple of 8 and b(f)?
40
Suppose 10 = 2*c - 4*q, -2*q + 1 + 4 = c. Suppose 5*d = -5, -5*y + 4*d = -19 + c. What is the least common multiple of 4 and -1 + -1 + y + 8?
8
Let p = -390/1613 - -597151/154848. Let m = -9/32 + p. Let h = -6703/178 - -14/89. Calculate the common denominator of h and m.
6
Suppose 0*k + 2*k - 40 = -3*a, 0 = a + 3*k - 11. Calculate the least common multiple of (-3 + 14/2)*2 and a.
56
Suppose 0 = -d + 6*d - 160. Let i = -2/357 - 1061/1785. What is the common denominator of d and i?
5
Suppose f - 5*b = 45, 5*f = -b - 2*b + 141. What is the least common multiple of f and 18?
90
Let d = -126 + 134. Calculate the smallest common multiple of d and 11.
88
Find the common denominator of ((-205)/(-15) - 1)/(4*1) and -73/8.
24
Let c(o) = o + 2. Let s be c(-5). Let v = 5 + s. What is the least common multiple of (4/14 - 192/(-63))*6 and v?
20
Let g = 4/47 - -2287/188. Let n = 97 - 259/2. Let o = n - -267/10. Calculate the common denominator of g and o.
20
Suppose 5*r + 5 = -5. Calculate the common denominator of -61/10 and (r + (-11)/(-7))*13.
70
Let l be (-1 + 79)*1/3. Suppose 0 = 4*r - 3*z - 30, r = -r - 4*z + l. Suppose 41 = 4*v - g, -g - 20 = 3*g. Calculate the smallest common multiple of r and v.
9
Let g = -6 + 4. Suppose -3*u = 3*j - 75, 5*j + 55 = 4*u - 0*j. Calculate the smallest common multiple of -6*(-1 - 0) - g and u.
40
Calculate the common denominator of (-22)/77 - 1258/56 and (-69*1)/(10*1).
20
Let z(d) = -5*d**3 - d**2 + 4*d**3 + 0*d**2. What is the lowest common multiple of 10 - (0 - (0 - 0)) and z(-2)?
20
Let g(a) = -a**3 + 2*a**2 - 2*a + 2. Let l be g(2). Calculate the common denominator of (-71)/10 - l - 1 and -27/2.
10
Let s = 2498 - 27631/11. Let l = s - -1106/55. Find the common denominator of l and -11/5.
5
Let m = -367933/47 + 7829. Let x = m - -5711/846. Calculate the common denominator of -93/8 and x.
72
Let z(j) = -4*j - 2. Calculate the lowest common multiple of 3 and z(-2).
6
Let w(p) = 3*p - 4. Let h be w(3). Suppose -4 = h*v + 1. What is the lowest common multiple of 3 and 1 + (0 - (v - 2))?
12
Let i = 13 + -11. Suppose 18 = 4*b + i. What is the lowest common multiple of b and 6?
12
Let y = -3896 - -19419/5. Let v = -108 - -246. Calculate the common denominator of y and 3/(4 + v/(-38)).
35
Calculate the common denominator of 51/32 and (-5 + (-91)/(-21))/(16/90).
32
Let s = 30 + -12. Suppose 27*b - 38*b = -66. What is the least common multiple of b and s?
18
Let w = -14987 + 719459/48. Calculate the common denominator of w and -47/2.
48
Suppose 0 = -5*m + 111 - 21. Calculate the least common multiple of 120 and m.
360
Let p(w) = w**3 - 3*w - 1. Let g be p(-2). Calculate the common denominator of 3 - ((-9)/15 - g) and -31/6.
30
Let q(s) = -3*s - 3. Let l(d) = -d**2 + 8*d + 2. Let b be l(7). What is the common denominator of q(b) and 24/5?
5
Suppose 0 = -5*a - 0*a - 175. Calculate the common denominator of 10/a + (-211)/21 and -47/8.
24
Let p(r) = -r**3 - 3*r**2 + 6*r - 5. Let a be p(-5). Suppose 2*o + 10 = y - 0, -a = -3*o. Calculate the common denominator of y and (62 + 1)*4/(-66).
11
Let w(t) = -3*t - 6. Let p(d) = -4*d - 5. Let r(n) = -n**2 + 2*n. Let f be r(3). What is the least common multiple of p(f) and w(-5)?
63
What is the common denominator of 4/22 + 2 - -1 and 81/10?
110
Let d = -51/349 - -57993/2792. Let a = -29 + d. Calculate the common denominator of a and (-428)/(-6)*(-3)/12.
24
Let u = 29 + -21. What is the common denominator of 3 + 1 + (-29)/u and 56/5?
40
Let i(c) = -c**2 - 6*c - 5. Suppose -5*h = 3 - 8. What is the least common multiple of i(-4) and h?
3
Suppose 12 = -3*z - 3*n, -4*z - 2*n = n + 17. Find the common denominator of (108/(-22))/((-12)/8) and z.
11
Calculate the common denominator of 85/18 and 1/(-6)*(-219)/(-12).
72
Let j = 1537/9 - 174. What is the common denominator of j and -47/9?
9
Let d be 12/(-3)*5/9. Let u = 25/72 + d. Calculate the common denominator of u and 3/14.
56
Let t = 114 - 80. Find the common denominator of ((-74)/6)/((-4)/(-8)) and (t/3)/(0 - -1).
3
Let p = 19373/18 + -3241/3. What is the common denominator of p and 73/12?
36
Let r(c) = -3*c - 8. Let q be r(-6). Find the common denominator of 9/8 and 2/q + (-1431)