*b - 3 + o*b. What is the least common multiple of 1 and f(8)?
7
Let f = 403 - 8063/20. Find the common denominator of (-435)/70 - (1 + 0) and f.
140
Let f = -8 + 11. Suppose 2*v + v = -5*u + 20, -2*u - 14 = -v. What is the lowest common multiple of v and f?
30
Let v = -5/607 - -54063/4856. Find the common denominator of 27/13 and v.
104
Let s(f) = f**3 - 8*f**2 - f - 3. Let l be s(8). Let k(z) = -z**3 - 10*z**2 + 10*z + 11. Calculate the smallest common multiple of k(l) and (-20)/(1*(-1 + 0)).
220
Let s = -10862 + 239011/22. Let t = 214 + -1271/6. Find the common denominator of t and s.
66
Let b = 66562/21 - 3171. Find the common denominator of b and 52/15.
105
Let t = 2 + 13. Calculate the common denominator of (-1125)/(-132)*6/t and 107/18.
198
Calculate the common denominator of 511/24*42/147 and 91/2.
12
Let i = -157/6 - -26. Let q be (-342)/(-184)*28088/5424. Let d = -1/5198 + q. Calculate the common denominator of d and i.
24
Let t = -21 + 35. Calculate the least common multiple of 20 and t.
140
Let j = 2062 + -962. Let z = 6451/6 - j. Calculate the common denominator of (-2)/(-8) + (-15)/(-36) and z.
6
Let d = 7840 - 172445/22. What is the common denominator of -79/32 and d?
352
Suppose 2*f = 3*f - 2610. Suppose -c - c = f. Calculate the common denominator of 83/18 and 0 - (c/(-66))/(-5).
198
Let d = -1 + -1. Let h(b) = -5*b. Let g be h(d). Suppose -4*y - g = -5*y. What is the smallest common multiple of 20 and y?
20
Let q = 2026 + -3955/2. Let u = 145777/22 - 6622. Calculate the common denominator of q and u.
22
Let y = -9709 + 174649/18. Find the common denominator of 249/2*1/24 and y.
144
Let n = -82/29 - -2004/319. Calculate the common denominator of n and -27/2.
22
Let q = 2 - 0. Suppose 0 = o - 4*t - 2, -2*o + 2*t + 8 = -q*t. What is the smallest common multiple of o and 4?
12
Suppose 15 = d + 4*a - 6, -36 = -4*d - 4*a. Suppose -9 - d = -2*z. What is the least common multiple of z and 1?
7
Let q(p) = p**3 + 3*p**2 - 5*p + 3. Let l be q(-5). Let o = l + 42. What is the least common multiple of (-66)/(-2)*(-2)/(-3) and o?
220
Let i(c) = c**2 - 5*c + 5. What is the least common multiple of i(4) and 4?
4
Let r(m) = 2*m**2 + m - 2. Let b be -1 + (-6)/(-3) + 1. Suppose 0 = -4*c + 78 + 10. What is the lowest common multiple of c and r(b)?
88
Suppose 2*m - 25 = 3*x, 2*x + 32 = 2*m + 2. Suppose 12 = 6*a - 4*a. What is the smallest common multiple of m and a?
60
Let v(i) = i - 3. Let a be v(5). What is the least common multiple of 4 - (a + -2 + -2) and 8?
24
Let l = 12 - 7. Calculate the common denominator of -39/8 and 331/(-40) + 2/l.
8
Suppose 7*o - 2*o - 90 = 0. What is the smallest common multiple of 4 and o?
36
Let i(a) = -2*a + 7. Let k be 5*((4 - 3) + -2). Calculate the common denominator of i(k) and -29/4.
4
Suppose -5*y + 56 = 2*f, 32 = 2*y - 4*f + 8*f. What is the least common multiple of 55 and y?
110
Let u(a) = a**2 - 5*a + 12. What is the lowest common multiple of 30 and u(0)?
60
Calculate the common denominator of 47/4 and (-9)/(-3) + 52/(-120).
60
Suppose 3*d = -2*s + 12, 0 = 5*d + 20. Calculate the lowest common multiple of s and 18.
36
Suppose 2*a = -13 + 21. What is the least common multiple of a and 2?
4
Suppose 4*y - 45 = 35. Let p(c) = 5*c. Let b be p(1). Suppose -66 = -b*w + 2*w. What is the least common multiple of y and w?
220
Let j = -13 + 20. Let y(a) = a**2 + 4*a + 5. Let z = 10 + -15. Calculate the lowest common multiple of j and y(z).
70
Let y be 4/((-12)/(-9))*-5. Let m = -11 - y. Let q = -10 + 19. What is the least common multiple of m and q?
36
Let x(u) = 9 - 443*u - 44*u - 5*u + 48*u. Let v be x(9). Let t = v + 43814/11. Calculate the common denominator of t and 37/3.
33
Suppose 0 = 10*a - 15*a + 55. Calculate the smallest common multiple of 1 and a.
11
Let y = 2457 - 912. Calculate the common denominator of y/(-18)*(-4)/60 and 27/14.
126
Let c = 20737/6 - 3465. Calculate the common denominator of c and -29/2.
6
Suppose -10 = -u - 2*z, 0*z - 45 = -4*u - 3*z. Suppose 4*w = 2*w - u. Calculate the common denominator of (122/w)/(24/(-9)) and -53/16.
16
Let t(i) = 4*i - 46. What is the smallest common multiple of t(14) and 48?
240
Calculate the common denominator of 13/14 and (2 + 35)/(-4 - 2).
42
Let o(l) = 6*l**2 - 1. Let c be o(1). Suppose 0 = c*u - 2*u - 24. Calculate the smallest common multiple of 10 and u.
40
Suppose 2 = -4*p + 66. Let y(t) = t**3 + 19*t**2 - 20*t + 6. Calculate the least common multiple of y(-20) and p.
48
Let y(s) = 7*s**2. Calculate the lowest common multiple of y(1) and 6/15 - 106/(-10).
77
Suppose 0 = -8*t + 77 + 27. Suppose 0 = -r + 2*r - 3*w - t, -4*w = -4*r + 60. Let i = 66 + -44. What is the least common multiple of i and r?
176
Suppose 10 = 7*c - 2*c. What is the least common multiple of 20 and c?
20
Let c = 821/1420 + -2/71. Let t = -3436 - -75665/22. Calculate the common denominator of t and c.
220
Let r(i) = 4*i**3 - 2*i + 2. Calculate the smallest common multiple of 3 and r(1).
12
Let j(n) = n**2 - 8*n + 5. Calculate the lowest common multiple of 6 and j(9).
42
Let q be -1 - 2*(-1312)/4. Let r = -57/415 - 509921/830. Let p = q + r. Find the common denominator of p and 53/14.
14
Let m be (-34)/(-9) + (-4)/(-18). Let d be (-2)/10 - m/(-20). Suppose d*a - a + 12 = 0. What is the least common multiple of 12 and a?
12
Let k(j) be the first derivative of -j**4/4 + 11*j**3/3 + 10*j + 5. Calculate the lowest common multiple of k(11) and 3.
30
Suppose 15 = 5*i, o + 75 = -o + i. Let t = 31187/11020 - -11/551. What is the common denominator of t and (-16 - 1)/(o/10)?
180
Let s = -16 - -26. Suppose 4*y - 14 = -5*z + 3*z, -3*y = 4*z - 18. Calculate the smallest common multiple of (-6)/z + 12*1 and s.
10
Let p = -135/7 - -1366/77. What is the common denominator of 655/60*(0 + -2) and p?
66
Suppose -4*j - r = 636, 2*j + 296 = -0*j + 5*r. What is the common denominator of j/16*2/(-4) and 150/(-16) + (-1)/(-1)?
16
Let v = 7364 + -44309/6. Calculate the common denominator of -32/33 and v.
66
Let u be (-22)/(-8) + 1/4. Let j = u - 2. Find the common denominator of -95/8 and 3 - j - 6/(-15).
40
What is the common denominator of (-2235)/18*2/40 and 25/3?
24
Let r be (-3)/(-12)*(10 + -2). Suppose a + r*y = -2, -y - 4 = -4*a + 24. Calculate the least common multiple of a and 16.
48
Let w = 0 - -2. Let p be (w + -1)*3*3. Calculate the least common multiple of (p/6)/((-6)/(-40)) and 20.
20
Suppose -5*o + 0*x = 2*x - 100, 82 = 4*o + 2*x. Calculate the lowest common multiple of 66 and o.
198
Suppose -3*a = -0*a + 5*d + 25, -10 = 2*d. Let m be 1*a/(-1)*1. Find the common denominator of 63/20 and (2 - m) + 27/8.
40
Let r(c) = -c**2 + 6*c + 1. What is the lowest common multiple of r(3) and 122?
610
Let j = -531 - -13286/25. Let i = j - 1897/50. Calculate the common denominator of (-59)/18 + -2 + 2 and i.
18
Let m = 156787/15 - 64139/5. Let p = 2396 + m. Calculate the common denominator of p and -7/8.
24
What is the common denominator of (-3)/54*219/6*2 and 23/3?
18
Let t(b) = 6*b - 28. Calculate the lowest common multiple of t(8) and 25.
100
Let f be (-6)/((9/(-12))/(-1)). Calculate the least common multiple of (-6 - -10)/((-2)/f) and 16.
16
Suppose 0*x + 7533 = 2*s - 3*x, -4*x - 3754 = -s. Calculate the common denominator of -81/20 and (-2)/13 - s/312.
20
Calculate the least common multiple of (-33)/(-4) - -2*4/(-32) and 11.
88
What is the common denominator of 87/22 and (-220)/64 - (-2 + -2)?
176
Let a = 23384/10955 - 60/313. Find the common denominator of 33/4 and a.
140
Calculate the common denominator of ((-144)/(-392))/(28/539) and 6/4*(-190)/(-24).
56
Let a = 18 + -14. Calculate the smallest common multiple of 16 and a.
16
Let l = 5 + -3. Suppose -q - l*q = 18. Let x = 7 + q. Calculate the lowest common multiple of x and 6.
6
Suppose 55 = 5*c + 5*g, 0*c = -c + 5*g + 17. Let v = 0 + 0. Suppose -3*a = -v*a - 12. What is the lowest common multiple of a and c?
12
Suppose -3*z + 13 = 5*n, 2*z - 12 = -2*n - 2*n. Suppose -7 = n*f - 27. Let r(t) = -t**3 - 9*t**2 + 2. What is the smallest common multiple of f and r(-9)?
4
Let x(c) = 33*c**3 - c**2 - 2*c + 2. Let v be x(7). Let r = v + -112491/10. Find the common denominator of r and 47/11.
110
Let n be (15 - 3)/(3/2). Let l = n + -2. Calculate the sma