se -k + 3*n = 3, -3*k + 5*n - 5 = k. Let v = 2 + k. What is the least common multiple of a and v?
14
Let d = -19/97 - 4601/776. Find the common denominator of -71/40 and d.
40
Suppose 2*p + 7 = 3*p. Find the common denominator of 1160/(-252) + (-2)/p and -41/5.
45
Let s = -11404 - -205325/18. Find the common denominator of (-3)/(-2) + (-2)/9 and s.
18
Let l = 26 + -14. Suppose -4*u = -i + 2*i - 2, -6 = -i - 2*u. Calculate the smallest common multiple of i and (-3)/(-1 - (-3)/l).
20
What is the common denominator of (3/(270/158))/((-36)/54) and 29/27?
270
Let v(w) = 11*w**2 - 2. Let q be v(-2). What is the common denominator of 570/28 + 6/q and -9/20?
20
Let r(z) = 393*z**2 - 3*z. Let i be r(4). Suppose 319 + i = 5*q. Let v = q - 3920/3. Find the common denominator of 57/2 and v.
6
What is the common denominator of (-895)/(-330) - 2/(-6) and -47/14?
154
Let c be 16 - 13 - (0 - 6). Let x = c + 2. Calculate the lowest common multiple of x and 7.
77
Let l = -36 + 42. What is the smallest common multiple of 20 and l?
60
Suppose -71*n + 75*n - 48 = 0. Let t(j) = 11*j**2 - 1. Calculate the least common multiple of n and t(-1).
60
Let u = 1411/14 - 197/2. Let m be (-283)/(-293) + 0 + -1. Let c = 6233/2344 + m. Find the common denominator of u and c.
56
Let p = 689/12 + -297/4. What is the common denominator of p and -21/5?
30
Let n be 2/5 - (-8793)/(-4620). Let x = 3/44 - n. Calculate the common denominator of ((-198)/36)/((-10)/14) and x.
70
Let o(k) = -2*k + 3. Let b be o(6). Find the common denominator of (114/b)/(4/6) and 8.
1
Suppose -5*i - 3*j - 7 = 0, 2*i + 4*j - 6 = 5*j. Let m be 22 - 1*(i + 1). Suppose 3*o = o + m. Calculate the lowest common multiple of 18 and o.
90
Let f = -5449/1305 + -39/145. Find the common denominator of 71/15 and f.
45
Let u be (-16)/(-12)*(-18)/4. Let q = 11 + u. What is the least common multiple of q and 5?
5
Let r be (-5)/1*(-22)/(-5). Let v = r - -28. What is the smallest common multiple of 10 and v?
30
Suppose -6 = -5*h + 3*h. Suppose z = -h*z. Find the common denominator of -18 and z + 3/10*1.
10
Suppose -3*z + 14 = -4. Let a be (-2)/z + 56/(-12). What is the lowest common multiple of (-5)/(((-5)/(-2))/a) and 1?
10
Let p(x) = x - 2 - 2 + 4*x**2 - 3*x**2. Let d = 0 - -22. What is the smallest common multiple of p(3) and d?
88
Let l be 24/18*12/(-526). Let p = l + -24443/526. Let y = -39/11 + 687/110. Find the common denominator of y and p.
10
Let y be (6/8)/(18/45300). Let z = 1923 - y. Let u = -149285/16 + 9327. Calculate the common denominator of z and u.
16
Let z = -124841/30930 + 3/1031. Calculate the common denominator of z and -36/55.
330
Suppose -56 = -5*z + 44. Calculate the lowest common multiple of 4 and z.
20
Let p(w) be the first derivative of -w**4/4 - 8*w**3/3 - 9*w**2/2 - 10*w - 6. What is the least common multiple of (-2 - -12)*(-2 - -3) and p(-7)?
20
Find the common denominator of (-197)/60 + (-2)/(-6) and 89/((2/(-6))/(7/84)).
20
Calculate the common denominator of -133/18 and (0 - 0) + (-3)/(-16)*-11.
144
Let y = 4680 + -46863/10. What is the common denominator of 77/16 and y?
80
Suppose -2*b + b = -12. Let z(i) = -i**2 + 12*i + 11. Let l be z(b). Suppose -4*c = -5 - l. What is the lowest common multiple of c and 8?
8
Let t = 24 - 17. Let m(a) be the second derivative of -a**4/12 + 2*a**2 + a. Calculate the least common multiple of t and m(0).
28
Suppose 4*m = -q + 15, 2*q - 5*q + 5*m = -28. Calculate the smallest common multiple of q and 5.
55
Let o = -83 + 103. Calculate the smallest common multiple of 45/12 - (-2)/8 and o.
20
Let a(u) = 15*u**2 - 3*u + 4. Let n be a(-4). Calculate the common denominator of n/18*(-6)/12 and (2/(-28))/(1/102).
63
Let j be (-3)/12 - 34/(-8). Let z(o) = o**3 - 2*o**2 - 6*o + 3. Calculate the smallest common multiple of 5 and z(j).
55
Let m = 15 + -13. What is the smallest common multiple of m and 12?
12
Calculate the common denominator of (-1)/(-2) - 5/12 and (5/(-125))/(4/1070).
60
Let m(c) = c**3 - 5*c**2 + 5*c + 2. Let z be 12/8*16/6. Calculate the smallest common multiple of m(z) and 4.
12
Let x = 45 - 35. What is the lowest common multiple of x and 16?
80
Suppose 0 - 6 = -3*m. Find the common denominator of -2 + 74/(-24) + 2 and m/(-2) - 116/88.
132
Suppose -3*s + 19115 = -5*b, 4*s + 9*b = 4*b + 25510. Let k = 89361/14 - s. Calculate the common denominator of (-33)/18*(-11)/2 and k.
84
Let o = 3 + -2. Let p = 8 + 0. What is the least common multiple of p and o?
8
Let d = 213923/18 + -11892. Suppose 10 = x - 6*x. Calculate the common denominator of d and 101*(-1)/22 - x.
198
What is the lowest common multiple of 20 and 19 - (4 - (-2)/(-2))?
80
Suppose -c = 4*c - 105. Let r = -13 + c. What is the least common multiple of r and 6?
24
Let v be -1 - (180402/(-20) - -1). Let n = 9006 - v. Calculate the common denominator of n and ((-68)/6)/((-19)/(-15) + -1).
10
What is the common denominator of (4/20)/((-12)/(-575)) and -35/18?
36
Let v = -99 + 59. Let u = -215001/20870 - -4/2087. Calculate the common denominator of u and (-7)/(-35) - (-146)/v.
20
Let u = 5808 - 116093/20. What is the common denominator of 51/20 and u?
20
Let p = -1/18003 - 954137/396066. Calculate the common denominator of -77/34 and p.
374
Suppose -36 = 5*l - 6. What is the common denominator of (-13)/(-6) + l/24 and 1 - 0 - 61/(-4)?
12
Suppose 0 = -2*f - 4501 + 1683. Let k = f + 7086/5. What is the common denominator of k and 542/24 - (-2)/(-6)?
20
What is the common denominator of 58/21 and 2/(-24)*93/6?
168
Suppose 13 = 4*v - 19. Let c be (0 - 1) + -1 + v. Let f(b) = -b + 12. What is the lowest common multiple of f(c) and 16?
48
Let o(p) = -p**3 - 3*p**2 - p. Let j be o(-3). Suppose j*b = -3, 0 = 2*a + 6*b - b + 1. Calculate the lowest common multiple of 10 and a.
10
Let s be 0/(-4)*(-4)/(-8). Suppose s*p - 32 = -4*p. What is the lowest common multiple of 18 and p?
72
Suppose 3*d - 10 = -4*y, -2*y - d + 6*d = -18. Suppose y*i + 0*i = 4*v + 40, 0 = 3*i + v - 14. What is the least common multiple of 6 and i?
6
Let n = 4745 - 275191/58. Calculate the common denominator of (-1)/((-2)/91) - 0 and n.
58
Let u be 2 + 3/((-834)/524). Let p = -4245/556 - u. Find the common denominator of p and -29/2.
4
Let k = 1621/15 - 622/5. Calculate the common denominator of 65/14 and k.
42
Suppose -4*n - 7 = -7*n + 2*x, -x = n - 4. Suppose n + 1 = 2*t. Let o = 15 - 13. Calculate the lowest common multiple of o and t.
2
Let w(g) = 45*g + 2. Let m be w(-6). Suppose 3*y + 3 + 1 = 2*b, -b - 3*y = -2. What is the common denominator of (m/(-10))/(-2) + b and 6?
5
Let a(v) = 4*v - 6. Let y(l) = -6 - 4*l + 8*l + 3*l. Calculate the least common multiple of a(4) and y(4).
110
Suppose -4*q + 8*q = 8. What is the least common multiple of q and 8?
8
Let o = 319/72 - 1/18. Find the common denominator of o and -119/24.
24
Suppose 15 = 6*b - 5*b. What is the lowest common multiple of 20 and b?
60
Suppose 2*l = -19 + 23. What is the least common multiple of l and 9?
18
Let o(m) = 2*m**2 - 22*m - 22. What is the least common multiple of o(12) and 28?
28
Let y be ((-42)/(-12))/((-1)/14). Let n = -33 - y. Calculate the least common multiple of 2 and n.
16
Let h(v) = -v - 4. Suppose -4*u = 3 + 17. What is the smallest common multiple of 7 and h(u)?
7
Suppose 2*n + 320 = 4*n. Suppose 0 = z - n - 229. Let r = z + -3913/10. What is the common denominator of r and 109/10?
10
Let g = 22/19 - 509/95. Calculate the common denominator of g and 31/23.
115
Suppose 0 = u - 2*w - 3*w - 42, 0 = 2*u + 4*w - 28. Suppose 2 + 0 = 2*h. Calculate the smallest common multiple of 14 + (h - 5 - -2) and u.
132
Let b(s) = 4*s + 4. Let i = 11 - 7. Calculate the smallest common multiple of b(i) and 22.
220
Suppose -4*t = t + 45. What is the smallest common multiple of 12 and 18/(-12)*24/t?
12
Let d = -16 + 37. What is the smallest common multiple of d and 8?
168
Suppose -2*o - 3*f + f = -2, -13 = -3*o - f. What is the least common multiple of (11*4)/2*1 and o?
66
What is the common denominator of 30 and (76 - -5)*2/4?
2
Calculate the common denominator of (-234)/(-28)*14/(-20) and (-142)/(-12) - (-2 + 0).
60
Let c = -21 - -28. Let f(j) = 6*j**2 + 2*j - 2. Let h be f(-2). Calculate the lowest common multiple of 78/h + 4/6 and c.
35
Let f = -48 + 3. What 