**2 - 21*w - 20. Let i be x(-20). Suppose -12 = -k - i*k. What is the smallest common multiple of k and 22?
132
Let z be -15*((-10)/(-6) + -1). Let i(x) = -2*x - 13. Calculate the smallest common multiple of 4 and i(z).
28
Let k be (-1194 - -4 - 1)*4/6. Let r = k + 26977/34. Find the common denominator of -67/22 and r.
374
Let n = -193432/7 + 27638. Let f be 1/(-3) - (-187849)/102. Let h = f - 1841. Find the common denominator of h and n.
238
Let g = 27 - 21. Suppose f + o + 50 = g*f, -2*o - 30 = -3*f. Let m = -6 + 13. Calculate the lowest common multiple of f and m.
70
What is the common denominator of -73/465 and 2*(8004/(-720) - -10)?
930
Let i = -6299/45 + 671/5. Suppose 96 = -6*v - 72. Find the common denominator of (1 - (-96)/v)/(18/(-105)) and i.
18
Let s = 8/945 + -15031/1890. Find the common denominator of s and (-4)/(-14) + (-1146)/(-252) + 6.
18
Let u = -3055/12 + 253. What is the common denominator of u and -1 + (-43)/(-10) + 24/120?
12
Let a = 142 - 130. Calculate the smallest common multiple of 14 and a.
84
Suppose 9*r + 3498 - 618 = 0. Find the common denominator of (-6 - r/52)*(-23)/12 and 7/10.
390
Let t = 28111/7 - 4008. Calculate the common denominator of -31/17 and t.
119
Let z = 432 - 348. Calculate the least common multiple of z and 168.
168
Let n = -607 - -843. What is the lowest common multiple of n and 531?
2124
Suppose 2*d - 3 = -1. What is the common denominator of 27/5 and (d/(-4))/(140/(-3040))?
35
Let w = -203 + 2417/12. Calculate the common denominator of w and -53/33.
132
Let c = 23715 - 426739/18. Calculate the common denominator of (-90)/96*24/(-36)*4/11 and c.
198
Let w = -171237/20 - -8564. Let r = 49207/2556 + -1/639. Find the common denominator of w and r.
20
Let o = 2147 + -8519/4. Find the common denominator of o and (978/(-108) - -9)*(1 + 138).
36
Let u(a) = -2*a - 26. Let k be u(-5). What is the smallest common multiple of 2 and (-8)/6*456/k?
38
Let g be (-8)/(-2) + (-1 - 2). Let a(z) = z**3 + z - 1. Let j be a(g). Suppose 0 = -4*k - j + 9. Calculate the least common multiple of k and 6.
6
Let f be 6/(-4)*(-10)/5. Let j be (0/1)/(-4) + f. Suppose 3*z - z + 2*x - 26 = 0, -j*z - 2*x + 38 = 0. What is the least common multiple of z and 18?
36
Suppose 2*l + 5*h - 490 = 0, 3*l - 5*h = -0*l + 760. Calculate the common denominator of 1 + (2 - l/12) and (-4)/(10 - -6) + (-69)/(-4).
6
Let c be (4444/42)/(10/15). Let p = c + -160. Let a = -68 - -32. What is the common denominator of a and p?
7
Suppose 18 = 5*y - 4*y - 5*j, -y + 18 = -2*j. Calculate the lowest common multiple of 4 and y.
36
Let r be 8/401690*25935/(-54). Let s = r - 641529365/152200341. Let l = 1/421 + s. Find the common denominator of l and -37/9.
9
Suppose -6*b = -4*b - 66. Calculate the common denominator of (-2)/4 + (3 - b/(-51)) and -55/3.
102
Let s be ((-19)/(-4) - (-7)/(-28))*-10. What is the common denominator of 62/3 and -2 + s/(-4) + 0?
12
Suppose -13*t = -15*t + 3*k + 18, 5*t = -3*k + 24. Calculate the least common multiple of 171 and t.
342
Let m = -2 - -5. Find the common denominator of m*9*4/(-14) and 6 + 5/2 - (1 + 0).
14
Let q(m) = m**3 + 6*m**2 + 7*m - 3. Let h be q(-4). Calculate the least common multiple of 1 - (-1)/h - (-14 - 6) and 22.
22
Let h(s) = s**2 - 11*s - 18. Calculate the smallest common multiple of h(18) and 36.
108
Let x = 461691/56 - 8244. Calculate the common denominator of x and -12/49.
392
Let s = 93 + -47. Calculate the least common multiple of 12 and s.
276
Let f(w) = w**2 + 3*w - 32. Suppose -5*u + 100 = -0*u. Calculate the lowest common multiple of u and f(-8).
40
Let r(q) = q**2 + 4*q + 6. Let s be r(-3). Suppose a = 4*u + 24, s*u = -3*a + 103 + 44. Calculate the smallest common multiple of a and 44.
44
Suppose 3*n - 43 = -13. Let a be -3 - -2 - 2 - -7. Suppose -5*b + 2*c + 23 = 0, -a*c + c = -2*b + 7. What is the lowest common multiple of n and b?
10
Let n(b) = -b + 1. Let q(k) = 62*k + 6. Let s(i) = -6*n(i) - 2*q(i). Let l be s(-6). Calculate the common denominator of (2/(-3))/(80/l) and -59/6.
12
Let v = -469 - -490. Calculate the lowest common multiple of v and 12.
84
Let y be ((-10)/6)/(2/(-6)). Suppose -2*b - y*z + 15 = -49, -b + 2*z + 14 = 0. Calculate the smallest common multiple of b and 22.
22
Let j(s) = 3*s**2 + 21*s + 95. Calculate the lowest common multiple of j(-18) and 7.
4823
Calculate the common denominator of 103/6 and (3 - 679/112) + -1 + -2.
48
Let r = 1319/8391 - 18116789/36836490. Let b = r + 14531687/1176520. Let d = b - 19/134. What is the common denominator of d and 97/38?
152
Suppose -5*o + 46 = -4*c, -4*o + 9*o - 22 = -2*c. Suppose -q - m = -3*m + 2, -2*q = m - o. What is the smallest common multiple of q and 20?
20
What is the common denominator of 10/24 + (10 - 4) and 115/14?
84
Suppose 41 = -0*l + l - 3*i, 4*i + 16 = 0. What is the lowest common multiple of 16 and (l - 17)/(2/3)?
144
Suppose 2*d + 4 = -16. Let i = d - -52/7. Calculate the common denominator of i and -12/5.
35
What is the lowest common multiple of 20 and 4/3 + (-784)/(-42)?
20
Let s(w) = -w**2 - 11*w - 22. Let u be s(-8). Find the common denominator of 1/u - 59/20 and 10/(-24)*154/10.
60
Let o(n) = -2*n**2 - 2. Let g be o(0). Let p(k) = k**3 - 3*k - 3. Let r be p(g). What is the common denominator of 49/4 and r*1*10/(-8)?
4
Let v(y) = 14*y. Let l be v(1). Suppose j + t + 3*t + 10 = 0, -l = -j + 4*t. Let k(x) = x + 4. What is the least common multiple of j and k(-3)?
2
Let l(s) = s**3 + 4*s**2 - s + 1. Let t be l(-4). Suppose 2*v - 41 = -t. Calculate the least common multiple of 6 and v.
18
Let l = 4/135 + 1022/135. What is the common denominator of l and 19/65?
65
Let o(g) = 18*g + 10. Let w be 0/((-2 - 0)/2). Suppose 2*c = -w*c + 16. Calculate the lowest common multiple of c and o(0).
40
Calculate the common denominator of 3/125 and 4/(-7) + (-1972)/3654.
1125
Let g = 1040764 + -1476917. Let f = g - -2168339/5. Let y = f + 2496. Find the common denominator of -39/5 and y.
5
Let m be 2049262/(-206460) - (-32)/144. Let v = m - -4/1147. What is the common denominator of ((-2)/6)/((-18)/60) and v?
90
Let l = 56/393 - 9955/2751. Find the common denominator of 41/171 and l.
1197
What is the common denominator of 26/165 and 67*((-136)/252 - (-12)/28)?
495
Let p be (-6)/(-3) + 2502/(-8). Let h = 333 + p. Find the common denominator of 25/8 and h.
8
Let q = -1651 - -19795/12. Let f(z) = z**2 - 9*z - 2. Let w be f(11). Find the common denominator of q and (-138)/w - 10/(-5).
60
Find the common denominator of 65/296 and 16/(-40) + 1388/(-180).
2664
Suppose 29 = -3*r + 2. Find the common denominator of 1/(-3) - 891/(-54) and (-2)/r - 1142/(-288).
48
Suppose 0 = -5*d + 11 - 1. Let a(m) = m**3 + 5*m**2 - 2*m - 3. Calculate the lowest common multiple of a(-5) and d.
14
Let p = 2036 + -36661/18. Let u be 3/(-4646)*44173/(-27). Let b = -2/2323 + u. What is the common denominator of b and p?
18
Let a = -4792193333793/386809 - -12389043. Let q = 362436931/199980253 - a. Let f = 4/47 - q. Find the common denominator of -51/2 and f.
22
Suppose 0 = -2*m - 0 + 8. Let p = m - 10. Calculate the smallest common multiple of 22 and (p/4)/((-15)/40).
44
Let j(c) = 13950*c + 1. Let v be j(1). Let z = v + -334771/24. Find the common denominator of -47/24 and z.
24
Suppose 3*g - 16 = 5*q + 57, 0 = -g - 2*q + 17. Calculate the least common multiple of 14 and (-1 - -13)/(g/28).
112
Let l = -42 + 64. Suppose -3*u - 5*k - l = 0, -4*u = -5*k - 29 - 0. Calculate the lowest common multiple of 18 and u.
18
Suppose j - 4*j = 57. Let o = 35 + j. Calculate the least common multiple of 12 and o.
48
Let f(j) = -6*j - 3. Let n(l) = -5*l - 3. Let x(g) = -3*f(g) + 4*n(g). Calculate the lowest common multiple of x(-6) and 2.
18
Let a = -29/585 - 19621/9360. Find the common denominator of -23/548 and a.
6576
Suppose 0 = 4*x + 2*x + 6. What is the common denominator of -48/5 and 1/(x/(-5)) + -3?
5
Suppose -5*u + 28 = -3*u. Let t(c) = -c + 18. What is the least common multiple of ((-80)/(-12))/((-4)/(-6)) and t(u)?
20
Suppose -7*a = -3*a - 40. Calculate the common denominator of (47 - a)/(-1 - 21) and -47/10.
110
Let z(b) = -4*b - 2. Let h be z(-1). Let n be (2 - 2) + (2 - h). Suppose -k + 15 = -6*k, -4*l - 2*k + 146 = n. What is the common denominator of 