= -17576 - -562355/32. What is the common denominator of w and c?
32
Suppose -98 = -5*o + 4*f, -3*o - f + 91 = o. What is the smallest common multiple of 6 and o?
66
Let t(q) = q**2 + 10*q + 1. Let w be 28/(-4) + -2*1. Let h be t(w). Find the common denominator of (h/12)/(44/(-327)) and -79/4.
44
Suppose 6 - 18 = 2*h. Let r be 93/(-9) - 2/h. Let n = -3 - r. Calculate the smallest common multiple of 3 and n.
21
Let a be (-3)/18*102/(-4). Let v = -25/4 - a. Calculate the common denominator of v and ((-107)/4 + 6/(-24))/(-4).
4
Let w(h) = -2*h**2 + 4 + 8*h + 3*h**2 - 2. Suppose 2*r + x + 6 = 21, -r + 3*x - 3 = 0. What is the least common multiple of r and w(-8)?
6
Let b = -9964 + 199167/20. Calculate the common denominator of b and 2/(-12)*(-49 + 0).
60
What is the common denominator of 71/26 and (-2)/3 - 438/(-360)?
260
Let o = -444 - -1363/3. What is the common denominator of -67/8 and o?
24
Let l = 149/16 - 2089/336. Calculate the common denominator of l and -121/18.
126
Let w be (0 - -6)*6/9. Suppose -w*t - 4*p - 36 = -2*t, 48 = -5*t + 4*p. Let g = t + 28. What is the least common multiple of 14 and g?
112
Let w = -8743/4 - -2197. What is the common denominator of 79/8 and w?
8
Let u = 8 + -7. Let w(s) = -6*s**3 + s**2 + s. Calculate the lowest common multiple of u and w(-1).
6
Suppose 0 = 3*b + 7 - 25. Suppose s + a - 19 = 0, b*s = s + 3*a + 119. What is the lowest common multiple of 12 and s?
132
What is the common denominator of -59/30 and (-75)/20*66/(-20)?
120
Let q(x) = -4 + 3 + 2*x - 3*x + 3. Calculate the lowest common multiple of q(-5) and 9.
63
Let a(w) = -w - 1. Let p(c) = 216*c**3 - 3*c - 6. Let m(f) = -5*a(f) + p(f). Let v be m(1). What is the common denominator of 29/5 and v/(-77) + (-2)/(-11)?
55
Let n = 32 + -20. Let c(f) = -1. Let m(p) = -p**3 + 4*p**2 + 2*p - 13. Let k(s) = 6*c(s) - m(s). What is the lowest common multiple of k(5) and n?
132
Let q be -7*4/42*9. Let p = q - -19. Calculate the smallest common multiple of p + 6/(3/(-1)) and 5.
55
Suppose 0 = -4*o + 26 + 18. Let k = o - 7. Suppose -2*v + v + k = 0. Calculate the smallest common multiple of v and 18.
36
Let v(n) = -4*n**3 + n. Let l = 4 - 5. Let s be v(l). Suppose s*x + x = 16. Calculate the lowest common multiple of x and 7.
28
Let h(f) = 21*f**3 + f**2 + f - 1. Let m = -31 + 7. Let l = m + 46. What is the least common multiple of h(1) and l?
22
Suppose 0 = -r + 58 - 54. What is the smallest common multiple of 6 and r?
12
Suppose -5*w - y = -3*y - 12, -2*y = 2*w - 2. Let d = 17 - 7. Calculate the least common multiple of w and d.
10
Suppose 0*i = i - 2088. Let f = 20941/10 - i. Let d = 6557/4 + -1650. Find the common denominator of d and f.
20
Let l(t) = 55*t - 4. Let r be l(5). Suppose r = f - 263. Let g = f + -1103/2. Calculate the common denominator of g and 17/8.
8
Let t = 15099 + -31278. Let q = t + 323497/20. Calculate the common denominator of 0 - 2/(72/(-266)) and q.
180
Suppose 0*a = 3*i - a + 59, 97 = -5*i + 3*a. What is the common denominator of (-5)/i - 105/16 and 1 - ((-106)/(-24))/1?
48
Let j be 2173*1 + 2/(-8). Let a be 69/2*(-1900)/30. Let t = a + j. What is the common denominator of t and -87/8?
8
Let g(u) = -2*u + 2. Let n = 3 + -11. Let p be g(n). What is the lowest common multiple of 9 and ((-3)/(-9))/(1/p)?
18
Find the common denominator of 134/(-4) - (-1 + -4) and 8.
2
Suppose 3*k = 2*k - 4560. Let d = -54673/12 - k. Calculate the common denominator of d and 27.
12
What is the common denominator of (-32 - -19)/(2/(-7)) and -1/12?
12
Let r = 179375/18 + -9961. Find the common denominator of 145/18 and r.
18
Let p = -6 - -11. Let k(q) = q**2 + 13*q + 15. Let s be k(-12). Let r = p + s. Calculate the lowest common multiple of r and 11.
88
Let y = 15 - 7. Let d = -8636/99 + 896/11. Calculate the common denominator of 15*2/y - -1 and d.
36
Let o be 32933/(-42) - (-8)/28. Let r = -782 - o. Find the common denominator of (13/2)/((-16)/(-12)) and r.
24
Let h = 74 - 68. Calculate the least common multiple of h and 9.
18
Let k = -277 - -824/3. Calculate the common denominator of k and (2 - 7)*(1 - 6).
3
Let p(j) = j**2 - 4*j - 10. Let y be p(5). Let z = y - -13. Suppose -4*n + 5*n = 14. Calculate the lowest common multiple of z and n.
56
Let v = -4 - -6. Suppose -2*s = -v*x + 22, 4*x - 15 - 26 = s. What is the smallest common multiple of 20/(-14)*(9 + -16) and x?
10
Let h(m) = -4*m**2 - 3*m - 9. Let j(p) = 5*p**2 + 3*p + 10. Let i(s) = -4*h(s) - 3*j(s). Calculate the least common multiple of 2 and i(-5).
16
Let z be 319*1 - 27/9. Calculate the common denominator of -67/22 and z/(-18)*5/20.
198
Suppose -4*r + 2*r = -20. What is the smallest common multiple of -1 + 1 + 2 + 7 and r?
90
Let r = -4456554986/575 - -7750534. Let t = 43/23 - r. Calculate the common denominator of 45/11 and t.
275
Suppose 0 = 2*k + 3*k - 75. Suppose -2*t - 3 = -k. Let r(v) = 5*v**2 + 2*v - 2. Calculate the smallest common multiple of t and r(2).
66
Suppose -q + 6 = 2*q, -7 = s - 5*q. Calculate the lowest common multiple of s - (3 - (-9)/(-3)) and 6.
6
Let w = -16549/3366 + -1/6732. Find the common denominator of w and -59/5.
60
Let n(f) = -f**3 - 13*f**2 - 11*f + 15. Let y be n(-12). Suppose -2*k - y = -3*k. Calculate the least common multiple of k and 8.
24
Calculate the common denominator of -21/11 and 2/(-1) + (-13)/(-8).
88
Suppose 0 = 3*b + 3*l + 6, 4*b + 5*l = -4 - 9. Suppose -y - b*y = -8. Let i(x) = x. What is the least common multiple of i(y) and 8?
8
Let b = -20321/10 - -2044. Let j be (-1019404)/(-120) + (-2)/6. Let s = -8505 + j. What is the common denominator of s and b?
10
Find the common denominator of -23*1 + 5 + -5 and -65/9.
9
Let k(v) = -v - 3. Let y be k(-6). Let g(n) = 15*n + 1. Find the common denominator of -7/5 and g(y).
5
Let x = -6/659953 - 335632394/93053373. Let c = 5/141 + x. Find the common denominator of -1 - 26*(-3)/(-15) and c.
35
Let n be -1*61*(4 + -5). Let c = -13 - -18. Find the common denominator of -23/16 and (n/c)/(8/20).
16
Suppose 0 = -5*w + 5*s - 10, -2 - 6 = -w - s. What is the smallest common multiple of 117 and w?
117
What is the common denominator of ((-2)/(-8))/(55/1342) and 1/6?
30
Let k = -221015/18 - -12286. Find the common denominator of 38/9 and k.
18
Suppose -x + 2*d = 0, 3*x = -2*d + d + 14. Let h(a) = 6*a - 2. Calculate the least common multiple of h(4) and x.
44
Let n = 16/209 + 3007/1672. Calculate the common denominator of (11/(-14))/(1/2) and n.
56
Let h(y) = -5*y. Let p be (0 - -4)/((-4)/(-90)). Suppose -5*q + p = 5*m, m + m = 2*q + 36. Calculate the smallest common multiple of m and h(-4).
180
Suppose -3*w - g + 7 = 0, w = 5*w + 2*g - 10. Suppose -w*j = 3 - 23. What is the lowest common multiple of 7 and j?
70
Suppose 9 - 129 = -4*t. Calculate the smallest common multiple of t and 18.
90
Let w(a) = -6*a**3 + a**2 - 1. Suppose -621*v = -618*v - 30. Calculate the lowest common multiple of w(-1) and v.
30
Let n = -360 - -1094/3. What is the common denominator of 1/5 and n?
15
Let c = 46813/12 + -3889. Calculate the common denominator of 73/4 and c.
12
Let b = 60/131 - -2315/2096. Calculate the common denominator of b and 59/12.
48
Let l = 614 - 3039/5. Let b = -1067 - -3269/3. What is the common denominator of b and l?
15
Let v = -3 + 1. Suppose 20 = 3*y - 2*u, -y + 26 = y + 5*u. Calculate the lowest common multiple of y and v - -9*(-1 - -2).
56
Suppose 2*u + 3*j + 388 - 158 = 0, 0 = 2*u - 4*j + 216. Let t be (-4)/18 + u/(-18). Calculate the common denominator of -65/22 and (3/t)/(18/(-158)).
198
Let w(q) = 3*q**2 - 3*q + 4. Suppose 3*v - 3*r - 7 = -2*r, 0 = -4*v - 3*r + 18. What is the smallest common multiple of w(v) and 16?
176
Suppose 2*j + 432 + 120 = 0. Let y be (-98)/j*(-3)/21. Let l = y + 861/46. Calculate the common denominator of l and 39/7.
21
Suppose 2*n - 5*b - 47 = 0, -7*b - 15 = -2*b. Calculate the smallest common multiple of 16 and n.
16
Let c = 5187 - 57016/11. Find the common denominator of 44/3 and c.
33
Suppose -1 = q, -4*b + 4*q - 3 = -3*b. Let p(l) = -l**3 - 6*l**2 + 6*l - 4. What is the least common multiple of p(b) and 6?
6
Let k be -3 - (-124)/(5 - 1). Suppose -i + k = 3*i. What is the smallest common multiple of 5 and i?
35
Suppose -2*z - 4*y + 3 = 7, 5*z = -y + 17. What is the least com