 -6*z**3 - 2*z**2 + z. Let n be m(-5). Let o = n - b. Find the common denominator of 15/2 and o.
10
Suppose 2*q + 70 = 4*b + b, -5*q = b + 13. What is the least common multiple of 14 and b?
84
Let p(d) = d + 8. Let h = -14 + 18. Calculate the smallest common multiple of h and p(-6).
4
Suppose j + 5 = d, -j + 0*j = 5*d + 29. What is the common denominator of -43 and ((-14)/(-32))/(j/54)?
8
Suppose 3*z = 26 + 136. Let n = -123 + 126. What is the lowest common multiple of z and n?
54
Let a be (-3 - 4)/((-4)/652). Calculate the common denominator of 72/224*16/(-3) and (-3)/5 - a/(-210).
42
Let l = -678191/241740 - 2/20145. Calculate the common denominator of 7/28 - (-209)/36 and l.
36
Suppose 0 = 3*j - 3. Let q be 170/((2/(-2))/(-2)). Calculate the common denominator of q/(-70) + (-2)/j and 16.
7
Let h = -2/12457 + -435971/149484. Find the common denominator of h and 70/423.
1692
Suppose 260 = -v + 8440. Let l = v - 98041/12. What is the common denominator of l and -79/2?
12
Suppose -6*b + w - 49 = -9*b, -b + 38 = -4*w. What is the lowest common multiple of b and 5118?
15354
Let b(k) = 2*k - 5 + 2 + 2 + 3. Let f = 4 - 2. Calculate the lowest common multiple of b(f) and 22.
66
Let f = -5 - -9. Suppose 14 = l + y, -2*l + 56 = 2*l - y. What is the lowest common multiple of l and f?
28
Suppose -4 = 5*q + 6. Calculate the common denominator of 4/3 and (-1)/(-3) - (1112/204)/q.
51
Let d(t) = -92*t - 2. Let p be d(-2). Suppose 5*r = -p + 37. Let g = 52 + r. Calculate the lowest common multiple of 7 and g.
161
Suppose 4*c - 136 = -h, 17 = c - 4*h - 0*h. Calculate the least common multiple of 33 and c.
33
Suppose -5*v + 0*v + 125 = 5*o, -5*o = -3*v + 43. What is the least common multiple of 9 and v?
63
Let c be (-54052)/(-20) + -2 - 4/(-10). Let h = c + -24338/9. Calculate the common denominator of h and 319/40 - (-6)/15.
72
Let g(a) = a**2 + 6*a + 25. Let h be (-8)/28 - (-172)/14. Suppose r = 2*r - h. What is the smallest common multiple of r and g(-5)?
60
Suppose -28 = -15*f + 32. Calculate the smallest common multiple of 60 and f.
60
Find the common denominator of 2/(-7) - 778/(-224) and (4/16)/(-16 - -11).
80
Suppose 0 = 9*w - 5*w - 4. Find the common denominator of 111/20 and (-339)/2*w/30.
20
Find the common denominator of 264/(-45) - 2 - 140/175 and (-4)/6 - (-67)/9.
9
Let n = -28 + 23. What is the smallest common multiple of 9 and ((-12)/n)/(27/90)?
72
Let t = 400589/48402 + 4/2689. Let r(y) = y**3 - 6*y**2 - y + 6. Let b be r(6). Find the common denominator of t and (-1 + b)*146/(-20).
90
Suppose -6*w + 1574 - 866 = 0. Calculate the smallest common multiple of 10 and w.
590
Let v(i) = 2*i**2 - i + 9. What is the lowest common multiple of 11 and v(0)?
99
Let m = 129/56 - -2127/280. Find the common denominator of (-392)/(-32) - 1/(-2) and m.
20
What is the common denominator of (-70)/(-105) + (-164)/390 and -37/5?
65
Suppose 10 = s - 0*s. Let c(u) = 2*u - 8. Calculate the smallest common multiple of s and c(6).
20
What is the common denominator of 0 + 1 - 335/50 and (-2)/(-3)*(-231)/451?
410
Let c(d) = -d**2 + 2*d + 1. Let s be c(3). Let k be 227/(-3) - (-4)/(-12). What is the common denominator of 179/30 and k/12*s/(-4)?
30
Let u(k) = k**2 - 10*k - 8. Let a be u(6). Find the common denominator of (-8)/a - 271/12 and 15/7.
21
Let z = 32 + -110. Calculate the common denominator of 58/3 and ((-3)/z)/((-8)/32).
39
Suppose -4*k + 0*j + 47 = 3*j, -3*k = -4*j - 4. Suppose a - 9 - 9 = 0. Suppose m + m - a = 0. What is the least common multiple of m and k?
72
What is the least common multiple of ((-16)/(-4) + -2)*57/6 and 27?
513
Let w = -7 - -12. What is the common denominator of ((-1860)/(-16))/15 + (-1)/2 and 3/w - 141/(-30)?
20
Suppose 5*r = 3*x - 0*r - 5, -2*r + 4 = 0. What is the smallest common multiple of (-40)/(-100) + 8/x and 9?
18
Let p = -217893/7324 + 1/1831. Let h = p - -1345/44. Calculate the common denominator of h and -40/3.
33
Let b = -197 - -116. Find the common denominator of (-1)/(36/104)*-1 and -2 + 9/(b/(-120)).
9
Let b(m) = -2*m - 6. Let p be b(-4). Let x = 11 - p. What is the least common multiple of x and 9/(27/(-6))*-4?
72
Let y = -2682 - -147489/55. What is the common denominator of -14/95 and y?
1045
Let k(d) = d**2 - 5*d - 6. Suppose 3*h = 62 - 14. What is the smallest common multiple of k(7) and h?
16
Suppose -7*z - 2 + 44 = 0. What is the least common multiple of z and 8?
24
Calculate the common denominator of (3/(-2))/(4 + (-790)/(-115)) and 37/10.
500
Suppose 14 = 4*m - 2. Suppose -x + m*i = 3*x - 232, 4*x + 4*i = 192. Let q = x + -37. What is the smallest common multiple of 16 and q?
16
Suppose 294 = 102*f - 88*f. What is the smallest common multiple of f and 28?
84
Calculate the lowest common multiple of 1 + 171 + -3 + 11 and 48.
720
Suppose -5*a = -44 - 246. Let l be a/3 - (-4)/6. Suppose 3*c + l = 86. What is the smallest common multiple of c and 10?
110
Suppose 4*j + 5*o + 0 = 2, 4*o = 4*j - 20. Suppose r = -4*d - 331, -3*r = j*d - 2*d + 69. What is the common denominator of 14/11 and 232/d - 6/9?
77
Let u = 11137 + -222693/20. Calculate the common denominator of 5 and u.
20
Let x = 112 + -57. Calculate the lowest common multiple of 15 and x.
165
Let k be 45/(-1) + (-27)/9. Find the common denominator of 2436/48 + ((-4)/(-2))/(-8) and 2/(-4) + (-290)/k.
24
Suppose 0 = -3*r + 4 + 2. Let a = -1 - -4. Calculate the smallest common multiple of -2 + (a - r) + 4 and 2.
6
Let u = 17 + -35. Let b be (-1)/2*(u - -6). What is the smallest common multiple of 12 and (16/12)/4*b?
12
Let t = -24/13296649 + -8518644444461/292526278. Let b = t + 29126. What is the common denominator of -43/6 and b?
66
Let p(y) = -y**3 + y**2 - 3*y - 1. Let r be p(-2). Suppose 0 = r*x - 18*x + 30. What is the smallest common multiple of 21 and x?
210
Let m(o) = 5*o - 82. Let w be m(22). What is the least common multiple of 44 and 4 - 36/14*w/(-6)?
176
Suppose 0 = -y + 5, 0*u - 275 = -u + y. Let c = 523/8 - 64. Find the common denominator of c and (-2188)/u - 4/14.
40
Let s be 10*7/(140/24). Calculate the common denominator of ((-272)/s + 0)*-1 and 39/8.
24
Let j(h) = -h**2 - 9*h + 37. Let f be j(-12). Calculate the lowest common multiple of 7 and 7 + -8 - -10*f.
63
Let c = 183 - 156. Calculate the lowest common multiple of c and 15.
135
Let a(h) = 26*h**3 + 2*h - 4 + 3 + 12*h**3. Suppose -2*p + 2*i = -6, -4*p - 14 = -8*p + 5*i. What is the common denominator of a(p) and -13/10?
10
What is the common denominator of 81/100 and (-692)/3080 + -7*14/(-539)?
700
Let b = 70841/60 + -7121/6. Find the common denominator of (-356)/(-480)*4/6 and b.
180
Let i(f) = -76*f**2 + 26*f - 10. Let x(u) = -15*u**2 + 5*u - 2. Let c(y) = 3*i(y) - 16*x(y). Calculate the smallest common multiple of c(1) and 7.
84
Let v = -166 - -176. What is the lowest common multiple of 60 and v?
60
Let y = 396 - 388. Let g(i) = -3*i - 28. What is the least common multiple of g(-14) and y?
56
Suppose 19 = 4*z - 5. Calculate the lowest common multiple of (-10)/z*(2 + -8) and 11.
110
Suppose n + 3*d = 25, -n - d = n - 45. Suppose n = 4*k - 18. Let y = 58 - 54. What is the least common multiple of y and k?
20
Suppose 5*q - 8*q + 156 = 0. Suppose 14 = i - 2*u, -4*i + 4*u = i - q. Calculate the smallest common multiple of i and ((-8)/6)/(4/(-30)).
40
Let v(d) be the second derivative of -2*d**3/3 - d**2 + d. Let j be v(-1). Suppose 0 = -k + j + 1. What is the lowest common multiple of k and 10?
30
Let i = 36099 + -2166017/60. Calculate the common denominator of -67/20 and i.
60
Let b be 6*(-1)/(-8)*-4. Let x(o) = 8*o + 12. Let y be x(b). Find the common denominator of 1 - ((-122)/y)/1 and -31/10.
30
Suppose 86 = -2*b - 130. Calculate the common denominator of 2/(-4)*1*b/(-8) and 23/4.
4
Let x(l) = 3*l**3 - l + 1. Let h be x(4). Suppose 4*a - j + 128 = 0, -4*a - 2*j - 116 = -0*j. What is the common denominator of 69/4 and a/2*9/h?
84
Suppose 3*r = -5*c + 4, 0*c + 3*r = 3*c - 12. Suppose 2*d = 5*p - 39, -3*p + 4*d - 3 = -c*p. What is the least common multiple of p and 1?
9
Let j(p) = 2*p - 4. Let a be j(2). Let z be a/1 - (-300)/(-6). What is the common denominator of ((-68)/10)/((-70)/z) and 21/11?
77
Suppose 0 = 5*h + 19 + 426. Let k = 100 + h. What is the lowest common multiple of 8 and k?
