).
286
Suppose -8*w + 17*w - 162 = 0. Calculate the least common multiple of 12 and w.
36
Let h(f) = -3*f - 6. Let r(t) = t**3 - 15*t**2 + 10. Let a be r(15). Suppose -4*p + a = -14. What is the least common multiple of p and h(-6)?
12
Let k(o) = o**2 + 5*o + 8. Let r be k(-7). Let l = r - 4. Calculate the smallest common multiple of -1*(1 + -3 - l) and 20.
20
Let d(a) = -4*a + 2. Suppose 24*k - r = 29*k - 25, -13 = -2*k - r. What is the lowest common multiple of k and d(-5)?
44
Let m = 1 - -4. Suppose 5*o = m*x - 45, 2*o + 25 = -3*o. Find the common denominator of -31/4 and (21/15)/(x/(-5)).
4
What is the common denominator of (374/99)/((-12)/(-63)) and 52/7?
42
Let u = -43 - -47. Let b = u - -10. Let p(c) = -c**3 + 6*c**2 - 3*c + 2. What is the least common multiple of b and p(4)?
154
Calculate the common denominator of ((-102)/36 - -10)*6/176 and 103/112.
1232
Let z(f) = -3*f + 36. Let n be z(12). Calculate the common denominator of -47/11 and (-3 - n)/(-6)*63.
22
Let l = 67037/30 - 2235. Find the common denominator of (637/(-325) + 7)*(-10)/16 and l.
60
Suppose 5*j - 605 = 3*w + 598, 3*j + 3*w = 717. What is the smallest common multiple of j and 30?
240
Let f = -8 + 10. Suppose 4*b = -2*i - 4, -2*i = -3*i - 4*b + f. What is the smallest common multiple of i/5*(-4 - 6) and 4?
12
Let a = 1953275/198 - 9865. Calculate the common denominator of 71/110 and a.
990
Suppose 3 = -3*u + 5*b, 0 = -2*u - 4*b + 20 - 0. Calculate the common denominator of 95/(-4)*(-6)/35 and u/6 - (-266)/36.
126
Let c(t) = 2*t + 3. Let k be c(3). Find the common denominator of ((-8)/84)/(6/14) and 79/(-4)*(-9)/k.
36
Suppose 0 = -10*d + 2595 - 315. Calculate the lowest common multiple of 8 and d.
456
Let u = -921 + 923. Suppose -40 = -s - 3*s. Calculate the lowest common multiple of s and u.
10
Let l = -8999/4 + 2261. Let h = -80 - -38. What is the common denominator of l and 707/h - (-2 - 0)?
12
Let p(n) = n + 13. Let b be p(-10). Calculate the smallest common multiple of 22 and 0 + b - (-14 + 9).
88
Let p(x) = -x**2 + 6*x + 111. Calculate the least common multiple of p(-7) and 122.
1220
Let v = 1563089/31 + -24991627/620. Let l = 1148 + -11257. Let q = v + l. Find the common denominator of q and -145/12.
60
Let t = 111 - 96. Calculate the least common multiple of t and 3.
15
Let b(y) = -y**2 - 7*y - 2. Let p = -1374 - -1376. What is the smallest common multiple of b(-5) and p?
8
Let w(h) = -2*h**3 - 5*h**2 + 10*h + 4. What is the least common multiple of w(-4) and 14?
84
Let z be (-2304)/(-21) - (-2)/7. Calculate the lowest common multiple of 24 and z/33*6/4.
120
Let w(i) = -11*i**2 - 83*i - 6. What is the smallest common multiple of 34 and w(-7)?
612
Let h(x) = x + 6. Let y be h(0). Let b be (y/(-15))/(2/(-10)). Suppose 0 = 2*j + 3*j - c - 28, b = -j + 4*c. What is the smallest common multiple of j and 7?
42
Let u(m) = -9*m + 95. What is the smallest common multiple of 280 and u(9)?
280
Let n(k) = -2*k**2 + 16*k - 10. Calculate the least common multiple of n(6) and 6/21 - (-26)/7.
28
Let r = -264/7 + 3091/84. Calculate the common denominator of 81/74 and r.
444
Let d(u) = -3233*u**2 + 5*u + 10. Let f be d(-5). Let z = f + 17623153/218. Calculate the common denominator of z and 19/18.
1962
Find the common denominator of ((-6)/126)/((-2082)/522 - -4) and 28/33.
231
Let b = -121307/48 - -2527. Find the common denominator of b and 19/24.
48
Suppose 3*t = 3*l + 24, -t + 8 = t + 2*l. Suppose -45*k = -202 + 22. Calculate the smallest common multiple of k and t.
12
Let t = 154 + -242. Let k = 666 + t. Let u = 4555/8 - k. Calculate the common denominator of u and -95/16.
16
Let l(y) = 36*y**2 + y + 1. Let r(u) = -u**2 - 2*u + 2. Let z be r(1). Let k be l(z). Calculate the common denominator of -89/6 and (-410)/k - (6 + -10).
18
Let z = -6745927/126 + 53538. Find the common denominator of z and -49/30.
630
Suppose -a = 3 - 8. What is the lowest common multiple of a - ((-18)/8 - (-18)/(-24)) and 10?
40
What is the common denominator of 4/14 + (-42661)/34188 and 71/120?
1320
Let p = -4315 - -43217/10. Let m = 55483/36 - 1538. Calculate the common denominator of p and m.
180
Let n = 4 - 3. What is the common denominator of n + (-56)/(-3) - 2 and 0 - (-6)/(-4) - (-37)/(-5)?
30
Let s = 312833/390 + -8037/10. What is the common denominator of s and 173/42?
546
Let k(j) = j**2 - 19*j + 36. Calculate the smallest common multiple of k(17) and 161.
322
Let d = 8210440/3 + -2671196. Let c = -66366 + d. Let l = c + 730. What is the common denominator of l and 41/3?
3
What is the common denominator of 178/(-8)*(-13)/(-52) and -115/6?
48
Suppose 0 = -8*f + 10*f - 502. Let y = -93 + f. Let q = y + -734/5. Calculate the common denominator of q and 11/27.
135
Let c(q) = 4*q**3 + q**2 - 1. Let i = -16 - -17. What is the smallest common multiple of c(i) and 2?
4
Suppose -5*a + 20 + 0 = 0. Let l(z) = -z - 1. What is the smallest common multiple of l(-8) and a?
28
Let x = 134777/12 - 11222. Let g be 22/(-11)*311123/(-44). Let k = 14145 - g. Calculate the common denominator of x and k.
132
Let t be 6/(-39) - 76/13. Let n be 657/t*12/9. Find the common denominator of -51/8 and n/42 - 24/36.
56
Let k = 37 + -15. What is the smallest common multiple of k and (7 + -1)*4/3?
88
What is the smallest common multiple of 180/990*(53 - -2) and 342?
1710
Let m be 9 + (-6)/(-2)*-1. What is the common denominator of ((-235)/150)/((-4)/m) and -151/24?
120
Suppose 9*d - 5*d = 20. Suppose -517 = -45*v + 608. What is the lowest common multiple of d and v?
25
Let i = -12431/20 - -618. What is the common denominator of (1/(-35)*-42)/((-1)/((-85)/(-64))) and i?
160
Let v be (280/21)/((-4)/(-66)). Suppose 0*k + v = -5*k. Let j = k - -68. Calculate the least common multiple of j and 12.
24
Let p = 40549 + -3162773/78. Find the common denominator of -109/300 and p.
3900
Let n(u) = -u + 5. Let j be n(3). Let w(a) = -a**j + 5 + 2*a**3 - a**3 - 2*a**3 - a**2. What is the common denominator of 1/35 and w(3)?
35
Let n be -1*1/1*-2. Suppose 3*v + 4*d - 102 = -43, 3*v - 4*d = 19. Suppose n*r + v - 35 = 0. What is the smallest common multiple of 5 and r?
55
Suppose 16 = -0*y - y. Let b = y - -21. What is the lowest common multiple of b and 8?
40
Let l(q) be the second derivative of -7*q**5/20 + q**2/2 - 10*q. What is the lowest common multiple of 5 and l(-1)?
40
Find the common denominator of 95/2 and 1 - 2 - (21369/(-1190) + 16).
70
Suppose 20 = -0*h + h. Suppose 0 = 62*f - 59*f - 30. What is the least common multiple of h and f?
20
Let g be (0/2)/(3 - 4). Let r(o) = -o**3 - 4*o**2 + 5*o + 2. What is the least common multiple of r(-5) and g*4/(-12) - -8?
8
Let m(z) = 70*z + 72. What is the lowest common multiple of m(0) and 216?
216
Let i = 283 + -263. Let k(l) = l**2 + 2. What is the least common multiple of k(-4) and i?
180
Suppose -4*n + 6 = -74. What is the least common multiple of 8 and n?
40
Let j = -103839/4 + 25833. Let r = j - -4535/36. Find the common denominator of -21/4 and r.
36
Let b = -1914119/12 + 153414. Let q = -6100 - b. Let o = -4/283 - 6465/3113. Find the common denominator of o and q.
132
Let z = 11 + -27. What is the common denominator of -85/4 and (108/(-162))/(3/(747/z))?
8
Suppose -24 = -5*c - 2*o, -5*c + 0 = 4*o - 28. What is the lowest common multiple of 8/4*(38/c)/1 and 11?
209
Suppose -7*q + 4 = -3*q. Suppose -2*z - q = -5. Calculate the smallest common multiple of -1*(-4)/z*12 and 6.
24
What is the lowest common multiple of 12/(-108) + ((-2973)/27)/(-1) and 154?
770
Let t = -45317 - -3262739/72. Find the common denominator of 97/12 and t.
72
Let p(j) = -j**3 - 5*j**2 + 14*j + 8. What is the least common multiple of 42 and p(-7)?
168
Suppose -3*y = 9*y - 1248. Calculate the lowest common multiple of y and 4.
104
Find the common denominator of -71/148 and 19/(-95)*(-345)/33.
1628
Let w = 11 - -47. Let i = w + -40. Calculate the lowest common multiple of (-24)/(-3) + (0 - 0) and i.
72
Suppose 18*c - 416 = 232. Calculate the lowest common multiple of c and 156.
468
Calculate the common denominator of 9/88 and (61 - 60) + (-115)/168.
1848
Let i(b) = -b**3 - 2*b**2 + 2*b + 2. Let z be i(0). Suppose z*v + 3*v - 65 = 0. What is the lowest common multiple of v and 8?
104
Suppose j - 4*s = 77, -s + 308 =