and x.
20
Let f(a) = 2*a**2 + a - 1. Let d be f(1). Suppose -33 - 171 = -d*v. Find the common denominator of 101/4 and -3 - 0 - (-81)/v.
68
Let y(z) = -z**3 + 42*z**2 + 136*z + 27. What is the lowest common multiple of 57 and y(45)?
1368
Suppose 38*f - 10 = 33*f. What is the least common multiple of 38 and f?
38
What is the common denominator of 1 - (1127/42 + -8) and 7/30?
30
Let l = -1/136946 + -2430721/9654693. What is the common denominator of l and 95/24?
1128
Let g be (-3)/18 - (-155738)/(-7356). Let w = 1960377/613 + -3198. Let t = g + w. Find the common denominator of t and 33/7.
21
Suppose c = -d + 4, 2*c + c = 15. Let j be d + 2/2 - -34. Suppose -t + 2*t = j. Calculate the smallest common multiple of t and 16.
272
Let a = -1243/15 + 230/3. Let w(h) = h**3 + 6*h**2 + 5*h. Let b be w(-5). Find the common denominator of a and (-56)/(-9) + -2 + b.
45
Suppose 3*m = 7*m. Suppose 77 = -m*t + 5*t - 3*v, 2*v = t - 14. Let y = -20 + 42. What is the least common multiple of y and t?
176
Let y = 183317 + -1809131/10. Let s = 2410 - y. Find the common denominator of -40 + 44 - 25/(-70) and s.
70
Let l be 0*(4 - 8 - -5). Let w(c) = -2*c + 5*c - 3 + 6 - 2*c. Calculate the smallest common multiple of w(l) and 9.
9
Let r(w) = 2*w**2 - 3*w. Let b be r(4). Suppose u = 3*u - b. Let v(a) = 11*a + 114. Calculate the least common multiple of u and v(-10).
20
Let m(z) = -z**2 + 2*z - 7. Let t be m(7). Let f = 5 + -2. Calculate the common denominator of -75/8 and (-31)/t + (f - 1).
168
Suppose 5*q + 23 - 8 = 0. Find the common denominator of -11/28 and q + (-1 - 118/(-44)).
308
Suppose -3*k - 2*k + 3*a - 122 = 0, 0 = a - 4. Let f = k - -72. Calculate the least common multiple of 5 and f.
50
Let v = -50 - -86. What is the common denominator of v/33 + -1 + 4 and 41/9?
99
Suppose -9*g - 70 - 56 = 0. Calculate the least common multiple of 18 and 7*(32/g + 4).
36
Let c = 287/20 + -21/4. Find the common denominator of 13/35 and c.
70
Calculate the common denominator of -7 - -806*(-1)/(-80) and -125/36.
360
What is the common denominator of 61/178 and -11 - (715/(-44) - 1)?
356
Let h(g) = -g - 9. Let b be h(-11). Suppose -2*d - b = -6. Calculate the smallest common multiple of 0 + 2/d - -7 and 4.
8
What is the smallest common multiple of 1/(3/12) + (0 - -3) and 9?
63
Suppose -4*m + 5*q + 145 = 0, 128*q - 124*q = -3*m + 70. What is the smallest common multiple of m and 918?
4590
Suppose o - 6015 = -2*o. Let r = 3098 - o. Let y = r + -4299/4. Find the common denominator of y and 119/20.
20
Calculate the common denominator of -101/78 and 115/66 - 36/27.
858
Let b = 4 - -2. Let x be 58/8 - (-10)/(-40). Suppose x*o - 77 - 7 = 0. What is the lowest common multiple of o and b?
12
Let h be (-5)/(-5) - (3 - 4). Suppose 4*l = -4*v + 64, 5 - 25 = -h*v + 4*l. What is the least common multiple of 11 and v?
154
Suppose 0 = -31*k - 626 - 552. What is the common denominator of 1/(-10)*75/6 and k?
4
Let c be (66 - 1)*(-36)/(-60). Let m = 220 + c. Let k = m - 5301/20. What is the common denominator of -91/20 and k?
20
Suppose 16*h - 36 = 13*h. Let c = h + -3. Suppose -k - 5 = -c. Calculate the smallest common multiple of 9 and k.
36
Let z = 614 - 604. What is the lowest common multiple of 42 and z?
210
Suppose 0 = 23*i - 31*i + 1168. Calculate the least common multiple of i and 18.
1314
Let d = -602 + 7833/13. Let y = 487 + -2009/4. Find the common denominator of y and d.
52
Let y be 48/(-40)*230/(-4). Suppose 4*q = 2*z - 48, -2*q + 17 = 4*z - y. What is the smallest common multiple of 4 and z?
44
Let h(c) = -c**3 - 14*c**2 + 19*c + 63. What is the smallest common multiple of 114 and h(-15)?
114
Let t(i) = 2*i - 24. Let p be t(13). Find the common denominator of (9/p)/(-8 - -6) and 25.
4
Let n = -17/180 - 268/45. Find the common denominator of n and 13/508.
2540
Suppose 2*m - 6220 = -2*x - 223338, 0 = -4*x - 5*m - 434240. Let v be (x/(-18))/((-8)/(-3)). Let y = 2263 - v. What is the common denominator of y and -19/16?
16
Let c = 55 - 41. Suppose 9*b - 4*b = -3*y + c, 2*y - 18 = b. Suppose 0 = -4*d - a + 5*a + 40, -4*d + 41 = -3*a. What is the least common multiple of d and y?
88
What is the common denominator of (-6)/(-1) + (-29133)/5508 and -13/4?
204
Let t(r) = -3*r + 3. Let g be t(-2). Suppose 0 = -3*x - g, 0 = 3*u - 4*x + 2*x - 12. Calculate the least common multiple of 2 and 27/u*20/30.
18
Let t = -1260707/59 + 21367. Let q = 3677/472 + t. What is the common denominator of q and -115/28?
56
Suppose 0 = 4*i - 4*b - 20, 13 = 3*i + 15*b - 20*b. What is the least common multiple of i and 30?
30
Suppose -11*w + 16*w = -2*p + 235, -w - 4*p = -65. Calculate the smallest common multiple of 15 and w.
45
Let r(k) = 4190*k**2 + k + 1. Let i be r(-1). Let x = 83821/20 - i. Calculate the common denominator of x and -63/10.
20
What is the common denominator of 1/(-25)*(-4360)/48 and -103/60?
60
Let n be ((0 - 1) + 2)*5. Suppose -4*d = n*u - 43, -2*u + 0*u - d = -16. Let b(h) = -h**2 + 7*h + 8. What is the smallest common multiple of b(u) and 6?
24
Let u = -2/1849 + 125774/38829. Calculate the common denominator of u and -32/175.
525
Let o = 21 + -23. Find the common denominator of 49/o + -1 - 0/(-1) and -125/48.
48
Let m(c) = -8*c - 4. Let p(u) = 25*u - 9. Let d be p(1). What is the least common multiple of (d/(-6))/((-18)/81) and m(-3)?
60
Let t(a) = -a**3 + 6*a**2 + 11*a - 8. Suppose -5*r = -5*h + 7*h - 86, -2*h + 50 = 3*r. What is the lowest common multiple of r and t(7)?
180
Suppose -3*w = -5*h + 3 + 1, 0 = 3*w + 2*h - 10. Calculate the common denominator of 0/17 + (-9)/w and 158/4 + 3/6.
2
Let o = -6472/47 - -138. Calculate the common denominator of o and -64/9.
423
Let i = 76 + 92. Calculate the common denominator of (i/(-9))/8 + 4 and -30.
3
Let i = -4109357 + 82234007/20. Let q = -2345 + i. Find the common denominator of -94*3/108 - 3 and q.
180
Let t(q) = 31*q - 62*q + 51*q - 42. Calculate the lowest common multiple of 2 and t(6).
78
Let h(x) = 10*x**2 - 3*x - 1. Let g(a) = -a**2 - 1. Let i(k) = 3*g(k) + h(k). Calculate the lowest common multiple of 3/(-6) + 10/4 and i(-1).
6
Calculate the lowest common multiple of (-28 + 8)/1*-1 and 66.
660
Let b = -9 - -26. Suppose -16 = -4*j - 4*n, -3*j + 5*j + 5*n = b. Find the common denominator of j/3 + (-970)/(-150) and -37/3.
15
Let z = 6 + 1. Suppose -2*d + 26 = 2*k + d, 2*k - 28 = -2*d. What is the lowest common multiple of z and -2 + -1 + (k - 2)?
77
What is the common denominator of 37/144 and (-4)/(-800)*-5 - (0 + -2)?
720
Let t = 4546/3 + -1537. Let j = 882175/52 - 16964. What is the common denominator of j and t?
156
Suppose -491 = -6*c + 523. Calculate the least common multiple of 52 and c.
676
Calculate the least common multiple of ((-1)/6)/(5/(-60)) and 58.
58
What is the common denominator of 1932/(-240) + (-1)/5 + 0 and 29/14?
28
Let i be 4926/(-1674) - (1 + -4). Let k = 11791/6138 - i. What is the common denominator of k and -91/8?
88
What is the smallest common multiple of 2 and ((-2)/2)/(30/(-12))*3155?
1262
Suppose 8*t - 7*t = -84. Find the common denominator of -61/3 and (-6)/(-12) - (-214)/t.
21
Let l(r) = -r**2 + 4*r + 5. Let t(u) = u**3 + 8*u**2 - 10*u - 12. Let o be t(-9). What is the least common multiple of -3*3/(-9) - (-5 + o) and l(4)?
45
Suppose 105*y = 104*y + 189. What is the least common multiple of y and 63?
189
Suppose 10*z - 12 = 4*z. Suppose -4*d = 3*s + s - 4, 5*s + z*d + 10 = 0. Find the common denominator of -89/8 and (-89)/4 + 4 + s.
8
Let n be -1 + -3 - 133/19. Let i = 11 + n. Suppose 4*j - 2*u = -7*u + 58, 2*u + 4 = i. Calculate the smallest common multiple of 9 and j.
153
What is the common denominator of -133/48 and (-12656)/(-320)*(-3)/((-63)/6)?
240
Suppose 3*u - 26 = -3*i - 2*u, -2*i - 5*u = -24. Let f(z) = -z - 6. Let v(h) = -h**2 - 5*h - 3. Let k be v(-6). What is the least common multiple of f(k) and i?
6
Let w = -561/7 - -80. Let x = 10/99 - -7979/396. Find the common denominator of w and x.
28
Let h(n) = -6*n + 96. Calculate the lowest common multiple of h(1) and 90.
90
Let m(n) = -8*n - 6. Let r be m(5). Let g = r - -24. Find the common denominator of 133/12 and (11/g)/(1/51).
12
Let x(n) = -2*n - 8. Let s = 10 - 8. Suppose s*v - 1 + 13 = 0. Calculate the smallest common multiple of x(v)