 smallest common multiple of 2 and 6/((-1 - 4) + (-490)/(-95)).
38
Let l(a) = -3*a**2 - 19*a - 1. Let w be (45/5)/((-9)/6). Let u(p) = p**2 - 5. What is the least common multiple of l(w) and u(4)?
55
Let q(u) = -u**3 + 23*u**2 + 2*u + 534. Suppose -5*k + 9 = -m - 7, -4*m = 2*k - 46. Calculate the least common multiple of m and q(24).
18
Let n be (-4)/(-14) - 26/91. Suppose 0 = -n*o + 8*o - 16. What is the smallest common multiple of 7 and o?
14
Calculate the common denominator of (24540/(-1175))/(-4) + -5 and 41/10.
470
Suppose 0 = 5*l - 5*c + 160, -4*l - 96 = 5*c - c. What is the common denominator of (-1)/(-10) + l/(-210) and 43/3?
30
What is the common denominator of 58/174 - 11/(-45) and 62/45?
45
Let d = -171 - -178. Calculate the lowest common multiple of 490 and d.
490
Suppose 12*d = 16*d - 968. Suppose -858 - d = -2*j. Calculate the lowest common multiple of 4 and 4/14 + j/35.
16
Let f(b) = -3*b - 9. Let y be f(-4). Suppose -2*x + 15 = y*x. Suppose x*g + 4*z - 19 = 69, -z + 29 = g. What is the common denominator of g and -63/8?
8
Suppose 0*x - x + 4*t - 42 = 0, 0 = 2*x + 2*t + 64. Let i = -7 - x. What is the smallest common multiple of i and 9?
27
Suppose 70*n - 74*n = -180. What is the smallest common multiple of 95 and n?
855
Suppose -23*k + 83 = -22*k. What is the smallest common multiple of k and 4?
332
Suppose i + i - v + 8 = 0, -4*i = 2*v + 32. Let l be (6/(-402))/(i/7883). Let r = l + 15/67. Calculate the common denominator of r and 65/6.
6
Let m be 3 - (173091/33 - 2). Let z = -5244 - m. Calculate the common denominator of -30 and z.
11
Suppose -5*d - g + 30 = 0, -38*g + 40*g = 3*d - 5. Suppose 0 = -4*y - 0*y + 4. What is the smallest common multiple of y and d?
5
Let k be 2/11 + 41155528/(-226355162). Let r = 292070180917/823109680 - k. Let a = r - 1747/5. What is the common denominator of -81/16 and a?
16
Let j = 44 - 42. What is the common denominator of ((-1)/6)/(1/(-119)) - j and -19/3?
6
Suppose -5*y - m - 3 = -0*y, 4*y = -5*m - 15. Suppose y = -44*k + 41*k + 48. What is the smallest common multiple of 4 and k?
16
Let t be 3 - -1 - 4 - 0. Suppose t = 2*r - 5 + 17. Calculate the least common multiple of 16 and 318/27 + r/(-27).
48
Suppose q + 27 = 2*q. Let r = 99 - 69. Calculate the least common multiple of q and r.
270
Let h(r) = -22*r**3 + 3*r**2 + 3*r + 3. Let m = 2 - 5. Let a be h(m). What is the common denominator of 2/(-6) + a/(-18) and 109/6?
6
Let l(i) = 3*i**2 - 28*i - 24. Let t be l(12). Let w = -55 + t. Calculate the least common multiple of 4 and w.
68
Let z = -5/4109 - -382217/65744. Find the common denominator of z and 175/14*(-3)/(-33).
176
Let t = 13926 + -2854846/205. Let v = -19699/2870 - t. What is the common denominator of 89/6 and v?
42
Let m = -1/293 - 19629/586. Find the common denominator of m and 49/44.
44
Let x = 3209 + -16099/5. Find the common denominator of x and 73/20.
20
Let f = 12685/1026 + -380/27. Let z be (0 - (-514)/(-16))*92/(-117). Let b = z - 5/468. Find the common denominator of b and f.
76
Suppose -5*z = 2*h + 20, 5*h + 50 = 5*z - z. What is the smallest common multiple of (h/3)/(1/(-3)) and 10?
10
Let b be 362*197/16 - 0. Let y be (13425/(-6) - -3)*2. Let n = b + y. Calculate the common denominator of n and 1/18.
72
Let r(x) = x**3 + 15*x**2 - 3*x - 33. Calculate the lowest common multiple of 76 and r(-15).
228
Let k(p) = -5*p - 13. Suppose 3*x + 31 = 16. What is the smallest common multiple of 9 and k(x)?
36
Let h = 24/145 + 11117/290. Calculate the common denominator of h and 29/488.
488
Let h = -26146/169071 - -44/291. Let c = h + -37753/3486. Calculate the common denominator of -19 and c.
6
Let c(d) = 4*d**2 - d. Suppose 4*h - 3*s - s = -4, 0 = 5*h - 2*s - 7. What is the smallest common multiple of h and c(1)?
3
Let d(j) = j**3 - 5*j**2 - 8*j - 5. Let s be d(7). Suppose 2*u - 48 = -l + s, 5 = l. What is the smallest common multiple of 1/2 + u/16 and 8?
24
Let z = 571 - 501. What is the least common multiple of 63 and z?
630
Suppose 3*k - 2*r - 3 = 0, -2*k + k - 9 = -4*r. Suppose k*u - 1 - 2 = -2*s, s = 4*u - 4. Calculate the least common multiple of 0 + s - (-32)/8 and 5.
20
Let x = -391/36 + 11/18. Suppose 0*v = 5*v - 2785. Let s = 1706/3 - v. Find the common denominator of s and x.
12
Suppose 15 = 12*l - 7*l, 0 = -4*y - l + 43. Calculate the smallest common multiple of 512 and y.
2560
Let w = 185959/1446624 + -3/40184. Find the common denominator of -15/16 and w.
288
Let y(m) = 3*m + 1. Let f be y(1). Suppose f*x + 3 - 7 = 0. Calculate the least common multiple of -3 + 2/2 - -10 and x.
8
Find the common denominator of -10/9 and ((-52)/8)/(216/15).
144
Let a = -352 - -356. Let q(n) = -n**3 - 4*n**2 + 5*n + 1. Let p be q(-5). What is the lowest common multiple of -4*p*1*-2 and a?
8
Let n = 615 - 652. What is the common denominator of 12/59 and n?
59
Let z(s) = -25*s**3 + 2*s**2 - 1. Let t be z(1). Find the common denominator of 7/40 and (-2)/(-6) - 170/t.
120
Let d be 2631/(-8)*(-420)/(-450). Let u = -615/2 - d. What is the common denominator of (-1 + (-5)/18)/1 and u?
180
Suppose -4*w + 3*p = -135, -3*w + 5*p + 88 = -27. Suppose 3*a + w = -135. Let j = -609/11 - a. Calculate the common denominator of j and 7/3.
33
Suppose 8 + 11 = -k. Let b(s) = -s**2 - 23*s - 26. What is the least common multiple of 2 and b(k)?
50
Let c = -21335/19547 - -1/1777. Calculate the common denominator of 41/21 and c.
231
Suppose -5*y + 404 + 388 = 4*k, 2*y - 2*k - 306 = 0. Let b = -19101/20 + 960. What is the common denominator of (-285)/y*6/(-15) and b?
260
Let t = 965/174 - 4/87. What is the common denominator of t and ((-4)/6 - -4)/((-16)/42)?
4
Let p = 146 - 77. What is the least common multiple of 12 and p?
276
Let b be (4 + (-33)/9)*33. Let g(p) = 2*p - 27. Let o be g(b). What is the common denominator of -85/6 and (-1)/o - 2984/320?
24
Let t(q) = -q**2 - 11*q + 11. Let u be t(-12). Let a(p) = 23*p**3 - p. Let n be a(u). Let o = -12 - n. Calculate the least common multiple of o and 7.
70
Let j(m) = -m**2 + 5*m - 4. Let c be j(7). Suppose -17 + 1 = -4*r. Find the common denominator of 97/22 and 0 - c/r - 0.
22
Let v = -8621608/11 - -228638374/297. Let b = 13954 + v. What is the common denominator of b and -73/30?
270
Let k(w) = -w**2 - 3*w + 13. Calculate the lowest common multiple of (-1)/3 + (-25)/(-3) and k(-4).
72
Calculate the common denominator of 41/28 and 39/20*(-6)/((-720)/(-125)).
224
Let d(p) = -p**3 - p**2 + p - 1. Let r(v) = -3*v**3 - 5*v**2 + 4*v - 6. Let m(a) = 2*d(a) - r(a). Calculate the lowest common multiple of 22 and m(-3).
110
Let r be 0 - (-2006)/(-96) - 0. Let o be (1 - (-225)/20)*9/28. Let p = o - r. What is the common denominator of p and -20/7?
42
Calculate the common denominator of (-6)/(-450)*-5*355/(-2) and -69/58.
174
Let o(t) = t + 8. Let x be o(-5). Suppose -3*n + 32 + 124 = -i, -n = x*i - 42. Calculate the least common multiple of n and 15.
255
Let o(z) = 2*z**3. Let p(w) = w**2 - 2*w - 7. Let g be p(5). What is the lowest common multiple of o(1) and 1 + g + -1 + -2?
6
What is the common denominator of -2 + (-23191)/(-6006) + (-4)/(-26) and -37/18?
198
Let i be 1/2*2 + -4 + 4. Calculate the common denominator of 121/190 and i + ((-243)/(-24))/(-9).
760
Let x(s) = 7*s - 1. What is the lowest common multiple of x(1) and (10/35)/((-1)/(-7))?
6
Let l(f) = 4*f + 6. Let v be l(5). Suppose 14 = -4*d - v. Calculate the smallest common multiple of (2 + d/4)*-6 and 8.
24
Suppose 2*b + s + 30 = 0, -5*s + 11 = -5*b - 79. Let v = b - -30. Suppose 2*k = 4*j - 64, -k - 15 = -3*j + 33. What is the lowest common multiple of v and j?
112
Let g = -17891/4 - -4498. Let j = -1863 + 26011/14. Find the common denominator of j and g.
28
Calculate the common denominator of ((147/(-180))/7 - -6) + -4 and -77/60.
60
Suppose 2*m = -3*m - 5*s + 30, -40 = -5*m + 5*s. Let o be 1/(-1)*1*-4. What is the smallest common multiple of m and (-9 + o)/((-2)/2)?
35
Suppose -2013 = -12*i - 657. Let j = 125 - i. Calculate the least common multiple of 16 and j.
48
Let f(l) = l**3 + 3*l**2 - 11*l - 5. Let p be f(-7). Let m = 83 + -97. Find the common denominator of 60/(-40) + p/m and -13/10.
70
Let p(f) = f + 1. Let h be p(-5). Let b = 20 - 12. Find the common denominator of -95/6 and 7 + h + 43/b.
2