*s - 1. Let m(g) = -8*n(g) + 3*p(g). Let c(q) = 7*q + 81. Let h be c(-11). What is the least common multiple of 9 and m(h)?
72
Suppose 83 = g - 55. Calculate the common denominator of -69/16 and g/16 + 0/(-2).
16
Let x = -6 - -3. Let i be -3 + (x - -2 - 2). Let r(j) = j**2 + 5*j - 2. Calculate the lowest common multiple of 20 and r(i).
20
Let f(p) = -32*p**3 + 2*p**2 - 6*p - 3. Let r be f(-5). Let b = -816089 + 7381544/9. Let t = b - r. What is the common denominator of 2 and t?
9
Suppose 0*n = -n - 4*d + 36, -3*d = -n + 36. What is the lowest common multiple of 36 and n?
36
Let s = 11281/578 - 5/289. Calculate the common denominator of s and -87/100.
100
Let w(b) = b**2 - 2*b + 1. Let f(q) = -4*q**2 + 10*q + 15. Let n(y) = -f(y) - 3*w(y). Suppose -18 = -4*v + 2. What is the least common multiple of v and n(7)?
15
Let s = 233/32 + -229/160. What is the common denominator of s and 2/(-5) + (-76)/(-640)?
160
Suppose -b + 4 = -9. Suppose -2*f + 3*d = 10, f + 2*d = -d + b. What is the least common multiple of 11 and f/6 + (-20)/(-24)?
11
Let n be (4906/(-132))/((-15)/19657). Let y = n + -456118/9. Let h = -1980 - y. What is the common denominator of 121/20 and h?
20
Let z(g) = -g**3 + 15*g**2 - 14*g + 14. Let u be z(14). Find the common denominator of u/56 - ((-423)/28)/(-3) and (1/(-6))/(2/214).
42
Suppose 8*w - 6*w - 430 = 0. Suppose -6*t + 31 = -w. Suppose -5*q + 129 = -t. Calculate the smallest common multiple of q and 22.
374
Suppose 6 = 2*o - 8. Let d = 15 - o. Suppose -2*g - 102 = 4*q - 9*q, 0 = -4*q - 2*g + 78. What is the lowest common multiple of d and q?
40
Let u(m) = m**2 + 23*m + 84. What is the least common multiple of u(-19) and 52?
104
Let d be 1/(-2)*-2 - -21. Let y = 23 - d. Calculate the smallest common multiple of y/5 + 38/10 and 13.
52
Let v be 6/4 - -842*4782/208. Let s = v - 19360. What is the common denominator of s and -113/18?
468
Calculate the least common multiple of -3 - 1/((-5 + 0)/90) and 45.
45
Let d = 100 - 116. Let g(m) = -m**2 - 20*m - 24. What is the smallest common multiple of 20 and g(d)?
40
Calculate the common denominator of ((-204)/(-8))/(1*(-18)/(-5)) and 308/6*6/(-32).
24
Let q = -1361 + 1622. What is the least common multiple of 58 and q?
522
Let h be 1388/4 + (6 - 3). Let y = h + -16105/46. What is the common denominator of -57/14 and y?
322
Let m(y) = y**2 - 13*y + 1. Let n be m(12). Calculate the least common multiple of 3 - 3 - (n + 0) and 3.
33
Suppose -u - 1 - 9 = 5*v, v - 7 = -2*u. Suppose -6*b = -u*b - 21. Suppose 0*r + b = 3*r. What is the least common multiple of r and 10?
70
Let c = -3/1219 + -69417/26818. Let i = 3510683/60 + -58514. Find the common denominator of i and c.
660
Suppose 2*k + 8 = 10. Suppose 2*x - x = -5*f + 3, 5*f - 3*x + 9 = 0. Suppose f*a - 2 = -a. What is the lowest common multiple of a and k?
2
What is the common denominator of (-394 - -1)*(-2)/72 and 49/2?
12
Let r(l) = 18*l + 124. Calculate the lowest common multiple of r(4) and 84.
588
Let b = -10813/46470 + -1/1549. Find the common denominator of b and 64/55.
330
Let w = 404/11 - 13854/385. Find the common denominator of w and -22/21.
105
Suppose 0 = -4*o + 2*y + 2*y - 120, -o - 5*y = 12. Find the common denominator of (615/o)/5 - -4 and -58/45.
45
Suppose 0 = 417*i - 427*i + 10. Calculate the smallest common multiple of i and 3.
3
Let n be (-11264)/110 - (4/(-10) - -1). Find the common denominator of (-4 - (-146)/36)*n and 115/12.
36
Suppose -s - 4*h = -24, -2*h - h = 3*s - 27. What is the least common multiple of (-2 - 10)/(-1) - s/2 and 18?
90
Let k(s) = -710*s**2 + s + 2. Let j be k(-4). Let r = -158971/14 - j. What is the common denominator of r and 37/6?
42
Suppose -5*u = -2*r - 88163, -5*u + 52895 = -2*u - 4*r. Let b = 423299/24 - u. What is the common denominator of -13/2 and b?
24
Let h = 13408 - 442517/33. What is the common denominator of (1358/(-175))/(24/(-10)) and h?
330
Let n = -1848 + 1854. Calculate the smallest common multiple of 13 and n.
78
Let g = 31611 - 948239/30. Calculate the common denominator of -2 + 242/18 - 3 and g.
90
Suppose 1008 = -2*d + 2*f, -d - 704 + 185 = -4*f. Let v = d - -5993/12. Find the common denominator of v and 65/12.
12
Suppose -h = 3*h - 376. Let v = 1/446 - -665/1784. Calculate the common denominator of (h/6)/((-8)/12) and v.
8
Suppose 5*y = 780 - 795. Let i be 8*-1*6/(-2). What is the lowest common multiple of 22/y*i/(-8) and 4?
44
Let f = 993/7 - 63531/448. What is the common denominator of f and 4/15?
960
Let a(z) = -z**3 - 7*z**2 + z + 34. Calculate the lowest common multiple of 30 and a(-7).
270
Let t be (5/(-4))/((-16)/64). Suppose t*o - 14 = -4*i, 2*o = -3*i - 3*o + 8. Calculate the least common multiple of 195/(-10)*2/(-3) and i.
78
Let v be (-306)/1804 + (-12)/(-72). Let y = -136661/2706 - v. What is the common denominator of 65/46 and y?
46
Let f = -6/325 - 2143/7150. Find the common denominator of -17/206 and f.
2266
Suppose -31*s + 2856 = -7*s. Calculate the lowest common multiple of s and 68.
476
Let n be (-1)/3 + -3 + 240/18. Suppose 37 = n*u - 3. Calculate the smallest common multiple of 3 and u.
12
Let i = 27 + -25. What is the common denominator of -99/4 and 2610/104 - i/(-13)?
4
Let o be 3674/(-14) + -7 + 10. Let d = 72591/280 + o. Find the common denominator of d and 15/22.
440
Let l(m) = -m**2 - 14*m + 1. Let p = 144 - 151. Calculate the lowest common multiple of l(p) and 20.
100
Let t = -36 - -70. Let d = t + -23. Suppose -12*v + 50 = 14. What is the least common multiple of d and v?
33
Let b = 882755/44 - 20064. What is the common denominator of b and 29/22?
44
Let v = -64/15 + 253/60. Calculate the common denominator of -13/20 and v.
20
Calculate the common denominator of -129/70 and (1/4*12)/(49/19).
490
Let j be (-18)/4*(-14)/(-21). Calculate the common denominator of 1 - (210/44 - 0) and j/33*(-159)/(-6).
22
Let v be (6/(-2874)*(-2)/(-34))/3. Let u = v + -838723/146574. Calculate the common denominator of 26/9 and u.
18
Let c(x) = 2*x**2 + 3*x. Let m be c(3). Suppose -5*u = -4*t - m, 1 + 3 = -t + 4*u. What is the common denominator of (-14)/(t/(-84)*-12) and -81/4?
4
Let x = 6 + -22. Let d = -12 - x. What is the common denominator of d + -2 + (-71)/6 and -85/12?
12
Let m = -5/677 - -14327/14894. Find the common denominator of m and (-2 + 5 - (-47)/(-16))*71.
176
Calculate the smallest common multiple of 54 and 304096/1300 + (-6)/(-75).
702
Suppose -t - 3*a - 4 = 0, -4*a = 3*t - a - 6. Let g(c) = c - 2. What is the smallest common multiple of -1 - (-2 + 4 - 4) and g(t)?
3
Suppose -3*u = 6, 2*x + 2*u + 50 - 6 = 0. Calculate the common denominator of -1 - (x/7 + 0) and -3 + 4 - (-66)/(-5).
35
Suppose -8 = 4*u + 4*c, 0 = -5*u + 4*c - 5*c - 2. Suppose u = 3*h + q - 6, -4 = -5*h - q + 4. Calculate the common denominator of 83/12 and h/(16/(-60))*10.
12
Let h = -48931/20 - -2444. What is the common denominator of 63/272 and h?
1360
Suppose -3*f + 122 = 4*d, -5*d + 2*f = 4*f - 149. Find the common denominator of d and -10/17.
17
Suppose -168 = -2*j - 5*k, -21*k = -23*k. Calculate the smallest common multiple of 30 and j.
420
Let v = 24 + -22. Suppose 0 = -v*h - 4*j + 22, -4*j = -4*h - 0*h + 32. Calculate the smallest common multiple of h and 3.
9
Suppose 0 = 23*n - 18*n - 80. What is the least common multiple of 16 and n?
16
Let s be (982/4)/(2/(-7)). Let b = -868 - s. What is the common denominator of (-24 + 1)/((-49)/14 + 1) and b?
20
Suppose 0 = 3*i + 2*u + 5, 49*i + 7 = 48*i - 2*u. Let c(w) = w - 2. Calculate the smallest common multiple of i and c(4).
2
What is the common denominator of 77/93 and (-1)/(-4) + (-507)/72*-2?
93
Let w = 2 + 1. Suppose 0 = -w*t + 2*t + 4. Calculate the common denominator of 15/4 and (-13)/(((-48)/21)/t).
4
Suppose -40*t + 740 = -45*t. Let o = t + 2959/20. Calculate the common denominator of 71/2 and o.
20
Calculate the common denominator of -43/138 and (-9009)/(-8424)*(-10)/(-7).
828
Suppose -u + 25 = o, -2*o + 24 = 3*u - 48. Calculate the smallest common multiple of u and 14.
154
Let s(t) = -t**2 - 1. Let i(b) = 5*b**2 + 9*b + 8. Let y(w) = -i(w) - 6*s(w). What is the least common multiple of 8 and y(10)?
8
Let b be (-104)/(-18) - 2 - 24/(-108). Let c = -19 + 29. Suppose -c = 5*l, -2*k - b*l + 0 = 2. What is the low