Let t(g) = 5*g - 3*g - g + 0*g + 5*g**2. Let o(c) = -c + 29. What is the lowest common multiple of o(9) and t(-1)?
20
Suppose 2*j - 4*j = -32. Suppose 0*y = -y + j. What is the least common multiple of 6 and (y/10)/(2/5)?
12
Suppose 2 = -2*t + 2*m, -2*t - 1 = -4*m - 7. Find the common denominator of ((-1239)/140)/(6/4) and (1065/350)/3 - 1/t.
70
What is the least common multiple of 162 and -60*((-90)/(-20))/(-9)?
810
Let z = 771/4 + -194. Let t = 98714/39 + -2532. Find the common denominator of z and t.
156
Let g(j) = -j**3 - 2*j**2 + 4*j + 4. Suppose 31 = -5*r + 4*z, 4*r + r - z + 19 = 0. Let p(x) = 2*x - 2. What is the smallest common multiple of g(r) and p(2)?
2
Let v = 367 - 356. Calculate the smallest common multiple of 114 and v.
1254
Suppose -5*z + 2*n + 0*n + 58 = 0, -4 = -2*z - 4*n. Let b be (-2)/18*-3*9. Suppose 5*i = b*i + 2. What is the least common multiple of i and z?
10
Let y = -489 + 495. What is the least common multiple of 12 and y?
12
Let k(l) = 15*l + 5*l - 23*l + 7*l. What is the lowest common multiple of 23 and k(2)?
184
Calculate the smallest common multiple of (4624/680)/((-1)/(-65)) and 5.
2210
Let s(c) = -c - 3 + 0*c + 2*c + 1. Calculate the least common multiple of 10 and s(6).
20
Calculate the smallest common multiple of 10 and (5 - -2)*(2 + (-1 - 0)).
70
Suppose 4*h + 10 = -2*v - 0, -5*v + 19 = -h. Let i be 3/42*206 + 4/14. Calculate the least common multiple of v and 13 + (-17)/7 + i/35.
33
Let t be 15/10*(-4)/(-3)*2. Suppose -t*h + 5*h = 3*y + 19, h - 15 = 4*y. Calculate the smallest common multiple of 9 and h.
279
Let b = 536 - 1673/3. What is the common denominator of 67/3 and b?
3
Calculate the common denominator of -97/40 and 4 - 10/60*2718/88.
440
Suppose -90 = -5*k + 5*w, -2*k = -5*k - 2*w + 54. Let j(x) = x**3 + 3*x**2 + 2. Let i = 16 + -19. What is the lowest common multiple of k and j(i)?
18
Let k(p) = 6*p**2 - 9*p + 11. Let m(x) = 3*x**2 - 5*x + 5. Let t(i) = 3*k(i) - 5*m(i). Suppose 0 = 2*d + 1 - 7. What is the least common multiple of t(0) and d?
24
Let u = 465 + -12087/26. Let a = 3678 + -191249/52. Let w = u + a. What is the common denominator of w and -79/2?
4
Suppose -137 = -13*n + 97. What is the lowest common multiple of n and 2?
18
Suppose 4*d - 3*f + 20 = -f, -4*f - 8 = 4*d. Find the common denominator of 1*2 - (d + 408/(-64)) and 40/7.
56
Let j = -9 - -64. Calculate the lowest common multiple of 40 and j.
440
Suppose -7*j = -4 - 17. Suppose 3*q + j*g = -30, 5*q - 2*q = -2*g - 28. Calculate the common denominator of (-250)/12 - (5 + q) and -34/7.
42
What is the lowest common multiple of 77 and -11 + (6 - -1) - (3 + -126)?
1309
Let k = 36969/125338 + -4/2161. Calculate the common denominator of k and 131/6.
174
What is the common denominator of (20/(-14))/(((-84448)/(-882))/26) and 77/10?
580
Let g(f) be the second derivative of -f**2/2 - f. Let i(o) = o - 12. Let q(n) = -3*g(n) - i(n). What is the lowest common multiple of q(9) and 8?
24
Calculate the lowest common multiple of 210/91*(-4615)/(-213) and 30/4*(-8)/(-6).
50
Let m(g) = -2*g**3 - 7*g**2 - 14*g - 6. What is the least common multiple of m(-2) and 46?
230
Suppose -5*w + 29 = -41. Suppose -d = 5 - w. Calculate the lowest common multiple of 2 and d.
18
Let g = -41 - -51. Let a(d) = -3*d**3 + 2*d**2 + d. What is the lowest common multiple of a(-1) and g?
20
Suppose 3*f - 15 = 15. Let c = 43 + -39. Suppose -c*u + 27 - 3 = 0. What is the least common multiple of u and f?
30
Let z = 21 + 21. Suppose z = -g - 197. Let w = g + 3399/14. What is the common denominator of w and -83/16?
112
Suppose -30 = 3*k + 30. Let x = k + 11. Find the common denominator of 34/11 and 2/(-8)*(-76)/x.
99
Let f(q) = -q**3 + 24*q**2 + 46*q + 165. Suppose -2*i + 94 = -2*d, -4*d = -d + 15. Calculate the lowest common multiple of i and f(26).
126
Suppose 2*u + 10 = -0*u - 2*g, -3*g = -3. Let z = 27/5 + -373/70. Find the common denominator of (-265)/u + (-88)/(-66) and z.
14
Let t = -151 + 281. Calculate the least common multiple of 20 and t.
260
Let c = -995 + 999. Calculate the smallest common multiple of 182 and c.
364
Let t be 184/10 - 18/45. Calculate the common denominator of (-52)/40*15/t and 48/7.
84
Let p be (-58)/4140*-1346 + 2/(-9). Let b = -148/23 + p. Calculate the common denominator of b and (77/6 - 2)/(-1).
30
Suppose t - 22 = -0*x + 4*x, -x - 16 = -2*t. Let p = 0 + t. Calculate the lowest common multiple of p and 20/(-8)*36/(-10).
18
Suppose -5*k + 2*p - 94910 = -p, -2*k - 2*p - 37980 = 0. Let i = k - -303859/16. What is the common denominator of i and 89/28?
112
Let w be (-5)/(-25) + (-502)/(-140). Let a = -27/7 + w. Calculate the common denominator of a and 119/20.
140
What is the common denominator of ((-207)/(-92))/(60/(-62)) and 11/14?
280
Suppose 0*y - 5*i = 5*y - 55, 2*i + 74 = 4*y. Suppose 13*q - y*q + 54 = 0. What is the common denominator of (-20 + q)*39/20 and 93/2?
10
Let x = -4 - -6. Suppose -x*n = n - 6. Suppose s - n*s + 10 = 0. What is the smallest common multiple of s and 1?
10
Calculate the smallest common multiple of 2 and 563 + ((-6)/14 - 640/140).
558
What is the common denominator of -19/27 and (-4)/44*2 - 1982/(-132)?
54
Let w be (-6)/(-9162)*189846/(-979). Let a = w - -63497649179/31064707740. Let v = a + -2/5195. What is the common denominator of -69/8 and v?
24
Suppose -5*s + 6*s - 7*s = 0. Suppose -6*p + 5*p + 4 = s. Calculate the lowest common multiple of 16 and p.
16
Let d be 1832 - 8 - (-2 + -1). Let a = d - 3012. Let t = a + 18953/16. Calculate the common denominator of t and 11/12.
48
Let o = 181/12 + 43/6. Calculate the common denominator of o and (-125)/(-15) - 4 - (4 + -1).
12
What is the common denominator of 284/(-8)*(-5)/(-40) and 13/6?
48
Let r = 646487 - 360871. Let b = r - 1153835/4. Let y = b + 2829. Find the common denominator of y and 39/5.
20
Calculate the lowest common multiple of 30 and ((135/(-12))/(-3))/((-3)/(-12)).
30
Let v(t) = t**2 - 3*t - 3. Let g be v(4). Suppose -d + 2 = -g. What is the smallest common multiple of (2/d)/(2/21) and 10?
70
Let m = -58/59 - -2047/1062. Let v be -15 - (-2 - 3 - -2). Calculate the common denominator of m and (-3)/v*186/(-27).
18
Calculate the lowest common multiple of 12 and 1/(-3)*(-69)/23.
12
Let m = -3899 + 327553/84. Find the common denominator of m and -85/36.
252
Suppose 4*w - 3*n = -2*n + 53, 19 = 2*w + n. Find the common denominator of (-8)/(-32) + 103/w and 93/20.
60
Suppose 2*g - 141 = k - 92, 2 = -2*k. Let f(q) = 2*q**2 + 4*q. Calculate the least common multiple of f(-5) and g.
120
Suppose 0 = -102*s + 117*s - 300. Calculate the least common multiple of s and 180.
180
Let p(y) = -y**3 - 3*y**2 - y + 4. Let u be (2 + 1)/1 - 28. Let t = -19 - u. Calculate the least common multiple of t and p(-3).
42
Let f = -751 + 754. What is the lowest common multiple of f and 19?
57
Let x = -45/15908 + 119922593/47724. Let u = x - 2503. What is the common denominator of u and -117/10?
30
Let c(r) = -57*r - 2. Let s be c(-5). Let t = s - 163. Suppose 25 = l - 5*u - 22, -t = -5*l + 2*u. Calculate the least common multiple of l and 10.
110
Suppose 0 = 31*y - 26*y + 20. Find the common denominator of 79/52 and (-1 - (-298)/48) + y.
312
Find the common denominator of -17/48 and (-3298)/(-816) + -3*1.
48
Find the common denominator of -187/120 and -5*(-4)/(-160)*43.
120
Suppose 156 + 108 = 12*u. What is the smallest common multiple of 4 and u?
44
Let g(d) = -d**2 + 13*d + 29. Suppose -3*k = 2*k - 60. Let y = 131 - 1053/8. Find the common denominator of g(k) and y.
8
Suppose 261*x + 8 = 263*x. What is the common denominator of -33/2 and x/1 - 57/2?
2
Suppose 0 = i + 3*j - 69, -i = -2*j + 7*j - 75. Suppose 2*x + 22*x = 9*x + 90. What is the smallest common multiple of x and i?
60
Let w(c) = c + 8. Let p be w(-9). Find the common denominator of (3/(-22))/(3/(-13)) and 510/(-165) + p/2.
22
Let h = 2/33325 + -1966479/5065400. What is the common denominator of h and -31/28?
1064
Let q(d) = d**2 + 6*d - 16. Let x be q(-8). Suppose -4*j = -x*j - 64. Calculate the lowest common multiple of j and (-336)/(-15) + 12/(-30).
176
Let f = 132/83 - 7243/1162. Calculate the common denominator of ((-1)/(-5))/(160/(-2350)) and f.
112
Suppose 0 = 7*a - 30*a + 1104. What is the lowest common mult