.
12
Let j(m) = -m**3 + 11*m**2 + 4*m + 10. Let w be j(10). Suppose -39 = -r - w. Let g = 529/4 + r. Calculate the common denominator of g and -63/22.
44
Let y be (-2 - 274/16)/(18/168). Let r = y - -183. Calculate the common denominator of r and 103/22.
22
Suppose -d = -17*d + 96. What is the least common multiple of 8 and d?
24
Let d(p) = -p**3 + 13*p**2 + 16*p - 28. Let l be d(14). Suppose l = -5*w + b + 28, -w - 24 = -4*w + 3*b. What is the least common multiple of w and 39?
195
Let v = -143051 - -69952009/489. Calculate the common denominator of v and 113/30.
4890
Let a = -132031/20 - -6603. Let k = -97/14 - -24/7. Calculate the common denominator of k and a.
20
Let d = -77341/13416 + -15/559. Calculate the common denominator of -101/60 and d.
120
Suppose 43 = 3*t - 5*a, 2*t - 27 = -0*t + 5*a. What is the least common multiple of t and 2/(10/225) + -65 + 60?
80
Let z = -388 - -397. Calculate the lowest common multiple of 104 and z.
936
Let a be (99103/6)/((-4)/(-128)). Let z = 180235454/341 - a. Let y = z + -2/93. Calculate the common denominator of -17 and y.
11
Suppose 2*o + 2*r + 13 = o, 5*r = 4*o + 26. Let q = -1 - o. Suppose -9*g + 7*g = -q. Calculate the smallest common multiple of 2 and g.
4
Suppose 30*k - 25*k - 80 = 0. What is the common denominator of 564/(-27)*6/k*-2 and 52/15?
15
Suppose 5*w = 35945 + 23240. Let k = w - 402427/34. Find the common denominator of k and 41/6.
102
Let o(d) = -d**3 - 18*d**2 + 5*d + 100. Calculate the least common multiple of o(-19) and 3.
366
Suppose 3*k + 1 - 7 = 0. Suppose 5 + 25 = k*o. Suppose 0 = -3*b + o + 15. Calculate the lowest common multiple of b and 2.
10
Let n = -15 - -14. Let s(q) = -2*q + 2. Calculate the least common multiple of (n - -3)*(4 + -2) and s(-3).
8
Suppose -5*v + 14 = 9. Let d = 901 - 3629/4. Calculate the common denominator of -1*v - 385/(-44) and d.
4
Let m = 7 - 3. What is the least common multiple of (-3 + 6)*(-63)/(-27) and m?
28
Let a = 57 - 223. Calculate the common denominator of (-7)/21 + a/330 and 43/25.
275
Suppose 0 = -20*z + 23*z - 363. Suppose z*u - 117*u = -64. What is the common denominator of 149/18 and u?
18
Let c = -6 - -2. Let l = c + 14. Suppose 0 = k - 5*q - 0*q - 24, 2*k - 3*q = 20. Calculate the lowest common multiple of l and k.
20
Let d = -2/1163 + 789/1135088. Calculate the common denominator of -87/4 and d.
976
Suppose -4*a = 4*j - 60, -5*j + 67 = 3*a - 0*a. Suppose -j*m = -4*m - 7. Calculate the lowest common multiple of 5 and m.
5
Let z(o) = 7*o - 9. Let h(k) = -36*k + 44. Let u(g) = 2*h(g) + 11*z(g). Calculate the lowest common multiple of 2 and u(5).
14
Calculate the common denominator of 67/76 and ((-56)/(-21) + 1)*(-9)/14.
532
Suppose 0 = -2*m + 3*m - 4*l - 2, 0 = 3*m + l - 6. Suppose 0 = t - m*k - 12 - 12, 2*t - 5*k - 53 = 0. What is the smallest common multiple of 3 and t?
42
Let r(s) = -189*s + 49. What is the least common multiple of r(-1) and 102?
714
Let w = 3 + 0. Let k(n) = n**2 + 4*n - 139. What is the lowest common multiple of w and k(-14)?
3
Let v = 3461/2 - 1759. Calculate the common denominator of v and ((-5)/4)/(6/(-28)).
6
Let l = -19 + 33. Let r be 2/(-3) + (132/9)/4. Calculate the smallest common multiple of 61/r - (-17)/(-51) and l.
140
Let v = -9 - -4. Let t = 476 + -1448/3. Find the common denominator of t and (-1)/v*690/(-24).
12
Let n = -24 - -508. Calculate the lowest common multiple of n and 22.
484
Let f = 165 + -81. Suppose 6*y = -24 + f. Let i(b) = 15*b**3 - b**2. Calculate the lowest common multiple of i(1) and y.
70
Let c = -95711/2810 + 270/281. Let p = 12/5 - c. What is the common denominator of (8217/(-264))/((-30)/4) and p?
20
Suppose -5*o - k - 2*k = -787, 4*o + 3*k = 629. What is the least common multiple of o and 22?
1738
Let i = -31627/4440 - 1/555. Suppose -2*q - 15 = -51. What is the common denominator of i and (65/q)/5 + 1?
72
Let l be (0 - -14)*(-15)/(-15). Calculate the smallest common multiple of -11 + l + (-4)/(-2) and 10.
10
Suppose -5*f + 9 = 3*d - 13, -2*d - 27 = -5*f. Suppose f*x - 1 = k, 0*x = 3*k + 4*x - 35. What is the lowest common multiple of k and 12?
36
Let k = 16819665 - 235316665/14. Let t = 11324 - k. What is the common denominator of t and -1 - ((6 - 2) + 106/(-36))?
126
What is the common denominator of 185/(-320) + 1/(-4) and 1/48?
192
Suppose -a + 1 + 4 = 0. Let h = 417 - 419. Find the common denominator of (-1042)/180 - h/a and 23/26.
234
Let d = -8/39 - 175/858. Let g be ((-27)/(-2))/(15/(-20)). Calculate the common denominator of d and (-42)/(-8)*(-27)/g.
88
Let u(v) = 100228*v**3 - 7*v**2 + 3*v + 2. Let d be u(7). Let w = 18220259709/530 - d. Let o = -2/265 + w. What is the common denominator of o and -9/10?
10
Let p = 12 - -10. Let m(d) = -3*d**2 + 9*d + 2. Let k(f) = -4*f**2 + 10*f + 2. Let h(r) = -2*k(r) + 3*m(r). Calculate the lowest common multiple of p and h(6).
88
What is the common denominator of (-197)/168 - ((-90)/(-48))/5 and (-65)/660 + (-2)/(-11)?
84
Let t(n) = 2*n**2 - 9*n - 5. Let p be t(8). Suppose p = 6*l - 27. What is the least common multiple of l and 5?
65
Suppose 2*y - 14 = f, 0 = y + 2*y - f - 19. Suppose 0*h + 3*k - 12 = h, -y*h + 5 = -2*k. Suppose h + 3 = 2*w. Calculate the smallest common multiple of 5 and w.
15
Let k be 4/10 + ((-264)/(-10))/4. Suppose -p - 2*r + 7 + 0 = 0, -p + 3*r = -k. Let z(a) = -4*a - 2. What is the lowest common multiple of p and z(-3)?
70
Let r(x) = -4*x - 13. Let w be r(-5). Suppose 5*i - w = 3. What is the common denominator of -50/3 and (2/i)/(27/639)?
3
Let g = -159253/18924 + -2/1577. Find the common denominator of g and -59/80.
240
What is the common denominator of (-2)/12*212/(-2) and -89/15?
15
Let p = -761 - -1127. Calculate the least common multiple of p and 21.
2562
Let y(q) = 3*q - 10. Let z(s) be the second derivative of s**3/6 - s**2/2 + s. Let f be z(5). Calculate the lowest common multiple of 4 and y(f).
4
Let u = 98 + -683/7. Calculate the common denominator of u and (7/49)/(6/(-511)).
42
Suppose 2*w - 16 + 2 = 2*t, -4*t - 22 = -w. Let k = 967/76 + -47/19. What is the common denominator of k and ((-19)/(-148))/((-1)/w)?
148
Let d = 15 - 23. What is the common denominator of -19/7 and (3/(-18))/(d/(-1216))?
21
Suppose 4*a - 88 = -4*s + 6*a, -4*s - a = -88. What is the lowest common multiple of s and 8/((-112)/98) + 21?
154
Find the common denominator of 37/56 and 32/(-40) + (-2429)/1120.
224
Let t(h) = h**2 + 2*h + 3. Let u be t(0). Find the common denominator of 9/u - 98/(-8) and 107/12.
12
Let y = -42409 + 1526579/36. Let u = 128647/20 + -6430. What is the common denominator of y and u?
180
Let x = -9/691 + 32639/12438. Find the common denominator of x and (-7)/3*14*42/(-112).
36
Let a be -6 - -3 - (-1)/((-8)/(-4722)). Let q = 25705/44 - a. Calculate the common denominator of q and 103/22.
22
Let q(m) = 2*m**3 + 3*m**2 + 7*m - 21. Let o be q(3). Let j = o + -54. Calculate the smallest common multiple of j and 9.
27
Let m = 676 + -2685/4. Find the common denominator of 207/(-60)*(-20)/(-8) and m.
8
Let a = -807005897/70 - -11528459. Let s = 1838097/9445 - 20/1889. Let q = s + a. Calculate the common denominator of q and 107/12.
84
Suppose 0 = 3*c - 24 - 42. Let z(r) = r**2 - 5*r + 5. Let v be z(4). Calculate the least common multiple of v - (1 - 2)*3 and c.
44
Suppose 0 = -5*b - 23*b + 420. Calculate the lowest common multiple of 40 and b.
120
Let n be (-2)/(-148)*3/(-6). Let v = 510750885/148 - 3450992. Let w = v - n. What is the common denominator of -28/5 and w?
10
Suppose 4*n - 2050 = -n. Let q be (-16)/(-24) - n/336. Let z = q + 3425/168. What is the common denominator of z and -67/2?
6
Let x(k) = -k - 3. Let i be x(12). Let j = -15 - i. Suppose j = 2*q - 7*q + 2*n + 62, -4*q + 68 = 3*n. What is the smallest common multiple of 12 and q?
84
Let q be -1783*(-1 + 0)*1. Let n = q + -32069/18. Find the common denominator of n and 35/12.
36
Let x(y) = y. Let c be x(-2). Let v be (c/4)/((-6)/(-1992)). Find the common denominator of (v/(-24) - 1) + -2 and 1/10.
60
Suppose -6*y - 6*y + 1788 = 0. What is the smallest common multiple of y and 7?
1043
Let v(o) = o**3 + 8*o**2 + 10. Suppose y = -4*y + 5. Calculate the lowest common multiple of v(-8) and (-2 - y)*84/(-18).
70
Let p(c) be the first derivative of 