.
264
Let j(y) = -12*y**3 - 2*y**2 + 2*y + 4. What is the least common multiple of j(-2) and (0 + -3)/(9/(-6))?
88
Let o = -61 + -35. Let s(a) = -a**2 - 7*a. Calculate the least common multiple of (18/8)/((-18)/o) and s(-4).
12
Let m = 22 + -2. Find the common denominator of -71/8 and (-115)/m + 0 + 4.
8
Let m = -366/21444971 - 1709354905207/134073958692. Let c = m + -1/1563. Find the common denominator of c and (650/(-144) - -2) + (-52)/(-416).
36
Let t = -1573/18 + 79. Let z = 52303 + -3765905/72. Find the common denominator of z and t.
72
Find the common denominator of -26/7 and (4 + -1)/(132/30 - 4).
14
Calculate the common denominator of 99/16 and (-4)/(-180)*10 + 202/(-72).
48
Suppose 5*n + 2*o + 5 = 0, 9 + 18 = 2*n - 5*o. Calculate the least common multiple of n and 18.
18
Suppose 5 = a + 4*n, 5*a + n - 13 - 12 = 0. What is the least common multiple of 225 and a?
225
Let r = 19345375 + -638627179/33. Let f = r + 6963. Calculate the common denominator of f and -133/18.
198
Calculate the smallest common multiple of ((-4)/6*222/2)/(-2) and 7.
259
Let p = 130 - 147. Calculate the common denominator of (-189)/(-540)*(-1 + 1 - p) and -51/4.
20
Let r = 22/365 - -859/8760. Calculate the common denominator of 53/120 and r.
120
Suppose -2*b = 10, 2*b - 4 = -3*r + 40. Suppose 44 = v + 3*v. Suppose -s = -n + v, 3*s + 32 = -5*n + 79. What is the lowest common multiple of r and n?
90
Let g = 115793261357/14144200 + -4/1768025. Let l = g - 8198. Calculate the common denominator of ((-356)/16)/(7 - 2) and l.
40
Let n(m) = 2*m**3 + 14*m**2 + 2*m + 16. Let a be n(-7). Suppose -105 = -5*r - a*r. Calculate the smallest common multiple of 78 and r.
390
Let d = -12 + 10. Let y = 8359/4 + -2073. Find the common denominator of (1/d)/(3/294) and y.
4
Let i(x) = 22*x - 33. Calculate the least common multiple of 24 and i(3).
264
Let n(a) = 3 + 7*a - 8 - 4. Let r(z) = -3*z + 4. Let m(s) = 2*n(s) + 5*r(s). What is the lowest common multiple of m(0) and 18?
18
Let k = -265 - -5829/22. Suppose s = -4*b - 27, 0*b - 4*b = -2*s + 18. Calculate the common denominator of k and 161/168*b/(-4).
176
Suppose 4*p - 26 = 18. Suppose p*q - 95 - 15 = 0. Calculate the lowest common multiple of 8 and q.
40
Suppose 74*h - 56*h = -522. Calculate the common denominator of h and (-4)/5*(-50)/(-12).
3
Let f be (5 - 4) + -27 + 0. Let o = 46 + f. Calculate the least common multiple of (198/45)/(-6 - 192/(-30)) and o.
220
Let u = -45 + 49. Suppose 0 = 2*t - 14 - u. Let x = -1 - -7. Calculate the least common multiple of x and t.
18
Calculate the common denominator of -5 + -1 - 4838*2/(-1560) and -22/15.
390
Let z(g) = -17*g**2 + 21*g - 20. Let c(f) = 3*f**2 - 4*f + 4. Let h(u) = -11*c(u) - 2*z(u). What is the lowest common multiple of -1*(-1 + 2) + 13 and h(-4)?
12
Suppose -23*n + 182 = -10*n. What is the lowest common multiple of 174 and n?
1218
Let o(l) = -569*l + 80. What is the smallest common multiple of 295 and o(-1)?
3245
Let m = 1 - -23. Calculate the least common multiple of m and 9.
72
Suppose 115*a - 1890 = 85*a. Calculate the lowest common multiple of 6 and a.
126
What is the least common multiple of (-10 - 188 - -6)*(-2 + 1) and 8?
192
Let n = -14 + 14. Suppose 0 = -j - 4*o + 18, -27 = -n*j - 2*j - 5*o. Find the common denominator of 83/12 and (-807)/72 + (-4)/j.
24
Let l = -84/41 + 8149/1476. What is the common denominator of l and -99/32?
288
Let m = -56671/30566 + 1/899. Calculate the common denominator of (-9 + 28)/(9*8/4) and m.
306
Suppose -11 = -2*r + 13. Let j(u) = -2*u**3 - 11*u**2 + 3*u - 9. Calculate the least common multiple of j(-6) and r.
36
Find the common denominator of 13/27 and -6 + (49/(-29))/((-111)/407).
783
Suppose -8 = -2*s - z - 3*z, -3*z + 13 = 5*s. Suppose 3*w = -s*n + 38, -5*n + 2*w = -46 - 30. Let t = 12 - 4. Calculate the smallest common multiple of n and t.
16
Let r = 1/90 + 1597/45. Let u = 68033/18 - 3787. Calculate the common denominator of u and r.
18
Suppose -3*c + 6*p = 3*p - 3, -2*p = -5*c + 11. What is the lowest common multiple of 255 and c?
255
Let m(u) be the third derivative of -u**4/24 + u**3/2 - u**2. Let s(c) = 26*c + 297. Calculate the least common multiple of m(-5) and s(-11).
88
Suppose -77 = 4*i - 5. Let l be (-7133)/2377 + i/(-6). Let y = l + -54643/33278. What is the common denominator of y and 123/10?
70
Let b be -3 + (42 - 0) + -3. Suppose 5*u - b - 54 = 0. What is the lowest common multiple of 22 and u?
198
Let s(u) = -16*u - 379. What is the least common multiple of 26 and s(-31)?
234
Suppose -h + 5730 = -3*p, -5*p = -h - 2148 + 11698. Let m = p - -19039/10. What is the common denominator of 113/10 and m?
10
Let v(f) be the third derivative of 47*f**5/60 - f**3/6 - 20*f**2. Suppose -2*a = -9 + 1. Calculate the smallest common multiple of a and v(1).
92
Suppose 31*g - 32*g + 414614 = 0. Let n = g - 8877300352/21411. Let p = -735095/171288 - n. Calculate the common denominator of p and 43/6.
24
Suppose -2*m = 4*n + 20, 3*m = 3*n + 5 + 10. Let r be -211*(865/(-6))/n. Let c = r + 6103. What is the common denominator of c and 11/2?
6
Suppose 2*p = -4*g + 544, 4*g - 520 = 4*p - 0*p. Suppose 5*r = -g + 44. Calculate the common denominator of -11/6 and -1 + 2 + (-435)/r.
6
Let x = 72869 - 5246443/72. What is the common denominator of x and 50/603?
4824
Let j be (9/(-3))/3 + (-65996)/36. Let f = 1836 + j. Find the common denominator of 34/9 and f.
9
Let g = 45139670/89 - 528879053679/1042724. Let i = -2/2929 - g. Calculate the common denominator of -69/20 and i.
20
Let l(x) = -4 + 2*x**2 - 42*x + 18*x + 25*x. Calculate the lowest common multiple of 12 and l(2).
12
Let w = 61 - 43. Suppose -15*f = -12*f - w. Calculate the smallest common multiple of f and 1.
6
Suppose j - 3*j = -30. Calculate the common denominator of ((-225)/(-55) - 4)*j and 3/8.
88
Suppose -5*s + 124 = 2*b, -5*s - 10*b = -12*b - 136. Calculate the lowest common multiple of 2 and s.
26
Let s be 2/6*(1 - 2)*6. Calculate the common denominator of (s/64*-4)/((-4)/(-110)) and -121/12.
48
Let g = 19 - 9. Find the common denominator of -57/8 and (g/(-9))/(10/(-25)).
72
Suppose 0 = -3*c - 5*n + 73 + 2, n = 3. Calculate the least common multiple of ((-132)/9)/((-8)/12) and c.
220
Let p = 23943/7730 + -31/10. Let c = 3106/5411 + p. Calculate the common denominator of ((-33)/110)/((-9)/(-291)) and c.
70
Let v be (14/(-294))/((-156)/14). Let i = v - -2162/585. Calculate the common denominator of 37/18 and i.
90
Calculate the common denominator of ((-5)/15)/(90/474) and 54/5.
45
Let z(l) = 26*l + 35. Calculate the lowest common multiple of 186 and z(-1).
558
Let c = 8437/268 + 5/268. Let i be ((-795)/(-267) - 3)/3. Let g = -2114/2937 + i. Calculate the common denominator of c and g.
22
Find the common denominator of 415/(-12)*3*9/(-7110) and 45/14.
4424
Suppose 2*j + 4*w = 238, 5*w = -5*j - 19 + 589. Suppose j = 5*r + 4*f, -3*r + 0*f + 65 = 2*f. Calculate the least common multiple of 21 and r.
21
Find the common denominator of -62/51 and 28*(-35)/66 + 2/11.
51
Let r = -980 - -9791/10. Calculate the common denominator of (-138)/24 - 6/(-2) and r.
20
Let t be 42 + (1 - (4 - -1)). Suppose t = 4*l + 14. Find the common denominator of -16/5 and (-94)/21*l/4.
35
Calculate the common denominator of (4/(-20))/(2/(-3)) and 79/140 - 114/(-399).
20
Let v(b) = -29*b - 19. Calculate the lowest common multiple of 3 and v(-1).
30
Suppose 0*r = 2*r - 5*f - 33, 0 = 2*r + 3*f + 7. Suppose 13 = -r*o + 5, -4 = -2*u - 5*o. What is the lowest common multiple of u and 5?
35
Let c(n) = n**3 - 14*n**2 + 13*n + 2. Let v(o) = -4*o - 18. What is the lowest common multiple of v(-7) and c(13)?
10
Suppose 0 = -2*r - 2*j + 4 + 18, -3*r - 4*j + 32 = 0. Suppose 9*a - 8*a = r. Calculate the least common multiple of 15 and a.
60
Suppose 2*l = 9 + 3. Suppose -5*t = -3*t - 32. What is the lowest common multiple of t and l?
48
Suppose 8*t - 18 = 10*t. Let q = t - -19. Calculate the least common multiple of q and 16.
80
Calculate the common denominator of (-711)/33*1/(-18) and 2/8 - 1007/304.
528
Let f be 13 - (-4 - (-2 + 0)). Let k be (-5)/f - (-16)/3. Suppose y = -k*y + 30. Calculate the lowest common multiple of y and 11.
55
Let w = 948133/56 + -16930. What is the common denominator of 63/32 and w?
224
Calcu