 = 3*s - 5*a, s + a - 15 = 2*a. Suppose -10*x = 4*x - 14. What is the lowest common multiple of x and s?
10
Suppose -9*w = -8*w - 448. What is the smallest common multiple of w and (5 + 8 + -27)*-1?
448
Calculate the common denominator of -91/1926 and (-3)/((-2247)/(-2))*(-747)/996.
13482
Suppose -11*p - 50 = -6*p. What is the lowest common multiple of (4/14 + 462/(-245))*-15 and 8/p*(-140)/8?
168
Suppose -529 = -2*f - b, -936 + 142 = -3*f - 2*b. Suppose -3*p + 6*p + f = 0. What is the common denominator of (-14)/(-21) + p/(-30) and -23/3?
15
Let g(k) = -k**3 - 10*k**2 + 8*k - 3. Suppose 4*t - 292 = -o - 3*o, 8 = 2*o. Suppose -13*q + 48 = -t. What is the smallest common multiple of g(-11) and q?
90
Let o = -1084 + 1597. Calculate the least common multiple of o and 270.
5130
Let x = 45662 + -6894927/151. Let y be -7 + (4/18 - (-1306118)/59796). Let k = x - y. What is the common denominator of k and 59/6?
6
Calculate the common denominator of 12/18 - (-3)/(-36)*(-570)/20 and -33/230.
2760
Let v = 4526 + -11252. Let y = -127872/19 - v. Let f = y - -581/285. Calculate the common denominator of f and 19.
15
Let v = 2/559 - -21773/7826. Let z = 4/2213 + -210307/39834. What is the common denominator of v and z?
126
Let j(r) = 2*r**2 - 2*r - 6. Let c be j(0). Let b be 3 + c - 4/4. Calculate the lowest common multiple of b - -1 - (-14 + 0 + 2) and 30.
90
Let d = 291697/1229610 + 1/36165. What is the common denominator of -59/153 and d?
1530
What is the smallest common multiple of 378/(-30)*(-570)/133 and 1296?
1296
Let c(r) = -r**3 + 8*r + 23. Let p be c(-3). Let f = p - -27. Suppose 5*h - 7 = f. Calculate the least common multiple of h and 10.
60
Let o = 1933651607/1134 - 1705160. Calculate the common denominator of -97/1134 and o.
1134
Let t(h) = h**3 + 4*h**2 - 11*h - 41. Let k be t(-8). Let d = -160 - k. Calculate the least common multiple of d and 56.
392
Let p = -35 + 38. Let q be (995/15 + 3)*p. Find the common denominator of 2/(-8) - (-220)/q and 151/12.
156
Let h = 760 + -716. What is the lowest common multiple of h and 344?
3784
Suppose -10*i = -9 - 11. Suppose -68 = -i*k - 20. Suppose 3*r + 2*y - 46 = 0, 2*r - r - 5*y = 21. Calculate the smallest common multiple of r and k.
48
Let a = 2074 - 1930. Calculate the smallest common multiple of 552 and a.
3312
Let f be (-18)/99 + (-180)/(-22). Suppose 0 = -10*c - f*c + 72. What is the smallest common multiple of 26 and c?
52
Let x(r) = -r**3 - r**2 - 2*r. Let d be x(-3). Suppose m = -m + d. Let q = 4286 + -4274. Calculate the smallest common multiple of m and q.
12
Let p(d) = -d**2 + 92*d - 1126. Calculate the lowest common multiple of p(76) and 5115.
30690
What is the common denominator of (-1)/((-24)/(-134)) + 2 and (-2468)/11968 + (-4)/(-68)*-2?
528
Let j(q) = -3*q**2 + 21*q + 29. Let l be j(9). Suppose 21 = -3*n + 141. Calculate the least common multiple of (120/l)/((-3)/10) and n.
80
Suppose -60 + 247 = 5*k - 3*g, 0 = 3*k - 4*g - 110. Find the common denominator of -1/71 and 3/7 - k/(-266).
497
Calculate the common denominator of -9*1 - (-2752)/320 - 473/(-570) and -93/68.
3876
Let s be (-160)/(-15)*(-10 - -1). Calculate the lowest common multiple of 6/((1/(-52))/(8/s)) and 4.
52
Let n(z) be the second derivative of -z**4/6 + z**3/6 - 130*z**2 + 9*z. Let i be n(0). Calculate the lowest common multiple of 9 and (-4)/(-6) - i/15.
18
Find the common denominator of 5/1001 and (1665/420 + -5)*(-2)/(-65).
10010
Let d(a) = 2*a**2 + 63*a + 181. Let s be d(-25). Let l = 2736 - 24572/9. Find the common denominator of l and ((-189)/s)/(-21)*178.
72
Let g(l) = l**3 + 11*l**2 - 2*l - 36. Let r be g(-11). What is the lowest common multiple of 21 and (-35)/r*(-216)/(-10)?
378
Let q(u) be the third derivative of 11*u**4/12 - 2*u**2. Suppose -1488 = -123*n - 258. What is the smallest common multiple of n and q(1)?
110
Let n be (-3514)/56 - (-1)/(-4). Let d = 153 + n. Calculate the least common multiple of 27 and d.
270
Suppose 13*w = 15*w, -r - 6*w + 3*w + 695 = 0. Calculate the smallest common multiple of 1529 and r.
7645
Suppose 4*t + 0 = 8. Suppose 34*p = -781*p + 5051 + 3099. What is the least common multiple of (-746)/(-6) + t/(-6) and p?
620
Suppose 0 = 4*w + 2*r - 142, 857*r = -2*w + 860*r + 51. What is the smallest common multiple of w and 2057?
6171
Let k = 583 + -1173. Let y = k + 620. Calculate the least common multiple of y and 30.
30
Let w(m) = m**3 - m**2 - 3*m. Let v be w(0). Let c(f) = 2*f + 14. Let g be c(-13). Find the common denominator of (2 - v)*-1 + g/(-40) and -123/10.
10
Let j = -173 + 177. Suppose 7*y - 180 = 3*y - j*m, -3*y = -5*m - 95. What is the smallest common multiple of y and 40?
40
Let w(n) = 13*n + 265. Let t be w(5). Suppose 113*i - 124*i = -t. What is the least common multiple of 5 and i?
30
Let t = 140 - 38. Find the common denominator of -119/10 and t/(-238) - 913/(-2016).
1440
Calculate the lowest common multiple of ((-21888)/(-1140))/((-6)/(-20)) and 36.
576
Suppose -13*n - 970 = 850. What is the common denominator of -71/20 and (-67)/(-966) - -5*(-8)/n?
1380
Find the common denominator of -53/30 and (260/135)/(-26) + (-1923)/(-54027).
20010
Let o = -2/10769 - -24650249/43076. Let k = o - 597. Calculate the common denominator of 49/316 and k.
316
Calculate the common denominator of ((-136)/4)/((-1840)/60) and 645/30*(-2)/8.
184
Calculate the common denominator of 19/6 and ((-12)/24 + 1353/(-30))*8/3240.
1350
Let c = 3260 - 3257. Let s(n) = -6*n**3 + 2*n**2 - 2*n - 1. Let m be s(2). What is the least common multiple of 21 and (-30)/m + 7/c?
21
Let c(f) = 1511*f - 33. Let i be c(-5). Let g = -106277/14 - i. Find the common denominator of 182/(-20) - -2 - -2 and g.
70
Let t(j) = j**3 - 22*j**2 - 11*j - 21. Let n be t(23). Let f be ((-200)/(-6))/((-7922)/n). Let m = f - -5032/14679. Find the common denominator of m and 28/27.
189
Let b be 5 - 5/(4/4). Suppose 2*u = 3*u + 3, 3*c + 3*u + 18 = 0. Find the common denominator of 183/(-18) + c + b/(-2) and -49/9.
18
Suppose 2*r = h + 25768, r + 7*h - 12866 = 3*h. Let z = r + -154723/12. Calculate the common denominator of z and 3/32.
96
Calculate the common denominator of -637*(-63)/(-277641)*(-6)/(2 + 0) and -2 + 22/(-14) + 2.
791
Let y(w) = w**2 + 10*w - 143. Let n be y(13). Find the common denominator of 5/38 and (-1 - -2) + (-381)/n.
988
Let l = 106361/18 - 5906. Find the common denominator of 59/1562 and l.
14058
Let k(b) = -b**3 + 15*b**2 - 5*b - 45. What is the lowest common multiple of k(14) and 1485?
4455
Calculate the lowest common multiple of ((-118)/8 - 7/28)*-2 and (-47)/(-282) - 1257/(-18).
210
Suppose -5*m + 1 = g - 3*m, -34 = -2*g + 4*m. Let s = 11 - g. What is the least common multiple of s and 216?
216
Let y = 4089 - 686957/168. What is the common denominator of 65/456 and y?
3192
Suppose -4*t + 2*z + 19 = z, 2 = -t - 2*z. Suppose 5*n = 4*h + t, n - 3*h - 2*h + 16 = 0. What is the smallest common multiple of 158 and n?
316
Let d(u) = -2*u**2 - 23*u - 8. Suppose -7*v - 18 = -228. Suppose t - 6*t = 5*z + v, 65 = -5*t + 2*z. Calculate the smallest common multiple of d(t) and 2.
6
Let v = 1291/8 - 4003/24. Calculate the common denominator of ((-295)/400 - (-28)/35)/(4/744) and v.
24
Suppose -5*p = -o + 10 - 307, 2*o - 114 = -2*p. Suppose 72 - 6 = -2*q - y, -2*y = -q - 43. Let b = p + q. What is the lowest common multiple of 24 and b?
24
Let w(x) = 2 + 13*x - 3 + 8*x + 2*x. Suppose 215*o - 312 = 163*o. What is the smallest common multiple of o and w(1)?
66
Suppose -4*u + 95 = -5*i, -4*u = 38*i - 35*i - 71. Let m = -15 - -25. What is the smallest common multiple of m and u?
20
Let r = -1762 - -1770. Calculate the smallest common multiple of r and 164.
328
Suppose m + 9*q - 14*q - 156 = 0, 0 = -5*m - 4*q + 867. What is the lowest common multiple of 266 and m?
2394
What is the lowest common multiple of 70 and 4/((-72)/4326)*-3?
7210
Let v = -432179/90 - -4802. Find the common denominator of (-11)/2 - (-4)/(-10) and v.
90
Let m(w) = w**2 - 5*w - 8. Suppose -7 - 3 = -2*q + 2*y, 35 = 4*q + y. Let n = -19109 - -19119. What is the smallest common multiple of m(q) and n?
80
Let o(z) = -34*z. Let m be o(0). Suppose 3*v + v - 28 = m. Calculate the smallest common multiple of v and 8.
56
Suppose 0 = 2*k + 3*k - 3*u - 111, 0