at is the common denominator of -97/14 and 837/12*(-2)/21?
14
Let q = -365/3 - -126. Find the common denominator of -77/2 and q.
6
Suppose -4*y + 6*y - 8 = 0. Calculate the smallest common multiple of y and 58/6 - (-1)/3.
20
Let h(d) = d**3 + 6*d**2 - 8*d + 2. Let n be h(-7). Suppose -3*s + n = -2*s. Calculate the lowest common multiple of 7 and s.
63
Calculate the common denominator of (-8)/(-6)*4/(-120) and 37/15.
45
Let o = -4853/456 - -1/57. Find the common denominator of o and 151/48.
48
Let s be (-4)/(-6) + 503854/12. Let t = s - 40868. Let v = t - 1077. Calculate the common denominator of v and 11/16.
16
Suppose -4*h = 3*v - 2068, 524 = h - 0*h - v. Let i = -5741/11 + h. Calculate the common denominator of i and -4 + 1 + (-372)/(-8).
22
Let v(b) = -2*b - 1. Let z be v(-2). Suppose 2*x - 343 = -h, 2*x + 5*h - 855 = -z*x. What is the common denominator of (x/12)/((-28)/(-6)) and 97/14?
14
Suppose 2*k = 7*k - 162480. Let h be 2 - 2*32498/k. Let t = 207167/40620 + h. Calculate the common denominator of -149/12 and t.
60
Let h(f) = -f - 1. Suppose -j - 6 = -7*j. What is the smallest common multiple of h(-5) and j?
4
Let f(l) = -l**2 - 8*l - 1. What is the smallest common multiple of 30 and f(-5)?
210
Suppose 3*q - 440 = -n + 112, 1670 = 3*n - 5*q. Find the common denominator of 1 + (n/48)/(-5) and 61/10.
80
Suppose 0 = 3*p - 6 - 0. Calculate the common denominator of -19 and (p/6)/((-15)/(-171)).
5
Let q(c) = -c**3 + 5*c**2 + 7*c. Let f be q(6). Suppose f*w = 2*w + 12, 2*v = -4*w + 30. What is the smallest common multiple of v and 6?
18
Let u(m) = m - 3. Let v be 6/4*28/6. Let d = v + 2. What is the least common multiple of u(d) and 6?
6
Let z(w) = -9*w**2 - 3*w - 2. Let b = 6 - 8. What is the common denominator of ((-1)/(-8))/(6/(-536)) and z(b)?
6
Calculate the common denominator of 2/(-4)*213/(-24) and 5/16.
16
Let q = 70953/5564 + -3/1391. Let a = 6857/3410 + -51/155. Calculate the common denominator of a and q.
44
Let x = 13 + -9. What is the least common multiple of x and 10?
20
Let k be ((-5)/6)/(4/(-31574)). Let q = 6583 - k. What is the common denominator of q and (5/(-165))/((-4)/(-414))?
132
Let w = -64 + 86. What is the lowest common multiple of 64 and w?
704
Let q(s) = s**3 + 5*s**2 - 6*s + 2. Let u(m) = m - 6. Let k be u(0). Let p be q(k). Suppose p*g + 0*g = 32. What is the smallest common multiple of 6 and g?
48
Suppose -2*c + c - 2*s - 78 = 0, -4 = -2*s. Calculate the smallest common multiple of 12 and 5/(-10) - c/4.
60
Suppose -25 + 1 = -4*k. Suppose 5*i + 1 = k. Calculate the least common multiple of 8 and i.
8
Suppose 3*f - 507 = -5*y + y, f = -3*y + 374. What is the smallest common multiple of 8 and (-4)/8 + y/6?
40
What is the common denominator of ((-755)/25)/(12/10) and (-2)/4*101/2?
12
Suppose 0 = -2*h + v - 3*v + 6, 2*v - 3 = h. Let u be h/(-4) - 18/(-8). Suppose 3*z + u*z = 60. What is the smallest common multiple of 6 and z?
12
Let y = -3 - -7. What is the common denominator of y/(-4) + (-46)/(-18) and ((-5)/18)/((-1)/16)?
9
Let b(r) = r**2 + 7*r - 12. What is the least common multiple of (4 + -6)*(-20)/4 and b(-9)?
30
Let i(o) = 2*o + 2. Let n be i(-2). Calculate the common denominator of 69/4 and -14*2*n/36.
36
Let d be 3*1/(-3)*-1. Let j = d + 1. What is the lowest common multiple of j and 16?
16
Suppose -4*s = k + 2*k - 31, -3*s + 39 = -3*k. What is the smallest common multiple of 336 and s?
1680
Let u(b) = 4*b**2 - b + 6. What is the least common multiple of 12 and u(2)?
60
Suppose 2*y - 550 = -0*y. Let s(t) = -t**2 + 7*t + 8. Let x be s(7). Calculate the common denominator of -5/14 and 10/x*410/y.
154
Let s = 12/1175 - -83161/25850. Find the common denominator of -95/16 and s.
176
Calculate the common denominator of (-505)/120 - (-1)/3 and 51/7.
56
Let b(i) = 9*i + 10 + 10*i**3 + 0*i**3 + 10*i**2 - 9*i**3. Calculate the least common multiple of b(-9) and 9.
90
Let x = 347/260 + 16/195. Suppose 4*c - 11 - 13 = 0. Calculate the common denominator of x and 122/(-12) + 2/c.
12
Suppose 0 = -2*r + 44 + 16. What is the least common multiple of 12 and r?
60
Let y be (-1279)/45 + 4/(-12). Let o be ((-6)/(-4))/(27/(-496)). Let w = y - o. Find the common denominator of w and 5.
5
Let z = -605/2 - -2710/9. Calculate the common denominator of z and 50/9.
18
What is the least common multiple of (-1)/((-3)/(-9)) + 27 and 8?
24
Suppose -3*v + 33 = -3*p, -6*p - 36 = -3*v - 2*p. What is the least common multiple of 33 and v?
264
Let b(k) be the first derivative of 4*k**3/3 + k**2/2 - k + 2. Calculate the least common multiple of b(1) and 6.
12
Let x = 1859/6 - 316. What is the common denominator of 93/20 and x?
60
Let u = 1493/350 - 34/175. Find the common denominator of 15/16 and u.
112
Suppose -m + 2*m + 5 = 0. Let x(k) = -k + 3. Calculate the least common multiple of x(m) and 3.
24
Let c = 49/39 - 3259/390. Find the common denominator of 17/11 and c.
110
Find the common denominator of (-101)/10 + (4 + -4)/(-1) and 25/9.
90
Let w = -701/3 + 5485/24. Calculate the common denominator of w and 4/(-160)*-86 - -2.
40
Let t = 4/1303 + 105515/9121. Let q = 1163/63 - t. Find the common denominator of -10/3 and q.
9
Let u = 8 - 6. Let z = -6 + 10. Let o = z + u. Calculate the lowest common multiple of o and 2.
6
What is the common denominator of 54/5 and 139/(-81) + 18/9?
405
Suppose 0 = 5*h + 4*z + 26, 5*z - 4 = z. Let v be (-3)/4 - h/8. What is the common denominator of -63/22 and -1 - (250/(-44) + v)?
22
Suppose 14 = 2*p - 18. Let u = -8 + 12. What is the least common multiple of u and p?
16
Suppose -5*p - 181 = -551. Let y = p - 52. What is the smallest common multiple of y and 22?
22
Let i(h) = h + 3. Let k be i(-3). Suppose 6*n - 4*n - 22 = k. Suppose -4*l = l - 5. Calculate the smallest common multiple of l and n.
11
Suppose -6*k + 4*g = -k - 60, 2*g + 2 = -k. What is the common denominator of -67/9 and k?
9
Let u be (-13)/2 + 5/10. Calculate the common denominator of 269/(-60) + (-2)/u and -87/10.
20
Suppose -69 + 39 = -5*k. Calculate the lowest common multiple of k and 4.
12
Let d(y) = -y**3 + 7*y**2 + 9. Calculate the lowest common multiple of d(7) and 6.
18
Let z be (-2)/12 + 218/12. Suppose 0*l + z = 3*l. Suppose -12 = -2*w - m, -4 + 33 = 5*w + 2*m. What is the least common multiple of l and w?
30
Let v = -37 - -71. Calculate the smallest common multiple of 20 and v.
340
Suppose 0 = -c + 30 - 24. What is the smallest common multiple of c and 10?
30
What is the lowest common multiple of (10/(-4))/(75/(-180)) and 5?
30
Let d = -14 - -34. Suppose -2*k = -k - d. Calculate the smallest common multiple of k and 8.
40
Let y = 13 - 7. Let l(z) = -z**3 + 6*z**2 + 3*z - 9. Calculate the least common multiple of l(y) and 10.
90
What is the least common multiple of (6/10 + -1)*-45 and 16?
144
Suppose 2*y - 63 = 2*d - 23, 0 = d. Let j = -17 + y. What is the least common multiple of j and 8?
24
What is the smallest common multiple of 7 and (2 - 2) + (13 - 3)?
70
What is the least common multiple of 22/((-6)/(-9)*3) and 14?
154
Suppose -13*w + 94 = -12*w. Let g = 941276/10165 + 3/10165. Let c = w - g. What is the common denominator of c and -26/11?
55
Suppose -c + 4 = 2. What is the smallest common multiple of c and 3?
6
Let y = -395/2 + 191. What is the common denominator of y and -1/34?
34
Calculate the least common multiple of 8 and 33/(-4)*24/(-9).
88
Let m = 5437/22 + -247. Let l = -67519/18 + 3747. Find the common denominator of l and m.
198
Suppose 0*d - d - 5*b = -17, 2*d + 3*b = 13. Suppose -5*l + 40 = 5*m, 0 = -5*l - d*m - 22 + 68. Calculate the common denominator of (1/(-20))/(l/175) and 13/3.
24
Let y(b) = 3*b - 4. Let m(f) = f**2 - 4*f + 4. Let u be m(6). Suppose 0*h + u = 4*h. What is the lowest common multiple of h and y(4)?
8
Suppose w - 8 = 4. Let m = -38 - -39. Let f(a) = 10*a**2 + 2*a - 2. Calculate the lowest common multiple of w and f(m).
60
Let k(i) = i**2 - i - 1. Let y = -1 + 1. Let u be k(y). What is the lowest common multiple of (-10)/(9/(-6) - u) and 20?
20
Let t = -1295/2 + 13011/20. Find the common denominator of -29/80 and t.
80
Let y = -436989/20 + 21845. Let b = 273 + -1573/6. Calculate the common denominator of y and b.
60
Let m = 31 + -9. Suppose -2*c = -0*c - 4. Suppose o - 4*y = 0, -2*o - y = -c