195/2511776736. Find the common denominator of 163/1512 and o.
6048
Suppose b - 6 = -1, 315 = 2*w + 3*b. Calculate the lowest common multiple of (-80)/(-10)*14/8 and (-1)/(10/(-54)) - (-90)/w.
42
Let o(q) be the second derivative of -q**4/12 + q**3/6 + q**2 - 15*q. Let u be o(0). Calculate the common denominator of -117/20 and ((-456)/9 - u)/((-12)/9).
20
Let i = 298 + -290. Suppose 8 - 66 = -2*t. Calculate the lowest common multiple of t and i.
232
Calculate the common denominator of (11/(-3696))/(342/15029) and -3/38.
16416
Suppose 3*c = -21, -2*w + 58 = 19*c - 21*c. Suppose 13 = 5*o + f, 3*o = 4*o - 5*f - 13. What is the lowest common multiple of w and o?
66
Let s(h) = -74*h**2 + 221*h**2 - 67*h**2 - h - 76*h**2 + 12. Calculate the least common multiple of s(4) and 36.
72
Suppose 30 = -3*v - 3*j, 0 = 3*v + 4*j + 10 + 24. Let q be 11 + -11 + v/2. Calculate the least common multiple of -4 + (-24)/(-2) + q and 4.
20
Let l = 198 - 196. Calculate the common denominator of (-1)/l - (-3 + (-575)/(-80)) and 91/24.
48
Let f = 29 - 9. Suppose -207 + 9 - 18 = -6*t. Calculate the least common multiple of t and f.
180
Let t(p) = -p**3 + 9*p**2 - p + 18. Let c(d) = -4 + 15*d - 282*d**2 + 283*d**2 - 3. Let u be c(-16). Calculate the lowest common multiple of 5 and t(u).
45
Suppose 13*g - 66 = -3*z + 11*g, 2*z - 54 = 2*g. Calculate the least common multiple of 18 and z.
72
Calculate the common denominator of (5 - (-7183)/(-1672)) + 3 + (-15)/4 and -19/51.
7752
Let n = -3/20 - 139/40. Suppose 0 = -9*r - 34 + 124. Find the common denominator of (-111)/(-33) - (-15)/r and n.
88
Let m be -1*(4/(-22) - 2/(-11)). Let r = -3543/10 - -355. Find the common denominator of r and 236/20 + (-2 - m).
10
Suppose 20*x = 167449 - 507509. Calculate the common denominator of -1 + -1 + x/(-7840) and 55/8.
160
Calculate the least common multiple of ((-161)/230)/7 - (-5522)/20 and 12.
276
Let m(p) be the second derivative of 4*p**3 - 27*p**2/2 - 13*p + 1. Calculate the lowest common multiple of 36 and m(2).
252
Let v be (3205/1040 - 3)*(-23471 - -3). Let m = -1918 - v. Find the common denominator of m and -46/9.
468
Suppose -299*n = -287*n - 1440. What is the smallest common multiple of n and 170?
2040
Let s = 14 + 4. Let c(t) be the first derivative of 7*t**2/2 + 102*t - 51. Calculate the smallest common multiple of c(-12) and s.
18
Let z = -65 - -67. Suppose u + 0*u + z = 5*t, 0 = 3*u - 5*t - 14. Suppose -3*j - 2 = -68. What is the least common multiple of j and u?
88
Let z = 1673153220870058 - 27267645745034686843169/16297160. Let a = z - 2/185195. Find the common denominator of a and -17/28.
616
Let z = -5593471/20 + 280147. Let w = z - 475. Find the common denominator of -119/40 and w.
40
Let h = -487 - -2769. What is the common denominator of (6/9)/((-9)/(8505/h)) and -7/9?
1467
Let j be (3 - -2) + -5 + -2. Let n(p) be the second derivative of -3*p**5/20 - p**3/2 - p**2 + 6*p. Calculate the lowest common multiple of n(j) and 8.
56
Let p = 94089/2 - 45781. Let q = p + -25383/20. Let g = 3857 + -38603/10. What is the common denominator of g and q?
20
Let f(t) = 6*t + 56. Let i be -1*18 + 8/(-4). Let k be f(i). Let p = k - -91. What is the least common multiple of p and 21?
189
Let v = -313 + 308. Calculate the common denominator of 50/33 and 7/13*44*v/(-120).
858
Let w(s) = -109*s + 290*s + 63 - 104*s - 93*s. What is the least common multiple of 18 and w(3)?
90
Let q = -1848 - -18361/10. Let i be (-351)/(-13)*(-297)/(-1). Let z = i + -288613/36. Find the common denominator of z and q.
180
Let b = 3822914 + -378471691/99. Let g = -290/9 - b. Calculate the common denominator of (-174)/36*8/22 and g.
33
Let d(f) = 0*f + f + 3*f. Let b(h) = -56*h + 820. What is the lowest common multiple of b(14) and d(4)?
144
Suppose 2*d = 15*d + 3*b - 714, -3*d + 146 = -4*b. Calculate the smallest common multiple of d and 414.
1242
Let u be (-186)/8*((-70)/21 - 2). Suppose 0 = u*a - 134*a + 90. Calculate the smallest common multiple of a and 7.
63
Suppose -84 = -3*c + 21. Suppose c = 5*b + 10. Suppose -7 = -2*h + b*r, -h - 3*r + 4*r + 2 = 0. What is the lowest common multiple of h and 4?
4
Find the common denominator of 61/84 and 28/20 + (-72)/105.
84
Let d be 1 + (23 - 31)*386/(-4). Let n = d - 733. Calculate the lowest common multiple of n and 42.
840
Let c be 2487/(-15*(-1)/475). Let u = -7087811/90 + c. Find the common denominator of 7/15 and u.
90
Let b = -754991363/1877 - -402233. Find the common denominator of b and 25/2.
3754
Let b = -5567 + 5613. Let h = 3336 - 173481/52. Find the common denominator of b and h.
52
Let a = -28739/2 + 41154245/2864. Calculate the common denominator of 69/32 and a.
5728
Let x(b) = -b**3 + 48*b**2 - 11*b + 394. What is the lowest common multiple of 10 and x(45)?
29870
Let c be 903/5 + (-36)/60. Suppose -8*s = -5*s - c. Suppose 4*j - s = -j. Calculate the smallest common multiple of j and 3.
12
Suppose 5*g + 1095 - 1950 = 0. Let r = g + -147. Calculate the lowest common multiple of r and 27.
216
Let t = 6242 - 5034. Calculate the smallest common multiple of t and 1661.
13288
Let n = -35007231463 - -163378748178851/4667. Let l = -11055042353/48947496 - n. Let o = l - -1/552. Calculate the common denominator of -41/10 and o.
190
Let s(q) be the second derivative of -13*q**3/2 - q**2/2 + 2*q. Let v = 4094 - 4080. Calculate the lowest common multiple of s(-1) and v.
266
What is the common denominator of (-68)/16 + 4 + 447/420 and 2038/(-440) - (-5)/(220/8)?
140
Suppose 4*s = -2*x - 152, 2*x - 11*s + 150 = -14*s. Find the common denominator of 1/4 and 12/x*(-94)/(-28).
84
Find the common denominator of -41/198 and (-13363)/(-3906) + (-3)/(-9)*-2 - 3.
6138
Suppose 2*j = -4*i + 2*i + 16, 4*j - 4 = 0. Suppose 19 = -5*z + 9. Find the common denominator of (z - -5) + (2 - 1/i) and 17/7.
7
Find the common denominator of (-13 - -3)*(-42)/198 and (-1)/4 + (-715)/300.
330
Let y(c) = c**2 - 11*c - 3. Let h be y(12). Suppose -h*m + 3*m = -126. What is the lowest common multiple of m and 15?
105
Let v(l) = -l - 13. Let x be v(-19). Let k = x + -7. What is the least common multiple of -1*(-16 + (-1 - k)) and 10?
80
Suppose -10 = -5*x - k, 9*x + 2*k = 6*x - 1. What is the least common multiple of x and 53?
159
Suppose -164*t - 170 = -498. What is the lowest common multiple of 11598 and t?
11598
Let h = 496079/30 + -16538. What is the common denominator of -133/2010 and h?
2010
Suppose -5*s + 0*s + 55 = 0. Let r be (-3)/5 + ((-2)/5 - -1). Suppose r = 4*c - 5 - s. What is the smallest common multiple of 14 and c?
28
What is the common denominator of (-3161)/(-435) + (-28)/20 and 572/(-60) - 1/(-3)?
15
Calculate the common denominator of -35/153 and (-5)/(-750)*-15 - (-233)/1190.
5355
Let n(i) = 5*i**2 + 106*i + 1424. What is the smallest common multiple of n(-10) and 1152?
3456
Suppose -3*r + 3*k = 24, r - 5*k + 3*k + 4 = 0. Calculate the common denominator of 4/(-10) - (0 + r/(-345)) and 61/9.
207
Let d(m) = -6*m**3 + 24*m**2 + 6*m - 3. What is the least common multiple of 28 and d(4)?
84
Let n = 463093/10 + -2616269/55. Suppose 419 - 1679 = -17*b + 16*b. Let x = n + b. What is the common denominator of 53/4 and x?
44
Let j = -12 - -12. Let r be j + 1 + 0 - (-2)/1. Suppose -4*m + r*k = -60, 0*m - 2*m + 2*k + 30 = 0. What is the least common multiple of 18 and m?
90
Let h be (-16670)/16*-4*(-1)/5. Let a = -850 - h. Calculate the common denominator of 3/9 + (-119)/24 and a.
8
Let w(d) = 1574*d + 5070. Calculate the lowest common multiple of w(-3) and 183.
21228
Suppose -d = 3 - 13. Suppose 0 = -l - 13*o + 9*o + 17, 0 = 5*l - 5*o - 35. Suppose -l*h + 1 = -26. Calculate the smallest common multiple of d and h.
30
Let o = -925 - -835. Let u(d) = -d**2 + 4*d - 2. Let l be u(4). Find the common denominator of 65/4 and (2 + 213/o)/(l/(-35)).
12
Calculate the common denominator of (50 + -53)*1/((-22)/(-19)) and ((-132)/(-150))/((-8)/(-110)).
110
Let q = 16/52203 + 1490047/77782470. What is the common denominator of 35/447 and q?
4470
Suppose 3*o + 15 = 3*d, -o + 30 = -4*o - 2*d. Let k(m) = -m**3 - 7*m**2 - 13*m + 16. What is the lowest common multiple of k(o) and 20?
920
Calculate the lowest common multiple of 666 and (518/(-42))/((-28)/(-24)*(-1)/28).
2664
Let m = -1334/35 - -2