504)/(-7434) + -8) and -17/49.
8673
Let y = -136158 + 82375637/605. Find the common denominator of y and 59/165.
1815
Let z be -11761 + (-42)/(-70)*5/3. Calculate the common denominator of 47/45 and (-763)/z*-4 - 3/(-21).
180
Let l = -11350577/162 - -70065. Calculate the common denominator of 83/1278 and l.
11502
Suppose 4*o = v + 6, 0 = -2*v - 3*v - 5*o + 20. Suppose 2*l = 0, -4*m + 4*l = -7*m - 801. Let t = m + 275. What is the least common multiple of v and t?
8
What is the common denominator of -97/22 and (-2)/((-46)/(-161)) + 9966/1400?
7700
Let v = 1163/28 - 170/7. What is the common denominator of v and 5/((-75)/6) - (-35343)/41820?
164
Let v = 950614/1755 - -1493/1755. Let h = v + -4918/9. What is the common denominator of 137/24 and h?
120
Let v be 2/(23272/34914) - 3. Let q = -144006/20363 + v. Let t = 8984 - 161639/18. Calculate the common denominator of q and t.
126
Let l be 2 + (-64)/36 + 47/(-9). Let f be (-108)/l*(-200)/(-60). Suppose f = 4*i + 5*i. Calculate the lowest common multiple of 7 and i.
56
Suppose -z = -t - 6*z + 32, 4*t + z - 33 = 0. Let y be (-248441)/(-36) + (3 - t). Let h = -6896 + y. What is the common denominator of h and -99/10?
180
What is the least common multiple of 4/6*(-54)/90*-5 and 388?
388
Suppose 0 = o + 3*t + 5914, 5*o = -2*t - 0*t - 29544. Let v = o - -35317/6. Calculate the common denominator of (-10)/8*(-3)/5 and v.
12
Let d(v) = 4*v**2 - 5*v + 3. Calculate the least common multiple of 10/(32 + -27)*1 and d(3).
24
Suppose 6*d = 16727 + 157. What is the smallest common multiple of 8 and d?
11256
Let s = -887 + 672. Let t = 13649 + -1528573/112. Find the common denominator of t and (28/(-21))/(-2) - s/(-12).
112
Suppose 11889 = -11*u + 2*u. Let g = u + 9195/7. Calculate the common denominator of -59/164 and g.
1148
Suppose 5*n = 2*i - 22, -n = i - 21 - 4. Suppose -30*k = -i*k + 18. What is the common denominator of -49/40 and (k/(-5))/(2107/721 - 3)?
40
Let n(f) = -2*f + 52. Let w be n(24). Let r(u) = 4*u + 4. Calculate the smallest common multiple of r(w) and 376.
1880
Let w(c) = -5*c**3 + 456*c**2 + 2772*c + 3. What is the least common multiple of w(-6) and 510?
8670
Let l = -773057 + 1331203991/1722. What is the common denominator of l and -91/738?
5166
Let f = -197 - -207. Suppose -f*h + 163 = -17. Calculate the lowest common multiple of h and 36.
36
Let r = -3368 + 6368. What is the smallest common multiple of r and 1000?
3000
Let u = -73 - -76. Suppose 203 = u*y + 194. Calculate the smallest common multiple of 5 and y.
15
Let p(r) = r**3 - 4*r**2 - 8*r + 8. Suppose -n - 4*g - 6 = 0, -3*n - 6*g + 6 = -2*g. Suppose -17 = -23*u + n. Calculate the least common multiple of u and p(6).
32
Let f = 180 - 325. Calculate the common denominator of (42/35 - 7)/((-20)/(-25)) and 525/f + 0 + 2.
116
Let z = 5921/4 - 23761/16. Suppose 7 = -5*s - 3. Calculate the common denominator of z and (s/30)/((-8)/(-804)).
80
Let z be 2/(117128/29260 + (-3 - 1)). What is the least common multiple of 10/3*(-19)/(z/(-42)) and 34?
68
Let c = 2782339/30968580 - -1/89764. Calculate the common denominator of c and -32/69.
345
Suppose 3*r + 5*j - 70 = -23, j = 2*r - 14. Let x be 14855714/(-1293096) + r/(-21). Let g = x + 3/7697. Find the common denominator of g and -25/68.
204
Suppose -20*p = -3*v - 23*p - 48, 0 = 5*v - 4*p + 44. Let w be (39/(-2))/(3/6). Let y = v - w. What is the smallest common multiple of y and 9?
27
Suppose -2*x + 96 = 12. Suppose -5*p = x - 47. What is the common denominator of p/(45/(-213))*(-60)/(-24) and -83/10?
30
Let g be (0 - -1)/((-15)/(-2865)). Suppose -43 = h - g. Suppose q - h = 5*q. What is the common denominator of 83/4 and q?
4
Let p = 92871/8168 - -5/1021. Let c = -341496171223/16135 - -148154470/7. Let n = -5/922 - c. Find the common denominator of p and n.
40
Suppose -4*z - 16 = 0, -4*d + 2*z = -6*d + 46. Calculate the common denominator of (-24 + d)*14/(-2748) and -23/16.
3664
Let m(c) = c + 10. Let h be m(-5). Let w(n) = n**2 - 7*n + 6. Let y be w(h). Find the common denominator of 39/16 and (-2)/(-8) + 71/y.
16
Let x(r) = 116*r + 3768. Calculate the lowest common multiple of x(-23) and 500.
5500
Calculate the smallest common multiple of 556 and (-87)/165*-11*50.
80620
Let z = 42 - 48. Let c(x) = -x**2 + 2*x + 6. Let f be c(z). What is the smallest common multiple of 278/7 + (-12)/f and 4?
40
What is the lowest common multiple of -882*1*(-12)/36 and 2?
294
Let p = 4475/396 - 439/36. What is the common denominator of p and -49/33?
66
Suppose 7072*p = 7071*p + 3014. What is the lowest common multiple of 22 and p?
3014
Let i = 6666 - 6456. What is the smallest common multiple of 2142 and i?
10710
Suppose 10*u - 101 = 109. Let o(t) = t + 3. What is the smallest common multiple of 72 and o(u)?
72
Let a(y) = -y**3 + 10*y**2 + 3*y + 12. Suppose -53*b + 16 = -31*b - 204. What is the lowest common multiple of b and a(9)?
120
Suppose -177 = 4*k + 543. Let f = k - -188. What is the least common multiple of 28 and f?
56
Suppose 1080 = 18*s + 10*s - 16*s. Calculate the smallest common multiple of s and 549.
5490
Let t be (-2 - 96/(-15))/((-3192)/(-280)). Let k = t - 343/19. What is the common denominator of k and -1/164?
492
Let n = -2489 - -9867/4. Let l(y) be the third derivative of y**4/24 - 11*y**3/6 - 41*y**2. Calculate the common denominator of l(-23) and n.
4
Let d = -46 - -76. What is the lowest common multiple of d and (-3)/7 + 969/1330 - (-2167)/110?
60
Let j = -3145/298 - 1811297/1788. Let z = 4011/4 + j. Let y = 48/121 - -12125/242. Calculate the common denominator of y and z.
6
Let b(d) = -d**3 + d**2 + d. Let o(g) = 4*g**3 - 16*g**2 - 7*g - 23. Let s(k) = -5*b(k) - o(k). What is the lowest common multiple of 11 and s(-11)?
11
Suppose -a = 2*i - 14, -2*a - 5*i = 2*a - 47. Suppose -f = -a*f - 343. Let m = f + 99. Calculate the smallest common multiple of m and 6.
150
Let r = -70381303/336 - -209468. What is the common denominator of -119/40 and r?
1680
Let y(d) = d**2 - 6*d - 16. Let l(f) = 6 - 4*f**2 + 4*f - 2 + f**2 - f + f**3. What is the smallest common multiple of l(3) and y(-3)?
143
Suppose x - 4*x = -12, 0 = -2*a - x - 16. Let w(r) = 21*r + 14. Let u be w(a). What is the common denominator of (-924)/u*-1*1/2 and 5/56?
56
Let q = 369/88 + -42/11. Let y = q - 133/120. What is the common denominator of 68/35 and y?
105
Let l be (-60)/16*-8*(-1)/3. Let z(o) = -o**2 - 10*o + 12. Calculate the least common multiple of z(l) and 32.
96
Let p = -3638789/90 - -40432. What is the common denominator of 8/75 and p?
450
Suppose -3*i = 4*l - 27, -7*i = -12*i - 15. Let m = -2 - -17. Suppose -m = -u + 1. Calculate the smallest common multiple of l and u.
144
Let g be (-250182)/(-3159) + -1 + (-2)/3. Let n = -713/9 + g. Calculate the common denominator of n and 37/10.
130
Let n be (3/8*-4)/(6/568). What is the common denominator of (5/(-1 - 4))/((-8)/n) and 97/280?
280
Suppose 5*a = -2*l + 4 + 16, 4*a = 3*l + 16. Suppose -5*c - 2*i + 58 = l, -c - 3*i = -14 + 5. Calculate the lowest common multiple of 48 and c.
48
Suppose -15*d + 3*d = -72. Let k(q) = -q**3 + 15*q**2 - 13*q - 11. Calculate the smallest common multiple of k(14) and (-5)/((-100)/332) - d/10.
48
Let t = 164 + -191. Find the common denominator of 101/24 and 1/t - (-4)/(-36) - -1.
216
Let m be 4888/221 - 2/(-34)*-2. Suppose 95 = -3*g + m*g. Calculate the least common multiple of 161 and g.
805
Suppose 5*v - 15 = -0*v. Let h(g) = v*g - g - 11*g**2 + 7*g**2 + g**3. Calculate the lowest common multiple of h(4) and 8.
8
Let y(h) = 3*h**2 - 8*h + 7. Suppose 45*u - 41*u = 20. What is the lowest common multiple of 12 and y(u)?
84
Suppose 2*v - 17585 = 5*l, 3*l + 2*v = 5*l + 7034. Let b = l + 189923/54. What is the common denominator of 3/26 and b?
702
Find the common denominator of 16/(-6) + (-91485)/(-26429) and (2/(-24))/((-9)/256).
351
Suppose -20 = -9*s + 160. What is the common denominator of -7/18 and (-228)/s*(-1 + 19/18)?
90
Let r = 34 + -22. Let j(m) = m + 21. Suppose 7 = -2*p + p. Calculate the smallest common multiple of r and j(p).
84
Let x = 986694 - 1657645847/1680. What is the common denominator of 23/252 and x?
5040
Let f = 217/101 - 22255/3636. Calculate the common denominator of 115/876 and f.
2628
Suppose 2*h = 2*x + 26440