3/126 + (-258)/272.
136
Let i = -304 + 344. What is the least common multiple of i and 90?
360
Let o = -265/96 - 21/32. Let x = 203 - 351. Let p = 3257/22 + x. Find the common denominator of p and o.
132
Suppose 4*u + 486 = -5*u. Let v = u - -64. What is the least common multiple of 18 and v?
90
Suppose 3*j + 1 = -8, -5*j - 9 = 2*z. What is the lowest common multiple of (3 - z - 0) + 42 and (-17)/(-3) + (-1)/(-3)?
42
Let f(w) = -w**3 + 4*w**2 + w. Let t be f(4). Suppose 0 = -t*r + 30 + 22. Let o = r - 1. What is the lowest common multiple of 6 and o?
12
Suppose 0 = 4*f + m - 97, 0 = 5*f - m - 39 - 71. Calculate the lowest common multiple of f and 11.
253
Let d = -763 + 9121/12. Calculate the common denominator of d and -1/10.
60
Find the common denominator of -161/360 and (-166)/(-747) + ((-98)/(-864))/7.
2160
Let d = 32 + -26. Find the common denominator of ((-2)/d)/(6/(-114)) and -29/6.
6
Calculate the lowest common multiple of ((-4)/(-12))/((-6)/(-216)) and 84.
84
Let l = 61585 - 2586721/42. What is the common denominator of 37/33 and l?
462
Let p = 2193 + -2157. Calculate the least common multiple of p and 98.
1764
Let d = 10385 + -259663/25. What is the common denominator of -125/6 and d?
150
Suppose 5*w = 48 - 18. Let b = -57 + 282/5. What is the common denominator of (12/12)/(w/122) and b?
15
What is the common denominator of 61/26 and 33/10*(-90)/(-144) + 4?
208
Let q = 178 + -172. Calculate the smallest common multiple of 2*(126/4)/7 and q.
18
Suppose -4 = l - 6. Suppose -l*a + 6 = -a. Let n = 98 + -95. What is the least common multiple of a and n?
6
Suppose 3 - 1 = b. Let f(t) = -t**2 + 11*t + 44. Let q be f(11). Let j = q + -38. What is the lowest common multiple of b and j?
6
Let i be (-26)/1836*(-5430)/(-4). Let y be 2/10 - (-399)/(-2295). Let b = y - i. What is the common denominator of b and 37/44?
44
Let f be -1*(-2)/(-16)*38573. Let d = f + 4830. Calculate the common denominator of -59/16 and d.
16
Suppose 6*i - 224 = -44. What is the smallest common multiple of i and 50?
150
Let i = 8 + 13. Calculate the common denominator of 53/14 and (44/12)/((-4)/i).
28
Let v(o) = -o**2 - 8*o - 7. Let d be v(-8). Let s(i) be the first derivative of -2*i**2 - 14*i - 1. What is the lowest common multiple of 5 and s(d)?
70
Let d = -2/43447 - 1607419/2606820. What is the common denominator of d and 83/132?
660
Let g = -4/68683 + 836490265/137366. Let r = -54877/9 + g. What is the common denominator of (((-69)/(-22))/(-3))/(-1) and r?
198
Let t be (-734)/60 - (-56)/70. Let n = 7/15 - t. What is the common denominator of -17/16 and n?
80
Calculate the smallest common multiple of (-48)/(-14)*(-21)/(-18)*3 and 1138.
6828
Suppose 2*g - 4 = -0*g. Suppose -g*t - 23 + 41 = 0. What is the lowest common multiple of t and 6?
18
Let d(h) = 2*h**2 + 2*h + 10. Let u be d(-6). Let v = u - 66. What is the least common multiple of v and 4?
4
Let s = 1308 - 1122. What is the lowest common multiple of s and 279?
558
Let y = 88 + -40. What is the least common multiple of 56 and y?
336
Let p = 8 - 4. Let h be 2/(-8) + 1740/240. Let c = h + p. Calculate the lowest common multiple of c and 11.
11
Suppose -u + 2*u - 45 = 0. Suppose 27 = 3*p + 4*l - 5*l, 5*p = 4*l + u. Let r = p - -9. Calculate the least common multiple of r and 10.
90
Let i(c) = -c**3 - 55*c**2 + 4*c + 227. Calculate the smallest common multiple of i(-55) and 9.
63
Suppose 3*x + 4*d - 10 = 4*x, -5*d + 10 = 0. Let i(k) = 4*k - 2*k - 4 - 2*k - 4*k. What is the least common multiple of i(x) and 8?
8
Let w(t) = -3*t - 4. Let p be w(0). What is the common denominator of -1 + -1 + (-435)/(-42) and (-819)/(-432) - p/6?
112
Let w be 1/1*0/2. Let c be (-25800)/(-8585) - (3 + w). Let q = -176959/20604 + c. Calculate the common denominator of q and 45/4.
12
Suppose 7 = -2*z + 3. What is the common denominator of 67/10 and (-36)/21*(z - -1)*2?
70
Suppose 0*l + l = -2*s - 9, 26 = -5*s + l. What is the least common multiple of ((-78)/(-10) - 1/s) + 2 and 7?
70
Let o be 4/26 + 1576/(-104). Let r = 25307/30 + -4117/5. Find the common denominator of (o/75)/((-1)/11) and r.
30
Let t(m) be the second derivative of 0*m**2 + 0 - 3/2*m**3 + 4*m - 1/12*m**4. What is the least common multiple of t(-7) and 22?
154
Let c be ((-2)/8)/(1831302/(-144)). Let r = 914477/59720793 + c. Let n = 50093/12914 - r. Calculate the common denominator of n and 87/2.
22
Let s = 631/18 - 193/6. Let o = 1237621/5146 + -4/2573. Let x = 261 - o. Find the common denominator of x and s.
18
Suppose 8 = 4*h - 2*d - 6, 2 = -2*h + 4*d. Suppose -h*j + 130 - 30 = 0. Calculate the least common multiple of j and 62.
620
Suppose -4*f + 64 + 267 = 3*b, 0 = -2*b + f + 206. What is the lowest common multiple of 80 and b?
1680
Let u(a) = -a**2 + 1. Let h be u(0). Suppose -26 + h = -5*p. Calculate the smallest common multiple of 9 and p.
45
Let w(g) = g**2 - 6*g - 2. Let v be ((-14)/5)/(2/(-5)). Let y be w(v). Suppose -1 + 31 = y*u. Calculate the smallest common multiple of u and 22.
66
Let g = 418/317 - 119209/106512. Find the common denominator of -107/182 and g.
4368
Let g(c) = -502*c + 25. Let l be g(-7). Let a = l - 17636/5. What is the common denominator of a and -37/3?
15
Let w = -772 + 802. Calculate the lowest common multiple of 30 and w.
30
What is the common denominator of 40/533 and 8 - (184/110)/(4/30)?
5863
Suppose 5*j - 17 = -2. Suppose -75 = -5*v - 3*k, 0*k = v + 3*k - j. Let n = v - 10. Calculate the least common multiple of 8 and n.
8
Let f(d) = -2*d**2 - 14*d - 3. Let g be f(-7). Calculate the least common multiple of 3 and g/(-5) + (-1764)/(-60).
30
Suppose 0 = -5*b - 10, -b + 93 = 2*w - w. Suppose 4*j = 119 - w. Calculate the smallest common multiple of (-6)/(-1 - (-2)/6) and j.
18
Let v = -52 + 78. Suppose 36 = -3*d + 5*d. What is the least common multiple of v and d?
234
Let j(h) = h**2 - 2*h + 3. Let y be j(5). Let c = -9 + y. Calculate the least common multiple of c and 21.
63
Let p be (1/1 - -3)/(4/400). Suppose 153 - p = -19*w. Calculate the lowest common multiple of w and 11.
143
Suppose -13*s = -21*s + 72. What is the lowest common multiple of 10 and s?
90
Suppose o - 8*o + 42 = 0. Let i(d) be the second derivative of 11*d**5/20 - d**4/12 - d**3/6 + d**2 + d. What is the least common multiple of o and i(1)?
66
Let l(p) = p**3 - 9*p**2 - 10*p - 5. Let t be l(10). Let s(u) = -u**2 - 12*u - 33. Calculate the least common multiple of s(t) and 22.
22
Let u = 80 - 62. What is the smallest common multiple of 6 + (4 + -1 - 5) and u?
36
Find the common denominator of (-2 - -4) + (4 - (-693)/(-96)) and 83/8.
32
Let l(r) = 3*r - 5. Let g be l(11). Suppose 8 = -2*i, p - 5*i - g = -3*i. What is the smallest common multiple of 18 and p?
180
Suppose 3*r + 0 = 6. Find the common denominator of -63/4 and -1*122*(6/r)/156.
52
Let k(t) = 4*t - 11. Let c be k(6). Let h be 7/4 - c/(-52). Suppose 4*w = -5*v + 18, -h*v + 8 = w + w. Calculate the smallest common multiple of v and 6.
6
Let h(b) = 2*b - 20. Suppose -26 = -3*x + x. What is the least common multiple of h(x) and 3?
6
Let a(w) = -w**3 - 7*w**2 + 7*w - 8. Let g be a(-8). Let c = -31 - -111. Suppose -x - 3*x + c = g. Calculate the lowest common multiple of x and 12.
60
Suppose -4*q - 20 = q. Let u(g) = -g**3 - 11*g**2 + 16*g + 56. Calculate the smallest common multiple of q/(-6) - 28/(-3) and u(-12).
40
Let n be (-3)/(-3)*2*-34. Let g = n + 80. What is the lowest common multiple of g and 12?
12
Let p = 1066 - 946. What is the least common multiple of 24 and p?
120
Let i(r) = -45*r**2 - 7*r + 4. Let m be i(8). Let z = 1853415 - 40839589/22. Let l = z - m. What is the common denominator of -53/18 and l?
198
Let u = 4755 - 52258/11. Let b = 4551562 - 2416878686/531. Let k = b - -10/59. Calculate the common denominator of k and u.
99
Let k(j) be the second derivative of j**4/12 + j**3/6 + j**2 - j. Let l be (10/15)/2*-3. Calculate the lowest common multiple of k(l) and 8.
8
Let f = 51/2 + -34. Let m(i) = 2*i + 13. Let x be m(8). What is the common denominator of f and (-5 - -3) + x/(-20)?
20
Suppose -s + 16 = 2*j, 3*j + 1 = 2*j. What is the smallest common multiple of s and 6?
18
Let b(x) = -x + 9. Let c be b(5). Suppose 5*i - 4*g + 56 = i, 2*i - c*g = -28. What is the least common multiple of 7/i