 a = 25/2 + -13. What is the common denominator of -87/20 and a?
20
Let v be 2 - -2 - (0 - -2). Suppose 0*x = -v*x + 28. Calculate the smallest common multiple of 6 and x.
42
Suppose 47 - 15 = x - y, x = 2*y + 34. Suppose 27 = 3*s - 4*w, -3*s + 3*w = -2*w - x. Calculate the least common multiple of 11 and s.
55
Let d = -2/41 + 4145/82. Calculate the common denominator of d and -143/12.
12
Calculate the common denominator of 121/6 and (15/(-8))/(-5)*319/33.
24
Let w be (-4 - 3)/(2/(-4)). What is the common denominator of 150/16 + (-17)/(-34) and w/(-20)*111/(-7)?
40
Let d be (-498)/15 + -2 - -1. Let h = 1757/60 + d. Let t = -18627/110 + 851/5. What is the common denominator of t and h?
132
Let w be 2/6 - (-1554)/(-45). Let y = 34 + w. Let x = 8321/18 + -2809/6. What is the common denominator of y and x?
45
Let v(z) be the first derivative of z**4/4 - 2*z**3/3 - 3*z - 2. What is the least common multiple of v(3) and 8?
24
Let d = -70454/5 - -14158. Let u = d + -383/5. Find the common denominator of u and -35/11.
55
Let u = 414 - 108. Let z = u + -1235/4. What is the common denominator of z and 10/11*28/5?
44
Let a = 2806 + -28103/10. Calculate the common denominator of a and -25/9.
90
Let y = -33 + 55. Find the common denominator of (y/4)/(2/(-7)) and (-393)/6*(-2)/(-18).
36
Let h = 6 - 1. Suppose l - 50 = -5*u, 3*u + h = 4*l + 35. Suppose m = b - 6*b + u, -m = 3*b - 14. Calculate the smallest common multiple of m and 20.
20
Let j = 880/41 - 13597/410. Find the common denominator of j and 95/12.
60
Let l = 2/3043 - 109558/15215. Calculate the common denominator of l and (57/(-2))/((-27)/24).
15
Suppose -5*l - a = 3*a - 39, 5*a - 5 = 0. Suppose 3*u - l = 11. Calculate the lowest common multiple of u and 10.
30
Let l(c) = -c**2 + 16*c - 19. What is the smallest common multiple of 10 and l(14)?
90
Suppose s - 4 = -1, 5*j = -4*s + 27. Suppose j*q + 56 = 7*q. Let r(c) = c**2 - c. What is the least common multiple of r(-3) and q?
84
Let b = 35863/378 - 1445/27. Let i = 4189/126 - b. Find the common denominator of 19/6 and i.
18
Let w = 24014 - 93157/4. Let p = w - 714. Find the common denominator of -37/3 and p.
12
Suppose -4*w + 179 = -w - p, 3*w - 5*p - 175 = 0. Calculate the least common multiple of w and 11.
660
Suppose 0 = -2*n + 8 + 4. Calculate the lowest common multiple of n and 18.
18
What is the common denominator of -13/88 and -1 + 4 - (-75)/(-42)?
616
Suppose -4*z + 35 = -93. What is the smallest common multiple of z and 16?
32
Suppose -5*s + 4*k = 4, 5*s - 1 = k - 2. Suppose -o + 14 = -s*o. Calculate the smallest common multiple of o and 12.
84
Let t = 36 - 85. Find the common denominator of -71/2 and t.
2
Suppose 2*k + 3*x + 7 = 0, 4*x + 6 = 2*x. Calculate the lowest common multiple of k and 2/(-11) + 816/132.
6
Let m(p) = -p - 38. Let y be m(0). Let x = 20 + y. Find the common denominator of 71/8 and 0 + 4/x*10.
72
Suppose 3*s + 0*p = p + 26, 5*s + 5*p = 30. Let m be 2/(55/19 - 3). Let z = -5 - m. What is the lowest common multiple of z and s?
56
Let l = -2/168903 + -8372747/1351224. Let s = 95/7 + l. Calculate the common denominator of s and 11/10.
40
What is the least common multiple of 81/21 + 4/28 and 11?
44
Find the common denominator of 85/6 and -1 - (-2070)/4224 - 4/(-22).
192
What is the common denominator of 57/10 and 4/16 + (-22)/3?
60
Let w(t) = -t**2 - 3*t + 1. Let o be w(-5). What is the common denominator of 116/(-6) + o/(-3) and -121/10?
30
What is the lowest common multiple of 18 and ((-5 + 3)/((-6)/9))/1?
18
Suppose 4*l = 4*h + 24, -3*l + 7*l + 8 = -4*h. What is the least common multiple of l and 60?
60
Let p = 9 - 15. Calculate the least common multiple of 3 + -2 - (p - 3) and 4.
20
Let u = 233 - 471. Find the common denominator of -11/5 and u/20 - 2/(-10).
10
Let l be (-4 - -2) + (-5738)/(-1430). Let x = 54/65 - l. Let p = 830 + -5029/6. Calculate the common denominator of x and p.
66
Let s be -3 - 21442/9086 - -1. Let n = s + 36/413. Calculate the common denominator of 11/5 and n.
55
Suppose 0 = 5*g - 8 - 12. Suppose g*o = -0*o + 24. What is the least common multiple of 16 and o?
48
Let u be (-30)/(-63)*5176/(-146). Let o = u - -263508349/30660. Let m = o + -8572. What is the common denominator of -97/22 and m?
220
Calculate the lowest common multiple of 1 + -6 + 2 + 5 and 52.
52
Let o(s) = -s**2 - 3*s + 4. Let t be o(-6). Let m = t - -24. Calculate the smallest common multiple of 12 and m.
60
Let u = -3195571/5 + 635613. Let c = u - -3513. Find the common denominator of 7/8 and c.
40
Let g(q) = q**3 + 9*q**2 - q - 1. Calculate the smallest common multiple of 10 and g(-9).
40
Let a = -4502 + 1711. Let h = a + 10330. Let v = h - 60227/8. What is the common denominator of v and 15/4?
8
Suppose 19 - 104 = 5*s. Let v = -1 - s. Calculate the least common multiple of v and 20.
80
Let o = 42241/10 + -4229. What is the common denominator of o and (-2)/6*162/(-4)?
10
Let z = 52154 + -5632765/108. What is the common denominator of z and 13/16?
432
Suppose 0 = -3*a + 7*a + 84. Let t = a + 47. What is the least common multiple of 22 and t?
286
Let l = 1/6061 + -260650/163647. Find the common denominator of -5/3 and l.
27
Let m(q) = q**2 + 5*q**2 + q**2 + q. What is the smallest common multiple of (1 - (-1)/1) + 14 and m(1)?
16
Let g = 299/50 + -83/100. What is the common denominator of -5/3 and g?
60
Let n be (-4)/(4/(-11)) + -1. Suppose 2*t = -4*s - n, 0 = 4*t - s + 20 + 27. Let c = t - -33. Calculate the lowest common multiple of c and 4.
44
Let f(x) = x**3 - 2*x. Let u be f(2). Suppose 5*v + 6 + 4 = 0. Find the common denominator of u/v + 28 + -3 and 1/9.
9
Let l = 341 + -241. Suppose 3*j - 35 - 13 = 0. What is the lowest common multiple of (-12)/5*l/(-15) and j?
16
Suppose 5*b = j - 59 + 3, -5*j - 44 = 2*b. Calculate the least common multiple of (1 + 3)*(-42)/b and 20.
140
Suppose 4*w - 2*r = 3 - 9, 16 = w + 3*r. Suppose -t = w, 0*t - 3*t = -2*c + 5. What is the lowest common multiple of 21*(3/45)/(3/15) and c?
7
Let s(n) = 10*n**3 + n**2 + n. Let j be s(-1). What is the lowest common multiple of (-6)/j*3*5 and 2?
18
Let d(s) = -4*s**2 + s. Let t be d(-2). Let n = -11 - t. What is the lowest common multiple of 3/6 - n/(-2) and 4?
4
Let i = -2086627/72 + 28980. Calculate the common denominator of i and -51/16.
144
Let v(h) = -h - 2. Let y be v(-4). Suppose 3*f = 2*l - 29, -y*l + 5*f + 19 = -0*l. What is the lowest common multiple of 12 and l?
132
Let g = -2/2135 - -2819/854. Calculate the common denominator of -59/6 and g.
30
Let y = 9/14 + -1/7. Let b(o) = o**3 - 12*o**2 + 6*o + 11. Calculate the common denominator of y and b(11).
2
Let w be 1/2 - 72/(-16). Suppose w*y = -13 - 32. Calculate the smallest common multiple of 5 and (-6)/y - 56/(-6).
10
Let y(n) = -n**3 + 2*n**2 - 2*n. Let b = -4 + 8. Let q be y(b). What is the least common multiple of (q/3)/4*-3 and 12?
60
Let y = 6475/822 + -6/137. Let f = 53/23 - 1139/115. Calculate the common denominator of y and f.
30
Let u = -67 - -71. What is the smallest common multiple of 8 and u?
8
Let q(m) = m**2 - 7*m + 15. Let p be q(12). What is the common denominator of (-4)/(-10) - (-38)/(-4) and p/10*(-22)/(-20)?
20
Let x be (1/3)/((-10)/11457). Let c = x - -381. Find the common denominator of c and -49/16.
80
Let p = 27 - 25. What is the lowest common multiple of p and 14?
14
Suppose 2*v = -0*v - 872. What is the common denominator of -15/2 and (-2)/(-11) + v/704?
16
Let f = -13 + 18. Suppose 0 = -2*v - 2*i + 5*i + 31, 0 = f*v + 5*i - 40. Calculate the smallest common multiple of v and 9.
99
Let k = -1009/45 - -247/10. Calculate the common denominator of 370/120 - (0 + 0) and k.
36
Suppose -4*d + 20 = -2*d. Let z be (1 - -1) + 15/(-5). What is the least common multiple of d and (3/(-1))/z + -1?
10
Suppose -4*m + 51 = -2*n - n, -15 = -m + 3*n. Suppose 2*x + 2*p = 3*p + 9, 3*x - 1 = -p. Calculate the smallest common multiple of m and x.
12
Suppose -w + 12 = -0. Calculate the least common multiple of 28 and w.
84
Let v = -27379/20 + 1368. Let z = -138/41 + 1489/820. Calculate the common denominator of z and v.
20
Suppose 63 = 2*m + 11. Suppose 0 = q + 2*j - 9 + 5, 2*q - 6 = -5*j. What is the least common multiple of m and q?
104
Let s = -14/293 + -10729/2344. Calculate the com