(-93)/(-144) + 1)/(3 - 5) and 15/14.
672
Suppose -31889 = 4*o - 7*o + 5*z, 0 = -5*o + 3*z + 53159. Let s = -852149/3 - -1093631/4. Let y = o + s. Calculate the common denominator of -45/38 and y.
228
Let u be (1/3)/(1 - 20/15). Find the common denominator of -4 - (u - 145/14) and -27/4.
28
Let t(n) = 8*n + 12. Let h be t(-5). Find the common denominator of (12/(-20))/((-4)/h) and -17/11.
55
Suppose -840 = -2*a - 2*a. Calculate the common denominator of (-12)/30 - 391/a and 31/15.
210
Let h = 2533/2847 - 32/219. Calculate the common denominator of h and -68/15.
195
Let j = 194 + -119. Suppose -6*z = -z - j. Suppose 0 = 5*q + z, -3*v = -7*v + 5*q + 43. What is the smallest common multiple of v and 7?
7
Suppose -y + 1 = -5*g + 24, 3*g = -4*y. What is the smallest common multiple of g and 82?
164
Suppose -3*k = -5*d - 438, 5*k + 5*d - d = 693. What is the common denominator of -14 and (-4 - k/(-12)) + 1?
4
What is the common denominator of -79/30 and ((-403)/(-11160))/(1/3)?
120
Let s be ((-4)/2)/((-2)/(-7)). Let n be 21/(-14)*(-2 + 4). Let l = n - s. What is the least common multiple of 8 and l?
8
Find the common denominator of 10 + 20170/(-2400) + -2 and -119/150.
1200
Let a be ((-16)/11)/(22/(-209)). Let p = -475/42 + -46/21. Let l = a + p. Calculate the common denominator of l and 9/14.
154
Suppose 4*m + 4 = 5*m. Let u be (45/10)/((-2)/(-4)). Suppose 2*r = -5*b + 116, 37 = b + 2*r + u. Calculate the lowest common multiple of b and m.
44
Suppose 2*t + 59 = 6*t - 5*s, -t + 2*s + 11 = 0. What is the smallest common multiple of t and 7?
21
Let g = -200653/12 - -16732. Find the common denominator of g and 61/102.
204
Suppose 42 = -0*m - 5*m - 4*l, -3*m + 4*l = 6. Find the common denominator of -19/12 and ((267/(-54))/(m/9))/(-1).
12
Let r(h) = -2150*h**2 - 4*h - 16. Let a be r(-3). Let l = 987017/51 + a. Find the common denominator of l and 22/15.
255
Let w = -5 - -20. Let y = 151 - 171. What is the common denominator of (131/w)/((-8)/y) and -14/11?
66
Calculate the least common multiple of 44 and (-150 - -144)*(-21 + -1).
132
Suppose y + 4*q - 167 = 2879, -q - 6065 = -2*y. Let c = y - 21283/7. What is the common denominator of -49/4 and c?
28
Suppose 11*c - 5620 = -571. What is the smallest common multiple of c and 2?
918
Let a(x) = -x**2 + 10*x + 16. Let f be a(14). Calculate the common denominator of (-2)/8 + (-238)/f and (-43)/(-5) - (-18)/(-12).
10
Calculate the common denominator of 39/35 and ((-51)/9*-1)/(1330/57).
70
Calculate the lowest common multiple of 3 - 6*(-6)/18 and 406.
2030
Suppose -142*k = -149*k + 210. Calculate the least common multiple of k and 75.
150
Suppose 0 = -4*x + 8*x + 2*o - 76, -30 = -2*x - 5*o. Calculate the least common multiple of x and 60.
60
Let i = 802 + -791. What is the smallest common multiple of i and 77?
77
Let c = 6930973/240 - 28879. Calculate the common denominator of c and 137/216.
2160
Let p = 4332831 - 4965422995/1146. Let x = p - -1/191. Calculate the common denominator of x and 65/22.
66
Suppose -117*i + 1275 = -480. What is the lowest common multiple of 516 and i?
2580
Suppose 98 = 5*u - 0*u - b, -91 = -4*u + 5*b. Suppose c - 4*c - 3*s + 27 = 0, -2*c - 3 = -5*s. What is the lowest common multiple of u and c?
114
Suppose -r - 38 - 26 = -5*y, -y + 8 = r. Calculate the common denominator of ((-1)/y*-2)/(6/(-93)) and 1/10.
60
Let b = 36163/63830 + -78/491. Find the common denominator of b and 89/286.
1430
Let d(g) be the third derivative of -g**4/24 + 5*g**3/3 + 36*g**2. Calculate the least common multiple of d(9) and 63.
63
Let t(i) be the third derivative of -i**4/8 - i**3/6 + 14*i**2. Calculate the least common multiple of 10 and t(-1).
10
Suppose 5*d = u + 38 - 4, 4*d + 3*u = 12. Let q(f) = f**3 - f**2 + 14. Let o be q(0). Let j = 8 + o. What is the lowest common multiple of j and d?
66
Suppose -27 = -3*n + 12. Calculate the common denominator of 42/22 - (-9)/(-6) and n/(-2) + (-10)/(-45).
198
Suppose 0*s + s + r - 4 = 0, 5*r = 15. Calculate the smallest common multiple of 1110/70 - ((-6)/(-7) - s) and 14.
112
Let o = 15/1199 - -63322/17985. Let y = -23684/2451 + -3/817. What is the common denominator of y and o?
15
Let n = -2100 + 21473. Let i = n - 697369/36. Find the common denominator of 31/44 and i.
396
Suppose 679*v + 30 = 685*v. What is the least common multiple of v and 30?
30
Let y(g) = -g**3 + 34*g**2 - 32*g - 28. Let m = 6 - 3. Calculate the least common multiple of m and y(33).
15
Let x = -1292/7 + 24145/126. Let q = -69579/10 + 6967. What is the common denominator of x and q?
90
Let c be 256/240*(9/(-11) - 1). Let f = c - 193/462. Find the common denominator of f and 0 - ((-165)/(-48) - 1).
112
Let q(n) = 16 - 10*n**2 + 5 - 12*n + n**3 - 8. Suppose -y = 4*y - 50. Calculate the least common multiple of q(11) and y.
10
Let j = 12037/12 + -1987/2. Calculate the common denominator of 155/174 and j.
348
Let o = -1912989/140 + 13664. Find the common denominator of 73/260 and o.
1820
Suppose 2*o - s - 7 = 0, 3*s + s + 22 = 5*o. Let g(t) = -133*t - 533. Let u be g(-4). Let r = u + o. Calculate the lowest common multiple of r and 3.
3
Let p = -1073505 + 23632945/22. Let c = p + -721. Find the common denominator of 91/8 and c.
88
Let g(c) = 7 - 257*c + 256*c + 7. Suppose -24 = -7*v + 4*v. What is the lowest common multiple of g(v) and 9?
18
Calculate the smallest common multiple of 72 and (54/(-24))/(6/(-176)).
792
Suppose -3*v - j = 3*j - 24, 5*v - 3*j - 40 = 0. Let x be 2/3*(-5 + 2). Let z = -1 - x. What is the lowest common multiple of z and v?
8
Let m = 608 + -354. Let h be (-1 + 0)*m/18. Let l = h - -49/36. Find the common denominator of 71/2 and l.
4
Let r = -2258 + 911. Let i = -4024 - -112625/28. Find the common denominator of i and 6/21 + r/378.
252
Let w(l) = 3*l - 12. Let n(q) = q**3 - 4*q**2 + 5. Let v be n(4). Calculate the smallest common multiple of 20 and w(v).
60
Let x = 255671/158670 - 2/8815. Find the common denominator of 121/24 and x.
72
Calculate the smallest common multiple of (-17 + 37)/(1/2) and 276.
2760
Let b = -42 + 30. Let t = -3/6749 + -458905/60741. What is the common denominator of (8 + 1)*(-1)/b and t?
36
Suppose -5*g = 0, m + 3 = -g + 12. What is the least common multiple of m and (1 + (-24)/(-2))*1?
117
What is the common denominator of ((-42920)/(-31900))/(3*(-1)/5) and -74/105?
1155
Let m(q) = 15*q + 3. Calculate the lowest common multiple of 102 and m(4).
2142
Let o be 3894/(-84)*(-2)/166. Let h = -7/83 - o. What is the common denominator of h and 91/18?
126
Let d = 21 - -12. Let q = 40 - d. Suppose 0*z + z - 7 = 0. What is the lowest common multiple of q and z?
7
Suppose 5*l + 2*b = 14 + 373, 4*l - 312 = -4*b. Calculate the lowest common multiple of 77 and l.
77
Let a(k) = 99*k**3 + 2*k**2 - 5*k - 6. Let u be a(-3). What is the common denominator of 1/(-4) - (u/(-264))/3 and -53/2?
22
Let m(b) = 2*b**3 - 10*b**2 + 12*b - 50. What is the lowest common multiple of 22 and m(7)?
2530
Let m(o) = -o - 11. Let x be m(-10). Let c(u) = u**2 - u - 1. Let g be c(x). Find the common denominator of g/4*52/(-22) and 83/2.
22
Let h be (9216/(-771))/(-4) + -3. Let d = h + 11849/2313. Let g = -234/7 - -31. Calculate the common denominator of d and g.
63
Find the common denominator of (-21128)/(-8400) + (-4)/(-50) and 37/7.
42
Let w = 51 - 51. What is the common denominator of w/10 + (-42)/20 and ((-6)/(-56))/((-1)/(-24))?
70
Suppose a + 4*s = 6*s, -a - 3 = -5*s. Suppose -h - a + 42 = 0. Calculate the common denominator of 43*(-4)/h - -2 and 39/2.
10
Let x = -5709 + 137011/24. Let g = 9/23 + -1499/69. What is the common denominator of x and g?
24
Let j = 38 + -33. Suppose 18 = 2*f - 2*g, -j*f - 5*g + 17 = -3*g. Let v(p) = -p**3 + 2*p**2 + p - 1. Calculate the smallest common multiple of v(1) and f.
5
Let s(o) = o**3 + 37*o**2 + 159*o + 17. What is the least common multiple of 168 and s(-32)?
1176
Let n = -62020604 - -113683779653/1833. Let u = 3/1222 + n. Find the common denominator of 119/40 and u.
120
Let p = -2/6677417 - -160071040346/73451587. Let y = -6542/3 + p. Calculate the common denominator of -49/36 and y.
396
Let q = -67 + 72. Suppose 5*a + o + 1 = 6, -q*o - 33 = -4*a. Suppose 4*t = -4*l + 76, -5*l - 14 + 1 = -t. What is the smallest common multiple of t and