5. Calculate the least common multiple of s and 2.
160
Let r = 81 - 921. Let l = r + 8469/10. What is the common denominator of (-6)/21 - 194/(-28) and l?
70
Suppose 2*f + 122 - 532 = 0. What is the least common multiple of f and 2?
410
Let y(q) be the first derivative of 6 - 2*q + 1/2*q**2. Calculate the lowest common multiple of 3 and y(7).
15
Suppose -m + 5 = -0*m + 4*o, 2*o + 15 = 3*m. Suppose w = m*q - 4*q + 20, -q = 1. Let y = w - 13. Calculate the least common multiple of 4 and y.
12
Let y(c) = -c**3 + 7*c**2 - 4*c + 10. Let s be y(7). Calculate the lowest common multiple of (-948)/(-108) - 4/s and 21.
63
Suppose -3*o - 546 = -3*f - 6366, -4*f - 7751 = 5*o. Let v = -11671/6 - f. Calculate the common denominator of -59/20 and v.
60
Let k be -2 + 974/195 - 3. Let a = k - -125/39. What is the common denominator of a and 67/2?
10
Suppose 0 = -k - 4*k + 50. Calculate the lowest common multiple of k and ((-84)/126)/((-2)/6).
10
Calculate the common denominator of (-2 + 3)*(-28)/(-108) and 71/12.
108
Suppose 0 = 3*f + 8*y - 7*y - 1403, -5*y = -5*f + 2345. Calculate the least common multiple of 33 and f.
5148
Calculate the lowest common multiple of 282 and 2/(-4)*-29 - 54/(-36).
2256
Suppose 0 = 4*p - p - 3*m - 30, 0 = -2*p + 3*m + 23. Calculate the common denominator of p/35 - (-393)/10 and -113/6.
6
Let d be 311/(-5) + 1/5. Let r be 13/(-10)*d/88. Let f = r - -147/40. Calculate the common denominator of f and -59/8.
88
Suppose 4*n - 60 = 24. Let t = n - -9. What is the smallest common multiple of 18 and t?
90
Let q(r) = -r**2 + 27*r - 76. Calculate the least common multiple of 30 and q(23).
240
Let t(g) = -2*g**3 + 2*g**2 + 3*g - 2. Let c be t(2). Let j be (2/c)/(17/(-408)). Let h = -5 + j. Calculate the lowest common multiple of h and 7.
7
Let w = 11866 - 71089/6. What is the common denominator of ((-1)/3)/(18/(-151)) and w?
54
Let v = 3858 - 154283/40. Let y = v + -3/10. Let s = -40829/140 + 2032/7. Find the common denominator of y and s.
40
Let c = -986762499488/5007 + 1182459605/6. Let j = c + 2/1669. Find the common denominator of j and 43/4.
12
Let v(d) = d**3 + 31*d**2 + 19*d - 297. Calculate the lowest common multiple of 105 and v(-30).
1155
Suppose -5*r = -2*r + 5508. Let o be (r/(-152))/9 + -2. Let d = 1085/228 - o. Find the common denominator of -41/6 and d.
12
Let h be 0 - (-3 - (5 - -1) - -3). Suppose -26 = -h*v + 82. What is the smallest common multiple of 24 and v?
72
Let w = 84399/75424325 + 1/43075. Let g = 176859/7004 - w. Find the common denominator of 13/3 and g.
12
What is the common denominator of -2/783 and 3 + (-3 - 36/(-8))*-4?
783
Let s(m) be the second derivative of m**4/6 + 3*m**3/2 + m**2/2 - 10*m. Let j be s(-5). Find the common denominator of ((-73)/(-2))/(j/4) and 23/20.
60
Let l be 7/(-28) + 341/4. Let x = l + -121. Find the common denominator of x and -43/6.
6
Let u = 34 - 20. Suppose -3*o - f = -24, -3*o + u = 4*f - 10. Calculate the lowest common multiple of o and 1.
8
Let u(t) = t**2 + 3*t + 3. Suppose -4*b + 78 = -14. Suppose s = 4*g + 10, 0 = -3*s + 3*g + 2*g + b. Calculate the least common multiple of u(-3) and s.
6
Let r = -1935/180026 - -1/1837. Let p = 1783 + -28517/16. Find the common denominator of r and p.
784
Suppose -s = 2*s. Suppose -3*h + 1232 - 12575 = s. Let q = -60453/16 - h. Find the common denominator of q and -21/16.
16
Let j(y) = y**3 + 5*y**2 - y + 4. Let h(x) = 7*x**3 - x + 1. Let v be h(1). Suppose -v*d + 17 + 11 = 0. What is the smallest common multiple of d and j(-5)?
36
Let i = 11 - 1. Let a be (-20)/(-25)*10/4. Suppose 22 = a*o - 5*z, 0*o = 4*o + 4*z - 16. Calculate the smallest common multiple of i and o.
30
Let r be (-534)/(-27) + 2/9. Suppose -2*d - 80 = -4*h, -4*d = -h - 0*h + r. Let n = h + -10. Calculate the lowest common multiple of n and 24.
120
Let b(h) = -h + 11. Let o be b(9). Let y = o + 20. What is the smallest common multiple of y and 62?
682
Suppose -p = 2*p + 33. Let g = p - -10. Let d = 15 + g. What is the lowest common multiple of d and 22?
154
Suppose -z + 1805096 = -5*z. Let a = z - -6224422279/13793. Let h = 1337969/220688 + a. Find the common denominator of h and 47/20.
80
Suppose -5 = k, -3*o - o + k = -25. Let j be 6/9*45/(-6). What is the smallest common multiple of 2 and (-16)/j*o/2?
8
Let z = -11 + 15. Let x = 17 - -15. Suppose -x*m + 90 = -27*m. What is the lowest common multiple of m and z?
36
Let t = -53893/45650 + -36/913. Find the common denominator of 21/20 and t.
100
Find the common denominator of (1 + (-10)/(-2))/(-13) and 871/(-78) + -8 + -2.
78
Let n(x) = -x**3 - x**2 - 2*x - 1. Let m(a) = -3*a**2 + 19*a - 2. Calculate the least common multiple of m(6) and n(-1).
4
Let r(g) = 4*g. Let i be r(5). Suppose -i = -0*z - z. What is the smallest common multiple of 68 and z?
340
Let o = -84 + 87. Calculate the lowest common multiple of o and 45.
45
Let f = 117865/86049 - -2/3187. Calculate the common denominator of f and -1/12.
108
Calculate the common denominator of (-10)/2*(-91)/351 and 67/15.
135
Let k = 242/73 - 5119/3504. Calculate the common denominator of 77/12 and k.
48
Let m(n) = -n**3 + 6*n**2 + 8*n - 2. Let l be m(7). Suppose l*z - 140 - 40 = 0. Find the common denominator of -3/20 and (-519)/z + (-2)/6.
20
Let d(v) = v**3 - 6*v**2 + 5*v + 2. Let r be 2233/55 - 4/(-10). Suppose 4*o = 5*q - r, -17 = -5*q - 5*o + 3*o. What is the lowest common multiple of d(q) and 8?
8
Let l = -146001/4640 + 929/29. What is the common denominator of -71/70 and l?
1120
Let i = -21 - -9. Calculate the common denominator of 17/47 and (7/(231/2))/((-8)/i).
517
Suppose 8*c + 525 = 43*c. Calculate the smallest common multiple of 18 and c.
90
Let t(x) = -x**3 + 4*x**2 + 6*x - 2. Let h = 9 + -6. What is the smallest common multiple of t(h) and 9?
225
Let m = -1/9729642 + -200707919987/97296420. Let x = 2067 + m. Find the common denominator of x and -43/6.
60
Let a = -2/21469 - 1245004/2125431. What is the common denominator of 109/88 and a?
792
Suppose -6*k + 7 = -11. Let l(q) = 2*q**3 - 4*q**2 + q - 3. Calculate the smallest common multiple of 18 and l(k).
18
Let d(r) = 4 + 5*r**2 + 3*r + 3*r + 2*r**2 + 3*r - r**3. What is the smallest common multiple of 24 and d(8)?
24
Let m be 2/(-10) - 3/(-15). Let r be (-10)/(2 - 3 - 1). Let v = m + r. Calculate the lowest common multiple of v and 7.
35
Suppose 0 = 4*s - 2*s - 4. Let f = 9 + -7. Suppose 0 = f*k + s*k - 72. What is the lowest common multiple of k and 14?
126
Suppose 0 = 3*w - 0*w - 21. Let t = -713 + 218. What is the lowest common multiple of w and ((-4)/(-6))/((-30)/t)?
77
Let b be (-10)/(-4)*(0 + 2). Suppose 0 = n + 4*m + 399, 0 = b*n + 5*m + 956 + 1024. Let w = 1533/4 + n. Find the common denominator of 20/9 and w.
36
Let g = 354586 + -126501. Let d = 2048941/9 - g. Let n = -426 - d. What is the common denominator of n and -23/6?
18
Let f = -3973328/1283556245957 - -1/558853. Let h = -6375831749/769417615 - f. Let l = h - 21/67. What is the common denominator of 43/7 and l?
35
Let i = 494528/49 + -10092. What is the common denominator of i and -36?
49
Suppose 0*o + 2*o = 44. Let z be 21/(-27) + 4/(-18) - 1. Calculate the smallest common multiple of -1 - -2 - (z + (-9)/3) and o.
66
Let r be ((-92)/(-161))/(2/14). Suppose -50 = -t - 5*m - 5, 40 = t + r*m. Calculate the least common multiple of 16 and t.
80
Let p = -594 - -847. Calculate the least common multiple of p and 184.
2024
Suppose 2*q - 43 = -q + 5*m, 4*q + 3*m - 9 = 0. Suppose -126*j + 2400 = -108*j + 182*j. What is the smallest common multiple of j and q?
12
Suppose 0*c - 4*h = -5*c - 1, 0 = 3*c + 2*h + 5. What is the common denominator of (-2563)/(-264) + c + (-2)/(-3) and 13/22?
88
Find the common denominator of -77/10 and (6086/(-612))/(20/(-3)).
120
Suppose 6*n = 171 + 225. Suppose -2*c - 9*c + n = 0. Calculate the least common multiple of c and 21.
42
Let z = -23831736841920412 + 330090670179438993027047/13850886. Let j = z - 2/407379. Let b = 81/17 + j. Calculate the common denominator of b and 111/22.
22
Let j(x) = x**2 + x - 7. Let r be j(7). Let y = 2 + r. What is the smallest common multiple of y and 9?
153
Let p be 4/18 - 0 - (-12656)/(-111384). Let o = 17213/9945 - p. Find the common denominator of o and 77/24.
360
Calculate the common