928 - 1766. Calculate the lowest common multiple of t and 171.
3078
Let n(r) be the second derivative of r**4/12 + 2*r**3 + 3*r**2 - 8*r. Let b be n(-11). Let k = b - 15. What is the common denominator of 33/8 and k?
8
Suppose 3*u + n = -0*n + 10, -4*u + 15 = n. Suppose -3*y + u*m = -0*m - 38, 3*m = -y + 36. What is the lowest common multiple of 30 and y?
210
Let j(u) be the second derivative of u**5/10 + 15*u**4/4 - 23*u**3/6 + 3*u**2 - 2*u. Calculate the least common multiple of 42 and j(-23).
42
Suppose 5 = 7*w - 9. What is the least common multiple of 0*(-3)/9 - -20 and w?
20
Suppose -2*r - 2*t + 16 = 3*r, 3*r + 4*t = 18. Suppose 4*c = 3*b + 14, 0 = -5*c + 3*b - r*b + 12. Calculate the least common multiple of 6 and c.
6
Find the common denominator of 113/30 and -3 + 13/(4290/1488) + -2.
330
Let b = -117508/55 - -78/55. Let f = 2131 + b. Calculate the common denominator of f and ((-2)/6)/((-12)/(-9)).
44
Calculate the lowest common multiple of (11/(-44))/(3/(-2784)) and 522.
2088
Let v(d) = d - 1. Let g(a) = -3*a + 4. Let t(b) = -6*g(b) - 17*v(b). Let q be t(0). Let m(h) = 2*h + 17. Calculate the lowest common multiple of 3 and m(q).
3
Suppose 0 = 5*b - 2*h - 0*h - 8, b - 1 = h. Find the common denominator of ((-11)/(-3))/(14/(-9)) and (-3160)/32*b/(-55).
154
Let u = 379/8 + -1431/40. Suppose -5*h + c = -933, 0 = -3*c + 7*c + 12. What is the common denominator of u and h/(-12)*(-4)/(-18)?
45
Let b(w) = w**2 - 31*w + 352. Calculate the lowest common multiple of 440 and b(11).
1320
Suppose -5*h = 3*u - 24, -5*u = 3*h - 2*u - 18. Let q(z) = -z**3 + 5*z**2 - 4. What is the lowest common multiple of 7 and q(h)?
14
Let l(n) = n**3 - 12*n**2 + 23*n - 16. Suppose -21 = -2*h + 2*w + 5, -41 = -5*h - 3*w. What is the lowest common multiple of 20 and l(h)?
140
Let g = 2 - 10. Let m = 460 - 462. Let f = m - g. Calculate the lowest common multiple of 1 and f.
6
Let g = 25883/4110 + 1/411. What is the common denominator of g and (12/(-14))/(36/(-280))?
30
Suppose -4*t + 2 = -w - 1, -4*w = -3*t + 12. Suppose -3*q - 30 = -6*q - p, 3*q - 4*p - 15 = t. Calculate the lowest common multiple of 2 + 3/(3/8) and q.
90
Calculate the common denominator of -37/14 and (2/(-945))/((-8)/((-21624)/(-17))).
630
Suppose 3*f = -0*b - 3*b + 54, 2*f - 4*b = 48. Let v = f - 12. Suppose 3*m - 18 = 9. Calculate the least common multiple of m and v.
72
Let n(f) = -f**3 - 24*f**2 - 45*f - 22. What is the lowest common multiple of n(-23) and 20?
2420
Suppose 4*c - 40 = -5*u, -6*c + 9*c = -5*u + 30. What is the lowest common multiple of c and 12?
60
Suppose 9*u + 448 = 2239. Calculate the lowest common multiple of u and 8.
1592
What is the common denominator of -29/9 and ((-6)/(-8))/(10/(2940/18))?
36
Let u = -717218/189 - -3795. Calculate the common denominator of 67/30 and u.
1890
Let r(v) = 4*v - 5. Let q(z) = -3*z + 6. Let d(s) = 3*q(s) + 2*r(s). Calculate the lowest common multiple of d(0) and 9.
72
Find the common denominator of -108*(5/(-8) + 1) and -5 - ((-1)/(-7))/(2/(-142)).
14
Let w = -7 + 11. What is the common denominator of w/(-14) - 44/(-448) and -5 + 195/24 - -6?
16
Suppose -k = 5*y + 25, 13 = -3*k - 3*y - 2. Let m = 685 + -675. What is the lowest common multiple of m and (k + 24/15)*10?
80
Let s be -67 - 4/(-6)*6. Let w be 128/3*s/(-28). Suppose -w + 6 = -5*c. What is the smallest common multiple of 16 and c?
144
Suppose 3*f - 74 - 61 = 0. Suppose 0 = s - 49 + f. What is the smallest common multiple of s and 8?
8
Let f = -25 + 41. What is the common denominator of 33/(-22) + f/(-3) and (-29)/18 - 1/(-3)?
18
Let i = 123 + -84. Find the common denominator of 16/7 and i/4*5/6.
56
Let f(g) = -g**2 - g - 35. Let m be f(0). Let o = m - -74. Let r = o + 1. What is the lowest common multiple of 20 and r?
40
Let q = 4/779 - -38159/2337. What is the common denominator of q and (-314)/(-126) + 4/14?
9
Let u = 384571/245490 - -1/8183. Calculate the common denominator of -57/65 and u.
390
Let m(x) = -x**3 - x**2 + x. Let k be (-1 - -4 - -3) + 3. Suppose -5*b = -8*b + k. What is the smallest common multiple of b and m(-2)?
6
Let i = -37 - -38. Find the common denominator of (4 - 98 - i)/(-4) and -13/14.
28
Let i = 99 + -3. Suppose 5*n = -3*u + i, 5*n - 2*n = -u + 60. What is the smallest common multiple of 6 and n*4*3/14?
18
Let l(k) = -k + 3. What is the least common multiple of (8/14*-5)/((-3)/21) and l(-7)?
20
Suppose 2*b - 3*n = n + 12, -b = 3*n - 16. What is the smallest common multiple of 10 and 30/((-3)/b*-5)?
20
Let d = -125 - -276. Calculate the least common multiple of 5 and d.
755
Let a(u) = u**2 - 1. Let d be a(-1). Let y(m) be the second derivative of m**3/6 + 4*m**2 + 2*m. What is the least common multiple of y(d) and 2?
8
Let l = 27/7 + -22/7. Find the common denominator of (124/(-48))/((-3)/2 - -3) and l.
126
Let a = -39 + 39. Suppose a = 3*d + 6, 0*t - 13985 = 3*t + 4*d. Let c = t - -74599/16. Calculate the common denominator of -9/46 and c.
368
Let l(v) = v**3 + 2*v**2 + 2*v. Let z be 7 - 1 - (-6 - -10). Calculate the least common multiple of l(z) and 6.
60
Suppose 7 = 6*j + j. Let g = 2/1063 + -49965/2126. What is the common denominator of g and (1 - ((-92)/40 + 0)) + j?
10
Calculate the common denominator of (6 - (-11562)/(-2100)) + 6/21 and -67/240.
1200
Calculate the common denominator of 52/135 and (6/40)/(1 + (-1938)/1884).
270
Let w(y) = y**3 - 5*y**2 + 5*y - 4. Let c be w(2). What is the lowest common multiple of (c - -4 - -3) + 3 and 4?
4
Suppose 0*a - q = 4*a + 18, -2*q = 2*a + 6. Calculate the least common multiple of (-664)/(-20) - (-1)/a and 7.
231
Let h = -456 + 464. Let v(y) = y**2 + 6*y + 5. Let m be v(-5). Suppose -4*a - 3*j = -31, m*j = -a + 5*j + 25. Calculate the lowest common multiple of a and h.
40
Let r = -523 - -541. Calculate the lowest common multiple of 159 and r.
954
Calculate the lowest common multiple of 861/(-82)*152/(-14) and 1.
114
What is the common denominator of 61/8 and (-1 + 203/252)/(1 - 2)?
72
Suppose p - 2*p = -2. Suppose -35 = -5*u + 5*w, -p*w = -3*u + 5*u - 26. Calculate the lowest common multiple of u and 14.
70
Suppose 4*h - 3*u + 13 = 0, u - 4*u + 20 = -5*h. Calculate the smallest common multiple of (-15 - h)/(1/(1 - 2)) and 16.
16
Let f = -20081 - -361313/18. Let h(n) = -8672*n**3 + 2*n**2 + 2*n + 1. Let w be h(-1). Let r = -52153/6 + w. Calculate the common denominator of f and r.
18
Let d = 869/805 + 4/115. What is the common denominator of d and 57/14?
70
Let f = -7668 + 7708. Calculate the lowest common multiple of f and 1/(2/20) - -2.
120
Let f = 9 + -6. Suppose -2*u = -f*u + 4. Suppose 57 = u*h - h. Calculate the lowest common multiple of h and 5.
95
Suppose w = 2*i - 164, 5*w = 3*i - 8*i + 440. What is the smallest common multiple of i and 12?
84
Let u = -14603 + 394214/27. Find the common denominator of ((-20)/48)/((-7)/(-22)) and u.
378
Let z = -15 + 9. Let o = z + 8. Calculate the lowest common multiple of o and (-7 + 2 + (-8)/4)*-2.
14
Let f = 3 - -23. Let q = 34 - f. What is the least common multiple of q and 2?
8
Suppose -4*a + f = -62, -2*a + 74 = 2*a + 5*f. Calculate the common denominator of -123/20 and 87/(-14) - a/(-8).
140
Find the common denominator of 1/(-2)*(28/10 + 1) and 20/167.
1670
Let t = -883 - -886. Suppose 144 = 5*s + 3*z, -4*z - 93 = -3*s - 8*z. Calculate the least common multiple of t and s.
27
Let v be 0*(-2 + 10/4). Let y be v + 2122*(-1)/(-120). Let b = -63/20 - y. What is the common denominator of b and -36/11?
66
Let n(p) = -p - 5. Let h be n(-15). Suppose h*q - 32 = 2*q. Calculate the lowest common multiple of q and 1.
4
Suppose 0 = -5*a + 3*n - 104, -8*n + 84 = -4*a - 6*n. Find the common denominator of a and 31/8.
8
Let f = -296 - -299. What is the lowest common multiple of 141 and f?
141
Let o = 6/211 - 7819/422. Calculate the common denominator of o and 97/24.
24
Find the common denominator of -13/20 and (-175)/105 + 247/(-12).
20
Let p = 0 + 3. Let b be (-4 - -5)/(p/51). Let g = b - 13. What is the lowest common multiple of g and 10?
20
Suppose 0 = 116*f - 113*f - 42. Let o(z) = 2*z**3 - z - 2. Let i(d) = d - 2. Let y be i(4). Calculate the smallest common multiple of f and o(y).
84
Let l be 14/6 + 3/(-9). Let y(t) = 6*t + 0 + 2 - 1 - l. Calculate the smallest common 