6.
15
Let a = -47 - -69. What is the lowest common multiple of 10 and a?
110
Let k(q) = 2*q. Let u be k(-1). What is the common denominator of 31/12 and u - (-3)/44*-6?
132
Suppose -3*l - 3*b = -69, -4*l + b = -l - 65. Suppose -2*h = 3*h - 60. Calculate the lowest common multiple of l and h.
132
Let i = 20 - 14. Calculate the least common multiple of i and 16.
48
Let v = -19 - -31. Let y(j) = -j - 1. Let o be y(-3). Find the common denominator of -63/22 and (o/v)/((-11)/267).
22
Let r = 45473/6 + -7600. What is the common denominator of r and 0 + 1 - 166/(-4)?
6
Let g = -39 - -59. What is the smallest common multiple of 82 and g?
820
Let l = -17539/6 - -105511/36. Let t = l + 17/36. Let m = -600 - -1237/2. Calculate the common denominator of m and t.
6
Let s(q) = q**3 + 2*q**2 - 2*q - 1. Let h be s(-2). Let j(b) = -b**2 + 5*b + 6. Let t be j(6). What is the common denominator of t - (-1 + h/(-10)) and -7/20?
20
Find the common denominator of 61/9 and (3/(-12))/((-4)/(-632)).
18
Let w be (32/(-6))/(1/3). Find the common denominator of (-12)/w*22/(-9) and 59/20.
60
Let i = -3/1480 - -16431/1480. Find the common denominator of i and 59/2.
10
Suppose -3*z + 5 - 17 = 0. Calculate the smallest common multiple of 12 and (-5)/20 + (-41)/z.
60
What is the lowest common multiple of 2 and 4*((-3)/(-2) - -1)?
10
Let l(q) = q**3 - 6*q**2 + 1. Let d be l(6). Suppose 2*i - 3 = d. What is the smallest common multiple of i and 4?
4
Let t = 28 - -77. Find the common denominator of 2/5 and -1 + (t/12)/(-5).
20
Let i(d) = -d**2 + 8*d + 7. Calculate the least common multiple of i(7) and 80/14 - (-4)/14.
42
What is the common denominator of -5/14 and ((-25)/80)/(2/(-56)) + -2?
28
Let t(u) = 2*u**2. Let w be t(1). Suppose w*s - 7*s = -3*p + 82, 6 = s + 5*p. Calculate the common denominator of -21/10 and 3/s*(-7)/(-2).
20
Let q = 18 - 19. Suppose -2*s - 32 = -0*s. Calculate the lowest common multiple of (q/2)/(1/s) and 10.
40
Let f(x) = -3*x + 2. Let p be f(6). Let k be (-3)/(-2)*p/(-6). Suppose -14 = -2*q - 0*q - 2*r, k*r = 2*q - 44. What is the lowest common multiple of 8 and q?
24
Let j be 84795/108*(-3224764)/(-230). Let h = j - 11008176. Let t = h + -616/23. Find the common denominator of -1/18 and t.
18
Suppose 5*j + 140 = 10*j. Let q = -6 + j. Suppose -3*c + 16 = -4*l, 4*c - 3*c - 37 = -5*l. Calculate the lowest common multiple of c and q.
132
Suppose 0 = 2*g + 6 - 16. Suppose -159 = g*r - 0*r - 2*c, 3*c + 42 = -r. Let q = 2444 + -24461/10. What is the common denominator of q and r?
10
Let s be ((-18)/644)/1 + 0. Let i be (-25)/(-46) + (-5)/10. Let h = s - i. Calculate the common denominator of h and -91/22.
154
Suppose -4*z + 20 + 20 = 0. Find the common denominator of -29/8 and 2/z + 738/(-165).
88
Let g(a) = 3*a - 1. Let c be g(-4). What is the common denominator of (c/(-3))/(5/(-12)) and 31/9?
45
Let a = -9598 - -192017/20. Let t = -1289/60 - a. What is the common denominator of -73/8 and t?
24
Suppose -2*h - 3*p = 18, -5*h + 5*p - 108 = -38. Calculate the common denominator of 1 + (815/h)/5 and 49/2.
12
Let h = -81272 + 814709/10. Suppose -2*v + 788 = 2*v. Let u = h - v. What is the common denominator of -53/20 and u?
20
Let z = 70/37 + 875/222. Find the common denominator of z and 57/20.
60
Let z = 630311/981 - 3157/109. Let f = 617 - z. Find the common denominator of f and 93/2.
18
Let m = 274/21 - 629/28. Let s = -844/15 + 4891/60. What is the common denominator of s and m?
12
Find the common denominator of -39/8 and 4/7 + ((-552)/(-63))/1.
24
Let y be (13 + -2 + 1)/(-1). Let m = y + 18. Calculate the least common multiple of m and 32.
96
Suppose 5*h - 3*h - 34 = 0. Calculate the common denominator of h and -21/2.
2
What is the common denominator of (1/2)/((-12)/(-58)) - -1 and -69/10?
60
Let i(m) be the first derivative of m**4/4 + 7*m**3/3 - 2*m**2 - 6*m - 3. Calculate the lowest common multiple of i(-7) and 4.
44
Let s = 142 - 122. Let f(p) = 1 - 4 + 4 - 7*p. Calculate the least common multiple of s and f(-3).
220
Suppose -2*p = -8 - 18. Let o = 9 + p. Calculate the smallest common multiple of 4 and o.
44
Let m = 2061 - 45257/22. Find the common denominator of 37/20 and m.
220
Suppose 2*z + h = 20795, 0 = h + 2*h - 9. Suppose -z = -w + 5*w. Let d = w - -15481/6. What is the common denominator of d and -95/6?
6
Suppose -2*a - 3*u = -1, -5*u + 4 = 9. Suppose 3*s = 4*n - 4, -2*n - a*n + 4 = s. Let c(g) = 3*g. What is the least common multiple of 7 and c(n)?
21
Let p(n) = -2*n**2 + 28*n + 18. Calculate the smallest common multiple of 3 and p(12).
66
Let h = 141655/18 - 7865. Let f = 238273/20 + -11909. What is the common denominator of h and f?
180
Calculate the common denominator of -47/14 and (-2)/(-8) - (-139)/28.
14
Let b = 4 - -26. Find the common denominator of (-3745)/28*(-4)/b and -117/20.
60
Suppose -2*r - 16 = 218. Let a = -826709/10 - -82788. Let y = r + a. What is the common denominator of y and 40/3?
30
Suppose n = -3*k + 5 - 2, 5*n - 4*k = 34. Let o(u) = u - 4. Let r be o(n). Let y = r + 8. Calculate the lowest common multiple of y and 2.
10
Calculate the common denominator of 14/3 and (-3)/(-4)*(-222)/45.
30
Let l = 47 - 9. Calculate the smallest common multiple of 20 and l.
380
Let q = -220899169/26660 - -356888/43. Let n = -28/155 + q. What is the common denominator of 67/14 and n?
28
Suppose 0 = 2*g - 4, 0*u + 18 = 4*u + 3*g. Let z = 9 + -4. Suppose -z*l = -26 - 4. Calculate the lowest common multiple of u and l.
6
Calculate the common denominator of 22 and 53/(-8) + (-6 - -5).
8
Let t(k) = k**2 - k. Let x be t(-1). Let m be (-8)/x*12/8. Calculate the smallest common multiple of 22 and ((-8)/m)/(3/9).
44
Let t = 0 + 16. Suppose 6*i = 4*i + 4, -2*i + t = 4*w. What is the smallest common multiple of 4 and w?
12
Let d(n) = n**2 - 2*n + 3. Suppose -w - 3*w + 100 = 0. Suppose -p - k = -10, -p + 3*k = -w + 7. Calculate the lowest common multiple of p and d(3).
12
What is the common denominator of 4/(-10)*1090/24 and -23/7?
42
Calculate the common denominator of 13/10 and 7/(-16)*-9 + 2.
80
Suppose 3 = 8*a - 5. What is the lowest common multiple of a and (4/(-10))/(1/(-20))?
8
Let y(j) = -j - 14. Let x be y(0). Find the common denominator of 0 + 13*(-1)/3 and -1 - (-1)/(x/(-44)).
21
What is the common denominator of -6 - (-56)/8 - 13/(-2) and 1?
2
Suppose 0*c - y = c - 7, -2*c - 7 = -5*y. Find the common denominator of 11/4 - c/10 and -41/2.
20
Let n = 244 - 403/2. Let h = 1/9823 + -795826/1601149. Let x = h - 15979/1630. What is the common denominator of n and x?
10
Let q(t) = t**2 - t. Calculate the lowest common multiple of q(-1) and 6.
6
Let b(v) = 16*v**2. Suppose -2*i - 2*g = g - 14, 2*i + 2 = g. What is the least common multiple of b(i) and 6?
48
Let m = -14075/8 - -1754. Calculate the common denominator of 22 - (0 - (0 + 2)) and m.
8
Calculate the smallest common multiple of 8 and ((-6)/4)/((-15)/40).
8
Let m = -651 + 5137/8. Calculate the common denominator of -21/10 and m.
40
Let x = 11 + -7. Let l be ((-12)/2)/(-1) + 0. Let d(c) = c**3 - 6*c**2 + 6. What is the lowest common multiple of x and d(l)?
12
Suppose 0*s + 4*s - 28 = 0. Let c(l) = l**2 + 13*l - 10. Calculate the least common multiple of c(-14) and s.
28
Suppose 4*r - 16 = 0, 9*r + 24 = 2*z + 4*r. Calculate the lowest common multiple of z and 6.
66
Let j = 6 + -4. What is the least common multiple of 154/35 - j/5 and 2?
4
Let s = -43 + 177/2. Let d = -600 - -1005. Find the common denominator of s and d/6*(-2)/80.
16
Let v(h) = 135*h**2 + 2*h - 1. Let p be v(1). Let f = -398 - -2359/6. What is the common denominator of -1 + -1 - p/(-22) and f?
66
Let h = 1000 + -2061/2. Calculate the common denominator of h and (-4)/(-6) + 4*(-1315)/(-1200).
20
Let f be -3 - (-132 - -3)/(-3). Calculate the lowest common multiple of 6 and 2/(3 - f/(-16)).
48
Calculate the common denominator of -47/4 and (-192)/(-20) + (-1 - -1).
20
Let l = 5 + -7. Let f be 8/l*(-7)/(-7). Calculate the smallest common multiple of (4/6)/(f/(-12)) and 16.
16
Let h = 127/9 + 95/36. What is the common denominator of 0/(-2) - (-500)/(-48) and h?
12
Suppose -5*m + 27 = u, -2*u - 2*m + 22 = -0*m. Calculate the common denominator of (-6 + u)/((-6)/(-225)) and (-1 - -2)/((-6)/243).
2
Suppose -q + 7613 = 152746. Le