 x - 15. Let h = -21 - -39. What is the least common multiple of h and w?
144
Let f = 112/13 - -503/91. Let q = f + -39/28. What is the common denominator of -35/2 and q?
4
What is the common denominator of -81/14 and (46/12 - -1)/(500/(-450))?
140
Let i = -77 + 125. Find the common denominator of 532/i - (-4)/(-16) and 123/10.
30
Let k = -9 - -18. Calculate the smallest common multiple of 5 and k.
45
Let q = -4 - -8. Suppose -q*t = -5092 - 1344. Let v = t - 6341/4. Find the common denominator of 11/8 and v.
8
Let o be 1/(-4) + 27/12. Suppose -3*l + l = -o. What is the least common multiple of 9 and l?
9
Let p = 13 + -11. Suppose p*l - 16 = l. Suppose -5*m - g + 83 = 0, 47 = 3*m + 4*g - 13. Calculate the lowest common multiple of m and l.
16
Let c = -9464630716127/9295 + 1018249662. Let k = 3/1859 + c. Calculate the common denominator of 62/9 and k.
45
Let a be 3/2 + 6/4. Suppose 2*j = -a*j + 25. Calculate the smallest common multiple of j and 5.
5
Let k(m) = -5*m - 20. Calculate the smallest common multiple of k(-10) and 21.
210
Suppose 3*x = 5 + 19. Let i be 22/(-18) + 2/9. Calculate the smallest common multiple of 2/(4/(-6) - i) and x.
24
Let o(b) = -b**3 + 6*b**2 + 8*b - 2. Calculate the lowest common multiple of 4 and o(7).
20
Let b = -287041/20262 + -2/10131. Let u = 1/6 - b. Calculate the common denominator of 1 - 34/(-20) - 1 and u.
30
Let t be (3/(-4))/(3/(-12)). What is the common denominator of 79/4 and 3/36 + (3 - t)?
12
What is the lowest common multiple of 2/7 + 4750/133 and 20?
180
Calculate the common denominator of ((-6)/36)/(3/(-3)) and -119/12.
12
Suppose -4*p = -1 - 3. Let q = 15 + -11. Calculate the smallest common multiple of q and -18*1/(-2) - p.
8
Let v = 7 + -5. Suppose -6*o + v*o + 34 = -3*a, -6 = -3*a. What is the lowest common multiple of 22 and o?
110
Suppose 1 = -3*t + 7. Find the common denominator of (-5)/(-15) - (-21)/(-2) and (-14)/3 - t/12.
6
Suppose -16 = -z - 7. What is the smallest common multiple of (1 + 2 + -5)*-3 and z?
18
Let o(n) = -n**3 + n - 1. Let s be o(0). Let k be s/(-5)*-2*-20. Suppose 2*a = k*g - 4*g + 36, 5*a - 34 = -4*g. What is the smallest common multiple of 6 and a?
30
Suppose 0 = -t - 3*v, 3*v + 3 = -3*t + 15. Suppose -k + 2*u + t + 2 = 0, 5*u = -2*k - 11. Calculate the smallest common multiple of 5 and k.
10
Suppose 0*i + 2*i + 32 = 4*k, -2*k - 2*i + 4 = 0. Let p = -163 - -171. Calculate the least common multiple of p and k.
24
Suppose -5*g = t + 22, t + 24 = -t - 5*g. Let b = 2/1141 + 28503/12551. Calculate the common denominator of t*(-67)/22 + -3 and b.
11
Let a = 12 + -8. Calculate the least common multiple of a and 3.
12
Let k = 16113/4 + -4048. What is the common denominator of k and -49/6?
12
Suppose 4*v + 52 = 4*q, -4*q + v + 4*v + 53 = 0. Calculate the common denominator of 86/q + (-6 - -4) and 41/2.
6
Suppose z + 4*j = -10, z - 3*z + 32 = -5*j. Calculate the lowest common multiple of z and 2.
6
Let x = 13175/1672 - 1/209. What is the common denominator of -27/14 and x?
56
Let u = 5 - 3. Let s = -2 + 4. Suppose 3*w + s*z + 7 - 39 = 0, u*z - 8 = -w. What is the least common multiple of w and 12?
12
Let m(k) = k**2 - 1. Let t be m(-1). Suppose t*a = -5*a. Suppose -d = b - 48, -12*b = 3*d - 7*b - 150. What is the common denominator of d and a?
1
Let q = 3/265 + 1301/2120. Find the common denominator of -85/26 and q.
104
Let h be (2/(-6))/(3/(-27)). Suppose -2*s = h*s - 25. Let k = -3 - -9. Calculate the smallest common multiple of k and s.
30
Suppose -2*i - 3*i + 30 = 0. Let x(l) = -l**2 - 10*l - 10. Calculate the lowest common multiple of x(-8) and i/(-9)*9*-1.
6
Suppose 0 = t + 2*g - 12, -4*g - 3 = -3*t + g. Calculate the lowest common multiple of 2 and t.
6
Let h = 80/3 + -595/24. What is the common denominator of -47/220 and h?
440
Let y = 535 + -2119/4. Calculate the common denominator of y and (-14)/20*6/4.
20
What is the common denominator of (-2)/9*98/8 and 27/22?
198
Let w be (-1 + (-1 - 0))*-5. Let l = w - 7. Suppose -2*c + 20 = -0*q - 3*q, -l*q = 3*c. What is the lowest common multiple of 16 and c?
16
Suppose n = 2*q, 0 = -2*n + 8. Suppose l + 2*l - 34 = -q*y, 4*y = -16. What is the lowest common multiple of 14 and l?
14
Let s(u) = u**3 - 7*u**2 - 6. Let j be s(7). What is the common denominator of (j/(-4))/((-24)/(-73)) and -47/20?
80
Let l be (-17696)/21 - 4/(-6). Let o be 7101/l - 2/10. Let p = 28/421 - o. Calculate the common denominator of p and -4/15.
30
Let f(d) be the first derivative of 3*d**2 + 4*d + 2. Calculate the common denominator of f(-6) and 1/2*(-57)/2.
4
Suppose 0*d + 5*d = 0. Suppose -3*r - k = r - 15, d = 2*r - 2*k - 20. Calculate the smallest common multiple of 10 and r.
10
Let i be -3 + (-2)/(106/(-327)). Let h = i - -1659/530. What is the common denominator of 101/8 and h?
40
Let k = -10/489 + -20927/4890. Calculate the common denominator of k and -61/6.
30
Suppose 8 = v - 5*n - 1, -2*v + 2*n = -18. Suppose 5*b - 59 = p, 2*p = b + p - 15. Calculate the lowest common multiple of b and v.
99
Let q = -32 - -40. What is the smallest common multiple of 24 and q?
24
Let y = 148/5 - 1667/45. Suppose -4*f + 16 = 0, 0 = -5*j - 0*j - 2*f - 192. Calculate the common denominator of j and y.
9
Suppose 2*j - 5*d - 17 - 11 = 0, 0 = 4*j + d - 34. What is the common denominator of 53/8 and (-142)/j*6/(-24)?
72
Let m(b) = -b**2 + 9. Let n be m(0). Calculate the lowest common multiple of 6/n*(-21)/(-2) and 6.
42
Let p = 67473/10 + -6742. What is the common denominator of (-14)/(-11)*(-1 + 0)/(-4) and p?
110
Let r = -4 + 16. Let j(i) = -i**2 + 11*i + 12. What is the least common multiple of j(10) and r?
132
What is the lowest common multiple of 43 and (-8)/2 + (2*21)/3?
430
Let b = 93 - 81. What is the smallest common multiple of 30 and b?
60
Suppose -2*o + 8 = u - 0*u, -5*u + 2*o = -88. Calculate the lowest common multiple of 6 and u.
48
Suppose 0 = 4*p - 4*c - 20, -27 = -3*p - 4*c + c. What is the smallest common multiple of p and 13?
91
Let n(q) = -2*q**2 - 7*q - 8. Let c be n(-4). Let u(t) = -t**3 - 13*t**2 - 13*t + 6. Calculate the lowest common multiple of 18 and u(c).
18
Let w(x) = 4*x**2 - 4*x + 2. Let y(z) = z - 1. Let c be y(3). Calculate the smallest common multiple of 3 and w(c).
30
Let u = -286309/97020 - -5/4851. Let l be 298/240 + (-2)/10. Let c = l + -5/8. What is the common denominator of c and u?
60
Suppose 2*o + w = 11, -4*w + 9 = o - 7*w. Let p = o - 0. Calculate the least common multiple of 2 and 2 - (-5)/(15/p).
4
Let g = 64 - 58. Let k = 12 + -2. Calculate the lowest common multiple of k and g.
30
Let b = -3298/3 + 65783/60. Find the common denominator of (-4)/14*(-130)/(-8) and b.
140
Let t = -53/22 + -388/33. Calculate the common denominator of t and 15/16.
48
Let p = -78 - -88. Calculate the least common multiple of p and 82.
410
Let k(v) = -v**2 + 7. What is the smallest common multiple of 9 and k(0)?
63
Let w = -2351/3 - -777. Let a = -1 - w. Calculate the common denominator of 73/9 and a.
9
Let j(d) = -d**3 + 8*d**2 + 3*d - 4. Suppose 5*a - 4*a = 18. What is the smallest common multiple of j(8) and a?
180
Let w(p) be the second derivative of p**4 + p**3/3 + p**2/2 + p. Let c be w(-4). Calculate the common denominator of 53/10 and 2/(-8) + c/28.
70
Let f = 683 - 1301/2. Find the common denominator of -103/6 and f.
6
Let p = 37 - 3. Suppose 2*r + 7 = -3, 4*r - p = -3*v. Suppose -6*w + 20 = -w. What is the smallest common multiple of w and v?
36
Let w be 38/(-12)*(-5)/(-2). Let l = w - -44/3. Calculate the common denominator of l and (194/12)/((-2)/3).
4
Let b(u) = -u - 4. Let i be b(-3). Suppose x - 2 = 8. What is the lowest common multiple of x and 1 - -5 - i - 0?
70
Suppose 4*k - k = 12, 4*d + 3*k = 92. Let h = 18 - -10. Suppose -h = -2*p - 0*p. What is the smallest common multiple of d and p?
140
Let v = 2769/2 - 1433. Find the common denominator of v and 210/16*18/60.
16
Let n = 0 + 11. Let w be (-3)/(-6)*(-36)/(-2). Suppose -2*p = -3*p + w. What is the lowest common multiple of p and n?
99
Let w = -5/1073 - -67649/10730. Let a = 65721 + -40301. Let g = -457693/18 + a. What is the common denominator of w and g?
90
Suppose -10*p = -13*p + 198. Find the common denominator of p/(-40) + (-1)/(-4) and -10/11.
55
Let m = -40 + 50. Calcu