 2. Let w be p(t). Let z = -21 + w. Find the common denominator of z and 52/3.
3
Let h be 1/(4 - (1 - 20/(-6))). Find the common denominator of 2193/68*2/h and 39/7.
14
Let h = -2374 + 2378. Suppose -2*j + 32 = -3*k, -k = 4*j - 1 + 7. Let o = -6 - k. Calculate the least common multiple of h and o.
4
Let k = -144752759910971/34408 - -4206950707. Let b = k + -56/391. What is the common denominator of b and -73/4?
88
What is the common denominator of 6/4 + (-2700)/(-144) and 3/4 - (1650/24)/11?
4
Let q = -896311/50 - -17927. What is the common denominator of q and ((-13)/(-208))/((-9)/1644)?
300
Let n = -20538 + 492821/24. Calculate the common denominator of n and -101/40.
120
Let w = -726 - -909. Calculate the least common multiple of w and 3.
183
Let a = 481757/36 + -13383. Find the common denominator of (-46)/30*3/((-90)/75) and a.
36
Suppose 4*k = -5*w - 9 - 312, 3*k + 127 = -2*w. Let v = 1500 - 10482/7. Find the common denominator of w*(1 - (-198)/(-210)) and v.
7
Let g = -1/74 - 683/111. Calculate the common denominator of g and -61/153.
306
Let s(n) = 7*n**2 + 5*n. Let w be s(-2). Suppose -2*m = -2*a + w, -6 = -2*a - m - 0. Calculate the lowest common multiple of 3 and a.
15
What is the common denominator of 99/514 and 88/12*36*(-3)/(-80)?
2570
Let z(m) = -m**2 + 9*m + 9. Let g be z(9). Suppose g = 3*k - 18. Suppose 2 = -k*q + 11*q. What is the least common multiple of 3 and q?
3
Let x(p) = p + 3*p - 4 - 5*p + 1. Let y be x(-18). Let a = y + -11. What is the least common multiple of a and 4?
4
What is the lowest common multiple of 7 and -8*((2 - 5) + 2)?
56
Let u be 0 + 1*8/1. Suppose u*b - 928 = 4*b. What is the lowest common multiple of b/28 - 2/7 and 4?
8
Suppose -3*k + 2*b = 17, -2*k + b - 11 = -0*b. Let n be 328/(-5) + 8/(-20). What is the smallest common multiple of 14 and (-5)/((-25)/n)*k?
462
Let i(k) = 20*k + 11. Let v be i(9). What is the common denominator of 39 and v/20 + (-3)/(-12)?
5
Suppose -n = u - 4*n + 11, 0 = -4*u + 4*n - 12. Let g be -4*(3/(-12) + 7/(-2)). Suppose z + 2*z = g. Calculate the lowest common multiple of u and z.
5
Let l = -2580 - -4541. Let u = l - 15777/8. What is the common denominator of u and 29/10?
40
Let u = 15 - 0. What is the least common multiple of 12 and 15 + (u/(-45))/(2/(-6))?
48
Suppose 20 = q - 4*o, 12*o = 2*q + 8*o - 48. What is the lowest common multiple of q and 56?
56
Let f = 72 - 66. Let q(a) = 10*a**2 + a + 1. Calculate the least common multiple of f and q(-1).
30
Suppose -2*g - q + 58 = 0, 6*g - 8*g + q = -66. Let n = 13 + g. What is the lowest common multiple of n and 12?
132
Suppose -4*f - 16 = 0, f - 9 = -2*x + 13. Suppose a = 1 + x. Let r(u) = u - 4. What is the lowest common multiple of 16 and r(a)?
80
Let w = 7 + -9. Let x be (-5 - -12)*(-1 - w). Suppose 16 = x*u - 5*u. Calculate the smallest common multiple of 3 and u.
24
Suppose -4*v + 21 + 19 = 0. Calculate the lowest common multiple of (6 - (-26)/(-4)) + 25/2 and v.
60
Calculate the lowest common multiple of (-449)/(-5) - ((-7)/35 - 0) and 35.
630
What is the common denominator of -173/30 and (-2)/(-10) - -3*(-5423)/(-330)?
30
Let r = 165 - 123. Calculate the smallest common multiple of r and 12.
84
Let t(r) = -2*r**2 - 14*r. Let q be t(-4). Suppose -3*i - 5*a + q = 0, 4*i + 0*a - 27 = -5*a. Calculate the smallest common multiple of 28 and i.
84
Suppose -5*a + 5*r = -45, -3*a - 4*r - 4 = a. Suppose -d + 135 = a*d. Let z = d - 17. What is the smallest common multiple of z and 3?
30
Calculate the common denominator of 23/186 and 6*(-2)/3 + 3177/744.
744
Let g = 6767/1860 + -179/155. Find the common denominator of 23/12 and g.
60
Suppose -8*t = -0*t - 16. Calculate the smallest common multiple of 8 and t.
8
What is the common denominator of 49/18 and ((-14)/10)/((-1206)/315)?
1206
Suppose 2*c = -2*c - 624. Calculate the common denominator of 12/11 and 24/(-156) + (-3638)/c.
66
Suppose -x - 15365 = 4*x. Let s = 36775/12 + x. Let g = 7651 - 91903/12. What is the common denominator of s and g?
12
Suppose -10*r + 4*r = -456. Find the common denominator of (-4)/(-3)*(-1)/16*-214 and (-3 + r/24)*-107.
6
Suppose -7*k + 255 = -2*k. Let b = -35 + k. What is the least common multiple of b and 18?
144
Let o(m) = 16*m - 4. Let q be o(7). Suppose -29 = 5*b - n - q, -2*b = -5*n - 27. Let l(k) = k**2 - 16*k + 7. What is the lowest common multiple of 2 and l(b)?
14
Let s = 1194 - 7075/6. Find the common denominator of s and -3 + 11*(-1)/(-14) - 0.
42
Let p = 1516 + -1308. Calculate the smallest common multiple of p and 1.
208
Let w = -356583/56 + 6368. Find the common denominator of -145/84 and w.
168
What is the common denominator of (4 + 2)/((-84)/33) and (2 - (-5)/(-8))*18/6?
56
Calculate the least common multiple of 92/15 - 106/795 and 5.
30
Let q = -8/3186733 - -427235733239/50987728. Let o = -8383 + q. Calculate the common denominator of o and -119/6.
48
Let p = -16 + 14. Calculate the common denominator of -127/18 and p/10*309/(-6).
90
Calculate the common denominator of (-14)/(-66)*(-123)/42*-4 and 32/3.
33
Calculate the common denominator of (-830)/48*(-12)/(-270)*9 and 101/32.
96
Let j(s) = -s**2 + 28*s - 19. Calculate the least common multiple of 22 and j(13).
176
Let y(h) = h**3 - 5*h**2 - 10*h - 2. Let p(a) = 5*a**3 - 24*a**2 - 51*a - 10. Let q(i) = 2*p(i) - 11*y(i). What is the lowest common multiple of q(8) and 11?
22
Suppose -4*k + 103 = 4*s + 35, 0 = -3*k + s + 71. Let f be ((-104)/3)/(k/(-33)). Calculate the common denominator of -39/14 and (-273)/f + (-8)/(-10).
140
Suppose 5*f + w - 50 = 0, -2*f - 2*w + w = -17. What is the least common multiple of (0 - -1) + -16 + 21 and f?
66
Let r = 11 - 7. Suppose -r*b = -205 - 371. Find the common denominator of 49/3 and (-32)/b - (-1052)/198.
33
Let n = -559105 - -7262779/13. Let f = -31189/78 - n. Let q = f - 6. Find the common denominator of 31/12 and q.
12
Let p(f) = 5*f**2 + 50*f + 63. Calculate the smallest common multiple of 318 and p(-9).
954
Let n be (-3)/(-2)*2584/114. Suppose 40 = -30*r + n*r. Let d = 12 - 5. Calculate the lowest common multiple of r and d.
70
Suppose -7*z = -2*z. Suppose 0 = -3*o + 4*m, z*o = 3*o + m - 15. Let b(l) = 3*l + 33. Calculate the least common multiple of b(-10) and o.
12
Let b = -367/30 + 137/5. Calculate the common denominator of (-4)/(-1) + 77/(-98) and b.
42
What is the common denominator of (66/88)/((-2)/(-4)) + 47 and 46/239?
478
Suppose -3*t - 1 - 23 = 0. Calculate the common denominator of 17/4 and (1 - 1) + -1 - t/6.
12
Suppose -5*x - 63 = -2*a, 3*a - 5*x - 97 = -0*x. What is the lowest common multiple of 16 and a?
272
Let w = 4 - -2. Suppose a + 3*m + 222 + 14 = 0, -5*a + m = 1196. Let u = 245 + a. Calculate the smallest common multiple of u and w.
6
Let p be ((-19)/(-4) - 5)*(-8)/2. Let u(h) = 11*h**3 - h**2 + 6*h - 4. What is the lowest common multiple of 4 and u(p)?
12
Let f = -158/21 + 27/7. Let q = 12/1175 - 48331/15275. Calculate the common denominator of q and f.
39
Suppose 2*d = 2*c + 554, -d + 2*c = -3*d + 574. Find the common denominator of -2 + ((-5)/((-80)/d) - 3) and -8/3.
24
Suppose 0 = 4*j - 4, 3*s - 6 = -4*j + 13. Calculate the least common multiple of (-45)/(-15) + -2 + 10/2 and s.
30
What is the common denominator of 52/33 and 3/3 + (-525)/(-110) + -2?
66
Let n = 449377/334068 + 2/27839. What is the common denominator of -26/9 and n?
252
Let v be 3*(2 - 9175/4585). Let a = v - -88985/11004. Find the common denominator of a and 27/20.
60
Let w be (-3 - 3) + (0 - 1). Let v = w - -9. Let l(n) = n**3 + 39*n**2 - 2*n - 76. What is the smallest common multiple of v and l(-39)?
2
Suppose 6 = w + 4. Suppose -58 = -3*i - 4*n + w*n, 5*i - 84 = 3*n. What is the smallest common multiple of 12 and i?
36
Suppose 2*b = -4*f - 830, 3*f + 0*b + 616 = 5*b. Calculate the common denominator of (f/27)/(6/(-4)) and -89/10.
90
Suppose -2*d = -4*o + 22, -8 + 31 = 2*o - 5*d. Let m(q) = o - q**2 - 6 + 2*q**2 + 3*q + 1. What is the common denominator of m(4) and -13?
1
Suppose -4*m + m + 72 = 0. Let i = m + -20. Calculate the lowest common multiple of i and 12.
12
Let o = -816 - -879. What is the least common multiple of 49 and o?
441
Let q = 2 + 2. What is the common denominator of 71/12 and 204/18*q/(-22)?
132
Let n = 490 + -30. Suppose 3*t