 k = -4820/43 - -112. Let a = -465/86 + k. Let c = -9 + 51. Find the common denominator of a and c.
2
Let t = -34 + 45. Let p = t + -9. Calculate the common denominator of -97/58 and (-1460)/400 - p/(-5).
116
Suppose l = -l + 176. Calculate the common denominator of (-2)/(-8) + (-158)/l and (17/4 - 4)*(-428)/10.
110
Let w = -235 + 239. Calculate the least common multiple of 180 and w.
180
Suppose 2*a - 6 = -h, 2*a - 8 = -2*h + 4. Suppose -4*d + 6*d = h. Suppose 0 = 6*c + 90 - 108. Calculate the lowest common multiple of c and d.
3
Let d = 8 - 4. Let s = 4058 - 4054. What is the least common multiple of s and d?
4
Let k = 5/4043 + -311431/97032. Calculate the common denominator of k and 63/80.
240
Let j = -28651/18 - -14272/9. What is the common denominator of j and (-142)/(-48) + (-1)/3?
72
Suppose 7*d + 20 = 8*d. Suppose 2*n + 0*n = d. Calculate the least common multiple of n and 2.
10
Suppose 7*c - 12*c - 60 = 0. Calculate the common denominator of 85/16 and (177/8)/(27/c).
48
Find the common denominator of 13/(-33) - 5/5 and 4 + (-75)/20 - 143/(-24).
264
Let f be (-1218)/(-35)*(-1)/(-7). Let j = 3321/140 - f. Find the common denominator of -52/11 and j.
44
Let a = 223385789/140 + -1595621. Let n = 34/35 + a. What is the common denominator of 2 + ((-50)/11 - 0) and n?
44
What is the common denominator of 1/88*8*(-73)/(-6) and -29/6?
66
Let n = -2 + -23. Find the common denominator of 5/n + 484/(-30) and 8/5.
15
Suppose z = -5*d + 35, 2*d + 0*d = -3*z + 131. Suppose z = 2*g + 3*g. Let w = 2128 + -2124. Calculate the least common multiple of w and g.
36
Let y be -3 + (54/56)/(8/30). Let w = y + 11/56. Find the common denominator of -13/36 and w.
144
Let k = 6867/5 + -1364. Find the common denominator of k and (-584)/90 - 2/5.
45
Let n be (-5)/10*(-337 - -1). Find the common denominator of 268/n + (-1)/(-3) and -71/10.
70
Let d = 592 + -4112/7. Let k = -301 + 2090/7. Find the common denominator of k and d.
7
Let p(b) = b**3 + 5*b**2 - 6*b + 2. Suppose 14 = 2*l + 4. Suppose 4*m - 62 = -2*i, 3*m - 13 = l*i - 142. What is the smallest common multiple of p(-6) and i?
54
Let f(r) = r**3 + 13*r**2 + 2*r + 26. Let s be f(-13). Suppose q - 115 = -2*z, s = 3*z - 2*q - 240 + 50. What is the least common multiple of z and 16?
240
Let x = 212 - 158. What is the least common multiple of 36 and x?
108
Let m be 8/((-3)/(9/2)). Suppose 3*s - 62 = -2*p, -4*s + 5*p = -5*s + 12. What is the smallest common multiple of s and 2/7 + m/(-7)?
22
Let u(s) = s**3 - 15*s**2 - 14*s - 19. Let w be u(15). Let q = w + 477. Find the common denominator of 53/5 and -3 + -1 - q/(-36).
45
Let q = -6471 - -9246. Find the common denominator of 2/5 - 443/(-330) and (6/15)/(2 + (-5410)/q).
462
Suppose 0*u + 2*n = 2*u - 18, -3*n = u + 7. Suppose -u*a - 70 = -350. What is the smallest common multiple of a and 20?
280
Let b = -110 + 150. What is the smallest common multiple of 44 and b?
440
Let u = 8 - 6. Suppose -2*p = -0*g - 3*g + 2, -3*g - u = -4*p. Calculate the common denominator of (p - 6)*(-295)/(-180) and 49/8.
72
Let f = 358 - 1057/3. Find the common denominator of f and -52/17.
51
Let d be (1 - (-8)/(-6))*-9. Let r(j) = j + 5. Suppose -5*u = -4*i + 35, -i + 12 = -2*u + 4*u. What is the least common multiple of r(d) and i?
40
Let r be 15/(-2)*(-56)/(-42). What is the least common multiple of (r/(-4))/((-10)/(-8)) and (-2 - -1)*-3 - 2?
2
Suppose -2*q - 62 + 158 = 5*o, -2*o + 3*q + 46 = 0. Let f(s) = -s**3 - 5*s**2 - s + 3. What is the smallest common multiple of f(-5) and o?
40
Let p be 11842/(-30) + (-4)/(-10). Let v = 4649/12 + p. What is the common denominator of v and 50/33?
132
Suppose 5*u - 75 = -5*k, -3*k - 4*u - 17 = -6*k. Calculate the lowest common multiple of 27 and k.
297
Let i = -317669/20 - -15888. Find the common denominator of ((-5)/(-18))/(14/(-75)) and i.
420
Let j = 1556 - 3027/2. Let b = j - 343/6. What is the common denominator of -54/5 and b?
15
Let l be (6 + 2)/((-2)/4 + 1). Suppose -2*g + 3*g + 3*a - l = 0, g = 4*a + 44. Calculate the smallest common multiple of g and 12.
84
Let x be -1 - (0/4 + 1). What is the common denominator of 11/8 and (1 - 0) + x + (-352)/(-275)?
200
Let x(m) = -8*m**2 + 5*m + m + 9*m**2 + 3. Let b = 35 + -21. Calculate the smallest common multiple of b and x(-6).
42
Let a be (-16 - -15)*(-22)/(-2). What is the common denominator of (110/45)/a*47/4 and (4/22)/((-4)/(-89))?
198
Let i = -22792 + 1025594/45. Find the common denominator of -127/30 and i.
90
Let y(z) = 5*z**2 + z - 6. Let p be y(2). Suppose -132 = -2*r - p. Calculate the lowest common multiple of 4 and r.
116
Let t = -7 - -13. Let q(u) = u - 6. Let f be q(8). Suppose -47 = -5*i - f*d, -4*i + d = 2*d - 40. What is the lowest common multiple of t and i?
66
Suppose -6*i + 28 = -5*i - 4*w, -44 = -2*i + 5*w. What is the lowest common multiple of (25 + 0)*1*2 and i?
300
Let o(h) = -h + 7. Let g be o(10). What is the common denominator of -61/12 and (-2)/g*(-2)/((-54)/(-57))?
108
Suppose -4 + 4 = 6*x. What is the lowest common multiple of 11 and x/(-2) + -1 + 5?
44
Let d be (74/4)/(16/32). Let a = -5 + d. Let c = 14 - 0. Calculate the smallest common multiple of a and c.
224
Suppose 4*z - 22 + 2 = 0. Suppose -43 = -3*w + h - 6*h, -52 = -4*w - 4*h. What is the lowest common multiple of w and z?
55
Let m(g) = -g**2 - 12*g + 5. Let h be m(-11). What is the lowest common multiple of 4 and h - (8 - (3 + 1))?
12
Calculate the lowest common multiple of (-61)/(-6 + 16/20 + 5) and 7.
2135
Suppose -4*p = -3*r + 4, -5*p + 4*r - 2*r = -2. Suppose p*g + g = 3. Calculate the common denominator of (g/22*-43)/1 and 23/22.
22
Suppose 75 = -5*q + 25. Let x(h) = -h**2 - 10*h + 9. Calculate the lowest common multiple of 24 and x(q).
72
Let q(n) = 34*n + 1263. What is the lowest common multiple of 19 and q(-37)?
95
Suppose 5*c - 51 - 49 = 0. Suppose -2*p - c = -p. Let y = 2 - p. What is the least common multiple of 22 and y?
22
Suppose 0*y + 90 = 5*y. Calculate the smallest common multiple of y and (11 + -2)/((-47)/(-94)).
18
Let g(w) = w**2 + 17*w - 13. Let t be g(-18). Suppose -t*b - 4*u = -43, -4*u + 3*u = -5*b + 58. Calculate the lowest common multiple of 9 and b.
99
Let z(l) = l**2 + 6*l + 10. Let m be z(-6). Calculate the common denominator of (-2)/(-4)*17/(-4) and 52/m*(-60)/66.
88
Let v = -1828 + 12819/7. Let m be ((-78153)/52110 - -2) + 3/(-6). Let h = m - 495053/34740. Calculate the common denominator of v and h.
28
Let t(r) = r**2 + 17*r - 8. Let n be t(-12). Let j = 130 + n. Calculate the common denominator of -34/9 and (11/(-33))/(4/j).
18
Let t = -24 + 28. Suppose t*p - p = 24. Calculate the lowest common multiple of 12 and p.
24
Suppose 0 = -13*t + 163 + 32. Calculate the lowest common multiple of 35 and t.
105
Let b = 1891 + -33967/18. Let h = -246199/112740 - -5/11274. Calculate the common denominator of h and b.
180
Suppose 6*y - 2*y = 24. Let p(g) = -2*g**3 - 11*g**2 - 9*g - 18. Calculate the lowest common multiple of y and p(-5).
6
Suppose 126 + 270 = -11*j. Find the common denominator of (-21)/(-2)*(-7)/j and -7/24.
24
Let c(i) = -i - 1. Let h be c(7). Let t be ((-4)/h)/(2/232). Let k = -40 + t. What is the least common multiple of 4 and k?
36
What is the common denominator of 52/9 and ((-203)/7)/((-2)/((-8)/(-84)))?
63
Suppose 0 = -5*c - f + 741, 3*f + 551 = 5*c - 186. Let v = 32 + -20. Calculate the smallest common multiple of c and v.
444
Let s(h) = h**2 + h + 1. Let v(o) = -5*o**2 + 6*o + 9. Let l(k) = -6*s(k) - v(k). Calculate the smallest common multiple of ((-27)/4)/(3/(-8)) and l(-9).
36
Suppose -5*k + i = -12 - 6, 3*k + 3*i - 18 = 0. Calculate the common denominator of -40/23 and (6/k - 1) + (-55)/(-8).
184
What is the lowest common multiple of (-16)/120*54*(-80)/6 and 27?
864
Suppose 683*g - 695*g = -144. Calculate the lowest common multiple of g and 248.
744
Calculate the common denominator of -43/33 and (-115)/240 + (-12)/(-6).
528
Let n be (30/18)/(2/6). Suppose n*p = p. Calculate the lowest common multiple of 2 and 9 + (-9)/(3 + p).
6
Let z = -1586 + 1595. What is the lowest common multiple of z and 3?
9
Let g be -226*5/(-2288) + (-1)/2. Let j = 3/104 + g. Find the common denominator of 103/36 and j.
396
Suppose -6703 - 1417 = -40*l. Calculate the lowest com