e common denominator of z and 61/106.
530
Let h(f) = -3*f**3 + 60*f**2 - 53*f - 68. Suppose 2*q = -6, 2*j - 4*j + 5*q + 95 = 0. Calculate the least common multiple of h(19) and j.
40
Suppose 0*m + 6 = 3*m. Suppose -m*t - l + 2 = 0, t = 4*t - 3*l - 21. What is the smallest common multiple of ((-2)/t)/(8/(-12)) and 19?
19
Suppose 2*x + 4 + 218 = 0. Let s = x + 340/3. Find the common denominator of 3/5 and s.
15
Let a(s) = -8*s - 2. Let y be a(16). What is the common denominator of -23/6 and (-1632)/y - (-4)/(-26)?
30
Let h = -11 - -16. Suppose -h*f - 73 + 3 = 0. What is the smallest common multiple of 10 and (-6)/4*(f + 10)?
30
Suppose -5*s + 3*u - 48 = 0, -2*u + 22 - 2 = -2*s. Suppose 0 = -3*q + 40 - 10. What is the lowest common multiple of q and -2*(s/(-6) - 3)?
30
Suppose -3*s + 95 - 5 = 0. Let l = s - 18. What is the lowest common multiple of l and 16?
48
Let b be (-12 - -10)/(1/4). Calculate the least common multiple of 20 and (-3)/(-1) + 6*(-12)/b.
60
What is the common denominator of 1268/(-5320) + (-16)/(-40) and 12/95?
1330
Suppose -5*h = -15, -75 = -3*w + 35*h - 30*h. Calculate the lowest common multiple of w and 4.
60
Let f(o) = o + 30. Let p be f(-20). Calculate the smallest common multiple of (p/(-6))/(-3 + (-16)/(-6)) and 8.
40
Let h = -2218400 - -35507597/16. Suppose 0 = a - 0*a + 827. Let s = a + h. Calculate the common denominator of s and -23/18.
144
Let k = 192 - 294. What is the common denominator of 171/21 - 12/28 and -1*(-1 - k/16)?
56
Let w be (2/(-5))/(1/20). What is the common denominator of ((-30)/(-56))/(60/70) - 0 and 1 - (-1)/w*2?
8
Calculate the lowest common multiple of (-4)/6*9 + (57 - 6) and 9.
45
Let t = -2499 + -691. Let a = t + 12663/4. Calculate the common denominator of a and -23/6.
12
What is the smallest common multiple of 1950/100 - (-1)/2 and 36?
180
What is the common denominator of (525/34750)/(12/5) and 61/22?
12232
Let n = -6098 + 1097599/180. What is the common denominator of 139/90 and n?
180
Let t(p) = -2*p**2 - 38*p + 16. What is the least common multiple of t(-19) and 410?
3280
Let k(j) = -5*j + 1. Let b(v) = v. Let p(n) = 2*b(n) + k(n). Let r be p(-9). Calculate the common denominator of (-4)/18*434/r and 35/11.
99
Suppose 5*r - 4311 = -141. Let u = r - 4979/6. What is the common denominator of 14/(-231)*3/2 and u?
66
Suppose -4*j + 19 = 91. Let v = 25 + j. Let b(t) = -t**3 - 6*t**2 - 3*t - 8. Calculate the least common multiple of v and b(-6).
70
Suppose -2 = 4*z + 18. Calculate the lowest common multiple of 14 and ((-300)/5)/z - (2 - 1).
154
Let t = 2677/7 - 29223/77. What is the common denominator of t and (46/(-22))/(1*-3)?
33
Let o = 14 - 2. Let z be (-3)/o + (-70035)/(-36). Let t = 1941 - z. What is the common denominator of -59/10 and t?
30
Let g(b) = -b**2 - 7*b + 4. Let c(o) = 6*o - 9. Let h be c(2). Let v = 19 - h. What is the smallest common multiple of g(-6) and v?
80
Suppose j - 2*s + 72 = 0, -239 - 25 = 4*j - 2*s. Suppose -3*y + 63 = 6*y. Calculate the smallest common multiple of -2 + y/((-28)/j) and 2.
14
Let s = -79/34 + -678/85. Calculate the common denominator of s and -5*3/((-15)/(-28)).
10
Let d(f) = 2*f + 5. Let p be d(-1). Suppose -4*b + 20 + 14 = p*l, -3*l + 2*b = -10. What is the smallest common multiple of l and 27?
54
Suppose -1037 + 71 = 2*j + 4*c, -c - 2451 = 5*j. What is the common denominator of -1/10 and (-6)/10 - (-5 + j/(-40))?
40
Suppose -2*l = -8*l + 48. Let c be 18850/l - (-2 - -4). Let t = -2331 + c. Calculate the common denominator of 29/12 and t.
12
Suppose -21*i - 10 = -19*i, 3*i = 3*g - 24. Calculate the lowest common multiple of g and 72.
72
Let a(y) = -2*y - 1. Let h be a(5). Let n(i) = i**2 + 12*i + 13. Let t be n(h). Find the common denominator of 143/12 and (580/(-24) + 3)/t.
12
Let z = 2983 - 402647/135. Find the common denominator of z and 2/25.
675
Let j(g) = -2*g**3 + 9*g**2 - 11*g + 5. Let b be j(5). Let q be b/((-3)/(-2) + -3). Calculate the common denominator of -65/12 and 4 + -1 - q/(-16).
24
Let p = -18670849/10053 + -1716/1117. Let o = -1857 - p. What is the common denominator of o and -26/21?
63
Let r = 14301/8 - 1792. Let d(q) = -q**2 + q - 6. Let x be d(6). What is the common denominator of r and 3/2*x/(-5)?
40
Let v = -2/141 - 814/47. Find the common denominator of -75/88 and v.
264
Suppose 0 = -4*s - 5 + 17. Suppose -5*k - 3*q = -k + 7, 13 = -4*k - q. Calculate the smallest common multiple of (14/k)/7*-2 and s.
3
Let o = 44 - 22. Let u(n) = -2*n**2 - 6*n + 31. Let r be u(-12). Let q = r + 187. Calculate the lowest common multiple of o and q.
22
Let s = -1691 + 67573/40. Calculate the common denominator of s and (-5)/105 - 3562/2184.
280
Let z = -271436 - -48858359/180. Find the common denominator of z and -5/162.
1620
Suppose 1 = -p + 2*p + 2*b, 2 = -p - b. Let f(r) = 9*r + 342. What is the least common multiple of p/(-20) - (-6)/8 and f(-37)?
9
Let j(d) = -d**2 + 24*d - 35. Calculate the least common multiple of j(21) and 0*4/(-8) + 5.
140
Let o be (-5 - -1)*(-1 - 0). Let r = 1 + o. Suppose -5 = -5*n + r. What is the smallest common multiple of 9 and n?
18
Let t = -7 - -19. What is the lowest common multiple of t and 0 + (-314)/(-12) - (-2)/(-12)?
156
Suppose -42*a + 327 = 5*w - 45*a, 79 = w - 4*a. What is the least common multiple of w and 54?
378
Let v = 13520/13323 - -244402073/11377842. Let o = -2536805/427 + 5941. Let t = v + o. Calculate the common denominator of t and -73/6.
6
Let l = 85/2 + -763/20. What is the common denominator of l and -55/148?
740
Let h(f) = -307*f - 4. Let d be h(-3). What is the common denominator of (3/(-36))/(7/d) and 89/12?
12
What is the lowest common multiple of 5940/88 - (-6)/(-4) and 12?
132
Suppose 5*n - i + 5*i = 195, 2*n - 2*i = 78. Calculate the smallest common multiple of n and 33.
429
Let t(a) = -a**3 + 6*a**2 + 2*a - 5. Let q be t(7). Let k = 57 + q. What is the common denominator of 58/3 and ((-2)/6)/((-1)/k)?
3
Let h = 2067289/10 + -207103. Let r = -379 - h. Calculate the common denominator of r and 3/(-12) + 103/8.
40
Let v = 2453209/80 - 30664. Calculate the common denominator of v and -23/9.
720
Suppose -i + 2 = -2*d, -2*d + 3 - 1 = 0. Let g = i - -14. Let m(j) = j**3 - 7*j**2 - 45*j + 13. Calculate the smallest common multiple of g and m(11).
18
Suppose 4*j - 4 = 20. Calculate the lowest common multiple of 24 and (-8)/j*42/(-28).
24
What is the smallest common multiple of 52 and 7 + -4 - (1 - 3)?
260
Let r(h) = h**3 + 7*h**2 - 2*h - 10. Let p be r(-7). Suppose d = 2*u + 12, 9 = 4*d + u + p*u. Find the common denominator of (-1)/d + 53/30 and -13/9.
45
Let u = 89701/46596 + -41/1059. Calculate the common denominator of u and (6/(-8))/(5/(145/8)).
352
Suppose -27 = -r - 0*r. Let h = -23 + r. Suppose v + 0*v - 3 = 5*g, -h*g = -2*v + 24. Calculate the least common multiple of 2 and v.
18
Let d(i) = -i + 3. Let j be d(-4). Suppose 0 = -9*s + 11*s + 84. Find the common denominator of 55/6 and j/s*147/10.
60
Find the common denominator of 38/(-12)*(-8)/(-80)*15 and (-8)/24 + 290/288.
144
Let y = 75 - 71. Suppose y*a = 13 + 11. Calculate the smallest common multiple of 33 and a.
66
Let p(f) = 6*f**2 - 4*f - 22. What is the lowest common multiple of p(7) and 48?
2928
Let d = -4348167/98 + 44368. Let s = -10572264 + 4662365335/441. Let a = d + s. Calculate the common denominator of a and -41/10.
90
Let q = -1229 + 1235. What is the lowest common multiple of 554 and q?
1662
Let o = 697/6 + -1571/12. Let y(w) = w + 6. Let q be y(-11). Find the common denominator of o and q - -9 - 23/8.
8
Calculate the smallest common multiple of (28/4)/((-4)/(-4)) and 31.
217
Let l = 3 - 2. Let r be (l/2)/(4/8). Find the common denominator of 27/10 and (3/4)/(r/(-30)).
10
Calculate the common denominator of -1 + -1 + (-1855)/1050 and 61/120.
120
Let d(b) = -55*b + 4406. Suppose 2*o = 4*m - 18, -4*o - m + 0*m + 9 = 0. Calculate the smallest common multiple of d(80) and o.
6
Suppose -2*i = x - 5*x + 74, 4*x - 4 = 0. Find the common denominator of -113/20 and 110/12*i/(-50).
60
Let f be (-1)/(1/1 + 0). Let t = -51/358 + 17669/2148. Find the common denominator of (118/4 - -1) + f and t.
12
Suppose 0 = -2*j - 11 - 53. Let m be (-1 + (-12)/(-9))*(12 + -15). Find the common denominator of -17/10 and -4 - (m + 404