Suppose -2*q + y = -457, -4*q + 5*y = -9*q + 1180. Calculate the lowest common multiple of q and 9.
693
What is the common denominator of 49/306 and (11 + (-231)/22)*(-178)/(-4)?
612
Suppose -c + 5*f - 34 = 0, -4*c - f = -3*f + 46. What is the lowest common multiple of 2 and (-1)/(-3*3/c)*-7?
14
Let z(w) = w**3 - 18*w**2 + 18*w - 18. Let l be (51/6)/((-6)/(-12)). Let f be z(l). What is the common denominator of -1*f/9*-37 and 54/11?
99
Let o(h) = h**3 - h + 1. Suppose 0 = -3*w + 6. Let i be o(w). Find the common denominator of ((-11)/2)/(i/(-49)) and 143/90.
90
Suppose 13*j = 10*j - 120. Calculate the common denominator of 91/12 and (-57)/15*j/96.
12
Let d = 1 - -1. Let a(j) = 4*j - 28. What is the lowest common multiple of d and a(11)?
16
Let k(q) be the first derivative of q**3/3 + 5*q**2 - 7*q + 17. Let g(p) = -6*p + 1. Let t be g(2). What is the smallest common multiple of 8 and k(t)?
8
Let w = -3844 + 549689/143. Let p = -504/143 + w. What is the common denominator of p and 47/2?
22
Let g(o) = -o**3 + 6*o**2 + 13*o + 1. What is the lowest common multiple of -1 + 3 - (-4)/2 and g(-2)?
28
Let p(s) = 5*s**2 - 70*s + 6. Let v(j) = j**3 - 6*j**2 + j + 10. Calculate the lowest common multiple of v(6) and p(14).
48
Suppose 15*s - 315 = 20*s. Let q = -23 - s. Calculate the lowest common multiple of 12 and q.
120
Let o be -4 + (2 - (-8760)/(-1107)). Let m = o + 124/41. Find the common denominator of m and (1/4)/(2/(-236)).
18
Let b = 2756 - 2748. Let i(u) = u**2 + 5. Calculate the lowest common multiple of b and i(0).
40
Suppose p - 10 = 2*n, -3*p - 52 = 5*n - 5. Let a(d) = d**3 + 6*d**2 - 12*d - 15. What is the smallest common multiple of a(n) and 16?
80
Suppose -3*j - 97 = -4*d, -2*d + 4*d = -5*j + 29. Suppose -d + 77 = 5*b. Calculate the least common multiple of b and 27.
297
Let u(f) be the second derivative of -f**4/6 + 5*f**3/6 + 2*f**2 + 4*f. Let q be u(4). Let d = q + 15. Calculate the smallest common multiple of 9 and d.
63
Let f = -15759/10 - -1573. Let z = 310394/9 - 6989057/198. Let y = z + 811. Find the common denominator of f and y.
110
Suppose -2*g - 5*l = -1130, -5*g = -5*l - 2279 - 476. Let o(w) = -34*w - 13. Let u be o(5). What is the common denominator of (-1)/(-3 - g/u) and 8/9?
18
Let j be (-2 + 14)/(18/12). Suppose -5*z = j - 3, 2*z - 14 = -2*n. Calculate the lowest common multiple of 140 and n.
280
Let w be (-4)/6 + 14/3. Suppose -w*f + 5*f = 3. What is the common denominator of 91/10 and 0 - ((-278)/36 + f)?
90
Let v(y) = y**2 + 3*y + 2. Suppose 6*s - 1 = x + 2*s, 4*s = -5*x - 29. Calculate the least common multiple of v(-4) and 15/(-6)*2/x.
6
Let o = -109 + 385. Calculate the smallest common multiple of o and 14.
1932
Suppose -2*j = -6*j + 20. Calculate the lowest common multiple of j and 60.
60
Suppose 4*j + 3*b - 195 = 0, 9*j - 165 = 6*j + 4*b. What is the smallest common multiple of 187 and j?
561
Calculate the common denominator of (-336)/(-18) + 8 + -6 and ((-910)/45)/(4/3).
6
Calculate the common denominator of ((-6)/(-4))/(54/(-70)) and 12012/1512 - (2/3)/(-2).
18
Let a = -47/79 - -7057/1106. What is the common denominator of a and -51/244?
1708
Let n = -1867 - -1903. What is the least common multiple of 36 and n?
36
Let m be 50426019793/396 - 2/8. Let s = -127338696 + m. Let r = s - -2332/9. Find the common denominator of -71/20 and r.
220
Suppose -38*o = -33*o + 60. Calculate the common denominator of (o - -8)/((-2)/(-7)) and 2/15.
15
Let d = 18363 + -41004582/2233. Let x = d + -279053/53592. Calculate the common denominator of x and -167/42.
168
Let a = -23 - 15. Let b = 54 + a. Calculate the least common multiple of 24 and b.
48
Suppose 35 = 2*c + 3*l, -c = -3*l - 2*l + 15. What is the smallest common multiple of 58 and c?
290
Let z be 2/(2 + 2)*0. Let y be -2 + 2 + z - -2. Suppose -18 + 2 = -y*p. Calculate the lowest common multiple of 20 and p.
40
Let k(t) = -t**3 + 3*t**2 - t - 2. Let l be k(0). Calculate the common denominator of ((-4)/(-6))/(10/(-12)) and (l/(-48))/((-2)/(-604)).
60
Let y = 243/4 - 311/5. What is the common denominator of (-2 + (7 - 7))/(4/(-35)) and y?
20
Calculate the common denominator of (1/(-24))/(1/(-46)) and (-7 + 5)*(-50)/(-84).
84
Suppose 4*w = -2*f + 29 + 13, 2*w - f = 15. Suppose -p + 4*p = w. Suppose 0 = -3*m - 3*r + 27, -8 - 7 = -p*r. What is the least common multiple of 4 and m?
4
Let m = 15115215970753/113 + -133765362114. Let o = m + 2388939. Let n = o + -1/226. Find the common denominator of -89/10 and n.
10
Let n(t) = -t + 41. Let c(h) = h**3 + 23*h**2 - 26*h - 18. What is the lowest common multiple of n(-7) and c(-24)?
240
Let n be 10/(-15) + (-122)/6. Let w = n - -29. Suppose q = 28 + w. Calculate the smallest common multiple of q and 5.
180
Suppose 19*j - 1344 = -13*j. Calculate the smallest common multiple of 6 and j.
42
Let d = 1254/41 + -7/82. Calculate the common denominator of d and -29/5.
10
Find the common denominator of -47/10 and (10/(-456))/(1 - (-632)/(-392)).
6840
Let f be 62*(-3)/(-48) - 9/6. Let s = 1/8 + f. Find the common denominator of 127/12 and s.
12
Let n = 10 - 4. Let c = -3501 - -3519. Calculate the least common multiple of n and c.
18
Let y = 8 + -14. Let d(l) = -24*l**2 - 3*l + 6. Let t be d(y). Let k = -5918/7 - t. What is the common denominator of -29/9 and k?
63
Let y(r) = r**2 + 5*r - 5. Let v = -282 - -283. Calculate the least common multiple of y(-6) and v.
1
Let u be 13/104 - (-7)/8. Let y(n) = -2*n**2 - 2*n + 1. Let o be y(u). What is the common denominator of -89/20 and 6/(-32)*7/o?
80
Suppose w = -5*h + 3, 0*h + 2*h = w - 3. Suppose h*b = -2*b + 172. Suppose -10 = -8*a + b. Calculate the smallest common multiple of a and 4.
12
Let x = 163493/48 + -3407. Find the common denominator of 139/48 and x.
48
Let q be 66/(-10) + (-2)/5. Let m = 12 + q. Suppose 2*l = -5*v + 5*l + 36, -3*v + 3*l + 24 = 0. Calculate the smallest common multiple of m and v.
30
Suppose 3*v - 66 = 2*i, -2*v = -i - i - 46. Suppose 5*r - 18 = 2*r. Calculate the smallest common multiple of r and v.
60
Let n = -70089/47618 + -108/821. What is the common denominator of n and 13/20?
580
Let q = -181 + 314. What is the least common multiple of 57/q - (-39)/7 and 8?
24
Let h(c) be the second derivative of c**4/6 - 2*c**3/3 + c. Let o be h(5). Calculate the least common multiple of (-3)/4*(-80)/o and 10.
10
Let k = 9159 - 476241/52. Find the common denominator of k and -7 + 164/8 - 4.
52
Find the common denominator of -61/156 and 10758/(-3276) + 6 - 6/7.
156
Calculate the common denominator of 7049/(-2964) - (-2)/3 and -85/12.
156
Suppose -35174 = 10*u + 55146. Let w = -289057/32 - u. What is the common denominator of w and -121/20?
160
Let x be ((-5)/(-85))/((-14)/(-446)). Let m = x + -146/17. Find the common denominator of (-6)/21 - (-137)/(-35) and m.
35
Let y(z) = z**3 + 16*z**2 + 15*z + 22. Let m(r) = -2*r + 9. Let p be m(12). Suppose 5 + 1 = 3*n. What is the least common multiple of y(p) and n?
22
Let q be (-2)/8 - (1844/(-16) - 5). What is the common denominator of (-2)/(-10) - (1974/q - 4) and 17/31?
124
Let y(n) = n**2 - n - 4. Let t be y(-2). Suppose -4*p - 222 = t*p. Let s = p - -61. Calculate the common denominator of 145/12 and s.
12
Suppose 14 - 104 = -2*a. Suppose 5*w - a = -h, 2*w - 30 = -3*w - 4*h. Calculate the smallest common multiple of w and (-2)/(-7) - (-372)/21.
90
Suppose 0 = 6*b + 20 + 16. Find the common denominator of -3/5 and 23*5*1/b.
30
Calculate the common denominator of -21/16 and (-10398)/28116 - 2/(-6).
12496
Calculate the lowest common multiple of 60/7*(-28)/(-6) and 116.
1160
Let h = -106 - -70. Calculate the common denominator of ((-302)/(-36))/(1/(-3)) and (110/77)/(h/(-161)).
18
Let r = 395 + -1951/5. Let c(z) = -6*z**2 - 49*z - 40. Calculate the common denominator of r and c(-7).
5
Let n be 21/(-35) + 36/10. Suppose 0 = -i + 3, -n*c - i - 67 = -8*c. Let o = c + -11. Calculate the lowest common multiple of o and 9.
9
Let z = 73 - -15. Calculate the lowest common multiple of z and 32.
352
Let x be 32/(-56) - 130/(-7). Let q = 32 - x. Let c = 18 - q. What is the least common multiple of c and 16?
16
Let z = -10259/12 + 857. Suppose -5*d = b + 12185, 4*b - d = -0*d - 48719. Let s = b + 267877/22. What is the common denominator of z and 