r of 43/12 and -4 + 30/(-28) - -3.
84
Let h = -2 - -6. Suppose -10 = -2*n + 2*v, -4*v + 8*v = 0. Calculate the smallest common multiple of n and h.
20
Suppose 0 = -14*j + 1 + 13. Calculate the least common multiple of 20 and j.
20
Let j be 2/5 - (-28231)/(-2440). Let m be 147/18*(-9)/(-61). Let b = m - j. Calculate the common denominator of 25/8 and b.
8
Suppose -2*v + 7*n = 3*n - 102, 5*n = -v + 37. Let o = v - 36. What is the smallest common multiple of o and 3?
33
Suppose -x - 2 + 3 = 0, 3*x + 1953 = g. What is the common denominator of -11/3 and g/(-20)*2/(-36)?
30
Let g = -36 - -51. Let j = g - 9. Calculate the common denominator of (-9)/j*(-3)/(-4) and 6/13.
104
Let g be 2/(-15) + (-66472)/(-22890). Let k = g - 15473/2398. What is the common denominator of k and 87/14?
154
Let c(l) = -l**3 - 17*l**2 - 17*l - 2. Suppose 7 = -3*p - 41. Suppose 0 = -3*h + 5*h - 40. What is the smallest common multiple of c(p) and h?
140
Suppose 4*z - 2*s + 28 = 2*s, 2*z + 8 = 4*s. Let m = -18 + 26. What is the lowest common multiple of (-30)/(-7) + z/35 and m?
8
Let c(j) = -j**2 - 12*j + 3. Let p be c(-11). What is the common denominator of 23 and 1390/210 - 4/p?
3
Let f(i) = 60*i - 404. Calculate the least common multiple of 934 and f(7).
7472
Let j = 25 - 17. Let s(g) = -6*g**2 - 56*g + 1006. Calculate the lowest common multiple of s(9) and j.
16
Let c = -828 + 831. What is the lowest common multiple of 249 and c?
249
Calculate the least common multiple of 16 and (7 - (-65)/(-15))*(-27)/(-3).
48
Let k = 948 + -10435/11. Let f = k + 269/77. Calculate the common denominator of f and 65/3.
21
Suppose 0 = -18*q - 8*q + 208. What is the least common multiple of q and 14?
56
Let t = 25015/2238 + -4/373. What is the common denominator of (3 + 44/(-7))/(-3) and t?
42
Let i = -180 + 189. What is the smallest common multiple of 6 and i?
18
Let x = -10 - -15. Let a = -44 + 52. Calculate the least common multiple of x and a.
40
Let b(s) = 6*s + 13. Let l(q) = 7*q + 13. Let p(g) = -3*b(g) + 2*l(g). Let a = 7 - -10. Calculate the common denominator of a and p(-9).
1
Let c be (73 - 73)/(1 - (-2 + 1)). Suppose c = 2*i - 4*a - 12, 4*a - 7*a = i - 1. Calculate the smallest common multiple of i and 10.
20
Suppose 1 = -7*s - 83. Let l = s + 17. What is the lowest common multiple of l and 5?
5
Calculate the common denominator of -49/746 and 8 - 9 - (-38)/44.
8206
Suppose -2*o - 3 + 5 = 0. Let u be (1*40107/(-48))/o. Let y = u - -833. Calculate the common denominator of y and -69/16.
16
Let k be 0 + (-82204)/48 + -1. Let r = k + 1708. Let n = 966 + -19309/20. What is the common denominator of n and r?
60
Let n(b) = -4*b + 28. What is the lowest common multiple of n(4) and 42?
84
Find the common denominator of -12 and 5 - ((-162)/405)/(1/11).
5
Calculate the least common multiple of (-4)/(-20) + (-273)/(-35) and 4.
8
Calculate the common denominator of 111/22 and (111/(-2812))/((-10)/(-164)).
2090
Suppose -2*s - 5 = -2*y - 15, 4*s - y = 11. Suppose -s*a + 60 = 2*a. What is the common denominator of -32/5 and 402/(-32)*(-10)/a?
40
Let p(x) = -x**2 + 10*x - 24. Let i be p(6). Suppose 9 = -i*d + d. What is the least common multiple of 3 and d?
9
Let b be 5/(355/(-291))*1. Let r = -14499/568 + b. Let n = r + 211/24. Calculate the common denominator of n and -83/22.
66
Let f = 1026 + -1011. What is the smallest common multiple of 6 and f?
30
Let f(s) = -2*s + 29. Let y be f(13). Calculate the common denominator of (-9)/y*(7/90)/(-1) and -65/36.
180
Suppose 0 = -4*k + 4, -5*k = -o - 6 - 0. What is the lowest common multiple of (o/(-1))/(3/15) and 1?
5
Let i = 34 + -27. Calculate the common denominator of i/(21/(-9)) - 40 and -71/2.
2
Suppose -49*u + 95*u + 15 = 51*u. Let z = 10 + -6. What is the lowest common multiple of u and z?
12
What is the smallest common multiple of 12 and ((-498)/581)/(2/(-1960))?
840
What is the common denominator of -4 - -8 - (-156)/(-28) and -30/121?
847
Calculate the common denominator of ((-1221)/(-243) - 5)/(2/52) and -29/30.
810
Suppose -y = 2*p - 4923, 6*p + 4*y - 4914 = 4*p. Let t = p + -39387/16. What is the common denominator of -40/9 and t?
144
Let j = 76 + -77. What is the lowest common multiple of 8 and (j - -2)/((-84)/(-40) - 2)?
40
Let u(h) = h**2 + 20*h - 71. Calculate the least common multiple of u(-25) and 60.
540
Let g(u) = 3*u**2 - 7*u + 16. Let n be g(3). Calculate the common denominator of (-462)/(-16)*2/3 and ((-9)/(-21))/(n/189).
44
Let z(s) = -s**2 - 4*s + 7. What is the lowest common multiple of (-1243)/(-77) + (-1)/7 and z(-3)?
80
Let w = 18 + -10. What is the common denominator of (63/16)/(30/w) and (-4)/240*146*-3?
20
Let f = 23 + -24. What is the common denominator of 258/48 + f + 4 and 26/3?
24
Suppose -487 = 5*b - 1702. Let q = b - 2182/9. What is the common denominator of (112/(-6))/((-10)/6) and q?
45
Suppose -38*x = -37*x - 1. What is the least common multiple of 27 and x?
27
Let a = 87008 - 5220307/60. Find the common denominator of 44/15 and a.
60
Let x = -1/1463 + 42435/11704. Let f = -4522149/92 - -49153. Calculate the common denominator of f and x.
184
Let t = -22 - -26. Suppose t*y = -2*q - q + 12, y + 6 = -3*q. What is the lowest common multiple of y and 11?
66
What is the common denominator of 79/48 and (-44)/3*16/80?
240
Let y = 4058 + -535649/132. Calculate the common denominator of y and -57/88.
264
Suppose 4*z + 11 = -o - 4, 2*o + 6 = 4*z. Let x = 2 + o. Calculate the common denominator of -87/10 and ((-58)/x)/((-12)/(-10)).
30
Let w = 5404 - 5609347/1038. Find the common denominator of w and -109/6.
1038
Let r = -28 - -32. Suppose r*f + 48 = 4*q, 4*q + f + 7 = 50. What is the least common multiple of q and 17?
187
Let c = -1/1014 - 2441/9633. Let r = c - 30/19. Calculate the common denominator of r and -89/18.
18
Let h = -85 - -89. Let c = h + 12. Calculate the least common multiple of c and 8.
16
Let s(q) = 63*q + 5. Let y be s(-5). What is the common denominator of 9/((-675)/y) + (-2)/3 and -71/18?
90
Let g = -671/112 + 57/16. Let s = -3/1789 + 76948/12523. Calculate the common denominator of g and s.
7
Find the common denominator of 958/(-840) + 2 + (-116)/870 and 53/46.
1932
Let r(i) = -i**2 + 10*i + 31. Let p be r(11). Calculate the common denominator of -89/20 and 2/8 - 104/p.
20
Calculate the common denominator of (-5)/4 - (-1887)/680 and 36/(-24)*(-18)/7.
280
What is the lowest common multiple of -7 + ((-266)/(-21) - 1/(-3)) and 39?
78
Let j(i) = i**2 + 11. Let b be j(-13). What is the common denominator of -33/25 and 126/b + 1/(3/(-3))?
50
Let h = -12743/160 - -399/5. Let k = 172/35 - 3173/140. What is the common denominator of h and k?
32
What is the common denominator of 5 + -3 - (-826)/(-112) and 21/340?
680
Suppose 0 = -2*x + x + 2066. Let q = x + -33069/16. Calculate the common denominator of q and 18/81*42/8.
48
Suppose 3 + 22 = 5*a. Let r(h) be the first derivative of h**2 - 6*h - 3. Calculate the smallest common multiple of 8 and r(a).
8
Let m = 14/83 - 1663/1494. Calculate the common denominator of m and 61/136.
1224
Suppose 0 = -2*n + 2*q + 412, -4*n + 2*q = -n - 616. What is the lowest common multiple of n and 24?
408
Calculate the smallest common multiple of 36 and 1/((-4)/(-104)) - (0 + 2).
72
Let p = 4 + -6. Let r(o) = -o**3 - 10*o**2 + 4. Calculate the smallest common multiple of 8 + -8 - p*6 and r(-10).
12
Let m = -37657/33462 + 302/169. Calculate the common denominator of m and 129/440.
3960
Let m = -110 + 67. Let v = -42 - m. What is the least common multiple of v and 8?
8
Let p(i) = i**3 + 3*i - 2*i + 2 + 18*i**2 - 22*i**2. Let o(y) = y**3 + 17*y**2 + 4. Let a be o(-17). Calculate the lowest common multiple of 16 and p(a).
48
Let j(l) = l**3 - 15*l**2 + 29*l - 25. Let q be j(13). Calculate the least common multiple of (q/315*9)/(2/210) and 10.
210
What is the common denominator of (9 + 861/(-98))/((-60)/(-574)) and 125/1806?
18060
Let y = -2 + -6. Suppose -4*q = c - 0 - 12, -4 = -c. Let o = q - y. What is the least common multiple of o and 5?
10
Suppose 0*r - 5*r + 68375 = 0. Let m = r - 136861/10. Find the common denominator of ((9/2)/3)/(31 - 162412/5206) and m.
90
Let j = 3 + -8. Let i = 1 - j. Suppose 0 = 5*f + 2*r - 14, i*r + 15 = r. Calculate the lowest common multiple of 1