
Let j(b) = b**3 - 26*b**2 + 22*b + 110. Calculate the smallest common multiple of 245 and j(25).
245
Suppose 0 = 4*c - 3*r - 117, -2*r = 2*c - 4*r - 58. Let t(z) = -11*z + 1. Calculate the least common multiple of t(-1) and c.
60
Suppose 16 - 106 = -g - 2*f, -4*g - 2*f + 378 = 0. What is the lowest common multiple of g and 60?
480
Let y = 3479/60 + -302/5. Calculate the common denominator of 131/54 and y.
108
Suppose 4*d - 26 = -k, -4*d = 3*k + 10 - 48. Calculate the lowest common multiple of k and 2.
6
Let h(i) = -i**3 - 19*i**2 - 26*i - 78. What is the smallest common multiple of 220 and h(-18)?
660
What is the common denominator of ((-140)/(-88))/(4/8) and 47/3?
33
Let i = 56 + -77. Calculate the smallest common multiple of 60/45*i/(-4) and 10.
70
Let h(a) = -a - 6. Let y be h(2). Let r = y + 9. Calculate the smallest common multiple of r and 2/7 - (-225)/21.
11
Let f = -13678/51 - -806/3. Let c = 127/306 - f. Calculate the common denominator of -69/16 and c.
144
Let j be (-7970)/(-15)*(-2)/48. Let n = j + 44/9. What is the common denominator of (82/32)/(3/6) and n?
8
Let d = -1 + 2. Let w(x) = x**2 + 14*x + 26. Let r be w(-11). Let y = d - r. What is the least common multiple of y and 20?
40
Suppose 0 = -4*g + 5*l - 128 - 105, 5*g = -2*l - 316. Let q = g + 74. Calculate the lowest common multiple of 204 and q.
204
Suppose 6*y - 10 = y. Suppose 2*f - 21 = -5*c, -f + 25 = y*f + c. What is the common denominator of 107/12 and (-435)/140 - 2/f?
84
Let q = 85 - 57. Suppose -2 - q = -6*w. Calculate the lowest common multiple of w and 6.
30
Let p = 120709/280 + -3020/7. Calculate the common denominator of -79/80 and p.
80
Let t(z) = 6*z. Let v be t(-2). Calculate the common denominator of -39/10 and ((-154)/v)/(-4*(-2)/24).
10
Let o = 2/5937001 - -1196729641/391842066. Let h = 47/14 - o. What is the common denominator of h and 70/3?
33
Let a = 13639 - 1841299/135. What is the common denominator of a and -43/120?
1080
Let l(u) = 30*u**3 + 4*u + 4. Let p be l(5). Let i = -41467/11 + p. What is the common denominator of 89/10 and i?
110
Let p = 4005 - 3990. Suppose r - 3*r + 22 = 0. What is the least common multiple of p and r?
165
Let u = -131114 - -11538169/88. Let w = -24/11 + u. What is the common denominator of w and 17/20?
40
Calculate the smallest common multiple of (6/18 + 1 + 0)*60 and 44.
880
What is the smallest common multiple of 4 + 6*-2*(-4)/6 and 132?
132
Let d = -105 + -25. What is the common denominator of 55/4*(-13)/d and -33/5?
40
Suppose 8*g - 600 = 9*g. Calculate the common denominator of -27/10 and -1 - (-2)/(g/(-835)).
60
Let s be 4/3 - (-4018231)/(-642908). Let v = s - -2/22961. What is the common denominator of 35/4 and v?
12
Let t = -655/2 - -1623/5. What is the common denominator of t and 726/56 + (-6)/(-21)?
20
Calculate the common denominator of (-9)/(-6)*(-1 - (-93)/(-18)) and 32.
4
Suppose 7 = 3*r - 0*r + 4*x, 4*r - 2*x = 2. Let u = 11 - 6. Suppose 2*t + 5*k - 4 = 0, 5*t - 2*k - u - 5 = 0. What is the least common multiple of t and r?
2
Let c = 24 + -22. Calculate the common denominator of (-15)/18*(-194)/10 and c/7 - 2796/(-112).
12
Let a be (141/2)/((-12)/76). Let s = -492 - a. Calculate the common denominator of 105/22 and s.
22
Let d = -7 - -12. Suppose -y + d*j - 16 = 0, -j = 4*y - 2*j + 26. Calculate the least common multiple of 14 and (-2)/y + 138/18.
56
Let f = -75756047/280 + 270557. Calculate the common denominator of f and -99/20.
280
Let w(r) = -r**3 + 2*r**2 + 1. Let d be w(2). Let o(c) = 19*c**2 + 1. Suppose 0 = 118*u + 33*u - 2718. What is the least common multiple of u and o(d)?
180
What is the least common multiple of ((-12)/42)/(4/(-336)) and 96?
96
Let x(i) = -i**2 - 34. Let p be x(0). What is the common denominator of (-85)/(-3)*(-6)/28 and p/14*(-3)/(-6)?
14
Let h(c) = c**3 + 14*c**2 - c - 14. Let t be h(-14). Find the common denominator of (t - -2) + (355/(-90) - -3) and -93/82.
738
Suppose -3*f = -2*l - 422, -3*f - 37*l + 42*l = -407. What is the smallest common multiple of f and 80?
720
Let u(b) = 2*b**2 - 4*b - 3. Let y be u(3). Suppose -2*h + 10 = y*h. Let j = 13 - h. Calculate the lowest common multiple of 8 and j.
88
Let h = 2181/710 + -63/284. Find the common denominator of -79/20 and h.
20
Suppose 5*d = 202 + 323. Calculate the common denominator of -2 + 4*d/50 and -169/42.
210
Suppose 3 = 14*p - 13*p. Suppose 0 = -w - 2*j - 2, -4*j + j + 15 = -3*w. What is the least common multiple of p and w/((9/6)/(-3))?
24
What is the least common multiple of (-10)/(-65) - (-330)/117*51 and 90?
720
Let l = -64 + 92. Calculate the lowest common multiple of 24 and l.
168
Let b = -3767 - -1658. Let g = b - -21033/10. What is the common denominator of g and -2 - (122/(-4) + 0)?
10
Let a(t) be the first derivative of -t**4/4 + 3*t**3 + 3*t**2/2 - 11*t - 22. Calculate the least common multiple of 20 and a(9).
80
Let k = 71 + -100. Let t = 37 + k. Calculate the least common multiple of t and 20.
40
Suppose -3*i - 3*x = -4*x - 903, 0 = 5*i - 4*x - 1505. Calculate the least common multiple of i and 8.
2408
Let q(o) = -9*o - 1. Let v be q(4). Let g = 67 + -126. Let l = v - g. What is the least common multiple of l and 14?
154
Let f = -62601357/290 - -215867. Calculate the common denominator of 18/7 and f.
2030
Let u = 847 - 679. Calculate the lowest common multiple of 7 and u.
168
Suppose -19 = w - 3*p, -1 = -0*w - w - 2*p. Find the common denominator of -2 + 0 - 79/(-6) and 1124/280 + (-2)/w.
30
Let t = -2978/9 + 6277/18. Find the common denominator of t and (-5)/(-1) + (-1776)/176.
66
Let f = 41 + -19. Suppose 0*i - 2*z - 145 = -3*i, 2*i = 3*z + 100. Suppose 8*l + i = 127. What is the lowest common multiple of l and f?
110
Let s be (54/(-8))/(2/(-16)). Suppose -3*x + o + 64 = -0*x, 5*o = -2*x + s. What is the lowest common multiple of x and 2?
22
Let l = 450 - 448. Suppose -4*g - 3 + 27 = 0. Let f = g + l. Calculate the smallest common multiple of 11 and f.
88
Suppose 0 = 5*z - 2*n - 2, -10 - 12 = -z - 5*n. Suppose 0 = -z*k + 4*r + 2, -r - 4*r - 34 = k. What is the least common multiple of 6 and 14 - -1*k/3?
66
Let j(c) = -c - 1. Let u be j(-13). Let z(s) = -s + 14. Let g be z(u). Suppose 8 = g*m - 4. Calculate the least common multiple of m and 9.
18
Let c = 3/1057 - -16903/3171. What is the common denominator of c and -99/524?
1572
Let x be (-310)/(-14) - (-19)/(-133). Let u = 40 - x. Calculate the smallest common multiple of u and 22.
198
Let t = 15495 + -976237/63. Find the common denominator of 12/49 and t.
441
Let b be (-139203)/(-6)*8/(-18). Let y = 144313/14 + b. What is the common denominator of ((-285)/(-6) + -2)/6 and y?
84
Suppose -2*o + 5*o - 18 = 0. Suppose 21 + o = 3*g. Calculate the common denominator of -24 and (-1084)/(-160) - g/(-15).
8
Let f be 1/(-2) - 134/(-4). Suppose 5*c + 21 = -z, -10*z + 29 = -9*z - 5*c. Calculate the least common multiple of 6/f + 172/22 and z.
8
Suppose o - 5*z - 106 = 0, -38*o + 40*o = z + 167. Calculate the least common multiple of o and 6.
162
Let q(i) = i**2 - 4*i - 7. Let u be q(6). Suppose -u*b + 9*b = -60. Let x = b + 26. Calculate the lowest common multiple of 1 and x.
11
Find the common denominator of -25 and (624/88 - 7)*-23.
11
Suppose 9 + 9 = 3*z - p, z + 5*p - 6 = 0. Suppose 3*r - 2310 = z*r. Let q = r - -10775/14. What is the common denominator of q and -19/2?
14
Suppose -4*x + 195 = -5*c, -2*c - 2*x = x + 101. Let m = 70 + c. Let u = -21 + m. What is the smallest common multiple of u and 3?
6
Suppose 84 = -l + 3*l. Suppose -6 = x - l. Calculate the smallest common multiple of 4 and x.
36
Suppose 0*t = -2*t + 8. Suppose t*h + 5*j - 224 = 42, 5*h - 326 = -3*j. Suppose 20*a + 16 = 22*a. Calculate the least common multiple of h and a.
64
Suppose 8*m - 3*m + 100 = 0. Let n be ((-6)/8)/((-16865)/m). Let q = 441827/40476 - n. What is the common denominator of -27/22 and q?
132
Suppose 24*t - 660 = 2*t. Calculate the least common multiple of 24 and t.
120
Let n = -1979 + 1987. Suppose 3*d - 1 - 5 = 0. Calculate the lowest common multiple of n and 46/6 - d/3.
56
Let z = 4/47 + -905/141. Find the common denominator of 4/145 and z.
435
Let f be (-9)/(-2) - (-1)/(-2). Suppose 5*b = 42 + 48. What is the least common multiple of (-246)/(-12) - (-6)/f and b?
1