t is the lowest common multiple of ((-12)/10)/((-1)/10) and u?
24
Let d(f) = 12*f + 77. Let k be d(-6). Suppose -2*g + 4 = 0, -k*g + 11 = o - 39. Calculate the least common multiple of 8 and o.
40
Suppose 52*q - 55*q - 84 = 0. Calculate the lowest common multiple of (-256)/(-6) + q/42 and 4.
84
Suppose -3*g = g + 3*y - 22, 2 = -2*g + 5*y. Suppose -41*z + 45*z = -324. Let w = 91 + z. What is the smallest common multiple of g and w?
20
Suppose 2*t - 20 = -3*c - 7, -22 = -3*t - 5*c. Let d be -3*(t + 43/3). Calculate the common denominator of -61/2 and (-1)/3*78/d.
20
Suppose 32 = 2*s - 2*d, -3*s - 2*s = -3*d - 88. Suppose -1 - 7 = -2*o, -s = -5*h + 5*o. Calculate the lowest common multiple of 1/(-3) + (-49)/(-21) and h.
8
Let r be -3 + 1 - (15 - 22). Suppose -j + r + 4 = 0. Suppose -v = -f + 7, -4*v = -2*f - f + 19. What is the smallest common multiple of f and j?
9
Suppose 7*c = 11*c + 204. Let j = c - -71. Suppose -3*i + 50 = l + 3*l, 5*i - 75 = -5*l. What is the least common multiple of i and j?
20
Let c = 138179/27180 + -693/151. Find the common denominator of c and 17/198.
1980
Let d(w) = -15*w + 4. Let m be d(-9). What is the common denominator of (m/(-15))/(14/35) and 55/9?
18
Suppose -39*s + 43*s - 12 = 0. Suppose -x - 9 = -d, -s*d - 3*x + 34 = x. Suppose 17 + 3 = 4*b. Calculate the least common multiple of b and d.
10
What is the lowest common multiple of 2 and ((-18)/24)/((-23)/(-8) - 3)?
6
Suppose j = 5*j - 20. Let u be (-2)/(2 - j/2). Suppose m = 5*m + 5*n - 46, u*m - 4*n - 28 = 0. Calculate the least common multiple of 18 and m.
18
Let n be ((-2)/(-6))/((-5)/45). What is the least common multiple of 7 and -1 + -4 + n + 13?
35
Suppose -2*l - 2*t + 2 = 0, -2*t + 6*t = 2*l - 8. Let u be (-3472)/6 + 6/l. Let w = u + 3533/6. Calculate the common denominator of 75/22 and w.
66
Find the common denominator of -17/117 and ((-856)/(-15301))/((-2)/(-12)).
1287
Suppose -j = 2*y - 136, -7*j + 5*j = -2*y - 248. Calculate the least common multiple of j and 18.
1152
What is the common denominator of 59/100 and -7 + 6 + (-218)/(-64)*2?
400
Let m = -4748342183/312253950 + 3/2081693. Let n = m + 726/25. What is the common denominator of n and 49/6?
6
Let s(l) = l**3 - 5*l**2 - 7*l + 7. Let g be s(6). Suppose -2*w - 5 - g = 0. Calculate the common denominator of -49/6 and w/(-2)*(-258)/(-63).
42
Let r = -23 + 29. Suppose 51 = r*t - 3. What is the smallest common multiple of 22 and t?
198
Let k(c) = 4*c + 38. Let m(d) = d + 1. Let g(z) = k(z) - 3*m(z). Let a = -31 + 18. What is the smallest common multiple of 4 and g(a)?
44
Suppose 53 = 4*w + 25. Suppose -4*x + 5 = x. Let f = 2 - x. What is the lowest common multiple of f and w?
7
Suppose 25 = 3*b - 4*o, 2*b - 16 - 2 = 4*o. Suppose 2*h - b = 21. Calculate the lowest common multiple of h and 20.
140
Let v be (-104)/(-7) + (-13)/(-91). What is the common denominator of 39/4 + (-5)/10 and (-37)/10 + v + -12?
20
Let g be 104/10 + 2/(-5). Let d = 19 + -17. What is the smallest common multiple of d and (-27)/(-5) + (-4)/g?
10
What is the common denominator of 82/(-12)*(-10 - -8) and (1/(-12))/(27/(-1170))?
18
Let u(j) = 22*j + 4. Let f be u(-2). Find the common denominator of -34*1/f + (-2 - -3) and 71/8.
40
What is the smallest common multiple of 134 and (2 + -3)/(9/(-126))?
938
Let r = -167/144 - 17/16. What is the common denominator of -139/78 and r?
234
Let b be 1/3 - 436307784/18. Let f = b - -17452315127/720. Let r = f + -17/45. What is the common denominator of 103/22 and r?
176
Let y(l) = -l**3 + 6*l**2 + 2*l - 2. Let x be y(5). Let m = -17 + x. Let s = 52 - 44. Calculate the lowest common multiple of m and s.
16
Let k(w) = -9*w**2 + 9*w - 10. Let i be k(6). What is the common denominator of 3004/i + (-4)/7 and 28/9?
90
Let y be ((-1)/(-4))/((-22)/(-955)). Let t = y - 96/11. Find the common denominator of t and (8/(-1))/(10 + 0).
40
Let j be 34/119 - 33146/(-168). Let q = -851/4 + j. What is the common denominator of q and 47/4?
12
Let v = 2166 - 495. Let p = v - 15064/9. Calculate the common denominator of p and -52/5.
45
Let w = -239 + -914. Let d = 6863/6 + w. Calculate the common denominator of 17/30 and d.
30
Suppose 2*c - 36 = -0. Suppose 0 = -v - 3*d - 0*d + 6, 5*d - 10 = 0. What is the least common multiple of 6 and (c + 2)*(1 - v)?
60
Let s(b) be the second derivative of -b**4/4 - 5*b**3/2 - b**2 + 2*b. Let x be s(11). Let u = 7425/14 + x. What is the common denominator of u and -43/8?
56
Suppose 0 = -878*q + 883*q - 225. Calculate the lowest common multiple of q and 30.
90
Let s = 8/35 - -72/35. Let o = -3721955/11 + 338615. Let u = -24674/99 + o. What is the common denominator of s and u?
63
Let q be 6/(-5)*440/(-12). Let p = -2 - q. Find the common denominator of p/12 + 2/6 and -31/6.
6
Let h = -2743 + 10891/4. Calculate the common denominator of (-3)/(-4)*(-2 + (-33)/(-6)) and h.
8
Let f be 847713/(-150696) - (-6)/24. Let b = 2/6279 + f. Calculate the common denominator of b and -143/6.
24
Let l(s) = s**3 + 3*s**2 - 2*s + 3. Let n be l(-4). Let t(o) = -4*o - 4. Calculate the lowest common multiple of t(n) and 3.
48
Let f(n) = 2*n**2 + 10*n + 3. Let b be f(-9). Find the common denominator of 151/192 and ((-7)/(28/b))/(2*1).
192
What is the common denominator of -9 + (8553/504 - 7) and -113/12?
168
Let m be (-15)/12*-6*-2. Find the common denominator of (-113)/42 - 5/m and (-974)/(-260) - 2/(-13).
70
Find the common denominator of -47/22 and -2*21/(-3318)*46/(-4).
1738
Let u = -19/7917 - 81489586/39585. Let z = -226091/110 - u. What is the common denominator of (2/(-21))/(4/(-27)) and z?
154
Let d(h) = h**3 + 3*h**2 + h + 4. Let q be d(-3). Let f be (6/10)/(q/25). Suppose f - 6 = s. Calculate the lowest common multiple of s and 4.
36
Let i(o) = -6*o + 8. Let y be i(3). Let l = 0 - y. What is the least common multiple of l and 10?
10
Suppose 5*q + f + 3*f + 278732 = 0, 3*f - 6 = 0. Let m = -1122931/20 - q. Let h = 399 + m. What is the common denominator of 101/4 and h?
20
Let m = 3 + 3. Let v(y) = -y. Let o be v(-4). Suppose -o = -2*r + 6. Calculate the least common multiple of r and m.
30
Suppose -2*d - 10 = -3*d + 4*s, -d = 5*s - 46. Let n = 46 - d. Suppose -4*j + 20 + n = 0. Find the common denominator of -70/9 and j.
9
Let v = -3 - -12. Let m(u) = u**3 - 9*u**2 + u - 3. Calculate the lowest common multiple of m(v) and 7.
42
Let b(i) = i - 3. Let y be b(6). Suppose 3 = y*l + 2*g, 2*g - 3 = l - 12. Calculate the least common multiple of 13 and l.
39
Suppose 15 = 5*a - 5*l, 2*a = -2*l - 2 + 12. Suppose 0 = 3*g - 0*g + 18. Calculate the smallest common multiple of ((-4)/((-8)/g))/(-1) and a.
12
Let h be (2/3)/((-4)/(-6)). Let f be (-9 - (1 + 2)) + h. Calculate the smallest common multiple of 10 and 3/2 + f/(-2).
70
Suppose 6 = 79*q - 77*q. What is the smallest common multiple of 13 and q?
39
Let m = -37 - -43. Let t(c) = 2*c**2 - 8*c + 6. What is the lowest common multiple of 30 and t(m)?
30
Suppose -3*v = -4*b + 8, -4*v + 4 = 4*b - 4. Suppose -2*k = -2*u + 56, b*u + k - 25 = 25. Find the common denominator of u and (-394)/(-72) + 1/(-4).
9
Suppose -u = 2*d - 9, 2*d - u - 11 = -4*u. What is the lowest common multiple of d and 222?
444
Let r(h) = h**2 - 6*h. Let s be r(7). Let z(d) = 2*d + 8. Let i be z(s). Suppose i + 11 = 3*l. Calculate the lowest common multiple of 6 and l.
66
What is the smallest common multiple of (7 + -5)/(172/42 + -4) and 91?
273
Let q be ((-8)/(-7))/(10/35). Suppose 0 = 5*w - 4*l - l - 25, -q*l = 4*w - 36. Let y = 13 - 1. What is the smallest common multiple of w and y?
84
Suppose n = 4*y + 24, 3*n - 3*y - 109 = -37. Let g(x) = x - 1. Let o be g(8). Suppose -9*j + o*j = -4. Calculate the least common multiple of j and n.
24
Let a = -188 - -78. What is the common denominator of -131/18 and (36/a)/(4/(-5))?
198
Let b be ((-492810)/(-8) - -3)/(-10). Let q = -6160 - b. What is the common denominator of q and 1211/392 + 4/14?
40
Suppose -5*x + 171 = -2*n, -n - 4*x - 144 = n. Let i = 8 - 3. What is the smallest common multiple of i and n/(-10) - (-6)/30?
40
Let v(l) = 24*l - 11*l + 1 + 3*l**2 + l**3 - 10*l. Let x be v(-3). Calculate the lowest common multiple of 40/(-14)*28/x and 2.
10
Let o be 1/(-4) + 101776/85760. Let v be 2686/8040 - (-1)/(-3). Let x = v + o. What i