 Calculate the least common multiple of f and 60.
2220
Suppose 30*g = -26*g - 34*g + 46620. Calculate the least common multiple of 740 and g.
5180
Let u(n) be the first derivative of n**4/4 - n**3/3 + 3*n**2/2 + 3*n + 8. Let z be u(-2). Let j = z - -57. What is the lowest common multiple of j and 6?
42
Let s(y) = 7*y - 4. Let j be s(3). Let v = 9107 - 9100. Suppose -v = f - j. Calculate the least common multiple of f and 2.
10
Let o = 165787/1471848 + 4/8761. Let t = 22768 - 1275041/56. Calculate the common denominator of o and t.
168
Suppose -3*k - 21451 = y, -2*y - 5*k = 3*y + 107215. Let w = y - -514633/24. Calculate the common denominator of w and 67/12.
24
Let x(g) = g**3 - 5*g**2 - 6*g + 10. Let o be x(6). Let n be 4/o - (-792)/(-2680). Let w = n + 2516/2211. Calculate the common denominator of w and 37/6.
66
Suppose -5*y = 3*j - 165, 0 = 4*j + 2*y - y - 220. Calculate the least common multiple of -90*(46/(-92))/((-6)/(-4)) and j.
330
Suppose 4*s + 32 = 5*a, 10*s + 4*a = 8*s + 10. What is the common denominator of 4/(-20) + (-5)/(-3) and (-52)/18 + 15/9 + s?
45
Let s(t) = 72*t**2 - 16*t - 7. Let c be s(3). Find the common denominator of 5 - ((-31)/62 - c/(-96)) and -67/14.
672
Let t(q) = 4482*q**2 - 97*q + 97. Calculate the lowest common multiple of 26 and t(1).
58266
Let f = -527483/229 + -37/458. Let v be 2251 + 6 + (6 - 6). Let d = f + v. What is the common denominator of 26/7 and d?
14
What is the common denominator of (132/49 - 2)/2 and (-22)/(-99) + ((-52679)/(-4851) - 10)?
49
Let u be (221/(-51))/(2/252). Let k = 624 + u. Calculate the least common multiple of k and 4.
156
Suppose 3*n = 3, 5*n + 3 = -i + 3*i. Let m be (-10726)/(-8) - 3/i. Let o = -14698/11 + m. Find the common denominator of o and -15/11.
11
Let b = 168151 - 57675746/343. Find the common denominator of b and 34/11.
3773
Let x = -289 - -296. What is the common denominator of 101/32 and 41/(-3) - 2 - x?
96
Let u(o) = -o**3 - o**2 - o + 58. Let h be (-10)/25 + 202/5. Suppose 0 = 41*g - h*g. What is the least common multiple of u(g) and 14?
406
Let o be -245547*(8 + (-125)/15). Let x = 13095899/160 - o. What is the common denominator of (-3)/((-216)/194)*-2 and x?
1440
Let v = -21544/5985 - 2/5985. Calculate the common denominator of ((-2)/(-3))/(5 + (-3)/2) and v.
105
Let m = -2775 + 2787. What is the lowest common multiple of 762 and m?
1524
Let l = -1324235/52 - -25467. What is the common denominator of l and 89/260?
260
Find the common denominator of -97/60 and (((-16)/168)/(2/3))/(47520/(-2387)).
4320
Let r(o) = -o**3 - 30*o**2 - 55*o + 62. Let n be r(-28). Find the common denominator of 459/68*(2 - n/24) and -53/8.
16
Suppose -5*l = -2*o + 64 - 97, 3*l + 9 = 0. What is the common denominator of 47/7 and (-5)/((-1780)/(-6))*(-164)/o?
2492
Suppose -45*i + 11*i - 18802 = 0. Let v = i + 1591/3. Find the common denominator of v and 115/42.
42
Suppose 0 = -4*o - 4*h + 128, 43 - 172 = -4*o - 3*h. Calculate the least common multiple of (198/110)/(1/25) and o.
495
Calculate the common denominator of (-118)/44*(-1 + 2) and (63 - 65)/(6960/(-732)).
3190
Let f be 6/(-40)*4 - (-18)/5. Suppose 0 = b - f*h + 10, 2*b + 0*h = -h + 15. Calculate the common denominator of 1/6 and -1 + (-1960)/(-32)*1/b.
12
Suppose -6*y = -3*y - 6, 2*c - 12 = -y. Calculate the common denominator of -59/8 and (-174)/(-26) + (-21)/14 - c.
104
Let u = -78 - -66. Let p be (-3)/u*(28 - 0/1). Calculate the common denominator of ((-9)/p)/((-100)/(-70)) and 151/18.
90
Let y = -286452 + 1765976584/6165. Let v = 9809/14385 + y. Find the common denominator of -24/35 and v.
315
Let t(b) be the second derivative of -b**3/3 + 18*b**2 + 13*b. Let q be t(0). Suppose 5*c = -c + q. Calculate the lowest common multiple of c and 42.
42
Let y = -20135573/8 + 2513635. Let x = 3301 + y. Find the common denominator of (6/32)/((-9)/138) and x.
8
Let k = -3426 - -3468. What is the lowest common multiple of 56 and k?
168
Suppose -3*n - 37 + 352 = 0. What is the common denominator of ((-30)/(-70) - 39/n)/2 and 69/20?
140
Let g(v) = 5*v**2 + 50*v + 38. Let k = -9 + 12. Suppose c - k*x = 3*c - 4, 0 = 4*x. Calculate the least common multiple of c and g(-10).
38
Suppose 588 - 3236 = -5*q - 4*x, -4*x + 1052 = 2*q. Let y = 553 - q. Let g(w) = 14*w**3 + w**2 + w - 1. What is the lowest common multiple of y and g(1)?
105
Let d = 1073 + -1071. Suppose 3*t = -2*r - 12 - 8, 5*t = -4*r - 32. Let y(o) = -o**3 - 8*o**2 - 3*o - 15. What is the lowest common multiple of y(t) and d?
18
Suppose -5*t = 5*y - 135, 3*y + 2*y - t = 153. Suppose 17 = 4*v + 5*r, -3*v + 2 + 10 = 4*r. What is the lowest common multiple of v and 25/y - 217/(-42)?
24
Let o = -32 - -34. Let t be 17 - 18 - (-120 + 0)/o. Let n = t + -38. What is the smallest common multiple of 27 and n?
189
Let a = 85 + -343/4. Suppose -4*t = t - 6680. Let j = t + -29397/22. Calculate the common denominator of a and j.
44
Suppose 2*k - 4*h = -9*h - 12, 4*h = -3*k - 4. Let z = 5127 - 102473/20. What is the common denominator of z and k + (-3 - (-564)/(-176))?
220
Let j(g) = -g**3 - 8*g**2 - 8*g - 7. Let n be j(-3). Calculate the common denominator of -31/40 and (-212)/(-14)*n/280.
280
Let k(h) = -892*h - 476. Calculate the lowest common multiple of k(-3) and 374.
37400
Let j = 713 - 476. Calculate the smallest common multiple of j and (319/(-406) + 16/28)*-42.
711
Suppose 17*n + 97 + 175 = 0. Let w be 2 + n/9 + 6069/(-27027). Let m = w - 14150/3003. What is the common denominator of m and -7/8?
56
Let o be (5 - 0)*((-11 - -6) + 6). Let d = -161371/57766 + -1/1699. What is the common denominator of 1124/(-24) - o/(-15) and d?
34
Let t(p) = -p**3 + 4*p**2 + 50*p + 103. Calculate the smallest common multiple of t(-3) and 4664.
9328
Let n = -260514 - -123483685/474. What is the common denominator of 83/2370 and n?
2370
Let j be 7616/72 + 4/18. What is the lowest common multiple of 2/21*7*3 + j and 48?
432
Calculate the lowest common multiple of ((9/2)/(-3))/((-30)/260) and 80.
1040
Let c be 6 + -5*(-5)/25. Suppose c*p + 45 = -5*z + 2*p, 4*z - 2*p + 30 = 0. What is the smallest common multiple of (z/(-24))/((-1)/(-9)) and 13?
39
Let s(f) = -f + 9. Let z be s(-3). Let r be -10 + z - 5971/(-4). Let j = r + -1472. What is the common denominator of j and 3/8?
8
Let v(i) = 5*i - 10. Let r be v(3). Let k be -3 - 5/(r/(-33)). Suppose 3*a + x - 35 = 4, -3*a - 4*x = -k. What is the least common multiple of a and 12?
84
Let f = 190 - 168. Suppose 24*n - 16 = f*n. Calculate the least common multiple of 92 and n.
184
What is the common denominator of -1 - ((-2175)/(-30))/(-29) and 17/1208?
1208
Suppose -2*u - 26 + 26 = 0, a = -u + 364. Calculate the lowest common multiple of a and 595.
30940
Suppose -892223 + 272499 = -7*a. Let b be -38*(-1957067)/(-840) + -2 + 2. Let c = b + a. Find the common denominator of -17/2 and c.
60
Let x(a) = -a**2 + 5*a. Let k be x(4). Let v = 2 + k. Calculate the least common multiple of 142 and v.
426
Let j(y) = 5*y - 58. Suppose 56 = 8*s - 4*s. Calculate the smallest common multiple of 75 and j(s).
300
Suppose 8*u - 347 - 413 = 0. Suppose -13*i = -61 - u. Suppose -4*c = 5*n - 3*c - 90, 4*n - 72 = -5*c. Calculate the smallest common multiple of i and n.
36
Let n = 12/111131 + -6232708/86793311. What is the common denominator of n and 25/923?
10153
Let n(u) = u + 8. Let l be (-125)/(-10)*8/10. Suppose -r - 5*y + l = 0, -5*y - 6 = 2*r - 16. Calculate the lowest common multiple of 20 and n(r).
40
Let a(f) = -5*f. Let w be a(4). Let o be w/15 - (-1)/3. Calculate the common denominator of 131/6 and (-40 + o)*((-1)/2 + 0).
6
Let q be (-337)/3 - (-1)/3. Suppose -5*p + 5*f = 2010 - 780, 742 = -3*p + 4*f. What is the common denominator of p/q + (-8)/28 and 11/16?
16
Let m(a) = -308*a - 664. What is the smallest common multiple of 22 and m(-3)?
2860
Let v = -5209 + 6442. Calculate the smallest common multiple of 548 and v.
4932
Let c(j) = 627*j - 12444. What is the least common multiple of 62 and c(24)?
2604
Let x(t) = t**2 - 30*t - 72. Let v be x(30). Let o = -70 - v. Let u = -13 + 165. What is the lowest common multiple of u and o?
152
Let m = 217862 + -217854. Suppose 5*x - 54 = 26. What is the least common multiple of x and m?
16
Let w = 284745287/85450 - 126/42725. Let b = 3338