common denominator of 63/160 and ((-11)/(-56))/((-3568)/(-3122)).
320
Suppose 10*i - 7*i - 109 = -5*b, -5*b - 87 = -4*i. Calculate the lowest common multiple of i and 16.
112
Suppose 55*p = 50*p + 180. Let u = -989/408 + 5/102. What is the common denominator of u and 2 + (-75)/(-27) + p/12?
72
What is the lowest common multiple of 3514 and 15 - 2/(-2) - (-7)/(-63)*0?
28112
Let t(r) be the first derivative of 22 + r + 1/2*r**2 + 2*r**3 + 1/4*r**4. What is the least common multiple of 24 and t(-5)?
168
Suppose -4*d + 4256 = p - 5*p, -5*p - 5308 = -2*d. Let o = p + 12707/12. Calculate the common denominator of o and 37/118.
708
Suppose 0 = -k + y + 12, -3*y = 4*k - 9*k + 54. Calculate the lowest common multiple of k and 1890.
1890
Calculate the common denominator of 18 + (-7 - 65905/5936) and 103/530.
4240
Let l be (1542/(-15))/(3528/(-630)). Let h be (37/(-63))/(2/12). Let a = l + h. What is the common denominator of -5/3 and a?
6
Suppose -2*x + 270 = 2*d, 8*d = -3*x + 3*d + 409. Suppose -3*t - 5*g = -x, -3*t = -2*g + 3*g - 113. Calculate the least common multiple of t and 24.
72
Let n(d) = d**3 + 3*d**2 - 14*d + 14. Calculate the lowest common multiple of n(2) and 94.
282
Let k(c) = -c + 1. Let p be k(4). Calculate the common denominator of p*8/128*14/(-6) and 143/24.
48
Suppose 0 = 21*s + 7 - 7. Suppose s*d - 9*d + 243 = 0. What is the smallest common multiple of 2 and d?
54
Let m(o) = o**3 + o**2 - 11*o - 300. Let d be m(0). What is the common denominator of 5960/d*(-1)/(-20) and -91/15?
150
Let s = -2320670 - -10818963593/4662. Calculate the common denominator of -49/24 and s.
18648
Let w = 18563167/149544 + -8315/67. Calculate the common denominator of w and -61/2232.
2232
Let a be 42/(-90)*-4109*(-809)/9. Let h = a + 172363. Let i = -21463/4590 - h. Find the common denominator of 139/6 and i.
102
What is the common denominator of 51/100 and (-5 - (-38)/7)*(-273)/410?
4100
Suppose -10*y + 13*y + m - 9744 = 0, 4*y - 12992 = m. Calculate the least common multiple of 6 and y.
9744
Let b be (-2 - (-1)/((-1)/(-15))) + -1. Let s be b/(-22)*(-16 - -5). Suppose a = s*a - 15. Calculate the lowest common multiple of a and 4.
12
Let g = 24125/16 - 1508. Let q = -8261/6 + 1352. What is the common denominator of g and q?
48
Let b be 152 - ((3 - -3) + -12). Calculate the common denominator of -7/2 and (-45)/(-30) + b/(-4).
2
Let b be 1 + -2 - (-737696)/737680. Let v = -3642196/4564395 - b. Find the common denominator of v and -35/18.
198
What is the common denominator of ((-7360)/(-4968))/(2/6) and -115/492?
1476
Suppose -9*p + 34*p + 7*p - 64 = 0. Let q be (109/1)/((-1)/5). What is the least common multiple of q/(-15) - 1/3 and p?
36
Calculate the smallest common multiple of 1/2*(-1704)/(-71) and 729.
2916
Let k = 79 + -23. Suppose 0 = 3*a + 3*n - 123, 26352*n = 3*a + 26356*n - 122. Calculate the least common multiple of k and a.
168
Let k = 67 - 35. Suppose 8*u - 4*u - k = 0. Suppose 10*s - 8*s = 64. What is the lowest common multiple of s and u?
32
Let i be 321/(-12) + (-5)/20. Let j(w) = -5*w + 127. Calculate the least common multiple of 6*((-18)/i)/(2/4) and j(23).
24
Let p be -2 + 104/28 - (-2)/7. Suppose b = 14 + p. What is the common denominator of 10/b - -1 - 0/2 and -55/2?
8
Let r(t) = -2*t**3 + 35*t**2 + 131*t - 28. What is the least common multiple of r(-4) and 17/((-1)/(-8 + 0))?
136
Let p be 6/(-16) - (-1924)/(-416). What is the common denominator of p/(-15)*(-8 - -7) and 16/19?
57
Suppose -7*r - 1390 + 1453 = 0. What is the lowest common multiple of r and 117?
117
Let y = -41093869/280 - -146764. What is the common denominator of y and 99/50?
1400
Let z be (-231)/18 - (-2)/(-12). Let t(o) be the first derivative of -o**2/2 + 4*o - 8. What is the least common multiple of t(z) and 11?
187
What is the common denominator of -7/698 and 1/(-14) - (-21294)/(-27048)?
32108
Let i be 8/((-40)/(-15)) + -54. Let c be 8*(-4 + i/(-12)). Suppose c*k - 39 = -31. What is the smallest common multiple of k and 60?
60
Let u = 1552 - 1544. What is the least common multiple of 32 and u?
32
Let h(j) = 23*j**3 + 2*j**2 + 256*j - 1033. Calculate the smallest common multiple of 9 and h(4).
13455
Suppose -128*h - 102*h + 52*h + 30438 = 0. Calculate the lowest common multiple of 285 and h.
855
Let z = 230 - -165. Suppose -5*m + 5*p = -z, -4 = -14*p + 10*p. Calculate the smallest common multiple of m and 6.
240
Let h = 37918 + -37830. What is the smallest common multiple of 4 and h?
88
Suppose -34*s - 5 = -38*s + 3*a, 5*s + a = 11. Calculate the common denominator of (-996)/(-27)*s/(-88) and -83/12.
396
Let u = -206582 - -542690900/2627. Let c = u - 43189/275835. What is the common denominator of c and 26/105?
105
Let g = -993515/64 - -15524. What is the common denominator of g and 97/156?
2496
Let w(s) = s**2 - s + 4. Let h be w(0). Suppose 29 - 9 = h*m. Let b(z) = -5*z**2 - 44*z - 22. What is the lowest common multiple of m and b(-8)?
10
Let b(w) = -11*w - 1064. What is the least common multiple of 125 and b(-109)?
3375
Suppose 7*m - 1 = 13. Let i(x) = -5*x + 3. Let h(t) = 4*t - 3. Let o(d) = -4*h(d) - 3*i(d). Calculate the smallest common multiple of 5 and o(m).
5
Let x be (19/198)/((16/(-12))/((-754)/(-3))). Let j = 67/29601 - 49/299. Let v = x + j. What is the common denominator of v and -61/24?
24
Suppose -f - 3*d + 30 = 0, 179*f + 70 = 181*f + 4*d. Calculate the smallest common multiple of 1017 and f.
5085
Let u = -25240 + 25244. What is the lowest common multiple of 64/(5 - 3) + -2 and u?
60
Let k(y) = y**3 - 5*y**2 + 4*y + 4. Let c be k(7). Suppose 27*u = 14*u + c. Calculate the least common multiple of 2 and u.
10
Let r(v) = -v**3 + 30*v**2 + 7*v - 201. Calculate the lowest common multiple of 3642 and r(30).
10926
Find the common denominator of 2*(-13)/78 + 57/322 and 10/3.
966
Let m = -7697/216704 + -6/1693. Calculate the common denominator of m and 23/1168.
9344
Let l be 61 + -2 - (-2 - -2). Suppose 0 = -4*p + 4 + 136. Let j = l - p. Calculate the least common multiple of 9 and j.
72
Suppose -6*z + 1 = -17. Suppose t = 3*s - 2*t + 9, -z*s - 5*t = -31. Suppose -4*c = -s*c - 40. What is the least common multiple of 8 and c?
40
Let i(f) = -f - 4. Let z be i(6). Let s(g) = 30*g + 350. Let h be s(-12). Calculate the common denominator of (-2)/z*11*h/8 and -13/20.
20
Let j(d) = 108*d**2 - 67*d - 153. Calculate the least common multiple of j(-3) and 90.
3060
Find the common denominator of (-133)/2280 + 60/100 and -11/993.
7944
Calculate the common denominator of 162320/(-793056) + (-16)/(-88) and 49/15.
22530
Suppose 8 = -3*l + 7*l. Calculate the common denominator of (l/55)/((-16)/470) and 36/8*68/12.
44
Suppose 84*l - 15932 = 3724. What is the lowest common multiple of l and 15?
1170
Let s = 173210687/66 - 2624350. Let d = s + -838/11. What is the common denominator of d and 2 + (-7)/44*-2?
66
Let p = 16392 + -1770295/108. What is the common denominator of p and -11/108?
108
Let c(x) = -23*x**3 - 5*x**2 + 3*x - 2. Let v be c(2). Calculate the common denominator of (-206)/600 + (-2)/(-6) and (-335)/(-4)*((-1216)/v - 6).
100
Let r = -170 + 176. Suppose r = -3*k + 42. What is the least common multiple of 2 and k?
12
Let y = 171 + -181. Find the common denominator of 4/y*(-7440)/(-384) and 109/114.
228
Find the common denominator of 15/(-20) + -1 - ((-124)/21 - -6) and 43/728.
2184
What is the common denominator of -71/180 and 666/135*(-18)/2312?
52020
Let c(z) = -z + 3. Suppose 6*l = -26*l. Suppose -32*u + u + 1178 = l. Calculate the lowest common multiple of c(-3) and u.
114
Let i(j) = -j**2 - 14*j + 14. Let z be i(-15). Let u = z + 5. Suppose -3*r + u*r - 15 = 0. Calculate the smallest common multiple of 30 and r.
30
Let h(v) = 24*v**2 + v + 1. Let m be (-2)/3*6/4. Suppose -89*g + 451 + 233 = -918. What is the lowest common multiple of h(m) and g?
72
What is the least common multiple of -8 - 4824/(-60) - (-8)/(-20) and 60?
360
Calculate the least common multiple of 89 and -8*9*7/(-56).
801
Suppose 18*k = 173*k - 16120. Calculate the smallest common multiple of k and 130.
520
Let g = -1321338805/1782 + 741492. Find the common denominator of 47/1188 and g.
3564
Calculate the common denominator of -5/5508 and 11*(-16)/616*7/(-5) + 8.
27540
Let c = 30990/11 - 2