he common denominator of a and -31/8?
72
Suppose -3*c + 675 = -j, -296*c + 1125 = -291*c - 4*j. What is the lowest common multiple of c and 1100?
9900
Let g be (8 - 6)/((-4)/19)*22. Let i = g + 217. Calculate the smallest common multiple of 5*(0 + (-1 - -2)) and i.
40
Suppose -g = 2*g - 3. Let h = g - -5. Let q(z) = 193*z - 16391. What is the lowest common multiple of h and q(85)?
42
Let m = -12451/159 - 390/53. Let s = -4121/48 - m. Calculate the common denominator of s and -67/216.
432
What is the common denominator of (-3)/(-27)*-23*-6 and (588/(-42210)*-45)/(-4 - -2)?
201
Suppose -26 = 2*r - 4*r. Suppose 11*d = 9 + r. What is the lowest common multiple of 80 and d?
80
Suppose -74*g + 9120 = 116*g. What is the lowest common multiple of 558 and g?
4464
Let n(q) = q**3 + 3*q**2 - 2*q + 4. Let s be n(4). Suppose 0*p + 9*p = s. What is the lowest common multiple of 40 and 194/p + (-1)/6?
80
Let j = 239448 - 2151277/9. Let r = j + -823/2. Calculate the common denominator of r and 91/100.
900
Suppose -5 = 5*p - 5*d - 40, 2*p = d + 13. Calculate the smallest common multiple of 354 and p.
354
Let l be (-2)/6 + ((-1183796)/(-282560) - 5). Let x = 9/4415 - l. Find the common denominator of 109/18 and x.
144
Let g be 2365/(-385) - (-2)/14. What is the common denominator of g/(-8) + -1 + (-1)/(-16) and -73/84?
336
Let u = 1/36550 + -1297589/2339200. Find the common denominator of u and 1/288.
1152
Let c = 5953 - 5233. Calculate the lowest common multiple of c and 3.
720
Let x = 78 - -30. Let i = 129 - x. What is the smallest common multiple of i and 54?
378
Let j(t) = 23*t - 41. Suppose k + 5*x - 10 = 8, 5*k - 21 = -2*x. Let b be j(k). Find the common denominator of 2 - (-1)/(b/(-114)) and 67/10.
70
Let l = 2607175/11 - 49882375/198. Suppose 19364 + 55171 = 5*c. Let g = c + l. Calculate the common denominator of 115/14 and g.
126
Let x = 3199 + -31931/10. Find the common denominator of x and (-338)/3211 + (((-311)/(-165))/1)/((-76)/(-42)).
110
Suppose 0 = 2*m + h - 2*h + 120, -2*m - 5*h = 120. Let z = -10576 - -42235/4. Find the common denominator of m/(-4)*(-58)/(-36) and z.
12
Let h = -7/51235468 + 379680447549/87356472940. Let b be -9 + 5 + (-4 - 1292/(-155)). Let m = h + b. Calculate the common denominator of m and 29/10.
110
Let i = 0 + 3. Find the common denominator of i + -1 - (-44)/(-14) and (5 + -60 - 38)/(1 + 1).
14
Let v be (-3)/(-38)*59/(9027/(-136)). Let u = -78350/19 - -1175401/285. Let f = v - u. Find the common denominator of f and -9/11.
55
Let u(t) = t**2 + 3*t + 3. Let i be u(-2). Calculate the lowest common multiple of (0 - i)*(-14)/7 and 11.
22
Let l = 8474653/5309356 - 2/102103. What is the common denominator of l and -23/11?
572
Calculate the common denominator of (((-6040)/36)/(-5))/(8 + (-220)/15) and 49/12.
60
Suppose 2735 - 7366 = -11*i. Let s = -3391/8 + i. What is the common denominator of -31/22 and s?
88
Let j = -564 - -956. Find the common denominator of (j/189)/7*5/100 and -22.
135
Let u(q) = q**3 - 24*q**2 - 23*q + 2. Let c(v) = -v**3 + 16*v**2 + 4*v - 39. Let x be c(16). What is the lowest common multiple of u(x) and 44?
572
Let a = 283 + -282. Calculate the common denominator of 30/(-45) - ((-93)/(-18) + a) and -48.
6
Let j be (-1 - 7/(-21))/(2/6). What is the common denominator of -11 - (-7889)/504 - j/9 and 30/139?
1112
Let d(k) = -5*k**3 + 3*k**2 + 10*k + 8. Let l be d(-5). Suppose 0 = -15*i + 107 + l. Calculate the lowest common multiple of i and 21.
357
Let c = 4/2025 - 89456/180225. Calculate the common denominator of 4 and c.
89
Let q = -607 - -643. Calculate the lowest common multiple of q and 4100.
36900
Let w = 69/4 - 3543/196. Calculate the common denominator of -37/357 and w.
4998
Let m = 883 - 8819/10. Let o = -59 - -46. Find the common denominator of m and 23 + o - (-189)/(-30).
10
Suppose 15*c = -4*c + 221293. Let h = 186273/16 - c. Calculate the common denominator of 95/12 and h.
48
Let p = -22171/8 - -2778. Let c = 1960419/13 + -61586627/390. Let z = c - -7116. What is the common denominator of p and z?
120
Let q = -9168/11 + 220747/264. Let w = 2364749/4998285 - -1/161235. What is the common denominator of w and q?
744
Calculate the common denominator of (-44)/14*(-6 - -8) and 1/2162.
15134
Let x be 2/(2 - 24/14). Let s = -20 + 29. Calculate the lowest common multiple of (-6)/(-10)*(x - 277)/(-6) and s.
27
Let y = 1673 - 20129/12. Find the common denominator of y and (-233)/(-15) - (-5)/(50/8).
12
Find the common denominator of -31/282 and 17 - 15 - 0 - (-1658)/(-940).
1410
Suppose 3*p = 2*v + 5*p - 64, p - 149 = -4*v. What is the lowest common multiple of v and 216?
2808
Let g = 353 + -345. Suppose -3*p - 5*s + 19 = 0, s = 7 - g. Suppose o = 26 - 2. What is the lowest common multiple of o and p?
24
Let v(j) be the third derivative of j**4/3 - 17*j**3/6 + 6*j**2. Let l be v(3). Suppose l = 5*z - 3. What is the lowest common multiple of 5 and z?
10
Let q(y) = -y**3 + 7*y**2 + 33*y - 143. Let i = -24 - -84. Suppose 4*u - 9*u + i = 0. Calculate the lowest common multiple of u and q(8).
228
Suppose 5*t + 2*b = 0, 3*t + 4*b + 19 = -b. Suppose k = 3*s + 410, -k = -t*k + 2. What is the least common multiple of s/(-22) + 106/22 + -5 and 33?
66
Let n = -22955/297 + 1779/22. Let w = -224/27 + n. What is the common denominator of w and (-2 + 25)/(11 - 474/6)?
612
Let b = 35 - 18. Suppose 5*o - y = 34, -o - o + b = 3*y. Let a(w) = -3*w**2 + 128*w + 17. What is the smallest common multiple of o and a(42)?
707
Suppose 0 = 2*l - 18*l. Suppose l = -32*w + 41*w - 252. Let q(c) = -3*c - 1. Calculate the least common multiple of q(-5) and w.
28
Suppose -4*n = -21*k + 24*k - 7020, -k + 4 = 0. Let s = -107529/10 + 10741. Find the common denominator of (28/15 + -2)*n/(-32) and s.
10
What is the common denominator of (666/(-3006))/(-2 - 15) and 73/8?
22712
Suppose -5*f = -3*n + 115, 5*f + 85 = -6*n + 3*n. Find the common denominator of 58/81 and (-5 - 477/(-63))/(f/21).
810
Find the common denominator of -39/8 and ((-92)/(-184))/((-20)/(-31)).
40
Let r = 19956 + -1097541/55. Find the common denominator of r and 2/21*(-28470)/1300.
385
Calculate the common denominator of 49/5046 and 10449/9804 + (-3)/(-4).
95874
Let y(i) = -2*i**2 + 26*i + 132. Calculate the smallest common multiple of 1408 and y(16).
12672
Let r(j) = -2*j**2 - 26*j + 62. Let g be r(-14). Find the common denominator of ((-9)/((-540)/25))/((-4)/g) and 82/33.
264
Suppose 4*w - 126 = -27*n + 22*n, -4*n - 4*w + 104 = 0. What is the least common multiple of 7362 and n?
80982
Find the common denominator of -53/46 and (10 - (-658)/(-70)) + (-4)/((-11040)/(-861)).
184
Let c = 57 - 63. Let r be 8/(c/4*20/(-15)). Suppose -4*p + 64 = -4*o, -4 = -5*p + r*p - 2*o. Calculate the least common multiple of 18 and p.
36
Let l = 0 - -2. Suppose -52 + 202 = 6*q. Suppose -17*k - q*k = -420. What is the smallest common multiple of k and l?
10
Let b = 117 - 161. Let z(r) = -r**3 - 43*r**2 + 41*r - 130. Calculate the least common multiple of z(b) and 194.
194
Let a be 36/10*(-80)/48. Suppose h - 3*v - 59 = v, 0 = -3*h - 4*v + 97. Calculate the lowest common multiple of h and (-55)/(-20) + (a/(-3))/8.
39
Let r = -19946651/224 - -89048. What is the common denominator of -1/280 and r?
1120
Let d = -13977151427704/2029471661259 + -720/67252267. Let n = -6/3353 + d. What is the common denominator of n and 91/24?
72
Let s = 2/151 - 1367/604. Let z = -11/12 - s. Find the common denominator of 89/326 and z.
978
Let a = -63625999/476 + 133668. What is the common denominator of a and 89/680?
4760
Let b be 53/22*315/(-28). Let f be 3 + -2 - (-2343)/88. Let z = b + f. What is the common denominator of z and 57/10?
220
Suppose 0 = -57*l + 55*l + 2. Let a be -2 + (l - 20/(-5)). What is the least common multiple of 14 and a*50/6*2/5?
70
Let d(o) be the second derivative of -o**5/20 + 11*o**4/12 + o**3 - 4*o**2 - 190*o. What is the lowest common multiple of 22 and d(11)?
638
Let z(k) = 74*k - 143. What is the least common multiple of z(7) and 500?
1500
Let v = 109483/4938 + -4/823. Suppose 15*j + 15 = 18*j. Find the common denominator of v and 889/(-140) + j + (-6)/3.
60
Let p(m) = 1988*m**3 + m**2 - 2*m + 1. Let v be p(1). What is the common denominator of (3/(-11))/1*17 and (-8 - v/(-231)