
50
Let w(d) be the second derivative of 0 - 29*d**2 + 2/3*d**3 - 32*d. Calculate the lowest common multiple of w(17) and 5.
10
Let i(d) = -d**3 + 4*d**2 - d + 4. Let m be 4/(-10) - ((-556)/(-10) - -2). Let u = m + 61. Calculate the smallest common multiple of i(u) and 4.
20
Let z = -20442 - -6541431/320. What is the common denominator of 49/512 and z?
2560
Suppose 17 = -10*p + 47. Calculate the lowest common multiple of 10 and 93/(((-171)/38)/(p/(-1))).
310
Suppose 0 = -0*a + 5*a - 50. Let d = -83 + 88. Suppose 3*x + a = -0*o + 5*o, 5*x - 50 = -d*o. What is the smallest common multiple of 1 and x?
5
Suppose -5*o = -2174*k + 2172*k - 6930, o - 2*k - 1386 = 0. Calculate the lowest common multiple of o and 2002.
18018
Calculate the least common multiple of 407 and 2070/28 + (-46)/(-644).
814
Let n = 16/1925 + -1031/117425. Let k = n + -10623/111020. What is the common denominator of 81/20 and k?
260
Suppose 4*z - 5 = -z. Let l(i) = -i**3 - 7*i**2 + 3*i + 30. Let h = 166 - 173. What is the lowest common multiple of l(h) and z?
9
Let o = 53 - 52. Suppose b = -o + 17. Suppose 2*u + u = -3*v + 3, v = -5*u + 17. What is the smallest common multiple of b and u?
16
Let y = -605 + 905. What is the common denominator of 21/5 and ((-8)/(-60) - (-446)/y)*1?
50
Let s be (0 - 2) + (-422)/(-213). Let k = -6611/426 - s. Let z = -1/7959 + 172448/23877. Calculate the common denominator of z and k.
18
Let l(i) = i**2 + 7*i - 2. Let b be l(-8). Suppose 5*v - m + b*m = -30, -4*v = -5*m + 6. Let w = v + 8. Calculate the least common multiple of w and 3.
12
Let r(w) = 3*w**3 - 24*w**2 + 38*w. What is the lowest common multiple of 920 and r(6)?
2760
Let i = 248833/108 + -2304. Calculate the common denominator of -61/128 and i.
3456
Let c = -1032 + 459. Let y be (c/12 - 2) + (-12)/(-16). Calculate the lowest common multiple of 70 and (-115)/(-7) + 7/(y/3).
560
Let w = -13541395/11 + 1229990. Let x = w - -1051. Calculate the common denominator of ((-4)/(-6))/(70/(-555)) and x.
77
Let y(s) = 6*s + 41. Let a be y(-2). Suppose -20*t - 216 = -a*t. What is the smallest common multiple of t and 12?
24
Let o = 2327/1720 - 1/344. Calculate the common denominator of 11/1744 and o.
8720
Let p be (-4)/(-20)*(-122)/(-6). Let o = -583/30 - p. What is the common denominator of o and 149/36?
36
Suppose 0 = 64*t - 61*t - 9. What is the common denominator of 6524/(-2240) - t/(-5) and 41/18?
144
Let k = 7164 + -608961/85. Calculate the common denominator of -48/11 and k.
935
Let y(m) = m - 9*m**2 + 752 - 745 + m + m**3. Let j be y(10). Let r = j - 124. Calculate the smallest common multiple of r and 161.
483
Let b(a) = 2*a**2 - 6*a. Let k be b(-5). Suppose -2*m - 5*u = k, -4*u = 3*m - 2*m + 46. Calculate the smallest common multiple of (-6)/m + 34/5 and 2.
14
Suppose -35*x + 4986 + 28457 + 157 = 0. What is the least common multiple of x and 1248?
12480
Let f = 42784673908/987 + -303499452/7. Let m = 8864 + f. Let q = 1593/188 + m. Calculate the common denominator of -81/16 and q.
48
Suppose -4*v + 1060 = -0*h + 4*h, -4*v + 1081 = -3*h. Let w = v - 133. What is the common denominator of -41/19 and 6/w*3*282/(-8)?
190
Calculate the common denominator of 861/(-49)*(-1)/30 and (-18)/63 + (-1065)/126 + 7.
210
Suppose -7*z + 3678 = -1614. Let u = z - 2991. What is the common denominator of 39/14 and (1/27)/(10/u)?
126
Let g be -2*-2*(-21)/(-28). Suppose 0 = 5*s + g*y - 19, 4*s + y = -2*y + 17. Let x = 1 - 0. What is the least common multiple of x and s?
2
Let v = -10115 - -10139. What is the lowest common multiple of v and 3345?
26760
Let n = -160 - -158. Find the common denominator of (n - -5) + 52*12/(-90) and 61/25.
75
Let h(o) = 8*o**2 + 8*o - 3. Let y be h(2). Let d be ((-1607)/(-109))/((-363)/y - 1). Let t = d - -2/1853. Calculate the common denominator of -2/13 and t.
104
Let y be (-99)/66 + (-39182)/4. Let z = -215441/22 - y. Find the common denominator of z and -83/10.
110
Suppose -58 = -5*v - 30*w + 33*w, -5*v + 4*w = -59. Suppose v*c = -43 + 142. Calculate the smallest common multiple of c and 3.
9
Let y(d) = d**3 - 6*d**2 - 17*d - 2. Let a be y(9). Let p = 94 - a. Calculate the least common multiple of p and 33.
66
What is the common denominator of 28/(-4) - (-79476)/10730 and -121/1740?
1740
Let u = 320 + -829. Let v = 519 + u. Let b(j) = -17*j**3 + 2*j**2 + 3*j + 2. Calculate the least common multiple of v and b(-2).
140
Let n = 30640771/41235984 + -1/286361. What is the common denominator of n and 67/954?
7632
Let c(z) = 2*z**3 + 3*z**2 + 4*z + 7. Let x be c(-3). Let j = 36 + x. Suppose 8 = -j*t + 88. What is the lowest common multiple of t and 28?
140
Suppose 21*l = 12*l - 72. Find the common denominator of -19/42 and ((-3)/462)/(l/(-384)).
462
Let t be (-7)/(-63) - 78/(-27). Suppose -t*f + 7*f - 180 = -4*z, 3*z = 5*f - 225. What is the lowest common multiple of 63 and f?
315
Let t be 3*(-2)/((-12)/(-10)) - -263. Suppose t*j = 287*j - 232. Let s = -7 - -21. Calculate the lowest common multiple of j and s.
56
Suppose 171 = -6*w + 3*w. Let u = w + 60. What is the common denominator of 101/6 and 2/(-6) + u/252*-146?
42
Suppose -106 = 5*o - 126. Suppose -28*v - n + 10 = -25*v, o*v + n = 14. Calculate the least common multiple of 11 and v.
44
Let a = -29305/11 + 2661. Let p = -403/77 - a. What is the common denominator of p and ((-1)/(-14))/((-4)/472) + 7?
7
Suppose -160*y + 4846 + 914 = 0. Calculate the lowest common multiple of y and 384.
1152
Suppose -71*h + 14 = -72*h. Let v = 434/9 - 403/9. Calculate the common denominator of v and h/49 - (-3988)/336.
36
Let d be -39 - -39 - (2 + -164)/3. Suppose -p + d*p = 742. Calculate the lowest common multiple of p and (2/1)/((-2)/(-22)).
154
Suppose -4*x + 15 + 49 = 0. Suppose x*w = 12*w + 60. Find the common denominator of -29 and (-1)/w*2034/(-12).
10
Let n = -59 - 23. Let v = n + 320/3. Calculate the common denominator of -5/33 and v.
33
Let f = 91 - 87. Suppose -w - f*w + 3*p + 90 = 0, 68 = 3*w + p. What is the smallest common multiple of 6 and w?
42
Suppose -d - 39 = -3*y, 36*y = 34*y + 4*d + 36. Suppose x + 4*x - 45 = 0. Calculate the lowest common multiple of y and x.
36
Let c(q) = q**2 - 9*q + 28. Let n be c(12). Calculate the lowest common multiple of 9 and 632/n + (-2)/(-16).
90
Let l be -1 - (911/(-2) + 5/(-10)). What is the common denominator of -20/3 and ((-2)/(-15))/((-208)/l)?
24
Let m(f) = -f - 7. Let g be m(-3). Let i be 4 + g + 364780/48. Let p = i + -7606. Find the common denominator of -103/10 and p.
60
Calculate the common denominator of -5/3819 and ((-27)/(-72))/(-38*(-15)/340).
15276
Let a be (2/20)/((-88)/(-880)). Let o(j) = 32*j**2 + 2*j - 6. Let g be o(6). What is the common denominator of -107/12 and g/(-144) + (a - -3)?
24
Let f be 252/(-28) + 8*106. Let l = 1072 - f. What is the lowest common multiple of 9 and l?
2097
Let d = 0 - -1. Suppose b - 68 = -5*c, 4*c = 684*b - 689*b + 172. What is the lowest common multiple of b and 12/(d/1 + 0)?
84
What is the common denominator of 9021/1953 - (-3)/(-7) and -55/6?
42
Suppose -14*l = -9*l - 5*z - 90, -5*l - 5*z = -140. Calculate the common denominator of 79/274 and (l/23)/((-3)/(-20)).
822
Let c be 8 + (-10948)/790 + 6. Let b = 5833/1580 - c. What is the common denominator of b and -91/4?
20
Let z be ((-12)/9)/4*-21. Let a = z + 33. Let n = -105877 + 105891. Calculate the lowest common multiple of a and n.
280
Let v be 1/(6 + 50/(-8)). What is the common denominator of ((-460)/112 - v)*119/(-2) and (-1274)/60 - 2/(-5)?
24
Let y = -399 + 409. What is the least common multiple of 71 - ((1 - 4) + 6)/1 and y?
340
Let i be (-184)/(-52)*2 + 1. Let l = i + -698/91. What is the common denominator of l and -1/143?
1001
Find the common denominator of (-1380)/(-552)*(2 + (-599)/285) and -5/252.
4788
Let l(r) be the third derivative of r**5/60 - r**4/4 + 19*r**3/2 - 60*r**2. Calculate the lowest common multiple of l(0) and 30.
570
Find the common denominator of (6/40)/(45/(-66)) and (-92)/(-20)*((-306)/63 + 5).
350
Let u = -27 + 47. What is the smallest common multiple of u and 15633/(-193)*(-1)/(-3)*-2?
540
Calculate the common denominator of (-21)/(-7) + 1132/(-408) and -74/153.
306
Let u(w) = -6*w**2 + 49*w - 18. Let i be u(8). Calculate the least common multiple of 22 a