0. Calculate m.
-4, -2, -1/13
Factor -53*p**2/3 + 350*p/3 - 64.
-(p - 6)*(53*p - 32)/3
Factor -2*q**3/13 + 102*q**2 - 219120*q/13 - 220448/13.
-2*(q - 332)**2*(q + 1)/13
Determine v, given that 4*v**5/3 - 1436*v**4/3 - 1580*v**3/3 + 16628*v**2 + 61752*v + 60480 = 0.
-3, -2, 7, 360
Factor 3*d**3/2 - 3549*d**2/2 - 7107*d/2 - 3555/2.
3*(d - 1185)*(d + 1)**2/2
Factor -5*i**2 + 9365*i - 9360.
-5*(i - 1872)*(i - 1)
Factor t**3 + 14414*t**2 - 28831*t + 14416.
(t - 1)**2*(t + 14416)
Factor -8*u**3 + 23012*u**2 - 16554256*u + 8271376.
-4*(u - 1438)**2*(2*u - 1)
Let 8*i**5/13 - 984*i**4/13 + 40954*i**3/13 - 602552*i**2/13 + 1086138*i/13 - 523564/13 = 0. Calculate i.
1, 38, 83/2
Factor -i**2 + 10*i + 1575.
-(i - 45)*(i + 35)
Suppose 6*v**3 - 22124*v**2/5 - 33982*v/5 - 8868/5 = 0. Calculate v.
-6/5, -1/3, 739
Find u such that -u**2 + 1199*u - 138030 = 0.
129, 1070
Factor -a**2/2 - 5665*a/2.
-a*(a + 5665)/2
Solve t**2/7 + 899361*t/7 = 0 for t.
-899361, 0
Factor -3*z**3 + 801*z**2 + 7452*z.
-3*z*(z - 276)*(z + 9)
Find p such that -2*p**4/11 + 656*p**3/11 - 40780*p**2/11 - 12400*p + 3638250 = 0.
-27, 55, 245
Let 25*y**4/4 + 690*y**3 + 38363*y**2/2 + 7590*y + 3025/4 = 0. What is y?
-55, -1/5
Find i, given that -2*i**2/19 + 8472*i/19 - 16936/19 = 0.
2, 4234
Find o, given that -o**4 + 15*o**3 - 29*o**2 - 207*o - 162 = 0.
-2, -1, 9
Suppose 11*g**3/3 - 5204*g**2/3 - 10441*g/3 - 1742 = 0. Calculate g.
-1, 5226/11
Let 25*c**4 + 1205*c**3 - 12130*c**2 - 228680*c + 190080 = 0. Calculate c.
-54, -11, 4/5, 16
Let w**3 - 102*w**2 + 192*w + 800 = 0. What is w?
-2, 4, 100
Find i, given that 2*i**2/3 + 5398*i/3 - 174784/3 = 0.
-2731, 32
Factor -12*y**3 + 958*y**2 - 4340*y - 750.
-2*(y - 75)*(y - 5)*(6*y + 1)
Find c, given that -3*c**3/5 + 9*c**2 + 219*c/5 + 171/5 = 0.
-3, -1, 19
Factor -20*w**2 + 2852*w + 1144.
-4*(w - 143)*(5*w + 2)
Solve -5*a**5 + 755*a**4 + 3105*a**3 - 755*a**2 - 3100*a = 0 for a.
-4, -1, 0, 1, 155
Factor -v**3 + 31259*v**2 - 244265640*v - 244296900.
-(v - 15630)**2*(v + 1)
Factor 2*g**2 + 30092*g + 113191058.
2*(g + 7523)**2
Find p such that 2*p**2/21 + 692*p/21 + 1216 = 0.
-304, -42
Find y such that -2*y**3/5 - 3508*y**2/5 + 14058*y/5 - 10548/5 = 0.
-1758, 1, 3
Find o, given that o**5 + 12*o**4 - 127*o**3 + 142*o**2 + 492*o - 760 = 0.
-19, -2, 2, 5
Determine n, given that 4*n**5 + 376*n**4 + 5524*n**3 + 3664*n**2 - 22160*n - 20672 = 0.
-76, -17, -2, -1, 2
Determine u so that -2*u**3/7 - 54028*u**2/7 - 1187890*u/7 - 933152 = 0.
-26992, -11
Factor -3*k**2 + 1080444*k - 97279936428.
-3*(k - 180074)**2
Factor -5*u**3 - 24760*u**2 - 419835*u - 1776600.
-5*(u + 8)*(u + 9)*(u + 4935)
Suppose 3*t**2 + 15402*t + 19768467 = 0. What is t?
-2567
Factor -q**2/2 - 346267*q/2.
-q*(q + 346267)/2
Let -2*n**4/3 - 94*n**3 - 2458*n**2/3 + 7134*n + 7860 = 0. What is n?
-131, -15, -1, 6
Find g such that 2*g**4/13 + 4*g**3 + 94*g**2/13 - 4*g - 96/13 = 0.
-24, -2, -1, 1
Factor 5*y**2/4 - 1225*y/4 - 62205.
5*(y - 377)*(y + 132)/4
Find s, given that 5*s**2 + 1165*s - 190920 = 0.
-344, 111
Find n such that n**5/3 - 136*n**4 - 7262*n**3/3 + 5248*n**2 - 8075*n/3 = 0.
-19, 0, 1, 425
Factor 2*q**4/7 + 265780*q**3/7 + 1681906464*q**2 + 24836152017152*q + 49665576712192.
2*(q + 2)*(q + 44296)**3/7
Factor g**2 + 18*g - 1008.
(g - 24)*(g + 42)
Let -2*z**2 - 74*z + 720 = 0. Calculate z.
-45, 8
Suppose 38*c**5/9 + 1142*c**4/9 + 8458*c**3/9 - 4118*c**2/9 - 11480*c/3 - 200 = 0. What is c?
-15, -2, -1/19, 2
Factor 3*n**3/2 - 825*n**2 + 105648*n + 2177712.
3*(n - 284)**2*(n + 18)/2
Factor -4*z**4 + 29512*z**3 - 54523312*z**2 + 326078304*z.
-4*z*(z - 3686)**2*(z - 6)
What is y in 315*y**5 + 6*y**4 - 339*y**3 - 6*y**2 + 24*y = 0?
-1, -2/7, 0, 4/15, 1
What is j in 2*j**2/3 + 58072*j/3 + 421544648/3 = 0?
-14518
Factor q**4 - 224*q**3 + 13560*q**2 - 88192*q - 2471920.
(q - 106)**2*(q - 22)*(q + 10)
Factor -2*a**2/9 - 43418*a/9 + 695200/9.
-2*(a - 16)*(a + 21725)/9
Suppose 6*i**2 + 9137*i/2 - 2667 = 0. Calculate i.
-762, 7/12
Solve -f**2 + 142*f + 143 = 0 for f.
-1, 143
Let 8*r**5/5 + 88*r**4/5 + 138*r**3/5 - 592*r**2/5 - 70*r + 60 = 0. What is r?
-15/2, -5, -1, 1/2, 2
Let 4*u**5 - 152*u**4 + 1240*u**3 + 1552*u**2 - 1244*u - 1400 = 0. What is u?
-1, 1, 14, 25
Factor 2*z**3/7 + 874*z**2/7 + 4320*z/7.
2*z*(z + 5)*(z + 432)/7
Factor -v**5 - 3749*v**4 + 6*v**3 + 22486*v**2 - 29989*v + 11247.
-(v - 1)**3*(v + 3)*(v + 3749)
Suppose l**3 + 643*l**2 - 9213*l - 9855 = 0. What is l?
-657, -1, 15
Suppose -4*d**4 + 2428*d**3 - 9652*d**2 + 2388*d + 14472 = 0. Calculate d.
-1, 2, 3, 603
Solve 2*g**4/7 - 164*g**3/7 + 106*g**2 + 308*g = 0.
-2, 0, 7, 77
Let 2*r**2/3 + 2066*r/3 + 14168 = 0. Calculate r.
-1012, -21
Solve h**3/9 - 48064*h**2/9 + 577537024*h/9 = 0 for h.
0, 24032
Find z such that -164*z**2 - 21332*z - 21168 = 0.
-5292/41, -1
Suppose -3145*d**4/6 + 90*d**3 + 3385*d**2/2 + 3055*d/3 - 60 = 0. What is d?
-1, 2/37, 36/17
Find u, given that 2*u**2/7 + 11024*u/7 - 11026/7 = 0.
-5513, 1
Suppose -36*z**2 + 20445*z + 1704 = 0. What is z?
-1/12, 568
Determine t, given that t**2 - 13901*t - 41712 = 0.
-3, 13904
What is k in -2*k**5 - 922*k**4 - 105796*k**3 + 107644*k**2 + 105798*k - 106722 = 0?
-231, -1, 1
Factor -5*b**3 + 825*b**2 - 9280*b + 15300.
-5*(b - 153)*(b - 10)*(b - 2)
Suppose 3*h**3/4 - 10269*h**2/4 + 10260*h - 10257 = 0. What is h?
2, 3419
Factor n**2 + 183431*n + 366858.
(n + 2)*(n + 183429)
Suppose -2*a**4 + 1092*a**3 - 70186*a**2 - 218232*a - 146952 = 0. Calculate a.
-2, -1, 78, 471
Find w, given that 2*w**5/9 - 50*w**4/9 + 442*w**3/9 - 1654*w**2/9 + 284*w - 144 = 0.
1, 2, 4, 9
Factor -2*k**3 + 73906*k**2 - 73904*k.
-2*k*(k - 36952)*(k - 1)
Let 12*p**2 + 13084*p + 4360 = 0. What is p?
-1090, -1/3
Let -141*p**2 - 435*p - 306 = 0. What is p?
-2, -51/47
Factor r**2 + 581*r + 11220.
(r + 20)*(r + 561)
Factor j**3 + 7*j**2 - 4945*j - 146071.
(j - 79)*(j + 43)**2
Factor -5*x**2/3 - 2605*x/3 - 87680.
-5*(x + 137)*(x + 384)/3
Find f, given that 48*f**3 + 11823*f**2 + 741516*f + 1652124 = 0.
-122, -37/16
Solve -2*i**2/5 - 142092*i/5 - 2523767058/5 = 0 for i.
-35523
Factor -r**4/2 - 19*r**3/2 + 42*r**2 + 198*r.
-r*(r - 6)*(r + 3)*(r + 22)/2
Solve -2*i**2/5 + 6621772*i/5 - 5480983052498/5 = 0.
1655443
Determine g so that 4*g**4 + 4360*g**3 + 1192436*g**2 + 2354432*g - 3551232 = 0.
-544, -3, 1
Suppose -n**4/4 + 125793*n**3/4 - 3956158391*n**2/4 + 11866839915*n/4 + 3955781025 = 0. What is n?
-1, 4, 62895
Suppose -4*c**5/11 - 170*c**4/11 - 1312*c**3/11 + 3948*c**2/11 + 12132*c/11 - 21762/11 = 0. Calculate c.
-31, -13, -3, 3/2, 3
Let 3*w**4 - 78*w**3 + 429*w**2 + 1014*w - 3168 = 0. What is w?
-3, 2, 11, 16
Factor 3*q**3/5 + 585219*q**2/5.
3*q**2*(q + 195073)/5
Let -5*x**3 + 38700*x**2 + 116165*x - 154860 = 0. What is x?
-4, 1, 7743
Suppose 2*s**3 + 64*s**2 + 22*s - 1240 = 0. Calculate s.
-31, -5, 4
Find r, given that -5*r**4 - 380*r**3 - 9425*r**2 - 75690*r = 0.
-29, -18, 0
Suppose -u**5/6 + 11*u**4/6 + 213*u**3 + 2973*u**2 + 24705*u/2 + 31725/2 = 0. What is u?
-15, -3, 47
Solve 2*b**3 - 1714*b**2 = 0 for b.
0, 857
Factor -3*a**2/4 - 169143*a/4 + 84573/2.
-3*(a - 1)*(a + 56382)/4
Factor 4*s**2/7 - 25324*s/7 + 328536/7.
4*(s - 6318)*(s - 13)/7
Factor -u**2/6 - 23196*u - 807081624.
-(u + 69588)**2/6
Let a**2 + 225694*a = 0. What is a?
-225694, 0
Factor -5*u**3 + 133390*u**2 - 266745*u - 400140.
-5*(u - 26676)*(u - 3)*(u + 1)
Factor -a**4 + a**3 + 4*a**2 - 4*a.
-a*(a - 2)*(a - 1)*(a + 2)
Factor 2*a**2/3 - 1462*a/3 - 488.
2*(a - 732)*(a + 1)/3
Let y**5/2 + 751*y**4 + 746*y**3 - 6749*y**2 + 16507*y/2 - 3002 = 0. What is y?
-1501, -4, 1
Solve 2*t**5/9 + 74*t**4/3 + 5620*t**3/9 + 4200*t**2 + 8592*t + 4992 = 0.
-78, -24, -6, -2, -1
Solve 795*k**4 - 1585*k**3 - 3985*k**2 + 4745*k + 30 = 0 for k.
-2, -1/159, 1, 3
What is s in 5*s**4 + 50*s**3 + 75*s**2 - 50*s - 80 = 0?
-8, -2, -1, 1
Solve 4*l**5 - 256*l**3 - 1224*l**2 - 2052*l - 1080 = 0.
-3, -1, 10
Determine i, given that 2*i**2 + 4287976*i + 2298342272072 = 0.
-1071994
Determine f so that -f**2/6 - 3809*f - 43525443/2 = 0.
-11427
Solve -4*o**5 - 54*o**4 - 184*o**3 + 24*o**2 + 800*o + 768 = 0 for o.
-8, -4, -2, -3/2, 2
Let -2*v**5 + 258*v**4 - 6140*v**3 - 6660*v**2 + 6142*v + 6402 = 0. What is v?
-1, 1, 33, 97
Let -y**4 - 890*y**3 + 4483*y**2 + 7112*y - 42960 = 0. Wh