97*r**2 + 54172*r - 21668 = 0.
-2, 1/3, 10834
Determine t so that -2*t**5 - 202*t**4 - 958*t**3 + 202*t**2 + 960*t = 0.
-96, -5, -1, 0, 1
Find g such that -g**5/2 - 393*g**4 + 47209*g**3/2 + 23997*g**2 = 0.
-842, -1, 0, 57
Factor -h**2/5 - 66716*h - 5563780820.
-(h + 166790)**2/5
Factor 5*v**4 + 350*v**3 + 1260*v**2 - 3960*v.
5*v*(v - 2)*(v + 6)*(v + 66)
Suppose p**2 - 15710*p - 31424 = 0. What is p?
-2, 15712
Suppose -3*g**3/7 - 54879*g**2/7 + 109770*g/7 = 0. Calculate g.
-18295, 0, 2
Factor -26*r**2/19 + 30996*r/19 - 1630.
-2*(r - 1)*(13*r - 15485)/19
What is o in -20055*o**2 - 40085*o + 50 = 0?
-2, 5/4011
Let -9*n**2/4 + 10785*n/4 - 3591 = 0. Calculate n.
4/3, 1197
What is z in -3*z**3 - 35856*z**2 - 107173575*z - 214203750 = 0?
-5975, -2
Solve -r**3 - 843*r**2 - 183816*r - 2570940 = 0.
-414, -15
Factor -5*t**2/3 - 33270*t + 99825.
-5*(t - 3)*(t + 19965)/3
Solve -8*s**4/3 - 15346*s**3/3 - 19156*s**2/3 + 26842*s/3 + 2556 = 0 for s.
-1917, -2, -1/4, 1
Factor 4*o**3 - 1313468*o**2 + 107824229952*o + 107825543424.
4*(o - 164184)**2*(o + 1)
Determine f so that -2*f**4 - 32*f**3 - 154*f**2 - 196*f = 0.
-7, -2, 0
Factor -2*b**2/17 - 118*b - 7992/17.
-2*(b + 4)*(b + 999)/17
Find p, given that -3*p**2 + 32925*p - 1115982 = 0.
34, 10941
Determine q, given that 4*q**5/9 - 860*q**4/3 - 8728*q**3/3 - 11152*q**2/9 + 146336*q/3 + 83840 = 0.
-6, -2, 4, 655
Factor -q**2/6 - 25283*q/6 - 12641/3.
-(q + 1)*(q + 25282)/6
Suppose 4*a**3/3 + 20*a**2 - 200*a - 4000/3 = 0. Calculate a.
-20, -5, 10
Let 4*c**4 + 2668*c**3 - 10716*c**2 + 13412*c - 5368 = 0. What is c?
-671, 1, 2
Solve -5*b**5 - 60*b**4 + 220*b**3 + 4320*b**2 + 6400*b - 30720 = 0 for b.
-8, -6, 2, 8
Factor -2*j**2 - 82*j + 11172.
-2*(j - 57)*(j + 98)
Find r, given that -4*r**2/5 - 579720*r - 105023524500 = 0.
-362325
Solve -k**2/6 - 107*k - 641/6 = 0.
-641, -1
Factor q**4 + 2968*q**3 + 2910168*q**2 + 916323680*q - 25844311792.
(q - 26)*(q + 998)**3
Find a such that -5*a**5/6 - 9*a**4/2 + 2165*a**3/6 + 3965*a**2/2 + 2940*a + 882 = 0.
-21, -3, -2, -2/5, 21
Find z, given that z**5/4 - 26181*z**4/4 + 42843569*z**3 - 42810844*z**2 - 171374280*z + 171348100 = 0.
-2, 1, 2, 13090
Factor -3*o**3/5 + 288*o**2/5 - 7452*o/5 + 11664.
-3*(o - 60)*(o - 18)**2/5
Find i, given that i**2 + 1667*i - 68280 = 0.
-1707, 40
Factor 3*j**2 + 4668*j + 947520.
3*(j + 240)*(j + 1316)
Determine y, given that 23*y**4/5 - 310083*y**3/5 + 1393486038*y**2/5 - 2087320908708*y/5 - 272282957352/5 = 0.
-3/23, 4494
Find g such that 21*g**2 - 995*g + 2250 = 0.
50/21, 45
What is d in d**3/12 - 151*d**2/12 - 7373*d/6 - 23870/3 = 0?
-62, -7, 220
Let 4*t**4 - 9604*t**3 + 7963764*t**2 - 2486081644*t + 170988484984 = 0. What is t?
94, 769
Factor -3*k**5 - 52134*k**4 + 104277*k**3 - 52140*k**2.
-3*k**2*(k - 1)**2*(k + 17380)
What is l in -l**2/3 + 3205*l - 19218 = 0?
6, 9609
Factor 5*q**2 - 543050*q + 14745165125.
5*(q - 54305)**2
Factor -206*b**3/13 + 313948*b**2/13 - 119618760*b/13 + 2322576/13.
-2*(b - 762)**2*(103*b - 2)/13
Solve x**3/3 + 61*x**2 - 6640*x/3 + 17200 = 0.
-215, 12, 20
Factor -2*y**2/7 + 17810*y/7 - 35612/7.
-2*(y - 8903)*(y - 2)/7
Determine o so that -3*o**4/5 + 531*o**3/5 - 17553*o**2/5 - 531*o/5 + 17556/5 = 0.
-1, 1, 44, 133
Find i, given that 55*i**3 - 4720*i**2 - 47885*i - 8550 = 0.
-9, -2/11, 95
Factor -3*o**2/4 - 46461*o.
-3*o*(o + 61948)/4
Factor 370230125*z**2 - 172100*z + 20.
5*(8605*z - 2)**2
Solve -m**3/7 + 1823*m**2/7 - 826256*m/7 - 4176980/7 = 0 for m.
-5, 914
Factor s**2/4 - 588*s + 36608.
(s - 2288)*(s - 64)/4
Factor 5*c**2/3 + 97465*c/3 + 551820.
5*(c + 17)*(c + 19476)/3
Find s such that -5*s**4 + 5555*s**3 - 1904345*s**2 + 186654945*s + 188564850 = 0.
-1, 170, 471
Suppose -v**5/2 - 829*v**4/2 - 86928*v**3 - 421040*v**2 + 698752*v + 4073856 = 0. What is v?
-412, -4, 3
Factor -9025*l**3/4 + 230185*l**2 - 19381*l/4 + 51/2.
-(l - 102)*(95*l - 1)**2/4
Factor 2*t**2 - 704*t - 229896.
2*(t - 558)*(t + 206)
Factor 25*d**4 + 160*d**3 - 900*d**2.
5*d**2*(d + 10)*(5*d - 18)
Suppose -5*s**4 + 465*s**3 - 4310*s**2 + 13440*s - 13280 = 0. Calculate s.
2, 4, 83
What is m in 33*m**3/4 + 1239*m**2/4 - 7650*m = 0?
-600/11, 0, 17
Suppose -8*a**4/3 - 370*a**3/3 + 932*a**2/3 + 147712*a/3 + 12288 = 0. Calculate a.
-32, -1/4, 18
Let -4*d**3 - 224*d**2 + 1420*d + 12200 = 0. What is d?
-61, -5, 10
Find c, given that 2*c**2/7 + 1243540*c/7 + 193298966450/7 = 0.
-310885
Factor 7458361*r**2/4 + 8193*r + 9.
(2731*r + 6)**2/4
Find u, given that -5*u**2 - 13110*u - 8593605 = 0.
-1311
Solve 5*x**3 - 131790*x**2 + 868561980*x - 1736596840 = 0 for x.
2, 13178
Solve -3*h**3 + 2304*h**2 - 9180*h + 9168 = 0.
2, 764
Factor -2*k**2 + 30988*k - 495296.
-2*(k - 15478)*(k - 16)
Factor -g**2/2 - 16111*g/2.
-g*(g + 16111)/2
Factor 2*z**4/9 - 1170496*z**3/9 + 57085480084*z**2/3 + 342516392000*z/9 + 171258781250/9.
2*(z - 292625)**2*(z + 1)**2/9
Solve -25600*b**5/3 - 4480*b**4/3 + 26044*b**3/3 + 4471*b**2/3 - 148*b + 3 = 0 for b.
-1, -1/4, 3/80, 1
Suppose 5*g**3 + 38065*g**2 - 76145*g + 38075 = 0. Calculate g.
-7615, 1
Factor -2*n**5/5 - 856*n**4/5 + 516*n**3 - 2584*n**2/5 + 862*n/5.
-2*n*(n - 1)**3*(n + 431)/5
Find q such that 2*q**3 - 976*q**2/5 - 78392*q/5 - 6240 = 0.
-52, -2/5, 150
Factor -9*m**2 + 200091*m/2 - 233415/2.
-3*(m - 11115)*(6*m - 7)/2
Let -w**2/3 - 23*w/3 + 376 = 0. Calculate w.
-47, 24
Factor 2*q**2 + 21546*q + 129204.
2*(q + 6)*(q + 10767)
Let -x**4/5 - 86*x**3 + 1736*x**2/5 = 0. Calculate x.
-434, 0, 4
Factor 3*w**4 - 5207*w**3 + 13868*w**2 - 6932*w.
w*(w - 1733)*(w - 2)*(3*w - 2)
Suppose g**2 + 14750*g - 14751 = 0. Calculate g.
-14751, 1
Determine c, given that 39*c**4 - 45*c**3 - 633*c**2 + 801*c + 1350 = 0.
-50/13, -1, 3
Let -p**2/6 + 189686*p/3 - 17990389298/3 = 0. What is p?
189686
Find v such that 3*v**2/7 + 729*v/7 - 7590/7 = 0.
-253, 10
What is i in 5*i**2 - 2765*i + 173160 = 0?
72, 481
Factor k**3 - 4923*k**2 + 137256*k - 959420.
(k - 4895)*(k - 14)**2
Factor 6*t**5 - 7*t**4 - 5*t**3 + 7*t**2 - t.
t*(t - 1)**2*(t + 1)*(6*t - 1)
Factor 2*h**4/7 + 3832*h**3/7 + 1099496*h**2/7 - 705118656*h/7 + 67717888128/7.
2*(h - 164)**2*(h + 1122)**2/7
Suppose 3*c**3 - 564*c**2 + 28119*c - 149058 = 0. Calculate c.
6, 91
Factor -2*r**4/7 + 36*r**3/7 - 202*r**2/7 + 360*r/7.
-2*r*(r - 9)*(r - 5)*(r - 4)/7
Solve -141764298256*z**3 - 141762792192*z**2 + 1506060*z - 4 = 0 for z.
-1, 1/188258
Determine r so that 2*r**4 - 354*r**3 - 4100*r**2 - 6768*r = 0.
-9, -2, 0, 188
Factor -l**2 + 93312*l - 93311.
-(l - 93311)*(l - 1)
Factor m**2/3 + 33874*m/3 + 286861969/3.
(m + 16937)**2/3
Factor 196*r**3 - 767368*r**2 + 876800*r - 250496.
4*(r - 3914)*(7*r - 4)**2
Factor -2*o**2/3 - 17012*o/3 - 5670.
-2*(o + 1)*(o + 8505)/3
Factor 3*u**4/5 - 279*u**3/5 + 798*u**2/5 + 216*u.
3*u*(u - 90)*(u - 4)*(u + 1)/5
Factor 2*o**2 + 5736*o - 22976.
2*(o - 4)*(o + 2872)
Factor c**3/7 - 1723*c**2/7 + 6855*c/7 + 5157.
(c - 1719)*(c - 7)*(c + 3)/7
Factor -3*g**3 - 1452*g**2 - 10053*g - 17172.
-3*(g + 3)*(g + 4)*(g + 477)
Suppose n**2/2 - 105*n/2 + 637 = 0. What is n?
14, 91
Let 2*h**4/3 + 220*h**3/3 + 1974*h**2 = 0. What is h?
-63, -47, 0
Find x such that x**3 - 746*x**2 + 10296*x - 35136 = 0.
6, 8, 732
Factor -3*u**3/2 + 51852*u**2 - 896106255*u/2 - 896313675.
-3*(u - 17285)**2*(u + 2)/2
Determine m, given that -12*m**3 - 52*m**2 - 8*m + 32 = 0.
-4, -1, 2/3
Factor -4*w**2 - 3472*w - 753424.
-4*(w + 434)**2
Solve -2*w**5/5 + 8*w**4/5 + 68*w**3/5 - 8*w**2/5 - 42*w + 144/5 = 0 for w.
-3, 1, 8
Let 5*n**5 - 5340*n**4 - 21430*n**3 - 10740*n**2 + 21425*n + 16080 = 0. What is n?
-3, -1, 1, 1072
Solve 5*i**3 - 72810*i**2 - 291345*i + 364150 = 0 for i.
-5, 1, 14566
Factor -736898*u**2/7 - 12819840*u/7 - 55756800/7.
-2*(607*u + 5280)**2/7
Determine q so that 4*q**2 + 8164*q = 0.
-2041, 0
What is s in -4*s**3/3 - 2660*s**2/3 - 27216*s - 131664 = 0?
-633, -26, -6
Factor 5*k**3/3 - 23305*k**2/3 + 93040*k - 278940.
5*(k - 4649)*(k - 6)**2/3
What is r in r**4 + 48*r**3 - 257*r**2 + 420*r - 212 = 0?
-53, 1, 2
Find u such that u**5 - 22*u**4 + 59*u**3 - 38*u**2 = 0.
0, 1, 2, 19
Factor -s**4/6 + 115*s**3/6 + 399*s**2.
-s**2*(s - 133)*(s + 18)/6
Find z such that 3*z**2 + 1562526*z + 203457291723 = 0.
-260421
Factor 2*m**3/23 - 7508*m**2/23 + 7506*m/23.
2*m*(m - 3753)*(m - 1)/23
Find x, given 