or -386*s**3/11 + 256*s**2/11 + 646*s/11 - 516/11.
-2*(s - 1)**2*(193*s + 258)/11
Suppose -212*t**4 + 9768*t**3 + 112*t**2 - 39072*t + 2944 = 0. What is t?
-2, 4/53, 2, 46
Factor 450*s**4 - 7316*s**3 + 30656*s**2 - 7424*s.
2*s*(s - 8)**2*(225*s - 58)
Find v such that -5*v**3 - 255*v**2 + 6750*v + 7000 = 0.
-70, -1, 20
Determine c, given that 5*c**5 + 12510*c**4 + 10408165*c**3 + 2858396860*c**2 - 17601695760*c - 20449696960 = 0.
-836, -1, 7
Factor 2*b**3/9 + 18380*b**2/9 + 14069888*b/3 - 9388096.
2*(b - 2)*(b + 4596)**2/9
Suppose -5*c**3 + 4135*c**2 - 840255*c - 6086115 = 0. Calculate c.
-7, 417
Factor -5*n**3 + 250*n**2 + 16915*n - 17160.
-5*(n - 88)*(n - 1)*(n + 39)
Solve 7*n**5 + 8930*n**4 + 24202*n**3 + 19096*n**2 + 1271*n - 2546 = 0 for n.
-1273, -1, 2/7
Factor -2*o**2 - 1276*o + 52806.
-2*(o - 39)*(o + 677)
Suppose -5*s**2 - 1410*s + 326915 = 0. Calculate s.
-433, 151
Factor 3*i**3/4 + 1434*i**2 + 11463*i/4 + 2865/2.
3*(i + 1)**2*(i + 1910)/4
Factor 335*c**2/4 + 6615*c/4 - 25875/2.
5*(c - 6)*(67*c + 1725)/4
Solve -3*f**2 + 44199*f + 265302 = 0.
-6, 14739
Factor -b**3/8 - 1717*b**2/2 + 179075*b/8 - 582543/4.
-(b - 13)**2*(b + 6894)/8
Factor 76*f**2 + 966*f + 1430.
2*(f + 11)*(38*f + 65)
Determine v, given that -3*v**5 - 1515*v**4 - 107847*v**3 - 314481*v**2 - 311466*v - 103320 = 0.
-420, -82, -1
Suppose -g**2 - 111*g + 342 = 0. Calculate g.
-114, 3
Factor -5380*q**3 + 2141264*q**2 - 213062932*q + 950424.
-4*(q - 199)**2*(1345*q - 6)
Factor -p**2/4 - 927*p/2.
-p*(p + 1854)/4
Factor -2*k**2/3 - 2596*k/3 - 122402/3.
-2*(k + 49)*(k + 1249)/3
Factor 22144*r**5 - 4704*r**4 - 4776*r**3 + 1886*r**2 - 186*r.
2*r*(4*r - 1)**3*(173*r + 93)
Factor -316*c**3/3 + 1312*c**2/3 + 1549*c/3 + 407/3.
-(2*c + 1)**2*(79*c - 407)/3
What is q in -q**3 + 126*q**2 + 3427*q = 0?
-23, 0, 149
What is b in -5*b**4 + 585*b**3 - 22290*b**2 + 267520*b + 290400 = 0?
-1, 30, 44
Solve 2*p**2/7 + 9790*p/7 - 147300/7 = 0 for p.
-4910, 15
Solve 5*u**5 + 205*u**4 + 2450*u**3 + 5580*u**2 - 22680*u = 0.
-18, -7, 0, 2
Determine b so that 7*b**5 + 1075*b**4 - 1635*b**3 - 13135*b**2 + 6248*b + 7440 = 0.
-155, -3, -4/7, 1, 4
Find z such that 2116*z**4 - 43516*z**3 - 398352*z**2 + 599040*z + 6220800 = 0.
-120/23, 4, 27
Factor -2*i**3/7 - 1954*i**2/7 + 2820*i.
-2*i*(i - 10)*(i + 987)/7
What is l in 18*l**3/7 - 1258*l**2/7 + 16472*l/7 - 2176 = 0?
1, 16, 476/9
Factor l**4/6 - 15659*l**3/6 - 15663*l**2 - 93986*l/3 - 62660/3.
(l - 15665)*(l + 2)**3/6
Determine i, given that 25341156*i**5 + 8145012*i**4 - 14178200*i**3 + 2983784*i**2 - 34060*i + 100 = 0.
-1, 5/839, 1/3
Find y such that 3*y**5 + 63*y**4 + 378*y**3 + 930*y**2 + 963*y + 351 = 0.
-13, -3, -1
Solve 2*u**4 + 1292*u**3/9 + 1778*u**2 + 47680*u/9 - 3800/3 = 0.
-57, -10, -5, 2/9
Suppose -4*q**2 + 13960*q - 83616 = 0. Calculate q.
6, 3484
Determine f so that -14*f**4 - 24*f**3 + 206*f**2 + 576*f + 360 = 0.
-3, -2, -1, 30/7
Factor -10*u**4 + 10428*u**3 - 41688*u**2/5 + 8336*u/5.
-2*u*(u - 1042)*(5*u - 2)**2/5
Factor 571*q**3/2 + 1141*q**2 + 1138*q - 4.
(q + 2)**2*(571*q - 2)/2
Let 3*x**2/2 - 861*x/2 + 1278 = 0. Calculate x.
3, 284
Solve i**2 + 96*i - 4096 = 0 for i.
-128, 32
Factor 2*v**2/9 - 94768*v/9 + 1122621728/9.
2*(v - 23692)**2/9
Factor 2*y**2/13 + 40304*y/13 - 80616/13.
2*(y - 2)*(y + 20154)/13
Determine l so that -l**3/2 - 51235*l**2/2 + 230598*l = 0.
-51244, 0, 9
Suppose -8*n**5/5 + 13954*n**4/5 - 1222880*n**3 + 25804208*n**2/5 - 6057984*n + 1211040 = 0. Calculate n.
1/4, 2, 870
Factor -3*h**3 + 192*h**2 - 2964*h.
-3*h*(h - 38)*(h - 26)
Let 4*u**5 - 556*u**4 - 66232*u**3 - 64544*u**2 + 131328*u = 0. What is u?
-76, -2, 0, 1, 216
Suppose -g**3 + 194*g**2 - 9048*g = 0. What is g?
0, 78, 116
Solve -p**3 + 3195*p**2 - 2765112*p + 333000668 = 0 for p.
143, 1526
Suppose -2*k**3/5 + 154*k**2/5 + 164*k = 0. What is k?
-5, 0, 82
Let 4*w**4 - 72*w**3 - 332*w**2 - 432*w - 176 = 0. Calculate w.
-2, -1, 22
Determine f, given that 3*f**2 - 3645*f - 10962 = 0.
-3, 1218
Factor -3*b**3 - 9120*b**2 + 45693*b + 54810.
-3*(b - 6)*(b + 1)*(b + 3045)
Factor -3*d**2/5 + 1618266*d/5 - 218232070563/5.
-3*(d - 269711)**2/5
Let -11*v**3/2 - 40*v**2 - 7*v/2 + 49 = 0. What is v?
-7, -14/11, 1
Find s such that s**3 - 1077*s**2 + 23322*s - 118160 = 0.
8, 14, 1055
Factor -h**3/2 + 12992*h**2 + 25985*h/2.
-h*(h - 25985)*(h + 1)/2
Factor -5*x**5 + 31550*x**4 + 189480*x**3.
-5*x**3*(x - 6316)*(x + 6)
What is d in 3*d**3/2 - 345*d**2/2 - 28899*d/2 + 29241/2 = 0?
-57, 1, 171
Suppose -k**4/3 - 125*k**3/3 - 3419*k**2/3 + 24545*k/3 - 7000 = 0. What is k?
-75, -56, 1, 5
Let -n**3/4 - 15334*n**2 - 235223533*n - 2820474732 = 0. What is n?
-30662, -12
Let -8*f**3 - 797*f**2 + 2772*f - 927 = 0. What is f?
-103, 3/8, 3
Determine z so that 3*z**3 - 5271*z**2 + 2354313*z - 34138845 = 0.
15, 871
Factor -512811135*u**2 + 70164*u - 12/5.
-3*(29235*u - 2)**2/5
Solve -3*b**2 + 39987*b - 159900 = 0 for b.
4, 13325
Solve -3*k**5/8 + 123*k**4/8 + 405*k**3/8 - 363*k**2/8 - 717*k/4 - 99 = 0 for k.
-3, -1, 2, 44
Solve -y**5/7 + 6*y**4 - 325*y**3/7 - 540*y**2/7 + 188*y + 1488/7 = 0.
-2, -1, 2, 12, 31
What is j in -2*j**2/7 + 1106832*j/7 - 153134634528/7 = 0?
276708
Factor 5*k**4 - 120*k**3 + 700*k**2 + 480*k - 2880.
5*(k - 12)**2*(k - 2)*(k + 2)
Factor -25*v**3 + 557390*v**2 - 3106724640*v - 1242779040.
-5*(v - 11148)**2*(5*v + 2)
Factor 3*n**4 - 1137*n**3 - 1146*n**2 + 2280*n.
3*n*(n - 380)*(n - 1)*(n + 2)
Factor -l**3/5 - 15*l**2 - 188*l/5 + 2016/5.
-(l - 4)*(l + 7)*(l + 72)/5
Factor 7*s**2/4 - 13385*s/4 + 478.
(s - 1912)*(7*s - 1)/4
Suppose -20*o**5 - 625*o**4 - 6755*o**3 - 27650*o**2 - 26500*o - 5000 = 0. Calculate o.
-10, -1, -1/4
Solve 4*i**2 - 71120*i + 316128400 = 0 for i.
8890
Suppose 3*p**4 - 111*p**3 - 363*p**2 + 111*p + 360 = 0. Calculate p.
-3, -1, 1, 40
Solve 858*y**2/5 + 166*y/5 + 8/5 = 0 for y.
-4/39, -1/11
Factor -4*n**2/9 - 9800*n/9.
-4*n*(n + 2450)/9
Solve p**4/2 - 259*p**3/2 + 7697*p**2/2 - 54221*p/2 + 23391 = 0 for p.
1, 9, 23, 226
What is t in 2*t**3 + 4430*t**2 + 2464150*t + 12210250 = 0?
-1105, -5
Factor o**4/3 + 9*o**3 + 47*o**2/3 - 25*o.
o*(o - 1)*(o + 3)*(o + 25)/3
Find q, given that 20*q**5 - 3435*q**4 + 41125*q**3 - 92520*q**2 + 47700*q = 0.
0, 3/4, 2, 10, 159
Find z, given that -z**5 + 307*z**4/3 - 3335*z**3 + 98305*z**2/3 + 66816*z - 77372/3 = 0.
-2, 1/3, 29, 46
Factor -d**4/2 - 23689*d**3/2 - 140280335*d**2/2 + 140304025*d/2.
-d*(d - 1)*(d + 11845)**2/2
Factor 2*r**3/7 - 20008*r**2/7 + 598890*r/7 - 4488300/7.
2*(r - 9974)*(r - 15)**2/7
Factor -5*t**3 - 37860*t**2 + 3360720*t - 74148800.
-5*(t - 44)**2*(t + 7660)
Factor -18*z**3/5 - 112764*z**2/5 + 150376*z/5 - 50128/5.
-2*(z + 6266)*(3*z - 2)**2/5
Factor 2294366185452*n**2/7 - 5247132*n/7 + 3/7.
3*(874522*n - 1)**2/7
Factor -232*x**2 - 1612*x + 84.
-4*(x + 7)*(58*x - 3)
Find a such that -2*a**3 + 169*a**2/2 + 129*a/2 = 0.
-3/4, 0, 43
Let -2*j**2/5 - 10314*j/5 = 0. Calculate j.
-5157, 0
What is n in -5*n**4 - 100129*n**3 - 80089*n**2 + 220273*n - 40050 = 0?
-20025, -2, 1/5, 1
Find l such that -4*l**3 + 10512*l**2 - 6895860*l - 13833800 = 0.
-2, 1315
What is x in 12*x**3 + 237*x**2 - 6360*x + 1575 = 0?
-35, 1/4, 15
Let -4*h**4 - 3500*h**3 - 749664*h**2 + 7004816*h - 6251648 = 0. Calculate h.
-442, 1, 8
Find d such that -3*d**4 - 5250*d**3 - 2216100*d**2 + 71289000*d = 0.
-890, 0, 30
Factor -b**3/3 + 403*b**2/3 + 416*b/3 - 1616.
-(b - 404)*(b - 3)*(b + 4)/3
Factor 2*r**2/7 - 149028*r/7 + 149026/7.
2*(r - 74513)*(r - 1)/7
Solve -i**3/6 + 3209*i**2/6 + 45220*i/3 + 105742 = 0.
-14, 3237
Let 2*j**4/7 + 60*j**3/7 - 750*j**2/7 + 2000*j/7 = 0. Calculate j.
-40, 0, 5
Factor d**2 - 12669*d.
d*(d - 12669)
Factor -2*p**2 - 282*p + 5372.
-2*(p - 17)*(p + 158)
Factor -2*d**4 + 80*d**3 + 1304*d**2 - 2912*d.
-2*d*(d - 52)*(d - 2)*(d + 14)
Let -2*t**4/5 - 52558*t**3/5 - 345214074*t**2/5 + 1036010158*t/5 - 690743524/5 = 0. What is t?
-13141, 1, 2
Factor -z**4/4 - 253*z**3/2 - 22698*z**2 - 1642680*z - 36065952.
-(z + 38)*(z + 156)**3/4
Factor 4*n**2/9 - 4468*n/9 + 61768/9.
4*(n - 1103)*(n - 14)/9
Let -5*m**2/2 - 33000*m - 65995/2 = 0. What is m?
-13199, -1
Solve 5*k**3 - 293335*k**2 - 1173400*k - 1173420 = 0 for k.
-2, 58671
Factor 2*p**2/17 - 158*p/17 + 156/17.
2*(p - 78)*(p - 1)/17
Suppose -5*j**4 + 5*j**3 + 170*j**2