
Find b such that b**4/2 + 1239*b**3/2 + 186551*b**2 - 3308304*b + 13803440 = 0.
-628, 7, 10
Solve 56*q**5/3 - 598*q**4/15 - 5812*q**3/15 - 4226*q**2/15 + 284*q/5 + 48/5 = 0 for q.
-3, -1, -4/35, 1/4, 6
Factor 2*j**3/5 + 72*j**2 + 4104*j/5 + 12096/5.
2*(j + 6)**2*(j + 168)/5
Find s such that -5*s**3 - 103860*s**2 + 727215*s - 1038950 = 0.
-20779, 2, 5
Factor -2*o**2 + 208342*o - 208340.
-2*(o - 104170)*(o - 1)
Let 4*k**3 + 59820*k**2 - 239328*k + 239344 = 0. Calculate k.
-14959, 2
Factor 5*u**2/3 - 1900*u + 5695/3.
5*(u - 1139)*(u - 1)/3
Find i, given that -162*i**3/13 + 211158*i**2/13 - 93824*i/13 + 10424/13 = 0.
2/9, 1303
Let 3*s**2 + 142*s - 400 = 0. Calculate s.
-50, 8/3
What is a in -5*a**5 + 125*a**4 - 1030*a**3 + 3160*a**2 - 1440*a - 5760 = 0?
-1, 4, 6, 12
Let -2*y**2/9 - 944*y/3 - 942 = 0. Calculate y.
-1413, -3
Let 4*p**4 - 5088*p**3 - 481896*p**2 + 1335523680*p + 275593500900 = 0. What is p?
-285, 921
Factor 4*w**3 + 1904*w**2 + 36480*w.
4*w*(w + 20)*(w + 456)
Let -2*r**2 + 17636*r - 17634 = 0. What is r?
1, 8817
Factor -t**4 - 5258*t**3 - 6916896*t**2 - 13812768*t.
-t*(t + 2)*(t + 2628)**2
Suppose -3*x**3 - 2331*x**2 - 27540*x = 0. Calculate x.
-765, -12, 0
Factor 2*g**2 + 442*g + 15576.
2*(g + 44)*(g + 177)
Find l such that -5*l**5 + 34215*l**4 + 34235*l**3 - 102655*l**2 - 34230*l + 68440 = 0.
-2, -1, 1, 6844
Find l such that -l**2/10 - 50094*l/5 - 1254704418/5 = 0.
-50094
Factor i**4/3 - 17579*i**3 + 231721977*i**2 + 3477148205*i/3.
i*(i - 26371)**2*(i + 5)/3
Factor -4*g**2/7 - 1916*g/7 - 7600/7.
-4*(g + 4)*(g + 475)/7
Let 3*x**3/4 + 837*x**2/4 + 70785*x/4 + 1625151/4 = 0. Calculate x.
-121, -37
Determine m so that -2*m**5 - 1744*m**4 - 551658*m**3 - 73927836*m**2 - 3479832792*m - 9788901840 = 0.
-258, -95, -3
Factor -5*b**2 + 6555*b + 92750.
-5*(b - 1325)*(b + 14)
Determine o, given that 2*o**5 + 16*o**4 - 2*o**3 - 232*o**2 - 504*o - 288 = 0.
-6, -3, -2, -1, 4
Suppose 4*w**2 + 536*w + 6720 = 0. Calculate w.
-120, -14
Factor -3*q**3 - 29433*q**2 - 72353400*q - 792330000.
-3*(q + 11)*(q + 4900)**2
Factor 76*t**2/3 - 15344*t/3 - 1616/3.
4*(t - 202)*(19*t + 2)/3
Determine r so that -4*r**3 + 2192*r**2 - 6548*r + 4360 = 0.
1, 2, 545
Factor s**3/6 - 745*s**2/2 + 13319*s/6 + 40865/2.
(s - 2229)*(s - 11)*(s + 5)/6
Solve 2*h**2 + 992*h - 18504 = 0 for h.
-514, 18
Factor p**2/4 + 6220*p + 38688400.
(p + 12440)**2/4
Solve 2*x**4/11 + 236*x**3/11 - 2562*x**2/11 - 236*x/11 + 2560/11 = 0.
-128, -1, 1, 10
Suppose 6*d**4/5 + 371188*d**3/5 + 17221824026*d**2/15 - 7654638936*d/5 + 2551601304/5 = 0. What is d?
-30933, 2/3
Factor 3*a**2/2 + 4113*a - 8232.
3*(a - 2)*(a + 2744)/2
Factor -12*u**3 + 261*u**2 - 753*u - 7956.
-3*(u - 13)*(u + 4)*(4*u - 51)
Factor -3*c**3 - 51*c**2 + 1839*c - 1785.
-3*(c - 17)*(c - 1)*(c + 35)
Factor 3*l**2 + 877746*l + 64203170043.
3*(l + 146291)**2
Solve -2*d**2/3 + 794*d/3 + 135436 = 0.
-294, 691
Factor 24*f**2 + 11716*f + 71336.
4*(f + 482)*(6*f + 37)
What is g in -3*g**3 - 1545*g**2 + 4656*g - 3108 = 0?
-518, 1, 2
Factor -l**2/4 + 40027*l/4.
-l*(l - 40027)/4
Factor -2*n**2/11 + 4000*n/11 - 11802.
-2*(n - 1967)*(n - 33)/11
Factor 4*b**2 + 24080*b - 507444.
4*(b - 21)*(b + 6041)
Factor -2*p**2/9 + 9118*p/9 + 3040/3.
-2*(p - 4560)*(p + 1)/9
Solve 20*y**4 - 512*y**3 + 1212*y**2 - 352*y - 368 = 0.
-2/5, 1, 2, 23
Factor -2*w**4/17 - 332*w**3/17 + 1014*w**2/17.
-2*w**2*(w - 3)*(w + 169)/17
Factor -45*n**4 - 1534555*n**3 - 17443514025*n**2 - 66096058814505*n - 14687151678630.
-5*(n + 11367)**3*(9*n + 2)
What is b in 3*b**4 + 15*b**3 - 507*b**2 + 1713*b - 1224 = 0?
-17, 1, 3, 8
Factor -2*n**2/21 - 6474*n/7 - 97060/21.
-2*(n + 5)*(n + 9706)/21
Let 3*t**2 + 1373694*t + 157252933803 = 0. What is t?
-228949
Let -3*z**2 - 2634*z - 18291 = 0. Calculate z.
-871, -7
Let -2*z**4/17 - 2076*z**3/17 + 96504*z**2/17 - 1047236*z/17 - 1145814/17 = 0. What is z?
-1083, -1, 23
Let 21*r**2 + 4664*r/3 + 148/3 = 0. What is r?
-74, -2/63
Determine s, given that s**3 + 398*s**2 + 43168*s + 1420896 = 0.
-246, -76
Find z such that 4*z**4/7 + 8*z**3/7 - 240*z**2/7 - 1224*z/7 - 1620/7 = 0.
-5, -3, 9
Find t, given that -25*t**3 - 24045*t**2 - 5779215*t + 1156805 = 0.
-481, 1/5
Factor 2*t**4 + 4452*t**3 + 2481986*t**2 + 4950624*t + 2473088.
2*(t + 1)**2*(t + 1112)**2
Factor 65*h**2 - 856055*h + 65850.
5*(h - 13170)*(13*h - 1)
Determine w, given that -w**5/2 + 205*w**4/4 + 184*w**3 + 637*w**2/4 - 26*w - 53 = 0.
-2, -1, 1/2, 106
Determine r so that r**2/8 + 119*r/8 + 1067/4 = 0.
-97, -22
Factor s**5/4 - 187*s**4/4 - 249*s**3 + 1660*s**2 + 12944*s + 21504.
(s - 192)*(s - 7)*(s + 4)**3/4
Find v such that v**5 - 14*v**4 + 57*v**3 - 36*v**2 - 108*v = 0.
-1, 0, 3, 6
Determine m so that 3*m**3/7 + 1818*m**2/7 + 206565*m/7 - 208386/7 = 0.
-454, -153, 1
Factor -4*s**2 - 1608*s - 1604.
-4*(s + 1)*(s + 401)
Suppose 2*m**2/3 - 6070*m + 199584 = 0. Calculate m.
33, 9072
Let -7*x**2/2 + 70076*x/3 + 6674/3 = 0. Calculate x.
-2/21, 6674
Solve f**2/4 - 177*f/4 - 179/2 = 0 for f.
-2, 179
Factor 2*h**2/3 + 65306*h/3 + 65300.
2*(h + 3)*(h + 32650)/3
Factor h**2/7 + 411*h/7 - 412/7.
(h - 1)*(h + 412)/7
Suppose -15*q**4 + 1600*q**3 + 19790*q**2 - 44320*q + 22945 = 0. Calculate q.
-13, 1, 353/3
Factor -242*g**2 + 114840*g - 13624200.
-2*(11*g - 2610)**2
What is i in 2*i**2 - 25166*i = 0?
0, 12583
Let x**3/2 - 114*x**2 + 15141*x/2 - 156065 = 0. Calculate x.
49, 130
Suppose 2*z**3/11 - 9308*z**2/11 + 10764408*z/11 + 152531568/11 = 0. What is z?
-14, 2334
Factor y**2 + 3752*y + 3519376.
(y + 1876)**2
Factor 355*c**2/3 + 485*c - 2520.
5*(c - 3)*(71*c + 504)/3
Factor 2*t**4 - 66*t**2 - 16*t + 480.
2*(t - 5)*(t - 3)*(t + 4)**2
Factor 4*h**3 - 1564*h**2 + 65596*h - 730020.
4*(h - 345)*(h - 23)**2
Determine b so that 153*b**4/8 + 29091*b**3/8 + 43617*b**2/2 + 78021*b/2 + 17388 = 0.
-184, -3, -42/17, -2/3
Factor 2*s**4 - 13756*s**3 + 27504*s**2.
2*s**2*(s - 6876)*(s - 2)
Factor 2*o**4 - 146*o**3 + 1980*o**2.
2*o**2*(o - 55)*(o - 18)
Factor -2*l**2 + 638928*l - 51028623648.
-2*(l - 159732)**2
What is r in 2*r**4/5 + 389636*r**3/5 - 6*r**2/5 - 1168904*r/5 + 779272/5 = 0?
-194818, -2, 1
Factor 2*b**2/21 + 11818*b/3 + 82724/21.
2*(b + 1)*(b + 41362)/21
Find h, given that h**4 - 27*h**3 - 99*h**2 + 275*h - 150 = 0.
-5, 1, 30
Suppose -4*l**2 + 1026704*l - 65882568976 = 0. Calculate l.
128338
Factor -4*l**2/7 - 100*l/7 - 184/7.
-4*(l + 2)*(l + 23)/7
Suppose -h**2/2 + 617*h + 221487/2 = 0. Calculate h.
-159, 1393
What is t in 9722*t**5/7 - 29158*t**4/7 + 29142*t**3/7 - 9698*t**2/7 - 8*t/7 = 0?
-4/4861, 0, 1
Factor -a**3/9 - 31*a**2/3 + 298*a/9 + 320/3.
-(a - 5)*(a + 2)*(a + 96)/9
Find g, given that -3*g**5 - 23*g**4/2 + 17*g**3 - 5*g**2/2 = 0.
-5, 0, 1/6, 1
Factor g**3/10 + 99*g**2/10 - 15004*g.
g*(g - 341)*(g + 440)/10
Let -2*s**2/7 - 4596*s/7 + 60086/7 = 0. What is s?
-2311, 13
Solve -l**4/5 + 4*l**3 + 52*l**2/5 - 176*l/5 = 0 for l.
-4, 0, 2, 22
Solve 14*o**4/5 - 128*o**3/5 - 42*o**2/5 + 412*o/5 - 256/5 = 0 for o.
-2, 1, 64/7
Factor -2*g**3/9 + 5974*g**2/9 - 4464070*g/9 + 4458098/9.
-2*(g - 1493)**2*(g - 1)/9
Solve 2*w**3/3 + 244556*w**2/3 + 2491903360*w - 4984132800 = 0.
-61140, 2
Find w such that 2*w**5 + 92*w**4 - 182*w**3 - 7712*w**2 + 30360*w = 0.
-46, -11, 0, 5, 6
Let 2*x**4/5 - 84*x**3/5 - 2266*x**2/5 - 3444*x/5 + 16592/5 = 0. Calculate x.
-17, -4, 2, 61
Let 3*l**4/7 + 1875*l**3/7 + 267*l**2 - 1875*l/7 - 1872/7 = 0. Calculate l.
-624, -1, 1
Factor -3*c**3/8 - 1959*c**2/4 - 978*c.
-3*c*(c + 2)*(c + 1304)/8
Factor -8*q**2/15 - 44642*q/5 + 33482/15.
-2*(q + 16741)*(4*q - 1)/15
Determine i so that 4*i**3 - 32348*i**2 + 2504892*i - 48726756 = 0.
39, 8009
Find q, given that 2*q**2 + 87256*q + 951701192 = 0.
-21814
Let 2*c**2/13 + 26604*c/13 + 26602/13 = 0. Calculate c.
-13301, -1
Factor 10*l**3 - 24924*l**2 + 15535128*l - 6210064.
2*(l - 1246)**2*(5*l - 2)
Factor 2*r**2 + 109688*r + 1503932168.
2*(r + 27422)**2
Factor 3*j**3/5 + 33*j**2 + 1581*j/5 + 1419/5.
3*(j + 1)*(j + 11)*(j + 43)/5
Factor 10*b**3 - 17585*b**2 - 132415*b - 61810.
5*(b - 1766)*(b + 7)*(2*b + 1)
Factor 1086338*d**3/15 + 3911996*d**2/3 + 106136*d/15 + 48/5.
2*(d + 18)*(737*d + 2)**2/15
Factor -4*a**3 - 148*a**2 + 1696*a + 1840.
-4*(a - 10)*(a + 1)*(a + 46)
Determine v so that -v**2/4 - 273565*v/2 - 74837809225/4 = 0.
-