0.
-52, -5, -2, 76
Factor 2*i**4 - 432*i**2 + 640*i + 16800.
2*(i - 10)**2*(i + 6)*(i + 14)
Let 5*r**2 + 790*r - 53295 = 0. Calculate r.
-209, 51
What is z in -2*z**3 + 63577*z**2 + 158953*z + 63582 = 0?
-2, -1/2, 31791
Factor a**5/6 + 24253*a**4 + 1764624027*a**3/2.
a**3*(a + 72759)**2/6
Factor -4*i**3/7 - 128*i**2 - 47380*i/7 + 317400/7.
-4*(i - 6)*(i + 115)**2/7
Suppose -8*q**5/7 - 142*q**4/7 + 68*q**3/7 + 5176*q**2/7 + 7920*q/7 - 2304/7 = 0. What is q?
-16, -6, -2, 1/4, 6
Solve 3*c**2 + 474378*c = 0 for c.
-158126, 0
Factor -c**3/4 + 8*c**2 - 283*c/4 + 171.
-(c - 19)*(c - 9)*(c - 4)/4
Determine y so that 2*y**5 + 1304*y**4 + 177554*y**3 + 173652*y**2 - 352512*y = 0.
-459, -192, -2, 0, 1
What is h in -57*h**2 + 203667*h - 21438 = 0?
2/19, 3573
Let -3*l**3/2 + 1392*l**2 - 40410*l = 0. Calculate l.
0, 30, 898
Factor 4*r**3/5 - 72*r**2 + 3476*r/5.
4*r*(r - 79)*(r - 11)/5
What is v in -2*v**2 - 32338*v + 194100 = 0?
-16175, 6
Factor 3*d**2/4 - 675*d/2 - 1353/4.
3*(d - 451)*(d + 1)/4
Find v, given that v**5/2 - 17*v**4/2 + 34*v**3 - 50*v**2 + 24*v = 0.
0, 1, 2, 12
Find o, given that -16*o**5/11 - 938*o**4/11 + 6994*o**3/11 + 23798*o**2/11 + 8862*o/11 - 7020/11 = 0.
-65, -2, -1, 3/8, 9
Factor w**4/6 + 7*w**3 + 51*w**2/2 - 574*w/3 + 222.
(w - 2)**2*(w + 9)*(w + 37)/6
Factor 28*r**2 + 91848*r + 26240.
4*(r + 3280)*(7*r + 2)
Determine s so that 2*s**5 + 319*s**4/2 - 1612*s**3 + 3113*s**2 + 3770*s - 2225/2 = 0.
-89, -1, 1/4, 5
Factor -x**3 - 39254*x**2 - 385258380*x - 770359752.
-(x + 2)*(x + 19626)**2
Let z**3/6 - 619*z**2/6 + 9392*z/3 = 0. What is z?
0, 32, 587
Determine x so that -x**5/5 - 16*x**4 - 1433*x**3/5 + 6638*x**2/5 - 8652*x/5 + 3528/5 = 0.
-42, 1, 2
Factor -2*w**3/5 - 314*w**2/5 - 3366*w/5 + 803682/5.
-2*(w - 41)*(w + 99)**2/5
Let 14*z**5/3 + 2132*z**4/3 + 12406*z**3 + 174316*z**2/3 + 46816*z/3 = 0. Calculate z.
-133, -11, -8, -2/7, 0
Factor 2*s**4 - 622*s**3 + 2414*s**2 + 12894*s.
2*s*(s - 307)*(s - 7)*(s + 3)
Let 3*x**2/5 + 141*x/5 + 1596/5 = 0. Calculate x.
-28, -19
Factor -5*m**4 + 800*m**3 + 805*m**2.
-5*m**2*(m - 161)*(m + 1)
Factor -2*y**2/21 + 131284*y/21 + 43762/7.
-2*(y - 65643)*(y + 1)/21
Factor l**4 + 7*l**3 - 1182*l**2 + 12420*l + 13608.
(l - 18)**2*(l + 1)*(l + 42)
What is g in 2*g**5/7 - 76*g**4/7 - 1824*g**3/7 - 2732*g**2/7 + 11230*g/7 - 6600/7 = 0?
-15, -4, 1, 55
Let f**4 - 147*f**3 + 7155*f**2 - 115169*f = 0. What is f?
0, 41, 53
Determine m, given that -32005*m**2/2 + 16002*m + 1/2 = 0.
-1/32005, 1
Factor -2*p**2/11 - 5860*p/11 - 104832/11.
-2*(p + 18)*(p + 2912)/11
Suppose 4*s**2 - 5190*s - 23436 = 0. What is s?
-9/2, 1302
Factor 272*g**2 + 40516*g - 1788.
4*(g + 149)*(68*g - 3)
Factor -k**4 - 143*k**3 + 3223*k**2 - 6013*k + 2934.
-(k - 18)*(k - 1)**2*(k + 163)
Let -b**2/5 + 4768*b/5 + 62153/5 = 0. Calculate b.
-13, 4781
Solve k**4/4 - 67*k**3 + 3061*k**2/2 - 2861*k + 5589/4 = 0 for k.
1, 23, 243
Suppose -g**5 + 301*g**4 - 23071*g**3 + 59371*g**2 + 556664*g - 1776080 = 0. Calculate g.
-5, 4, 149
Solve 2*n**3 - 38374*n**2 + 184051296*n + 184089672 = 0.
-1, 9594
Factor 12*t**3 - 164996*t**2 + 329980*t/3 - 18332.
4*(t - 13749)*(3*t - 1)**2/3
Solve -2*u**3 + 319754*u**2 - 12780487440*u + 12780167688 = 0.
1, 79938
Find p, given that 3*p**3/7 + 177*p**2/7 + 1893*p/7 - 7353/7 = 0.
-43, -19, 3
Find h, given that 16*h**5/3 + 952*h**4 - 27549*h**3 + 119123*h**2/3 - 14748*h + 1632 = 0.
-204, 1/4, 1, 24
Factor -3*n**3/2 - 49677*n**2.
-3*n**2*(n + 33118)/2
Factor -4*h**3 - 624*h**2 + 1264*h.
-4*h*(h - 2)*(h + 158)
Factor f**4/4 + 1563*f**3/4 + 611521*f**2/4 + 606837*f/4 - 609961/2.
(f - 1)*(f + 2)*(f + 781)**2/4
Factor 2*c**2 + 182*c + 180.
2*(c + 1)*(c + 90)
Let 5*j**5 + 430*j**4 + 10425*j**3 + 58700*j**2 + 109420*j + 60720 = 0. What is j?
-46, -33, -4, -2, -1
Factor -3*z**2/8 + 367293*z/8 + 367299/4.
-3*(z - 122433)*(z + 2)/8
Factor t**4/3 + 88*t**3/3 + 960*t**2 + 13824*t + 73728.
(t + 16)*(t + 24)**3/3
Find x, given that 2*x**5/9 + 26*x**4/3 + 112*x**3/3 - 8096*x**2/9 + 8704*x/3 - 2048 = 0.
-24, 1, 4
What is p in 4*p**2 + 4745816*p + 1407673094116 = 0?
-593227
Factor 2*z**3/7 + 436*z**2/7 + 12490*z/7 + 7400.
2*(z + 5)*(z + 28)*(z + 185)/7
Let -14*n**2/17 - 446*n/17 - 2852/17 = 0. Calculate n.
-23, -62/7
Suppose -t**5/7 + 104*t**4/7 + 2601*t**3/7 - 15104*t**2/7 + 12400*t/7 = 0. Calculate t.
-25, 0, 1, 4, 124
Factor s**2 - 90704*s + 2056803904.
(s - 45352)**2
Solve -s**2/3 + 690*s + 4152 = 0.
-6, 2076
Factor -5*p**3 - 1420180*p**2 - 5680660*p - 5680640.
-5*(p + 2)**2*(p + 284032)
Solve -3*u**2/4 + 6621*u/4 + 35091 = 0.
-21, 2228
Find s, given that s**3 - 125*s**2 + 1328*s + 3164 = 0.
-2, 14, 113
Factor 4*r**4/3 + 1808*r**3/3 + 93960*r**2 + 16483600*r/3 + 207306500/3.
4*(r + 17)*(r + 145)**3/3
Factor 2*z**2/7 + 21968*z + 422268896.
2*(z + 38444)**2/7
Factor -z**2/7 - 48*z/7 - 176/7.
-(z + 4)*(z + 44)/7
Factor -25*j**2 - 10465*j/3 - 10240.
-5*(j + 3)*(15*j + 2048)/3
Factor -f**2 - 208*f + 95460.
-(f - 222)*(f + 430)
Factor -28*x**2 - 175950*x + 12568.
-2*(x + 6284)*(14*x - 1)
Factor -5*q**2 + 2450*q - 162345.
-5*(q - 411)*(q - 79)
Solve -5*h**4/2 + 1784*h**3 - 74317*h**2/2 - 144899*h - 51900 = 0.
-3, -2/5, 25, 692
Determine t, given that 361*t**5/7 - 139669*t**4/7 + 1792585*t**3 + 189042013*t**2/7 + 19794800*t/7 + 520000/7 = 0.
-13, -1/19, 200
Determine s so that s**3/2 - 243*s**2 - 27387*s/2 = 0.
-51, 0, 537
Suppose m**3/3 - 270*m**2 + 59211*m - 1797228 = 0. Calculate m.
36, 387
Suppose -5*w**4 + 2430*w**3 - 49140*w**2 + 146050*w + 197625 = 0. What is w?
-1, 5, 17, 465
Factor -4*f**2 - 674*f/5 + 7998/5.
-2*(f + 43)*(10*f - 93)/5
Solve 4*o**3 + 1848*o**2 + 178560*o + 4924800 = 0 for o.
-342, -60
Factor a**2/2 - 80999*a + 6560838001/2.
(a - 80999)**2/2
Factor -5*x**3 + 760*x**2 + 2345*x - 3100.
-5*(x - 155)*(x - 1)*(x + 4)
Determine f, given that 2*f**4 + 31636*f**3 + 63266*f**2 + 31632*f = 0.
-15816, -1, 0
Suppose -45242*x**4 - 226206*x**3 - 316674*x**2 - 135698*x + 12 = 0. Calculate x.
-3, -1, 2/22621
Let -5*d**5 + 198*d**4 + 1655*d**3 + 3880*d**2 + 3180*d + 752 = 0. Calculate d.
-4, -2, -1, -2/5, 47
Find z, given that 36*z**3 - 4956*z**2 + 227017*z - 3459498 = 0.
42, 287/6
Find c such that 5*c**2 + 6285*c + 18810 = 0.
-1254, -3
Suppose 2*q**5/11 + 23126*q**4/11 - 231406*q**3/11 + 624906*q**2/11 - 416628*q/11 = 0. What is q?
-11573, 0, 1, 3, 6
Factor 4*n**3 - 116*n**2 - 24640*n + 1041152.
4*(n - 56)**2*(n + 83)
Factor -2*a**2/17 - 206420*a/17 + 619278/17.
-2*(a - 3)*(a + 103213)/17
Suppose 36*y**5/7 + 1554312*y**4/7 + 16776466480*y**3/7 - 11188455968*y**2/7 - 5326388736*y - 2130476544 = 0. Calculate y.
-21588, -2/3, 2
Factor 4*x**2 - 755440*x - 2266356.
4*(x - 188863)*(x + 3)
Solve 2*i**5/7 + 272*i**4/7 + 1054*i**3/7 - 296*i**2/7 - 4248*i/7 - 3168/7 = 0 for i.
-132, -3, -2, -1, 2
Find v, given that 2*v**5 - 32*v**4 - 644*v**3 - 3040*v**2 - 4350*v = 0.
-5, -3, 0, 29
Suppose 4*g**4 - 22524*g**3 + 31786872*g**2 - 221540608*g + 189776256 = 0. What is g?
1, 6, 2812
Suppose z**2/4 + 715*z/2 - 161175/4 = 0. What is z?
-1535, 105
Factor -g**2/3 - 5105*g/3 - 20404/3.
-(g + 4)*(g + 5101)/3
Factor -4888*t**3 - 9734*t**2 + 84*t.
-2*t*(t + 2)*(2444*t - 21)
Let 2*c**2 + 621316*c + 48254196482 = 0. What is c?
-155329
Let -2*t**4/7 - 90*t**3/7 + 18306*t**2/7 + 36874*t/7 + 2640 = 0. What is t?
-120, -1, 77
Factor 3*z**3 - 5832*z**2 - 23391*z + 29220.
3*(z - 1948)*(z - 1)*(z + 5)
Solve p**2/2 + 533*p = 0 for p.
-1066, 0
What is t in -2*t**2/9 - 3544*t/9 + 7160 = 0?
-1790, 18
Factor i**4 + 1429*i**3 - 7163*i**2 + 10035*i - 4302.
(i - 3)*(i - 1)**2*(i + 1434)
Factor 3*p**2 - 8457*p + 117810.
3*(p - 2805)*(p - 14)
Let -2*j**3 + 7496*j**2 + 14998*j + 7500 = 0. Calculate j.
-1, 3750
Factor -3*z**3/2 - 6087*z**2/2 - 12165*z/2 - 6081/2.
-3*(z + 1)**2*(z + 2027)/2
Factor 2*q**4 + 586*q**3 + 25056*q**2 + 384512*q + 2007040.
2*(q + 16)**3*(q + 245)
Factor -9*y**2 + 165*y + 5724.
-3*(y - 36)*(3*y + 53)
Find u such that 3*u**2 - 2199*u + 2196 = 0.
1, 732
Find z, given that -5*z**5 + 9840*z**4 - 4811310*z**3 - 29847420*z**2 + 307929195*z - 526051260 = 0.
-12, 3, 987
Let 3080*b**5/3 + 2014*b**4 - 4862*b**3 - 16744*b**2/3 - 1832*b - 192 = 0. Calculate b.
-3, -2/5, -24/77, -1/4, 2
Factor -4*o**4 + 272*o**3 - 3220*o**2 + 10584*o.
-4*o*(o - 54)*(o - 7)**2
Facto