00200 = 0. Calculate n.
-3745, -2, 1
Suppose -z**4/9 - 58*z**3 + 1600*z**2/3 + 11162*z/9 + 649 = 0. What is z?
-531, -1, 11
Factor 3*o**3/7 - 765*o**2/7 + 3732*o/7 + 4500/7.
3*(o - 250)*(o - 6)*(o + 1)/7
What is b in -48*b**4/11 - 14348760*b**3/11 - 21523068*b**2/11 - 10761522*b/11 - 1793586/11 = 0?
-298931, -1/2
Factor 3*m**3 + 360*m**2 - 14499*m + 14136.
3*(m - 31)*(m - 1)*(m + 152)
Solve 30*q**4/7 + 100022*q**3/7 - 193492*q**2/7 - 13344*q/7 = 0 for q.
-3336, -1/15, 0, 2
Solve 6*c**5 - 15441*c**4 - 303219*c**3 - 420069*c**2 + 7725*c + 140022 = 0.
-18, -1, 1/2, 2593
Let -2*u**5 + 332*u**4 - 10308*u**3 - 32936*u**2 - 33610*u - 11316 = 0. What is u?
-1, 46, 123
Factor w**2/6 + 136*w/3 + 90.
(w + 2)*(w + 270)/6
Factor -3*k**2/7 + 408*k/7 + 8835/7.
-3*(k - 155)*(k + 19)/7
Factor 4*f**2 - 4576*f + 1058736.
4*(f - 822)*(f - 322)
Factor 5*s**2 - 84040*s + 1427235.
5*(s - 16791)*(s - 17)
Factor 2*r**4/3 + 64*r**3/3 + 230*r**2/3 + 56*r.
2*r*(r + 1)*(r + 3)*(r + 28)/3
Suppose -2*f**3 + 342*f**2 + 3240*f = 0. Calculate f.
-9, 0, 180
Factor 4*o**2 - 227512*o + 3235106884.
4*(o - 28439)**2
Let -3*a**5 + 5355*a**4 + 10719*a**3 + 5361*a**2 = 0. Calculate a.
-1, 0, 1787
Suppose -s**3/3 + 104*s**2/3 - 380*s + 1104 = 0. Calculate s.
6, 92
Factor -10*r**2 + 133235*r.
-5*r*(2*r - 26647)
Find a, given that a**3/2 - 37919*a**2/2 - 37921*a = 0.
-2, 0, 37921
Determine o, given that -o**2/7 - 3673*o/7 - 11010/7 = 0.
-3670, -3
Find d, given that d**5/6 + 16*d**4/3 + 19*d**3 - 346*d**2/3 - 3475*d/6 - 450 = 0.
-27, -5, -4, -1, 5
Factor -h**2/2 + 19069*h - 363626761/2.
-(h - 19069)**2/2
What is x in 33176*x**3/9 + 69038*x**2/9 + 5342*x/9 - 20/3 = 0?
-2, -1/11, 15/1508
Solve 4*u**2 - 62640*u - 125296 = 0.
-2, 15662
Solve -g**2 - 934*g + 52311 = 0.
-987, 53
Find f, given that -2*f**3 - 687*f**2 - 2383*f - 1020 = 0.
-340, -3, -1/2
Find q, given that 4*q**2 + 117644*q + 235272 = 0.
-29409, -2
Let -25*f**5 - 1640*f**4 - 30865*f**3 - 178790*f**2 - 84940*f + 64600 = 0. Calculate f.
-38, -17, -10, -1, 2/5
What is f in 3*f**2 - 381*f + 10578 = 0?
41, 86
Factor i**2/4 + 43999*i/2 + 1935912001/4.
(i + 43999)**2/4
Factor -5*c**2 + 36735*c.
-5*c*(c - 7347)
Suppose -4*f**4/7 + 712*f**3/7 - 5932*f**2 + 776688*f/7 + 818928/7 = 0. What is f?
-1, 47, 66
Suppose g**5/2 + 7*g**4 - 31*g**3/2 - 130*g**2 - 150*g = 0. Calculate g.
-15, -2, 0, 5
Suppose 2*l**4/9 + 8*l**3/9 - 34*l**2/3 - 68*l - 96 = 0. Calculate l.
-6, -3, 8
Determine v, given that 2*v**5/7 + 190*v**4/7 + 1440*v**3/7 + 4240*v**2/7 + 800*v + 2784/7 = 0.
-87, -2
Factor -4*g**4 + 3124*g**3 - 3112*g**2 - 6240*g.
-4*g*(g - 780)*(g - 2)*(g + 1)
Factor 18*v**2 + 825*v - 4575.
3*(v - 5)*(6*v + 305)
Find h, given that -2*h**3 - 776*h**2 - 5318*h + 6096 = 0.
-381, -8, 1
Find b such that 3*b**3 - 918*b**2 - 140115*b - 139194 = 0.
-111, -1, 418
Solve k**2/5 - 7*k/5 - 858/5 = 0 for k.
-26, 33
Solve -2*a**2 - 1068*a - 142578 = 0 for a.
-267
Solve r**3/2 - 29429*r**2 = 0 for r.
0, 58858
Let -i**4/2 - 208*i**3 - 4859*i**2/2 - 2222*i = 0. Calculate i.
-404, -11, -1, 0
Suppose 12*z**4 - 2301*z**3 - 576*z**2 = 0. What is z?
-1/4, 0, 192
Factor a**2 + 11708*a.
a*(a + 11708)
Factor -5*h**4 - 158810*h**3 - 1260871985*h**2 + 2522220420*h - 1261189620.
-5*(h - 1)**2*(h + 15882)**2
Factor m**2/5 + 111896*m + 15650893520.
(m + 279740)**2/5
Factor 4*y**2/7 - 180*y - 1264/7.
4*(y - 316)*(y + 1)/7
Solve 2*k**2/5 - 1760*k - 8810 = 0 for k.
-5, 4405
Let j**3 - 42*j**2 + 255*j + 4186 = 0. Calculate j.
-7, 23, 26
Find c such that 3*c**2/4 + 3129*c/4 - 95787/2 = 0.
-1101, 58
Find j, given that -5*j**3/3 - 1580*j**2/3 + 1060*j = 0.
-318, 0, 2
Factor i**4 + 83*i**3 - 1002*i**2 + 2980*i - 2632.
(i - 7)*(i - 2)**2*(i + 94)
Factor 4*m**3 + 74152*m**2 + 343657444*m.
4*m*(m + 9269)**2
Factor j**2 + 77095*j + 154186.
(j + 2)*(j + 77093)
Determine s, given that 3*s**3 - 824481*s**2 - 3*s + 824481 = 0.
-1, 1, 274827
Factor -p**2/2 - 28931*p/2 - 14465.
-(p + 1)*(p + 28930)/2
Find t such that -2*t**5 - 216*t**4 - 1036*t**3 - 608*t**2 + 1038*t + 824 = 0.
-103, -4, -1, 1
Factor m**2/5 - 158*m + 143029/5.
(m - 509)*(m - 281)/5
Factor -2*a**2/7 + 1842*a/7 - 28960/7.
-2*(a - 905)*(a - 16)/7
Determine o, given that 4*o**3 - 988*o**2 - 20964*o - 105732 = 0.
-11, -9, 267
Factor -g**2/3 + 35440*g + 212644/3.
-(g - 106322)*(g + 2)/3
Suppose 3*i**4 + 41481*i**3 + 373131*i**2 + 621831*i + 290178 = 0. What is i?
-13818, -7, -1
Find h such that 2*h**3/3 + 5128*h**2/9 + 38990*h/9 + 23716/9 = 0.
-847, -7, -2/3
Factor -10*c**3 - 269*c**2 + 607*c - 58.
-(c - 2)*(c + 29)*(10*c - 1)
Solve -3*h**4 + 426*h**3 - 4824*h**2 + 18912*h - 24960 = 0.
4, 130
Suppose 2*x**3 - 690*x**2 + 21768*x - 21080 = 0. What is x?
1, 34, 310
Suppose 5*u**4 + 420*u**3 - 5*u**2 - 420*u = 0. Calculate u.
-84, -1, 0, 1
Factor 4*v**2 - 37132*v - 111432.
4*(v - 9286)*(v + 3)
Factor -2*y**3/7 + 40*y**2/7 + 2*y/7 - 760/7.
-2*(y - 19)*(y - 5)*(y + 4)/7
Solve -2*t**4/3 - 65*t**3/2 + 1129*t**2/6 - 45*t = 0 for t.
-54, 0, 1/4, 5
Factor -q**2/2 + 94587*q/2.
-q*(q - 94587)/2
Solve p**2/2 + 1576701*p + 2485986043401/2 = 0 for p.
-1576701
Factor 2*i**4/17 + 14*i**3/17.
2*i**3*(i + 7)/17
Find k such that 10*k**5/3 + 2314*k**4/3 - 1676*k**3 - 27468*k**2 + 125406*k - 147042 = 0.
-1167/5, -7, 3
Find a, given that -a**4 + 174*a**3 - 2567*a**2 + 6162*a = 0.
0, 3, 13, 158
What is g in -g**3 + 837*g**2 - 181251*g + 2533815 = 0?
15, 411
Let n**4/5 - 137*n**3/5 - 283*n**2/5 + 689*n/5 + 834/5 = 0. Calculate n.
-3, -1, 2, 139
Find d such that d**2 + 296151*d - 592306 = 0.
-296153, 2
Let -c**2/5 - 333*c + 1670 = 0. Calculate c.
-1670, 5
Determine u so that -87302779522*u**5 + 262057107858*u**4 + 872581402840*u**3 - 1487439392*u**2 + 844992*u - 160 = 0.
-2, 2/3521, 5
Let v**5/2 - 566*v**4 - 10326*v**3 - 27577*v**2 - 52885*v/2 - 8625 = 0. What is v?
-15, -1, 1150
Factor -5*b**4 + 33815*b**3 - 75866175*b**2 + 55637290125*b + 1859193540000.
-5*(b - 2265)**3*(b + 32)
Suppose 8*j**3/5 - 86654*j**2/5 + 151616*j/5 + 8664 = 0. What is j?
-1/4, 2, 10830
Solve 3*b**4 + 231*b**3 - 570*b**2 - 7296*b + 22752 = 0 for b.
-79, -6, 4
Determine p so that -p**2 + 259*p - 13464 = 0.
72, 187
Factor t**2 + 3076070*t + 2365551661225.
(t + 1538035)**2
Suppose 242*m**3 - 27544*m**2 - 5014*m - 228 = 0. What is m?
-1/11, 114
Find z such that -7*z**4/4 + 65*z**3/4 + 129*z**2/2 + 7*z - 86 = 0.
-2, 1, 86/7
Suppose -14045*n**3 - 731930*n**2 - 82725*n - 2340 = 0. Calculate n.
-52, -3/53
Solve 5*m**2 - 51230*m + 51225 = 0.
1, 10245
Factor -f**3 - 75*f**2 - 1119*f - 1045.
-(f + 1)*(f + 19)*(f + 55)
Factor -n**3 - 79*n**2 + 332*n.
-n*(n - 4)*(n + 83)
Determine n, given that -5*n**3 - 43915*n**2 + 87845*n - 43925 = 0.
-8785, 1
Suppose 4*x**4 + 784*x**3 - 13488*x**2 + 17408*x + 94976 = 0. What is x?
-212, -2, 4, 14
Determine k so that -2*k**3 + 12827*k**2/2 + 67447*k/2 + 8030 = 0.
-5, -1/4, 3212
Let -u**2/5 + 9*u + 4186/5 = 0. Calculate u.
-46, 91
Factor p**2/5 + 49234*p + 3029983445.
(p + 123085)**2/5
Let -4*t**3/9 - 1184*t**2/9 + 1820*t/3 + 22000 = 0. What is t?
-300, -11, 15
Suppose 4*t**4 - 396*t**3 + 5504*t**2 + 5904*t = 0. What is t?
-1, 0, 18, 82
Factor f**2/6 - 369*f/2 + 552.
(f - 1104)*(f - 3)/6
Factor 5920*f**2 + 76945*f - 195.
5*(f + 13)*(1184*f - 3)
Factor 49*z**2/3 - 186172*z/3 + 176836804/3.
(7*z - 13298)**2/3
Let y**3/5 - 39*y**2 - 14986*y/5 = 0. Calculate y.
-59, 0, 254
Factor l**4/5 - 149*l**3/5 + 4308*l**2/5 + 93644*l/5 + 295856/5.
(l - 82)**2*(l + 4)*(l + 11)/5
Find q such that -2*q**3/7 - 722*q**2/7 + 2930*q/7 + 3650/7 = 0.
-365, -1, 5
Let -2*w**4/7 - 4352*w**3/7 + 8718*w**2/7 + 13068*w/7 = 0. Calculate w.
-2178, -1, 0, 3
Factor 4*c**3/3 + 244*c**2 + 16520*c/3 + 10048.
4*(c + 2)*(c + 24)*(c + 157)/3
Factor -2*a**2/17 - 28984*a/17 + 348096/17.
-2*(a - 12)*(a + 14504)/17
Determine u so that 243*u**4 - 10071*u**3 + 79770*u**2 - 33972*u + 3720 = 0.
2/9, 10, 31
Find v such that -2*v**5/9 + 74*v**4/9 - 286*v**3/3 + 2366*v**2/9 + 8788*v/9 = 0.
-2, 0, 13
Let a**3/7 + 374263*a**2/7 + 35018011160*a/7 - 35018385424/7 = 0. Calculate a.
-187132, 1
Suppose -5*y**5 - 1780*y**4 - 10560*y**3 - 21040*y**2 - 14000*y = 0. What is y?
-350, -2, 0
Factor -y**2/2 - 43*y - 1525/2.
-(y + 25)*(y + 61)/2
Factor 2*v**3/3 + 65*v**2/3 - 247*v/3 + 60.
(v - 1)*(v + 36)*(2*v - 5)/3
Let -3*z**