
-4720, -13
Factor 5*n**2 + 2323*n - 32026.
(n + 478)*(5*n - 67)
Find t, given that t**3/4 + 75*t**2/2 + 1683*t + 23698 = 0.
-82, -34
Find k such that -5*k**4 + 1444615*k**3 - 139127018340*k**2 + 4466255541787600*k + 4466394670250560 = 0.
-1, 96308
Suppose -4*h**3/3 + 466*h**2/3 + 5314*h/3 + 2540/3 = 0. What is h?
-10, -1/2, 127
Suppose -52*r**4 - 1626*r**3 - 414*r**2 + 620*r = 0. Calculate r.
-31, -10/13, 0, 1/2
Factor 4*b**3/9 - 6*b**2 + 26*b/9.
2*b*(b - 13)*(2*b - 1)/9
Let 3*h**4 + 996*h**3/7 - 2685*h**2/7 + 768*h/7 + 900/7 = 0. Calculate h.
-50, -3/7, 1, 2
Find m, given that -45*m**2 - 1600*m - 3795 = 0.
-33, -23/9
Solve 3*l**3/4 - 801567*l**2/4 + 13385718018*l - 13385517627 = 0 for l.
1, 133594
Suppose -9*n**5/2 + 141*n**4 + 249*n**3 - 42*n**2 - 489*n/2 - 99 = 0. Calculate n.
-1, -2/3, 1, 33
Factor 4*f**2/7 + 12648*f/7 - 12652/7.
4*(f - 1)*(f + 3163)/7
Solve -4*f**4 - 38416*f**3 - 92198392*f**2 + 184512048*f - 92275236 = 0.
-4803, 1
Factor -j**3 + 3772*j**2 - 3556996*j.
-j*(j - 1886)**2
Solve -684*d**3 - 1366*d**2 + 4*d = 0 for d.
-2, 0, 1/342
What is v in -v**5 + 6*v**4 + 281*v**3 - 594*v**2 - 1108*v + 2280 = 0?
-15, -2, 2, 19
Let -3*b**5/2 - 3*b**4 + 6*b**3 + 12*b**2 = 0. What is b?
-2, 0, 2
Let 2*b**2/3 - 5198*b/3 + 5192 = 0. Calculate b.
3, 2596
Solve t**3 + 1450*t**2 + 5788*t + 5784 = 0.
-1446, -2
Factor x**3/3 - 3454*x**2/3 + 2982529*x/3.
x*(x - 1727)**2/3
Suppose -y**2/6 + 10987*y/3 - 120714169/6 = 0. Calculate y.
10987
Suppose -h**3/7 + 3610*h**2/7 + h/7 - 3610/7 = 0. What is h?
-1, 1, 3610
Factor -w**3 - 321*w**2 - 1899*w - 2835.
-(w + 3)**2*(w + 315)
Suppose -j**5/3 + 745*j**4 + 1491*j**3 + 2237*j**2/3 = 0. What is j?
-1, 0, 2237
Find z such that 359*z**2/3 - 242*z + 16/3 = 0.
8/359, 2
Suppose -11*d**3/2 - 1492*d**2 - 103582*d - 323208 = 0. Calculate d.
-134, -36/11
Suppose 3*c**5/7 + 19368*c**4/7 - 72*c**3/7 - 66432*c**2 - 1239696*c/7 - 929664/7 = 0. Calculate c.
-6456, -2, 6
Factor 195*q**2 - 366*q - 48.
3*(q - 2)*(65*q + 8)
Factor 2*n**3/7 - 18482*n**2/7 + 18468*n/7 + 15840.
2*(n - 9240)*(n - 3)*(n + 2)/7
What is s in -4*s**5 + 12310*s**4 + 18480*s**3 - 18470*s**2 - 12316*s = 0?
-2, -1/2, 0, 1, 3079
Suppose -b**2/2 - 2359*b + 4720 = 0. What is b?
-4720, 2
Determine o, given that -2*o**4 + 8652*o**3 - 9383058*o**2 + 56064960*o - 83980800 = 0.
3, 2160
Factor 4*t**3 - 4348*t**2 + 25964*t - 21620.
4*(t - 1081)*(t - 5)*(t - 1)
Factor 2*a**3/9 + 17864*a**2/9 + 178490*a/9 + 148700/3.
2*(a + 5)**2*(a + 8922)/9
Factor -2*o**2 + 568926*o + 568928.
-2*(o - 284464)*(o + 1)
Factor 5*t**2 + 302190*t + 302185.
5*(t + 1)*(t + 60437)
Factor -5*o**5/3 + 208570*o**4 - 6525216735*o**3.
-5*o**3*(o - 62571)**2/3
Let -l**2 - 30608*l - 234212416 = 0. Calculate l.
-15304
Solve 2*v**4 + 588*v**3 + 2906*v**2 + 4632*v + 2312 = 0 for v.
-289, -2, -1
Factor k**4 - 2761*k**3 - 22131*k**2 - 58131*k - 49842.
(k - 2769)*(k + 2)*(k + 3)**2
Find z, given that z**5/3 + z**4 - 17*z**3/3 - 13*z**2 - 20*z/3 = 0.
-5, -1, 0, 4
Factor 5*m**3 - 915*m**2 + 1180*m + 273600.
5*(m - 180)*(m - 19)*(m + 16)
Solve 57*z**3 + 102*z**2 - 480*z + 96 = 0 for z.
-4, 4/19, 2
Factor c**2 + 5464*c - 60225.
(c - 11)*(c + 5475)
Factor -b**3/5 - 189*b**2 + 6664*b/5.
-b*(b - 7)*(b + 952)/5
Factor 2*n**2 + 2666*n - 98568.
2*(n - 36)*(n + 1369)
Factor -2*g**3 + 79916*g**2 - 798320882*g.
-2*g*(g - 19979)**2
Factor 6*q**3/7 + 288*q**2/7 - 1566*q/7 + 1272/7.
6*(q - 4)*(q - 1)*(q + 53)/7
What is m in m**2/5 + 1048*m/5 - 97524/5 = 0?
-1134, 86
Determine o, given that -81*o**4 - 23526*o**3 - 1689853*o**2 + 2671508*o - 1044484 = 0.
-146, 7/9
Factor 5*q**5 + 10*q**4 - 15*q**3 - 40*q**2 - 20*q.
5*q*(q - 2)*(q + 1)**2*(q + 2)
Let q**3 + 1099*q**2 - 1106*q - 6600 = 0. Calculate q.
-1100, -2, 3
Find a such that -a**3/8 + 48321*a**2/8 + 96645*a/8 + 48323/8 = 0.
-1, 48323
Solve x**2/6 - 6767*x/6 + 13526/3 = 0.
4, 6763
Find b such that -150*b**5/7 + 608*b**4/7 - 482*b**3/7 - 576*b**2/7 + 632*b/7 - 32/7 = 0.
-1, 4/75, 1, 2
Suppose -159*g**5/5 - 46*g**4 + 188*g**3/5 + 24*g**2/5 = 0. Calculate g.
-2, -6/53, 0, 2/3
Factor -2*c**4/7 - 732*c**3/7 + 1472*c**2/7.
-2*c**2*(c - 2)*(c + 368)/7
Solve -2*n**5 - 66*n**4 - 676*n**3 - 2112*n**2 = 0.
-16, -11, -6, 0
Factor -5*w**2/3 + 425*w/3 + 4360.
-5*(w - 109)*(w + 24)/3
Factor 2*s**2/13 + 114*s - 33572/13.
2*(s - 22)*(s + 763)/13
Find x such that -2*x**3/3 - 1232*x**2/3 - 198058*x/3 - 2536828/3 = 0.
-301, -14
Factor -2*k**3/13 - 43902*k**2/13 - 43900*k/13.
-2*k*(k + 1)*(k + 21950)/13
Suppose 65*r**3 + 207560*r**2 + 255375*r + 47880 = 0. Calculate r.
-3192, -1, -3/13
Find p such that 31*p**3 + 631*p**2 + 220*p = 0.
-20, -11/31, 0
Let -28*o**3 - 10560*o**2 + 19684*o - 9096 = 0. Calculate o.
-379, 6/7, 1
Factor -5*m**2 - 4510*m - 113880.
-5*(m + 26)*(m + 876)
Suppose t**2/3 + 545*t/3 + 9994/3 = 0. What is t?
-526, -19
Factor -4*r**3 - 38728*r**2 - 77444*r - 38720.
-4*(r + 1)**2*(r + 9680)
Factor -45*p**2 + 5075*p + 1130.
-5*(p - 113)*(9*p + 2)
Suppose -5*i**3 - 367705*i**2 - 2206095*i - 3309075 = 0. Calculate i.
-73535, -3
Factor -j**3/3 + 45130*j**2/3 - 90257*j/3 + 45128/3.
-(j - 45128)*(j - 1)**2/3
Suppose -5*r**2 - 42585*r + 426350 = 0. Calculate r.
-8527, 10
Factor -4*c**2 + 8932*c + 17880.
-4*(c - 2235)*(c + 2)
What is a in 2*a**5/13 - 30*a**4/13 - 296*a**3/13 - 328*a**2/13 + 1344*a/13 + 1408/13 = 0?
-4, -1, 2, 22
Factor 5*j**3 + 11590*j**2 - 58075*j.
5*j*(j - 5)*(j + 2323)
Factor -16*k**2 + 12004*k - 3000.
-4*(k - 750)*(4*k - 1)
Factor -2*t**3 + 2300*t**2 + 9226*t + 6924.
-2*(t - 1154)*(t + 1)*(t + 3)
What is v in -2*v**5/7 + 2400*v**4/7 - 4424*v**3 + 125988*v**2/7 - 197126*v/7 + 14244 = 0?
1, 2, 3, 7, 1187
Solve -8*y**5/3 - 214*y**4/3 - 1682*y**3/3 - 3382*y**2/3 - 1334*y/3 + 572/3 = 0 for y.
-13, -11, -2, -1, 1/4
Find h such that 3*h**2 + 1365*h + 54252 = 0.
-411, -44
Solve 126*f**5 - 2859*f**4/2 + 9531*f**3/2 - 4536*f**2 + 1146*f - 72 = 0 for f.
2/21, 1/4, 1, 4, 6
Solve 2*i**2/7 - 3214*i/7 - 16120/7 = 0 for i.
-5, 1612
Suppose 3*a**3 + 255*a**2 - 3492*a = 0. What is a?
-97, 0, 12
Factor -2*v**3 - 20972*v**2 - 56255298*v - 6657004728.
-2*(v + 124)*(v + 5181)**2
What is q in -3*q**3 + 21*q**2 + 1182*q + 4200 = 0?
-14, -4, 25
Factor -4*f**3 + 1700*f**2.
-4*f**2*(f - 425)
Factor -5*m**4 + 990*m**2 - 3240*m - 18225.
-5*(m - 9)**2*(m + 3)*(m + 15)
Suppose 31*f**4 + 3777*f**3 - 11517*f**2 + 11579*f - 3870 = 0. Calculate f.
-3870/31, 1
Suppose m**2/9 - 103*m - 4660/9 = 0. Calculate m.
-5, 932
Factor -595*l**2 - 54860*l - 11040.
-5*(l + 92)*(119*l + 24)
Factor h**4 - 73167*h**3 + 1784469963*h**2 - 14507145975869*h.
h*(h - 24389)**3
Factor -6084*o**3/5 - 23556*o**2 - 252448*o/5 - 143888/5.
-4*(o + 17)*(39*o + 46)**2/5
Find u such that u**4/6 - 318*u**3 + 151048*u**2 + 1827872*u/3 = 0.
-4, 0, 956
Solve 2*c**2/11 - 186*c/11 - 776/11 = 0.
-4, 97
Let 9*n**3 - 318328*n**2 - 389079*n - 70742 = 0. What is n?
-1, -2/9, 35371
Factor -3*g**3/4 - 97827*g**2/2 + 586989*g/4.
-3*g*(g - 3)*(g + 65221)/4
Solve -l**4/5 + 3073*l**3/5 + 9228*l**2/5 + 4*l/5 - 12304/5 = 0.
-2, 1, 3076
Suppose -2*a**4/9 + 64*a**3/3 - 4730*a**2/9 + 3932*a/3 + 16720/9 = 0. Calculate a.
-1, 4, 38, 55
Find c, given that -3*c**4 + 51*c**3 - 33*c**2 - 231*c - 144 = 0.
-1, 3, 16
Let 3*k**3/7 + 9714*k**2/7 + 1116384*k - 11303040 = 0. Calculate k.
-1624, 10
Solve -2*c**2/3 - 145450*c/3 + 48484 = 0.
-72726, 1
What is v in 3*v**4/2 + 30*v**3 - 369*v**2/2 + 87*v + 300 = 0?
-25, -1, 2, 4
Factor 2*z**3 - 11497*z**2/3 + 5508500*z/3 - 917764/3.
(z - 958)**2*(6*z - 1)/3
Factor -t**2 - 23013*t - 46022.
-(t + 2)*(t + 23011)
Factor 4*m**2 - 3084*m - 220968.
4*(m - 837)*(m + 66)
Suppose -54*b**2 + 5589*b/5 + 150 = 0. What is b?
-2/15, 125/6
Find r such that r**3/9 - 2042*r**2/9 - 227*r = 0.
-1, 0, 2043
What is y in -4*y**3 + 636*y**2 + 58180*y + 274500 = 0?
-61, -5, 225
Factor c**2/3 + 22459*c/3 + 22456.
(c + 3)*(c + 22456)/3
Factor -3*n**3 + 375*n**2 + 1932*n + 2340.
-3*(n - 130)*(n + 2)*(n + 3)
Determine w so that 20*w**5 - 648*w**4 + 5844*w**3 - 2416*w**2 - 97776*w - 56448 = 0.
-3, -3/5, 8, 14
Factor x**2 + 35706*x + 318729609.
(x + 17853)**2
Suppose 3*t**2 - 41586*t + 144116283 = 0. Calculate t.
6931
Determine q so that -212*q**2 - 33011*q + 1246 = 0.
-623/4, 2/53
Factor 2*s**4 - 3448*s**3 + 2202236*s**2 - 617319576*s + 64