0.
-35, -1, 1
Factor -y**5 + 18*y**4 - 101*y**3 + 132*y**2 + 252*y.
-y*(y - 7)*(y - 6)**2*(y + 1)
Let 5*n**4 + 40*n**3 + 30*n**2 - 200*n + 125 = 0. Calculate n.
-5, 1
Suppose -3*m**3 + 48*m**2 + 51*m = 0. What is m?
-1, 0, 17
Factor -26*v**2/5 - 194*v/5 + 44.
-2*(v - 1)*(13*v + 110)/5
Factor -2*k**4/7 + 332*k**3/7 - 13778*k**2/7.
-2*k**2*(k - 83)**2/7
Factor 49*a**2 + 224*a + 256.
(7*a + 16)**2
Factor -2*v**3 - 406*v**2 - 806*v - 402.
-2*(v + 1)**2*(v + 201)
Factor 585*h**3 + 1135*h**2 + 515*h - 35.
5*(h + 1)**2*(117*h - 7)
Solve 5*s**2 - 110*s = 0 for s.
0, 22
Suppose x**3 - 252*x**2 + 251*x = 0. Calculate x.
0, 1, 251
Suppose 2*q**4/13 - 14*q**3/13 - 6*q**2 - 106*q/13 - 44/13 = 0. Calculate q.
-2, -1, 11
Factor -f**2/3 - 3869*f/3 + 1290.
-(f - 1)*(f + 3870)/3
Factor -108*g**4 - 33444*g**3 - 2616843*g**2 - 4291980*g - 1778700.
-3*(g + 154)**2*(6*g + 5)**2
Determine w, given that 3*w**3/2 - 12699*w**2/2 + 17918289*w/2 - 8427568593/2 = 0.
1411
Factor 2*f**3/5 + 48*f**2/5 - 102*f/5 + 52/5.
2*(f - 1)**2*(f + 26)/5
Factor -2*f**2/5 - 102*f/5 - 616/5.
-2*(f + 7)*(f + 44)/5
Factor -2*l**2 - 2204*l - 607202.
-2*(l + 551)**2
Suppose -882*q**5 + 29904*q**4 - 252044*q**3 - 24208*q**2 - 578*q = 0. What is q?
-1/21, 0, 17
Factor -a**4/2 - 8*a**3/3 - 17*a**2/6 - 2*a/3.
-a*(a + 1)*(a + 4)*(3*a + 1)/6
Suppose 2*h**3 + 1330*h**2 + 224400*h + 1089000 = 0. What is h?
-330, -5
Determine k, given that k**4/7 - 172*k**3/7 - 75*k**2 - 4*k/7 + 100 = 0.
-2, 1, 175
Determine s, given that s**4/4 - 3*s**3/4 - 23*s**2/4 - 33*s/4 - 7/2 = 0.
-2, -1, 7
Let -g**2 + 424*g - 44944 = 0. What is g?
212
Factor 2*w**2/3 - 54*w - 332/3.
2*(w - 83)*(w + 2)/3
Factor -5*p**3/2 + 3395*p**2/2 + 1700*p.
-5*p*(p - 680)*(p + 1)/2
Let -n**3 - 2*n**2 + 8*n = 0. What is n?
-4, 0, 2
Let 27*k**3 + 132*k**2 + 127*k + 22 = 0. Calculate k.
-11/3, -1, -2/9
Find p such that -18*p**4/23 - 436*p**3/23 - 2202*p**2/23 + 5616*p/23 + 1352/23 = 0.
-13, -2/9, 2
Factor 5*x**3 - 515*x**2 + 13000*x + 13520.
5*(x - 52)**2*(x + 1)
Factor 4*v**3/7 - 176*v**2/7 - 180*v/7.
4*v*(v - 45)*(v + 1)/7
Suppose 3*n**3 - 594*n**2 + 29403*n = 0. Calculate n.
0, 99
Factor -2*w**3/7 + 24*w**2/7 + 14*w - 120/7.
-2*(w - 15)*(w - 1)*(w + 4)/7
Solve -2*v**2/9 + 80*v/9 - 26/3 = 0.
1, 39
Factor 3*c**4 - 27*c**3 + 42*c**2.
3*c**2*(c - 7)*(c - 2)
Factor 156*b**2/7 + 466*b/21 - 2/21.
2*(b + 1)*(234*b - 1)/21
Factor 4*x**3/7 + 36*x**2/7.
4*x**2*(x + 9)/7
Factor -3*o**2/4 + 93*o/4 - 315/2.
-3*(o - 21)*(o - 10)/4
Determine j so that -4*j**3/3 + 188*j**2/3 - 1900*j/3 - 2500 = 0.
-3, 25
Suppose i**2/4 + i = 0. Calculate i.
-4, 0
Suppose t**3 - 6*t**2 + 9*t - 4 = 0. Calculate t.
1, 4
Determine r, given that r**3/3 + 4*r**2/3 + r = 0.
-3, -1, 0
Factor 2*l**2/7 + 54*l/7.
2*l*(l + 27)/7
Factor -5*x**3 - 140*x**2 - 135*x.
-5*x*(x + 1)*(x + 27)
Factor 39601*n**2/4 - 597*n + 9.
(199*n - 6)**2/4
Let -3*p**3 + 126*p**2 - 1764*p + 8232 = 0. What is p?
14
Factor 2*b**3/11 - 36*b**2/11 - 38*b/11.
2*b*(b - 19)*(b + 1)/11
Factor -5*w**2 + 195*w.
-5*w*(w - 39)
Factor p**4/4 - 174*p**3 + 62267*p**2/2 - 298410*p + 2941225/4.
(p - 343)**2*(p - 5)**2/4
Solve -3*g**3 + 2550*g**2 - 536739*g - 2187948 = 0.
-4, 427
Determine u so that -3*u**2 - 42*u + 216 = 0.
-18, 4
Factor -k**4/6 + k**3/6 + 20*k**2 + 78*k.
-k*(k - 13)*(k + 6)**2/6
Determine w, given that 3*w**4 - 33*w**3 + 96*w**2 - 84*w = 0.
0, 2, 7
Find f, given that 14*f**4 - 3476*f**3 + 212742*f**2 + 377000*f - 125000 = 0.
-2, 2/7, 125
What is j in j**3/6 - 4*j**2 - 79*j/6 - 9 = 0?
-2, -1, 27
Determine m so that 4*m**3 + 136*m**2 + 260*m + 128 = 0.
-32, -1
Factor -r**4/5 - 2184*r**3/5 - 318426*r**2 - 388997344*r/5 - 1152721749/5.
-(r + 3)*(r + 727)**3/5
What is b in -14*b**5/3 + 176*b**4/3 - 310*b**3/3 + 148*b**2/3 = 0?
0, 1, 74/7
Factor -5*l**4 - 2710*l**3 - 369905*l**2 - 731700*l - 364500.
-5*(l + 1)**2*(l + 270)**2
Factor -5*s**4 - 50*s**3 + 185*s**2 - 130*s.
-5*s*(s - 2)*(s - 1)*(s + 13)
Determine l so that -l**5 + 7*l**4 + 67*l**3 + 137*l**2 + 78*l = 0.
-3, -2, -1, 0, 13
Solve 2*s**4 + 38*s**3 + 130*s**2 + 154*s + 60 = 0 for s.
-15, -2, -1
Factor -4*a**2 - 180*a - 1184.
-4*(a + 8)*(a + 37)
Factor -3*v**4/4 - 1803*v**3 + 10827*v**2/2 - 5415*v + 7221/4.
-3*(v - 1)**3*(v + 2407)/4
Factor -3*x**2 + 9*x + 210.
-3*(x - 10)*(x + 7)
Factor -2*q**2 - 628*q + 1902.
-2*(q - 3)*(q + 317)
Suppose 21*w**3 + 489*w**2/4 - 45*w/2 = 0. What is w?
-6, 0, 5/28
Factor -5*y**4 + 9730*y**3 - 4743365*y**2 + 9457560*y - 4723920.
-5*(y - 972)**2*(y - 1)**2
Factor 49*n**4/8 + 217*n**3/8 - 215*n**2/4 + 47*n/2 - 3.
(n - 1)*(n + 6)*(7*n - 2)**2/8
Solve -21*f**2 + 123*f + 18 = 0 for f.
-1/7, 6
Solve 180*h**5 - 600*h**4 + 185*h**3 + 705*h**2 - 240*h + 20 = 0 for h.
-1, 1/6, 2
Solve 38*s**5/7 + 376*s**4/7 + 168*s**3 + 1088*s**2/7 - 128*s/7 = 0 for s.
-4, -2, 0, 2/19
Determine f so that -f**2/4 - 7*f/4 + 2 = 0.
-8, 1
Determine m so that m**2/8 - 7*m + 343/8 = 0.
7, 49
Solve z**4/5 - 9*z**3/5 + 13*z**2/5 + 9*z - 10 = 0.
-2, 1, 5
Solve m**5/2 - 13*m**3/2 + 18*m = 0 for m.
-3, -2, 0, 2, 3
Let 125*k**4 - 150*k**3 - 55*k**2 + 60*k + 20 = 0. What is k?
-2/5, 1
Factor 2*l**2/3 + 2*l - 12.
2*(l - 3)*(l + 6)/3
Determine j, given that 4*j**5 + 976*j**4 + 52312*j**3 - 881328*j**2 + 3261636*j = 0.
-129, 0, 7
Determine v so that -v**5/8 - 3*v**4/4 - 7*v**3/4 - 2*v**2 - 9*v/8 - 1/4 = 0.
-2, -1
Factor -2*a**3/13 + 32*a**2/13 - 110*a/13 - 144/13.
-2*(a - 9)*(a - 8)*(a + 1)/13
Factor 2*m**5/7 + 94*m**4/7.
2*m**4*(m + 47)/7
Factor 2*j**2/7 + 1154*j/7 + 1140.
2*(j + 7)*(j + 570)/7
Solve 35*o**2 + 95*o - 30 = 0 for o.
-3, 2/7
Determine r, given that -r**2/5 + 4377*r/5 - 4376/5 = 0.
1, 4376
Factor -5*n**4 - 10*n**3 + 10*n + 5.
-5*(n - 1)*(n + 1)**3
Determine v so that -125*v**5/4 + 50*v**4 - 45*v**3/2 + 4*v**2 - v/4 = 0.
0, 1/5, 1
Factor 2*h**2/7 - 324*h/7 + 46.
2*(h - 161)*(h - 1)/7
Find f such that -21*f**4 - 15*f**3 + 468*f**2 + 708*f - 240 = 0.
-4, -2, 2/7, 5
Suppose -3*o**3 + 180*o**2 - 1296*o - 46656 = 0. Calculate o.
-12, 36
Find t such that -t**3/2 + 8*t**2 - 51*t/2 + 18 = 0.
1, 3, 12
Factor -12*z**5 - 20*z**4 - 4*z**3 + 4*z**2.
-4*z**2*(z + 1)**2*(3*z - 1)
What is m in -2*m**5/7 - 16*m**4/7 + 24*m**3/7 + 44*m**2/7 - 86*m/7 + 36/7 = 0?
-9, -2, 1
What is z in -5*z**3 + 60*z**2 + 75*z - 130 = 0?
-2, 1, 13
Factor 3*g**3/2 + 12*g**2 + 51*g/2 + 15.
3*(g + 1)*(g + 2)*(g + 5)/2
Determine d so that -2*d**4/13 + 12*d**3/13 - 6*d**2/13 - 20*d/13 = 0.
-1, 0, 2, 5
Factor v**5 + 191*v**4 + 8631*v**3 - 46651*v**2 + 66640*v - 28812.
(v - 3)*(v - 1)**2*(v + 98)**2
Factor -u**3/3 + 62*u**2/3 - 95*u.
-u*(u - 57)*(u - 5)/3
Suppose h**3 - 38*h**2 + 25*h + 444 = 0. What is h?
-3, 4, 37
Determine j so that -2*j**5/3 - 2*j**4 + 14*j**3/3 + 18*j**2 + 12*j = 0.
-3, -2, -1, 0, 3
Factor -p**3/6 - p**2/2 + 14*p/3.
-p*(p - 4)*(p + 7)/6
Factor -k**3 - 13*k**2 - 23*k - 11.
-(k + 1)**2*(k + 11)
Solve -2*q**3 + 1160*q**2 - 6906*q + 10332 = 0.
3, 574
Factor 17*x**2/5 - 21*x/5 + 4/5.
(x - 1)*(17*x - 4)/5
Determine y, given that -5*y**2 - 605*y - 600 = 0.
-120, -1
Factor 3*h**5 + 24*h**4 - 3*h**3 - 24*h**2.
3*h**2*(h - 1)*(h + 1)*(h + 8)
Find w, given that -4*w**3 + 308*w**2 + 1280*w + 1296 = 0.
-2, 81
Find v such that -32*v**5/5 + 58*v**4/3 - 98*v**3/5 + 34*v**2/5 - 2*v/15 = 0.
0, 1/48, 1
Solve -v**5/2 + 7*v**4/2 - 13*v**3/2 + v**2/2 + 7*v - 4 = 0 for v.
-1, 1, 2, 4
Factor 14*x**5/15 - 116*x**4/15 + 256*x**3/15 - 64*x**2/15.
2*x**2*(x - 4)**2*(7*x - 2)/15
Suppose -17*w**2/4 + 19*w/2 - 21/4 = 0. Calculate w.
1, 21/17
Factor 5*q**5 - 81*q**4 + 241*q**3 + 765*q**2 - 162*q.
q*(q - 9)**2*(q + 2)*(5*q - 1)
Factor 7*x**2/5 - 3*x + 8/5.
(x - 1)*(7*x - 8)/5
Find j, given that -5*j**3 + 185*j**2 - 350*j = 0.
0, 2, 35
Factor -i**2 + 220*i - 219.
-(i - 219)*(i - 1)
Factor -5*u**3 + 1045*u**2 - 49595*u - 534645.
-5*(u - 109)**2*(u + 9)
Factor -2*x**2 + 498*x + 500.
-2*(x - 250)*(x + 1)
Factor 2*d**3 + 5750*d**2 + 4135686*d + 4129938.
2*(d + 1)*(d + 1437)**2
Factor -i**2/2 - 27*i - 713/2.
-(i + 23)*(i + 31)/2
Factor 4*i**3 + 112*i**2 + 196*i - 312.
4*(i - 1)*(i + 3)*(i + 26)
Find s, given that -8*s**3 + 6*s**2 + 2*s = 0.
-1/4, 0, 1
Determine u, given that -6*u**2/17 - 514*u/17 - 20 = 0.
-85, -2/3
Factor t**3/4 - 5*t**2/4 - 8*t - 9.
(t - 9)*(t + 2)**2/4
Let -2*l**5 - 240*l**4 - 1804*l**3 - 1