5*k**2 + k + 125.
-(k - 1)*(k + 1)*(k + 125)
Factor -4*r**2/3 + 4*r/3.
-4*r*(r - 1)/3
Factor -s**3/10 + 19*s/10 - 3.
-(s - 3)*(s - 2)*(s + 5)/10
What is c in 3*c**3/5 - 42*c**2/5 - 12*c/5 + 168/5 = 0?
-2, 2, 14
What is u in -4*u**2 - 8*u - 4 = 0?
-1
Find i such that -i**3/4 + 2*i**2 + 3*i - 36 = 0.
-4, 6
Find l such that -4*l**5 + 108*l**3 + 200*l**2 + 96*l = 0.
-4, -1, 0, 6
Let 3*m**5 - 36*m**4 + 138*m**3 - 180*m**2 + 75*m = 0. What is m?
0, 1, 5
Suppose 2*p**2/23 - 1648*p/23 + 339488/23 = 0. Calculate p.
412
What is m in -75*m**5 - 420*m**4 + 7497*m**3 - 18522*m**2 = 0?
-14, 0, 21/5
Factor 3*z**2 + 23736*z + 46949808.
3*(z + 3956)**2
Find q such that q**4 + 78*q**3 - 161*q**2 - 78*q + 160 = 0.
-80, -1, 1, 2
Find z such that 2*z**5/3 - 8*z**4/3 + 2*z**3 + 8*z**2/3 - 8*z/3 = 0.
-1, 0, 1, 2
Factor -2*r**3/3 + 152*r**2 - 11552*r + 877952/3.
-2*(r - 76)**3/3
Factor 3*k**4 + 66*k**3 - 3*k**2 - 66*k.
3*k*(k - 1)*(k + 1)*(k + 22)
Find x, given that -4*x**3/3 + 1708*x**2/3 - 184864*x/3 + 179776 = 0.
3, 212
Solve 3*d**3 + 87*d**2 + 564*d + 480 = 0 for d.
-20, -8, -1
Factor 3*p**5/7 - 60*p**4/7 - 270*p**3/7 - 60*p**2 - 285*p/7 - 72/7.
3*(p - 24)*(p + 1)**4/7
Factor -2*y**4 - 212*y**3 + 432*y**2.
-2*y**2*(y - 2)*(y + 108)
Suppose -6*x**5 - 40*x**4 - 66*x**3 + 24*x**2 + 88*x = 0. Calculate x.
-11/3, -2, 0, 1
Factor -4*m**3 + 164*m**2 - 316*m + 156.
-4*(m - 39)*(m - 1)**2
Find n, given that n**2/4 + 239*n/4 + 119/2 = 0.
-238, -1
What is g in 8*g**4/3 + 10*g**3/3 - 38*g**2/3 + 14*g/3 + 2 = 0?
-3, -1/4, 1
Solve i**4/3 + 41*i**3/3 + 35*i**2/3 - 197*i/3 + 40 = 0 for i.
-40, -3, 1
Find a, given that 98*a**3 - 70*a**2 - 26*a - 2 = 0.
-1/7, 1
Factor -w**2 + 44*w - 483.
-(w - 23)*(w - 21)
Find a such that 3*a**5 - 84*a**4 + 495*a**3 - 1194*a**2 + 1284*a - 504 = 0.
1, 2, 21
Let 4*r**4/5 + 8*r**3/5 - 4*r**2/5 - 8*r/5 = 0. What is r?
-2, -1, 0, 1
Factor -4*c**2/5 + 7936*c/5 - 3936256/5.
-4*(c - 992)**2/5
Factor -5*x**3 - 170*x**2 + 545*x - 370.
-5*(x - 2)*(x - 1)*(x + 37)
Suppose -2*t**5/5 + 16*t**4 + 352*t**3/5 + 32*t**2/5 - 1376*t/5 - 1408/5 = 0. Calculate t.
-2, 2, 44
What is l in -2*l**3 - 6*l**2 + 12*l + 16 = 0?
-4, -1, 2
Suppose -3*q**4 - 15*q**3 - 12*q**2 = 0. Calculate q.
-4, -1, 0
Suppose -52*y**4 - 500*y**3 - 952*y**2 = 0. Calculate y.
-7, -34/13, 0
Factor 3*i**5/7 - 45*i**4/7 + 6*i**3.
3*i**3*(i - 14)*(i - 1)/7
Factor -2*r**2 - 15200*r - 28880000.
-2*(r + 3800)**2
What is t in 5*t**4 + 660*t**3 + 23670*t**2 + 124740*t + 178605 = 0?
-63, -3
Suppose -s**3/3 + 281*s**2/3 = 0. Calculate s.
0, 281
What is b in -5*b**5/4 + 45*b**4/4 + 25*b**3/4 - 225*b**2/4 - 5*b + 45 = 0?
-2, -1, 1, 2, 9
Factor -y**2 + 14*y - 49.
-(y - 7)**2
Find d, given that 2*d**3/5 - 206*d**2/5 + 604*d/5 - 80 = 0.
1, 2, 100
Suppose 20*c**3/3 - 6324*c**2 - 7592*c/3 = 0. What is c?
-2/5, 0, 949
Factor -k**4 + 100*k**3 - 2398*k**2 - 5100*k - 2601.
-(k - 51)**2*(k + 1)**2
Find z, given that 2*z**2/7 - 1208*z/7 - 3642/7 = 0.
-3, 607
Suppose 2172*o**4 - 2902*o**3 - 3612*o**2 + 1458*o - 4 = 0. Calculate o.
-1, 1/362, 1/3, 2
Solve -l**2 + 6438*l/7 + 1840/7 = 0 for l.
-2/7, 920
Factor -2*f**3/3 - 26*f**2 - 240*f + 800/3.
-2*(f - 1)*(f + 20)**2/3
Determine o so that -3*o**4 - 159*o**3 - 855*o**2 - 393*o + 1410 = 0.
-47, -5, -2, 1
Determine f, given that 28*f**5 - 76*f**4 + 4*f**3 + 92*f**2 - 32*f - 16 = 0.
-1, -2/7, 1, 2
Factor 15*t**2 - 6*t.
3*t*(5*t - 2)
Solve 2*d**3/3 + 188*d**2/3 - 794*d/3 - 980/3 = 0.
-98, -1, 5
Factor 30*w**2/11 - 514*w/11 + 68/11.
2*(w - 17)*(15*w - 2)/11
What is s in -2*s**4 + 38*s**3 - 194*s**2 + 90*s + 324 = 0?
-1, 2, 9
Suppose r**5/2 - r**4 - r**3 + 2*r**2 + r/2 - 1 = 0. Calculate r.
-1, 1, 2
Suppose -k**2/2 + 24*k - 47/2 = 0. Calculate k.
1, 47
Factor -k**2/3 + 38*k/3 - 80.
-(k - 30)*(k - 8)/3
Factor 4*s**3 - 168*s**2 - 540*s.
4*s*(s - 45)*(s + 3)
Determine p, given that 2*p**2/9 - 40*p/9 - 896/3 = 0.
-28, 48
Let 3*j**3/5 + 93*j**2/5 + 177*j/5 + 87/5 = 0. What is j?
-29, -1
Let -22*y**4/9 - 52*y**3/9 + 8*y**2 + 208*y/9 + 64/9 = 0. What is y?
-2, -4/11, 2
Let -2*s**2 - 106*s - 104 = 0. What is s?
-52, -1
Factor -12*c**3 - 74*c**2 - 12*c.
-2*c*(c + 6)*(6*c + 1)
Determine c so that 5*c**3 + 20*c**2 - 445*c + 420 = 0.
-12, 1, 7
What is v in -3*v**4 + 312*v**3 - 1389*v**2 - 9396*v - 10692 = 0?
-2, 9, 99
Find a, given that 8*a**5/7 + 312*a**4/7 - 646*a**3/7 + 408*a**2/7 - 82*a/7 = 0.
-41, 0, 1/2, 1
Solve i**5/7 - 8*i**4/7 + 6*i**3/7 + 8*i**2/7 - i = 0.
-1, 0, 1, 7
Find j such that -j**3/3 - 8*j**2 + 139*j/3 - 58 = 0.
-29, 2, 3
Factor 338*i**4/19 + 2496*i**3/19 + 4608*i**2/19.
2*i**2*(13*i + 48)**2/19
Factor -x**3/5 + 12*x**2/5 + 459*x/5 + 486.
-(x - 30)*(x + 9)**2/5
Factor b**2 + 898*b - 4515.
(b - 5)*(b + 903)
Factor 158*i**3 + 312*i**2 - 8*i.
2*i*(i + 2)*(79*i - 2)
Factor -b**2 + 658*b + 3984.
-(b - 664)*(b + 6)
Suppose -i**4/2 + 9*i**3/2 + 33*i**2/2 + 35*i/2 + 6 = 0. What is i?
-1, 12
Suppose -5*w**4 + 100*w**3 + 250*w**2 - 7500*w - 28125 = 0. What is w?
-5, 15
Determine w, given that -4*w**5/3 - 21*w**4 - 104*w**3/3 + 478*w**2/3 - 124*w + 65/3 = 0.
-13, -5, 1/4, 1
Factor 5*g**5 - 20*g**4 - 130*g**3 + 300*g**2 + 1125*g.
5*g*(g - 5)**2*(g + 3)**2
Factor 3*w**4 - 33*w**3 - 39*w**2 + 33*w + 36.
3*(w - 12)*(w - 1)*(w + 1)**2
Find b such that 55*b**2 + 5235*b + 950 = 0.
-95, -2/11
Suppose -23*n**5 + 67*n**4 - 63*n**3 + 17*n**2 + 2*n = 0. What is n?
-2/23, 0, 1
Let 3*q**5 + 3*q**4 - 15*q**3 - 15*q**2 + 12*q + 12 = 0. Calculate q.
-2, -1, 1, 2
Factor 4*u**3 - 4*u**2 - 8*u.
4*u*(u - 2)*(u + 1)
Find w, given that 2*w**2/9 + 4196*w/9 + 2200802/9 = 0.
-1049
Determine o so that -3*o**3 - 41*o**2 + 299*o - 95 = 0.
-19, 1/3, 5
Determine s, given that 4*s**4 - 160*s**3 - 504*s**2 - 512*s - 172 = 0.
-1, 43
Solve -n**4 - 5*n**3 - 2*n**2 + 8*n = 0 for n.
-4, -2, 0, 1
Determine p so that 7*p**5/10 + 19*p**4/10 - 52*p**3/5 - 28*p**2/5 + 152*p/5 - 8 = 0.
-5, -2, 2/7, 2
Factor 2*n**4 + 20*n**3 + 64*n**2 + 64*n.
2*n*(n + 2)*(n + 4)**2
Factor -3*g**5/2 + 3*g**4 - 3*g**3/2.
-3*g**3*(g - 1)**2/2
What is f in -11*f**5/8 + 13*f**4/8 + 97*f**3/8 - 117*f**2/8 + 9*f/4 = 0?
-3, 0, 2/11, 1, 3
Factor s**3 - 3*s**2 - 45*s + 175.
(s - 5)**2*(s + 7)
Determine k so that -2*k**4/5 - 8*k**3 - 154*k**2/5 + 484*k/5 = 0.
-11, 0, 2
What is h in -3*h**2/2 - 27*h = 0?
-18, 0
Solve b**2/3 - 17*b - 106/3 = 0.
-2, 53
Factor x**3 - x**2 - 2*x.
x*(x - 2)*(x + 1)
Find b such that b**3/4 - 559*b**2/2 + 78399*b - 155682 = 0.
2, 558
Factor z**2/4 - 1516*z + 2298256.
(z - 3032)**2/4
Find z, given that 2*z**2/9 + 14*z/9 - 16/9 = 0.
-8, 1
What is t in -2*t**3 - 60*t**2 + 62*t = 0?
-31, 0, 1
Solve 3*c**5 - 12*c**4 - 231*c**3 + 492*c**2 + 228*c - 480 = 0 for c.
-8, -1, 1, 2, 10
Find f, given that -6*f**2/7 - 447*f/7 - 63 = 0.
-147/2, -1
Let -36*c**5 + 69*c**4 + 1116*c**3 + 1119*c**2 + 252*c = 0. Calculate c.
-4, -3/4, -1/3, 0, 7
Determine s, given that 245*s**5 - 1575*s**4 + 2960*s**3 - 840*s**2 - 1360*s - 240 = 0.
-2/7, 2, 3
Let c**2/4 + 3*c/4 - 5/2 = 0. Calculate c.
-5, 2
Factor 4*t**2/5 + 16*t - 84/5.
4*(t - 1)*(t + 21)/5
Factor -3*l**3 - 96*l**2 + 3*l + 96.
-3*(l - 1)*(l + 1)*(l + 32)
Factor h**2/4 + 431*h/2 + 2577/4.
(h + 3)*(h + 859)/4
Find k such that -k**3/3 - 61*k**2/3 + k/3 + 61/3 = 0.
-61, -1, 1
Factor -5*y**2 - 12440*y.
-5*y*(y + 2488)
Factor 8*b**2 - 1052*b - 1596.
4*(b - 133)*(2*b + 3)
Find x, given that -5*x**5 + 85*x**3 - 80*x = 0.
-4, -1, 0, 1, 4
Factor -5*k**3 + 4255*k**2 + 42925*k + 107625.
-5*(k - 861)*(k + 5)**2
Find n, given that -5*n**3 + 155*n**2 + 190*n - 960 = 0.
-3, 2, 32
Let 3*d**2/7 + 1704*d/7 + 3396/7 = 0. What is d?
-566, -2
Factor -5*z**2 + 27170*z - 36910445.
-5*(z - 2717)**2
What is v in -2*v**3/17 - 12*v**2/17 + 30*v/17 - 16/17 = 0?
-8, 1
Factor 50*d**2 + 356*d + 42.
2*(d + 7)*(25*d + 3)
Factor 2*d**2 + 14*d - 340.
2*(d - 10)*(d + 17)
Factor 5*b**4 - 4890*b**3 + 1200485*b**2 - 2386320*b + 1190720.
5*(b - 488)**2*(b - 1)**2
Factor q**3/4 - 293*q**2/4 + 583*q/4 - 291/4.
(q - 291)*(q - 1)**2/4
Suppose -2*o**2 - 1492*o - 278258 = 0. What is o?
-373
Factor 351*k**3 - 486*k**2 - 444*k + 24.
3*(k - 2)*(3*k + 2)*(39*k - 2)
Factor -2*o**3/19 + 34*o**2/19 + 48*o/19 - 2016/19.
-2*(o - 12)**2*(o + 7)/19
Solve -4*v**2 + 24*v + 64 = 0 for v.
-2, 8
Factor -3*z**2 + 93*z.
-3*z*(z - 31)
Let 286*d**2/7 - 620*d/