ctor 3*r**5 + 6*r**4/5.
3*r**4*(5*r + 2)/5
Solve g**4/4 + 8*g**3 + 133*g**2/4 - 1083*g/2 = 0.
-19, 0, 6
Determine d so that 2*d**5/7 + 130*d**4/7 + 354*d**3 + 10846*d**2/7 - 13456*d/7 = 0.
-29, -8, 0, 1
Let 625*f**5 - 14500*f**4 + 41800*f**3 - 36640*f**2 + 12880*f - 1600 = 0. What is f?
2/5, 2, 20
Factor -m**3/3 - 68*m**2/3 - 1085*m/3 + 2450/3.
-(m - 2)*(m + 35)**2/3
Factor -t**2 - 26*t + 27.
-(t - 1)*(t + 27)
Factor n**3/6 + n**2/6 - 2*n/3 - 2/3.
(n - 2)*(n + 1)*(n + 2)/6
Suppose -l**3/6 - 19*l**2/6 - 40*l/3 + 50/3 = 0. What is l?
-10, 1
Factor b**4/2 + b**3/4 - 3*b**2/4 - b/4 + 1/4.
(b - 1)*(b + 1)**2*(2*b - 1)/4
Factor -d**5 + 271*d**4 - 19546*d**3 + 161550*d**2 - 470421*d + 463347.
-(d - 131)**2*(d - 3)**3
Suppose 9*o**2/7 - 375*o/7 - 18 = 0. Calculate o.
-1/3, 42
Determine c, given that 169*c**4/4 - 40703*c**3/2 + 9790629*c**2/4 + 754571*c + 58081 = 0.
-2/13, 241
Factor 3*i**2 - 321*i - 654.
3*(i - 109)*(i + 2)
Factor t**3 + t**2 - 6*t.
t*(t - 2)*(t + 3)
What is a in -5*a**4 + 90*a**3 + 295*a**2 - 6300*a - 24500 = 0?
-5, 14
Factor -4*x**3 + 1164*x**2 + 2340*x + 1172.
-4*(x - 293)*(x + 1)**2
Let 3*x**4 - 84*x**3 + 159*x**2 - 78*x = 0. What is x?
0, 1, 26
Suppose x**2/6 + 2*x/3 + 2/3 = 0. What is x?
-2
Determine z so that -75*z**4 + 15840*z**3 - 829992*z**2 - 671616*z - 134832 = 0.
-2/5, 106
Factor 4*i**2 - 40*i - 44.
4*(i - 11)*(i + 1)
Let 2*y**4/13 + 340*y**3/13 + 14786*y**2/13 + 28560*y/13 + 14112/13 = 0. What is y?
-84, -1
Factor -3*j**4 - 120*j**3 - 936*j**2 + 5280*j - 5808.
-3*(j - 2)**2*(j + 22)**2
Factor 4*b**4/5 + 212*b**3/5 - 224*b**2/5 - 432*b/5.
4*b*(b - 2)*(b + 1)*(b + 54)/5
Factor 3*d**3 + 7725*d**2 + 4976829*d + 4969107.
3*(d + 1)*(d + 1287)**2
Factor -l**4/5 - 52*l**3/5 - 772*l**2/5 - 2496*l/5 - 2304/5.
-(l + 2)**2*(l + 24)**2/5
Factor q**4 - 5*q**3 - 3*q**2 + 13*q + 10.
(q - 5)*(q - 2)*(q + 1)**2
Factor -18*j**3 + 102*j**2 + 160*j + 56.
-2*(j - 7)*(3*j + 2)**2
Factor u**2 - 8034*u + 16136289.
(u - 4017)**2
Factor 64*g**2 - 12*g.
4*g*(16*g - 3)
Let -z**5 + 15*z**4/2 - 23*z**3/2 - 12*z**2 + 8*z = 0. What is z?
-1, 0, 1/2, 4
Let -5*j**3 - 15*j**2 + 470*j - 840 = 0. What is j?
-12, 2, 7
Factor -2*f**2/13 + 596*f/13 - 1770/13.
-2*(f - 295)*(f - 3)/13
Factor 2*k**3 - 1442*k**2 - 5794*k - 4350.
2*(k - 725)*(k + 1)*(k + 3)
Factor -d**3/2 - 2*d**2 + d/2 + 2.
-(d - 1)*(d + 1)*(d + 4)/2
Factor -g**3/4 + 27*g**2 - 3213*g/4 + 7803/2.
-(g - 51)**2*(g - 6)/4
Factor 10000*p**4/11 + 252000*p**3/11 + 2381400*p**2/11 + 10001880*p/11 + 15752961/11.
(10*p + 63)**4/11
Factor 4*t**3 - 4248*t**2 - 8508*t - 4256.
4*(t - 1064)*(t + 1)**2
Factor -c**2/6 - 11*c/2 + 74/3.
-(c - 4)*(c + 37)/6
Suppose -2*t**2/19 - 94*t/19 - 884/19 = 0. What is t?
-34, -13
Factor -2*g**3/5 + 4*g**2/5 + 72*g/5 - 144/5.
-2*(g - 6)*(g - 2)*(g + 6)/5
What is y in -4*y**3 - 496*y**2 - 15376*y = 0?
-62, 0
Factor -b**2/11 + 21*b/11 + 46/11.
-(b - 23)*(b + 2)/11
Suppose 5*i**5 + 50*i**4 - 15*i**3 - 140*i**2 + 100*i = 0. Calculate i.
-10, -2, 0, 1
Let r**3 - 5*r**2 - 697*r + 8381 = 0. What is r?
-29, 17
Factor 2*r**5/13 + 8*r**4/13 + 12*r**3/13 + 8*r**2/13 + 2*r/13.
2*r*(r + 1)**4/13
What is h in -h**5 + h**4 + 53*h**3 - 273*h**2 + 504*h - 324 = 0?
-9, 2, 3
Let b**3 + 4*b**2 - 5*b = 0. What is b?
-5, 0, 1
Factor -98*z**3 + 924*z**2 + 552*z + 80.
-2*(z - 10)*(7*z + 2)**2
Factor -8*b**4 + 9388*b**3 - 14070*b**2 + 7033*b - 1172.
-(b - 1172)*(2*b - 1)**3
Factor m**2/5 - 3744*m/5 + 3504384/5.
(m - 1872)**2/5
Find z such that -2*z**5/9 - 32*z**4/9 - 16*z**3/9 + 212*z**2/9 + 2*z - 20 = 0.
-15, -3, -1, 1, 2
Find y such that -40*y**2/9 + 26*y/3 + 14 = 0.
-21/20, 3
What is q in -4*q**3 + 12*q**2 + 184*q - 192 = 0?
-6, 1, 8
Factor -b**4/11 - 36*b**3/11 + 75*b**2/11 - 38*b/11.
-b*(b - 1)**2*(b + 38)/11
Factor 15*i**3 - 39*i**2 - 27*i + 27.
3*(i - 3)*(i + 1)*(5*i - 3)
Factor 3*s**3 - 2691*s**2 - 5391*s - 2697.
3*(s - 899)*(s + 1)**2
What is x in -x**3 - 82*x**2 - 1760*x - 3200 = 0?
-40, -2
Let -s**2/2 + 5*s/2 + 18 = 0. Calculate s.
-4, 9
Suppose -2*g**2 - 1492*g - 278258 = 0. What is g?
-373
Suppose -98*k**4/3 + 3024*k**3 - 14078*k**2/3 + 1944*k - 728/3 = 0. Calculate k.
2/7, 1, 91
Solve -36*j**4 + 1720*j**3 - 20352*j**2 - 4608*j = 0.
-2/9, 0, 24
Determine a so that 2*a**4/7 + 68*a**3/7 - 384*a**2/7 - 3100*a - 21250/7 = 0.
-25, -1, 17
Find a, given that 5*a**2/4 + 11*a/4 + 3/2 = 0.
-6/5, -1
Factor 2*t**2/11 - 10*t/11 - 208/11.
2*(t - 13)*(t + 8)/11
Factor d**4/9 + 7*d**3/9 - 7*d**2/3 - 3*d.
d*(d - 3)*(d + 1)*(d + 9)/9
Let -n**4 - 140*n**3 + 717*n**2 - 1156*n + 580 = 0. What is n?
-145, 1, 2
Factor -1058*p**4/11 + 2208*p**3/11 - 1244*p**2/11 + 96*p/11 - 2/11.
-2*(p - 1)**2*(23*p - 1)**2/11
Find t, given that 15*t**2 + 31645*t + 21090 = 0.
-2109, -2/3
Find m such that 4*m**3/3 - 1932*m**2 + 700832*m - 2096704/3 = 0.
1, 724
Suppose 2*r**3/13 + 126*r**2/13 + 2046*r/13 + 1922/13 = 0. Calculate r.
-31, -1
Factor -9*w**2/5 - 4*w - 4/5.
-(w + 2)*(9*w + 2)/5
What is b in 12*b**2 + 8072*b + 5376 = 0?
-672, -2/3
Find k, given that -4*k**2 - 1384*k + 5600 = 0.
-350, 4
Suppose -5*q**5/2 + 5*q**4 + 15*q**3/2 - 20*q**2 + 10*q = 0. What is q?
-2, 0, 1, 2
Factor -f**2/8 - 25*f/8 - 23/4.
-(f + 2)*(f + 23)/8
What is f in 4*f**2 + 20*f + 24 = 0?
-3, -2
Factor -3*j**2/4 - 1563*j/2 - 814323/4.
-3*(j + 521)**2/4
Factor -m**3/7 + 779*m**2/7 - 152099*m/7 + 151321/7.
-(m - 389)**2*(m - 1)/7
Find p such that -5*p**2 - 365*p - 3660 = 0.
-61, -12
Let -4*b**3 + 3668*b**2 - 846364*b + 2506188 = 0. What is b?
3, 457
Factor 2*g**5/13 - 44*g**4/13 - 200*g**3/13 - 16*g**2.
2*g**2*(g - 26)*(g + 2)**2/13
Solve -t**3/4 - 367*t**2/4 - 731*t/4 - 365/4 = 0.
-365, -1
Find d, given that -2*d**4/5 + 23*d**3/5 - 76*d**2/5 + 52*d/5 + 48/5 = 0.
-1/2, 2, 4, 6
Find n, given that 3*n**2/5 + 177*n/5 = 0.
-59, 0
Find f such that 55*f**5/3 - 20*f**4 - 35*f**3 + 10*f**2/3 = 0.
-1, 0, 1/11, 2
Factor 5*w**4 - 95*w**2 + 30*w + 360.
5*(w - 3)**2*(w + 2)*(w + 4)
Determine s, given that -2*s**2/17 - 8000*s/17 - 15992/17 = 0.
-3998, -2
Factor -21*o**2/4 - 3*o + 9/4.
-3*(o + 1)*(7*o - 3)/4
Let 3*i**5 + 39*i**4 - 51*i**3 - 1083*i**2 + 2148*i - 1056 = 0. Calculate i.
-11, -8, 1, 4
Find j such that -3*j**2 + 3*j + 18 = 0.
-2, 3
Factor -n**3/10 - 107*n**2/10 + n/10 + 107/10.
-(n - 1)*(n + 1)*(n + 107)/10
Factor 5*n**5 + 70*n**4 + 60*n**3 - 1350*n**2 + 1215*n.
5*n*(n - 3)*(n - 1)*(n + 9)**2
Factor -2*h**2 - 6*h + 8.
-2*(h - 1)*(h + 4)
Suppose j**4/7 - 55*j**3/7 + 783*j**2/7 - 729*j/7 = 0. What is j?
0, 1, 27
Suppose q**5/3 + 2*q**4 + 2*q**3 - 20*q**2/3 - 13*q - 6 = 0. Calculate q.
-3, -1, 2
Solve 2*z**5 - 8*z**4 - 86*z**3 + 188*z**2 + 984*z + 720 = 0 for z.
-5, -2, -1, 6
Factor -x**2/5 - 12*x/5 - 27/5.
-(x + 3)*(x + 9)/5
Factor 18*w**2/5 - 48*w/5 + 32/5.
2*(3*w - 4)**2/5
Factor h**3/3 + 115*h**2/3 + 332*h/3 - 448/3.
(h - 1)*(h + 4)*(h + 112)/3
Let -2*v**2/19 + 1628*v/19 - 4866/19 = 0. Calculate v.
3, 811
Factor -4*g**2 - 1008*g + 1012.
-4*(g - 1)*(g + 253)
Solve d**2/3 + 224*d + 671/3 = 0 for d.
-671, -1
Factor 3*j**2/5 - 27*j + 378/5.
3*(j - 42)*(j - 3)/5
Let 2*s**2/9 + 466*s/3 - 1400/9 = 0. What is s?
-700, 1
Factor 2*p**3 + 68*p**2 + 130*p + 64.
2*(p + 1)**2*(p + 32)
Factor -4*c**5 - 20*c**4 - 24*c**3.
-4*c**3*(c + 2)*(c + 3)
Let -18*k**4/5 + 7*k**3 + 4*k**2 - 7*k - 2/5 = 0. What is k?
-1, -1/18, 1, 2
Solve -25*v**5 - 85*v**4 + 1095*v**3 - 1475*v**2 + 130*v + 360 = 0.
-9, -2/5, 1, 4
Factor 75*m**3 - 205*m**2 - 75*m + 45.
5*(m - 3)*(3*m - 1)*(5*m + 3)
Let 15*b**5 - 3095*b**4 + 157045*b**3 + 269355*b**2 + 55120*b - 54080 = 0. What is b?
-1, 1/3, 104
Suppose j**5/7 - 13*j**4/7 + 43*j**3/7 + 3*j**2 - 144*j/7 - 108/7 = 0. Calculate j.
-1, 3, 6
Factor -2*r**2 + 58*r + 592.
-2*(r - 37)*(r + 8)
Factor 2*g**2/5 + 248*g/5 + 246/5.
2*(g + 1)*(g + 123)/5
Find v, given that -2*v**5 - 458*v**4 - 442*v**3 + 3218*v**2 + 5940*v + 2736 = 0.
-228, -2, -1, 3
Find r such that -2*r**2/5 - 10*r - 48/5 = 0.
-24, -1
Determine v, given that -18*v**4 - 16500*v**3 + 38566*v**2 - 29400*v + 7352 = 0.
-919, 2/3, 1
Determine r, given that 2*r**3/7 + 580*r**2/7 + 1726*r/7 + 164 = 0.
-287, -2, -1
Factor r**2/2 + 4*r + 15/2.
(r + 3)*(r + 5)/2
Factor 7*d**2/2 + 12535*d/2 - 1791.
(d + 1791)*(7*d - 2)/2
Factor -r**5/6 + 77*r**4 - 53821*r**3/6 + 17710*r**2 - 26450*r/3.
-r*(r - 230)**2*(r -