-f**4 - 5*f**3 - 6*f**2 + 4*f + 8.
-(f - 1)*(f + 2)**3
Suppose h**3 - h**2 = 0. Calculate h.
0, 1
Factor 4*p**3 - 12*p**2 - 24*p + 32.
4*(p - 4)*(p - 1)*(p + 2)
Factor -1875*r**4 - 96000*r**3 - 1843200*r**2 - 15728640*r - 50331648.
-3*(5*r + 64)**4
Factor -2*s**4 - 30*s**3 - 52*s**2.
-2*s**2*(s + 2)*(s + 13)
Factor -g**3 + 411*g**2.
-g**2*(g - 411)
Find x, given that 3*x**2 - 1788*x + 266412 = 0.
298
Suppose -2*k**2/19 - 4*k + 336/19 = 0. What is k?
-42, 4
Suppose 15*r**5/7 + 32*r**4/7 - 1252*r**3/7 + 2214*r**2/7 - 1163*r/7 + 22 = 0. Calculate r.
-11, 1/5, 2/3, 1, 7
Determine n, given that n**4/5 + 18*n**3/5 - 4*n**2 - 18*n/5 + 19/5 = 0.
-19, -1, 1
Determine m, given that -5*m**4 - 340*m**3 - 3585*m**2 - 12850*m - 14000 = 0.
-56, -5, -2
Find y, given that 3*y**2/2 - 153*y/2 = 0.
0, 51
Factor 29*a**4/6 + 10*a**3 + 2*a**2/3.
a**2*(a + 2)*(29*a + 2)/6
Find b, given that 6*b**5/5 - 36*b**4/5 + 66*b**3/5 - 12*b**2/5 - 72*b/5 + 48/5 = 0.
-1, 1, 2
Factor 4*m**3/19 - 2*m**2/19 - 16*m/19 - 10/19.
2*(m + 1)**2*(2*m - 5)/19
Let -3*g**2/5 - 108*g/5 + 1551/5 = 0. What is g?
-47, 11
Find j such that -8*j**5/5 - 54*j**4/5 - 134*j**3/5 - 144*j**2/5 - 56*j/5 = 0.
-2, -7/4, -1, 0
Factor -f**4/3 - 30*f**3 - 644*f**2 + 4232*f/3.
-f*(f - 2)*(f + 46)**2/3
Let 5*n**4 - 75*n**3 + 160*n**2 + 660*n = 0. What is n?
-2, 0, 6, 11
Factor -220*l**4 + 97012*l**3/7 - 290988*l**2 + 2035908*l + 10584.
-4*(l - 21)**3*(385*l + 2)/7
Determine k, given that -2*k**4/3 + 20*k**3/3 + 34*k**2/3 - 44*k = 0.
-3, 0, 2, 11
Factor -4*h**3 + 456*h**2 - 1772*h + 1320.
-4*(h - 110)*(h - 3)*(h - 1)
Factor -3*j**4 - 288*j**3 - 7464*j**2 - 26496*j - 25392.
-3*(j + 2)**2*(j + 46)**2
What is g in 4*g**4 - 288*g**3 + 1364*g**2 - 1608*g = 0?
0, 2, 3, 67
Factor 3*j**2 - 57*j + 270.
3*(j - 10)*(j - 9)
Find z such that 5*z**5/4 + 12*z**4 + 45*z**3/4 - 73*z**2/2 + 12*z = 0.
-8, -3, 0, 2/5, 1
Determine s, given that -4*s**2 - 440*s - 12100 = 0.
-55
Determine a so that 8*a**4/7 + 6*a**3/7 - 10*a**2/7 - 6*a/7 + 2/7 = 0.
-1, 1/4, 1
Determine m so that -2*m**2 + 28*m + 30 = 0.
-1, 15
Find h, given that 34*h**2/5 - 66*h/5 - 4/5 = 0.
-1/17, 2
Suppose -2*v**5 - 970*v**4 - 157460*v**3 - 8658580*v**2 - 16848650*v - 8346562 = 0. Calculate v.
-161, -1
Find s, given that -s**5/7 + 58*s**4/7 + s**3/7 - 58*s**2/7 = 0.
-1, 0, 1, 58
Factor 2*d**5/3 - 8*d**4/3 - 376*d**3/3 + 1856*d**2/3 + 17920*d/3 - 102400/3.
2*(d - 8)**3*(d + 10)**2/3
Suppose -4*s**4/7 - 4*s**3 - 60*s**2/7 - 36*s/7 = 0. Calculate s.
-3, -1, 0
Determine j, given that -2*j**2 + 44*j - 240 = 0.
10, 12
Suppose -6*j**3/5 + 22*j**2/5 - 12*j/5 = 0. Calculate j.
0, 2/3, 3
Factor -2*z**3/7 + 3622*z**2/7 - 1638048*z/7 - 1641672/7.
-2*(z - 906)**2*(z + 1)/7
What is v in -v**4 + 4*v**3 + 21*v**2 = 0?
-3, 0, 7
Let -2*c**4/3 + 94*c**3/9 - 358*c**2/9 + 170*c/9 + 100/9 = 0. What is c?
-1/3, 1, 5, 10
Factor -3*c**2 - 48*c + 396.
-3*(c - 6)*(c + 22)
Factor 2*z**3/7 + 6*z**2/7 - 20*z/7.
2*z*(z - 2)*(z + 5)/7
Let 5*t**3 - 7815*t**2 + 15615*t - 7805 = 0. What is t?
1, 1561
Factor -4*l**2/7 - 120*l/7 + 256/7.
-4*(l - 2)*(l + 32)/7
Find b such that -5*b**2/2 + 20*b - 30 = 0.
2, 6
Let i**5/2 - 39*i**4/2 + 76*i**3 + 2400*i**2 + 2304*i = 0. Calculate i.
-8, -1, 0, 24
Suppose -5*y**2 + 90*y - 85 = 0. Calculate y.
1, 17
Factor 11*a**2 - 18*a - 45.
(a - 3)*(11*a + 15)
Solve -t**2/7 + t + 30/7 = 0 for t.
-3, 10
Suppose c**3/3 + 4*c**2 + 7*c + 10/3 = 0. What is c?
-10, -1
Factor 4*s**5 - 12*s**4 - 28*s**3 + 60*s**2 + 72*s.
4*s*(s - 3)**2*(s + 1)*(s + 2)
Determine x, given that -2*x**4 + 18*x**3 + 80*x**2 - 72*x - 288 = 0.
-3, -2, 2, 12
Factor -n**3/5 + 68*n**2 + 1027*n/5 + 686/5.
-(n - 343)*(n + 1)*(n + 2)/5
What is d in -2*d**5/11 + 16*d**4/11 - 12*d**3/11 - 16*d**2/11 + 14*d/11 = 0?
-1, 0, 1, 7
Factor 2*i**3 - 36*i**2 + 202*i - 360.
2*(i - 9)*(i - 5)*(i - 4)
Solve 6*f**3/5 - 26*f**2 + 272*f/5 + 608/5 = 0 for f.
-4/3, 4, 19
Factor 3*v**3 - 27*v**2 + 72*v - 48.
3*(v - 4)**2*(v - 1)
Solve 4*v**4 + 68*v**3 - 340*v**2 - 68*v + 336 = 0 for v.
-21, -1, 1, 4
Factor k**4/2 + 3*k**3 - 11*k + 15/2.
(k - 1)**2*(k + 3)*(k + 5)/2
Factor -p**2/6 + 2767*p/3 - 7656289/6.
-(p - 2767)**2/6
Solve -2*k**2/19 - 4542*k/19 = 0.
-2271, 0
Find s, given that -2*s**3 - 18*s**2 - 46*s - 30 = 0.
-5, -3, -1
Factor b**4 + 117*b**3 + 345*b**2 + 343*b + 114.
(b + 1)**3*(b + 114)
What is f in -49*f**4/3 - 224*f**3/3 + 43*f**2 + 124*f/3 + 20/3 = 0?
-5, -2/7, 1
Find v, given that -2*v**5 - 2*v**4 + 10*v**3 + 10*v**2 - 8*v - 8 = 0.
-2, -1, 1, 2
Factor 22*u**5 - 196*u**4 + 688*u**3 - 1184*u**2 + 992*u - 320.
2*(u - 2)**4*(11*u - 10)
Solve 4*n**5 + 132*n**4 + 1188*n**3 + 3980*n**2 + 4200*n = 0 for n.
-21, -5, -2, 0
Determine v so that -4*v**5 + 20*v**4 + 4*v**3 - 20*v**2 = 0.
-1, 0, 1, 5
Find m, given that 2*m**2/5 + 36*m/5 - 2576/5 = 0.
-46, 28
Determine i so that -i**4/2 - 25*i**3/2 - 54*i**2 - 82*i - 40 = 0.
-20, -2, -1
Factor -i**3/5 - 526*i**2/5 - 69169*i/5.
-i*(i + 263)**2/5
Factor t**4 - 12*t**3 - 18*t**2 + 324*t + 729.
(t - 9)**2*(t + 3)**2
Suppose 2*g**2 - 18 = 0. What is g?
-3, 3
Solve 3*o**5 - 21*o**4 + 33*o**3 - 15*o**2 = 0 for o.
0, 1, 5
Factor g**2/2 + 1919*g + 3682561/2.
(g + 1919)**2/2
Suppose 3*t**2 + 90*t = 0. What is t?
-30, 0
Suppose -u**4 - 8*u**3 - 18*u**2 + 27 = 0. What is u?
-3, 1
Determine i, given that i**4/4 + 3*i**3/4 - 3*i**2/4 - 11*i/4 - 3/2 = 0.
-3, -1, 2
Let -4*o**3/5 + 8*o**2/5 + 12*o/5 = 0. What is o?
-1, 0, 3
Factor d**3/4 - 138*d**2 + 19845*d - 218700.
(d - 270)**2*(d - 12)/4
Factor -2*o**2/5 - 16*o - 78/5.
-2*(o + 1)*(o + 39)/5
Factor -2*x**2/5 + 80*x - 1182/5.
-2*(x - 197)*(x - 3)/5
Factor 3*q**4 + 9*q**3 + 9*q**2 + 3*q.
3*q*(q + 1)**3
Suppose -b**3/4 + 3*b**2/4 + b - 3 = 0. Calculate b.
-2, 2, 3
Factor -44*w**3 - 668*w**2 + 5424*w + 1008.
-4*(w - 6)*(w + 21)*(11*w + 2)
Factor 2*c**3 + 74*c**2 + 646*c - 722.
2*(c - 1)*(c + 19)**2
Solve -x**4/3 + 2*x**3/3 + x**2/3 - 2*x/3 = 0.
-1, 0, 1, 2
Find c, given that c**3/5 + 6*c**2/5 - 3*c + 8/5 = 0.
-8, 1
Factor v**2/3 + 6*v + 27.
(v + 9)**2/3
Determine a so that -a**3 + 7*a**2 - 7*a - 15 = 0.
-1, 3, 5
Factor 15928081*c**2/4 - 3991*c + 1.
(3991*c - 2)**2/4
Factor -5*s**2 - 5*s.
-5*s*(s + 1)
Find l, given that 14*l**4/9 + 10*l**3/9 - 52*l**2/9 - 16*l/3 = 0.
-12/7, -1, 0, 2
What is g in 2*g**4 - 6*g**3 - 58*g**2 + 6*g + 56 = 0?
-4, -1, 1, 7
Factor 2*q**3/5 - 208*q**2/5 + 386*q - 940.
2*(q - 94)*(q - 5)**2/5
Let -x**3 - 545*x**2 - 74528*x - 73984 = 0. What is x?
-272, -1
Factor k**2 + 40*k + 76.
(k + 2)*(k + 38)
Suppose 75*y**5 - 90*y**4 - 273*y**3 + 360*y**2 - 108*y = 0. Calculate y.
-2, 0, 3/5, 2
Determine b so that 16*b**5 - 172*b**4 + 392*b**3 - 332*b**2 + 96*b = 0.
0, 3/4, 1, 8
Solve f**2/2 - 43*f + 85/2 = 0 for f.
1, 85
Factor -2*j**3/7 + 4*j**2/7 + 370*j/7 - 156.
-2*(j - 13)*(j - 3)*(j + 14)/7
Factor -2*r**2/5 + 240*r - 1198/5.
-2*(r - 599)*(r - 1)/5
Factor 2*f**2/7 - 20*f + 992/7.
2*(f - 62)*(f - 8)/7
Factor 4*x**4 + 4*x**3 - 36*x**2 - 36*x.
4*x*(x - 3)*(x + 1)*(x + 3)
Suppose 255*j**4/2 - 252*j**3 - 6*j**2 = 0. Calculate j.
-2/85, 0, 2
Factor -5*u**3 + 510*u**2 - 17340*u + 196520.
-5*(u - 34)**3
Let 5*k**5/4 - 315*k**4 + 935*k**3 - 615*k**2/2 - 3745*k/4 + 1245/2 = 0. Calculate k.
-1, 1, 2, 249
Factor 21*h**5 + 162*h**4 + 456*h**3 + 528*h**2 + 144*h - 96.
3*(h + 2)**4*(7*h - 2)
Factor c**3/5 + 196*c**2/5 - 796*c/5 + 160.
(c - 2)**2*(c + 200)/5
Factor 2*h**3/3 - 110*h**2/3 - 472*h/3.
2*h*(h - 59)*(h + 4)/3
Suppose -28*h**4 + 300*h**3 - 864*h**2 + 400*h + 192 = 0. What is h?
-2/7, 1, 4, 6
Factor -h**4/2 - 10*h**3 + 33*h**2 - 34*h + 23/2.
-(h - 1)**3*(h + 23)/2
Let -4*c**2 - 1752*c + 1756 = 0. Calculate c.
-439, 1
What is s in -4*s**5 - 32*s**4 + 84*s**3 + 32*s**2 - 80*s = 0?
-10, -1, 0, 1, 2
Determine o, given that 4*o**2 + 148*o - 840 = 0.
-42, 5
Solve 2*o**2 + 374*o + 4524 = 0.
-174, -13
Factor -f**2/3 + 455*f/3.
-f*(f - 455)/3
Find q, given that 4*q**3 + 12*q**2 + 8*q = 0.
-2, -1, 0
Let 3*r**3 + 66*r**2 - 3*r - 66 = 0. What is r?
-22, -1, 1
Let -3*s**3 + 36*s**2 + 3*s - 36 = 0. What is s?
-1, 1, 12
Factor -16*j**3/3 + 100*j**2/3 - 152*j/3 + 32/3.
-4*(j - 4)*(j - 2)*(4*j - 1)/3
Determine r so that 5*r**5 - 182*r**4 + 247*r**3 - 70*r**2 = 0.
0, 2/5, 1, 35
Let 3*i**2/2 - 27*i/2 = 0. What is i?
0, 9
Factor -80*k**3 + 1000*k**2 - 2765*k