
Factor -5*w**3 + 135*w**2.
-5*w**2*(w - 27)
Factor 21*f**2/5 - 2022*f/5 + 576/5.
3*(f - 96)*(7*f - 2)/5
Factor 8*v**3 + 28*v**2.
4*v**2*(2*v + 7)
What is s in s**3/2 + 19*s**2/2 + 52*s + 88 = 0?
-11, -4
Factor -5*c**2 + 3955*c - 3950.
-5*(c - 790)*(c - 1)
Let -2*y**2 - 98*y - 516 = 0. What is y?
-43, -6
Factor f**3 + 98*f**2 - 199*f + 100.
(f - 1)**2*(f + 100)
Let -2*f**2/5 + 48*f/5 - 288/5 = 0. Calculate f.
12
Factor 4*k**3 + 112*k**2 - 364*k + 248.
4*(k - 2)*(k - 1)*(k + 31)
Factor -o**2/8 + 37*o/4 - 18.
-(o - 72)*(o - 2)/8
Factor -2*f**3/5 - 6*f**2/5 + 18*f/5 - 2.
-2*(f - 1)**2*(f + 5)/5
Factor p**3 - 41*p**2 + 352*p + 1452.
(p - 22)**2*(p + 3)
Determine x, given that 4*x**2 - 20*x + 24 = 0.
2, 3
Suppose -20*p**5 - 108*p**4 + 260*p**3 + 220*p**2 - 240*p - 112 = 0. What is p?
-7, -1, -2/5, 1, 2
Factor 7*z**3 + 124*z**2 + 188*z - 64.
(z + 2)*(z + 16)*(7*z - 2)
What is w in -w**3/5 + 11*w**2/5 - 24*w/5 - 36/5 = 0?
-1, 6
Factor -50*q**3/9 - 340*q**2/3 - 448*q + 12544/9.
-2*(q - 2)*(5*q + 56)**2/9
Factor -4*f**5 - 16*f**4 - 20*f**3 - 8*f**2.
-4*f**2*(f + 1)**2*(f + 2)
Factor 2*u**4/11 + 14*u**3/11 + 30*u**2/11 + 18*u/11.
2*u*(u + 1)*(u + 3)**2/11
Factor -u**4 + 19*u**3 + 66*u**2.
-u**2*(u - 22)*(u + 3)
Suppose -3*y**2 + 51*y + 54 = 0. What is y?
-1, 18
Factor 51*o**2 - 726*o + 168.
3*(o - 14)*(17*o - 4)
Factor 2*h**4/3 + 8*h**3/3 - 14*h**2 - 208*h/3 - 160/3.
2*(h - 5)*(h + 1)*(h + 4)**2/3
Factor -l**5/7 + 9*l**4/7 - 108*l**2/7.
-l**2*(l - 6)**2*(l + 3)/7
Factor -4*w**3/9 + 8*w**2/3 - 4*w + 16/9.
-4*(w - 4)*(w - 1)**2/9
Factor o**3/7 + o**2/7 - 37*o/7 + 5.
(o - 5)*(o - 1)*(o + 7)/7
Factor l**2/5 - 1236*l/5 + 381924/5.
(l - 618)**2/5
Determine f, given that 2*f**2/15 - 286*f/15 - 96/5 = 0.
-1, 144
Factor -r**3/3 + r**2 + 94*r/3 + 56.
-(r - 12)*(r + 2)*(r + 7)/3
Suppose -2*l**5 + 578*l**4/7 + 424*l**3/7 - 24*l**2 = 0. Calculate l.
-1, 0, 2/7, 42
Suppose -2*q**2/7 + 18952*q/7 - 44897288/7 = 0. Calculate q.
4738
Determine c so that -5*c**4 + 5*c**3 + 65*c**2 - 5*c - 60 = 0.
-3, -1, 1, 4
Factor -2*v**4/7 + 6*v**3/7 - 6*v**2/7 + 2*v/7.
-2*v*(v - 1)**3/7
Factor 2*g**3/11 - 8*g**2/11 - 102*g/11 - 180/11.
2*(g - 10)*(g + 3)**2/11
Suppose -4*s**2 + 3960*s - 980100 = 0. Calculate s.
495
Solve 26*j**5/7 - 82*j**4/7 + 90*j**3/7 - 38*j**2/7 + 4*j/7 = 0.
0, 2/13, 1
Determine a so that -4*a**3 + 96*a**2 - 540*a + 448 = 0.
1, 7, 16
Find q such that -2*q**4/3 + 16*q**3 + 82*q**2 - 628*q/3 + 112 = 0.
-6, 1, 28
Factor -3*c**2 - 252*c - 2025.
-3*(c + 9)*(c + 75)
Determine u, given that -2*u**5/7 + 4*u**4/7 + 12*u**3/7 - 8*u**2/7 - 26*u/7 - 12/7 = 0.
-1, 2, 3
Let 5*j**2/2 + 85*j/2 = 0. What is j?
-17, 0
Factor d**5/4 + 3*d**4/2 + 9*d**3/4 + d**2.
d**2*(d + 1)**2*(d + 4)/4
Determine t, given that -5*t**5 + 10*t**4 + 70*t**3 + 40*t**2 - 65*t - 50 = 0.
-2, -1, 1, 5
Factor -m**2 - 317*m.
-m*(m + 317)
Factor -2*o**5/5 + 16*o**4/5 - 8*o**3 + 32*o**2/5.
-2*o**2*(o - 4)*(o - 2)**2/5
Solve -2*i**2 - 64*i + 66 = 0 for i.
-33, 1
What is l in 3*l**2/4 - 18*l + 108 = 0?
12
Factor -2*j**5 + 8*j**4 + 102*j**3 + 180*j**2.
-2*j**2*(j - 10)*(j + 3)**2
Suppose -8*d**4 - 882*d**3 - 25276*d**2 - 52920*d - 11664 = 0. What is d?
-54, -2, -1/4
Let -n**3 - 11*n**2 + 14*n + 24 = 0. What is n?
-12, -1, 2
Solve -7*g**2/3 - 163*g/3 - 46/3 = 0 for g.
-23, -2/7
Let -6*v**3 + 3*v**2 + 54*v - 27 = 0. What is v?
-3, 1/2, 3
Let 2*o**5 + 86*o**4/7 + 194*o**3/7 + 194*o**2/7 + 80*o/7 + 8/7 = 0. Calculate o.
-2, -1, -1/7
Factor -t**3/3 + 29*t**2/3 + t/3 - 29/3.
-(t - 29)*(t - 1)*(t + 1)/3
Factor -5*r**3 + 90*r**2.
-5*r**2*(r - 18)
Factor 2*y**4/15 + 58*y**3/15 + 208*y**2/5 + 2944*y/15 + 1024/3.
2*(y + 5)*(y + 8)**3/15
Solve 2*i**3/15 - 16*i**2/5 - 22*i/3 + 52/5 = 0 for i.
-3, 1, 26
What is r in 841*r**4/2 - 11049*r**3/2 + 10007*r**2 - 1302*r + 44 = 0?
2/29, 2, 11
Let -6889*d**4 - 89059*d**3 + 6465*d**2 - 117*d = 0. What is d?
-13, 0, 3/83
Find m, given that m**3/2 + 43*m**2/2 - 2*m - 86 = 0.
-43, -2, 2
Factor -2*o**2 + 2108*o - 555458.
-2*(o - 527)**2
Determine t so that 25*t**5/4 + 23*t**4/4 - 51*t**3/2 - 23*t**2 + 2*t = 0.
-2, -1, 0, 2/25, 2
Factor 3*f**2/8 + 21*f/4 - 1053/8.
3*(f - 13)*(f + 27)/8
Factor -3*a**2/5 + 579*a/5 + 1764/5.
-3*(a - 196)*(a + 3)/5
What is a in -a**4/3 + 31*a**3/3 - 280*a**2/3 + 196*a = 0?
0, 3, 14
Factor -3*v**3/7 + 72*v**2/7 + 93*v/7 - 450/7.
-3*(v - 25)*(v - 2)*(v + 3)/7
Factor 2*g**4/3 - 8*g**3/3 - 12*g**2 + 72*g - 90.
2*(g - 3)**3*(g + 5)/3
Solve -o**3 + 63*o**2 - 239*o + 177 = 0.
1, 3, 59
Let -2*f**5/5 - 24*f**4/5 - 48*f**3/5 + 68*f**2/5 + 114*f/5 - 108/5 = 0. Calculate f.
-9, -3, -2, 1
Factor 2*v**4 - 130*v**3 - 542*v**2 - 686*v - 276.
2*(v - 69)*(v + 1)**2*(v + 2)
Factor c**3 + 60*c**2 + 1008*c + 3136.
(c + 4)*(c + 28)**2
Find t, given that 2*t**2 - 26*t - 96 = 0.
-3, 16
What is o in -o**3/3 - 18*o**2 - 243*o = 0?
-27, 0
Find p such that -4*p**3 - 604*p**2 + 616*p + 1216 = 0.
-152, -1, 2
Factor -2*w**2/7 + 3382*w/7 - 6756/7.
-2*(w - 1689)*(w - 2)/7
Suppose t**5 + 26*t**4 + 192*t**3 + 288*t**2 = 0. Calculate t.
-12, -2, 0
Find o, given that -o**3 + 9*o**2 - 24*o + 16 = 0.
1, 4
Suppose 3*c**5 - 60*c**4 + 450*c**3 - 1500*c**2 + 1875*c = 0. Calculate c.
0, 5
Determine z so that 4*z**5 + 56*z**4 + 180*z**3 + 208*z**2 + 80*z = 0.
-10, -2, -1, 0
Find w, given that 9*w**3 - 84*w**2 + 159*w - 84 = 0.
1, 4/3, 7
Suppose 2*m**5/15 + 2*m**4/15 - 86*m**3/15 - 2*m**2/15 + 28*m/5 = 0. What is m?
-7, -1, 0, 1, 6
Suppose -3*b**2 - 522*b - 22707 = 0. Calculate b.
-87
Let 3*g**3 - 1452*g**2 - 2913*g - 1458 = 0. Calculate g.
-1, 486
Determine c so that -c**2 + 902*c - 203401 = 0.
451
Factor 3*f**2 - 3534*f + 1040763.
3*(f - 589)**2
Factor 3*d**3/5 - 117*d**2/5 + 717*d/5 + 837/5.
3*(d - 31)*(d - 9)*(d + 1)/5
Find q, given that -92*q**3 + 70*q**2 + 22*q = 0.
-11/46, 0, 1
Factor 4*q**2 + 88*q.
4*q*(q + 22)
Find s, given that -14*s**5 + 144*s**4 - 278*s**3 - 324*s**2 + 112*s = 0.
-1, 0, 2/7, 4, 7
Solve -2*f**4 + 14*f**3 - 30*f**2 + 18*f = 0 for f.
0, 1, 3
Find g such that 3*g**4 = 0.
0
Factor -v**4/4 - 7*v**3/2 - 11*v**2/4 + 13*v/2.
-v*(v - 1)*(v + 2)*(v + 13)/4
Solve 4*m**2 + 12*m + 8 = 0.
-2, -1
Let 2*i**4/9 - 260*i**3/9 + 256*i**2/3 - 764*i/9 + 254/9 = 0. What is i?
1, 127
Let -4*u**5 - 748*u**4 - 2944*u**3 - 2928*u**2 = 0. What is u?
-183, -2, 0
Suppose 2*v**2/15 - 2*v/15 - 8/3 = 0. Calculate v.
-4, 5
Factor 2*w**2/5 + 32*w/5.
2*w*(w + 16)/5
Factor -5*k**2 - 150*k - 280.
-5*(k + 2)*(k + 28)
Let -6*y**2/5 - 96*y + 7254/5 = 0. What is y?
-93, 13
Factor -6*j**4 + 75*j**3/2 - 63*j**2 + 27*j/2.
-3*j*(j - 3)**2*(4*j - 1)/2
Find b, given that -3*b**4/8 - 3*b**3/2 - 15*b**2/8 - 3*b/4 = 0.
-2, -1, 0
Factor -2*i**2/11 + 2382*i/11.
-2*i*(i - 1191)/11
Determine a so that 4*a**3 - 292*a**2 - 596*a - 300 = 0.
-1, 75
Solve -4232*j**3/7 + 184*j**2 - 14*j = 0.
0, 7/46
Suppose 2*x**5/19 - 8*x**4/19 + 4*x**3/19 + 8*x**2/19 - 6*x/19 = 0. Calculate x.
-1, 0, 1, 3
Factor -5*j**3 + 40*j**2 - 45*j - 90.
-5*(j - 6)*(j - 3)*(j + 1)
Determine u, given that u**4/4 - 281*u**3/4 + 19025*u**2/4 + 100529*u/4 + 61347/2 = 0.
-3, -2, 143
Factor u**4/3 - 24*u**3 + 432*u**2.
u**2*(u - 36)**2/3
Find d such that -2*d**5 - 354*d**4 + 722*d**3 + 1074*d**2 = 0.
-179, -1, 0, 3
Factor m**3/2 + 47*m**2/2 - m/2 - 47/2.
(m - 1)*(m + 1)*(m + 47)/2
Factor -35*s**3 + 885*s**2 - 5710*s + 1560.
-5*(s - 13)*(s - 12)*(7*s - 2)
Factor u**2/2 - 2883*u + 8311689/2.
(u - 2883)**2/2
Factor -5*l**4 - 5*l**3 + 40*l**2 + 60*l.
-5*l*(l - 3)*(l + 2)**2
Factor -2*u**3/7 + 48*u**2/7.
-2*u**2*(u - 24)/7
Find h, given that -6*h**5/5 + 4*h**4 + 4*h**3/5 - 32*h**2/5 + 2*h/5 + 12/5 = 0.
-1, -2/3, 1, 3
Suppose -4*d**5/3 + 38*d**4/9 + 6*d**3 - 46*d**2/9 - 14*d/3 + 8/9 = 0. Calculate d.
-1, 1/6, 1, 4
Factor -2*s**3/11 - 12*s**2/11.
-2*s**2*(s + 6)/11
Find a, given that a**2/7 + 4*a + 28 = 0.
-14
Find c, given that -c**2/2 + 7353*c - 54066609/2 = 0.
7353
Determine a, given that -2*a**4 + 73*a**3/3 - 58*a**2 + 9*a = 0.
0, 1/6, 3, 9
Determine s, given that 9*s**3/7 - 24*s**2/7 + 3*s - 6/7 = 0.
2/3, 1
Solve -9*i**2 - 132*i + 45 = 0 for i.
-15, 1/3
Find i such that 49*i**4/2 - 721*i**3/2 - 993*i**2/2 - 239*i/2 - 8 = 0.
-1, -1/7, 16
Factor 2*t**2/5 + 8*t/5 - 24/5.
2*(t - 2)*(t + 6)/5
Factor -2*t**3 + 152*t + 480.
-2*(t - 10)*(t + 4)*(t + 6)
Determine x so that 4*x*