-5*s**4/4 + 50*s**3 - 750*s**2 + 5000*s - 12500 = 0.
10
Suppose 8*f**4/9 + 74*f**3/9 + 70*f**2/3 + 176*f/9 + 32/9 = 0. Calculate f.
-4, -1, -1/4
Factor -z**2/4 - 605*z/2 - 366025/4.
-(z + 605)**2/4
Factor -5*d**4 + 100*d**3 + 5135*d**2 + 38870*d.
-5*d*(d - 46)*(d + 13)**2
What is n in -4*n**5 - 44*n**4 - 156*n**3 - 244*n**2 - 176*n - 48 = 0?
-6, -2, -1
Factor 2*f**5/3 - 11*f**4/3 + 16*f**3/3 - 7*f**2/3.
f**2*(f - 1)**2*(2*f - 7)/3
Factor -5*y**2 + 70*y - 245.
-5*(y - 7)**2
Let -3*j**4/2 - 27*j**3/2 + 111*j**2/2 + 27*j/2 - 54 = 0. Calculate j.
-12, -1, 1, 3
Factor -2*v**3/7 + 6*v**2 - 42*v + 98.
-2*(v - 7)**3/7
Factor -n**5 + 28*n**4 - 107*n**3 - 232*n**2 + 1104*n.
-n*(n - 23)*(n - 4)**2*(n + 3)
Factor 4*w**2 + 164*w + 1240.
4*(w + 10)*(w + 31)
Solve -35*a**5 - 37*a**4 + 33*a**3 + 37*a**2 + 2*a = 0.
-1, -2/35, 0, 1
Suppose -l**3/5 - 17*l**2/5 - 66*l/5 = 0. What is l?
-11, -6, 0
Suppose -9*h**4/5 + 7*h**3/5 + 2*h**2/5 = 0. What is h?
-2/9, 0, 1
Factor -c**2/11 - 12*c/11.
-c*(c + 12)/11
Let -2*l**4/7 + 2*l**3/7 + 44*l**2/7 - 32*l/7 - 192/7 = 0. Calculate l.
-4, -2, 3, 4
Solve a**2/7 - 24*a/7 - 25/7 = 0.
-1, 25
What is q in 2*q**4/15 + 12*q**3/5 - 88*q**2/15 - 48*q/5 + 64/3 = 0?
-20, -2, 2
Factor 4*o**4 + 100*o**3 - 228*o**2 - 324*o.
4*o*(o - 3)*(o + 1)*(o + 27)
Let -2*f**5/7 - 2*f**4/7 + 4*f**3 + 8*f**2 - 16*f/7 - 64/7 = 0. What is f?
-2, 1, 4
Factor 2*i**2 - 132*i - 414.
2*(i - 69)*(i + 3)
Solve -2*v**5 + 12*v**4 + 80*v**3 - 500*v**2 - 750*v + 5000 = 0 for v.
-5, -4, 5
Determine s so that -2*s**4/7 + 125*s**3/7 - 300*s**2/7 = 0.
0, 5/2, 60
Factor i**2/4 + 23*i/4 + 11/2.
(i + 1)*(i + 22)/4
Factor -b**2 + 36*b - 35.
-(b - 35)*(b - 1)
Find s, given that -3*s**3 + 87*s**2 + 3*s - 87 = 0.
-1, 1, 29
Solve -2*p**2 + 124*p - 354 = 0.
3, 59
Find f, given that -10*f**3 + 645*f**2 + 4650*f - 2485 = 0.
-7, 1/2, 71
Factor k**3 - 85*k**2 - 173*k - 87.
(k - 87)*(k + 1)**2
Find p such that 3*p**5/7 - 12*p**4/7 + 15*p**3/7 - 6*p**2/7 = 0.
0, 1, 2
Factor -q**2 + 32*q - 112.
-(q - 28)*(q - 4)
Suppose -m**4/4 - m**3/2 + 3*m**2 + 9*m/2 - 27/4 = 0. Calculate m.
-3, 1, 3
Factor -d**4/5 + 17*d**3/5 - 79*d**2/5 + 63*d/5.
-d*(d - 9)*(d - 7)*(d - 1)/5
Let 2*v**3 - 20*v**2 + 24*v + 144 = 0. Calculate v.
-2, 6
Factor -15*y**4 - 40*y**3 + 75*y**2 - 20*y.
-5*y*(y - 1)*(y + 4)*(3*y - 1)
Factor -3*n**3/5 + 153*n**2/5 - 1872*n/5 - 2028/5.
-3*(n - 26)**2*(n + 1)/5
Factor 2*m**3/11 + 6*m**2/11 - 144*m/11 + 32.
2*(m - 4)**2*(m + 11)/11
Suppose 4*k**2 - 88*k - 1632 = 0. Calculate k.
-12, 34
Find q, given that -5*q**5/3 - 2*q**4/3 + 5*q**3 + 16*q**2/3 + 4*q/3 = 0.
-1, -2/5, 0, 2
Let -2*v**5 + 20*v**4 + 110*v**3 + 40*v**2 - 168*v = 0. What is v?
-3, -2, 0, 1, 14
Determine p so that -2*p**2 - 718*p - 716 = 0.
-358, -1
Factor 20*z**4 - 85*z**3 - 220*z**2 + 60*z.
5*z*(z - 6)*(z + 2)*(4*z - 1)
Factor 2*n**2/17 - 46*n/17.
2*n*(n - 23)/17
Factor -a**4/7 - 2*a**3 + 51*a**2/7.
-a**2*(a - 3)*(a + 17)/7
Let -3*i**3/7 + 96*i**2/7 + 345*i/7 - 150 = 0. What is i?
-5, 2, 35
Factor -d**4/8 - 37*d**3/8 + 77*d**2/8 - 39*d/8.
-d*(d - 1)**2*(d + 39)/8
Suppose 3*i**5 + 123*i**4 + 1920*i**3 + 13800*i**2 + 42000*i + 30000 = 0. What is i?
-10, -1
Suppose -4*i**2 - 60*i = 0. What is i?
-15, 0
Solve -3*i**4 - 90*i**3 + 396*i**2 - 408*i = 0 for i.
-34, 0, 2
What is k in -208*k**4 - 1684*k**3 - 3480*k**2 - 256*k + 128 = 0?
-4, -1/4, 2/13
Find s such that 5*s**3 + 25*s**2 + 40*s + 20 = 0.
-2, -1
Factor 4*n**3 - 68*n**2 + 264*n.
4*n*(n - 11)*(n - 6)
Solve -a**3/3 + 22*a**2/3 - 7*a = 0 for a.
0, 1, 21
Factor -75*t**4 - 444*t**3 - 639*t**2 + 54*t.
-3*t*(t + 3)**2*(25*t - 2)
Suppose 45*m**4 - 50*m**3 - 35*m**2 + 40*m = 0. Calculate m.
-8/9, 0, 1
Determine i, given that -3*i**3 + 141*i**2 - 1137*i + 999 = 0.
1, 9, 37
Determine i, given that -5*i**5 - 380*i**4 - 4070*i**3 - 15020*i**2 - 19325*i - 8000 = 0.
-64, -5, -1
Find h such that -2*h**3 - 28*h**2 + 782*h + 11560 = 0.
-17, 20
Factor h**2 - 18*h - 280.
(h - 28)*(h + 10)
Factor -2*y**2/5 + 88*y/5.
-2*y*(y - 44)/5
Factor 8*l**3/7 - 740*l**2/7 - 1892*l/7 - 760/7.
4*(l - 95)*(l + 2)*(2*l + 1)/7
Find s, given that -4*s**3/5 + 21*s**2 - 26*s/5 = 0.
0, 1/4, 26
Solve 46875*k**2/4 + 2625*k + 147 = 0 for k.
-14/125
Solve -5*f**2 + 395*f - 5040 = 0 for f.
16, 63
Suppose -3*o**3 - 108*o**2 - 972*o - 2592 = 0. Calculate o.
-24, -6
Find c, given that 6*c**4 + 147*c**3/2 - 72*c**2 - 357*c/2 - 39 = 0.
-13, -1, -1/4, 2
Factor -h**4/7 + 1040*h**3/7 - 405600*h**2/7 + 70304000*h/7 - 4569760000/7.
-(h - 260)**4/7
Find h such that h**5 - 7*h**4 + 6*h**3 + 22*h**2 - 7*h - 15 = 0.
-1, 1, 3, 5
Factor 2*b**2/11 - 2978*b/11.
2*b*(b - 1489)/11
Factor 5*o**2 + 4475*o + 4470.
5*(o + 1)*(o + 894)
Determine c so that c**3/5 - 91*c**2/5 - 42*c + 2232/5 = 0.
-6, 4, 93
Find i such that -i**3/2 + 595*i**2 - 354025*i/2 = 0.
0, 595
Factor 29*r**3 - 118*r**2 + 95*r - 6.
(r - 3)*(r - 1)*(29*r - 2)
Solve -5*q**5/3 - 130*q**4/3 - 1265*q**3/3 - 1880*q**2 - 3660*q - 2160 = 0.
-9, -6, -4, -1
Solve -5*b**4 - 10*b**3 + 75*b**2 = 0 for b.
-5, 0, 3
Suppose -3*d**4 - 6*d**3 + 45*d**2 - 12*d - 60 = 0. What is d?
-5, -1, 2
Suppose 2*v**2/11 + 212*v/11 = 0. Calculate v.
-106, 0
Suppose 3*d**4/2 - 45*d**3/2 + 21*d**2 = 0. Calculate d.
0, 1, 14
Find x, given that -2*x**3/13 - 204*x**2/13 + 32*x = 0.
-104, 0, 2
Factor -2*c**4/3 - 64*c**3/9 + 22*c**2/9.
-2*c**2*(c + 11)*(3*c - 1)/9
Factor 45*c**3 - 40*c**2 - 215*c - 130.
5*(c + 1)**2*(9*c - 26)
Determine s, given that 5*s**4 + 140*s**3 + 1110*s**2 + 1820*s + 845 = 0.
-13, -1
Solve t**3/8 + 29*t**2/8 + 11*t/4 - 21 = 0.
-28, -3, 2
Factor 6*i**2 + 1738*i - 2328.
2*(i + 291)*(3*i - 4)
Suppose 5*z**2 - 965*z - 970 = 0. What is z?
-1, 194
Suppose 2*f**2/9 + 2*f + 16/9 = 0. Calculate f.
-8, -1
Determine x so that 2*x**4/9 - 2*x**3/9 - 2*x**2/9 + 2*x/9 = 0.
-1, 0, 1
Factor -3*z**2/5 - 24*z/5 + 12.
-3*(z - 2)*(z + 10)/5
Factor 2*t**4 - 86*t**3 + 84*t**2.
2*t**2*(t - 42)*(t - 1)
Let -4*h**5 + 84*h**4 - 20*h**3 - 1108*h**2 - 1800*h - 800 = 0. What is h?
-2, -1, 5, 20
Find k, given that -4*k**4 - 24*k**3 + 96*k**2 - 104*k + 36 = 0.
-9, 1
Factor -q**4/3 + 2*q**3/3 + 4*q**2/3 - 2*q/3 - 1.
-(q - 3)*(q - 1)*(q + 1)**2/3
What is f in f**4/4 = 0?
0
What is m in 3*m**2 - 9*m = 0?
0, 3
Determine x, given that 2*x**2 - 2212*x + 611618 = 0.
553
Factor 5*s**4 - 315*s**3 - 2025*s**2 - 3105*s.
5*s*(s - 69)*(s + 3)**2
Factor q**5 + 245*q**4 + 15128*q**3 + 14884*q**2.
q**2*(q + 1)*(q + 122)**2
Factor 2*q**5 - 212*q**4 + 6746*q**3 - 59784*q**2 + 159048*q.
2*q*(q - 47)**2*(q - 6)**2
Factor -10*k**3/11 + 3892*k**2/11 - 377130*k/11 - 304200/11.
-2*(k - 195)**2*(5*k + 4)/11
Solve d**2/4 - 3*d/4 + 1/2 = 0 for d.
1, 2
Factor s**3/4 + 55*s**2/4 - 57*s/2.
s*(s - 2)*(s + 57)/4
Let -15*g**4/4 + 11889*g**3/4 + 4167*g**2 + 1191*g = 0. Calculate g.
-1, -2/5, 0, 794
Factor d**2/6 - 16*d + 455/6.
(d - 91)*(d - 5)/6
Find g such that 2*g**5/7 + 8*g**4/7 + 10*g**3/7 + 4*g**2/7 = 0.
-2, -1, 0
Solve -5*y**4/3 + 160*y**3/3 - 480*y**2 + 5120*y/3 - 6400/3 = 0.
4, 20
Factor -2*x**3/11 - 888*x**2/11 + 7200*x/11 - 14464/11.
-2*(x - 4)**2*(x + 452)/11
Factor -3*x**2/2 - 840*x - 117600.
-3*(x + 280)**2/2
Find j such that -2*j**5 + 78*j**4 + 8*j**3 - 312*j**2 = 0.
-2, 0, 2, 39
Suppose -21*i**4 + 102*i**3/5 + 21*i**2/5 - 18*i/5 = 0. What is i?
-3/7, 0, 2/5, 1
Solve -2*d**2/9 - 28*d/9 - 16/3 = 0.
-12, -2
Factor -w**4 - 37*w**3 - 287*w**2 - 467*w - 216.
-(w + 1)**2*(w + 8)*(w + 27)
Solve -12*b**4 + 8*b**3 = 0 for b.
0, 2/3
Suppose 18*f**3/5 - 2802*f**2/5 - 936*f/5 = 0. Calculate f.
-1/3, 0, 156
Factor 4*l**5 - 16*l**3.
4*l**3*(l - 2)*(l + 2)
Factor 2*n**2/3 - 20*n/3 - 238/3.
2*(n - 17)*(n + 7)/3
Factor -2*a**2/3 + 80*a/3 + 82/3.
-2*(a - 41)*(a + 1)/3
What is o in 100*o**4 - 220*o**3 - 24*o**2 + 112*o + 32 = 0?
-2/5, 1, 2
Suppose -12*u**4 + 63*u**3 - 90*u**2 - 12*u + 72 = 0. Calculate u.
-3/4, 2
Factor 2*x**2/7 + 108*x + 10206.
2*(x + 189)**2/7
Factor 3*i**5 + 75*i**4 + 750*i**3 + 3750*i**2 + 9375*i + 9375.
3*(i + 5)**5
Let -4*j**2 + 92*j - 88 = 0. What is j?
1, 22
Determine z so that 2*z**3/5 - 56*z**2 + 10336*z/5 - 36992/5 = 0.
4, 68
Let l**4/2 + l**3 - 21*l**2/2 - 11*l + 20 = 0. Calculate l.
-5, -2, 1, 4
Factor 5*f**2 + 160*f - 1845.
5*(f - 9)*(f + 41)
Factor -29403*c**2 + 1188*c - 12.
-3*(99*c - 2)**2
Factor -41*c**2/5 -