- 16*i/5 - 4 = 0.
-1, 5
Find s, given that s**3/5 - 15*s**2 + 354*s/5 - 56 = 0.
1, 4, 70
What is k in -3*k**5/2 - 3*k**4/2 = 0?
-1, 0
Find g, given that -g**2/8 + 4059*g/4 - 16475481/8 = 0.
4059
Factor -y**3 + y**2 + y - 1.
-(y - 1)**2*(y + 1)
Factor -5*r**2 + 30*r + 35.
-5*(r - 7)*(r + 1)
Let -5*v**2 + 75*v - 130 = 0. Calculate v.
2, 13
Suppose -3*d**3 + 423*d**2 - 14697*d - 15123 = 0. What is d?
-1, 71
Factor o**4 - 216*o**3 + 11446*o**2 + 23544*o + 11881.
(o - 109)**2*(o + 1)**2
Factor 3*n**4 - 336*n**3 + 8685*n**2 + 42108*n - 50460.
3*(n - 58)**2*(n - 1)*(n + 5)
Suppose -6*k**4 - 286*k**3 - 462*k**2 + 80910*k - 26908 = 0. Calculate k.
-31, 1/3, 14
Factor 2*n**4 - 2*n**3 - 6*n**2 + 10*n - 4.
2*(n - 1)**3*(n + 2)
Factor 4*l**4 + 17*l**3 + 16*l**2 + 3*l.
l*(l + 1)*(l + 3)*(4*l + 1)
Suppose 2*k**4/5 - 38*k**3/5 + 224*k**2/5 - 384*k/5 = 0. Calculate k.
0, 3, 8
Factor 3*c**2/4 + 3843*c + 4922883.
3*(c + 2562)**2/4
Solve 20*i**5 - 248*i**4 + 816*i**3 - 928*i**2 + 256*i = 0.
0, 2/5, 2, 8
Factor -x**4/2 - 2*x**3 + 5*x**2 + 14*x + 15/2.
-(x - 3)*(x + 1)**2*(x + 5)/2
Factor -2*i**2 - 46*i.
-2*i*(i + 23)
Determine v so that -v**2/3 + 43*v/3 - 140 = 0.
15, 28
Factor 3*m**2/5 + 27*m/5 - 66/5.
3*(m - 2)*(m + 11)/5
What is k in -4*k**4/5 + 28*k**3/5 + 64*k**2/5 - 208*k/5 - 384/5 = 0?
-2, 3, 8
Factor -m**3/5 + 13*m**2/5 + 913*m/5 - 185.
-(m - 37)*(m - 1)*(m + 25)/5
Suppose 6*o**2 + 99*o = 0. Calculate o.
-33/2, 0
Factor -2*p**4/3 + 1030*p**3/9 - 6574*p**2 + 127794*p - 82308.
-2*(p - 57)**3*(3*p - 2)/9
Factor -q**5/6 - q**4/2 + 2*q**3/3 + 8*q**2/3 - 8/3.
-(q - 2)*(q - 1)*(q + 2)**3/6
Determine i, given that i**2/5 - 21*i/5 - 162/5 = 0.
-6, 27
Let 50*d**4 + 5090*d**3 + 18748*d**2 + 12568*d + 2352 = 0. Calculate d.
-98, -3, -2/5
Find q such that -169*q**3/6 - 91*q**2 + 165*q/2 - 50/3 = 0.
-4, 5/13
Factor -3*y**2 - 135*y - 1392.
-3*(y + 16)*(y + 29)
Determine k, given that 5*k**4 - 100*k**3 - 2250*k**2 - 12500*k - 21875 = 0.
-5, 35
Determine h, given that -2*h**5/7 + 38*h**4/7 - 10*h**3 + 34*h**2/7 = 0.
0, 1, 17
Factor -3*k**4 - 9*k**3 + 27*k**2 + 69*k + 36.
-3*(k - 3)*(k + 1)**2*(k + 4)
Factor -4*h**3 - 100*h**2 - 592*h - 816.
-4*(h + 2)*(h + 6)*(h + 17)
Solve q**4/5 + 33*q**3/5 - 71*q**2/5 - 33*q/5 + 14 = 0 for q.
-35, -1, 1, 2
Find c, given that -2*c**3/13 + 92*c**2/13 - 1158*c/13 + 2700/13 = 0.
3, 18, 25
Factor 3*m**2/7 + 1326*m/7.
3*m*(m + 442)/7
Find h, given that 3*h**4 + 1581*h**3 - 4761*h**2 + 4767*h - 1590 = 0.
-530, 1
Suppose -h**3/4 + h**2 - 3*h/4 = 0. What is h?
0, 1, 3
Factor -t**2 - 15*t - 50.
-(t + 5)*(t + 10)
Factor 2*w**2 + 66*w.
2*w*(w + 33)
Solve -t**5 - 11*t**4 + 81*t**3 + 11*t**2 - 80*t = 0 for t.
-16, -1, 0, 1, 5
Factor -52*b**2 - 508*b + 120.
-4*(b + 10)*(13*b - 3)
Suppose -3*r**3 + 48*r**2 - 87*r + 42 = 0. What is r?
1, 14
Determine f, given that f**2/3 - 292*f/3 - 596 = 0.
-6, 298
Factor -3*t**2/4 - 33*t/2 - 363/4.
-3*(t + 11)**2/4
Factor -2*m**4/7 - 6*m**3/7 + 2*m**2/7 + 6*m/7.
-2*m*(m - 1)*(m + 1)*(m + 3)/7
Determine b so that -b**3 - 34*b**2 - 49*b + 480 = 0.
-32, -5, 3
Suppose 21*a**4 + 5928*a**3 + 419193*a**2 + 119286*a = 0. Calculate a.
-141, -2/7, 0
Find o, given that 9*o**3/2 + 46*o**2 + 101*o/2 + 9 = 0.
-9, -1, -2/9
Factor -3*c**4/5 + 3*c**3/5 + 3*c**2/5 - 3*c/5.
-3*c*(c - 1)**2*(c + 1)/5
Factor -3*q**2/2 + 5961*q - 11844507/2.
-3*(q - 1987)**2/2
Factor -5*d**3 + 35*d**2 - 50*d.
-5*d*(d - 5)*(d - 2)
Let v**2/5 + 171*v/5 + 504/5 = 0. What is v?
-168, -3
Factor 3*b**2 + 81*b - 270.
3*(b - 3)*(b + 30)
Let -2*p**3/3 - 530*p**2/3 - 1042*p - 1554 = 0. What is p?
-259, -3
Factor -3*h**3 - 27*h**2 - 81*h - 81.
-3*(h + 3)**3
Factor -l**4/5 + 12*l**3/5 - 37*l**2/5 + 42*l/5 - 16/5.
-(l - 8)*(l - 2)*(l - 1)**2/5
Factor -8*n**3/11 + 6464*n**2/11 - 6458*n/11 + 1614/11.
-2*(n - 807)*(2*n - 1)**2/11
Factor -5*a**5 - 655*a**4 - 29030*a**3 - 453650*a**2 - 822805*a - 397535.
-5*(a + 1)**2*(a + 43)**3
What is r in 3*r**5/4 - 6*r**4 + 18*r**3 - 51*r**2/2 + 69*r/4 - 9/2 = 0?
1, 2, 3
Find a, given that -6*a**2/7 - 2316*a/7 + 2322/7 = 0.
-387, 1
Determine o, given that -441*o**5/8 + 5271*o**4/4 - 27819*o**3/8 + 9765*o**2/4 - 1329*o/2 + 63 = 0.
2/7, 1/3, 2, 21
Find j such that 2*j**4 + 88*j**3 + 82*j**2 - 172*j = 0.
-43, -2, 0, 1
Find c such that 2*c**3/3 - 2*c**2 - 26*c/3 + 10 = 0.
-3, 1, 5
Factor -f**2/9 - 71*f.
-f*(f + 639)/9
Find g, given that -4*g**2 + 196 = 0.
-7, 7
Factor -m**4 - 44*m**3 - 702*m**2 - 4732*m - 10985.
-(m + 5)*(m + 13)**3
Let j**2/4 - 4*j - 9 = 0. What is j?
-2, 18
Determine u so that -15*u**5 + 96*u**4 - 141*u**3 - 48*u**2 + 156*u - 48 = 0.
-1, 2/5, 1, 2, 4
Factor -2*z**3/15 - 4*z**2/5 - 22*z/15 - 4/5.
-2*(z + 1)*(z + 2)*(z + 3)/15
Suppose 2*f**4/19 + 8*f**3/19 - 2*f**2/19 - 32*f/19 - 24/19 = 0. What is f?
-3, -2, -1, 2
Factor z**3/3 - 7*z**2 + 40*z - 100/3.
(z - 10)**2*(z - 1)/3
Find z such that 2*z**5 + 10*z**4 + 4*z**3 - 16*z**2 = 0.
-4, -2, 0, 1
Factor l**4 - 8*l**3 - 10*l**2 + 8*l + 9.
(l - 9)*(l - 1)*(l + 1)**2
Find o such that 16*o**4 + 8*o**3 - 15*o**2 - 8*o - 1 = 0.
-1, -1/4, 1
Solve q**3 + 52*q**2 - 107*q + 54 = 0.
-54, 1
Determine q so that -2*q**5/9 + 8*q**4/3 - 14*q**3/9 - 112*q**2/3 + 808*q/9 - 160/3 = 0.
-4, 1, 2, 3, 10
Factor -4*h**2 - 60*h - 224.
-4*(h + 7)*(h + 8)
Factor 3*b**4 + 21*b**3 - 12*b**2 - 84*b.
3*b*(b - 2)*(b + 2)*(b + 7)
Factor 57*i**2/4 - 153*i/4 - 27/2.
3*(i - 3)*(19*i + 6)/4
Determine k so that 2*k**4/7 + 6*k**3/7 + 2*k**2/7 - 6*k/7 - 4/7 = 0.
-2, -1, 1
Factor -q**3/5 + 809*q**2/10 + 81*q/2.
-q*(q - 405)*(2*q + 1)/10
Factor -h**4/3 - 6*h**3 - 4*h**2 + 296*h/3 - 128.
-(h - 2)**2*(h + 6)*(h + 16)/3
Determine n so that -16*n**3 + 432*n**2 - 420*n + 104 = 0.
1/2, 26
What is c in -21*c**4/2 - 24*c**3 - 6*c**2 = 0?
-2, -2/7, 0
Factor 4*h**4 - 56*h**3 + 204*h**2 - 216*h.
4*h*(h - 9)*(h - 3)*(h - 2)
Factor 4*o**2/7 + 12*o + 152/7.
4*(o + 2)*(o + 19)/7
Factor 5*z**3 + 23*z**2 - 10*z.
z*(z + 5)*(5*z - 2)
Find b such that 32000*b**3 + 4800*b**2 + 240*b + 4 = 0.
-1/20
Factor -5*d**4 - 135*d**3 + 760*d**2 - 1260*d + 640.
-5*(d - 2)**2*(d - 1)*(d + 32)
Solve -4*p**4 - 96*p**3 - 92*p**2 = 0.
-23, -1, 0
Solve 3*s**3/2 + 201*s**2/2 + 381*s/2 - 585/2 = 0 for s.
-65, -3, 1
What is t in 4*t**4/3 - 18*t**3 + 74*t**2/3 - 8*t = 0?
0, 1/2, 1, 12
Solve -x**5/3 - 16*x**4/3 - 76*x**3/3 - 82*x**2/3 + 77*x/3 + 98/3 = 0 for x.
-7, -2, -1, 1
Factor 2*t**2 - 4162*t.
2*t*(t - 2081)
Factor -3*f**3/2 - 27*f**2/2 + 150*f - 288.
-3*(f - 4)*(f - 3)*(f + 16)/2
Determine b so that 3*b**4 + 102*b**3 - 213*b**2 + 108*b = 0.
-36, 0, 1
Let -15*i**3 + 14*i**2 + 8*i = 0. What is i?
-2/5, 0, 4/3
Factor -103*m**2/6 + m/3.
-m*(103*m - 2)/6
Suppose -n**3 - 222*n**2 - 16428*n - 405224 = 0. Calculate n.
-74
Suppose 2*b**4/3 + 78*b**3 + 7186*b**2/3 + 6650*b + 4332 = 0. Calculate b.
-57, -2, -1
Suppose -z**5 - 11*z**4/2 - 6*z**3 + 11*z**2/2 + 7*z = 0. What is z?
-7/2, -2, -1, 0, 1
Factor 2*y**3 + 4*y**2 + 2*y.
2*y*(y + 1)**2
Factor -13*z**2/3 - 79*z/3 - 2.
-(z + 6)*(13*z + 1)/3
Let -2*p**2 - 132*p - 378 = 0. Calculate p.
-63, -3
Find j, given that -2*j**3/5 + 4*j**2 + 442*j/5 + 84 = 0.
-10, -1, 21
Factor 5*n**3 - 55*n**2 + 155*n - 105.
5*(n - 7)*(n - 3)*(n - 1)
Let y**5/2 - y**4 - y**3 + 2*y**2 + y/2 - 1 = 0. Calculate y.
-1, 1, 2
Factor t**4/4 - t**3 - 693*t**2/4 - 1998*t - 5940.
(t - 33)*(t + 5)*(t + 12)**2/4
Find l, given that -4*l**5 - 24*l**4 - 20*l**3 + 64*l**2 + 48*l - 64 = 0.
-4, -2, 1
Find h such that 36*h**2 - 146*h + 110 = 0.
1, 55/18
Solve -2*o**3/13 - 2*o**2/13 + 544*o/13 = 0.
-17, 0, 16
Determine g so that 20*g**2 - 708*g + 280 = 0.
2/5, 35
Suppose 4*v**2 + 5772*v + 5768 = 0. Calculate v.
-1442, -1
What is n in n**5 - 4*n**3 - 2*n**2 + 3*n + 2 = 0?
-1, 1, 2
Factor -21*f**3 - 146*f**2 - 203*f + 10.
-(f + 2)*(f + 5)*(21*f - 1)
Solve -4*b**4/5 + 16*b**3/5 - 12*b**2/5 - 16*b/5 + 16/5 = 0.
-1, 1, 2
Determine c, given that -3*c**4 + 900*c**3 + 906*c**2 - 900*c - 903 = 0.
-1, 1, 301
Factor 3*a**3/2 + 17*a**2 + 41*a/2 + 5.
(a + 1)*(a + 10)*(3*a + 1)/2
Factor b**5/3 + 14*b**4/3 + 8*b**3 - 2*b**2/3 - 25*b/3 - 4.
(b - 1)*(b + 1)**3*(b + 12)/3
Find i such that -3*i**3 + 78*i**2 - 579*i + 1260 = 0.
4, 7, 15
Suppose 20*w**4 - 128*w**3 - 272*w**2 + 128*w = 0. What is w?
-2, 0, 2/5, 8
Determine v so that 3*v**5 + 234*v**4 - 477*v**3 + 240*v**2 =