 - 38*v/5 - 8.
2*(v - 20)*(v + 1)/5
Let a**5 - 17*a**4 + 79*a**3 - 155*a**2 + 136*a - 44 = 0. Calculate a.
1, 2, 11
Factor -2*n**4/3 - 2*n**3/3 + 10*n**2/3 - 2*n.
-2*n*(n - 1)**2*(n + 3)/3
Solve -3*w**2 + 453*w - 450 = 0 for w.
1, 150
Let -4*h**3 - 20*h**2 - 28*h - 12 = 0. What is h?
-3, -1
Factor 2*f**3/9 + 2*f**2/9 - 4*f/3.
2*f*(f - 2)*(f + 3)/9
Factor 6*p**3/11 + 12*p**2/11 + 6*p/11.
6*p*(p + 1)**2/11
Determine h so that 2*h**5/5 + 24*h**4/5 + 114*h**3/5 + 268*h**2/5 + 312*h/5 + 144/5 = 0.
-3, -2
Suppose x**3/4 - 11*x**2/4 - 221*x/4 + 231/4 = 0. Calculate x.
-11, 1, 21
Factor -8*a**3 + 471*a**2 + 539*a + 60.
-(a - 60)*(a + 1)*(8*a + 1)
Factor 2*x**2/11 - 854*x/11 - 156.
2*(x - 429)*(x + 2)/11
Find o, given that 3*o**3 - 261*o**2 - 12*o + 1044 = 0.
-2, 2, 87
Factor -5*j**4/4 + 105*j**3 - 2585*j**2 + 15960*j - 28880.
-5*(j - 38)**2*(j - 4)**2/4
Find h such that -h**4/5 + 13*h**3 - 1023*h**2/5 - 1089*h/5 = 0.
-1, 0, 33
Factor -5*v**2 - 20230*v - 20462645.
-5*(v + 2023)**2
Find u such that 25*u**3 + 10*u**2 - 225*u - 90 = 0.
-3, -2/5, 3
Determine h so that h**3 - 142*h**2 + 419*h - 278 = 0.
1, 2, 139
Find g, given that -14*g**5/3 - 218*g**4 - 1030*g**3/3 + 746*g**2 - 180*g = 0.
-45, -3, 0, 2/7, 1
Factor 2*d**2 + 28*d.
2*d*(d + 14)
Let 3*x**4/4 - 93*x**3 + 1809*x**2/4 - 717*x + 357 = 0. What is x?
1, 2, 119
Let 54*v**5/7 + 60*v**4/7 - 110*v**3/7 - 20*v**2/7 + 16*v/7 = 0. What is v?
-2, -4/9, 0, 1/3, 1
Factor 7*i**3/2 - 107*i**2/2 - 41*i + 16.
(i - 16)*(i + 1)*(7*i - 2)/2
Determine s, given that 2*s**3/9 + 40*s**2/3 + 198*s = 0.
-33, -27, 0
Let 2*j**4/11 - 2*j**3/11 - 6*j**2/11 + 2*j/11 + 4/11 = 0. Calculate j.
-1, 1, 2
Suppose 9*o**3 + 96*o**2 - 141*o + 36 = 0. Calculate o.
-12, 1/3, 1
Factor 3*h**2/8 - 51*h/8 + 99/4.
3*(h - 11)*(h - 6)/8
Factor -5*x**2 - 21110*x - 22281605.
-5*(x + 2111)**2
Solve 4*r**4 + 48*r**3 - 60*r**2 - 104*r = 0 for r.
-13, -1, 0, 2
Factor 3*h**5 + 33*h**4 - 117*h**3 + 123*h**2 - 42*h.
3*h*(h - 1)**3*(h + 14)
Factor -2*l**5/7 - 2*l**4/7 + 6*l**3/7 + 10*l**2/7 + 4*l/7.
-2*l*(l - 2)*(l + 1)**3/7
Find v, given that 7*v**4 - 632*v**3 + 19080*v**2 - 194400*v + 54000 = 0.
2/7, 30
Factor -3*q**3 + 21*q**2 + 90*q.
-3*q*(q - 10)*(q + 3)
Determine k so that 28*k**2/3 - 32*k/3 - 20 = 0.
-1, 15/7
Factor -5*k**3 + 5250*k**2 + 10515*k + 5260.
-5*(k - 1052)*(k + 1)**2
Factor -t**2/4 + 1131*t/4.
-t*(t - 1131)/4
Factor 28*l**4 - 400*l**3 + 1484*l**2 - 392*l.
4*l*(l - 7)**2*(7*l - 2)
Factor -i**3/12 - 679*i**2/2 - 461041*i - 626093678/3.
-(i + 1358)**3/12
Suppose 425*n**2 + 8085*n + 190 = 0. Calculate n.
-19, -2/85
Factor -5*b**5 - 15*b**4 + 50*b**3 - 10*b**2 - 45*b + 25.
-5*(b - 1)**3*(b + 1)*(b + 5)
Factor 35*y**3 - 170*y**2 + 225*y - 90.
5*(y - 3)*(y - 1)*(7*y - 6)
Suppose -3*h**4/5 + 18*h**3/5 - 3*h**2 - 36*h/5 = 0. What is h?
-1, 0, 3, 4
Suppose -o**3/5 - 7*o**2/5 - 14*o/5 - 8/5 = 0. What is o?
-4, -2, -1
Determine u, given that -3*u**2 - 66*u - 336 = 0.
-14, -8
Factor -5*c**4 + 25*c**3 + 85*c**2 - 105*c.
-5*c*(c - 7)*(c - 1)*(c + 3)
Find x, given that 3*x**3 + 27*x**2 - 3*x - 27 = 0.
-9, -1, 1
Factor u**4/4 + 2*u**3 + 5*u**2/4 - 19*u/2 + 6.
(u - 1)**2*(u + 4)*(u + 6)/4
Factor -4*v**3 - 128*v**2 - 924*v.
-4*v*(v + 11)*(v + 21)
Let 2*c**5/15 + 28*c**4/15 - 22*c**3/15 - 848*c**2/15 + 328*c/3 - 160/3 = 0. What is c?
-10, 1, 4
Factor -m**3/7 - 33*m**2/7 - 363*m/7 - 1331/7.
-(m + 11)**3/7
Factor -6*n**3/7 - 132*n**2/7 + 150*n/7 + 276/7.
-6*(n - 2)*(n + 1)*(n + 23)/7
What is r in -5*r**4 + 405*r**3 + 2215*r**2 - 5625*r + 3010 = 0?
-7, 1, 86
Factor 4*x**3 - 276*x**2 + 5148*x - 13068.
4*(x - 33)**2*(x - 3)
Factor 3*x**4/7 + 57*x**3/7 - 870*x**2/7.
3*x**2*(x - 10)*(x + 29)/7
Solve -5*i**5/4 + 3*i**4/4 + 5*i**3 - 3*i**2 = 0.
-2, 0, 3/5, 2
Find t, given that 2*t**2/5 - 88*t/5 + 576/5 = 0.
8, 36
Factor 5*t**2 + 40*t - 420.
5*(t - 6)*(t + 14)
Factor -2*s**2 - 102*s.
-2*s*(s + 51)
Suppose -4*i**3 + 32*i**2/3 = 0. What is i?
0, 8/3
Find b such that -2*b**5 + 42*b**4 - 240*b**3 + 200*b**2 = 0.
0, 1, 10
Determine v, given that 4*v**2 + 112*v - 372 = 0.
-31, 3
Determine o so that -3*o**3 - 16785*o**2 - 23469624*o + 23486412 = 0.
-2798, 1
Suppose -10443*m**3/5 + 1062*m**2/5 - 27*m/5 = 0. What is m?
0, 3/59
Find k, given that -4*k**5/3 + 56*k**4 - 736*k**3 + 9536*k**2/3 - 5568*k + 3456 = 0.
2, 18
Solve 108*d**5 + 3*d**4 - 978*d**3 - 27*d**2 + 54*d = 0.
-3, -1/4, 0, 2/9, 3
Factor 2*k**5/7 - 188*k**4 + 215162*k**3/7 + 62040*k**2 + 217800*k/7.
2*k*(k - 330)**2*(k + 1)**2/7
Factor -3*h**2/5 + 12*h/5 - 9/5.
-3*(h - 3)*(h - 1)/5
Factor 2*g**3/3 - 38*g**2/3 + 68*g/3.
2*g*(g - 17)*(g - 2)/3
Let 6*f**3 + 157*f**2/2 - 76*f + 14 = 0. What is f?
-14, 1/4, 2/3
Factor 9*r**4/2 - 42*r**3 - 30*r**2.
3*r**2*(r - 10)*(3*r + 2)/2
Determine v so that 20*v**3 + 95*v**2 - 305*v + 70 = 0.
-7, 1/4, 2
Factor -2*q**3 - 34*q**2 + 400*q.
-2*q*(q - 8)*(q + 25)
Factor 10*h**3/7 + 4*h**2 + 2*h - 4/7.
2*(h + 1)*(h + 2)*(5*h - 1)/7
Solve -j**2/4 - 92*j - 8464 = 0 for j.
-184
Factor 2*q**5 + 956*q**4 + 954*q**3.
2*q**3*(q + 1)*(q + 477)
Suppose 3*a**5 - 45*a**4 + 216*a**3 - 324*a**2 = 0. Calculate a.
0, 3, 6
Factor q**3/2 + 6*q**2 + 41*q/2 + 15.
(q + 1)*(q + 5)*(q + 6)/2
Factor 2*h**2 + 26*h.
2*h*(h + 13)
What is d in 6*d**4 + 37*d**3 + 72*d**2 + 47*d + 6 = 0?
-3, -2, -1, -1/6
Find z, given that 2*z**3/9 + 16*z**2/9 + 8*z/3 = 0.
-6, -2, 0
Factor -2*w**3/5 - 8*w**2 + 94*w/5 + 132/5.
-2*(w - 3)*(w + 1)*(w + 22)/5
Factor -2*k**2/13 + 28*k/13.
-2*k*(k - 14)/13
Find x, given that 2*x**5 - 28*x**4 + 108*x**3 - 176*x**2 + 130*x - 36 = 0.
1, 2, 9
Factor -2*k**4 + 8*k**3 + 30*k**2 - 36*k.
-2*k*(k - 6)*(k - 1)*(k + 3)
Find t, given that -2*t**3 - 24*t**2 + 288*t - 640 = 0.
-20, 4
Solve 2*l**4/9 - 1052*l**3/9 + 137282*l**2/9 + 92576*l/3 + 15488 = 0.
-1, 264
Factor -r**4/3 - 4*r**3 - 15*r**2 - 50*r/3.
-r*(r + 2)*(r + 5)**2/3
What is k in -3*k**5 + 48*k**4 - 51*k**3 - 930*k**2 + 936*k = 0?
-4, 0, 1, 6, 13
Let -14*f**2/3 + 34*f/3 - 4 = 0. What is f?
3/7, 2
Solve -4*z**3 + 84*z**2 - 72*z - 160 = 0.
-1, 2, 20
Let 10*u**5 + 82*u**4 + 126*u**3 - 58*u**2 - 136*u - 24 = 0. What is u?
-6, -2, -1, -1/5, 1
Solve -6*c**5 + 93*c**4/5 - 9*c**3/5 - 24*c**2 + 12*c/5 = 0 for c.
-1, 0, 1/10, 2
Determine p so that -p**5 - 22*p**4 - 140*p**3 - 218*p**2 - 99*p = 0.
-11, -9, -1, 0
Let -52728*d**5 + 87204*d**4 - 18330*d**3 - 14121*d**2 - 1944*d - 81 = 0. Calculate d.
-3/26, 1
Factor 7*x**3/5 + 129*x**2/5 - 76*x/5.
x*(x + 19)*(7*x - 4)/5
Let 5*s**3 - 47445*s**2 + 150068535*s - 158222258735 = 0. Calculate s.
3163
Solve 4*z**4/5 + 136*z**3/5 + 128*z**2/5 - 136*z/5 - 132/5 = 0.
-33, -1, 1
Factor 2*i**2 + 64*i + 512.
2*(i + 16)**2
Find k such that -2*k**4/5 + 6*k**3/5 + 36*k**2/5 - 16*k = 0.
-4, 0, 2, 5
Solve 8*g**3 + 98*g**2 + 98*g - 132 = 0 for g.
-11, -2, 3/4
Factor -m**4/5 + 4*m**3 - 126*m**2/5 + 196*m/5 + 343/5.
-(m - 7)**3*(m + 1)/5
Suppose -g**4/2 + 20*g**3 - 239*g**2/2 + 124*g + 264 = 0. Calculate g.
-1, 4, 33
Solve r**2/5 - 9*r + 70 = 0 for r.
10, 35
Factor -225*k**4/8 - 5280*k**3 - 247103*k**2 + 66176*k - 4418.
-(k + 94)**2*(15*k - 2)**2/8
Find a such that -4*a**2 + 52*a + 360 = 0.
-5, 18
Determine g so that -10*g**4/3 - 10*g**3 - 5*g**2/6 + 10*g - 10/3 = 0.
-2, 1/2
Factor -25*d**3/2 + 1305*d**2/2 - 8580*d + 1690.
-5*(d - 26)**2*(5*d - 1)/2
Factor 19044*v**3/7 - 552*v**2/7 + 4*v/7.
4*v*(69*v - 1)**2/7
Find q, given that 147*q**4 + 1533*q**3 - 2676*q**2 + 1140*q - 144 = 0.
-12, 2/7, 1
Solve -2*b**4/5 + 6*b**3/5 - 2*b**2/5 - 6*b/5 + 4/5 = 0.
-1, 1, 2
Suppose 2*k**2/7 + 1158*k/7 - 1160/7 = 0. What is k?
-580, 1
Determine g, given that g**5/2 - 4*g**4 - 11*g**3 + 46*g**2 + 213*g/2 + 54 = 0.
-3, -1, 4, 9
Find x, given that -x**2/3 + 17*x + 54 = 0.
-3, 54
Find t such that 3*t**2/5 + 42*t/5 + 99/5 = 0.
-11, -3
Factor -148955*u**3 - 345960*u**2 - 267840*u - 69120.
-5*(31*u + 24)**3
Factor 2*l**3/3 + 2*l**2 + 4*l/3.
2*l*(l + 1)*(l + 2)/3
Find a such that -3*a**5/8 + 39*a**4/8 - 57*a**3/8 - 879*a**2/8 + 399*a - 735/2 = 0.
-5, 2, 7
What is b in 245*b**4 + 8540*b**3 + 73440*b**2 - 34160*b - 297680 = 0?
-122/7, -2, 2
Factor -19*o**2/9 + 2*o/9.
-o*(19*o - 2)/9
Factor -12*s**3 + 633*s**2 + 159*s.
-3*s*(s - 53)*(4*s + 1)
Factor 4*b**5/5 - 32*b**3 + 128*b**2 - 192*b + 512/5.
4*(b - 2)**4*(b + 8)/5
Find u, given that -u**3 + 43*u