4*w**4 - 128*w**3 + 580*w**2 + 128*w - 576 = 0. Calculate w.
-36, -1, 1, 4
Find c, given that -4*c**5 + 104*c**4 + 464*c**3 + 480*c**2 = 0.
-2, 0, 30
Determine r so that -2*r**4/11 - 10*r**3/11 + 4*r**2/11 + 48*r/11 = 0.
-4, -3, 0, 2
Factor j**2/2 + 11*j/2 + 9.
(j + 2)*(j + 9)/2
Suppose 4*t**2 - 456*t + 12996 = 0. Calculate t.
57
Factor 355*k**2 + 370*k + 15.
5*(k + 1)*(71*k + 3)
Solve k**4/3 - 20*k**3/3 - 1843*k**2/3 - 20938*k/3 = 0.
-19, 0, 58
Let -27*q**4 - 3*q**3 + 324*q**2 + 468*q + 48 = 0. Calculate q.
-2, -1/9, 4
Solve -l**4/9 + 4*l**3/9 - 2*l**2/9 - 4*l/9 + 1/3 = 0 for l.
-1, 1, 3
Let 5*p**5/4 + 55*p**4/4 + 115*p**3/2 + 225*p**2/2 + 405*p/4 + 135/4 = 0. Calculate p.
-3, -1
Factor 2*b**2 - 6*b - 36.
2*(b - 6)*(b + 3)
Determine g, given that -5*g**4 + 5*g**2 = 0.
-1, 0, 1
Factor -2*k**2/21 - 1132*k/21 - 160178/21.
-2*(k + 283)**2/21
Let 9*c**2/7 + 26*c + 40/7 = 0. Calculate c.
-20, -2/9
What is k in -31*k**2/4 - 33*k/4 - 1/2 = 0?
-1, -2/31
Factor -s**2/2 + 2*s.
-s*(s - 4)/2
Solve j**3/7 - 801*j**2/7 + 213867*j/7 - 19034163/7 = 0 for j.
267
Find w, given that 2*w**5 + 14*w**4 - 10*w**3 - 142*w**2 + 80*w + 200 = 0.
-5, -1, 2
Solve -g**4/3 + 2*g**2 - 8*g/3 + 1 = 0 for g.
-3, 1
Suppose -3*o**2/2 + 51*o/2 - 99 = 0. What is o?
6, 11
Let 2*k**4/7 - 66*k**3/7 + 684*k**2/7 - 328*k + 336 = 0. What is k?
2, 3, 14
Factor -3*v**4/7 + 3*v**3 + 3*v**2/7 - 3*v.
-3*v*(v - 7)*(v - 1)*(v + 1)/7
Let 2*m**2 + 688*m + 59168 = 0. What is m?
-172
Let 2*a**2/7 + 5348*a + 25025966 = 0. Calculate a.
-9359
Suppose 5*b**2 - 2360*b + 278480 = 0. What is b?
236
Factor -4*a**3 + 444*a**2 - 12540*a + 12100.
-4*(a - 55)**2*(a - 1)
Find q such that 5*q**3/3 + 150*q**2 - 3860*q/3 + 1960 = 0.
-98, 2, 6
Factor -b**3/8 + 13*b**2 - 689*b/8 + 485/4.
-(b - 97)*(b - 5)*(b - 2)/8
Factor 3*q**4 - 66*q**3 - 225*q**2.
3*q**2*(q - 25)*(q + 3)
Let -t**5/3 - 85*t**4/6 - 123*t**3 + 1804*t**2/3 - 598*t/3 - 529/2 = 0. Calculate t.
-23, -1/2, 1, 3
Find t such that 2*t**5/7 - 160*t**4/7 + 3914*t**3/7 - 29044*t**2/7 + 11840*t - 11200 = 0.
2, 4, 35
Let 4*w**4 + 24*w**3 + 28*w**2 - 24*w - 32 = 0. Calculate w.
-4, -2, -1, 1
Suppose -15*x**4/4 + 3*x**3/2 + 105*x**2/4 - 33*x + 9 = 0. Calculate x.
-3, 2/5, 1, 2
Factor a**3/8 - 17*a**2/2 + 33*a/2.
a*(a - 66)*(a - 2)/8
Factor w**3 - 4*w**2 + w + 6.
(w - 3)*(w - 2)*(w + 1)
Solve -2*i**2/3 - 756*i + 2270/3 = 0 for i.
-1135, 1
Factor 3*x**2/4 - 99*x + 3267.
3*(x - 66)**2/4
Factor d**3/9 + 55*d**2/9 - 232*d/9 + 236/9.
(d - 2)**2*(d + 59)/9
Suppose -3*k**3/2 - 153*k**2 - 897*k/2 - 297 = 0. Calculate k.
-99, -2, -1
What is s in 3*s**3 - 21*s**2 - 24*s = 0?
-1, 0, 8
Determine b so that -2*b**2 - 124*b = 0.
-62, 0
Find s such that -2*s**4/15 + 4*s**3/5 - 16*s**2/15 - 4*s/5 + 6/5 = 0.
-1, 1, 3
Factor -8*r**2 + 116*r + 124.
-4*(r + 1)*(2*r - 31)
Find h, given that -17*h**3 + 338*h**2/5 - 332*h/5 - 8/5 = 0.
-2/85, 2
Suppose -10*t**2/11 + 82*t/11 - 16/11 = 0. What is t?
1/5, 8
Find k, given that -3*k**4/2 - 12*k**3 - 45*k**2/2 + 12*k + 24 = 0.
-4, -1, 1
Solve -5*l**5 - 30*l**4 - 40*l**3 + 30*l**2 + 45*l = 0 for l.
-3, -1, 0, 1
Solve 124*m**3 + 380*m**2 + 272*m + 16 = 0.
-2, -1, -2/31
Factor c**3/4 - c**2 - 5*c + 12.
(c - 6)*(c - 2)*(c + 4)/4
Find x, given that 4*x**3 + 8*x**2 - 6716*x + 101568 = 0.
-48, 23
Let 5*t**2 + 240*t + 2880 = 0. Calculate t.
-24
Factor 2*s**2 - 42*s.
2*s*(s - 21)
Factor 2*q**3/3 + 30*q**2 - 392*q/3.
2*q*(q - 4)*(q + 49)/3
Solve t**4/3 + 244*t**3/3 - 246*t**2 + 740*t/3 - 247/3 = 0 for t.
-247, 1
Suppose -5*b**2 - 2225*b + 2230 = 0. Calculate b.
-446, 1
Solve 4*a**5 + 42*a**4 + 52*a**3 - 240*a**2 - 128*a = 0.
-8, -4, -1/2, 0, 2
Let 3*d**5 + 21*d**4 + 48*d**3 + 36*d**2 = 0. Calculate d.
-3, -2, 0
Let -5*f**5 - 95*f**4 + 15*f**3 + 275*f**2 - 190*f = 0. Calculate f.
-19, -2, 0, 1
Factor -2*w**2/3 + 328*w/3 - 2198/3.
-2*(w - 157)*(w - 7)/3
Factor 49*w**5 - 1554*w**4 - 447*w**3 - 32*w**2.
w**2*(w - 32)*(7*w + 1)**2
Let u**4 + 3*u**3 - 7*u**2 - 27*u - 18 = 0. What is u?
-3, -2, -1, 3
Solve 2*o**4/11 + 14*o**3/11 + 12*o**2/11 - 56*o/11 - 80/11 = 0.
-5, -2, 2
Let 5*r**3 + 3*r**2 - 2*r = 0. Calculate r.
-1, 0, 2/5
Find s, given that -2*s**3 + 622*s**2 - 49280*s + 142296 = 0.
3, 154
Let 9*o**3 - 120*o**2 + 132*o + 144 = 0. Calculate o.
-2/3, 2, 12
Determine s, given that -5*s**5 + 175*s**3 - 450*s**2 + 280*s = 0.
-7, 0, 1, 2, 4
Determine i, given that -3*i**5/8 - 3*i**4/4 + 15*i**3/2 + 99*i**2/4 + 135*i/8 = 0.
-3, -1, 0, 5
Determine i, given that 3*i**3 - 3*i**2 - 3*i + 3 = 0.
-1, 1
Let z**4 + 10*z**3 + 8*z**2 - 10*z - 9 = 0. What is z?
-9, -1, 1
Solve 7*p**3 - 1755*p**2 + 1248*p + 500 = 0.
-2/7, 1, 250
Find h such that -h**5 + 22*h**4 + 100*h**3 + 104*h**2 = 0.
-2, 0, 26
What is h in 350*h**4 - 90*h**3 - 306*h**2 + 122*h - 12 = 0?
-1, 1/5, 6/7
Find r, given that -2361*r**2 - 9446*r - 8 = 0.
-4, -2/2361
Solve 5*f**4 - 35*f**3 - 60*f**2 + 340*f + 560 = 0.
-2, 4, 7
Factor 2*s**2/7 + 26*s/7.
2*s*(s + 13)/7
Factor 2*u**3/11 - 28*u**2/11 - 1160*u/11 - 6800/11.
2*(u - 34)*(u + 10)**2/11
Suppose -2*y**3/9 - 46*y**2/9 + 152*y/9 - 104/9 = 0. Calculate y.
-26, 1, 2
Solve -j**3/5 - j**2 - 4*j/5 = 0 for j.
-4, -1, 0
What is s in 3*s**5/7 - 27*s**4/7 + 33*s**3/7 + 87*s**2/7 - 180*s/7 + 12 = 0?
-2, 1, 2, 7
Let 3*t**3/2 + 57*t**2/2 - 48*t - 360 = 0. What is t?
-20, -3, 4
Factor -3*v**2/2 - 315*v/2 - 459.
-3*(v + 3)*(v + 102)/2
Find s, given that -s**3/5 - 2*s**2 + 292*s/5 + 616/5 = 0.
-22, -2, 14
Solve -98*w**5 - 1918*w**4 - 10774*w**3 - 13634*w**2 - 5328*w - 648 = 0 for w.
-9, -1, -2/7
Let 2*z**3/9 + 878*z**2/9 - 1762*z/9 + 98 = 0. What is z?
-441, 1
Suppose -3*r**3/4 + 87*r**2/4 = 0. What is r?
0, 29
Let 2*r**4/5 - 8*r**3/5 + 6*r**2/5 + 8*r/5 - 8/5 = 0. Calculate r.
-1, 1, 2
Factor -2*t**2/17 + 166*t/17 + 168/17.
-2*(t - 84)*(t + 1)/17
Determine m, given that 32*m**5/11 - 48*m**4 + 258*m**3/11 - 32*m**2/11 = 0.
0, 1/4, 16
Factor -4*w**2 - 48*w.
-4*w*(w + 12)
Solve -2*q**3 + 92*q**2 = 0.
0, 46
Factor 28*k**2/9 - 1100*k/9 + 104/3.
4*(k - 39)*(7*k - 2)/9
What is c in -c**5 - 2*c**4 + 2*c**3 + 4*c**2 - c - 2 = 0?
-2, -1, 1
Factor -3*k**2/5 - 174*k/5 - 2331/5.
-3*(k + 21)*(k + 37)/5
Factor -5*t**2/2 - 1041*t/2 - 104.
-(t + 208)*(5*t + 1)/2
Factor c**5/2 + c**4 - c**2 - c/2.
c*(c - 1)*(c + 1)**3/2
Factor 2*k**3/3 + 108*k**2 + 832*k + 4928/3.
2*(k + 4)**2*(k + 154)/3
Solve 3*n**5 - 4*n**4 - 13*n**3 - 6*n**2 = 0 for n.
-1, -2/3, 0, 3
Determine g, given that g**2 + 45*g + 86 = 0.
-43, -2
Find z, given that 5*z**2 + 265*z + 510 = 0.
-51, -2
Factor -a**3/5 + 12*a/5 - 16/5.
-(a - 2)**2*(a + 4)/5
Factor 4*h**3 + 1116*h**2 + 103788*h + 3217428.
4*(h + 93)**3
Let 4*z**5/3 + 113*z**4/3 + 340*z**3/3 + 382*z**2/3 + 176*z/3 + 25/3 = 0. What is z?
-25, -1, -1/4
Factor -2*s**3/7 - 24*s**2/7 - 72*s/7.
-2*s*(s + 6)**2/7
Find h such that h**5/3 + 8*h**4/3 - 10*h**3/3 - 8*h**2/3 + 3*h = 0.
-9, -1, 0, 1
Let -2*x**5/5 + 152*x**4/5 - 604*x**3 + 4448*x**2/5 + 18574*x/5 + 10952/5 = 0. What is x?
-1, 4, 37
Suppose -4*k**3/3 - 532*k**2/3 + 6296*k/3 - 1920 = 0. What is k?
-144, 1, 10
Find p such that -p**3/4 - 207*p**2/2 - 411*p/4 + 413/2 = 0.
-413, -2, 1
Let 4*k**3 - 28*k**2 + 64*k - 48 = 0. Calculate k.
2, 3
Factor m**4 + 10*m**3 - 192*m**2 - 410*m - 209.
(m - 11)*(m + 1)**2*(m + 19)
Factor -3*g**5/4 + 75*g**4/4 - 141*g**3/4 + 69*g**2/4.
-3*g**2*(g - 23)*(g - 1)**2/4
Solve 4*r**4 - 18*r**3 - 4*r**2 + 78*r - 36 = 0.
-2, 1/2, 3
Factor -3*k**3 - 2043*k**2 - 463761*k - 35091249.
-3*(k + 227)**3
Determine j so that -2*j**3 - 42*j**2 - 288*j - 648 = 0.
-9, -6
Let -2*k**5/9 + 244*k**4/9 - 482*k**3/9 + 80*k**2/3 = 0. Calculate k.
0, 1, 120
Factor -4*b**3/7 + 16*b**2 + 6656*b/7 + 61440/7.
-4*(b - 60)*(b + 16)**2/7
What is c in -c**3 - 54*c**2 + 55*c = 0?
-55, 0, 1
Factor z**5 - 405*z**4 + 403*z**3 + 405*z**2 - 404*z.
z*(z - 404)*(z - 1)**2*(z + 1)
Find h such that -2*h**2/9 - 406*h/9 + 136/3 = 0.
-204, 1
Find q, given that -3*q**3 - 21*q**2 - 12*q + 36 = 0.
-6, -2, 1
Find c such that -2*c**5 - 22*c**4 - 48*c**3 = 0.
-8, -3, 0
Factor -c**4 + 103*c**3 - 490*c**2.
-c**2*(c - 98)*(c - 5)
Factor -3*f**5 + 39*f**4 - 120*f**3 + 108*f**2.
-3*f**2*(f - 9)*(f - 2)**2
Factor q**3/12 + 36*q**2 + 5184*q + 248832.
(q + 144)**3/12
Factor -26*z**2/11 + 68*z/11 - 32/11.
-2*(z - 2)*(13*z - 8)/11
Determine z so tha