ose -v**5/8 - v**4/4 + 81*v**3/8 + v**2/4 - 10*v = 0. What is v?
-10, -1, 0, 1, 8
Find i such that 5*i**5 - 55*i**4 + 45*i**3 + 55*i**2 - 50*i = 0.
-1, 0, 1, 10
Suppose 2*m**2/3 + 10*m - 152/3 = 0. What is m?
-19, 4
Factor x**3/3 + 13*x**2/3 - 14*x/3.
x*(x - 1)*(x + 14)/3
Let 3*k**3 - 21132*k**2 + 49617936*k - 38834304576 = 0. What is k?
2348
Solve 5*m**4 + 65*m**3 - 75*m**2 - 65*m + 70 = 0.
-14, -1, 1
Factor -5*j**2 - 3865*j.
-5*j*(j + 773)
Solve -2*x**2 - 94*x = 0.
-47, 0
Determine b, given that -4*b**3 + b**2 + 4*b - 1 = 0.
-1, 1/4, 1
Suppose 5*r**5/6 + 10*r**4 + 35*r**3 + 130*r**2/3 + 35*r/2 = 0. What is r?
-7, -3, -1, 0
Let 10*r**3 + 368*r**2 + 626*r - 140 = 0. Calculate r.
-35, -2, 1/5
Suppose -h**2/4 - 13*h/4 + 15/2 = 0. What is h?
-15, 2
Suppose -2*j**5 + 8*j**4 + 8*j**3 - 68*j**2 + 90*j - 36 = 0. Calculate j.
-3, 1, 2, 3
Solve -5*k**4 - 5*k**3 + 80*k**2 + 20*k - 240 = 0.
-4, -2, 2, 3
Let -2*t**3/9 + 8*t**2/9 + 170*t/9 - 176/9 = 0. What is t?
-8, 1, 11
Factor c**2 - 53*c + 102.
(c - 51)*(c - 2)
Factor 493*a**2/4 - 15*a/4 - 9/2.
(17*a + 3)*(29*a - 6)/4
What is t in -5*t**5 + 545*t**4/4 + 1085*t**3/4 - 2045*t**2/4 + 435*t/4 = 0?
-3, 0, 1/4, 1, 29
Solve -t**5/6 - 2*t**4/3 + t**3/6 + 2*t**2/3 = 0.
-4, -1, 0, 1
Find n, given that -18*n**2 + 681*n + 114 = 0.
-1/6, 38
Factor 2*l**2/7 - 20*l/7 + 18/7.
2*(l - 9)*(l - 1)/7
Factor -w**5/2 + 25*w**4/2 - 47*w**3/2 + 23*w**2/2.
-w**2*(w - 23)*(w - 1)**2/2
Suppose -y**4/4 - 296*y**3 - 233445*y**2/2 - 15290450*y + 61629875/4 = 0. Calculate y.
-395, 1
Solve -d**5/7 - 10*d**4/7 - 32*d**3/7 - 26*d**2/7 + 33*d/7 + 36/7 = 0.
-4, -3, -1, 1
Determine b, given that -2*b**5/7 - 6*b**4/7 + 20*b**3/7 + 40*b**2/7 - 48*b/7 - 64/7 = 0.
-4, -2, -1, 2
Solve -4*q**5/5 + 12*q**4 - 68*q**3/5 - 476*q**2/5 + 72*q/5 + 416/5 = 0 for q.
-2, -1, 1, 4, 13
Find c, given that 3*c**2 - 39*c = 0.
0, 13
Find i, given that 4*i**3/7 + 32*i**2/7 - 132*i/7 = 0.
-11, 0, 3
Factor w**3/4 - 9*w**2/2 + 20*w.
w*(w - 10)*(w - 8)/4
Find u such that 50*u**2/3 + 2320*u/3 + 26912/3 = 0.
-116/5
Factor 2*s**2/5 + 48*s/5 + 46/5.
2*(s + 1)*(s + 23)/5
What is q in 2*q**2/5 - 756*q/5 + 71442/5 = 0?
189
Factor -3*b**4 + 42*b**3 - 207*b**2 + 408*b - 240.
-3*(b - 5)*(b - 4)**2*(b - 1)
Suppose 5*l**3 - 1755*l**2 + 153120*l + 154880 = 0. What is l?
-1, 176
Factor n**3/4 + 11*n**2 + 21*n.
n*(n + 2)*(n + 42)/4
Factor -2*w**2 - 4*w - 2.
-2*(w + 1)**2
Let -5*r**5 + 20*r**4 + 25*r**3 = 0. What is r?
-1, 0, 5
Suppose 3*q**3 + 1860*q**2 - 1863*q = 0. What is q?
-621, 0, 1
Suppose -66*t**2 + 27*t + 3 = 0. What is t?
-1/11, 1/2
Factor -2*z**2/5 - 32*z/5 - 128/5.
-2*(z + 8)**2/5
Find h such that 2*h**4 + 8*h**3 + 4*h**2 - 8*h - 6 = 0.
-3, -1, 1
Find o, given that -5*o**5 + 3150*o**4 - 664620*o**3 + 47612290*o**2 - 136939935*o = 0.
0, 3, 209
Solve 2*g**3/15 + 124*g**2/15 - 104*g/3 + 176/5 = 0.
-66, 2
Factor 2*p**4 + 14*p**3 + 8*p**2 - 24*p.
2*p*(p - 1)*(p + 2)*(p + 6)
Determine c so that -2*c**4/7 + 6*c**3/7 + 18*c**2/7 - 46*c/7 + 24/7 = 0.
-3, 1, 4
Suppose t**5 + 41*t**4 + 544*t**3 + 2072*t**2 - 3920*t - 5488 = 0. Calculate t.
-14, -1, 2
Factor -f**4/3 - f**3/3 + 17*f**2/3 - 5*f.
-f*(f - 3)*(f - 1)*(f + 5)/3
Factor -5*h**3/4 + 5*h**2/2 + 5*h/4 - 5/2.
-5*(h - 2)*(h - 1)*(h + 1)/4
Factor 2*x**2/5 + 162*x/5 + 152.
2*(x + 5)*(x + 76)/5
Factor 2*f**4/3 + 2*f**3/3 - 2*f**2 - 2*f/3 + 4/3.
2*(f - 1)**2*(f + 1)*(f + 2)/3
Let 5*s**3 + 45*s**2 - 620*s + 1020 = 0. What is s?
-17, 2, 6
Suppose -11*q**2/3 + 244*q/3 - 44/3 = 0. What is q?
2/11, 22
Factor 5*s**4 + 275*s**3.
5*s**3*(s + 55)
Suppose -17*b**4/2 + 649*b**3/2 - 1355*b**2/2 + 831*b/2 - 54 = 0. Calculate b.
3/17, 1, 36
Determine q, given that 2*q**3/7 - 360*q**2/7 + 21600*q/7 - 432000/7 = 0.
60
Suppose 5*o**4/3 + 80*o**3/3 + 235*o**2/3 - 680*o/3 - 880 = 0. Calculate o.
-11, -4, 3
Factor -3*i**5/7 + 480*i**4/7 - 19200*i**3/7.
-3*i**3*(i - 80)**2/7
Suppose 3*y**4 + 138*y**3 - 3957*y**2 - 127512*y + 2561328 = 0. Calculate y.
-44, 21
Factor 11*g**3 - 225*g**2 + 957*g + 2057.
(g - 11)**2*(11*g + 17)
Suppose -2*d**3/3 + 70*d**2/3 - 254*d/3 + 62 = 0. Calculate d.
1, 3, 31
Let 3*p**3/5 + 156*p**2/5 - 159*p/5 = 0. What is p?
-53, 0, 1
Solve -2*c**3/3 - 570*c**2 = 0.
-855, 0
Factor 4*f**3 - 28*f**2 - 32*f.
4*f*(f - 8)*(f + 1)
Suppose 2*q**3 + 6*q**2 + 6*q + 2 = 0. What is q?
-1
Suppose -12*o**5/7 + 15*o**4 - 348*o**3/7 + 543*o**2/7 - 396*o/7 + 108/7 = 0. What is o?
3/4, 1, 2, 3
Suppose -2*j**4/3 + 37*j**3/9 + 142*j**2/3 - 8*j = 0. What is j?
-6, 0, 1/6, 12
Factor -28*c**3 - 1256*c**2 + 2820*c.
-4*c*(c + 47)*(7*c - 15)
Factor -3*n**5 + 48*n**4 - 219*n**3 + 54*n**2 + 972*n + 648.
-3*(n - 6)**3*(n + 1)**2
Let -2*h**2/5 - 8*h - 40 = 0. Calculate h.
-10
Let -n**2/3 - 35*n/3 - 102 = 0. What is n?
-18, -17
Solve -2*g**5 - 28*g**4 - 88*g**3 - 80*g**2 = 0.
-10, -2, 0
Factor 5*g**4 + 2380*g**3 + 285590*g**2 + 564060*g + 280845.
5*(g + 1)**2*(g + 237)**2
Factor -2*w**3 - 302*w**2 + 1232*w - 1240.
-2*(w - 2)**2*(w + 155)
Suppose 2*i**5 - 130*i**4/7 - 314*i**3/7 + 562*i**2/7 - 132*i/7 = 0. Calculate i.
-3, 0, 2/7, 1, 11
Suppose -2*o**2/11 + 6552*o/11 - 5366088/11 = 0. Calculate o.
1638
Find q such that -3*q**3 + 21*q**2 - 48*q + 36 = 0.
2, 3
Determine c, given that -c**4/3 + c**3 - c**2/3 - c + 2/3 = 0.
-1, 1, 2
Determine n, given that -2*n**4/5 + 44*n**2/5 + 48*n/5 - 18 = 0.
-3, 1, 5
Factor 2*h**2/9 + 1016*h/9 - 680/3.
2*(h - 2)*(h + 510)/9
Solve -2*y**4/9 + 64*y**3/9 - 58*y**2/9 - 124*y/9 = 0.
-1, 0, 2, 31
Factor -4*z**3 + 44*z**2 - 144*z + 144.
-4*(z - 6)*(z - 3)*(z - 2)
Let -10*l**4/17 - 894*l**3/17 - 19706*l**2/17 + 12510*l/17 + 8100/17 = 0. Calculate l.
-45, -2/5, 1
Factor 3*a**5/7 - 150*a**3/7 + 1875*a/7.
3*a*(a - 5)**2*(a + 5)**2/7
Determine k, given that -4*k**3/5 + 24*k**2/5 - 4*k - 48/5 = 0.
-1, 3, 4
Let -5*x**3 + 215*x**2 - 800*x + 780 = 0. Calculate x.
2, 39
Factor -3*a**2 - 501*a - 990.
-3*(a + 2)*(a + 165)
Factor -j**2 - 2*j + 15.
-(j - 3)*(j + 5)
Let 96*f**4 + 567*f**3 + 1098*f**2 + 660*f - 72 = 0. What is f?
-2, 3/32
Let t**2/4 - 7*t/2 + 12 = 0. What is t?
6, 8
Factor 2*r**2/9 - 32/9.
2*(r - 4)*(r + 4)/9
Factor -138*t**2 - 553*t/2 - 1.
-(t + 2)*(276*t + 1)/2
Solve -u**2 + 5*u/4 - 1/4 = 0 for u.
1/4, 1
Factor 3*i**3 - 138*i**2/7 - 75*i/7 + 12.
3*(i - 7)*(i + 1)*(7*i - 4)/7
Factor -x**4/3 - 468*x**3 - 164268*x**2.
-x**2*(x + 702)**2/3
Solve 68*t**4 + 144*t**3 - 1412*t**2 + 1056*t + 144 = 0 for t.
-6, -2/17, 1, 3
Suppose 2*v**2 + 18*v = 0. What is v?
-9, 0
Factor -2*a**3 + 1762*a**2 - 1760*a.
-2*a*(a - 880)*(a - 1)
Suppose 7*a**3/9 - 614*a**2/9 - 799*a/9 - 178/9 = 0. What is a?
-1, -2/7, 89
Determine p, given that p**5/4 - 21*p**4/4 + 35*p**3/4 + 57*p**2/4 = 0.
-1, 0, 3, 19
Factor -b**3/2 + 26*b**2 - 149*b/2 + 49.
-(b - 49)*(b - 2)*(b - 1)/2
Factor -u**3/6 - 61*u**2/6 - 407*u/6 + 17797/6.
-(u - 13)*(u + 37)**2/6
Factor 3*p**2 + 3759*p + 7506.
3*(p + 2)*(p + 1251)
Factor 4*w**4 - 40*w**3 - 52*w**2 + 88*w.
4*w*(w - 11)*(w - 1)*(w + 2)
Factor -95*d**2 - 184*d/3 + 4/3.
-(3*d + 2)*(95*d - 2)/3
Solve -3*v**2 - 4230*v - 1491075 = 0.
-705
Factor -2*d**3/7 + 80*d**2/7 - 394*d/7 - 68.
-2*(d - 34)*(d - 7)*(d + 1)/7
Factor v**2/7 + 88*v/7 - 89/7.
(v - 1)*(v + 89)/7
Find p such that p**2/3 + 66*p - 199/3 = 0.
-199, 1
Solve 2*w**4 + 18*w**3 + 56*w**2 + 72*w + 32 = 0 for w.
-4, -2, -1
What is t in -2*t**5/5 - 92*t**4/5 + 98*t**3/5 + 188*t**2/5 = 0?
-47, -1, 0, 2
Factor 2*m**3/5 + 26*m**2/5 + 64*m/5 + 8.
2*(m + 1)*(m + 2)*(m + 10)/5
Factor b**3 - 13*b**2 + 32*b - 20.
(b - 10)*(b - 2)*(b - 1)
Solve -k**4 + 26*k**3 - 147*k**2 + 274*k - 152 = 0 for k.
1, 2, 4, 19
Factor r**3 - 7*r**2 - 28*r + 160.
(r - 8)*(r - 4)*(r + 5)
Factor -q**2 + 205*q + 206.
-(q - 206)*(q + 1)
Factor -2*h**3/3 + 122*h**2/3 + 128*h.
-2*h*(h - 64)*(h + 3)/3
Factor 2*c**2/3 + 142*c/3 + 220.
2*(c + 5)*(c + 66)/3
Determine b so that -245*b**5 - 2310*b**4 - 6495*b**3 - 4390*b**2 + 6240*b + 7200 = 0.
-5, -2, -12/7, 1
Solve 3*d**5 - 8*d**4 - 156*d**3 - 162*d**2 + 233*d + 90 = 0.
-5, -2, -1/3, 1, 9
Factor -d**2 + 55*d + 114.
-(d - 57)*(d + 2)
Solve -c**5/5 - 4*c**4 + 69*c**3/5 - 4*c**2/5 - 92*c/5 = 0.
-23, -1, 0, 2
Find g, given that -4*g**5/3 + 1740*g**4 - 559796*g**3 - 15413284*g**2/3 - 13784736*g - 9208512 = 0.
-4, -1, 657
Suppose -2*c**4/7 + 18*c**3/7 + 24*c**2/7 - 40*c/7 = 0.