 k**2 + 196*k - 597.
(k - 3)*(k + 199)
Find g, given that -g**3/5 + 41*g**2 - 406*g/5 = 0.
0, 2, 203
Determine o, given that -2*o**4/17 - 182*o**3/17 - 4230*o**2/17 - 4050*o/17 = 0.
-45, -1, 0
Factor q**2/2 + 67*q + 4489/2.
(q + 67)**2/2
Factor 55*f**3/3 - 15*f**2 - 10*f/3.
5*f*(f - 1)*(11*f + 2)/3
Factor 5*o**4/3 - 25*o**3/3 - 35*o**2/3 + 25*o/3 + 10.
5*(o - 6)*(o - 1)*(o + 1)**2/3
Factor -b**2/3 - 43*b/3 - 130.
-(b + 13)*(b + 30)/3
Factor -a**3/4 + 9*a**2/2.
-a**2*(a - 18)/4
Let -2*q**5/13 - 14*q**4/13 - 14*q**3/13 + 38*q**2/13 + 32*q/13 - 40/13 = 0. Calculate q.
-5, -2, 1
Factor -13*z**3/4 - 6*z**2 + z.
-z*(z + 2)*(13*z - 2)/4
Factor -4*h**4/7 - 572*h**3/7 + 504*h**2 - 7120*h/7 + 4768/7.
-4*(h - 2)**3*(h + 149)/7
Factor 5*j**2 - 105*j - 810.
5*(j - 27)*(j + 6)
Factor -4*t**4 + 476*t**3 + 480*t**2.
-4*t**2*(t - 120)*(t + 1)
Factor 5*o**5 - 85*o**4 + 315*o**3 + 405*o**2.
5*o**2*(o - 9)**2*(o + 1)
Factor 98*o**3 - 9954*o**2 + 5664*o - 808.
2*(o - 101)*(7*o - 2)**2
Solve -q**5 - 10*q**4 - 6*q**3 + 32*q**2 + 47*q + 18 = 0 for q.
-9, -1, 2
What is n in 2*n**4/3 - 256*n**3/3 + 8680*n**2/3 - 30752*n/3 = 0?
0, 4, 62
Factor 4*q**4 - 468*q**3 + 12968*q**2 + 42240*q + 28800.
4*(q - 60)**2*(q + 1)*(q + 2)
Determine n so that n**3/4 + n**2/2 - 3*n/4 = 0.
-3, 0, 1
Factor 6*x**3/5 + 1284*x**2/5 - 6*x/5 - 1284/5.
6*(x - 1)*(x + 1)*(x + 214)/5
Factor 2*t**3/9 - 128*t**2/9 + 122*t/3.
2*t*(t - 61)*(t - 3)/9
Let -9*y**5 + 105*y**4 - 63*y**3 - 33*y**2 = 0. What is y?
-1/3, 0, 1, 11
Factor -z**4 + 15*z**3 + 33*z**2 + 17*z.
-z*(z - 17)*(z + 1)**2
Factor 2*l**5/9 + 4*l**4/9 - 88*l**3/3 + 112*l**2.
2*l**2*(l - 6)**2*(l + 14)/9
Solve -2*i**4/5 + 62*i**3/5 - 714*i**2/5 + 3626*i/5 - 1372 = 0.
7, 10
Suppose -i**5/3 - 34*i**4/3 - 76*i**3 + 298*i**2/3 + 229*i/3 - 88 = 0. Calculate i.
-24, -11, -1, 1
Determine v so that 25*v**2 - 20*v = 0.
0, 4/5
What is w in 5*w**3 + 10*w**2 - 25*w - 30 = 0?
-3, -1, 2
Find j, given that 12*j**5 - 48*j**4 - 57*j**3 - 15*j**2 = 0.
-1/2, 0, 5
Determine j, given that -4*j**5/7 - 1076*j**4/7 - 10260*j**3 + 72900*j**2/7 = 0.
-135, 0, 1
Factor -4*z**5 - 20*z**4 - 16*z**3 + 64*z**2 + 128*z + 64.
-4*(z - 2)*(z + 1)*(z + 2)**3
Let -5*b**3/3 - 5*b**2/3 + 5*b/3 + 5/3 = 0. Calculate b.
-1, 1
Factor -k**4/3 - k**3/3 + 10*k**2/3 - 8*k/3.
-k*(k - 2)*(k - 1)*(k + 4)/3
Factor 4*q**2 - 28*q + 48.
4*(q - 4)*(q - 3)
Let -867*r**3/2 - 4131*r**2/2 + 504*r - 30 = 0. Calculate r.
-5, 2/17
Factor 89*u**2 - 359*u + 12.
(u - 4)*(89*u - 3)
Factor -9*t**2 - 93*t - 30.
-3*(t + 10)*(3*t + 1)
Factor 2*i**3 - 588*i**2 + 43218*i.
2*i*(i - 147)**2
Factor 4*p**5 - 8*p**4 + 8*p**2 - 4*p.
4*p*(p - 1)**3*(p + 1)
Determine f, given that -f**4/7 - 9*f**3/7 - 3*f**2 - 19*f/7 - 6/7 = 0.
-6, -1
Find a, given that -4*a**5 + 72696*a**4/7 - 47195280*a**3/7 + 13478432*a**2/7 = 0.
0, 2/7, 1298
Factor 2*t**2 + 484*t - 1470.
2*(t - 3)*(t + 245)
Let 4*g**3 + 172*g**2 - 16*g - 688 = 0. Calculate g.
-43, -2, 2
Factor 3*f**4 - 39*f**3 + 150*f**2 - 96*f - 288.
3*(f - 6)*(f - 4)**2*(f + 1)
Factor -25*v**4/2 - 2890*v**3 - 165882*v**2 + 134096*v - 26912.
-(v + 116)**2*(5*v - 2)**2/2
Factor -u**3/5 - 11*u**2/5 + 14*u/5 + 24/5.
-(u - 2)*(u + 1)*(u + 12)/5
Determine j so that 2*j**4/5 - 14*j**3/5 = 0.
0, 7
Factor 35*t**4 + 480*t**3 + 315*t**2 - 130*t.
5*t*(t + 1)*(t + 13)*(7*t - 2)
Find x, given that -3*x**2/5 + 3*x - 12/5 = 0.
1, 4
Suppose -3*r**4/4 - 159*r**3/2 - 9039*r**2/4 - 8109*r - 7803 = 0. What is r?
-51, -2
Let 2*l**5/7 - 2*l**3 + 12*l**2/7 = 0. What is l?
-3, 0, 1, 2
Suppose -441*l**5 + 4494*l**4 - 844*l**3 + 40*l**2 = 0. Calculate l.
0, 2/21, 10
What is y in 5*y**4 + 14*y**3 - 123*y**2 + 164*y - 28 = 0?
-7, 1/5, 2
Factor 4*c**4 + 7032*c**3 + 7028*c**2.
4*c**2*(c + 1)*(c + 1757)
Factor 99*y**2/7 + 96*y/7 - 3/7.
3*(y + 1)*(33*y - 1)/7
Factor -4*s**2/3 - 140*s/3 - 136/3.
-4*(s + 1)*(s + 34)/3
What is q in q**3/7 - 39*q**2/7 + 38*q/7 = 0?
0, 1, 38
Suppose -2*l**3/23 + 14*l**2/23 + 56*l/23 + 40/23 = 0. What is l?
-2, -1, 10
Factor -5*z**2 - 570*z + 4235.
-5*(z - 7)*(z + 121)
Determine g, given that -g**5 - 4*g**4 + 3*g**3 + 10*g**2 - 8*g = 0.
-4, -2, 0, 1
Factor -w**2/8 + 22*w - 175/8.
-(w - 175)*(w - 1)/8
Factor -2*n**2 + 1458*n + 1460.
-2*(n - 730)*(n + 1)
Factor -4*m**3 - 672*m**2 + 1356*m - 680.
-4*(m - 1)**2*(m + 170)
Factor -2*s**2/17 - 6*s/17.
-2*s*(s + 3)/17
Factor 4*w**4 - 24*w**3 + 20*w**2.
4*w**2*(w - 5)*(w - 1)
Find m such that -24649*m**2/4 - 1413*m - 81 = 0.
-18/157
Factor -m**5 - 48*m**4 - 576*m**3.
-m**3*(m + 24)**2
Determine r so that -2*r**3 - 534*r**2 + 2162*r - 1626 = 0.
-271, 1, 3
Suppose 21*s**5/5 + 111*s**4/5 + 27*s**3 - 15*s**2 - 156*s/5 - 36/5 = 0. Calculate s.
-3, -2, -1, -2/7, 1
Let 6*c**4 - 50*c**3 + 156*c**2 - 216*c + 112 = 0. Calculate c.
2, 7/3
Solve -2*j**2 + 22*j - 60 = 0 for j.
5, 6
Let -12*j**4/5 + 501*j**3/5 - 5166*j**2/5 - 1323*j/5 = 0. Calculate j.
-1/4, 0, 21
Find h, given that 2*h**3 - 14*h**2 + 22*h - 10 = 0.
1, 5
Let 5*p**5/2 - 45*p**4 - 5*p**3/2 + 45*p**2 = 0. What is p?
-1, 0, 1, 18
Find m, given that -2*m**3/9 - 36*m**2 - 1944*m - 34992 = 0.
-54
Factor 82*j**3/3 + 500*j**2/9 + 16*j/9.
2*j*(j + 2)*(123*j + 4)/9
Factor 4*z**5/3 + 24*z**4 - 52*z**3 + 80*z**2/3.
4*z**2*(z - 1)**2*(z + 20)/3
Solve g**2 - 77*g - 78 = 0.
-1, 78
Find p, given that -16*p**2 - 228*p - 56 = 0.
-14, -1/4
What is b in 3*b**5 - 12*b**4 - 24*b**3 + 192*b**2 - 336*b + 192 = 0?
-4, 2
Factor 4*x**3 - 164*x**2 - 168*x.
4*x*(x - 42)*(x + 1)
Factor 5*y**2 - 5420*y + 1468820.
5*(y - 542)**2
Suppose 5*o**3 + 1060*o**2 - 5*o - 1060 = 0. What is o?
-212, -1, 1
Suppose -g**4/2 - 3*g**3 - 4*g**2 + 3*g + 9/2 = 0. Calculate g.
-3, -1, 1
Let -3*c**2/8 + 18*c - 69/2 = 0. What is c?
2, 46
Solve -4*x**4/17 + 110*x**3/17 - 152*x**2/17 - 104*x/17 = 0.
-1/2, 0, 2, 26
Factor -t**2/4 - t - 1.
-(t + 2)**2/4
Suppose -5*q**3 + 245*q**2 - 920*q + 900 = 0. Calculate q.
2, 45
Solve -z**5/2 - 30*z**4 - 475*z**3 - 640*z**2 + 5655*z/2 - 1682 = 0.
-29, -4, 1
Find l, given that 5*l**5 + 305*l**4 + 6575*l**3 + 57095*l**2 + 158840*l + 137180 = 0.
-19, -2
Suppose h**3 + 30*h**2 + 252*h + 392 = 0. What is h?
-14, -2
Suppose 6*w**3/11 - 1206*w**2/11 = 0. Calculate w.
0, 201
Determine o, given that 3*o**4/2 - 1005*o**3 - 2019*o**2/2 + 2013*o = 0.
-2, 0, 1, 671
Suppose 3*i**2 + 81*i - 174 = 0. What is i?
-29, 2
Let -2*n**4/15 - 44*n**3/5 - 74*n**2/3 + 168*n/5 = 0. Calculate n.
-63, -4, 0, 1
Factor -b**3 + 6*b**2 + 25*b + 18.
-(b - 9)*(b + 1)*(b + 2)
Find c, given that 5*c**4 + 15*c**3 - 10*c**2 - 60*c - 40 = 0.
-2, -1, 2
Suppose -3*l**2 - 2643*l - 2640 = 0. What is l?
-880, -1
Factor 2*p**2 - 42*p - 464.
2*(p - 29)*(p + 8)
Factor -k**2 + 128*k - 2160.
-(k - 108)*(k - 20)
Factor 75*d**2/2 - 3*d.
3*d*(25*d - 2)/2
Factor -3*c**2 + 462*c + 465.
-3*(c - 155)*(c + 1)
Factor -p**2/7 + 8*p/7 - 15/7.
-(p - 5)*(p - 3)/7
Determine o, given that 8*o**5 - 26*o**4 - 2*o**3 + 26*o**2 - 6*o = 0.
-1, 0, 1/4, 1, 3
Factor q**4/3 + 11*q**3/3 - 16*q**2/3 - 320*q/3.
q*(q - 5)*(q + 8)**2/3
Factor -2*v**2 + 4940*v - 3050450.
-2*(v - 1235)**2
Factor -r**3/3 - 23*r**2/3 - 91*r/3 + 169.
-(r - 3)*(r + 13)**2/3
Factor -2*x**2 + 148*x - 2738.
-2*(x - 37)**2
Solve -3*q**2/2 + 819*q = 0 for q.
0, 546
Find f such that 21*f**2 - 15*f = 0.
0, 5/7
Find f such that f**2/3 - 178*f/3 = 0.
0, 178
Factor -36*m**2 + 1344*m - 12544.
-4*(3*m - 56)**2
Suppose -6779814*y**3 - 6788318*y**2 - 25520*y/3 - 8/3 = 0. What is y?
-1, -2/3189
Factor g**3 - 4*g**2 - 3*g + 18.
(g - 3)**2*(g + 2)
Factor 2*v**3/11 + 8*v**2/11 + 6*v/11.
2*v*(v + 1)*(v + 3)/11
Suppose 6*m**5/5 + 12*m**4/5 - 24*m**3/5 - 12*m**2/5 + 18*m/5 = 0. Calculate m.
-3, -1, 0, 1
Suppose -4*k**5 - 8*k**4 + 32*k**3 + 64*k**2 - 64*k - 128 = 0. What is k?
-2, 2
Factor 3*p**3 + 123*p**2 + 234*p.
3*p*(p + 2)*(p + 39)
Find f, given that 4*f**2 - 32*f + 60 = 0.
3, 5
What is r in -r**3/6 + r**2/3 = 0?
0, 2
Factor 2*k**4/5 + 16*k**3/5 - 38*k**2/5 + 4*k.
2*k*(k - 1)**2*(k + 10)/5
Let -4*v**4/9 + 40*v**3/9 - 28*v**2/3 = 0. What is v?
0, 3, 7
Let -8*y**4 - 386*y**3 - 4936*y**2 - 9418*y - 2052 = 0. Calculate y.
-27, -19, -2, -1/4
Factor -6*r**5 + 181*r**4 - 534*r**3 + 576*r**2 - 244*r + 27.
-(r - 27)*(r - 1)**3*(6*r - 1)
Factor -d**2 - 2462*d - 1515361.
-(d + 1231)**2
Let -2*m**5/15 - 98*m**4/15 - 82*m**3/15 + 674*m**