te h.
-4, -1/7, -1/10, 0
Find q, given that q**5 - 7*q**4 + 16*q**3 - 8*q**2 - 16*q + 16 = 0.
-1, 2
What is h in h**5 - 41*h**4 - 2*h**3 + 82*h**2 + h - 41 = 0?
-1, 1, 41
Let w**2/3 - 5*w/3 - 14/3 = 0. Calculate w.
-2, 7
Solve -16*g**4 + 8*g**3 + 7*g**2 + g = 0 for g.
-1/4, 0, 1
Determine q, given that -6*q**4/5 + 22*q**3/5 + 14*q**2/5 - 22*q/5 - 8/5 = 0.
-1, -1/3, 1, 4
Suppose -4*x**4 - 4*x**3 = 0. What is x?
-1, 0
Suppose 2*q**5 + 40*q**4 + 264*q**3 + 640*q**2 + 512*q = 0. Calculate q.
-8, -2, 0
Find s, given that 2*s**4 + 15*s**3 + 21*s**2 - 32*s - 60 = 0.
-5, -2, 3/2
Let 5*c**3 + 70*c**2 = 0. Calculate c.
-14, 0
Solve p**2/2 - 335*p + 112225/2 = 0 for p.
335
Factor y**5/2 + 185*y**4/2 + 4136*y**3 - 13254*y**2.
y**2*(y - 3)*(y + 94)**2/2
Factor 4*a**2 + 948*a + 944.
4*(a + 1)*(a + 236)
Factor 3*t**2 - 114*t + 111.
3*(t - 37)*(t - 1)
Factor -4*k**4 + 40*k**3 + 224*k**2.
-4*k**2*(k - 14)*(k + 4)
Let -5*x**5/2 + 20*x**4 - 45*x**3/2 - 125*x**2 + 160*x + 240 = 0. Calculate x.
-2, -1, 3, 4
What is l in -l**5/10 - 23*l**4/5 - 144*l**3/5 - 297*l**2/5 - 351*l/10 = 0?
-39, -3, -1, 0
Find w, given that 4*w**3/9 - 284*w**2/9 + 556*w/9 - 92/3 = 0.
1, 69
Factor 16*i**3 + 2348*i**2 - 600*i - 1764.
4*(i - 1)*(i + 147)*(4*i + 3)
Determine r so that -r**4/3 + 175*r**3 - 524*r**2/3 = 0.
0, 1, 524
Let 2*t**2/7 - 170*t/7 + 332/7 = 0. What is t?
2, 83
Find t, given that 4*t**5 - 54*t**4 + 180*t**3 - 146*t**2 - 168*t + 216 = 0.
-1, 3/2, 2, 9
Let -3*g**2 - 18*g + 21 = 0. What is g?
-7, 1
Factor w**3/5 - 78*w**2/5 + 169*w.
w*(w - 65)*(w - 13)/5
Determine o so that 5*o**3 - 185*o**2 + 335*o + 525 = 0.
-1, 3, 35
Factor 2*v**3 + 36*v**2 + 142*v - 180.
2*(v - 1)*(v + 9)*(v + 10)
Let y**2 + 12*y + 11 = 0. Calculate y.
-11, -1
Factor 2*l**5 + 2*l**4 - 2*l**3 - 2*l**2.
2*l**2*(l - 1)*(l + 1)**2
Factor -2*t**3/3 + 2*t**2/3 + 28*t/3 - 16.
-2*(t - 3)*(t - 2)*(t + 4)/3
Factor -2*d**2/7 + 438*d/7 - 1296/7.
-2*(d - 216)*(d - 3)/7
Determine r, given that 2*r**2 + 46*r + 84 = 0.
-21, -2
Find s, given that s**5/2 - 11*s**4/2 - 2*s**3 + 22*s**2 = 0.
-2, 0, 2, 11
Find h such that 73*h**2/3 + 221*h/3 + 2 = 0.
-3, -2/73
Factor -2*u**4/13 - 1480*u**3/13 - 266300*u**2/13 + 2775000*u/13 - 7031250/13.
-2*(u - 5)**2*(u + 375)**2/13
Find x, given that -6*x**5 + 62*x**4 - 92*x**3 - 324*x**2 - 94*x + 70 = 0.
-1, 1/3, 5, 7
Suppose 80*k**5 - 1880*k**4 + 14605*k**3 - 39355*k**2 + 17055*k - 2025 = 0. What is k?
1/4, 5, 9
Factor -u**2/2 - 49*u/2 + 25.
-(u - 1)*(u + 50)/2
Factor 76*m**2/9 - 52*m/3 + 8/9.
4*(m - 2)*(19*m - 1)/9
Determine k, given that 2*k**3/5 + 32*k**2/5 + 82*k/5 + 52/5 = 0.
-13, -2, -1
Factor b**3/2 + 2*b**2 - 51*b/2 - 27.
(b - 6)*(b + 1)*(b + 9)/2
Suppose -2*k**3/9 + 3268*k**2/9 + 13096*k/9 + 1456 = 0. Calculate k.
-2, 1638
Factor 4*u**4/3 - 20*u**3 + 244*u**2/3 - 28*u - 392/3.
4*(u - 7)**2*(u - 2)*(u + 1)/3
Factor -u**5 + 88*u**4 - 2021*u**3 + 3698*u**2.
-u**2*(u - 43)**2*(u - 2)
Let -35*h**4 + 165*h**3 - 230*h**2 + 60*h + 40 = 0. What is h?
-2/7, 1, 2
Factor 2*x**4/5 - 44*x**3/5 + 336*x**2/5 - 1024*x/5 + 1024/5.
2*(x - 8)**2*(x - 4)*(x - 2)/5
Solve -2*w**3/3 - 2836*w**2 - 4021448*w - 5702413264/3 = 0.
-1418
Find g such that -3*g**2/2 - 15*g/2 - 9 = 0.
-3, -2
Factor -3*k**4 - 114*k**3 - 1143*k**2 - 324*k + 14580.
-3*(k - 3)*(k + 5)*(k + 18)**2
Factor 18*u**2/5 + 6178*u/5 + 1372/5.
2*(u + 343)*(9*u + 2)/5
Factor -3*n**3/5 - 393*n**2/5 + 2439*n/5 - 3699/5.
-3*(n - 3)**2*(n + 137)/5
Solve 10*j**5/9 + 8*j**4/9 - 4*j**3/3 - 8*j**2/9 + 2*j/9 = 0 for j.
-1, 0, 1/5, 1
Suppose -2*d**3/11 + 80*d**2/11 - 714*d/11 - 1764/11 = 0. Calculate d.
-2, 21
Determine d so that 4*d**5 - 244*d**4 - 13176*d**3 - 178568*d**2 - 678028*d + 870012 = 0.
-13, 1, 99
What is v in 4*v**3/5 + 148*v**2/5 + 1292*v/5 - 1444/5 = 0?
-19, 1
Factor -h**5 - 3*h**4 + 4*h**2.
-h**2*(h - 1)*(h + 2)**2
Factor 4*n**3/11 + 30*n**2/11 + 62*n/11 + 24/11.
2*(n + 3)*(n + 4)*(2*n + 1)/11
Solve -2*w**5/7 - 22*w**4/7 - 12*w**3 - 128*w**2/7 - 64*w/7 = 0 for w.
-4, -2, -1, 0
Let -l**5/2 + 48*l**4 + 97*l**3/2 = 0. Calculate l.
-1, 0, 97
Suppose -9*f**4/4 + 15*f**3/2 - 21*f**2/4 - 3*f + 3 = 0. What is f?
-2/3, 1, 2
Suppose 2*w**3 + 20*w**2 - 104*w + 112 = 0. Calculate w.
-14, 2
Factor -5324*k**4/3 + 62920*k**3 + 34672*k**2 + 18976*k/3 + 384.
-4*(k - 36)*(11*k + 2)**3/3
Solve 2*m**5/5 - 6*m**4/5 - 58*m**3/5 + 54*m**2/5 + 112*m + 120 = 0 for m.
-3, -2, 5
Determine y, given that 3*y**3 + 198*y**2 + 2592*y + 9600 = 0.
-50, -8
Solve -2*c**5 + 23*c**4/2 - 3*c**3 - 43*c**2/2 - 5*c = 0 for c.
-1, -1/4, 0, 2, 5
Factor i**5/3 - 49*i**4/3 - 208*i**3/3 - 212*i**2/3.
i**2*(i - 53)*(i + 2)**2/3
Suppose 25*g**4/6 + 85*g**3/6 - 35*g**2/3 - 20*g/3 = 0. What is g?
-4, -2/5, 0, 1
Factor 3*k**4 - 1914*k**3 + 307191*k**2 - 608652*k + 303372.
3*(k - 318)**2*(k - 1)**2
Suppose 16*m**2 - 60*m + 36 = 0. Calculate m.
3/4, 3
Factor 2*h**3/13 + 1332*h**2/13.
2*h**2*(h + 666)/13
Determine f so that -2*f**4 + 40*f**3/3 - 24*f**2 + 32*f/3 = 0.
0, 2/3, 2, 4
Find i, given that -2*i**4/15 + 442*i**3/5 + 446*i**2/5 - 6646*i/15 + 1328/5 = 0.
-3, 1, 664
Solve -4*r**4 - 62*r**3 - 174*r**2 - 72*r = 0 for r.
-12, -3, -1/2, 0
Find t, given that -3*t**3 + 2337*t**2 - 2334*t = 0.
0, 1, 778
Let 432*o**4/5 - 22104*o**3/5 + 735*o**2 - 153*o/5 = 0. What is o?
0, 1/12, 51
Suppose 5*x**3 + 1025*x**2 - 1030*x = 0. Calculate x.
-206, 0, 1
Determine u so that 3*u**5/2 + 27*u**4/2 - 132*u**3 - 1698*u**2 - 4896*u - 4224 = 0.
-8, -2, 11
Find h, given that -5*h**5 - 10*h**4 + 160*h**3 - 150*h**2 - 315*h = 0.
-7, -1, 0, 3
Solve -5*t**5 + 2910*t**4 - 564520*t**3 + 36495280*t**2 + 2258160*t - 146027680 = 0 for t.
-2, 2, 194
Factor z**3 + 30*z**2 + 27*z - 58.
(z - 1)*(z + 2)*(z + 29)
Solve c**2/3 + 5*c/3 + 2 = 0.
-3, -2
Determine g, given that 2*g**3/3 + 14*g**2 + 90*g + 162 = 0.
-9, -3
Suppose 2*h**3/7 - 1604*h**2/7 - 3214*h/7 - 1608/7 = 0. What is h?
-1, 804
Factor b**3 - 37*b**2 + 360*b - 324.
(b - 18)**2*(b - 1)
Factor -y**3/2 + 47*y**2/2 - 264*y - 288.
-(y - 24)**2*(y + 1)/2
Determine l, given that 2*l**4/13 - 24*l**3/13 - 70*l**2/13 + 204*l/13 - 112/13 = 0.
-4, 1, 14
Factor -y**3/6 + 31*y**2/6.
-y**2*(y - 31)/6
Determine v, given that -v**4 + 7*v**3 + 180*v**2 + 848*v + 1216 = 0.
-4, 19
Factor -u**4/2 + u**3/2 + 7*u**2 - 12*u.
-u*(u - 3)*(u - 2)*(u + 4)/2
Find b, given that -20*b**2 + 595*b + 150 = 0.
-1/4, 30
Factor -3*q**2 + 168*q.
-3*q*(q - 56)
Factor 2*t**2/3 - 54*t + 316/3.
2*(t - 79)*(t - 2)/3
Determine w so that -2*w**2 - 142*w - 140 = 0.
-70, -1
Factor 9*h**3 - 795*h**2 - 533*h - 89.
(h - 89)*(3*h + 1)**2
Suppose -v**5 - 9*v**4 - 27*v**3 - 31*v**2 - 12*v = 0. Calculate v.
-4, -3, -1, 0
Find m, given that -2*m**5 - 92*m**4 - 1466*m**3 - 8880*m**2 - 12600*m = 0.
-15, -14, -2, 0
Factor y**2/3 + 38*y/3 + 280/3.
(y + 10)*(y + 28)/3
Factor -10*n**3/7 - 12*n**2/7 + 18*n.
-2*n*(n - 3)*(5*n + 21)/7
Factor -32*m**3 + 28*m**2 + 2884*m + 360.
-4*(m - 10)*(m + 9)*(8*m + 1)
Factor 2*h**2 + 214*h + 212.
2*(h + 1)*(h + 106)
Factor k**4/2 - k**3/4 - k**2/4.
k**2*(k - 1)*(2*k + 1)/4
Determine z so that -2*z**3/7 + 38*z**2/7 + 176*z/7 + 184/7 = 0.
-2, 23
Find o, given that 34*o**3/19 - 162*o**2/19 - 40*o/19 = 0.
-4/17, 0, 5
What is s in -2*s**2/15 - 224*s/15 + 46 = 0?
-115, 3
Find n, given that -3*n**2/5 + 22*n/5 + 16/5 = 0.
-2/3, 8
Factor -3*d**3/2 - 107*d**2/6 + 2*d.
-d*(d + 12)*(9*d - 1)/6
Let 3*b**5 + 9*b**4 - 69*b**3 + 99*b**2 - 42*b = 0. Calculate b.
-7, 0, 1, 2
Factor -y**2/2 - 2112*y - 2230272.
-(y + 2112)**2/2
Solve -3*t**3 - 60*t**2 - 51*t + 114 = 0.
-19, -2, 1
Determine h so that 45*h**4 + 32325*h**3 + 43040*h**2 + 14340*h = 0.
-717, -2/3, 0
Factor -3*f**2 + 45*f + 552.
-3*(f - 23)*(f + 8)
Find p, given that -4*p**2/3 + 128*p/3 - 116 = 0.
3, 29
Factor 16*m**3 + 38*m**2 + 28*m + 6.
2*(m + 1)**2*(8*m + 3)
Factor t**3 + 5*t**2 + 6*t.
t*(t + 2)*(t + 3)
Determine o, given that o**4 - 23*o**3 - 195*o**2 - 441*o - 270 = 0.
-3, -1, 30
Let k**2/4 + 5*k/2 + 9/4 = 0. Calculate k.
-9, -1
Factor -g**5/3 - 67*g**4/3 + 500*g**3/3 - 1312*g**2/3 + 1472*g/3 - 592/3.
-(g - 2)**3*(g - 1)*(g + 74)/3
Determine a, given that a**5/4 + 9*a**4/2 - 63*a**3/4 + a**2 + 21*a = 0.
-21, -1, 0, 2
Determine o, given that -2*o**3 - 32*o**2 - 110*o = 0.
-11, -5, 0
Factor -3*h**4/5 - 3348*h**3/5 - 1401138*h**2/5 - 260611