iven that -35*v**4 - 220*v**3 - 495*v**2 - 470*v - 160 = 0.
-16/7, -2, -1
Find z such that 2*z**4 + 26*z**3 + 28*z**2 - 296*z + 240 = 0.
-10, -6, 1, 2
Solve -2*c**5/5 - 2*c**4 + 34*c**3/5 + 34*c**2/5 - 64*c/5 - 56/5 = 0 for c.
-7, -1, 2
Factor 2*s**4 - 304*s**3 + 11244*s**2 + 23408*s + 11858.
2*(s - 77)**2*(s + 1)**2
Factor 3*n**5/8 + 63*n**4/2 + 3393*n**3/4 + 12615*n**2/2 - 219501*n/8.
3*n*(n - 3)*(n + 29)**3/8
Determine b so that -4*b**4 + 108*b**3 - 440*b**2 = 0.
0, 5, 22
Factor -4*x**3 + 92*x**2 - 168*x.
-4*x*(x - 21)*(x - 2)
Solve -4*u**3 + 26*u**2 + 20*u - 42 = 0 for u.
-3/2, 1, 7
Factor u**2 + 1618*u + 654481.
(u + 809)**2
Factor 2*c**3/9 - 4*c**2 + 24*c - 48.
2*(c - 6)**3/9
Factor 3*c**2/2 + 8*c/3 - 2/3.
(c + 2)*(9*c - 2)/6
Find r such that r**4 + 209*r**3 + 1027*r**2 + 1431*r + 612 = 0.
-204, -3, -1
Find t, given that -18*t**2 - 168*t + 58 = 0.
-29/3, 1/3
Let -2*x**2 + 2312*x - 668168 = 0. Calculate x.
578
Factor -3*q**2 - 9924*q - 8207148.
-3*(q + 1654)**2
Factor -3*s**5 + 369*s**4 + 747*s**3 + 375*s**2.
-3*s**2*(s - 125)*(s + 1)**2
Factor -d**3 - 36*d**2 - 69*d - 34.
-(d + 1)**2*(d + 34)
What is k in -k**5/6 - k**4 - k**3/2 + 5*k**2/3 = 0?
-5, -2, 0, 1
Factor k**5 - 3*k**4 - 13*k**3 + 11*k**2 + 24*k - 20.
(k - 5)*(k - 1)**2*(k + 2)**2
Suppose 2*k**2 - 28*k - 30 = 0. What is k?
-1, 15
What is j in 950*j**3 + 5560*j**2 + 3992*j + 768 = 0?
-96/19, -2/5
Let -h**3/2 - 679*h**2/6 - 38533*h/6 - 12769/6 = 0. What is h?
-113, -1/3
Solve 115*o**5 - 2060*o**4 - 4665*o**3 - 2690*o**2 - 200*o = 0 for o.
-1, -2/23, 0, 20
Solve 2*u**3 + 56*u**2 + 370*u + 532 = 0 for u.
-19, -7, -2
Let u**3/3 - 2689*u**2/3 - 2690*u/3 = 0. What is u?
-1, 0, 2690
Suppose 9*r**4/2 - 312*r**3 + 5612*r**2 - 7072*r + 2312 = 0. Calculate r.
2/3, 34
Factor 231*o**2 + 87*o + 6.
3*(7*o + 2)*(11*o + 1)
Suppose -9*y**5 + 276*y**4 - 1161*y**3 + 1842*y**2 - 1260*y + 312 = 0. What is y?
2/3, 1, 2, 26
What is t in -12*t**5 - 57*t**4 - 93*t**3 - 57*t**2 - 3*t + 6 = 0?
-2, -1, 1/4
Factor 2*p**3 - 116*p**2 + 952*p + 23120.
2*(p - 34)**2*(p + 10)
What is d in -7*d**5/2 - 47*d**4/2 + 98*d**3 + 226*d**2 - 72*d = 0?
-9, -2, 0, 2/7, 4
Find m such that -5*m**2 - 55*m - 50 = 0.
-10, -1
Factor 3*d**5 + 22*d**4 + 19*d**3.
d**3*(d + 1)*(3*d + 19)
Solve 242*q**4/7 - 1782*q**3/7 + 2076*q**2/7 - 584*q/7 + 48/7 = 0.
2/11, 1, 6
Solve -454*k**4/11 + 450*k**3/11 + 4*k**2/11 = 0 for k.
-2/227, 0, 1
Factor 3*w**2 - 54*w - 729.
3*(w - 27)*(w + 9)
Find k, given that k**3/4 - 121*k**2 + 14641*k = 0.
0, 242
Factor 15*z**3 - 1430*z**2 + 1885*z - 470.
5*(z - 94)*(z - 1)*(3*z - 1)
Determine d so that -2*d**4 - 4*d**3 + 24*d**2 - 28*d + 10 = 0.
-5, 1
Find l, given that 52*l**4 + 6*l**3 = 0.
-3/26, 0
Let 28*o**4 - 92*o**3 + 108*o**2 - 52*o + 8 = 0. Calculate o.
2/7, 1
Factor d**3 - 6*d**2 - 7*d.
d*(d - 7)*(d + 1)
Find n such that -6*n**5/13 + 220*n**4/13 + 2124*n**3/13 + 432*n**2 + 2538*n/13 - 4860/13 = 0.
-3, 2/3, 45
Factor 5*j**3 - 75*j**2 - 165*j - 85.
5*(j - 17)*(j + 1)**2
Factor -4*v**3 - 136*v**2 - 780*v - 648.
-4*(v + 1)*(v + 6)*(v + 27)
Solve -5*s**2 + 67750*s - 229503125 = 0 for s.
6775
Factor 3*a**4 + 42*a**3 + 144*a**2 - 42*a - 147.
3*(a - 1)*(a + 1)*(a + 7)**2
Find b such that -5*b**3 - 225*b**2 - 435*b - 215 = 0.
-43, -1
Find i, given that -3*i**3 - 489*i**2 = 0.
-163, 0
Let -3*h**2/4 - 9*h - 24 = 0. Calculate h.
-8, -4
Factor k**3 + 2*k**2 - 33*k - 90.
(k - 6)*(k + 3)*(k + 5)
Factor -33*b**2/4 - 657*b/2 + 60.
-3*(b + 40)*(11*b - 2)/4
Factor -32*n**2 - 2352*n - 43218.
-2*(4*n + 147)**2
Determine a so that a**3/2 + 3*a**2/2 - 23*a + 36 = 0.
-9, 2, 4
Determine w, given that w**2 - 932*w + 931 = 0.
1, 931
Factor a**3/9 - 17*a**2/9 - 2*a.
a*(a - 18)*(a + 1)/9
Suppose -g**5 + g**3 = 0. What is g?
-1, 0, 1
Factor 2*c**4/21 + 8*c**3/21 + 10*c**2/21 + 4*c/21.
2*c*(c + 1)**2*(c + 2)/21
Factor -2*n**2 - 152*n/7 - 138/7.
-2*(n + 1)*(7*n + 69)/7
Factor 3*a**3/7 - 4371*a**2/7 + 1585560*a/7 + 4796100/7.
3*(a - 730)**2*(a + 3)/7
Factor 5*a**4 - 150*a**3 + 1265*a**2 - 2100*a + 980.
5*(a - 14)**2*(a - 1)**2
Factor -d**3/5 - 67*d**2/5 + d/5 + 67/5.
-(d - 1)*(d + 1)*(d + 67)/5
Factor -h**4/5 - 4*h**3 - 126*h**2/5 - 196*h/5 + 343/5.
-(h - 1)*(h + 7)**3/5
Factor h**4/2 - 5*h**3/2 - 21*h**2/2 + 85*h/2 + 50.
(h - 5)**2*(h + 1)*(h + 4)/2
Factor m**3/4 - 195*m**2/2 + 12675*m - 549250.
(m - 130)**3/4
Factor 21*z**2 + 681*z + 930.
3*(z + 31)*(7*z + 10)
Factor 2*n**3/15 + 8*n**2/3 + 34*n/15 - 76/15.
2*(n - 1)*(n + 2)*(n + 19)/15
Find q, given that q**5 + 66*q**4 + 789*q**3 - 10064*q**2 + 16428*q = 0.
-37, 0, 2, 6
Let 5*q**3 + 65*q**2 + 115*q + 55 = 0. What is q?
-11, -1
Determine x so that 2*x**3/3 - 2*x**2/3 - 2*x/3 + 2/3 = 0.
-1, 1
Factor -5*s**4 + 55*s**3 + 590*s**2 + 800*s - 1440.
-5*(s - 18)*(s - 1)*(s + 4)**2
Factor -2*l**3/9 + 2*l**2/3 + 4*l/3 - 16/9.
-2*(l - 4)*(l - 1)*(l + 2)/9
Factor 2*r**2 + 202*r - 1060.
2*(r - 5)*(r + 106)
Determine u, given that 4*u**2 - 120*u + 900 = 0.
15
Factor -5*u**3 + 50*u**2 - 95*u - 150.
-5*(u - 6)*(u - 5)*(u + 1)
Find n, given that 2*n**5/9 - 8*n**4/9 - 38*n**3/9 - 28*n**2/9 = 0.
-2, -1, 0, 7
Factor a**4/7 - a**3 - a**2/7 + a.
a*(a - 7)*(a - 1)*(a + 1)/7
Suppose 5*c**2 - 1950*c + 190125 = 0. Calculate c.
195
Factor -4*u**2 + 524*u + 1064.
-4*(u - 133)*(u + 2)
Let 14*f**5/9 - 32*f**4/9 - 34*f**3/9 + 124*f**2/9 - 88*f/9 + 16/9 = 0. What is f?
-2, 2/7, 1, 2
Factor 54*g**4/7 + 144*g**3/7 + 120*g**2/7 + 32*g/7.
2*g*(3*g + 2)**2*(3*g + 4)/7
Find a, given that 33*a**3/5 - 69*a**2/5 + 39*a/5 - 3/5 = 0.
1/11, 1
Suppose -2*f**3 - 726*f**2 + 8928*f - 27000 = 0. Calculate f.
-375, 6
Determine r, given that -r**3/3 + 5*r**2 - 23*r/3 - 13 = 0.
-1, 3, 13
Find h such that -4*h**2 - 31816*h - 63266116 = 0.
-3977
Solve -2*u**5 - 4*u**4 + 14*u**3 + 40*u**2 + 24*u = 0.
-2, -1, 0, 3
Determine u so that -3*u**3 - 48*u**2 + 105*u - 54 = 0.
-18, 1
What is n in n**2 - 67*n + 990 = 0?
22, 45
Factor -3*x**4/5 - 2031*x**3/5 - 91935*x**2 - 7016625*x - 13668750.
-3*(x + 2)*(x + 225)**3/5
Suppose j**3/8 + 3*j**2 - 81*j/8 = 0. Calculate j.
-27, 0, 3
Factor l**2/3 + 72*l + 3888.
(l + 108)**2/3
Determine x so that -4*x**4 - 20*x**3 - 32*x**2 - 16*x = 0.
-2, -1, 0
Factor -2*w**3 + 2*w**2 + 10*w + 6.
-2*(w - 3)*(w + 1)**2
Factor -3*g**4 - 39*g**3 - 90*g**2 + 12*g + 120.
-3*(g - 1)*(g + 2)**2*(g + 10)
Factor -2*a**2/7 + 24*a/7 - 22/7.
-2*(a - 11)*(a - 1)/7
What is k in -k**2/2 = 0?
0
What is j in -124*j**4 + 504*j**3 - 528*j**2 + 32*j = 0?
0, 2/31, 2
Let -2*y**2/5 - 25576*y/5 - 81766472/5 = 0. What is y?
-6394
Suppose -4*h**4 - 36*h**3 + 68*h**2 + 756*h - 784 = 0. Calculate h.
-7, 1, 4
Suppose -8*t**2/9 + 182*t/3 - 136/9 = 0. Calculate t.
1/4, 68
Let 3*u**5 - 18*u**4 - 3*u**3 + 114*u**2 - 96 = 0. What is u?
-2, -1, 1, 4
Factor 5*m**4 - 175*m**3 + 1605*m**2 - 1105*m - 2890.
5*(m - 17)**2*(m - 2)*(m + 1)
Factor 24*z**4 + 1269*z**3 - 1455*z**2 + 162*z.
3*z*(z - 1)*(z + 54)*(8*z - 1)
Factor 2*h**3 + 1182*h**2 + 232854*h + 15290746.
2*(h + 197)**3
Find i, given that 9*i**4/2 + 205*i**3/2 + 319*i**2 - 1210*i + 252 = 0.
-18, -7, 2/9, 2
Factor -q**3 - 27*q**2 - 72*q.
-q*(q + 3)*(q + 24)
Factor -4*u**2 - 2072*u - 268324.
-4*(u + 259)**2
Factor -7*h**2/2 + 3249*h - 928.
-(h - 928)*(7*h - 2)/2
Factor -2*d**2/5 - 126*d/5 - 212.
-2*(d + 10)*(d + 53)/5
Find h such that -h**3 + 84*h**2 - 1920*h + 6400 = 0.
4, 40
Factor 2*u**2/11 - 86*u/11 + 444/11.
2*(u - 37)*(u - 6)/11
Solve -3*h**2 + 33*h - 54 = 0 for h.
2, 9
Factor 3*a**2 - 150*a - 1008.
3*(a - 56)*(a + 6)
Suppose -2*f**5/5 - 2*f**4/3 + 104*f**3/15 + 56*f**2/5 - 128*f/15 - 128/15 = 0. What is f?
-4, -2, -2/3, 1, 4
Factor 3*v**2/4 + 9*v/2 + 27/4.
3*(v + 3)**2/4
Factor -l**2 - 33*l + 34.
-(l - 1)*(l + 34)
Factor -2*c**3 - 6*c**2 + 18*c - 10.
-2*(c - 1)**2*(c + 5)
Factor 4*g**2/3 - 19*g/6 + 1.
(g - 2)*(8*g - 3)/6
Solve -4*x**3 + 3948*x**2 - 1298892*x + 142445156 = 0 for x.
329
Factor 3*l**2/4 + 15*l/4 - 99/2.
3*(l - 6)*(l + 11)/4
Find g, given that g**5 - 20*g**4 + 150*g**3 - 540*g**2 + 945*g - 648 = 0.
3, 8
Find y such that -y**4/6 - 11*y**3/6 - 3*y**2/2 + 11*y/6 + 5/3 = 0.
-10, -1, 1
Determine t, given that -26*t**5/19 + 108*t**4/19 + 10*t**3/19 - 108*t**2/19 + 16*t/19 = 0.
-1, 0, 2/13, 1, 4
Find t such that 3*t**2/5 - 12*t/5 + 12/5 = 0.
2
Factor -3*g**3 + 168*g**2 + 171*g.
-3*g*(