 1/5
Solve 3*t**4 + 36*t**3 - 177*t**2 + 234*t - 96 = 0 for t.
-16, 1, 2
Factor 2*w**3/3 - 10*w**2 + 76*w/3 - 16.
2*(w - 12)*(w - 2)*(w - 1)/3
Factor 4*r**4 - 16*r**3 + 64*r - 64.
4*(r - 2)**3*(r + 2)
Factor -3*z**5/4 - 57*z**4/4 - 345*z**3/4 - 723*z**2/4 - 156*z - 48.
-3*(z + 1)**3*(z + 8)**2/4
Determine t so that 3*t**4/4 + 63*t**3 + 3897*t**2/4 + 912*t = 0.
-64, -19, -1, 0
Determine w so that 5*w**2 - 3990*w + 3985 = 0.
1, 797
Find w, given that -54*w**5 + 1836*w**4 + 1926*w**3 - 1204*w**2 - 1944*w - 560 = 0.
-2/3, 1, 35
Suppose -3*j**5 + 261*j**4 - 5805*j**3 + 5547*j**2 = 0. Calculate j.
0, 1, 43
Let -2*t**3/23 - 616*t**2/23 - 47432*t/23 = 0. Calculate t.
-154, 0
Suppose -20*v**5 + 232*v**4 + 1471*v**3 - 995*v**2 - 218*v + 160 = 0. Calculate v.
-5, -2/5, 1/2, 16
Find i, given that -2775*i**3 + 335*i**2 + 1100*i - 60 = 0.
-3/5, 2/37, 2/3
Determine a, given that -2*a**2/3 - 6*a = 0.
-9, 0
Factor 2*q**4 - 286*q**3 + 1934*q**2 - 4098*q + 2448.
2*(q - 136)*(q - 3)**2*(q - 1)
Let -j**5/7 + 10*j**4/7 + j**3 - 64*j**2/7 - 60*j/7 = 0. What is j?
-2, -1, 0, 3, 10
Factor -b**2/4 + b/2 + 15/4.
-(b - 5)*(b + 3)/4
Factor -3*i**4 - 144*i**3 - 378*i**2 + 1296*i + 3645.
-3*(i - 3)*(i + 3)**2*(i + 45)
Factor -3*s**2 - 321*s + 654.
-3*(s - 2)*(s + 109)
Factor -2*z**3/13 - 712*z**2 - 823784*z.
-2*z*(z + 2314)**2/13
Factor -3*h**4/8 + 21*h**3/8 + 15*h**2/4 - 6*h.
-3*h*(h - 8)*(h - 1)*(h + 2)/8
Determine a so that -22*a**3 - 78*a**2 - 36*a = 0.
-3, -6/11, 0
Factor 12*a**5 - 28*a**4 + 8*a**3 + 24*a**2 - 20*a + 4.
4*(a - 1)**3*(a + 1)*(3*a - 1)
Suppose -k**2 + 438*k - 47961 = 0. Calculate k.
219
What is g in 2*g**3/5 + 8*g**2/5 - 24*g/5 = 0?
-6, 0, 2
Find k, given that -85683*k**5/5 + 516126*k**4/5 - 783327*k**3/5 + 18324*k**2/5 - 108*k/5 = 0.
0, 2/169, 3
Determine w so that 5*w**5 + 75*w**4 + 400*w**3 + 1000*w**2 + 1200*w + 560 = 0.
-7, -2
Factor q**2/2 - 3979*q/2 + 1989.
(q - 3978)*(q - 1)/2
Factor 2*c**3 + 26*c**2 + 60*c.
2*c*(c + 3)*(c + 10)
Factor -q**5 - 41*q**4 - 499*q**3 - 855*q**2 + 10800*q - 13500.
-(q - 2)**2*(q + 15)**3
Factor -12*p**3 + 52*p**2 - 40*p.
-4*p*(p - 1)*(3*p - 10)
Factor -5*w**2 - 7860*w - 15700.
-5*(w + 2)*(w + 1570)
Determine k so that 4*k**5 + 67*k**4 + 19*k**3 - 1197*k**2 + 1377*k - 270 = 0.
-15, -6, 1/4, 1, 3
Determine i, given that i**5 - 453*i**4 - i**3 + 453*i**2 = 0.
-1, 0, 1, 453
Suppose -2*d**3/17 + 4*d**2/17 + 6*d/17 = 0. What is d?
-1, 0, 3
Solve -3*f**4 + 9*f**3 + 6*f**2 - 36*f + 24 = 0.
-2, 1, 2
Factor j**2/6 + 509*j/3 + 259081/6.
(j + 509)**2/6
Suppose -2*g**4/5 + 6*g**3/5 + 6*g**2/5 - 22*g/5 + 12/5 = 0. What is g?
-2, 1, 3
Factor 5*c**3/6 - 1268*c**2 + 964187*c/2 + 579121/3.
(c - 761)**2*(5*c + 2)/6
Find n, given that 5*n**2 - 27800*n + 38642000 = 0.
2780
Factor -249*u**3 - 1002*u**2 - 1020*u - 24.
-3*(u + 2)**2*(83*u + 2)
Factor b**2/3 - 991*b/3 - 992/3.
(b - 992)*(b + 1)/3
What is a in 4*a**3 + 84*a**2 + 152*a = 0?
-19, -2, 0
Factor 3*m**2/4 - 123*m/2 + 5043/4.
3*(m - 41)**2/4
Factor 4*y**2 + 304*y - 1620.
4*(y - 5)*(y + 81)
Determine q so that -q**2 + 10*q = 0.
0, 10
Let -14045*k**4 - 30740*k**3 - 19470*k**2 - 2900*k - 125 = 0. What is k?
-1, -5/53
What is z in -z**4/4 - 429*z**3/4 - 61347*z**2/4 - 2924207*z/4 = 0?
-143, 0
Suppose 4*x**5/13 - 2*x**4/13 - 14*x**3/13 + 14*x**2/13 + 2*x/13 - 4/13 = 0. Calculate x.
-2, -1/2, 1
Factor -3*h**3/4 - 9*h**2/2 + 24.
-3*(h - 2)*(h + 4)**2/4
Let r**5/2 + 3*r**4/2 - 2*r**3 - 6*r**2 = 0. Calculate r.
-3, -2, 0, 2
Determine f so that -4*f**4/5 + 212*f**3/5 - 148*f**2 - 2132*f/5 - 1176/5 = 0.
-1, 6, 49
Factor 2*c**4/3 - 112*c**3/3 + 1676*c**2/3 - 1008*c + 486.
2*(c - 27)**2*(c - 1)**2/3
Factor -2*g**2 + 5600*g - 5598.
-2*(g - 2799)*(g - 1)
What is b in -27*b**3/2 - 3*b**2 + 27*b/2 + 3 = 0?
-1, -2/9, 1
Let 2*z**2/13 + 172*z/13 - 1710/13 = 0. Calculate z.
-95, 9
Factor -y**2 + 183*y - 716.
-(y - 179)*(y - 4)
Determine h, given that h**3 + 9*h**2 + 14*h = 0.
-7, -2, 0
Solve 46*s**4 + 142*s**3 + 12*s**2 - 184*s - 16 = 0 for s.
-2, -2/23, 1
Factor -3*y**2 + 642*y - 639.
-3*(y - 213)*(y - 1)
Solve d**4 - 2*d**3 - 7*d**2 - 4*d = 0 for d.
-1, 0, 4
Suppose n**2/4 + 63*n/2 - 127/4 = 0. What is n?
-127, 1
Factor -2*j**4 - 12*j**3 - 18*j**2 - 8*j.
-2*j*(j + 1)**2*(j + 4)
What is i in 3*i**5 - 18*i**4 - 51*i**3 + 414*i**2 - 708*i + 360 = 0?
-5, 1, 2, 6
Let -z**4/7 + 13*z**2/7 - 12*z/7 = 0. What is z?
-4, 0, 1, 3
Factor y**4 + 5*y**3 + 4*y**2.
y**2*(y + 1)*(y + 4)
Let 2*p**4/19 + 180*p**3/19 + 3866*p**2/19 - 8280*p/19 + 4232/19 = 0. Calculate p.
-46, 1
Factor -n**3/3 - 2*n**2/3 + 7*n - 6.
-(n - 3)*(n - 1)*(n + 6)/3
Solve 3*v**4/2 - 45*v**3/2 - 24*v**2 = 0 for v.
-1, 0, 16
Find q such that -q**3 - 26*q**2 + 117*q - 90 = 0.
-30, 1, 3
Suppose -3*p**3/5 + 23*p**2/5 + 8*p/5 = 0. Calculate p.
-1/3, 0, 8
Determine y, given that -2*y**4/5 - 48*y**3/5 - 132*y**2/5 - 128*y/5 - 42/5 = 0.
-21, -1
Factor 5*k**3 - 15*k**2 - 5*k + 15.
5*(k - 3)*(k - 1)*(k + 1)
Find i, given that -i**4 + 9*i**3 - 14*i**2 - 24*i = 0.
-1, 0, 4, 6
Factor -5*o**3 - 85*o**2 - 155*o - 75.
-5*(o + 1)**2*(o + 15)
Factor -3*n**4/8 + 15*n**3/8 - 3*n**2/4 - 3*n.
-3*n*(n - 4)*(n - 2)*(n + 1)/8
What is f in f**4 + 21*f**3 + 147*f**2 + 343*f = 0?
-7, 0
Factor -3*l**4/5 - 126*l**3/5 - 72*l**2 + 8160*l + 86400.
-3*(l - 18)*(l + 20)**3/5
Factor 5*x**3 - 25*x**2 + 35*x - 15.
5*(x - 3)*(x - 1)**2
Determine h, given that 5*h**2 + 35*h - 40 = 0.
-8, 1
Factor 4*f**2/5 - 96*f - 976/5.
4*(f - 122)*(f + 2)/5
Factor 5*b**4 + 15*b**3 - 10*b**2 - 60*b - 40.
5*(b - 2)*(b + 1)*(b + 2)**2
Determine j so that -242*j**5 - 20196*j**4 - 357144*j**3 + 2646928*j**2 - 5636352*j + 3873024 = 0.
-492/11, 2
Factor 36*r**3 - 321*r**2 + 249*r + 120.
3*(r - 8)*(3*r + 1)*(4*r - 5)
Factor 7*i**3/5 - 393*i**2/5 - 342*i/5.
i*(i - 57)*(7*i + 6)/5
Factor -h**2/6 + 113*h/3 + 1180/3.
-(h - 236)*(h + 10)/6
Let -r**3/4 - r**2/4 + 2*r + 3 = 0. What is r?
-2, 3
Suppose 4*w**4/5 - 5328*w**3/5 - 10668*w**2/5 - 5336*w/5 = 0. Calculate w.
-1, 0, 1334
Find i such that 32*i**3/3 - 400*i**2 - 618*i - 234 = 0.
-3/4, 39
Let z**4/6 + 2*z**3/3 + z**2/3 - 2*z/3 - 1/2 = 0. What is z?
-3, -1, 1
Solve 2*r**2 + 46*r - 216 = 0 for r.
-27, 4
Factor 5*j**5 + 15*j**4 - 20*j**3.
5*j**3*(j - 1)*(j + 4)
Factor -a**4/2 + 7*a**3/2 + 17*a**2/2 + 9*a/2.
-a*(a - 9)*(a + 1)**2/2
Determine b, given that -6*b**5 + 39*b**4 - 84*b**3 + 69*b**2 - 18*b = 0.
0, 1/2, 1, 2, 3
Factor -39*s**4/4 + 33*s**3/4 + 3*s**2/2.
-3*s**2*(s - 1)*(13*s + 2)/4
Determine j so that 8*j**5/7 + 50*j**4/7 + 76*j**3/7 + 34*j**2/7 = 0.
-17/4, -1, 0
Solve 2*k**3 - 4*k**2 = 0 for k.
0, 2
Factor -4*j**2/3 - 56*j/3 + 96.
-4*(j - 4)*(j + 18)/3
Find t such that 4*t**3 - 176*t**2 + 324*t + 504 = 0.
-1, 3, 42
Determine t, given that 2*t**4/9 - 62*t**3/9 + 448*t**2/9 + 512*t/9 = 0.
-1, 0, 16
Factor 4*s**3 - 4*s**2 - 960*s.
4*s*(s - 16)*(s + 15)
Factor -2*u**2/5 + 34*u/5 + 76/5.
-2*(u - 19)*(u + 2)/5
Let n**5/4 + 9*n**4/4 - 13*n**3/4 - 129*n**2/4 - 27*n = 0. Calculate n.
-9, -3, -1, 0, 4
Factor -15*o**4 - 85*o**3 - 140*o**2 - 60*o.
-5*o*(o + 2)*(o + 3)*(3*o + 2)
Factor 2*s**2 - 202*s + 200.
2*(s - 100)*(s - 1)
Factor -o**3/2 + 2637*o**2 - 4635846*o + 2716605756.
-(o - 1758)**3/2
Factor -4*l**4/5 + 8*l**3/5 + 28*l**2/5 + 16*l/5.
-4*l*(l - 4)*(l + 1)**2/5
Suppose 4*o**5/11 - 30*o**4/11 + 68*o**3/11 - 30*o**2/11 - 36*o/11 = 0. What is o?
-1/2, 0, 2, 3
Suppose r**2/5 + 26*r/5 - 192/5 = 0. Calculate r.
-32, 6
Factor -81*c**3/7 - 414*c**2/7 - 100*c - 56.
-(c + 2)*(9*c + 14)**2/7
Factor 2*l**4/15 - 22*l**3/15 + 16*l**2/5.
2*l**2*(l - 8)*(l - 3)/15
Find r such that 3*r**3 - 9279*r**2 + 9566649*r - 3287738373 = 0.
1031
What is l in 4*l**3 - 64*l**2 + 272*l - 320 = 0?
2, 4, 10
Factor 2*c**2/5 - 1188*c/5 + 3546/5.
2*(c - 591)*(c - 3)/5
Determine a, given that 2*a**4/5 - 336*a**3/5 + 2822*a**2 + 336*a/5 - 14112/5 = 0.
-1, 1, 84
Factor 2*g**3 + 8268*g**2 + 11393304*g + 5233324304.
2*(g + 1378)**3
Factor -26*v**3/9 + 50*v**2/9 + 4*v/9.
-2*v*(v - 2)*(13*v + 1)/9
Let -4*i**5 - 4*i**4 + 156*i**3 - 124*i**2 - 280*i = 0. Calculate i.
-7, -1, 0, 2, 5
Solve 2*v**3/9 - 34*v**2/9 + 172*v/9 - 224/9 = 0.
2, 7, 8
Determine q, given that q**3/5 + 7*q**2/5 + 3*q + 9/5 = 0.
-3, -1
Solve 3*x**4/8 - 87*x**3/8 - 51*x**2/4 + 87*x/2 + 45 = 0 for x.
-2, -1, 2, 30
Factor a**2/7 - 44*a/