)
Let c**2/2 + 59*c + 345/2 = 0. What is c?
-115, -3
Solve 3*k**5/4 - 45*k**4/4 + 249*k**3/4 - 615*k**2/4 + 162*k - 60 = 0.
1, 4, 5
Suppose -5*v**2 + 40*v - 35 = 0. What is v?
1, 7
Factor 4*g**4 + 16*g**3 + 20*g**2 + 8*g.
4*g*(g + 1)**2*(g + 2)
Suppose -i**3/5 + 206*i**2/5 - 2277*i + 78408/5 = 0. Calculate i.
8, 99
Factor 4*w**4 + 52*w**3 + 44*w**2 - 52*w - 48.
4*(w - 1)*(w + 1)**2*(w + 12)
Factor 2*v**2/15 - 4*v - 62/15.
2*(v - 31)*(v + 1)/15
Factor -4*f**3 + 64*f**2 + 68*f.
-4*f*(f - 17)*(f + 1)
Factor 3*b**2/8 + 675*b/8.
3*b*(b + 225)/8
Factor -2*w**2/7 + 72*w/7 + 152/7.
-2*(w - 38)*(w + 2)/7
Find d, given that -363*d**5/7 + 2112*d**4/7 - 1719*d**3/7 - 6642*d**2/7 + 5184*d/7 + 7776/7 = 0.
-12/11, 2, 3
Suppose -6*m**5 - 34*m**4 + 112*m**3 + 424*m**2 + 224*m = 0. Calculate m.
-7, -2, -2/3, 0, 4
Solve -2*i**4/5 + 42*i**3/5 = 0.
0, 21
Factor -27*j**2/2 - 149*j - 11/2.
-(j + 11)*(27*j + 1)/2
Factor 30*m**3 + 55*m**2 - 100*m + 15.
5*(m - 1)*(m + 3)*(6*m - 1)
Factor 5*b**4 - 10*b**3 - 20*b**2 + 10*b + 15.
5*(b - 3)*(b - 1)*(b + 1)**2
Factor -2*p**2/11 - 16108*p/11 - 32433458/11.
-2*(p + 4027)**2/11
Factor 6*m**3/7 - 72*m**2/7 - 648*m/7.
6*m*(m - 18)*(m + 6)/7
Solve 3*f**2/7 - 372*f/7 + 369/7 = 0.
1, 123
Let 2*p**4 + 20*p**3 = 0. What is p?
-10, 0
Suppose -2023*f**5 + 612*f**4 + 2188*f**3 - 662*f**2 - 165*f + 50 = 0. What is f?
-1, -2/7, 5/17, 1
Find m, given that -2*m**2 - 10*m + 100 = 0.
-10, 5
Find w such that 98*w**4 + 5432*w**3 - 8714*w**2 + 3640*w - 456 = 0.
-57, 2/7, 1
Factor b**5 + 6*b**4 - 7*b**3.
b**3*(b - 1)*(b + 7)
Factor 35*q**3 - 1040*q**2 + 2535*q + 810.
5*(q - 27)*(q - 3)*(7*q + 2)
Factor -4*r**2 + 872*r - 47524.
-4*(r - 109)**2
Factor 4*b**2/7 - 72*b/7 - 160/7.
4*(b - 20)*(b + 2)/7
Factor -m**3/7 + 536*m**2/7 - 71285*m/7 - 144722/7.
-(m - 269)**2*(m + 2)/7
Solve u**2/7 - 33*u/7 + 32/7 = 0.
1, 32
Find j such that j**4/3 - 13*j**3/3 + 58*j**2/3 - 36*j + 24 = 0.
2, 3, 6
Determine w so that 5*w**5 + 90*w**4 + 475*w**3 + 550*w**2 - 480*w - 640 = 0.
-8, -2, -1, 1
Factor 5*u**3 + 15*u**2 - 245*u + 225.
5*(u - 5)*(u - 1)*(u + 9)
Factor z**2 + 141*z + 140.
(z + 1)*(z + 140)
Factor -2*b**2 - 23088*b - 66631968.
-2*(b + 5772)**2
Factor 2*q**5 - 2*q**4 - 6*q**3 + 10*q**2 - 4*q.
2*q*(q - 1)**3*(q + 2)
Factor -2*d**2 - 76*d - 722.
-2*(d + 19)**2
Let -54*j**4 + 5181*j**3 + 892*j**2/3 - 2692*j/3 + 128 = 0. What is j?
-1/2, 2/9, 96
What is q in 15*q**2/8 + 321*q/8 - 549/4 = 0?
-122/5, 3
Solve 2*u**3/3 + 10*u**2/3 - 26*u/3 + 14/3 = 0 for u.
-7, 1
Determine n, given that -2*n**2 - 2*n + 84 = 0.
-7, 6
Factor 32*t**3/15 - 784*t**2/15 + 386*t/15 - 16/5.
2*(t - 24)*(4*t - 1)**2/15
Find r, given that -6*r**4/17 - 82*r**3/17 + 386*r**2/17 + 802*r/17 + 20 = 0.
-17, -1, -2/3, 5
Let -2*i**3 + 242*i**2/3 - 76*i/3 - 160/3 = 0. What is i?
-2/3, 1, 40
Determine w so that -28*w**4 + 792*w**3 - 980*w**2 + 216*w = 0.
0, 2/7, 1, 27
Find v, given that 2*v**5/3 - 16*v**4 - 6*v**3 + 4672*v**2/3 - 1536*v = 0.
-9, 0, 1, 16
Suppose s**5 + 26*s**4/3 + 15*s**3 - 6*s**2 = 0. What is s?
-6, -3, 0, 1/3
Factor -2*f**2/3 - 158*f + 956/3.
-2*(f - 2)*(f + 239)/3
Find p such that -5*p**5/4 + 25*p**4/4 + 10*p**3 - 15*p**2 = 0.
-2, 0, 1, 6
Find k, given that 3*k**2 + 144*k - 459 = 0.
-51, 3
Factor -2*r**3/13 + 4*r**2/13 + 2*r/13 - 4/13.
-2*(r - 2)*(r - 1)*(r + 1)/13
Factor -4*z**3/3 - 44*z**2/3 + 76*z - 60.
-4*(z - 3)*(z - 1)*(z + 15)/3
Factor -x**3/9 - 503*x**2/9 - 63503*x/9 - 63001/9.
-(x + 1)*(x + 251)**2/9
Suppose -12*a**3 - 356*a**2 - 552*a + 224 = 0. Calculate a.
-28, -2, 1/3
Factor w**2/4 - 87*w/4.
w*(w - 87)/4
Factor -s**3 + 4048*s**2 - 4096576*s.
-s*(s - 2024)**2
Suppose -3*i**5/2 + 3555*i**4/2 - 842535*i**3 + 199680795*i**2 - 47324348415*i/2 + 2243174114871/2 = 0. Calculate i.
237
Factor k**3/4 - 15*k**2/4 - 41*k/2 + 126.
(k - 18)*(k - 4)*(k + 7)/4
Solve 5*u**2/4 + 6455*u/4 + 6445/2 = 0 for u.
-1289, -2
Factor -b**2/10 + 4962*b/5 - 12310722/5.
-(b - 4962)**2/10
Factor -3*u**5/2 + 1050*u**4 - 365391*u**3/2 - 369603*u**2.
-3*u**2*(u - 351)**2*(u + 2)/2
Factor 2*d**4 - 2*d**3 - 52*d**2 - 48*d.
2*d*(d - 6)*(d + 1)*(d + 4)
What is x in -x**5 - 26*x**4 + 156*x**3 + 26*x**2 - 155*x = 0?
-31, -1, 0, 1, 5
Factor 10*h**2/9 - 14*h/9 + 4/9.
2*(h - 1)*(5*h - 2)/9
Solve -15*g**5 + 126*g**4 + 867*g**3 + 414*g**2 - 312*g = 0 for g.
-4, -1, 0, 2/5, 13
Factor -9*b**4 - 93*b**3 - 150*b**2 + 144*b.
-3*b*(b + 3)*(b + 8)*(3*b - 2)
Find p, given that 45*p**3 + 3162*p**2 + 1863*p - 1254 = 0.
-209/3, -1, 2/5
Factor -2*i**4 - 14*i**3 - 24*i**2 + 8*i + 32.
-2*(i - 1)*(i + 2)**2*(i + 4)
Determine a so that -a**3/4 + 13*a**2/2 - 129*a/4 + 45 = 0.
3, 20
Let -2*h**2 + 34*h - 60 = 0. Calculate h.
2, 15
Find a such that a**3/2 - 15*a**2 + 227*a/2 - 99 = 0.
1, 11, 18
Factor -5*n**3 + 10*n**2 + 275*n - 280.
-5*(n - 8)*(n - 1)*(n + 7)
Factor -3*q**3 - 1344*q**2 + 5412*q - 5424.
-3*(q - 2)**2*(q + 452)
Suppose -5*c**3 + 15*c**2 + 245*c + 225 = 0. Calculate c.
-5, -1, 9
Factor 5*g**2 - 10*g - 15.
5*(g - 3)*(g + 1)
Factor -5*s**4 + 1975*s**3 + 1980*s**2.
-5*s**2*(s - 396)*(s + 1)
Factor 7*d**2/4 - 36*d - 79.
(d + 2)*(7*d - 158)/4
Factor -8*o**3 + 100*o**2/3 + 100*o/3.
-4*o*(o - 5)*(6*o + 5)/3
Factor -2*o**3 + 52*o**2 - 202*o - 1768.
-2*(o - 17)*(o - 13)*(o + 4)
Factor i**5/9 + 5*i**4/9 - 2*i**3/3.
i**3*(i - 1)*(i + 6)/9
Factor 6*v**3 - 32*v**2 - 6*v + 32.
2*(v - 1)*(v + 1)*(3*v - 16)
Find t such that -t**4/4 - 13*t**3/4 - 3*t**2 + 64*t + 64 = 0.
-8, -1, 4
Let 2*r**5 + 324*r**4 - 1326*r**3 + 344*r**2 + 1992*r = 0. Calculate r.
-166, -1, 0, 2, 3
Factor -2*h**2/5 + 1568*h/5 - 1566/5.
-2*(h - 783)*(h - 1)/5
Let -t**3/7 - 29*t**2/7 - 55*t/7 - 27/7 = 0. Calculate t.
-27, -1
Suppose 3*p**2 + 96*p - 315 = 0. What is p?
-35, 3
Factor -h**4 + 7*h**2 - 6*h.
-h*(h - 2)*(h - 1)*(h + 3)
Suppose -3*v**2/4 - 147*v/4 - 855/2 = 0. Calculate v.
-30, -19
Factor -3*a**2 + 33*a/2 - 15/2.
-3*(a - 5)*(2*a - 1)/2
Suppose -18*l**5 + 15*l**4 + 129*l**3 - 213*l**2 + 69*l + 18 = 0. Calculate l.
-3, -1/6, 1, 2
Factor -y**3/2 - 3*y**2/2 + 20*y + 42.
-(y - 6)*(y + 2)*(y + 7)/2
Let -3*t**4 + 6*t**3 + 333*t**2 - 336*t - 9408 = 0. What is t?
-7, 8
Factor -10*y**3 + 22*y**2 - 4*y.
-2*y*(y - 2)*(5*y - 1)
Solve 2*z**3/9 - 4*z**2/9 - 74*z/3 - 24 = 0 for z.
-9, -1, 12
Factor -p**3/6 + p**2/6 + 3*p/2 - 3/2.
-(p - 3)*(p - 1)*(p + 3)/6
Find x such that -2*x**2/9 - 1144*x/9 - 163592/9 = 0.
-286
Suppose -g**4/4 - 13*g**3/4 + 45*g**2/4 - 47*g/4 + 4 = 0. Calculate g.
-16, 1
Let 2*y**2/15 + 32*y/15 - 34/15 = 0. Calculate y.
-17, 1
Factor -2*t**3 - 46*t**2 - 84*t.
-2*t*(t + 2)*(t + 21)
Suppose 2*f**5/3 + 22*f**4/3 + 28*f**3/3 - 88*f**2/3 - 48*f = 0. Calculate f.
-9, -2, 0, 2
Factor -2*c**5/7 - 25030*c**4/7 - 125300180*c**3/7 - 313626350540*c**2/7 - 392503377700810*c/7 - 196487190877025486/7.
-2*(c + 2503)**5/7
Let -p**4/2 - 17*p**3/2 = 0. Calculate p.
-17, 0
Factor -2*x**4 - 3600*x**3 - 32292*x**2 - 96768*x - 96714.
-2*(x + 3)**3*(x + 1791)
Solve z**2/5 - 464*z/5 + 1383/5 = 0.
3, 461
Factor 2*u**2 - 248*u + 7688.
2*(u - 62)**2
Factor 4*l**5 + 12*l**4 - 23*l**3 - 30*l**2 - 8*l.
l*(l - 2)*(l + 4)*(2*l + 1)**2
Factor 2*f**5 + 10*f**4 + 16*f**3 + 8*f**2.
2*f**2*(f + 1)*(f + 2)**2
Suppose 6*p**5/5 - 13*p**4/5 - 11*p**3/5 + 31*p**2/5 - 7*p/5 - 6/5 = 0. Calculate p.
-3/2, -1/3, 1, 2
Let 405*a**3/4 + 2520*a**2 + 82025*a/4 + 108375/2 = 0. What is a?
-85/9, -6
Factor -3*o**3 - 171*o**2 + 174*o.
-3*o*(o - 1)*(o + 58)
Find q such that -10*q**2 + 635*q/2 + 80 = 0.
-1/4, 32
Solve g**5 + 27*g**4 + 155*g**3 + 313*g**2 + 264*g + 80 = 0 for g.
-20, -4, -1
Determine h so that 2*h**5/7 - 10*h**4/21 - 4*h**3/21 + 4*h**2/7 - 2*h/21 - 2/21 = 0.
-1, -1/3, 1
Find c such that -14*c**5/15 + 4*c**4 + 18*c**3/5 - 4*c**2/3 = 0.
-1, 0, 2/7, 5
Let -u**3 + 34*u**2 - 31*u - 66 = 0. What is u?
-1, 2, 33
Solve 3*p**5 - 5664*p**4 + 2684712*p**3 - 10670976*p**2 + 10648368*p = 0 for p.
0, 2, 942
Find j, given that -2*j**4/5 - 14*j**3/5 + 8*j**2/5 + 56*j/5 = 0.
-7, -2, 0, 2
Factor f**5/3 - 76*f**4/3 - 77*f**3/3.
f**3*(f - 77)*(f + 1)/3
Solve 2*j**3 + 8*j**2 - 14*j - 20 = 0.
-5, -1, 2
What is j in 4*j**3 + 752*j**2 + 37492*j + 198744 = 0?
-91, -6
Solve 17*c**2/9 + 14*c/9 - 1/3 = 0.
-1, 3/17
Factor 2*p**3/3 - 788*p**2/3 + 77618*p/3.
2*p*(p - 197)**2/3
Factor -2*c**3/13 + 6*c**2/13 + 72*c/13 + 64/1