 5*t**2 + 10*t.
5*t*(t + 2)
Factor 4*k**2/3 + 2864*k + 1537968.
4*(k + 1074)**2/3
Let 2*f**4/9 - 2*f**3/3 - 4*f**2/3 + 16*f/9 = 0. Calculate f.
-2, 0, 1, 4
Factor -2*c**4/7 - 6*c**3/7 + 50*c**2/7 - 6*c.
-2*c*(c - 3)*(c - 1)*(c + 7)/7
Determine q so that -2*q**5/11 - 14*q**4/11 + 516*q**3/11 - 1444*q**2/11 + 1406*q/11 - 42 = 0.
-21, 1, 11
Factor 5*s**5 + 170*s**4.
5*s**4*(s + 34)
Factor 5*k**2 + 125*k - 130.
5*(k - 1)*(k + 26)
Suppose -2*v**4 - 94*v**3/9 + 268*v**2/9 + 1504*v/9 + 320/9 = 0. Calculate v.
-5, -4, -2/9, 4
Factor -3*y**2.
-3*y**2
Factor 357*d**4 - 88*d**3 - 4*d**2.
d**2*(7*d - 2)*(51*d + 2)
Factor 4*t**2/3 + 6136*t + 7059468.
4*(t + 2301)**2/3
Suppose 2*d**5/5 + 2*d**4 - 12*d**3/5 - 64*d**2/5 + 64*d/5 = 0. What is d?
-4, 0, 1, 2
Factor 2*m**2/11 + 68*m/11 - 70/11.
2*(m - 1)*(m + 35)/11
Find v, given that -4*v**2/9 - 608*v/9 - 604/9 = 0.
-151, -1
Factor z**2 + 94*z + 445.
(z + 5)*(z + 89)
Factor -6*v**3 - 160*v**2 - 1002*v + 352.
-2*(v + 11)*(v + 16)*(3*v - 1)
Factor -2*p**4/3 - 170*p**3 + 342*p**2 - 514*p/3.
-2*p*(p - 1)**2*(p + 257)/3
Factor b**3/5 - 17*b**2/5 + 63*b/5 + 81/5.
(b - 9)**2*(b + 1)/5
Factor 3*l**3 + 354*l**2 + 696*l.
3*l*(l + 2)*(l + 116)
Find j, given that -4*j**2 + 844*j = 0.
0, 211
Find m such that -14*m**5 + 78*m**4 - 40*m**3 = 0.
0, 4/7, 5
Solve 2*b**5 - 414*b**4 + 19488*b**3 + 199624*b**2 + 551232*b + 466560 = 0.
-5, -2, 108
Determine w, given that -2*w**4 + 74*w**3 - 646*w**2 - 722*w = 0.
-1, 0, 19
Factor 20*z**2 - 186*z + 54.
2*(z - 9)*(10*z - 3)
Suppose -n**4/3 + 17*n**2 + 98*n/3 + 16 = 0. Calculate n.
-6, -1, 8
Factor -4*b**5 - 124*b**4 - 1192*b**3 - 2552*b**2 + 9196*b - 5324.
-4*(b - 1)**2*(b + 11)**3
Factor -5*x**4 + 205*x**2 - 360*x - 560.
-5*(x - 4)**2*(x + 1)*(x + 7)
Let -4*s**3/9 + 484*s**2/9 - 4960*s/3 + 1600 = 0. Calculate s.
1, 60
Determine s so that 2*s**3 + 86*s**2 + 1102*s + 3610 = 0.
-19, -5
Factor 3*x**5/5 - 3*x**3/5.
3*x**3*(x - 1)*(x + 1)/5
Find r, given that -3*r**3/7 + 18*r**2/7 + 435*r/7 - 450/7 = 0.
-10, 1, 15
Suppose 4*r**5/7 - 4*r**4 + 44*r**3/7 + 4*r**2 - 48*r/7 = 0. Calculate r.
-1, 0, 1, 3, 4
What is z in 20*z**5 + 2120*z**4 + 12225*z**3 + 22645*z**2 + 14530*z + 3000 = 0?
-100, -3, -2, -1/2
Factor u**2/4 - 7*u/2 + 33/4.
(u - 11)*(u - 3)/4
Solve 2*x**3/3 - 14*x**2 + 80*x - 416/3 = 0 for x.
4, 13
Factor x**3/2 + 44*x**2 + 2021*x/2 + 1849.
(x + 2)*(x + 43)**2/2
Determine x, given that 12*x**5 + 556*x**4 + 1196*x**3 - 1612*x**2 - 1208*x + 1056 = 0.
-44, -3, -1, 2/3, 1
Factor 4*k**3/9 - 208*k**2/9 + 572*k/9 + 784/9.
4*(k - 49)*(k - 4)*(k + 1)/9
Factor 5*v**3 + 85*v**2 + 315*v - 405.
5*(v - 1)*(v + 9)**2
Suppose -3*j**5 - 3*j**4 + 48*j**3 + 48*j**2 = 0. Calculate j.
-4, -1, 0, 4
Suppose -2*b**2/15 + 358*b + 5372/15 = 0. Calculate b.
-1, 2686
Suppose -w**4/7 - 100*w**3/7 - 2692*w**2/7 - 9600*w/7 - 9216/7 = 0. Calculate w.
-48, -2
Solve -5*r**4 + 75*r**3 + 175*r**2 - 75*r - 170 = 0 for r.
-2, -1, 1, 17
Let 3*w**3 + 576*w**2 + 6588*w + 19440 = 0. Calculate w.
-180, -6
Determine j, given that -j**4/7 + 4*j**3/7 + 3*j**2/7 - 2*j + 8/7 = 0.
-2, 1, 4
Factor -3*h**2/8 + 9*h/8 + 27/4.
-3*(h - 6)*(h + 3)/8
Determine g, given that -2*g**4/5 - 68*g**3/5 - 66*g**2/5 = 0.
-33, -1, 0
Let -2*b**3/11 + 3848*b**2/11 - 1854730*b/11 + 3694084/11 = 0. Calculate b.
2, 961
Factor 4*t**3/3 - 88*t**2/3 - 212*t - 336.
4*(t - 28)*(t + 3)**2/3
Let -2*v**5 - 30*v**4 - 60*v**3 + 380*v**2 - 450*v + 162 = 0. What is v?
-9, 1
Factor 4*y**3 - 208*y**2 - 16*y + 832.
4*(y - 52)*(y - 2)*(y + 2)
Let -3*q**2 + 7251*q + 7254 = 0. What is q?
-1, 2418
Find p such that -2*p**3/11 + 16*p**2/11 - 30*p/11 = 0.
0, 3, 5
Suppose -10*g**5/19 + 136*g**4/19 + 206*g**3/19 + 60*g**2/19 = 0. Calculate g.
-1, -2/5, 0, 15
Factor 9*n**3/5 - n**2/5 - 36*n/5 + 4/5.
(n - 2)*(n + 2)*(9*n - 1)/5
Determine r, given that 39*r**5 - 339*r**4 + 828*r**3 - 336*r**2 - 192*r = 0.
-4/13, 0, 1, 4
Factor -5*m**3 - 15*m**2 - 10*m.
-5*m*(m + 1)*(m + 2)
Factor 30*d**4 - 189*d**3 + 324*d**2 - 81*d.
3*d*(d - 3)**2*(10*d - 3)
Factor -g**2/11 + 1098*g/11 - 301401/11.
-(g - 549)**2/11
Determine b so that -15*b**5 + 125*b**4 - 265*b**3 - 45*b**2 + 280*b - 80 = 0.
-1, 1/3, 1, 4
Factor 2*z**3/9 + 2*z**2/9.
2*z**2*(z + 1)/9
Determine f, given that -f**4/3 + 16*f**3/3 - 5*f**2 = 0.
0, 1, 15
Solve 1715*d**5 - 24500*d**4 - 665560*d**3 + 194080*d**2 + 54320*d - 15680 = 0 for d.
-14, -2/7, 2/7, 28
Let -2*g**4/9 - 22*g**3/9 + 8*g**2/3 = 0. Calculate g.
-12, 0, 1
Determine f so that 3*f**3 - 402*f**2 + 4425*f - 4026 = 0.
1, 11, 122
Factor -9*t**4 - 21*t**3 - 15*t**2 - 3*t.
-3*t*(t + 1)**2*(3*t + 1)
What is b in -3*b**5 + 114*b**4 + 363*b**3 + 246*b**2 = 0?
-2, -1, 0, 41
Determine b so that 4*b**4/5 + 76*b**3/5 - 452*b**2/5 + 132*b - 288/5 = 0.
-24, 1, 3
Factor -3*p**5 - 197*p**4/3 + 22*p**3/3.
-p**3*(p + 22)*(9*p - 1)/3
Find u such that 25*u**3/3 + 265*u**2/3 + 490*u/3 - 80 = 0.
-8, -3, 2/5
Solve -2*h**5/5 - 15*h**4 - 172*h**3/5 + 113*h**2/5 + 276*h/5 - 28 = 0 for h.
-35, -2, 1/2, 1
Factor -3*h**3 + 714*h**2 - 43188*h + 83544.
-3*(h - 118)**2*(h - 2)
Find g such that -15*g**5/2 - 40*g**4 - 60*g**3 - 15*g**2 + 55*g/2 + 15 = 0.
-3, -1, 2/3
Find d, given that 4*d**2 + 144*d + 140 = 0.
-35, -1
Solve 2*s**3/19 - 36*s**2/19 - 218*s/19 - 276/19 = 0.
-3, -2, 23
What is i in 4*i**2/3 + 1715*i/3 - 143 = 0?
-429, 1/4
Suppose -2*i**5/3 + 10*i**4 - 60*i**3 + 180*i**2 - 270*i + 162 = 0. What is i?
3
Factor -4*g**2 - 5148*g - 10280.
-4*(g + 2)*(g + 1285)
Suppose 3*u**4 - 477*u**3 - 480*u**2 = 0. Calculate u.
-1, 0, 160
Let 5*i**5 - 255*i**4 + 475*i**3 + 755*i**2 - 960*i - 980 = 0. Calculate i.
-1, 2, 49
Factor -n**4/5 + n**3 + 33*n**2/5 - 77*n/5 + 8.
-(n - 8)*(n - 1)**2*(n + 5)/5
Factor -4*w**2 + 6644*w.
-4*w*(w - 1661)
Factor -g**4/5 - 266*g**3/5 - 2071*g**2/5 - 1806*g/5.
-g*(g + 1)*(g + 7)*(g + 258)/5
Factor 2*z**2/11 - 384*z/11 + 18432/11.
2*(z - 96)**2/11
Determine s so that -3*s**2/2 + 276*s - 546 = 0.
2, 182
Determine m, given that -2*m**5/7 + 8*m**4/7 - 4*m**3/7 - 8*m**2/7 + 6*m/7 = 0.
-1, 0, 1, 3
Factor -21*d**3/2 - 255*d**2/2 + 573*d/2 - 297/2.
-3*(d - 1)**2*(7*d + 99)/2
Factor c**4 + 3*c**3 - 22*c**2 - 24*c.
c*(c - 4)*(c + 1)*(c + 6)
What is i in 14*i**5/17 - 10*i**4/17 - 46*i**3/17 + 2*i**2/17 + 32*i/17 + 8/17 = 0?
-1, -2/7, 1, 2
What is b in -b**4/4 - 7*b**3/2 - 65*b**2/4 - 31*b - 21 = 0?
-7, -3, -2
Factor 5*a**5 - 30*a**4 + 40*a**3 + 30*a**2 - 45*a.
5*a*(a - 3)**2*(a - 1)*(a + 1)
Find r, given that 2*r**2/7 + 2*r/7 - 12/7 = 0.
-3, 2
Determine f, given that f**2/2 - 11*f/2 + 15 = 0.
5, 6
Factor 5*n**5 - 80*n**4 + 390*n**3 - 560*n**2 + 245*n.
5*n*(n - 7)**2*(n - 1)**2
Suppose 2*n**2/9 - 76*n + 6498 = 0. Calculate n.
171
Determine a so that 28*a**4 - 20*a**3 - 288*a**2 - 304*a - 64 = 0.
-2, -1, -2/7, 4
Factor -20*k**4/3 - 1036*k**3/3 - 272*k**2.
-4*k**2*(k + 51)*(5*k + 4)/3
Solve -s**4 + 26*s**3 - 49*s**2 + 24*s = 0.
0, 1, 24
Factor -4*w**2/9 + 6*w - 26/9.
-2*(w - 13)*(2*w - 1)/9
Factor -3*j**3 - 783*j**2 + 786*j.
-3*j*(j - 1)*(j + 262)
Factor 3*k**2/2 - 15*k + 24.
3*(k - 8)*(k - 2)/2
Factor 3*u**3 - 66*u**2 + 363*u.
3*u*(u - 11)**2
Factor g**2/6 + 7*g/2 - 11/3.
(g - 1)*(g + 22)/6
Determine j, given that j**3/2 - 26*j**2 = 0.
0, 52
Find j, given that 3*j**2 - 23340*j + 45396300 = 0.
3890
Factor -t**3/7 + 184*t**2/7 - 365*t/7 + 26.
-(t - 182)*(t - 1)**2/7
Factor -4*y**2/3 + 592*y/3 - 21904/3.
-4*(y - 74)**2/3
Factor -5*r**4 - 5*r**3.
-5*r**3*(r + 1)
Factor -6*k**3/7 + 746*k**2/7 + 500*k/7.
-2*k*(k - 125)*(3*k + 2)/7
Factor -2*s**3/3 - 50*s**2/3 - 58*s - 42.
-2*(s + 1)*(s + 3)*(s + 21)/3
Factor -y**3/4 - 112*y**2 + 908*y - 1824.
-(y - 4)**2*(y + 456)/4
Factor -3*u**3/2 - 9*u**2/2 + 108*u - 264.
-3*(u - 4)**2*(u + 11)/2
Factor 3*t**5 - 18*t**4 - 93*t**3 + 108*t**2.
3*t**2*(t - 9)*(t - 1)*(t + 4)
Factor r**2/3 + 23*r/3 + 42.
(r + 9)*(r + 14)/3
Let 2*y**3/15 - 5266*y**2/15 + 230914*y + 1156326/5 = 0. Calculate y.
-1, 1317
Factor -3*k**2 - 165*k - 162.
-3*(k + 1)*(k + 54)
Solve -2*z**2/15 + 356*z/5 - 47526/5 = 0.
267
Determine n, given that 3*n**4 + 30*n**3 - 360*n**2 - 30*n + 357 = 0.
-17, -1, 1, 7
Find z, given that 2*z**2/9 + 232*z/9 + 226/3 = 0.
-113, -3
Solve -x**3 + 4*x**2 - 3*x = 0 for x.
0, 1, 3
Find y such that -10*y**4/11 + 76*y**3/11 + 192*y**2/11 = 0.
-2, 0, 48/5
Determine 