349*u**3 - 175*u**2.
u**2*(u - 175)*(u + 1)**2
Suppose -3*b**2 - 21*b + 24 = 0. Calculate b.
-8, 1
Suppose -3*a**3/5 + 3*a/5 = 0. What is a?
-1, 0, 1
Find c such that -2*c**4/7 + 34*c**3/7 + 358*c**2/7 + 1014*c/7 + 900/7 = 0.
-3, -2, 25
Suppose x**3/2 - 3*x**2/2 - 12*x - 14 = 0. What is x?
-2, 7
Determine y, given that 6*y**2 + 2*y = 0.
-1/3, 0
Find b, given that -5*b**2 - 2560*b + 2565 = 0.
-513, 1
Determine m, given that 5*m**3 + 640*m**2 - 5*m - 640 = 0.
-128, -1, 1
Let -4*p**2 + 3836*p = 0. What is p?
0, 959
Factor 28*y**2 - 11192*y - 3200.
4*(y - 400)*(7*y + 2)
Solve -4*q**2 - 16*q + 48 = 0 for q.
-6, 2
Solve -2*z**3/13 + 918*z**2/13 - 105798*z/13 + 104882/13 = 0 for z.
1, 229
Determine r, given that -2*r**4 + 44*r**3 - 264*r**2 - 108*r + 3402 = 0.
-3, 7, 9
Find w such that 3*w**5 + 48*w**4 + 252*w**3 + 432*w**2 = 0.
-6, -4, 0
Factor 3*b**2/4 - 27*b/4.
3*b*(b - 9)/4
Let 29*g**3/3 + 97*g**2/2 - 343*g/6 - 1 = 0. What is g?
-6, -1/58, 1
Factor -b**4 + 4*b**3 - 3*b**2.
-b**2*(b - 3)*(b - 1)
Factor -5*y**2 - 110*y.
-5*y*(y + 22)
Let 6*a**5 + 33*a**4 - 69*a**3 - 33*a**2 + 63*a = 0. What is a?
-7, -1, 0, 1, 3/2
Factor -a**2/7 + 59*a/7 + 122/7.
-(a - 61)*(a + 2)/7
Suppose -4*u**2 - 3008*u - 565504 = 0. Calculate u.
-376
Factor 3*j**3/7 - 342*j**2/7 + 1005*j/7 - 666/7.
3*(j - 111)*(j - 2)*(j - 1)/7
Determine u, given that 3*u**2 - 258*u - 1080 = 0.
-4, 90
Find z such that -9*z**2/5 - 263*z/5 - 58/5 = 0.
-29, -2/9
Determine t, given that -4*t**4/3 - 8*t**3 + 12*t**2 + 56*t/3 = 0.
-7, -1, 0, 2
What is q in -3*q**3/2 + 227*q**2/2 - 1554*q + 986 = 0?
2/3, 17, 58
Factor -45*l**3 - 550*l**2 - 965*l - 460.
-5*(l + 1)**2*(9*l + 92)
Factor 5*w**5 - 45*w**3 + 20*w**2 + 60*w.
5*w*(w - 2)**2*(w + 1)*(w + 3)
Factor -v**4/8 - 27*v**3/8 - 115*v**2/4 - 177*v/2 - 63.
-(v + 1)*(v + 6)**2*(v + 14)/8
Factor 4*c**3 + 68*c**2 + 64*c.
4*c*(c + 1)*(c + 16)
Solve -5*g**5 + 15*g**4 + 5*g**3 - 35*g**2 + 20 = 0 for g.
-1, 1, 2
Find m, given that -5*m**2 + 110*m + 675 = 0.
-5, 27
Factor -o**3/4 + 129*o**2/4 - 1056*o + 1024.
-(o - 64)**2*(o - 1)/4
Find w such that -2*w**2/9 - 160*w/9 - 142 = 0.
-71, -9
Suppose -m**5/4 - 17*m**4/4 - 11*m**3/2 + 30*m**2 = 0. Calculate m.
-15, -4, 0, 2
Determine b, given that -3*b**5 - 45*b**4 - 189*b**3 - 147*b**2 = 0.
-7, -1, 0
Solve 25*j**5 - 20*j**4 - 236*j**3 + 96*j**2 + 576*j = 0 for j.
-2, 0, 12/5
Let -5*f**4/4 + 31*f**3/2 - 31*f**2 + 10*f = 0. Calculate f.
0, 2/5, 2, 10
What is v in -147*v**5 - 6237*v**4 + 16683*v**3 - 14607*v**2 + 4848*v - 540 = 0?
-45, 2/7, 1
Factor -2*v**2/7 + 6*v.
-2*v*(v - 21)/7
Factor 2*r**4/7 - 4*r**3/7.
2*r**3*(r - 2)/7
Suppose 120*o**3 + 290*o**2 + 105*o + 10 = 0. Calculate o.
-2, -1/4, -1/6
Determine l, given that 2*l**3 - 16*l**2 + 42*l - 36 = 0.
2, 3
What is y in -36*y**5 + 312*y**4 - 1072*y**3 + 1824*y**2 - 1536*y + 512 = 0?
4/3, 2
Solve -16*n**5 + 48*n**4 - 36*n**3 + 8*n**2 = 0 for n.
0, 1/2, 2
Factor 2*l**3/5 - 34*l**2/5 + 38*l - 70.
2*(l - 7)*(l - 5)**2/5
Determine y, given that y**5/4 - 295*y**4/4 + 21607*y**3/4 + 22199*y**2/4 - 5402*y - 5476 = 0.
-1, 1, 148
Factor s**3/4 - 25*s**2/4 + 83*s/2 - 60.
(s - 15)*(s - 8)*(s - 2)/4
Suppose z**3/7 - 381*z**2/7 + 48387*z/7 - 2048383/7 = 0. Calculate z.
127
Factor -2*p**2 + 12*p - 16.
-2*(p - 4)*(p - 2)
Factor 81*w**5 + 405*w**4 + 594*w**3 - 24*w**2 - 672*w - 384.
3*(w - 1)*(w + 2)*(3*w + 4)**3
Suppose y**3/9 - 3*y**2 = 0. What is y?
0, 27
Suppose y**3 - 169*y**2 - 4081*y - 23111 = 0. What is y?
-11, 191
Factor 27*y**4/5 + 1023*y**3/5 - 234*y**2.
3*y**2*(y + 39)*(9*y - 10)/5
Determine k so that 3*k**3 - 54*k**2 - 57*k = 0.
-1, 0, 19
Factor -2*y**2 + 318*y - 936.
-2*(y - 156)*(y - 3)
Determine g, given that 72*g**3 + 1222*g**2 - 38*g - 68 = 0.
-17, -2/9, 1/4
Find r such that -3*r**2 + 393*r + 396 = 0.
-1, 132
Solve k**4 - k**3 - 15*k**2 - 23*k - 10 = 0 for k.
-2, -1, 5
Solve 5*g**2 + 2310*g + 266805 = 0.
-231
Suppose 3*l**5/2 - 9*l**4/2 - 3*l**3 + 9*l**2 + 3*l/2 - 9/2 = 0. Calculate l.
-1, 1, 3
Factor 4*g**2 + 12*g + 8.
4*(g + 1)*(g + 2)
Solve 10*g**2/17 + 86*g/17 + 180/17 = 0.
-5, -18/5
Find d, given that -3*d**3/4 - 201*d**2 - 4743*d/4 - 3537/2 = 0.
-262, -3
Factor -u**4/2 + 9350*u**3 - 65566875*u**2 + 204350093750*u - 477668344140625/2.
-(u - 4675)**4/2
Factor y**4/3 - y**3 - 3*y**2 + 9*y.
y*(y - 3)**2*(y + 3)/3
Factor 3*u**4 + 18*u**3 + 12*u**2 - 72*u - 96.
3*(u - 2)*(u + 2)**2*(u + 4)
Factor -195*m**3/2 - 3119*m**2 - 24928*m + 256.
-(m + 16)**2*(195*m - 2)/2
Factor j**3/2 + 49*j**2/2 - 51*j.
j*(j - 2)*(j + 51)/2
Find z such that 3*z**2 - 39*z + 36 = 0.
1, 12
Solve n**3 - 39*n**2 + 264*n - 496 = 0.
4, 31
Factor -h**5/10 + 4*h**4 - 57*h**3/5 + 56*h**2/5 - 37*h/10.
-h*(h - 37)*(h - 1)**3/10
Factor 2*n**3/5 - 678*n**2/5 + 4006*n/5 - 666.
2*(n - 333)*(n - 5)*(n - 1)/5
Factor -74*h**2/7 - 6*h/7.
-2*h*(37*h + 3)/7
Factor 4*d**2 - 272*d + 4624.
4*(d - 34)**2
Suppose n**2/3 - 2*n + 5/3 = 0. What is n?
1, 5
Factor w**4 - 94*w**3 + 2976*w**2 - 39424*w + 188416.
(w - 46)*(w - 16)**3
Solve 9*d**5/5 + 15*d**4 + 198*d**3/5 + 168*d**2/5 = 0.
-4, -7/3, -2, 0
Determine f, given that 216*f**4 + 684*f**3 - 1572*f**2 + 788*f - 116 = 0.
-29/6, 1/3, 1
Factor f**2 - 115*f.
f*(f - 115)
Factor -2*x**3 + 938*x**2 - 109510*x - 110450.
-2*(x - 235)**2*(x + 1)
Solve -20*b**5 + 37390*b**4 - 93225725*b**3/4 + 19390934185*b**2/4 - 9677996615*b/4 + 1209021835/4 = 0 for b.
1/4, 623
Suppose 3*s**4 - 36*s**3 + 93*s**2 + 144*s - 420 = 0. Calculate s.
-2, 2, 5, 7
Factor -2*b**4 + 2*b**2.
-2*b**2*(b - 1)*(b + 1)
What is s in -s**4 - 22*s**3 + 27*s**2 + 88*s - 92 = 0?
-23, -2, 1, 2
Solve -2*u**3 - 464*u**2 - 26912*u = 0 for u.
-116, 0
Solve 4*c**3 - 92*c**2 + 304*c = 0 for c.
0, 4, 19
Determine h, given that -3*h**4 + 24*h**3 - 54*h**2 + 81 = 0.
-1, 3
Solve -12*n**2/7 + 165*n/7 - 117/7 = 0 for n.
3/4, 13
Factor -2*w**4/11 + 66*w**3 - 7986*w**2 + 322102*w.
-2*w*(w - 121)**3/11
Find n such that 2*n**5/9 + 22*n**4 + 4798*n**3/9 - 5198*n**2/9 - 1600*n/3 + 5000/9 = 0.
-50, -1, 1
Factor -3*f**2 - 54*f + 345.
-3*(f - 5)*(f + 23)
Let 2*t**3/13 + 40*t**2/13 + 18*t + 324/13 = 0. Calculate t.
-9, -2
Factor -11*k**2/2 - 10*k + 2.
-(k + 2)*(11*k - 2)/2
Factor 1875*a**4 - 450*a**3 - 3273*a**2 + 396*a + 1452.
3*(a - 1)**2*(25*a + 22)**2
Solve -b**4/6 + 1211*b**3/6 - 121603*b**2/2 - 1102919*b/6 - 368449/3 = 0 for b.
-2, -1, 607
Suppose 8*y**4/3 - 38*y**3/3 - 6*y**2 + 38*y/3 + 10/3 = 0. What is y?
-1, -1/4, 1, 5
Solve 8*b**5 - 130*b**4 + 728*b**3 - 1614*b**2 + 1224*b - 216 = 0.
1/4, 1, 3, 6
Find f such that 38*f**3 - 202*f**2 + 212*f - 48 = 0.
6/19, 1, 4
Find o, given that 10*o**3 - 981*o**2/7 + 492*o - 7 = 0.
1/70, 7
Find k such that k**4/4 + 15*k**3/2 + 153*k**2/4 - 289*k = 0.
-17, 0, 4
Factor 4*f**5 + 20*f**4 - 32*f**3 - 48*f**2.
4*f**2*(f - 2)*(f + 1)*(f + 6)
Suppose 2*f**5 + 160*f**4 + 158*f**3 = 0. Calculate f.
-79, -1, 0
Factor -5*g**3 + 5*g**2 + 20*g - 20.
-5*(g - 2)*(g - 1)*(g + 2)
Find r such that 3*r**4 + 93*r**3 + 759*r**2 + 495*r - 1350 = 0.
-15, -2, 1
Factor 18*z**3/7 - 66*z**2 + 3536*z/7 - 6936/7.
2*(z - 3)*(3*z - 34)**2/7
Find h, given that h**3/4 - 21*h**2/4 + 14*h - 9 = 0.
1, 2, 18
Let i**5/2 + i**4/2 - 6*i**3 - 8*i**2 + 16*i + 24 = 0. Calculate i.
-2, 2, 3
Suppose b**2/4 - 189*b/4 = 0. What is b?
0, 189
Suppose -206*q**5/9 + 70*q**4/3 + 820*q**3/9 - 280*q**2/3 + 16*q/9 = 0. What is q?
-2, 0, 2/103, 1, 2
Factor p**4/9 + 142*p**3/9 + 140*p**2/9 - 142*p/9 - 47/3.
(p - 1)*(p + 1)**2*(p + 141)/9
Suppose 2*i**2/15 - 2*i/3 = 0. Calculate i.
0, 5
What is b in -3*b**5/2 - 15*b**4 - 12*b**3 + 15*b**2 + 27*b/2 = 0?
-9, -1, 0, 1
Factor 2*v**3 - 2*v**2 - 8*v + 8.
2*(v - 2)*(v - 1)*(v + 2)
Factor 8*s**3/5 + 962*s**2/5 + 5808*s + 1440.
2*(s + 60)**2*(4*s + 1)/5
What is x in -2*x**4 - 46*x**3 - 46*x**2 + 838*x + 840 = 0?
-21, -5, -1, 4
Let -g**5/4 - 13*g**4/2 - 22*g**3 = 0. Calculate g.
-22, -4, 0
Factor 3*w**2 + 90*w + 87.
3*(w + 1)*(w + 29)
Factor -24*f**3 - 164*f**2 + 28*f.
-4*f*(f + 7)*(6*f - 1)
Factor k**2 - 68*k.
k*(k - 68)
Factor -4*q**3/3 + 2*q**2 - 2*q/3.
-2*q*(q - 1)*(2*q - 1)/3
Let 18*d**3 + 356*d**2 + 262*d - 76 = 0. Calculate d.
-19, -1, 2/9
Factor -2*o**4/3 - 1966*o**3/3 + 3948*o**2 - 23720*o/3 + 15824/3.
-2*(o - 2)**3*(o + 989)/3
Suppose i**4/4 + 15*i**3 + 225*i**2 = 0. Calculate i.
-30, 0
Facto