**4 + 8*c**3 - 4*c**2 = 0. Calculate c.
0, 1
Suppose -128*c**5/9 - 224*c**4/9 + 424*c**3/9 + 38*c**2 - 72*c + 24 = 0. Calculate c.
-2, 3/4
Factor -4*c**5 + 20*c**4 + 52*c**3 + 28*c**2.
-4*c**2*(c - 7)*(c + 1)**2
Factor 27*v**4 - 72*v**3 + 21*v**2 + 72*v - 48.
3*(v - 1)*(v + 1)*(3*v - 4)**2
Let -4*n**3 + 12*n**2 - 8*n = 0. What is n?
0, 1, 2
Factor -v**4/7 - 7*v**3 + 51*v**2/7 + 7*v - 50/7.
-(v - 1)**2*(v + 1)*(v + 50)/7
Solve -2*m**3 + 20*m**2 + 8*m - 80 = 0.
-2, 2, 10
Solve 20*c**5 - 48*c**4 + 36*c**3 - 8*c**2 = 0 for c.
0, 2/5, 1
Solve -55*s**5/4 - 265*s**4/4 - 115*s**3/4 + 525*s**2/4 - 45*s/2 = 0 for s.
-3, 0, 2/11, 1
Find u, given that -32*u**4/9 + 112*u**3/3 - 98*u**2/9 - 1372*u/3 - 4802/9 = 0.
-7/4, 7
Factor 20*a**2 - 788*a/3 + 104/3.
4*(a - 13)*(15*a - 2)/3
Factor k**4/5 - 24*k**3/5 + 10*k**2 + 240*k + 225.
(k - 15)**2*(k + 1)*(k + 5)/5
Factor 2*c**5 - 416*c**4 - 436*c**3 + 3784*c**2 - 4606*c + 1672.
2*(c - 209)*(c - 1)**3*(c + 4)
Determine r so that -5*r**3 + 140*r**2 + 455*r + 310 = 0.
-2, -1, 31
Factor -2*w**2 + 1430*w + 1432.
-2*(w - 716)*(w + 1)
Factor 5*p**5 - 75*p**4 + 165*p**3 + 1855*p**2 - 7350*p.
5*p*(p - 7)**2*(p - 6)*(p + 5)
Factor 2*y**2 - 16*y + 14.
2*(y - 7)*(y - 1)
Factor -n**3 + 7*n**2 + 9*n - 63.
-(n - 7)*(n - 3)*(n + 3)
Factor k**4/4 + 33*k**3/4 - k**2/4 - 33*k/4.
k*(k - 1)*(k + 1)*(k + 33)/4
Determine f, given that 14*f**5 - 710*f**4 + 9246*f**3 - 34722*f**2 - 10692*f = 0.
-2/7, 0, 9, 33
Factor 2*b**3/5 + 1504*b**2/5 - 3014*b/5 + 1508/5.
2*(b - 1)**2*(b + 754)/5
Factor -k**2 - 351*k - 350.
-(k + 1)*(k + 350)
Factor 3*q**5/8 + 57*q**4/8 - 477*q**3/4 + 2349*q**2/4 - 9801*q/8 + 7533/8.
3*(q - 3)**4*(q + 31)/8
Find v such that -5*v**3/3 - 100*v**2 = 0.
-60, 0
Find l such that l**3/6 - 11*l**2/6 + 19*l/6 - 3/2 = 0.
1, 9
Factor -2*q**4 - 4*q**3 + 6*q**2 + 16*q + 8.
-2*(q - 2)*(q + 1)**2*(q + 2)
What is k in 2*k**4 - 80*k**3/3 - 14*k**2/3 + 496*k/3 + 104 = 0?
-2, -2/3, 3, 13
Determine z so that -6845*z**3 - 8325*z**2 - 1560*z - 80 = 0.
-1, -4/37
Suppose 2*k**2/11 + 224*k/11 - 1416/11 = 0. Calculate k.
-118, 6
Factor 9*v**3/5 - 5*v**2 - 6*v/5.
v*(v - 3)*(9*v + 2)/5
Factor 2*r**5/11 - 196*r**4/11 - 18*r**3.
2*r**3*(r - 99)*(r + 1)/11
Let -8*j**2/5 + 1732*j/5 - 187489/10 = 0. What is j?
433/4
Determine a so that 2*a**3/9 - 46*a**2/9 + 28*a = 0.
0, 9, 14
Factor w**4/3 - 13*w**3/3 - w**2 + 37*w/3 + 26/3.
(w - 13)*(w - 2)*(w + 1)**2/3
Factor b**3/3 - 5*b**2 - 14*b + 136/3.
(b - 17)*(b - 2)*(b + 4)/3
Factor 2*u**3 - 70*u**2 + 68*u.
2*u*(u - 34)*(u - 1)
Solve -2*t**2/5 - 156*t - 15210 = 0 for t.
-195
Determine z, given that 16*z**5/7 - 48*z**4/7 - 84*z**3 - 536*z**2/7 + 996*z/7 - 288/7 = 0.
-3, 1/2, 8
Suppose 2*x**5/3 - 20*x**4/3 + 26*x**3/3 + 40*x**2 + 24*x = 0. Calculate x.
-1, 0, 6
Find a such that 2*a**2/7 - 10144*a/7 + 12862592/7 = 0.
2536
Factor 3*d**3/4 + 9*d**2/4 - 27*d/2.
3*d*(d - 3)*(d + 6)/4
Factor 5*q**2 - 50*q - 6720.
5*(q - 42)*(q + 32)
Factor 3*q**2 + 492*q - 6336.
3*(q - 12)*(q + 176)
Factor 3*a**3 - 6*a**2 - 675*a + 1350.
3*(a - 15)*(a - 2)*(a + 15)
Factor -4*t**5 + 12*t**4 + 4*t**3 - 44*t**2 + 48*t - 16.
-4*(t - 2)*(t - 1)**3*(t + 2)
What is l in 39*l**3/2 + 36*l**2 - 6*l = 0?
-2, 0, 2/13
Factor -2*f**2 - 78*f - 76.
-2*(f + 1)*(f + 38)
Suppose -1323*r**4/5 + 2898*r**3/5 - 516*r**2/5 + 24*r/5 = 0. Calculate r.
0, 2/21, 2
Determine r so that -2*r**3/11 + 14*r**2/11 + 2*r/11 - 14/11 = 0.
-1, 1, 7
Solve -a**2 - 19*a + 42 = 0.
-21, 2
Factor 3*z**2/2 + 36*z + 429/2.
3*(z + 11)*(z + 13)/2
Suppose 50*k**3 - 1880*k**2 + 9352*k - 12544 = 0. What is k?
14/5, 32
Factor -q**5 + 14*q**4 - 76*q**3 + 198*q**2 - 243*q + 108.
-(q - 4)*(q - 3)**3*(q - 1)
Factor 2*h**4/7 + 46*h**3/7 + 16*h**2 - 160*h/7.
2*h*(h - 1)*(h + 4)*(h + 20)/7
Let -3*c**4 - 213*c**3 + 891*c**2 - 675*c = 0. Calculate c.
-75, 0, 1, 3
Factor -n**4/4 - n**3/4 + 3*n**2.
-n**2*(n - 3)*(n + 4)/4
Let 5*l**4/2 + 445*l**3/2 + 875*l**2/2 + 435*l/2 = 0. Calculate l.
-87, -1, 0
Determine z, given that -z**3/7 - 27*z**2/7 + 129*z/7 + 155/7 = 0.
-31, -1, 5
Find r such that 3*r**5 - 363*r**4 + 10425*r**3 + 33483*r**2 + 34224*r + 11532 = 0.
-1, 62
Factor 6*r**2/7 - 1238*r/7 + 412/7.
2*(r - 206)*(3*r - 1)/7
Factor -2*g**3/3 + 8*g**2/9 + 14*g/9.
-2*g*(g + 1)*(3*g - 7)/9
Find q such that 3*q**2 - 246*q - 765 = 0.
-3, 85
Factor 3*l**2 + 792*l - 1596.
3*(l - 2)*(l + 266)
Factor 4*p**4 + 120*p**3 + 464*p**2 - 6624*p + 10368.
4*(p - 4)*(p - 2)*(p + 18)**2
Solve z**5/4 - 7*z**4/4 - 9*z**3/4 + 7*z**2/4 + 2*z = 0.
-1, 0, 1, 8
Suppose 27*j**3 - 42*j**2 + 3*j + 12 = 0. Calculate j.
-4/9, 1
Factor 2*h**2/3 - 120*h + 5400.
2*(h - 90)**2/3
Factor 6*b**2 + 6232*b - 2078.
2*(b + 1039)*(3*b - 1)
Factor 4*w**3 + 32*w**2 - 176*w + 192.
4*(w - 2)**2*(w + 12)
Find k such that 64*k**5 - 672*k**4 - 764*k**3 + 4728*k**2 - 2180*k + 264 = 0.
-3, 1/4, 2, 11
Find a, given that -a**3/5 + a**2/5 + 6*a/5 = 0.
-2, 0, 3
Factor 20*x**2/21 - 326*x/21 + 32/7.
2*(x - 16)*(10*x - 3)/21
Let 3*b**5/5 - 54*b**4/5 + 387*b**3/5 - 276*b**2 + 2448*b/5 - 1728/5 = 0. What is b?
3, 4
Factor -j**2/7 + 16*j - 448.
-(j - 56)**2/7
Factor 3*t**3 + 747*t**2 - 3810*t.
3*t*(t - 5)*(t + 254)
Factor 4*h**4/7 + 16*h**3/7 - 12*h**2 + 16*h/7 + 16.
4*(h - 2)**2*(h + 1)*(h + 7)/7
Solve -q**3/8 - q**2/2 + 3*q/2 = 0 for q.
-6, 0, 2
Find y such that -2*y**4/3 + 1052*y**3/3 - 138338*y**2/3 = 0.
0, 263
Factor 2*k**2/9 + 40*k/9 + 34/3.
2*(k + 3)*(k + 17)/9
Find b such that b**3/4 + 21*b**2/4 - 11*b/2 - 210 = 0.
-20, -7, 6
Factor -2*n**2/7 + 552*n - 266616.
-2*(n - 966)**2/7
Suppose 30*v**5 + 35*v**4 - 120*v**3 - 145*v**2 + 20 = 0. What is v?
-2, -1, -1/2, 1/3, 2
Determine q so that -q**4 + 317*q**3 + 637*q**2 + 319*q = 0.
-1, 0, 319
Find t, given that t**4/5 - 43*t**3/5 + 24*t**2 + 4*t/5 - 32 = 0.
-1, 2, 40
Factor 529*z**2/9 + 92*z/9 + 4/9.
(23*z + 2)**2/9
Factor -95*k**3 - 10*k**2 + 855*k + 90.
-5*(k - 3)*(k + 3)*(19*k + 2)
Suppose -2*d**4/19 - 78*d**3/19 - 686*d**2/19 + 186*d + 2128 = 0. Calculate d.
-19, -8, 7
Factor -z**5 + 2*z**3 - z.
-z*(z - 1)**2*(z + 1)**2
Suppose 5*q**5 - 35*q**4 + 30*q**3 = 0. Calculate q.
0, 1, 6
Factor 4*n**3 + 268*n**2 - 1124*n + 852.
4*(n - 3)*(n - 1)*(n + 71)
Determine c, given that 2*c**3 - 34*c**2 + 60*c = 0.
0, 2, 15
Find m, given that 5*m**5 - 85*m**4 - 145*m**3 + 5265*m**2 + 5400*m - 54000 = 0.
-5, 3, 12
Factor -2*b**2/3 + 214*b/9 + 8.
-2*(b - 36)*(3*b + 1)/9
Suppose -2*d**5/7 - 40*d**4/7 - 234*d**3/7 - 548*d**2/7 - 544*d/7 - 192/7 = 0. What is d?
-12, -4, -2, -1
Let 9*x**5 + 6*x**4 - 36*x**3 - 24*x**2 = 0. Calculate x.
-2, -2/3, 0, 2
Suppose 3*w**3/5 + 12654*w**2/5 + 17791524*w/5 + 8338294248/5 = 0. What is w?
-1406
Find k such that 3*k**5 + 6*k**4 - 57*k**3 + 84*k**2 - 36*k = 0.
-6, 0, 1, 2
Factor h**2/4 - 9*h/2 + 8.
(h - 16)*(h - 2)/4
Let -3*i**3 + 171*i**2 - 150*i - 1008 = 0. Calculate i.
-2, 3, 56
Factor t**2/5 + 134*t/5 + 104.
(t + 4)*(t + 130)/5
Suppose 2*x**2/11 + 36*x/11 + 64/11 = 0. Calculate x.
-16, -2
Find d such that -3*d**4 - 66*d**3 + 12*d**2 + 264*d = 0.
-22, -2, 0, 2
Factor -4*h**2 + 36*h - 32.
-4*(h - 8)*(h - 1)
Factor -5*t**3 - 265*t**2 + 550*t.
-5*t*(t - 2)*(t + 55)
Determine a, given that -a**2/4 + 3*a/4 - 1/2 = 0.
1, 2
Let -v**4 - 70*v**3 + 148*v**2 + 280*v - 576 = 0. What is v?
-72, -2, 2
Factor 724*x**3/3 - 1450*x**2/3 + 4*x/3.
2*x*(x - 2)*(362*x - 1)/3
Let -w**4/2 + 9*w**3 + 135*w**2/2 + 108*w = 0. What is w?
-3, 0, 24
Find v, given that -64*v**4/11 + 86*v**3/11 + 234*v**2/11 - 344*v/11 + 8 = 0.
-2, 11/32, 1, 2
Factor 215*o**3/2 + 549*o**2/2 - 142*o + 6.
(o + 3)*(5*o - 2)*(43*o - 2)/2
What is o in o**3/4 - 2*o**2 - 5*o = 0?
-2, 0, 10
Factor z**3/2 + 313*z**2/2 + 623*z/2 + 311/2.
(z + 1)**2*(z + 311)/2
Suppose 2*a**4/15 + 52*a**3/15 + 46*a**2/5 - 808*a/15 + 616/15 = 0. Calculate a.
-22, -7, 1, 2
Suppose -2*v**5/19 - 1730*v**4/19 - 371504*v**3/19 + 1130128*v**2/19 - 6944*v/19 - 1506848/19 = 0. Calculate v.
-434, -1, 2
Factor 2*j**4/19 - 24*j**3/19 + 44*j**2/19 + 168*j/19 + 98/19.
2*(j - 7)**2*(j + 1)**2/19
Let -2*x**5 - 10*x**4/7 + 522*x**3/7 - 638*x**2/7 + 20*x = 0. What is x?
-7, 0, 2/7, 1, 5
Suppose 3*j**2 + 3006*j = 0. Calculate j.
-1002, 0
Factor 3*n**2 - 6*n - 9.
3*(n - 3)*(n + 1)
Factor -4*k**3 - 32*k**2 + 44*k + 72.
-4*(k - 2)*(k + 1)*(k + 9)
Solve 2*r**2/13 + 7900*r/13 + 7