+ 120*a**3 - 1167*a**2 + 1050*a.
-3*a*(a - 25)*(a - 14)*(a - 1)
Let 5*u**5 - 1670*u**4 + 1660*u**3 + 1670*u**2 - 1665*u = 0. Calculate u.
-1, 0, 1, 333
Find l such that -15*l**2 + 16990*l - 11320 = 0.
2/3, 1132
Suppose 36*n**5 + 267*n**4 + 621*n**3 + 558*n**2 + 168*n = 0. What is n?
-4, -7/4, -1, -2/3, 0
Determine z, given that 4*z**3 + 44*z**2 - 48*z = 0.
-12, 0, 1
Factor -u**2/8 + 3*u - 23/8.
-(u - 23)*(u - 1)/8
Factor 17*i**2 - 65*i - 12.
(i - 4)*(17*i + 3)
Factor 4*l**4 - 8*l**3 - 720*l**2 - 2656*l - 2560.
4*(l - 16)*(l + 2)**2*(l + 10)
Factor -2*d**2/3 - 82*d - 684.
-2*(d + 9)*(d + 114)/3
Factor -d**2/6 + 8*d/3 - 5/2.
-(d - 15)*(d - 1)/6
Factor -5*s**2 + 770*s + 1560.
-5*(s - 156)*(s + 2)
Factor -3*i**3 + 111*i**2 - 405*i + 297.
-3*(i - 33)*(i - 3)*(i - 1)
Let -75*l**2 + 85*l - 10 = 0. What is l?
2/15, 1
What is f in -4*f**5 + 224*f**4 - 4672*f**3 + 44032*f**2 - 180224*f + 262144 = 0?
4, 16
Solve -3*j**5 + 132*j**4 - 1503*j**3 + 2622*j**2 - 1248*j = 0.
0, 1, 16, 26
Let -6*v**4/5 + 536*v**3/5 - 178*v**2/5 = 0. Calculate v.
0, 1/3, 89
Suppose 4*s**4 - 68*s**2 + 144*s - 80 = 0. What is s?
-5, 1, 2
Let 3*n**2 + 4032*n = 0. Calculate n.
-1344, 0
Factor -n**5/5 + n**4 - 9*n**3/5 + 7*n**2/5 - 2*n/5.
-n*(n - 2)*(n - 1)**3/5
What is z in -z**2/4 - 9*z + 19 = 0?
-38, 2
Factor 13*o**4 - 48*o**3 - 63*o**2 + 270*o.
o*(o - 3)**2*(13*o + 30)
Factor -14*o**5/13 + 466*o**4/13 - 5214*o**3/13 + 20086*o**2/13 - 5324*o/13.
-2*o*(o - 11)**3*(7*o - 2)/13
Factor b**2/3 - 53*b/3 + 52/3.
(b - 52)*(b - 1)/3
Find o, given that -2*o**2/3 - 2540*o - 2419350 = 0.
-1905
Suppose 3*u**3/4 + 12387*u**2/4 + 3198168*u + 3195072 = 0. What is u?
-2064, -1
Suppose -4*d**5/5 + 14*d**4/5 + 6*d**3/5 - 34*d**2/5 - 2*d + 12/5 = 0. What is d?
-1, 1/2, 2, 3
Factor 2*y**2/11 - 262*y/11 - 532/11.
2*(y - 133)*(y + 2)/11
Determine u so that 2*u**4/7 - 6*u**3/7 + 4*u**2/7 = 0.
0, 1, 2
Determine f, given that 4*f**2 - 8*f - 32 = 0.
-2, 4
Determine u so that -u**4 + 6*u**3 - 9*u**2 - 4*u + 12 = 0.
-1, 2, 3
Factor j**3/4 - 7*j**2 + 253*j/4 - 363/2.
(j - 11)**2*(j - 6)/4
Factor -x**2/4 + 7*x/2 - 10.
-(x - 10)*(x - 4)/4
Suppose 5*d**5 - 50*d**3 - 100*d**2 - 75*d - 20 = 0. What is d?
-1, 4
What is s in -4*s**3 + 604*s**2 - 2944*s + 3504 = 0?
2, 3, 146
Let 2*w**4/7 - 22*w**3/21 + 2*w**2/7 + 22*w/21 - 4/7 = 0. Calculate w.
-1, 2/3, 1, 3
Suppose -2*x**5 + 80*x**4 - 222*x**3 = 0. What is x?
0, 3, 37
Suppose -q**4 + 79*q**3 - 76*q**2 - 156*q = 0. What is q?
-1, 0, 2, 78
Factor 5*i**2 + 15*i + 10.
5*(i + 1)*(i + 2)
Factor -4*i**4 - 216*i**3 - 3888*i**2 - 23328*i.
-4*i*(i + 18)**3
What is s in 2*s**5/3 + 16*s**4/3 - 28*s**3 + 136*s**2/3 - 94*s/3 + 8 = 0?
-12, 1
Factor -3*a**2 + 1023*a.
-3*a*(a - 341)
What is w in -4*w**4 + 32*w**3 + 2108*w**2 + 3912*w - 6048 = 0?
-18, -3, 1, 28
Factor -4*d**4 + 8*d**3 + 380*d**2 + 1200*d.
-4*d*(d - 12)*(d + 5)**2
Factor 2*f**2/15 + 12*f/5 + 64/15.
2*(f + 2)*(f + 16)/15
Solve -64*v**3 - 288*v**2 - 324*v - 108 = 0 for v.
-3, -3/4
Determine d, given that -2*d**5/11 + 40*d**4/11 - 72*d**3/11 = 0.
0, 2, 18
Suppose -80*g**2 + 975*g - 180 = 0. What is g?
3/16, 12
Factor 4*w**5 - 44*w**4 + 108*w**3 - 100*w**2 + 32*w.
4*w*(w - 8)*(w - 1)**3
Factor -3*p**3/2 - 11*p**2/2 + 3*p + 4.
-(p - 1)*(p + 4)*(3*p + 2)/2
Factor 7*r**3/4 - 15*r**2/2 - 19*r + 6.
(r - 6)*(r + 2)*(7*r - 2)/4
Factor 2*m**4 + 42*m**3 + 174*m**2 + 230*m + 96.
2*(m + 1)**2*(m + 3)*(m + 16)
Suppose -a**5 - 11*a**4 - 10*a**3 = 0. What is a?
-10, -1, 0
Factor -2*r**3/9 - 16*r**2/9 - 10*r/3.
-2*r*(r + 3)*(r + 5)/9
Determine r so that -57658368*r**2 - 26304*r - 3 = 0.
-1/4384
Determine n, given that 24*n**5 + 196*n**4 + 440*n**3 + 308*n**2 + 40*n = 0.
-5, -2, -1, -1/6, 0
Find v, given that 15*v**5/2 - 2*v**4 - 45*v**3/2 + 21*v**2 - 4*v = 0.
-2, 0, 4/15, 1
Factor -2*u**3/7 + 1250*u**2/7 - 194686*u/7 - 195938/7.
-2*(u - 313)**2*(u + 1)/7
Factor 40*y**4 - 35*y**3 - 45*y**2 + 35*y + 5.
5*(y - 1)**2*(y + 1)*(8*y + 1)
Factor -2*f**3 - 216*f**2 + 896*f.
-2*f*(f - 4)*(f + 112)
Factor -36*r**4 - 316*r**3 + 72*r**2.
-4*r**2*(r + 9)*(9*r - 2)
Factor 4*a**2 + 5832*a.
4*a*(a + 1458)
Determine d, given that -3*d**4 - 27*d**3 - 51*d**2 + 27*d + 54 = 0.
-6, -3, -1, 1
Suppose u**4/4 - 13*u**3/2 + 40*u**2 = 0. Calculate u.
0, 10, 16
Factor 18*v**3 + 372*v**2 - 130*v - 84.
2*(v + 21)*(3*v - 2)*(3*v + 1)
What is h in -10*h**5 - 35*h**4 - 25*h**3 + 25*h**2 + 35*h + 10 = 0?
-2, -1, -1/2, 1
Factor -3*d**3 - 57*d**2 - 360*d - 756.
-3*(d + 6)**2*(d + 7)
Factor 4*s**3/7 - 125*s**2/7 + 151*s/7 - 30/7.
(s - 30)*(s - 1)*(4*s - 1)/7
Factor -s**3 - 183*s**2 - 11163*s - 226981.
-(s + 61)**3
Suppose -4*a**4 + 44*a**3 - 144*a**2 + 144*a = 0. What is a?
0, 2, 3, 6
Factor -3*a**3/8 + 4239*a**2/8 - 1996569*a/8 + 313461333/8.
-3*(a - 471)**3/8
Factor -2*l**4/7 - 122*l**3 - 121836*l**2/7 - 5847560*l/7 - 5726576/7.
-2*(l + 1)*(l + 142)**3/7
Factor -g**2 - 571*g + 1146.
-(g - 2)*(g + 573)
Find z such that -8*z**4/3 - 508*z**3/3 + 869*z**2/2 - 723*z/2 + 99 = 0.
-66, 3/4, 1
Find m such that -6*m**5 - 14*m**4 + 6*m**3 + 22*m**2 - 8 = 0.
-2, -1, 2/3, 1
Solve -8*p**2/9 - 281*p/3 - 35 = 0 for p.
-105, -3/8
Suppose -s**2/9 - 10*s/3 - 25 = 0. Calculate s.
-15
Find t, given that 5*t**3 - 490*t**2 + 475*t + 970 = 0.
-1, 2, 97
Solve 3*v**2/4 - 5157*v/2 + 8864883/4 = 0.
1719
Factor -2*s**2/15 - 8*s/5 + 26/15.
-2*(s - 1)*(s + 13)/15
Find v such that v**2 + 11*v - 12 = 0.
-12, 1
Solve -4*m**5 + 72*m**4 - 416*m**3 + 712*m**2 + 420*m - 784 = 0.
-1, 1, 4, 7
Determine d, given that -d**2/3 - 23*d/3 + 8 = 0.
-24, 1
Suppose 3*w**5 + 300*w**4 - 312*w**3 - 906*w**2 + 309*w + 606 = 0. Calculate w.
-101, -1, 1, 2
Solve 9*t**2/4 + 3*t - 165/4 = 0 for t.
-5, 11/3
Factor -6*a**3 - 190*a**2 - 1472*a + 512.
-2*(a + 16)**2*(3*a - 1)
Factor 4*n**3 + 120*n**2 - 124*n.
4*n*(n - 1)*(n + 31)
Suppose -t**2/4 - t/2 - 1/4 = 0. Calculate t.
-1
Factor -4*q**4 + 48*q**2 - 64*q.
-4*q*(q - 2)**2*(q + 4)
Factor -4*l**2 + 20*l + 56.
-4*(l - 7)*(l + 2)
Suppose 2*d**3/11 + 20*d**2/11 + 42*d/11 = 0. Calculate d.
-7, -3, 0
Factor 3*r**4/7 - 6*r**3/7 - 3*r**2 - 12*r/7.
3*r*(r - 4)*(r + 1)**2/7
Factor -3*n**3 - 138*n**2 - 1425*n + 1566.
-3*(n - 1)*(n + 18)*(n + 29)
Determine h so that h**2/4 + h/2 = 0.
-2, 0
Let 3*z**4 - 141*z**3 - 444*z**2 - 300*z = 0. What is z?
-2, -1, 0, 50
Suppose 4*o**2/9 - 208*o/9 + 836/3 = 0. Calculate o.
19, 33
Solve -9*b**4 - 51*b**3 - 90*b**2 - 36*b + 24 = 0.
-2, 1/3
Solve -2*i**5 + 344*i**4/5 - 136*i**3/5 = 0 for i.
0, 2/5, 34
Factor -k**3 + 414*k**2 + 2515*k + 2100.
-(k - 420)*(k + 1)*(k + 5)
Factor 2*q**2 + 52*q + 266.
2*(q + 7)*(q + 19)
Factor -2*z**2/5 - 2*z/5 + 24/5.
-2*(z - 3)*(z + 4)/5
Factor i**5/3 + i**4 - 2*i**3/3 - 4*i**2 - 8*i/3.
i*(i - 2)*(i + 1)*(i + 2)**2/3
Determine d, given that 8*d**3 + 380*d**2 - 192*d = 0.
-48, 0, 1/2
Factor 3*z**2/5 + 5976*z/5 + 2388.
3*(z + 2)*(z + 1990)/5
Factor 4*u**4/7 + 4*u**3/7 - 20*u**2/7 + 12*u/7.
4*u*(u - 1)**2*(u + 3)/7
Factor l**3/5 - 6*l**2/5 - 7*l/5.
l*(l - 7)*(l + 1)/5
Solve -5*f**5 + 180*f**4 - 315*f**3 - 880*f**2 + 1020*f = 0.
-2, 0, 1, 3, 34
Determine i so that 2*i**3 - 80*i**2 + 358*i - 280 = 0.
1, 4, 35
Suppose -18*f**4 - 177*f**3/7 + 18*f**2/7 + 9*f - 6/7 = 0. Calculate f.
-1, 2/21, 1/2
Factor -4*t**3/7 + 4*t**2/7 + 40*t/7 + 32/7.
-4*(t - 4)*(t + 1)*(t + 2)/7
Determine k, given that -3*k**3/7 - 192*k**2/7 + 393*k/7 - 198/7 = 0.
-66, 1
Find z such that -z**2 - 29*z - 28 = 0.
-28, -1
Find i, given that -i**4/7 + 10*i**3/7 - 8*i**2/7 - 10*i/7 + 9/7 = 0.
-1, 1, 9
Suppose 6*b**3 + 21*b**2 + 15*b = 0. Calculate b.
-5/2, -1, 0
Factor 3*p**5 - 30*p**4 + 63*p**3 + 120*p**2 - 300*p.
3*p*(p - 5)**2*(p - 2)*(p + 2)
Factor 2*h**2/11 - 140*h/11 + 272/11.
2*(h - 68)*(h - 2)/11
Solve 4*f**2/7 - 82*f/7 + 78/7 = 0 for f.
1, 39/2
Factor -3*u**2 - 75*u + 78.
-3*(u - 1)*(u + 26)
Factor 4*c**4 - 24*c**3 + 36*c**2 - 16*c.
4*c*(c - 4)*(c - 1)**2
Factor -3*a**2/7 - 1200*a/7 + 2412/7.
-3*(a - 2)*(a + 402)/7
Factor -r**2 + 216*r - 215.
-(r - 215)*(r - 1)
Find j, given that -3*j**5 + 2322*j**4 - 2319*j**3 = 0.
0, 1, 773
Factor i**4/5 - 17*i**2/5 - 36*i/5 - 4.
(i - 5)*(i + 1)*(i + 2)**2/5
Solve -l**4 - 6*l**3/5 + 3*l**2 + 8*l/5 - 12/5 = 0.
-2, -6/5, 1
Factor 5*f**4 - 110*f**3 - 125*f**2 + 230*f.
5*f*(f - 23)*(f - 1)*(f + 2)
Suppose -3*z**4 + 15*z**