- 2988*h - 1944 = 0. What is h?
-54, -2/11, 1/4
Find l, given that 5*l**2 - 75*l + 270 = 0.
6, 9
Factor -y**2 - 75*y + 234.
-(y - 3)*(y + 78)
Let 2*t**3/17 + 38*t**2/17 + 14*t + 490/17 = 0. What is t?
-7, -5
Let 3*o**3/5 + 153*o**2/5 + 2601*o/5 + 14739/5 = 0. Calculate o.
-17
Factor -r**4 - 133*r**3 - 262*r**2.
-r**2*(r + 2)*(r + 131)
Let -2*w**4/11 - 20*w**3 - 624*w**2/11 + 1916*w/11 - 1070/11 = 0. What is w?
-107, -5, 1
Factor -3*u**2 - 54*u.
-3*u*(u + 18)
Factor -2*r**2/3 + 316*r/3 + 656.
-2*(r - 164)*(r + 6)/3
Factor -5*m**2 + 32*m - 44.
-(m - 2)*(5*m - 22)
Find g, given that -g**5 + 4*g**4 - g**3 - 14*g**2 + 20*g - 8 = 0.
-2, 1, 2
Suppose 3*i**3 - 570*i**2 - 12*i + 2280 = 0. What is i?
-2, 2, 190
Find o, given that -o**4/6 - 445*o**3/3 - 198025*o**2/6 = 0.
-445, 0
Suppose 2*h**2/3 + 82*h/3 + 80/3 = 0. Calculate h.
-40, -1
Let 243*h**5 - 1296*h**4 + 2592*h**3 - 2304*h**2 + 768*h = 0. What is h?
0, 4/3
Solve -2*j**2/13 + 32*j/13 + 384/13 = 0 for j.
-8, 24
Factor 2*p**3/3 + 100*p**2/3 + 1144*p/3 - 2704/3.
2*(p - 2)*(p + 26)**2/3
Factor -3*r**3 - 45*r**2 + 939*r - 891.
-3*(r - 11)*(r - 1)*(r + 27)
Let 4*i**3/5 - 15828*i**2/5 + 3133152*i - 15649936/5 = 0. What is i?
1, 1978
Let -4*f**4 + 384*f**3 - 1488*f**2 + 1472*f = 0. What is f?
0, 2, 92
Find n, given that -4*n**4 + 52*n**3 - 192*n**2 + 144*n = 0.
0, 1, 6
Factor -242*h**5 - 8140*h**4 + 2984*h**3 - 272*h**2.
-2*h**2*(h + 34)*(11*h - 2)**2
Let -o**2 - 75*o + 486 = 0. What is o?
-81, 6
Determine v so that -v**3 - 97*v**2 - 2400*v - 2304 = 0.
-48, -1
Determine o, given that -162*o**5/17 - 32310*o**4/17 - 1593926*o**3/17 + 1790054*o**2/17 + 8233456*o/17 + 4881624/17 = 0.
-902/9, -1, 3
Solve c**5/5 - 9*c**4/5 + 7*c**3/5 + 9*c**2/5 - 8*c/5 = 0 for c.
-1, 0, 1, 8
Factor 5*o**2 + 14420*o + 10396820.
5*(o + 1442)**2
Factor -5*t**2 - 4755*t - 4750.
-5*(t + 1)*(t + 950)
Suppose 2*g**3/3 - 8*g**2 - 122*g/3 - 32 = 0. Calculate g.
-3, -1, 16
Solve -3*z**4/2 + 324*z**3 - 26244*z**2 + 944784*z - 12754584 = 0 for z.
54
Factor 2*x**2 - 54*x + 100.
2*(x - 25)*(x - 2)
What is l in -5*l**3/3 - 2*l**2 + 28*l - 104/3 = 0?
-26/5, 2
Factor 3*v**2/5 - 9*v/5 - 6.
3*(v - 5)*(v + 2)/5
Let -w**4 - 8*w**3 + 30*w**2 - 32*w + 11 = 0. Calculate w.
-11, 1
Factor 16*q**2 - 2380*q - 596.
4*(q - 149)*(4*q + 1)
Factor -5*l**2 - 2270*l - 2265.
-5*(l + 1)*(l + 453)
Factor -3*c**2/4 - 4737*c/4 - 4731/2.
-3*(c + 2)*(c + 1577)/4
Determine f, given that -4*f**2/9 - 5*f/3 + 4/9 = 0.
-4, 1/4
Let -5*v**2 + 320*v - 2915 = 0. What is v?
11, 53
Solve -35*w**4 + 10455*w**3 - 7370*w**2 - 23820*w - 5960 = 0.
-1, -2/7, 2, 298
What is g in -g**4/7 - 444*g**3/7 - 73926*g**2/7 - 5470524*g/7 - 151807041/7 = 0?
-111
Factor -2*n**5/11 + 2*n**4/11 + 2*n**3/11 - 2*n**2/11.
-2*n**2*(n - 1)**2*(n + 1)/11
Factor -2*r**2/7 - 334*r/7 + 1368/7.
-2*(r - 4)*(r + 171)/7
What is x in -24*x**3 - 39*x**2 + 90*x - 27 = 0?
-3, 3/8, 1
Find l, given that 2*l**2/15 - 2*l/15 - 8/3 = 0.
-4, 5
What is w in -2*w**3/9 + 70*w**2/3 - 2450*w/3 + 85750/9 = 0?
35
Factor -4*w**4 - 12*w**3 + 88*w**2 + 96*w.
-4*w*(w - 4)*(w + 1)*(w + 6)
Factor 5*r**3 - 75*r**2 - 13125*r - 203125.
5*(r - 65)*(r + 25)**2
Suppose -3*a**3/7 - 2265*a**2/7 - 60912*a + 61236 = 0. What is a?
-378, 1
Factor 5*p**4 - 710*p**3 + 4125*p**2 - 6140*p + 2720.
5*(p - 136)*(p - 4)*(p - 1)**2
Solve -4*a**3 + 48*a**2 = 0 for a.
0, 12
Solve 16*w**4 + 6268*w**3 - 7868*w**2 - 3132*w + 4716 = 0 for w.
-393, -3/4, 1
Solve -v**5/3 + v**4 + 3*v**3 + 5*v**2/3 = 0.
-1, 0, 5
Factor 6*r**3/5 + 482*r**2/5 - 1334*r/5 - 498/5.
2*(r - 3)*(r + 83)*(3*r + 1)/5
Factor -4*k**2 - 8248*k - 4251844.
-4*(k + 1031)**2
Solve -40*k**4 + 115*k**3 - 65*k**2 - 10*k = 0.
-1/8, 0, 1, 2
Factor -33*k**3 - 51*k**2 + 48*k + 36.
-3*(k - 1)*(k + 2)*(11*k + 6)
Factor 1331*y**5 - 1694*y**4 + 396*y**3 - 34*y**2 + y.
y*(y - 1)*(11*y - 1)**3
What is t in -3*t**4 + 35*t**3 + 53*t**2 - 11*t - 26 = 0?
-1, 2/3, 13
Suppose -4*u**5/11 + 46*u**4/11 + 34*u**3/11 - 118*u**2/11 - 30*u/11 + 72/11 = 0. Calculate u.
-3/2, -1, 1, 12
Find c, given that 36*c**4 - 312*c**3 + 772*c**2 - 416*c + 64 = 0.
1/3, 4
Factor -i**3/3 - 117*i**2 - 13689*i - 533871.
-(i + 117)**3/3
Determine y, given that -3*y**4/8 - 1041*y**3/8 - 2073*y**2/8 - 1035*y/8 = 0.
-345, -1, 0
Factor 1524*u**2 - 1881*u/5 - 6/5.
3*(4*u - 1)*(635*u + 2)/5
Factor -c**2 - 13*c - 30.
-(c + 3)*(c + 10)
Find h, given that 4*h**2/7 - 58*h/7 - 30/7 = 0.
-1/2, 15
Let 43*l**3 - 83*l**2 + 37*l + 3 = 0. What is l?
-3/43, 1
Suppose -3*l**4 + 36*l**3 - 27*l**2 - 66*l = 0. What is l?
-1, 0, 2, 11
Factor 3*l**2 + 24*l.
3*l*(l + 8)
Let -m**2/4 + 6*m - 11 = 0. Calculate m.
2, 22
Factor -5*p**4 + 15*p**3 + 15*p**2 - 55*p + 30.
-5*(p - 3)*(p - 1)**2*(p + 2)
Determine q, given that -2*q**2/5 + 18*q/5 - 36/5 = 0.
3, 6
Determine p so that -p**3/11 - 294*p**2/11 = 0.
-294, 0
What is o in -o**2/2 - 1275*o - 2549/2 = 0?
-2549, -1
Factor -3*k**4 - 9930*k**3 - 8226999*k**2 - 16424220*k - 8207148.
-3*(k + 1)**2*(k + 1654)**2
Determine u, given that -10*u**4 + 86*u**3 - 194*u**2 + 58*u + 60 = 0.
-2/5, 1, 3, 5
Factor -9*y**3 - 38343*y**2 - 40844880*y - 13610700.
-3*(y + 2130)**2*(3*y + 1)
Factor -22*p**3 - 92*p**2 + 248*p + 48.
-2*(p - 2)*(p + 6)*(11*p + 2)
Find f such that -10*f**3 + 6*f**2 + 18*f/5 + 2/5 = 0.
-1/5, 1
Suppose -u**3 - 2*u**2 + 4*u + 8 = 0. What is u?
-2, 2
Factor 2*k**2/7 - 136*k/7 - 426/7.
2*(k - 71)*(k + 3)/7
Suppose 8*f**2/13 - 10*f - 648/13 = 0. Calculate f.
-4, 81/4
Factor 2*y**2/3 - 82*y/3 - 28.
2*(y - 42)*(y + 1)/3
Factor t**2 - 14*t - 51.
(t - 17)*(t + 3)
Suppose -4*p**3/3 - 8*p**2/3 + 4*p = 0. Calculate p.
-3, 0, 1
Factor -x**3 - 63*x**2 - 636*x + 700.
-(x - 1)*(x + 14)*(x + 50)
Factor 2*s**3 - 810*s**2 + 109350*s - 4920750.
2*(s - 135)**3
Factor g**3/3 + 40*g**2/3 + 49*g + 36.
(g + 1)*(g + 3)*(g + 36)/3
Solve -n**2/4 + 13*n/4 - 10 = 0.
5, 8
Factor 5*r**3 + 5*r**2 - 20*r - 20.
5*(r - 2)*(r + 1)*(r + 2)
Suppose -2*m**4/7 + 8*m**3/7 - 10*m**2/7 + 4*m/7 = 0. Calculate m.
0, 1, 2
Let -4*v**2 - 156*v - 296 = 0. Calculate v.
-37, -2
Suppose 4*x**2 + 148*x + 144 = 0. Calculate x.
-36, -1
Factor -s**3 - 4*s**2 + s + 4.
-(s - 1)*(s + 1)*(s + 4)
Let -3*b**2 - 6*b + 24 = 0. Calculate b.
-4, 2
Solve 25*c**2 + 2065*c - 830 = 0 for c.
-83, 2/5
Factor 5*r**2 - 85*r.
5*r*(r - 17)
Factor -2*j**2 + 20*j - 18.
-2*(j - 9)*(j - 1)
Let -l**2 - 15*l - 26 = 0. What is l?
-13, -2
Factor -g**3 - 11689*g**2/4 - 4270503*g/2 - 2134521/4.
-(g + 1461)**2*(4*g + 1)/4
Factor 2*w**2/7 + 36*w/7 - 80/7.
2*(w - 2)*(w + 20)/7
Determine d, given that -2*d**5/3 + 34*d**4/3 - 28*d**3/3 - 64*d**2/3 = 0.
-1, 0, 2, 16
Let 5*m**3 + 445*m**2 + 440*m = 0. Calculate m.
-88, -1, 0
What is l in -4*l**2 - 40*l - 36 = 0?
-9, -1
Factor -3*w**2/8 + 585*w/8 - 579/4.
-3*(w - 193)*(w - 2)/8
Find l, given that 2*l**2/9 - 14*l - 44 = 0.
-3, 66
Factor 4*n**4 + 8*n**3 + 4*n**2.
4*n**2*(n + 1)**2
Determine a, given that -a**5/3 + 2*a**4 + 4*a**3/3 - 8*a**2 = 0.
-2, 0, 2, 6
Factor 3*f**3 - 42*f**2.
3*f**2*(f - 14)
Factor -5*q**3 + 15*q - 10.
-5*(q - 1)**2*(q + 2)
What is t in t**2/3 - 50*t/3 + 49/3 = 0?
1, 49
Factor -b**2 + 7*b + 1044.
-(b - 36)*(b + 29)
Factor 4*q**3/3 - 136*q**2/3 - 268*q + 312.
4*(q - 39)*(q - 1)*(q + 6)/3
Let o**3/2 + 22*o**2 - 515*o/2 + 675 = 0. Calculate o.
-54, 5
Factor 26*u**2 + 888*u + 136.
2*(u + 34)*(13*u + 2)
Solve n**3 - 9*n**2 - 21*n - 11 = 0 for n.
-1, 11
Let -8*h**5/5 - 78*h**4 - 1728*h**3/5 - 2488*h**2/5 - 1056*h/5 = 0. Calculate h.
-44, -2, -3/4, 0
Let 3*s**2/7 - 105*s - 738/7 = 0. Calculate s.
-1, 246
Determine o so that -9*o**4/5 - 87*o**3/5 - 127*o**2/5 - 57*o/5 - 8/5 = 0.
-8, -1, -1/3
Solve -5*i**5/4 + 35*i**4/4 - 75*i**3/4 + 65*i**2/4 - 5*i = 0 for i.
0, 1, 4
Let 5*v**2/4 - 15*v/2 - 200 = 0. What is v?
-10, 16
Factor -6*q**3 - 5104*q**2 - 3398*q + 1700.
-2*(q + 1)*(q + 850)*(3*q - 1)
Factor 10*b**4/21 + 206*b**3/21 + 66*b**2 + 406*b/3 - 196/3.
2*(b + 7)**3*(5*b - 2)/21
Factor -212*y**3 - 384*y**2 - 132*y + 40.
-4*(y + 1)**2*(53*y - 10)
Solve -2*h**3/11 + 58*h**2/11 + 188*h/11 + 128/11 = 0 for h.
-2, -1, 32
Factor -3*d**3 + 6*d**2 + 15*d - 18.
-3*(d - 3)*(d - 1)*(d + 2)
Find z such that 10*z**4/11 - 46*z**3/11 - 80*z**2/11 - 24*z/11 = 0.
-1, -2/5, 0, 6
Factor -2*q**3/5 - 4*q**2/5 + 8*q - 48/5.
-2*(q - 2)**2*(q + 6)/5
Factor 2*g**5/11 +