 1)*(p + 1)
Solve 2*g**3/15 + 174*g**2/5 + 15138*g/5 + 439002/5 = 0.
-87
Factor 4*p**3 - 80*p**2 + 172*p + 1344.
4*(p - 16)*(p - 7)*(p + 3)
Factor -k**3/7 + 44*k**2/7 + 13*k + 46/7.
-(k - 46)*(k + 1)**2/7
Solve -24*f**4/5 + 10*f**3 + 4*f**2 - 10*f + 4/5 = 0 for f.
-1, 1/12, 1, 2
Find f such that f**5/4 + f**4 - 15*f**3 = 0.
-10, 0, 6
Factor 5*z**2 + 173*z - 70.
(z + 35)*(5*z - 2)
Suppose n**3/3 - 200*n**2/3 + 132*n = 0. What is n?
0, 2, 198
Factor a**2/10 - 77*a/5 - 31/2.
(a - 155)*(a + 1)/10
Let -2*x**4 - 36*x**3 - 152*x**2 + 36*x + 154 = 0. Calculate x.
-11, -7, -1, 1
Solve -120*w**5/7 - 306*w**4/7 + 276*w**3/7 + 288*w**2/7 - 156*w/7 + 18/7 = 0 for w.
-3, -1, 1/5, 1/4, 1
Find p such that -2*p**2 + 222*p + 224 = 0.
-1, 112
Factor -2*o**2/3 - 7552*o - 21387264.
-2*(o + 5664)**2/3
Solve 2*k**5 + 110*k**4 - 2*k**3 - 110*k**2 = 0 for k.
-55, -1, 0, 1
Find n, given that 2401*n**4/5 - 4998*n**3 + 13985*n**2 - 5100*n + 500 = 0.
10/49, 5
Factor -4*u**2 + 6400*u - 2560000.
-4*(u - 800)**2
Factor 2*w**3 - 96*w**2 + 672*w - 1280.
2*(w - 40)*(w - 4)**2
Factor -4*s**3/11 + 458*s**2/11 - 228*s/11.
-2*s*(s - 114)*(2*s - 1)/11
Factor -3*r**2/2 - 1122*r - 209814.
-3*(r + 374)**2/2
Find f such that 3*f**3/7 + 111*f**2/7 - 120*f/7 - 228/7 = 0.
-38, -1, 2
What is t in -3*t**3/2 - 39*t**2/2 + 1431*t/2 - 7533/2 = 0?
-31, 9
Find a such that 3*a**2/4 + 1725*a/2 + 3447/4 = 0.
-1149, -1
Find k such that k**4 + 8*k**3 - 35*k**2 - 294*k = 0.
-7, 0, 6
What is o in o**5/3 - 4*o**4 + 38*o**3/3 - 52*o**2/3 + 11*o - 8/3 = 0?
1, 8
Factor -2*k**4/7 + 8*k**2/7.
-2*k**2*(k - 2)*(k + 2)/7
Factor 3*r**4 - 48*r**3 + 126*r**2 + 648*r - 729.
3*(r - 9)**2*(r - 1)*(r + 3)
What is t in t**2 + 87*t + 170 = 0?
-85, -2
Suppose 245*d**3 - 82215*d**2 + 46920*d - 6700 = 0. Calculate d.
2/7, 335
Factor -3*g**3/4 + 18*g**2 - 465*g/4 + 99.
-3*(g - 12)*(g - 11)*(g - 1)/4
Factor n**5 - 27*n**4 + 74*n**3 - 48*n**2.
n**2*(n - 24)*(n - 2)*(n - 1)
Find h such that -3*h**5 - 48*h**4 = 0.
-16, 0
Factor g**3/3 - 9*g**2 + 131*g/3 - 35.
(g - 21)*(g - 5)*(g - 1)/3
Solve 2*i**3/7 - 654*i**2/7 + 186*i - 650/7 = 0.
1, 325
What is l in 4*l**5 + 68*l**4 - 152*l**3 + 8*l**2 + 148*l - 76 = 0?
-19, -1, 1
Determine i so that 4*i**3 - 408*i**2 + 5124*i - 17248 = 0.
7, 88
Factor 4*a**3 - 4*a**2 - 48*a.
4*a*(a - 4)*(a + 3)
Factor -l**5 - 16*l**4 + 35*l**3 - 18*l**2.
-l**2*(l - 1)**2*(l + 18)
Factor -3*x**2 - 15*x - 18.
-3*(x + 2)*(x + 3)
Suppose 3*j**2/5 - 372*j/5 + 11532/5 = 0. Calculate j.
62
Factor 2*r**5 + 10*r**4 - 2*r**3 - 10*r**2.
2*r**2*(r - 1)*(r + 1)*(r + 5)
Determine v, given that -3*v**4/2 - 381*v**3/2 - 1827*v**2/2 + 381*v/2 + 915 = 0.
-122, -5, -1, 1
Let 2*l**2 + 438*l + 2140 = 0. Calculate l.
-214, -5
Let 2*y**5/7 - 4*y**4/7 - 22*y**3/7 + 16*y**2/7 + 40*y/7 - 32/7 = 0. Calculate y.
-2, 1, 4
Let 2*d**5/5 - 6*d**4/5 - 18*d**3/5 - 2*d**2 = 0. Calculate d.
-1, 0, 5
Suppose 2*z**2/11 + 304*z/11 - 56 = 0. Calculate z.
-154, 2
Find p, given that 28*p**5/9 - 334*p**4/9 + 496*p**3/3 - 324*p**2 + 228*p + 18 = 0.
-1/14, 3
Factor 2*x**2/5 + 3224*x/5 + 1299272/5.
2*(x + 806)**2/5
Factor -g**2/4 + 1313*g/2 - 1723969/4.
-(g - 1313)**2/4
Find d such that 3*d**2 - 168*d + 624 = 0.
4, 52
Find y such that -5*y**5 + 20*y**4 + 5*y**3 - 20*y**2 = 0.
-1, 0, 1, 4
Factor -2*w**2/19 - 116*w/19 + 118/19.
-2*(w - 1)*(w + 59)/19
Factor 14*y**2 + 8894*y + 2540.
2*(y + 635)*(7*y + 2)
Factor -2*a**4/15 - 46*a**3/15 - 182*a**2/15 + 338*a/5.
-2*a*(a - 3)*(a + 13)**2/15
Solve -2*g**4/11 - 114*g**3/11 + 22*g**2 + 354*g/11 = 0 for g.
-59, -1, 0, 3
Suppose -4*x**3 - 1072*x**2/7 - 304*x/7 = 0. What is x?
-38, -2/7, 0
Solve 9*i**2/2 + 30*i + 18 = 0 for i.
-6, -2/3
Determine i so that 5*i**2 + 1460*i - 10465 = 0.
-299, 7
Factor -3*q**3/8 - 75*q**2/8 - 39*q - 30.
-3*(q + 1)*(q + 4)*(q + 20)/8
Let 256*n**3 + 480*n**2 + 300*n + 125/2 = 0. What is n?
-5/8
What is s in -2*s**5/3 + 4*s**4 + 80*s**3/3 = 0?
-4, 0, 10
Factor -4*s**5 - 8*s**4 + 12*s**3 + 16*s**2 - 16*s.
-4*s*(s - 1)**2*(s + 2)**2
Solve -216*d**4 + 24084*d**3 - 59310*d**2 + 49175*d - 13625 = 0 for d.
5/6, 109
Find b, given that -2*b**3 - 22*b**2 - 8*b + 120 = 0.
-10, -3, 2
Suppose 4*o**5 + 60*o**4 + 272*o**3 + 384*o**2 = 0. Calculate o.
-8, -4, -3, 0
Factor -b**4/6 - 725*b**3/6 - 29161*b**2 - 6998398*b/3 + 7086244/3.
-(b - 1)*(b + 242)**3/6
Factor -2*x**3 + 352*x**2 - 15488*x.
-2*x*(x - 88)**2
What is f in f**3 - 11*f**2 + 15*f + 27 = 0?
-1, 3, 9
Determine i so that -5*i**2 + 720*i - 25920 = 0.
72
Determine h, given that h**4/5 - 3*h**3 + 62*h**2/5 - 48*h/5 = 0.
0, 1, 6, 8
Suppose -2*k**3/15 - 22*k**2/15 - 52*k/15 - 32/15 = 0. Calculate k.
-8, -2, -1
Factor -21*c**4 + 15*c**3 + 48*c**2 + 12*c.
-3*c*(c - 2)*(c + 1)*(7*c + 2)
Solve -2*d**3 - 3202*d**2 - 1283200*d - 1280000 = 0 for d.
-800, -1
Factor 8*u**5/9 - 22*u**4/9 + 2*u**3 - 2*u**2/9 - 2*u/9.
2*u*(u - 1)**3*(4*u + 1)/9
Solve 3*w**4/5 + 21*w**3 + 384*w**2/5 + 372*w/5 = 0.
-31, -2, 0
Find v such that -v**2/3 + 5*v - 26/3 = 0.
2, 13
What is l in -3*l**2 - 333*l + 336 = 0?
-112, 1
What is u in -u**4 - 17*u**3 - 75*u**2 - 103*u - 44 = 0?
-11, -4, -1
Let 3*j**3 + 81*j**2 + 72*j - 156 = 0. Calculate j.
-26, -2, 1
Factor h**3/3 + 71*h**2/3 - 74*h/3 - 48.
(h - 2)*(h + 1)*(h + 72)/3
Suppose 15*y**5 + 9*y**4 - 111*y**3 - 153*y**2 - 12*y + 36 = 0. Calculate y.
-2, -1, 2/5, 3
Factor -2*h**2 - 14*h + 16.
-2*(h - 1)*(h + 8)
Factor -3*v**5 - 3*v**4 + 6*v**3.
-3*v**3*(v - 1)*(v + 2)
Determine g, given that -5*g**4 + 155*g**3 - 1265*g**2 + 825*g + 2250 = 0.
-1, 2, 15
Let 4*k**3/5 + 168*k**2/5 + 1677*k/5 - 1849/5 = 0. What is k?
-43/2, 1
Solve -4*n**2 + 4*n + 8 = 0.
-1, 2
Solve j**2/5 + 3*j/5 - 8 = 0.
-8, 5
Solve -5*g**3 + 4755*g**2 - 1507335*g + 159275065 = 0.
317
Suppose -4*u**3 - 568*u**2 + 580*u + 1144 = 0. Calculate u.
-143, -1, 2
Factor 4*z**2 - 84*z.
4*z*(z - 21)
Determine i so that -i**5 - 35*i**4 - 31*i**3 + 103*i**2 + 32*i - 68 = 0.
-34, -2, -1, 1
Suppose -2*p**2/7 - 7708*p/7 + 7710/7 = 0. Calculate p.
-3855, 1
Suppose 8*p**5/15 + 86*p**4/15 + 154*p**3/15 - 524*p**2/15 - 152*p/5 + 48/5 = 0. What is p?
-6, -1, 1/4, 2
Solve -2*f**2 + 740*f - 738 = 0 for f.
1, 369
What is s in -10*s**4 + 34*s**3 - 12*s**2 = 0?
0, 2/5, 3
Suppose -2*z**3 - 10*z**2 - 4*z + 16 = 0. What is z?
-4, -2, 1
Factor 4*r**4 + 12*r**3 + 12*r**2 + 4*r.
4*r*(r + 1)**3
Suppose 2*a**2/3 - 26*a/3 = 0. What is a?
0, 13
Find y such that 3*y**2 - 222*y + 1407 = 0.
7, 67
Suppose 2*p**5/25 + 112*p**4/25 - 4*p**3/25 - 224*p**2/25 + 2*p/25 + 112/25 = 0. Calculate p.
-56, -1, 1
Determine q, given that -4*q**4 - 1208*q**3/5 - 3444*q**2 + 31744*q/5 + 15376/5 = 0.
-31, -2/5, 2
Determine l, given that 6*l**4 + 34*l**3 + 54*l**2 + 14*l - 12 = 0.
-3, -2, -1, 1/3
Factor -5*b**2/2 + 560*b - 31360.
-5*(b - 112)**2/2
Let v**5 + 2*v**4 - 323*v**3 + 2412*v**2 - 3564*v = 0. What is v?
-22, 0, 2, 9
Factor -2*j**2/7 - 2388*j/7 - 712818/7.
-2*(j + 597)**2/7
Determine c, given that 7*c**4/2 + 47*c**3/2 - 21*c**2/2 - 47*c/2 + 7 = 0.
-7, -1, 2/7, 1
Factor -2*w**3 + 196*w**2.
-2*w**2*(w - 98)
Let -3*v**5 - 15*v**4 + 75*v**3 + 195*v**2 - 252*v = 0. Calculate v.
-7, -3, 0, 1, 4
Factor 2*l**4/21 - 68*l**3/21 + 64*l**2/7 - 188*l/21 + 62/21.
2*(l - 31)*(l - 1)**3/21
Factor -u**5 - u**4 + 24*u**3 + 88*u**2 + 112*u + 48.
-(u - 6)*(u + 1)*(u + 2)**3
Factor -267*p**4 - 789*p**3 - 765*p**2 - 231*p + 12.
-3*(p + 1)**3*(89*p - 4)
Factor 2*p**2 + 2600*p.
2*p*(p + 1300)
Solve -4*i**4/5 - 13*i**3/5 + 21*i**2/5 + 38*i/5 + 8/5 = 0 for i.
-4, -1, -1/4, 2
Find j such that 4*j**2 + 280*j + 1056 = 0.
-66, -4
Factor i**4 + 23*i**3 + 84*i**2 - 108*i.
i*(i - 1)*(i + 6)*(i + 18)
Determine h, given that 2*h**2/7 - 66*h/7 + 460/7 = 0.
10, 23
Solve 4*d**4 - 60*d**3 + 244*d**2 - 84*d - 392 = 0.
-1, 2, 7
What is n in -n**2 - 158*n - 6241 = 0?
-79
Factor 3*s**3/10 - 4*s**2 - 62*s/5 - 32/5.
(s - 16)*(s + 2)*(3*s + 2)/10
Determine v so that -3*v**4 - 165*v**3 + 339*v**2 - 171*v = 0.
-57, 0, 1
Find f, given that 4*f**2/5 - 840*f + 220500 = 0.
525
Find x such that 2*x**2/3 + 169*x/3 + 28 = 0.
-84, -1/2
Let 20*m**4 - 556*m**3 - 112*m**2 = 0. What is m?
-1/5, 0, 28
Suppose -a**3 + 56*a**2 - 55*a = 0. What is a?
0, 1, 55
Factor -j**2 - 61*j + 126.
-(j - 2)*(j + 63)
Let -39*t**4/4 + 591*t**3/4 + 969*t**2/2 + 273*t - 54 = 0. Calculate t.
-2, 