l - 1)*(201*l + 1)
Determine p so that 2*p**2/17 + 604*p/17 - 606/17 = 0.
-303, 1
Solve 50*l**3 - 120*l**2 + 72*l = 0 for l.
0, 6/5
Find b, given that 4*b**2/5 + 72*b/5 - 76/5 = 0.
-19, 1
Determine f, given that -14*f**5/3 - 48*f**4 + 128*f**3/3 + 188*f**2/3 - 38*f - 44/3 = 0.
-11, -1, -2/7, 1
Factor -12*w**3 - 57*w**2/4 - 9*w/4.
-3*w*(w + 1)*(16*w + 3)/4
Factor -2*q**2 + 542*q - 540.
-2*(q - 270)*(q - 1)
Factor -2*w**3/9 + 1034*w**2/9 - 44720*w/3 + 14792.
-2*(w - 258)**2*(w - 1)/9
Factor -f**3/2 - 2*f**2 + 7*f/2 + 5.
-(f - 2)*(f + 1)*(f + 5)/2
Factor -k**2 + 657*k.
-k*(k - 657)
Suppose 3087*r**3 + 22050*r**2 + 52500*r + 125000/3 = 0. What is r?
-50/21
Determine s, given that -s**4/4 + 47*s**3/4 - 104*s**2 - 845*s = 0.
-5, 0, 26
Solve -2*d**5/11 - 2*d**4/11 + 10*d**3/11 + 10*d**2/11 - 8*d/11 - 8/11 = 0.
-2, -1, 1, 2
Let 4*v**4 - 16*v**3 - 167*v**2 - 129*v + 108 = 0. Calculate v.
-4, -3/2, 1/2, 9
Find q, given that -2*q**3 - 106*q**2 - 1456*q - 1352 = 0.
-26, -1
Determine h, given that 5*h**3 - 470*h**2 - 475*h = 0.
-1, 0, 95
Factor -3*i**4 - 27*i**3 + 108*i**2 - 12*i - 144.
-3*(i - 2)**2*(i + 1)*(i + 12)
Find s, given that 2*s**4/3 + 14*s**3/3 - 26*s**2/3 - 158*s/3 + 56 = 0.
-7, -4, 1, 3
Factor 2*s**2 + 12*s - 14.
2*(s - 1)*(s + 7)
Let -t**3 - 63*t**2 = 0. What is t?
-63, 0
Let 8*y**4/7 + 50*y**3/7 + 114*y**2/7 + 16*y + 40/7 = 0. Calculate y.
-2, -5/4, -1
Find j, given that 5*j**2 + 14170*j + 10039445 = 0.
-1417
Factor 5*c**2 + 610*c.
5*c*(c + 122)
Factor -3*q**4/7 + 9*q**3/7 + 18*q**2 + 300*q/7 + 216/7.
-3*(q - 9)*(q + 2)**3/7
Factor 2*i**3/3 - 68*i**2/3 + 226*i - 684.
2*(i - 19)*(i - 9)*(i - 6)/3
What is c in 3*c**4 + 153*c**3 + 291*c**2 - 153*c - 294 = 0?
-49, -2, -1, 1
Let 2*z**4/9 - 2*z**3 - 22*z**2/9 + 2*z + 20/9 = 0. Calculate z.
-1, 1, 10
Suppose w**3/2 + w**2/2 - w/2 - 1/2 = 0. What is w?
-1, 1
Factor s**2/3 + 2*s/3 - 35/3.
(s - 5)*(s + 7)/3
Suppose z**2/9 + 368*z/9 + 33856/9 = 0. Calculate z.
-184
Suppose -5*d**3 - 330*d**2 - 315*d + 650 = 0. What is d?
-65, -2, 1
Factor -5*x**3 + 25*x**2 + 30*x.
-5*x*(x - 6)*(x + 1)
Let 146*j**2 - 12*j = 0. What is j?
0, 6/73
Determine n so that -n**3/2 + 44*n**2 - 968*n = 0.
0, 44
What is l in 2*l**2/3 + 336*l + 4000/3 = 0?
-500, -4
Find d, given that 4*d**5 + 68*d**4 - 320*d**3 + 336*d**2 = 0.
-21, 0, 2
Factor -5*x**2 - 65*x.
-5*x*(x + 13)
Factor -4*n**3 + 8*n**2 - 4*n.
-4*n*(n - 1)**2
Factor -4*x**3 + 184*x**2 + 3164*x + 11760.
-4*(x - 60)*(x + 7)**2
Let 3*v**3/5 - 7803*v**2/5 + 6765201*v/5 - 1955143089/5 = 0. Calculate v.
867
Suppose 2*p**4/5 + 126*p**3/5 + 1214*p**2/5 + 738*p + 520 = 0. Calculate p.
-52, -5, -1
Suppose -w**3/4 + 132*w**2 - 17685*w + 68644 = 0. Calculate w.
4, 262
Solve 5*w**5 + 1600*w**4 + 168500*w**3 + 5605200*w**2 - 24494400*w + 25194240 = 0.
-108, 2
Factor -r**3/3 - 4*r**2/3.
-r**2*(r + 4)/3
Solve -36*v**5 - 60*v**4 + 59*v**3 + 58*v**2 - 23*v + 2 = 0 for v.
-2, -1, 1/6, 1
Factor -27*d**5 + 291*d**4 + 66*d**3.
-3*d**3*(d - 11)*(9*d + 2)
Find n, given that -10*n**5/13 - 244*n**4/13 - 746*n**3/13 - 680*n**2/13 - 168*n/13 = 0.
-21, -2, -1, -2/5, 0
Suppose 3*t**4/5 + 33*t**3/5 = 0. What is t?
-11, 0
Solve -2*f**2/9 + 280*f/3 - 9800 = 0 for f.
210
Suppose -h**3/2 + 775*h**2 - 1549*h/2 = 0. What is h?
0, 1, 1549
Factor -2*z**2 + 2*z.
-2*z*(z - 1)
Factor k**2/3 + 157*k/3.
k*(k + 157)/3
Find l, given that 11*l**5/4 - 7*l**4/4 - l**3 = 0.
-4/11, 0, 1
Factor -4*z**3/7 - 60*z**2/7 + 904*z/7 - 2400/7.
-4*(z - 6)*(z - 4)*(z + 25)/7
Factor 50*m**4 - 21*m**3 - 2*m**2.
m**2*(2*m - 1)*(25*m + 2)
Factor -4*y**2 - 1260*y + 1264.
-4*(y - 1)*(y + 316)
Factor -p**4/9 - 34*p**3/9 - 80*p**2/3 - 382*p/9 - 175/9.
-(p + 1)**2*(p + 7)*(p + 25)/9
Let 3*b**2 + 132*b + 1152 = 0. What is b?
-32, -12
Suppose 4*a**3 - 52*a - 48 = 0. Calculate a.
-3, -1, 4
Find y, given that -y**5/4 + y**4 + 35*y**3/4 - 5*y**2/2 - 26*y - 16 = 0.
-4, -1, 2, 8
Factor 15*j**3 - 55*j**2 - 10*j + 120.
5*(j - 3)*(j - 2)*(3*j + 4)
Let -2*x**2/15 + 3976*x/5 - 5928216/5 = 0. What is x?
2982
Determine l so that -5*l**4 - 75*l**3 - 135*l**2 - 65*l = 0.
-13, -1, 0
Determine b so that -2*b**3/3 - 266*b**2 = 0.
-399, 0
Factor -a**5/4 - 6*a**4 - 48*a**3 - 128*a**2.
-a**2*(a + 8)**3/4
Factor -5*w**2 - 15*w - 10.
-5*(w + 1)*(w + 2)
Factor -2*i**5/15 + 14*i**4/15 - 2*i**3 + 6*i**2/5.
-2*i**2*(i - 3)**2*(i - 1)/15
Factor -u**2/3 - 328*u/3 - 325.
-(u + 3)*(u + 325)/3
Factor -3*f**2 + 6*f + 45.
-3*(f - 5)*(f + 3)
Suppose -2*n**5/3 + 23*n**4/3 - 89*n**3/3 + 137*n**2/3 - 89*n/3 + 20/3 = 0. What is n?
1/2, 1, 4, 5
Determine k, given that -k**3 - 1206*k**2 = 0.
-1206, 0
Determine s so that 140*s**3 - 16224*s**2 - 1872*s + 1856 = 0.
-2/5, 2/7, 116
Let -2*a**5 + 8*a**4 + 24*a**3 + 4*a**2 - 22*a - 12 = 0. What is a?
-1, 1, 6
Suppose -4*k**5 - 12*k**4 + 12*k**3 + 44*k**2 + 24*k = 0. Calculate k.
-3, -1, 0, 2
Determine c so that -c**2/4 - 651*c/4 = 0.
-651, 0
Factor -9*h**4 + 48*h**3 - 15*h**2.
-3*h**2*(h - 5)*(3*h - 1)
Determine u so that 2*u**3 + 24*u**2 - 26*u = 0.
-13, 0, 1
Factor 18*p**5 + 276*p**4 + 344*p**3 + 112*p**2.
2*p**2*(p + 14)*(3*p + 2)**2
Solve -x**3/9 = 0 for x.
0
What is y in -6*y**5/11 - 186*y**4/11 - 1140*y**3/11 + 4596*y**2/11 - 4998*y/11 + 1734/11 = 0?
-17, 1
Suppose 3*w**4/5 + 66*w**3/5 + 75*w**2 + 312*w/5 = 0. What is w?
-13, -8, -1, 0
Factor 9*a**3/7 - 66*a**2 + 604*a/7 - 200/7.
(a - 50)*(3*a - 2)**2/7
Factor 15*w**2 + 355*w + 230.
5*(w + 23)*(3*w + 2)
Factor -5*s**4 - 55*s**3 - 190*s**2 - 260*s - 120.
-5*(s + 1)*(s + 2)**2*(s + 6)
Factor 2*n**3/3 + 608*n**2 + 184832*n + 56188928/3.
2*(n + 304)**3/3
Factor 3*i**5 + 9*i**4 - 9*i**3 - 33*i**2 - 18*i.
3*i*(i - 2)*(i + 1)**2*(i + 3)
Factor -k**3/3 - 100*k**2/3 - 896*k - 3072.
-(k + 4)*(k + 48)**2/3
Find w, given that -2*w**5/5 - 12*w**4/5 - 12*w**3/5 + 32*w**2/5 + 6*w - 36/5 = 0.
-3, -2, 1
Find p such that -2*p**5 + 88*p**4 - 326*p**3 + 240*p**2 = 0.
0, 1, 3, 40
Find z such that -z**4/3 - 74*z**3/3 - 95*z**2 - 352*z/3 - 140/3 = 0.
-70, -2, -1
Factor 3*h**5 + 45*h**4.
3*h**4*(h + 15)
Find h, given that -h**4/3 - 2*h**3 - 4*h**2 - 10*h/3 - 1 = 0.
-3, -1
Find y such that 4*y**4 + 108*y**3 - 136*y**2 - 672*y = 0.
-28, -2, 0, 3
Suppose 2*w**2/5 - 28*w/5 - 414/5 = 0. Calculate w.
-9, 23
Solve 4*w**4/5 + 10*w**3 + 68*w**2/5 + 22*w/5 = 0 for w.
-11, -1, -1/2, 0
Factor -2*u**3/3 - 16*u**2/3 - 14*u - 12.
-2*(u + 2)*(u + 3)**2/3
Suppose 5*r**4 + 45*r**3 + 10*r**2 - 420*r + 360 = 0. What is r?
-6, 1, 2
Factor -2*l**3 + 14*l**2 - 28*l + 16.
-2*(l - 4)*(l - 2)*(l - 1)
Find z, given that 25*z**5 - 45*z**4 - 110*z**3 + 30*z**2 + 85*z + 15 = 0.
-1, -1/5, 1, 3
Factor -2*w**2/9 - 124*w/9 + 256/9.
-2*(w - 2)*(w + 64)/9
Let z**4/7 + 121*z**3/7 + 5217*z**2/7 + 91723*z/7 + 506530/7 = 0. What is z?
-37, -10
Determine l so that -54*l**2/7 - 15*l + 6/7 = 0.
-2, 1/18
Factor -n**2 - 4*n - 3.
-(n + 1)*(n + 3)
Solve m**5/2 + 13*m**4/4 - 2*m**3 - 7*m**2/4 = 0 for m.
-7, -1/2, 0, 1
Factor 4*l**4 + 76*l**3 + 152*l**2 - 640*l.
4*l*(l - 2)*(l + 5)*(l + 16)
Find f such that 2*f**2 + 22*f - 624 = 0.
-24, 13
Factor -4*c**3/5 + 8372*c**2/5 - 4384832*c/5 + 4376464/5.
-4*(c - 1046)**2*(c - 1)/5
Factor -c**3/8 - c**2 - 9*c/8 + 9/4.
-(c - 1)*(c + 3)*(c + 6)/8
Factor 6*j**2 - 7786*j + 5188.
2*(j - 1297)*(3*j - 2)
Factor m**2/8 + 3*m/4 + 1.
(m + 2)*(m + 4)/8
Factor -4*q**4 + 144*q**3 - 532*q**2 + 648*q - 256.
-4*(q - 32)*(q - 2)*(q - 1)**2
Factor -4*m**2 - 108*m - 104.
-4*(m + 1)*(m + 26)
Find y such that -8*y**5 + 584*y**4 + 598*y**3 - 440*y**2 - 298*y + 148 = 0.
-1, 1/2, 74
Factor 2*v**3/7 - 10*v**2/7 - 116*v/7 - 176/7.
2*(v - 11)*(v + 2)*(v + 4)/7
Factor a**2/2 + 1635*a/2 + 817.
(a + 1)*(a + 1634)/2
Factor -2*w**2/7 + 24*w/7 + 26/7.
-2*(w - 13)*(w + 1)/7
Factor 5*v**3 + 165*v**2 - 20*v - 660.
5*(v - 2)*(v + 2)*(v + 33)
Solve 16*b**5 + 72*b**4 + 49*b**3 - 84*b**2 - 47*b - 6 = 0 for b.
-3, -2, -1/4, 1
Suppose 4*m**5 + 644*m**4 + 2536*m**3 + 3784*m**2 + 2516*m + 628 = 0. What is m?
-157, -1
Factor -3*z**3 - 36*z**2 - 33*z.
-3*z*(z + 1)*(z + 11)
Let 2*k**5/17 - 104*k**4/17 - 216*k**3/17 = 0. Calculate k.
-2, 0, 54
Factor -3*q**2/5 - 12*q + 63/5.
-3*(q - 1)*(q + 21)/5
Factor -5*g**4 - 5*g**3 + 315*g**2 - 1215*g + 1350.
-5*(g - 3)**3*(g + 10)
Factor -2*m**4/13 - 62*m**3/13 + 198*m**2/13 - 202*m/13 + 68/13.
-2*(m - 1)**3*(m + 34