*p**2 + 6260*p + 464.
-2*(p - 116)*(27*p + 2)
Determine r so that 2*r**4/9 - 406*r**3/9 + 20806*r**2/9 - 20402*r/9 = 0.
0, 1, 101
Factor 4*h**2 - 1908*h.
4*h*(h - 477)
What is k in k**4/4 - 19*k**3/2 - 503*k**2/4 + 279*k - 144 = 0?
-12, 1, 48
Factor -2*m**2/9 - 14*m/3 + 16.
-2*(m - 3)*(m + 24)/9
Suppose -2*t**2 - 878*t/21 + 4 = 0. What is t?
-21, 2/21
Factor m**2/2 - 60*m + 1800.
(m - 60)**2/2
Determine t so that -25*t**5 - 35*t**4 + 130*t**3 - 10*t**2 - 105*t + 45 = 0.
-3, -1, 3/5, 1
Suppose -4*r**5/3 + 200*r**4/3 - 3040*r**3/3 + 13760*r**2/3 - 24640*r/3 + 15488/3 = 0. Calculate r.
2, 22
Determine r, given that 2*r**2 - 152*r = 0.
0, 76
Find d, given that -3*d**4/8 - 3*d**3/4 + 45*d**2/2 - 69*d + 60 = 0.
-10, 2, 4
Factor -3*z**3 + 15*z**2 - 9*z - 27.
-3*(z - 3)**2*(z + 1)
Let -2*d**4 + 4*d**3 + 14*d**2 + 8*d = 0. Calculate d.
-1, 0, 4
Find j, given that j**4/2 - 6*j**3 - j**2/2 + 6*j = 0.
-1, 0, 1, 12
Determine l so that l**3 + 52*l**2 + 51*l = 0.
-51, -1, 0
Determine x, given that 4*x**3 + 68*x**2 = 0.
-17, 0
Factor f**3/2 - 2*f**2 - 19*f/2 - 7.
(f - 7)*(f + 1)*(f + 2)/2
Solve -i**2 - 57*i + 58 = 0.
-58, 1
Factor -t**2/3 + 128*t/3 - 4015/3.
-(t - 73)*(t - 55)/3
Let 2*v**2/11 - 804*v/11 + 1600/11 = 0. What is v?
2, 400
What is f in f**3/2 - 18*f**2 + 34*f = 0?
0, 2, 34
Factor z**2/2 - 5*z.
z*(z - 10)/2
What is j in 20*j**4 - 18*j**3 - 2*j**2 = 0?
-1/10, 0, 1
Factor 5*u**4 + 60*u**3 + 150*u**2 + 140*u + 45.
5*(u + 1)**3*(u + 9)
Factor 3*u**4/5 + 192*u**3 + 73866*u**2/5 - 93888*u + 717363/5.
3*(u - 3)**2*(u + 163)**2/5
Factor -3*n**3/4 + 2325*n**2.
-3*n**2*(n - 3100)/4
Determine z, given that -z**5/5 - 16*z**4/5 - 59*z**3/5 - 44*z**2/5 = 0.
-11, -4, -1, 0
Factor 5324*a**5 + 90992*a**4 + 435776*a**3 + 405760*a**2 + 139264*a + 16384.
4*(a + 8)**2*(11*a + 4)**3
Let 4*i**2 - 4072*i + 1036324 = 0. Calculate i.
509
Determine n, given that -n**2/4 - 59*n/4 + 153 = 0.
-68, 9
Suppose 7*q**3/5 + 257*q**2/5 + 178*q/5 - 72/5 = 0. Calculate q.
-36, -1, 2/7
Let -q**2 - 36*q - 243 = 0. What is q?
-27, -9
Suppose 2*i**3 - 22*i**2/5 + 4*i/5 = 0. Calculate i.
0, 1/5, 2
Let -3*s**4 + 21*s**3 - 18*s**2 - 96*s + 96 = 0. Calculate s.
-2, 1, 4
Factor -5*z**2 + 125.
-5*(z - 5)*(z + 5)
Factor 4*h**5 - 20*h**4 - 12*h**3 + 52*h**2 + 40*h.
4*h*(h - 5)*(h - 2)*(h + 1)**2
Suppose 2*f**3 - 14*f**2 + 14*f + 30 = 0. Calculate f.
-1, 3, 5
Suppose -h**4/5 - h**3 + 12*h**2/5 + 16*h + 64/5 = 0. Calculate h.
-4, -1, 4
Factor -2*p**5 - 12*p**4 + 98*p**3 - 140*p**2 - 72*p + 176.
-2*(p - 2)**3*(p + 1)*(p + 11)
Solve -2*k**5/11 + 4*k**4/11 + 4*k**3/11 - 16*k**2/11 + 14*k/11 - 4/11 = 0.
-2, 1
Determine u so that 4*u**5/3 - 5*u**4 - 80*u**3/3 - 25*u**2 - 14*u/3 = 0.
-2, -1, -1/4, 0, 7
Solve -2*x**5/3 - 10*x**4/3 - 14*x**3/3 + 2*x**2/3 + 16*x/3 + 8/3 = 0 for x.
-2, -1, 1
Determine n, given that -52*n**2 - 3336*n - 512 = 0.
-64, -2/13
Suppose -c**2/4 + 55*c/2 = 0. What is c?
0, 110
Suppose 3*f**3 - 63*f**2 + 213*f - 153 = 0. Calculate f.
1, 3, 17
Suppose -h**4 + h**3 + 3*h**2 - h - 2 = 0. What is h?
-1, 1, 2
Determine z so that -4*z**2/7 - 248*z/7 = 0.
-62, 0
Factor 5*x**4 + 135*x**3 - 620*x**2.
5*x**2*(x - 4)*(x + 31)
Determine f, given that -4*f**5 + 36*f**4 - 56*f**3 - 8*f**2 + 60*f - 28 = 0.
-1, 1, 7
Let -5*t**3/4 - 25*t**2/2 - 40*t - 40 = 0. What is t?
-4, -2
Find i, given that -2*i**3 - 80*i**2 - 616*i + 3872 = 0.
-22, 4
Find z, given that 20*z**4 - 388*z**3 + 512*z**2 - 144*z = 0.
0, 2/5, 1, 18
Find g, given that -4*g**4 - 60*g**3 - 212*g**2 - 84*g + 360 = 0.
-10, -3, 1
Factor 5*g**2 + 2150*g + 231125.
5*(g + 215)**2
Suppose 1281*l**4 + 324*l**3 - 12*l**2 = 0. What is l?
-2/7, 0, 2/61
Solve 50*p**5/9 - 130*p**4/9 - 58*p**3/9 + 194*p**2/9 + 80*p/9 + 8/9 = 0 for p.
-1, -1/5, 2
Factor 2*y**4 - 12*y**3 + 18*y**2 - 8*y.
2*y*(y - 4)*(y - 1)**2
Let q**2/4 - 19*q/4 + 35/2 = 0. Calculate q.
5, 14
Solve -686*p**5 - 29400*p**4 + 67746*p**3 + 72308*p**2 + 22008*p + 2160 = 0 for p.
-45, -2/7, 3
Let 4141225*v**2/9 + 4070*v/9 + 1/9 = 0. What is v?
-1/2035
Factor -2*u**3 + 72*u**2 + 150*u + 76.
-2*(u - 38)*(u + 1)**2
Factor -5*w**4 + 90*w**3 - 365*w**2 + 540*w - 260.
-5*(w - 13)*(w - 2)**2*(w - 1)
Factor -4*i**3 - 224*i**2 - 832*i.
-4*i*(i + 4)*(i + 52)
Factor 2*r**2 + 196*r - 2160.
2*(r - 10)*(r + 108)
Solve -y**3/8 - 329*y**2/4 + 1319*y/8 - 165/2 = 0.
-660, 1
What is p in 15*p**2 - 27096*p + 10836 = 0?
2/5, 1806
Factor 4*d**3 + 136*d**2 + 1156*d.
4*d*(d + 17)**2
Factor -4*d**2/3 - 56*d - 588.
-4*(d + 21)**2/3
Solve -z**4/2 + 21*z**3 - 157*z**2/2 + 96*z - 38 = 0 for z.
1, 2, 38
Let -x**2/2 - 231*x + 464 = 0. What is x?
-464, 2
Factor -4*z**4 - 32*z**3 - 64*z**2.
-4*z**2*(z + 4)**2
Determine l, given that 5*l**4 - 25*l**3 + 45*l**2 - 35*l + 10 = 0.
1, 2
Factor q**5 - 10*q**4 + 32*q**3 - 38*q**2 + 15*q.
q*(q - 5)*(q - 3)*(q - 1)**2
Factor -t**2/2 + 6*t.
-t*(t - 12)/2
Factor d**5 - 22*d**4 + 60*d**3 - 58*d**2 + 19*d.
d*(d - 19)*(d - 1)**3
What is s in -s**2/3 + 103*s/3 - 194 = 0?
6, 97
Solve k**5/5 + 166*k**4/5 + 1344*k**3 - 14112*k**2/5 = 0.
-84, 0, 2
Factor -7*d**3 - 2*d**2.
-d**2*(7*d + 2)
Determine k so that -361227*k**2 + 4164*k - 12 = 0.
2/347
Factor 2*a**2/15 - 26*a/15 + 24/5.
2*(a - 9)*(a - 4)/15
Suppose 5*n**2 + 435*n - 440 = 0. What is n?
-88, 1
Find k, given that k**5/8 + 3*k**4/8 - 31*k**3/8 - 11*k**2/8 + 39*k/4 + 7 = 0.
-7, -1, 2, 4
Factor -35*u**4 + 320*u**3 - 990*u**2 + 1080*u - 135.
-5*(u - 3)**3*(7*u - 1)
Factor -3*l**2 + 8598*l - 6160467.
-3*(l - 1433)**2
Let 5*h**5/4 + 9*h**4/4 - 17*h**3/4 + 3*h**2/4 = 0. Calculate h.
-3, 0, 1/5, 1
Determine i so that -6*i**3 - 675*i**2 - 2307*i - 1962 = 0.
-109, -2, -3/2
What is w in -w**2/8 + w/8 + 5/2 = 0?
-4, 5
Solve 2*m**3 - 94*m**2 - 194*m - 98 = 0 for m.
-1, 49
Factor -25*q**3 - 10*q**2 + 1225*q + 490.
-5*(q - 7)*(q + 7)*(5*q + 2)
Factor u**4/5 - 28*u**3/5 + 27*u**2/5 + 2916*u/5 - 2916/5.
(u - 18)**2*(u - 1)*(u + 9)/5
Let -6*k**4/5 - 64*k**3/5 - 142*k**2/5 - 116*k/5 - 32/5 = 0. Calculate k.
-8, -1, -2/3
Solve -2*j**5/5 + 22*j**4/5 + 62*j**3/5 - 118*j**2/5 - 156*j/5 = 0.
-3, -1, 0, 2, 13
Solve -1445*f**5 + 8330*f**4 + 38145*f**3 + 34630*f**2 + 6620*f + 360 = 0.
-2, -1, -2/17, 9
Determine u, given that 14*u**4/5 - 184*u**3 + 11146*u**2/5 - 1448*u - 600 = 0.
-2/7, 1, 15, 50
Factor 8*b**3 + 228*b**2 - 912*b - 512.
4*(b - 4)*(b + 32)*(2*b + 1)
Factor 2*q**3 - 26*q**2 + 32*q + 384.
2*(q - 8)**2*(q + 3)
Factor 5*a**5 + 35*a**4 + 95*a**3 + 125*a**2 + 80*a + 20.
5*(a + 1)**3*(a + 2)**2
Factor -337842*v**3 - 1010238*v**2 + 9856*v - 24.
-2*(v + 3)*(411*v - 2)**2
Determine q so that -q**5/5 - 9*q**4/5 + 47*q**3/5 - 63*q**2/5 + 26*q/5 = 0.
-13, 0, 1, 2
Factor -b**4 + 51*b**3 - 622*b**2 - 780*b + 1352.
-(b - 26)**2*(b - 1)*(b + 2)
Factor -3*o**3 + 10446*o**2.
-3*o**2*(o - 3482)
Determine f so that 16*f**4/3 + 284*f**3/3 + 408*f**2 - 108*f = 0.
-9, 0, 1/4
Factor 4*a**5 - 24*a**4 - 12*a**3 + 80*a**2 - 48*a.
4*a*(a - 6)*(a - 1)**2*(a + 2)
Let -4*d**4 - 64*d**3 - 252*d**2 - 368*d - 176 = 0. What is d?
-11, -2, -1
Solve -4*g**4 + 76*g**3 - 312*g**2 + 464*g - 224 = 0.
1, 2, 14
What is d in 4*d**5 + 4*d**4 - 12*d**3 - 20*d**2 - 8*d = 0?
-1, 0, 2
What is z in -4*z**2 - 100*z = 0?
-25, 0
Factor l**2/6 + 23*l/3 + 529/6.
(l + 23)**2/6
Determine t so that 2*t**3/7 - 948*t**2/7 = 0.
0, 474
Determine y so that 2*y**5 + 82*y**4 + 564*y**3 + 1220*y**2 + 1066*y + 330 = 0.
-33, -5, -1
Factor -5*r**2 + 245*r.
-5*r*(r - 49)
Factor -x**4 + 10*x**3 + 48*x**2 - 122*x + 65.
-(x - 13)*(x - 1)**2*(x + 5)
Factor -3*v**2 - 285*v - 828.
-3*(v + 3)*(v + 92)
Let 4*k**3/5 + 24*k**2/5 - 16*k/5 - 96/5 = 0. What is k?
-6, -2, 2
Factor 2*d**4/5 + 46*d**3/5.
2*d**3*(d + 23)/5
Determine s so that 12*s**2 - 951*s + 237 = 0.
1/4, 79
Factor 4*s**4 + 2328*s**3 + 309636*s**2 - 8464608*s + 52881984.
4*(s - 12)**2*(s + 303)**2
Factor -4*d**3 + 204*d**2 - 584*d + 384.
-4*(d - 48)*(d - 2)*(d - 1)
Determine i so that 1058*i**5/7 - 2024*i**4/7 + 858*i**3/7 + 124*i**2/7 - 16*i/7 = 0.
-4/23, 0, 2/23, 1
Let 260*z**3 - 540*z**2 - 285*z + 25 = 0. What is z?
-1/2, 1/13, 5/2
Factor 2*w**2/17 - 8*w/17 - 42/17.
2*(w - 7)*(w + 3)/17
Factor 4*p**2/3 + 506*p/3 - 254/3.
2*(p + 127)*(2*p - 1)/3
Find p such that p**3 - 9*p**2 - 66*p - 56 = 0.
-4, -1, 14
Solve -40*x**3 - 460*x**2 - 3045*x/2 - 2205/2 = 0.
-21/4, -1