h**5 - 308*h**4 - 140*h**3 + 804*h**2 + 496*h - 80 = 0.
-1, 2/15, 2, 5
Suppose -4*k**4 + 9136*k**3 - 7824984*k**2 + 2978710576*k - 425210934724 = 0. Calculate k.
571
Determine f, given that 356*f**5/3 + 120*f**4 + 31*f**3 + f**2/3 = 0.
-1/2, -1/89, 0
Factor -12*q**3 + 32*q**2 + 164*q - 120.
-4*(q - 5)*(q + 3)*(3*q - 2)
Let -d**3 - 19*d**2 + 120*d = 0. What is d?
-24, 0, 5
Factor 430*a**2/3 + 872*a/9 + 8/9.
2*(3*a + 2)*(215*a + 2)/9
Factor 16*c**2 + 4044*c - 1012.
4*(c + 253)*(4*c - 1)
Factor -3*z**4 - 24*z**3 - 45*z**2 + 12*z + 60.
-3*(z - 1)*(z + 2)**2*(z + 5)
Solve -2*z**5/3 + 76*z**4/3 - 524*z**3/3 - 1488*z**2 + 3402*z - 1764 = 0 for z.
-6, 1, 21
Factor -46*k**3 + 2*k**2 + 46*k - 2.
-2*(k - 1)*(k + 1)*(23*k - 1)
Solve 75*t**5 - 240*t**4 + 72*t**3 + 192*t**2 + 48*t = 0.
-2/5, 0, 2
Determine h so that 1875*h**3 - 1675*h**2 - 584*h/3 - 16/3 = 0.
-4/75, 1
Factor y**3 - 387*y**2 + 49923*y - 2146689.
(y - 129)**3
Factor -2*m**4/7 - 18*m**3/7 - 40*m**2/7 - 24*m/7.
-2*m*(m + 1)*(m + 2)*(m + 6)/7
Determine t, given that 2*t**4 - 140*t**3 + 2584*t**2 - 4624*t = 0.
0, 2, 34
What is t in t**2 - 167*t - 168 = 0?
-1, 168
Determine s, given that 2*s**5/9 + 2*s**4/3 + 4*s**3/9 = 0.
-2, -1, 0
Solve p**2 + 30*p + 56 = 0.
-28, -2
Find c such that -2*c**5/9 + 4*c**4 - 58*c**3/9 - 112*c**2/9 + 88*c/3 - 128/9 = 0.
-2, 1, 2, 16
Solve -65*r**5/2 - 135*r**4 - 20*r**3 + 520*r**2 + 600*r + 80 = 0 for r.
-2, -2/13, 2
What is u in 3*u**3/5 + 423*u**2/5 = 0?
-141, 0
Let -4*y**3 - 396*y**2 + 2484*y - 3780 = 0. Calculate y.
-105, 3
Determine b so that 2*b**2/7 + 2*b = 0.
-7, 0
Determine n so that -2*n**5/5 - 277*n**4/5 + 141*n**3 - n**2 - 703*n/5 + 282/5 = 0.
-141, -1, 1/2, 1, 2
Suppose -4*u**5 + 92*u**4 - 760*u**3 + 2632*u**2 - 3332*u + 1372 = 0. Calculate u.
1, 7
Solve 2*q**3/5 + 166*q**2/5 - 512*q/5 + 344/5 = 0.
-86, 1, 2
Find d, given that 338*d**5/5 - 364*d**4/5 - 214*d**3/5 + 168*d**2/5 + 72*d/5 = 0.
-6/13, 0, 1
What is s in -4*s**4 + 332*s**2 + 648*s + 320 = 0?
-8, -1, 10
Find i such that 5*i**5 + 80*i**4 - 200*i**3 - 320*i**2 + 720*i = 0.
-18, -2, 0, 2
Factor 2*i**2 - 716*i - 1440.
2*(i - 360)*(i + 2)
Factor -3*d**5 + 57*d**4 - 357*d**3 + 735*d**2.
-3*d**2*(d - 7)**2*(d - 5)
Suppose -2*p**5 - 30*p**4 + 292*p**3 - 384*p**2 - 704*p = 0. Calculate p.
-22, -1, 0, 4
Factor 5*a**3 + 1530*a**2 + 3045*a + 1520.
5*(a + 1)**2*(a + 304)
Factor 4*h**5 - 16*h**4 - 24*h**3 + 64*h**2 + 116*h + 48.
4*(h - 4)*(h - 3)*(h + 1)**3
Factor -3*z**2 - 114*z - 720.
-3*(z + 8)*(z + 30)
Let 4*b**2/5 + 1240*b + 12384/5 = 0. What is b?
-1548, -2
Solve -f**2/9 - 20*f/9 + 7/3 = 0.
-21, 1
Determine p so that -128*p**3 + 362*p**2 - 190*p - 44 = 0.
-11/64, 1, 2
Solve -w**4/9 + 154*w**3/9 + 52*w**2/3 - 154*w/9 - 155/9 = 0 for w.
-1, 1, 155
Factor -2*p**2 - 30*p - 52.
-2*(p + 2)*(p + 13)
Find i, given that i**2 - 75*i + 476 = 0.
7, 68
Factor -5*s**3 - 25*s**2 - 30*s.
-5*s*(s + 2)*(s + 3)
Determine b, given that -11*b**3 + 2*b**2 + 11*b - 2 = 0.
-1, 2/11, 1
Determine r so that r**5/5 - 68*r**4/5 - r**3/5 + 68*r**2/5 = 0.
-1, 0, 1, 68
Factor -y**3/2 + 21*y**2/2 + 441*y/2 + 1715/2.
-(y - 35)*(y + 7)**2/2
Determine v, given that v**2/9 + 4*v/9 - 4/3 = 0.
-6, 2
Let -3*u**4/4 + 1022*u**3 - 464442*u**2 + 70491672*u - 46788332 = 0. Calculate u.
2/3, 454
What is r in -3*r**5 + 51*r**4 + 12*r**3 - 204*r**2 = 0?
-2, 0, 2, 17
Determine w so that -4*w**5 + 336*w**4 - 2152*w**3 - 336*w**2 + 2156*w = 0.
-1, 0, 1, 7, 77
Factor 5*k**4 - 4230*k**3 + 894645*k**2.
5*k**2*(k - 423)**2
Factor -4*y**3 + 252*y**2 - 924*y - 1180.
-4*(y - 59)*(y - 5)*(y + 1)
Factor -n**4/7 - 628*n**3/7 - 627*n**2/7.
-n**2*(n + 1)*(n + 627)/7
Suppose 10*s**3 - 1764*s**2 - 1066*s + 708 = 0. Calculate s.
-1, 2/5, 177
Determine f, given that 6*f**4 + 64*f**3 - 86*f**2 - 1704*f - 1080 = 0.
-9, -6, -2/3, 5
Factor -15*r**4 - 861*r**3 - 16587*r**2 - 109383*r - 41154.
-3*(r + 19)**3*(5*r + 2)
Suppose n**3 - 10*n**2 - 81*n + 90 = 0. Calculate n.
-6, 1, 15
Factor 4*i**3 - 788*i**2 + 784*i.
4*i*(i - 196)*(i - 1)
Factor s**3/3 - 5*s**2/3 - 4*s/3 + 20/3.
(s - 5)*(s - 2)*(s + 2)/3
Solve -27*p**4/5 + 1464*p**3/5 - 351*p**2 + 318*p/5 = 0 for p.
0, 2/9, 1, 53
Determine w, given that w**4/2 - 13*w**2/2 + 6*w = 0.
-4, 0, 1, 3
Let -9*b**3/4 - 21*b**2/4 - 4*b - 1 = 0. Calculate b.
-1, -2/3
Factor -3*r**3 + 117*r**2 - 954*r + 840.
-3*(r - 28)*(r - 10)*(r - 1)
Determine q, given that q**2/5 + 1334*q/5 + 444889/5 = 0.
-667
Factor -r**3/4 + 4*r**2 + 35*r/4 + 9/2.
-(r - 18)*(r + 1)**2/4
Factor -116*p**2 + 456*p + 32.
-4*(p - 4)*(29*p + 2)
Suppose -5*z**2 - 45*z + 50 = 0. What is z?
-10, 1
Suppose -g**4/3 - 29*g**3/6 + 5*g**2/2 = 0. What is g?
-15, 0, 1/2
Factor 2*v**3/7 - 16*v**2/7 + 24*v/7.
2*v*(v - 6)*(v - 2)/7
Factor 2*h**3 - 14*h**2 + 12*h.
2*h*(h - 6)*(h - 1)
Determine f, given that 3*f**4 - 3*f**3 - 9*f**2 + 15*f - 6 = 0.
-2, 1
Let a**5/4 + 131*a**4/2 + 16897*a**3/4 - 8646*a**2 + 4356*a = 0. What is a?
-132, 0, 1
Factor -4*b**5 - 4*b**4 + 8*b**3 + 8*b**2 - 4*b - 4.
-4*(b - 1)**2*(b + 1)**3
Factor 2*c**3/9 + 64*c**2/9 + 266*c/9 - 1444/3.
2*(c - 6)*(c + 19)**2/9
Determine z so that z**3/8 - 13*z**2/8 - 15*z/4 = 0.
-2, 0, 15
Let 3*q**3/7 - 129*q**2/7 - 2568*q/7 - 348 = 0. What is q?
-14, -1, 58
Determine i, given that 5*i**2 - 30*i - 35 = 0.
-1, 7
Find v, given that -2*v**4/3 + 4*v**3/3 - 2*v**2/3 = 0.
0, 1
Factor 2*k**3 + 220*k**2 + 214*k - 436.
2*(k - 1)*(k + 2)*(k + 109)
Factor -4*a**4 - 100*a**3 + 104*a**2.
-4*a**2*(a - 1)*(a + 26)
Factor -6*o**3 - 4*o**2 + 10*o + 8.
-2*(o + 1)**2*(3*o - 4)
Determine p so that 4*p**4/5 + 304*p**3/5 - 124*p**2 + 312*p/5 = 0.
-78, 0, 1
Factor 250*m**4/17 + 43200*m**3/17 + 77220*m**2/17 + 46224*m/17 + 9234/17.
2*(m + 171)*(5*m + 3)**3/17
Factor 2*p**2 - 54*p + 324.
2*(p - 18)*(p - 9)
Find d, given that 2*d**2 + 336*d + 14112 = 0.
-84
Factor -5*z**2 - 745*z + 1510.
-5*(z - 2)*(z + 151)
Factor 2*l**2/11 - 156*l/11 - 320/11.
2*(l - 80)*(l + 2)/11
Find m, given that -25*m**5/3 - 70*m**4 - 605*m**3/3 - 760*m**2/3 - 140*m - 80/3 = 0.
-4, -2, -1, -2/5
Find h, given that h**5/3 - 4*h**3/3 + 2*h**2/3 + h - 2/3 = 0.
-2, -1, 1
Factor -5*x**2 + 90*x - 405.
-5*(x - 9)**2
Factor 4*v**2 - 8*v.
4*v*(v - 2)
Determine d, given that -5*d**2 + 205*d + 210 = 0.
-1, 42
Factor -2*j**4 + 60*j**3 - 114*j**2 + 56*j.
-2*j*(j - 28)*(j - 1)**2
Find j, given that -j**3/6 - 7*j**2/3 = 0.
-14, 0
Find g, given that 3*g**2/4 + 207*g - 4215/4 = 0.
-281, 5
What is w in -4*w**2 + 36*w + 144 = 0?
-3, 12
Determine o, given that 4*o**4/5 - 1287*o**3/5 + 104638*o**2/5 - 35712*o - 10240 = 0.
-1/4, 2, 160
What is y in -4*y**3 + 1560*y**2/7 - 3072*y - 896 = 0?
-2/7, 28
Find v, given that 2*v**4 + 8*v**3 - 266*v**2 + 904*v - 840 = 0.
-15, 2, 7
Solve -2*b**2/5 - 6*b/5 = 0.
-3, 0
Factor 2*g**5 - 8*g**4 + 28*g**2 - 34*g + 12.
2*(g - 3)*(g - 1)**3*(g + 2)
Factor g**4/5 - 57*g**3/5 + 891*g**2/5 - 2187*g/5.
g*(g - 27)**2*(g - 3)/5
Factor -4*m**2 - 36*m - 80.
-4*(m + 4)*(m + 5)
Find c such that -4*c**3 + 112*c**2 - 640*c = 0.
0, 8, 20
Determine b so that b**4/3 - 6*b**3 + 5*b**2 + 34*b/3 = 0.
-1, 0, 2, 17
Find j, given that -j**5 - 96*j**4 - 977*j**3 - 3638*j**2 - 5820*j - 3400 = 0.
-85, -5, -2
Factor -x**2 + 8*x + 84.
-(x - 14)*(x + 6)
What is u in 4*u**4 + 8*u**3 - 76*u**2 + 112*u - 48 = 0?
-6, 1, 2
Find t such that t**2/3 + 8*t + 119/3 = 0.
-17, -7
Factor -w**4/2 - 2*w**3 + 3*w**2/2 + 5*w - 4.
-(w - 1)**2*(w + 2)*(w + 4)/2
Factor a**5 + 69*a**4 - 4*a**3 - 276*a**2.
a**2*(a - 2)*(a + 2)*(a + 69)
What is z in -z**4/6 + 49*z**3/6 - 87*z**2 - 962*z/3 - 676/3 = 0?
-2, -1, 26
Suppose -i**4/6 + i**2/2 - i/3 = 0. Calculate i.
-2, 0, 1
Solve 93*n**3/7 - 2*n**2/7 = 0.
0, 2/93
Suppose -14*h**2 + 570*h + 164 = 0. What is h?
-2/7, 41
Factor 7*t**5 - 26*t**4 + 13*t**3 + 6*t**2.
t**2*(t - 3)*(t - 1)*(7*t + 2)
Let -2*y**5/7 - 146*y**4/7 - 388*y**3 - 1168*y**2/7 + 24768*y/7 - 20736/7 = 0. Calculate y.
-36, -4, 1, 2
Solve 35*j**5 - 955*j**4 - 7185*j**3 + 19735*j**2 - 14270*j + 2640 = 0.
-8, 2/7, 1, 33
Suppose -4*k**4 - 56*k**3 - 52*k**2 = 0. What is k?
-13, -1, 0
Solve -d**5/2 + 28*d**4 + 3*d**3 - 164*d**2 - 445*d/2 - 84 = 0 for d.
-1, 3, 56
Factor g**3/3 + 40*g**2/3 + 77*g/3 + 38/3.
(g + 1)**2*(g + 38)/3
Factor -k**2 + 87*k - 1880.
-(k - 47)*(k - 40)
Suppose d**2 + 32*d + 256 = 0. Calculate