 -q**2/5 + 6*q/5 - 1 = 0.
1, 5
Find p, given that -2*p**4 + 74*p**3 + 80*p**2 - 152*p = 0.
-2, 0, 1, 38
Solve -2*p**4/11 - 532*p**3/11 - 34842*p**2/11 + 71288*p/11 - 35912/11 = 0 for p.
-134, 1
Let j**2 + 2*j - 80 = 0. Calculate j.
-10, 8
Let 3*v**3/2 + 27*v**2 + 45*v/2 - 51 = 0. What is v?
-17, -2, 1
Suppose -5*i**4 + 355*i**3 - 6810*i**2 + 18020*i - 11560 = 0. What is i?
1, 2, 34
Factor 2*z**2/15 + 854*z/5 + 512/3.
2*(z + 1)*(z + 1280)/15
Determine g so that 3*g**5/2 - 3*g**4 - 75*g**3/2 + 75*g**2 + 216*g - 432 = 0.
-4, -3, 2, 3, 4
Let -84*j**3/11 + 6*j**2 + 18*j/11 = 0. Calculate j.
-3/14, 0, 1
Find p such that -p**3/6 + 77*p**2/6 + 160*p/3 + 54 = 0.
-2, 81
Let -4*j**4 + 70*j**3 - 242*j**2 + 104*j = 0. What is j?
0, 1/2, 4, 13
Factor 3*w**3 + 126*w**2 + 1323*w.
3*w*(w + 21)**2
What is a in 15*a**4/4 - 1505*a**3/4 + 11675*a**2/2 + 193285*a + 126150 = 0?
-15, -2/3, 58
Find y, given that 625*y**4 - 8125*y**3 + 33925*y**2 - 40215*y - 22050 = 0.
-2/5, 21/5, 5
Find t, given that -9000*t**3 + 24004*t**2 + 26968*t/3 - 4 = 0.
-1/3, 1/2250, 3
Let s**2/7 + 6*s/7 = 0. Calculate s.
-6, 0
Factor -2*n**2/5 + 6*n/5 - 4/5.
-2*(n - 2)*(n - 1)/5
Let -2*z**5/7 + 3*z**4/7 + 6*z**3/7 - 5*z**2/7 - 6*z/7 = 0. Calculate z.
-1, 0, 3/2, 2
Let u**2 + 34*u + 33 = 0. What is u?
-33, -1
Solve 3*c**3/4 + 459*c**2/4 + 114*c = 0 for c.
-152, -1, 0
Solve -4*g**5 - 672*g**4 - 32340*g**3 - 332024*g**2 = 0 for g.
-77, -14, 0
Determine z so that -z**2/10 - 4*z - 72/5 = 0.
-36, -4
Find c, given that 2*c**4/7 - 8*c**3/7 + 2*c**2/7 + 12*c/7 = 0.
-1, 0, 2, 3
Let -4*p**3 - 68*p**2 - 220*p - 156 = 0. What is p?
-13, -3, -1
Solve -s**4/2 - 10*s**3 + 48*s**2 = 0 for s.
-24, 0, 4
Factor a**4/2 + 15*a**3/2 + 2*a**2 - 210*a + 200.
(a - 4)*(a - 1)*(a + 10)**2/2
Determine y so that -7*y**4 - 9*y**3 + 33*y**2 - 11*y - 6 = 0.
-3, -2/7, 1
Factor -4*l**3/5 - 1892*l**2/5 - 45308*l - 132540.
-4*(l + 3)*(l + 235)**2/5
Factor -4*q**2 + 352*q - 7744.
-4*(q - 44)**2
Factor -2*r**2/7 - 5528*r/7 - 3819848/7.
-2*(r + 1382)**2/7
What is s in -4*s**4 - 380*s**3 - 2860*s**2 - 6660*s - 4176 = 0?
-87, -4, -3, -1
Factor -2*d**2 + 26*d - 72.
-2*(d - 9)*(d - 4)
Solve 2*b**3/3 - 5102*b**2/9 + 1085450*b/9 - 361250/9 = 0.
1/3, 425
Factor 2*n**4 + 18*n**3 + 50*n**2 + 54*n + 20.
2*(n + 1)**2*(n + 2)*(n + 5)
Suppose 12*a**5/5 - 8*a**4 + 24*a**3/5 + 32*a**2/5 - 36*a/5 + 8/5 = 0. Calculate a.
-1, 1/3, 1, 2
Factor c**3/8 + 21*c**2/4 + 81*c/8 + 5.
(c + 1)**2*(c + 40)/8
Determine c, given that -4*c**5 + 24*c**4 + 60*c**3 - 464*c**2 - 192*c + 2304 = 0.
-3, 4
Suppose -2*j**2/11 - 74*j/11 + 56 = 0. What is j?
-44, 7
Find w, given that -2*w**3 - 26*w**2 - 94*w - 70 = 0.
-7, -5, -1
Factor -c**5 + 2*c**4 + 2*c**3 - 4*c**2 - c + 2.
-(c - 2)*(c - 1)**2*(c + 1)**2
Determine y, given that y**2/2 + 74*y - 150 = 0.
-150, 2
Factor -11*n**2 + 139*n + 52.
-(n - 13)*(11*n + 4)
Let 4*c**4/11 + 574*c**3/11 + 852*c**2/11 - 2*c/11 - 284/11 = 0. Calculate c.
-142, -1, 1/2
Factor 4*f**2/5 - 2988*f/5 - 2992/5.
4*(f - 748)*(f + 1)/5
Factor -2*f**3/9 + 9704*f**2/9 - 11780650*f/9 + 23522500/9.
-2*(f - 2425)**2*(f - 2)/9
Let -2*r**2/7 + 13148*r/7 - 21608738/7 = 0. Calculate r.
3287
Determine n so that -3*n**3 + 354*n**2 - 696*n = 0.
0, 2, 116
Determine g so that 4*g**3 - 108*g**2 - 244*g + 348 = 0.
-3, 1, 29
Factor 2*v**2/17 + 202*v/17 + 396/17.
2*(v + 2)*(v + 99)/17
Factor -3*g**3 + 27*g**2 + 336*g.
-3*g*(g - 16)*(g + 7)
Solve -7*g**2/3 - 394*g/3 - 112/3 = 0.
-56, -2/7
Determine x so that 5*x**5/3 + 10*x**4 + 15*x**3 - 20*x**2/3 - 20*x = 0.
-3, -2, 0, 1
Solve 2*f**5 - 104*f**4 - 688*f**3 - 476*f**2 + 686*f + 580 = 0.
-5, -1, 1, 58
Find x, given that -15*x**2/2 + 3445*x/2 - 1145 = 0.
2/3, 229
Let 2*b**4/7 - 12*b**3/7 - 146*b**2/7 + 12*b/7 + 144/7 = 0. Calculate b.
-6, -1, 1, 12
Factor -a**2 + 35*a.
-a*(a - 35)
Factor 3*s**2/4 - 3*s - 24.
3*(s - 8)*(s + 4)/4
Solve -51*n**2 - 198*n + 24 = 0 for n.
-4, 2/17
Let -4*x**3 + 804*x**2 + 3268*x + 2460 = 0. Calculate x.
-3, -1, 205
Let -3*g**5 - 47*g**4 + 456*g**3 + 2712*g**2 + 4112*g + 1680 = 0. What is g?
-21, -2, -2/3, 10
Determine p, given that 2*p**5/7 - 2*p**4 - 54*p**3/7 - 58*p**2/7 - 20*p/7 = 0.
-1, 0, 10
Factor 5*s**5 - 25*s**4 + 40*s**3 - 20*s**2.
5*s**2*(s - 2)**2*(s - 1)
Determine h, given that 3*h**3/4 + 9*h**2/4 - 33*h/2 - 18 = 0.
-6, -1, 4
Determine p so that 3*p**2 - 20*p - 32 = 0.
-4/3, 8
Find p such that 3*p**5/5 - 23*p**4/5 + 2*p**3 + 6*p**2 - 13*p/5 - 7/5 = 0.
-1, -1/3, 1, 7
Factor -q**3 - 542*q**2 - 73980*q - 145800.
-(q + 2)*(q + 270)**2
Factor -30*w**2 - 99*w - 27.
-3*(w + 3)*(10*w + 3)
Factor 35*m**3 + 170*m**2 + 260*m + 120.
5*(m + 2)**2*(7*m + 6)
Solve 38*y**3/9 + 118*y**2/3 + 412*y/9 + 32/3 = 0 for y.
-8, -1, -6/19
Factor -s**5 - 941*s**4 - 3754*s**3 - 5626*s**2 - 3749*s - 937.
-(s + 1)**4*(s + 937)
Factor -3*r**4 - 27*r**3 - 72*r**2 - 60*r.
-3*r*(r + 2)**2*(r + 5)
Suppose m**3/5 + 3*m**2 + 27*m/5 + 13/5 = 0. What is m?
-13, -1
Let 3*s**5/2 - 27*s**3 + 48*s**2 - 45*s/2 = 0. Calculate s.
-5, 0, 1, 3
Factor 5*h**3/6 + 15*h**2/2 - 90.
5*(h - 3)*(h + 6)**2/6
Let 2*v**5 + 124*v**4 + 156*v**3 - 61208*v**2 + 121442*v - 60516 = 0. What is v?
-41, 1, 18
Factor 2*o**2/5 + 168*o/5 + 166/5.
2*(o + 1)*(o + 83)/5
Determine i, given that -i**5 - i**4 + i**3 + i**2 = 0.
-1, 0, 1
Let -30*w**5 - 278*w**4 - 34*w**3 + 350*w**2 + 64*w - 72 = 0. What is w?
-9, -1, -2/3, 2/5, 1
Factor -5*z**3 + 75*z**2 - 360*z + 560.
-5*(z - 7)*(z - 4)**2
Factor j**2/4 + 73*j - 293/4.
(j - 1)*(j + 293)/4
Find j such that 20*j**3 - 1132*j**2 + 4744*j + 2080 = 0.
-2/5, 5, 52
What is u in -u**3/4 - 157*u**2/4 = 0?
-157, 0
Suppose 174*p**2 - 100*p + 14 = 0. What is p?
7/29, 1/3
Let -2*u**4/19 - 2*u**3/19 + 6*u**2/19 + 2*u/19 - 4/19 = 0. Calculate u.
-2, -1, 1
Solve -2*x**5/13 + 18*x**4/13 + 6*x**3/13 - 58*x**2/13 + 36*x/13 = 0 for x.
-2, 0, 1, 9
Factor -2*t**2/17 + 18*t/17.
-2*t*(t - 9)/17
Find v, given that 14*v**4 - 232*v**3 + 7176*v**2/7 - 3712*v/7 + 512/7 = 0.
2/7, 8
Factor 3*a**3 + 1071*a**2 + 127449*a + 5055477.
3*(a + 119)**3
Find r such that r**2/2 - 4*r - 9/2 = 0.
-1, 9
Solve 5*m**3 + 60*m**2 - 380*m - 960 = 0 for m.
-16, -2, 6
Factor -3*y**3/7 + 303*y**2/7 - 597*y/7 + 297/7.
-3*(y - 99)*(y - 1)**2/7
Suppose -4*p**2/3 + 76*p/3 - 361/3 = 0. What is p?
19/2
Let h**5 + 52*h**4 + 150*h**3 + 148*h**2 + 49*h = 0. What is h?
-49, -1, 0
Solve 4*g**2 - 440*g + 864 = 0.
2, 108
Factor u**2/4 - 14*u - 177/4.
(u - 59)*(u + 3)/4
Factor 8*b**2/5 + 146*b/5 + 36/5.
2*(b + 18)*(4*b + 1)/5
Find t such that 5*t**2 - 1410*t + 99405 = 0.
141
Factor 5*i**3 + 650*i**2 + 14060*i - 492840.
5*(i - 18)*(i + 74)**2
Factor 5*v**3 - 155*v**2 + 295*v - 145.
5*(v - 29)*(v - 1)**2
Determine k, given that 2*k**3 + 56*k**2 - 248*k + 256 = 0.
-32, 2
Find x, given that -5*x**2 - 1620*x + 1625 = 0.
-325, 1
Find b such that -4*b**3/3 + 4*b/3 = 0.
-1, 0, 1
Factor 289*d**3 + 1173*d**2 + 1560*d + 676.
(d + 1)*(17*d + 26)**2
Solve -175*o**5 + 2570*o**4/3 - 1305*o**3 + 1610*o**2/3 + 100*o - 40/3 = 0 for o.
-1/5, 2/21, 1, 2
Let 2*j**3/3 - 34*j**2 - 812*j/3 = 0. What is j?
-7, 0, 58
Suppose -1004*n**4 - 4024*n**3 - 5052*n**2 - 2048*n - 16 = 0. What is n?
-2, -1, -2/251
Suppose 3*j**2 + 36126*j + 108757323 = 0. What is j?
-6021
Factor -f**2 - 18*f + 144.
-(f - 6)*(f + 24)
Let 10*x**4 - 15*x**3 - 115*x**2 + 60*x = 0. What is x?
-3, 0, 1/2, 4
Suppose -g**3/9 + 11*g**2/9 - 26*g/9 + 16/9 = 0. Calculate g.
1, 2, 8
Let -s**5/6 + s**4/6 + s**3/3 = 0. Calculate s.
-1, 0, 2
Suppose -c**4 + 2*c**3 + c**2 - 2*c = 0. Calculate c.
-1, 0, 1, 2
Solve -v**4/5 - 4*v**3/5 - v**2 - 2*v/5 = 0 for v.
-2, -1, 0
Factor -5*t**3/4 - 25*t**2/2 - 30*t.
-5*t*(t + 4)*(t + 6)/4
Suppose -2*v**5/3 + 122*v**4/3 + 512*v**3/3 + 520*v**2/3 = 0. Calculate v.
-2, 0, 65
Suppose -3*n**2/2 - 669*n - 149187/2 = 0. What is n?
-223
Find k, given that 3*k**3 + 12*k**2 + 15*k + 6 = 0.
-2, -1
Factor -4*k**2/5 - 1936*k/5 - 234256/5.
-4*(k + 242)**2/5
Find k such that -2*k**2/11 - 8276*k/11 - 8561522/11 = 0.
-2069
Factor -2*y**2/11 + 1762*y/11.
-2*y*(y - 881)/11
Determine j, given that 12*j**5 + 447*j**4 + 4431*j**3 + 4968*j**2 + 972*j = 0.
-18, -1, -1/4, 0
Suppose 2*f**5 - 6*f**4 - 44*f**3 + 180*f**2 - 54*f - 270 = 0. What is f?
-5, -1, 3
Factor -o**2/3 + 56*o/3 + 147.
-(o - 63)*(o + 7)/3
Let 2*f**2/5 + 12