, 1, 39
Let r**4/7 + 4*r**3/7 - 5*r**2/7 = 0. Calculate r.
-5, 0, 1
Factor 3*d**2 + 33*d + 30.
3*(d + 1)*(d + 10)
Find v, given that -3*v**4 + 27*v**3 - 87*v**2 + 117*v - 54 = 0.
1, 2, 3
Solve -p**3/5 - 14*p**2/5 + 69*p/5 - 54/5 = 0 for p.
-18, 1, 3
Let 5*o**4 + 465*o**3 + 11475*o**2 + 30375*o = 0. Calculate o.
-45, -3, 0
Factor 15*a**2/8 + 69*a/4 - 15.
3*(a + 10)*(5*a - 4)/8
Factor -2*j**2 + 334*j - 332.
-2*(j - 166)*(j - 1)
Find z such that -3*z**5/7 + 81*z**4/7 - 702*z**3/7 + 1986*z**2/7 - 495*z/7 - 3267/7 = 0.
-1, 3, 11
Solve -25*k**4 - 385*k**3 - 1950*k**2 - 3520*k - 1120 = 0 for k.
-7, -4, -2/5
Solve 2*z**3/7 - 22*z**2 - 314*z/7 - 158/7 = 0 for z.
-1, 79
Factor -5*g**4 + 275*g**3 - 265*g**2 - 275*g + 270.
-5*(g - 54)*(g - 1)**2*(g + 1)
What is j in -3*j**3/8 + 381*j**2/8 - 888*j - 86247/2 = 0?
-21, 74
Factor 5*c**4 + 65*c**3 + 240*c**2 + 340*c + 160.
5*(c + 1)*(c + 2)**2*(c + 8)
Let 2*j**2/15 - 134*j/15 + 52/3 = 0. What is j?
2, 65
Find d such that -4*d**5 + 15*d**4 + 244*d**3 - 964*d**2 + 768*d + 256 = 0.
-8, -1/4, 2, 8
Suppose 2*t**4/13 - 22*t**3/13 + 84*t**2/13 - 136*t/13 + 80/13 = 0. What is t?
2, 5
Solve 5*b**2 - 180*b = 0.
0, 36
Factor g**4/4 - 3*g**3/2 - 25*g**2/4 - 9*g/2.
g*(g - 9)*(g + 1)*(g + 2)/4
Solve 2*m**2 - 6*m = 0 for m.
0, 3
Let -3*g**3/10 - 1513*g**2/10 + 1011*g/10 + 101/2 = 0. Calculate g.
-505, -1/3, 1
Find b such that -2*b**5 + 592*b**4/7 - 904*b**3 + 1172*b**2/7 + 906*b - 252 = 0.
-1, 2/7, 1, 21
Let i**5 + 19*i**4 - 158*i**3 - 1378*i**2 + 4445*i + 28175 = 0. Calculate i.
-23, -5, 7
Factor 36*r**3/5 + 16*r**2 + 16*r/5.
4*r*(r + 2)*(9*r + 2)/5
Let j**5/8 - j**4/8 - j**3/8 + j**2/8 = 0. Calculate j.
-1, 0, 1
Factor -g**5/3 - 29*g**4/3 - 62*g**3 - 394*g**2/3 - 341*g/3 - 35.
-(g + 1)**3*(g + 5)*(g + 21)/3
Find o, given that -5*o**2 + 165*o - 310 = 0.
2, 31
Factor v**3/2 + 375*v**2/2 + 46875*v/2 + 1953125/2.
(v + 125)**3/2
Factor -c**2/2 + 12*c - 23/2.
-(c - 23)*(c - 1)/2
Determine u so that -100*u**5 + 1320*u**4 + 1115*u**3 + 75*u**2 - 70*u = 0.
-1/2, 0, 1/5, 14
Let -7*d**5/2 - 13*d**4 + 48*d**3 + 77*d**2 - 457*d/2 + 120 = 0. What is d?
-5, -3, 1, 16/7
Factor -17*w**3/10 - 7*w**2 - 38*w/5 - 4/5.
-(w + 2)**2*(17*w + 2)/10
Solve -2*j**4/13 - 2*j**3/13 + 28*j**2/13 + 48*j/13 = 0 for j.
-3, -2, 0, 4
Factor -p**4/5 + 26*p**3/5 - 28*p**2 - 392*p/5.
-p*(p - 14)**2*(p + 2)/5
Find j, given that -j**4/3 - 107*j**3/3 = 0.
-107, 0
Let -k**2 + 4386*k - 4809249 = 0. What is k?
2193
Find k such that -k**3 + 8*k**2 + 9*k = 0.
-1, 0, 9
Factor 5*x**2/2 + 5*x/2 - 15.
5*(x - 2)*(x + 3)/2
Suppose -24*s**5 - 428*s**4 + 76*s**3 + 72*s**2 = 0. What is s?
-18, -1/3, 0, 1/2
Factor 2*n**2/3 - 2180*n/3 + 594050/3.
2*(n - 545)**2/3
Factor 3*t**4/5 + 18*t**3/5 - 9*t**2/5 - 12*t - 36/5.
3*(t - 2)*(t + 1)**2*(t + 6)/5
Factor -2*a**2/9 + 554*a/9.
-2*a*(a - 277)/9
Factor -35*s**2 - 1240*s - 525.
-5*(s + 35)*(7*s + 3)
Solve 2*g**5 - 18*g**4 + 46*g**3 - 30*g**2 = 0.
0, 1, 3, 5
Solve v**5 - 2*v**3 + v = 0.
-1, 0, 1
Determine o, given that -2*o**2 + 130*o + 3612 = 0.
-21, 86
Find d such that -3*d**3 - d**2 = 0.
-1/3, 0
Solve 2*s**3/7 - 46*s**2/7 + 44*s/7 = 0.
0, 1, 22
Determine c, given that -c**4/7 + 53*c**3/7 - 540*c**2/7 + 2032*c/7 - 2624/7 = 0.
4, 41
Factor -10*i**3 + 2885*i**2 - 205900*i - 315375.
-5*(i - 145)**2*(2*i + 3)
Determine m so that 2*m**2/13 + 492*m/13 + 2410/13 = 0.
-241, -5
Factor 2*j**3/17 + 10*j**2/17 + 16*j/17 + 8/17.
2*(j + 1)*(j + 2)**2/17
Let 2*l**3/11 + 52*l**2/11 - 450*l/11 + 36 = 0. What is l?
-33, 1, 6
Factor -y**4 + 594*y**3 - 88801*y**2 + 175824*y - 87616.
-(y - 296)**2*(y - 1)**2
Suppose 4*h**2 + 192*h - 400 = 0. What is h?
-50, 2
Factor 4*i**2 + 76*i + 352.
4*(i + 8)*(i + 11)
Let -5*t**2 - 50*t - 80 = 0. Calculate t.
-8, -2
Factor 2*k**4 + 10*k**3 + 16*k**2 + 8*k.
2*k*(k + 1)*(k + 2)**2
Factor 4*j**4 - 692*j**3 + 4056*j**2 - 8048*j + 5344.
4*(j - 167)*(j - 2)**3
Let -n**5 - 3*n**4 + n**3 + 3*n**2 = 0. Calculate n.
-3, -1, 0, 1
Find c, given that 2*c**3/9 + 2*c**2/9 - 4*c/9 = 0.
-2, 0, 1
Factor -h**2 + 98*h/5 + 8.
-(h - 20)*(5*h + 2)/5
Solve 5*s**5/2 + 133*s**4/2 + 431*s**3/2 + 391*s**2/2 - 2*s - 46 = 0.
-23, -2, -1, 2/5
Suppose -3*y**5/5 + 22*y**4/5 - 4*y**3/5 - 22*y**2/5 + 7*y/5 = 0. What is y?
-1, 0, 1/3, 1, 7
Factor y**3/4 + 21*y**2/4 + 9*y/2 - 10.
(y - 1)*(y + 2)*(y + 20)/4
Factor k**4/3 - 14*k**3/3 + 15*k**2 - 52*k/3 + 20/3.
(k - 10)*(k - 2)*(k - 1)**2/3
Determine i, given that i**2/3 + 235*i + 704/3 = 0.
-704, -1
Factor i**4/4 - 309*i**3/4 + 77*i**2.
i**2*(i - 308)*(i - 1)/4
Factor 2*y**4 - 130*y**3 + 2556*y**2 - 12992*y - 15680.
2*(y - 28)**2*(y - 10)*(y + 1)
Factor 2*q**5/13 + 110*q**4/13 - 342*q**3/13 + 346*q**2/13 - 116*q/13.
2*q*(q - 1)**3*(q + 58)/13
Determine t so that -2*t**3/3 - 8*t**2 + 758*t/3 - 468 = 0.
-27, 2, 13
Let -3*d**4 + 540*d**3 - 1047*d**2 - 3726*d - 2136 = 0. What is d?
-1, 4, 178
Factor l**2/4 - 9*l/4 + 2.
(l - 8)*(l - 1)/4
Suppose -3*p**3 + 141*p**2 = 0. What is p?
0, 47
Find l, given that -4*l**5/9 - 26*l**4/9 - 44*l**3/9 + 8*l**2/9 + 16*l/3 + 2 = 0.
-3, -1, -1/2, 1
Let 8*y**2 + 4*y - 12 = 0. Calculate y.
-3/2, 1
Factor -4*v**2 - 16*v + 84.
-4*(v - 3)*(v + 7)
Factor -2*d**4/3 - 16*d**3/3 - 10*d**2/3 + 28*d/3.
-2*d*(d - 1)*(d + 2)*(d + 7)/3
Suppose -4*x**5/5 - 12*x**4/5 + 8*x**3/5 + 24*x**2/5 - 4*x/5 - 12/5 = 0. Calculate x.
-3, -1, 1
Factor -2*a**5 - 188*a**4 - 6110*a**3 - 74700*a**2 - 189000*a + 270000.
-2*(a - 1)*(a + 5)*(a + 30)**3
Factor 2*t**3 - 2*t**2 - 4*t.
2*t*(t - 2)*(t + 1)
Suppose -2*u**2/7 + 230*u/7 + 468/7 = 0. What is u?
-2, 117
Find m, given that -3*m**5/8 - 81*m**4/8 + 183*m**3/8 + 261*m**2/8 = 0.
-29, -1, 0, 3
Find g such that -98*g**4/9 - 3808*g**3 - 92542*g**2/9 - 27784*g/3 - 2776 = 0.
-347, -1, -6/7
Find g such that 2*g**5 - 137*g**4/2 - 53*g**3 + 35*g**2/2 = 0.
-1, 0, 1/4, 35
Suppose -117*h**5 - 278*h**4 + 25*h**3 + 270*h**2 + 92*h + 8 = 0. What is h?
-2, -1, -2/9, -2/13, 1
Factor 3*p**4/4 + 42*p**3 - 3*p**2 - 168*p.
3*p*(p - 2)*(p + 2)*(p + 56)/4
Factor 4*c**3 + 68*c**2 + 56*c - 128.
4*(c - 1)*(c + 2)*(c + 16)
Factor a**4 + 2*a**3 - 104*a**2 + 192*a.
a*(a - 8)*(a - 2)*(a + 12)
Let -8*x**4 - 372*x**3 - 4416*x**2 - 2116*x = 0. Calculate x.
-23, -1/2, 0
What is h in 2*h**5/5 - 4*h**4/5 - 18*h**3/5 + 36*h**2/5 = 0?
-3, 0, 2, 3
Find y, given that -8*y**3/7 - 18*y**2 + 320*y/7 - 72/7 = 0.
-18, 1/4, 2
Factor -2*b**2/21 - 848*b/21 - 1688/21.
-2*(b + 2)*(b + 422)/21
Factor 2*m**3/3 - 526*m**2/3 + 4112*m/3 - 2720.
2*(m - 255)*(m - 4)**2/3
Factor -2*g**4 + 690*g**3 - 688*g**2.
-2*g**2*(g - 344)*(g - 1)
Factor -2*w**4/5 + 8*w**3 - 74*w**2/5 + 36*w/5.
-2*w*(w - 18)*(w - 1)**2/5
Determine d so that 4*d**2/3 - 4802*d/9 + 800/9 = 0.
1/6, 400
Suppose -5*h**4 - 3110*h**3 - 3100*h**2 + 3110*h + 3105 = 0. Calculate h.
-621, -1, 1
Factor -108*f**4 - 252*f**3 - 75*f**2 - 6*f.
-3*f*(f + 2)*(6*f + 1)**2
Factor 4*t**4 + 272*t**3 - 1740*t**2 + 2664*t.
4*t*(t - 3)**2*(t + 74)
Solve -2*o**5/3 - 64*o**4/3 - 220*o**3 - 1936*o**2/3 + 2662*o/3 = 0 for o.
-11, 0, 1
Suppose g**4/6 + 13*g**3/6 - 29*g**2/6 + 5*g/2 = 0. Calculate g.
-15, 0, 1
Let 12*b**4 + 10*b**3 - 26*b**2 + 4*b = 0. What is b?
-2, 0, 1/6, 1
Let 3*o**5 - 24*o**4 + 42*o**3 + 60*o**2 - 117*o - 108 = 0. What is o?
-1, 3, 4
Factor 2*d**2/17 - 70*d/17 + 392/17.
2*(d - 28)*(d - 7)/17
Solve -2*k**2 + 34*k - 32 = 0.
1, 16
Suppose 2*z**3/3 - 14*z**2 + 66*z + 242/3 = 0. What is z?
-1, 11
Let 4*j**3 + 3540*j**2 + 1044300*j + 102689500 = 0. What is j?
-295
Determine y, given that 3*y**5/2 + 27*y**4 - 15*y**3 - 2592*y**2 - 26973*y/2 - 10935 = 0.
-9, -1, 10
Suppose 14*j**4 - 8*j**3 - 1560*j**2/7 + 128*j - 128/7 = 0. What is j?
-4, 2/7, 4
Factor -4*x**2 + 16.
-4*(x - 2)*(x + 2)
Let 5*r**5 + 975*r**4 + 3845*r**3 + 4785*r**2 + 1910*r = 0. What is r?
-191, -2, -1, 0
Solve -2*t**4/15 + 6*t**3/5 + 124*t**2/15 + 72*t/5 + 112/15 = 0 for t.
-2, -1, 14
Factor -2*f**4/9 + 8*f**3/3 - 10*f**2 + 100*f/9.
-2*f*(f - 5)**2*(f - 2)/9
Factor -5*o**3 - 65*o**2 - 200*o - 180.
-5*(o + 2)**2*(o + 9)
Factor 2*m**3/5 - 6*m**2/5 + 4*m/5.
2*m*(m - 2)*(m - 1)/5
Determine p so that -2*p**4 - 130*p**3 - 254*p**2 - 126*p = 0.
-63, -1, 0
Find r, given that 4*r**2 + 176*r + 1740 = 0.
-29, -15
Find g such that -3*g**3 + 99*g**2 + 432*g - 25920 = 0.
-15, 24
Let -2*n**3 - 6*n**2 - 4*n = 