r -3*i**3/7 - 333*i**2/7 - 978*i/7 - 648/7.
-3*(i + 1)*(i + 2)*(i + 108)/7
Find b such that -8*b**3 + 12*b**2 + 68*b + 48 = 0.
-3/2, -1, 4
Factor 4*z**4 + 16*z**3 - 84*z**2 + 16*z + 112.
4*(z - 2)**2*(z + 1)*(z + 7)
Factor 2*a**4/3 - 14*a**3 + 68*a**2 - 376*a/3 + 80.
2*(a - 15)*(a - 2)**3/3
Find o such that o**5 + 6*o**4 - 15*o**3 - 100*o**2 = 0.
-5, 0, 4
Factor -20*x**3 + 118*x**2 + 152*x + 14.
-2*(x - 7)*(x + 1)*(10*x + 1)
Factor c**3 + 31*c**2 + 219*c + 189.
(c + 1)*(c + 9)*(c + 21)
Let -3*j**2 - 108*j - 960 = 0. What is j?
-20, -16
Determine g, given that -17*g**2/2 - 28*g - 22 = 0.
-2, -22/17
Suppose 6*n**2/7 + 396*n/7 + 390/7 = 0. Calculate n.
-65, -1
Let -o**2/3 + 1157*o/3 - 1156/3 = 0. Calculate o.
1, 1156
Find i, given that i**4/4 + 51*i**3/4 + 143*i**2/4 - 51*i/4 - 36 = 0.
-48, -3, -1, 1
Factor 5*h**4 - 30*h**3 + 65*h**2 - 60*h + 20.
5*(h - 2)**2*(h - 1)**2
Factor -w**3 - 102*w**2 - 2700*w - 5000.
-(w + 2)*(w + 50)**2
Find l, given that -623*l**4 - 2389*l**3/3 - 172*l**2 + 4*l/3 = 0.
-1, -2/7, 0, 2/267
Factor g**3/2 - g**2/2 - 10*g.
g*(g - 5)*(g + 4)/2
Find j, given that -2*j**3 + 7*j**2 - 3*j = 0.
0, 1/2, 3
Find t such that 3*t**5/4 - 6*t**4 + 39*t**3/4 + 39*t**2/2 - 48*t + 24 = 0.
-2, 1, 4
Determine p, given that -3*p**2/5 + 651*p/5 - 648/5 = 0.
1, 216
Solve -3*h**5 - 18*h**4 + 6*h**3 + 36*h**2 - 3*h - 18 = 0.
-6, -1, 1
Factor 3*g**3/2 + 15*g**2 + 27*g/2.
3*g*(g + 1)*(g + 9)/2
Factor -5*a**2 - 50*a + 855.
-5*(a - 9)*(a + 19)
Factor -v**2/3 + 212*v/3 - 11236/3.
-(v - 106)**2/3
Factor 2*x**3/9 - 10*x**2/9 + 4*x/3.
2*x*(x - 3)*(x - 2)/9
Determine y, given that y**2/7 + 132*y/7 - 160 = 0.
-140, 8
Factor -a**2/9 - 38*a/9 - 361/9.
-(a + 19)**2/9
Find k such that 18*k**2 - 8259*k - 1377 = 0.
-1/6, 459
Factor -t**4/3 - 31*t**3/3 + 73*t**2/3 + 235*t/3 + 44.
-(t - 4)*(t + 1)**2*(t + 33)/3
Find q, given that 4*q**4 - 72*q**3 - 76*q**2 = 0.
-1, 0, 19
Factor -21*g**3 - 531*g**2 - 654*g - 144.
-3*(g + 1)*(g + 24)*(7*g + 2)
What is a in -32*a**4 - 740*a**3 + 1508*a**2 + 200*a = 0?
-25, -1/8, 0, 2
Factor o**5 - 4*o**4 + 4*o**3 + 2*o**2 - 5*o + 2.
(o - 2)*(o - 1)**3*(o + 1)
Factor -1058*j**3/13 - 368*j**2/13 - 32*j/13.
-2*j*(23*j + 4)**2/13
Factor 3*i**2 + 2790*i + 2787.
3*(i + 1)*(i + 929)
Find x such that x**5/2 - 19*x**4/2 + 12*x**3 + 360*x**2 = 0.
-5, 0, 12
Determine y, given that y**3 + 101*y**2 + 199*y + 99 = 0.
-99, -1
Factor g**4/7 - 243*g**3/7 + 15803*g**2/7 - 125073*g/7 + 109512/7.
(g - 117)**2*(g - 8)*(g - 1)/7
Factor -3*y**3 + 8091*y**2 - 7273809*y + 2179718097.
-3*(y - 899)**3
Factor 3*x**4/5 - 3*x**3/5 - 126*x**2/5.
3*x**2*(x - 7)*(x + 6)/5
Let -3*l**2 - 21*l + 684 = 0. Calculate l.
-19, 12
Determine i so that -5*i**2 + 3570*i + 7160 = 0.
-2, 716
Factor 16*p**3/11 - 266*p**2/11 - 580*p/11 - 298/11.
2*(p + 1)**2*(8*p - 149)/11
Determine v, given that -15*v**3/2 - 429*v**2 - 8751*v/2 - 858 = 0.
-44, -13, -1/5
Factor -c**2/3 - 7*c/3 - 2.
-(c + 1)*(c + 6)/3
Determine y so that -2*y**5/5 + 2*y**4 - 6*y**3/5 - 18*y**2/5 = 0.
-1, 0, 3
Factor -3*t**3 - 24*t**2 - 21*t.
-3*t*(t + 1)*(t + 7)
Factor -2*l**3 - 7*l**2 + 257*l + 130.
-(l - 10)*(l + 13)*(2*l + 1)
Factor -d**3 + d**2 + 4*d - 4.
-(d - 2)*(d - 1)*(d + 2)
Suppose h**5/3 - 125*h**4/6 + 59*h**3/6 + 187*h**2/6 - 61*h/6 - 31/3 = 0. Calculate h.
-1, -1/2, 1, 62
Solve -15*n**3 - 115*n**2 - 185*n + 75 = 0.
-5, -3, 1/3
Factor -s**3/5 - 39*s**2/5 + 261*s/5 - 81.
-(s - 3)**2*(s + 45)/5
Factor r**3/6 + 7*r**2/2.
r**2*(r + 21)/6
Suppose -2*w**4 - 16*w**3 + 114*w**2 - 200*w + 104 = 0. What is w?
-13, 1, 2
Suppose y**2/4 - 259*y + 67081 = 0. Calculate y.
518
Factor 405*c**3/2 - 13680*c**2 - 6110*c - 680.
5*(c - 68)*(9*c + 2)**2/2
Factor -2*i**3/9 - 2*i**2/3 + 4*i + 80/9.
-2*(i - 4)*(i + 2)*(i + 5)/9
Factor -2*f**4 + 22*f**3 - 328*f - 448.
-2*(f - 8)*(f - 7)*(f + 2)**2
Factor 5*a**2 - 605.
5*(a - 11)*(a + 11)
Factor 2*j**4 - 8*j**3 + 4*j**2 + 8*j - 6.
2*(j - 3)*(j - 1)**2*(j + 1)
Determine o, given that 3*o**4/8 - 255*o**3/8 + 747*o**2/8 - 741*o/8 + 123/4 = 0.
1, 82
Factor 3*h**3/4 + 39*h**2/4 + 105*h/4 - 147/4.
3*(h - 1)*(h + 7)**2/4
Factor -2*j**3 - 28*j**2 - 70*j - 44.
-2*(j + 1)*(j + 2)*(j + 11)
Determine q so that -2*q**2/3 + 36*q - 486 = 0.
27
Factor 4*z**4 + 24*z**3 - 32*z**2 - 24*z + 28.
4*(z - 1)**2*(z + 1)*(z + 7)
Factor -3*f**2 + 18*f - 27.
-3*(f - 3)**2
Factor -2*c**3/3 + 34*c**2/3 + 76*c/3.
-2*c*(c - 19)*(c + 2)/3
Find q, given that q**4/3 - 47*q**3/3 + 122*q**2 - 928*q/3 + 608/3 = 0.
1, 4, 38
Factor -8*o**4 + 58*o**3 - 138*o**2 + 108*o.
-2*o*(o - 3)*(o - 2)*(4*o - 9)
Let -2*y**2/5 + 192*y/5 - 4608/5 = 0. What is y?
48
Suppose h**2 + 3*h + 2 = 0. What is h?
-2, -1
Let c**5/7 + 6*c**4/7 - 46*c**3/7 + 92*c**2/7 - 75*c/7 + 22/7 = 0. Calculate c.
-11, 1, 2
Solve -9*u**5/5 + 33*u**4 + 2013*u**3/5 + 2931*u**2/5 - 2208*u - 1620 = 0.
-5, -2/3, 2, 27
Factor 20*a**3 + 297*a**2 - 47*a - 30.
(a + 15)*(4*a + 1)*(5*a - 2)
Find w, given that 2*w**2/17 - 24*w/17 - 26/17 = 0.
-1, 13
Factor 2*d**3/19 + 6*d**2/19 - 8*d/19 - 24/19.
2*(d - 2)*(d + 2)*(d + 3)/19
Let 36*w**3/5 + 20*w**2 + 48*w/5 - 16/5 = 0. What is w?
-2, -1, 2/9
Factor y**3 + 153*y**2 + 2760*y + 13300.
(y + 10)**2*(y + 133)
Determine u, given that -35*u**4/2 - 755*u**3/6 - 490*u**2/3 + 760*u/3 + 160/3 = 0.
-4, -4/21, 1
Determine p so that 2*p**5/9 - 28*p**4/9 - 4*p**3 + 80*p**2/9 + 146*p/9 + 20/3 = 0.
-1, 2, 15
Find p, given that -4*p**3 + 88*p**2 - 304*p + 288 = 0.
2, 18
Factor 38*h**3 - 110*h**2/3 - 232*h/3 - 8/3.
2*(h - 2)*(h + 1)*(57*h + 2)/3
Solve -3*k**4 + 12*k**3 + 6*k**2 - 36*k - 27 = 0 for k.
-1, 3
Suppose v**4/12 + 13*v**3/3 + 37*v**2/2 - 151*v/3 + 329/12 = 0. Calculate v.
-47, -7, 1
Suppose 2*s**2/7 - 140*s + 17150 = 0. What is s?
245
Let p**3 - 35*p**2 - 73*p - 37 = 0. What is p?
-1, 37
What is f in -6*f**2/5 - 4392*f/5 = 0?
-732, 0
Factor -5*p**2 + 10530*p - 5544045.
-5*(p - 1053)**2
Factor 2*w**2/13 - 224*w/13 - 690/13.
2*(w - 115)*(w + 3)/13
Let -4*n**4/5 - 6*n**3 - 54*n**2/5 - 4*n = 0. Calculate n.
-5, -2, -1/2, 0
Factor -5*l**4 + 25*l**3 + 40*l**2 - 60*l.
-5*l*(l - 6)*(l - 1)*(l + 2)
What is g in -2*g**2/5 + 172*g - 18490 = 0?
215
Let -2*a**3 - 470*a**2/7 - 1132*a/7 - 496/7 = 0. Calculate a.
-31, -2, -4/7
Let -2*z**3/11 + 8*z**2/11 + 2*z/11 - 8/11 = 0. What is z?
-1, 1, 4
What is j in -9*j**5 + 33*j**4 - 12*j**3 - 60*j**2 + 48*j = 0?
-4/3, 0, 1, 2
Let -2*p**4 + 26*p**3 - 36*p**2 - 320*p - 256 = 0. Calculate p.
-2, -1, 8
Factor -v**3 + 2*v**2 + 71*v - 72.
-(v - 9)*(v - 1)*(v + 8)
Solve 3*a**4/5 + 6*a**3/5 - 9*a**2/5 - 24*a/5 - 12/5 = 0.
-2, -1, 2
Solve 224*d**5/5 - 1616*d**4/5 + 1998*d**3/5 + 2276*d**2/5 + 658*d/5 + 12 = 0 for d.
-2/7, -1/4, 3, 5
Solve 4*b**5/5 - 4*b**4/5 - 224*b**3/5 = 0 for b.
-7, 0, 8
Factor -100*k**2 + 1280*k - 4096.
-4*(5*k - 32)**2
Factor -3*o**3/5 - 27*o**2/5 - 18*o/5 + 48/5.
-3*(o - 1)*(o + 2)*(o + 8)/5
Factor -2*d**5 + 4*d**4 + 70*d**3.
-2*d**3*(d - 7)*(d + 5)
Factor 3*n**2 + 48*n - 891.
3*(n - 11)*(n + 27)
Determine v, given that v**5/10 + v**4/5 - 3*v**3/5 - 4*v**2/5 + v/2 + 3/5 = 0.
-3, -1, 1, 2
Find t, given that t**5/3 - 25*t**3/3 - 20*t**2/3 + 28*t + 80/3 = 0.
-4, -2, -1, 2, 5
Suppose 3*v**3/5 - 2028*v**2/5 + 405*v = 0. Calculate v.
0, 1, 675
Factor -2*f**2/9 + 4684*f/9 - 2742482/9.
-2*(f - 1171)**2/9
Factor -h**2/2 - 493*h/4 + 247/4.
-(h + 247)*(2*h - 1)/4
Factor -v**2 - 2*v - 1.
-(v + 1)**2
Let o**4 - 84*o**3 + 1078*o**2 + 28812*o + 117649 = 0. Calculate o.
-7, 49
Factor 3*a**4/2 + 15*a**3 + 99*a**2/2 + 66*a + 30.
3*(a + 1)*(a + 2)**2*(a + 5)/2
What is h in -10*h**3 + 174*h**2 - 692*h - 480 = 0?
-3/5, 8, 10
Let 3*t**4/7 - 15*t**3/7 - 45*t**2/7 + 15*t/7 + 6 = 0. Calculate t.
-2, -1, 1, 7
Find y, given that -3*y**3 + 99*y**2 - 96*y = 0.
0, 1, 32
Factor -r**3 + 14*r**2 - 53*r + 40.
-(r - 8)*(r - 5)*(r - 1)
Factor 4*x**4/3 - 28*x**3/3 + 8*x**2.
4*x**2*(x - 6)*(x - 1)/3
Determine p so that p**3/3 + 22*p**2/3 + 119*p/3 + 98/3 = 0.
-14, -7, -1
Suppose -x**4 - 2*x**3 + 12*x**2 - 14*x + 5 = 0. Calculate x.
-5, 1
Factor -4*n**3 + 100*n**2 - 348*n + 252.
-4*(n - 21)*(n - 3)*(n - 1)
Find c, given that -c**4/7 + 18*c**3/7 + 4*c**2 - 456*c/7 - 864/7 = 0.
-4, -2, 6, 18
Determine j, given that -j**4/10 + 79*j**3/5 - 4212*j**2/5 + 78416*j/5 - 140608/5 = 0.
2, 52
Factor -3*k**5/2 + 6*k**4 + 39*k**3 + 66*k**2