*f**3/2 - 143881*f**2/2 - 71504*f - 23762.
-(f + 1)**3*(f + 218)**2/2
Suppose 3*f**5/2 + 126*f**4 + 5019*f**3/2 - 6051*f**2 - 10062*f + 22188 = 0. What is f?
-43, -2, 2
Factor 2*i**3 + 34*i**2 - 116*i + 80.
2*(i - 2)*(i - 1)*(i + 20)
Let 6*p**2 + 3*p - 3 = 0. What is p?
-1, 1/2
Suppose g**3 + 46*g**2 - 249*g + 306 = 0. Calculate g.
-51, 2, 3
Solve t**2/3 - 29*t + 86/3 = 0.
1, 86
Determine f so that -180000*f**2 - 1200*f - 2 = 0.
-1/300
Suppose -2*o**4/13 + 14*o**2/13 + 12*o/13 = 0. What is o?
-2, -1, 0, 3
Factor 3*v**5 - 24*v**4 - 9*v**3 + 78*v**2 - 48*v.
3*v*(v - 8)*(v - 1)**2*(v + 2)
Factor -2*c**4/3 - 4*c**3 - 22*c**2/3 - 4*c.
-2*c*(c + 1)*(c + 2)*(c + 3)/3
Suppose p**5/7 + 3*p**4/7 - 5*p**3/7 - 3*p**2/7 + 4*p/7 = 0. What is p?
-4, -1, 0, 1
Solve -3*h**3 + 108*h**2 + 1521*h + 1410 = 0.
-10, -1, 47
Factor 2*n**4 - 244*n**3 + 9362*n**2 - 115320*n.
2*n*(n - 60)*(n - 31)**2
Determine n, given that 2*n**5/9 - 4*n**4/3 - 10*n**3/3 - 16*n**2/9 = 0.
-1, 0, 8
Factor 3*u**2/7 + 425*u/7 + 422/7.
(u + 1)*(3*u + 422)/7
Factor -2*m**4 + 82*m**3 - 1044*m**2 + 5400*m - 9936.
-2*(m - 23)*(m - 6)**3
Let 5*j**3 + 5*j**2 - 20*j - 20 = 0. What is j?
-2, -1, 2
What is j in 3*j**5 - 3*j**4 - 126*j**3 - 312*j**2 - 192*j = 0?
-4, -2, -1, 0, 8
Solve z**4 - 314*z**3 + 312*z**2 + 314*z - 313 = 0.
-1, 1, 313
Find s, given that -3*s**4/5 + 4*s**3 + 33*s**2/5 - 6*s/5 - 16/5 = 0.
-1, 2/3, 8
What is f in 6*f**3 - 27*f**2 - 15*f = 0?
-1/2, 0, 5
Let 2*f**4/17 - 12*f**3/17 - 30*f**2/17 - 16*f/17 = 0. Calculate f.
-1, 0, 8
Factor -2*l**4/5 - 94*l**3/5 + 194*l**2/5 - 98*l/5.
-2*l*(l - 1)**2*(l + 49)/5
Factor k**2 + 20*k - 21.
(k - 1)*(k + 21)
Let 2*n**4/15 - 4*n**3/15 - 2*n**2/5 = 0. What is n?
-1, 0, 3
What is c in -6*c**2/11 - 290*c/11 - 96/11 = 0?
-48, -1/3
Factor a**5/8 + a**4/4 - 3*a**3/8 - a**2 - a/2.
a*(a - 2)*(a + 1)**2*(a + 2)/8
Factor 2*g**2/5 - 24*g/5 + 8.
2*(g - 10)*(g - 2)/5
Factor 2*l**2 + 28*l + 80.
2*(l + 4)*(l + 10)
Suppose 5*w**5/2 + 9*w**4 + 12*w**3 + 7*w**2 + 3*w/2 = 0. Calculate w.
-1, -3/5, 0
Factor -u**4/5 + 12*u**3/5 - 21*u**2/5 + 2*u.
-u*(u - 10)*(u - 1)**2/5
What is m in -4*m**4 + 4*m**2 = 0?
-1, 0, 1
Find z, given that 3*z**3 + 51*z**2 - 111*z + 57 = 0.
-19, 1
Factor -4*q**4 + 344*q**3 - 6676*q**2 - 30960*q - 32400.
-4*(q - 45)**2*(q + 2)**2
Let 8*c**5/7 - 4*c**4 + 8*c**3/7 + 12*c**2/7 = 0. Calculate c.
-1/2, 0, 1, 3
Let d**2/8 + 7*d + 98 = 0. What is d?
-28
Factor 3*i**5/7 + 51*i**4/7 + 282*i**3/7 + 570*i**2/7 + 69*i + 21.
3*(i + 1)**3*(i + 7)**2/7
Factor 3*j**2/5 - 177*j/5 + 162.
3*(j - 54)*(j - 5)/5
Factor -17*h**3/2 - 32*h**2 - 35*h/2 + 6.
-(h + 1)*(h + 3)*(17*h - 4)/2
Factor -10*w**4/7 + 816*w**3/7 + 328*w**2/7.
-2*w**2*(w - 82)*(5*w + 2)/7
Factor i**5 + 3*i**4 - 69*i**3 - 143*i**2 - 72*i.
i*(i - 8)*(i + 1)**2*(i + 9)
Find v, given that -4*v**2 + 24*v - 20 = 0.
1, 5
Factor x**4/3 - 33*x**3 + 1015*x**2 - 20825*x/3 - 85750.
(x - 35)**3*(x + 6)/3
Find a such that -2*a**2/3 - 68*a/3 - 22 = 0.
-33, -1
Factor 2*o**2/7 - 4940*o/7 + 3050450/7.
2*(o - 1235)**2/7
Determine k so that -98*k**3 - 504*k**2 - 480*k - 128 = 0.
-4, -4/7
Determine m so that -9*m**3 + 15*m**2 + 12*m - 12 = 0.
-1, 2/3, 2
Let 4*z**4 - 36*z**3 + 60*z**2 + 100*z = 0. What is z?
-1, 0, 5
Factor 2*a**4/7 - 18*a**2/7 - 8*a/7 + 24/7.
2*(a - 3)*(a - 1)*(a + 2)**2/7
Determine v so that -2*v**3 + 20*v**2 - 46*v + 28 = 0.
1, 2, 7
Factor -s**3 - 15*s**2 - 14*s.
-s*(s + 1)*(s + 14)
Factor 3*v**2/4 - 117*v/4 - 129.
3*(v - 43)*(v + 4)/4
Factor -3*m**4/5 - 501*m**3/5 + 1521*m**2/5 - 1527*m/5 + 102.
-3*(m - 1)**3*(m + 170)/5
Factor -8*q**4 - 12*q**3 + 32*q**2 - 12*q.
-4*q*(q - 1)*(q + 3)*(2*q - 1)
Determine y, given that -y**4/10 + 22*y**3/5 - 194*y**2/5 - 1056*y/5 - 1152/5 = 0.
-2, 24
Find y such that 16*y**5/9 - 136*y**4/9 - 28*y**3/3 + 98*y**2/9 + 88*y/9 + 2 = 0.
-1/2, 1, 9
Find c such that 6*c**3 - 363*c**2/5 + 6*c + 72/5 = 0.
-2/5, 1/2, 12
Solve -4*y**5 + 488*y**4 - 964*y**3 + 480*y**2 = 0 for y.
0, 1, 120
Find d such that 7*d**2/4 - d = 0.
0, 4/7
Let 5*i**5 + 30*i**4 - 2575*i**3 - 10500*i**2 - 13180*i - 5280 = 0. Calculate i.
-24, -2, -1, 22
Factor -2*g**2 + 18*g + 20.
-2*(g - 10)*(g + 1)
Factor -y**4 + 1608*y**3 - 644805*y**2 - 1296050*y.
-y*(y - 805)**2*(y + 2)
Factor 2*t**3/13 - 4294*t**2/13 + 2306950*t/13 - 2302658/13.
2*(t - 1073)**2*(t - 1)/13
Let -f**2 + 100*f - 99 = 0. Calculate f.
1, 99
Solve 10*y**5/3 - 125*y**4/6 + 125*y**3/3 - 175*y**2/6 + 5*y = 0.
0, 1/4, 1, 2, 3
Factor 2*x**4 - 104*x**3 + 1572*x**2 - 8856*x + 15066.
2*(x - 31)*(x - 9)**2*(x - 3)
Factor -h**3/2 + 11*h**2 + h/2 - 11.
-(h - 22)*(h - 1)*(h + 1)/2
Solve 2*y**3 + 12*y**2 - 80*y = 0.
-10, 0, 4
Factor 6*r**3/5 - 51*r**2/5 + 66*r/5 - 21/5.
3*(r - 7)*(r - 1)*(2*r - 1)/5
Let -z**5/2 - z**4/4 + 5*z**3/2 - z**2 - 2*z + 5/4 = 0. Calculate z.
-5/2, -1, 1
Factor -625*q**3 - 1675*q**2 + 584*q - 48.
-(q + 3)*(25*q - 4)**2
Suppose 2*c**4/13 + 674*c**3/13 + 2672*c**2/13 + 2664*c/13 = 0. Calculate c.
-333, -2, 0
Suppose 5*y**5 - 1140*y**4 + 63830*y**3 + 131100*y**2 + 66125*y = 0. Calculate y.
-1, 0, 115
Determine m so that 10*m**5 + 26*m**4 - 2*m**3 - 34*m**2 - 8*m + 8 = 0.
-2, -1, 2/5, 1
Determine x so that -26*x**5/7 + 16*x**4 - 188*x**3/7 + 152*x**2/7 - 58*x/7 + 8/7 = 0.
4/13, 1
Factor 4*j**2/3 + 80*j/3 + 112.
4*(j + 6)*(j + 14)/3
Solve p**2 + 108*p + 2916 = 0.
-54
What is a in 3*a**2 - 2916*a + 2913 = 0?
1, 971
Let -2*r**5 + 38*r**4 - 276*r**3 + 940*r**2 - 1450*r + 750 = 0. Calculate r.
1, 3, 5
Suppose 77*h**2/3 - 2*h/3 = 0. What is h?
0, 2/77
Find u such that -5*u**4 + 55*u**3 + 15*u**2 - 175*u + 110 = 0.
-2, 1, 11
Let 17161*t**5 - 52007*t**4 + 53059*t**3 - 18745*t**2 + 536*t - 4 = 0. What is t?
2/131, 1
Factor 2*h**3/11 + 98*h**2/11 + 452*h/11 + 48.
2*(h + 2)*(h + 3)*(h + 44)/11
Solve x**5/2 - 3*x**4 + 7*x**3/2 + 3*x**2 - 4*x = 0 for x.
-1, 0, 1, 2, 4
Let -h**4/2 + 6*h**3 + 45*h**2/2 + 2*h - 30 = 0. What is h?
-2, 1, 15
Factor -27*n**5 + 18*n**4 + 33*n**3 - 12*n**2 - 12*n.
-3*n*(n - 1)**2*(3*n + 2)**2
Factor -3*v**3 - 96*v**2 - 183*v - 90.
-3*(v + 1)**2*(v + 30)
Factor u**3/4 - 5*u**2 + 12*u + 144.
(u - 12)**2*(u + 4)/4
Let u**3/4 - u**2/2 - 55*u/4 + 14 = 0. Calculate u.
-7, 1, 8
Suppose 6*n**5 - 51*n**4 + 63*n**3 + 246*n**2 - 264*n = 0. Calculate n.
-2, 0, 1, 4, 11/2
Find g, given that g**2 - 16*g = 0.
0, 16
What is c in -c**3 + 25*c**2 - 22*c - 48 = 0?
-1, 2, 24
Factor 3*c**2/2 - 123*c/2 + 60.
3*(c - 40)*(c - 1)/2
What is t in -t**2 - 33*t - 62 = 0?
-31, -2
Factor h**4 + 19*h**3 - 112*h**2 + 188*h - 96.
(h - 2)**2*(h - 1)*(h + 24)
Suppose -2*a**5/7 + 24*a**4/7 + 10*a**3/7 - 120*a**2/7 - 8*a/7 + 96/7 = 0. What is a?
-2, -1, 1, 2, 12
Factor 5*z**3 + 650*z**2 + 4355*z + 6150.
5*(z + 2)*(z + 5)*(z + 123)
Suppose -324*x**3 - 1638*x**2 - 8961*x/4 - 841/2 = 0. Calculate x.
-29/12, -2/9
Factor -2*k**2/7 - 11540*k/7 - 16646450/7.
-2*(k + 2885)**2/7
Suppose -3*m**3 - 552*m**2 - 25392*m = 0. What is m?
-92, 0
Determine z so that 181*z**4/3 - 907*z**3/3 + 10*z**2/3 = 0.
0, 2/181, 5
Let 2*x**2/5 + 4*x/5 - 16/5 = 0. Calculate x.
-4, 2
Determine t so that -102*t**2/11 + 3880*t/11 - 152/11 = 0.
2/51, 38
Factor 4*l**2 + 220*l.
4*l*(l + 55)
Factor -p**3 - 979*p**2 - 978*p.
-p*(p + 1)*(p + 978)
Determine b so that 4*b**4/3 + 1820*b**3/3 + 206104*b**2/3 - 70528*b - 138624 = 0.
-228, -1, 2
Let a**2 - 82*a/3 - 56/3 = 0. What is a?
-2/3, 28
Factor -m**2/2 + m/2 + 55.
-(m - 11)*(m + 10)/2
Find q such that q**3/4 - 65*q**2/4 - 2113*q/4 - 2047/4 = 0.
-23, -1, 89
Solve 3*a**4 + 57*a**3 + 369*a**2 + 903*a + 588 = 0 for a.
-7, -4, -1
Factor o**2 + 2*o - 8.
(o - 2)*(o + 4)
Factor v**2/5 - 97*v/5.
v*(v - 97)/5
Find i, given that 5*i**4 - 120*i**3 - 535*i**2 - 690*i - 280 = 0.
-2, -1, 28
Factor o**2 - 75*o - 76.
(o - 76)*(o + 1)
Factor -3*s**3 + 9*s**2 + 30*s - 72.
-3*(s - 4)*(s - 2)*(s + 3)
Find b, given that -3*b**2 - 48*b - 165 = 0.
-11, -5
Determine v, given that -4*v**5 - 8*v**4 + 192*v**3 = 0.
-8, 0, 6
Find g, given that 35*g**5 + 150*g**4 - 485*g**3 - 780*g**2 - 180*g = 0.
-6, -1, -2/7, 0, 3
Suppose 3*q**2/2 - 33*q/2 - 120 = 0. Calculate q.
-5, 16
Factor 3*h**4/5 - 6*h**3 + 99*h**2/5 - 132*h/5 + 12.
3*(h - 5)*(h - 2)**2*(h - 1)/5
Determine n so that 3*n**3 + 120*n**2 - 3*n - 120 = 0.
-40, -1, 1
Factor h**4/8 - 1781*h**3/8 + 1058505*h**2/8 - 2106