18, -2/11
Factor -6*o**2 - 17*o + 28.
-(o + 4)*(6*o - 7)
Let 2*b**4/5 - 47*b**3/5 + 23*b**2/5 = 0. Calculate b.
0, 1/2, 23
Let -65*r**3/2 - 5*r**2 + 65*r/2 + 5 = 0. What is r?
-1, -2/13, 1
Suppose 15*c**2 + 380*c + 125 = 0. What is c?
-25, -1/3
Suppose -4*g**2 - 672*g - 28224 = 0. What is g?
-84
Determine t, given that 2*t**4/5 - 6*t**3 + 26*t**2/5 + 6*t - 28/5 = 0.
-1, 1, 14
Find h, given that -h**5/2 + 7*h**4/2 + 16*h**3 - 4*h**2 - 56*h - 40 = 0.
-2, -1, 2, 10
Let -5*p**5 - 515*p**4 + 30*p**3 + 3130*p**2 + 4135*p + 1545 = 0. What is p?
-103, -1, 3
Suppose -4*m**3/3 - 3884*m**2/3 - 944780*m/3 - 940900/3 = 0. Calculate m.
-485, -1
Solve -3*m**2 - 4704*m - 9396 = 0.
-1566, -2
Factor 2*z**3 - 248*z**2 - 2*z + 248.
2*(z - 124)*(z - 1)*(z + 1)
Determine k, given that -4*k**3 - 48*k**2 = 0.
-12, 0
What is z in -z**2/8 + 51*z/2 - 2601/2 = 0?
102
Solve -x**2 + 7654*x - 7653 = 0.
1, 7653
Factor -t**2 + 513*t.
-t*(t - 513)
Suppose 175*v**5/3 - 610*v**4/3 - 124*v**3 + 40*v**2/3 + 32*v/3 = 0. What is v?
-2/5, 0, 2/7, 4
Let -2*c**2/3 + 980*c/3 - 120050/3 = 0. Calculate c.
245
Factor -n**2/2 - 7*n/2 - 6.
-(n + 3)*(n + 4)/2
Factor h**2/3 + 744*h + 415152.
(h + 1116)**2/3
Determine k, given that -5*k**4/4 - 185*k**3/4 + 395*k**2/4 + 185*k/4 - 195/2 = 0.
-39, -1, 1, 2
Find p such that -5*p**5 - 10*p**4 + 30*p**3 + 20*p**2 - 65*p + 30 = 0.
-3, -2, 1
Solve -133*y**3 + 1332*y**2 - 3345*y + 50 = 0 for y.
2/133, 5
Factor 2*f**4/5 - 572*f**3/5 - 230*f**2 - 576*f/5.
2*f*(f - 288)*(f + 1)**2/5
Suppose -6*u**3 - 11*u**2 + 2*u = 0. What is u?
-2, 0, 1/6
Find x such that -18*x**4 + 166*x**3 - 288*x**2 + 56*x = 0.
0, 2/9, 2, 7
Let -2*c**5 + 11*c**4 - 17*c**3 + 6*c**2 = 0. What is c?
0, 1/2, 2, 3
Factor 5*u**4 - 30*u**3 - 45*u**2 + 70*u.
5*u*(u - 7)*(u - 1)*(u + 2)
Factor 2*c**3/17 - 2172*c**2/17 - 4350*c/17 - 128.
2*(c - 1088)*(c + 1)**2/17
Factor 4*g**3 + 1917*g**2 + 479*g.
g*(g + 479)*(4*g + 1)
Solve 2*q**4 - 130*q**3 - 1752*q**2 - 7264*q - 9856 = 0.
-4, 77
Determine a, given that -27*a**5/4 - 15*a**4/2 + 13*a**3/2 + 8*a**2 + a/4 - 1/2 = 0.
-1, -1/3, 2/9, 1
Factor n**2/2 - 77*n - 155/2.
(n - 155)*(n + 1)/2
Suppose 4*i**5 - 48*i**4 - 232*i**3 - 368*i**2 - 252*i - 64 = 0. Calculate i.
-1, 16
Factor 2*c**2 + 165*c + 477.
(c + 3)*(2*c + 159)
Factor 4*s**3/7 - 3292*s**2/7 + 3288*s/7.
4*s*(s - 822)*(s - 1)/7
Let 4*k**3 + 224*k**2 + 436*k + 216 = 0. Calculate k.
-54, -1
Factor 5*o**2 + 910*o - 915.
5*(o - 1)*(o + 183)
What is w in w**3/4 - w**2/2 - 5*w/4 + 3/2 = 0?
-2, 1, 3
Factor g**3/5 - 37*g**2/5 + 371*g/5 - 1127/5.
(g - 23)*(g - 7)**2/5
Factor -f**5/7 - 2*f**4/7 + 8*f**3/7 - 2*f**2/7 - f + 4/7.
-(f - 1)**3*(f + 1)*(f + 4)/7
Suppose -b**3 + 2*b**2 - b = 0. What is b?
0, 1
Find q such that 2*q**2/19 + 3490*q/19 = 0.
-1745, 0
Factor 14045*j**5 + 27560*j**4 + 12990*j**3 - 520*j**2 + 5*j.
5*j*(j + 1)**2*(53*j - 1)**2
Let -4*a**3/7 - 16*a**2/7 - 16*a/7 = 0. What is a?
-2, 0
Factor -4*j**5 + 15*j**4 - 20*j**3 + 10*j**2 - 1.
-(j - 1)**4*(4*j + 1)
Factor 19*s**3 + 59*s**2 + 6*s.
s*(s + 3)*(19*s + 2)
Solve -i**4 + 7*i**3 - 11*i**2 + 5*i = 0 for i.
0, 1, 5
Factor 2*q**2/5 - 104*q/5 + 102/5.
2*(q - 51)*(q - 1)/5
What is h in -16*h**2 + 36*h - 8 = 0?
1/4, 2
Determine z, given that -z**4/2 + 13*z**2 - 25/2 = 0.
-5, -1, 1, 5
Let g**3/6 - 28*g**2/3 - 2*g/3 + 112/3 = 0. Calculate g.
-2, 2, 56
Let -m**3/5 - 4652*m**2/5 - 5410276*m/5 = 0. What is m?
-2326, 0
Find c such that 4*c**4 - 4*c**3/3 - 212*c**2/3 - 316*c/3 - 40 = 0.
-3, -1, -2/3, 5
Factor -2*f**3/9 - 28*f**2/3 + 362*f/9 - 92/3.
-2*(f - 3)*(f - 1)*(f + 46)/9
Determine d, given that -3*d**3 - 12*d**2 + 63*d = 0.
-7, 0, 3
Factor -5*n**4 + 60*n**3 - 45*n**2 - 110*n.
-5*n*(n - 11)*(n - 2)*(n + 1)
Solve -14*w**2 + 32*w - 8 = 0 for w.
2/7, 2
Factor -b**4/3 + 7*b**3/9 - 4*b/9.
-b*(b - 2)*(b - 1)*(3*b + 2)/9
Factor 4*n**4 + 48*n**3 + 120*n**2 + 112*n + 36.
4*(n + 1)**3*(n + 9)
Solve -16*c**3 - 1396*c**2 - 1724*c - 344 = 0 for c.
-86, -1, -1/4
What is a in -2*a**2 - 833*a/2 - 104 = 0?
-208, -1/4
Find l, given that -9*l**5 - 1037*l**4 - 2273*l**3 - 1471*l**2 - 226*l = 0.
-113, -1, -2/9, 0
Determine b, given that -b**2/4 - 96*b - 9216 = 0.
-192
Find a, given that 4*a**5 + 72*a**4 + 464*a**3 + 1160*a**2 + 300*a - 2000 = 0.
-5, -4, 1
Factor 3*t**4/2 + 3*t**3 - 42*t**2 + 69*t - 63/2.
3*(t - 3)*(t - 1)**2*(t + 7)/2
Factor -z**2 - 2*z + 24.
-(z - 4)*(z + 6)
Suppose -4*i**3/7 - 96*i**2/7 - 720*i/7 - 1728/7 = 0. What is i?
-12, -6
Determine n, given that n**5/4 - 9*n**4/4 + 7*n**3/4 + 9*n**2/4 - 2*n = 0.
-1, 0, 1, 8
Determine k so that 2*k**2/15 - 694*k/15 - 232/5 = 0.
-1, 348
Find a, given that -a**4/7 + 2*a**3/7 + 3*a**2/7 - 8*a/7 + 4/7 = 0.
-2, 1, 2
Factor -79*r**3 - 80*r**2 - r.
-r*(r + 1)*(79*r + 1)
What is g in -3*g**5 + 6*g**4 + 9*g**3 - 24*g**2 + 12*g = 0?
-2, 0, 1, 2
Factor -g**3/9 - 7*g**2 + 64*g/9.
-g*(g - 1)*(g + 64)/9
Determine h, given that h**4/7 + 13*h**3/7 + 46*h**2/7 + 12*h/7 - 72/7 = 0.
-6, -2, 1
Factor 2*y**2/7 - 100*y/7 - 102/7.
2*(y - 51)*(y + 1)/7
Factor -h**3 + 149*h**2 - 5475*h - 5625.
-(h - 75)**2*(h + 1)
Factor -2*n**3 + 8*n**2 + 22*n - 60.
-2*(n - 5)*(n - 2)*(n + 3)
Let 6*k**2/5 + 75*k + 1881/5 = 0. Calculate k.
-57, -11/2
Find l such that -225*l**5/4 - 705*l**4/2 - 2389*l**3/4 - 141*l**2 - 9*l = 0.
-3, -2/15, 0
Suppose 2*c**4 - 10*c**3 + 8*c**2 = 0. Calculate c.
0, 1, 4
Let -4*t**5 - 1866*t**4 + 6568*t**3 - 5642*t**2 - 936*t + 1880 = 0. What is t?
-470, -1/2, 1, 2
Find u such that 3*u**4 + 285*u**3 + 1629*u**2 + 2403*u = 0.
-89, -3, 0
Factor -3*l**3/8 + 15*l**2/8 - 9*l/4.
-3*l*(l - 3)*(l - 2)/8
Suppose 3*a**5/4 + 27*a**4/4 - 3*a**3/4 - 27*a**2/4 = 0. Calculate a.
-9, -1, 0, 1
Let -h**3/10 + h**2/2 - 7*h/10 + 3/10 = 0. Calculate h.
1, 3
Let -2*v**4 + 22*v**3 = 0. Calculate v.
0, 11
Determine r, given that -2*r**2 + 28*r/3 - 10 = 0.
5/3, 3
Solve -15*g**5 + 125*g**4 - 75*g**3 - 425*g**2 - 210*g = 0 for g.
-1, -2/3, 0, 3, 7
Determine s so that -3*s**3/2 + 1041*s**2 - 179568*s - 363312 = 0.
-2, 348
Factor 3*m**4 + 282*m**3 + 552*m**2.
3*m**2*(m + 2)*(m + 92)
Factor -y**4/2 + y**3 + y**2/2 - y.
-y*(y - 2)*(y - 1)*(y + 1)/2
Solve s**3 - 64*s**2 - 679*s + 1606 = 0.
-11, 2, 73
Suppose 5*k**3/6 - 19*k**2/3 + 7*k/2 = 0. Calculate k.
0, 3/5, 7
Solve 3*j**4/5 + 87*j**3/5 + 84*j**2/5 = 0.
-28, -1, 0
Factor 5*c**2 + 290*c + 4205.
5*(c + 29)**2
Suppose -i**4/2 - 23*i**3 - 360*i**2 - 2025*i - 3375/2 = 0. What is i?
-15, -1
Find p such that -13*p**4/8 + 77*p**3/4 - 509*p**2/8 + 77*p/2 + 15/2 = 0.
-2/13, 1, 5, 6
Solve -g**2 - 84*g - 83 = 0 for g.
-83, -1
Factor -5*i**2/2 + 95*i/2 - 210.
-5*(i - 12)*(i - 7)/2
Factor 2*m**2 - 17*m - 9.
(m - 9)*(2*m + 1)
Factor -a**3/4 - 17*a**2/4 + 16*a + 20.
-(a - 4)*(a + 1)*(a + 20)/4
Find p, given that -p**3/2 + 45*p**2/2 - 21*p - 44 = 0.
-1, 2, 44
Factor q**3/4 + 7*q**2.
q**2*(q + 28)/4
Factor -2*z**2/17 - 268*z/17 - 8978/17.
-2*(z + 67)**2/17
Factor -2*u**2/5 - 8*u/5 + 24.
-2*(u - 6)*(u + 10)/5
Factor 3*w**4 - 390*w**3 + 11019*w**2 + 107640*w + 228528.
3*(w - 69)**2*(w + 4)**2
Factor -4*j**2 + 520*j + 524.
-4*(j - 131)*(j + 1)
Factor -293378*w**3/5 - 3064*w**2/5 - 8*w/5.
-2*w*(383*w + 2)**2/5
Suppose -224*s**4/9 + 58*s**3/3 + 502*s**2/9 + 32*s/3 - 8/9 = 0. Calculate s.
-1, -2/7, 1/16, 2
What is h in 288*h**4 - 140*h**3 - 884*h**2 + 976*h - 240 = 0?
-2, 3/8, 1, 10/9
Find j, given that -45*j**4 + 325*j**3 + 290*j**2 - 80*j = 0.
-1, 0, 2/9, 8
Factor 2*c**4 - 2*c**3 - 34*c**2 + 42*c + 72.
2*(c - 3)**2*(c + 1)*(c + 4)
Factor -4*j**3/9 + 12*j**2 - 32*j.
-4*j*(j - 24)*(j - 3)/9
Factor 2*a**3 + 48*a**2 + 168*a + 160.
2*(a + 2)**2*(a + 20)
Let -d**3/4 - 11*d**2 - 525*d/4 - 441/2 = 0. Calculate d.
-21, -2
Determine z, given that -2*z**4/3 - 44*z**3/3 + 8*z**2/3 + 176*z/3 = 0.
-22, -2, 0, 2
Factor -4*s**2 + 1336*s - 3972.
-4*(s - 331)*(s - 3)
Solve 2*f**5 + 16*f**4 + 10*f**3 - 100*f**2 = 0.
-5, 0, 2
What is p in -3*p**2 + 9264*p/5 + 3708/5 = 0?
-2/5, 618
Let 3*g**2 + 21*g = 0. Calculate g.
-7, 0
Let -2*g**5/5 + 8*g**4/5 - 2*g**3/5 - 28*g**2/5 + 8*g - 16/5 = 0. Calculate g.
-2, 1, 2
Factor -2*j**3/11 + 114*j**2/11 - 48*j + 416/11.
-2*(j - 52)*(j - 4)*(j - 1)/11
Factor 5*x**4 + 555*x**3 + 11895*x**2 - 204655*x.
5*x*(x - 11)*(x + 61)**2
Factor 2*z**3/3 + 1760*z**2/3 + 383656*z/3 - 1562912/3.
2*(z - 4)*(z + 442)**