
Let 8*n**5 - 28*n**4 + 12*n**3 + 32*n**2 - 16*n = 0. What is n?
-1, 0, 1/2, 2
Factor h**2/3 - 43*h/3 + 52.
(h - 39)*(h - 4)/3
Determine b, given that 2*b**4/3 + 32*b**3/15 + 8*b**2/5 = 0.
-2, -6/5, 0
Factor 4*h**5 - 248*h**4 + 4084*h**3 - 7440*h**2 + 3600*h.
4*h*(h - 30)**2*(h - 1)**2
Factor -m**2 - 32*m + 33.
-(m - 1)*(m + 33)
Solve -3*b**3/4 + 3*b**2/4 + 3*b - 3 = 0 for b.
-2, 1, 2
Factor 5*j**3/2 - 65*j**2/2 + 115*j/2 - 55/2.
5*(j - 11)*(j - 1)**2/2
Suppose -75*j**4/7 + 4719*j**3/7 - 76347*j**2/7 + 65937*j/7 + 5766/7 = 0. Calculate j.
-2/25, 1, 31
Suppose 4*t**5/5 - 64*t**4/5 + 112*t**3/5 + 8*t**2/5 - 116*t/5 + 56/5 = 0. What is t?
-1, 1, 14
Factor -3*d**2 - 15*d + 900.
-3*(d - 15)*(d + 20)
Let -3*b**2 - 7464*b = 0. What is b?
-2488, 0
Determine n, given that 5*n**5 + 20*n**4 + 30*n**3 + 20*n**2 + 5*n = 0.
-1, 0
Solve -c**3/10 + 88*c**2/5 - 3872*c/5 = 0 for c.
0, 88
Suppose -2*x**4 + 26*x**3 + 366*x**2 + 646*x + 308 = 0. What is x?
-7, -1, 22
Solve l**4/4 - 13*l**3/2 + 209*l**2/4 - 121*l = 0.
0, 4, 11
What is u in -u**3 - 199*u**2 + 1450*u + 1648 = 0?
-206, -1, 8
Solve 5*k**3 + 200*k**2 + 660*k - 2160 = 0 for k.
-36, -6, 2
Factor -5*v**4 + 580*v**3 - 21825*v**2 + 263250*v.
-5*v*(v - 45)**2*(v - 26)
Solve -5*w**2 - 60*w - 135 = 0.
-9, -3
Find s, given that 4*s**4/5 - 12*s**2/5 - 8*s/5 = 0.
-1, 0, 2
Suppose -49*a**2/2 - 42*a - 18 = 0. Calculate a.
-6/7
Factor -3*o**3 - 33*o**2 - 72*o.
-3*o*(o + 3)*(o + 8)
Suppose 5*c**4 - 45*c**3 + 35*c**2 + 45*c - 40 = 0. What is c?
-1, 1, 8
Factor -5*i**4 - 175*i**3 - 1585*i**2 - 425*i + 8670.
-5*(i - 2)*(i + 3)*(i + 17)**2
Let -2*f**2/3 + 1364*f/3 + 1366/3 = 0. What is f?
-1, 683
Factor 3*a**2 + 1516*a - 1012.
(a + 506)*(3*a - 2)
Find q, given that 264*q**2 + 244*q - 48 = 0.
-12/11, 1/6
Suppose 2*z**2/3 + 320*z + 38400 = 0. Calculate z.
-240
Factor q**4/10 + q**3/5 - 9*q**2/2 - 63*q/5.
q*(q - 7)*(q + 3)*(q + 6)/10
Determine p, given that 2*p**5/7 + 10*p**4/7 - 26*p**3/7 + 2*p**2 = 0.
-7, 0, 1
Let 75*h**4 + 460*h**3 + 885*h**2 + 560*h + 60 = 0. What is h?
-3, -2, -1, -2/15
Factor -2*q**5/15 + 26*q**4/15 - 22*q**3/5 + 62*q**2/15 - 4*q/3.
-2*q*(q - 10)*(q - 1)**3/15
Factor 2*b**5 - 2*b**4.
2*b**4*(b - 1)
Factor i**4 + 88*i**3 + 2520*i**2 + 21600*i - 54000.
(i - 2)*(i + 30)**3
Factor 2*w**2/3 - 32*w/3 - 160/3.
2*(w - 20)*(w + 4)/3
Factor -2*d**4/5 - 12*d**3/5 + 48*d**2/5 - 52*d/5 + 18/5.
-2*(d - 1)**3*(d + 9)/5
Factor 2420*j**4 - 10340*j**3 + 2685*j**2 - 180*j.
5*j*(j - 4)*(22*j - 3)**2
Factor -4*g**5 - 32*g**4 - 48*g**3 + 8*g**2 + 52*g + 24.
-4*(g - 1)*(g + 1)**3*(g + 6)
Suppose -x**5/2 + 5*x**4/2 - 9*x**3/2 + 7*x**2/2 - x = 0. Calculate x.
0, 1, 2
Let r**2/3 - 10*r + 176/3 = 0. What is r?
8, 22
Suppose 3*y**4 - 45*y**3 + 174*y**2 - 252*y + 120 = 0. What is y?
1, 2, 10
Factor h**4 + 8*h**3 + 22*h**2 + 24*h + 9.
(h + 1)**2*(h + 3)**2
Factor 2*m**3/3 - m**2 - 20*m/3.
m*(m - 4)*(2*m + 5)/3
Factor -4*t**3 - 8*t**2 + 4*t + 8.
-4*(t - 1)*(t + 1)*(t + 2)
Let -3*k**2/2 - 59*k/2 - 19 = 0. What is k?
-19, -2/3
Solve 4*b**3/3 - 64*b**2/3 + 80*b = 0 for b.
0, 6, 10
Factor 95*n**2 - 30*n - 125.
5*(n + 1)*(19*n - 25)
Find k such that -2*k**2 + 18860*k - 44462450 = 0.
4715
Factor -s**4/3 - s**3/3 + 5*s**2/3 - s.
-s*(s - 1)**2*(s + 3)/3
Factor w**3 + 16*w**2 - 284*w - 624.
(w - 12)*(w + 2)*(w + 26)
Let 720*w**4 - 30288*w**3 + 324500*w**2 - 125000*w = 0. What is w?
0, 2/5, 125/6
Factor 2*i**2/3 + 126*i - 5684/3.
2*(i - 14)*(i + 203)/3
Suppose 35*n**3 + 620*n**2 + 2635*n + 2050 = 0. Calculate n.
-82/7, -5, -1
Let -g**3 + 16*g**2 - 45*g - 162 = 0. What is g?
-2, 9
Factor 3*q**4 + 1176*q**3 + 114063*q**2 - 232854*q.
3*q*(q - 2)*(q + 197)**2
Let 2*q**5/17 - 2*q**4/17 - 4*q**3/17 = 0. Calculate q.
-1, 0, 2
Find r such that 2*r**2/11 + 960*r/11 - 1928/11 = 0.
-482, 2
Suppose -5*o**5 - 110*o**4 - 665*o**3 - 320*o**2 + 3100*o - 2000 = 0. What is o?
-10, -4, 1
Factor 2*m**4/9 + 82*m**3/3 + 2480*m**2/3 - 7688*m/9.
2*m*(m - 1)*(m + 62)**2/9
What is x in -2*x**4 + 114*x**3 - 1468*x**2 - 1584*x = 0?
-1, 0, 22, 36
Factor z**3 - 13*z**2 - 16*z + 28.
(z - 14)*(z - 1)*(z + 2)
Factor -4*n**4/5 + 32*n**3/5 - 4*n**2 - 56*n/5.
-4*n*(n - 7)*(n - 2)*(n + 1)/5
What is b in -4*b**3 + 12*b + 8 = 0?
-1, 2
Find l such that 4*l**5 - 48*l**4 + 64*l**3 + 168*l**2 - 68*l - 120 = 0.
-1, 1, 3, 10
Find f such that -3*f**5 + 3*f**4 + 9*f**3 - 15*f**2 + 6*f = 0.
-2, 0, 1
Solve 3*a**4/5 + 3*a**3/5 - 9*a**2/5 - 3*a - 6/5 = 0.
-1, 2
Find d, given that -5*d**5 - 52*d**4 - 105*d**3 + 106*d**2 + 56*d = 0.
-7, -4, -2/5, 0, 1
Find z such that 4*z**2 + 36*z - 144 = 0.
-12, 3
Let 5*u**2 - 305*u = 0. What is u?
0, 61
Factor q**2 + 1982*q + 982081.
(q + 991)**2
Factor 3*s**3/2 - 423*s**2/2 - 2619*s/2 - 3969/2.
3*(s - 147)*(s + 3)**2/2
Suppose 172*z**5/5 + 1008*z**4/5 + 2092*z**3/5 + 1752*z**2/5 + 80*z - 96/5 = 0. Calculate z.
-2, -1, 6/43
Factor 3*f**4 + 216*f**3 + 4455*f**2 + 19602*f.
3*f*(f + 6)*(f + 33)**2
Suppose -i**4 - 29*i**3 - 258*i**2 - 576*i + 864 = 0. Calculate i.
-12, -6, 1
Determine t, given that 18*t**5/5 - 22*t**4/5 - 32*t**3/5 + 8*t**2/5 = 0.
-1, 0, 2/9, 2
Factor 18*n**3/7 + 1056*n**2/7 - 1432*n/7 + 480/7.
2*(n + 60)*(3*n - 2)**2/7
Factor -2*p**3/5 + 6*p**2/5 + 8*p/5 - 24/5.
-2*(p - 3)*(p - 2)*(p + 2)/5
Find z such that z**5/6 + 61*z**4/3 + 811*z**3/6 + 115*z**2 = 0.
-115, -6, -1, 0
Determine l so that 4*l**4 + 40*l**3 + 112*l**2 + 96*l = 0.
-6, -2, 0
Suppose 3*s**5 - 6*s**4 - 21*s**3 - 12*s**2 = 0. Calculate s.
-1, 0, 4
Factor -2*d**2/7 + 16*d/7 - 24/7.
-2*(d - 6)*(d - 2)/7
Suppose 355*h**4 + 740*h**3 + 415*h**2 + 30*h = 0. Calculate h.
-1, -6/71, 0
Solve 3*q**4 + 33*q**3 + 105*q**2 + 75*q = 0.
-5, -1, 0
Factor g**3/3 - 20*g**2 - 41*g - 62/3.
(g - 62)*(g + 1)**2/3
Determine z so that -5*z**4/2 + 175*z**3 + 180*z**2 - 175*z - 355/2 = 0.
-1, 1, 71
Let -m**3 + 75*m**2 - 1443*m + 1369 = 0. Calculate m.
1, 37
Let l**5/3 - 5*l**4/3 + l**3 + 13*l**2/3 - 8*l/3 - 4 = 0. Calculate l.
-1, 2, 3
Factor 3*r**2 + 12*r - 15.
3*(r - 1)*(r + 5)
Factor 5*r**4/4 - 665*r**3/4 + 4900*r**2 + 42875*r.
5*r*(r - 70)**2*(r + 7)/4
Factor -12*b**4 + 51*b**3 - 12*b**2.
-3*b**2*(b - 4)*(4*b - 1)
Suppose -5*i**2/6 - 14*i - 69/2 = 0. Calculate i.
-69/5, -3
Factor x**3/3 - 9*x**2 - 19*x - 29/3.
(x - 29)*(x + 1)**2/3
Let 14*l**5/9 + 4*l**4 + 10*l**3/3 + 8*l**2/9 = 0. Calculate l.
-1, -4/7, 0
Find w, given that 10*w**3/7 - 18*w**2/7 + 8*w/7 = 0.
0, 4/5, 1
Suppose -k**2/2 + 13*k/2 - 18 = 0. What is k?
4, 9
Find r such that -r**4 + r**3 + 2*r**2 = 0.
-1, 0, 2
Solve 5*s**2 - 5*s = 0 for s.
0, 1
Factor 2*f**3 - 652*f**2/5 + 938*f - 912/5.
2*(f - 57)*(f - 8)*(5*f - 1)/5
Let 5*m**3 - 340*m**2 + 660*m = 0. Calculate m.
0, 2, 66
Find s, given that s**2/2 - 29*s + 56 = 0.
2, 56
Solve -4*h**2/9 - 16*h/3 - 80/9 = 0 for h.
-10, -2
Factor -5*i**2/3 - 10*i/3 + 5.
-5*(i - 1)*(i + 3)/3
Determine h, given that -h**5 - 14*h**4 - 42*h**3 - 16*h**2 + 43*h + 30 = 0.
-10, -3, -1, 1
Factor q**3/6 - 2*q**2 - 155*q/2 + 238/3.
(q - 28)*(q - 1)*(q + 17)/6
Suppose -27*p**4 + 405*p**3 - 717*p**2 + 183*p + 156 = 0. Calculate p.
-1/3, 1, 4/3, 13
Solve 4*d**5 - 96*d**4 - 312*d**3 - 320*d**2 - 108*d = 0.
-1, 0, 27
Solve -t**3 - 7*t**2 + t + 7 = 0.
-7, -1, 1
Determine i so that 10*i**4 + 2*i**3 - 40*i**2 - 8*i = 0.
-2, -1/5, 0, 2
Find x, given that 20*x**2/3 + 125*x/3 - 35 = 0.
-7, 3/4
Factor -3*t**2 + 39*t.
-3*t*(t - 13)
Let -3*c**2 + 2022*c - 2019 = 0. Calculate c.
1, 673
Find l such that 87*l**3 + 81*l**2 - 6*l = 0.
-1, 0, 2/29
Factor h**4 - 14*h**3 + 52*h**2 + 24*h - 288.
(h - 6)**2*(h - 4)*(h + 2)
Solve 4*t**3 - 124*t**2 - 544*t - 560 = 0.
-2, 35
Factor -4*l**3/5 + 1188*l**2/5 - 117612*l/5 + 3881196/5.
-4*(l - 99)**3/5
Determine s, given that -2*s**5 + 10*s**4/7 + 18*s**3/7 - 10*s**2/7 - 4*s/7 = 0.
-1, -2/7, 0, 1
Suppose -2*q**5/7 - 10*q**4 - 708*q**3/7 - 1664*q**2/7 - 1024*q/7 = 0. What is q?
-16, -2, -1, 0
Factor -3*j**2/2 - 141*j/2 - 135.
-3*(j + 2)*(j + 45)/2
Factor -2*z**2 + 2916*z - 1062882.
-2*(z - 729)**2
Factor -m**4/5 - 26*m**3/5 - 213*m**2/5 - 572*m/5 - 484/5.
-(m + 2)**2*(m + 11)**2/5
Find v such that -3*v**2 + 6*v + 72 = 0.
-4, 6
Factor 3*s**4/5 + 6*s**3 + 99*s**2/5 + 132*s/5 + 12.
3*(s + 1)*(s + 2)**2*(s + 5)/5
Suppose 32*i**2 + 46*i + 14 = 0. Calculate i.
-1, -7/16
Factor -f**5/2 - 439*f**4/2 - 48835