(n - 1)**2/2
Find k, given that -3*k**2/4 - 801*k/4 + 807/2 = 0.
-269, 2
Find s, given that -245*s**3 + 5355*s**2 - 13800*s + 9500 = 0.
10/7, 19
Factor v**2/10 - 31*v/5 + 61/10.
(v - 61)*(v - 1)/10
What is n in 6*n**5/7 + 3*n**4 - 18*n**3/7 - 3*n**2 + 12*n/7 = 0?
-4, -1, 0, 1/2, 1
Factor 3*m**2/4 + 21*m/2 + 39/4.
3*(m + 1)*(m + 13)/4
Suppose 3*f**4 - 1350*f**3 - 2712*f**2 = 0. What is f?
-2, 0, 452
Suppose 4*v**4 + 4*v**3 - 36*v**2 - 36*v = 0. What is v?
-3, -1, 0, 3
Factor 3*f**4/4 - 3*f**3/2 - 9*f**2 + 30*f - 24.
3*(f - 2)**3*(f + 4)/4
Let 12*z**4 - 116*z**3 + 212*z**2 + 84*z = 0. Calculate z.
-1/3, 0, 3, 7
Let k**4/4 + 39*k**3/2 + 75*k**2/4 - 77*k/2 = 0. Calculate k.
-77, -2, 0, 1
Factor 4*y**3 + 100*y**2 + 672*y + 576.
4*(y + 1)*(y + 12)**2
What is m in m**5 + m**4 - 3*m**3 - m**2 + 2*m = 0?
-2, -1, 0, 1
Determine k, given that k**4 + 28*k**3 + 286*k**2 + 1260*k + 2025 = 0.
-9, -5
Suppose g**4 - 13*g**3 + 18*g**2 + 160*g + 128 = 0. What is g?
-2, -1, 8
Let 3*x**4 + 24*x**3 = 0. Calculate x.
-8, 0
Determine c, given that -3*c**4 + 96*c**3 - 351*c**2 + 426*c - 168 = 0.
1, 2, 28
Suppose 4*x**5 - 204*x**4 + 2844*x**3 - 5076*x**2 - 25920*x + 62208 = 0. What is x?
-3, 3, 24
What is w in -w**2/3 + 4/3 = 0?
-2, 2
Factor 10*p**2/3 - 32*p + 86/3.
2*(p - 1)*(5*p - 43)/3
Solve -2*j**3 + 60*j**2 - 58*j = 0 for j.
0, 1, 29
Factor -p**3/5 + 23*p**2/5 + 10*p.
-p*(p - 25)*(p + 2)/5
Factor l**2/5 + l - 6/5.
(l - 1)*(l + 6)/5
Suppose -4*x**3 + 4*x**2 + 68*x + 60 = 0. Calculate x.
-3, -1, 5
Solve -4*h**4 - 76*h**3 - 312*h**2 - 464*h - 224 = 0.
-14, -2, -1
Factor 5*z**5 - 20*z**4 + 20*z**3 + 10*z**2 - 25*z + 10.
5*(z - 2)*(z - 1)**3*(z + 1)
Solve 5*t**5 - 190*t**4 + 185*t**3 = 0 for t.
0, 1, 37
Find n, given that -3*n**5/8 - 5877*n**4/8 - 2887065*n**3/8 - 8625963*n**2/8 - 1076778*n - 717363/2 = 0.
-978, -1
Factor -25*s**2 + 142*s - 184.
-(s - 2)*(25*s - 92)
Let -2*h**4/3 + 44*h**3/15 - 26*h**2/15 - 56*h/15 + 8/5 = 0. What is h?
-1, 2/5, 2, 3
Suppose 25*q**4/3 + 20*q**3/3 - 26*q**2/3 - 4*q + 3 = 0. What is q?
-1, 3/5
What is a in 10*a**2/9 + 376*a/9 - 152/9 = 0?
-38, 2/5
What is d in -5*d**5 - 175*d**4 - 1775*d**3 - 4325*d**2 - 4000*d - 1280 = 0?
-16, -1
Solve 3*b**2/5 - 279*b/5 + 702 = 0.
15, 78
What is b in 3*b**3 - 1476*b**2 + 181548*b = 0?
0, 246
Factor -3*q**2/5 + 39*q/5 + 144/5.
-3*(q - 16)*(q + 3)/5
Factor f**3/6 - 55*f**2/6 + 364*f/3 + 392/3.
(f - 28)**2*(f + 1)/6
Solve -3*l**4 - 26136*l**3 - 75898944*l**2 - 73470177792*l = 0.
-2904, 0
Find w, given that -2*w**3/11 - 18*w**2/11 - 12*w/11 + 32/11 = 0.
-8, -2, 1
Factor 5*j**2 - 4130*j - 4135.
5*(j - 827)*(j + 1)
Solve -2*y**3/3 - 8*y**2 + 2*y/3 + 8 = 0.
-12, -1, 1
Find n such that n**2/7 - 62*n/7 + 232/7 = 0.
4, 58
Factor -4*v**4 - 152*v**3 - 1716*v**2 - 5168*v - 4624.
-4*(v + 2)**2*(v + 17)**2
Factor 3*c**2 + 21*c - 132.
3*(c - 4)*(c + 11)
Factor n**3/4 + 15*n**2/4 - n/4 - 15/4.
(n - 1)*(n + 1)*(n + 15)/4
Determine n, given that 4*n**2 - 252*n + 248 = 0.
1, 62
Factor 2*g**3 - 174*g**2 - 720*g - 728.
2*(g - 91)*(g + 2)**2
Find g, given that -2*g**5/11 + 14*g**3/11 - 12*g**2/11 = 0.
-3, 0, 1, 2
Find k such that k**5/6 + 107*k**4/3 + 11869*k**3/6 + 7490*k**2 + 7350*k = 0.
-105, -2, 0
Factor j**3/9 - 14*j**2/9 + 8*j/3.
j*(j - 12)*(j - 2)/9
Factor 4*f**5 + 100*f**4 + 960*f**3 + 4480*f**2 + 10240*f + 9216.
4*(f + 4)**4*(f + 9)
What is j in -j**3/4 - 2039*j**2/4 = 0?
-2039, 0
Suppose -4*y**2 + 9136*y - 5216656 = 0. What is y?
1142
Factor -o**4/2 + 157*o**3/2 + 317*o**2/2 + 159*o/2.
-o*(o - 159)*(o + 1)**2/2
Suppose 10*a**5 - 16*a**4 - 118*a**3 + 76*a**2 + 48*a = 0. Calculate a.
-3, -2/5, 0, 1, 4
Factor -3*q**2 + 9*q + 12.
-3*(q - 4)*(q + 1)
Suppose b**2 + 115*b - 116 = 0. Calculate b.
-116, 1
Factor 5*n**3 + 2385*n**2 - 4785*n + 2395.
5*(n - 1)**2*(n + 479)
Let -3*u**3 + 924*u**2 - 1827*u - 2754 = 0. Calculate u.
-1, 3, 306
Factor -u**4 + 5*u**3 + 6*u**2.
-u**2*(u - 6)*(u + 1)
Factor 5*i**3/6 + 5*i**2/3 - 20*i/3.
5*i*(i - 2)*(i + 4)/6
Let 12*a**4 + 82*a**3/5 + 18*a**2/5 - 4*a/5 = 0. Calculate a.
-1, -1/2, 0, 2/15
Determine w, given that 4*w**3 - 44*w**2 + 40*w = 0.
0, 1, 10
Factor 5*w**2 + 1715*w + 3410.
5*(w + 2)*(w + 341)
Determine t, given that 136*t**4 + 948*t**3 + 2012*t**2 + 1164*t - 36 = 0.
-3, -1, 1/34
Find t such that 2*t**2/3 + 58*t/3 + 36 = 0.
-27, -2
Factor -m**2/6 - 2*m + 14/3.
-(m - 2)*(m + 14)/6
Factor -g**2 - 323*g + 324.
-(g - 1)*(g + 324)
Find w, given that -w**5 - 2*w**4 + 4*w**3 + 2*w**2 - 3*w = 0.
-3, -1, 0, 1
Let 2*w**5/3 + 62*w**4/3 + 160*w**3/3 - 224*w**2/3 = 0. Calculate w.
-28, -4, 0, 1
What is y in y**3/4 + 14*y**2 - 57*y/4 = 0?
-57, 0, 1
Factor -m**3/9 - 7*m**2/3 - 20*m/9.
-m*(m + 1)*(m + 20)/9
Solve 2*l**5/11 - 8*l**4 + 960*l**3/11 - 3744*l**2/11 + 4320*l/11 = 0.
0, 2, 6, 30
Factor -3*r**3 - 126*r**2 + 135*r + 258.
-3*(r - 2)*(r + 1)*(r + 43)
Factor x**2 + 19*x + 90.
(x + 9)*(x + 10)
What is v in -1085*v**3 - 2180*v**2 - 1105*v - 10 = 0?
-1, -2/217
Factor -3*q**3 - 189*q**2 - 3744*q - 23808.
-3*(q + 16)**2*(q + 31)
Factor -4*a**2 - 1448*a - 2880.
-4*(a + 2)*(a + 360)
Suppose 4*s**2 + 12*s = 0. Calculate s.
-3, 0
Factor -3969*p**2/5 - 252*p/5 - 4/5.
-(63*p + 2)**2/5
Let -2*j**5 + 48*j**4 - 330*j**3 + 484*j**2 = 0. Calculate j.
0, 2, 11
Let 2*m**4/7 + 1236*m**3/7 + 193418*m**2/7 + 758904*m/7 + 753992/7 = 0. What is m?
-307, -2
Solve 68*m**2 - 1164*m + 136 = 0 for m.
2/17, 17
Let -5*s**4 - 90*s**3 + 95*s**2 = 0. What is s?
-19, 0, 1
Suppose -62*z**4/3 - 121*z**3/3 + 2*z**2 = 0. What is z?
-2, 0, 3/62
Factor -5*i**2 - 5*i.
-5*i*(i + 1)
Factor 2*n**2/15 - 28*n/15 + 98/15.
2*(n - 7)**2/15
Solve 9*l**5/5 + 78*l**4/5 + 198*l**3/5 + 168*l**2/5 + 9*l/5 - 6 = 0 for l.
-5, -2, -1, 1/3
Suppose -6*g**2 - 477*g - 237 = 0. What is g?
-79, -1/2
Suppose -160*h**4/7 - 624*h**3/7 - 794*h**2/7 - 408*h/7 - 72/7 = 0. What is h?
-2, -3/4, -2/5
Solve 3*j**5 + 175*j**4/2 - 973*j**3/2 + 499*j**2/2 + 1947*j/2 + 153 = 0 for j.
-34, -1, -1/6, 3
Factor 4*f**2/7 - 384*f/7 + 356.
4*(f - 89)*(f - 7)/7
Factor -v**2/11 + 4580*v/11 - 5244100/11.
-(v - 2290)**2/11
Solve o**4 - 109*o**3 - o**2 + 109*o = 0.
-1, 0, 1, 109
Find a, given that -3*a**5 + 9*a**4 - 6*a**3 - 6*a**2 + 9*a - 3 = 0.
-1, 1
Factor -3*i**2 + 84*i - 585.
-3*(i - 15)*(i - 13)
Suppose 14*h**4 - 90*h**3 + 154*h**2 - 6*h - 72 = 0. What is h?
-4/7, 1, 3
What is u in -5*u**2 + 55*u + 60 = 0?
-1, 12
Factor -z**5 - 62*z**4 - 179*z**3 - 118*z**2.
-z**2*(z + 1)*(z + 2)*(z + 59)
Factor -b**2/3 + 28*b/3 - 32.
-(b - 24)*(b - 4)/3
Solve -5*m**5 - 45*m**4 - 125*m**3 - 135*m**2 - 50*m = 0 for m.
-5, -2, -1, 0
Let 3*a**5/4 + 9*a**4 + 42*a**3 + 189*a**2/2 + 405*a/4 + 81/2 = 0. Calculate a.
-3, -2, -1
Solve -417*v**3 + 414*v**2 + 837*v + 6 = 0.
-1, -1/139, 2
Factor i**3 + 78*i**2 + 1665*i + 5476.
(i + 4)*(i + 37)**2
Factor 3*w**5 + 78*w**4 + 648*w**3 + 1458*w**2 - 2187*w.
3*w*(w - 1)*(w + 9)**3
Suppose -3*a**3/2 + 33*a**2 - 123*a/2 + 30 = 0. What is a?
1, 20
Determine o so that -2*o**4/7 - 54*o**3/7 - 424*o**2/7 - 96*o + 1152/7 = 0.
-12, -4, 1
Determine b so that -b**5/5 - 87*b**4/5 + 1152*b**3/5 - 3564*b**2/5 = 0.
-99, 0, 6
Suppose -253265*o**3 + 41070*o**2 - 2220*o + 40 = 0. What is o?
2/37
Find b such that -b**3 + 5*b**2 - 3*b - 9 = 0.
-1, 3
Factor 2*p**2/3 - 304*p.
2*p*(p - 456)/3
Factor y**3/4 - y**2 + 5*y/4 - 1/2.
(y - 2)*(y - 1)**2/4
What is w in -w**5/4 - 3*w**4/4 + 5*w**3/4 + 15*w**2/4 - w - 3 = 0?
-3, -2, -1, 1, 2
Factor -l**2/8 + 123*l/8 + 31/2.
-(l - 124)*(l + 1)/8
What is t in -4*t**3/3 - 4*t**2/3 + 8*t = 0?
-3, 0, 2
Suppose o**4 + 35*o**3 + 323*o**2 + 289*o = 0. Calculate o.
-17, -1, 0
Factor -2*l**2 + 312*l + 632.
-2*(l - 158)*(l + 2)
Factor -b**2/3 + 1216*b/3 - 405.
-(b - 1215)*(b - 1)/3
Factor 588*s**2 + 1184*s + 16.
4*(s + 2)*(147*s + 2)
Solve 2*a**3/3 - 2*a**2 - 36*a = 0.
-6, 0, 9
Let 4*z**2 + 84*z = 0. Calculate z.
-21, 0
Solve -162*y**3/11 - 8820*y**2/11 - 3896*y/11 - 432/11 = 0 for y.
-54, -2/9
Factor -2*o**3/11 + 6*o**2/11 + 8*o/11.
-2*o*(o - 4)*(o + 1)/11
Factor 12*z**3 - 495*z**2 - 3909*z + 1008.
3*(z - 48)*(z + 7)*(4*z - 1)
Suppose -4*a**2 + 668*a - 3864 = 0. What is a?
6, 161
Solve -6*u**2 - 115*u - 221 = 0 for u.
-17, -13/6
Factor 3*v**2 + 870*v + 3432.
3*(v + 4)*(v + 286)
What is k in -2*k**2/3 + 508*k/3 - 32258/3 = 0?
127
Solve 4*r**3 + 