.
2*o**2*(o + 5)/7
Factor 26*g**4/7 + 152*g**3/7 - 24*g**2/7.
2*g**2*(g + 6)*(13*g - 2)/7
Factor -g**2/2 - 2*g - 3/2.
-(g + 1)*(g + 3)/2
Find t such that 5*t**3 - 75*t**2 = 0.
0, 15
Factor b**3 + 33*b**2 + 284*b + 252.
(b + 1)*(b + 14)*(b + 18)
What is n in -3*n**5 - 18*n**4 - 12*n**3 + 18*n**2 + 15*n = 0?
-5, -1, 0, 1
What is i in -342*i**3/11 - 984*i**2/11 - 542*i/11 - 84/11 = 0?
-42/19, -1/3
Determine c so that 3*c**5 + 18*c**4 + 27*c**3 + 12*c**2 = 0.
-4, -1, 0
Factor -2*f**2 - 46*f - 84.
-2*(f + 2)*(f + 21)
Suppose -214*r**4/9 - 644*r**3/9 + 640*r**2/3 - 1052*r/9 - 10/9 = 0. Calculate r.
-5, -1/107, 1
Find b such that 2*b**3/7 - 144*b**2/7 + 274*b/7 + 60 = 0.
-1, 3, 70
Let 2*c**3 + 8*c**2 - 10*c = 0. Calculate c.
-5, 0, 1
Factor -14*s**2 + 4*s - 2/7.
-2*(7*s - 1)**2/7
Let -68*k**2 - 960*k + 2192 = 0. Calculate k.
-274/17, 2
Determine d, given that -4*d**2/5 + 5016*d/5 - 1572516/5 = 0.
627
Let 14*a**2 - 1116*a - 320 = 0. Calculate a.
-2/7, 80
Suppose 2*p**4/3 + 2*p**3/3 - 8*p**2/3 - 8*p/3 = 0. Calculate p.
-2, -1, 0, 2
Let -3*l**3 - 144*l**2 - 141*l = 0. Calculate l.
-47, -1, 0
Suppose -r**5/2 + 11*r**4 - 59*r**3 + 96*r**2 + 63*r/2 - 135 = 0. Calculate r.
-1, 2, 3, 15
Suppose -2*k**4/21 - 8*k**3/21 - 8*k**2/21 = 0. What is k?
-2, 0
Factor -3*o**2 + 312*o - 3549.
-3*(o - 91)*(o - 13)
Factor 3*p**4 + 3*p**3 - 45*p**2 + 69*p - 30.
3*(p - 2)*(p - 1)**2*(p + 5)
Determine r so that -3*r**2 + 15543*r = 0.
0, 5181
Suppose -b**4 - 39*b**3 + 265*b**2 - 225*b = 0. Calculate b.
-45, 0, 1, 5
Suppose -4*z**2 + 196 = 0. Calculate z.
-7, 7
Find d, given that -21*d**5 - 246*d**4 - 684*d**3 + 216*d**2 = 0.
-6, 0, 2/7
Let -2*c**5/19 + 8*c**4/19 - 2*c**3/19 - 12*c**2/19 = 0. Calculate c.
-1, 0, 2, 3
Factor q**4 + 102*q**3 + 752*q**2.
q**2*(q + 8)*(q + 94)
Determine l, given that l**4 + 34*l**3/3 + 55*l**2/3 - 224*l/3 + 44 = 0.
-22/3, -6, 1
Factor 2*m**3 - 24*m**2 + 90*m - 100.
2*(m - 5)**2*(m - 2)
Factor 2*g**3/5 + 318*g**2/5 + 12798*g/5 + 12482/5.
2*(g + 1)*(g + 79)**2/5
Factor 22*z**5/3 - 15*z**4 + 2*z**3/3.
z**3*(z - 2)*(22*z - 1)/3
Find v, given that v**2/7 - 9*v/7 - 22/7 = 0.
-2, 11
Factor -k**5 + 67*k**4 - 1450*k**3 + 9062*k**2 + 22747*k + 12167.
-(k - 23)**3*(k + 1)**2
Determine x so that -3*x**3 + 60*x**2 - 237*x + 180 = 0.
1, 4, 15
Find p, given that 4*p**2 - 2136*p + 285156 = 0.
267
Solve -2*f**3 + 396*f**2 - 26136*f + 574992 = 0.
66
Find v, given that -2*v**5 - 14*v**4 - 26*v**3 - 2*v**2 + 28*v + 16 = 0.
-4, -2, -1, 1
What is w in 2*w**4 + 36*w**3 + 160*w**2 = 0?
-10, -8, 0
Determine f so that -2*f**2 - 14*f - 24 = 0.
-4, -3
Factor -4*j**4 + 228*j**3 - 3768*j**2 + 14768*j - 16224.
-4*(j - 26)**2*(j - 3)*(j - 2)
Determine d so that -d**2/5 + 184*d/5 - 8464/5 = 0.
92
Factor q**2/3 + 2918*q/3 + 2128681/3.
(q + 1459)**2/3
Factor 2*s**2/7 - 60*s/7 + 450/7.
2*(s - 15)**2/7
Factor 3*n**4 - 63*n**3 - 1368*n**2 + 1428*n.
3*n*(n - 34)*(n - 1)*(n + 14)
Factor 2*c**2/13 - 152*c/13 - 154/13.
2*(c - 77)*(c + 1)/13
Factor 3*w**3 + 513*w**2 - 1038*w.
3*w*(w - 2)*(w + 173)
Suppose -c**3/3 + 819*c**2 - 670761*c + 183117753 = 0. Calculate c.
819
Factor l**2/7 - 31*l/7 + 198/7.
(l - 22)*(l - 9)/7
Let -c**4/3 - 11*c**3/3 - 13*c**2/3 + 17*c + 18 = 0. Calculate c.
-9, -3, -1, 2
Factor -14*k**2 - 1268*k + 546.
-2*(k + 91)*(7*k - 3)
Suppose i**3 + 11*i**2 - 40*i + 28 = 0. What is i?
-14, 1, 2
What is x in 3*x**4 + 9*x**3 - 6*x**2 - 36*x - 24 = 0?
-2, -1, 2
Determine z so that z**5/4 - z**4/4 - 5*z**3/2 + z**2 + 6*z = 0.
-2, 0, 2, 3
Factor 17*z**3/4 + 919*z**2/2 + 12447*z + 1458.
(z + 54)**2*(17*z + 2)/4
Factor 2*b**3/3 + 26*b**2/3 + 110*b/3 + 50.
2*(b + 3)*(b + 5)**2/3
Factor -w**3/3 + 69*w**2 + w/3 - 69.
-(w - 207)*(w - 1)*(w + 1)/3
Let -5*f**3 + 90*f**2 - 235*f + 150 = 0. Calculate f.
1, 2, 15
Factor 35*l**2 + 1110*l - 320.
5*(l + 32)*(7*l - 2)
Let -3*m**5 + 15*m**4 + 9*m**3 - 51*m**2 + 30*m = 0. Calculate m.
-2, 0, 1, 5
Factor -2*k**2/11 - 684*k/11.
-2*k*(k + 342)/11
Determine x, given that -14*x**3 + 50*x**2 - 24*x = 0.
0, 4/7, 3
Factor 4*h**3/5 + 36*h**2/5 + 32*h/5.
4*h*(h + 1)*(h + 8)/5
Factor z**4 - 3*z**3 + 4*z.
z*(z - 2)**2*(z + 1)
Solve -4*n**3/9 + 80*n**2/9 - 212*n/9 + 136/9 = 0.
1, 2, 17
Solve -2*i**3/7 - 92*i**2 + 278*i - 1300/7 = 0.
-325, 1, 2
Factor -5*a**4 - 545*a**3 - 1055*a**2 + 1605*a.
-5*a*(a - 1)*(a + 3)*(a + 107)
What is p in -3*p**5 - 45*p**4 - 39*p**3 + 45*p**2 + 42*p = 0?
-14, -1, 0, 1
Determine m so that 4*m**2 - 56*m = 0.
0, 14
Factor 79*y**4/2 + 4*y**3 - 79*y**2/2 - 4*y.
y*(y - 1)*(y + 1)*(79*y + 8)/2
Let 4*k**2 + 24*k - 64 = 0. Calculate k.
-8, 2
Factor -3*d**3 + 87*d**2 + 3*d - 87.
-3*(d - 29)*(d - 1)*(d + 1)
Solve x**2/5 - 9*x + 464/5 = 0.
16, 29
Let -3*r**3 - 48*r**2 - 183*r - 198 = 0. Calculate r.
-11, -3, -2
Let 2*p**4/3 + 16*p**3/3 = 0. Calculate p.
-8, 0
Find g such that -2*g**3 + 1008*g**2 - 169344*g + 9483264 = 0.
168
Factor -3*q**2 + 18*q + 81.
-3*(q - 9)*(q + 3)
Let 2*h**2 + 64*h + 174 = 0. Calculate h.
-29, -3
Factor 2*l**3 - 12*l**2 - 176*l + 384.
2*(l - 12)*(l - 2)*(l + 8)
Factor r**5/4 + 2*r**4 + 23*r**3/4 + 7*r**2 + 3*r.
r*(r + 1)*(r + 2)**2*(r + 3)/4
Solve 152*v**3/7 - 260*v**2/7 - 544*v/7 - 132/7 = 0 for v.
-1, -11/38, 3
Factor 105*p**2/4 - 185*p/4 + 15.
5*(3*p - 4)*(7*p - 3)/4
Suppose -20*f**5 - 285*f**4 + 250*f**3 + 360*f**2 - 230*f - 75 = 0. What is f?
-15, -1, -1/4, 1
Find h, given that -4*h**3 - 100*h**2 - 316*h + 420 = 0.
-21, -5, 1
Suppose -3*w**3 + 186*w**2 + 381*w + 192 = 0. Calculate w.
-1, 64
Solve -5*y**5 - 35*y**4 + 60*y**3 + 140*y**2 - 160*y = 0 for y.
-8, -2, 0, 1, 2
Suppose -3*q**2 + 5127*q + 5130 = 0. Calculate q.
-1, 1710
Suppose -2*o**4/5 + 68*o**3/5 + 638*o**2/5 + 1408*o/5 + 168 = 0. Calculate o.
-5, -2, -1, 42
Factor 14*z**2/9 + 214*z/9 - 440/3.
2*(z + 20)*(7*z - 33)/9
Suppose r**2/4 + 5*r/2 - 50 = 0. Calculate r.
-20, 10
Factor 2*q**2/13 - 24*q/13 - 320/13.
2*(q - 20)*(q + 8)/13
Solve -3*w**5/2 + 13*w**4/2 - 19*w**3/2 + 11*w**2/2 - w = 0.
0, 1/3, 1, 2
Find x such that 4*x**3/3 - 36*x**2 - 112*x/3 = 0.
-1, 0, 28
Find u such that -3*u**5 - 6*u**4 + 12*u**3 + 24*u**2 = 0.
-2, 0, 2
Find m such that 12*m**2 - 14433*m - 3609 = 0.
-1/4, 1203
What is v in 5*v**3 + 145*v**2 + 400*v + 260 = 0?
-26, -2, -1
Determine b, given that 3*b**4 - 114*b**3 + 1551*b**2 - 8892*b + 18252 = 0.
6, 13
Factor -3*m**4 + 1026*m**3 + 1035*m**2 - 2058*m.
-3*m*(m - 343)*(m - 1)*(m + 2)
Let -410*r**4 + 716*r**3 + 232*r**2 - 48*r = 0. Calculate r.
-2/5, 0, 6/41, 2
Suppose 2*k**3 - 6*k**2 - 20*k = 0. What is k?
-2, 0, 5
Suppose -2*n**5 + 10*n**3 - 8*n = 0. Calculate n.
-2, -1, 0, 1, 2
Factor 6*m**2/11 + 78*m/11 - 84/11.
6*(m - 1)*(m + 14)/11
Factor w**2/8 + 415*w/4 + 172225/8.
(w + 415)**2/8
What is x in 2*x**4/9 - 14*x**3 + 922*x**2/9 - 782*x/3 + 220 = 0?
2, 3, 55
Factor 4*a**4 + 260*a**3 - 1088*a**2 + 1104*a.
4*a*(a - 2)**2*(a + 69)
Find m such that -2*m**3/9 + 1020*m**2 - 1560600*m + 795906000 = 0.
1530
Factor -3*m**3 + 891*m**2 - 1773*m + 885.
-3*(m - 295)*(m - 1)**2
Let c**5/7 - 2*c**4/7 - 5*c**3/7 + 6*c**2/7 = 0. Calculate c.
-2, 0, 1, 3
What is f in -2*f**4/5 - 212*f**3/5 - 5618*f**2/5 = 0?
-53, 0
Factor 2*o**3/5 + 4*o**2/5.
2*o**2*(o + 2)/5
Factor l**2/5 + 38*l/5 + 336/5.
(l + 14)*(l + 24)/5
Factor -s**4/3 + 49*s**3/3 + 154*s**2/3 + 104*s/3.
-s*(s - 52)*(s + 1)*(s + 2)/3
Suppose l**3/6 - 661*l**2/6 + 1319*l/6 - 659/6 = 0. What is l?
1, 659
Let -2*q**5/11 + 116*q**3/11 + 16*q**2 - 690*q/11 + 400/11 = 0. Calculate q.
-5, 1, 8
Solve 3*s**2 - 5364*s - 10740 = 0.
-2, 1790
Find q such that -3*q**3 - 24*q**2 + 159*q + 180 = 0.
-12, -1, 5
Solve 5*b**5 - 160*b**4 + 145*b**3 + 310*b**2 = 0.
-1, 0, 2, 31
Suppose 2*r**3/9 + 14*r**2/3 + 70*r/9 - 38/3 = 0. What is r?
-19, -3, 1
Factor 4*c**5 - 20*c**4 + 33*c**3 - 20*c**2 + 4*c.
c*(c - 2)**2*(2*c - 1)**2
Factor 2*n**2/5 - 2*n.
2*n*(n - 5)/5
Factor j**2 + 18*j + 32.
(j + 2)*(j + 16)
Factor -5*n**3/4 + 55*n**2 - 605*n.
-5*n*(n - 22)**2/4
Let 2*t**2/3 - 10256*t/3 - 10258/3 = 0. Calculate t.
-1, 5129
Suppose 2*j**2/5 - 2284*j/5 - 2286/5 = 0. Calculate j.
-1, 1143
Factor m**2/5 - 361*m/5 - 362/5.
(m - 362)*(m + 1)/5
Factor q**2/3 - 28*q + 588.
(q - 42)**2/3
Find q such that 3*q**5/5 - 36*q**4/5 - 141*q**3/5 + 54*q**2/5 + 516*q/5 + 72 = 0.
-2, -1, 2, 15
Find d such that -2*d**2/5 - 58*d/5 + 12 = 0