ine g so that -g**4 - 6*g**3 + 31*g**2 + 36*g = 0.
-9, -1, 0, 4
Solve -2*p**2/7 - 30*p/7 - 52/7 = 0.
-13, -2
Solve -2*y**3/5 = 0 for y.
0
Factor p**2 - 112*p - 228.
(p - 114)*(p + 2)
Factor -3*q**2 + 32706*q - 89140203.
-3*(q - 5451)**2
Factor 2*s**3 - 122*s**2/3 - 28*s.
2*s*(s - 21)*(3*s + 2)/3
What is t in 10*t**5/17 + 284*t**4/17 + 1772*t**3/17 - 208*t**2 + 570*t/17 + 900/17 = 0?
-15, -2/5, 1
Solve -2*k**3/9 - 554*k**2/9 - 12880*k/3 - 4232 = 0.
-138, -1
Factor 3*x**2/5 - 6852*x/5 + 6849/5.
3*(x - 2283)*(x - 1)/5
Factor -3*k**3 + 33*k**2 - 24*k - 60.
-3*(k - 10)*(k - 2)*(k + 1)
Factor 2*n**2/3 + 2416*n/3 + 729632/3.
2*(n + 604)**2/3
What is t in t**3/5 + 4*t**2/5 - 39*t/5 - 126/5 = 0?
-7, -3, 6
Factor -2*u**2/11 - 124*u/11 - 464/11.
-2*(u + 4)*(u + 58)/11
Find j, given that -j**3/3 - 116*j**2 + 1051*j/3 - 234 = 0.
-351, 1, 2
Determine z so that 14*z**4/17 - 1200*z**3/17 - 1562*z**2/17 - 348*z/17 = 0.
-1, -2/7, 0, 87
Find d, given that -2*d**4/3 + 40*d**3/3 - 74*d**2/3 + 12*d = 0.
0, 1, 18
Factor -g**2 - 13*g + 14.
-(g - 1)*(g + 14)
Find r, given that r**4 + 3*r**3 + 3*r**2 + r = 0.
-1, 0
Factor 5*p**2 - 150*p - 680.
5*(p - 34)*(p + 4)
Determine l so that l**2/8 - 3*l/2 + 27/8 = 0.
3, 9
Suppose 9*o**4/4 + 2679*o**3/4 + 1783*o**2/4 + 297*o/4 = 0. Calculate o.
-297, -1/3, 0
Factor 4*k**4 + 8*k**3 - 12*k**2 - 16*k + 16.
4*(k - 1)**2*(k + 2)**2
Let 2*q**2 + 32*q + 78 = 0. What is q?
-13, -3
Find f, given that 2*f**4 - 2*f**3 - 50*f**2 + 50*f = 0.
-5, 0, 1, 5
Suppose -r**2/5 + 2726*r/5 - 1857769/5 = 0. What is r?
1363
Factor 3*o**2 + 810*o + 54675.
3*(o + 135)**2
Factor 2*b**3 - 26*b**2 - 18*b + 810.
2*(b - 9)**2*(b + 5)
Factor t**2/5 - 8*t.
t*(t - 40)/5
Find k, given that -6*k**5/5 - 2*k**4 + 84*k**3/5 - 16*k**2 = 0.
-5, 0, 4/3, 2
Let -2*s**5 - 10*s**4 + 16*s**3 + 24*s**2 = 0. Calculate s.
-6, -1, 0, 2
Factor -3*x**2/4 - 132*x - 5808.
-3*(x + 88)**2/4
Let -3*z**5/2 + 3*z**4 + 9*z**3 - 12*z**2 - 15*z/2 + 9 = 0. Calculate z.
-2, -1, 1, 3
Solve -6*q**5/13 + 10*q**4 + 62*q**3/13 - 378*q**2/13 - 392*q/13 - 88/13 = 0 for q.
-1, -1/3, 2, 22
Factor 3*x**2 - 246*x.
3*x*(x - 82)
Factor 5*j**4/4 + 5*j**3/4 - 115*j**2/4 + 15*j/4 + 225/2.
5*(j - 3)**2*(j + 2)*(j + 5)/4
What is j in -j**2/2 + 112*j + 681/2 = 0?
-3, 227
Solve 2*a**4/9 - 10*a**3/9 - 14*a**2/9 + 10*a/9 + 4/3 = 0.
-1, 1, 6
Factor 2*d**2/7 - 16*d/7 + 32/7.
2*(d - 4)**2/7
Factor -2*h**3 - 60*h**2 + 2*h + 60.
-2*(h - 1)*(h + 1)*(h + 30)
Suppose 36*t**4 + 84*t**3 + 4*t**2 - 36*t + 8 = 0. What is t?
-2, -1, 1/3
Let 5*q**3 - 95*q**2/2 - 110*q - 115/2 = 0. Calculate q.
-1, 23/2
Solve 6*t**4/5 - 51*t**3/5 - 96*t**2/5 + 51*t/5 + 18 = 0.
-3/2, -1, 1, 10
Find u, given that 4*u**4/3 - 32*u**3/3 + 92*u**2/3 - 112*u/3 + 16 = 0.
1, 2, 3
Suppose -10*g**5/9 + 236*g**4/9 + 616*g**3/9 + 208*g**2/9 = 0. Calculate g.
-2, -2/5, 0, 26
Factor -4*i**4 - 8*i**3 + 12*i**2 + 32*i + 16.
-4*(i - 2)*(i + 1)**2*(i + 2)
Factor -2*b**3/3 - 5662*b**2/3 - 4010110*b/3 - 4004450/3.
-2*(b + 1)*(b + 1415)**2/3
Factor -4*c**2/7 - 80*c/7 + 176/7.
-4*(c - 2)*(c + 22)/7
Factor -w**2/6 - 106*w/3 + 218.
-(w - 6)*(w + 218)/6
Factor -3*b**3 + 17091*b**2 - 32455809*b + 20544527097.
-3*(b - 1899)**3
Suppose -2*c**4/13 + 36*c**3/13 - 58*c**2/13 - 96*c/13 = 0. What is c?
-1, 0, 3, 16
Find m such that m**5/7 + 3*m**4/7 - m**3/7 - 3*m**2/7 = 0.
-3, -1, 0, 1
Factor -2*p**5 + 2*p**4 + 2*p**3 - 2*p**2.
-2*p**2*(p - 1)**2*(p + 1)
Let u**2/4 + 59*u/2 + 345/4 = 0. Calculate u.
-115, -3
Factor -g**3/2 + 3921*g**2/2 - 1922760*g + 1920800.
-(g - 1960)**2*(g - 1)/2
Factor -q**4/5 - 3*q**3/5 + q**2 + 3*q/5 - 4/5.
-(q - 1)**2*(q + 1)*(q + 4)/5
Solve -10206*y**5/5 - 2430*y**4 + 2808*y**3 - 928*y**2 + 128*y - 32/5 = 0.
-2, 1/7, 2/9
Find x such that 2*x**4/13 - 14*x**3/13 + 32*x**2/13 - 24*x/13 = 0.
0, 2, 3
Solve 2*c**4/9 - 308*c**3/9 - 622*c**2/9 - 104*c/3 = 0 for c.
-1, 0, 156
Factor -2*n**4 - 4704*n**3 - 4148928*n**2 - 1626379776*n - 239077827072.
-2*(n + 588)**4
Let -3*s**2/8 + 429*s/4 + 216 = 0. What is s?
-2, 288
Suppose 3*n**3 + 477*n**2 + 468*n - 948 = 0. What is n?
-158, -2, 1
Determine g, given that -3*g**3 - 9*g**2 - 6*g = 0.
-2, -1, 0
Let 5*s**2 - 1175*s = 0. What is s?
0, 235
Find n such that -2*n**2/3 + 11404*n/3 - 16256402/3 = 0.
2851
Factor 4*v**2 + 164*v + 592.
4*(v + 4)*(v + 37)
Factor n**2/6 + 14*n/3 + 98/3.
(n + 14)**2/6
Let -3*p**2 - 54*p - 240 = 0. Calculate p.
-10, -8
Solve -4*h**5 - 28*h**4 - 44*h**3 - 20*h**2 = 0.
-5, -1, 0
Factor 18*j**3/5 + 148*j**2/5 - 562*j/5 - 132/5.
2*(j - 3)*(j + 11)*(9*j + 2)/5
Solve 2*b**2/5 + 76*b/5 + 74/5 = 0 for b.
-37, -1
Determine x, given that -45*x**3 + 96*x**2 - 57*x + 6 = 0.
2/15, 1
Suppose -10*h**5 - 44*h**4 - 76*h**3 - 64*h**2 - 26*h - 4 = 0. What is h?
-1, -2/5
Suppose -2*t**3/3 + 14*t/3 - 4 = 0. What is t?
-3, 1, 2
Factor -4*v**4 - 24*v**3 + 80*v**2 + 96*v - 256.
-4*(v - 2)**2*(v + 2)*(v + 8)
Let 5*r**2 - 195*r + 1620 = 0. What is r?
12, 27
Factor 2*x**2/3 - 10*x/3 - 4.
2*(x - 6)*(x + 1)/3
Factor -5*l**4 + 560*l**3 - 4770*l**2 + 14040*l - 13905.
-5*(l - 103)*(l - 3)**3
What is t in 5*t**5/2 + 11*t**4/2 - 3*t**3/2 - 11*t**2/2 - t = 0?
-2, -1, -1/5, 0, 1
Factor -2*s**5/7 + 12*s**4/7 - 18*s**3/7 + 8*s**2/7.
-2*s**2*(s - 4)*(s - 1)**2/7
Factor 18*s**3/17 - 1500*s**2/17 - 1006*s/17 - 168/17.
2*(s - 84)*(3*s + 1)**2/17
Suppose 34*j**2/13 - 212*j/13 + 48/13 = 0. Calculate j.
4/17, 6
Suppose -4*r**2 - 688*r + 1392 = 0. Calculate r.
-174, 2
Factor -4*z**2 - 1216*z - 92416.
-4*(z + 152)**2
Factor 32*y**3 + 1040*y**2 + 514*y + 64.
2*(y + 32)*(4*y + 1)**2
Suppose -28*r**5 - 988*r**4 - 5460*r**3 - 10580*r**2 - 7472*r - 1392 = 0. Calculate r.
-29, -3, -2, -1, -2/7
Factor q**2 + 2780*q - 2781.
(q - 1)*(q + 2781)
Determine s, given that -2*s**4/3 + 4*s**3 + 50*s**2/3 + 12*s = 0.
-2, -1, 0, 9
Find v, given that 3*v**3/7 - 33*v**2/7 = 0.
0, 11
Solve 14*c**4 + 3028*c**3 + 18630*c**2 + 31536*c + 7560 = 0 for c.
-210, -3, -2/7
Solve -15*r**4 + 95*r**3 + 195*r**2 + 45*r - 40 = 0 for r.
-1, 1/3, 8
Factor -2*w**5/9 + 332*w**4/9 + 338*w**3/3.
-2*w**3*(w - 169)*(w + 3)/9
Determine s so that -291*s**5/5 + 867*s**4/5 - 564*s**3/5 - 12*s**2/5 = 0.
-2/97, 0, 1, 2
Suppose -4*n**3/5 + 64*n**2/5 - 36*n - 648/5 = 0. What is n?
-2, 9
Factor 6*k**3 + 87*k**2 - 48*k - 45.
3*(k - 1)*(k + 15)*(2*k + 1)
Factor 5*j**2 + 5640*j - 5645.
5*(j - 1)*(j + 1129)
Factor -214*t**3 - 850*t**2 + 24*t.
-2*t*(t + 4)*(107*t - 3)
Factor -4*n**4 + 80*n**3 + 104*n**2 - 432*n + 252.
-4*(n - 21)*(n - 1)**2*(n + 3)
Find w such that -2*w**5 - 8*w**4 + 126*w**3 + 20*w**2 - 376*w + 240 = 0.
-10, -2, 1, 6
Factor 18*n**4 - 50*n**3 + 24*n**2 + 8*n.
2*n*(n - 2)*(n - 1)*(9*n + 2)
Factor 4*z**3 + 940*z**2 + 54752*z - 55696.
4*(z - 1)*(z + 118)**2
Factor -3*i**5/5 - 543*i**4/5 - 5544*i**3 - 275184*i**2/5.
-3*i**2*(i + 13)*(i + 84)**2/5
Let -5*g**4 - 140*g**3 - 1440*g**2 - 6400*g - 10240 = 0. What is g?
-8, -4
Find k such that -k**2/3 + 3326*k/3 - 2765569/3 = 0.
1663
Factor 3*m**2 - 24*m - 60.
3*(m - 10)*(m + 2)
Let -x**3 - 9*x**2 + 30*x + 88 = 0. What is x?
-11, -2, 4
Find k such that 2*k**3/5 - 1864*k**2 + 2171560*k = 0.
0, 2330
Suppose 5*y**4 - 1060*y**3 + 9255*y**2 - 24440*y + 16240 = 0. Calculate y.
1, 4, 203
Suppose -2*z**4/13 - 32*z**3/13 - 154*z**2/13 - 196*z/13 = 0. Calculate z.
-7, -2, 0
Factor 2*i**2 + 332*i.
2*i*(i + 166)
Determine n so that -2*n**2 + 11016*n + 11018 = 0.
-1, 5509
Factor l**4/2 - 7*l**3/2 - l**2/2 + 7*l/2.
l*(l - 7)*(l - 1)*(l + 1)/2
Let p**3/7 - 36*p**2/7 + 432*p/7 - 1728/7 = 0. Calculate p.
12
Let o**4/6 - o**3/3 - 2*o**2/3 + o/3 + 1/2 = 0. What is o?
-1, 1, 3
Factor 2*s**4 + 14*s**3 - 54*s**2 + 58*s - 20.
2*(s - 1)**3*(s + 10)
Factor 4*o**3/3 - 92*o**2/3 - 196*o/3 - 100/3.
4*(o - 25)*(o + 1)**2/3
Determine w, given that -63*w**2/5 - 762*w/5 - 72/5 = 0.
-12, -2/21
Suppose -2*w**2/15 - 74*w/5 + 468/5 = 0. What is w?
-117, 6
Factor -q**3 + 84*q**2 + 261*q.
-q*(q - 87)*(q + 3)
Solve -4*p**3 - 2236*p**2 - 313596*p - 311364 = 0 for p.
-279, -1
Determine m so that 3*m**2 - 3810*m + 1209675 = 0.
635
Solve -2*j**2/13 - 42*j/13 - 76/13 = 0.
-19, -2
Find s, given that -4*s**4 - 36*s**3 + 64*s**2 + 240*s = 0.
-10, -2, 0, 3
Factor 4*n**4 + 60*n**3 - 864*n**2.
4*n**2*(n - 9)*(n + 24)
Factor 4394*w**5/9 - 20956*w**4/9 + 39962*w**3/9 - 4232*w**2 + 2016