 -2*v**2 + 652*v - 1296.
-2*(v - 324)*(v - 2)
Let -3*g**4 - 19044*g**3 - 30241866*g**2 - 60426612*g - 30203787 = 0. What is g?
-3173, -1
Find q such that -2*q**4/5 + 648*q**3/5 - 14124*q**2 + 2656168*q/5 - 7350258/5 = 0.
3, 107
Let 45*k**5 - 350*k**4 + 235*k**3 + 70*k**2 = 0. Calculate k.
-2/9, 0, 1, 7
Factor -k**4/7 - 6*k**3/7 - 4*k**2/7 + 24*k/7 + 32/7.
-(k - 2)*(k + 2)**2*(k + 4)/7
Factor -w**2/9 + w/3 + 12.
-(w - 12)*(w + 9)/9
Determine o so that -5*o**3 + 60*o**2 - 135*o = 0.
0, 3, 9
Let 4*z**4 - 4*z**3 - 392*z**2 - 816*z + 3168 = 0. Calculate z.
-6, 2, 11
Determine n, given that -2*n**4 + 88*n**3 - 160*n**2 - 352*n + 672 = 0.
-2, 2, 42
Factor c**2/5 + 358*c/5 + 32041/5.
(c + 179)**2/5
Determine i, given that -7*i**4 - 716*i**3 + 1987*i**2 - 844*i - 420 = 0.
-105, -2/7, 1, 2
Solve -x**2 - 4094*x - 4190209 = 0 for x.
-2047
Determine p, given that -2*p**2 - 66*p - 280 = 0.
-28, -5
Solve p**5 - 6*p**4 + 12*p**3 - 10*p**2 + 3*p = 0 for p.
0, 1, 3
Factor -n**4 + 60*n**3 - 884*n**2 - 960*n + 14400.
-(n - 30)**2*(n - 4)*(n + 4)
Determine p, given that p**3/2 + 12*p**2 - 25*p/2 = 0.
-25, 0, 1
Factor -2*r**5/3 + 8*r**3/3.
-2*r**3*(r - 2)*(r + 2)/3
Factor -n**3/2 + 2*n**2 + 3*n/2 - 9.
-(n - 3)**2*(n + 2)/2
Solve 4*q**4/5 - 12*q**3 + 252*q**2/5 - 196*q/5 = 0.
0, 1, 7
Let -2*y**4/3 + 2*y**3/3 + 256*y**2/3 + 456*y + 672 = 0. What is y?
-6, -4, -3, 14
Factor 5*d**5 + 5*d**4 - 5*d**3 - 5*d**2.
5*d**2*(d - 1)*(d + 1)**2
Factor g**2 + 21*g - 46.
(g - 2)*(g + 23)
Suppose n**2 - 556*n = 0. Calculate n.
0, 556
Factor 3*r**4 + 9*r**3 + 9*r**2 + 3*r.
3*r*(r + 1)**3
Factor 2*p**3/23 + 1062*p**2/23 + 140448*p/23 - 141512/23.
2*(p - 1)*(p + 266)**2/23
Solve -10*q**4 + 495*q**3 - 2085*q**2 + 2720*q - 900 = 0.
1/2, 2, 45
Factor 4*q**4 - 88*q**3 - 16*q**2 + 352*q.
4*q*(q - 22)*(q - 2)*(q + 2)
Solve 98*x**4/5 + 154*x**3/3 + 344*x**2/15 - 56*x/15 - 32/15 = 0.
-2, -4/7, -1/3, 2/7
Factor -2*m**5 - 4*m**4 + 4*m**2 + 2*m.
-2*m*(m - 1)*(m + 1)**3
Let -5*n**3 + 10*n**2 + 5*n - 10 = 0. Calculate n.
-1, 1, 2
Let -2*y**5 + 4*y**4/5 + 22*y**3 - 224*y**2/5 + 152*y/5 - 32/5 = 0. What is y?
-4, 2/5, 1, 2
Factor -3*q**3 - 57*q**2.
-3*q**2*(q + 19)
Factor 9*o**2 + 377*o - 42.
(o + 42)*(9*o - 1)
Let -3*x**2/2 - 15*x + 36 = 0. What is x?
-12, 2
Suppose p**5/4 + 17*p**4/4 + 3*p**3 - 17*p**2 - 16*p = 0. Calculate p.
-16, -2, -1, 0, 2
Factor 5*q**4 - 60*q**3 - 495*q**2 - 810*q.
5*q*(q - 18)*(q + 3)**2
Determine w so that -2*w**3/5 - 68*w**2/5 + 512*w/5 + 256 = 0.
-40, -2, 8
Factor -14*a**3/3 + 30*a**2 - 106*a/3 + 10.
-2*(a - 5)*(a - 1)*(7*a - 3)/3
Factor -2*t**3/3 - 418*t**2/3 - 1648*t/3 - 1640/3.
-2*(t + 2)**2*(t + 205)/3
Determine d so that -2*d**2/7 + 190*d/7 - 188/7 = 0.
1, 94
Let -2*g**3/3 + 342*g**2 - 682*g + 1022/3 = 0. Calculate g.
1, 511
Factor -4*r**4 - 8*r**3 + 12*r**2.
-4*r**2*(r - 1)*(r + 3)
Factor 5*r**5 - 10*r**4 - 5*r**3 + 10*r**2.
5*r**2*(r - 2)*(r - 1)*(r + 1)
Factor -4*k**2 - 496*k + 1008.
-4*(k - 2)*(k + 126)
Factor -2*t**4/13 + 68*t**3/13.
-2*t**3*(t - 34)/13
Solve -4*c**3/9 + 4664*c**2/9 + 9340*c/9 + 4672/9 = 0.
-1, 1168
Factor -3*a**2/4 - 24*a + 819/4.
-3*(a - 7)*(a + 39)/4
Let -w**2/5 - 46*w/5 - 429/5 = 0. Calculate w.
-33, -13
Solve 92*r**4/11 - 203*r**3/11 - 239*r**2/11 + 59*r/11 + 3/11 = 0 for r.
-1, -1/23, 1/4, 3
Factor 4*a**2/9 - 50*a/3.
2*a*(2*a - 75)/9
Solve 3*k**2 + 330*k + 648 = 0.
-108, -2
Suppose 27*i**5/2 + 99*i**4/2 - 1671*i**3/2 + 477*i**2/2 + 444*i + 90 = 0. Calculate i.
-10, -1/3, 1, 6
What is z in 2*z**3/3 + 8*z**2 + 6*z - 44/3 = 0?
-11, -2, 1
Let -3*u**5 - 3*u**4 + 99*u**3 + 3*u**2 - 276*u + 180 = 0. Calculate u.
-6, -2, 1, 5
Factor -q**3/7 - 10*q**2/7 - 25*q/7.
-q*(q + 5)**2/7
Factor 5*s**3 - 45*s**2 + 55*s + 105.
5*(s - 7)*(s - 3)*(s + 1)
Factor -8*k**3 + 42*k**2 + 102*k - 28.
-2*(k - 7)*(k + 2)*(4*k - 1)
Factor -2*j**5/11 - 4*j**4/11.
-2*j**4*(j + 2)/11
Suppose -2*c**2/7 + 522*c/7 + 524/7 = 0. Calculate c.
-1, 262
Factor 5*m**2 - 24800*m + 24795.
5*(m - 4959)*(m - 1)
Suppose z**3/8 - 11*z**2/4 - 23*z/8 = 0. What is z?
-1, 0, 23
Factor 15*x**2/7 - 18*x/7 + 3/7.
3*(x - 1)*(5*x - 1)/7
Let 2*j**4 + 30*j**3 + 106*j**2 - 78*j - 540 = 0. Calculate j.
-9, -5, -3, 2
Determine r, given that -2*r**4/23 + 14*r**3/23 - 6*r**2/23 - 126*r/23 + 216/23 = 0.
-3, 3, 4
Find g, given that -g**5/3 - g**4/3 + 59*g**3 - 959*g**2/3 + 784*g/3 = 0.
-16, 0, 1, 7
Determine o so that 16*o**4 + 188*o**3 + 528*o**2 - 144*o = 0.
-6, 0, 1/4
Factor 3*u**2 - 118*u + 39.
(u - 39)*(3*u - 1)
What is l in l**5/4 + 3*l**4/2 + l**3 - 6*l**2 - 8*l = 0?
-4, -2, 0, 2
Determine x, given that -x**3/3 + 4*x**2 - 17*x/3 - 10 = 0.
-1, 3, 10
Factor 196*o**4 - 68880*o**3 + 6031888*o**2 + 3463680*o + 495616.
4*(o - 176)**2*(7*o + 2)**2
What is t in 2*t**3/7 - 6908*t**2/7 + 13810*t/7 - 6904/7 = 0?
1, 3452
Find d such that d**2/4 - 29*d/4 = 0.
0, 29
Factor -5*v**4 - 285*v**3 - 1035*v**2 + 1325*v.
-5*v*(v - 1)*(v + 5)*(v + 53)
Factor 2*a**2/9 + 22*a/9.
2*a*(a + 11)/9
Let -n**4/5 + 82*n**3/5 + 259*n**2/5 - 68*n = 0. What is n?
-4, 0, 1, 85
Factor 5*g**3 + 80*g**2 + 305*g + 330.
5*(g + 2)*(g + 3)*(g + 11)
Factor -5*t**5/4 + 25*t**4/4 + 65*t**3/4 + 35*t**2/4.
-5*t**2*(t - 7)*(t + 1)**2/4
Factor 3*p**5 + 24*p**4 + 63*p**3 + 66*p**2 + 24*p.
3*p*(p + 1)**2*(p + 2)*(p + 4)
Factor 2*t**2 + 50*t + 92.
2*(t + 2)*(t + 23)
Factor 2*f**3/5 + 24*f**2/5 + 24*f/5 - 32.
2*(f - 2)*(f + 4)*(f + 10)/5
Factor -v**2/8 + 2.
-(v - 4)*(v + 4)/8
Let 3*a**2 + 15*a - 42 = 0. Calculate a.
-7, 2
Find u, given that 5*u**3 + 10*u**2 - 45*u - 90 = 0.
-3, -2, 3
Solve -3*l**3 + 36*l**2 - 105*l = 0 for l.
0, 5, 7
Solve 2*a**5 - 2818*a**4 + 999662*a**3 - 4947702*a**2 + 6907680*a - 2956824 = 0.
1, 3, 702
Determine i, given that -17*i**5/4 + 9*i**4 + 47*i**3/4 - 71*i**2/2 + 21*i - 2 = 0.
-2, 2/17, 1, 2
Factor -98*j**3/9 - 112*j**2 - 288*j.
-2*j*(7*j + 36)**2/9
Let -w**2/8 - 21*w/4 + 135/8 = 0. Calculate w.
-45, 3
Determine s, given that -7*s**3 + 5*s**2 + 2*s = 0.
-2/7, 0, 1
Find b, given that b**5/6 + 5*b**4/3 + 6*b**3 + 28*b**2/3 + 16*b/3 = 0.
-4, -2, 0
Factor u**2/3 - 38*u/3 - 41.
(u - 41)*(u + 3)/3
Suppose -2*s**5/11 - 38*s**4/11 - 248*s**3/11 - 576*s**2/11 + 864/11 = 0. What is s?
-6, -2, 1
Suppose 36*m**4 - 112*m**3 + 120*m**2 - 48*m + 4 = 0. Calculate m.
1/9, 1
Factor 20*t**3 - 168*t**2 + 304*t - 96.
4*(t - 6)*(t - 2)*(5*t - 2)
Suppose 3*c**4 + 114*c**3 + 216*c**2 = 0. What is c?
-36, -2, 0
Solve -120125*a**4 + 714550*a**3 - 1044005*a**2 - 55320*a - 720 = 0 for a.
-4/155, 3
Let -4*c**4 + 48*c**3 - 72*c**2 - 560*c + 588 = 0. What is c?
-3, 1, 7
Find f such that 5*f**2 - 335*f + 330 = 0.
1, 66
Solve -4*c**2/7 + 4/7 = 0.
-1, 1
Factor -2405*s**2/3 + 10*s.
-5*s*(481*s - 6)/3
Solve 48*m**5/7 - 264*m**4 - 4821*m**3/7 - 4029*m**2/7 - 1227*m/7 - 123/7 = 0.
-1, -1/4, 41
What is o in 6*o**5/7 - 72*o**4/7 - 90*o**3/7 + 156*o**2/7 = 0?
-2, 0, 1, 13
Determine x so that -x**5/3 - 3*x**4 + 49*x**3/3 - 43*x**2/3 - 16*x + 52/3 = 0.
-13, -1, 1, 2
Suppose 2*g**3/7 + 284*g**2/7 + 9792*g/7 - 20736/7 = 0. Calculate g.
-72, 2
Suppose 4*w**4 + 52*w**3 - 212*w**2 - 4020*w - 10800 = 0. What is w?
-12, -5, 9
Factor b**2/4 - 83*b/2 + 6889/4.
(b - 83)**2/4
Suppose 4*b**4 + 24*b**3 - 108*b**2 + 16*b + 144 = 0. Calculate b.
-9, -1, 2
Suppose s**2/6 + s/3 - 1/2 = 0. What is s?
-3, 1
Factor -5*w**4 + 80*w**3 - 240*w**2.
-5*w**2*(w - 12)*(w - 4)
Determine c, given that 2*c**4/11 - 70*c**3/11 - 82*c**2/11 + 366*c/11 - 216/11 = 0.
-3, 1, 36
Let z**3/6 - z/2 + 1/3 = 0. What is z?
-2, 1
Find a, given that 7*a**5 + 19*a**4 - 69*a**3 + 53*a**2 - 10*a = 0.
-5, 0, 2/7, 1
Suppose -2*n**5/9 - 16*n**4/9 + 32*n**3/9 + 124*n**2/9 - 10*n/3 - 12 = 0. Calculate n.
-9, -2, -1, 1, 3
Factor -40*n**3 + 55*n**2 + 10*n - 25.
-5*(n - 1)**2*(8*n + 5)
Factor 3*z**5 - 2697*z**4 - 10818*z**3 - 16242*z**2 - 10833*z - 2709.
3*(z - 903)*(z + 1)**4
Determine j, given that 5*j**2 - 435*j = 0.
0, 87
Find i, given that i**4/3 + 2*i**3 - i**2/3 - 2*i = 0.
-6, -1, 0, 1
Factor 2*d**5/3 - 1658*d**4/3 + 346100*d**3/3 - 1028372*d**2/3 + 1025066*d/3 - 341138/3.
2*(d - 413)**2*(d - 1)**3/3
Determine v so that -100*v**3 - 3080*v**2 - 20336*v + 53792 = 0.
-82/5, 2
Solve -3*v**3 - 516*v**2 - 1023*v - 510 = 0.
-170, -1
Find r, given that -3*r**2/4 - 3*r/2 = 0.
-2, 0
Factor 2*g**3/5 + 8*g**2/5 - 218*g/5 +