11*p**2/3 + 20*p = 0. Calculate p.
-15, 0, 4
Let -25*g**4 - 310*g**3 - 1295*g**2 - 1970*g - 600 = 0. Calculate g.
-5, -4, -3, -2/5
Find v such that 2*v**4 - 5400*v**3 + 3650396*v**2 - 7284600*v + 3639602 = 0.
1, 1349
Suppose -q**3 - 54*q**2 - 53*q = 0. Calculate q.
-53, -1, 0
Determine t, given that 7*t**4 - 103*t**3 - 408*t**2 - 108*t = 0.
-3, -2/7, 0, 18
Find v such that 4*v**4 - 76*v**3 - 84*v**2 + 76*v + 80 = 0.
-1, 1, 20
Factor -2*b**2 - 1084*b - 146882.
-2*(b + 271)**2
Factor -2*p**4/9 + 100*p**3/3 - 14066*p**2/9 + 70400*p/3 - 991232/9.
-2*(p - 64)**2*(p - 11)**2/9
Determine a, given that -4*a**2 - 17968*a - 20178064 = 0.
-2246
Factor -2*k**2 - 38*k + 132.
-2*(k - 3)*(k + 22)
Factor -86*a**3/5 - 184*a**2/5 - 22*a - 12/5.
-2*(a + 1)**2*(43*a + 6)/5
Factor -3*p**3/4 - 165*p**2/4 - 153*p.
-3*p*(p + 4)*(p + 51)/4
Factor a**3/4 + 1529*a**2/8 + 73153*a/2 + 36481/2.
(a + 382)**2*(2*a + 1)/8
Factor -5*c**3 - 1445*c**2.
-5*c**2*(c + 289)
What is x in 12*x**5 + 32*x**4 - 20*x**3 - 24*x**2 = 0?
-3, -2/3, 0, 1
Factor 4*u**2 + 80*u - 384.
4*(u - 4)*(u + 24)
Find m such that 5*m**2 + 280*m - 580 = 0.
-58, 2
Factor -10*u**2 - 1394*u - 556.
-2*(u + 139)*(5*u + 2)
Suppose 5*q**4/4 - 75*q**3/4 - 85*q**2/4 + 75*q/4 + 20 = 0. Calculate q.
-1, 1, 16
Determine j so that -j**5/3 - 10*j**4/3 + 25*j**3/3 + 10*j**2/3 - 8*j = 0.
-12, -1, 0, 1, 2
Determine u, given that 108*u**5 + 480*u**4 - 428*u**3 - 560*u**2 + 400*u = 0.
-5, -10/9, 0, 2/3, 1
Factor 3*p**2 + 240*p + 4800.
3*(p + 40)**2
Let -2*t**5/7 - 20*t**4/7 - 44*t**3/7 + 8*t**2 + 110*t/7 - 100/7 = 0. What is t?
-5, -2, 1
Factor -w**3/2 + 6767*w**2/2 - 11451455*w/2 + 11444689/2.
-(w - 3383)**2*(w - 1)/2
Factor -g**2/10 - 53*g/5 + 107/10.
-(g - 1)*(g + 107)/10
Suppose -6*d**3/5 + 156*d**2/5 - 1254*d/5 + 2904/5 = 0. What is d?
4, 11
Factor -z**3/3 - 16*z**2/3 - 28*z/3.
-z*(z + 2)*(z + 14)/3
Solve 2*q**4 - 8*q**3 - 54*q**2 - 76*q - 32 = 0.
-2, -1, 8
Determine i, given that 3721*i**2/7 - 122*i/7 + 1/7 = 0.
1/61
Determine o so that 3*o**3/4 + 627*o**2/4 + 33681*o/4 + 95481/4 = 0.
-103, -3
Determine n, given that 6*n**3/5 - 42*n**2/5 - 468*n/5 = 0.
-6, 0, 13
Solve y**2/4 - 129*y/4 + 595/2 = 0.
10, 119
Factor 3*g**2 + 15*g - 72.
3*(g - 3)*(g + 8)
Determine k, given that k**3/7 - 25*k**2/7 - k/7 + 25/7 = 0.
-1, 1, 25
Determine t, given that t**2/5 + 78*t/5 + 297 = 0.
-45, -33
Factor 3*r**2/4 - 198*r + 393.
3*(r - 262)*(r - 2)/4
What is r in -4*r**4 - 36*r**3 - 88*r**2 + 128 = 0?
-4, -2, 1
Factor v**2/2 - 39*v/4 - 5.
(v - 20)*(2*v + 1)/4
Factor -3*d**3 - 483*d**2 + 975*d - 489.
-3*(d - 1)**2*(d + 163)
What is y in 2*y**2/11 + 42*y/11 + 20 = 0?
-11, -10
Factor b**4/4 + 7*b**3 + 52*b**2 + 132*b + 108.
(b + 2)**2*(b + 6)*(b + 18)/4
What is y in 5*y**2 - 40*y + 75 = 0?
3, 5
Factor -5*d**3 + 1230*d**2 - 75645*d.
-5*d*(d - 123)**2
Let 4*j**5/13 + 14*j**4/13 - 14*j**3/13 - 24*j**2/13 = 0. What is j?
-4, -1, 0, 3/2
Factor 45*y**4 - 1430*y**3 + 5755*y**2 + 1350*y.
5*y*(y - 27)*(y - 5)*(9*y + 2)
Factor -3*r**3 + 3*r**2 + 18*r.
-3*r*(r - 3)*(r + 2)
What is l in -3*l**5 + 27*l**3 - 12*l**2 - 36*l = 0?
-3, -1, 0, 2
Suppose 3*a**5/2 - 13*a**3/6 + 2*a/3 = 0. Calculate a.
-1, -2/3, 0, 2/3, 1
Solve 20*q**3/7 + 32*q**2/7 - 76*q/7 + 24/7 = 0 for q.
-3, 2/5, 1
Factor -s**2 - 70*s - 1225.
-(s + 35)**2
Factor -3*l**3 - 18*l**2 + 21*l.
-3*l*(l - 1)*(l + 7)
Factor 4*u**2 + 384*u + 9216.
4*(u + 48)**2
Factor 4*v**2 + 48*v + 108.
4*(v + 3)*(v + 9)
Determine m so that -3*m**2 + 48*m - 165 = 0.
5, 11
Factor -3*m**2 + 6*m + 105.
-3*(m - 7)*(m + 5)
Let -10*k**4 + 4*k**3 = 0. What is k?
0, 2/5
Find m such that m**3 + 40*m**2 + 147*m + 108 = 0.
-36, -3, -1
Factor -3*q**4 - 39*q**3 - 171*q**2 - 285*q - 150.
-3*(q + 1)*(q + 2)*(q + 5)**2
Factor n**4/3 - 2*n**3/3 - 4*n**2 + 40*n/3 - 32/3.
(n - 2)**3*(n + 4)/3
Factor -100*r**3 + 1580*r**2 - 1216*r + 240.
-4*(r - 15)*(5*r - 2)**2
Factor -h**2 + 258*h - 765.
-(h - 255)*(h - 3)
Factor 4*c**2 + 392*c + 1860.
4*(c + 5)*(c + 93)
Factor 45*a**3 + 1200*a**2 + 10340*a + 29040.
5*(a + 12)*(3*a + 22)**2
Factor 4*y**2/5 + 44*y.
4*y*(y + 55)/5
Factor z**2/2 + 5*z/2 - 3.
(z - 1)*(z + 6)/2
Find i, given that i**4/10 + 18*i**3/5 - 37*i**2/10 = 0.
-37, 0, 1
Let l**2/8 + 97*l/4 - 195/8 = 0. What is l?
-195, 1
Solve 2*o**4/3 + 56*o**3/3 + 160*o**2 + 384*o = 0 for o.
-12, -4, 0
Factor 15*x**3 + 4610*x**2 - 12380*x + 6200.
5*(x - 2)*(x + 310)*(3*x - 2)
Factor -2*d**2/17 - 4324*d/17 - 2337122/17.
-2*(d + 1081)**2/17
Solve -2*i**2/11 + 134*i/11 - 12 = 0 for i.
1, 66
Factor 5*i**3 - 60*i**2 - 20*i + 240.
5*(i - 12)*(i - 2)*(i + 2)
Find l, given that -3*l**2/2 - 1173*l/2 + 588 = 0.
-392, 1
Suppose -2*d**3 + 925*d**2 - 461*d - 462 = 0. What is d?
-1/2, 1, 462
Suppose -478*w**2 + 466*w + 12 = 0. Calculate w.
-6/239, 1
Find b such that 2*b**3/7 - 2*b**2/7 - 24*b/7 = 0.
-3, 0, 4
Factor 13450*z**2 + 13445*z - 5.
5*(z + 1)*(2690*z - 1)
Determine x, given that -2*x**2 - 300*x + 608 = 0.
-152, 2
What is o in -o**2/8 - 152*o - 46208 = 0?
-608
Factor -16*f**3 - 172*f**2 + 1324*f - 320.
-4*(f - 5)*(f + 16)*(4*f - 1)
Let 4*i**4/13 + 6*i**3/13 - 6*i**2/13 - 4*i/13 = 0. Calculate i.
-2, -1/2, 0, 1
Factor -3*i**4 - 21*i**3/4 + 3*i**2/2.
-3*i**2*(i + 2)*(4*i - 1)/4
Suppose 2*h**4/5 - 12*h**3/5 + 2*h**2 = 0. Calculate h.
0, 1, 5
Factor 4*k**3 + 1463*k**2 + 3999*k + 2178.
(k + 2)*(k + 363)*(4*k + 3)
Find x such that 5*x**4 + 3375*x**3 - 6765*x**2 + 3385*x = 0.
-677, 0, 1
Find q such that -q**4 + 2*q**3 - 2*q + 1 = 0.
-1, 1
What is q in 2*q**2/3 - 28*q/3 - 320 = 0?
-16, 30
Factor -27*n**2/8 - 39*n/2 + 9/2.
-3*(n + 6)*(9*n - 2)/8
Suppose -4*t**4 - 40*t**3 + 700*t**2 - 2000*t = 0. Calculate t.
-20, 0, 5
What is z in -2*z**3 - 122*z**2 - 236*z = 0?
-59, -2, 0
Factor 4*r**4 - 1248*r**3 + 129792*r**2 - 4499456*r.
4*r*(r - 104)**3
Factor 4*d**3 + 84*d**2 - 1312*d + 3072.
4*(d - 8)*(d - 3)*(d + 32)
Suppose 2*y**3/7 - 50*y**2/7 + 286*y/7 + 338/7 = 0. What is y?
-1, 13
What is l in -5*l**5 + 90*l**4 - 545*l**3 + 1260*l**2 - 980*l = 0?
0, 2, 7
What is x in -3*x**5/7 + 102*x**4/7 - 579*x**3/7 + 288*x**2/7 + 972*x/7 = 0?
-1, 0, 2, 6, 27
What is n in 2*n**3 + 86*n**2/3 - 262*n/3 + 170/3 = 0?
-17, 1, 5/3
Factor -1221*f**2/4 - 1215*f/4 + 3/2.
-3*(f + 1)*(407*f - 2)/4
Factor 3*g**2/7 + 48*g/7 - 51/7.
3*(g - 1)*(g + 17)/7
Let -h**3 + 73*h**2 - 212*h + 140 = 0. What is h?
1, 2, 70
Let 3*d**5 + 27*d**4 - 51*d**3 - 567*d**2 + 588*d = 0. What is d?
-7, 0, 1, 4
Suppose -5*l**2/3 - 47*l/3 - 6 = 0. What is l?
-9, -2/5
Factor 2*b**3/17 + 396*b**2/17 - 1608*b/17 + 1616/17.
2*(b - 2)**2*(b + 202)/17
What is z in -z**4/2 - 7*z**3 - 9*z**2/2 + 28*z + 26 = 0?
-13, -2, -1, 2
Factor -4050*q**5/7 + 360*q**4/7 - 8*q**3/7.
-2*q**3*(45*q - 2)**2/7
Let -3*s**2 - 876*s - 63948 = 0. What is s?
-146
Let z**5/7 + 9*z**4/7 + 20*z**3/7 + 12*z**2/7 = 0. Calculate z.
-6, -2, -1, 0
Solve 12*y**3 - 68*y**2 - 12*y + 68 = 0.
-1, 1, 17/3
Find d such that 2*d**4/13 - 16*d**3/13 + 10*d**2/13 + 76*d/13 + 48/13 = 0.
-1, 4, 6
Factor -2*f**3 + 16*f**2 - 32*f.
-2*f*(f - 4)**2
Determine c, given that -2*c**4/7 - 18*c**3/7 - 24*c**2/7 + 88*c/7 + 96/7 = 0.
-6, -4, -1, 2
Factor -4*g**4 + 24*g**3 - 36*g**2 - 16*g + 48.
-4*(g - 3)*(g - 2)**2*(g + 1)
Factor 2*l**2/15 - 14*l/15 + 4/3.
2*(l - 5)*(l - 2)/15
Let -15*v**5/2 - 111*v**4/2 + 3*v**3/2 + 303*v**2/2 - 48*v - 42 = 0. Calculate v.
-7, -2, -2/5, 1
Suppose -4*y**3 + 400*y**2 - 10000*y = 0. What is y?
0, 50
Factor -21*x**3 - 69*x**2 - 60*x - 12.
-3*(x + 1)*(x + 2)*(7*x + 2)
Factor 2*s**5 + 30*s**4 + 148*s**3 + 264*s**2 + 144*s.
2*s*(s + 1)*(s + 2)*(s + 6)**2
Factor -2*p**3/5 + 4*p**2/5 - 2*p/5.
-2*p*(p - 1)**2/5
Factor -2*j**2 - 922*j.
-2*j*(j + 461)
Solve -2*i**2/3 + 13*i/2 + 5/3 = 0.
-1/4, 10
Find v, given that 3*v**2 + 816*v + 55488 = 0.
-136
Determine q, given that 3*q**3/7 + 102*q**2/7 = 0.
-34, 0
Determine i so that 8*i**5 + 116*i**4 - 204*i**3 - 184*i**2 + 128*i = 0.
-16, -1, 0, 1/2, 2
Factor -f**4 - 8*f**3 - 21*f**2 - 22*f - 8.
-(f + 1)**2*(f + 2)*(f + 4)
Suppose 9*n**5/7 - 11*n**4/7 - 25*n**3/7 + 51*n**2/7 - 4*n + 4/7 = 0. Calculate n.
-2, 2/9, 1
Factor -45*z**3 - 219*z**2 - 150*z + 24.
-3*(z + 1)*(z + 4)*(15*z - 2)
Factor -2*x**5 + 10*x**4 + 82*x**3 + 166*x**2 + 136*x + 40.
-2*(x - 10)*(x + 1)**3*(x + 2)
Factor -242*l**3/7 + 374*l**2/7 - 150*l/