159*q**2/5 + 333*q - 845 = 0 for q.
-169, 5
Find z, given that 14*z**4/17 + 52*z**3/17 - 422*z**2/17 + 452*z/17 - 96/17 = 0.
-8, 2/7, 1, 3
Solve -p**3 - 15*p**2 - 27*p - 13 = 0.
-13, -1
Suppose 204*s**3 + 4*s**2 - 204*s - 4 = 0. Calculate s.
-1, -1/51, 1
Factor -2*a**4/5 + 12*a**3/5 - 16*a**2/5.
-2*a**2*(a - 4)*(a - 2)/5
Factor 3*i**4 - 15*i**3 + 21*i**2 - 9*i.
3*i*(i - 3)*(i - 1)**2
Suppose 21*o**3 + 825*o**2 + 234*o = 0. What is o?
-39, -2/7, 0
Factor -5*w**4 - 3630*w**3 - 662465*w**2 - 1314060*w - 655220.
-5*(w + 1)**2*(w + 362)**2
Suppose 16*j**4 + 524*j**3 + 380*j**2 - 128*j = 0. What is j?
-32, -1, 0, 1/4
Factor 66*t**3 - 68*t**2 + 16*t.
2*t*(3*t - 2)*(11*t - 4)
Factor -h**2/2 - 3*h/2.
-h*(h + 3)/2
Factor -2*r**4/3 - 100*r**3/3 - 1250*r**2/3.
-2*r**2*(r + 25)**2/3
Factor -6*z**4 + 4629*z**3 - 1191195*z**2 + 102441999*z - 50923779.
-3*(z - 257)**3*(2*z - 1)
Determine w so that -2*w**2/5 + 2*w + 12/5 = 0.
-1, 6
Factor -4*h**2 + 104*h.
-4*h*(h - 26)
Factor 12*q**4 + 75*q**3 - 306*q**2 - 81*q.
3*q*(q - 3)*(q + 9)*(4*q + 1)
Factor -2*c**2 + 50*c - 92.
-2*(c - 23)*(c - 2)
Determine b so that 4*b**3/3 - 28*b**2/3 - 1568*b/3 - 512 = 0.
-16, -1, 24
Factor -3*s**3/4 - 21*s**2/2 - 21*s/4 + 117/2.
-3*(s - 2)*(s + 3)*(s + 13)/4
Solve -7*p**4/6 + 107*p**3/6 - 19*p**2 - 86*p/3 + 28/3 = 0 for p.
-1, 2/7, 2, 14
Factor 2*b**4 + 10*b**3 + 8*b**2.
2*b**2*(b + 1)*(b + 4)
Solve 2*g**4 - 50*g**3 + 414*g**2 - 1246*g + 880 = 0.
1, 5, 8, 11
Factor 2*w**2 - 84*w/17 + 32/17.
2*(w - 2)*(17*w - 8)/17
Factor -2*b**2 - 188*b + 7134.
-2*(b - 29)*(b + 123)
Determine f so that 3*f**4 + 99*f**3 + 279*f**2 + 273*f + 90 = 0.
-30, -1
Factor 3*l**2/5 - 9*l/5 + 6/5.
3*(l - 2)*(l - 1)/5
Factor 9*o**3/5 - 219*o**2/5 + 276*o/5.
3*o*(o - 23)*(3*o - 4)/5
Determine d, given that -d**3/4 + 35*d**2/4 + 73*d/4 + 37/4 = 0.
-1, 37
Solve -16*i**4/5 + 52*i**3/5 - 6*i**2/5 - 18*i/5 = 0 for i.
-1/2, 0, 3/4, 3
Factor d**3 + 1310*d**2 + 2617*d + 1308.
(d + 1)**2*(d + 1308)
Determine h so that -h**5/2 - 7*h**4 + 17*h**3 + 262*h**2 - 2145*h/2 + 1089 = 0.
-11, 2, 3
Let -p**4/4 + 13*p**3/4 - 31*p**2/4 - 45*p/4 = 0. Calculate p.
-1, 0, 5, 9
Factor 2*o**3 - 1022*o**2 + 129014*o + 396294.
2*(o - 257)**2*(o + 3)
Solve -25*h**5 - 110*h**4 - 15*h**3 + 110*h**2 + 40*h = 0.
-4, -1, -2/5, 0, 1
Suppose 7*i**3/3 + i**2 - 28*i/3 - 4 = 0. Calculate i.
-2, -3/7, 2
Factor 3*f**4 + 57*f**3 + 213*f**2 - 273*f.
3*f*(f - 1)*(f + 7)*(f + 13)
Factor 21*v**3 - 86*v**2 + 71*v - 6.
(v - 3)*(v - 1)*(21*v - 2)
Factor 4*u**4 - 44*u**3 + 16*u**2 + 1104*u - 2880.
4*(u - 6)**2*(u - 4)*(u + 5)
Find g such that 3*g**3 + 6*g**2 - 3*g - 6 = 0.
-2, -1, 1
Solve 9*k**5/5 + 3*k**4/5 - 63*k**3/5 + 81*k**2/5 - 6*k = 0.
-10/3, 0, 1
Factor 18*y**2 - 26*y + 8.
2*(y - 1)*(9*y - 4)
Factor 20*p**4 + 236*p**3 + 376*p**2 + 160*p.
4*p*(p + 1)*(p + 10)*(5*p + 4)
Let -2*r**5/11 + 776*r**4/11 - 75266*r**3/11 - 2324*r**2/11 + 224264*r/11 + 150544/11 = 0. Calculate r.
-1, 2, 194
What is g in 3*g**5 - 18*g**4 + 24*g**3 + 6*g**2 - 27*g + 12 = 0?
-1, 1, 4
Let 4*q**4 - 2*q**3 - 6*q**2 + 2*q + 2 = 0. Calculate q.
-1, -1/2, 1
Factor 4*j**5 + 132*j**4 - 276*j**3 + 140*j**2.
4*j**2*(j - 1)**2*(j + 35)
Factor 2*i**4 + 14*i**3 - 26*i**2 - 86*i - 48.
2*(i - 3)*(i + 1)**2*(i + 8)
Determine u so that -5*u**4 - 240*u**3 - 3110*u**2 - 5520*u - 2645 = 0.
-23, -1
Solve -27*d**4 - 492*d**3 + 405*d**2 + 114*d = 0.
-19, -2/9, 0, 1
Let -4*s**2 - 68*s = 0. Calculate s.
-17, 0
Let 5*g**3 - 150*g**2 + 1500*g - 5000 = 0. Calculate g.
10
Find f, given that -3*f**4/4 - 3*f**3/2 = 0.
-2, 0
What is j in 3*j**2 + 930*j - 933 = 0?
-311, 1
Determine a so that -5*a**4/7 + 31*a**3/7 + 68*a**2/7 + 32*a/7 = 0.
-1, -4/5, 0, 8
Suppose 2*m**3/7 - 20*m**2/7 + 46*m/7 - 4 = 0. Calculate m.
1, 2, 7
Suppose 3*g**4 - 6468*g**3 + 5229378*g**2 - 1879089828*g + 253207354323 = 0. Calculate g.
539
Factor -n**3/4 - 173*n**2/4 - 3991*n/4 - 24843/4.
-(n + 13)**2*(n + 147)/4
Factor 3*r**4 + 21*r**3 + 54*r**2 + 60*r + 24.
3*(r + 1)*(r + 2)**3
Let 2*r**4/3 + 40*r**3 + 2024*r**2/3 + 2240*r + 6272/3 = 0. Calculate r.
-28, -2
Suppose 2*i**5 - 92*i**4 + 1688*i**3 - 15440*i**2 + 70400*i - 128000 = 0. What is i?
8, 10
Suppose v**5 - 7*v**3 - 6*v**2 = 0. Calculate v.
-2, -1, 0, 3
Suppose 8*w**4 - 234*w**3 - 966*w**2 - 800*w + 264 = 0. What is w?
-2, 1/4, 33
Determine z so that -2*z**5/3 - 832*z**4 + 834*z**3 + 4996*z**2/3 = 0.
-1249, -1, 0, 2
Determine m, given that -2*m**4/7 + 46*m**3/7 + 50*m**2/7 - 46*m/7 - 48/7 = 0.
-1, 1, 24
Solve -5*v**4 - 10*v**3 + 15*v**2 + 20*v - 20 = 0.
-2, 1
Factor 5*y**5 - 30*y**4 + 55*y**3 - 30*y**2.
5*y**2*(y - 3)*(y - 2)*(y - 1)
Factor 18*t**2 + 6*t - 4.
2*(3*t - 1)*(3*t + 2)
Factor -5*o**4 + 95*o**3 - 400*o**2 - 500*o.
-5*o*(o - 10)**2*(o + 1)
Factor -u**2/3 + u + 4/3.
-(u - 4)*(u + 1)/3
Suppose -2*l**2/9 - 160*l/9 + 166/3 = 0. Calculate l.
-83, 3
What is n in 2*n**2/7 + 10*n/7 - 48/7 = 0?
-8, 3
Factor b**3/10 + 47*b**2/5 - 19*b/2.
b*(b - 1)*(b + 95)/10
Factor y**3/4 - 5*y**2/2 + 23*y/4 - 7/2.
(y - 7)*(y - 2)*(y - 1)/4
Find u, given that -2*u**4/9 + 2*u**3 - 56*u**2/9 + 8*u - 32/9 = 0.
1, 2, 4
Suppose -3*x**5/2 - 57*x**4/4 - 24*x**3 + 87*x**2/4 + 39*x - 21 = 0. What is x?
-7, -2, 1/2, 1
Suppose -23*t**2 + 4161*t + 362 = 0. Calculate t.
-2/23, 181
What is d in -5*d**3 - 2310*d**2 - 273600*d - 1559520 = 0?
-228, -6
Let -36*s**5 - 240*s**4 - 52*s**3 + 536*s**2 - 112*s - 96 = 0. Calculate s.
-6, -2, -1/3, 2/3, 1
Determine l, given that -5*l**4 - 20*l**3 + 35*l**2 + 170*l + 120 = 0.
-4, -2, -1, 3
Factor 2*q**2/11 - 458*q/11 + 908/11.
2*(q - 227)*(q - 2)/11
Factor 2*w**2 - 60*w - 62.
2*(w - 31)*(w + 1)
Let 2*i**4/11 + 14*i**3/11 - 180*i**2/11 - 1944*i/11 - 432 = 0. Calculate i.
-6, 11
Let 5*l**5 - 105*l**4 + 165*l**3 + 505*l**2 - 570*l = 0. What is l?
-2, 0, 1, 3, 19
Factor g**3/7 - 17*g**2/7 + 13*g - 21.
(g - 7)**2*(g - 3)/7
Factor k**5 + 6*k**4 + 12*k**3 + 10*k**2 + 3*k.
k*(k + 1)**3*(k + 3)
Factor 4*y**2 + 204*y + 392.
4*(y + 2)*(y + 49)
Determine s so that -14*s**5/5 + 454*s**4/5 - 612*s**3/5 - 268*s**2/5 + 626*s/5 - 186/5 = 0.
-1, 3/7, 1, 31
What is p in 10*p**5 + 718*p**4/3 - 802*p**3/3 - 46*p**2/3 + 100*p/3 = 0?
-25, -1/3, 0, 2/5, 1
Find d, given that 147*d**5/5 - 294*d**4/5 + 27*d**3 + 24*d**2/5 - 12*d/5 = 0.
-2/7, 0, 2/7, 1
Suppose 5*q**3 + 45*q**2 + 55*q - 105 = 0. What is q?
-7, -3, 1
Factor -5*u**4 + 5*u**3 + 100*u**2.
-5*u**2*(u - 5)*(u + 4)
Factor q**4/3 - 23*q**3/6 + 11*q**2/6.
q**2*(q - 11)*(2*q - 1)/6
Factor -r**4/3 - 5*r**3/2 + 13*r**2/3 - 3*r/2.
-r*(r - 1)*(r + 9)*(2*r - 1)/6
Suppose 2*q**2/5 - 606*q/5 + 596 = 0. Calculate q.
5, 298
Solve -10*k**5 - 1434*k**4 - 53792*k**3 - 171088*k**2 - 157920*k - 39200 = 0.
-70, -2, -1, -2/5
Suppose 4*u**4/5 - 16*u**3/5 + 12*u**2/5 = 0. Calculate u.
0, 1, 3
Solve -25*b**4 - 3320*b**3 - 5910*b**2 - 1960*b + 655 = 0.
-131, -1, 1/5
Factor -3*k**3 - 195*k**2 + 1752*k.
-3*k*(k - 8)*(k + 73)
Determine l, given that 5*l**4 - 570*l**3 + 15060*l**2 + 67850*l + 52215 = 0.
-3, -1, 59
Suppose -4*p**3 + 124*p - 120 = 0. What is p?
-6, 1, 5
Let -3*w**2 - 159*w + 504 = 0. What is w?
-56, 3
Let 2*g**4/11 - 24*g**3 + 8444*g**2/11 + 1608*g + 8978/11 = 0. Calculate g.
-1, 67
Suppose -261*v**2 - 21147*v - 486 = 0. What is v?
-81, -2/87
Factor 2*k**4 - 24*k**3 - 6*k**2 + 68*k + 48.
2*(k - 12)*(k - 2)*(k + 1)**2
Factor -4*h**3 - 96*h**2 - 524*h - 816.
-4*(h + 3)*(h + 4)*(h + 17)
Let 12*y**4 + 117*y**3 + 222*y**2 - 63*y = 0. What is y?
-7, -3, 0, 1/4
Suppose c**5/2 - 15*c**3/2 + 5*c**2 + 12*c = 0. Calculate c.
-4, -1, 0, 2, 3
Factor -p**4/5 + 5*p**3 - 45*p**2 + 175*p - 250.
-(p - 10)*(p - 5)**3/5
Factor -16*j**2/3 - 5242*j/3 + 656.
-2*(j + 328)*(8*j - 3)/3
Factor 4*t**5 - 24*t**4 - 108*t**3 - 16*t**2 + 144*t.
4*t*(t - 9)*(t - 1)*(t + 2)**2
Factor 4*c**2 - 84*c - 184.
4*(c - 23)*(c + 2)
Factor 3*i**3/2 - 57*i**2/2 - 33*i + 60.
3*(i - 20)*(i - 1)*(i + 2)/2
Factor 9*m**3/5 + 22*m**2 + 348*m/5 + 72/5.
(m + 6)**2*(9*m + 2)/5
Suppose 3*w**3/5 + 678*w**2/5 - 687*w/5 - 1362/5 = 0. Calculate w.
-227, -1, 2
Determine c, given that -c**2 - 378*c + 379 = 0.
-379, 1
Determine f, given that 12*f**5 + 552*f**4 + 6831*f**3 + 10173*f**2 - 15576*f + 4356 = 0.
-22, -3, 1/2
Find a such that 2*a**3/7 - 16*a**2/7 - 10*a/7 + 24 = 0.
-3, 4, 7
Factor p**2/4 + 5*p/2 + 9/4.
(p