**3/2 - 105*k**2 - 207*k/2.
-3*k*(k + 1)*(k + 69)/2
Factor -4*c**3/5 - 544*c**2/5 + 4*c/5 + 544/5.
-4*(c - 1)*(c + 1)*(c + 136)/5
Factor 10*f**5/19 + 32*f**4/19 + 36*f**3/19 + 16*f**2/19 + 2*f/19.
2*f*(f + 1)**3*(5*f + 1)/19
Factor 4*v**3 - 88*v**2 + 612*v - 1296.
4*(v - 9)**2*(v - 4)
Solve g**4/4 - 17*g**3/4 + 93*g**2/4 - 175*g/4 + 49/2 = 0 for g.
1, 2, 7
Solve -j**5 - 4*j**4 - 3*j**3 + 4*j**2 + 4*j = 0.
-2, -1, 0, 1
What is l in l**4/4 - 30*l**3 - 621*l**2/4 - 125*l = 0?
-4, -1, 0, 125
Factor -3*a**3 - 33*a**2 + 36*a.
-3*a*(a - 1)*(a + 12)
Solve -60*d**4 - 608*d**3 - 1100*d**2 - 616*d - 64 = 0.
-8, -1, -2/15
Suppose -a**3/7 + 9*a**2/7 - 6*a/7 - 16/7 = 0. What is a?
-1, 2, 8
Factor -d**2/3 + 26*d/3 + 9.
-(d - 27)*(d + 1)/3
Factor t**2 + 690*t + 119025.
(t + 345)**2
Determine u, given that -2*u**2/5 + 384*u/5 - 18432/5 = 0.
96
Factor 4*a**2 - 148*a + 640.
4*(a - 32)*(a - 5)
What is x in 2*x**2 = 0?
0
Factor p**2 + 133*p - 270.
(p - 2)*(p + 135)
Factor 2*g**3/15 + 14*g**2/15 + 8*g/15 - 8/5.
2*(g - 1)*(g + 2)*(g + 6)/15
Let l**5 - 5*l**4 + 9*l**3 - 7*l**2 + 2*l = 0. Calculate l.
0, 1, 2
Factor 2*o**3/11 + 180*o**2/11 - 746*o/11 + 564/11.
2*(o - 3)*(o - 1)*(o + 94)/11
Factor -u**2/10 - 49*u/10 - 47/5.
-(u + 2)*(u + 47)/10
Factor -d**2/3 + 8*d - 80/3.
-(d - 20)*(d - 4)/3
Let -5*x**2 + 20*x + 385 = 0. Calculate x.
-7, 11
Factor 2*s**2 - 5048*s + 3185288.
2*(s - 1262)**2
Factor -363*r**3/7 - 2871*r**2/7 - 567*r + 1029.
-3*(r - 1)*(11*r + 49)**2/7
Determine p, given that 1090*p**2 - 3275*p + 15 = 0.
1/218, 3
Suppose -2*p**3/11 + 52*p**2/11 - 362*p/11 + 312/11 = 0. What is p?
1, 12, 13
Factor -2*t**3/9 - 2*t**2/9.
-2*t**2*(t + 1)/9
Factor 5*b**5 + 625*b**4 + 31250*b**3 + 781250*b**2 + 9765625*b + 48828125.
5*(b + 25)**5
What is q in 4*q**5/7 + 44*q**4/7 + 172*q**3/7 + 44*q**2 + 256*q/7 + 80/7 = 0?
-5, -2, -1
Determine q so that -q**4/11 - 12*q**3/11 - 27*q**2/11 + 108*q/11 + 324/11 = 0.
-6, -3, 3
Suppose 4*o**5 - 48*o**3 + 64*o**2 = 0. What is o?
-4, 0, 2
What is u in 5*u**2 + 25*u - 70 = 0?
-7, 2
Factor 4*a**5 - 8*a**4 + 4*a**3.
4*a**3*(a - 1)**2
Factor b**2 - 79*b + 438.
(b - 73)*(b - 6)
Factor -4*x**2/5 - 8*x - 84/5.
-4*(x + 3)*(x + 7)/5
Let -28*n**2 + 64*n - 36 = 0. Calculate n.
1, 9/7
Factor q**2 + 86*q + 168.
(q + 2)*(q + 84)
Let -15*i**3/4 - 753*i**2/2 + 2235*i + 954 = 0. Calculate i.
-106, -2/5, 6
Factor 2*h**2/11 + 20*h/11 - 2.
2*(h - 1)*(h + 11)/11
Factor 2*t**2/7 - 324*t/7 + 13122/7.
2*(t - 81)**2/7
Suppose -5*o**3 + 205*o**2 - 2375*o + 5415 = 0. Calculate o.
3, 19
Factor 4*f**3 - 1520*f**2 + 1516*f.
4*f*(f - 379)*(f - 1)
Find a, given that 5*a**2 - 380*a + 7220 = 0.
38
Let k**5/4 - 3*k**4/2 + 7*k**3/4 + 9*k**2/2 - 11*k + 6 = 0. Calculate k.
-2, 1, 2, 3
Factor -3*q**3/2 + 35*q**2/2 - 21*q/2 - 11/2.
-(q - 11)*(q - 1)*(3*q + 1)/2
Find a, given that 1225*a**3/4 - 35*a**2 + a = 0.
0, 2/35
Factor 21*d**4 + 195*d**3 + 558*d**2 + 564*d + 120.
3*(d + 2)**2*(d + 5)*(7*d + 2)
Determine p, given that -5*p**2 - 360*p = 0.
-72, 0
Suppose -5*s**2 - 1430*s = 0. Calculate s.
-286, 0
Suppose -z**5/3 + 5*z**4 - 82*z**3/3 + 66*z**2 - 205*z/3 + 25 = 0. Calculate z.
1, 3, 5
Let -3*n**2/5 - 222*n + 1113/5 = 0. What is n?
-371, 1
Solve -3*s**3/4 + 39*s**2/2 - 75*s/4 = 0.
0, 1, 25
What is f in -4*f**5/7 + 223*f**4/7 - 108*f**3 - 1243*f**2/7 - 260*f/7 = 0?
-1, -1/4, 0, 5, 52
Find h such that -h**3 + 5*h**2 - 8*h + 4 = 0.
1, 2
Factor 2*a**3/5 - 332*a**2/5 + 3256*a - 197136/5.
2*(a - 74)**2*(a - 18)/5
Let 4*p**3/7 - 32*p**2/7 + 52*p/7 - 24/7 = 0. Calculate p.
1, 6
Find c such that 4*c**3 - 320*c**2 - 324*c = 0.
-1, 0, 81
Determine p so that -9*p**4 - 187*p**3 + 456*p**2 - 92*p = 0.
-23, 0, 2/9, 2
Solve -z**4/4 - 3*z**3 - 37*z**2/4 - 21*z/2 - 4 = 0 for z.
-8, -2, -1
Factor -27*k**2 - 645*k + 750.
-3*(k + 25)*(9*k - 10)
Solve 2*s**3/5 + 10*s**2 + 268*s/5 - 64 = 0 for s.
-16, -10, 1
What is u in 20*u**2 + 258*u - 26 = 0?
-13, 1/10
Suppose 13*j**5/6 + 53*j**4/3 - 207*j**3/2 - 1817*j**2/3 + 5968*j/3 + 320 = 0. Calculate j.
-8, -2/13, 3, 5
Suppose 2*v**3 + 10*v**2 + 12*v = 0. Calculate v.
-3, -2, 0
Factor -4*d**3/5 - 96*d**2/5 - 144*d - 320.
-4*(d + 4)*(d + 10)**2/5
Suppose 5*r**5 - 23*r**4 + 25*r**3 - r**2 - 6*r = 0. What is r?
-2/5, 0, 1, 3
Let a**5/3 + a**4/3 - 6*a**3 - 50*a**2/3 - 47*a/3 - 5 = 0. What is a?
-3, -1, 5
Factor -g**5/4 + 17*g**4/4 - 20*g**3 + 16*g**2.
-g**2*(g - 8)**2*(g - 1)/4
Solve -28*q**5 + 232*q**4 + 244*q**3 - 592*q**2 + 144*q = 0 for q.
-2, 0, 2/7, 1, 9
Suppose 3*o**2 + 96*o - 819 = 0. Calculate o.
-39, 7
Suppose 2*s**3/5 + 38*s**2/5 - 282*s/5 + 90 = 0. What is s?
-25, 3
Factor 39*q**2 + 513*q + 78.
3*(q + 13)*(13*q + 2)
Factor -2*s**3/23 - 44*s**2/23 + 200*s/23 - 208/23.
-2*(s - 2)**2*(s + 26)/23
Solve a**4/4 - 5*a**3 + 83*a**2/4 - 31*a + 15 = 0.
1, 2, 15
Solve -11*w**4/5 + 4607*w**3/5 - 479642*w**2/5 - 114492*w - 17640 = 0 for w.
-1, -2/11, 210
Factor v**4/4 + 5*v**3/2.
v**3*(v + 10)/4
Determine v so that 21*v**3 - 339*v**2 - 708*v + 108 = 0.
-2, 1/7, 18
Factor 22*m**3 - 172*m**2 + 122*m + 28.
2*(m - 7)*(m - 1)*(11*m + 2)
Determine i so that -33*i**3 - 27*i**2 + 72*i - 12 = 0.
-2, 2/11, 1
Factor s**4 - 75*s**3 - 77*s**2 + 75*s + 76.
(s - 76)*(s - 1)*(s + 1)**2
Factor -3*k**3/5 - 783*k**2/5 - 68121*k/5 - 1975509/5.
-3*(k + 87)**3/5
Determine l, given that 2*l**4/15 - 4*l**3/5 - 2*l**2/15 + 4*l/5 = 0.
-1, 0, 1, 6
Solve 2*t**5 + 6*t**4 - 32*t**3 + 24*t**2 = 0 for t.
-6, 0, 1, 2
Factor 3*u**3/2 - 6*u**2.
3*u**2*(u - 4)/2
Factor 4*w**4 + 64*w**3 + 256*w**2.
4*w**2*(w + 8)**2
Factor 4*l**4 + 4*l**3 - 168*l**2.
4*l**2*(l - 6)*(l + 7)
Factor -2*d**4/9 - 4*d**3/3 - 8*d**2/3 - 20*d/9 - 2/3.
-2*(d + 1)**3*(d + 3)/9
Find a, given that -2*a**4 + 4*a**3 = 0.
0, 2
Factor 2*n**3/5 - 16*n**2/5 - 2*n/5 + 16/5.
2*(n - 8)*(n - 1)*(n + 1)/5
Factor -18*w**2 - 69*w - 45.
-3*(w + 3)*(6*w + 5)
Find t, given that t**2/2 + 47*t - 95/2 = 0.
-95, 1
Factor -2*q**4/5 + 2*q**3/5 + 2*q**2/5 - 2*q/5.
-2*q*(q - 1)**2*(q + 1)/5
What is n in -2*n**3/9 + 20*n**2/9 + 74*n/9 + 52/9 = 0?
-2, -1, 13
Factor -2*z**3/7 - 2188*z**2/7 - 598418*z/7.
-2*z*(z + 547)**2/7
Find u such that -2*u**3/5 - 2218*u**2/5 - 1328*u - 4424/5 = 0.
-1106, -2, -1
Determine d so that 2*d**5 + 44*d**4 + 282*d**3 + 440*d**2 + 200*d = 0.
-10, -1, 0
Factor c**4/4 + c**3 - 31*c**2/2 + 39*c - 99/4.
(c - 3)**2*(c - 1)*(c + 11)/4
Find i such that -3*i**2/4 + 195*i/2 - 12675/4 = 0.
65
Solve 2*b**4 - 44*b**3 - 8*b**2 + 176*b = 0.
-2, 0, 2, 22
Solve -3*c**3 - 363*c**2 + 366*c = 0.
-122, 0, 1
Factor i**2/5 - 12*i/5 + 4.
(i - 10)*(i - 2)/5
What is v in -8*v**4 + 181*v**3 - 338*v**2 + 165*v = 0?
0, 1, 165/8
Factor f**3 + 14*f**2 + 44*f + 40.
(f + 2)**2*(f + 10)
Suppose -m**2/9 - 14*m/9 + 5/3 = 0. Calculate m.
-15, 1
Determine u so that -u**2/5 + 10*u - 184/5 = 0.
4, 46
Find f, given that -5*f**4/4 - 1005*f**3/4 - 49995*f**2/4 + 51005*f/4 = 0.
-101, 0, 1
Solve 2601*p**3 - 1173*p**2 - 1232*p - 196 = 0 for p.
-14/51, 1
Suppose 4*s**2 + 80*s + 204 = 0. Calculate s.
-17, -3
Find o such that -10*o**5 - 25*o**4 + 3590*o**3 + 9020*o**2 + 7220*o + 1805 = 0.
-19, -1, -1/2, 19
Factor -2*v**2/3 + 88*v/3 + 94.
-2*(v - 47)*(v + 3)/3
Suppose 2*s**3 + 186*s**2 + 2016*s + 5832 = 0. What is s?
-81, -6
Suppose 605*g**4 + 3080*g**3 + 5240*g**2 + 3360*g + 720 = 0. Calculate g.
-2, -6/11
What is p in -2*p**3/11 + 10*p**2/11 = 0?
0, 5
Suppose -c**3 + 17*c**2 + 80*c + 84 = 0. Calculate c.
-2, 21
Find f, given that 44*f**2 - 600*f - 224 = 0.
-4/11, 14
Factor -2*y**3/7 + 158*y**2/7.
-2*y**2*(y - 79)/7
Factor 2*k**3 - 8*k**2 - 2*k + 8.
2*(k - 4)*(k - 1)*(k + 1)
Let 484*p**4 + 704*p**3 - 8*p**2 - 192*p + 36 = 0. Calculate p.
-1, 3/11
Factor -y**3/9 - 16*y**2 - 1679*y/3 + 10658/9.
-(y - 2)*(y + 73)**2/9
Determine f, given that 54*f**4 - 648*f**3 + 594*f**2 + 8*f - 88 = 0.
-1/3, 2/3, 11
Factor 3*i**4/5 + 3*i**3 - 24*i**2/5 - 144*i/5.
3*i*(i - 3)*(i + 4)**2/5
Suppose 50*q**3 + 1260*q**2 + 1458*q + 432 = 0. What is q?
-24, -3/5
Let 3*v**4/2 + 27*v**3/2 - 3156*v**2 + 45216*v + 48384 = 0. What is v?
-56, -1, 24
Solve y**3 - 7467*y**2 + 18585363*y - 15419656169 = 0.
2489
Factor 2*r**4 + 190*r**3 + 4606*r**2 + 4418*r.
2*r*(r + 1)*(r + 47)**2
Solve w**2 + 64*w + 1024 = 0 for w.
-32
Factor -4*l**2 - 60*l - 104.
-4*(l + 2)*(l + 13)
Factor f**3/6 + 103*f**2/6.
