- 673*p/3.
p*(p + 673)*(4*p - 1)/3
Factor -k**2/6 + 2*k/3 - 2/3.
-(k - 2)**2/6
Factor -5*n**2 + 26510*n - 35139005.
-5*(n - 2651)**2
Factor -5*t**3 - 750*t**2 - 28125*t.
-5*t*(t + 75)**2
Determine a so that a**4/2 - 292*a**3 + 42632*a**2 = 0.
0, 292
Suppose -100*w**5/3 - 120*w**4 + 164*w**3 + 3232*w**2/3 + 1168*w + 192 = 0. Calculate w.
-12/5, -2, -1/5, 3
Suppose 4*x**4 - 416*x**3 - 848*x**2 = 0. Calculate x.
-2, 0, 106
Find p, given that 2*p**4 + 1226*p**3/3 + 136*p**2 = 0.
-204, -1/3, 0
Solve -r**2/9 - 698*r/9 - 121801/9 = 0 for r.
-349
Factor 3*v**2 - 1074*v + 96123.
3*(v - 179)**2
Factor q**3 + 8*q**2 - 9*q.
q*(q - 1)*(q + 9)
Factor 4*w**3 + 132*w**2 + 1020*w + 2300.
4*(w + 5)**2*(w + 23)
What is h in h**2/2 + 95*h/2 + 93 = 0?
-93, -2
Let 2*s**5 - 22*s**4 + 34*s**3 + 22*s**2 - 36*s = 0. Calculate s.
-1, 0, 1, 2, 9
Let 5*x**5 + 1340*x**4 + 92425*x**3 + 355090*x**2 + 438240*x + 174240 = 0. What is x?
-132, -2, -1
Factor -m**5 + 13*m**4 - 10*m**3 - 118*m**2 - 149*m - 55.
-(m - 11)*(m - 5)*(m + 1)**3
Suppose q**2/5 - 412*q/5 - 413/5 = 0. What is q?
-1, 413
Factor -o**5 - 78*o**4 - 2168*o**3 - 24768*o**2 - 96768*o - 110592.
-(o + 2)*(o + 4)*(o + 24)**3
What is p in -3*p**4/5 + 114*p**3/5 - 1512*p**2/5 + 8526*p/5 - 17493/5 = 0?
7, 17
What is n in 4*n**2 + 476*n - 480 = 0?
-120, 1
Factor x**4/5 + x**3/5 - 7*x**2 - 129*x/5 - 126/5.
(x - 7)*(x + 2)*(x + 3)**2/5
Factor 3*b**5 - 21*b**4 + 33*b**3 - 15*b**2.
3*b**2*(b - 5)*(b - 1)**2
Factor -x**5/2 + 21*x**4 - 324*x**3 + 2187*x**2 - 10935*x/2.
-x*(x - 15)*(x - 9)**3/2
Factor a**4/7 + 298*a**3/7 + 22201*a**2/7.
a**2*(a + 149)**2/7
Suppose -j**2/2 + 39*j/2 = 0. What is j?
0, 39
Suppose 14*t**5 - 118*t**4 + 272*t**3 - 96*t**2 = 0. What is t?
0, 3/7, 4
Factor -5*d**2 + 70*d - 65.
-5*(d - 13)*(d - 1)
Suppose w**5/5 + 6*w**4/5 + 11*w**3/5 + 6*w**2/5 = 0. Calculate w.
-3, -2, -1, 0
Determine m, given that -4*m**2/5 + 28*m/5 - 48/5 = 0.
3, 4
Factor -2*a**2 - 762*a + 764.
-2*(a - 1)*(a + 382)
Factor -2*d**3 + 26*d**2 - 64*d + 40.
-2*(d - 10)*(d - 2)*(d - 1)
Factor 5*x**4 + 120*x**3 + 720*x**2.
5*x**2*(x + 12)**2
Factor -i**2/2 + 739*i - 546121/2.
-(i - 739)**2/2
Let -2*z**2/9 - 14744*z/9 - 27173192/9 = 0. Calculate z.
-3686
Factor -4*n**3/7 + 48*n/7 - 64/7.
-4*(n - 2)**2*(n + 4)/7
Factor -h**2/3 + 926*h/3 - 214369/3.
-(h - 463)**2/3
Factor -5*k**3 + 255*k**2 - 3375*k + 3125.
-5*(k - 25)**2*(k - 1)
Determine s so that -2*s**5 - 58*s**4 - 448*s**3 - 392*s**2 = 0.
-14, -1, 0
Find d such that -4*d**3/5 + 54*d**2/5 - 168*d/5 - 98/5 = 0.
-1/2, 7
Suppose -5*c**4 - 45*c**3 + 145*c**2 + 405*c + 220 = 0. Calculate c.
-11, -1, 4
Suppose 25*h**5/4 + 115*h**4/2 + 645*h**3/4 + 130*h**2 + 20*h = 0. What is h?
-4, -1, -1/5, 0
Factor -2*m**3 - 398*m**2 - 19190*m + 61206.
-2*(m - 3)*(m + 101)**2
Factor -2*q**2/11 - 636*q/11 - 50562/11.
-2*(q + 159)**2/11
Let -449440*s**3 + 1795640*s**2 + 16955*s/2 + 10 = 0. Calculate s.
-1/424, 4
Find w, given that -2*w**4 + 4*w**3 + 54*w**2 - 112*w - 160 = 0.
-5, -1, 4
Factor -5*i**3 - 720*i**2 - 34560*i - 552960.
-5*(i + 48)**3
Factor -5*i**2 - 90*i.
-5*i*(i + 18)
Factor a**3 + a**2 - 132*a.
a*(a - 11)*(a + 12)
Find k, given that -3*k**3 - 12*k**2 + 33*k - 18 = 0.
-6, 1
Determine l, given that -484*l**2 + 572*l - 169 = 0.
13/22
Let 10*o**3 + 45*o**2 + 15*o - 70 = 0. Calculate o.
-7/2, -2, 1
Determine b so that -4*b**5 + 40*b**4 + 48*b**3 - 40*b**2 - 44*b = 0.
-1, 0, 1, 11
Factor -2*m**4 + 574*m**3 - 2272*m**2 + 2264*m.
-2*m*(m - 283)*(m - 2)**2
Suppose -3*q**4 - 66*q**3 - 63*q**2 = 0. Calculate q.
-21, -1, 0
Factor -3*p**2 + 45*p + 162.
-3*(p - 18)*(p + 3)
Factor -2*l**2/3 - 460*l/3 - 26450/3.
-2*(l + 115)**2/3
What is c in c**3/7 + 2*c**2/7 + c/7 = 0?
-1, 0
Factor -s**4/3 + 4*s**3 - 17*s**2 + 92*s/3 - 20.
-(s - 5)*(s - 3)*(s - 2)**2/3
Let -s**2/9 - 418*s/9 - 139/3 = 0. What is s?
-417, -1
Factor -t**4/2 - 3*t**3 - 9*t**2/2 - 2*t.
-t*(t + 1)**2*(t + 4)/2
Factor -2*v**3 + 24*v**2 + 288*v + 640.
-2*(v - 20)*(v + 4)**2
Solve -5*d**3 - 50*d**2 + 35*d + 980 = 0 for d.
-7, 4
Factor 3*r**3 - 474*r**2 + 471*r.
3*r*(r - 157)*(r - 1)
Solve 3*j**2 - 6*j - 105 = 0.
-5, 7
Factor -q**2/4 + 39*q/4 - 19/2.
-(q - 38)*(q - 1)/4
Find v such that -72*v**5 + 1058*v**4 - 2508*v**3 + 2226*v**2 - 800*v + 96 = 0.
1/4, 4/9, 1, 12
Factor 2*g**2/5 + 14*g/5 - 12.
2*(g - 3)*(g + 10)/5
Factor b**5/3 - 4*b**4/3 - 2*b**3 + 12*b**2 - 9*b.
b*(b - 3)**2*(b - 1)*(b + 3)/3
Find u such that -12*u**3 - 92*u**2 - 128*u - 48 = 0.
-6, -1, -2/3
Factor 9*a**3/5 - 474*a**2/5 + 5376*a/5 + 4704.
3*(a - 28)**2*(3*a + 10)/5
Factor -3*l**4/4 + 69*l**3/4 - 189*l**2/4 + 183*l/4 - 15.
-3*(l - 20)*(l - 1)**3/4
Suppose 4*w**5/5 - 1704*w**4/5 + 183168*w**3/5 - 359552*w**2/5 = 0. Calculate w.
0, 2, 212
Factor -3*i**3 + 339*i**2 - 9405*i - 9747.
-3*(i - 57)**2*(i + 1)
Determine g, given that 4*g**2/7 - 12*g/7 - 40/7 = 0.
-2, 5
Factor -9*b**3/7 + 12*b**2/7 + 15*b - 36/7.
-3*(b - 4)*(b + 3)*(3*b - 1)/7
Suppose -o**2/3 - 14*o/3 + 95/3 = 0. What is o?
-19, 5
What is a in 5*a**4/3 - 635*a**3/3 - 645*a**2 - 1945*a/3 - 650/3 = 0?
-1, 130
Find u, given that -2*u**5 - 4*u**4 = 0.
-2, 0
Determine i so that 3*i**5 - 93*i**3 + 318*i**2 - 396*i + 168 = 0.
-7, 1, 2
Suppose -5*l**3 - 4895*l**2 - 14650*l - 9760 = 0. Calculate l.
-976, -2, -1
Factor 2*c**4/7 + 6*c**3/7 - 8*c**2/7.
2*c**2*(c - 1)*(c + 4)/7
Factor y**3 + 3*y**2 - 6*y - 8.
(y - 2)*(y + 1)*(y + 4)
Suppose 3*t**4/5 - 114*t**3/5 + 1083*t**2/5 = 0. What is t?
0, 19
Factor -2*n**3 + 8*n**2 - 10*n + 4.
-2*(n - 2)*(n - 1)**2
Solve -48*j**5 + 216*j**4 + 1293*j**3 - 8244*j**2 + 11985*j - 5202 = 0.
-6, 1, 17/4
Find z such that z**5 + 6*z**4 + 6*z**3 - 20*z**2 - 39*z - 18 = 0.
-3, -1, 2
Factor 7*f**3/2 + f**2 - 9*f/2.
f*(f - 1)*(7*f + 9)/2
Factor -244*n**2 - 220*n + 24.
-4*(n + 1)*(61*n - 6)
Factor x**5/7 - 292*x**4/7 + 580*x**3/7 + 2*x**2/7 - 83*x + 290/7.
(x - 290)*(x - 1)**3*(x + 1)/7
Factor -4*d**3/9 + 268*d**2/9 - 4160*d/9 + 18800/9.
-4*(d - 47)*(d - 10)**2/9
Factor -d**3/5 - 21*d**2/5 - 74*d/5 + 48.
-(d - 2)*(d + 8)*(d + 15)/5
Factor 2*i**2 - 296*i + 10952.
2*(i - 74)**2
Factor 3*s**2/2 + 27*s + 135/2.
3*(s + 3)*(s + 15)/2
Factor 2*g**2/15 - 392*g/15 - 394/15.
2*(g - 197)*(g + 1)/15
Factor 20*d**3 - 48*d**2 - 144*d + 64.
4*(d - 4)*(d + 2)*(5*d - 2)
What is p in 2*p**3/3 - 4*p**2 - 32*p/3 = 0?
-2, 0, 8
Solve c**2/5 - 154*c/5 + 5929/5 = 0 for c.
77
Factor -y**2/11 - 690*y/11 - 119025/11.
-(y + 345)**2/11
Factor -2*w**4 + 160*w**3 + 6*w**2 - 476*w - 320.
-2*(w - 80)*(w - 2)*(w + 1)**2
Find q such that -3*q**2 + 117*q + 2640 = 0.
-16, 55
Factor 3*i**3 - 21*i**2 - 24*i.
3*i*(i - 8)*(i + 1)
Factor r**2/2 + 5*r - 39/2.
(r - 3)*(r + 13)/2
Factor s**4/5 + 3*s**3/5 - 339*s**2/5 - 683*s/5 - 342/5.
(s - 18)*(s + 1)**2*(s + 19)/5
Factor 12*c**3 + 111*c**2 - 1053*c - 270.
3*(c - 6)*(c + 15)*(4*c + 1)
Factor 24*q**3 - 244*q**2 - 1304*q + 224.
4*(q - 14)*(q + 4)*(6*q - 1)
Factor g**5 + g**4 - 8*g**3 - 8*g**2 + 16*g + 16.
(g - 2)**2*(g + 1)*(g + 2)**2
Solve -2*h**2/11 + 30*h/11 + 68/11 = 0 for h.
-2, 17
Determine u, given that 2*u**3/7 + 78*u**2/7 + 114*u + 722/7 = 0.
-19, -1
Suppose -2*l**2/7 - 2174*l/7 + 2176/7 = 0. Calculate l.
-1088, 1
Let n**5/3 + 16*n**4/3 + 14*n**3 - 76*n**2/3 - 43*n/3 + 20 = 0. What is n?
-12, -5, -1, 1
Find u, given that -2*u**2 - 88*u - 968 = 0.
-22
Factor -t**4 - 126*t**3 - 3841*t**2 + 8064*t - 4096.
-(t - 1)**2*(t + 64)**2
Determine q, given that 5*q**3 + 73*q**2 - 30*q = 0.
-15, 0, 2/5
Suppose a**5 - 40*a**4 + 357*a**3 + 482*a**2 - 800*a = 0. Calculate a.
-2, 0, 1, 16, 25
Suppose -5*i**4 - 40*i**3 + 40*i**2 + 480*i - 720 = 0. Calculate i.
-6, 2
Factor -26*o**2/3 - 148*o/3 - 176/3.
-2*(o + 4)*(13*o + 22)/3
Factor b**4/8 - 25*b**3/8 + 69*b**2/8 - 67*b/8 + 11/4.
(b - 22)*(b - 1)**3/8
Factor -m**2 + 12*m.
-m*(m - 12)
Determine r, given that -3*r**3 - 6*r**2 = 0.
-2, 0
Solve 4*s**3 - 476*s**2 + 6848*s - 26368 = 0.
8, 103
Determine q so that q**4 - 146*q**3 + 2512*q**2 - 12654*q + 10287 = 0.
1, 9, 127
Solve p**3 + 14*p**2 - 31*p + 16 = 0 for p.
-16, 1
Factor -r**2 + 34*r - 189.
-(r - 27)*(r - 7)
Factor -3*i**4 + 24*i**3 - 54*i**2 + 81.
-3*(i - 3)**3*(i + 1)
Let -3*h**2/5 + 5217*h/5 + 10446/5 = 0. What is h?
-2, 1741
What is s in 15*s**3 - 110*s**2 + 260*s - 200 = 0?
2, 10/3
What is x in 2*x**5/5 