4*c.
4*c*(c - 4)*(c + 12)/3
Solve -2*p**4 + 36*p**3 - 210*p**2 + 464*p - 288 = 0 for p.
1, 4, 9
Factor -5*m**4 - 15*m**3 - 10*m**2.
-5*m**2*(m + 1)*(m + 2)
Factor 2*y**3/5 + 206*y**2/5 + 1120*y + 3000.
2*(y + 3)*(y + 50)**2/5
Factor -4*b**3 + 644*b**2 - 26240*b + 25600.
-4*(b - 80)**2*(b - 1)
Factor -3*j**2 - 6930*j - 4002075.
-3*(j + 1155)**2
What is d in -d**2/11 - 23*d/11 = 0?
-23, 0
Find z such that -2*z**5 + 28*z**4 - 24*z**3 - 28*z**2 + 26*z = 0.
-1, 0, 1, 13
Solve -28*i**5 - 132*i**4 + 432*i**3 - 112*i**2 = 0 for i.
-7, 0, 2/7, 2
Solve -c**2/4 + 577*c/4 + 289/2 = 0 for c.
-1, 578
What is k in k**3 + 15*k**2 - 81*k - 95 = 0?
-19, -1, 5
Find r such that -5*r**2 - 840*r - 35280 = 0.
-84
Let -5*y**4 + 10*y**3 + 5515*y**2 - 5520*y - 1523520 = 0. Calculate y.
-23, 24
Solve -6075*c**4 + 540*c**3 - 12*c**2 = 0.
0, 2/45
Find t, given that -14*t**3/5 - 52*t**2/5 - 8*t + 16/5 = 0.
-2, 2/7
Suppose -3*l**3 + 69*l**2 - 126*l = 0. Calculate l.
0, 2, 21
Suppose -16*x**2 - 76*x + 120 = 0. Calculate x.
-6, 5/4
Factor w**3 - 121*w**2 + 3599*w + 3721.
(w - 61)**2*(w + 1)
What is l in 5*l**4 + 1390*l**3 + 2765*l**2 + 1380*l = 0?
-276, -1, 0
Let -5*o**4 + 63*o**3 + 96*o**2 + 28*o = 0. Calculate o.
-1, -2/5, 0, 14
Determine u, given that 24*u**2/11 - 430*u/11 - 36/11 = 0.
-1/12, 18
Let -g**4/3 - 85*g**3/3 - 616*g**2 - 588*g = 0. Calculate g.
-42, -1, 0
Factor 5*v**3 - 28*v**2 - 47*v - 14.
(v - 7)*(v + 1)*(5*v + 2)
Factor -3*k**2 + 384*k - 381.
-3*(k - 127)*(k - 1)
Factor 2*d**3 - 38*d**2 + 152*d - 168.
2*(d - 14)*(d - 3)*(d - 2)
Determine j so that j**2 = 0.
0
Find v, given that 4*v**5 + 36*v**4 + 56*v**3 - 136*v**2 - 60*v + 100 = 0.
-5, -1, 1
Solve 21*i**3/2 - 41*i**2/4 - i/4 = 0 for i.
-1/42, 0, 1
Factor -v**3/2 + 13*v**2/2 - 28*v + 40.
-(v - 5)*(v - 4)**2/2
Find s, given that -s**4/4 + s**3/2 + 2*s**2 - 9*s/2 + 9/4 = 0.
-3, 1, 3
Factor -5*k**3 - 300*k**2 + 305*k.
-5*k*(k - 1)*(k + 61)
Suppose -5*s**4 + 15*s**3 + 30*s**2 - 40*s = 0. What is s?
-2, 0, 1, 4
Suppose -5*f**3 + 115*f**2 + 130*f - 240 = 0. What is f?
-2, 1, 24
Factor 15*g**2 + 1475*g/2 + 245/2.
5*(g + 49)*(6*g + 1)/2
Determine r so that -5*r**4 - 290*r**3 - 4985*r**2 - 22620*r - 30420 = 0.
-26, -3
Let x**5 + 29*x**4 + 233*x**3 + 655*x**2 + 450*x = 0. Calculate x.
-18, -5, -1, 0
Factor 5*c**3 - 530*c**2 + 1555*c - 1030.
5*(c - 103)*(c - 2)*(c - 1)
Determine j, given that 75*j**5/4 - 60*j**4 + 18*j**3 + 48*j**2 + 12*j = 0.
-2/5, 0, 2
Factor -u**2/3 + 22*u/3 + 23/3.
-(u - 23)*(u + 1)/3
Factor -d**2/3 + 35*d + 106/3.
-(d - 106)*(d + 1)/3
Let 3*a**4/4 - 417*a**3/2 + 57963*a**2/4 = 0. Calculate a.
0, 139
Solve -4*t**3 + 12*t**2 + 40*t - 96 = 0.
-3, 2, 4
Factor m**4 - 84*m**3 - 3*m**2 + 250*m + 168.
(m - 84)*(m - 2)*(m + 1)**2
Find y, given that 4*y**2/7 - 16*y = 0.
0, 28
Factor -d**3/5 - 29*d**2/5 - 114*d/5 + 144/5.
-(d - 1)*(d + 6)*(d + 24)/5
Factor -w**2/6 - 187*w/6.
-w*(w + 187)/6
Factor 2*b**2/23 - 148*b/23 + 288/23.
2*(b - 72)*(b - 2)/23
Factor 3*y**2 - 132*y + 1452.
3*(y - 22)**2
Factor 5*v**2 + 245*v + 240.
5*(v + 1)*(v + 48)
Factor 2*j**2/9 + 28*j/9 + 16/3.
2*(j + 2)*(j + 12)/9
Factor -15*f**2 + 363*f - 72.
-3*(f - 24)*(5*f - 1)
What is c in 160*c**4 + 368*c**3 + 258*c**2 + 52*c + 2 = 0?
-1, -1/4, -1/20
Factor -2*y**5/9 + 110*y**4 - 18150*y**3 + 998250*y**2.
-2*y**2*(y - 165)**3/9
Find v such that v**3 - 39*v**2 - 42*v + 80 = 0.
-2, 1, 40
Suppose n**2/6 + 232*n/3 + 26912/3 = 0. What is n?
-232
Find i, given that -2*i**3/15 - 86*i**2/15 - 388*i/15 - 304/15 = 0.
-38, -4, -1
Factor -2*a**3/3 - 52*a**2/3 - 126*a - 240.
-2*(a + 3)*(a + 8)*(a + 15)/3
Determine m so that m**3/3 - 2*m**2/3 - m = 0.
-1, 0, 3
Factor -4*c**2 + 76*c + 80.
-4*(c - 20)*(c + 1)
Let -2*o**4 + 74*o**3 - 1026*o**2 + 6318*o - 14580 = 0. Calculate o.
9, 10
Find a such that 4*a**3 + 28*a**2 + 60*a + 36 = 0.
-3, -1
Factor 10*h**3/7 - 1296*h**2/7 + 6144*h - 65536/7.
2*(h - 64)**2*(5*h - 8)/7
Find u such that 24*u**4 + 70*u**3 + 72*u**2 + 30*u + 4 = 0.
-1, -2/3, -1/4
Let 3*y**4 - 63*y**3 + 297*y**2 + 363*y = 0. Calculate y.
-1, 0, 11
Determine v, given that -5*v**5/3 - 40*v**4 + 260*v**3/3 - 10*v**2/3 - 85*v + 130/3 = 0.
-26, -1, 1
Suppose -5*c**2 - 100*c + 105 = 0. What is c?
-21, 1
Suppose 4*r**2 - 176*r + 492 = 0. What is r?
3, 41
Factor o**2/5 - 209*o/5 - 42.
(o - 210)*(o + 1)/5
Let -4*v**3 - 211*v**2 + 269*v - 54 = 0. Calculate v.
-54, 1/4, 1
Find q, given that -q**4 - 100*q**3 - 290*q**2 + 100*q + 291 = 0.
-97, -3, -1, 1
Suppose 2*d**2/7 - 22*d/7 + 48/7 = 0. What is d?
3, 8
Factor -x**4 - 23*x**3 + x**2 + 23*x.
-x*(x - 1)*(x + 1)*(x + 23)
What is c in 2*c**4/7 - 60*c**3/7 + 208*c**2/7 = 0?
0, 4, 26
Factor -15*x**2/2 + 63*x - 24.
-3*(x - 8)*(5*x - 2)/2
Factor -g**2 + 12*g - 11.
-(g - 11)*(g - 1)
Factor p**3/11 - 23*p**2/11 - 49*p/11 + 1127/11.
(p - 23)*(p - 7)*(p + 7)/11
Determine h, given that 4*h**5 - 20*h**4 - 4*h**3 + 68*h**2 + 48*h = 0.
-1, 0, 3, 4
Factor -5*r**2 + 90*r + 1215.
-5*(r - 27)*(r + 9)
Let 3*a**3 - 6*a**2 - 3*a + 6 = 0. Calculate a.
-1, 1, 2
Find n, given that 2*n**5/11 - 8*n**4/11 - 26*n**3/11 + 8*n**2/11 + 24*n/11 = 0.
-2, -1, 0, 1, 6
Factor a**4/8 + a**3/8.
a**3*(a + 1)/8
Let -10*g**5 + 104*g**4 - 170*g**3 - 548*g**2 - 120*g + 144 = 0. What is g?
-1, 2/5, 6
Factor u**4/7 - 22*u**3/7 - 24*u**2/7 + 22*u/7 + 23/7.
(u - 23)*(u - 1)*(u + 1)**2/7
Solve -2*b**3 + 6*b + 4 = 0.
-1, 2
What is z in z**3 - 6*z**2 = 0?
0, 6
Factor -p**3/3 + 14*p**2/3 - 44*p/3 + 40/3.
-(p - 10)*(p - 2)**2/3
Solve 5*o**5 + 85*o**4 - 210*o**3 - 370*o**2 + 205*o + 285 = 0 for o.
-19, -1, 1, 3
Solve -35*i**2/3 - 500*i/3 = 0 for i.
-100/7, 0
Solve -2*o**5/7 + 34*o**4/7 - 134*o**3/7 + 174*o**2/7 - 72*o/7 = 0 for o.
0, 1, 3, 12
Factor -y**2/6 + 226*y/3 - 25538/3.
-(y - 226)**2/6
Determine j so that -3*j**5 + 1512*j**4 - 1500*j**3 - 4542*j**2 + 7551*j - 3018 = 0.
-2, 1, 503
Factor 10*c**4/9 + 14*c**3/9 + 4*c**2/9.
2*c**2*(c + 1)*(5*c + 2)/9
Suppose 4*y**3 + 24*y**2 - 4*y - 24 = 0. Calculate y.
-6, -1, 1
Determine c, given that 4*c**3 + 720*c**2 + 33108*c + 63368 = 0.
-89, -2
Factor 3*h**3 - 117*h - 210.
3*(h - 7)*(h + 2)*(h + 5)
Factor 3*n**3 - 340*n**2 - 2768*n/3 - 1856/3.
(n - 116)*(3*n + 4)**2/3
Factor -2*u**2/5 + 192*u/5 - 4608/5.
-2*(u - 48)**2/5
Suppose -4*b**2/3 + 8*b/3 + 4 = 0. Calculate b.
-1, 3
Factor -4*u**3 + 36*u**2 + 16*u - 144.
-4*(u - 9)*(u - 2)*(u + 2)
Find f such that 2*f**5/5 - 24*f**4/5 + 58*f**3/5 + 76*f**2/5 - 48*f + 128/5 = 0.
-2, 1, 4, 8
Factor -f**3/2 - 59*f**2/4 + 563*f/4 + 74.
-(f - 8)*(f + 37)*(2*f + 1)/4
Solve 2*i**5/9 - 14*i**4/9 + 10*i**3/3 - 2*i**2 = 0.
0, 1, 3
Find q, given that 2*q**5/3 - 8*q**4/3 - 56*q**3/3 - 64*q**2/3 = 0.
-2, 0, 8
Find q such that q**5/3 + 28*q**4 + 1558*q**3/3 + 2256*q**2 - 18551*q/3 + 3380 = 0.
-60, -13, 1
Suppose k**5/6 - 3*k**4/2 + 23*k**3/6 - 5*k**2/2 = 0. What is k?
0, 1, 3, 5
What is y in 10*y**2 - 395*y - 200 = 0?
-1/2, 40
Determine l, given that -5*l**4/2 - 24*l**3 - 51*l**2 - 40*l - 21/2 = 0.
-7, -1, -3/5
Solve -3*b**5 + 6*b**4 + 24*b**3 - 54*b**2 + 27*b = 0.
-3, 0, 1, 3
What is c in c**3/2 + 6*c**2 - c/2 - 6 = 0?
-12, -1, 1
Factor a**3/5 + 8*a**2/5 - 4*a.
a*(a - 2)*(a + 10)/5
Factor 3*n**5 - 15*n**4 + 30*n**3 - 30*n**2 + 15*n - 3.
3*(n - 1)**5
Factor -n**3/5 - 2*n**2/5 + 21*n/5 - 18/5.
-(n - 3)*(n - 1)*(n + 6)/5
Factor 4*w**3 - 28*w**2 - 68*w - 36.
4*(w - 9)*(w + 1)**2
What is f in f**5 + 78*f**4 + 1733*f**3 + 8136*f**2 + 6480*f = 0?
-36, -5, -1, 0
Suppose 5*o**4 + 1250*o**3 + 82965*o**2 + 605000*o + 1171280 = 0. What is o?
-121, -4
Factor 3*m**3 - 12*m.
3*m*(m - 2)*(m + 2)
Determine v, given that v**4/4 + 3*v**3/4 - v**2/2 - 3*v - 2 = 0.
-2, -1, 2
Suppose x**3/5 - 2*x**2 - 151*x/5 - 76 = 0. What is x?
-5, -4, 19
Find g, given that 2*g**4/5 + 24*g**3/5 + 54*g**2/5 - 8*g/5 - 72/5 = 0.
-9, -2, 1
Suppose -l**5/3 - l**4/3 + l**3 + 5*l**2/3 + 2*l/3 = 0. What is l?
-1, 0, 2
Determine c, given that c**3/4 - 15*c**2/4 + 19*c/2 - 6 = 0.
1, 2, 12
What is p in 768*p**2 + 144*p + 27/4 = 0?
-3/32
Find l, given that -5*l**2 - 1265*l - 1260 = 0.
-252, -1
Let 3*l**2/7 + 219*l/7 - 222/7 = 0. Calculate l.
-74, 1
Factor 2*w**2 + 15312*w + 29307168.
2*(w + 3828)**2
Suppose 2*c**2/25 + 12*c/25 - 22/5 = 0. What is c?
-11, 5
Find m such that -3*m**5 + 27*m**4 + 3*m**3 - 627*m**2 + 1800*m - 1200 = 0.
-