(p - 2)*(p + 2)*(4*p + 1)
Let -5*x**3 + 15*x**2 + 5*x - 15 = 0. Calculate x.
-1, 1, 3
Factor 36*t**4/5 - 136*t**3/5 + 112*t**2/5 + 32*t/5.
4*t*(t - 2)**2*(9*t + 2)/5
Factor 2*d**3/3 + 26*d**2/3 + 92*d/3 + 32.
2*(d + 2)*(d + 3)*(d + 8)/3
Factor -o**4 - 4*o**3 - 5*o**2 - 2*o.
-o*(o + 1)**2*(o + 2)
Determine g so that 18496*g**4/9 + 17476*g**3/9 - 364*g**2/3 - 68*g/9 + 4/9 = 0.
-1, -1/16, 1/17
Determine b, given that -35*b**3 + 325*b**2 + 680*b - 220 = 0.
-2, 2/7, 11
Determine t so that 5*t**3 - 110*t**2 + 725*t - 1500 = 0.
5, 12
Let q**4/9 + q**3/9 - 4*q**2/9 - 4*q/9 = 0. What is q?
-2, -1, 0, 2
Suppose -i**3/2 + 173*i**2/2 - 4408*i + 70034 = 0. Calculate i.
38, 97
Factor -f**4/8 - 9*f**3/4 + 19*f**2/8.
-f**2*(f - 1)*(f + 19)/8
What is w in w**5/3 + 4*w**4/3 + w**3 - 4*w**2/3 - 4*w/3 = 0?
-2, -1, 0, 1
Factor 5*r**2 + 765*r + 4410.
5*(r + 6)*(r + 147)
Determine o so that -2*o**5 - 14*o**4 - 18*o**3 + 14*o**2 + 20*o = 0.
-5, -2, -1, 0, 1
Factor -5*o**2 - 920*o.
-5*o*(o + 184)
Let 3*h**5 - 39*h**3 - 36*h**2 = 0. Calculate h.
-3, -1, 0, 4
Solve -16*s**4 + 188*s**3 - 704*s**2 + 772*s + 240 = 0.
-1/4, 3, 4, 5
Factor 588*z**2 + 420*z + 75.
3*(14*z + 5)**2
Factor -2*u**4/17 + 1018*u**3/17 + 3066*u**2/17 + 3070*u/17 + 1024/17.
-2*(u - 512)*(u + 1)**3/17
Suppose -4*o**4/3 - 70*o**3/3 - 320*o**2/3 - 110*o/3 + 48 = 0. What is o?
-9, -8, -1, 1/2
Let 5*p**5 - 20*p**4 - 85*p**3 + 340*p**2 + 80*p - 320 = 0. What is p?
-4, -1, 1, 4
Factor -3*p**3 + 42*p**2 - 75*p + 36.
-3*(p - 12)*(p - 1)**2
Factor 10*l**2 - 302*l + 60.
2*(l - 30)*(5*l - 1)
Determine i, given that -i**5 - 28*i**4 - 168*i**3 + 82*i**2 + 457*i - 342 = 0.
-19, -9, -2, 1
Factor 22050*d**4 + 28560*d**3 - 2512*d**2 - 7616*d + 1568.
2*(7*d - 2)**2*(15*d + 14)**2
Determine v so that 5*v**2/4 - 75*v + 280 = 0.
4, 56
Determine n so that 2*n**5/13 + 212*n**4/13 - 24*n**3/13 - 2512*n**2/13 + 3392*n/13 = 0.
-106, -4, 0, 2
Factor -5*h**2/9 + 581*h/9.
-h*(5*h - 581)/9
Suppose f**2 + 28*f - 60 = 0. Calculate f.
-30, 2
Factor -3*p**3/7 + 39*p**2/7.
-3*p**2*(p - 13)/7
Let -2*k**4 + 418*k**3 + 1694*k**2 + 2126*k + 852 = 0. Calculate k.
-2, -1, 213
Find r such that -2*r**2/17 - 260*r/17 + 798/17 = 0.
-133, 3
Factor -4*k**3/5 - 484*k**2/5 + 196*k - 492/5.
-4*(k - 1)**2*(k + 123)/5
Determine j so that -j**5/4 - 11*j**4/4 + 831*j**3/4 - 7241*j**2/4 + 3211*j/2 = 0.
-38, 0, 1, 13
Find q such that q**4/3 + q**3 - 3*q**2 + 5*q/3 = 0.
-5, 0, 1
Factor -2*w**3/3 - 16*w**2/3 - 40*w/3 - 32/3.
-2*(w + 2)**2*(w + 4)/3
Find s such that 2*s**3 - 68*s**2 + 600*s - 1584 = 0.
6, 22
Factor -k**5 - 190*k**4/3 + 128*k**3/3.
-k**3*(k + 64)*(3*k - 2)/3
Factor 3*m**2 + 22776*m + 43228848.
3*(m + 3796)**2
Factor -2*r**2/11 + 670*r/11 - 668/11.
-2*(r - 334)*(r - 1)/11
Suppose -2*m**3/3 - 44*m**2 + 2*m/3 + 44 = 0. What is m?
-66, -1, 1
Determine d so that 5*d**3 + 2755*d**2 + 10960*d + 10940 = 0.
-547, -2
Factor a**5 - 6*a**4 + 14*a**3 - 16*a**2 + 9*a - 2.
(a - 2)*(a - 1)**4
Factor 4*a**4 + 16*a**3 + 20*a**2 + 8*a.
4*a*(a + 1)**2*(a + 2)
Factor -h**3/4 - 7*h**2/2 + h/4 + 7/2.
-(h - 1)*(h + 1)*(h + 14)/4
Factor 2*h**4 - 48*h**3 + 330*h**2 - 484*h.
2*h*(h - 11)**2*(h - 2)
Let -k**4 - k**3 + 94*k**2 - 176*k = 0. What is k?
-11, 0, 2, 8
Factor 4*a**5 + 28*a**4 - 36*a**3 - 28*a**2 + 32*a.
4*a*(a - 1)**2*(a + 1)*(a + 8)
Suppose -3*i**2/4 - 165*i/2 - 9075/4 = 0. Calculate i.
-55
Find u, given that 11*u**3/7 + 1829*u**2/7 + 76277*u/7 + 20667/7 = 0.
-83, -3/11
Let o**3/6 + 148*o**2/3 - 4291*o/6 + 7595/3 = 0. What is o?
-310, 7
Suppose k**3 - 19*k**2 - 41*k - 21 = 0. Calculate k.
-1, 21
Let 8*v**4 - 97*v**3 + 4*v**2 + 97*v - 12 = 0. Calculate v.
-1, 1/8, 1, 12
What is o in -2*o**2/3 + 138*o - 412/3 = 0?
1, 206
Factor t**2 + 22*t + 121.
(t + 11)**2
Factor 3*s**2 + 12*s.
3*s*(s + 4)
Factor -2*s**2/5 + 20*s - 192/5.
-2*(s - 48)*(s - 2)/5
Factor -24*y**3/5 - 8*y**2 - 10*y/3.
-2*y*(6*y + 5)**2/15
Find z such that 4*z**3/7 - 16*z/7 = 0.
-2, 0, 2
Suppose -2*d**4/5 + 2*d**3/5 + 14*d**2/5 - 2*d/5 - 12/5 = 0. What is d?
-2, -1, 1, 3
Factor -k**5/2 + 3*k**3 + 4*k**2 + 3*k/2.
-k*(k - 3)*(k + 1)**3/2
Factor -2*q**2/9 - 4640*q/9 - 2691200/9.
-2*(q + 1160)**2/9
Find u such that 3*u**5/4 - 195*u**4/2 + 1827*u**3 - 24549*u**2/2 + 112161*u/4 = 0.
0, 7, 109
What is k in 3*k**3 - 3*k**2 - 24*k + 36 = 0?
-3, 2
Let 126*f**5 + 87*f**4/2 - 1509*f**3 + 1494*f**2 + 660*f + 48 = 0. Calculate f.
-4, -1/4, -2/21, 2
Determine v, given that v**3/3 - 91*v**2/3 - 185*v/3 - 31 = 0.
-1, 93
Find j such that 2*j**4/13 + 18*j**3/13 - 8*j**2/13 - 24*j - 288/13 = 0.
-6, -1, 4
Factor k**2/5 + 266*k/5 + 53.
(k + 1)*(k + 265)/5
Factor -5*z**3 - 90*z**2 + 5*z + 90.
-5*(z - 1)*(z + 1)*(z + 18)
Determine z, given that -2*z**3/5 + 92*z**2/5 - 1058*z/5 = 0.
0, 23
Factor j**3 + 626*j**2 + 3729*j + 5580.
(j + 3)**2*(j + 620)
Factor -y**2/2 + 13*y/3 + 3/2.
-(y - 9)*(3*y + 1)/6
Determine p so that 6*p**3 + 201*p**2 + 444*p - 651 = 0.
-31, -7/2, 1
Solve 243*r**3 - 306*r**2 + 84*r + 8 = 0 for r.
-2/27, 2/3
What is v in -v**5/2 - v**4 + 9*v**3/2 + 9*v**2 = 0?
-3, -2, 0, 3
Factor -2*x**2/9 + 200*x/9 - 22.
-2*(x - 99)*(x - 1)/9
Suppose -12*y**4 - 69*y**3 - 90*y**2 - 21*y + 12 = 0. What is y?
-4, -1, 1/4
Determine x, given that -4*x**5/7 + 4*x**4 + 72*x**3/7 - 992*x**2/7 + 2432*x/7 - 1536/7 = 0.
-6, 1, 4
What is p in p**3/7 - 43*p**2/7 + 40*p/7 + 12 = 0?
-1, 2, 42
Determine o so that 5*o**5 - 5*o**4 - 45*o**3 + 65*o**2 + 40*o - 60 = 0.
-3, -1, 1, 2
Factor p**5/2 + 5*p**4/2 - 3*p**3/2 - 13*p**2/2 + 5*p.
p*(p - 1)**2*(p + 2)*(p + 5)/2
Factor -2*a**2/3 + 1030*a/3.
-2*a*(a - 515)/3
Factor 4*i**2 - 2136*i + 285156.
4*(i - 267)**2
Solve -o**4 - 2*o**3 + 7*o**2 + 20*o + 12 = 0.
-2, -1, 3
Determine i, given that 2*i**2 + 728*i + 66248 = 0.
-182
Determine y so that -2*y**2/9 + 2*y = 0.
0, 9
Factor p**5/4 - 9*p**4/2 + 31*p**3/2 - 22*p**2 + 57*p/4 - 7/2.
(p - 14)*(p - 1)**4/4
Factor -2*c**2/11 - 24*c/11 + 170/11.
-2*(c - 5)*(c + 17)/11
Find t, given that 2*t**4/5 + 2*t**3 - 4*t**2 - 8*t + 48/5 = 0.
-6, -2, 1, 2
Factor -5*y**2 - 10*y.
-5*y*(y + 2)
What is u in -u**5/7 + 3*u**4/7 + 5*u**3/7 - 15*u**2/7 - 4*u/7 + 12/7 = 0?
-2, -1, 1, 2, 3
Factor -3*q**3 + 180*q**2 + 369*q + 186.
-3*(q - 62)*(q + 1)**2
Suppose -i**2/9 - 64*i/9 + 65/9 = 0. Calculate i.
-65, 1
Factor -9*p**3 - 10086*p**2 - 6720*p.
-3*p*(p + 1120)*(3*p + 2)
Factor 16673334*m**3/7 + 11135560*m**2/7 + 1906*m + 4/7.
2*(3*m + 2)*(1667*m + 1)**2/7
Find u such that 5*u**3 - 110*u**2 = 0.
0, 22
Factor -2*o**2/15 - 7888*o/15 - 7777568/15.
-2*(o + 1972)**2/15
Find l, given that -2*l**3/7 + 2*l**2 + 396*l/7 = 0.
-11, 0, 18
Factor -2*g**2/5 + 6*g/5.
-2*g*(g - 3)/5
Factor u**3 + 123*u**2 + 1575*u + 5341.
(u + 7)**2*(u + 109)
Let b**4/4 + 11*b**3/2 + 35*b**2 + 50*b = 0. Calculate b.
-10, -2, 0
Factor -4*k**5 - 728*k**4 - 32388*k**3 + 66976*k**2 - 33856*k.
-4*k*(k - 1)**2*(k + 92)**2
Factor -3*n**2 - 105*n + 108.
-3*(n - 1)*(n + 36)
What is a in -4*a**5/5 - 4*a**4/5 = 0?
-1, 0
Factor -2*j**5 + 22*j**4 + 112*j**3 + 120*j**2.
-2*j**2*(j - 15)*(j + 2)**2
Factor 3*v**2 + 48*v - 51.
3*(v - 1)*(v + 17)
Determine j so that -5*j**2 - 33*j - 18 = 0.
-6, -3/5
Suppose n**3/3 + 146*n**2/3 + 571*n/3 + 142 = 0. Calculate n.
-142, -3, -1
Suppose 10*v**2/9 + 4252*v/9 + 850/9 = 0. Calculate v.
-425, -1/5
Suppose z**2 + 290*z - 1176 = 0. What is z?
-294, 4
Find k such that 2*k**5/3 + 26*k**4/3 - 28*k**3/3 = 0.
-14, 0, 1
Solve 12*y**4 - 57*y**3 - 399*y**2 - 528*y - 108 = 0 for y.
-2, -1/4, 9
What is t in t**2 + 2592*t = 0?
-2592, 0
Let 5*c**3 + 10*c**2 - 45*c - 90 = 0. What is c?
-3, -2, 3
What is r in -5*r**5 - 155*r**4 + 495*r**3 - 505*r**2 + 170*r = 0?
-34, 0, 1
Factor 2*w**2/3 - 1008*w + 381024.
2*(w - 756)**2/3
Factor -20*h**3 - 272*h**2 - 868*h + 392.
-4*(h + 7)**2*(5*h - 2)
Determine m so that m**2/9 - 86*m + 16641 = 0.
387
Solve 3*w**4/8 - 186*w**3 + 34596*w**2 - 2859936*w + 88658016 = 0 for w.
124
Factor 5*t**2 - 18*t - 35.
(t - 5)*(5*t + 7)
Factor -2*h**3/11 + 46*h**2/11 + 2*h/11 - 46/11.
-2*(h - 23)*(h - 1)*(h + 1)/11
Suppose 156*j**5 + 236*j**4 - 1808*j**3 - 976*j**2 + 192*j = 0. Calculate j.
-4, -2/3, 0, 2/13, 3
Suppose d**3/6 - 52*d**2 + 207*d/2 - 155/3 = 0. What is d?
1, 310
Let p**4/5 - 32*p**3/5 + 256*p**2/5 = 0. Calculate p.
0, 16
Solve -s**2 - 772*s - 148996 = 0 for s.