.
-3*(t - 2)**2*(t + 1)*(t + 3)
Solve 16*b**4 + 228*b**3 + 588*b**2 + 128*b - 528 = 0 for b.
-11, -2, 3/4
Factor 3*s**4 + 15*s**3 - 291*s**2 + 273*s.
3*s*(s - 7)*(s - 1)*(s + 13)
Find u such that 2*u**5/13 - 24*u**4/13 + 34*u**3/13 + 68*u**2/13 - 72*u/13 - 80/13 = 0.
-1, 2, 10
Let 65*h**3 + 3195*h**2 + 3610*h + 480 = 0. Calculate h.
-48, -1, -2/13
Factor -5*a**4 + 110*a**3 - 825*a**2 + 2340*a - 1620.
-5*(a - 9)*(a - 6)**2*(a - 1)
Factor -3*j**5 - 27*j**4 + 192*j**3 - 264*j**2 - 144*j + 336.
-3*(j - 2)**3*(j + 1)*(j + 14)
Factor -2*u**4 - 139*u**3 + 357*u**2 - 216*u.
-u*(u - 1)*(u + 72)*(2*u - 3)
Factor 8*b**3 + 44*b**2 - 80*b + 28.
4*(b - 1)*(b + 7)*(2*b - 1)
Factor -2*k**5 - 14*k**4 - 32*k**3 - 16*k**2 + 32*k + 32.
-2*(k - 1)*(k + 2)**4
Let -2*a**3/17 + 14*a**2/17 + 20*a/17 - 32/17 = 0. What is a?
-2, 1, 8
Determine q, given that 5*q**2/6 + 17*q - 107/6 = 0.
-107/5, 1
Find i, given that -15*i**5/2 + 18*i**4 + 573*i**3/2 + 393*i**2 + 36*i - 96 = 0.
-4, -1, 2/5, 8
Factor -t**5/2 + 7*t**4/2 + 17*t**3/2 + 9*t**2/2.
-t**2*(t - 9)*(t + 1)**2/2
Determine k, given that -5*k**5 + 50*k**4 + 840*k**3 + 3040*k**2 + 3200*k = 0.
-4, -2, 0, 20
Let 5*d**4 + 12*d**3 - 61*d**2 + 24*d + 20 = 0. What is d?
-5, -2/5, 1, 2
Factor 4*p**2/7 + 52*p/7 - 8.
4*(p - 1)*(p + 14)/7
Find r such that -163*r**3/4 - 169*r**2/2 - 187*r/4 - 3 = 0.
-1, -12/163
Find s, given that s**3/2 + 9*s**2 + 5*s/2 - 102 = 0.
-17, -4, 3
Solve p**4/12 - 5*p**3/6 - 11*p**2/12 = 0.
-1, 0, 11
Factor -3*d**5 - 3*d**4 + 114*d**3 - 372*d**2 + 456*d - 192.
-3*(d - 2)**3*(d - 1)*(d + 8)
Factor -3*h**2/7 + 27*h/7 + 30/7.
-3*(h - 10)*(h + 1)/7
Suppose -25*z**5 - 30*z**4 + 70*z**3 + 140*z**2 + 75*z + 10 = 0. Calculate z.
-1, -1/5, 2
Determine y, given that -5*y**2 + 305*y + 630 = 0.
-2, 63
Factor 4*a**4 - 12*a**3 - 4*a**2 + 12*a.
4*a*(a - 3)*(a - 1)*(a + 1)
Factor 2*d**5/9 - 22*d**4/9 + 28*d**3/3 - 136*d**2/9 + 80*d/9.
2*d*(d - 5)*(d - 2)**3/9
Factor -4*u**4 - 96*u**3 + 204*u**2 - 104*u.
-4*u*(u - 1)**2*(u + 26)
Factor -p**2/9 - 67*p/9 - 140/3.
-(p + 7)*(p + 60)/9
Suppose -2*i**2/9 - 110*i/9 - 224/3 = 0. Calculate i.
-48, -7
Solve -c**2/5 + 3*c - 36/5 = 0 for c.
3, 12
Solve -2*g**4/15 + 38*g**3/15 - 26*g**2/3 + 154*g/15 - 4 = 0 for g.
1, 2, 15
Factor -5*c**4 + 45*c**3 - 105*c**2 + 95*c - 30.
-5*(c - 6)*(c - 1)**3
Factor -2*g**2/15 + 28*g/5 + 176/15.
-2*(g - 44)*(g + 2)/15
Factor -w**5/2 + 3*w**4/2 - w**3.
-w**3*(w - 2)*(w - 1)/2
Find o, given that 3*o**5 - 48*o**3 - 18*o**2 + 189*o + 162 = 0.
-3, -2, -1, 3
Find j such that 21*j**5 - 204*j**4 + 549*j**3 - 498*j**2 + 60*j + 72 = 0.
-2/7, 1, 2, 6
Factor w**2 + 113*w + 112.
(w + 1)*(w + 112)
Factor 3*d**3/4 + 273*d**2/4 - 3*d - 273.
3*(d - 2)*(d + 2)*(d + 91)/4
Factor -492*q**3 - 1971*q**2 - 1980*q - 12.
-3*(q + 2)**2*(164*q + 1)
Determine t so that -t**4/2 - 49*t**3/2 - 312*t**2 - 288*t = 0.
-24, -1, 0
Factor 20*w**3 - 72*w**2 + 48*w + 32.
4*(w - 2)**2*(5*w + 2)
Factor 3*u**2 + 10494*u + 9177003.
3*(u + 1749)**2
Let 2*r**5/5 - 8*r**4/5 - 2*r**3 + 8*r**2 + 8*r/5 - 32/5 = 0. Calculate r.
-2, -1, 1, 2, 4
Suppose -i**3 + 16*i**2 - 41*i + 26 = 0. Calculate i.
1, 2, 13
Factor -q**4/7 + 3*q**3/7 - q**2/7 - 3*q/7 + 2/7.
-(q - 2)*(q - 1)**2*(q + 1)/7
Factor -v**2/5 - 8*v/5 - 12/5.
-(v + 2)*(v + 6)/5
Let 4*a**2/3 - 616*a = 0. What is a?
0, 462
Suppose -o**4 + 21*o**3 - 20*o**2 = 0. What is o?
0, 1, 20
Factor -t**5 - 2*t**4 + t**3 + 2*t**2.
-t**2*(t - 1)*(t + 1)*(t + 2)
Factor 4*w**2/5 - 4*w/5 - 8/5.
4*(w - 2)*(w + 1)/5
Factor -3*s**2/7 - 18*s - 189.
-3*(s + 21)**2/7
Factor -3*w**2 + 234*w - 4563.
-3*(w - 39)**2
Find a such that -2*a**2/5 + 144*a/5 + 146/5 = 0.
-1, 73
Factor t**3 + 65*t**2 - 204*t.
t*(t - 3)*(t + 68)
Determine a so that -4*a**4/7 + 108*a**3/7 + 892*a**2/7 - 4596*a + 8568 = 0.
-17, 2, 21
Let 5*a**4/4 + 15*a**3 - 35*a**2/2 - 15*a + 65/4 = 0. Calculate a.
-13, -1, 1
Solve -3*z**5 - 60*z**4 - 369*z**3 - 528*z**2 + 960*z = 0.
-8, -5, 0, 1
Determine i, given that -9*i**4 - 129*i**3 - 36*i**2 + 84*i = 0.
-14, -1, 0, 2/3
Factor 3*i**2 + 1113*i.
3*i*(i + 371)
Factor -c**2/2 + 53*c/2 - 51.
-(c - 51)*(c - 2)/2
Factor 21*d**2 + 1401*d - 402.
3*(d + 67)*(7*d - 2)
What is u in -18*u**2/7 - 4036*u/7 - 128 = 0?
-224, -2/9
Factor 3*s**2 + 1953*s + 1950.
3*(s + 1)*(s + 650)
Factor 3*k**3/7 - 432*k**2/7 - 927*k - 3318.
3*(k - 158)*(k + 7)**2/7
Solve 2*s**3 + 89*s**2 + 360*s = 0 for s.
-40, -9/2, 0
Factor -z**3 + 774*z**2 - 148992*z - 301088.
-(z - 388)**2*(z + 2)
Solve -2*y**2/7 + 1322*y/7 - 1320/7 = 0.
1, 660
Let -k**5/3 - 21*k**4 - 1256*k**3/3 - 6424*k**2/3 + 9680*k - 21296/3 = 0. What is k?
-22, 1, 2
Determine x, given that -4*x**4 - 24*x**3 + 48*x**2 + 152*x + 84 = 0.
-7, -1, 3
Factor 2*q**2/5 - 50*q.
2*q*(q - 125)/5
Determine g so that 2*g**4/5 - 28*g**3/5 - 6*g**2 = 0.
-1, 0, 15
What is n in 4*n**2 - 176*n + 1936 = 0?
22
Let -3*x**2/2 + 131*x + 88 = 0. What is x?
-2/3, 88
Factor -14*u**2/3 - 752*u/3 + 72.
-2*(u + 54)*(7*u - 2)/3
Factor b**5/3 + 205*b**4/3 + 4692*b**3 + 328304*b**2/3 + 314432*b/3.
b*(b + 1)*(b + 68)**3/3
Factor 3*w**3 + 15*w**2 + 21*w + 9.
3*(w + 1)**2*(w + 3)
Factor 8*v**5 - 692*v**4 - 348*v**3.
4*v**3*(v - 87)*(2*v + 1)
Factor -2*b**2/5 - 386*b/5 - 1512/5.
-2*(b + 4)*(b + 189)/5
Factor -3*x**3 - 36*x**2 - 63*x - 30.
-3*(x + 1)**2*(x + 10)
Let k**3 + 53*k**2 - k - 53 = 0. What is k?
-53, -1, 1
Suppose 2*o**5 - 30*o**4 - 406*o**3 - 642*o**2 + 404*o + 672 = 0. What is o?
-7, -2, -1, 1, 24
Let 10*r**4/7 + 34*r**3/7 + 6*r**2 + 22*r/7 + 4/7 = 0. Calculate r.
-1, -2/5
Factor -4*r**4 + 164*r**3 + 176*r**2 - 336*r.
-4*r*(r - 42)*(r - 1)*(r + 2)
Solve 9*c**5/7 + 87*c**4/7 + 234*c**3/7 + 228*c**2/7 + 72*c/7 = 0.
-6, -2, -1, -2/3, 0
Find k such that 3*k**3/5 - 8*k**2/5 - 4*k/5 + 16/5 = 0.
-4/3, 2
Factor -4*r**2 - 88*r.
-4*r*(r + 22)
Let -2*t**2/5 + 2*t + 28/5 = 0. What is t?
-2, 7
Solve 162*m**4 + 26316*m**3 + 37754*m**2 + 12888*m + 1288 = 0 for m.
-161, -1, -2/9
Factor 4*d**3 + 64*d**2 - 68*d.
4*d*(d - 1)*(d + 17)
Let -3*f**4/4 - 237*f**3/2 - 1401*f**2/4 - 465*f/2 = 0. Calculate f.
-155, -2, -1, 0
Let 2*o**4 - 2*o**2 = 0. What is o?
-1, 0, 1
Factor 5*i**5 - 37*i**4 + 41*i**3 + 9*i**2 - 18*i.
i*(i - 6)*(i - 1)**2*(5*i + 3)
Factor 9*f**4 + 6*f**3 - 81*f**2 - 54*f.
3*f*(f - 3)*(f + 3)*(3*f + 2)
Find p such that 2*p**2/9 + 74*p/9 - 328/9 = 0.
-41, 4
Factor -d**2 + 146*d - 145.
-(d - 145)*(d - 1)
Factor -j**5 - 36*j**4 - 48*j**3 + 4672*j**2 - 24576*j + 36864.
-(j - 4)**3*(j + 24)**2
Find q such that 2*q**3/7 - 78*q**2/7 + 208*q/7 + 288/7 = 0.
-1, 4, 36
Factor f**3 - 71*f**2 + 206*f - 136.
(f - 68)*(f - 2)*(f - 1)
Solve c**4/4 - 5*c**3/2 + 21*c**2/4 + 10*c - 25 = 0.
-2, 2, 5
Factor q**4/6 - 4*q**3/3 - 5*q**2 + 112*q/3 + 245/6.
(q - 7)**2*(q + 1)*(q + 5)/6
Determine f, given that -4*f**5/7 - 148*f**4/7 - 136*f**3 + 7656*f**2/7 - 1692*f + 756 = 0.
-21, 1, 3
Factor -1587*m**3/4 - 3864*m**2 - 17415*m/4 + 54675/2.
-3*(m - 2)*(23*m + 135)**2/4
Determine q, given that q**2 + 138*q + 272 = 0.
-136, -2
What is x in -x**3 + 19*x**2 - 99*x + 81 = 0?
1, 9
Determine j so that -j**3 - 325*j**2/3 + 218*j/3 = 0.
-109, 0, 2/3
Factor -11*z**2 - 115*z - 300.
-(z + 5)*(11*z + 60)
Factor -4*z**2/7 - 64*z/7 - 220/7.
-4*(z + 5)*(z + 11)/7
Factor 4*x**4 + 88*x**3 + 380*x**2 - 1144*x.
4*x*(x - 2)*(x + 11)*(x + 13)
Factor 5*s**4 - 27*s**3 - 20*s**2 + 12*s.
s*(s - 6)*(s + 1)*(5*s - 2)
Find g such that 3*g**2 + 18*g + 15 = 0.
-5, -1
Suppose -2*d**4 - 44*d**3 - 338*d**2 - 1056*d - 1152 = 0. What is d?
-8, -3
Find n such that 5*n**3/3 - 50*n**2/3 - 265*n/3 - 70 = 0.
-3, -1, 14
Find r such that -5*r**5 + 15*r**4 + 45*r**3 + 25*r**2 = 0.
-1, 0, 5
What is y in y**4 - 3*y**3 + 4*y = 0?
-1, 0, 2
Factor -4*p**2 + 22224*p - 30869136.
-4*(p - 2778)**2
Find o such that -o**4/3 - o**3/3 + 4*o**2 = 0.
-4, 0, 3
Factor -h**2/5 + 116*h/5 - 3364/5.
-(h - 58)**2/5
Determine q so that -10*q**5 - 268*q**4 + 54*q**3 = 0.
-27, 0, 1/5
Factor -4*z**2 + 1760*z.
-4*z*(z - 440)
Factor -4*w**2 - 28*w.
-4*w*(w + 7)
Determine b, given that -2*b**4/3 - 76*b**3/3 + 80*b**2 - 244*b/3 + 82/3 = 0.
-41, 1
Factor -5*h**2 + 3335*h - 3330.
-5*(h - 666)*(h - 1)
Suppose -u**2/2 + 16*u - 128 = 0. Calculate u.
16
Suppose 3*s**3/5 - 66*s**2/5 + 441*s/5 - 162 = 0. Calculate s.
3, 9, 10
Find x such that 5*x**2 + 145*x - 150 = 0.
-