*n**3 - 297*n**2/2 - 605*n/4 = 0.
-11, -1, 0, 5
Factor -104882*c**2 - 10992*c - 288.
-2*(229*c + 12)**2
Determine k so that 3*k**5/2 - 7*k**4 + 5*k**3 + 10*k**2 - 13*k/2 - 3 = 0.
-1, -1/3, 1, 2, 3
Factor -2*n**2/19 + 186*n/19 - 364/19.
-2*(n - 91)*(n - 2)/19
Factor 4*l**5 - 348*l**4 + 8076*l**3 - 22180*l**2 + 21504*l - 7056.
4*(l - 42)**2*(l - 1)**3
Solve -2*g**5/9 + 14*g**4/3 - 116*g**3/3 + 1420*g**2/9 - 950*g/3 + 250 = 0 for g.
3, 5
Factor 3*j**4 + 72*j**3 - 324*j**2 + 336*j.
3*j*(j - 2)**2*(j + 28)
Solve -l**4/2 - 9*l**3 - 105*l**2/2 - 116*l - 72 = 0.
-9, -4, -1
Factor -2*h**4/3 - 152*h**3/3 - 1444*h**2 - 54872*h/3 - 260642/3.
-2*(h + 19)**4/3
Factor -8*r**2/7 - 20*r - 68/7.
-4*(r + 17)*(2*r + 1)/7
Factor 3*k**4 + 141*k**3 + 405*k**2 + 399*k + 132.
3*(k + 1)**3*(k + 44)
Factor 2*j**4 - 16*j**3 + 30*j**2.
2*j**2*(j - 5)*(j - 3)
Factor 2*u**2 + 268*u + 8978.
2*(u + 67)**2
Factor 5*n**2/3 - 255*n + 760/3.
5*(n - 152)*(n - 1)/3
Solve -h**2/5 + 4*h/5 = 0 for h.
0, 4
Factor -5*z**2/3 + 200*z/3 - 2000/3.
-5*(z - 20)**2/3
Determine m so that -3*m**5/2 - 80*m**4/3 - 66*m**3 - 53*m**2 - 43*m/6 + 5 = 0.
-15, -1, 2/9
Factor 2*k**3/21 - 74*k**2/21 + 134*k/21 + 10.
2*(k - 35)*(k - 3)*(k + 1)/21
Solve n**4/11 + 26*n**3/11 = 0.
-26, 0
Factor 5*x**2 - 4615*x - 4620.
5*(x - 924)*(x + 1)
Factor -5*n**3 - 35*n**2 - 30*n.
-5*n*(n + 1)*(n + 6)
Solve 5*x**3 - 170*x**2 + 165*x = 0 for x.
0, 1, 33
Factor -231*u**2/4 - 39*u/4 + 15/2.
-3*(7*u - 2)*(11*u + 5)/4
Factor y**4/3 - 3*y**3 - y**2/3 + 3*y.
y*(y - 9)*(y - 1)*(y + 1)/3
Let 10*h**5 - 1345*h**4 - 3410*h**3 - 2060*h**2 + 680*h + 685 = 0. What is h?
-1, 1/2, 137
Let 5*w**2 + 15785*w - 15790 = 0. What is w?
-3158, 1
Factor 2*u**3 + 312*u**2 + 618*u + 308.
2*(u + 1)**2*(u + 154)
Suppose -d**3/2 + 292*d**2 + 1759*d/2 + 587 = 0. Calculate d.
-2, -1, 587
Suppose -4*p**2/5 + 372*p/5 + 152 = 0. What is p?
-2, 95
Factor 5*f**3 - 110*f**2 - 1200*f.
5*f*(f - 30)*(f + 8)
Determine x, given that -5*x**5 + 1180*x**4 - 68420*x**3 - 142790*x**2 + 68425*x + 141610 = 0.
-2, -1, 1, 119
Determine r so that -4*r**4 + 704*r**3 - 30976*r**2 = 0.
0, 88
What is s in s**3 + 1302*s**2 + 422496*s - 850208 = 0?
-652, 2
Factor 2*k**4/13 - 12*k**2/13 + 16*k/13 - 6/13.
2*(k - 1)**3*(k + 3)/13
Find k such that -k**2 - 60*k - 171 = 0.
-57, -3
Let 3*z**4/8 + 27*z**3/8 + 45*z**2/8 - 75*z/8 = 0. What is z?
-5, 0, 1
Factor -31*g**4/2 + 1237*g**3/4 + 15*g**2.
-g**2*(g - 20)*(62*g + 3)/4
Let -a**4/5 + 3*a**3 + 117*a**2/5 - 1859*a/5 = 0. Calculate a.
-11, 0, 13
Find a, given that 5*a**4 + 330*a**3 + 7260*a**2 + 53240*a = 0.
-22, 0
Determine q, given that -4*q**5/7 + 142*q**4/7 - 586*q**3/7 + 886*q**2/7 - 562*q/7 + 124/7 = 0.
1/2, 1, 2, 31
Solve 2170*c**3/9 + 2644*c**2/9 + 482*c/9 + 8/9 = 0.
-1, -1/5, -4/217
Factor 2*i**4 - 722*i**3 + 64798*i**2 + 65522*i.
2*i*(i - 181)**2*(i + 1)
Determine k, given that 18*k**5 + 190*k**4 + 596*k**3 + 632*k**2 + 16*k - 192 = 0.
-6, -2, -1, 4/9
Factor -3*m**3 + 42*m**2/5 - 21*m/5 - 6/5.
-3*(m - 2)*(m - 1)*(5*m + 1)/5
Determine u so that -u**5 + 18*u**4 + 89*u**3 - 18*u**2 - 88*u = 0.
-4, -1, 0, 1, 22
Factor -2*k**3/3 - 2*k**2/3 + 22*k - 42.
-2*(k - 3)**2*(k + 7)/3
Factor -3*f**2/2 + 4358*f + 2906.
-(f - 2906)*(3*f + 2)/2
Suppose -5*j**2/4 - 1415*j - 5655/4 = 0. What is j?
-1131, -1
Let -5*x**2/2 + 500*x - 2955/2 = 0. What is x?
3, 197
Factor 3*g**3 - 237*g**2 - 483*g - 243.
3*(g - 81)*(g + 1)**2
Factor -j**3 - 19*j**2 - 80*j + 100.
-(j - 1)*(j + 10)**2
Solve 5*u**2 + 55*u - 130 = 0.
-13, 2
Let -2*k**3/3 - 20*k**2/3 - 22*k - 24 = 0. What is k?
-4, -3
Factor x**2 - 8*x - 209.
(x - 19)*(x + 11)
Factor -4*l**5 + 44*l**4 + 100*l**3 + 52*l**2.
-4*l**2*(l - 13)*(l + 1)**2
Factor 2*g**2/5 - 56*g/5 + 392/5.
2*(g - 14)**2/5
Find l such that 3*l**5/4 + 21*l**4/8 - 51*l**3/8 - 15*l**2/4 = 0.
-5, -1/2, 0, 2
Determine g so that 2*g**2/5 - 502*g/5 - 504/5 = 0.
-1, 252
What is z in -16*z**4/3 - 7028*z**3/3 + 12340*z**2/3 - 3532*z/3 - 588 = 0?
-441, -1/4, 1
Factor -2*m**2 + 164*m - 162.
-2*(m - 81)*(m - 1)
Suppose v**4 - 3*v**3 + v**2 + 3*v - 2 = 0. What is v?
-1, 1, 2
Suppose -2*d**2/17 + 14*d - 696/17 = 0. What is d?
3, 116
Factor -3*q**4/2 + 33*q**3/2 - 93*q**2/2 + 63*q/2.
-3*q*(q - 7)*(q - 3)*(q - 1)/2
Determine h, given that 21*h**5 + 153*h**4 - 42*h**3 - 2376*h**2 - 4704*h - 1152 = 0.
-4, -3, -2/7, 4
Let -g**4/6 + 4*g**3/3 - 7*g**2/3 - 4*g/3 + 5/2 = 0. Calculate g.
-1, 1, 3, 5
Factor -2*z**3/3 + 328*z**2/3 - 650*z/3 + 108.
-2*(z - 162)*(z - 1)**2/3
What is b in -3*b**3 + 126*b**2 + 705*b = 0?
-5, 0, 47
Factor -r**5 - 21*r**4 - 19*r**3 + 21*r**2 + 20*r.
-r*(r - 1)*(r + 1)**2*(r + 20)
Suppose -18*h**3/5 - 82*h**2/5 + 10*h + 10 = 0. What is h?
-5, -5/9, 1
Factor -w**5 + 6*w**4 + w**3 - 6*w**2.
-w**2*(w - 6)*(w - 1)*(w + 1)
Factor 2*p**5/5 - 22*p**4 + 1456*p**3/5 + 1568*p**2/5.
2*p**2*(p - 28)**2*(p + 1)/5
Solve -2*t**2 - 49*t/3 - 8/3 = 0 for t.
-8, -1/6
Factor o**4/3 + 53*o**3/3 - 346*o**2/3 + 472*o/3.
o*(o - 4)*(o - 2)*(o + 59)/3
Determine q, given that q**4 + 226*q**3 - 455*q**2 + 228*q = 0.
-228, 0, 1
Factor 2*i**2 - 112*i - 114.
2*(i - 57)*(i + 1)
Factor -5*i**2 - 82410*i - 339570405.
-5*(i + 8241)**2
Factor -o**2/8 - 33*o/8 + 95/4.
-(o - 5)*(o + 38)/8
Factor -n**3/6 + 2*n**2/3 + 599*n/6 + 99.
-(n - 27)*(n + 1)*(n + 22)/6
Suppose -q**3/5 - 7*q**2 - 287*q/5 - 253/5 = 0. Calculate q.
-23, -11, -1
Determine u, given that 2*u**3/7 + 2*u**2 - 14*u - 98 = 0.
-7, 7
Let l**5/4 + 166*l**4 - 333*l**3/2 - 166*l**2 + 665*l/4 = 0. What is l?
-665, -1, 0, 1
Suppose -16*s**4 - 20*s**3 + 76*s**2 - 28*s - 12 = 0. Calculate s.
-3, -1/4, 1
Factor 2*r**2/3 + 472*r/3 + 27848/3.
2*(r + 118)**2/3
Let 3*t**3 - 39*t**2/5 - 27*t/5 + 27/5 = 0. What is t?
-1, 3/5, 3
What is k in 2*k**3/7 - 16*k**2/7 + 34*k/7 - 20/7 = 0?
1, 2, 5
Determine m, given that -m**3/4 - 43*m**2/2 + 89*m - 90 = 0.
-90, 2
Find w such that -4*w**4 + 8*w**3 - 4*w**2 = 0.
0, 1
Factor 15*q**4 + 144*q**3 + 306*q**2 + 240*q + 63.
3*(q + 1)**2*(q + 7)*(5*q + 3)
Find t such that t**5/2 + 5*t**4 + 9*t**3/2 = 0.
-9, -1, 0
Factor j**2/2 + 277*j + 76729/2.
(j + 277)**2/2
Suppose -2*t**5/5 + 6*t**4/5 - 6*t**3/5 + 2*t**2/5 = 0. What is t?
0, 1
Let 2*u**5/11 + 4*u**4/11 + 2*u**3/11 = 0. What is u?
-1, 0
Factor v**3/10 + 3*v**2/10 + v/5.
v*(v + 1)*(v + 2)/10
Solve -5*i**2/7 + 1301*i/7 + 1044/7 = 0.
-4/5, 261
Factor -6*h**4/11 + 1292*h**3/11 - 430*h**2/11.
-2*h**2*(h - 215)*(3*h - 1)/11
Find g, given that -g**5 - 57*g**4 + 4*g**3 + 228*g**2 = 0.
-57, -2, 0, 2
Suppose -u**5/3 - 19*u**4/3 - 33*u**3 - 27*u**2 = 0. What is u?
-9, -1, 0
Suppose 2*s**3/3 + 868*s**2/3 - 2*s/3 - 868/3 = 0. Calculate s.
-434, -1, 1
Factor 2*b**2 - 48*b.
2*b*(b - 24)
Factor -f**2/2 - 23*f.
-f*(f + 46)/2
Let h**4/3 + 10*h**3 = 0. What is h?
-30, 0
Solve 2*z**5/3 - 181*z**4/6 - 335*z**3/6 + 275*z**2/6 + 331*z/6 - 47/3 = 0 for z.
-2, -1, 1/4, 1, 47
Factor 5*w**4 + 30*w**3 + 60*w**2 + 40*w.
5*w*(w + 2)**3
What is w in -w**2 + 192*w + 985 = 0?
-5, 197
Suppose 12*l**5 - 44*l**4 - 192*l**3 + 96*l**2 + 320*l - 192 = 0. Calculate l.
-2, 2/3, 1, 6
Find a such that -18*a**3/7 + 244*a**2/7 - 534*a/7 + 44 = 0.
1, 14/9, 11
Factor -i**4/3 - 8*i**3/3 + 65*i**2/3.
-i**2*(i - 5)*(i + 13)/3
Find b, given that 2*b**5/11 - 2*b**4 + 4*b**3 + 156*b**2/11 - 558*b/11 + 378/11 = 0.
-3, 1, 3, 7
Factor -2*l**2/3 + 730*l/9 + 244/9.
-2*(l - 122)*(3*l + 1)/9
Find b such that -5*b**2 - 3225*b + 12980 = 0.
-649, 4
Let 4*h**5 + 444*h**4 + 428*h**3 - 1340*h**2 - 2208*h - 880 = 0. What is h?
-110, -1, 2
Let 5*n**4 - 20*n**3 - 25*n**2 = 0. Calculate n.
-1, 0, 5
Factor -n**4 - 70*n**3 - 1293*n**2 - 2380*n - 1156.
-(n + 1)**2*(n + 34)**2
Suppose -3*w**2/5 + 9*w - 42/5 = 0. Calculate w.
1, 14
Suppose -27*n**4/5 - 24*n**3/5 + 3*n**2/5 = 0. Calculate n.
-1, 0, 1/9
Factor 2*a**4 + 32*a**3 - 36*a**2 - 32*a + 34.
2*(a - 1)**2*(a + 1)*(a + 17)
Factor 2*x**2/5 + 36*x/5 + 18.
2*(x + 3)*(x + 15)/5
Solve 2*a**3/13 + 2*a**2/13 - 80*a/13 - 224/13 = 0 for a.
-4, 7
Factor -2*s**3 + 26*s**2 + 1498*s + 1470.
-2*(s - 35)*(s + 1)*(s + 21)
Solve w**5 + 21*w**4 - 165*w**3 - 25*w**2 + 1464*w - 1296 = 0 for w.
-27, -3, 1, 4
Find q, given that 5*q**3 - 450*q**2 + 8640*q + 69120 = 0.
-6, 48
Factor 2*f**2/5 - 106*f/5 - 708/5.
2*(f - 59)*(f + 6)/5
Let -r**5 - 15*r**4 - 3*r**3 + 431*r**2 -