2157*z**2/7 - 6*z/7 = 0 for z.
-2/721, 0, 1
Factor -10*f**2 - 6235*f + 3120.
-5*(f + 624)*(2*f - 1)
Solve -2*k**2/5 + 580*k - 210250 = 0 for k.
725
Factor 4*u**4 - 92*u**3 + 708*u**2 - 2052*u + 1944.
4*(u - 9)**2*(u - 3)*(u - 2)
Find l, given that l**2 - 27*l - 198 = 0.
-6, 33
Factor -162*m**3 - 3312*m**2 - 1448*m - 160.
-2*(m + 20)*(9*m + 2)**2
Determine t so that -2*t**3/13 - 278*t**2/13 + 1722*t/13 - 2610/13 = 0.
-145, 3
Factor -4*a**4 + 8*a**3 + 4*a**2 - 8*a.
-4*a*(a - 2)*(a - 1)*(a + 1)
What is i in -3*i**4/7 + 279*i**3/7 + 81*i**2 + 285*i/7 = 0?
-1, 0, 95
Factor -2*z**4 + 14*z**3 - 6*z**2 - 62*z - 40.
-2*(z - 5)*(z - 4)*(z + 1)**2
Factor 2*r**4 - 168*r**3 + 802*r**2 - 948*r.
2*r*(r - 79)*(r - 3)*(r - 2)
Factor x**2/2 + 11*x/2 + 14.
(x + 4)*(x + 7)/2
Factor -15*t**3/4 - 24*t**2 - 9*t.
-3*t*(t + 6)*(5*t + 2)/4
Let g**5/3 + 4*g**4 + 52*g**3/3 + 32*g**2 + 64*g/3 = 0. Calculate g.
-4, -2, 0
Factor -9*p**3/5 + 651*p**2/5 - 2376*p + 3888/5.
-3*(p - 36)**2*(3*p - 1)/5
Let -2*z**4/13 - 6*z**3/13 = 0. Calculate z.
-3, 0
Factor 6*h**4/7 - 564*h**3/7 + 13254*h**2/7.
6*h**2*(h - 47)**2/7
Determine d so that -2*d**2/11 - 34*d/11 + 36/11 = 0.
-18, 1
Factor 2*o**2 - 64*o + 512.
2*(o - 16)**2
Find a such that 18*a**3 - 1390*a**2 + 308*a = 0.
0, 2/9, 77
Find f, given that f**5/4 - 3*f**4/2 + 5*f**3/4 + 4*f**2 - 3*f - 4 = 0.
-1, 2, 4
Suppose -2*z**5/15 - 4*z**4/15 + 14*z**3/15 - 8*z**2/15 = 0. What is z?
-4, 0, 1
Factor 3*v**4/8 - 3*v**3/8 - 3*v**2/4.
3*v**2*(v - 2)*(v + 1)/8
Factor -12*l**4 + 44*l**3 - 32*l**2 - 16*l.
-4*l*(l - 2)**2*(3*l + 1)
What is c in -2*c**2/17 + 228*c/17 - 6498/17 = 0?
57
Find a such that a**3 + 2*a**2 + a = 0.
-1, 0
Determine s, given that -25*s**5 + 840*s**4 - 1271*s**3 - 328*s**2 + 1296*s - 512 = 0.
-1, 4/5, 1, 32
Find v such that -2*v**2/13 + 1800/13 = 0.
-30, 30
Solve -2*r**5/7 - 128*r**4/7 + 396*r**3/7 - 400*r**2/7 + 134*r/7 = 0.
-67, 0, 1
Solve -20*z**3 + 46*z**2/3 + 14*z/3 = 0.
-7/30, 0, 1
Factor -3*h**2/4 + 3*h/2 - 3/4.
-3*(h - 1)**2/4
Suppose 2*i**4/7 + 34*i**3/7 - 26*i**2/7 - 418*i/7 + 408/7 = 0. Calculate i.
-17, -4, 1, 3
Solve -2*u**4/7 + 12*u**3/7 - 10*u**2/7 = 0.
0, 1, 5
Suppose -t**3/6 - 23*t**2/6 - 80*t/3 - 50 = 0. Calculate t.
-10, -3
Let -5*o**3 - 415*o**2 - 815*o - 405 = 0. Calculate o.
-81, -1
Find m such that -2*m**4/11 - 52*m**3/11 = 0.
-26, 0
Determine k, given that -9*k**5/5 - 12*k**4 + 102*k**3/5 + 36*k**2/5 - 93*k/5 + 24/5 = 0.
-8, -1, 1/3, 1
Factor 3*q**4 - 126*q**3 + 1947*q**2 - 13104*q + 32448.
3*(q - 13)**2*(q - 8)**2
Suppose 2*t**5 + 94*t**4 + 1214*t**3 + 2122*t**2 - 8272*t + 4840 = 0. What is t?
-22, -5, 1
Suppose -3*h**2 - 33*h - 54 = 0. Calculate h.
-9, -2
Factor -5*s**2/4 - 67*s/4 + 21/2.
-(s + 14)*(5*s - 3)/4
Factor v**5 + 18*v**4 + 80*v**3 - 18*v**2 - 81*v.
v*(v - 1)*(v + 1)*(v + 9)**2
Suppose 4*k**3/5 - 328*k**2/5 + 324*k/5 = 0. Calculate k.
0, 1, 81
Solve w**2/6 + 3*w/2 + 3 = 0 for w.
-6, -3
Factor -3*z**3 + 39*z**2 + 42*z.
-3*z*(z - 14)*(z + 1)
What is k in -2*k**5 + 30*k**3 - 20*k**2 - 48*k = 0?
-4, -1, 0, 2, 3
Factor 4*y**4 + 36*y**3 - 252*y**2 + 380*y - 168.
4*(y - 3)*(y - 1)**2*(y + 14)
Factor -5*d**3 - 10*d**2 + 195*d - 360.
-5*(d - 3)**2*(d + 8)
Let -5*u**5 - 65*u**4 - 195*u**3 - 115*u**2 + 200*u + 180 = 0. What is u?
-9, -2, -1, 1
Suppose -16*t**3 + 20612*t**2 - 6640928*t + 1658944 = 0. What is t?
1/4, 644
Factor -r**5 - 9*r**4 - 15*r**3 + 25*r**2.
-r**2*(r - 1)*(r + 5)**2
Suppose 2*i**5/5 + 2*i**4 - 14*i**3/5 - 82*i**2/5 - 12*i = 0. Calculate i.
-5, -2, -1, 0, 3
Find r such that -2*r**3/9 + 52*r**2/3 + 320*r/9 = 0.
-2, 0, 80
Find g such that g**4/7 + 46*g**3/7 + 45*g**2/7 = 0.
-45, -1, 0
Factor -m**2 - 93*m.
-m*(m + 93)
Find t, given that -2*t**5/11 - 24*t**4/11 - 20*t**3/11 + 24*t**2/11 + 2*t = 0.
-11, -1, 0, 1
Factor 4*t**2/7 + 2728*t/7 + 465124/7.
4*(t + 341)**2/7
Factor 3*w**2 + 174*w - 177.
3*(w - 1)*(w + 59)
Factor -3*l**2 + 135*l + 138.
-3*(l - 46)*(l + 1)
Solve -3*d**5 + 3*d**4 + 99*d**3 + 177*d**2 + 84*d = 0.
-4, -1, 0, 7
Let -8*i**2 - 460*i + 708 = 0. Calculate i.
-59, 3/2
Factor 4*j**2 + 12616*j + 9947716.
4*(j + 1577)**2
Suppose -f**5 - f**4 + f**3 + f**2 = 0. Calculate f.
-1, 0, 1
Solve -3*c**3 - 474*c**2/5 - 1833*c/5 + 162 = 0 for c.
-27, -5, 2/5
Find n such that 5*n**3 - 725*n**2 - 730*n = 0.
-1, 0, 146
Find m such that -m**3/2 + 1227*m**2/2 - 501843*m/2 + 68417929/2 = 0.
409
Determine v so that -4*v**2 + 832*v - 828 = 0.
1, 207
Factor -o**3/4 - 7*o**2/4 + 21*o/2 + 54.
-(o - 6)*(o + 4)*(o + 9)/4
Factor -3*v**4 + 84*v**3 - 159*v**2 + 78*v.
-3*v*(v - 26)*(v - 1)**2
Find a, given that -a**4/7 + 16*a**3/7 - 74*a**2/7 + 8*a + 21 = 0.
-1, 3, 7
Solve 2*a**4 + 2496*a**3 + 776250*a**2 - 1562500*a = 0 for a.
-625, 0, 2
Let 4*v**3 + 36*v**2 - 64*v - 240 = 0. Calculate v.
-10, -2, 3
Factor 5*y**3 - 5*y**2 - 150*y.
5*y*(y - 6)*(y + 5)
Let 5*u**4 - 70*u**3 - 100*u**2 + 390*u - 225 = 0. Calculate u.
-3, 1, 15
Solve 15*i**4 - 320*i**3 - 565*i**2 - 230*i = 0 for i.
-1, -2/3, 0, 23
Factor -8*v**2 + 440*v/3 - 6050/9.
-2*(6*v - 55)**2/9
Solve 8*j**3/9 + 18*j**2 + 280*j/3 + 200/9 = 0 for j.
-10, -1/4
Factor -o**2 - 234*o - 13689.
-(o + 117)**2
Find w such that -77*w**2/2 + 26*w + 6 = 0.
-2/11, 6/7
Solve 4*v**5 + 184*v**4 + 2424*v**3 + 1088*v**2 - 119068*v - 117912 = 0 for v.
-17, -1, 6
Determine j, given that j**5/4 + 509*j**4/2 + 1013*j**3/4 - 1018*j**2 - 1017*j = 0.
-1017, -2, -1, 0, 2
Find g, given that 3*g**5 - 27*g**4 - 21*g**3 + 291*g**2 + 522*g + 240 = 0.
-2, -1, 5, 8
Factor -o**2/9 + 11*o/9 + 4/3.
-(o - 12)*(o + 1)/9
Solve -p**2/2 - 658*p - 216482 = 0 for p.
-658
Suppose l**2 - 2*l - 15 = 0. Calculate l.
-3, 5
Let -2*l**5/9 - 10*l**4/9 + 10*l**3/3 + 10*l**2/9 - 28*l/9 = 0. What is l?
-7, -1, 0, 1, 2
Factor -6*y**3 + 27*y**2 + 159*y - 378.
-3*(y - 7)*(y - 2)*(2*y + 9)
Suppose 2*q**2/7 + 120*q/7 = 0. Calculate q.
-60, 0
What is f in 2*f**4/9 - 22*f**3/9 + 58*f**2/9 + 70*f/9 - 100/3 = 0?
-2, 3, 5
Factor 696*x**2 - 1388*x - 8.
4*(x - 2)*(174*x + 1)
Solve -2*l**2/5 + 712*l/5 + 1432/5 = 0.
-2, 358
Find z, given that 3*z**4/2 - 39*z**3 + 315*z**2/2 + 1350*z = 0.
-4, 0, 15
Suppose 2*f**4/5 + 116*f**3/5 + 744*f**2/5 + 1548*f/5 + 918/5 = 0. What is f?
-51, -3, -1
Suppose 3*n**2 + 6159*n = 0. Calculate n.
-2053, 0
Factor -l**2/3 - 122*l/3 + 168.
-(l - 4)*(l + 126)/3
Factor -2*l**3/5 - 10*l**2 - 208*l/5 - 32.
-2*(l + 1)*(l + 4)*(l + 20)/5
Factor 50*y**2/9 - 254*y/9 + 104/3.
2*(y - 3)*(25*y - 52)/9
Factor 2*z**4/11 - 24*z**3/11 + 58*z**2/11 - 36*z/11.
2*z*(z - 9)*(z - 2)*(z - 1)/11
Factor 16*x**3 - 828*x**2 - 3792*x - 896.
4*(x - 56)*(x + 4)*(4*x + 1)
Factor -x**4 - 73*x**3 - 1218*x**2 + 4180*x - 2888.
-(x - 2)*(x - 1)*(x + 38)**2
What is b in 2*b**3 + 138*b**2 + 766*b + 630 = 0?
-63, -5, -1
Factor 2*s**2/3 + 17*s + 25/3.
(s + 25)*(2*s + 1)/3
Let 35*o**3 - 10*o**2 - 35*o + 10 = 0. What is o?
-1, 2/7, 1
Suppose -2*p**2/7 + 12640*p/7 - 12638/7 = 0. Calculate p.
1, 6319
Factor g**4 + 52*g**3 + 622*g**2 - 1404*g + 729.
(g - 1)**2*(g + 27)**2
Determine u, given that 5*u**4 - 15*u**3 + 10*u**2 = 0.
0, 1, 2
Determine o, given that 4*o**3 - 64*o**2 + 256*o = 0.
0, 8
Let -2*x**5/5 + 2*x**4 - 6*x**3/5 - 2*x**2 + 8*x/5 = 0. What is x?
-1, 0, 1, 4
Factor h**2/4 - 13*h + 169.
(h - 26)**2/4
Factor w**4/9 + 70*w**3/9 + 44*w**2 + 776*w/9 + 512/9.
(w + 2)**3*(w + 64)/9
Suppose -3*r**3 + 120*r**2 - 1071*r - 2646 = 0. What is r?
-2, 21
Factor h**3/3 - 19*h**2/3 + 80*h/3 + 100/3.
(h - 10)**2*(h + 1)/3
Factor 2*i**5/9 - 224*i**4/9 - 2390*i**3/9 - 6100*i**2/9.
2*i**2*(i - 122)*(i + 5)**2/9
Factor 21*o**3 - 6747*o**2 + 1926*o.
3*o*(o - 321)*(7*o - 2)
Determine x, given that 4*x**2/3 - 1660*x + 4976/3 = 0.
1, 1244
Find n such that -2*n**4/3 + 2*n**3 + 4*n**2/3 - 8*n + 16/3 = 0.
-2, 1, 2
Factor 13*a**3/3 - 55*a**2/3 + 64*a/3 - 4.
(a - 2)**2*(13*a - 3)/3
Factor -5*l**2 - 80*l - 75.
-5*(l + 1)*(l + 15)
Solve 2*b**3/9 + 220*b**2/9 + 434*b/9 + 24 = 0 for b.
-108, -1
Factor -4*n**5 + 784*n**4 - 54976*n**3 + 1601280*n**2 - 16588800*n + 55296000.
-4*(n - 60)**3*(n - 8)**2
Suppose a**2/2 - a - 12 = 0. Calculate a.
-4, 6
Factor 3*b**4/4 + 15*b**3/4 - 117*b**2/2 + 54*b.
3*b*(b - 6)*(b - 1)*(b + 12)/4
Factor 3*n**5 - 11*n**4 - 58*n**3 - 78*n**2 - 41*n - 7.
(n - 7)*(n + 1)**3*(3*n + 1)
Factor -2*p**2/9 + 24*p - 648.
-2*(p - 5