9*a**2 - 55*a + 363 = 0.
-11, 3
Let -5*i**2 - 60*i - 160 = 0. Calculate i.
-8, -4
Factor -2*p**2/9 + 76*p/9 - 70/3.
-2*(p - 35)*(p - 3)/9
Let 9*l**3 - 15*l**2 + 6*l = 0. What is l?
0, 2/3, 1
Factor v**2/5 - 124*v/5 + 123/5.
(v - 123)*(v - 1)/5
Let 2*v**4/7 - 104*v**2/7 + 192*v/7 = 0. Calculate v.
-8, 0, 2, 6
Find m, given that 2*m**5/5 + 208*m**4/5 + 612*m**3/5 + 608*m**2/5 + 202*m/5 = 0.
-101, -1, 0
Determine h so that 5*h**2 + 160*h + 1280 = 0.
-16
Factor 3*y**3 + 24*y**2 - 3*y - 24.
3*(y - 1)*(y + 1)*(y + 8)
Let -6*z**3 - 352*z**2 - 5278*z - 3364 = 0. What is z?
-29, -2/3
Determine y so that -y**4/4 - 2*y**3 - 9*y**2/2 - 4*y - 5/4 = 0.
-5, -1
Factor f**4/2 + 14*f**3 + 45*f**2 - 782*f + 1445/2.
(f - 5)*(f - 1)*(f + 17)**2/2
Factor -l**4/3 - 18*l**3 - 144*l**2 + 5760*l + 82944.
-(l - 18)*(l + 24)**3/3
Factor -2*g**3/15 + 2*g**2/15 + 22*g/5 + 42/5.
-2*(g - 7)*(g + 3)**2/15
Suppose 3*b**4/5 - 33*b**3/5 + 132*b**2/5 - 228*b/5 + 144/5 = 0. What is b?
2, 3, 4
Let x**5/2 - x**4/4 - 5*x**3/4 + x**2/4 + 3*x/4 = 0. What is x?
-1, 0, 1, 3/2
Factor k**2/3 + 14*k/3 + 8.
(k + 2)*(k + 12)/3
Let -10*h**5/11 - 54*h**4/11 + 1130*h**3/11 + 1710*h**2/11 - 1840*h/11 - 936/11 = 0. What is h?
-13, -2, -2/5, 1, 9
Factor 2*n**4/3 - 7*n**3/3 - 46*n**2/3 - 7*n.
n*(n - 7)*(n + 3)*(2*n + 1)/3
Determine d, given that 20*d**2 + 284*d + 56 = 0.
-14, -1/5
Let -l**4 - 42*l**3 - 36*l**2 + 202*l - 123 = 0. What is l?
-41, -3, 1
Factor -3*h**3 - 27*h**2 - 42*h.
-3*h*(h + 2)*(h + 7)
Let -2*k**5 - 8*k**4 - 6*k**3 = 0. Calculate k.
-3, -1, 0
Factor -4*c**4 + 788*c**3 + 4*c**2 - 788*c.
-4*c*(c - 197)*(c - 1)*(c + 1)
Factor -5445*w**3 - 48675*w**2 + 2965*w - 45.
-5*(w + 9)*(33*w - 1)**2
Let -20*o**3 + 370*o**2 - 2085*o/4 + 765/4 = 0. What is o?
3/4, 17
Factor -4*r**4 + 128*r**3 - 1076*r**2 + 952*r.
-4*r*(r - 17)*(r - 14)*(r - 1)
Find k such that -k**4/2 + 216*k**3 - 23756*k**2 + 92448*k - 91592 = 0.
2, 214
Solve -g**3/6 + 7*g**2 + 235*g/6 = 0.
-5, 0, 47
Solve -3*n**2 + 60*n = 0 for n.
0, 20
Factor 2*p**2/9 - 58*p/9 - 20/3.
2*(p - 30)*(p + 1)/9
Factor -w**2/2 + 19*w/2 + 21.
-(w - 21)*(w + 2)/2
Factor -o**3 - 128*o**2/5 + 187*o/5 - 54/5.
-(o - 1)*(o + 27)*(5*o - 2)/5
Factor 4*n**4 + 36*n**3 - 16*n**2 - 144*n.
4*n*(n - 2)*(n + 2)*(n + 9)
Find t such that -t**5/3 - 37*t**4/3 + 54*t**3 - 86*t**2/3 - 161*t/3 + 41 = 0.
-41, -1, 1, 3
Suppose 15*d**5 - 39*d**4 - 93*d**3 + 15*d**2 + 78*d + 24 = 0. Calculate d.
-1, -2/5, 1, 4
Determine n so that n**3 + 10*n**2 - 43*n - 52 = 0.
-13, -1, 4
Determine o, given that -140*o**2/3 - 332*o - 112/3 = 0.
-7, -4/35
What is s in -5*s**3 - 110*s**2 - 295*s - 190 = 0?
-19, -2, -1
Factor -u**2/3 - 8*u - 80/3.
-(u + 4)*(u + 20)/3
Solve -h**3/3 - 3637*h**2 - 9922645*h - 29757025/3 = 0 for h.
-5455, -1
Find v, given that 5*v**2 + 85*v + 150 = 0.
-15, -2
Find r such that 105*r**5 - 200*r**4 - 4115*r**3 + 3810*r**2 + 42400*r + 4000 = 0.
-4, -2/21, 5
Factor -2*x**3/3 + 236*x**2/3 + 478*x/3 + 80.
-2*(x - 120)*(x + 1)**2/3
Determine u so that u**5/10 + 9*u**4/10 - u**3/5 - 9*u**2/5 + u/10 + 9/10 = 0.
-9, -1, 1
Suppose 15*m**5 + 20*m**4 - 100*m**3 - 230*m**2 - 155*m - 30 = 0. Calculate m.
-2, -1, -1/3, 3
Solve -2*m**4/13 - 30*m**3/13 - 114*m**2/13 - 34*m/13 + 180/13 = 0 for m.
-9, -5, -2, 1
Factor -3*j**4 + 1716*j**3 - 3420*j**2.
-3*j**2*(j - 570)*(j - 2)
Find p such that -35*p**5/3 + 920*p**4/3 - 6140*p**3/3 + 770*p**2/3 + 6175*p/3 - 1690/3 = 0.
-1, 2/7, 1, 13
Suppose 2*z**4 + 16*z**3 - 86*z**2 + 116*z - 48 = 0. What is z?
-12, 1, 2
Factor 5*o**4 + 25*o**3 - 5*o**2 - 25*o.
5*o*(o - 1)*(o + 1)*(o + 5)
Suppose 3*l**5/4 - 15*l**4/4 + 9*l**3/2 + 3*l**2/2 - 21*l/4 + 9/4 = 0. Calculate l.
-1, 1, 3
Solve -a**2/6 - 31*a/6 + 16/3 = 0 for a.
-32, 1
Factor 3*y**3 - 96*y**2.
3*y**2*(y - 32)
Determine s, given that -2662*s**3 + 4356*s**2 - 2376*s + 432 = 0.
6/11
Solve -3*g**3/2 - 2115*g**2 + 8469*g/2 - 2118 = 0.
-1412, 1
Factor 2*a**2/9 - 2672*a/3 + 892448.
2*(a - 2004)**2/9
Factor -2*q**2 + 4*q + 6.
-2*(q - 3)*(q + 1)
Find h such that -2*h**5 - 226*h**4 - 3644*h**3 + 149828*h**2 - 1227842*h + 3079454 = 0.
-67, 7
Factor -d**2/3 - 5*d + 34/3.
-(d - 2)*(d + 17)/3
Suppose -16*q**3 + 212*q**2 - 628*q + 144 = 0. What is q?
1/4, 4, 9
Factor -4*j**5 + 16*j**4 + 56*j**3 - 288*j**2 + 108*j + 432.
-4*(j - 3)**3*(j + 1)*(j + 4)
Factor -6*p**4 - 356*p**3 - 5160*p**2 + 3600*p.
-2*p*(p + 30)**2*(3*p - 2)
Factor 5*f**2/2 - 25*f/2.
5*f*(f - 5)/2
Determine x so that -5*x**3 - 328*x**2 + 467*x - 134 = 0.
-67, 2/5, 1
Factor -3*i**3/5 - 6*i**2/5 + 9*i/5.
-3*i*(i - 1)*(i + 3)/5
Factor 4*f**3 + 224*f**2 - 700*f + 472.
4*(f - 2)*(f - 1)*(f + 59)
Suppose 2*a**4/11 + 2852*a**3/11 + 1353744*a**2/11 + 212981440*a/11 - 431400704/11 = 0. What is a?
-476, 2
What is k in -5*k**3 - 26145*k**2 - 45570735*k - 26476597035 = 0?
-1743
Factor -5*g**3 - 440*g**2 - 1680*g.
-5*g*(g + 4)*(g + 84)
Factor -5*x**4 + 315*x**3 + 320*x**2.
-5*x**2*(x - 64)*(x + 1)
Factor 5*c**4 + 255*c**3 - 1155*c**2 - 3055*c - 1650.
5*(c - 6)*(c + 1)**2*(c + 55)
Suppose 4*m**5 - 152*m**4 + 500*m**3 + 1472*m**2 + 816*m = 0. Calculate m.
-1, 0, 6, 34
Determine f so that -5*f**5 + 770*f**4 + 1575*f**3 - 2320*f**2 - 3140*f + 3120 = 0.
-2, 1, 156
Solve -g**3 + 32*g**2 + 420*g = 0.
-10, 0, 42
Let 2*c**4/13 - 10520*c**3/13 + 18438048*c**2/13 - 10755499936*c/13 - 21584836256/13 = 0. Calculate c.
-2, 1754
Suppose 3*q**5 - 315*q**4 - 324*q**3 + 636*q**2 = 0. Calculate q.
-2, 0, 1, 106
Let 5*u**4 + 10*u**3 + 5*u**2 = 0. Calculate u.
-1, 0
Factor -2*w**3 + 10*w**2 - 4*w - 16.
-2*(w - 4)*(w - 2)*(w + 1)
Factor -2*f**2 + 26*f.
-2*f*(f - 13)
Find a such that 3*a**5/5 + 6*a**4/5 - 3*a**3 - 18*a**2/5 = 0.
-3, -1, 0, 2
Solve 12*k**4 + 3*k**3 - 12*k**2 - 3*k = 0 for k.
-1, -1/4, 0, 1
Factor -5*i**3/4 - 3385*i**2/4 + 850*i + 1695.
-5*(i - 2)*(i + 1)*(i + 678)/4
Factor 4*u**2 - 296*u + 5476.
4*(u - 37)**2
Factor 8*o**2 + 146*o + 36.
2*(o + 18)*(4*o + 1)
Suppose 3*x**2/7 + 93*x/7 - 96/7 = 0. What is x?
-32, 1
Factor 44*m**2 - 184*m + 192.
4*(m - 2)*(11*m - 24)
Suppose c**3/3 + 6*c**2 + 17*c/3 = 0. Calculate c.
-17, -1, 0
Factor 4*i**3 - 3572*i**2 + 3560*i + 7136.
4*(i - 892)*(i - 2)*(i + 1)
Let -b**3 - 565*b**2 + 1134*b = 0. Calculate b.
-567, 0, 2
Determine t, given that 56*t**5/5 + 198*t**4/5 + 262*t**3/5 + 158*t**2/5 + 42*t/5 + 4/5 = 0.
-1, -2/7, -1/4
Factor 4*w**2/5 - 24*w/5.
4*w*(w - 6)/5
Let 2*m**2/3 - 716*m/3 - 718/3 = 0. What is m?
-1, 359
Let -v**2/4 - 3*v/4 + 1 = 0. Calculate v.
-4, 1
Let -2*n**4/5 - 112*n**3/5 - 588*n**2/5 + 5488*n - 24010 = 0. What is n?
-35, 7
Suppose 4*h**5/9 + 8*h**4/3 - 68*h**3/9 - 8*h**2/3 + 64*h/9 = 0. What is h?
-8, -1, 0, 1, 2
Factor -35*j**3 - 115*j**2 - 30*j.
-5*j*(j + 3)*(7*j + 2)
What is s in 130*s**2/3 - 254*s/3 - 4 = 0?
-3/65, 2
Factor -6*z**3/11 - 18*z**2/11 - 18*z/11 - 6/11.
-6*(z + 1)**3/11
Factor 5*w**4 + 400*w**3 + 12000*w**2 + 160000*w + 800000.
5*(w + 20)**4
Factor -2*w**5 + 56*w**4 - 408*w**3 + 908*w**2 - 806*w + 252.
-2*(w - 18)*(w - 7)*(w - 1)**3
Factor -c**2/5 + 174*c/5 - 173/5.
-(c - 173)*(c - 1)/5
Factor -2*a**3 - 184*a**2 + 768*a.
-2*a*(a - 4)*(a + 96)
Factor -2*d**3 + 192*d**2/7 + 8*d.
-2*d*(d - 14)*(7*d + 2)/7
Let -2*c**5/7 + 60*c**4/7 - 14*c**3 - 384*c**2/7 - 32*c = 0. Calculate c.
-1, 0, 4, 28
Factor 2*b**5 - 164*b**4 - 1216*b**3 - 2644*b**2 - 2306*b - 712.
2*(b - 89)*(b + 1)**3*(b + 4)
Determine o, given that -o**3/6 + 13*o**2/3 + 589*o/6 + 533/3 = 0.
-13, -2, 41
Factor 4*w**2 - 4*w - 288.
4*(w - 9)*(w + 8)
Factor -2*m**2/5 - 1988*m/5 - 5946/5.
-2*(m + 3)*(m + 991)/5
Factor -h**3/3 - 287*h**2/3 - 19856*h/3 + 106580/3.
-(h - 5)*(h + 146)**2/3
Solve -m**2 + 18*m = 0.
0, 18
Suppose -g**3/4 + 27*g**2/4 - 25*g/2 = 0. Calculate g.
0, 2, 25
Factor 3*v**3 - 90*v**2 - 93*v.
3*v*(v - 31)*(v + 1)
Factor 2*r**3 - 135*r**2/2 - 17*r.
r*(r - 34)*(4*r + 1)/2
Find w, given that -5*w**4 - 40*w**3 + 310*w**2 + 3360*w + 6615 = 0.
-7, -3, 9
Solve a**2 - 167*a + 166 = 0 for a.
1, 166
Factor 4*q**2 + 736*q + 33856.
4*(q + 92)**2
Factor 3*r**4/2 - 21*r**3/2 + 6*r**2 + 18*r.
3*r*(r - 6)*(r - 2)*(r + 1)/2
Factor -f**2 + 1744*f - 760384.
-(f - 872)**2
Determine a so that 3*a**5/2 - 549*a**4 - 2205*a**3/2 - 552*a**2 = 0.
-1, 0, 368
What is z in -2*z**4 + 4*z**3 + 22*z**2 - 24*z = 0?
-3, 0, 1, 4
Factor 3*k**2 + 12*k - 15.
3*(k