y + 1)**2
Factor -2*x**2/5 + 6*x/5 + 4.
-2*(x - 5)*(x + 2)/5
Factor w**4 + 686*w**3 + 117648*w**2 - 686*w - 117649.
(w - 1)*(w + 1)*(w + 343)**2
Determine m so that m**4 - 18*m**3 + 31*m**2 + 18*m - 32 = 0.
-1, 1, 2, 16
Suppose -200*x**4 + 2120*x**3/3 - 3938*x**2/9 - 2968*x/9 - 392/9 = 0. What is x?
-7/30, 2
Factor 3*m**4 - 972*m**3 - 975*m**2.
3*m**2*(m - 325)*(m + 1)
Let -4*z**2 - 1212*z + 1216 = 0. Calculate z.
-304, 1
Suppose v**3/4 + 31*v**2/2 + 935*v/4 + 437/2 = 0. Calculate v.
-38, -23, -1
Suppose 3*q**4 + 30*q**3 - 201*q**2 + 348*q - 180 = 0. What is q?
-15, 1, 2
Factor x**5/5 - 22*x**4/5 + 121*x**3/5.
x**3*(x - 11)**2/5
Solve -3*y**5 - 744*y**4 - 44616*y**3 + 187488*y**2 - 190512*y = 0.
-126, 0, 2
Solve -o**2 + 2*o - 1 = 0 for o.
1
Find x such that -1458*x**4/11 - 12150*x**3/11 - 3942*x**2/11 - 434*x/11 - 16/11 = 0.
-8, -1/9
Suppose -o**3/4 + 2*o**2 - 17*o/4 + 5/2 = 0. What is o?
1, 2, 5
Let -4*i**5 + 12*i**4 + 12*i**3 - 44*i**2 + 24*i = 0. Calculate i.
-2, 0, 1, 3
Find u, given that 3*u**5/2 + 17*u**4/2 + 25*u**3/2 + 11*u**2/2 = 0.
-11/3, -1, 0
Let 2*x**2/21 + 8*x/7 - 8/3 = 0. What is x?
-14, 2
Factor 2*b**3/17 + 126*b**2 + 4278*b/17 + 2138/17.
2*(b + 1)**2*(b + 1069)/17
Factor -4*o**2 + 84*o - 360.
-4*(o - 15)*(o - 6)
Factor 18*n**3 - 276*n**2 - 190*n - 32.
2*(n - 16)*(3*n + 1)**2
Solve 12*r**5 + 33*r**4 + 30*r**3 + 9*r**2 = 0 for r.
-1, -3/4, 0
Find q, given that -10*q**5/9 - 58*q**4/9 - 98*q**3/9 - 38*q**2/9 + 4*q/3 = 0.
-3, -2, -1, 0, 1/5
Factor -3*l**2/4 - 6*l + 27/4.
-3*(l - 1)*(l + 9)/4
Solve -c**3/5 - 2051*c**2/5 = 0 for c.
-2051, 0
Suppose 2*t**2/5 + 218*t/5 + 216/5 = 0. Calculate t.
-108, -1
Solve 14*c**4/3 + 258*c**3 + 1718*c**2/3 + 390*c + 212/3 = 0 for c.
-53, -1, -2/7
Find x, given that -2*x**5/21 - 134*x**4/7 + 1630*x**3/21 - 682*x**2/7 + 820*x/21 = 0.
-205, 0, 1, 2
Factor 2*b**2 - 60*b + 250.
2*(b - 25)*(b - 5)
Factor i**4 - 2*i**3 - 735*i**2 + 8672*i - 7936.
(i - 16)**2*(i - 1)*(i + 31)
Let 65*x**3 + 120*x**2 - 20*x = 0. Calculate x.
-2, 0, 2/13
Find p such that -36*p**4 - 528*p**3 - 808*p**2 - 368*p - 52 = 0.
-13, -1, -1/3
Solve 3*y**5 - 150*y**4 - 153*y**3 = 0 for y.
-1, 0, 51
What is g in -8*g**3 + 18*g**2 - 12*g + 2 = 0?
1/4, 1
Find m such that -m**4/5 + 6*m**3/5 - 32*m/5 = 0.
-2, 0, 4
What is p in -3*p**3/7 + 4686*p**2/7 - 262080*p + 3650400/7 = 0?
2, 780
Solve 3*q**3 + 342*q**2 + 12996*q + 164616 = 0 for q.
-38
Factor -j**4/3 + 2*j**3 - 5*j**2/3 - 4*j.
-j*(j - 4)*(j - 3)*(j + 1)/3
Find x such that 4*x**3 - 20*x**2 - 52*x - 28 = 0.
-1, 7
Factor y**2/3 - 100/3.
(y - 10)*(y + 10)/3
Factor -4*y**3 + 44*y**2 - 156*y + 180.
-4*(y - 5)*(y - 3)**2
Factor 2*w**4/11 + 14*w**3/11 + 20*w**2/11.
2*w**2*(w + 2)*(w + 5)/11
Find t such that 5*t**4 - 30*t**2 + 40*t - 15 = 0.
-3, 1
Find u, given that -3*u**5 - 39*u**4/5 + 153*u**3/5 + 351*u**2/5 - 162*u/5 = 0.
-3, 0, 2/5, 3
Determine u so that -9*u**3 - 210*u**2 + 369*u - 150 = 0.
-25, 2/3, 1
Solve -3*a**4 - 3*a**3 + 60*a**2 = 0.
-5, 0, 4
Factor 3*h**3/5 + 129*h**2/5 + 108*h/5 - 756/5.
3*(h - 2)*(h + 3)*(h + 42)/5
Factor -2*s**2/11 - 48*s/11 - 46/11.
-2*(s + 1)*(s + 23)/11
Solve -a**4 - 17*a**3 + 126*a**2 - 268*a + 184 = 0 for a.
-23, 2
Suppose -9*w**4 + 49*w**3 + 281*w**2/3 + 31*w - 14/3 = 0. What is w?
-1, -2/3, 1/9, 7
Factor -2*k**2 - 430*k - 428.
-2*(k + 1)*(k + 214)
Let z**3 + 68*z**2 + 133*z + 66 = 0. Calculate z.
-66, -1
Find h, given that -h**2/2 - 3*h/2 + 9 = 0.
-6, 3
Find a such that -a**5/2 - a**4/2 + 7*a**3 + 14*a**2 - 4*a - 16 = 0.
-2, 1, 4
Solve 3*k**2 + 501*k - 504 = 0 for k.
-168, 1
Factor -3*i**2/2 - 687*i/2 - 1017.
-3*(i + 3)*(i + 226)/2
Factor g**2 + 40*g + 400.
(g + 20)**2
Determine u, given that -4*u**4 + 8*u**3 + 244*u**2 - 1208*u + 1440 = 0.
-9, 2, 4, 5
Factor -75*m**3 + 20*m**2 + 300*m - 80.
-5*(m - 2)*(m + 2)*(15*m - 4)
Factor -r**3/3 + 4*r**2 - 23*r/3 - 12.
-(r - 9)*(r - 4)*(r + 1)/3
Factor -2*x**4/5 + 1594*x**3/5 - 84906*x**2 + 7612390*x - 14887700.
-2*(x - 265)**3*(x - 2)/5
Solve -2*p**3 - 32*p**2 - 128*p = 0.
-8, 0
Let -4*x**2/7 + 6248*x/7 - 2439844/7 = 0. Calculate x.
781
Factor 2*t**4 + 42*t**3 - 838*t**2 + 1542*t - 748.
2*(t - 11)*(t - 1)**2*(t + 34)
Find x, given that 3*x**3 + 195*x**2 + 2376*x - 27216 = 0.
-36, 7
Suppose -3*z**3/4 + 3*z**2 + 33*z/4 - 45/2 = 0. What is z?
-3, 2, 5
Solve -6*s**4 - 3722*s**3/5 - 718*s**2/15 + 646*s/3 + 248/5 = 0 for s.
-124, -1/3, 3/5
Let d**3 + 31*d**2 + 136*d + 156 = 0. What is d?
-26, -3, -2
Let -100*f**5 + 620*f**4 - 256*f**3 - 2128*f**2 - 1408*f - 256 = 0. Calculate f.
-1, -2/5, 4
Factor 3*z**4 + 123*z**3 + 558*z**2 + 648*z.
3*z*(z + 2)*(z + 3)*(z + 36)
Factor m**4/5 + 9*m**3/5 - m**2/5 - 9*m/5.
m*(m - 1)*(m + 1)*(m + 9)/5
Factor -d**2/7 - 152*d/7 - 1420/7.
-(d + 10)*(d + 142)/7
Factor 8*i**2 - 222*i/5 - 58/5.
2*(4*i + 1)*(5*i - 29)/5
Solve -5*d**3 - 20*d**2 - 5*d + 30 = 0.
-3, -2, 1
Let 2*v**3/17 + 4*v**2/17 + 2*v/17 = 0. What is v?
-1, 0
Factor -2*u**3 - 11*u**2/3 + 2*u/3.
-u*(u + 2)*(6*u - 1)/3
Factor 2*h**5/9 - 598*h**4/9 + 59996*h**3/9 - 228756*h**2 + 437778*h - 215622.
2*(h - 99)**3*(h - 1)**2/9
Factor -5*d**2/2 - 3838*d - 1535/2.
-(d + 1535)*(5*d + 1)/2
Solve -2*x**4/3 - 4*x**3/3 - 2*x**2/3 = 0 for x.
-1, 0
What is n in 180*n**4 - 576*n**3 - 560*n**2 - 64*n = 0?
-2/3, -2/15, 0, 4
Factor -b**2/5 - 199*b/5 - 198/5.
-(b + 1)*(b + 198)/5
Factor 3*k**3 - 27*k**2 + 45*k + 75.
3*(k - 5)**2*(k + 1)
Solve 2*j**3 - 66*j**2 + 240*j - 232 = 0 for j.
2, 29
Determine u so that -2*u**4/5 + 72*u**3/5 + 406*u**2/5 + 36*u - 656/5 = 0.
-4, -2, 1, 41
Factor 2*g**2/5 + 38*g/5 - 8.
2*(g - 1)*(g + 20)/5
Determine v so that v**3/4 - 7*v**2/2 + 9*v/4 + 81 = 0.
-4, 9
Suppose x**5 - 16*x**4/3 + x**3 + 46*x**2/3 + 8*x = 0. Calculate x.
-1, -2/3, 0, 3, 4
Let 14*h**5 + 158*h**4 - 418*h**3 - 1462*h**2 - 1108*h - 208 = 0. What is h?
-13, -1, -2/7, 4
Solve -5*u**2 - 1965*u = 0.
-393, 0
Factor w**5/7 - 4*w**4/7 + 4*w**3/7 + 2*w**2/7 - 5*w/7 + 2/7.
(w - 2)*(w - 1)**3*(w + 1)/7
Solve -5*b**2 - 7955*b + 7960 = 0.
-1592, 1
Factor 3*i**3/7 + 30*i**2/7 + 81*i/7 + 54/7.
3*(i + 1)*(i + 3)*(i + 6)/7
Factor -2*h**3/11 - 6*h**2 + 548*h/11 - 480/11.
-2*(h - 6)*(h - 1)*(h + 40)/11
Factor 4*z**2 - 496*z - 1008.
4*(z - 126)*(z + 2)
Factor -3*s**3 + 96*s**2/7 - 111*s/7 + 36/7.
-3*(s - 3)*(s - 1)*(7*s - 4)/7
Factor 4*n**2 - 20*n.
4*n*(n - 5)
Factor 3*h**3 + 30*h**2 + 39*h - 72.
3*(h - 1)*(h + 3)*(h + 8)
Suppose -b**4/2 + 5*b**3 + 11*b**2/2 = 0. Calculate b.
-1, 0, 11
Factor o**2/10 - 7*o/2.
o*(o - 35)/10
Determine k, given that -3*k**3/4 - 203*k**2/4 - 133*k/4 + 67/4 = 0.
-67, -1, 1/3
Factor -3*z**4 + 48*z**3 - 177*z**2 + 132*z.
-3*z*(z - 11)*(z - 4)*(z - 1)
Factor 4*q**2 + 9616*q + 5779216.
4*(q + 1202)**2
What is t in -45*t**5 - 120*t**4 - 20*t**3 + 110*t**2 + 65*t + 10 = 0?
-2, -1, -1/3, 1
Solve -a**5/4 + 3*a**4/4 + 7*a**3/4 - 11*a**2/4 - 3*a/2 + 2 = 0 for a.
-2, -1, 1, 4
Let v**2/12 - 82*v/3 + 325/4 = 0. Calculate v.
3, 325
Factor 4*t**3 + 296*t**2 - 3984*t + 12384.
4*(t - 6)**2*(t + 86)
Let -4*c**2/3 - 56*c - 588 = 0. What is c?
-21
Find c such that -4*c**2 + 104*c + 480 = 0.
-4, 30
Let -4*y**5 - 13*y**4 + 5*y**3 + 50*y**2 + 44*y + 8 = 0. What is y?
-2, -1, -1/4, 2
Suppose -2*u**4 + 15*u**3/2 - 8*u**2 + 3*u/2 + 1 = 0. What is u?
-1/4, 1, 2
Determine v so that 3*v**4/7 + 123*v**3/7 - 3*v**2/7 - 123*v/7 = 0.
-41, -1, 0, 1
Find n such that -2*n**4 - 230*n**3 - 894*n**2 - 666*n = 0.
-111, -3, -1, 0
Determine p so that p**4/7 + 60*p**3/7 - 69*p**2/7 - 68*p + 732/7 = 0.
-61, -3, 2
Determine b, given that -5*b**3 - 5435*b**2 - 10855*b - 5425 = 0.
-1085, -1
Factor -g**5 + g**4 + 24*g**3 + 36*g**2.
-g**2*(g - 6)*(g + 2)*(g + 3)
Let -p**4/3 - 52*p**3/3 - 667*p**2/3 + 156*p + 2028 = 0. What is p?
-26, -3, 3
Suppose 3*o**5 + 24*o**4 + 63*o**3 + 54*o**2 = 0. What is o?
-3, -2, 0
Find y, given that -3*y**5/5 + 114*y**4/5 - 216*y**3 - 114*y**2/5 + 1083*y/5 = 0.
-1, 0, 1, 19
Solve 3*h**3 - 1002*h**2 + 993*h + 1998 = 0.
-1, 2, 333
Solve 5*x**3 + 12510*x**2 + 25005*x + 12500 = 0.
-2500, -1
Factor 2*d**3 + 272*d**2 + 9248*d.
2*d*(d + 68)**2
Factor -k**3/4 - 10*k**2 - 113*k/4 - 37/2.
-(k + 1)*(k + 2)*(k + 37)/4
Find w such that -18*w**5 + 33*w**4 + 24*w**3 - 33*w**2 - 6*w = 0.
-1, -1/6, 0, 1, 2
Factor -y**3 - 37*y**2/7 - 5*y/7 + 25/7.
-(y + 1)*(y + 5)*(7*y - 5)/7