- 3*u**2 - 4*u + 4/3 = 0.
-1, 2/7, 2
Factor -5*k**3 - 40*k**2 + 95*k - 50.
-5*(k - 1)**2*(k + 10)
Suppose w**4 - 16*w**3 + 45*w**2 + 162*w = 0. What is w?
-2, 0, 9
Let -5*s**3/6 - 25*s**2/6 + 35*s/3 = 0. Calculate s.
-7, 0, 2
Solve 4*t**2 + 716*t - 720 = 0 for t.
-180, 1
Factor f**3 - 3*f**2 + 4.
(f - 2)**2*(f + 1)
What is g in 40*g**4 + 28*g**3 - 52*g**2 - 28*g + 12 = 0?
-1, 3/10, 1
Factor 3*d**2 + 414*d.
3*d*(d + 138)
Factor 15*c**4/4 + 27*c**3/2 + 9*c**2 - 6*c.
3*c*(c + 2)**2*(5*c - 2)/4
Factor -j**3/3 - 40*j**2/3 - 400*j/3.
-j*(j + 20)**2/3
Find w such that 2*w**2 - 276*w + 9522 = 0.
69
Factor 2*y**5 + 148*y**4 + 146*y**3.
2*y**3*(y + 1)*(y + 73)
Factor -28*a**2 + 116*a - 88.
-4*(a - 1)*(7*a - 22)
Factor 15*c**3 + 111*c**2 + 132*c + 36.
3*(c + 1)*(c + 6)*(5*c + 2)
Solve -a**3 + 4*a**2 + 19*a + 14 = 0.
-2, -1, 7
Suppose 2*r**4/7 - 50*r**3/7 + 178*r**2/7 - 214*r/7 + 12 = 0. What is r?
1, 2, 21
Find r, given that -9*r**2 + 29121*r + 9708 = 0.
-1/3, 3236
Factor 5*p**3/4 - 5*p**2/4 - 65*p + 200.
5*(p - 5)*(p - 4)*(p + 8)/4
Find t such that 2*t**2 - 4094*t = 0.
0, 2047
Factor a**2/2 - 121*a/8 + 15/4.
(a - 30)*(4*a - 1)/8
Factor -3*s**4/7 + 6*s**3/7 + 9*s**2/7.
-3*s**2*(s - 3)*(s + 1)/7
Factor -2*l**2/3 + 28*l - 160/3.
-2*(l - 40)*(l - 2)/3
Find q, given that -q**3/7 + 130*q**2/7 - 257*q/7 + 128/7 = 0.
1, 128
Factor -3*u**4/2 + 54*u**3 + 111*u**2/2.
-3*u**2*(u - 37)*(u + 1)/2
What is f in 3*f**3 - 2250*f**2 + 17856*f - 35616 = 0?
4, 742
Let -2*c**4/11 + 138*c**3/11 - 134*c**2/11 - 138*c/11 + 136/11 = 0. Calculate c.
-1, 1, 68
Determine n, given that 36*n**4/5 + 204*n**3/5 + 109*n**2/5 - 54*n/5 + 1 = 0.
-5, -1, 1/6
Factor 2*q**5/7 + 340*q**4/7 + 15440*q**3/7 + 84640*q**2/7 + 164000*q/7 + 107584/7.
2*(q + 2)**3*(q + 82)**2/7
Find v such that v**5/6 - 25*v**4/6 + 63*v**3/2 - 407*v**2/6 + 121*v/3 = 0.
0, 1, 2, 11
Find l, given that -12*l**5 - 8*l**4 + 36*l**3 + 48*l**2 + 16*l = 0.
-1, -2/3, 0, 2
Find n, given that 3*n**2 + n = 0.
-1/3, 0
Factor -2*f**2 + 58*f + 124.
-2*(f - 31)*(f + 2)
Factor 3*z**3/4 - 885*z**2/4 + 657*z.
3*z*(z - 292)*(z - 3)/4
Solve 5*o**4/2 - 913*o**3/6 - 541*o**2/3 + 866*o/3 + 124/3 = 0 for o.
-2, -2/15, 1, 62
Find g, given that -g**4/2 - 9*g**3 - 36*g**2 - 47*g - 39/2 = 0.
-13, -3, -1
Find d such that 4*d**4 + 20*d**3 + 8*d**2 - 32*d = 0.
-4, -2, 0, 1
Factor -35*r**3/2 + 305*r**2/2 + 45*r.
-5*r*(r - 9)*(7*r + 2)/2
What is x in -4*x**3/3 + 412*x**2/3 - 1564*x/3 - 660 = 0?
-1, 5, 99
Factor 3*t**4/7 + 27*t**3/7 + 3*t**2 - 27*t/7 - 24/7.
3*(t - 1)*(t + 1)**2*(t + 8)/7
Suppose -3*h**4/4 + 9*h**3/4 + 15*h**2/2 = 0. Calculate h.
-2, 0, 5
Determine g so that -g**2 + 15*g - 50 = 0.
5, 10
Suppose -4*d**5 + 52*d**4 - 96*d**3 - 352*d**2 + 1216*d - 960 = 0. What is d?
-3, 2, 10
Find l such that 2*l**5/11 - 2148*l**4/11 - 4*l**3/11 + 4296*l**2/11 + 2*l/11 - 2148/11 = 0.
-1, 1, 1074
Factor -3*j**3 - 18*j**2 - 15*j + 36.
-3*(j - 1)*(j + 3)*(j + 4)
Let -25*w**5 + 4595*w**4 - 3639*w**3 - 3863*w**2 + 3664*w - 732 = 0. Calculate w.
-1, 2/5, 1, 183
Determine a, given that a**5/5 - 4*a**4 - 4*a**3/5 + 16*a**2 = 0.
-2, 0, 2, 20
Find h such that -3*h**5/5 + 24*h**4/5 + 186*h**3/5 + 144*h**2/5 - 351*h/5 = 0.
-3, 0, 1, 13
Determine y so that -3*y**5 - 6*y**4 + 27*y**3 + 6*y**2 - 24*y = 0.
-4, -1, 0, 1, 2
Factor -605*t**5 - 1100*t**4 - 390*t**3 + 100*t**2 - 5*t.
-5*t*(t + 1)**2*(11*t - 1)**2
Factor 5*a**4 + 30*a**3 + 65*a**2 + 60*a + 20.
5*(a + 1)**2*(a + 2)**2
Factor -n**2 + 520*n - 67600.
-(n - 260)**2
Factor -2*k**3 - 26*k**2 - 64*k - 40.
-2*(k + 1)*(k + 2)*(k + 10)
Let -4*y**2 + 408*y = 0. What is y?
0, 102
What is v in 5*v**4 + 893*v**3/4 + 5127*v**2/2 + 1595*v + 242 = 0?
-22, -2/5, -1/4
Factor -3*i**3 + 3483*i**2 - 1009197*i - 1012683.
-3*(i - 581)**2*(i + 1)
Factor n**5 + 33*n**4 + 287*n**3 + 223*n**2 - 288*n - 256.
(n - 1)*(n + 1)**2*(n + 16)**2
Determine w so that -4*w**2 - 108*w + 2752 = 0.
-43, 16
Factor 3*k**2 - 6714*k + 3756483.
3*(k - 1119)**2
Determine p so that 6*p**4/17 + 88*p**3/17 + 206*p**2/17 + 172*p/17 + 48/17 = 0.
-12, -1, -2/3
What is z in 2*z**3/7 + 14328*z**2/7 + 34215264*z/7 + 27235350144/7 = 0?
-2388
Suppose 3*p**3 + 90*p**2 - 93*p = 0. Calculate p.
-31, 0, 1
Let 4*l**3/3 + 64*l**2 + 828*l + 4232/3 = 0. Calculate l.
-23, -2
Factor -5*j**2 + 1050*j - 2080.
-5*(j - 208)*(j - 2)
Find w, given that w**5 + 4*w**4 - 12*w**3 - 22*w**2 + 59*w - 30 = 0.
-5, -3, 1, 2
Factor 2*z**3 + 46*z**2 + 222*z + 306.
2*(z + 3)**2*(z + 17)
Factor 4*z**3 + 2700*z**2 + 607500*z + 45562500.
4*(z + 225)**3
Let d**4/6 - 12*d**3 + 299*d**2 - 9464*d/3 + 24167/2 = 0. Calculate d.
13, 33
Suppose -4*s**2 + 184*s + 384 = 0. What is s?
-2, 48
Factor -2*j**4 + 2*j**3 + 34*j**2 + 30*j.
-2*j*(j - 5)*(j + 1)*(j + 3)
Factor -i**3/4 + i**2/2 + 307*i/4 + 76.
-(i - 19)*(i + 1)*(i + 16)/4
Factor 12*x**2 - 466*x + 154.
2*(2*x - 77)*(3*x - 1)
Let -5*a**2 + 160*a - 435 = 0. What is a?
3, 29
Factor 5*y**3 - 10*y**2 - 5*y + 10.
5*(y - 2)*(y - 1)*(y + 1)
Solve c**3 - 693*c**2 + 160083*c - 12326391 = 0.
231
Solve 2*b**4/9 - 22*b**3/9 + 22*b**2/3 - 2*b - 12 = 0 for b.
-1, 3, 6
Solve -4*s**4 + 4*s**2 = 0.
-1, 0, 1
Find z such that -3*z**3/5 + 12*z**2 + 3*z/5 - 12 = 0.
-1, 1, 20
Factor -2*d**2/7 + 188*d - 30926.
-2*(d - 329)**2/7
Suppose 3*p**5/2 + 15*p**4/2 + 3*p**3 - 12*p**2 = 0. Calculate p.
-4, -2, 0, 1
What is c in -26*c**2/17 + 74*c/17 - 48/17 = 0?
1, 24/13
Factor -2*j**3/19 + 72*j**2/19 - 138*j/19 + 68/19.
-2*(j - 34)*(j - 1)**2/19
What is q in -3*q**2/8 + 99*q/8 + 81/2 = 0?
-3, 36
Factor n**5 - 6*n**4 + 6*n**3 + 20*n**2 - 39*n + 18.
(n - 3)**2*(n - 1)**2*(n + 2)
Find d such that -2*d**4/3 - 14*d**3/3 + 110*d**2/3 + 254*d/3 + 44 = 0.
-11, -1, 6
Factor -2*g**2 - 46*g.
-2*g*(g + 23)
Factor 5*m**3/2 + 49*m**2/2 + 35*m - 8.
(m + 2)*(m + 8)*(5*m - 1)/2
Find c such that c**4/3 - 2*c**3 - 7*c**2/3 = 0.
-1, 0, 7
What is h in -36*h**4 + 84*h**3 - 25*h**2 + 2*h = 0?
0, 1/6, 2
Factor 3*d**2/5 + 108*d/5 - 96.
3*(d - 4)*(d + 40)/5
Factor 2*w**2 + 168*w + 166.
2*(w + 1)*(w + 83)
Suppose -4*h**4/3 + 16*h**3/3 - 16*h**2/3 = 0. Calculate h.
0, 2
Factor x**2 - 5526*x + 7634169.
(x - 2763)**2
Suppose -10*n**3/11 + 892*n**2/11 + 722*n/11 - 180/11 = 0. What is n?
-1, 1/5, 90
Factor -95*y**3 - 9870*y**2 - 255840*y + 27040.
-5*(y + 52)**2*(19*y - 2)
Factor -2*g**3/5 + 734*g**2 + 7348*g/5.
-2*g*(g - 1837)*(g + 2)/5
Factor -770*a**3 - 15*a**2 + 6930*a + 135.
-5*(a - 3)*(a + 3)*(154*a + 3)
Factor 4*z**3 - 252*z**2 + 960*z - 944.
4*(z - 59)*(z - 2)**2
Factor -12*f**2 + 171*f + 135.
-3*(f - 15)*(4*f + 3)
Let 4*i**3/3 - 100*i**2/3 + 800*i/3 - 2000/3 = 0. Calculate i.
5, 10
Let -3*g**5 + 6*g**3 - 3*g = 0. Calculate g.
-1, 0, 1
Factor 4*m**2 - 1840*m - 3696.
4*(m - 462)*(m + 2)
Let -2*x**5/7 + 10*x**4/7 - 2*x**3 - 2*x**2/7 + 16*x/7 - 8/7 = 0. What is x?
-1, 1, 2
Factor -5*m**2 - 610*m - 18605.
-5*(m + 61)**2
Solve d**4/10 + 27*d**3/10 + 37*d**2/5 + 24*d/5 = 0 for d.
-24, -2, -1, 0
Determine u, given that 2*u**4 + 824*u**3 - 6*u**2 - 2468*u + 1648 = 0.
-412, -2, 1
Factor t**4/2 + 12*t**3 - 51*t**2/2 + 13*t.
t*(t - 1)**2*(t + 26)/2
Factor -5*d**4 + 80*d**3 + 285*d**2.
-5*d**2*(d - 19)*(d + 3)
Factor -2*g**5/9 + 22*g**4/3 + 284*g**3/9 + 436*g**2/9 + 98*g/3 + 74/9.
-2*(g - 37)*(g + 1)**4/9
Factor 3*y**2 - 285*y - 882.
3*(y - 98)*(y + 3)
Factor 3*o**4 - 39*o**2 - 36*o.
3*o*(o - 4)*(o + 1)*(o + 3)
Find u such that 7*u**4 - 47*u**3 + 70*u**2 + 24*u = 0.
-2/7, 0, 3, 4
Solve 6*z**5 - 88*z**4/13 - 80*z**3/13 + 100*z**2/13 + 2*z/13 - 12/13 = 0 for z.
-1, -1/3, 6/13, 1
Find r such that -2*r**2/3 + 20*r/3 - 6 = 0.
1, 9
Factor -162*p**2/11 + 2016*p/11 - 6272/11.
-2*(9*p - 56)**2/11
Factor 2*k**2 + 8476*k + 8980322.
2*(k + 2119)**2
Suppose -2*k**4/3 - 346*k**3/3 - 4812*k**2 + 45760*k/3 - 30976/3 = 0. Calculate k.
-88, 1, 2
Solve -f**4 - 97*f**3 - 2400*f**2 - 2304*f = 0 for f.
-48, -1, 0
Factor d**5 - 2*d**4 - 2*d**3 + 4*d**2 + d - 2.
(d - 2)*(d - 1)**2*(d + 1)**2
Let -o**5 + 4*o**3 - 2*o**2 - 3*o + 2 = 0. Calculate o.
-2, -1, 1
Factor -3*u**2 - 183*u.
-3*u*(u + 61)
Factor -5*q**2 - 160*q - 1280.
-5*(q + 16)**2
Suppose -2*m**3 - 16*m**2 + 30*m + 108 = 0. What is m?
-9, -2, 3
Let m**3/7 - 20*m**2/7 + 16*m - 192/7 = 0. Calculate m.
4, 12
Factor -h**2 - 943*h + 1890.
-(h - 2)*(h + 945)
Determine m so that m**2/6 - 29