 153*n**2 - 39*n.
3*n*(n + 13)*(4*n - 1)
Factor 4*f**3 - 8*f**2 - 640*f + 3584.
4*(f - 8)**2*(f + 14)
Factor 4*z**2 + 8624*z + 4648336.
4*(z + 1078)**2
Solve -4*i**4 + 124*i**3 - 436*i**2 - 6396*i - 11592 = 0.
-3, 14, 23
Factor -3*i**5/2 + 564*i**4 - 2232*i**3.
-3*i**3*(i - 372)*(i - 4)/2
Let -15*b**5 + 110*b**4 + 85*b**3 - 40*b**2 = 0. What is b?
-1, 0, 1/3, 8
Solve -2*w**4/5 - 6*w**3/5 - 2*w**2/5 + 6*w/5 + 4/5 = 0 for w.
-2, -1, 1
Find w, given that 2*w**2/3 - 8*w - 320/3 = 0.
-8, 20
Solve -243*d**3/5 - 77409*d**2/5 + 6888*d - 3828/5 = 0.
-319, 2/9
Factor -x**2/3 - 50*x/3 - 49/3.
-(x + 1)*(x + 49)/3
Suppose -u**4/2 - 8*u**3 - 39*u**2/2 + 200*u + 800 = 0. What is u?
-8, -5, 5
Find a, given that -8*a**3/3 - 322*a**2/3 + 248*a/3 + 82/3 = 0.
-41, -1/4, 1
Find w, given that -2*w**3/5 + 4*w**2 - 34*w/5 + 16/5 = 0.
1, 8
Solve w**2/8 + 41*w/8 + 195/4 = 0 for w.
-26, -15
Find m, given that 2*m**4 - 352*m**3 + 23232*m**2 - 681472*m + 7496192 = 0.
44
Factor x**2/4 + 3*x/4 - 7.
(x - 4)*(x + 7)/4
Let 3*f**4 - 21*f**3 + 15*f**2 + 21*f - 18 = 0. What is f?
-1, 1, 6
Factor 2*g**4/3 - 2*g**3/3 - 4*g**2 + 8*g/3 + 16/3.
2*(g - 2)**2*(g + 1)*(g + 2)/3
Find m, given that 3*m**4/7 - 27*m**3/7 - 12*m**2/7 + 108*m/7 = 0.
-2, 0, 2, 9
Solve d**4/3 + 16*d**3/3 + 58*d**2/3 + 8*d - 33 = 0 for d.
-11, -3, 1
Let 2*a**3 - 12*a**2 - 32*a = 0. Calculate a.
-2, 0, 8
Let k**2 - 6*k + 8 = 0. Calculate k.
2, 4
Determine n so that -2*n**2/5 - 1604*n/5 - 321602/5 = 0.
-401
What is c in -5*c**2 - 600*c - 1180 = 0?
-118, -2
What is m in 2*m**3 + 20*m**2 - 22*m = 0?
-11, 0, 1
Determine i so that -5*i**3 + 25*i**2 = 0.
0, 5
What is i in i**4 - 82*i**3 + 2409*i**2 - 29848*i + 132496 = 0?
13, 28
Factor 5*i**4 + 2015*i**3 + 204005*i**2 + 197985*i - 404010.
5*(i - 1)*(i + 2)*(i + 201)**2
What is i in -i**2 + i = 0?
0, 1
Let -2*g**3/7 - 18*g**2/7 + 2*g/7 + 18/7 = 0. Calculate g.
-9, -1, 1
Solve o**5/3 - 6*o**4 - 4*o**3/3 + 376*o**2 - 1344*o = 0 for o.
-8, 0, 6, 14
Factor m**5/8 - 5*m**4/8 - 47*m**3/8 + 105*m**2/8 - 27*m/4.
m*(m - 9)*(m - 1)**2*(m + 6)/8
Suppose 3*b**4 - 192*b**3 + 1227*b**2 - 1710*b = 0. Calculate b.
0, 2, 5, 57
Find b, given that -4*b**3/3 - 3604*b**2 - 3247204*b - 2925730804/3 = 0.
-901
Factor -5*w**2 + 25160*w - 31651280.
-5*(w - 2516)**2
Determine w so that -3*w**2/2 + 12924*w - 27838296 = 0.
4308
Factor 3*r**3 - 897*r**2 - 900*r.
3*r*(r - 300)*(r + 1)
Factor -2*w**2/3 + 128*w + 390.
-2*(w - 195)*(w + 3)/3
Suppose -q**5 + 12*q**4 - 50*q**3 + 84*q**2 - 45*q = 0. Calculate q.
0, 1, 3, 5
Determine l so that l**4 - 15*l**3 + 27*l**2 - 13*l = 0.
0, 1, 13
Suppose 2*m**3/5 + 6*m**2/5 - 188*m/5 + 336/5 = 0. Calculate m.
-12, 2, 7
Let -4*s**4/9 - 16*s**3/3 - 208*s**2/9 - 128*s/3 - 256/9 = 0. What is s?
-4, -2
Factor -9*a**2/5 + 16*a/5 + 4/5.
-(a - 2)*(9*a + 2)/5
Suppose 46*u**3/3 - 44*u**2 + 74*u/3 + 4 = 0. What is u?
-3/23, 1, 2
Factor 3*d**2 + 45*d.
3*d*(d + 15)
Determine y, given that -y**4/6 - 4*y**3 + y**2/6 + 4*y = 0.
-24, -1, 0, 1
Solve -h**4 + 49*h**3 - 333*h**2 + 155*h + 2050 = 0 for h.
-2, 5, 41
Determine h so that 2*h**3/3 - 28*h**2/3 - 328*h/3 - 176 = 0.
-6, -2, 22
Factor 3*l**4 - 33*l**3 - 78*l**2.
3*l**2*(l - 13)*(l + 2)
Factor 4*u**4 + 152*u**3 - 4*u**2 - 152*u.
4*u*(u - 1)*(u + 1)*(u + 38)
Determine x, given that 3*x**5/5 - 57*x**4/5 + 237*x**3/5 - 399*x**2/5 + 60*x - 84/5 = 0.
1, 2, 14
Factor 3*q**2 - 294*q - 1872.
3*(q - 104)*(q + 6)
Solve 2*g**2 - 638*g - 640 = 0.
-1, 320
Let -5*p**5 + 125*p**4 - 230*p**3 - 10*p**2 + 235*p - 115 = 0. Calculate p.
-1, 1, 23
Let -2*i**4/15 + 6*i**3/5 - 44*i**2/15 + 64/15 = 0. What is i?
-1, 2, 4
Determine k so that 2*k**2/5 + 4*k = 0.
-10, 0
Factor -q**4 + 293*q**3 + 296*q**2 - 588*q.
-q*(q - 294)*(q - 1)*(q + 2)
Let -3*o**3 + 1542*o**2 - 195027*o - 804972 = 0. What is o?
-4, 259
Factor -4*d**2 - 4*d.
-4*d*(d + 1)
Factor t**4/5 - 8*t**3/5 + 2*t**2/5 + 16*t - 15.
(t - 5)**2*(t - 1)*(t + 3)/5
Factor -12*y**2 + 1472*y - 976.
-4*(y - 122)*(3*y - 2)
Determine z so that -4*z**2 + 256*z - 4096 = 0.
32
Factor 3*g**5 + 30*g**4 + 63*g**3 - 12*g**2 - 84*g.
3*g*(g - 1)*(g + 2)**2*(g + 7)
Let -2*h**5/5 + 18*h**4/5 - 10*h**3 + 54*h**2/5 - 4*h = 0. What is h?
0, 1, 2, 5
Factor -l**3/8 + 29*l**2/8 + 31*l/4.
-l*(l - 31)*(l + 2)/8
Factor -n**2/3 + 28*n/3.
-n*(n - 28)/3
Factor -b**5 + 43*b**4 - 391*b**3 - 1587*b**2.
-b**2*(b - 23)**2*(b + 3)
Let 2*s**3/13 - 8*s**2/13 - 34*s/13 + 120/13 = 0. Calculate s.
-4, 3, 5
Factor 5*i**5/2 + 430*i**4 + 18490*i**3.
5*i**3*(i + 86)**2/2
Solve -r**2/4 - 139*r/4 + 35 = 0 for r.
-140, 1
Factor 3*i**3 + 336*i**2 - 1029*i + 690.
3*(i - 2)*(i - 1)*(i + 115)
Let -12*t**3 - 28*t**2 + 24*t = 0. What is t?
-3, 0, 2/3
Suppose q**2/5 + 208*q/5 + 10816/5 = 0. Calculate q.
-104
Determine k, given that k**2/2 + 224*k + 25088 = 0.
-224
Factor -3*i**4 + 18*i**3 - 33*i**2 + 18*i.
-3*i*(i - 3)*(i - 2)*(i - 1)
Find n such that 30*n**2 + 325*n - 55 = 0.
-11, 1/6
Factor h**3 - 19*h**2 - 22*h + 40.
(h - 20)*(h - 1)*(h + 2)
Find t, given that t**2/10 - 868*t/5 + 376712/5 = 0.
868
Find d such that 9*d**4/4 - 12*d**3 - 633*d**2/4 - 270*d + 108 = 0.
-4, -3, 1/3, 12
Suppose -z**3/9 - 17*z**2/9 - 7*z + 9 = 0. What is z?
-9, 1
Determine j so that 90*j**4/7 + 177*j**3/7 - 96*j**2/7 - 177*j/7 + 6/7 = 0.
-2, -1, 1/30, 1
Determine c, given that 5*c**4 + 821*c**3 - 661*c**2 - 165*c = 0.
-165, -1/5, 0, 1
Determine s so that 5*s**2 - 1160*s + 67280 = 0.
116
Factor -2*h**2/9 + 284*h/9 - 94/3.
-2*(h - 141)*(h - 1)/9
Find d such that 5*d**5 + 5*d**4 - 10*d**3 = 0.
-2, 0, 1
Solve -2*m**5/5 + 8*m**4/5 + 4*m**3/5 - 16*m**2/5 - 2*m/5 + 8/5 = 0.
-1, 1, 4
Let 12*u**3 - 124*u**2 + 180*u + 700 = 0. Calculate u.
-5/3, 5, 7
Solve -5*w**2/3 - 235*w - 5320/3 = 0 for w.
-133, -8
Suppose -56*p**4 - 1412*p**3 - 8328*p**2 + 7228*p - 1352 = 0. What is p?
-13, 2/7, 1/2
Factor -2*v**2/17 + 26*v/17 - 60/17.
-2*(v - 10)*(v - 3)/17
Factor r**2/6 - 361*r/3 - 241/2.
(r - 723)*(r + 1)/6
Suppose 2*i**2/7 + 2188*i/7 + 598418/7 = 0. What is i?
-547
Factor -6*c**3/5 - 83*c**2/5 - 64*c/5 + 13/5.
-(c + 1)*(c + 13)*(6*c - 1)/5
Solve 5*i**4 + 160*i**3 + 1430*i**2 + 2400*i + 1125 = 0.
-15, -1
Let -4*h**5 + 256*h**4 + 528*h**3 + 8*h**2 - 524*h - 264 = 0. What is h?
-1, 1, 66
Factor -15*c**3 + 279*c**2 - 396*c - 204.
-3*(c - 17)*(c - 2)*(5*c + 2)
Factor -u**2/5 + 11728*u/5 - 34386496/5.
-(u - 5864)**2/5
Find z, given that -49*z**5/11 + 2527*z**4/11 - 32302*z**3/11 + 17844*z**2/11 - 2520*z/11 = 0.
0, 2/7, 21, 30
Solve 3*c**2/2 + 63*c/2 = 0 for c.
-21, 0
Find x such that -x**3/10 - 13*x**2/2 + 2*x/5 + 26 = 0.
-65, -2, 2
Factor -2*q**4 - 494*q**3 - 40338*q**2 - 1060906*q + 2287148.
-2*(q - 2)*(q + 83)**3
Factor -4*d**4 + 36*d**3 - 96*d**2 + 64*d.
-4*d*(d - 4)**2*(d - 1)
Factor 8*u**3/5 + 46*u**2/5 + 52*u/5 - 16/5.
2*(u + 2)*(u + 4)*(4*u - 1)/5
Factor -b**3/4 - 53*b**2/4 - 154*b + 588.
-(b - 3)*(b + 28)**2/4
Suppose -5*r**4 + 95*r**3/2 + 110*r**2 - 575*r/2 - 165 = 0. What is r?
-3, -1/2, 2, 11
Determine z, given that -2*z**2/5 + 14*z/5 + 16/5 = 0.
-1, 8
Let -3*o**4/5 - 9*o**3/5 + 9*o**2/5 + 33*o/5 + 18/5 = 0. Calculate o.
-3, -1, 2
What is x in x**3 - 23*x**2 + 120*x + 144 = 0?
-1, 12
Determine y, given that -y**4 + 101*y**3 - 2394*y**2 - 7904*y - 5408 = 0.
-2, -1, 52
Determine q, given that 2*q**3/17 + 130*q**2/17 - 8*q/17 - 520/17 = 0.
-65, -2, 2
Factor -n**2/11 + 523*n/11 - 1042/11.
-(n - 521)*(n - 2)/11
Factor d**2 + 533*d - 534.
(d - 1)*(d + 534)
Let 5*f**3 - 100*f**2 + 85*f + 190 = 0. What is f?
-1, 2, 19
Find b such that -4*b**3/5 - 3*b**2/5 + 16*b/5 + 12/5 = 0.
-2, -3/4, 2
Solve -z**2/2 + 11*z/2 - 5 = 0 for z.
1, 10
Suppose -4*v**4/5 + 16*v**3/5 + 76*v**2/5 - 184*v/5 + 96/5 = 0. What is v?
-4, 1, 6
Factor 3*b**4 + 156*b**3 + 2316*b**2 + 7488*b + 6912.
3*(b + 2)**2*(b + 24)**2
Let -2*u**2/9 - 8*u/3 + 26/9 = 0. What is u?
-13, 1
Suppose 3*v**4 + 12*v**3 - 3*v**2 - 12*v = 0. What is v?
-4, -1, 0, 1
Find p, given that 2*p**5 - 84*p**4 + 450*p**3 - 648*p**2 = 0.
0, 3, 36
Find o, given that 5*o**3 + 80*o**2 - 1175*o + 3250 = 0.
-26, 5
Find p such that -p**2/8 + 35*p/4 + 18 = 0.
-2, 72
Factor -4*n**3 + 32*n**2 + 92*n - 120.
-4*(n - 10)*(n - 1)*(n + 3)
Suppose 288*y**3/13 - 240*y**2/13 - 46*y/13 - 2/13 = 0. What is y?
-1/12, 1
What is x in -x**2/3 + 36*x - 972 = 0?
54
What is a in 4*