1
Let 7324*z**3 - 7316*z**2 - 8*z = 0. What is z?
-2/1831, 0, 1
Factor -5*y**3/11 + 12*y**2/11 + y - 6/11.
-(y - 3)*(y + 1)*(5*y - 2)/11
Suppose -2*p**3 - 122*p**2/7 + 540*p/7 - 144/7 = 0. Calculate p.
-12, 2/7, 3
Let -z**4 - 152*z**3 - 1445*z**2 - 3550*z = 0. Calculate z.
-142, -5, 0
Factor -5*c**3 + 410*c**2 - 1195*c + 790.
-5*(c - 79)*(c - 2)*(c - 1)
Factor -3*l**2/2 + 9*l/2 + 231.
-3*(l - 14)*(l + 11)/2
Solve -39*w**3/7 + 22*w**2 - 148*w/7 - 8/7 = 0.
-2/39, 2
Solve -2*x**4/5 + 1418*x**3/5 - 66834*x**2 + 25950078*x/5 + 53248212/5 = 0.
-2, 237
Solve -n**4/5 + 3*n**3 + 52*n**2/5 + 36*n/5 = 0 for n.
-2, -1, 0, 18
Factor -t**4 + 10*t**3 - 25*t**2.
-t**2*(t - 5)**2
Factor -5*m**4 + 45*m**3 - 75*m**2 + 35*m.
-5*m*(m - 7)*(m - 1)**2
What is s in -s**3/4 + 137*s**2/2 - 273*s/4 = 0?
0, 1, 273
Solve 7290*k**5 + 81162*k**4 + 7884*k**3 - 30104*k**2 + 8560*k - 704 = 0.
-11, -4/5, 2/9
Factor 4*j**4 + 1060*j**3 + 93984*j**2 + 2818816*j + 2725888.
4*(j + 1)*(j + 88)**3
Factor s**3/4 + 79*s**2/2 + 1599*s + 3042.
(s + 2)*(s + 78)**2/4
Factor -2*v**2/11 + 256*v/11 - 8192/11.
-2*(v - 64)**2/11
Let 2*a**4/7 - 60*a**3/7 - 66*a**2/7 + 124*a/7 = 0. What is a?
-2, 0, 1, 31
Factor -10*r**2/17 - 838*r/17 + 168/17.
-2*(r + 84)*(5*r - 1)/17
Factor -x**2/2 + 252*x.
-x*(x - 504)/2
Suppose -3*a**5 + 18*a**4 + 27*a**3 - 174*a**2 + 36*a + 216 = 0. What is a?
-3, -1, 2, 6
Determine a, given that 2*a**3 - 350*a**2 + 1032*a = 0.
0, 3, 172
Factor 7*x**4/4 - 5*x**3/2 - x**2/4 + x.
x*(x - 1)**2*(7*x + 4)/4
Let -3*r**4 - 39*r**3 + 93*r**2 + 39*r - 90 = 0. Calculate r.
-15, -1, 1, 2
What is q in -2*q**2/5 + 44*q/5 + 30 = 0?
-3, 25
Suppose -q**4 - 4*q**3 + 29*q**2 - 24*q = 0. What is q?
-8, 0, 1, 3
Factor 4*a**3 + 372*a**2 + 732*a + 364.
4*(a + 1)**2*(a + 91)
Let -3*b**3/5 + 147*b**2/5 - 201*b + 861/5 = 0. Calculate b.
1, 7, 41
Factor -3*o**4/4 - 3*o**3/2 + 15*o**2/4 + 9*o/2.
-3*o*(o - 2)*(o + 1)*(o + 3)/4
Factor 5*o**5/2 + 75*o**4/2 + 210*o**3 + 520*o**2 + 480*o.
5*o*(o + 3)*(o + 4)**3/2
Factor 4*b**4/9 - 104*b**3/9 + 436*b**2/9 - 112*b/3.
4*b*(b - 21)*(b - 4)*(b - 1)/9
Determine y, given that 51*y**5 - 243*y**4/2 - 285*y**3/2 + 225*y**2/2 + 183*y/2 + 9 = 0.
-1, -1/2, -2/17, 1, 3
Let -3*q**5 - 12*q**4 + 54*q**3 - 60*q**2 + 21*q = 0. Calculate q.
-7, 0, 1
Determine i, given that -5*i**2 + 95*i + 600 = 0.
-5, 24
Factor -15*r**2 - 3249*r + 1302.
-3*(r + 217)*(5*r - 2)
Let b**3/2 - 86*b**2 + 341*b/2 - 85 = 0. What is b?
1, 170
Suppose -b**2/2 - 8*b + 17/2 = 0. What is b?
-17, 1
Determine y so that 4*y**2/3 - 6*y - 52/3 = 0.
-2, 13/2
Solve -6*s**5/7 + 38*s**4/7 + 36*s**3/7 - 276*s**2/7 + 46*s - 114/7 = 0.
-3, 1, 19/3
What is b in 3*b**4 + 66*b**3 + 195*b**2 - 2028*b = 0?
-13, 0, 4
Factor -5*t**3 - 170*t**2 - 475*t - 310.
-5*(t + 1)*(t + 2)*(t + 31)
Factor 5*b**4 - 950*b**3 + 46065*b**2 - 89300*b + 44180.
5*(b - 94)**2*(b - 1)**2
Factor -3*f**2 + 261*f/5 - 102/5.
-3*(f - 17)*(5*f - 2)/5
Solve 4*h**4 - 304*h**3 + 300*h**2 = 0 for h.
0, 1, 75
What is k in -14*k**4/9 - 146*k**3/9 + 122*k**2/9 + 386*k/9 + 44/3 = 0?
-11, -1, -3/7, 2
Find q such that 2*q**3 - 74*q**2 - 2*q + 74 = 0.
-1, 1, 37
Factor 3*c**2/7 - 2724*c/7 + 618348/7.
3*(c - 454)**2/7
Factor -s**2 - 1212*s - 367236.
-(s + 606)**2
Factor -o**2 - 2266*o - 1283689.
-(o + 1133)**2
What is z in 5*z**2 + 100*z + 95 = 0?
-19, -1
Factor -4*y**4/3 - 68*y**3.
-4*y**3*(y + 51)/3
Find x such that x**2 + 20*x + 64 = 0.
-16, -4
Solve 32*o**4/5 - 5936*o**3/5 - 2974*o**2/5 - 372*o/5 = 0.
-1/4, 0, 186
Factor -5*b**5 + 15*b**3 + 10*b**2.
-5*b**2*(b - 2)*(b + 1)**2
Solve 2*h**4/7 - 2*h**3/7 - 2*h**2/7 + 2*h/7 = 0 for h.
-1, 0, 1
Factor i**3/8 - 183*i**2/2.
i**2*(i - 732)/8
Let s**3/3 - 1864*s**2 + 3474496*s - 6476460544/3 = 0. What is s?
1864
Factor -j**5/4 - 4*j**4 - 7*j**3 + j**2/2 + 29*j/4 + 7/2.
-(j - 1)*(j + 1)**3*(j + 14)/4
Determine b, given that -2*b**4 - 48*b**3 - 164*b**2 + 480*b - 266 = 0.
-19, -7, 1
Factor 30*q**2/11 - 72*q/11 + 24/11.
6*(q - 2)*(5*q - 2)/11
What is i in 3*i**4/2 - 116*i**3 + 525*i**2/2 + 2*i - 150 = 0?
-2/3, 1, 2, 75
Determine h, given that -4*h**3 + 168*h**2 + 364*h - 528 = 0.
-3, 1, 44
Factor o**4/2 - 6*o**3 + 27*o**2/2.
o**2*(o - 9)*(o - 3)/2
Factor -3*h**2/5 + 24*h.
-3*h*(h - 40)/5
Factor u**4/3 - 37*u**3/3 - 13*u**2 + 37*u/3 + 38/3.
(u - 38)*(u - 1)*(u + 1)**2/3
Factor n**2/7 - 106*n/7 + 2809/7.
(n - 53)**2/7
Factor v**3 + 126*v**2.
v**2*(v + 126)
Find p, given that -2*p**5/3 + 8*p**4/5 - 8*p**3/15 = 0.
0, 2/5, 2
Factor 3*z**3/4 + 73*z**2/2 - 199*z/4 + 25/2.
(z - 1)*(z + 50)*(3*z - 1)/4
Let -c**5 + 9*c**4 - 30*c**3 + 46*c**2 - 33*c + 9 = 0. Calculate c.
1, 3
Factor -f**4/4 + 27*f**3/4 - 195*f**2/4 + 169*f/4.
-f*(f - 13)**2*(f - 1)/4
Factor 4*g**3 + 196*g**2 + 2496*g + 2304.
4*(g + 1)*(g + 24)**2
Find k, given that k**5/9 + 8*k**4/9 + 16*k**3/9 - 16*k**2/9 - 80*k/9 - 64/9 = 0.
-4, -2, 2
Solve p**2 + 501*p/2 + 125 = 0.
-250, -1/2
Solve -10*c**3 - 85*c**2 + 50*c + 45 = 0.
-9, -1/2, 1
Suppose -2*m**5/21 - 16*m**4/21 - 16*m**3/7 - 68*m**2/21 - 46*m/21 - 4/7 = 0. Calculate m.
-3, -2, -1
Factor -3*a**4 - 291*a**3 - 570*a**2.
-3*a**2*(a + 2)*(a + 95)
Factor 2*y**3 + 18*y**2 + 52*y + 48.
2*(y + 2)*(y + 3)*(y + 4)
Factor 2*d**4 - 175*d**3 + 429*d**2 - 341*d + 85.
(d - 85)*(d - 1)**2*(2*d - 1)
Factor -2*t**3/7 - 18*t**2/7 + 96*t/7 - 104/7.
-2*(t - 2)**2*(t + 13)/7
Find p such that 3*p**2 - 6*p - 9 = 0.
-1, 3
Let u**5/4 - 29*u**4/4 = 0. Calculate u.
0, 29
Suppose -p**4/3 + 26*p**3/3 - 185*p**2/3 + 400*p/3 = 0. Calculate p.
0, 5, 16
Let -2*y**2/9 - 68*y/9 - 578/9 = 0. What is y?
-17
Solve -3*z**4 - 60*z**3 - 357*z**2 - 696*z - 396 = 0.
-11, -6, -2, -1
Factor 3*b**2/4 - 3*b - 9.
3*(b - 6)*(b + 2)/4
Find c such that 5329*c**3/4 + 5621*c**2/2 + 296*c + 8 = 0.
-2, -4/73
Determine p so that 4*p**4 + 8*p**3 - 8*p - 4 = 0.
-1, 1
Factor 5*v**2/2 - 55*v - 120.
5*(v - 24)*(v + 2)/2
Let 5*j**5/4 - 45*j**4/4 + 95*j**3/4 + 105*j**2/4 - 70*j - 60 = 0. What is j?
-1, 3, 4
Factor -t**3 - 50*t**2 - 231*t - 270.
-(t + 2)*(t + 3)*(t + 45)
Factor -2*y**3/5 - 9798*y**2/5 + 1960*y.
-2*y*(y - 1)*(y + 4900)/5
Factor z**4/2 + 434*z**3 + 125280*z**2 + 11942200*z - 24389000.
(z - 2)*(z + 290)**3/2
Factor -3*a**3 - 399*a**2 + 807*a - 405.
-3*(a - 1)**2*(a + 135)
Factor -4*g**2 + 128*g - 124.
-4*(g - 31)*(g - 1)
Factor 2*g**2/13 - 12*g/13.
2*g*(g - 6)/13
Factor -j**2/8 + 209*j/4 - 43681/8.
-(j - 209)**2/8
Factor -27*z**3/2 - 24*z**2 + 93*z/2 - 9.
-3*(z - 1)*(z + 3)*(9*z - 2)/2
Solve -3*s**4 - 36*s**3 - 129*s**2 - 180*s - 84 = 0.
-7, -2, -1
What is f in 2*f**5 + 48*f**4 - 4096*f**2 = 0?
-16, 0, 8
Factor d**3 - 368*d**2 + 33856*d.
d*(d - 184)**2
Factor 121*w**2/6 - 77*w/3 + 49/6.
(11*w - 7)**2/6
Suppose -b**2/3 - 40*b/3 - 133 = 0. Calculate b.
-21, -19
Determine h, given that -5*h**5/2 - 35*h**4/2 - 10*h**3 + 110*h**2 + 80*h - 160 = 0.
-4, -2, 1, 2
Determine z so that 2*z**2 - 40*z = 0.
0, 20
Factor 6*n**3/5 + 298*n**2/5 + 730*n - 250.
2*(n + 25)**2*(3*n - 1)/5
Factor -4*n**4 - 12*n**3 + 12*n**2 + 44*n + 24.
-4*(n - 2)*(n + 1)**2*(n + 3)
Factor -4*f**4 + 32*f**3 - 20*f**2 - 56*f.
-4*f*(f - 7)*(f - 2)*(f + 1)
Let -50*u**4/3 + 470*u**3 - 9248*u**2/3 - 2696*u - 1664/3 = 0. What is u?
-2/5, 13, 16
Let -12*s**4 + 160*s**3 - 176*s**2 - 192*s = 0. Calculate s.
-2/3, 0, 2, 12
Factor -2*b**3/9 + 22*b**2/3 - 170*b/3 - 578/9.
-2*(b - 17)**2*(b + 1)/9
Solve -2*l**2/7 + 7304*l/7 - 7302/7 = 0.
1, 3651
Let l**3 - 24*l**2 + 117*l - 162 = 0. Calculate l.
3, 18
Let -3*a**4 + 54*a**3 + 9*a**2 - 156*a - 108 = 0. Calculate a.
-1, 2, 18
Let -3*d**3/7 + 627*d**2/7 - 5208*d + 53508 = 0. Calculate d.
13, 98
Find d such that d**3/5 - 21*d**2/5 + 16*d = 0.
0, 5, 16
Determine k, given that -115*k**5/3 + 823*k**4/6 - 152*k**3/3 - 283*k**2/6 - k = 0.
-2/5, -1/46, 0, 1, 3
Determine f, given that 4*f**4 - 64*f**3 + 308*f**2 - 392*f = 0.
0, 2, 7
Let -2*i**2/17 + 60*i/17 - 58/17 = 0. What is i?
1, 29
Find i such that 4*i**4/3 - 4*i**3/3 - 4*i**2 + 4*i/3 + 8/3 = 0.
-1, 1, 2
Factor 2*o**2/13 - 592*o/13 + 43808/13.
2*(o - 148)**2/13
Let -2*h**3/9 + 166*h**2/9 + 338*h/9 + 170/9 = 0. What is h?
-1, 85
Let -k**4/2 + k**3 + 5*k**2/2 - 3*k = 0. What is k?
-2, 0, 1, 3
Factor -84*z**2/5 + 9*z - 6/5.
-3*(4*z - 1)*(7*z - 2)/5
Factor 2*d**3/9 - 18*d**2 + 256*d/3 - 608/9.
2*(d - 76)*(d - 4)*(d - 1)/9