v**4/7 - 38*v**2/7 + 60*v/7 = 0.
-5, 0, 2, 3
Factor 4*h**5 - 192*h**4 + 704*h**3 + 64*h**2 - 2880*h + 2816.
4*(h - 44)*(h - 2)**3*(h + 2)
Solve -2*a**4/3 - 20*a**3/3 - 58*a**2/3 - 64*a/3 - 8 = 0.
-6, -2, -1
Suppose 5*r**3 - 1715*r**2 + 1710*r = 0. Calculate r.
0, 1, 342
Factor l**4 + 64*l**3 + 62*l**2 - 64*l - 63.
(l - 1)*(l + 1)**2*(l + 63)
Let 2*l**3/3 - 8*l**2/3 + 10*l/3 - 4/3 = 0. Calculate l.
1, 2
Suppose -3*b**4 + 65*b**3 - 30*b**2 - 260*b + 168 = 0. What is b?
-2, 2/3, 2, 21
Factor -2*t**2/7 - 38*t/7 - 36/7.
-2*(t + 1)*(t + 18)/7
Suppose -2*h**5/7 + 6*h**4/7 + 6*h**3/7 - 2*h**2 - 12*h/7 = 0. Calculate h.
-1, 0, 2, 3
Factor -5*k**4/2 + 35*k**3/2 - 20*k**2 - 40*k.
-5*k*(k - 4)**2*(k + 1)/2
Suppose -2*b**3 - 224*b**2 - 6272*b = 0. Calculate b.
-56, 0
Factor -j**2/5 + 78*j/5 - 1521/5.
-(j - 39)**2/5
Let -25*v**4 + 65*v**3 + 55*v**2 - 65*v - 30 = 0. Calculate v.
-1, -2/5, 1, 3
Suppose -2*o**3 + 4*o**2 + 10*o - 12 = 0. What is o?
-2, 1, 3
Suppose 10*m**5 - 44*m**4 + 66*m**3 - 40*m**2 + 8*m = 0. What is m?
0, 2/5, 1, 2
What is c in -3*c**3 - 21*c**2 - 18*c = 0?
-6, -1, 0
Suppose -2*y**2/13 - 134*y/13 - 20 = 0. Calculate y.
-65, -2
Let -4*p**3/3 - 2*p**2 - 2*p/3 = 0. Calculate p.
-1, -1/2, 0
Factor 5*q**2 + 550*q + 15125.
5*(q + 55)**2
Let k**2/2 - 178*k + 15842 = 0. Calculate k.
178
Let -a**5 - 6*a**4 + 43*a**3 + 412*a**2 + 1020*a + 800 = 0. What is a?
-5, -2, 8
What is j in 3*j**5/5 + 33*j**4/5 + 141*j**3/5 + 291*j**2/5 + 288*j/5 + 108/5 = 0?
-3, -2, -1
Let -35*w**2 + 2130*w + 9080 = 0. What is w?
-4, 454/7
Solve -5*d**5 + 10*d**4 + 140*d**3 + 230*d**2 + 105*d = 0 for d.
-3, -1, 0, 7
Factor -3*n**3/7 + 1026*n**2/7 + 16992*n/7 + 68736/7.
-3*(n - 358)*(n + 8)**2/7
Factor i**2/5 + 14*i + 65.
(i + 5)*(i + 65)/5
Determine s, given that -2*s**2/3 - 40*s/3 - 50 = 0.
-15, -5
Factor 3*i**2 + 18*i - 48.
3*(i - 2)*(i + 8)
Factor 6*n**2/5 + 174*n/5 + 168/5.
6*(n + 1)*(n + 28)/5
Factor s**5 + 2*s**4 - 4*s**3 - 2*s**2 + 3*s.
s*(s - 1)**2*(s + 1)*(s + 3)
Factor -s**2/4 + 21*s/2.
-s*(s - 42)/4
Factor -4*x**5 + 4*x**4 + 12*x**3 - 20*x**2 + 8*x.
-4*x*(x - 1)**3*(x + 2)
What is u in 245*u**3/2 + 4179*u**2/2 + 1191*u/10 + 17/10 = 0?
-17, -1/35
Determine v so that -22*v**4/3 + 8*v**3/3 + 12*v**2 - 8*v/3 - 14/3 = 0.
-1, -7/11, 1
Solve -2*k**2/17 + 40*k/17 + 682/17 = 0 for k.
-11, 31
Factor t**3/5 - 52*t**2/5 + 57*t - 414/5.
(t - 46)*(t - 3)**2/5
Factor 3*t**3/7 + 15*t**2 + 537*t/7 + 435/7.
3*(t + 1)*(t + 5)*(t + 29)/7
Find x, given that -10*x**3 - 16*x**2 - 2*x + 4 = 0.
-1, 2/5
Factor 2*t**3/15 + 1358*t**2/15 + 45694*t/3 - 232562/5.
2*(t - 3)*(t + 341)**2/15
Let -2*m**3/5 - 8*m**2/5 + 104*m/5 - 32 = 0. What is m?
-10, 2, 4
What is r in 4*r**4 - 56*r**3 - 128*r**2 = 0?
-2, 0, 16
Suppose 35*d**2/2 - 125*d + 35/2 = 0. What is d?
1/7, 7
Solve -84*a**3 + 93*a**2 + 159*a - 18 = 0 for a.
-1, 3/28, 2
Factor -i**3 + 15*i**2.
-i**2*(i - 15)
Find y, given that 2*y**3/5 - 112*y**2/5 - 472*y/5 - 96 = 0.
-2, 60
Factor -2*k**2 - 44*k + 96.
-2*(k - 2)*(k + 24)
Factor -2*z**2/21 + 16*z/7 + 120/7.
-2*(z - 30)*(z + 6)/21
Factor 3*z**2 + 126*z + 960.
3*(z + 10)*(z + 32)
Factor 2*g**3/7 + 118*g**2/7 + 240*g - 1800/7.
2*(g - 1)*(g + 30)**2/7
Factor -20*t**3 - 34272*t**2 - 14675268*t + 5875592.
-4*(t + 857)**2*(5*t - 2)
Factor -5*k**3 + 40*k**2 - 80*k.
-5*k*(k - 4)**2
Factor -4*f**2/7 + 20*f/7 - 16/7.
-4*(f - 4)*(f - 1)/7
Determine z, given that 4*z**3 - 76*z**2 + 64*z + 144 = 0.
-1, 2, 18
Suppose 2*m**3/3 - 52*m**2 + 730*m/3 = 0. Calculate m.
0, 5, 73
Suppose -2*q**5/7 + 12*q**4/7 + 6*q**3/7 - 32*q**2/7 - 24*q/7 = 0. What is q?
-1, 0, 2, 6
Factor 2*r**4 + 16*r**3 - 54*r**2 - 148*r - 80.
2*(r - 4)*(r + 1)**2*(r + 10)
Solve 5*h**2 - 140*h - 300 = 0.
-2, 30
Factor -2*p**3 + 44*p**2 - 82*p + 40.
-2*(p - 20)*(p - 1)**2
Solve -3*c**2 + 72*c = 0.
0, 24
Factor -a**2 - 36*a - 35.
-(a + 1)*(a + 35)
Factor a**4/4 + 4*a**3 + 41*a**2/4 + 13*a/2.
a*(a + 1)*(a + 2)*(a + 13)/4
What is b in b**4 + 121*b**3/4 - 673*b**2/4 + 278*b - 141 = 0?
-141/4, 1, 2
Solve -b**4/7 + 11*b**3/7 + 13*b**2/7 - 11*b/7 - 12/7 = 0.
-1, 1, 12
Factor -4*p**2 + 36*p - 80.
-4*(p - 5)*(p - 4)
Find k, given that k**3/4 - 9*k**2/4 + 6*k - 5 = 0.
2, 5
Factor -294*l**2 + 200*l - 8/3.
-2*(3*l - 2)*(147*l - 2)/3
What is a in 4*a**4 - 12904*a**3 + 13880400*a**2 - 4983055000*a + 4969187500 = 0?
1, 1075
Factor 4*d**2 - 264*d + 4356.
4*(d - 33)**2
Factor d**2/7 - 278*d/7 + 19321/7.
(d - 139)**2/7
Determine d, given that -d**5 + 118*d**4 + 119*d**3 = 0.
-1, 0, 119
Factor -43350*m**2 - 680*m - 8/3.
-2*(255*m + 2)**2/3
Solve -4*p**3 + 60*p**2 + 472*p + 672 = 0.
-4, -2, 21
Solve -3*p**2/4 - 87*p/4 + 45/2 = 0.
-30, 1
Factor g**2 - 102*g - 103.
(g - 103)*(g + 1)
Factor u**3/7 + 16*u**2/7 - u/7 - 16/7.
(u - 1)*(u + 1)*(u + 16)/7
Suppose -i**3/4 + 3*i**2/2 - 5*i/4 = 0. What is i?
0, 1, 5
Factor -2*g**5/7 + 24*g**4/7 - 60*g**3/7 + 8*g**2 - 18*g/7.
-2*g*(g - 9)*(g - 1)**3/7
Determine q, given that 3*q**5 + 230*q**4 - 791*q**3 + 718*q**2 - 160*q = 0.
-80, 0, 1/3, 1, 2
Factor 2*q**3/3 + 23*q**2/3 - 41*q/3 - 26/3.
(q - 2)*(q + 13)*(2*q + 1)/3
Find d, given that -5*d**2 - 15*d - 10 = 0.
-2, -1
Factor s**3/2 - 19*s**2/2 - 100*s - 216.
(s - 27)*(s + 4)**2/2
Determine f so that f**2/7 - 172*f/7 + 7396/7 = 0.
86
Suppose 100*d**5 + 4320*d**4 + 4996*d**3 - 1896*d**2 - 2000*d + 672 = 0. Calculate d.
-42, -1, 2/5
Factor -2*y**5 + 22*y**4 - 20*y**3.
-2*y**3*(y - 10)*(y - 1)
Suppose 3*u**2 + 306*u - 309 = 0. Calculate u.
-103, 1
Factor -2*x**3/9 - 746*x**2/9 - 244*x/3 + 496.
-2*(x - 2)*(x + 3)*(x + 372)/9
Factor 8*p**5/9 - 88*p**4/9 + 82*p**3/9 - 20*p**2/9.
2*p**2*(p - 10)*(2*p - 1)**2/9
Factor 45*b**3 - 129*b**2 + 72*b + 12.
3*(b - 2)*(b - 1)*(15*b + 2)
Let -8*i**4/17 + 642*i**3/17 - 12960*i**2/17 + 3200*i/17 = 0. Calculate i.
0, 1/4, 40
Factor 2*n**5 + 2*n**4 - 2*n**3 - 2*n**2.
2*n**2*(n - 1)*(n + 1)**2
Suppose z**3/10 + 11*z**2/10 + 13*z/5 + 8/5 = 0. What is z?
-8, -2, -1
Factor 2*l**2/17 - 58*l/17 + 56/17.
2*(l - 28)*(l - 1)/17
Determine n, given that 2*n**4/7 + 4*n**3 + 26*n**2/7 = 0.
-13, -1, 0
Solve -3*b**2/4 + 1887*b/4 - 1881/2 = 0 for b.
2, 627
Solve -5*j**3 - 1040*j**2 - 56100*j - 208080 = 0.
-102, -4
Factor k**3 - 6*k**2 - 9*k + 14.
(k - 7)*(k - 1)*(k + 2)
What is v in 3*v**4 + 36*v**3 + 105*v**2 + 72*v = 0?
-8, -3, -1, 0
Factor o**3/4 + 9*o**2/2 - o/4 - 9/2.
(o - 1)*(o + 1)*(o + 18)/4
Factor 2*d**3/5 - 14*d/5 + 12/5.
2*(d - 2)*(d - 1)*(d + 3)/5
Factor -5*k**4 + 100*k**3 - 640*k**2 + 1520*k - 1200.
-5*(k - 10)*(k - 6)*(k - 2)**2
Let -6*f**4 - 124*f**3 + 42*f**2 = 0. Calculate f.
-21, 0, 1/3
Solve 3*z**5 + 167*z**4 + 101*z**3 - 495*z**2 + 4*z + 220 = 0 for z.
-55, -2, -2/3, 1
Factor -b**4/4 + 3*b**2 + 4*b.
-b*(b - 4)*(b + 2)**2/4
Find r such that -27*r**4 - 141*r**3 - 3*r**2 + 141*r + 30 = 0.
-5, -1, -2/9, 1
Factor -2*o**2 + 226*o + 228.
-2*(o - 114)*(o + 1)
Factor -j**3 - 16*j**2.
-j**2*(j + 16)
What is b in -3*b**4 - 1356*b**3 - 153228*b**2 = 0?
-226, 0
Factor t**4 - 12*t**3/5 + 9*t**2/5 - 2*t/5.
t*(t - 1)**2*(5*t - 2)/5
Let 3*d**3/7 - 150*d**2/7 + 2451*d/7 - 12996/7 = 0. Calculate d.
12, 19
Let -r**3/3 - 342*r**2 + 1027*r/3 = 0. What is r?
-1027, 0, 1
Solve -24*y**3 - 22*y**2 = 0 for y.
-11/12, 0
Let -452*w**2 - 416*w + 36 = 0. What is w?
-1, 9/113
Factor l**4 - 420*l**3 + 44100*l**2.
l**2*(l - 210)**2
Factor 2*y**2 + 1196*y.
2*y*(y + 598)
Solve -4*g**2/9 - 580*g/9 + 392/3 = 0 for g.
-147, 2
Factor 2*p**4 + 20*p**3 - 6*p**2 - 64*p - 40.
2*(p - 2)*(p + 1)**2*(p + 10)
Factor 5*i**4 - 430*i**3 + 10065*i**2 - 35260*i + 33620.
5*(i - 41)**2*(i - 2)**2
Factor 4*g**5/3 + 1580*g**4/3 + 209080*g**3/3 + 9405800*g**2/3 + 18190660*g/3 + 8992364/3.
4*(g + 1)**2*(g + 131)**3/3
What is h in 3*h**2 + 252*h - 516 = 0?
-86, 2
Factor -4*f**2 - 600*f.
-4*f*(f + 150)
Factor x**3/3 - 232*x**2 + 40828*x - 478864/3.
(x - 346)**2*(x - 4)/3
Determine h, given that -h**2/2 - 6*h - 18 = 0.
-6
Determine b so that -4*b**2 - 408*b - 10404 = 0.
-51
Factor 2*y**2/13 + 74*y/13.
2*y*(y + 37)/13
Let -2*d**3/9 + 8*d**2/9 + 10*d/9 = 0. Calculate d.
-1, 0, 5
Factor -2*q**2 - 62*q + 1260.
-2*(q - 14)*(q + 45)
Find p such that -p**2 + 2*p + 224 = 0.
-14, 16
Factor -243*n**3/4 + n**2/2.
-n**2*(243*n - 2)/4
Factor -3*p**2/4 - 885*p/4.
-3*p*(p + 295)/4
Factor 3*c**4 + 117*c**3 + 330*c**2