- 2)*(d + 43)
Solve 3*b**3 - 15*b**2 + 24*b - 12 = 0 for b.
1, 2
Factor x**2/4 + 833*x + 693889.
(x + 1666)**2/4
Factor -l**3/2 + 15*l**2/2 - 13*l.
-l*(l - 13)*(l - 2)/2
Solve -4*s**3 + 64*s = 0.
-4, 0, 4
Solve -3*f**2 - 1428*f - 169932 = 0.
-238
Solve 16*a**5 + 120*a**4 + 209*a**3 + 32*a**2 - 63*a + 10 = 0.
-5, -2, -1, 1/4
Factor 2*d**5/9 + 4*d**4/3 + 8*d**3/3 + 16*d**2/9.
2*d**2*(d + 2)**3/9
Let 5*a**4/4 - 6295*a**3/2 + 7912805*a**2/4 + 3965850*a + 1984500 = 0. Calculate a.
-1, 1260
Factor -2*w**2/7 + 710*w/7.
-2*w*(w - 355)/7
What is h in h**5/10 - 9*h**4/10 + 3*h**3 - 23*h**2/5 + 33*h/10 - 9/10 = 0?
1, 3
Determine h so that -4*h**2 - 432*h - 11664 = 0.
-54
Factor y**5/9 + y**4 + 26*y**3/9 + 8*y**2/3.
y**2*(y + 2)*(y + 3)*(y + 4)/9
Solve 5*f**2 - 790*f + 9425 = 0 for f.
13, 145
Factor -2*f**2 - 14*f + 16.
-2*(f - 1)*(f + 8)
Factor 4*a**3 + 64*a**2 + 208*a + 192.
4*(a + 2)**2*(a + 12)
Factor -c**4/6 + 197*c**3/6 + 33*c**2.
-c**2*(c - 198)*(c + 1)/6
Factor 3*i**2 + 165*i - 342.
3*(i - 2)*(i + 57)
Factor 2*s**3/19 + 36*s**2/19.
2*s**2*(s + 18)/19
Suppose -j**2/9 - 3*j - 50/9 = 0. Calculate j.
-25, -2
Factor -3*u**3 + 93*u**2 + 3*u - 93.
-3*(u - 31)*(u - 1)*(u + 1)
Factor -5*i**2 - 70*i - 65.
-5*(i + 1)*(i + 13)
What is h in -2*h**4 + 52*h**3 - 82*h**2 - 328*h - 192 = 0?
-1, 4, 24
Factor 5*t**4 - 920*t**3 + 63480*t**2 - 1946720*t + 22387280.
5*(t - 46)**4
Determine d so that -3*d**4/4 + 51*d**2/4 - 12 = 0.
-4, -1, 1, 4
Factor 4*a**5 + 104*a**4 - 224*a**3.
4*a**3*(a - 2)*(a + 28)
Factor -4*w**4 + 4*w**3 + 4*w**2 - 4*w.
-4*w*(w - 1)**2*(w + 1)
Factor 5*i**4 + 105*i**3 + 190*i**2.
5*i**2*(i + 2)*(i + 19)
Suppose 5*c**2 + 110*c + 560 = 0. What is c?
-14, -8
Factor -k**4/3 - k**3/3 + k**2 + 5*k/3 + 2/3.
-(k - 2)*(k + 1)**3/3
Factor -2*f**2/7 + 18*f/7 - 16/7.
-2*(f - 8)*(f - 1)/7
Solve -2*h**2 - 1156*h + 2320 = 0.
-580, 2
Factor 12*f**2 + 40*f + 12.
4*(f + 3)*(3*f + 1)
What is t in 4*t**4 - 16*t**3 - 48*t**2 = 0?
-2, 0, 6
Determine t so that 4*t**3/5 + 34*t**2/5 - 156*t/5 + 144/5 = 0.
-12, 3/2, 2
Factor -k**2/7 + 102*k/7 - 2601/7.
-(k - 51)**2/7
Factor -6*h**2/5 - 687*h/5 + 792.
-3*(h + 120)*(2*h - 11)/5
Determine f so that -2*f**2/17 + 2268*f/17 - 4528/17 = 0.
2, 1132
Solve -b**3/2 - 5*b**2/2 + 28*b + 30 = 0 for b.
-10, -1, 6
Factor 2*g**2/11 - 368*g/11 + 16928/11.
2*(g - 92)**2/11
Solve 3*b**3 - 51*b**2 + 192*b - 144 = 0.
1, 4, 12
Suppose -4*l**5 - 32*l**4 - 52*l**3 + 88*l**2 + 272*l + 160 = 0. Calculate l.
-5, -2, -1, 2
Determine r so that -15*r**4 - 231*r**3 - 495*r**2 - 357*r - 78 = 0.
-13, -1, -2/5
Let 5*w**3 + 770*w**2 - 775*w = 0. Calculate w.
-155, 0, 1
Let -4*u**4 + 8*u**3 + 28*u**2 - 80*u + 48 = 0. Calculate u.
-3, 1, 2
Find w such that -3*w**5 - 63*w**4 - 459*w**3 - 1365*w**2 - 1350*w = 0.
-9, -5, -2, 0
Suppose -n**4 - 133*n**3 - 393*n**2 - 391*n - 130 = 0. What is n?
-130, -1
Suppose -2*t**5/11 + 36*t**4/11 - 24*t**3/11 - 164*t**2/11 - 102*t/11 = 0. Calculate t.
-1, 0, 3, 17
Let 18*m**2 + 43*m + 14 = 0. What is m?
-2, -7/18
Find v, given that v**3 - v**2/4 - 23*v/2 - 14 = 0.
-2, -7/4, 4
Factor l**2/6 - 43*l/6 - 23.
(l - 46)*(l + 3)/6
Factor p**2 + 174*p + 7569.
(p + 87)**2
Solve -2*f**3/17 + 6*f**2/17 = 0 for f.
0, 3
Suppose -6*c**2/5 - 3564*c/5 - 529254/5 = 0. Calculate c.
-297
Factor -4*q**2/7 + 4024*q - 7084252.
-4*(q - 3521)**2/7
Solve -s**4 - 5*s**3 - 8*s**2 - 4*s = 0 for s.
-2, -1, 0
Factor 2*f**2/15 - 8/15.
2*(f - 2)*(f + 2)/15
Let -k**4/6 + 178*k**3/3 - 16019*k**2/3 + 10502*k - 10443/2 = 0. Calculate k.
1, 177
Let -5*o**5 + 50*o**4 + 115*o**3 + 60*o**2 = 0. What is o?
-1, 0, 12
Determine c so that -12*c**2 + 524*c - 344 = 0.
2/3, 43
Solve 2*j**2/7 - 1132*j/7 + 160178/7 = 0.
283
Find v, given that -5*v**2/3 + 40*v/3 + 100/3 = 0.
-2, 10
Let -r**4/2 + 59*r**3/2 - 419*r**2 - 510*r + 900 = 0. Calculate r.
-2, 1, 30
Determine j, given that -j**3/3 - 61*j**2/3 + 108*j - 132 = 0.
-66, 2, 3
Factor m**5/4 - m**4/2 - 3*m**3 + 19*m**2/2 - 37*m/4 + 3.
(m - 3)*(m - 1)**3*(m + 4)/4
Let -c**2/8 + 2*c + 10 = 0. Calculate c.
-4, 20
Suppose -3*r**4/2 - 27*r**3 - 24*r**2 + 27*r + 51/2 = 0. Calculate r.
-17, -1, 1
Determine l so that -7*l**4 - 327*l**3 + 773*l**2 - 537*l + 98 = 0.
-49, 2/7, 1
Find u such that -u**3 + 6354*u**2 - 10093329*u = 0.
0, 3177
Find n such that -n**2/4 - 45*n/2 = 0.
-90, 0
Factor 2*q**5 - 34*q**4 + 60*q**3 + 4*q**2 - 62*q + 30.
2*(q - 15)*(q - 1)**3*(q + 1)
Let 2*g**3/11 - 128*g**2/11 - 538*g/11 - 408/11 = 0. What is g?
-3, -1, 68
Factor -3*u**3 - 114*u**2 - 219*u - 108.
-3*(u + 1)**2*(u + 36)
Factor -2*r**4 - 22*r**3 - 48*r**2 + 8*r + 64.
-2*(r - 1)*(r + 2)**2*(r + 8)
Find s, given that -s**3/5 + 11*s**2/5 - 23*s/5 - 7 = 0.
-1, 5, 7
Suppose 3*o**5 - 150*o**4 + 138*o**3 + 444*o**2 - 141*o - 294 = 0. Calculate o.
-1, 1, 2, 49
Find r such that -r**2/6 + 199*r/3 - 39601/6 = 0.
199
Suppose -9*l**4/7 - 1173*l**3 - 2497968*l**2/7 - 253681920*l/7 - 84283392/7 = 0. Calculate l.
-304, -1/3
Solve 3*r**2 - 1566*r + 204363 = 0 for r.
261
Determine w so that w**3 + 13*w**2 - w - 13 = 0.
-13, -1, 1
Factor -3*m**3/4 - 2967*m**2/4 - 183768*m - 183027.
-3*(m + 1)*(m + 494)**2/4
Find q, given that -689526*q**2/5 - 4068*q/5 - 6/5 = 0.
-1/339
Determine f, given that f**3/2 - 73*f**2/2 + 173*f - 204 = 0.
2, 3, 68
Factor -3*k**4 + 216*k**3 + 666*k**2 + 672*k + 225.
-3*(k - 75)*(k + 1)**3
Factor -5*a**3 + 125*a**2 - 915*a + 1755.
-5*(a - 13)*(a - 9)*(a - 3)
Factor -s**3 + 218*s**2 - 859*s + 642.
-(s - 214)*(s - 3)*(s - 1)
Let 2*f**2/21 - 68*f/21 - 10/3 = 0. Calculate f.
-1, 35
Let -5*g**5 - 55*g**4 - 175*g**3 - 125*g**2 = 0. What is g?
-5, -1, 0
Let -5*i**5 + 125*i**4 - 935*i**3 + 1795*i**2 + 440*i - 2420 = 0. Calculate i.
-1, 2, 11
Solve 4*q**4/5 - 44*q**3/5 + 76*q**2/5 - 36*q/5 = 0 for q.
0, 1, 9
Solve 2*n**5/7 + 2*n**4/7 - 24*n**3/7 - 8*n**2 - 32*n/7 = 0 for n.
-2, -1, 0, 4
Find y such that 2*y**5/13 - 32*y**4/13 + 146*y**3/13 - 36*y**2/13 - 648*y/13 - 432/13 = 0.
-1, 6
Factor z**2/10 + z/2 - 12/5.
(z - 3)*(z + 8)/10
Let u**2/5 + 166*u/5 - 507/5 = 0. What is u?
-169, 3
Determine d, given that d**2 - 7*d - 120 = 0.
-8, 15
Factor -2*z**2/5 - 92*z/5.
-2*z*(z + 46)/5
Factor x**5 - 19*x**3 + 34*x**2 + 12*x - 40.
(x - 2)**3*(x + 1)*(x + 5)
Factor 28*n**3 - 240*n**2 + 548*n - 240.
4*(n - 5)*(n - 3)*(7*n - 4)
Determine w so that 9*w**5 - 69*w**4 + 123*w**3 + 9*w**2 - 132*w + 60 = 0.
-1, 2/3, 1, 2, 5
Determine g so that 882*g**5 - 6888*g**4 - 33970*g**3 + 32528*g**2 + 7096*g + 352 = 0.
-4, -2/21, 1, 11
Determine o, given that -6*o**5/7 - 9*o**4/7 + 117*o**3/7 + 60*o**2/7 = 0.
-5, -1/2, 0, 4
Solve 12*j**5/5 - 3938*j**4/5 + 8492*j**3/5 - 5218*j**2/5 + 652*j/5 = 0 for j.
0, 1/6, 1, 326
Factor 3*s**3/7 - 498*s**2/7 + 2880*s + 6048.
3*(s - 84)**2*(s + 2)/7
Factor 4*v**3 + 4*v**2 - 4*v - 4.
4*(v - 1)*(v + 1)**2
Factor 2*t**2/7 - 1272*t/7 + 202248/7.
2*(t - 318)**2/7
Factor -t**4/2 + 3*t**3/2.
-t**3*(t - 3)/2
Factor -q**3/3 - 82*q**2/3 + 520*q/3 - 704/3.
-(q - 4)*(q - 2)*(q + 88)/3
Suppose 10*l**4/9 - 14*l**3/9 - 46*l**2/9 - 10*l/9 + 4/3 = 0. Calculate l.
-1, 2/5, 3
Find w, given that 18*w**4/11 + 30*w**3/11 - 526*w**2/11 - 358*w/11 - 60/11 = 0.
-6, -1/3, 5
Let -2*p**2/19 - 14*p/19 + 120/19 = 0. What is p?
-12, 5
Determine j so that 8*j**5/7 + 22*j**4/7 - 46*j**3/7 - 2*j**2 + 38*j/7 - 8/7 = 0.
-4, -1, 1/4, 1
Factor 3*c**5 + 120*c**4 + 231*c**3 + 114*c**2.
3*c**2*(c + 1)**2*(c + 38)
Suppose -f**3/3 - f**2 + 64*f/3 - 20 = 0. Calculate f.
-10, 1, 6
Factor 2*c**3/7 - 10*c**2/7 + 8*c/7.
2*c*(c - 4)*(c - 1)/7
Factor k**2/4 + 445*k + 198025.
(k + 890)**2/4
What is b in 4*b**3 - 120*b**2 + 1152*b - 3456 = 0?
6, 12
Factor -f**5 + 2*f**4 + 8*f**3 + 2*f**2 - 7*f - 4.
-(f - 4)*(f - 1)*(f + 1)**3
Solve -k**4/2 + 149*k**3/2 - 975*k**2 + 4086*k - 4860 = 0 for k.
2, 6, 135
Factor -2*s**3/13 + 14*s**2/13 + 16*s + 480/13.
-2*(s - 15)*(s + 4)**2/13
Find q, given that 3*q**3/4 - 336*q**2 - 3*q/4 + 336 = 0.
-1, 1, 448
Factor x**2/2 - 4*x - 10.
(x - 10)*(x + 2)/2
Solve -9*q**3 - 6054*q**2 - 4033*q - 672 = 0 for q.
-672, -1/3
Factor -y**4/9 - 446*y**3/9 - 16724*y**2/3 - 10952*y.
-y*(y + 2)*(y + 222)**2/9
Find c such that -4*c**2 + 3496*c = 0.
0, 874
Factor 2*y**3 + 7*y**2 + 7*y + 2.
(y + 1)*(y + 2)*(2*y + 1)
Solve -i**2/3 + 77*i/3 + 158/3 = 0.
-2, 79
Factor 5*f**2 - 2640*f + 348