h, given that -4*h**2/7 + 68*h/7 + 72/7 = 0.
-1, 18
Factor 15*x**4 + 170*x**3 + 640*x**2 + 870*x + 225.
5*(x + 3)**2*(x + 5)*(3*x + 1)
Determine h so that h**2/2 - 5*h/2 - 33 = 0.
-6, 11
Find w, given that -w**2/7 - 3*w/7 + 18/7 = 0.
-6, 3
Find b, given that b**4/8 + 15303*b**3/8 + 78060603*b**2/8 + 132729045301*b/8 = 0.
-5101, 0
Solve -3*d**5/2 - 3*d**4/2 + 3*d**3 = 0 for d.
-2, 0, 1
Let -z**2/7 + 25*z/7 - 100/7 = 0. Calculate z.
5, 20
Determine r, given that -4*r**2 + 1088*r - 73984 = 0.
136
Suppose -10*n**3/3 + 2*n**2/3 + 74*n/3 - 22 = 0. What is n?
-3, 1, 11/5
Let -s**2 + 868*s - 188356 = 0. Calculate s.
434
Factor -5*q**2 - 520*q + 1605.
-5*(q - 3)*(q + 107)
Factor a**2/7 - 320*a/7 - 321/7.
(a - 321)*(a + 1)/7
Let -300*m**2 - 4*m = 0. Calculate m.
-1/75, 0
Factor 4*b**4 - 8*b**3 - 12*b**2.
4*b**2*(b - 3)*(b + 1)
What is j in -j**5/2 + 3*j**4 - 2*j**3 - 3*j**2 + 5*j/2 = 0?
-1, 0, 1, 5
Suppose 6*j**2 - 15*j + 9 = 0. Calculate j.
1, 3/2
Let 7*d**4/2 - 145*d**3/2 + 399*d**2 - 230*d - 100 = 0. Calculate d.
-2/7, 1, 10
Suppose -q**2 - 531*q - 530 = 0. What is q?
-530, -1
Suppose 5*t**3 - 30*t**2 - 180*t - 200 = 0. What is t?
-2, 10
Let -4*p**2 - 4696*p = 0. Calculate p.
-1174, 0
Suppose 2*n**5/5 + 12*n**4/5 + 2*n**3 - 8*n**2 - 72*n/5 - 32/5 = 0. What is n?
-4, -2, -1, 2
Factor 4*h**3/3 + 4872*h**2 + 5934096*h + 2409242976.
4*(h + 1218)**3/3
Factor 2*d**2/7 - 1672*d/7 - 5034/7.
2*(d - 839)*(d + 3)/7
Find p such that -93*p**4 - 564*p**3 - 1152*p**2 - 816*p - 48 = 0.
-2, -2/31
Let h**5 + 7*h**4 - 9*h**3 - 7*h**2 + 8*h = 0. What is h?
-8, -1, 0, 1
Determine q, given that -2*q**5 + 154*q**4 - 292*q**3 - 604*q**2 + 294*q + 450 = 0.
-1, 1, 3, 75
Find p, given that 2*p**3/9 - 44*p**2/9 + 74*p/3 - 20 = 0.
1, 6, 15
Determine g so that -3*g**3 + 75*g**2 - 282*g - 360 = 0.
-1, 6, 20
Factor -4*t**5 + 72*t**4 - 132*t**3 + 64*t**2.
-4*t**2*(t - 16)*(t - 1)**2
Factor 2*v**3 - 66*v**2 + 468*v - 864.
2*(v - 24)*(v - 6)*(v - 3)
Factor 2*d**2/13 - 924*d/13 + 106722/13.
2*(d - 231)**2/13
Factor 3*x**4 + 273*x**3 + 8370*x**2 + 89100*x + 81000.
3*(x + 1)*(x + 30)**3
Factor 2*j**4 + 122*j**3 + 348*j**2 - 8*j - 464.
2*(j - 1)*(j + 2)**2*(j + 58)
Factor 2*s**4/3 - 202*s**3/3 + 5200*s**2/3 - 5000*s/3.
2*s*(s - 50)**2*(s - 1)/3
Let -3*c**3/4 + 63*c**2/4 - 117*c/4 - 2535/4 = 0. Calculate c.
-5, 13
Factor -4*a**4 - 208*a**3 - 1428*a**2 - 680*a + 8800.
-4*(a - 2)*(a + 5)**2*(a + 44)
Solve -2*t**4/15 + 86*t**3 + 1294*t**2/5 + 3886*t/15 + 432/5 = 0.
-1, 648
Factor p**3/2 - 63*p**2/2 - 32*p.
p*(p - 64)*(p + 1)/2
Factor b**2/4 + 13*b/2 + 42.
(b + 12)*(b + 14)/4
Factor 5*w**3 + 3790*w**2 - 7595*w + 3800.
5*(w - 1)**2*(w + 760)
Find z such that -21*z**3/5 - 1548*z**2/5 - 516*z + 864/5 = 0.
-72, -2, 2/7
Determine s, given that s**2 - 2*s + 1 = 0.
1
Find w such that w**4/6 - 16*w**3/3 + 13*w**2/3 + 76*w/3 + 31/2 = 0.
-1, 3, 31
Determine z, given that -32*z**3 - 84*z**2 + 36*z = 0.
-3, 0, 3/8
Factor -35*j**3/2 + 225*j**2 - 1405*j/2 - 105.
-5*(j - 7)*(j - 6)*(7*j + 1)/2
Suppose 2*t**3/3 + 22*t**2/3 + 16*t/3 - 40/3 = 0. What is t?
-10, -2, 1
Let 3*m**4 - 21*m**3 + 27*m**2 + 21*m - 30 = 0. Calculate m.
-1, 1, 2, 5
Factor -4*n**3 - 392*n**2 - 9200*n + 20000.
-4*(n - 2)*(n + 50)**2
Let w**3 + 5*w**2 - 24*w = 0. What is w?
-8, 0, 3
Find x, given that x**5/2 + 5*x**4 + 2*x**3 - 68*x**2 - 176*x - 128 = 0.
-8, -2, 4
Solve -2*l**4 + 20*l**3 - 46*l**2 - 20*l + 48 = 0.
-1, 1, 4, 6
Factor w**4/3 + 2*w**3/3 - 12*w**2 - 54*w - 63.
(w - 7)*(w + 3)**3/3
What is p in -5*p**4 - 10*p**3 = 0?
-2, 0
Suppose -8*z**4/7 - 184*z**3/7 - 946*z**2/7 - 116*z - 192/7 = 0. Calculate z.
-16, -6, -1/2
Solve 2*w**4 - 4*w**3 - 8*w**2 + 4*w + 6 = 0 for w.
-1, 1, 3
Determine d, given that 5*d**3 - 60*d**2 - 215*d - 150 = 0.
-2, -1, 15
Solve 2*h**4/5 + 296*h**3/5 + 16328*h**2/5 + 397824*h/5 + 3612672/5 = 0 for h.
-42, -32
Factor -l**2 - 14*l - 48.
-(l + 6)*(l + 8)
Factor -2*t**3 - 166*t**2 - 3360*t + 3528.
-2*(t - 1)*(t + 42)**2
Factor 675*r**2 + 4410*r + 7203.
3*(15*r + 49)**2
Factor 3*f**4/7 - 36*f**3/7 + 54*f**2/7 + 60*f - 63.
3*(f - 7)**2*(f - 1)*(f + 3)/7
Determine z so that z**3/4 - 5*z**2 + 7*z/4 + 57 = 0.
-3, 4, 19
Factor 5*b**2 + 775*b - 1570.
5*(b - 2)*(b + 157)
Find g, given that 9*g**5/4 - 183*g**4/4 + 58*g**3 - 19*g**2 = 0.
0, 2/3, 19
Factor x**4 + 18*x**3 + 80*x**2 - 18*x - 81.
(x - 1)*(x + 1)*(x + 9)**2
Determine w so that -2*w**2/5 + 254*w/5 + 156 = 0.
-3, 130
Factor 2*p**4 + 636*p**3 + 50562*p**2.
2*p**2*(p + 159)**2
Let y**5/5 + 11*y**4/5 - 3*y**3/5 - 7*y**2 - 22*y/5 = 0. What is y?
-11, -1, 0, 2
Determine y so that -3*y**5/7 + 6*y**4/7 + 9*y**3/7 - 12*y**2/7 - 12*y/7 = 0.
-1, 0, 2
Factor 2*a**2 - 12100*a + 18301250.
2*(a - 3025)**2
Factor -2*b**5/7 - 4*b**4/7 + 8*b**3/7 + 16*b**2/7.
-2*b**2*(b - 2)*(b + 2)**2/7
Factor l**3/9 + 437*l**2/9 + 436*l/9.
l*(l + 1)*(l + 436)/9
Suppose -2*h**3/5 - 46*h**2/5 - 8*h + 88/5 = 0. Calculate h.
-22, -2, 1
Find u such that u**4/3 + 11*u**3/3 + 35*u**2/3 + 25*u/3 = 0.
-5, -1, 0
Factor m**4/2 - 19*m**3/4 + 25*m**2/4 - 2*m.
m*(m - 8)*(m - 1)*(2*m - 1)/4
Suppose f**3 - 7*f**2 - 69*f - 117 = 0. Calculate f.
-3, 13
Solve w**3/6 - w/6 = 0.
-1, 0, 1
Factor -t**5/2 - t**4 + 9*t**3 - 16*t**2 + 23*t/2 - 3.
-(t - 1)**4*(t + 6)/2
Factor 4*r**2 + 184*r + 180.
4*(r + 1)*(r + 45)
Factor -4*j**5/3 - 76*j**4 - 1192*j**3 - 9400*j**2/3 - 2988*j - 972.
-4*(j + 1)**3*(j + 27)**2/3
Factor -o**3/2 + 5*o**2/2 + 33*o/2 + 27/2.
-(o - 9)*(o + 1)*(o + 3)/2
Factor m**2 - 268*m + 17956.
(m - 134)**2
Find o, given that 8*o**4/9 - 34*o**3/9 - 40*o**2/3 + 544*o/9 - 128/9 = 0.
-4, 1/4, 4
Let -j**3 + 639*j**2 + 642*j - 1280 = 0. Calculate j.
-2, 1, 640
Factor x**3/5 + 246*x**2/5.
x**2*(x + 246)/5
Find c, given that -3*c**3 - 12*c**2 + 15*c = 0.
-5, 0, 1
Suppose -d**5 - 11*d**4 - 17*d**3 + 11*d**2 + 18*d = 0. What is d?
-9, -2, -1, 0, 1
Factor -2*a**4 - 76*a**3 - 64*a**2 + 364*a - 222.
-2*(a - 1)**2*(a + 3)*(a + 37)
Let z**5/2 - z**4/2 - 27*z**3/2 - 27*z**2/2 + 27*z = 0. Calculate z.
-3, 0, 1, 6
Solve -35*o**3/2 - 65*o**2 + 230*o - 60 = 0 for o.
-6, 2/7, 2
Factor 3*v**2/4 + 45*v/4 - 81/2.
3*(v - 3)*(v + 18)/4
Solve v**5 - 2*v**4 - 2*v**3 + 4*v**2 + v - 2 = 0 for v.
-1, 1, 2
Factor 4*s**3 + 384*s**2 - 2044*s - 2424.
4*(s - 6)*(s + 1)*(s + 101)
Factor -s**4 + 17*s**3 + 95*s**2 - 237*s + 126.
-(s - 21)*(s - 1)**2*(s + 6)
Factor 2*o**2/7 + 5828*o/7 + 4245698/7.
2*(o + 1457)**2/7
Factor c**3/2 - 9*c**2/4 + c.
c*(c - 4)*(2*c - 1)/4
Factor -d**2/7 - 33*d/7 + 148/7.
-(d - 4)*(d + 37)/7
Let -7*z**2 - 85*z/3 - 4/3 = 0. Calculate z.
-4, -1/21
Factor 3*i**4/7 + 5*i**3 - 12*i**2/7 - 768*i/7 + 256/7.
(i - 4)*(i + 8)**2*(3*i - 1)/7
Factor j**2/3 + 506*j/3 - 169.
(j - 1)*(j + 507)/3
Let 27*n**3 + 453*n**2 + 330*n - 96 = 0. Calculate n.
-16, -1, 2/9
Suppose -4*c**5 - 984*c**4 - 79688*c**3 - 2041136*c**2 + 6696108*c - 4574296 = 0. What is c?
-83, 1, 2
Solve -u**3 - 10*u**2 - 16*u = 0.
-8, -2, 0
Factor -2*b**2/11 + 2*b - 20/11.
-2*(b - 10)*(b - 1)/11
Factor p**5 + p**4 - 6*p**3 - 14*p**2 - 11*p - 3.
(p - 3)*(p + 1)**4
Find o, given that -7*o**4 - 30*o**3 - 43*o**2 - 24*o - 4 = 0.
-2, -1, -2/7
Determine z so that -z**5 + 20*z**4 - 37*z**3 + 18*z**2 = 0.
0, 1, 18
Factor -a**3 - 269*a**2 - 4599*a - 20331.
-(a + 9)**2*(a + 251)
Factor 4*i**5 - 8*i**4 + 8*i**2 - 4*i.
4*i*(i - 1)**3*(i + 1)
Suppose 5*b**3 + 30*b**2 + 15*b - 50 = 0. What is b?
-5, -2, 1
Let -175*u**2/4 + 2977*u/4 - 17/2 = 0. Calculate u.
2/175, 17
Factor 3*f**4 - 96*f**3 + 171*f**2 + 270*f.
3*f*(f - 30)*(f - 3)*(f + 1)
Solve h**3/5 + 6*h**2/5 + 9*h/5 = 0.
-3, 0
Factor f**4/2 + 1324*f**3 + 1314732*f**2 + 580235056*f + 96028901768.
(f + 662)**4/2
Let 3*k**3/4 + 69*k**2/2 - 285*k/4 + 36 = 0. What is k?
-48, 1
Factor 3*q**3/2 + 45*q**2/8 - 81*q/8 - 57/4.
3*(q - 2)*(q + 1)*(4*q + 19)/8
Factor b**2/6 - 13*b/6 + 2.
(b - 12)*(b - 1)/6
Find h, given that 882*h**3 - 50106*h**2 - 9568*h - 456 = 0.
-2/21, 57
Factor -2*d**4/5 + 344*d**3/5 - 22188*d**2/5 + 636056*d/5 - 6837602/5.
-2*(d - 43)**4/5
Factor -4*b**3 + 36*b**2 + 660*b + 1900.
-4*(b - 19)*(b + 5)**2
Factor -b**5 - 4*b**4 - 4*b**3 + 2*b**2 + 5*b + 2.
-(b - 1)*(b + 1)**3*(b + 2)
Solve -85*z**3/2 - 395*z**2/2 + 330*z - 90 = 0.
-6, 6/17, 1
Determine h so that 5*h**2 + 1485*h = 0.
-297, 0
Determine q, given that -21*q