- 20 = 0 for s.
-2/5, -2/7
Factor 3*m**4/4 - 5*m**3 - 7*m**2/4.
m**2*(m - 7)*(3*m + 1)/4
Factor -z**4 - 24*z**3 + 26*z**2 + 24*z - 25.
-(z - 1)**2*(z + 1)*(z + 25)
Suppose -p**4/8 - 21*p**3/4 - 72*p**2 - 1411*p/4 - 4335/8 = 0. Calculate p.
-17, -5, -3
Factor 3*r**5 + 105*r**4 + 1065*r**3 + 2595*r**2 + 2400*r + 768.
3*(r + 1)**3*(r + 16)**2
Suppose -5*d**2 + 515*d - 2910 = 0. Calculate d.
6, 97
Factor 4*k**3 - 16*k**2 - 260*k - 528.
4*(k - 11)*(k + 3)*(k + 4)
Factor c**4/4 + 33*c**3/4 + 351*c**2/4 + 1067*c/4 - 363.
(c - 1)*(c + 11)**2*(c + 12)/4
Factor -b**4/2 - 17*b**3 - 154*b**2 - 343*b + 1029/2.
-(b - 1)*(b + 7)**2*(b + 21)/2
Factor 3*h**3 - 243*h**2 + 5265*h - 13689.
3*(h - 39)**2*(h - 3)
Determine m, given that -4*m**3 + 24*m**2 - 48*m + 32 = 0.
2
Factor 2*b**5 + 360*b**4 + 15464*b**3 - 66240*b**2 + 67712*b.
2*b*(b - 2)**2*(b + 92)**2
Factor 4*g**3/5 + 266*g**2/5 + 24*g - 792/5.
2*(g + 2)*(g + 66)*(2*g - 3)/5
Factor -3*u**3/4 + 9*u**2/2 - 15*u/4.
-3*u*(u - 5)*(u - 1)/4
Solve -2*g**3/5 + 192*g**2/5 - 4794*g/5 + 8836/5 = 0 for g.
2, 47
Suppose -2*w**2 - 22*w - 36 = 0. What is w?
-9, -2
Factor -j**2/2 - 395*j/2.
-j*(j + 395)/2
Let -3*n**4 + 78*n**3 - 75*n**2 = 0. Calculate n.
0, 1, 25
Factor 4*b**3 + 216*b**2 - 1420*b + 1200.
4*(b - 5)*(b - 1)*(b + 60)
Factor -b**4/3 + 35*b**3/3 - 33*b**2 + 97*b/3 - 32/3.
-(b - 32)*(b - 1)**3/3
Find k, given that 20*k**4 + 1528*k**3 + 30948*k**2 + 66896*k + 21904 = 0.
-37, -2, -2/5
Factor -2*p**2 - 328*p - 13448.
-2*(p + 82)**2
Find g, given that -4*g**4/9 - 2*g**3 - 8*g**2/3 - 8*g/9 = 0.
-2, -1/2, 0
Factor 3*z**5 - 204*z**4 - 852*z**3 - 864*z**2.
3*z**2*(z - 72)*(z + 2)**2
Factor 3*z**4 - 189*z**3 + 3069*z**2 - 2883*z.
3*z*(z - 31)**2*(z - 1)
Solve -2*o**4/3 - 70*o**3/3 + 146*o**2/3 - 74*o/3 = 0.
-37, 0, 1
Factor -c**3/5 + 49*c**2/5 - 603*c/5 + 279.
-(c - 31)*(c - 15)*(c - 3)/5
Suppose 42*n**2 - 87*n + 45 = 0. Calculate n.
1, 15/14
Factor 2*v**4 + 12*v**3 - 160*v**2 + 276*v - 130.
2*(v - 5)*(v - 1)**2*(v + 13)
Let -x**2/7 - 89*x/7 - 858/7 = 0. Calculate x.
-78, -11
Solve 2*u**2/9 + 62*u/9 - 68/3 = 0 for u.
-34, 3
Factor -p**4 - 16*p**3 + 17*p**2.
-p**2*(p - 1)*(p + 17)
Suppose 21*s**3/5 + 102*s**2/5 - 21*s - 90 = 0. What is s?
-5, -2, 15/7
Let 2*g**4/3 + 34*g**3/3 + 64*g**2 + 424*g/3 + 320/3 = 0. What is g?
-8, -5, -2
Factor g**2 - 17*g.
g*(g - 17)
Determine s so that 24*s**4/5 + 2428*s**3/5 - 7036*s**2/5 + 3752*s/5 + 832/5 = 0.
-104, -1/6, 1, 2
Suppose -2*k**4/5 - 48*k**3/5 - 236*k**2/5 + 624*k/5 - 338/5 = 0. What is k?
-13, 1
Factor 5*x**2/3 - 940*x/3 + 44180/3.
5*(x - 94)**2/3
Factor -a**4/3 - 9*a**3 + 11*a**2 + 143*a/3 + 28.
-(a - 3)*(a + 1)**2*(a + 28)/3
Factor -a**2/7 + 2000*a/7 - 1000000/7.
-(a - 1000)**2/7
Solve -3*w**5 + 6*w**4 + 84*w**3 + 138*w**2 + 63*w = 0.
-3, -1, 0, 7
Suppose -2*g**3 - 26*g**2 - 80*g = 0. What is g?
-8, -5, 0
What is r in -28*r**5 - 204*r**4 - 420*r**3 - 20*r**2 + 528*r + 144 = 0?
-3, -2, -2/7, 1
Find o, given that 20*o**4 - 248*o**3 + 436*o**2 + 464*o - 240 = 0.
-1, 2/5, 3, 10
Determine w, given that w**5/5 + 21*w**4/5 + 24*w**3 + 20*w**2 = 0.
-10, -1, 0
Factor 9*h**3/8 + 3*h**2 + 21*h/8 + 3/4.
3*(h + 1)**2*(3*h + 2)/8
Find d such that d**5 - 6*d**4 + 2*d**3 + 16*d**2 - 3*d - 10 = 0.
-1, 1, 2, 5
Determine s, given that -10*s**5/7 + 18*s**4 - 552*s**3/7 + 928*s**2/7 - 384*s/7 = 0.
0, 3/5, 4
What is p in 5*p**3 + 15*p**2 = 0?
-3, 0
Factor -507*x**2 - 11700*x - 67500.
-3*(13*x + 150)**2
Factor -28*w**3 + 212*w**2 + 96*w.
-4*w*(w - 8)*(7*w + 3)
Determine f so that 3*f**4/5 - 12*f**3/5 - 36*f**2/5 + 96*f/5 + 192/5 = 0.
-2, 4
Factor -100*a**3 - 324*a**2 - 72*a.
-4*a*(a + 3)*(25*a + 6)
Suppose -t**5/4 + 25*t**3/4 + 15*t**2 + 9*t = 0. Calculate t.
-3, -2, -1, 0, 6
Determine v so that 3*v**3/4 - 447*v**2/4 - 225*v/2 = 0.
-1, 0, 150
Solve -571*g**4/3 - 190*g**3 + 572*g**2/3 + 190*g - 1/3 = 0 for g.
-1, 1/571, 1
Factor -21*g**3/2 + 19*g**2/2 + 4*g/3 - 2.
-(3*g - 2)**2*(7*g + 3)/6
Find j, given that 2*j**2 - 26*j + 24 = 0.
1, 12
Solve -a**5/3 + 170*a**4/3 - 670*a**3/3 + 1000*a**2/3 - 665*a/3 + 166/3 = 0.
1, 166
Factor 196*k**4 - 896*k**3 + 1248*k**2 - 512*k + 64.
4*(k - 2)**2*(7*k - 2)**2
Determine u, given that -u**5/9 - u**4/9 + 10*u**3/3 - 76*u**2/9 + 56*u/9 = 0.
-7, 0, 2
Factor -2*g**2 + 116*g - 432.
-2*(g - 54)*(g - 4)
Factor -4*l**3 + 10164*l**2 - 8608908*l + 2430581692.
-4*(l - 847)**3
Suppose 33*c**3 + 93*c**2 - 441*c - 405 = 0. Calculate c.
-5, -9/11, 3
What is y in 27*y**5 + 426*y**4 + 957*y**3 - 342*y**2 - 1380*y + 312 = 0?
-13, -2, 2/9, 1
Find o, given that 2*o**3 + 3*o**2 + o = 0.
-1, -1/2, 0
Suppose -5*u**5/3 + 1237*u**4/2 + 1678*u**3/3 - 989*u**2/2 - 1673*u/3 - 124 = 0. What is u?
-1, -1/2, -2/5, 1, 372
Determine p so that -p**2 - 7330*p - 13432225 = 0.
-3665
Factor 2*l**4/7 + 4*l**3/7 - 38*l**2/7 + 8*l - 24/7.
2*(l - 2)*(l - 1)**2*(l + 6)/7
Determine r, given that r**3/5 + 587*r**2/5 + 87591*r/5 + 84681 = 0.
-291, -5
Factor -x**4/9 + 103*x**3/9 - 497*x**2/9 + 689*x/9 - 98/3.
-(x - 98)*(x - 3)*(x - 1)**2/9
Factor 6*f**4 - 771*f**3/2 + 6240*f**2 - 1536*f.
3*f*(f - 32)**2*(4*f - 1)/2
Suppose v**5/3 - 29*v**4/3 + 194*v**3/3 + 254*v**2/3 - 65*v - 75 = 0. Calculate v.
-1, 1, 15
Find j, given that -2*j**4/7 - 34*j**3/7 + 158*j**2/7 - 206*j/7 + 12 = 0.
-21, 1, 2
Solve -5*r**5 + 19*r**4/3 + 335*r**3/3 + 505*r**2/3 + 80*r + 12 = 0.
-3, -1, -2/5, -1/3, 6
Solve 28*z**4 - 1184*z**3 - 7476*z**2 - 9864*z + 3456 = 0 for z.
-3, 2/7, 48
Solve -5*r**2 + 95*r - 240 = 0.
3, 16
Let 5*n**4 + 55*n**3 - 210*n**2 + 20*n + 280 = 0. What is n?
-14, -1, 2
Factor -v**5 + 21*v**4 + 22*v**3.
-v**3*(v - 22)*(v + 1)
Suppose 8*z**5 + 20*z**4 + 17*z**3/2 + z**2 = 0. What is z?
-2, -1/4, 0
Solve -s**4 + 190*s**3 - 376*s**2 = 0 for s.
0, 2, 188
Solve 2*q**5 - 4*q**4 - 20*q**3 + 16*q**2 + 66*q + 36 = 0 for q.
-2, -1, 3
What is r in -147*r**5/4 - 756*r**4 + 4629*r**3/4 + 69*r**2/2 - 333*r - 66 = 0?
-22, -2/7, 1
Factor -g**4/5 + 14*g**3/5 + 7*g**2 - 48*g/5.
-g*(g - 16)*(g - 1)*(g + 3)/5
Suppose u**2 + 704*u + 123904 = 0. Calculate u.
-352
What is m in -13*m**2/5 + 222*m/5 + 216/5 = 0?
-12/13, 18
Factor -2*m**3/11 - 2*m**2/11 + 12*m/11.
-2*m*(m - 2)*(m + 3)/11
Solve 2*t**3/9 - 28*t**2/9 + 50*t/9 - 8/3 = 0.
1, 12
Factor 5*b**2 + 80*b.
5*b*(b + 16)
Factor 2*w**3/5 - 16*w**2/5 + 34*w/5 - 4.
2*(w - 5)*(w - 2)*(w - 1)/5
Determine p so that -4*p**5 - 32*p**4 - 60*p**3 + 32*p**2 + 64*p = 0.
-4, -1, 0, 1
Factor 4*a**2 + 120*a - 2700.
4*(a - 15)*(a + 45)
Find l such that 4*l**2 - 356*l + 352 = 0.
1, 88
Determine r, given that 126*r**5 - 690*r**4 + 10550*r**3/7 - 11490*r**2/7 + 6240*r/7 - 1352/7 = 0.
1, 26/21
Factor 2*k**3/7 + 2*k**2 + 24*k/7.
2*k*(k + 3)*(k + 4)/7
Solve -3*k**4 - 6*k**3 + 12*k**2 + 6*k - 9 = 0.
-3, -1, 1
Find o, given that 5*o**2 + 2430*o + 295245 = 0.
-243
Find h, given that 2*h**2/9 - 80*h/9 + 78 = 0.
13, 27
Factor -51*j**3/4 + 57*j**2/4 - 3*j/2.
-3*j*(j - 1)*(17*j - 2)/4
Factor 2*w**4/19 - 16*w**3/19 + 32*w**2/19.
2*w**2*(w - 4)**2/19
Factor -4*r**3 - 700*r**2.
-4*r**2*(r + 175)
Suppose 3*x**5 + 18*x**4 + 27*x**3 + 12*x**2 = 0. Calculate x.
-4, -1, 0
Find b such that 3*b**5 + 33*b**4 + 105*b**3 + 75*b**2 - 108*b - 108 = 0.
-6, -3, -2, -1, 1
Factor 2*q**2 + 32*q + 96.
2*(q + 4)*(q + 12)
Solve -x**4/5 - 4*x**3 - 64*x**2/5 = 0 for x.
-16, -4, 0
Determine p, given that -6*p**4 + 38*p**3 + 30*p**2 - 14*p = 0.
-1, 0, 1/3, 7
Find k, given that -5*k**3/3 + 488*k**2/3 - 257*k + 96 = 0.
3/5, 1, 96
Determine w so that 5*w**2 + 5*w - 150 = 0.
-6, 5
Solve -4*u**4 + 672*u**3 - 28888*u**2 + 55776*u - 27556 = 0 for u.
1, 83
Determine u, given that u**2 - 181*u = 0.
0, 181
Solve 4*c**3/3 + 4*c**2/3 - 8*c = 0.
-3, 0, 2
Let -3*a**2/8 + 45*a/4 - 243/8 = 0. Calculate a.
3, 27
Factor -h**3 - 383*h**2/5 + 944*h/5 - 316/5.
-(h - 2)*(h + 79)*(5*h - 2)/5
Let 6*f**3/5 + 88*f**2/5 - 786*f/5 + 252/5 = 0. Calculate f.
-21, 1/3, 6
Let 2*l**2 - 152*l + 840 = 0. What is l?
6, 70
Determine t, given that -t**2 - 18*t + 544 = 0.
-34, 16
What is o in o**2 - 11*o = 0?
0, 11
Find w such that 3*w**4 - 21*w**3 - 90*w**2 - 12*w + 120 = 0.
-2, 1, 10
Find q, given that -49*q**4/6 - 161*q**3/3 - 613*q**2/6 - 46*q - 6 = 0.
-3, -2/7
Factor r**2/4 - 87*r/4.
r*(r - 87)/4
Factor -2*b**3/13 - 48*b**2/13 - 18*b + 52.
-2*(b - 2)*(b + 13)**2/13
Factor