43*k - 720.
-3*(k + 1)**2*(k + 240)
Factor -3*m**3/4 + 9*m/4 - 3/2.
-3*(m - 1)**2*(m + 2)/4
Factor o**2/2 - 44*o - 873/2.
(o - 97)*(o + 9)/2
Factor s**5 - 13*s**4 + 62*s**3 - 134*s**2 + 129*s - 45.
(s - 5)*(s - 3)**2*(s - 1)**2
Factor -2*m**4/7 + 22*m**3/7 - 78*m**2/7 + 90*m/7.
-2*m*(m - 5)*(m - 3)**2/7
Solve 2*d**3/21 - 62*d**2/7 = 0.
0, 93
Find x such that 50*x**5/3 + 85*x**4 - 85*x**3/3 - 420*x**2 - 100*x/3 + 80 = 0.
-4, -3, -1/2, 2/5, 2
Find w such that 9*w**4 + 6*w**3 - 4161*w**2 + 1386*w = 0.
-22, 0, 1/3, 21
Let 2*v**4/3 - 38*v**3/3 - 92*v**2 - 584*v/3 - 400/3 = 0. What is v?
-2, 25
Determine y so that 3*y**4 + 111*y**3 - 114*y**2 = 0.
-38, 0, 1
Let -20*j**2 - 192*j + 80 = 0. Calculate j.
-10, 2/5
Factor -2*c**2 - 14*c + 60.
-2*(c - 3)*(c + 10)
Suppose 2*s**4/3 - 22*s**3/3 - 32*s**2/3 + 88*s/3 + 32 = 0. Calculate s.
-2, -1, 2, 12
Factor g**3/4 + 121*g**2/4 + 1036*g + 7056.
(g + 9)*(g + 56)**2/4
Factor -2*p**2 + 1052*p - 138338.
-2*(p - 263)**2
Factor -4*p**2 - 408*p - 1568.
-4*(p + 4)*(p + 98)
Factor 3*s**4/4 - 29*s**3/4 - 43*s**2/4 - 11*s/4.
s*(s - 11)*(s + 1)*(3*s + 1)/4
Suppose -3*l**2/4 + 265*l/4 - 22 = 0. What is l?
1/3, 88
Solve 147*r**5 + 2583*r**4 + 1440*r**3 + 204*r**2 = 0 for r.
-17, -2/7, 0
Determine s so that -2*s**4/5 + 54*s**3/5 + 122*s**2/5 - 174*s/5 = 0.
-3, 0, 1, 29
Suppose 2*p**2 - 9774*p + 9772 = 0. Calculate p.
1, 4886
Factor b**3 + 54*b**2 + 972*b + 5832.
(b + 18)**3
Find u such that -16*u**3/5 + 132*u**2/5 - 224*u/5 + 48/5 = 0.
1/4, 2, 6
Suppose -4*n**2 + 24*n = 0. Calculate n.
0, 6
Suppose 12*j**2 - 472*j/5 - 64/5 = 0. Calculate j.
-2/15, 8
Factor -3*n**3 - 44*n**2 - 175*n - 98.
-(n + 7)**2*(3*n + 2)
Factor 19*c**2/6 - c/6.
c*(19*c - 1)/6
Let 2*z**4 - z**3 - 61*z**2 - 30*z = 0. What is z?
-5, -1/2, 0, 6
Solve -2*k**4/13 - 6*k**3/13 + 2*k**2/13 + 6*k/13 = 0.
-3, -1, 0, 1
What is a in -3*a**4 - 15*a**3 + 126*a**2 + 540*a - 648 = 0?
-6, 1, 6
Factor 16*s**4 - 128*s**3 + 212*s**2 - 124*s + 24.
4*(s - 6)*(s - 1)*(2*s - 1)**2
Factor -c**4 + 83*c**3 + 1619*c**2 - 3483*c + 1782.
-(c - 99)*(c - 1)**2*(c + 18)
Factor -r**3 + 31*r**2 + 176*r + 144.
-(r - 36)*(r + 1)*(r + 4)
Let 3*m**2/5 - 51*m/5 = 0. Calculate m.
0, 17
Find m such that -2*m**5/9 + 28*m**4/9 - 4*m**3/3 - 184*m**2/9 + 14*m/9 + 52/3 = 0.
-2, -1, 1, 3, 13
Solve -38*v**4/3 + 14*v**3 + 794*v**2/3 - 598*v + 60 = 0.
-5, 2/19, 3
Factor -4*d**2 - 56288*d - 198021184.
-4*(d + 7036)**2
Factor -b**2/2 - 3278*b - 5372642.
-(b + 3278)**2/2
Let -4*c**4/5 + 788*c**3/5 - 4628*c**2/5 + 8428*c/5 - 4584/5 = 0. What is c?
1, 2, 3, 191
Factor 3*x**4/7 - 69*x**3/7 + 360*x**2/7 + 432*x/7.
3*x*(x - 12)**2*(x + 1)/7
Find q such that 2*q**4/13 - 42*q**3/13 + 240*q**2/13 - 200*q/13 = 0.
0, 1, 10
Factor v**2/8 + 4*v + 207/8.
(v + 9)*(v + 23)/8
Factor 2*y**2/5 - 308*y/5 + 306/5.
2*(y - 153)*(y - 1)/5
What is g in g**4 - 12*g**3 - 59*g**2 - 78*g - 32 = 0?
-2, -1, 16
Factor -2*s**4/5 - s**3/5 + 2*s**2/5 + s/5.
-s*(s - 1)*(s + 1)*(2*s + 1)/5
Solve -3*p**5 - 77*p**4 - 46*p**3 + 102*p**2 + 49*p - 25 = 0 for p.
-25, -1, 1/3, 1
Let -5*n**2 + 3110*n - 483605 = 0. Calculate n.
311
Solve -w**2 - 265*w = 0.
-265, 0
Solve -25*o**5/3 - 1480*o**4/3 - 25969*o**3/3 - 122294*o**2/3 - 222908*o/3 - 141512/3 = 0.
-133/5, -2
Factor -153*a**2/4 - 451*a/4 + 6.
-(a + 3)*(153*a - 8)/4
Factor 4*s**4 - 24*s**3 + 52*s**2 - 48*s + 16.
4*(s - 2)**2*(s - 1)**2
Find c such that 2*c**2 - 190*c - 192 = 0.
-1, 96
Factor -75*w**3/8 + 13935*w**2/8 - 1389*w + 555/2.
-3*(w - 185)*(5*w - 2)**2/8
What is t in 5*t**5 + 35*t**4 + 60*t**3 - 80*t**2 - 320*t - 240 = 0?
-3, -2, 2
Find g such that -3*g**4 - 12*g**3 - 9*g**2 = 0.
-3, -1, 0
Factor -3*n**2/7 + 24*n/7.
-3*n*(n - 8)/7
Factor -j**3/5 - 19*j**2/5 - 48*j/5 + 36.
-(j - 2)*(j + 6)*(j + 15)/5
Determine h, given that 4*h**3 + 8*h**2 - 12*h = 0.
-3, 0, 1
Factor -2*m**2 - 12396*m - 19207602.
-2*(m + 3099)**2
Factor 3*r**3 - 39*r**2 - 48*r + 84.
3*(r - 14)*(r - 1)*(r + 2)
Factor z**4/5 + 5*z**3 + 92*z**2/5 - 140*z + 816/5.
(z - 2)**2*(z + 12)*(z + 17)/5
What is j in 2*j**2/9 - 212*j/9 + 1010/9 = 0?
5, 101
Let -4*q**5 - 8*q**4 + 24*q**3 + 32*q**2 - 20*q - 24 = 0. What is q?
-3, -1, 1, 2
Factor 2*w**3/7 - 24*w**2/7 + 10*w.
2*w*(w - 7)*(w - 5)/7
Find m, given that -5*m**4 - 5*m**3 + 130*m**2 - 120*m = 0.
-6, 0, 1, 4
Suppose 16*n**2 + 9700*n + 2424 = 0. What is n?
-606, -1/4
Solve -4*i**2 - 1400*i - 2784 = 0.
-348, -2
Factor -5*f**2 + 25*f - 20.
-5*(f - 4)*(f - 1)
Suppose 3*d**5 + 9*d**4 - 12*d**3 = 0. Calculate d.
-4, 0, 1
Factor -s**4 - 6*s**3 + 60*s**2 - 136*s + 96.
-(s - 2)**3*(s + 12)
Solve -2*o**5/5 + 10*o**4/3 - 18*o**3/5 - 6*o**2/5 + 28*o/15 = 0 for o.
-2/3, 0, 1, 7
Factor -4*p**3 - 44*p**2 - 128*p - 112.
-4*(p + 2)**2*(p + 7)
Solve 60*z**3 + 205*z**2 + 60*z - 45 = 0 for z.
-3, -3/4, 1/3
Let 4*r**3 + 40*r**2 + 64*r = 0. Calculate r.
-8, -2, 0
Suppose y**5 + 5*y**4 - 21*y**3 - 53*y**2 - 28*y = 0. Calculate y.
-7, -1, 0, 4
Determine a so that -3*a**2/5 + 144*a/5 - 81 = 0.
3, 45
Factor -2*i**3/5 - 32*i**2/5 - 82*i/5 - 52/5.
-2*(i + 1)*(i + 2)*(i + 13)/5
Factor -2*x**2/3 - 114*x - 676/3.
-2*(x + 2)*(x + 169)/3
Factor s**4/2 + 26*s**3 + 482*s**2 + 3744*s + 10368.
(s + 8)**2*(s + 18)**2/2
What is w in 176*w**5 - 1992*w**4 + 2371*w**3 - 503*w**2 - 72*w + 20 = 0?
-2/11, 1/4, 1, 10
Let -v**3/2 + 27*v**2/2 + 44*v + 30 = 0. Calculate v.
-2, -1, 30
Factor 4*d**3 - 72*d**2 - 832*d.
4*d*(d - 26)*(d + 8)
Factor 2500707*f**2/2 + 2739*f + 3/2.
3*(913*f + 1)**2/2
Factor -7*g**4 + 72*g**3 + 148*g**2 - 48*g.
-g*(g - 12)*(g + 2)*(7*g - 2)
Suppose -4*g**5 + 54*g**4 + 156*g**3 + 64*g**2 = 0. What is g?
-2, -1/2, 0, 16
Factor 5*h**2 + 2585*h - 15690.
5*(h - 6)*(h + 523)
Solve 2*p**4 + 580*p**3 + 42626*p**2 + 83520*p + 41472 = 0 for p.
-144, -1
Factor -2*h**3 + 594*h**2 + 2400*h + 2408.
-2*(h - 301)*(h + 2)**2
Suppose 2*h**3 + 12*h**2 - 30*h - 200 = 0. What is h?
-5, 4
Factor p**4/4 + p**3/4 - p**2/2.
p**2*(p - 1)*(p + 2)/4
Factor -q**3 - 31*q**2 - 134*q - 104.
-(q + 1)*(q + 4)*(q + 26)
Factor -2*w**2/9 - 176*w/3 - 3872.
-2*(w + 132)**2/9
Find g, given that -g**2/2 + 60*g - 1800 = 0.
60
Factor v**2/4 - 956*v - 3825/4.
(v - 3825)*(v + 1)/4
Let 2*b**5/9 + 86*b**4/9 - 182*b**3/9 - 86*b**2/9 + 20*b = 0. What is b?
-45, -1, 0, 1, 2
Suppose -2*z**3 + 12*z**2 + 18*z - 108 = 0. What is z?
-3, 3, 6
Factor -5*b**3/4 + 45*b**2/2 + 5*b/4 - 45/2.
-5*(b - 18)*(b - 1)*(b + 1)/4
Factor 5*h**4 + 25*h**3 - 120*h**2.
5*h**2*(h - 3)*(h + 8)
Determine n, given that -5*n**2 + 810*n - 32805 = 0.
81
Factor 3*w**3/4 - 3*w**2 - 33*w/4 + 45/2.
3*(w - 5)*(w - 2)*(w + 3)/4
Determine x so that -4*x**4 + 132*x**3 - 968*x**2 + 816*x + 6624 = 0.
-2, 6, 23
Determine z, given that 10*z**2 + 56*z/5 + 6/5 = 0.
-1, -3/25
Factor -2*m**5/15 + 4*m**4/15 + 2*m**3/5.
-2*m**3*(m - 3)*(m + 1)/15
Factor -4*a**3 - 48*a**2 - 68*a + 120.
-4*(a - 1)*(a + 3)*(a + 10)
Let -4*c**5/13 + 38*c**4/13 - 126*c**3/13 + 178*c**2/13 - 110*c/13 + 24/13 = 0. What is c?
1/2, 1, 3, 4
Factor -5*j**3 + 210*j**2 - 2700*j + 9720.
-5*(j - 18)**2*(j - 6)
Solve 2*d**2/7 - 10*d + 68/7 = 0 for d.
1, 34
What is m in -m**2/4 + 72*m - 5184 = 0?
144
Suppose 22*h**3/3 + 92*h**2/3 - 688*h/3 - 128/3 = 0. What is h?
-8, -2/11, 4
Suppose 4*j**4 + 56*j**3 + 164*j**2 + 16*j - 240 = 0. Calculate j.
-10, -3, -2, 1
Solve -v**3/5 - 5*v**2 + 70*v = 0.
-35, 0, 10
Factor 4*m**2/9 + 216*m + 26244.
4*(m + 243)**2/9
Let u**3/4 - 133*u**2/2 + 4488*u - 8712 = 0. Calculate u.
2, 132
Factor -7*s**3 + 3768*s**2 + 10285*s - 3246.
-(s - 541)*(s + 3)*(7*s - 2)
Factor -3*o**4 + 30*o**3 - 39*o**2 - 180*o - 108.
-3*(o - 6)**2*(o + 1)**2
Find h such that 5041*h**2 + 284*h + 4 = 0.
-2/71
Find z, given that -2*z**5/3 - 28*z**4/9 - 26*z**3/9 + 4*z**2 + 40*z/9 - 16/9 = 0.
-2, 1/3, 1
Factor -7*h**3/3 - 44*h**2/3 - 25*h - 6.
-(h + 3)**2*(7*h + 2)/3
Suppose -2*f**2 + 50*f = 0. What is f?
0, 25
Suppose z**5/4 + 7*z**4/6 - z**3/12 - 4*z**2 - 13*z/3 - 4/3 = 0. Calculate z.
-4, -1, -2/3, 2
Let -5*v**4 + 75*v**3 + 1255*v**2 + 4425*v + 3250 = 0. What is v?
-5, -1, 26
Suppose 35*p**5 + 410*p**4 + 265*p**3 - 110*p**2 = 0. What is p?
-11, -1, 0, 2/7
Find m, given that 25*m**3 + 15*m**2 - 25*m - 15 = 0.
-1, -3/5, 1
Factor -a**3 + 7*a**2 + 92*a + 84.
-(a - 14)*(a + 1)*(a + 6)
Find a such that a**2/4 - 8*a - 33/4 = 0.
-1, 33
