/3 - 8/3.
-(o + 2)*(o + 4)*(7*o + 1)/3
Suppose -3*q**4/4 + 564*q**3 - 210933*q**2/2 - 212628*q - 426387/4 = 0. Calculate q.
-1, 377
Let 25*m**4 - 55*m**3 - 156*m**2 - 92*m - 16 = 0. What is m?
-1, -2/5, 4
Factor s**3/5 - 42*s**2/5 - 29*s + 90.
(s - 45)*(s - 2)*(s + 5)/5
Factor s**4/4 - 19*s**3/4 + 65*s**2/2 - 93*s + 90.
(s - 6)**2*(s - 5)*(s - 2)/4
Let 4*w**3/7 - 20*w**2/7 + 24*w/7 = 0. What is w?
0, 2, 3
Factor -2*l**2/11 - 9780*l/11 - 11956050/11.
-2*(l + 2445)**2/11
Determine a so that -4*a**2 - 236*a - 232 = 0.
-58, -1
Find w, given that 2*w**4/19 + 4*w**3/19 - 74*w**2/19 + 164*w/19 - 96/19 = 0.
-8, 1, 2, 3
Factor -5*t**3 - 595*t**2 - 6935*t + 719415.
-5*(t - 27)*(t + 73)**2
What is c in 2*c**3/9 + 10*c**2/3 - 96*c + 3968/9 = 0?
-31, 8
What is g in g**5 + 161*g**4 + 6235*g**3 - 19681*g**2 + 20008*g - 6724 = 0?
-82, 1
Factor -s**2/6 - 19*s/6 + 91/3.
-(s - 7)*(s + 26)/6
What is z in 2*z**4 + 16*z**3 + 48*z**2 + 64*z + 32 = 0?
-2
Solve 2*l**3/11 + 68*l**2/11 - 70*l/11 = 0.
-35, 0, 1
What is v in 11*v**5 + 17*v**4 - 27*v**3 - 73*v**2 - 52*v - 12 = 0?
-1, -6/11, 2
Factor -j**3 - j**2 + 9*j + 9.
-(j - 3)*(j + 1)*(j + 3)
Determine f, given that 116*f**3/3 - 166*f**2/3 + 46*f/3 + 4/3 = 0.
-2/29, 1/2, 1
Factor -5*u**2 + 2815*u - 8400.
-5*(u - 560)*(u - 3)
Solve 4*u**2 + 1384*u + 1380 = 0.
-345, -1
Factor 2*d**3/7 - 180*d**2/7 - 2*d/7 + 180/7.
2*(d - 90)*(d - 1)*(d + 1)/7
Factor 2*g**3 + 8*g**2 - 2*g - 8.
2*(g - 1)*(g + 1)*(g + 4)
Factor 2*y**2/13 - 872*y/13 + 95048/13.
2*(y - 218)**2/13
Factor y**2/5 + 1452*y + 2635380.
(y + 3630)**2/5
Factor 3*q**2/2 - 63*q/2.
3*q*(q - 21)/2
What is m in 8*m**2/3 + 10*m + 6 = 0?
-3, -3/4
Let 42*n**5/11 + 240*n**4/11 + 432*n**3/11 + 276*n**2/11 + 6*n/11 - 36/11 = 0. Calculate n.
-3, -1, 2/7
Let f**2/4 + 287*f/4 + 143/2 = 0. What is f?
-286, -1
Find c such that 2*c**4 - 64*c**3 + 720*c**2 - 3200*c + 4000 = 0.
2, 10
Determine x, given that -4*x**3/5 - 16*x**2/5 + 436*x/5 - 416/5 = 0.
-13, 1, 8
Suppose -k**3 + 4*k**2 + 4*k - 16 = 0. What is k?
-2, 2, 4
Suppose -11*u**2/8 + 67*u/4 - 3 = 0. What is u?
2/11, 12
Suppose -d**2 + 9*d = 0. What is d?
0, 9
Factor 5*o**5 + 25*o**4 + 20*o**3.
5*o**3*(o + 1)*(o + 4)
Suppose 2*u**3 - 62*u**2 + 510*u - 1026 = 0. What is u?
3, 9, 19
Factor w**2 + 67*w - 2300.
(w - 25)*(w + 92)
Factor -2*s**3/7 + 12*s**2/7 - 64/7.
-2*(s - 4)**2*(s + 2)/7
Factor -3*d**2/2 + 504*d - 42336.
-3*(d - 168)**2/2
Factor 2*x**3/3 + 124*x**2/3 + 550*x - 2904.
2*(x - 4)*(x + 33)**2/3
What is u in u**3/8 + 3*u**2 + 18*u = 0?
-12, 0
Suppose -3*z**4/5 + 3*z**3/5 + 6*z**2/5 = 0. What is z?
-1, 0, 2
Factor 4*d**3/9 - 26*d**2/9 - 14*d/9.
2*d*(d - 7)*(2*d + 1)/9
Find f such that 36*f**5/7 + 132*f**4/7 + 76*f**3/7 + 12*f**2/7 = 0.
-3, -1/3, 0
What is u in u**3/7 + 34*u**2/7 + 352*u/7 + 1152/7 = 0?
-18, -8
What is i in -3*i**2/4 + 123*i/4 - 465/2 = 0?
10, 31
Find h such that 2*h**2 + 424*h + 22472 = 0.
-106
What is q in -4*q**3/7 - 4*q**2/7 + 68*q/7 - 60/7 = 0?
-5, 1, 3
Find h, given that -50*h**5/3 - 262*h**4/3 - 170*h**3 - 458*h**2/3 - 184*h/3 - 8 = 0.
-2, -1, -6/25
Determine o, given that 2*o**5 + 2*o**4 - 4*o**3 - 4*o**2 + 2*o + 2 = 0.
-1, 1
Factor -q**3/6 - 11*q**2/3 - 62*q/3 - 28.
-(q + 2)*(q + 6)*(q + 14)/6
Factor f**3 + 46*f**2 - 95*f + 48.
(f - 1)**2*(f + 48)
Factor k**4/8 + 57*k**3/8 + 487*k**2/8 + 807*k/8 + 47.
(k + 1)**2*(k + 8)*(k + 47)/8
Factor 2*t**3/3 - 2*t**2.
2*t**2*(t - 3)/3
Factor -l**4/3 + 16*l**3/3 - 92*l**2/3 + 224*l/3 - 64.
-(l - 6)*(l - 4)**2*(l - 2)/3
Factor 9*q**3 - 96*q**2 - 444*q + 336.
3*(q - 14)*(q + 4)*(3*q - 2)
Factor 4*y**5 + 128*y**4 - 268*y**3 + 136*y**2.
4*y**2*(y - 1)**2*(y + 34)
Suppose 19*o**3/8 + 151*o**2/8 + 55*o/2 - 3/2 = 0. Calculate o.
-6, -2, 1/19
Solve -2*t**2 - 50*t - 168 = 0 for t.
-21, -4
Factor 5*a**2 + 130*a - 135.
5*(a - 1)*(a + 27)
Solve -14*j**4/9 - 92*j**3/9 + 728*j**2/9 + 4508*j/9 - 686/3 = 0.
-7, 3/7, 7
Factor a**3/6 - 3*a**2/2 - 17*a/3 - 4.
(a - 12)*(a + 1)*(a + 2)/6
Factor -2*b**3/3 + 10*b**2/3 - 4*b/3 - 16/3.
-2*(b - 4)*(b - 2)*(b + 1)/3
Factor 3*y**4 - 303*y**3 + 594*y**2.
3*y**2*(y - 99)*(y - 2)
Solve -2*l**5/7 - 6*l**4/7 + 36*l**3/7 + 80*l**2/7 = 0 for l.
-5, -2, 0, 4
Factor -6*r**3 + 45*r**2 - 81*r + 30.
-3*(r - 5)*(r - 2)*(2*r - 1)
Let -2*n**4/9 - 46*n**3 + 844*n**2/3 - 5096*n/9 + 1136/3 = 0. What is n?
-213, 2
Suppose -2*u**2 - 24*u + 26 = 0. Calculate u.
-13, 1
Factor 2*b**5 - 210*b**4 + 5190*b**3 + 16850*b**2 + 17280*b + 5832.
2*(b - 54)**2*(b + 1)**3
Let 4*j**3 - 24*j**2 - j + 6 = 0. Calculate j.
-1/2, 1/2, 6
Factor a**3/9 - 28*a**2/9 + 3*a.
a*(a - 27)*(a - 1)/9
Factor -y**5/6 + 229*y**4/6 - 6725*y**3/3 + 19493*y**2/3 - 38533*y/6 + 12769/6.
-(y - 113)**2*(y - 1)**3/6
Factor x**2 + 15*x + 36.
(x + 3)*(x + 12)
Solve -5*t**5 + 20*t**4 - 10*t**3 - 20*t**2 + 15*t = 0 for t.
-1, 0, 1, 3
Factor -3*g**2 - 2415*g - 2412.
-3*(g + 1)*(g + 804)
Find w, given that -5*w**5 + 65*w**4 + 315*w**3 + 415*w**2 + 170*w = 0.
-2, -1, 0, 17
Factor 5*y**2 - 1320*y + 87120.
5*(y - 132)**2
Solve 5*n**3/3 - 65*n**2/3 + 80*n - 60 = 0 for n.
1, 6
Factor -10*q**3 - 55*q**2 - 60*q.
-5*q*(q + 4)*(2*q + 3)
Solve i**5 - 49*i**4/3 + 181*i**3/3 - 55*i**2/3 = 0.
0, 1/3, 5, 11
Determine h, given that -17405*h**2 - 590*h - 5 = 0.
-1/59
Find z such that -2*z**5/9 + 32*z**4/9 - 28*z**3/9 - 32*z**2/9 + 10*z/3 = 0.
-1, 0, 1, 15
Find b, given that 3*b**3/7 - 19071*b**2/7 + 40411449*b/7 - 28543953477/7 = 0.
2119
Determine r so that -4*r**4 + 12*r**2 - 8*r = 0.
-2, 0, 1
Solve -p**3/4 - 3*p**2/2 - 3*p - 2 = 0 for p.
-2
Factor 49*l**4/5 + 224*l**3/5 - 3*l**2/5 - 82*l + 40.
(l + 2)*(l + 4)*(7*l - 5)**2/5
Find d such that -d**4/3 - d**3/6 + 13*d**2/3 + 37*d/6 + 2 = 0.
-3, -1, -1/2, 4
Let 2*x**4 + 24*x**3/5 - 62*x**2/5 + 12*x/5 + 16/5 = 0. What is x?
-4, -2/5, 1
Factor k**4/5 + 32*k**3/5 + 256*k**2/5.
k**2*(k + 16)**2/5
Factor g**4 + 360*g**3 + 30550*g**2 - 333000*g + 855625.
(g - 5)**2*(g + 185)**2
Factor -2*x**3/3 + 2*x**2/3 + 20*x/3 + 16/3.
-2*(x - 4)*(x + 1)*(x + 2)/3
Factor -5*q**5 + 15*q**3 + 10*q**2.
-5*q**2*(q - 2)*(q + 1)**2
Factor -2*p**3 + 61*p**2 + 232*p + 204.
-(p - 34)*(p + 2)*(2*p + 3)
Let -m**3/2 - 12*m**2 - 70*m - 96 = 0. Calculate m.
-16, -6, -2
Factor u**3 - 14*u**2 + 25*u - 12.
(u - 12)*(u - 1)**2
Factor 2*w**2 - 1780*w + 396050.
2*(w - 445)**2
Factor 3*z**2/4 + 6*z + 21/4.
3*(z + 1)*(z + 7)/4
Determine n so that 10*n**5 + 275*n**4 + 2260*n**3 + 4560*n**2 - 2880*n = 0.
-12, -4, 0, 1/2
Factor -2*g**2/11 - 168*g + 3704/11.
-2*(g - 2)*(g + 926)/11
What is f in -3*f**3 + 9*f**2 - 6*f = 0?
0, 1, 2
Factor 3*q**3/2 + 3*q**2/2 - 6*q - 6.
3*(q - 2)*(q + 1)*(q + 2)/2
Solve -5*m**2 + 170*m + 175 = 0.
-1, 35
Suppose -15*g**5 + 55*g**4/4 + 85*g**3/2 - 45*g**2/4 - 20*g + 5 = 0. Calculate g.
-1, 1/4, 2/3, 2
What is u in -2*u**4/3 - 902*u**3/3 + 906*u**2 - 2722*u/3 + 908/3 = 0?
-454, 1
Factor 6*a**3/5 - 208*a**2/5 - 514*a/5 - 148/5.
2*(a - 37)*(a + 2)*(3*a + 1)/5
Find l, given that 2*l**2/9 - 1156*l/3 + 167042 = 0.
867
Factor 4*x**3/5 + 44*x**2/5 + 76*x/5 + 36/5.
4*(x + 1)**2*(x + 9)/5
Factor -2*i**4 - 2200*i**3 - 605000*i**2.
-2*i**2*(i + 550)**2
Suppose -5*u**3 + 25*u**2 - 20*u = 0. What is u?
0, 1, 4
Find g, given that 8*g**4/7 + 1730*g**3/7 + 424*g**2/7 - 1730*g/7 - 432/7 = 0.
-216, -1, -1/4, 1
Find r, given that 2*r**2 - 68*r - 70 = 0.
-1, 35
What is j in -j**2/2 + 3264*j - 5326848 = 0?
3264
Determine k so that -3*k**2/7 + 90*k/7 + 93/7 = 0.
-1, 31
Factor u**3/4 - 1345*u**2/4 + 671*u/2 + 672.
(u - 1344)*(u - 2)*(u + 1)/4
Find z such that -3*z**2 - 3912*z + 7836 = 0.
-1306, 2
Suppose 578*v**3 - 1904*v**2 + 1568*v = 0. What is v?
0, 28/17
Let -1225*d**2 + 280*d + 20 = 0. Calculate d.
-2/35, 2/7
What is c in 27*c**3/2 - 1047*c**2/2 - 657*c - 120 = 0?
-1, -2/9, 40
Determine x, given that 180*x**4 + 6420*x**3 + 57245*x**2 = 0.
-107/6, 0
Factor -b**3/9 + b**2/3 + 16*b/9 + 4/3.
-(b - 6)*(b + 1)*(b + 2)/9
Find l such that -l**5 + 54*l**4 + 294*l**3 + 80*l**2 - 1221*l - 1062 = 0.
-3, -1, 2, 59
Factor a**3/2 - 21*a**2/2 + 135*a/2 - 243/2.
(a - 9)**2*(a - 3)/2
Solve o**3/10 - 33*o**2/2 + 243*o/5 = 0.
0, 3, 162
Factor 3*s**3 + 153*s**2 + 1257*s + 1107.
3*(s + 1)*(s + 9)*(s + 41)
Factor -o**3/2 + 3*o**2 + 8*o.
-o*(o - 8)*(o + 2)/2
Suppose -2*g**4 + 48*g**3 - 300*g**2 + 464*g - 210 = 0. What is g?
1, 