0*b**2 + 616*b/5.
-4*b*(b - 77)*(b + 2)/5
Determine q so that -q**3/2 + 9*q**2 = 0.
0, 18
Find a such that 28*a**3 + 356*a**2 + 1016*a - 320 = 0.
-8, -5, 2/7
Let -4*q**2 - 464*q + 468 = 0. What is q?
-117, 1
Factor -2*w**3/19 - 14*w**2/19 - 8*w/19 + 24/19.
-2*(w - 1)*(w + 2)*(w + 6)/19
What is c in -9*c**4/4 - 29*c**3/4 - 3*c**2/2 + 9*c + 2 = 0?
-2, -2/9, 1
Factor -g**3/5 + 28*g**2/5 - 27*g/5.
-g*(g - 27)*(g - 1)/5
Factor 16*j**4 - 128*j**3 - 140*j**2 - 36*j.
4*j*(j - 9)*(2*j + 1)**2
Determine l so that 12*l**3 + 52*l**2 + 32*l - 48 = 0.
-3, -2, 2/3
Factor 4*b**2/7 - 1432*b/7 + 128164/7.
4*(b - 179)**2/7
Solve -2*s**2 + 280*s - 9800 = 0 for s.
70
Factor 3*w**3 - 145*w**2/2 + 444*w - 72.
(w - 12)**2*(6*w - 1)/2
Let 3*r**4 - 51*r**2 - 108*r - 60 = 0. What is r?
-2, -1, 5
Solve p**2/4 + 585*p + 342225 = 0 for p.
-1170
Solve 5*l**5 - 43*l**4 - 88*l**3 + 152*l**2 + 272*l + 80 = 0.
-2, -1, -2/5, 2, 10
Let x**2/3 + 70*x/3 + 1225/3 = 0. Calculate x.
-35
Solve 4*i**4/3 - 256*i**3/3 + 4096*i**2/3 = 0.
0, 32
Factor -3*c**4/4 - 3*c**3/2 + 153*c**2/4 - 81*c.
-3*c*(c - 4)*(c - 3)*(c + 9)/4
Factor 5*x**3 + 250*x**2 + 245*x.
5*x*(x + 1)*(x + 49)
Factor 5*b**2 - 220*b + 420.
5*(b - 42)*(b - 2)
What is a in 4*a**4 - 124*a**3 - 688*a**2 - 1136*a - 576 = 0?
-2, -1, 36
Suppose -3*g**5 - 43*g**4/2 - 115*g**3/2 - 69*g**2 - 34*g - 4 = 0. Calculate g.
-2, -1, -1/6
Suppose -4*o**4/3 - 4*o**3 + 172*o**2/3 - 124*o + 72 = 0. Calculate o.
-9, 1, 2, 3
Factor -i**4/3 - 5*i**3 + 11*i**2 - 17*i/3.
-i*(i - 1)**2*(i + 17)/3
What is c in -c**5/2 - 42*c**4 - 243*c**3/2 + 2*c**2 + 162*c = 0?
-81, -2, 0, 1
Factor 2*p**3/11 - 540*p**2/11 - 2*p/11 + 540/11.
2*(p - 270)*(p - 1)*(p + 1)/11
Determine a, given that 2*a**5 + 70*a**4 - 382*a**3 + 706*a**2 - 556*a + 160 = 0.
-40, 1, 2
Factor -2*k**3/15 + 2*k**2/3 + 8*k/15 - 8/3.
-2*(k - 5)*(k - 2)*(k + 2)/15
Find l such that -4*l**4 + 68*l**3 - 180*l**2 + 172*l - 56 = 0.
1, 14
Suppose 2*v**2/15 + 26*v + 388/15 = 0. What is v?
-194, -1
Determine l, given that 15*l**3/4 - 9*l**2/2 - 87*l/4 + 9/2 = 0.
-2, 1/5, 3
Determine t so that 14*t**4 + 4*t**3 - 854*t**2 - 2764*t - 720 = 0.
-5, -4, -2/7, 9
What is x in -4*x**5 + 56*x**4 - 308*x**3 + 832*x**2 - 1104*x + 576 = 0?
2, 3, 4
Suppose g**4/3 - 17*g**3/3 + 41*g**2/3 + 17*g/3 - 14 = 0. What is g?
-1, 1, 3, 14
Solve -k**5/6 + 2*k**3/3 - k**2/3 - k/2 + 1/3 = 0 for k.
-2, -1, 1
Suppose 4*w**2/5 + 12*w - 216/5 = 0. What is w?
-18, 3
Determine m so that -24*m**5/11 - 318*m**4/11 + 348*m**3/11 + 1272*m**2/11 - 1008*m/11 = 0.
-14, -2, 0, 3/4, 2
Factor 10*c**2 - 908*c/3 + 80.
2*(c - 30)*(15*c - 4)/3
Factor 3*g**2 - 309*g + 306.
3*(g - 102)*(g - 1)
Determine g so that g**3 - 3*g**2 - 45*g + 175 = 0.
-7, 5
Solve -5*s**3 - 335*s**2 + 20685*s - 240345 = 0.
-109, 21
Factor 2*i**3/9 - 256*i**2/3 - 770*i/9.
2*i*(i - 385)*(i + 1)/9
Suppose -2*o**2/3 + 628*o - 147894 = 0. Calculate o.
471
Determine s, given that -s**5 - 3*s**4/2 - s**3/2 = 0.
-1, -1/2, 0
Factor -1089*p**4 - 132*p**3 - 4*p**2.
-p**2*(33*p + 2)**2
Find o, given that -32*o**3 + 44*o**2/3 + 15*o + 7/3 = 0.
-7/24, -1/4, 1
Factor 5*d**2 + 200*d + 2000.
5*(d + 20)**2
Factor -4*s**4 + 108*s**3 + 120*s**2 - 224*s.
-4*s*(s - 28)*(s - 1)*(s + 2)
Suppose -2*a**2 - 1324*a - 219122 = 0. What is a?
-331
Determine z so that -12*z**5/5 - 328*z**4/5 + 944*z**3/5 - 96*z**2 = 0.
-30, 0, 2/3, 2
Factor -d**3/2 - 2*d**2 - 5*d/2 - 1.
-(d + 1)**2*(d + 2)/2
Find a such that -9*a**2/4 - 119*a/4 - 13/2 = 0.
-13, -2/9
Factor l**4 + 17*l**3 + 14*l**2 - 32*l.
l*(l - 1)*(l + 2)*(l + 16)
Solve -s**4/9 - 1010*s**3/9 - 255025*s**2/9 = 0 for s.
-505, 0
Factor -3*g**2 + 567*g - 1674.
-3*(g - 186)*(g - 3)
Determine c, given that -3*c**2 - 33*c - 72 = 0.
-8, -3
Factor 2*u**4/9 + 632*u**3/9 + 16216*u**2/3 - 202240*u/9 + 204800/9.
2*(u - 2)**2*(u + 160)**2/9
Suppose -3*l**4/4 + 9*l**3/4 = 0. What is l?
0, 3
Determine s so that s**2/7 - 22*s/7 - 48/7 = 0.
-2, 24
Find n such that -61*n**2/5 - 98*n - 16/5 = 0.
-8, -2/61
Factor -3*a**2/2 + 6*a.
-3*a*(a - 4)/2
Solve -5*k**5 - 2*k**4 + 85*k**3 - 146*k**2 + 28*k + 40 = 0.
-5, -2/5, 1, 2
Factor 2*o**4/5 - 12*o**3/5 - 74*o**2/5 + 36*o.
2*o*(o - 9)*(o - 2)*(o + 5)/5
Solve q**3/5 - 13*q**2/5 + 19*q/5 + 33/5 = 0.
-1, 3, 11
Factor -4*k**3/5 - 652*k**2/5 + 4*k/5 + 652/5.
-4*(k - 1)*(k + 1)*(k + 163)/5
Let -224*k**5 + 720*k**4 - 14*k**3 - 348*k**2 - 122*k - 12 = 0. Calculate k.
-2/7, -1/4, 1, 3
Factor 52*w**2 - 1192*w - 92.
4*(w - 23)*(13*w + 1)
What is g in 3*g**2 + 6294*g + 3301203 = 0?
-1049
Determine j, given that 5*j**5/3 - 5*j**4/3 - 5*j**3 + 5*j**2/3 + 10*j/3 = 0.
-1, 0, 1, 2
Factor 3*v**5 + 336*v**4 + 1605*v**3.
3*v**3*(v + 5)*(v + 107)
Factor -2*k**2 - 76*k - 480.
-2*(k + 8)*(k + 30)
Factor -3*d**2 + 462*d.
-3*d*(d - 154)
Factor -4*p**4 + 1840*p**3 - 215248*p**2 + 839040*p - 831744.
-4*(p - 228)**2*(p - 2)**2
Factor -5*u**4 + 905*u**3 - 41390*u**2 + 38700*u + 81000.
-5*(u - 90)**2*(u - 2)*(u + 1)
Let y**4 - 6*y**3 - 3*y**2 + 16*y + 12 = 0. Calculate y.
-1, 2, 6
Find f such that -f**3/5 + 13*f**2/5 + 48*f/5 = 0.
-3, 0, 16
Factor 4*z**3 - 8*z**2 - 164*z + 168.
4*(z - 7)*(z - 1)*(z + 6)
Suppose -64*q**5 + 7824*q**4 + 5892*q**3 + 1475*q**2 + 123*q = 0. What is q?
-1/4, 0, 123
Suppose -14*h**5/23 - 36*h**4/23 - 24*h**3/23 + 4*h**2/23 + 6*h/23 = 0. Calculate h.
-1, 0, 3/7
Factor 5*h**3 - 310*h**2 - 315*h.
5*h*(h - 63)*(h + 1)
Find g, given that -9*g**4/4 - 453*g**3/4 + 327*g**2/4 + 1077*g/4 + 153/2 = 0.
-51, -1, -1/3, 2
Factor -4*u**5 + 3612*u**4 - 1222208*u**3 + 183464992*u**2 - 10250340288*u - 10435031104.
-4*(u - 226)**4*(u + 1)
Find r, given that -36*r**5 + 181*r**4 + 789*r**3 + 544*r**2 - 60*r - 32 = 0.
-2, -1, -2/9, 1/4, 8
Let -2*j**5/11 + 10*j**4/11 - 18*j**3/11 + 14*j**2/11 - 4*j/11 = 0. What is j?
0, 1, 2
Determine d so that -2*d**4/7 + 166*d**3/7 - 3526*d**2/7 + 3362*d/7 = 0.
0, 1, 41
Determine t, given that -19*t**2/8 + t/4 = 0.
0, 2/19
What is n in -2*n**4 - 30*n**3 + 14*n**2 + 222*n + 180 = 0?
-15, -2, -1, 3
Determine v, given that 2*v**3/5 - 6*v**2/5 - 12*v/5 + 16/5 = 0.
-2, 1, 4
Find r, given that 2*r**2 - 6168*r + 4755528 = 0.
1542
Find k such that -2*k**5/7 - 232*k**4/7 - 6726*k**3/7 + 232*k**2/7 + 6728*k/7 = 0.
-58, -1, 0, 1
Solve 3*j**5/4 + 9*j**4/2 - 183*j**3/2 + 153*j**2 + 363*j/4 - 315/2 = 0 for j.
-15, -1, 1, 2, 7
Suppose 21*p**2/5 + 843*p/5 + 822/5 = 0. What is p?
-274/7, -1
Factor -g**2/2 - 1087*g - 1181569/2.
-(g + 1087)**2/2
Let -y**3/7 + 3*y**2/7 + 10*y/7 - 24/7 = 0. Calculate y.
-3, 2, 4
What is w in 2*w**3/19 + 8*w**2/19 + 6*w/19 = 0?
-3, -1, 0
Factor 2*w**4 + 17*w**3 + 50*w**2 + 57*w + 18.
(w + 2)*(w + 3)**2*(2*w + 1)
Determine q, given that q**2 + 197*q/3 + 130/3 = 0.
-65, -2/3
Let -12*h**5 - 2164*h**4 - 13392*h**3 - 29376*h**2 - 25088*h - 5568 = 0. Calculate h.
-174, -2, -1/3
What is p in -4*p**5 - 28*p**4 - 44*p**3 - 20*p**2 = 0?
-5, -1, 0
Solve -3*l**4 - 33*l**3 - 99*l**2 - 111*l - 42 = 0.
-7, -2, -1
Solve -2*n**2/11 - 12*n/11 + 32/11 = 0.
-8, 2
Find m such that -3*m**2 - 357*m = 0.
-119, 0
Factor 3*x**5 + 27*x**4 + 90*x**3 + 132*x**2 + 72*x.
3*x*(x + 2)**3*(x + 3)
Solve a**2/10 - a/10 = 0.
0, 1
Factor 4*k**2 + 2356*k + 2352.
4*(k + 1)*(k + 588)
Factor -c**5 - 15*c**4 + 71*c**3 - 93*c**2 + 38*c.
-c*(c - 2)*(c - 1)**2*(c + 19)
Let g**4 + 106*g**3 - 6139*g**2/4 + 5819*g/4 - 357 = 0. What is g?
-119, 1/2, 12
Factor 2*i**2/7 + 232*i/7 + 6728/7.
2*(i + 58)**2/7
Factor -q**2/5 - 7*q + 74/5.
-(q - 2)*(q + 37)/5
Factor o**4/9 + 11*o**3/9 + 40*o**2/9 + 16*o/3.
o*(o + 3)*(o + 4)**2/9
Factor -h**3 - 92*h**2 - 89*h + 182.
-(h - 1)*(h + 2)*(h + 91)
Solve 3*m**2 - 27*m - 210 = 0.
-5, 14
Let -3*g**5/4 + 5*g**4 - 13*g**3/2 + g**2 + 5*g/4 = 0. Calculate g.
-1/3, 0, 1, 5
Factor -a**2/3 - 56*a/3 + 116/3.
-(a - 2)*(a + 58)/3
Factor -3*y**2 + 45*y - 132.
-3*(y - 11)*(y - 4)
Find r such that -4*r**5 + 180*r**4 - 1392*r**3 + 3536*r**2 - 2880*r = 0.
0, 2, 5, 36
Factor 3*y**2/5 - 12*y/5 + 12/5.
3*(y - 2)**2/5
Factor k**4 - 34*k**3 + 96*k**2 + 3906*k - 3969.
(k - 21)**2*(k - 1)*(k + 9)
Determine i so that -5*i**5 + 70*i**4 - 230*i**3 - 220*i**2 + 875*i - 490 = 0.
-2, 1, 7
Factor -4*w**2 - 42*w/5 - 4/5.
-2*(w + 2)*(10*w + 1)/5
Find w, given that 3*w**5/7 + 4*w**4 + 81*w**3/7 + 12*w**2 + 20*w/7 = 0.
-5, -2, -1/3, 0
Solve -4*y**2 + 156*y = 