2
Factor -g**3/8 + 23*g**2/8.
-g**2*(g - 23)/8
Factor -98*p**3/11 - 2506*p**2/11 - 128*p - 200/11.
-2*(p + 25)*(7*p + 2)**2/11
Factor -2*w**3 - 78*w**2 - 72*w + 152.
-2*(w - 1)*(w + 2)*(w + 38)
Factor s**3/7 - 99*s**2/7 + 2295*s/7 + 7803/7.
(s - 51)**2*(s + 3)/7
Determine k, given that -3*k**4/5 + 48*k**3/5 - 207*k**2/5 - 6*k + 240 = 0.
-2, 5, 8
Solve -9*c**4 + 6*c**3 + 81*c**2 - 54*c = 0.
-3, 0, 2/3, 3
Find g, given that g**3 - 54*g**2 + 780*g - 1352 = 0.
2, 26
Factor -3*f**5 + 15*f**4 - 18*f**3 - 12*f**2 + 24*f.
-3*f*(f - 2)**3*(f + 1)
Factor 32*p**3/5 + 92*p**2/5 - 12*p/5.
4*p*(p + 3)*(8*p - 1)/5
Factor -2*o**5 + 20*o**4 - 72*o**3 + 112*o**2 - 64*o.
-2*o*(o - 4)*(o - 2)**3
Factor 4*b**4 - 32*b**3 - 48*b**2 + 320*b + 512.
4*(b - 8)*(b - 4)*(b + 2)**2
Find g such that 19*g**2/4 - 1009*g/4 + 53/2 = 0.
2/19, 53
What is j in 35969456*j**3 - 1235592*j**2 + 14148*j - 54 = 0?
3/262
Suppose -5*b**5 + 7*b**4/4 + 33*b**3/2 + 19*b**2/4 - 8*b - 3 = 0. What is b?
-1, -2/5, 3/4, 2
Suppose -20*s**4 + 3548*s**3 - 8436*s**2 + 6308*s - 1400 = 0. Calculate s.
2/5, 1, 175
What is p in 8*p**5 - 222*p**4 - 286*p**3 - 231*p**2/2 - 29*p/2 = 0?
-1/2, -1/4, 0, 29
Find w, given that -28*w**5 + 356*w**4 - 1492*w**3 + 2316*w**2 - 720*w - 432 = 0.
-2/7, 1, 3, 6
Find u such that -u**4/2 + 35*u**3/2 - 67*u**2/2 + 33*u/2 = 0.
0, 1, 33
Factor 8*j**2/5 - 3838*j/5 - 962.
2*(j - 481)*(4*j + 5)/5
Factor -d**5/4 - 33*d**4/2 - 305*d**3 - 125*d**2/2 + 103125*d/4 - 78125.
-(d - 5)*(d - 4)*(d + 25)**3/4
Factor -b**5/6 - 9*b**4/2 + 29*b**3/3 - b**2/3 - 19*b/2 + 29/6.
-(b - 1)**3*(b + 1)*(b + 29)/6
Find f such that -3*f**4 + 12*f**3 + 153*f**2 + 258*f + 120 = 0.
-4, -1, 10
Determine w so that 4*w**5 - 176*w**4 - 2736*w**3 - 12616*w**2 - 21460*w - 11400 = 0.
-5, -2, -1, 57
Factor 2*s**3/13 - 66*s**2/13 - 138*s/13 - 70/13.
2*(s - 35)*(s + 1)**2/13
Determine i so that 4*i**4 + 28*i**3 + 68*i**2 + 68*i + 24 = 0.
-3, -2, -1
Solve 2*t**4/15 + 2*t**3/5 - 4*t**2/5 - 16*t/15 = 0 for t.
-4, -1, 0, 2
Factor -15*x**2 - 411*x - 162.
-3*(x + 27)*(5*x + 2)
Solve 2*g**3/5 - 56*g**2 - 1144*g/5 - 1152/5 = 0.
-2, 144
Find q, given that -25*q**3/9 - 1070*q**2/9 - 844*q/9 - 56/3 = 0.
-42, -2/5
Find s such that -2*s**3/11 - 378*s**2/11 - 18768*s/11 - 84640/11 = 0.
-92, -5
Let -4*m**3 + 1056*m**2 - 70740*m + 137288 = 0. What is m?
2, 131
Suppose 3*k**2 - 741*k - 3780 = 0. Calculate k.
-5, 252
Factor -3*z**2/2 + 97*z/6 + 11/3.
-(z - 11)*(9*z + 2)/6
What is n in -n**3/4 - 3*n**2 + 91*n/4 + 51/2 = 0?
-17, -1, 6
Determine d, given that 7*d**5 - 27*d**4 - 95*d**3 + 15*d**2 + 88*d + 12 = 0.
-2, -1, -1/7, 1, 6
Factor -s**5/4 - s**4/4 + s**3/4 + s**2/4.
-s**2*(s - 1)*(s + 1)**2/4
Factor -3*j**3 + 747*j**2 - 45360*j - 142884.
-3*(j - 126)**2*(j + 3)
Factor 28*d**4/3 + 332*d**3/3 + 320*d**2 - 48*d.
4*d*(d + 6)**2*(7*d - 1)/3
Let 2*c**3 + 11*c**2 + 12*c - 9 = 0. Calculate c.
-3, 1/2
Determine f, given that 39*f**4 - 3*f**3 - 348*f**2 + 180*f + 432 = 0.
-3, -12/13, 2
Factor -6*x**3/11 - 324*x**2/11.
-6*x**2*(x + 54)/11
Factor 5*t**4 - 315*t**3 - 325*t**2 + 315*t + 320.
5*(t - 64)*(t - 1)*(t + 1)**2
Suppose 6*b**5/5 - 44*b**4/5 - 32*b**3/5 + 768*b**2/5 - 1024*b/5 - 1024/5 = 0. Calculate b.
-4, -2/3, 4
Factor -2*b**3/3 - 52*b**2/3 + 2*b/3 + 52/3.
-2*(b - 1)*(b + 1)*(b + 26)/3
What is z in 6*z**3/5 + 42*z**2 + 330*z + 750 = 0?
-25, -5
Factor 2*u**3/11 - 416*u**2/11 - 38*u.
2*u*(u - 209)*(u + 1)/11
Factor -5*d**3/6 - 95*d**2/6 + 5*d/6 + 95/6.
-5*(d - 1)*(d + 1)*(d + 19)/6
Factor -b**4/5 + b**3 + 14*b**2/5.
-b**2*(b - 7)*(b + 2)/5
Determine w so that 4*w**2 - 408*w + 404 = 0.
1, 101
Solve o**3 - 387*o**2/7 + 852*o/7 - 212/7 = 0 for o.
2/7, 2, 53
Suppose 2*m**2/9 + 284*m/9 - 286/9 = 0. Calculate m.
-143, 1
Solve -2*f**4 - 7784*f**3 - 11360748*f**2 - 7369338536*f - 1792591598882 = 0 for f.
-973
Find k, given that -k**2/2 + 91*k/2 + 46 = 0.
-1, 92
Find o such that -o**5/8 - 5*o**4/8 + 21*o**3 - 153*o**2/2 = 0.
-17, 0, 6
Determine p so that -5*p**3/6 - 5*p**2/6 + 5*p/3 = 0.
-2, 0, 1
Factor 4*f**5 + 16*f**4 - 12*f**3 - 40*f**2 + 32*f.
4*f*(f - 1)**2*(f + 2)*(f + 4)
Determine w so that -w**3/3 - 6181*w**2/3 - 3184760*w - 3182700 = 0.
-3090, -1
Determine q, given that 5*q**5 + 5*q**4 - 80*q**3 + 100*q**2 = 0.
-5, 0, 2
Suppose -q**3/5 - 138*q**2/5 - 4761*q/5 = 0. What is q?
-69, 0
What is s in 4*s**2 + 48*s - 52 = 0?
-13, 1
Solve -a**2 + 33*a - 116 = 0.
4, 29
Suppose -3*f**4/5 - 351*f**3/5 - 207*f**2 - 1029*f/5 - 342/5 = 0. What is f?
-114, -1
Suppose n**5 + 5*n**4/7 - 16*n**3/7 + 4*n**2/7 = 0. What is n?
-2, 0, 2/7, 1
Factor -i**2/6 + 65*i/6 - 32/3.
-(i - 64)*(i - 1)/6
Factor -2*a**3/7 + 34*a**2/7 - 4*a - 64/7.
-2*(a - 16)*(a - 2)*(a + 1)/7
Factor -3*r**3 - 87*r**2 - 234*r.
-3*r*(r + 3)*(r + 26)
Find b, given that 8*b**5/21 + 6*b**4/7 + 4*b**3/7 + 2*b**2/21 = 0.
-1, -1/4, 0
Suppose -9*i**5 + 6*i**4 + 9*i**3 - 6*i**2 = 0. What is i?
-1, 0, 2/3, 1
Let u**3 - 106*u**2 - 216*u = 0. What is u?
-2, 0, 108
Solve 3*o**5 - 465*o**4 + 23373*o**3 - 345507*o**2 - 1786524*o = 0 for o.
-4, 0, 53
Factor -2*y**2/3 - 32*y + 200/3.
-2*(y - 2)*(y + 50)/3
Find w, given that -4*w**4 + 36*w**3 + 192*w**2 + 208*w = 0.
-2, 0, 13
Let -5*l**5 - 15*l**4 - 10*l**3 + 10*l**2 + 15*l + 5 = 0. What is l?
-1, 1
Factor 8*p**3 - 170*p**2 - 134*p + 44.
2*(p - 22)*(p + 1)*(4*p - 1)
Let -4*g**3 - 24*g**2 - 44*g - 24 = 0. What is g?
-3, -2, -1
Factor 2*c**3 - 202*c**2 + 2534*c - 8526.
2*(c - 87)*(c - 7)**2
Find p, given that -8836*p**4 - 2049200*p**3 - 118722768*p**2 + 10115200*p - 215296 = 0.
-116, 2/47
Find p such that -3*p**5 - 15*p**4 - 15*p**3 + 15*p**2 + 18*p = 0.
-3, -2, -1, 0, 1
Factor 36*z**4 + 1284*z**3 - 4580*z**2 + 3900*z.
4*z*(z + 39)*(3*z - 5)**2
Determine w, given that -529*w**3 + 1748*w**2 - 1444*w = 0.
0, 38/23
Factor 2*y**2 + 124*y + 570.
2*(y + 5)*(y + 57)
Let -3*t**5/5 + 201*t**4/5 - 4419*t**3/5 + 30291*t**2/5 + 34914*t/5 = 0. Calculate t.
-1, 0, 22, 23
Find t such that -18*t**2/5 + 26*t/5 - 8/5 = 0.
4/9, 1
Determine v so that 5*v**2 + 1375*v + 2730 = 0.
-273, -2
Find n, given that -2*n**3/7 - 39*n**2/7 + 702*n/7 - 341/7 = 0.
-31, 1/2, 11
Factor 2*v**2/11 - 342*v/11.
2*v*(v - 171)/11
Suppose q**5/5 + 4*q**4 + 16*q**3/5 - 62*q**2/5 - 97*q/5 - 38/5 = 0. What is q?
-19, -1, 2
Find o, given that 405*o**5 + 6300*o**4 + 8885*o**3 + 770*o**2 - 1940*o + 280 = 0.
-14, -1, 2/9
Let -5*r**5 + 185*r**4 - 2080*r**3 + 6400*r**2 = 0. Calculate r.
0, 5, 16
Factor b**3 - 12*b**2 + 45*b - 54.
(b - 6)*(b - 3)**2
Factor 729*b**3/5 - 1459*b**2/5 + 731*b/5 - 1/5.
(b - 1)**2*(729*b - 1)/5
What is b in 24*b**3/5 - 52*b**2/5 - 352*b/5 + 12 = 0?
-3, 1/6, 5
Suppose -2*i**3/5 + 40*i**2 - 1000*i = 0. What is i?
0, 50
Factor -4*d**5 + 740*d**4 - 46120*d**3 + 997960*d**2 - 1860500*d + 907924.
-4*(d - 61)**3*(d - 1)**2
Suppose -k**4/3 + 28*k**3/3 - 44*k**2 - 896*k/3 - 1024/3 = 0. What is k?
-2, 16
Suppose -2*g**4/5 - 12*g**3/5 + 8*g**2 + 48*g/5 - 128/5 = 0. Calculate g.
-8, -2, 2
Solve -2*k**2 + 214*k - 420 = 0 for k.
2, 105
What is j in -4*j**3 - 80*j**2 - 400*j = 0?
-10, 0
Factor 3*r**4/2 - 27*r**3 + 132*r**2 - 768.
3*(r - 8)**2*(r - 4)*(r + 2)/2
Factor x**3/4 + x**2/4 - 2*x - 3.
(x - 3)*(x + 2)**2/4
What is j in -2*j**2/7 - 394*j/7 + 796/7 = 0?
-199, 2
Factor -3*p**3 - 99*p**2 + 3*p + 99.
-3*(p - 1)*(p + 1)*(p + 33)
Solve 4*i**3 - 20*i**2 - 176*i - 240 = 0.
-3, -2, 10
Factor 4*x**3/7 + 492*x**2/7 + 20172*x/7 + 275684/7.
4*(x + 41)**3/7
Determine l, given that -2*l**5 + 20*l**4 - 48*l**3 - 20*l**2 + 50*l = 0.
-1, 0, 1, 5
Find f, given that -65*f**2 - 115*f + 30 = 0.
-2, 3/13
Determine t, given that -4*t**4 - 56*t**3 + 12*t**2 + 176*t + 112 = 0.
-14, -1, 2
Factor 2*r**4 - 76*r**3 + 136*r**2 + 304*r - 576.
2*(r - 36)*(r - 2)**2*(r + 2)
Solve -4*o**5 - 4160*o**4 - 1730560*o**3 - 359956480*o**2 - 37435473920*o - 1557315715072 = 0.
-208
Find p, given that 3*p**2 + 1404*p + 1401 = 0.
-467, -1
Factor -1568*d**2 - 560*d - 50.
-2*(28*d + 5)**2
Let 34*z**3/13 + 2*z**2 - 8*z/13 = 0. What is z?
-1, 0, 4/17
Factor -3*v**4 - 30*v**3 - 111*v**2 - 180*v - 108.
-3*(v + 2)**2*(v + 3)**2
Find g such that -12*g**3 - 650*g**2 - 108*g = 0.
-54, -1/6, 0
Factor -4*h**4 - 52*h**3 - 132*h**2 - 124*h - 40.
-4*(h + 1)**3*(h + 10)
Factor 5*i**3 + 5*i**2 - 160*i - 300.
5*(i - 6)*(i + 2)*(i + 5)
Factor -2*