.
-1, -1/3, 0, 1
Let 2*r**5/3 + 16*r**4/3 + 26*r**3/3 - 44*r**2/3 - 64*r/3 + 64/3 = 0. Calculate r.
-4, -2, 1
Let -16*z**5/5 + 13976*z**4/5 - 4071673*z**3/5 + 396307953*z**2/5 - 197391411*z/5 + 24642171/5 = 0. What is z?
1/4, 291
Determine a, given that 21*a**5/4 + 209*a**4/4 + 599*a**3/4 + 391*a**2/4 - 5*a = 0.
-5, -4, -1, 0, 1/21
Factor 3*s**2 + 84*s - 87.
3*(s - 1)*(s + 29)
Let t**5/9 - 158*t**4/9 + 8266*t**3/9 - 140132*t**2/9 - 165731*t/9 + 297754/9 = 0. Calculate t.
-2, 1, 53
Factor 3*k**4/4 + 1035*k**3/4 + 3087*k**2/4 + 3081*k/4 + 513/2.
3*(k + 1)**3*(k + 342)/4
Factor a**4/6 - 550*a**3/3 - 367*a**2/2.
a**2*(a - 1101)*(a + 1)/6
Determine g, given that -2*g**2/5 - 8*g - 72/5 = 0.
-18, -2
Find j such that -2*j**2/19 + 9668*j/19 - 11683778/19 = 0.
2417
Determine f, given that 9*f**5 + 30*f**4 + 27*f**3 + 6*f**2 = 0.
-2, -1, -1/3, 0
Factor -z**4/4 - 5*z**3/4 - 2*z**2 - z.
-z*(z + 1)*(z + 2)**2/4
Factor l**5 + 16*l**4 + 60*l**3 - 64*l**2 - 256*l.
l*(l - 2)*(l + 2)*(l + 8)**2
Suppose -4*g**2 + 228*g - 648 = 0. Calculate g.
3, 54
Let -2*p**3 + 40*p**2 - 182*p = 0. What is p?
0, 7, 13
Find v such that -2*v**4/3 - 4*v**3/3 + 2*v**2/3 + 4*v/3 = 0.
-2, -1, 0, 1
Factor -2*t**5 + 189*t**4 - 4512*t**3 + 2209*t**2.
-t**2*(t - 47)**2*(2*t - 1)
Factor q**4 + 9*q**3 + 8*q**2.
q**2*(q + 1)*(q + 8)
Factor -2*t**4/5 + 2*t**3 + 2*t**2/5 - 2*t.
-2*t*(t - 5)*(t - 1)*(t + 1)/5
Suppose o**4/4 + o**3/2 - 27*o**2/4 + 13*o - 7 = 0. What is o?
-7, 1, 2
Factor -2*r**4/9 - 118*r**3/9 - 760*r**2/3 - 13600*r/9 + 16000/9.
-2*(r - 1)*(r + 20)**3/9
Factor 3*x**4/4 + 3*x**3 - 351*x**2/4.
3*x**2*(x - 9)*(x + 13)/4
Find z, given that -3*z**3/8 + 69*z**2/8 - 429*z/8 + 363/8 = 0.
1, 11
Suppose -s**4 - 7*s**3 + 144*s**2 = 0. What is s?
-16, 0, 9
Factor b**5 - b**4 - 27*b**3 + 77*b**2 - 74*b + 24.
(b - 4)*(b - 1)**3*(b + 6)
Factor 2*y**4/3 + 2*y**3/3 - 8*y**2/3 - 8*y/3.
2*y*(y - 2)*(y + 1)*(y + 2)/3
Suppose -520*i**2 + 285*i + 235 = 0. What is i?
-47/104, 1
Factor -22707*n**2/2 + 522*n - 6.
-3*(87*n - 2)**2/2
Determine v, given that 3*v**5 - 18*v**3 - 24*v**2 - 9*v = 0.
-1, 0, 3
Factor 5*r**2 + 320*r + 5120.
5*(r + 32)**2
Factor -n**5 - 81*n**4 + 91*n**3 + 749*n**2 + 906*n + 328.
-(n - 4)*(n + 1)**3*(n + 82)
Factor 10*r**5/9 + 28*r**4/3 + 64*r**3/3 + 64*r**2/9.
2*r**2*(r + 4)**2*(5*r + 2)/9
Factor -2*f**3/9 + 20*f**2/9.
-2*f**2*(f - 10)/9
Factor -2*z**2/7 - 2*z/7 + 40/7.
-2*(z - 4)*(z + 5)/7
Solve 2*u**4/3 - 16*u**3/3 + 46*u**2/3 - 56*u/3 + 8 = 0 for u.
1, 2, 3
Determine t so that 3*t**3/5 + 6*t**2 - 39*t/5 - 66/5 = 0.
-11, -1, 2
Factor 5*q**3 + 5*q**2 - 480*q - 1980.
5*(q - 11)*(q + 6)**2
Factor -10*m**3 - 15*m**2 + 115*m + 60.
-5*(m - 3)*(m + 4)*(2*m + 1)
Let 2*c**2/9 - 2*c/9 - 4/9 = 0. What is c?
-1, 2
Solve 2*r**4/3 - 22*r**2/3 - 12*r - 16/3 = 0.
-2, -1, 4
Determine v so that -25*v**5/6 - 190*v**4/3 - 323*v**3 - 1660*v**2/3 + 275*v/6 + 250 = 0.
-5, -4/5, 3/5
Suppose 5*x**2 - 370*x + 6845 = 0. Calculate x.
37
What is l in -4*l**4 + 202*l**3 - 3366*l**2 + 17918*l + 9826 = 0?
-1/2, 17
Factor 4*w**4 - 156*w**3 + 1056*w**2 + 9680*w.
4*w*(w - 22)**2*(w + 5)
Factor p**2 - 4326*p + 4678569.
(p - 2163)**2
Determine x, given that 2*x**2/7 + 160*x + 1118/7 = 0.
-559, -1
Determine z so that 4*z**2/3 - 20*z + 104/3 = 0.
2, 13
Find n, given that 11*n**4/3 + 328*n**3/3 + 259*n**2/3 - 58*n/3 = 0.
-29, -1, 0, 2/11
Factor 2*b**3/3 + 13*b**2/3 - 26*b/3 - 16/3.
(b - 2)*(b + 8)*(2*b + 1)/3
Solve -2*t**5 + 46*t**4/5 - 84*t**3/5 + 76*t**2/5 - 34*t/5 + 6/5 = 0.
3/5, 1
Determine b, given that -2*b**3/5 - 12*b**2/5 - 22*b/5 - 12/5 = 0.
-3, -2, -1
Factor -4*i**4 - 17232*i**3 - 18576088*i**2 - 37100496*i - 18541636.
-4*(i + 1)**2*(i + 2153)**2
What is n in -5*n**2 + 7535*n - 15050 = 0?
2, 1505
Determine u so that -7*u**5/10 - 23*u**4/10 + 81*u**3/5 - 74*u**2/5 - 28*u/5 = 0.
-7, -2/7, 0, 2
Factor p**2 - 43*p + 390.
(p - 30)*(p - 13)
Find n such that -2*n**2/3 + 28*n + 86/3 = 0.
-1, 43
Factor -5*v**4 + 15*v**3 + 65*v**2 - 75*v.
-5*v*(v - 5)*(v - 1)*(v + 3)
Factor 2*x**5/9 + 10*x**4/9 - 28*x**3/9.
2*x**3*(x - 2)*(x + 7)/9
Factor q**2/5 - 106*q/5.
q*(q - 106)/5
Suppose -2*t**2 - 34*t - 132 = 0. What is t?
-11, -6
Factor -4*w**2/7 - 20968*w/7 - 27478564/7.
-4*(w + 2621)**2/7
Factor 4*s**2/7 - 15248*s/7 + 14531344/7.
4*(s - 1906)**2/7
Find w, given that 12*w**5 + 140*w**4 - 768*w**3 + 1008*w**2 - 256*w = 0.
-16, 0, 1/3, 2
Find y such that -y**2/4 + 46*y - 2116 = 0.
92
Factor 3*c**3/7 - 81*c**2/7 - 3*c/7 + 81/7.
3*(c - 27)*(c - 1)*(c + 1)/7
Suppose 3*a**3 - 6*a**2 + 3*a = 0. Calculate a.
0, 1
Factor -2*x**2/13 + 5520*x/13 - 3808800/13.
-2*(x - 1380)**2/13
Let 3*v**4/4 + 273*v**3/4 + 651*v**2/2 + 258*v = 0. Calculate v.
-86, -4, -1, 0
What is y in y**2/2 - 7*y/2 - 15 = 0?
-3, 10
Solve g**5 + 7*g**4 - g**3 - 7*g**2 = 0 for g.
-7, -1, 0, 1
Factor 3*h**5/5 + 12*h**4/5 - 36*h**3/5 - 162*h**2/5 + 81*h/5 + 486/5.
3*(h - 3)*(h - 2)*(h + 3)**3/5
Factor 2*p**4/3 + 4*p**3/3 - 56*p**2 - 240*p.
2*p*(p - 10)*(p + 6)**2/3
Factor -d**2 + 398*d/3 - 88.
-(d - 132)*(3*d - 2)/3
Find h such that -4*h**5 + 112*h**4 - 784*h**3 = 0.
0, 14
Find o such that o**5/3 + 7*o**4/3 + 17*o**3/3 + 17*o**2/3 + 2*o = 0.
-3, -2, -1, 0
Let -4*m**3 + 2360*m**2 + 4732*m + 2368 = 0. Calculate m.
-1, 592
Let 105*q**5 - 355*q**4 + 415*q**3 - 165*q**2 - 20*q + 20 = 0. What is q?
-2/7, 2/3, 1
Find y such that -y**2/2 + 57*y - 113/2 = 0.
1, 113
Factor d**3 + 136*d**2 + 135*d.
d*(d + 1)*(d + 135)
Determine x so that -2*x**3 + 246*x**2 + 498*x + 250 = 0.
-1, 125
Factor -3*f**3 - 18*f**2 + 27*f + 42.
-3*(f - 2)*(f + 1)*(f + 7)
Find v such that -v**2/3 - 16*v/3 + 12 = 0.
-18, 2
Factor -4*b**4 - 16*b**3 + 108*b**2 + 648*b + 864.
-4*(b - 6)*(b + 3)**2*(b + 4)
Factor 2*y**4 + 36*y**3 + 184*y**2 + 348*y + 198.
2*(y + 1)*(y + 3)**2*(y + 11)
Find m, given that 2*m**4 - 22*m**3/7 + 2*m**2/7 + 6*m/7 = 0.
-3/7, 0, 1
Determine w so that -5*w**3/3 + 590*w**2/3 - 2825*w/3 = 0.
0, 5, 113
Let -27*q**5/11 + 339*q**4/11 + 160*q**3/11 - 52*q**2/11 = 0. Calculate q.
-2/3, 0, 2/9, 13
Let -13*r**5/3 + 8*r**4 + 43*r**3/3 - 98*r**2/3 + 12*r + 8/3 = 0. Calculate r.
-2, -2/13, 1, 2
Find y such that 4*y**4 + 8*y**3 - 8*y - 4 = 0.
-1, 1
Factor h**4 + 383*h**3 + 48768*h**2 + 2048000*h - 2097152.
(h - 1)*(h + 128)**3
Suppose -3*a**2 + 1056*a = 0. What is a?
0, 352
Factor -k**2 + 203*k.
-k*(k - 203)
Suppose 40*r**5 - 108*r**4 + 40*r**3 + 36*r**2 - 8*r = 0. What is r?
-1/2, 0, 1/5, 1, 2
Suppose 2*d**3/15 - 2*d**2/3 + 4*d/5 = 0. Calculate d.
0, 2, 3
Factor -27*f**3 + 33*f**2 + 156*f - 36.
-3*(f - 3)*(f + 2)*(9*f - 2)
Factor -4*f**3/3 - 2812*f**2/3 + 4*f/3 + 2812/3.
-4*(f - 1)*(f + 1)*(f + 703)/3
Find o such that -o**3/7 + 36*o/7 = 0.
-6, 0, 6
Factor -5*v**2 + 2440*v - 7275.
-5*(v - 485)*(v - 3)
Determine v, given that v**3 - v**2 - 6*v = 0.
-2, 0, 3
Let 3*z**5 - 18*z**4 + 15*z**3 + 72*z**2 - 108*z = 0. Calculate z.
-2, 0, 2, 3
Determine x, given that -x**3/3 - x**2/3 + 2*x/3 = 0.
-2, 0, 1
Determine x, given that x**5/7 - 51*x**4/7 + 426*x**3/7 + 10810*x**2/7 - 90459*x/7 - 985527/7 = 0.
-9, 23
Solve s**3 + s**2 - 12*s = 0.
-4, 0, 3
Factor -a**3/4 + 103*a**2/4 - 2703*a/4 + 2601/4.
-(a - 51)**2*(a - 1)/4
Solve -4*t**2 + 188*t - 2040 = 0 for t.
17, 30
Factor -5*r**3 - 250*r**2 - 485*r - 240.
-5*(r + 1)**2*(r + 48)
Find g, given that 578*g**2/13 + 544*g + 1664 = 0.
-104/17
Solve 4*j**4/3 + 8*j**3 + 44*j**2/3 + 8*j = 0 for j.
-3, -2, -1, 0
Find c such that -2*c**2 + 3566*c/3 - 396 = 0.
1/3, 594
Let 2*a**5/3 + 2*a**4 + 2*a**3/3 - 2*a**2 - 4*a/3 = 0. What is a?
-2, -1, 0, 1
Factor -j**2/3 + 39*j.
-j*(j - 117)/3
Factor t**4 + 5*t**3 - 57*t**2 + 99*t.
t*(t - 3)**2*(t + 11)
Solve -2*h**2 - 190*h/7 - 324/7 = 0 for h.
-81/7, -2
Factor -2*p**2/11 + 6*p - 180/11.
-2*(p - 30)*(p - 3)/11
Find t, given that -t**4/5 + 269*t**3/5 - 18487*t**2/5 + 53067*t/5 = 0.
0, 3, 133
Solve -2*x**5/5 - 4*x**4/5 = 0.
-2, 0
Suppose -4*b**5 + 40*b**4 - 96*b**3 - 64*b**2 + 448*b - 384 = 0. Calculate b.
-2, 2, 6
Solve -38*q**2/5 - 8*q/5 = 0.
-4/19, 0
Suppose 5*r**4/2 - 75*r**3/2 + 185*r**2 - 330*r + 180 = 0. Calculate r.
1, 2, 6
Suppose -4*x**5 - 36*x**4 - 68*x**3 + 116*x**2 + 312*x + 160 = 0. What is x?
-5, -4, -1, 2
Determine g, given that g**4/6 + 316*g**3/3 + 49292*g**2/3 - 66992*g + 67416 = 0.
-318, 2
Suppose -z**5/4 + 