 Calculate z.
-3, -1, 397
Factor 2*b**4/7 + 2*b**3 + 32*b**2/7 + 24*b/7.
2*b*(b + 2)**2*(b + 3)/7
Suppose -2*u**5 - 6*u**4 + 8*u**3 = 0. Calculate u.
-4, 0, 1
Suppose 4*z**4 - 76*z**3 + 476*z**2 - 1076*z + 672 = 0. What is z?
1, 3, 7, 8
Find v such that -10*v**5 + 6*v**4 + 34*v**3 - 38*v**2 + 8 = 0.
-2, -2/5, 1
What is n in -5*n**3 - 25*n**2 - 20*n = 0?
-4, -1, 0
Factor -4*w**3 - 1572*w**2 - 205932*w - 8992364.
-4*(w + 131)**3
Factor -2*g**2/15 - 488*g/15 - 29768/15.
-2*(g + 122)**2/15
Factor -7*a**3 + 143*a**2 - 182*a - 152.
-(a - 19)*(a - 2)*(7*a + 4)
Factor -5*u**5 + 5*u**4 + 5*u**3 - 5*u**2.
-5*u**2*(u - 1)**2*(u + 1)
Find y, given that -3*y**2/4 + 1731*y/2 + 1734 = 0.
-2, 1156
Factor i**5 + 5*i**4 + i**3 - 17*i**2 - 22*i - 8.
(i - 2)*(i + 1)**3*(i + 4)
Determine o so that 2*o**5 - 817*o**4/2 + 20910*o**3 - 5202*o**2 = 0.
0, 1/4, 102
Factor 14*c**3/5 + 676*c**2/5 + 192*c/5.
2*c*(c + 48)*(7*c + 2)/5
Solve 4*l**3 + 14776*l**2 + 13660400*l + 27261728 = 0.
-1846, -2
Find f such that -2*f**4 + 6*f**3 + 216*f**2 - 440*f = 0.
-10, 0, 2, 11
Determine x so that 2*x**3/3 - 382*x**2/5 - 92*x/3 = 0.
-2/5, 0, 115
Factor -2*d**3/9 + 8*d**2/3 - 14*d/3 + 20/9.
-2*(d - 10)*(d - 1)**2/9
Factor 2*y**2/13 + 774*y/13 - 180.
2*(y - 3)*(y + 390)/13
Factor d**2/5 - 54*d/5 - 11.
(d - 55)*(d + 1)/5
Solve 3*i**4/7 + 1797*i**3/7 + 266373*i**2/7 - 117519*i - 155316 = 0 for i.
-301, -1, 4
What is o in -10*o**3/3 - 55*o**2/3 - 20*o = 0?
-4, -3/2, 0
Solve -2*n**5/5 + 42*n**4/5 - 18*n**3 - 1378*n**2/5 - 2028*n/5 = 0.
-3, -2, 0, 13
Let 5*t**3 + 25*t**2 - 5*t - 25 = 0. Calculate t.
-5, -1, 1
Factor -q**2/6 - 269*q/6 + 45.
-(q - 1)*(q + 270)/6
Factor -5*u**2 + 7580*u - 2872820.
-5*(u - 758)**2
Let 45*n**3 + 55*n**2 - 25*n - 35 = 0. What is n?
-1, 7/9
Factor 3*z**3 + 60*z**2 + 108*z.
3*z*(z + 2)*(z + 18)
Let 4*t**5 + 8*t**4 - 24*t**3 - 32*t**2 + 20*t + 24 = 0. Calculate t.
-3, -1, 1, 2
Suppose g**2 + 4979*g/2 + 2489/2 = 0. What is g?
-2489, -1/2
Factor -4*z**3/7 + 4*z**2 - 24*z/7.
-4*z*(z - 6)*(z - 1)/7
Determine t, given that t**3/7 + 82*t**2/7 + 608*t/7 + 1184/7 = 0.
-74, -4
Factor -g**2/5 + g + 14/5.
-(g - 7)*(g + 2)/5
Factor 3*d**3 + 969*d**2 - 1947*d + 975.
3*(d - 1)**2*(d + 325)
Factor -2*y**2 - 12*y + 32.
-2*(y - 2)*(y + 8)
Factor -2*x**5/5 + 46*x**4/5 + 324*x**3/5 + 136*x**2 + 464*x/5.
-2*x*(x - 29)*(x + 2)**3/5
Find p, given that -2*p**2/11 + 460*p/11 - 2250/11 = 0.
5, 225
Factor -d**4/4 - 4*d**3 - 61*d**2/4 - 33*d/2.
-d*(d + 2)*(d + 3)*(d + 11)/4
Suppose 2*t**2 - 672*t + 56448 = 0. Calculate t.
168
Determine f so that -f**2 + 6*f + 7 = 0.
-1, 7
Factor r**2/3 + 7*r - 46/3.
(r - 2)*(r + 23)/3
Solve u**4 - 91*u**3 + 522*u**2 - 1028*u + 680 = 0.
2, 85
Factor -c**4 - c**3 + 3*c**2 + c - 2.
-(c - 1)**2*(c + 1)*(c + 2)
Factor u**5 - 2*u**4 - 66*u**3 + 432*u**2 - 999*u + 810.
(u - 3)**4*(u + 10)
Factor -3*x**2/4 - 305*x/4 + 51/2.
-(x + 102)*(3*x - 1)/4
Factor x**3/4 - 19*x**2/4 + 16*x - 15.
(x - 15)*(x - 2)**2/4
Factor 5*c**2 - 20880*c + 21798720.
5*(c - 2088)**2
Find h, given that -4*h**5 - 40*h**4 - 88*h**3 + 128*h**2 + 380*h + 200 = 0.
-5, -1, 2
Factor -3*x**2 - 1005*x - 1002.
-3*(x + 1)*(x + 334)
Factor q**4/5 - 2664*q**3/5 + 2661336*q**2/5 - 1181633184*q/5 + 196741925136/5.
(q - 666)**4/5
Factor a**2/4 - 3*a/2 + 5/4.
(a - 5)*(a - 1)/4
Determine d so that -3*d**3/4 - 3*d**2 + 15*d/4 = 0.
-5, 0, 1
Factor -2*l**5 - 632*l**4 - 49928*l**3.
-2*l**3*(l + 158)**2
What is q in -2*q**2/13 - 4*q/13 = 0?
-2, 0
Factor 2*j**5 + 72*j**4 + 810*j**3 + 2700*j**2.
2*j**2*(j + 6)*(j + 15)**2
Let 38*n**3/3 - 12*n**2 - 224*n/3 = 0. What is n?
-2, 0, 56/19
Factor -4*l**3/3 - 68*l**2/3 + 152*l/3.
-4*l*(l - 2)*(l + 19)/3
Factor -2*x**3 + 714*x**2 + 2880*x + 2888.
-2*(x - 361)*(x + 2)**2
Suppose -2*n**4/9 + 2216*n**3/9 - 2212*n**2/9 - 2216*n/9 + 246 = 0. What is n?
-1, 1, 1107
Factor -5*b**2 + 47*b - 18.
-(b - 9)*(5*b - 2)
Suppose -9*r**5/11 + 39*r**4/11 - 34*r**3/11 - 10*r**2/11 + r + 3/11 = 0. Calculate r.
-1/3, 1, 3
Suppose -45*w**4/4 - 107*w**3/4 + 60*w**2 + 101*w - 48 = 0. What is w?
-3, -16/9, 2/5, 2
What is u in -38*u**5/11 - 40*u**4/11 - 2*u**3/11 = 0?
-1, -1/19, 0
Solve -2*o**2 + 36*o + 38 = 0 for o.
-1, 19
Factor -2*y**3/5 + 46*y**2/5 - 44*y/5.
-2*y*(y - 22)*(y - 1)/5
Let 3*m**2 + 3942*m + 1294947 = 0. What is m?
-657
Determine t, given that -2*t**5/11 + 284*t**4/11 - 10634*t**3/11 + 39192*t**2/11 - 38088*t/11 = 0.
0, 2, 69
Solve 3*f**4/4 + 9*f**3/4 - 3*f**2/4 - 9*f/4 = 0 for f.
-3, -1, 0, 1
Suppose h**4 + 1700*h**3 + 1083750*h**2 + 307062500*h + 32625390625 = 0. What is h?
-425
Factor 5*m**5 + 25*m**4 - 5*m**3 - 25*m**2.
5*m**2*(m - 1)*(m + 1)*(m + 5)
Find w such that -21*w**5 - 285*w**4 + 1836*w**3/7 + 13872*w**2/7 + 7296*w/7 + 144 = 0.
-14, -2, -2/7, 3
What is f in -21*f**5/4 - 69*f**4/4 - 9*f**3/2 + 21*f**2 + 6*f = 0?
-2, -2/7, 0, 1
Solve 3*h**2/7 + 1608*h/7 + 3204/7 = 0 for h.
-534, -2
Let 4*r**3 - 41*r**2/2 - 107*r/2 + 7 = 0. Calculate r.
-2, 1/8, 7
Factor -3*s**3 + 90*s**2 + 93*s.
-3*s*(s - 31)*(s + 1)
What is y in -2*y**2 + 12*y - 10 = 0?
1, 5
Factor -5*b**2/3 - 5*b/3 + 10/3.
-5*(b - 1)*(b + 2)/3
Find y such that 3*y**2/8 - 27*y + 486 = 0.
36
Factor -7*o**3/4 + 299*o**2/4 + 197*o/2 + 22.
-(o - 44)*(o + 1)*(7*o + 2)/4
Find x such that -2*x**2/11 + 194*x/11 + 216 = 0.
-11, 108
Determine m, given that 25*m**4 - 1390*m**3 - 4985*m**2 - 1770*m = 0.
-3, -2/5, 0, 59
Suppose -10*h**4/9 - 7*h**3/3 + 10*h**2/3 + 7*h/9 - 2/3 = 0. Calculate h.
-3, -1/2, 2/5, 1
Find x, given that -5*x**3 + 295*x**2 - 2575*x + 6125 = 0.
5, 49
Factor -4*h**3 + 200*h**2 - 188*h - 392.
-4*(h - 49)*(h - 2)*(h + 1)
Factor 3*x**2/2 - 6*x + 9/2.
3*(x - 3)*(x - 1)/2
Factor t**4/6 + t**3/3 - 5*t**2/2.
t**2*(t - 3)*(t + 5)/6
Solve -i**5/3 - 37*i**4/3 - 239*i**3/3 + 1873*i**2/3 - 1120*i + 588 = 0 for i.
-21, 1, 2
Suppose -4*f**3 + 4*f**2 + 4*f - 4 = 0. What is f?
-1, 1
Solve -r**4/2 + 5*r**3/2 + 3*r**2 = 0.
-1, 0, 6
Factor 2*b**4/23 + 16*b**3/23 + 14*b**2/23.
2*b**2*(b + 1)*(b + 7)/23
Suppose 2*o**3 + 4*o**2 - 450*o - 900 = 0. Calculate o.
-15, -2, 15
Factor -12*i**3/7 - 38*i**2/7 - 40*i/7 - 2.
-2*(i + 1)**2*(6*i + 7)/7
Factor -y**3/3 - 22*y**2 - 315*y + 4900/3.
-(y - 4)*(y + 35)**2/3
Let -25*b**4 + 80*b**3 - 24*b**2 - 64*b - 16 = 0. Calculate b.
-2/5, 2
Determine i, given that -i**4/4 - 3*i**3/2 + 37*i**2/4 + 93*i/2 + 36 = 0.
-8, -3, -1, 6
Determine x so that -2*x**2/11 + 162*x/11 - 316/11 = 0.
2, 79
Solve -6*z**2 - 33*z/2 + 9/2 = 0 for z.
-3, 1/4
What is u in 3*u**3/8 + 81*u**2/4 - 171*u/8 - 165/4 = 0?
-55, -1, 2
Solve 5*o**3 - 420*o**2 + 1615*o - 1200 = 0.
1, 3, 80
Solve -4*w**2/7 - 364*w = 0.
-637, 0
Factor 2*u**3/19 - 112*u**2/19 + 1450*u/19 + 3364/19.
2*(u - 29)**2*(u + 2)/19
What is j in 122*j**3 + 368*j**2 - 482*j - 8 = 0?
-4, -1/61, 1
Find a such that 36*a**5 - 96*a**4 + 33*a**3 + 33*a**2 - 6*a = 0.
-1/2, 0, 1/6, 1, 2
Factor h**2/6 + 77*h/6 - 54.
(h - 4)*(h + 81)/6
Factor 4*s**3/3 - 28*s**2/3 - 164*s/3 - 44.
4*(s - 11)*(s + 1)*(s + 3)/3
Determine r, given that 2*r**2 + 126*r + 124 = 0.
-62, -1
Factor 3*w**4/8 + 93*w**3/8 - 999*w**2/8 + 3159*w/8 - 405.
3*(w - 3)**3*(w + 40)/8
Let -v**3/3 - 28*v**2 - 588*v = 0. Calculate v.
-42, 0
Factor c**2 - 149*c + 294.
(c - 147)*(c - 2)
Factor -f**2/5 - 199*f/5 - 198/5.
-(f + 1)*(f + 198)/5
Let o**2 + 7*o + 10 = 0. Calculate o.
-5, -2
Find g, given that 2*g**5/5 + 56*g**4/5 + 584*g**3/5 + 2688*g**2/5 + 4608*g/5 = 0.
-8, -6, 0
Factor -f**2/3 - 1130*f/3 - 319225/3.
-(f + 565)**2/3
Factor 5*y**5 + 30*y**4 + 40*y**3 - 10*y**2 - 45*y - 20.
5*(y - 1)*(y + 1)**3*(y + 4)
Let -z**2/7 - 15*z/7 + 16/7 = 0. Calculate z.
-16, 1
Let 28*o**2 + 15616*o - 4464 = 0. What is o?
-558, 2/7
Factor -512*v**3 - 928*v**2 + 375*v/2 - 9.
-(v + 2)*(32*v - 3)**2/2
What is x in 35*x**4 - 84145*x**3/3 + 16831985*x**2/3 + 10444045*x/3 + 1608010/3 = 0?
-1/3, -2/7, 401
Suppose -2*j**3/11 - 18*j**2/11 - 12*j/11 + 32/11 = 0. Calculate j.
-8, -2, 1
Determine x so that -x**2/9 - 265*x/9 - 88/3 = 0.
-264, -1
Solve i**3/3 - 152*i**2/3 + 301*i/3 - 50 = 0 for i.
1, 150
Determine h so that -21*h**3/2 + 78*h**2 - 78*h - 72 = 0.
-4/7, 2, 6
Determine h, given that -h**3/2 + 79*h**2/3 - 1066*h/3 + 676/3 = 0.
2/3, 26
Factor a**2 - 24*a + 119.
(a - 17)*(a - 7)
Factor -4*g**3 + 88*g**2 + 292*g + 200.
-4*(g - 25)*(g +