, -1/4
Determine h, given that -87*h**3/4 - 45*h**2 - 99*h/4 - 3/2 = 0.
-1, -2/29
Suppose -3*d**3 - 405*d**2 - 13464*d + 13872 = 0. What is d?
-68, 1
Let v**4 + 5*v**3 + 4*v**2 = 0. What is v?
-4, -1, 0
Factor 4*b**2/9 - 3596*b/9 - 7208/9.
4*(b - 901)*(b + 2)/9
Factor 4*u**2 - 40*u - 800.
4*(u - 20)*(u + 10)
Factor p**2 + 994*p.
p*(p + 994)
Factor -3*l**2/4 + 27*l/4 - 21/2.
-3*(l - 7)*(l - 2)/4
Factor -4*a**2/9 + 224*a/9 + 464/9.
-4*(a - 58)*(a + 2)/9
Factor -12*i**3 - 68*i**2 + 12*i + 68.
-4*(i - 1)*(i + 1)*(3*i + 17)
Solve -w**4/8 + 25*w**3/8 + 81*w**2/8 + 83*w/8 + 7/2 = 0.
-1, 28
Determine q, given that -5*q**4 - 305*q**3 - 5985*q**2 - 33075*q + 92610 = 0.
-21, 2
Factor -3*y**2 - 14010*y - 16356675.
-3*(y + 2335)**2
Factor 3*u**3 - 117*u**2 - 372*u - 252.
3*(u - 42)*(u + 1)*(u + 2)
Find r, given that 4*r**3 + 22*r**2 + 8*r - 10 = 0.
-5, -1, 1/2
Factor 2*i**2 + 25*i/2 - 21/2.
(i + 7)*(4*i - 3)/2
Find u, given that u**4 - 26*u**3 + 149*u**2 - 316*u + 228 = 0.
2, 3, 19
Factor -x**2/6 + 5*x/3 - 8/3.
-(x - 8)*(x - 2)/6
Solve -2*l**2 - 122*l = 0.
-61, 0
Factor 5*z**3 - 25*z**2 - 220*z - 300.
5*(z - 10)*(z + 2)*(z + 3)
Factor 3*v**3 + 1761*v**2 + 257544*v - 259308.
3*(v - 1)*(v + 294)**2
Find h, given that 4*h**4 - 20*h**3 - 28*h**2 + 20*h + 24 = 0.
-1, 1, 6
Factor -2*s**3/3 + 2*s**2/3 + 24*s - 24.
-2*(s - 6)*(s - 1)*(s + 6)/3
Factor 4*x**5 + 32*x**4 - 288*x**3 + 640*x**2 - 448*x.
4*x*(x - 2)**3*(x + 14)
Factor -5*z**5 + 710*z**4 - 33840*z**3 + 552250*z**2 - 519115*z.
-5*z*(z - 47)**3*(z - 1)
Suppose 4*p**5 - 25*p**4 + 54*p**3 - 52*p**2 + 22*p - 3 = 0. What is p?
1/4, 1, 3
Solve m**3/3 + 19*m**2/3 + 32*m + 48 = 0 for m.
-12, -4, -3
Find w such that 2*w**2/17 + 96*w/17 + 184/17 = 0.
-46, -2
Suppose -560*l**3 - 120*l**2 + 45*l + 10 = 0. Calculate l.
-1/4, 2/7
Let -1445*d**5 + 4675*d**4 - 3930*d**3 + 740*d**2 - 40*d = 0. What is d?
0, 2/17, 1, 2
Determine p so that 4*p**2 - 168*p + 1764 = 0.
21
Factor p**3 - 148*p**2 + 5325*p + 11250.
(p - 75)**2*(p + 2)
Factor 5*m**5 + 5*m**4 - 20*m**3 - 20*m**2.
5*m**2*(m - 2)*(m + 1)*(m + 2)
Factor -4*c**3 + 27276*c**2 - 61998348*c + 46974081668.
-4*(c - 2273)**3
Solve 3*d**4 - 15*d**3 + 18*d**2 + 12*d - 24 = 0 for d.
-1, 2
Factor -n**3 + 136*n**2 - 789*n + 1170.
-(n - 130)*(n - 3)**2
Factor -2*o**3/25 - 62*o**2/5.
-2*o**2*(o + 155)/25
Factor -2*g**3/11 + 12822*g**2/11 - 27400614*g/11 + 19518370706/11.
-2*(g - 2137)**3/11
Suppose -3*x**4/7 + 162*x**3/7 - 2175*x**2/7 - 648*x/7 + 8748/7 = 0. What is x?
-2, 2, 27
What is x in 4*x**5/7 + 64*x**4/7 + 356*x**3/7 + 824*x**2/7 + 816*x/7 + 288/7 = 0?
-6, -2, -1
Let 4*b**2/9 - 40*b/3 - 256/9 = 0. What is b?
-2, 32
Let -3*w**2/4 - 567*w/4 - 555 = 0. Calculate w.
-185, -4
Find g such that 88*g**5 - 346*g**4 + 328*g**3 + 24*g**2 = 0.
-3/44, 0, 2
What is z in 4*z**3/3 + 4*z**2/3 - 484*z/3 - 484/3 = 0?
-11, -1, 11
Let -3*q**2/7 - 222*q/7 = 0. What is q?
-74, 0
Suppose -8*t**5 + 140*t**4 - 604*t**3 + 964*t**2 - 636*t + 144 = 0. What is t?
1/2, 1, 3, 12
Factor -5*p**3 + 545*p**2 + 1670*p + 1120.
-5*(p - 112)*(p + 1)*(p + 2)
Factor y**4/2 + 6*y**3 - 267*y**2/2 + 301*y + 1176.
(y - 7)**2*(y + 2)*(y + 24)/2
Solve -g**2 - 14*g - 13 = 0.
-13, -1
Determine s so that 2*s**4 + 8*s**3 + 2*s**2 - 12*s = 0.
-3, -2, 0, 1
Factor 5*u**3 - 145*u**2 - 325*u + 465.
5*(u - 31)*(u - 1)*(u + 3)
Factor 4*a**3 + 180*a**2 - 376*a.
4*a*(a - 2)*(a + 47)
Determine c, given that 60*c**5 - 886*c**4 + 3566*c**3 - 3918*c**2 - 1386*c + 324 = 0.
-2/5, 1/6, 3, 9
Let -40*u**2 + 812*u + 588 = 0. What is u?
-7/10, 21
Determine w, given that w**2/6 + 1069*w/3 + 1142761/6 = 0.
-1069
Let b**4/3 - 3*b**3 + 2*b**2 + 16*b/3 = 0. What is b?
-1, 0, 2, 8
Solve -4*y**5/5 - 64*y**4/5 - 12*y**3 + 688*y**2/5 - 112*y = 0.
-14, -5, 0, 1, 2
Factor -m**3/5 - 7*m**2/5 + 18*m/5.
-m*(m - 2)*(m + 9)/5
Factor -k**4/6 - k**3 + 2*k**2 + 19*k/3 + 7/2.
-(k - 3)*(k + 1)**2*(k + 7)/6
Factor 2*l**3/5 - 1722*l**2 + 2471070*l - 1181995150.
2*(l - 1435)**3/5
Solve 10*r**5/21 + 92*r**4/21 + 8*r**3 + 100*r**2/21 + 2*r/3 = 0 for r.
-7, -1, -1/5, 0
Solve 5*m**3/3 - 40*m**2/3 + 35*m/3 = 0.
0, 1, 7
Factor -2*w**4/5 + 4*w**3/5 - 2*w**2/5.
-2*w**2*(w - 1)**2/5
Factor -d**4/3 + 25*d**3/3 - 77*d**2 + 931*d/3 - 1372/3.
-(d - 7)**3*(d - 4)/3
Suppose -2*j**3/5 + 14*j**2 - 358*j/5 + 58 = 0. What is j?
1, 5, 29
What is t in t**4 + 335*t**3 + 37296*t**2 + 1367296*t - 1404928 = 0?
-112, 1
Factor 2*f**4 + 20*f**3 - 174*f**2 + 288*f.
2*f*(f - 3)**2*(f + 16)
Factor f**2 - 150*f + 149.
(f - 149)*(f - 1)
Factor d**5/4 - 2*d**4 + 4*d**3 + 4*d**2 - 20*d + 16.
(d - 4)*(d - 2)**3*(d + 2)/4
Determine m so that -9*m**4 + 55*m**3/3 - 29*m**2/3 + m/3 = 0.
0, 1/27, 1
Factor x**4 - 24*x**3 - 78*x**2 - 80*x - 27.
(x - 27)*(x + 1)**3
Let z**5/5 - 8*z**4/5 + 22*z**3/5 - 28*z**2/5 + 17*z/5 - 4/5 = 0. Calculate z.
1, 4
Find k such that 2*k**5/7 + 18*k**4/7 - 26*k**3/7 - 274*k**2/7 + 96*k - 56 = 0.
-7, 1, 2
Find x, given that 4*x**4 + 28*x**3 - 24*x**2 - 288*x = 0.
-6, -4, 0, 3
Factor -m**3/3 - 49*m**2/3 - 95*m/3 - 47/3.
-(m + 1)**2*(m + 47)/3
Suppose 2*h**4/3 - 1222*h**3/3 + 6076*h**2/3 - 9704*h/3 + 1616 = 0. What is h?
1, 2, 606
Determine r, given that 3*r**4 - 324*r**3 + 12972*r**2 - 228096*r + 1486848 = 0.
22, 32
What is w in -w**5/2 - 21*w**4/2 - 97*w**3/2 + 21*w**2/2 + 49*w = 0?
-14, -7, -1, 0, 1
What is v in -v**3 - 13*v**2 + 14*v = 0?
-14, 0, 1
Determine j, given that -2*j**3/13 + 3710*j**2/13 + 7426*j/13 + 3714/13 = 0.
-1, 1857
Find c such that c**3/9 + 718*c**2/9 - 2884*c/9 + 2888/9 = 0.
-722, 2
What is h in -h**3/4 + 2*h**2 + 11*h/4 - 9/2 = 0?
-2, 1, 9
Solve -a**3/3 + 12*a**2 - 108*a = 0 for a.
0, 18
Factor -9*m**4 + 4674*m**3 - 609949*m**2 + 807044*m - 268324.
-(m - 259)**2*(3*m - 2)**2
Factor 2*j**2/9 + 14584*j/9 + 26586632/9.
2*(j + 3646)**2/9
Find q, given that -80*q**5 + 1365*q**4 - 5*q**3 - 1365*q**2 + 85*q = 0.
-1, 0, 1/16, 1, 17
Factor -3*i**3 + 9*i**2 + 567*i + 2499.
-3*(i - 17)*(i + 7)**2
Find w, given that -w**5 - 21*w**4 - 42*w**3 + 758*w**2 - 741*w - 1521 = 0.
-13, -1, 3
Determine x so that x**2/5 + 19*x/5 = 0.
-19, 0
Factor 7*o**2 - 493*o + 210.
(o - 70)*(7*o - 3)
Suppose 5*d**3/2 + 55*d**2/2 + 175*d/2 + 125/2 = 0. What is d?
-5, -1
Factor -s**3 + 287*s**2 - 1132*s.
-s*(s - 283)*(s - 4)
Find c such that -2*c**3 + 98*c**2 - 836*c = 0.
0, 11, 38
Determine l, given that -l**5/2 + 247*l**4/2 - 15859*l**3/2 + 75145*l**2/2 - 59048*l + 29282 = 0.
1, 2, 121
Factor -q**3/6 + q**2/3 + 2*q/3 - 4/3.
-(q - 2)**2*(q + 2)/6
Factor y**3/3 + 7*y**2/3 - 8*y/3.
y*(y - 1)*(y + 8)/3
Factor t**5/2 + t**4/2 - t**3 - t**2 + t/2 + 1/2.
(t - 1)**2*(t + 1)**3/2
Find m such that -3*m**2/2 + 69*m/2 = 0.
0, 23
Find k, given that k**4/5 - 134*k**3/5 + 396*k**2/5 - 394*k/5 + 131/5 = 0.
1, 131
Suppose a**3 + 185*a**2 + 8463*a - 8649 = 0. Calculate a.
-93, 1
Factor -b**2/6 - 38*b/3 - 70.
-(b + 6)*(b + 70)/6
Factor c**3 + 98*c**2 + 97*c.
c*(c + 1)*(c + 97)
Factor -5*f**2/7 + 1608*f/7 - 963/7.
-(f - 321)*(5*f - 3)/7
Suppose 4*c**4 + 344*c**3 - 4*c**2 - 344*c = 0. What is c?
-86, -1, 0, 1
Find w such that -3*w**4 - 27*w**3 - 21*w**2 + 27*w + 24 = 0.
-8, -1, 1
Factor -5*j**4 - 125*j**3 - 345*j**2 - 335*j - 110.
-5*(j + 1)**3*(j + 22)
Factor -4*b**2 + 252*b + 1656.
-4*(b - 69)*(b + 6)
Let 5*q**3 - 415*q**2 + 3370*q - 2960 = 0. Calculate q.
1, 8, 74
Determine l, given that -5*l**3 + 270*l**2 + 560*l = 0.
-2, 0, 56
Factor 5*j**3/2 + 60*j**2 - 875*j/2 + 375.
5*(j - 5)*(j - 1)*(j + 30)/2
Find l such that 4*l**3 - 48*l**2 + 92*l + 144 = 0.
-1, 4, 9
Let -270*v**4 - 815*v**3 + 1605*v**2 + 2190*v + 40 = 0. What is v?
-4, -1, -1/54, 2
Factor r**2 + 444*r + 49284.
(r + 222)**2
Solve f**5/3 - 4*f**4/3 - 11*f**3 + 48*f**2 - 36*f = 0 for f.
-6, 0, 1, 3, 6
Solve -3*j**3 + 36*j**2 - 123*j + 90 = 0.
1, 5, 6
Solve w**4/2 - 13*w**3 + 69*w**2/2 = 0 for w.
0, 3, 23
Factor 2*k**5 - 42*k**3 - 40*k**2.
2*k**2*(k - 5)*(k + 1)*(k + 4)
Suppose -16*v**5 + 3156*v**4 - 772*v**3 - 3156*v**2 + 788*v = 0. What is v?
-1, 0, 1/4, 1, 197
Solve z**3/7 + 205*z**2/7 - 622*z/7 + 416/7 = 0.
-208, 1, 2
Determine t, given that 3*t**4 - 27*t**2 + 12*t + 36 = 0.
-3, -1, 2
Determine q, given that q**4/4 - 25*q**3/4 + 47*q**2/4 - 23*q/4 = 0.
0, 1, 23
Suppose -r**4/12 + 9*r**3/4 - 17*r**2/4 + 25*r/12 = 0. What is r?
0, 1, 25
Suppose s**5/3