 + 101*b**2/9 + 520*b/9 + 100/9.
(b + 10)**2*(5*b + 1)/9
Solve -3*k**3 - 471*k**2 - 18720*k - 18252 = 0.
-78, -1
Find v such that -3*v**4 - 31*v**3/2 - 5*v**2/2 = 0.
-5, -1/6, 0
Factor -t**5/3 + 11*t**4/3 + 18*t**3 + 86*t**2/3 + 59*t/3 + 5.
-(t - 15)*(t + 1)**4/3
Let -4*l**5 + 448*l**4 - 1752*l**3 + 2608*l**2 - 1732*l + 432 = 0. What is l?
1, 108
Find s, given that -4*s**2/3 + 94*s/3 - 46/3 = 0.
1/2, 23
What is l in -3*l**3/7 - 48*l**2/7 + 51*l/7 = 0?
-17, 0, 1
Let -2*k**3/9 + 470*k**2 - 2818*k/3 + 4226/9 = 0. What is k?
1, 2113
Determine b so that 12*b**3 + 104*b**2 - 176*b - 160 = 0.
-10, -2/3, 2
Determine h so that -4*h**3 + 552*h**2 + 564*h - 1112 = 0.
-2, 1, 139
Factor -2*c**3 + 54*c**2.
-2*c**2*(c - 27)
Let 3*a**2 - 348*a + 3744 = 0. Calculate a.
12, 104
Find u such that 4*u**5/5 + 92*u**4/5 + 56*u**3 - 472*u**2/5 - 284*u/5 + 76 = 0.
-19, -5, -1, 1
Factor 3*t**2 - 1671*t - 3354.
3*(t - 559)*(t + 2)
Factor 3*x**4 - 312*x**3 + 306*x**2 + 312*x - 309.
3*(x - 103)*(x - 1)**2*(x + 1)
Solve -4*g**2/11 - 2*g/11 = 0 for g.
-1/2, 0
What is t in 3*t**2 - 93*t + 90 = 0?
1, 30
Factor 4*s**3 + 31332*s**2 + 81807852*s + 71200100524.
4*(s + 2611)**3
Suppose -4*x**2 + 2640*x - 435600 = 0. Calculate x.
330
Factor 3*k**2 + 4578*k + 1746507.
3*(k + 763)**2
Factor -3*w**4/5 + 3*w**3 + 108*w**2/5.
-3*w**2*(w - 9)*(w + 4)/5
Factor i**3/4 - 71*i**2.
i**2*(i - 284)/4
Factor 2*o**3 + 54*o**2.
2*o**2*(o + 27)
Determine f, given that f**2 + 844*f + 178084 = 0.
-422
Let -s**4/3 - 16*s**3/3 - 14*s**2/3 + 16*s/3 + 5 = 0. Calculate s.
-15, -1, 1
Factor -p**2/3 + 17*p/3 + 38/3.
-(p - 19)*(p + 2)/3
Factor 3*v**3 - 252*v**2/5 + 399*v/5 + 18.
3*(v - 15)*(v - 2)*(5*v + 1)/5
Suppose 4*l**5 = 0. What is l?
0
Solve -k**2/9 + 745*k/9 + 748/3 = 0 for k.
-3, 748
Factor 2*i**2 + 10*i + 8.
2*(i + 1)*(i + 4)
Factor d**2 + 498*d + 497.
(d + 1)*(d + 497)
Find x such that -2*x**3/9 + 2*x**2/3 + 56*x/9 - 40/3 = 0.
-5, 2, 6
Factor 2*w**2/17 - 50/17.
2*(w - 5)*(w + 5)/17
Let 5*o**2 - 25*o - 30 = 0. What is o?
-1, 6
Factor 2*m**4 + 10*m**3 + 8*m**2.
2*m**2*(m + 1)*(m + 4)
What is t in 5*t**2 - 135*t + 130 = 0?
1, 26
Factor 5*t**3 - 15*t**2 + 15*t - 5.
5*(t - 1)**3
Factor -3*n**3 + 690*n**2 + 1389*n + 696.
-3*(n - 232)*(n + 1)**2
Let 9*b**3/7 + 282*b**2/7 - 192*b/7 = 0. What is b?
-32, 0, 2/3
Factor 2*m**2/7 - 1608*m/7 + 323208/7.
2*(m - 402)**2/7
Factor 2*t**3/3 + 24*t**2 - 110*t - 400/3.
2*(t - 5)*(t + 1)*(t + 40)/3
Factor -3*z**3/5 - 81*z**2/5 - 81*z - 567/5.
-3*(z + 3)**2*(z + 21)/5
Factor 3*f**3 - 36*f**2 - 129*f - 90.
3*(f - 15)*(f + 1)*(f + 2)
Solve -6*d**5/11 + 38*d**4/11 - 68*d**3/11 + 8*d**2/11 + 48*d/11 = 0.
-2/3, 0, 2, 3
Factor b**4/5 - 2*b**3/5 - 39*b**2/5 - 68*b/5 - 32/5.
(b - 8)*(b + 1)**2*(b + 4)/5
Find h such that -2*h**2 - 32*h + 34 = 0.
-17, 1
Let 4*d**2/5 + 328*d/5 + 2368/5 = 0. Calculate d.
-74, -8
Factor -3*w**2 + 18*w - 24.
-3*(w - 4)*(w - 2)
Factor 2*g**2 - 160*g - 498.
2*(g - 83)*(g + 3)
Let 4*b**3 + 56*b**2 + 100*b + 48 = 0. What is b?
-12, -1
Suppose -12*n**5 - 48*n**4 + 321*n**3 - 471*n**2 + 258*n - 48 = 0. What is n?
-8, 1/2, 1, 2
Find p, given that -p**2/2 - 90*p = 0.
-180, 0
Let 120*y**3 + 186*y**2 + 87*y + 12 = 0. Calculate y.
-4/5, -1/2, -1/4
Factor q**2/7 + 55*q/7 + 106/7.
(q + 2)*(q + 53)/7
Find h such that -5*h**2 - 445*h - 440 = 0.
-88, -1
Let 2*b**2 - 192*b + 4608 = 0. Calculate b.
48
Factor 20*o**5 + 52*o**4.
4*o**4*(5*o + 13)
Find c, given that -5*c**4/2 + 37*c**3/2 - 42*c**2 + 34*c - 8 = 0.
2/5, 1, 2, 4
Determine i, given that i**2/2 + 639*i/2 + 637 = 0.
-637, -2
Suppose 2*k**5/13 - 2*k**4/13 - 186*k**3/13 + 362*k**2/13 + 184*k/13 - 360/13 = 0. What is k?
-10, -1, 1, 2, 9
Suppose 28*d**3/3 + 1448*d**2/3 + 1012*d/3 - 136 = 0. Calculate d.
-51, -1, 2/7
Suppose 3*l**2 + 150*l + 147 = 0. Calculate l.
-49, -1
Determine n, given that -2*n**3/3 + 4*n**2/3 + 8*n/3 - 16/3 = 0.
-2, 2
Solve -o**4 + 19*o**3 + 3*o**2 - 59*o + 38 = 0.
-2, 1, 19
Factor -2*j**2 + 2584*j - 834632.
-2*(j - 646)**2
Factor -5*l**3 + 40*l**2 + 45*l.
-5*l*(l - 9)*(l + 1)
Solve 21*g**5 + 50*g**4 - 121*g**3 + 58*g**2 - 8*g = 0 for g.
-4, 0, 2/7, 1/3, 1
Suppose a**2/7 - 396*a/7 + 395/7 = 0. Calculate a.
1, 395
Factor -2*a**3 - 316*a**2 - 624*a.
-2*a*(a + 2)*(a + 156)
Factor -2*x**4/3 + 272*x**3/3 - 2896*x**2 - 38080*x/3 - 39200/3.
-2*(x - 70)**2*(x + 2)**2/3
Let 5*c**4/4 + 55*c**3/4 + 30*c**2 - 45*c = 0. Calculate c.
-6, 0, 1
Factor -4*a**2/3 + 4*a + 16/3.
-4*(a - 4)*(a + 1)/3
Factor 3*j**5/5 - 3798*j**4/5 + 1602756*j**3/5 - 225454344*j**2/5.
3*j**2*(j - 422)**3/5
Factor 2*v**3/3 - 266*v**2/3 - 180*v.
2*v*(v - 135)*(v + 2)/3
Let i**3 - 24*i**2 + 84*i + 784 = 0. What is i?
-4, 14
Factor 2*j**4 - 22*j**3 + 20*j**2.
2*j**2*(j - 10)*(j - 1)
Suppose -4*p**4/3 - 11080*p**3/3 - 7683968*p**2/3 - 15323648*p/3 = 0. Calculate p.
-1384, -2, 0
Find n such that 2*n**4/7 + 48*n**3/7 + 44*n**2/7 - 48*n/7 - 46/7 = 0.
-23, -1, 1
Solve r**5/4 + 13*r**4/4 + 29*r**3/4 - 13*r**2/4 - 15*r/2 = 0.
-10, -3, -1, 0, 1
Factor f**2/5 + 129*f/5 + 128/5.
(f + 1)*(f + 128)/5
Solve -3*i**5 - 6*i**4 + 9*i**3 + 12*i**2 - 12*i = 0 for i.
-2, 0, 1
Find a, given that 4*a**2 + 140*a + 136 = 0.
-34, -1
Factor l**5/6 + 7*l**4/3 + 73*l**3/6 + 86*l**2/3 + 88*l/3 + 32/3.
(l + 1)**2*(l + 4)**3/6
Find f, given that -2*f**3/9 + 166*f**2/9 = 0.
0, 83
Suppose -y**5/2 + y**4 + 55*y**3/2 + 44*y**2 - 72*y = 0. Calculate y.
-4, 0, 1, 9
Suppose 31*x**4 + 29*x**3 - 2*x**2 = 0. Calculate x.
-1, 0, 2/31
Factor -2*j**2 - 70*j - 132.
-2*(j + 2)*(j + 33)
What is q in 2*q**5/3 - 164*q**4/15 + 574*q**3/15 - 188*q**2/5 + 48*q/5 = 0?
0, 2/5, 1, 3, 12
Factor -a**3 + 19*a**2 + 41*a + 21.
-(a - 21)*(a + 1)**2
Suppose -3*s**2 + 1896*s - 299568 = 0. What is s?
316
Let 2*k**3/11 + 32*k**2/11 + 122*k/11 + 12 = 0. Calculate k.
-11, -3, -2
Let -2*p**5/7 + 8*p**4/7 + 10*p**3/7 - 72*p**2/7 + 72*p/7 = 0. What is p?
-3, 0, 2, 3
Factor -b**4/4 + 11*b**3/4 - 9*b**2/4 - 11*b/4 + 5/2.
-(b - 10)*(b - 1)**2*(b + 1)/4
Let 3*p**2 - 591*p - 1800 = 0. Calculate p.
-3, 200
What is b in -5*b**3 - 203*b**2 + 292*b - 84 = 0?
-42, 2/5, 1
Let 3*c**5/2 - 18*c**4 + 24*c**3 + 63*c**2 - 51*c/2 - 45 = 0. What is c?
-1, 1, 3, 10
Let j**5 - 12*j**4 + 50*j**3 - 88*j**2 + 69*j - 20 = 0. Calculate j.
1, 4, 5
Determine v, given that -6*v**3/7 + 94*v**2/7 + 1044*v/7 - 736/7 = 0.
-8, 2/3, 23
Find l such that -l**4/9 + 28*l**3/9 - 293*l**2/9 + 1358*l/9 - 784/3 = 0.
6, 7, 8
Determine d so that -5*d**4 - 19*d**3 - 27*d**2 - 17*d - 4 = 0.
-1, -4/5
Factor -s**3/3 - 8*s**2 + 27*s.
-s*(s - 3)*(s + 27)/3
Let -n**3/8 - 11*n**2/8 + 15*n - 27/2 = 0. What is n?
-18, 1, 6
Solve a**2 + 188*a + 8836 = 0.
-94
Factor 12*x**3/7 + 846*x**2/7 + 60*x.
6*x*(x + 70)*(2*x + 1)/7
Let -g**4/3 + 31*g**3/3 - 95*g**2/3 - 2527*g/3 = 0. Calculate g.
-7, 0, 19
Factor -b**4/4 - 11*b**3/2 + 127*b**2/4 - 53*b + 27.
-(b - 2)**2*(b - 1)*(b + 27)/4
Suppose -2*v**5/13 + 4*v**4/13 + 16*v**3/13 + 4*v**2/13 - 14*v/13 - 8/13 = 0. What is v?
-1, 1, 4
Let -2*y**5/9 + 14*y**4/9 + 2*y**3 - 134*y**2/9 - 256*y/9 - 40/3 = 0. What is y?
-2, -1, 5, 6
Factor -v**5/9 + 6*v**4 - 108*v**3 + 648*v**2.
-v**2*(v - 18)**3/9
What is y in -4*y**2 - 104*y - 100 = 0?
-25, -1
Factor -s**2/8 - 355*s/2 + 1421/8.
-(s - 1)*(s + 1421)/8
Determine d, given that 9*d**5 - 3*d**4 - 14*d**3 + 2*d**2 + 5*d + 1 = 0.
-1, -1/3, 1
Factor -4*u**2/3 - 55760*u/3 - 194323600/3.
-4*(u + 6970)**2/3
Determine o so that 18*o**2/11 - 128*o + 312/11 = 0.
2/9, 78
Find g such that g**5/7 - 15*g**4/7 + 47*g**3/7 - 33*g**2/7 = 0.
0, 1, 3, 11
Solve -2*k**3/15 - 98*k**2/15 - 38*k/3 - 94/15 = 0 for k.
-47, -1
Factor 3*f**5 + 57*f**4 + 336*f**3 + 888*f**2 + 1104*f + 528.
3*(f + 2)**4*(f + 11)
Solve -18*x**3 + 210*x**2 - 494*x - 722 = 0 for x.
-1, 19/3
Factor -2*y**4 + 2*y**3 + 30*y**2 + 46*y + 20.
-2*(y - 5)*(y + 1)**2*(y + 2)
Determine d so that -d**4 + 21*d**3 + 27*d**2 - 1485*d - 4050 = 0.
-6, -3, 15
Find c such that -23*c**4 + 48*c**3 - 27*c**2 + 2*c = 0.
0, 2/23, 1
Suppose g**4/2 - g**3 - 7*g**2/2 - 2*g = 0. What is g?
-1, 0, 4
What is v in -4*v**5 - 72*v**4 + 352*v**3 - 64*v**2 - 1344*v + 1408 = 0?
-22, -2, 2
Find p such that 3*p**2 + 867*p - 870 = 0.
-290, 1
Let 3*t**5 - 60*t**4 + 111*t**3 - 54*t**2 = 0. What is t?
0, 1, 18
Factor 2*b**2/7 - 38*b/7 - 40/7.
2*(b - 20)*(b + 1)/7
So