= 0.
1, 2
Suppose -6*k**2/5 - 3*k = 0. Calculate k.
-5/2, 0
Factor 5*a**2 - 4520*a + 1021520.
5*(a - 452)**2
Find w, given that -w**3/7 + 67*w**2/7 + 68*w/7 = 0.
-1, 0, 68
Factor 3*f**2 - 12*f + 9.
3*(f - 3)*(f - 1)
Let -j**2/3 - 10*j/3 - 3 = 0. What is j?
-9, -1
Factor 4*k**2/7 + 624*k/7 - 628/7.
4*(k - 1)*(k + 157)/7
Solve -35*c**5 + 95*c**4 + 135*c**3 - 355*c**2 + 100*c + 60 = 0.
-2, -2/7, 1, 3
Find v, given that v**3/3 + 128*v**2/3 + 1127*v - 15870 = 0.
-69, 10
Find h such that 2*h**5/9 + 128*h**4/9 - 404*h**3/9 - 128*h**2/9 + 134*h/3 = 0.
-67, -1, 0, 1, 3
Determine s, given that 14*s**4/9 + 4*s**3/3 - 22*s**2/3 + 40*s/9 = 0.
-20/7, 0, 1
Factor -2*q**3 + 72*q**2 - 106*q - 1020.
-2*(q - 34)*(q - 5)*(q + 3)
Solve -12*w**4 - 690*w**3 - 43587*w**2/4 - 112161*w/4 - 35643/2 = 0 for w.
-109/4, -2, -1
Factor 3*y**2/5 + 252*y/5 + 5292/5.
3*(y + 42)**2/5
Factor -2*y**4 + 14*y**3 + 78*y**2 - 190*y + 100.
-2*(y - 10)*(y - 1)**2*(y + 5)
Determine m, given that m**2 + 23*m + 60 = 0.
-20, -3
Factor 105*h**3 - 10506*h**2 + 600*h.
3*h*(h - 100)*(35*h - 2)
Find q such that -q**3/4 - 9*q**2/4 + 30*q - 68 = 0.
-17, 4
Factor 16*g**3 - 68*g**2 + 64*g - 12.
4*(g - 3)*(g - 1)*(4*g - 1)
Factor -26*g**3/9 - 854*g**2/9 + 44*g/3.
-2*g*(g + 33)*(13*g - 2)/9
Factor 5*a**3 + 155*a**2 + 430*a + 280.
5*(a + 1)*(a + 2)*(a + 28)
Solve 2*u**2/7 + 600*u/7 + 1782/7 = 0 for u.
-297, -3
Factor 5*k**3/8 - 241*k**2/8 + 366*k - 72.
(k - 24)**2*(5*k - 1)/8
Factor -g**4/8 - g**3/4 + 3*g**2/2 - 7*g/4 + 5/8.
-(g - 1)**3*(g + 5)/8
Let -9*m**3/4 + 12*m**2 - 13*m + 4 = 0. What is m?
2/3, 4
Suppose -r**3/4 - 567*r**2 = 0. Calculate r.
-2268, 0
Find u such that u**3/10 + 23*u**2/5 + 336*u/5 + 1584/5 = 0.
-22, -12
Determine u so that 60*u**3 + 428*u**2 + 416*u + 48 = 0.
-6, -1, -2/15
Determine q, given that 2*q**2/9 + 452*q/9 - 304/3 = 0.
-228, 2
Suppose -4*z**4 - 424*z**3 - 2772*z**2 = 0. What is z?
-99, -7, 0
Determine r so that -20*r**4 + 96*r**3 - 60*r**2 - 16*r = 0.
-1/5, 0, 1, 4
Factor h**3/7 - 239*h**2/7 - 1214*h/7 - 1464/7.
(h - 244)*(h + 2)*(h + 3)/7
Suppose -14*g**5/13 + 248*g**4/13 + 3488*g**3/13 + 724*g**2/13 - 3474*g/13 - 972/13 = 0. Calculate g.
-9, -1, -2/7, 1, 27
Determine n, given that 3*n**3 - 52*n**2/3 - 52*n - 32/3 = 0.
-2, -2/9, 8
Let -9*s**4 + 231*s**3 - 933*s**2 + 1089*s - 378 = 0. What is s?
2/3, 1, 3, 21
Determine g, given that -8*g**2/7 - 872*g/7 - 23762/7 = 0.
-109/2
Factor 132*i**2 - 100*i - 32.
4*(i - 1)*(33*i + 8)
Determine g so that -21*g**4 - 48*g**3 + 156*g**2 + 48*g = 0.
-4, -2/7, 0, 2
Factor 2*x**3/13 + 10*x**2/13 - 98*x/13 - 490/13.
2*(x - 7)*(x + 5)*(x + 7)/13
Let -5*i**4 + 75*i**3 + 15*i**2 - 2035*i + 1950 = 0. Calculate i.
-5, 1, 6, 13
Suppose -3*v**4 - 1221*v**3 - 126048*v**2 - 367236*v = 0. Calculate v.
-202, -3, 0
Solve 162*f**4/7 - 9630*f**3/7 + 13652*f**2/7 - 664*f + 464/7 = 0.
2/9, 1, 58
Determine r so that 5*r**3 - 425*r**2 + 6240*r + 126720 = 0.
-11, 48
Factor 2*t**4 + 150*t**3 - 154*t**2 - 150*t + 152.
2*(t - 1)**2*(t + 1)*(t + 76)
Find p, given that 5*p**5 - 40*p**4 - 245*p**3 - 20*p**2 + 900*p + 720 = 0.
-3, -2, -1, 2, 12
What is z in -4*z**5 + 192*z**4 + 600*z**3 + 608*z**2 + 204*z = 0?
-1, 0, 51
Solve -38*j**4/5 - 2*j**3 + 66*j**2/5 + 2*j - 28/5 = 0.
-1, 14/19, 1
Find b, given that -5*b**2 + 70*b - 240 = 0.
6, 8
Factor -3*q**2 + 714*q.
-3*q*(q - 238)
Factor 2*d**4/3 + 208*d**3/9 - 70*d**2/9.
2*d**2*(d + 35)*(3*d - 1)/9
Factor 42*n**3 - 141*n**2 - 318*n - 135.
3*(n - 5)*(n + 1)*(14*n + 9)
Solve -2*y**3/9 - 50*y**2/9 - 332*y/9 - 160/3 = 0.
-15, -8, -2
Factor -3*x**4/4 - 339*x**3/2 - 12825*x**2 - 658125*x/2 - 1265625/4.
-3*(x + 1)*(x + 75)**3/4
Factor -3*q**2 + 28674*q - 68516523.
-3*(q - 4779)**2
Suppose -3*q**5 - 3*q**4 + 18*q**3 + 12*q**2 - 24*q = 0. Calculate q.
-2, 0, 1, 2
What is w in 2*w**3/13 + 836*w**2/13 + 87362*w/13 = 0?
-209, 0
Factor 4*d**5 - 28*d**4 - 32*d**3.
4*d**3*(d - 8)*(d + 1)
Factor -7*z**3 + 51*z**2 - 56*z + 12.
-(z - 6)*(z - 1)*(7*z - 2)
Find r such that -3*r**5/5 - 21*r**4/5 + 3*r**3/5 + 21*r**2/5 = 0.
-7, -1, 0, 1
Factor -n**4/4 - 2*n**3 - n**2/4 + 21*n/2.
-n*(n - 2)*(n + 3)*(n + 7)/4
Solve -2*p**2 - 1476*p + 2960 = 0.
-740, 2
Determine q so that q**2/3 - 8*q + 48 = 0.
12
Factor 3*i**4 - 27*i**3 - 12*i**2 + 468*i - 432.
3*(i - 6)**2*(i - 1)*(i + 4)
Factor -50*y**3/21 - 2360*y**2 + 13224*y/7 - 7936/21.
-2*(y + 992)*(5*y - 2)**2/21
Solve -b**5/3 - 2*b**4/3 + 5*b**3/3 + 2*b**2 = 0.
-3, -1, 0, 2
Find l such that l**2/7 - 302*l/7 + 43 = 0.
1, 301
What is g in 3*g**5 - 21*g**4 - 162*g**3 + 1236*g**2 - 2568*g + 1728 = 0?
-8, 2, 9
Factor 3*y**3 - 15*y**2 + 21*y - 9.
3*(y - 3)*(y - 1)**2
Find p such that 5*p**4 - 15*p**3 - 55*p**2 + 15*p + 50 = 0.
-2, -1, 1, 5
Factor -3*k**2/7 + 123*k - 2556/7.
-3*(k - 284)*(k - 3)/7
Determine y, given that 2*y**5 + 4*y**4 - 24*y**3 + 28*y**2 - 10*y = 0.
-5, 0, 1
Let -y**4/7 + 3*y**3/7 - y**2/7 - 3*y/7 + 2/7 = 0. Calculate y.
-1, 1, 2
Suppose 5*b**2 + 240*b + 235 = 0. Calculate b.
-47, -1
Factor 3*n**2 + 5124*n + 2187948.
3*(n + 854)**2
Solve -4*b**5/5 + 4*b**4 - 36*b**3/5 + 28*b**2/5 - 8*b/5 = 0.
0, 1, 2
Factor -2*w**3 + 38*w**2 - 140*w.
-2*w*(w - 14)*(w - 5)
Suppose -4*j**5 - 28*j**4 - 24*j**3 + 128*j**2 + 128*j = 0. Calculate j.
-4, -1, 0, 2
Determine j so that -4*j**2 - 240*j + 3796 = 0.
-73, 13
Factor -q**2/2 - 7*q/2 - 3.
-(q + 1)*(q + 6)/2
Suppose -2*y**4/7 + 174*y**3/7 - 4024*y**2/7 + 1416*y + 2016 = 0. What is y?
-1, 4, 42
Solve -q**4 + 292*q**3 + 885*q**2 = 0 for q.
-3, 0, 295
Let -4*p**5 + 44*p**3 - 24*p**2 - 112*p + 96 = 0. What is p?
-3, -2, 1, 2
Let f**2/4 - 19*f/4 + 17/2 = 0. What is f?
2, 17
Solve -21*y**2 + 19053*y - 5442 = 0 for y.
2/7, 907
Factor 2*y**3/7 + 108*y**2 + 10206*y.
2*y*(y + 189)**2/7
Determine k, given that -7*k**2/4 - 2613*k/4 - 373/2 = 0.
-373, -2/7
Factor 5*n**2 + 270*n.
5*n*(n + 54)
Solve c**4/3 + 10*c**3/3 + 7*c**2/3 - 6*c = 0 for c.
-9, -2, 0, 1
Solve -2*l**3/7 - 6*l**2/7 + 144*l/7 - 352/7 = 0 for l.
-11, 4
Solve 26*d**5/15 - 16*d**4/5 - 424*d**3/15 + 256*d**2/5 + 128*d/15 = 0 for d.
-4, -2/13, 0, 2, 4
What is b in 16*b**5 - 52*b**4 - 84*b**3 + 152*b**2 - 32*b = 0?
-2, 0, 1/4, 1, 4
Factor -2*f**3 - 22*f**2 - 56*f.
-2*f*(f + 4)*(f + 7)
Factor 2*o**4 + 438*o**3 + 24628*o**2 + 70848*o + 46656.
2*(o + 1)*(o + 2)*(o + 108)**2
Factor -3*j**3/4 + 69*j**2/2 - 1209*j/4 + 945/2.
-3*(j - 35)*(j - 9)*(j - 2)/4
Factor -4*w**2 + 124*w.
-4*w*(w - 31)
Let 2*j**2 + 956*j/7 + 272/7 = 0. Calculate j.
-68, -2/7
Find y, given that -13924*y**2 - 944*y - 16 = 0.
-2/59
Factor -r**3/2 - 4*r**2 + 33*r/2.
-r*(r - 3)*(r + 11)/2
Suppose 3*w**3 + 2664*w**2 + 788544*w + 77803008 = 0. What is w?
-296
Suppose -36*l**5/7 + 444*l**4/7 - 520*l**3/7 - 104*l**2/7 + 172*l/7 + 44/7 = 0. Calculate l.
-1/3, 1, 11
Factor 2*z**2/5 + 24*z/5.
2*z*(z + 12)/5
Suppose -p**4 + 22*p**3 - 128*p**2 + 224*p = 0. Calculate p.
0, 4, 14
Factor -4*x**2/3 - 304*x/3 - 5776/3.
-4*(x + 38)**2/3
Let 2*u**2/7 - 76*u + 5054 = 0. Calculate u.
133
Suppose -q**4/5 + 596*q**3/5 - 23520*q**2 + 1504000*q + 6400000 = 0. Calculate q.
-4, 200
Factor -3*h**5/2 - 27*h**4/2 - 45*h**3/2 - 21*h**2/2.
-3*h**2*(h + 1)**2*(h + 7)/2
Solve 4*r**3 - 1972*r**2 = 0.
0, 493
Find n such that -n**2 + 50*n + 159 = 0.
-3, 53
Factor -5*f**2/3 - 35*f/3 - 50/3.
-5*(f + 2)*(f + 5)/3
Factor 2*o**4/7 - 4*o**3/7 - 8*o**2/7 + 4*o/7 + 6/7.
2*(o - 3)*(o - 1)*(o + 1)**2/7
Factor r**3 + 15*r**2 - 96*r + 80.
(r - 4)*(r - 1)*(r + 20)
Solve -5*l**3 + 760*l**2 - 1500*l = 0.
0, 2, 150
Determine v, given that -9*v**5 - 38*v**4 + 190*v**3 + 80*v**2 - 181*v - 42 = 0.
-7, -1, -2/9, 1, 3
Determine p, given that p**2/7 + 260*p/7 + 16900/7 = 0.
-130
Factor -114*h**2 - 224*h + 8.
-2*(h + 2)*(57*h - 2)
What is r in -10*r**5 + 12*r**4/7 + 16*r**3/7 = 0?
-2/5, 0, 4/7
Factor -2*g**4/17 + 4*g**2/17 - 2/17.
-2*(g - 1)**2*(g + 1)**2/17
Solve 4*x**3 + 448*x**2 + 16340*x + 192296 = 0 for x.
-43, -26
Determine n so that -2*n**3 - 14*n**2 + 10*n + 150 = 0.
-5, 3
Find j, given that -3*j**2/2 - 117*j - 648 = 0.
-72, -6
Factor 4*d**2 + 108*d + 104.
4*(d + 1)*(d + 26)
Determine v, given that 4*v**3 + 54*v**2 + 42*v - 100 = 0.
-25/2, -2, 1
What is z in z**2 + 13*z + 12 = 0?
-12, -1
Factor 12*j**4 - 28*j**3 - 72*j**2 - 32*j.
4*j*(j - 4)*(j + 1)*(3*j + 2)
Factor -40*i**2 + 165*i - 20.
-