12 = 0.
-8, -1, 2, 7
Factor 3*k**3/7 + 573*k**2/7 - 2328*k/7 + 2340/7.
3*(k - 2)**2*(k + 195)/7
Determine j so that 3*j**5/2 - 3*j**4 - 33*j**3/2 + 18*j**2 + 54*j = 0.
-2, 0, 3
Factor -4*b**4 + 20*b**3 - 24*b**2.
-4*b**2*(b - 3)*(b - 2)
Determine k so that k**4/5 - 11*k**3 + 828*k**2/5 - 364*k - 2704/5 = 0.
-1, 4, 26
Solve -300*x**5/7 + 2460*x**4/7 - 4383*x**3/7 + 372*x**2 - 57*x + 18/7 = 0 for x.
1/10, 1, 6
Factor -4*j**4 - 348*j**3 + 708*j**2 - 356*j.
-4*j*(j - 1)**2*(j + 89)
Factor 2*g**5 - 28*g**4 + 128*g**3 - 236*g**2 + 190*g - 56.
2*(g - 7)*(g - 4)*(g - 1)**3
Factor 4*x**2 - 5452*x + 16320.
4*(x - 1360)*(x - 3)
Find c such that -3*c**2 + 1170*c - 114075 = 0.
195
Factor 512*f**5/7 - 3008*f**4/7 - 744*f**3/7 + 1971*f**2/7 + 1107*f/7 + 162/7.
(f - 6)*(f - 1)*(8*f + 3)**3/7
Determine s, given that -s**5 + 20*s**4 - 137*s**3 + 394*s**2 - 492*s + 216 = 0.
1, 2, 6, 9
Suppose -2*d**3/5 + 4834*d**2/5 - 2918526*d/5 - 2923362/5 = 0. Calculate d.
-1, 1209
Find i, given that -14*i**4/5 - 6*i**3/5 + 36*i**2/5 - 16*i/5 = 0.
-2, 0, 4/7, 1
Find i such that -4*i**4 + 4*i**3 + 12*i**2 - 4*i - 8 = 0.
-1, 1, 2
Factor -5*v**5 + 80*v**4 - 345*v**3 + 450*v**2.
-5*v**2*(v - 10)*(v - 3)**2
Find r, given that -3*r**5 - 12*r**4 + 18*r**3 + 96*r**2 + 105*r + 36 = 0.
-4, -1, 3
Find l such that 4*l**2 + 56*l - 60 = 0.
-15, 1
Suppose 2*i**3 - 2228*i**2 + 13341*i/2 - 9999/2 = 0. Calculate i.
3/2, 1111
Factor -5*y**2 - 65*y + 70.
-5*(y - 1)*(y + 14)
Let 4*z**3 + 76*z**2 - 936*z + 2016 = 0. Calculate z.
-28, 3, 6
Factor 2*i**3/9 - 106*i**2/9 - 226*i/9 + 110/3.
2*(i - 55)*(i - 1)*(i + 3)/9
Factor -2*z**2/21 + 478*z/21 - 316/7.
-2*(z - 237)*(z - 2)/21
Factor -2*y**2/3 + 86*y/3 + 60.
-2*(y - 45)*(y + 2)/3
Let -4*j**5 + 24*j**4 + 80*j**3 - 96*j**2 - 256*j = 0. What is j?
-2, 0, 2, 8
Factor -2*c**5/5 - 8*c**4/5 + 4*c**3/5 + 24*c**2/5 - 18*c/5.
-2*c*(c - 1)**2*(c + 3)**2/5
Determine k, given that 2*k**2/5 + 44*k/5 + 242/5 = 0.
-11
Let v**4/9 + 4*v**3/9 = 0. Calculate v.
-4, 0
Determine n so that n**3 - 3255*n**2 - n + 3255 = 0.
-1, 1, 3255
Find w, given that 9*w**5 + 129*w**4 - 117*w**3 - 405*w**2 + 12*w + 180 = 0.
-15, -1, 2/3, 2
Find z such that -2*z**2/15 - 406*z/5 + 244/3 = 0.
-610, 1
Determine m so that 25*m**4 + 635*m**3 - 17600*m**2 - 7140*m = 0.
-42, -2/5, 0, 17
Factor -2*l**2 - 1326*l + 3996.
-2*(l - 3)*(l + 666)
Factor 5*h**5 - 50*h**4 + 120*h**3.
5*h**3*(h - 6)*(h - 4)
Factor 3*p**2 - 105*p.
3*p*(p - 35)
Find f such that -4*f**4 - 664*f**3 - 27552*f**2 + 664*f + 27556 = 0.
-83, -1, 1
Solve 4*y**3 - 652*y**2 - 4*y + 652 = 0.
-1, 1, 163
Factor 5*k**3/3 + 67*k**2/3 + 136*k/3 + 44/3.
(k + 2)*(k + 11)*(5*k + 2)/3
Factor b**3/9 - 32*b**2/9 + 221*b/9 + 578/9.
(b - 17)**2*(b + 2)/9
Factor -2*f**3/5 - 28*f**2/5 - 22*f/5 + 52/5.
-2*(f - 1)*(f + 2)*(f + 13)/5
What is j in 4*j**3 + 72*j**2 + 324*j = 0?
-9, 0
Factor -9*b**2/2 - 327*b/2 - 309.
-3*(b + 2)*(3*b + 103)/2
Factor d**5/5 - d**4/5 - 3*d**3/5 + d**2/5 + 2*d/5.
d*(d - 2)*(d - 1)*(d + 1)**2/5
Factor 4*k**4 - 127*k**3 + 432*k**2 - 332*k - 112.
(k - 28)*(k - 2)**2*(4*k + 1)
Factor -4*m**2 - 904*m + 9440.
-4*(m - 10)*(m + 236)
Suppose 2*h**4 - 19*h**3 - 72*h**2 + 319*h - 230 = 0. Calculate h.
-5, 1, 2, 23/2
Solve -25*i**5 - 290*i**4 + 445*i**3 - 130*i**2 = 0.
-13, 0, 2/5, 1
Factor -3*v**4/4 - 21*v**3 - 393*v**2/2 - 693*v - 3267/4.
-3*(v + 3)**2*(v + 11)**2/4
Factor -2*s**3/5 - 2*s**2 + 4*s/5 + 48/5.
-2*(s - 2)*(s + 3)*(s + 4)/5
Determine q, given that -3*q**3 - 24*q**2 - 57*q - 36 = 0.
-4, -3, -1
Suppose l**5/9 + 2*l**4/9 - l**3 - 2*l**2/9 + 8*l/9 = 0. Calculate l.
-4, -1, 0, 1, 2
Factor -3*p**4 - 405*p**3 - 801*p**2 - 399*p.
-3*p*(p + 1)**2*(p + 133)
Let -2*i**2/9 + 68*i - 610/9 = 0. Calculate i.
1, 305
Suppose 2*h**2/5 - 14*h/5 = 0. What is h?
0, 7
Let -n**2/3 + 31*n/3 - 36 = 0. What is n?
4, 27
Suppose -75*d**3/7 - 120*d**2 - 159*d/7 + 66/7 = 0. What is d?
-11, -2/5, 1/5
Factor y**4/4 + 5*y**3/4 - 14*y**2 - 15*y.
y*(y - 6)*(y + 1)*(y + 10)/4
Let a**3 + 25*a**2/4 + 19*a/2 + 2 = 0. Calculate a.
-4, -2, -1/4
Find i, given that -i**2 + 12*i - 20 = 0.
2, 10
Determine p so that -8*p**4 - 38*p**3 + 114*p**2 - 82*p + 14 = 0.
-7, 1/4, 1
Factor 3*b**3 - 153*b**2 + 297*b - 147.
3*(b - 49)*(b - 1)**2
Suppose c**5 - 18*c**4 + 61*c**3 - 72*c**2 + 28*c = 0. What is c?
0, 1, 2, 14
Factor -2*n**5 - 46*n**4 - 224*n**3.
-2*n**3*(n + 7)*(n + 16)
Factor s**2/2 + 65*s/2 + 177.
(s + 6)*(s + 59)/2
Solve -2*k**5/17 + 80*k**4/17 + 10*k**3/17 - 400*k**2/17 - 8*k/17 + 320/17 = 0 for k.
-2, -1, 1, 2, 40
Factor -4*t**4 + 152*t**3 + 844*t**2 + 688*t.
-4*t*(t - 43)*(t + 1)*(t + 4)
Let 3*h**2 - 2358*h - 7101 = 0. Calculate h.
-3, 789
Let -n**5 + 268*n**4/5 + 108*n**3/5 = 0. What is n?
-2/5, 0, 54
Factor -4*f**2 + 212*f - 2584.
-4*(f - 34)*(f - 19)
Suppose 4*j**2 + 40*j + 64 = 0. Calculate j.
-8, -2
Let -5*s**5 + 5*s**4 + 20*s**3 - 20*s**2 = 0. What is s?
-2, 0, 1, 2
Suppose -2*d**4 + 748*d**3 - 93000*d**2 + 3812500*d + 3906250 = 0. What is d?
-1, 125
Factor -o**5 + 38*o**4 - 37*o**3.
-o**3*(o - 37)*(o - 1)
Find a such that -3*a**2/5 + 33*a = 0.
0, 55
Determine i so that 370*i**2 - 15*i = 0.
0, 3/74
Solve -2*y**4/11 + 42*y**3/11 - 74*y**2/11 - 42*y/11 + 76/11 = 0.
-1, 1, 2, 19
Find r, given that r**5/3 - 2*r**4 + 5*r**3/3 + 4*r**2 = 0.
-1, 0, 3, 4
Factor -4*x**4 + 305*x**3 - 5536*x**2 - 10803*x + 3042.
-(x - 39)**2*(x + 2)*(4*x - 1)
Factor 3*q**4 - 33*q**3 - 555*q**2 - 1575*q.
3*q*(q - 21)*(q + 5)**2
Solve 12*k**4 - 28*k**3 + 20*k**2 - 4*k = 0.
0, 1/3, 1
Factor -3*x**3/7 - 96*x**2 + 2724*x/7 - 2736/7.
-3*(x - 2)**2*(x + 228)/7
Solve t**3 + 5*t**2 - 57*t + 99 = 0 for t.
-11, 3
Suppose k**4/7 + 20*k**3/7 - 66*k**2/7 + 68*k/7 - 23/7 = 0. Calculate k.
-23, 1
Factor 2*g**2/7 + 988*g + 854126.
2*(g + 1729)**2/7
Solve 3*s**5 + 14*s**4 - 7*s**3 - 10*s**2 = 0.
-5, -2/3, 0, 1
Factor w**5/4 + 3*w**4 + 5*w**3.
w**3*(w + 2)*(w + 10)/4
Find w, given that -w**4/2 + 85*w**3/2 + 261*w**2/2 + 263*w/2 + 44 = 0.
-1, 88
Factor -3*u**3 + 96*u**2 - 348*u + 336.
-3*(u - 28)*(u - 2)**2
Solve 2*m**2/17 + 1248*m/17 + 194688/17 = 0.
-312
What is r in -r**2/4 - 9*r/4 + 143/2 = 0?
-22, 13
Let -5*z**3 + 245*z**2 = 0. Calculate z.
0, 49
Factor 9*j**2 - 132*j + 84.
3*(j - 14)*(3*j - 2)
Factor 2*y**3/15 + 14*y**2/15 + 8*y/15 - 8/5.
2*(y - 1)*(y + 2)*(y + 6)/15
Factor 12*j**3 + 560*j**2 + 1424*j + 704.
4*(j + 2)*(j + 44)*(3*j + 2)
Suppose -3*i**2 - 216*i + 3315 = 0. What is i?
-85, 13
Factor -3*n**3 - 54*n**2 - 96*n.
-3*n*(n + 2)*(n + 16)
Solve 3*f**2 + 72*f - 75 = 0 for f.
-25, 1
Let -2*f**5/11 + 32*f**4/11 - 102*f**3/11 + 64*f**2/11 + 104*f/11 - 96/11 = 0. What is f?
-1, 1, 2, 12
Let -2*y**2/17 + 44*y/17 - 42/17 = 0. What is y?
1, 21
Solve 12*f**5/7 - 106*f**4/7 - 762*f**3/7 - 1420*f**2/7 - 888*f/7 - 16 = 0.
-2, -1, -1/6, 14
Factor -3*m**3 - 6*m**2 + 24*m.
-3*m*(m - 2)*(m + 4)
What is y in -18*y**4/17 + 32*y**3/17 + 98*y**2/17 - 88*y/17 - 24/17 = 0?
-2, -2/9, 1, 3
Solve -p**4 - 12*p**3 - 35*p**2 + 12*p + 36 = 0.
-6, -1, 1
Factor -5*h**4 + 15*h**3 - 5*h**2 - 15*h + 10.
-5*(h - 2)*(h - 1)**2*(h + 1)
Factor -4*y**4 - 20*y**3 - 8*y**2 + 80*y + 96.
-4*(y - 2)*(y + 2)**2*(y + 3)
Determine m, given that 4*m**3 - 132*m**2 - 4*m + 132 = 0.
-1, 1, 33
Factor -3*o**3/2 - 9*o**2 - 15*o/2.
-3*o*(o + 1)*(o + 5)/2
Find b, given that 2*b**2/13 + 1042*b/13 + 80 = 0.
-520, -1
Solve 2*r**2/3 + 2543*r/3 - 1273 = 0 for r.
-1273, 3/2
Factor -2*b**2/11 + 168*b/11 - 166/11.
-2*(b - 83)*(b - 1)/11
Determine y, given that y**2 - 634*y + 100489 = 0.
317
Determine z, given that 4*z**4/3 + 74*z**3/3 - 14*z**2 - 74*z/3 + 38/3 = 0.
-19, -1, 1/2, 1
Find i, given that 72*i**5/5 + 134*i**4/5 + 10*i**3 - 14*i**2/5 - 2*i/5 = 0.
-1, -1/9, 0, 1/4
Factor -y**3 + y**2 + 9*y - 9.
-(y - 3)*(y - 1)*(y + 3)
Determine v, given that -9*v**3/4 - 21*v**2 - 205*v/4 - 75/2 = 0.
-6, -5/3
Factor -5*t**3 + 170*t**2 - 1445*t.
-5*t*(t - 17)**2
Factor 3*p**5 + 15*p**4 - 123*p**3 + 249*p**2 - 204*p + 60.
3*(p - 2)*(p - 1)**3*(p + 10)
What is y in 2*y**2/3 + 130*y/3 = 0?
-65, 0
Let -2*a**2 + 26*a + 228 = 0. What is a?
-6, 19
Find j, given that -j**3/5 - 1907*j**2/5 + 382*j + 3816/5 = 0.
-1908, -1, 2
Factor 3*o**2/5 - 30*o - 477/5.
3*(o - 53)*(o + 3)/5
Let -5*c**4 - 305*c**3 - 4790*c**2 - 3900*c + 9000 = 0. What is c?
-30, -2, 1
Find w, given 