hat 8*r**5 - 144*r**4 - 758*r**3 + 18110*r**2 - 17472*r + 4312 = 0.
-11, 1/2, 14
Suppose -5*y**5 - 180*y**4 - 165*y**3 + 350*y**2 = 0. Calculate y.
-35, -2, 0, 1
Let -5*z**2 + 25*z - 30 = 0. Calculate z.
2, 3
Solve -125*u**4 + 175*u**3 + 2445*u**2 - 995*u + 100 = 0.
-4, 1/5, 5
Factor 14*k**3/9 + 152*k**2 - 392*k/9.
2*k*(k + 98)*(7*k - 2)/9
Determine u, given that 2*u**3/21 + 2*u**2/7 - 6*u/7 + 10/21 = 0.
-5, 1
Find z such that 78*z**5/11 - 324*z**4/11 + 516*z**3/11 - 384*z**2/11 + 126*z/11 - 12/11 = 0.
2/13, 1
Factor -2*z**2/21 + 282*z/7 - 120.
-2*(z - 420)*(z - 3)/21
Find b, given that 2*b**5/3 + 166*b**4/3 + 100*b**3 - 1916*b**2/3 + 2258*b/3 - 270 = 0.
-81, -5, 1
Suppose 5*c**2 + 645*c + 4270 = 0. What is c?
-122, -7
Determine c, given that 2*c**2/11 - 16*c/11 + 14/11 = 0.
1, 7
Find a such that 2*a**5 + 228*a**4 + 6722*a**3 + 12768*a**2 + 6272*a = 0.
-56, -1, 0
Suppose -x**2/9 + 14*x/3 + 43/9 = 0. Calculate x.
-1, 43
Factor -3*b**3/5 - 21*b**2/5 + 123*b/5 - 99/5.
-3*(b - 3)*(b - 1)*(b + 11)/5
Factor d**2 + 9020*d + 20340100.
(d + 4510)**2
Determine c, given that -4*c**2/3 + 488*c/3 + 992/3 = 0.
-2, 124
Determine f, given that f**3/4 - 527*f**2/4 + 1042*f - 2076 = 0.
4, 519
Find z such that -14*z**4/5 + 2*z**3 + 32*z**2/5 + 8*z/5 = 0.
-1, -2/7, 0, 2
What is w in -3*w**4 + 9*w**3 - 3*w**2 - 9*w + 6 = 0?
-1, 1, 2
Factor -2*z**2 + 96*z + 896.
-2*(z - 56)*(z + 8)
Determine b so that -b**4 + 101*b**3 - 3033*b**2 + 23895*b - 36450 = 0.
2, 9, 45
Let 3*t**5 - 30*t**4 - 33*t**3 = 0. What is t?
-1, 0, 11
Solve -3*r**2 - 27*r - 42 = 0 for r.
-7, -2
Let f**3/8 - 18*f**2 + 864*f - 13824 = 0. What is f?
48
Factor 2*o**3/7 - 22*o**2/7 + 62*o/7 - 6.
2*(o - 7)*(o - 3)*(o - 1)/7
Solve 3*f**3/5 - 66*f**2/5 - 153*f/5 + 216/5 = 0.
-3, 1, 24
Determine w so that 5*w**2/2 - 599*w - 240 = 0.
-2/5, 240
Factor 2*p**5 - 350*p**4 + 20532*p**3 - 410408*p**2 + 390224*p.
2*p*(p - 58)**3*(p - 1)
Factor -36*u**4/7 + 38*u**3/7 - 2*u**2/7.
-2*u**2*(u - 1)*(18*u - 1)/7
Suppose 3*o**2/7 + 6*o/7 - 15 = 0. What is o?
-7, 5
Suppose -2*g**5/5 - 42*g**4/5 - 304*g**3/5 - 168*g**2 - 576*g/5 = 0. What is g?
-8, -6, -1, 0
Determine r so that -24*r**5/5 + 978*r**4/5 - 12858*r**3/5 + 48468*r**2/5 + 78792*r/5 + 16464/5 = 0.
-1, -1/4, 14
Let 2*s**4/7 - 660*s**3/7 + 53114*s**2/7 + 220440*s/7 + 223112/7 = 0. What is s?
-2, 167
Factor h**2 - 674*h - 1352.
(h - 676)*(h + 2)
Find p such that -17*p**2/4 + 7*p/8 = 0.
0, 7/34
Factor -3*u**3/2 + 12*u**2 + 30*u.
-3*u*(u - 10)*(u + 2)/2
Find r, given that -4*r**2 + 24*r - 20 = 0.
1, 5
Suppose 2*y**4 - 32*y**3 - 114*y**2 - 8*y + 152 = 0. What is y?
-2, 1, 19
Factor 16*w**4 - w**3 - 64*w**2 + 4*w.
w*(w - 2)*(w + 2)*(16*w - 1)
Find y, given that 2*y**4/5 - 24*y**3/5 - 18*y**2 - 8*y/5 + 24 = 0.
-2, 1, 15
Factor 2*v**2 - 58*v - 340.
2*(v - 34)*(v + 5)
Factor -27*p**3/4 - 3*p**2/2 + 27*p/4 + 3/2.
-3*(p - 1)*(p + 1)*(9*p + 2)/4
Factor -500*u**4 + 27100*u**3 - 5405*u**2 + 270*u.
-5*u*(u - 54)*(10*u - 1)**2
Find l such that 2*l**2 + 175*l/2 + 129/2 = 0.
-43, -3/4
Determine k, given that -5*k**4 - 45*k**3 - 65*k**2 + 45*k + 70 = 0.
-7, -2, -1, 1
Solve 8*b**4 - 27*b**3 + 9*b**2 = 0 for b.
0, 3/8, 3
Suppose 4*f**4 + 16*f**3 + 12*f**2 - 16*f - 16 = 0. Calculate f.
-2, -1, 1
Determine x, given that -x**3/4 + 11*x**2/4 - 2*x - 5 = 0.
-1, 2, 10
Suppose 2*p**2/15 + 122*p/15 + 416/5 = 0. Calculate p.
-48, -13
Factor -2*y**4/5 - 78*y**3/5 - 222*y**2/5 - 218*y/5 - 72/5.
-2*(y + 1)**3*(y + 36)/5
Factor v**4/6 - 13*v**3/3 + 55*v**2/2 + 52*v/3 - 338/3.
(v - 13)**2*(v - 2)*(v + 2)/6
Factor 4*w**4 - 28*w**3 + 12*w**2 + 124*w + 80.
4*(w - 5)*(w - 4)*(w + 1)**2
Suppose 3*o**2 - 57*o + 180 = 0. What is o?
4, 15
Factor 3*x**2/5 + 69*x/5 - 72/5.
3*(x - 1)*(x + 24)/5
Factor 4*x**3/3 + 24*x**2 + 368*x/3 + 160.
4*(x + 2)*(x + 6)*(x + 10)/3
Let -4*q**5 - 10*q**4 + 26*q**3 + 2*q**2 - 22*q + 8 = 0. What is q?
-4, -1, 1/2, 1
Suppose 3*k**4 + 99*k**3/4 - 177*k**2 + 441*k/4 + 39 = 0. What is k?
-13, -1/4, 1, 4
Factor -2*v**3/3 - 170*v**2 - 10922*v - 32258/3.
-2*(v + 1)*(v + 127)**2/3
Solve 27*z**4 + 48*z**3 - 309*z**2 - 258*z + 72 = 0.
-4, -1, 2/9, 3
Factor 3*i**2 - 54*i + 51.
3*(i - 17)*(i - 1)
Factor -2*o**3/5 - 186*o**2/5 + 192*o/5 + 376/5.
-2*(o - 2)*(o + 1)*(o + 94)/5
Factor 65*w**4 + 4495*w**3 + 103845*w**2 + 806725*w + 121670.
5*(w + 23)**3*(13*w + 2)
Factor 79*i**2 + 389*i - 30.
(i + 5)*(79*i - 6)
Let -z**2/2 - 7*z + 3087/2 = 0. Calculate z.
-63, 49
Find d, given that 5*d**4 + 620*d**3 + 19830*d**2 + 37820*d + 18605 = 0.
-61, -1
Let -4*z**3 - 508*z**2 + 512*z = 0. What is z?
-128, 0, 1
Factor -3*z**4 - 30*z**3 - 51*z**2 - 24*z.
-3*z*(z + 1)**2*(z + 8)
Find j, given that -2*j**3 + 884*j**2 = 0.
0, 442
Let 6*s**5 - 86*s**4 + 322*s**3 - 98*s**2 = 0. Calculate s.
0, 1/3, 7
Factor w**4/4 + 25*w**3/4 + 6*w**2.
w**2*(w + 1)*(w + 24)/4
Factor 2*w**2/7 + 1534*w/7 + 1532/7.
2*(w + 1)*(w + 766)/7
Factor -3*i**2/5 + 282*i/5 - 279/5.
-3*(i - 93)*(i - 1)/5
Let 4*d**2 - 120*d - 1404 = 0. What is d?
-9, 39
Factor 5*d**4 + 3*d**3 - 7*d**2 - 3*d + 2.
(d - 1)*(d + 1)**2*(5*d - 2)
Factor 9*d**3/5 + 12*d**2/5 - 3*d - 6/5.
3*(d - 1)*(d + 2)*(3*d + 1)/5
Factor 8*q**4 - 18*q**3 - 28*q**2 + 72*q - 16.
2*(q - 2)**2*(q + 2)*(4*q - 1)
Factor -3*z**2 - 23004*z - 44098668.
-3*(z + 3834)**2
Factor n**3 - 40*n**2/3 + 11*n/3 + 26/3.
(n - 13)*(n - 1)*(3*n + 2)/3
Factor -5*z**2 + 69*z - 52.
-(z - 13)*(5*z - 4)
Factor 2*b**3 - 22*b**2 - 28*b + 48.
2*(b - 12)*(b - 1)*(b + 2)
Suppose 3*a**4 + 18*a**3 + 9*a**2 - 78*a - 72 = 0. Calculate a.
-4, -3, -1, 2
Factor 2*v**3/7 + 2*v**2 + 32*v/7 + 24/7.
2*(v + 2)**2*(v + 3)/7
Determine y, given that -10*y**5/3 - 592*y**4/3 - 786*y**3 - 2648*y**2/3 - 440*y/3 = 0.
-55, -2, -1/5, 0
Factor 3*c**2 + 1332*c + 147852.
3*(c + 222)**2
Factor x**2/5 - 54*x/5 + 53/5.
(x - 53)*(x - 1)/5
Factor -m**4/8 + 161*m**3/4 + 489*m**2/2 + 491*m + 328.
-(m - 328)*(m + 2)**3/8
Factor j**3/4 - 49*j**2/4 + 431*j/4 + 481/4.
(j - 37)*(j - 13)*(j + 1)/4
Solve q**5 + 10*q**4 - 59*q**3 - 28*q**2 + 188*q - 112 = 0 for q.
-14, -2, 1, 4
Let -5*i**2 - 470*i + 475 = 0. What is i?
-95, 1
Factor 2*n**5 + 128*n**4 + 1914*n**3 - 4356*n**2.
2*n**2*(n - 2)*(n + 33)**2
Solve 4*q**3/5 + 72*q**2/5 + 68*q/5 = 0.
-17, -1, 0
What is y in 2*y**4/5 + 32*y**3/5 - 30*y**2 + 196*y/5 - 16 = 0?
-20, 1, 2
Factor 6*s**3 + 249*s**2 + 2244*s - 7260.
3*(s + 22)**2*(2*s - 5)
Factor -8*n**4/5 - 392*n**3 - 119066*n**2/5 + 24108*n - 30258/5.
-2*(n + 123)**2*(2*n - 1)**2/5
Factor -u**3/5 - 86*u**2/5 + 669*u/5 + 1674/5.
-(u - 9)*(u + 2)*(u + 93)/5
Factor 3*y**3/4 + 2115*y**2/4 + 371709*y/4 - 373827/4.
3*(y - 1)*(y + 353)**2/4
Factor -3*g**2 - 528*g + 3276.
-3*(g - 6)*(g + 182)
Let -2*i**3 - 8*i**2 + 78*i + 252 = 0. What is i?
-7, -3, 6
Let -21*h**4 - 27*h**3 + 330*h**2 + 432*h + 96 = 0. What is h?
-4, -1, -2/7, 4
Factor a**3/4 + 85*a**2/4 + 21*a.
a*(a + 1)*(a + 84)/4
Solve 2*s**5/7 + 50*s**4/7 + 386*s**3/7 + 1046*s**2/7 + 1124*s/7 + 416/7 = 0.
-13, -8, -2, -1
Determine g, given that 3*g**2/2 + 42*g = 0.
-28, 0
Suppose v**3/10 - 2*v**2/5 - 37*v/10 + 4 = 0. What is v?
-5, 1, 8
Factor -4*z**2 + 192*z - 188.
-4*(z - 47)*(z - 1)
Factor 4*r**3 + 12*r**2.
4*r**2*(r + 3)
Suppose -2*i**3 - 254*i**2 + 516*i = 0. What is i?
-129, 0, 2
Factor 2*q**2 + 40*q + 200.
2*(q + 10)**2
Factor -4*t**3 + 552*t**2 - 25392*t + 389344.
-4*(t - 46)**3
Factor 2*l**3/9 - 2*l**2 - 494*l/3 - 11830/9.
2*(l - 35)*(l + 13)**2/9
What is b in 3*b**3 + 30*b**2 + 48*b = 0?
-8, -2, 0
Factor -2*l**3/21 - 52*l**2/21 - 34*l/21 + 4624/21.
-2*(l - 8)*(l + 17)**2/21
Solve 2*y**4/3 + 22*y**3/3 + 28*y**2 + 128*y/3 + 64/3 = 0 for y.
-4, -2, -1
Determine j, given that -j**5 - 24*j**4 + 109*j**3 - 88*j**2 - 108*j + 112 = 0.
-28, -1, 1, 2
Factor r**3/4 + r**2 - 19*r/4 + 7/2.
(r - 2)*(r - 1)*(r + 7)/4
Suppose 3*t**3/2 + 2103*t**2/2 + 367497*t/2 - 369603/2 = 0. Calculate t.
-351, 1
Suppose 3*h**2/4 - 75/4 = 0. Calculate h.
-5, 5
Factor 3*t**5 - 123*t**4 + 237*t**3 - 117*t**2.
3*t**2*(t - 39)*(t - 1)**2
Determine h so that 2*h**3 + 40*h**2 - 1334*h - 2812 = 0.
-37, -2, 19
Factor j**2/3 + 65*j/3 - 250.
(j - 10)*(j + 75)/3
Factor -4*u**3/9 - 80*u**2/9 + 4*u/9 + 80/9.
-4*(u - 1)*(u + 1)*(u + 20)/9
What is r in 5*r**2 - 110*r + 200 = 0?
2, 20
What is l in -4*l**5 - 116*l**4 + 652*l**3 - 940*l**2 +