5*s**3 - 440*s**2 - 8905*s - 52390 = 0. What is s?
-62, -13
Solve -5*n**4 + 20*n**3 + 95*n**2 + 70*n = 0.
-2, -1, 0, 7
Let -2*p**3/11 - 18*p**2/11 + 20*p/11 = 0. Calculate p.
-10, 0, 1
Solve -5*h**2 - 980*h + 985 = 0.
-197, 1
Solve t**5 + t**4 - 8*t**3 - 12*t**2 = 0 for t.
-2, 0, 3
Find w such that w**5/2 - 3*w**4/2 - 3*w**3/2 + 11*w**2/2 - 3*w = 0.
-2, 0, 1, 3
Factor -n**5/2 + n**4/2 + 3*n**3/2 - 5*n**2/2 + n.
-n*(n - 1)**3*(n + 2)/2
Suppose 2*j**2/5 - 76*j/5 + 722/5 = 0. Calculate j.
19
Factor -3*c**2 + 3639*c + 7290.
-3*(c - 1215)*(c + 2)
Determine z so that -2*z**2/13 + 148*z/13 - 2738/13 = 0.
37
Let 6*w**3/13 - 140*w**2/13 + 718*w/13 - 224/13 = 0. Calculate w.
1/3, 7, 16
Solve -5*g**5/2 - 17*g**4/2 - g**3/2 + 17*g**2/2 + 3*g = 0.
-3, -1, -2/5, 0, 1
Factor 57*b**4/8 - 27*b**3/2 + 45*b**2/8 + 3*b/4.
3*b*(b - 1)**2*(19*b + 2)/8
Factor i**2/12 - 193*i/3 + 257/4.
(i - 771)*(i - 1)/12
Solve -l**3/5 - 4*l**2/5 + 96*l/5 = 0 for l.
-12, 0, 8
Determine d so that 3*d**4 + 15*d**3 - 18*d**2 = 0.
-6, 0, 1
Suppose -3*j**4/4 + 9*j**3/2 - 24*j = 0. What is j?
-2, 0, 4
Factor y**2/3 - 3*y + 20/3.
(y - 5)*(y - 4)/3
Factor -3*y**2 - 18*y - 24.
-3*(y + 2)*(y + 4)
Factor 3*m**3/7 + 12*m**2 - 513*m/7 - 594/7.
3*(m - 6)*(m + 1)*(m + 33)/7
Factor 12*r**5/13 - 274*r**4/13 - 46*r**3/13.
2*r**3*(r - 23)*(6*r + 1)/13
Suppose 2*h**2/3 - 16120*h/3 + 32481800/3 = 0. What is h?
4030
Factor h**3/5 + 28*h**2/5 - 29*h/5.
h*(h - 1)*(h + 29)/5
Suppose -g**3 + 273*g + 272 = 0. What is g?
-16, -1, 17
Suppose 2*v**2 - 108*v + 106 = 0. What is v?
1, 53
What is r in -5*r**2 + 4*r/3 + 1 = 0?
-1/3, 3/5
Determine k, given that -9*k**4/2 - 3*k**3 + 57*k**2/2 - 9*k = 0.
-3, 0, 1/3, 2
Suppose 2*i**3/9 - 86*i**2/9 + 416*i/9 + 1352 = 0. What is i?
-9, 26
Factor -3*o**2 - 594*o + 597.
-3*(o - 1)*(o + 199)
Suppose 3*c**5 + 108*c**4 + 351*c**3 - 1038*c**2 + 576*c = 0. Calculate c.
-32, -6, 0, 1
Suppose -3468*r**3/5 - 9792*r**2/5 + 1809*r/5 - 81/5 = 0. What is r?
-3, 3/34
Factor 3*d**2/2 - 15*d/2 - 21.
3*(d - 7)*(d + 2)/2
Determine h, given that -h**4 + 8*h**3 - 17*h**2 + 10*h = 0.
0, 1, 2, 5
Factor -4*t**2 + 144*t.
-4*t*(t - 36)
Factor -2*o**4/9 + 178*o**3/9 - 58*o**2 + 518*o/9 - 172/9.
-2*(o - 86)*(o - 1)**3/9
Factor 18*w**5/7 - 69*w**4/7 + 60*w**3/7 + 12*w**2/7.
3*w**2*(w - 2)**2*(6*w + 1)/7
Suppose -p**3/9 + 43*p**2/9 - 82*p/9 = 0. What is p?
0, 2, 41
Solve -2*b**5/9 - 22*b**4/9 - 22*b**3/3 - 26*b**2/9 + 68*b/9 + 16/3 = 0 for b.
-6, -4, -1, 1
Factor 18*r**4 - 16*r**3 - 38*r**2 - 4*r.
2*r*(r - 2)*(r + 1)*(9*r + 1)
Suppose x**3/3 - 146*x**2/3 - 295*x/3 - 148/3 = 0. What is x?
-1, 148
Suppose 4*c**3/5 + 344*c**2/5 + 332*c/5 - 136 = 0. What is c?
-85, -2, 1
Find j such that -2*j**3/17 + 6*j**2/17 + 18*j/17 + 10/17 = 0.
-1, 5
Factor -3*y**5 + 30*y**4 - 72*y**3 + 66*y**2 - 21*y.
-3*y*(y - 7)*(y - 1)**3
Factor 2*y**4 - 118*y**3.
2*y**3*(y - 59)
Determine s so that -27*s**4/2 + 585*s**3 - 13431*s**2/2 + 8190*s - 2646 = 0.
2/3, 21
Determine o so that -o**3 + 421*o**2 + 846*o = 0.
-2, 0, 423
Factor 2*t**3/11 + 4*t**2 + 280*t/11 + 400/11.
2*(t + 2)*(t + 10)**2/11
Find a such that 155*a**4 + 810*a**3 + 20*a**2 - 810*a - 175 = 0.
-5, -1, -7/31, 1
Factor 2*r**3/13 + 10*r**2/13 + 12*r/13.
2*r*(r + 2)*(r + 3)/13
Let 2*s**3/3 + 134*s**2/3 + 2432*s/3 + 2048 = 0. Calculate s.
-32, -3
Determine n, given that 2*n**3/9 + 80*n**2/9 - 854*n/9 + 1372/9 = 0.
-49, 2, 7
Factor 4*n**3 - 52*n**2 + 576.
4*(n - 12)*(n - 4)*(n + 3)
Determine r, given that r**2/11 + 135*r/11 + 36 = 0.
-132, -3
Factor 5*q**2/3 - 190*q/3 - 205.
5*(q - 41)*(q + 3)/3
Let 4*b**5 + 108*b**4 - 476*b**3 + 612*b**2 - 248*b = 0. Calculate b.
-31, 0, 1, 2
Let 3*u**3/2 + 351*u**2 - 1413*u/2 + 354 = 0. What is u?
-236, 1
What is v in -4*v**2 + 248*v + 252 = 0?
-1, 63
Factor 7*x**5/5 + 16*x**4/5 + 4*x**3/5 - 14*x**2/5 - 11*x/5 - 2/5.
(x - 1)*(x + 1)**3*(7*x + 2)/5
Suppose t**4/2 + 133*t**3 + 8844*t**2 - 133*t - 17689/2 = 0. What is t?
-133, -1, 1
Factor 2*l**2 - 2372*l - 2374.
2*(l - 1187)*(l + 1)
Solve -2*b**4/13 + 180*b**3/13 + 552*b**2/13 + 556*b/13 + 186/13 = 0 for b.
-1, 93
Find d such that 12*d**2 - 256*d + 84 = 0.
1/3, 21
Let 20*s**5/3 - 25*s**4/3 - 65*s**3/3 + 25*s**2/3 + 15*s = 0. Calculate s.
-1, 0, 1, 9/4
Factor 3*g**5 + 144*g**4 + 276*g**3 - 6*g**2 - 279*g - 138.
3*(g - 1)*(g + 1)**3*(g + 46)
Solve -2*f**5/21 + 2*f**4/21 + 2*f**3/3 - 2*f**2/21 - 4*f/7 = 0.
-2, -1, 0, 1, 3
Find t, given that -t**3 + 130*t**2 + 263*t + 132 = 0.
-1, 132
Solve 729*v**3/4 - 59535*v**2/2 + 1620675*v - 29412250 = 0 for v.
490/9
Determine r, given that -484*r**2/3 - 98912*r/3 - 5053504/3 = 0.
-1124/11
Suppose 10*l**5/9 - 16*l**4/3 + 8*l**3/3 + 124*l**2/9 - 22*l/3 - 12 = 0. What is l?
-1, 9/5, 2, 3
Factor -v**5 + 4*v**4 + 4*v**3 - 16*v**2.
-v**2*(v - 4)*(v - 2)*(v + 2)
Factor -1095120*t**2 + 4680*t - 5.
-5*(468*t - 1)**2
Factor 4*r**2 - 140*r + 384.
4*(r - 32)*(r - 3)
Let -3*r**4/2 + 537*r**3/2 - 12411*r**2 + 35376*r - 23232 = 0. Calculate r.
1, 2, 88
Solve 2*b**2 - 402*b + 796 = 0.
2, 199
Suppose x**2/2 - 91*x - 960 = 0. What is x?
-10, 192
Find b such that 36*b**2/7 - 152*b/7 - 188/7 = 0.
-1, 47/9
Factor 2*p**2 - 80*p + 152.
2*(p - 38)*(p - 2)
Factor 4*g**2 + 64*g + 192.
4*(g + 4)*(g + 12)
Find s, given that 5*s**5/4 + 5*s**4 - 105*s**3/4 - 65*s**2 + 25*s + 60 = 0.
-6, -2, -1, 1, 4
Determine a, given that -a**3/3 - 5*a**2 + 4*a/3 + 20 = 0.
-15, -2, 2
Determine x, given that 13*x**3 - 24*x**2 + 9*x + 2 = 0.
-2/13, 1
Determine w, given that -9*w**5 + 57*w**4 - 57*w**3 - 21*w**2 + 30*w = 0.
-2/3, 0, 1, 5
Factor v**2/2 - 14*v + 48.
(v - 24)*(v - 4)/2
Factor -l**2 - 512*l - 65536.
-(l + 256)**2
Factor 2*f**2/11 - 46*f/11 + 240/11.
2*(f - 15)*(f - 8)/11
Factor 2*d**3 - 40*d**2 + 256*d - 512.
2*(d - 8)**2*(d - 4)
Let 2*x**5/5 - 186*x**4/5 + 4038*x**3/5 + 2650*x**2 + 13632*x/5 + 4608/5 = 0. Calculate x.
-1, 48
Find b such that 2*b**2/5 - 56*b + 1960 = 0.
70
Find v such that 3*v**5/4 - 25*v**4/4 - 11*v**3/2 + 17*v**2/2 + 19*v/4 - 9/4 = 0.
-1, 1/3, 1, 9
Find t such that 2*t**2 + 164*t - 510 = 0.
-85, 3
Solve 4*y**2 + 772*y - 776 = 0.
-194, 1
Solve -n**3/6 - 3*n**2/2 - 4*n/3 = 0.
-8, -1, 0
Factor -4*l**2 + 108*l.
-4*l*(l - 27)
Solve 2*l**4/11 - 14*l**3/11 + 18*l**2/11 + 14*l/11 - 20/11 = 0.
-1, 1, 2, 5
Solve -4*u**3 - 30*u**2/7 + 34*u/7 + 24/7 = 0.
-3/2, -4/7, 1
Factor 5*a**3/4 + 1045*a**2/4 + 13780*a + 13520.
5*(a + 1)*(a + 104)**2/4
Factor 2*i**2/9 - 94*i/9 + 344/9.
2*(i - 43)*(i - 4)/9
Factor 16*s**3 - 605*s**2 + 5662*s + 1083.
(s - 19)**2*(16*s + 3)
Factor 2*q**3/9 - 172*q**2/9 + 550*q/3.
2*q*(q - 75)*(q - 11)/9
Factor -y**3/4 + y**2 - 5*y/4 + 1/2.
-(y - 2)*(y - 1)**2/4
Factor -y**4/4 - y**3 + 7*y**2/4 + 5*y/2.
-y*(y - 2)*(y + 1)*(y + 5)/4
Factor -2*h**4 + 20*h**3 + 144*h**2 - 1620*h + 1458.
-2*(h - 9)**2*(h - 1)*(h + 9)
Let -4*k**2 + 124*k - 232 = 0. Calculate k.
2, 29
Let -5*c**3 - 2865*c**2 - 414675*c - 1218375 = 0. What is c?
-285, -3
Find w, given that -w**4 - 5828*w**3 - 12737094*w**2 - 12371963972*w - 4506487876801 = 0.
-1457
Factor 2*q**4 + 4*q**3 - 8*q**2 - 4*q + 6.
2*(q - 1)**2*(q + 1)*(q + 3)
Factor 6*u**2 + 74*u + 180.
2*(u + 9)*(3*u + 10)
Suppose u**5/2 + 3*u**4 - 5*u**3 - 10*u**2 + 9*u/2 + 7 = 0. Calculate u.
-7, -1, 1, 2
Determine d so that -2*d**3/15 - 26*d**2/15 = 0.
-13, 0
Factor 3*m**3 + 486*m**2 - 1980*m + 1992.
3*(m - 2)**2*(m + 166)
Find j, given that -3*j**3/2 - 15*j**2/2 - 9*j/2 + 27/2 = 0.
-3, 1
Factor 4*q**4 - 68*q**3 + 64*q**2.
4*q**2*(q - 16)*(q - 1)
Let -2*w**4/5 - 788*w**3/5 - 103752*w**2/5 - 4599148*w/5 - 4496182/5 = 0. Calculate w.
-131, -1
Determine p, given that -48*p**5 - 7148*p**4 + 15128*p**3 + 4164*p**2 - 9680*p - 2416 = 0.
-151, -2/3, -1/4, 1, 2
Solve 4*u**5 + 16*u**4 + 13*u**3 - 11*u**2 - 8*u + 4 = 0.
-2, -1, 1/2
What is c in -3*c**4 - 12*c**3 + 54*c**2 + 324*c + 405 = 0?
-3, 5
Suppose -2*d**5 + 96*d**4 + 516*d**3 + 736*d**2 + 318*d = 0. Calculate d.
-3, -1, 0, 53
Suppose -3*m**2/2 - 57*m + 900 = 0. What is m?
-50, 12
Let -64*r**3 - 1696*r**2 + 4540*r - 2900 = 0. Calculate r.
-29, 5/4
Determine w, given that w**3/10 - 13*w**2/5 + 169*w/10 = 0.
0, 13
Solve 3*s**2/8 + 21*s/8 = 0.
-7, 0
Factor 72*s**4 + 24*s**3 + 2*s**2.
2*s**2*(6*s + 1)**2
Factor 3*f**3 + 2541*f**2 - 3*f - 2541.
3*(f - 1)*(f + 1)*(f + 847)
Factor -3*o**4 + 36*o