 that -t**5 - 11*t**4 - 9*t**3 + 11*t**2 + 10*t = 0.
-10, -1, 0, 1
Solve s**4 - 3*s**3 - 30*s**2 + 128*s - 96 = 0 for s.
-6, 1, 4
Factor -a**2/3 - 1426*a/3 - 475.
-(a + 1)*(a + 1425)/3
Factor 10*l**3 + 5*l**2.
5*l**2*(2*l + 1)
Let -2*f**2/3 - 8*f/3 - 8/3 = 0. Calculate f.
-2
Suppose 2*k**2/7 + 72*k/7 - 74/7 = 0. Calculate k.
-37, 1
Suppose 2*d**4 - 96*d**3 + 942*d**2 + 5096*d + 4056 = 0. Calculate d.
-3, -1, 26
Factor -34*c**3 + 786*c**2 - 2132*c + 240.
-2*(c - 20)*(c - 3)*(17*c - 2)
Factor -4*b**4 + 4*b**3 + 24*b**2 - 16*b - 32.
-4*(b - 2)**2*(b + 1)*(b + 2)
Solve 2*v**3/7 - 60*v**2 + 3528*v - 38416 = 0.
14, 98
Find u, given that -47*u**5/3 - 331*u**4/3 + 832*u**3/3 + 12*u**2 = 0.
-9, -2/47, 0, 2
Suppose -25*k**2/3 + 10*k - 5/3 = 0. What is k?
1/5, 1
Let 3*b**3 + 876*b**2 + 3468*b + 3456 = 0. What is b?
-288, -2
Factor -2*g**2/3 + 394*g/3 - 260.
-2*(g - 195)*(g - 2)/3
Factor 48*k**5 + 72*k**4 + 27*k**3 + 3*k**2.
3*k**2*(k + 1)*(4*k + 1)**2
Factor -72*i**4/13 + 168*i**3/13 - 98*i**2/13.
-2*i**2*(6*i - 7)**2/13
Determine l, given that l**4 + l**3 - 38*l**2 - 36*l + 72 = 0.
-6, -2, 1, 6
Factor -2*j**2/3 - 266*j/3 - 524/3.
-2*(j + 2)*(j + 131)/3
Factor 54*k**2/13 + 62*k - 60/13.
2*(k + 15)*(27*k - 2)/13
Factor -5*u**3 + 95*u**2 - 275*u - 375.
-5*(u - 15)*(u - 5)*(u + 1)
Factor -2*j**2/5 + 16*j/5 + 8.
-2*(j - 10)*(j + 2)/5
What is v in -v**2/2 - v/2 + 6 = 0?
-4, 3
Solve -4*a**2 + 1872*a + 1876 = 0 for a.
-1, 469
Factor -2*l**2/3 + 6*l.
-2*l*(l - 9)/3
Find t such that 9*t**5 + 26*t**4 + 15*t**3 - 2*t**2 = 0.
-2, -1, 0, 1/9
Factor 25*b**4/8 - 45*b**3/4 + 12*b**2 - 4*b.
b*(b - 2)*(5*b - 4)**2/8
Find p such that -3*p**4/4 + 69*p**3/4 - 531*p**2/4 + 1539*p/4 - 729/2 = 0.
2, 3, 9
Factor 2*j**2 - 12*j - 14.
2*(j - 7)*(j + 1)
Determine l so that -5*l**2 - 295*l - 840 = 0.
-56, -3
Factor 4*t**2 - 28*t - 1632.
4*(t - 24)*(t + 17)
Let -50*k**3 + 20*k**2 - 2*k = 0. Calculate k.
0, 1/5
Find y such that y**5/4 + y**4 - 5*y**3/4 - 9*y**2 - 9*y = 0.
-3, -2, 0, 3
Factor 4*i**3 - 3204*i**2 + 643200*i - 640000.
4*(i - 400)**2*(i - 1)
Determine j so that 2*j**2/5 - 666*j/5 + 3924/5 = 0.
6, 327
Find k, given that k**4/4 - 2*k**3 + 7*k**2/4 = 0.
0, 1, 7
Suppose -p**3/3 + p**2 + 4*p/3 - 4 = 0. Calculate p.
-2, 2, 3
Determine t, given that 4*t**5 + 396*t**4 + 13448*t**3 + 168704*t**2 + 417792*t + 262144 = 0.
-32, -2, -1
Determine x so that x**2/7 + 8*x/7 - 20/7 = 0.
-10, 2
Let v**3/2 + 2037*v**2/2 + 1383123*v/2 + 313046839/2 = 0. What is v?
-679
Determine j, given that -j**2/2 + 13*j/2 - 11 = 0.
2, 11
Factor -5*f**4 - 55*f**3 + 380*f**2 - 320*f.
-5*f*(f - 4)*(f - 1)*(f + 16)
Factor n**2 - 226*n + 12769.
(n - 113)**2
Suppose -s**5 + 153*s**4 - 1443*s**3 + 1799*s**2 + 8544*s + 5148 = 0. What is s?
-1, 6, 143
Suppose -2*j**4 + 36*j**3 - 216*j**2 + 540*j - 486 = 0. Calculate j.
3, 9
Factor -9*c**2/4 - 303*c/4 - 99/2.
-3*(c + 33)*(3*c + 2)/4
Factor -2*m**4/9 - 698*m**3/9 - 1390*m**2/9 - 694*m/9.
-2*m*(m + 1)**2*(m + 347)/9
Factor -4*o**3/3 + 8*o**2/3 + 4*o/3 - 8/3.
-4*(o - 2)*(o - 1)*(o + 1)/3
Factor 3*h**2 - 57*h + 54.
3*(h - 18)*(h - 1)
What is v in 2*v**4/11 + 362*v**3/11 + 22914*v**2/11 + 565326*v/11 + 3703860/11 = 0?
-57, -10
Factor -2*w**3 - 30*w**2 + 66*w + 1694.
-2*(w - 7)*(w + 11)**2
Factor 2*u**5 - 26*u**4 + 114*u**3 - 190*u**2 + 100*u.
2*u*(u - 5)**2*(u - 2)*(u - 1)
Let -5*j**5 - 780*j**4 + 12450*j**3 - 63500*j**2 + 106875*j = 0. Calculate j.
-171, 0, 5
Find u such that -8*u**3/3 - 1202*u**2/3 - 100*u = 0.
-150, -1/4, 0
Let -5*h**4 - 50*h**3 - 125*h**2 = 0. Calculate h.
-5, 0
Factor i**3/5 + 293*i**2/5 + 292*i/5.
i*(i + 1)*(i + 292)/5
Let 18*a**3 + 147*a**2/4 + 3*a/2 = 0. Calculate a.
-2, -1/24, 0
Determine h so that -2*h**2/15 - 2*h/5 = 0.
-3, 0
Factor 3*f**3/5 - 2*f**2/5 - 3*f/5 + 2/5.
(f - 1)*(f + 1)*(3*f - 2)/5
Factor -b**4/8 + 23*b**3/8 - 27*b**2/2 - 54*b + 216.
-(b - 12)**2*(b - 3)*(b + 4)/8
Find i, given that -i**3/7 - 17*i**2/7 - 9*i + 81/7 = 0.
-9, 1
Solve 2*g**4 - 20*g**3 + 8*g**2 + 84*g + 54 = 0.
-1, 3, 9
Solve 2*f**2 + 904*f + 102152 = 0.
-226
Find x such that 720*x**5 + 10848*x**4 + 41924*x**3 + 57580*x**2 + 32000*x + 6000 = 0.
-10, -3, -5/6, -2/5
Determine m, given that -3*m**5 + 42*m**4 + 54*m**3 - 132*m**2 - 51*m + 90 = 0.
-2, -1, 1, 15
Let -2*a**3 - 218*a**2 - 640*a - 424 = 0. Calculate a.
-106, -2, -1
Determine r so that r**2/9 - 244*r/3 + 14884 = 0.
366
Let 245*j**5 - 875*j**4 - 540*j**3 + 500*j**2 - 80*j = 0. What is j?
-1, 0, 2/7, 4
Factor 4*p**5 + 160*p**4 - 1056*p**3 + 2168*p**2 - 1828*p + 552.
4*(p - 3)*(p - 1)**3*(p + 46)
Factor -4*t**2 - 72*t - 128.
-4*(t + 2)*(t + 16)
Factor -4*f**4 - 2112*f**3 - 302976*f**2 - 6386688*f - 36578304.
-4*(f + 12)**2*(f + 252)**2
Suppose 5*q**4 + 195*q**3 + 1845*q**2 + 6325*q + 6750 = 0. Calculate q.
-27, -5, -2
Solve m**5/3 + 3*m**4 - 2*m**3/3 - 6*m**2 + m/3 + 3 = 0 for m.
-9, -1, 1
Factor -o**3/5 + 397*o**2/5.
-o**2*(o - 397)/5
Factor 3*p**3/2 - 135*p**2 - 549*p/2 - 138.
3*(p - 92)*(p + 1)**2/2
Suppose -3*q**5 + 45*q**4 - 129*q**3 - 369*q**2 + 564*q + 756 = 0. What is q?
-2, -1, 2, 7, 9
Let r**3/6 - 53*r**2/6 + 305*r/2 - 1725/2 = 0. What is r?
15, 23
Factor 3*l**3 + 129*l**2 - 555*l + 423.
3*(l - 3)*(l - 1)*(l + 47)
Factor -2*k**3/11 + 28*k**2/11 - 98*k/11.
-2*k*(k - 7)**2/11
Suppose -4*v**2 + 12*v + 72 = 0. What is v?
-3, 6
Factor -289*g**2 + 646*g - 361.
-(17*g - 19)**2
Suppose -2*s**4 + 184*s**3 - 704*s**2 = 0. What is s?
0, 4, 88
Factor -3*r**3 + 1362*r**2 + 1365*r.
-3*r*(r - 455)*(r + 1)
Factor 5*b**4 - 1575*b**3 + 124805*b**2 - 120105*b - 246490.
5*(b - 157)**2*(b - 2)*(b + 1)
Factor -78*j**3 + 87*j**2 + 147*j - 18.
-3*(j - 2)*(j + 1)*(26*j - 3)
Factor 5*s**2 - 25*s - 70.
5*(s - 7)*(s + 2)
Solve -2*l**2 + 548*l = 0.
0, 274
Factor -p**3 - 90*p**2 - 2112*p - 3872.
-(p + 2)*(p + 44)**2
Solve -6*f**5 + 718*f**4/7 + 58*f**3/7 - 2238*f**2/7 + 1640*f/7 - 136/7 = 0 for f.
-2, 2/21, 1, 17
What is y in -y**4/4 + y**3 + y**2/2 - 3*y - 9/4 = 0?
-1, 3
Determine n, given that -n**3 + 3*n + 2 = 0.
-1, 2
Solve 5*j**5 + 105*j**4 - 110*j**3 = 0.
-22, 0, 1
Suppose -5*q**3 + 14465*q**2 = 0. Calculate q.
0, 2893
Factor t**2/3 - 309*t - 928/3.
(t - 928)*(t + 1)/3
Factor 25*l**4 - 110*l**3 + 165*l**2 - 100*l + 20.
5*(l - 2)*(l - 1)**2*(5*l - 2)
Factor -p**3/3 + 529*p**2/3 - 1049*p + 1569.
-(p - 523)*(p - 3)**2/3
Determine u so that 28*u**2 + 148*u + 40 = 0.
-5, -2/7
Factor -l**3/2 + 22*l**2 - 433*l/2 - 525.
-(l - 25)*(l - 21)*(l + 2)/2
Factor -3*k**2 + 192*k - 189.
-3*(k - 63)*(k - 1)
Factor 17*z**4 + 1787*z**3 + 210*z**2.
z**2*(z + 105)*(17*z + 2)
Suppose 75*w**2 + 117*w - 66 = 0. What is w?
-2, 11/25
Find o, given that o**5/3 + 16*o**4/3 + 37*o**3/3 - 38*o**2/3 - 164*o/3 - 104/3 = 0.
-13, -2, -1, 2
Solve -16*k**4/3 - 124*k**3/3 - 212*k**2/3 + 160*k/3 + 64 = 0.
-4, -3/4, 1
Factor -s**2/2 + 207*s/2 - 306.
-(s - 204)*(s - 3)/2
Factor s**4/3 + 14*s**3/3 + 17*s**2/3 - 80*s/3 + 16.
(s - 1)**2*(s + 4)*(s + 12)/3
Find f such that 2*f**5 + 28*f**4 + 146*f**3 + 336*f**2 + 288*f = 0.
-4, -3, 0
Factor -2*c**3/7 - 16944*c**2/7 - 47849856*c/7 - 45042664448/7.
-2*(c + 2824)**3/7
Factor m**2/4 - 21*m + 1475/4.
(m - 59)*(m - 25)/4
Suppose -4*j**3/7 + 24*j**2 + 1804*j/7 + 1632/7 = 0. What is j?
-8, -1, 51
Suppose -2*l**4/7 + 88*l**2/7 + 288*l/7 + 256/7 = 0. What is l?
-4, -2, 8
Solve -4*n**4 + 20*n**3 - 8*n**2 - 32*n = 0.
-1, 0, 2, 4
Suppose 2*g**2 - 52*g + 288 = 0. Calculate g.
8, 18
Determine f so that f**2/6 + 14*f/3 - 10 = 0.
-30, 2
Factor 9*j**3/7 + 12*j**2/7 - 51*j/7 - 18/7.
3*(j - 2)*(j + 3)*(3*j + 1)/7
Factor 2*h**4 + 16*h**3 + 38*h**2 + 24*h.
2*h*(h + 1)*(h + 3)*(h + 4)
Solve -2*w**2/7 - 36*w/7 - 16 = 0 for w.
-14, -4
Factor 4*y**2 + 252*y.
4*y*(y + 63)
Factor -2*a**3/19 - 20*a**2/19 + 2*a/19 + 20/19.
-2*(a - 1)*(a + 1)*(a + 10)/19
Factor -5*p**2/3 - 60*p.
-5*p*(p + 36)/3
Factor -3*v**2 + 1293*v - 3852.
-3*(v - 428)*(v - 3)
Factor -106*p**2 - 3078*p - 116.
-2*(p + 29)*(53*p + 2)
Suppose o**2/2 - o/2 - 6 = 0. What is o?
-3, 4
Factor -5*x**2 - 100*x + 220.
-5*(x - 2)*(x + 22)
Let -v**2 + 692*v - 119716 = 0. Calculate v.
346
Factor -x**4/6 - 11*x**3/6 + x**2/6 + 11*x/6.
-x*(x - 1)*(x + 1)*(x + 11)/6
Factor 2*b**4/9 + 8*b**3/9 - 8*b**2/3.
2*b**2*(b - 2)*(b + 6)/9
Let -4*f**5 + 44*f**4 - 128*f**3 + 112*f**2 = 0. What is f?
0, 2, 7