8, 0, 2
Find t, given that t**3 + 10*t**2 - t - 10 = 0.
-10, -1, 1
Determine c, given that -2*c**4 + 22*c**2 + 36*c + 16 = 0.
-2, -1, 4
Suppose -2*g**4 + 48*g**3 - 332*g**2 + 528*g - 242 = 0. Calculate g.
1, 11
Factor -4*p**5 + 124*p**4 - 108*p**3 - 380*p**2 + 608*p - 240.
-4*(p - 30)*(p - 1)**3*(p + 2)
Factor j**3/5 - 306*j**2/5 - 1236*j/5 - 248.
(j - 310)*(j + 2)**2/5
Solve 2*p**2 - 44*p + 224 = 0.
8, 14
Factor -5*q**4 - 10*q**3 + 60*q**2 - 70*q + 25.
-5*(q - 1)**3*(q + 5)
Solve a**5/3 + a**4 + a**3/3 - a**2 - 2*a/3 = 0.
-2, -1, 0, 1
Find a, given that 3*a**4/5 - 9*a**2/5 + 6*a/5 = 0.
-2, 0, 1
Find b such that -2*b**5/5 + 32*b**4/5 + 576*b**3/5 + 512*b**2 + 3584*b/5 = 0.
-4, 0, 28
Factor -3*l**3 + 897*l**2 - 66600*l - 67500.
-3*(l - 150)**2*(l + 1)
Factor 4*t**4 + 588*t**3 + 28812*t**2 + 470596*t.
4*t*(t + 49)**3
Factor -24*r**3 + 117*r**2 - 66*r - 207.
-3*(r - 3)*(r + 1)*(8*r - 23)
Factor i**3/3 + 38*i**2/3 + 37*i/3.
i*(i + 1)*(i + 37)/3
Solve 3*n**3 - 81*n**2 - 90*n + 168 = 0 for n.
-2, 1, 28
Let l**3/6 + 37*l**2/6 - 169*l/6 - 205/6 = 0. What is l?
-41, -1, 5
Solve 202*n**2/3 + n = 0.
-3/202, 0
Factor 3*n**2 - 48*n + 192.
3*(n - 8)**2
Let -p**5 - 4*p**4 + 10*p**2 + p - 6 = 0. What is p?
-3, -2, -1, 1
Factor 3*k**3 - 114*k**2 + 603*k - 864.
3*(k - 32)*(k - 3)**2
What is k in 25*k**5 - 840*k**4 + 3985*k**3 - 1770*k**2 - 1400*k = 0?
-2/5, 0, 1, 5, 28
Solve 4*v**5/9 + 220*v**4/9 + 456*v**3 + 3024*v**2 + 2592*v = 0.
-18, -1, 0
Determine v so that 4*v**3 + 158*v**2 + 230*v + 76 = 0.
-38, -1, -1/2
Factor 5*a**4 - 20*a**3 - 15*a**2 + 50*a + 40.
5*(a - 4)*(a - 2)*(a + 1)**2
Solve -18*t**2/13 + 28*t/13 - 10/13 = 0 for t.
5/9, 1
Factor -4*g**2/7 - 736*g/7 - 33856/7.
-4*(g + 92)**2/7
Suppose 5*x**2 - 1695*x + 1690 = 0. What is x?
1, 338
Find b such that -b**2/6 + 71*b/6 - 35/3 = 0.
1, 70
Factor n**4/3 + 7*n**3/3 - 3*n**2 - 7*n/3 + 8/3.
(n - 1)**2*(n + 1)*(n + 8)/3
Suppose -4*n**2 + 1468*n - 2920 = 0. Calculate n.
2, 365
Determine k, given that 2*k**4/11 - 54*k**3/11 - 118*k**2/11 + 54*k/11 + 116/11 = 0.
-2, -1, 1, 29
Suppose 16*u**2 - 19*u + 3 = 0. What is u?
3/16, 1
Factor 10*a**3 - 44*a**2 - 34*a + 20.
2*(a - 5)*(a + 1)*(5*a - 2)
Factor 2*i**2/3 + 14*i/3 + 4.
2*(i + 1)*(i + 6)/3
Solve -h**5/12 + 61*h**4/4 - 1859*h**3/2 + 112667*h**2/6 + 33489*h/4 - 680943/4 = 0 for h.
-3, 3, 61
Factor 243*q**5 + 3510*q**4 + 13431*q**3 + 5460*q**2 + 588*q.
3*q*(q + 7)**2*(9*q + 2)**2
Factor 5*f**4/2 + 71*f**3 + 191*f**2/2 + 27*f.
f*(f + 1)*(f + 27)*(5*f + 2)/2
Suppose -i**4 + 50*i**3 - 95*i**2 - 50*i + 96 = 0. What is i?
-1, 1, 2, 48
Solve d**5/2 + 31*d**4/2 - 50*d**3 + 34*d**2 = 0 for d.
-34, 0, 1, 2
Factor -m**4/7 - 2*m**3/7 + 15*m**2/7 - 4*m/7 - 20/7.
-(m - 2)**2*(m + 1)*(m + 5)/7
Determine y, given that 2*y**2/15 - 28*y/15 + 22/5 = 0.
3, 11
What is t in -5*t**2 - 1745*t + 3510 = 0?
-351, 2
Factor -t**3/2 - 8*t**2 - 10*t + 200.
-(t - 4)*(t + 10)**2/2
Factor -4*l**4 - 12*l**3 - 9*l**2 - 2*l.
-l*(l + 2)*(2*l + 1)**2
Factor -14*f**2/3 + 382*f/3 - 36.
-2*(f - 27)*(7*f - 2)/3
Factor -2*c**3/3 - 320*c**2 - 51200*c - 8192000/3.
-2*(c + 160)**3/3
Factor 64*u**5 - 96*u**4 + 36*u**3 - 4*u**2.
4*u**2*(u - 1)*(4*u - 1)**2
Find v such that 3*v**4 - 30*v**3 - 3*v**2 + 30*v = 0.
-1, 0, 1, 10
Solve 2*o**2 + 4516*o + 2549282 = 0 for o.
-1129
Solve 2*v**2/9 - 208*v/9 - 70/3 = 0.
-1, 105
Determine x so that 98*x**4/3 - 434*x**3/3 + 40*x**2 + 184*x/3 + 32/3 = 0.
-2/7, 1, 4
Factor -3*c**2 - 9888*c - 8147712.
-3*(c + 1648)**2
Factor 2*q**3/13 + 6*q**2 + 798*q/13 + 722/13.
2*(q + 1)*(q + 19)**2/13
Factor 4*k**4 - 120*k**3 - 4828*k**2 - 36384*k - 31680.
4*(k - 55)*(k + 1)*(k + 12)**2
Factor b**2/7 + 17308*b/7 + 74891716/7.
(b + 8654)**2/7
Factor -5*w**2 - 290*w - 2000.
-5*(w + 8)*(w + 50)
Factor 2*o**5/19 - 22*o**4/19 - 50*o**3/19 - 26*o**2/19.
2*o**2*(o - 13)*(o + 1)**2/19
Factor 2*p**3/3 - 22*p**2 + 238*p/3 - 58.
2*(p - 29)*(p - 3)*(p - 1)/3
Factor -121*s**4 - 506*s**3 - 793*s**2 - 552*s - 144.
-(s + 1)**2*(11*s + 12)**2
Solve -3*i**5/7 - 21*i**4 - 111*i**3 - 57*i**2/7 + 3048*i/7 - 2064/7 = 0 for i.
-43, -4, 1
Factor 2*s**4/7 - 2*s**2/7.
2*s**2*(s - 1)*(s + 1)/7
Factor 5*f**2 + 470*f + 11045.
5*(f + 47)**2
Factor -3*k**4/7 - 366*k**3/7 - 720*k**2/7.
-3*k**2*(k + 2)*(k + 120)/7
Let 15*b**5 - 25*b**4 - 80*b**3 + 60*b**2 = 0. Calculate b.
-2, 0, 2/3, 3
Suppose -m**3 - 20*m**2 - 128*m - 256 = 0. Calculate m.
-8, -4
Factor 4*d**3 - 60*d**2 - 1744*d - 1680.
4*(d - 30)*(d + 1)*(d + 14)
Solve -5*a**3 + 380*a**2 - 745*a + 370 = 0.
1, 74
Factor -5*y**4 - 125*y**3 - 345*y**2 - 335*y - 110.
-5*(y + 1)**3*(y + 22)
Find q, given that -q**4 - 13*q**3/3 + 116*q**2/3 - 212*q/3 + 112/3 = 0.
-28/3, 1, 2
Suppose -4*g**3/5 - 2612*g**2/5 - 2080*g - 10384/5 = 0. What is g?
-649, -2
Factor -q**5 - 13*q**4 - 64*q**3 - 148*q**2 - 160*q - 64.
-(q + 1)*(q + 2)**2*(q + 4)**2
Factor -3*o**2 + 294*o.
-3*o*(o - 98)
Find j, given that -j**3 + 266*j**2 + j - 266 = 0.
-1, 1, 266
Solve 10*g**5/3 + 2*g**4 - 88*g**3 - 736*g**2/3 - 128*g + 96 = 0.
-3, -2, 2/5, 6
Determine l, given that 5*l**4 - 15*l**3 - 90*l**2 - 20*l + 120 = 0.
-2, 1, 6
Solve -3*w**3 - 66*w**2 - 111*w + 180 = 0.
-20, -3, 1
Find f such that -2*f**3/3 - 14*f**2/3 - 22*f/3 - 10/3 = 0.
-5, -1
What is r in r**3 + 2*r**2 - 11*r - 12 = 0?
-4, -1, 3
Factor -s**5 + 7*s**4.
-s**4*(s - 7)
Solve 4*r**5 + 56*r**4 + 196*r**3 = 0 for r.
-7, 0
Factor -f**3/8 - 87*f**2/4 - 683*f/8 - 255/4.
-(f + 1)*(f + 3)*(f + 170)/8
Determine t, given that -39*t**4 - 45*t**3 - 6*t**2 = 0.
-1, -2/13, 0
Factor -10*t**4 + 384*t**3 - 16832*t**2/5 - 6144*t - 2560.
-2*(t - 20)**2*(5*t + 4)**2/5
Determine n so that -2*n**2 - 10*n + 12 = 0.
-6, 1
Factor -5*u**3 + 280*u**2 - 3625*u - 8410.
-5*(u - 29)**2*(u + 2)
Suppose p**5/6 + 83*p**4/6 + 1679*p**3/6 - 1847*p**2/6 - 280*p + 294 = 0. What is p?
-42, -1, 1
Factor -3*f**2/7 + 9*f/7 + 30.
-3*(f - 10)*(f + 7)/7
Let 8*x**5/15 + 34*x**4/3 - 142*x**3/15 - 214*x**2/15 + 134*x/15 + 44/15 = 0. What is x?
-22, -1, -1/4, 1
Solve 2*m**2 - 3436*m + 3434 = 0 for m.
1, 1717
Factor -4*r**4 - 8*r**3 + 12*r**2.
-4*r**2*(r - 1)*(r + 3)
Factor 3*m**2/5 - 114*m/5 + 576/5.
3*(m - 32)*(m - 6)/5
Suppose l**2/3 - 47*l/3 - 260 = 0. What is l?
-13, 60
Solve -6*p**3/7 - 366*p**2/7 + 408*p/7 + 2232/7 = 0.
-62, -2, 3
Find o such that 3*o**2 + 3*o/5 - 12/5 = 0.
-1, 4/5
Solve 16*l**4 + 412*l**3 - 536*l**2 + 108*l = 0.
-27, 0, 1/4, 1
Factor -4*z**4/7 + 240*z**3/7 + 744*z**2/7 + 752*z/7 + 36.
-4*(z - 63)*(z + 1)**3/7
Factor v**3 + 16*v**2 + 84*v + 144.
(v + 4)*(v + 6)**2
Solve 3*d**3 + 120*d**2 - 387*d = 0.
-43, 0, 3
Suppose 2*y**4/3 - 235*y**3/6 - 59*y**2/6 = 0. What is y?
-1/4, 0, 59
Factor y**2 + 2*y.
y*(y + 2)
Let -3*o**3 + 48*o**2 - 192*o = 0. Calculate o.
0, 8
Solve -u**4/3 + 6*u**3 - 113*u**2/3 + 92*u - 60 = 0.
1, 5, 6
Suppose 2*q**4/7 - 32*q**3 + 6044*q**2/7 + 1824*q + 6498/7 = 0. What is q?
-1, 57
Factor v**2/3 - 79*v/3 - 602/3.
(v - 86)*(v + 7)/3
Factor 46*r**2/3 - 844*r/3 + 266.
2*(r - 1)*(23*r - 399)/3
Factor -4*z**2/11 + 206*z/11 - 102/11.
-2*(z - 51)*(2*z - 1)/11
Find n, given that -2*n**3/11 + 2*n**2/11 + 16*n/11 - 24/11 = 0.
-3, 2
Find r such that -5*r**2 + 700*r - 24500 = 0.
70
Find s such that -98*s**3/17 + 5138*s**2/17 + 2960*s/17 + 424/17 = 0.
-2/7, 53
Let -5*b**4 + 205*b**3 - 2915*b**2 + 16575*b - 31500 = 0. Calculate b.
4, 7, 15
What is v in 2*v**4/3 + 206*v**3/3 - 638*v**2/3 - 206*v/3 + 212 = 0?
-106, -1, 1, 3
Suppose g**4 - 20*g**3 - 67*g**2 - 46*g = 0. What is g?
-2, -1, 0, 23
Factor -2*a**3/17 - 16*a**2/17 - 10*a/17 + 28/17.
-2*(a - 1)*(a + 2)*(a + 7)/17
Factor -215*y**3 + 795*y**2 - 880*y + 300.
-5*(y - 2)*(y - 1)*(43*y - 30)
Find l such that -4*l**3 + 1516*l**2 - 142880*l - 144400 = 0.
-1, 190
Factor 15*k**2/8 - 699*k/8 - 279.
3*(k + 3)*(5*k - 248)/8
What is r in 16*r**3 + 378*r**2 + 2160*r - 864 = 0?
-12, 3/8
Factor 6*s**2/19 + 710*s - 8996/19.
2*(s + 2249)*(3*s - 2)/19
Determine j so that -105*j**4 - 576*j**3 - 681*j**2 - 234*j - 24 = 0.
-4, -1, -2/7, -1/5
Factor -120*c**5 + 242*c**4 - 124*c**3 + 2*c**2.
-2*c**2*(c - 1)**2*(60*c - 1)
Solve 2*a**3/13 - 480*a**2/13 + 954*a/13 - 476/13 = 0 for a.
1, 238
Find q such that 2*q**3/5 + 6*q**2 + 30*q + 50 = 0.
-5
Determine k, given that 2*k**2/3 + 242*k/3 + 1452 = 0.
-99, -22
Factor 2*q**4/11 - 2968*q**