t -4*x**4 + 208*x**3 - 2904*x**2 + 5200*x - 2500 = 0. What is x?
1, 25
Solve -6*j**5 + 137*j**4 - 98*j**3 - 260*j**2 - 88*j = 0 for j.
-2/3, -1/2, 0, 2, 22
Suppose -4*d**3 - 12*d**2 + 288*d + 1296 = 0. Calculate d.
-6, 9
Factor -3*d**2/4 - 125*d/4 - 41/2.
-(d + 41)*(3*d + 2)/4
Find q such that 5*q**4 + 1240*q**3 + 78110*q**2 + 152520*q + 75645 = 0.
-123, -1
Find q, given that q**2/7 + 97*q/7 - 14 = 0.
-98, 1
Determine d so that 5*d**5 - 185*d**4 + 825*d**3 - 775*d**2 - 830*d + 960 = 0.
-1, 1, 2, 3, 32
Factor 2*s**3 + 48*s**2 - 480*s + 1024.
2*(s - 4)**2*(s + 32)
Suppose -3*z**2 - 321*z = 0. Calculate z.
-107, 0
Determine z, given that -41*z**3/6 + 367*z**2/6 - 401*z/3 - 20/3 = 0.
-2/41, 4, 5
Suppose -m**4/4 - 13*m**3 - 149*m**2/4 - 49*m/2 = 0. What is m?
-49, -2, -1, 0
Factor -3*i**3 + 117*i**2 - 432*i + 420.
-3*(i - 35)*(i - 2)**2
Determine n, given that 3*n**5/2 - 12*n**4 + 30*n**3 - 15*n**2 - 63*n/2 + 27 = 0.
-1, 1, 2, 3
Factor -4*l**2 + 188*l + 2016.
-4*(l - 56)*(l + 9)
Determine l, given that -5*l**3 + 20*l**2 + 265*l - 840 = 0.
-7, 3, 8
Suppose -x**2/5 - 2*x/5 + 8/5 = 0. Calculate x.
-4, 2
Determine k so that 4*k**2/7 - 276*k/7 + 536/7 = 0.
2, 67
Factor n**4/5 - n**3/5.
n**3*(n - 1)/5
Factor -4*j**2 - 13968*j - 12194064.
-4*(j + 1746)**2
Factor u**4/4 + 35*u**3/4 + 429*u**2/4 + 2057*u/4 + 1331/2.
(u + 2)*(u + 11)**3/4
Determine h, given that 2*h**4/15 + 46*h**3/15 + 196*h**2/15 + 296*h/15 + 48/5 = 0.
-18, -2, -1
Find k, given that -5*k**5 + 100*k**4 - 590*k**3 + 1440*k**2 - 1485*k + 540 = 0.
1, 3, 12
Factor 20*s**4 + 252*s**3 + 136*s**2 - 96*s.
4*s*(s + 1)*(s + 12)*(5*s - 2)
Let -2*s**2 + 98*s - 780 = 0. What is s?
10, 39
Determine b so that -3*b**2 + 630*b + 2568 = 0.
-4, 214
Factor -20*v**5 - 32*v**4 + 16*v**3.
-4*v**3*(v + 2)*(5*v - 2)
Suppose 3*v**4 - 24*v**3 - 186*v**2 - 144*v + 351 = 0. Calculate v.
-3, 1, 13
Determine p so that -4*p**3 + 20*p**2 - 8*p - 32 = 0.
-1, 2, 4
Let -3*i**3 + 6*i**2 - 3*i = 0. What is i?
0, 1
Solve t**5 - 89*t**4/6 + 109*t**3/2 - 127*t**2/2 + 107*t/6 + 5 = 0.
-1/6, 1, 3, 10
Factor u**3/6 + 5*u**2/3 + 17*u/6 + 4/3.
(u + 1)**2*(u + 8)/6
Factor -v**2 - 56*v - 784.
-(v + 28)**2
Factor g**4 + 20*g**3 + 112*g**2 + 192*g.
g*(g + 4)**2*(g + 12)
Let -k**3/3 - 5*k**2 - 21*k - 49/3 = 0. Calculate k.
-7, -1
Factor 2*t**3 + 48*t**2 - 278*t + 348.
2*(t - 3)*(t - 2)*(t + 29)
Factor 2*f**5 + 16*f**4 + 44*f**3 + 48*f**2 + 18*f.
2*f*(f + 1)**2*(f + 3)**2
Factor -3*c**4 + 6*c**3 + 57*c**2 + 84*c + 36.
-3*(c - 6)*(c + 1)**2*(c + 2)
Factor 14*n**3 - 76*n**2 + 114*n - 36.
2*(n - 3)*(n - 2)*(7*n - 3)
Factor 2*j**2/9 + 58*j/9 - 64/3.
2*(j - 3)*(j + 32)/9
Factor v**3/3 + 9*v**2 + 74*v/3 + 16.
(v + 1)*(v + 2)*(v + 24)/3
Factor 4*y**2/7 - 360*y/7 + 8100/7.
4*(y - 45)**2/7
Factor 2*a**3 + 216*a**2 + 7776*a + 93312.
2*(a + 36)**3
Determine z, given that z**2/4 + 15*z/2 - 1071/4 = 0.
-51, 21
What is x in 5*x**2 - 9180*x + 4213620 = 0?
918
Let 4*v**3 - 60*v**2 - 1312*v + 4368 = 0. What is v?
-14, 3, 26
Find u, given that 484*u**5 - 176*u**4 - 468*u**3 + 176*u**2 - 16*u = 0.
-1, 0, 2/11, 1
Factor -u**2/2 - 131*u - 17161/2.
-(u + 131)**2/2
Solve -2*d**2/9 - 176*d/9 - 3872/9 = 0 for d.
-44
Solve 3*c**5 - 54*c**4 - 477*c**3 + 1104*c**2 - 576*c = 0 for c.
-8, 0, 1, 24
Factor 4*m**4 - 16*m**3 - 20*m**2.
4*m**2*(m - 5)*(m + 1)
Determine i, given that 3*i**5 + 486*i**4 + 28008*i**3 + 661200*i**2 + 5310000*i + 13500000 = 0.
-50, -6
Solve -56*d**2 + 396*d - 28 = 0.
1/14, 7
Factor y**3 + 74*y**2 - 308*y + 312.
(y - 2)**2*(y + 78)
Factor 16*v**4 + 388*v**3 + 2400*v**2 + 576*v.
4*v*(v + 12)**2*(4*v + 1)
Factor 20*p**3 + 14424*p**2 - 57744*p/5 + 11552/5.
4*(p + 722)*(5*p - 2)**2/5
Find k, given that -k**4 + 168*k**3 + 510*k**2 + 512*k + 171 = 0.
-1, 171
What is o in -5*o**4 - 45*o**3 - 120*o**2 - 100*o = 0?
-5, -2, 0
Factor 5*k**3 + 270*k**2 + 775*k + 510.
5*(k + 1)*(k + 2)*(k + 51)
Solve -2*d**5 - 2*d**4 + 64*d**3 + 272*d**2 + 416*d + 224 = 0 for d.
-2, 7
Factor o**4/4 + o**3/2 - o**2/4 - o/2.
o*(o - 1)*(o + 1)*(o + 2)/4
Suppose j**5/5 - 4*j**3/5 + 2*j**2/5 + 3*j/5 - 2/5 = 0. Calculate j.
-2, -1, 1
Factor y**2 + 379*y.
y*(y + 379)
Let -h**3/2 - 370*h**2 - 739*h/2 = 0. What is h?
-739, -1, 0
Suppose k**2/7 - 65*k/7 - 66/7 = 0. What is k?
-1, 66
Factor 4*r**2/9 - 4736*r/9 + 3152/3.
4*(r - 1182)*(r - 2)/9
Solve 2*z**3/13 - 88*z**2/13 - 278*z/13 - 188/13 = 0.
-2, -1, 47
Determine c so that c**5 + 2*c**4 - c**3 - 2*c**2 = 0.
-2, -1, 0, 1
Factor y**2 + 12*y + 36.
(y + 6)**2
Let y**3 + 63*y**2 + 1044*y + 2592 = 0. Calculate y.
-36, -24, -3
Factor s**2/3 - 206*s + 31827.
(s - 309)**2/3
Find f such that -6*f**4 + 10420*f**3 - 13551194*f**2/3 - 18109960*f/3 - 6041288/3 = 0.
-2/3, 869
What is s in s**2/3 - 4*s = 0?
0, 12
Find r such that 2*r**4 - 42*r**3 + 198*r**2 + 242*r = 0.
-1, 0, 11
Solve -y**4 - 29*y**3/3 - 74*y**2/3 - 44*y/3 + 8 = 0.
-6, -2, 1/3
Let 2*q**4/7 - 38*q**3/7 + 66*q**2/7 + 38*q/7 - 68/7 = 0. Calculate q.
-1, 1, 2, 17
Suppose 4*j**3/5 - 28*j**2/5 - 644*j/5 - 612/5 = 0. Calculate j.
-9, -1, 17
Solve 865361341504*b**4 + 15226299264*b**3 + 100466784*b**2 + 294624*b + 324 = 0.
-3/682
Factor -4*c**3 + 16*c**2 - 16*c.
-4*c*(c - 2)**2
Factor -2*q**2/3 - 70*q/3 - 64.
-2*(q + 3)*(q + 32)/3
Determine s so that -2*s**5/3 + 32*s**4/3 - 48*s**3 + 64*s**2/3 + 608*s/3 - 256 = 0.
-2, 2, 6, 8
Factor 2*h**5/3 - 77*h**4/3 - 13*h**3.
h**3*(h - 39)*(2*h + 1)/3
Determine c so that -3*c**3/5 + 3*c**2/5 + 24*c/5 - 36/5 = 0.
-3, 2
What is c in -3*c**2/2 - 336*c - 669/2 = 0?
-223, -1
Solve -15*k**2 - 24*k + 12 = 0.
-2, 2/5
Find g, given that -4*g**5 - 12*g**4 + 8*g**3 + 48*g**2 + 32*g = 0.
-2, -1, 0, 2
Solve -2*u**2/17 - 126*u/17 - 124/17 = 0.
-62, -1
Solve -3*g**2/4 - 21*g/2 - 39/4 = 0.
-13, -1
Factor -4*h**2 - 40*h + 44.
-4*(h - 1)*(h + 11)
Factor 4*p**5/3 + 64*p**4/3 - 5644*p**3/3 + 57800*p**2/3.
4*p**2*(p - 17)**2*(p + 50)/3
Find y such that 3*y**2/4 - 13*y + 17/4 = 0.
1/3, 17
Let -4*w**2/7 + 1016*w/7 = 0. Calculate w.
0, 254
Suppose -4*r**5 - 84*r**4 - 300*r**3 + 1444*r**2 - 1632*r + 576 = 0. Calculate r.
-12, 1
Determine z so that 5*z**4 + 20*z**3 - 330*z**2 + 580*z - 275 = 0.
-11, 1, 5
Factor 2*r**5/13 - 6*r**4/13 + 4*r**3/13.
2*r**3*(r - 2)*(r - 1)/13
Let 2*a**4 + 56*a**3 + 456*a**2 + 576*a - 3456 = 0. Calculate a.
-12, -6, 2
Factor 3*o**4/5 - 42*o**3/5 - 93*o**2/5 - 48*o/5.
3*o*(o - 16)*(o + 1)**2/5
Factor -3*c**5 + 231*c**4 - 675*c**3 + 669*c**2 - 222*c.
-3*c*(c - 74)*(c - 1)**3
Factor -s**5 + 27*s**4 - 26*s**3.
-s**3*(s - 26)*(s - 1)
Solve -s**4/4 + 11*s**3/2 - 13*s**2/4 - 45*s + 63 = 0.
-3, 2, 21
Determine v so that v**2/2 + 1008*v + 2015/2 = 0.
-2015, -1
Suppose a**2/4 - 25*a/2 + 625/4 = 0. What is a?
25
Suppose -98*m**4/9 + 70*m**3/3 - 136*m**2/9 + 8*m/3 = 0. Calculate m.
0, 2/7, 6/7, 1
Determine g so that -g**5 + 261*g**4 - 17417*g**3 + 50439*g**2 - 33282*g = 0.
0, 1, 2, 129
Solve 3*d**2 - 1518*d + 192027 = 0.
253
Solve -w**4/6 - 5*w**3/6 - w**2 = 0.
-3, -2, 0
Solve -2*f**5/5 - 82*f**4/5 + 264*f**3/5 = 0 for f.
-44, 0, 3
Factor -2*k**2 - 26*k + 60.
-2*(k - 2)*(k + 15)
Let o**3/8 - 9*o**2/4 + 41*o/8 + 15/2 = 0. Calculate o.
-1, 4, 15
Suppose -3*h**4 + 16*h**3 + 84*h**2 - 144*h - 128 = 0. Calculate h.
-4, -2/3, 2, 8
Find h, given that h**4 + 3*h**3 - 4*h = 0.
-2, 0, 1
Determine r, given that 3*r**2 + 150*r + 1200 = 0.
-40, -10
Factor 2*d**3 - 248*d**2 + 2330*d - 5700.
2*(d - 114)*(d - 5)**2
Factor p**3/5 - 36*p**2/5 + 141*p/5 + 434/5.
(p - 31)*(p - 7)*(p + 2)/5
What is w in -2*w**2/3 + 71*w/6 + 3 = 0?
-1/4, 18
What is m in 162*m**4 - 882*m**3 - 1900*m**2 + 968*m - 112 = 0?
-2, 2/9, 7
Let -2*a**4 + 28*a**3 + 32*a**2 - 28*a - 30 = 0. What is a?
-1, 1, 15
Factor 3*u**2 - 285*u - 1188.
3*(u - 99)*(u + 4)
Factor -80*b**2 + 185*b - 50.
-5*(b - 2)*(16*b - 5)
Find u such that 3*u**5/2 + 551*u**4/2 + 13143*u**3 + 45090*u**2 + 24300*u = 0.
-90, -3, -2/3, 0
Determine h, given that -5*h**2 - 1355*h = 0.
-271, 0
Factor f**3 - 38*f**2 + 361*f.
f*(f - 19)**2
Factor -g**3 + 74*g**2 - 585*g.
-g*(g - 65)*(g - 9)
Suppose x**4/2 + 19*x**3/2 - 63*x**2/2 + 65*x/2 - 11 = 0. Calculate x.
-22, 1
Solve m**4/3 + 11*m**3/3 + 29*m**2/3 - 35*m/3 - 50 = 0 for m.
-5, -3, 2
Factor 5*i**2 - 30*i.
5*i*(i - 6)
Suppose -b**4/2 + b**3 = 0. Calculate b.
0, 2
Solve -81*v**5/7 - 897*v**4/7 -