276*g - 36.
-(g + 3)**2*(7*g + 2)**2
Solve -k**2 + 89*k - 88 = 0 for k.
1, 88
Let -p**4/6 + 17*p**3/6 - 13*p**2 + 32*p/3 + 80/3 = 0. What is p?
-1, 4, 10
Factor 2*d**2/3 + 1948*d + 1423014.
2*(d + 1461)**2/3
Solve 8*c**4/9 + 6*c**3 + 34*c**2/9 - 4*c/3 = 0.
-6, -1, 0, 1/4
Solve -5*c**4 + 30*c**3 - 45*c**2 + 20*c = 0 for c.
0, 1, 4
Factor -b**3/2 + 25*b**2/2 - 104*b + 288.
-(b - 9)*(b - 8)**2/2
Let -2*n**4/3 - 20*n**3 - 554*n**2/3 - 520*n - 1352/3 = 0. Calculate n.
-13, -2
Find t, given that 4*t**4/7 + 24*t**3/7 + 36*t**2/7 - 16*t/7 - 48/7 = 0.
-3, -2, 1
Let 3*d**3 + 99*d**2 + 90*d - 192 = 0. What is d?
-32, -2, 1
Factor -36*y**2 + 196*y - 160.
-4*(y - 1)*(9*y - 40)
Determine k so that -4*k**4 - 592*k**3 - 21904*k**2 = 0.
-74, 0
Let -n**4/7 - 4*n**3/7 + 3*n**2 + 36*n/7 - 108/7 = 0. What is n?
-6, -3, 2, 3
Factor -28*f**2/11 - 2*f/11.
-2*f*(14*f + 1)/11
Determine r so that -r**4/4 + 75*r**2/4 - 125*r/2 = 0.
-10, 0, 5
What is b in 2*b**4/5 - 2*b**3 - 2*b**2/5 + 2*b = 0?
-1, 0, 1, 5
Find p such that -28*p**3 + 2525*p**2/6 - 73*p/6 - 5 = 0.
-2/21, 1/8, 15
Let f**2/5 - 54*f/5 + 729/5 = 0. What is f?
27
Factor s**2 + 3*s + 2.
(s + 1)*(s + 2)
Solve u**3 + 4*u**2 - 28*u + 32 = 0 for u.
-8, 2
Factor -4*q**2 - 124*q.
-4*q*(q + 31)
What is j in -2*j**5/3 - 44*j**4/15 + 88*j**3/5 - 208*j**2/15 - 128*j/15 = 0?
-8, -2/5, 0, 2
Factor 3*m**3 - 114*m**2 + 513*m - 594.
3*(m - 33)*(m - 3)*(m - 2)
Let -4*k**2 + 164*k - 160 = 0. What is k?
1, 40
Factor 3*i**2 + 447*i - 906.
3*(i - 2)*(i + 151)
What is v in 25*v**4/2 - 15*v**3/2 - 180*v**2 + 230*v + 120 = 0?
-4, -2/5, 2, 3
Factor 2*j**3/13 + 2*j**2/13 - 20*j/13 + 16/13.
2*(j - 2)*(j - 1)*(j + 4)/13
Solve -2*l**2/3 - 112*l/3 + 38 = 0.
-57, 1
Factor v**2/4 - 51*v/4 - 55.
(v - 55)*(v + 4)/4
Solve i**2 - 9*i = 0.
0, 9
Solve 2*y**2/5 - 22*y/5 + 56/5 = 0 for y.
4, 7
Factor 2*i**2/3 + 756*i + 214326.
2*(i + 567)**2/3
Factor 2*n**4/7 - 4*n**3/7 - 66*n**2/7 + 180*n/7.
2*n*(n - 5)*(n - 3)*(n + 6)/7
Suppose -3*x**4/4 - 6*x**3 - 45*x**2/4 + 6*x + 12 = 0. What is x?
-4, -1, 1
What is o in -4*o**5 + 368*o**4 - 1428*o**3 + 1768*o**2 - 704*o = 0?
0, 1, 2, 88
Factor 4*w**4 - 25392*w**3 + 60445656*w**2 - 63951504048*w + 25372759231044.
4*(w - 1587)**4
Let 2*r**2 + 14*r + 24 = 0. Calculate r.
-4, -3
Let -8*y**2 - 55*y + 7 = 0. What is y?
-7, 1/8
Suppose 5*z**3 + 20*z**2 + 20*z = 0. Calculate z.
-2, 0
Solve -28*j**4 + 132*j**3 + 404*j**2 + 300*j + 56 = 0 for j.
-1, -2/7, 7
Determine u, given that -5*u**3/6 + 10*u**2 - 640/3 = 0.
-4, 8
Suppose 6*h**4/5 - 2*h**3/5 - 54*h**2/5 + 18*h/5 = 0. Calculate h.
-3, 0, 1/3, 3
Determine p so that 60*p**5 + 471*p**4 - 738*p**3 - 1029*p**2 + 228*p + 108 = 0.
-9, -1, -1/4, 2/5, 2
Factor -6*v**2 - 1124*v - 374.
-2*(v + 187)*(3*v + 1)
Determine i, given that -3*i**3 + 882*i**2 + 885*i = 0.
-1, 0, 295
Factor -2*z**4/5 + 58*z**3/5 - 448*z**2/5 + 392*z/5.
-2*z*(z - 14)**2*(z - 1)/5
Factor 4*t**3 - 408*t**2 + 9984*t + 21632.
4*(t - 52)**2*(t + 2)
Let -t**3/4 - 9*t**2/4 + 5*t/2 = 0. Calculate t.
-10, 0, 1
Factor -8*c**4 + 12*c**3.
-4*c**3*(2*c - 3)
Factor -3*n**5 - 15*n**4 - 30*n**3 - 30*n**2 - 15*n - 3.
-3*(n + 1)**5
Factor -417605*l**2 - 2890*l - 5.
-5*(289*l + 1)**2
Suppose d**5 - 169*d**4 + 6528*d**3 + 51404*d**2 + 121792*d + 92928 = 0. Calculate d.
-3, -2, 88
Factor 2*q**2/11 + 88*q + 3840/11.
2*(q + 4)*(q + 480)/11
Factor -20*t**2 - 26992*t + 10800.
-4*(t + 1350)*(5*t - 2)
Solve -2*v**4 + 126*v**3 - 2916*v**2 + 29160*v - 104976 = 0.
9, 18
Factor -3*s**5 + 30*s**4 + 72*s**3 - 528*s**2 - 1776*s - 1440.
-3*(s - 10)*(s - 6)*(s + 2)**3
Factor 2*h**2/7 + 88*h/7 + 390/7.
2*(h + 5)*(h + 39)/7
Find r such that -2*r**4 + 2*r**3 + 20*r**2 - 8*r - 48 = 0.
-2, 2, 3
Find o such that 2*o**4/7 - 338*o**3/7 + 48*o**2 = 0.
0, 1, 168
Factor -4*k**4 - 44*k**3 - 136*k**2 - 96*k.
-4*k*(k + 1)*(k + 4)*(k + 6)
Factor -4*y**4 + 1520*y**3 - 142872*y**2 - 290320*y - 145924.
-4*(y - 191)**2*(y + 1)**2
Factor c**4 + 196*c**3 + 14406*c**2 + 470596*c + 5764801.
(c + 49)**4
Let 13*g**2/9 + 2*g/9 = 0. Calculate g.
-2/13, 0
Determine c so that c**3/4 + 23*c**2/4 + 31*c/2 + 10 = 0.
-20, -2, -1
Suppose r**2/4 - 2705*r/2 + 7317025/4 = 0. What is r?
2705
Solve -2*y**4 + 640*y**3 + 9924*y**2 + 42112*y + 32830 = 0.
-7, -1, 335
Suppose -5*c**5 + 70*c**4 + 10*c**3 - 140*c**2 - 5*c + 70 = 0. Calculate c.
-1, 1, 14
Determine u so that -2*u**5/9 + 8464*u**4/9 - 8954912*u**3/9 = 0.
0, 2116
Solve 3*c**4 - 66*c**3 + 468*c**2 - 1134*c + 729 = 0 for c.
1, 3, 9
Determine m so that 4*m**5 + 56*m**4 + 260*m**3 + 496*m**2 + 336*m = 0.
-7, -3, -2, 0
Determine c so that 6480*c**5 + 28440*c**4 + 47765*c**3 + 38005*c**2 + 14200*c + 2000 = 0.
-5/4, -1, -4/9
Suppose -3*w**3 - 2706*w**2 - 615579*w - 2419212 = 0. What is w?
-449, -4
Suppose -75*z**4 - 195*z**3 + 342*z**2 + 540*z - 648 = 0. What is z?
-3, -2, 6/5
Solve -j**4/4 - 2*j**3 - 15*j**2/4 + j + 5 = 0 for j.
-5, -2, 1
Determine k, given that 221*k**2 + 451*k + 18 = 0.
-2, -9/221
Find w, given that 10*w**4 - 81*w**3/4 - 19*w**2/2 + 81*w/4 - 1/2 = 0.
-1, 1/40, 1, 2
Determine s, given that -27*s**2 + 485*s/2 + 9/2 = 0.
-1/54, 9
Factor 5*r**3 - 3960*r**2 + 1045440*r - 91998720.
5*(r - 264)**3
Factor -4*w**3 + 792*w**2 - 52272*w + 1149984.
-4*(w - 66)**3
Factor m**4 + 3*m**3 + 3*m**2 + m.
m*(m + 1)**3
Factor -22*x**2 + 6*x.
-2*x*(11*x - 3)
Factor -3*z**3 + 24*z**2 + 12*z - 96.
-3*(z - 8)*(z - 2)*(z + 2)
Determine p, given that p**3/3 - 4*p**2/3 + p = 0.
0, 1, 3
Determine v so that 2*v**4/3 - 2*v**2 + 4*v/3 = 0.
-2, 0, 1
Factor -r**2/3 + r/3.
-r*(r - 1)/3
Find f, given that f**3/10 + 2*f**2/5 + 2*f/5 = 0.
-2, 0
Let -2*r**5 + 84*r**4 + 264*r**3 + 268*r**2 + 90*r = 0. Calculate r.
-1, 0, 45
Factor x**5/7 + 22*x**4/7 + 121*x**3/7.
x**3*(x + 11)**2/7
Suppose r**3 - 509*r**2 - 1021*r - 511 = 0. Calculate r.
-1, 511
Factor -b**3 - 20*b**2 + 83*b/4 - 21/4.
-(b + 21)*(2*b - 1)**2/4
Factor 6*g**2/13 + 10*g/13 - 24/13.
2*(g + 3)*(3*g - 4)/13
Factor 3*s**4 - 30*s**3 + 27*s**2.
3*s**2*(s - 9)*(s - 1)
Let -2*a**3 + 50*a**2/7 + 2*a - 50/7 = 0. What is a?
-1, 1, 25/7
Find l such that l**5 - 12*l**4 + 40*l**3 - 18*l**2 - 41*l + 30 = 0.
-1, 1, 5, 6
Determine g so that 5*g**3 + 60*g**2 - 300*g + 320 = 0.
-16, 2
Determine y so that -2*y**4 - 8*y**3 = 0.
-4, 0
Factor -3*m**4 - 51*m**3 - 96*m**2 + 420*m.
-3*m*(m - 2)*(m + 5)*(m + 14)
Find m, given that 2*m**4/7 - 144*m**3/7 + 3236*m**2/7 - 21888*m/7 - 3610 = 0.
-1, 19, 35
Suppose -11*k**3 - 184*k**2 - 1015*k - 1850 = 0. Calculate k.
-74/11, -5
Determine j, given that -2*j**3 + 88*j**2 + 2*j - 88 = 0.
-1, 1, 44
Let 2*d**5/5 + 576*d**4/5 + 572*d**3/5 - 576*d**2/5 - 574*d/5 = 0. What is d?
-287, -1, 0, 1
Determine i, given that -10638*i**2 + 2391*i - 6 = 0.
1/394, 2/9
Factor -2*r**2/9 + 154*r/9.
-2*r*(r - 77)/9
Let -5*t**5 - 30*t**4 + 1370*t**3 - 8020*t**2 + 12075*t - 5390 = 0. Calculate t.
-22, 1, 7
Determine l so that l**2/2 + 1609*l/4 - 805/4 = 0.
-805, 1/2
Factor 512*m**3 - 6848*m**2 + 2514*m - 234.
2*(m - 13)*(16*m - 3)**2
Let -4*x**4 - 12*x**3 + 16*x = 0. What is x?
-2, 0, 1
Factor -2*c**4/7 - 12*c**3/7 + 64*c/7.
-2*c*(c - 2)*(c + 4)**2/7
Factor p**2/4 - 33*p/2 + 189/4.
(p - 63)*(p - 3)/4
Find l such that 3*l**4/8 - 153*l**3/4 + 975*l**2 + 153*l/4 - 7803/8 = 0.
-1, 1, 51
Factor -32*q**4 + 7036*q**3 - 386320*q**2 - 48400*q.
-4*q*(q - 110)**2*(8*q + 1)
Solve r**2/3 - 334*r/3 = 0 for r.
0, 334
Suppose -2*n**5/15 + 36*n**4/5 - 94*n**3/15 - 644*n**2/15 + 136*n/5 + 848/15 = 0. What is n?
-2, -1, 2, 53
Factor -5*m**3 - 425*m**2 + 5*m + 425.
-5*(m - 1)*(m + 1)*(m + 85)
Let 3*h**2 - 36*h - 84 = 0. Calculate h.
-2, 14
Factor d**5/4 + 7*d**4/4 + 5*d**3/2 - d**2/2 - 11*d/4 - 5/4.
(d - 1)*(d + 1)**3*(d + 5)/4
Solve -x**5/7 - 61*x**4/7 - 899*x**3/7 + 961*x**2/7 = 0 for x.
-31, 0, 1
Factor u**3/8 - 99*u**2/4 + 3267*u/2 - 35937.
(u - 66)**3/8
Suppose 30*k**4 + 115*k**3 + 100*k**2 - 20*k = 0. Calculate k.
-2, 0, 1/6
Find w such that -2*w**5/7 - 108*w**4/7 + 452*w**3/7 - 688*w**2/7 + 66*w - 116/7 = 0.
-58, 1
What is h in -15*h**5 + 20*h**4 + 65*h**3 - 90*h**2 - 20*h + 40 = 0?
-2, -2/3, 1, 2
Factor -3*d**3/7 - 180*d**2/7 - 2196*d/7 - 528.
-3*(d + 2)*(d + 14)*(d + 44)/7
Find a such that -2*a**3/7 + 172*a**2/7 + 174*a/7 = 0.
-1, 0, 87
Determine m, given that -36*m**5 - 90*m**4 + 1228*m**3 + 638*m