- 9406*g**2 + 4312*g - 484 = 0.
-22, 2/9
Factor 2*s**4/9 - 4*s**3/3 + 8*s**2/9 + 16*s/3 - 64/9.
2*(s - 4)*(s - 2)**2*(s + 2)/9
Let a**2 + 17*a + 16 = 0. What is a?
-16, -1
Let 200*r**4 + 70*r**3 - 194*r**2 - 76*r = 0. Calculate r.
-19/20, -2/5, 0, 1
Factor 3*k**5/4 + 177*k**4/4 + 1797*k**3/2 + 13623*k**2/2 + 44403*k/4 + 20577/4.
3*(k + 1)**2*(k + 19)**3/4
Factor x**2 - 193*x + 192.
(x - 192)*(x - 1)
Factor -14*s**2 - 1760*s + 504.
-2*(s + 126)*(7*s - 2)
Factor 5*g**4 + 135*g**3 - 15*g**2 - 415*g - 270.
5*(g - 2)*(g + 1)**2*(g + 27)
Solve -u**3/2 + 3*u**2/2 + 45*u/2 + 81/2 = 0 for u.
-3, 9
Determine g, given that -5*g**4 - 280*g**3 - 2990*g**2 + 26040*g - 43245 = 0.
-31, 3
Factor 10*v**3/7 - 34*v**2/7 + 12*v/7.
2*v*(v - 3)*(5*v - 2)/7
Factor -12*o**5 - 4*o**4 + 16*o**3.
-4*o**3*(o - 1)*(3*o + 4)
Solve -4*y**3 - 172*y**2 - 2124*y - 8100 = 0 for y.
-25, -9
Let -2*k**5 + 14*k**4 - 30*k**3 + 10*k**2 + 32*k - 24 = 0. What is k?
-1, 1, 2, 3
Suppose 25*t**2 + 13445*t - 2690 = 0. Calculate t.
-538, 1/5
Factor -2*f**2/3 + 82*f/3 + 784/3.
-2*(f - 49)*(f + 8)/3
What is w in -8*w**4/9 + 46*w**3/9 - 76*w**2/9 + 26*w/9 + 4/3 = 0?
-1/4, 1, 2, 3
What is t in 5*t**2 - 85*t - 190 = 0?
-2, 19
Factor -2*f**2/17 + 10*f/17 - 12/17.
-2*(f - 3)*(f - 2)/17
Factor -2*b**2 - 24288*b - 73738368.
-2*(b + 6072)**2
Factor -q**3 - 617*q**2 + 1237*q - 619.
-(q - 1)**2*(q + 619)
Let 3*p**3 + 48*p**2 + 252*p + 432 = 0. Calculate p.
-6, -4
Factor 3*s**5 - 69*s**4 + 297*s**3 - 507*s**2 + 384*s - 108.
3*(s - 18)*(s - 2)*(s - 1)**3
Solve 6*m**4 + 92*m**3 + 408*m**2 + 420*m + 98 = 0 for m.
-7, -1, -1/3
Solve -z**2/5 + 12*z - 59/5 = 0 for z.
1, 59
Factor -2*j**5/3 + 8*j**4/3 - 10*j**3/3 + 4*j**2/3.
-2*j**2*(j - 2)*(j - 1)**2/3
Suppose -4*v**2 - 136*v - 132 = 0. Calculate v.
-33, -1
Factor -w**3 + 68*w**2 + 755*w + 1950.
-(w - 78)*(w + 5)**2
Factor -9*v**4 + 20*v**3 - 4*v**2.
-v**2*(v - 2)*(9*v - 2)
Find k, given that 5*k**4 + 10*k**3 = 0.
-2, 0
Factor -k**3/4 + 81*k**2/4 - 311*k/4 + 231/4.
-(k - 77)*(k - 3)*(k - 1)/4
Factor -4*b**2 + 100*b + 464.
-4*(b - 29)*(b + 4)
Let -4*d**2 + 12568*d - 9872164 = 0. Calculate d.
1571
Factor 30000*l**2 - 600*l + 3.
3*(100*l - 1)**2
Let -h**3/5 + 8*h**2/5 + 9*h/5 = 0. What is h?
-1, 0, 9
Solve 4*r**4 - 8*r**3 - 12*r**2 = 0.
-1, 0, 3
Factor -j**2/5 - 1072*j/5 - 287296/5.
-(j + 536)**2/5
Suppose 3*c**2 + 132*c - 276 = 0. What is c?
-46, 2
Factor -2*y**2/3 - 1684*y/3 - 354482/3.
-2*(y + 421)**2/3
Factor -3*w**4/4 - 27*w**3/4 - 15*w**2 - 9*w.
-3*w*(w + 1)*(w + 2)*(w + 6)/4
Find w, given that -52*w**3 + 80*w**2 + 208*w - 320 = 0.
-2, 20/13, 2
What is t in 5*t**2 - 4160*t = 0?
0, 832
Factor 58*b**2 - 11778*b + 812.
2*(b - 203)*(29*b - 2)
Solve -2*m**3 + 50*m**2 - 86*m - 138 = 0 for m.
-1, 3, 23
Factor 5*m**2 + 470*m + 2225.
5*(m + 5)*(m + 89)
What is g in 20*g**4/9 + 38*g**3/9 - 68*g**2/9 - 2*g/9 + 4/3 = 0?
-3, -2/5, 1/2, 1
Let -5*j**5 - 333*j**4 + 2264*j**3 - 5192*j**2 + 4656*j - 1168 = 0. Calculate j.
-73, 2/5, 2
Factor -8*p**3/5 + 4*p**2 - 12*p/5.
-4*p*(p - 1)*(2*p - 3)/5
Let i**2/5 + i + 6/5 = 0. What is i?
-3, -2
Factor -t**4/3 + 13*t**3/3 + 21*t**2 + 83*t/3 + 34/3.
-(t - 17)*(t + 1)**2*(t + 2)/3
Factor -f**4/6 - 7*f**3/6 + 55*f**2/6 + 127*f/6 + 11.
-(f - 6)*(f + 1)**2*(f + 11)/6
Factor -j**2/2 + 14*j + 64.
-(j - 32)*(j + 4)/2
Determine x, given that x**2 + 135*x + 134 = 0.
-134, -1
Factor 212*m**3 + 420*m**2 - 8*m.
4*m*(m + 2)*(53*m - 1)
Let -5*k**5/2 + 275*k**4 - 7820*k**3 + 13480*k**2 + 31320*k - 58320 = 0. Calculate k.
-2, 2, 54
Solve -5*g**3 + 405*g**2 - 1555*g + 1155 = 0.
1, 3, 77
Solve -15*j**3 - 96*j**2 - 171*j - 54 = 0.
-3, -2/5
Suppose -5*p**2 + 125*p + 750 = 0. Calculate p.
-5, 30
Solve -x**3 - 73*x**2 + 228*x = 0 for x.
-76, 0, 3
Factor r**4/4 - 7*r**3/2 + 18*r**2 - 40*r + 32.
(r - 4)**3*(r - 2)/4
Factor -2*n**2/5 + 3562*n/5 + 3564/5.
-2*(n - 1782)*(n + 1)/5
Factor -4*u**2/3 - 40*u/3 - 12.
-4*(u + 1)*(u + 9)/3
Determine v so that -5*v**4 - 30*v**3 + 100*v**2 + 750*v + 625 = 0.
-5, -1, 5
Find y such that -2*y**3/7 + 114*y**2/7 - 108*y/7 - 32 = 0.
-1, 2, 56
Solve -p**2/5 - 271*p/5 + 272/5 = 0 for p.
-272, 1
Suppose -112*z**4/3 + 1352*z**3/3 - 453*z**2 + 433*z/3 - 44/3 = 0. Calculate z.
1/4, 4/7, 11
Factor 3*d**4/7 - 24*d**3/7 + 36*d**2/7 + 96*d/7 - 192/7.
3*(d - 4)**2*(d - 2)*(d + 2)/7
Determine x so that 3*x**2/2 - 21*x + 72 = 0.
6, 8
Let -3*k**5 - 294*k**4 + 312*k**3 + 1494*k**2 + 891*k = 0. Calculate k.
-99, -1, 0, 3
Solve 5*d**5/4 + 5*d**4/4 - 5*d**3/4 - 5*d**2/4 = 0 for d.
-1, 0, 1
What is v in -2*v**3/13 - 2*v**2/13 + 4*v - 48/13 = 0?
-6, 1, 4
Find t such that 2*t**3 - 16*t**2 - 40*t = 0.
-2, 0, 10
Factor -2*t**2 + 42*t.
-2*t*(t - 21)
Suppose -2*q**4 + 26*q**3 + 676*q**2 = 0. Calculate q.
-13, 0, 26
Solve 30*y**4 + 68*y**3 - 232*y**2 - 80*y + 64 = 0.
-4, -2/3, 2/5, 2
Factor 7*l**4/6 - 55*l**3/3 - 151*l**2/6 - 17*l/3.
l*(l - 17)*(l + 1)*(7*l + 2)/6
Factor 3*k**3/5 - 123*k**2/5 + 456*k/5 - 444/5.
3*(k - 37)*(k - 2)**2/5
Suppose 3*r**4/2 - 231*r**3/4 + 2853*r**2/4 - 10665*r/4 - 6075/4 = 0. Calculate r.
-1/2, 9, 15
Solve 4*a**5 + 8*a**4 = 0 for a.
-2, 0
Factor f**3 - 37*f**2 - 316*f + 352.
(f - 44)*(f - 1)*(f + 8)
Factor 4*z**2 + 792*z - 796.
4*(z - 1)*(z + 199)
Let 4*p**5 - 256*p**4 - 540*p**3 + 792*p**2 = 0. What is p?
-3, 0, 1, 66
Solve 2*v**3/3 - 730*v**2/3 + 66976*v/3 - 66248/3 = 0.
1, 182
Determine h, given that 2*h**2/9 - 1648*h/3 + 4942/9 = 0.
1, 2471
Determine p so that p**5 - 14*p**4 - 18*p**3 + 44*p**2 + 17*p - 30 = 0.
-2, -1, 1, 15
Factor -m**2/10 + 162*m/5 - 13122/5.
-(m - 162)**2/10
Factor 3*i**3 + 36*i**2 + 144*i + 192.
3*(i + 4)**3
Determine y, given that -y**2/4 - 41*y/4 + 305 = 0.
-61, 20
Find v such that -2*v**5/7 - 10*v**4/7 + 296*v**3/7 + 88*v**2 = 0.
-14, -2, 0, 11
Suppose 54*y**5/5 + 651*y**4/5 + 2644*y**3/5 + 4624*y**2/5 + 656*y + 528/5 = 0. What is y?
-6, -2, -11/6, -2/9
Factor p**3/6 - 77*p**2/6 - 574*p/3 - 330.
(p - 90)*(p + 2)*(p + 11)/6
Find m, given that 3*m**2 - 57*m - 60 = 0.
-1, 20
Factor -2*f**3/9 - 172*f**2 + 2072*f/3 - 6224/9.
-2*(f - 2)**2*(f + 778)/9
Find b, given that -2*b**2/9 - 10*b/3 - 8 = 0.
-12, -3
Determine m so that 4*m**4 - 432*m**3 + 10752*m**2 + 50176*m = 0.
-4, 0, 56
Suppose 12*p**4/5 + 63*p**3/5 - 141*p**2/5 + 9*p + 21/5 = 0. Calculate p.
-7, -1/4, 1
Factor -5*i**3 + 160*i**2 + 165*i.
-5*i*(i - 33)*(i + 1)
Let -3*q**4 + 150*q**3 - 2016*q**2 + 3456*q = 0. Calculate q.
0, 2, 24
Solve -16*d**2 + 20*d - 4 = 0.
1/4, 1
Factor -216*o**3/5 - 552*o**2/5 + 3406*o/15 - 1352/15.
-2*(o + 4)*(18*o - 13)**2/15
Suppose -2*k**2/19 + 27832*k/19 - 96827528/19 = 0. Calculate k.
6958
Let -5*h**3 - 15*h**2 + 50*h = 0. Calculate h.
-5, 0, 2
Factor -g**3/3 - 2*g**2/3 + g/3 + 2/3.
-(g - 1)*(g + 1)*(g + 2)/3
Find f, given that -5*f**5 + 10*f**4 + 10*f**3 - 20*f**2 - 5*f + 10 = 0.
-1, 1, 2
Let -6*z**5/19 - 20*z**4/19 - 16*z**3/19 + 12*z**2/19 + 22*z/19 + 8/19 = 0. Calculate z.
-4/3, -1, 1
Factor 2*l**4/7 + 20*l**3/7 - 6*l**2/7 - 40*l + 56.
2*(l - 2)**2*(l + 7)**2/7
Let 5*q**4 + 20*q**3 - 80*q - 80 = 0. What is q?
-2, 2
Solve -64*z**4 - 1248*z**3 + 636*z**2 - 80*z = 0.
-20, 0, 1/4
Determine s so that -2*s**3 + 32*s**2 - 70*s - 104 = 0.
-1, 4, 13
What is l in 3*l**2 - 1875*l - 3762 = 0?
-2, 627
Suppose 3*r**2 + 246*r + 711 = 0. Calculate r.
-79, -3
Factor -s**5/3 + 2*s**4/3.
-s**4*(s - 2)/3
Factor 4*y**3 + 104*y**2 + 100*y.
4*y*(y + 1)*(y + 25)
Factor 4*d**3 - 2412*d**2 + 484812*d - 32482404.
4*(d - 201)**3
Determine n, given that -2*n**5 - 4*n**4 + 2*n**3 + 4*n**2 = 0.
-2, -1, 0, 1
Suppose 2*x**3/3 + 64*x**2/3 + 178*x/3 + 116/3 = 0. What is x?
-29, -2, -1
Solve -2*a**3/3 + 196*a**2/3 + 954*a + 888 = 0.
-12, -1, 111
Factor 7*b**5/9 - 542*b**4/9 + 77*b**3/3.
b**3*(b - 77)*(7*b - 3)/9
Solve -4*v**5 - 36*v**4 - 81*v**3 - 56*v**2 - 12*v = 0.
-6, -2, -1/2, 0
Find p such that -p**5/7 + 41*p**4/7 - 552*p**3/7 + 2560*p**2/7 - 2048*p/7 = 0.
0, 1, 8, 16
What is z in z**3 + 89*z**2 - 562*z + 760 = 0?
-95, 2, 4
Factor -4*l**3/3 + 32*l**2/3 + 92*l/3 - 40.
-4*(l - 10)*(l - 1)*(l + 3)/3
Factor u**3 - 28*u**2 - 29*u.
u*(u - 29)*(u + 1)
Factor -3*b**2 - 158*b - 6241/3.
-(3*b + 79)**2/3
Determine c, given that 9*c**4/2 - 165*c**3/2 - 209*c**2/2 + 1905*c/2 - 950 = 0.
-4, 5/3, 19
Determine m, given that 4*m**5 - 172*m**4 + 1924*m**3