81*k = 0. What is k?
-1327, 0
Determine x so that 5*x**2 - 6580*x + 2164820 = 0.
658
Find r, given that -2*r**2/3 + 110*r/3 - 104 = 0.
3, 52
Factor -16*d**3 + 1032*d**2 - 17625*d + 31250.
-(d - 2)*(4*d - 125)**2
Determine j, given that -j**4 - 4*j**3 + 11*j**2 + 30*j = 0.
-5, -2, 0, 3
Factor 3*d**4/5 - 3*d**3/5 - 12*d**2/5 + 12*d/5.
3*d*(d - 2)*(d - 1)*(d + 2)/5
Solve 2*w**4 - 150*w**3 - 2*w**2 + 150*w = 0 for w.
-1, 0, 1, 75
Let c**3 + 460*c**2 + 1828*c + 1824 = 0. Calculate c.
-456, -2
Factor -i**2 - 44*i - 484.
-(i + 22)**2
Determine d, given that -2*d**4/7 - 186*d**3/7 - 4412*d**2/7 - 552*d + 8464/7 = 0.
-46, -2, 1
Factor 5*f**2 - 95*f - 460.
5*(f - 23)*(f + 4)
Factor -2*y**2 - 164*y.
-2*y*(y + 82)
Factor 2*r**2/7 - 6*r/7 - 260/7.
2*(r - 13)*(r + 10)/7
Suppose -196*c**5 + 1652*c**4 - 1948*c**3 - 6436*c**2 - 3040*c - 400 = 0. Calculate c.
-1, -2/7, 5
Factor -3*l**3 - 75*l**2 - 426*l + 504.
-3*(l - 1)*(l + 12)*(l + 14)
Determine x so that -5*x**2 - 5205*x = 0.
-1041, 0
Find r, given that r**5/3 + 213*r**4 + 102398*r**3/3 + 101122*r**2/3 - 34133*r - 101761/3 = 0.
-319, -1, 1
Determine c, given that 2*c**2 - 4112*c + 2113568 = 0.
1028
Suppose -2*j**4/7 + 12*j**3/7 - 18*j**2/7 + 8*j/7 = 0. Calculate j.
0, 1, 4
Factor f**4 - 78*f**3 + 1597*f**2 - 2964*f + 1444.
(f - 38)**2*(f - 1)**2
Determine o, given that o**4/5 - 28*o**3/5 + 48*o**2/5 + 112*o/5 - 208/5 = 0.
-2, 2, 26
Let y**5/7 + 27*y**4/7 + 55*y**3/7 - 1875*y**2/7 + 1564*y/7 + 3468/7 = 0. Calculate y.
-17, -1, 2, 6
Factor l**2/3 + 232*l + 40368.
(l + 348)**2/3
Factor -4*s**5 - 32*s**4 - 96*s**3 - 136*s**2 - 92*s - 24.
-4*(s + 1)**3*(s + 2)*(s + 3)
Solve -16*m**5 + 104*m**4 - 121*m**3 - m**2 + 29*m + 5 = 0.
-1/4, 1, 5
Suppose -15*c**5/7 - 351*c**4/7 - 123*c**3/7 + 351*c**2/7 + 138*c/7 = 0. Calculate c.
-23, -1, -2/5, 0, 1
Factor -2*a**5/3 + 88*a**4/3 - 1346*a**3/3 + 7924*a**2/3 - 12152*a/3 + 5488/3.
-2*(a - 14)**3*(a - 1)**2/3
Factor -8*w**2/9 - 268*w/9 - 44/3.
-4*(w + 33)*(2*w + 1)/9
Factor 2*v**3/3 + 2*v**2 - 56*v/3.
2*v*(v - 4)*(v + 7)/3
What is x in 3*x**2 - 21*x = 0?
0, 7
Suppose -7*f**4/2 - 569*f**3/2 + 1718*f**2 - 1922*f - 696 = 0. Calculate f.
-87, -2/7, 2, 4
Find f such that 3*f**3 + 36*f**2 + 108*f + 96 = 0.
-8, -2
Solve 5*k**2 - 5610*k - 5615 = 0 for k.
-1, 1123
Factor -x**2/3 - 4*x/3 - 4/3.
-(x + 2)**2/3
Suppose m**2/2 + 8*m + 63/2 = 0. Calculate m.
-9, -7
Factor 4*n**3 + 220*n**2 - 2016*n.
4*n*(n - 8)*(n + 63)
Suppose 2*j**3 + 280*j**2 - 1144*j + 1152 = 0. Calculate j.
-144, 2
Let 4*k**5/3 + 104*k**4/3 + 97*k**3/3 - 77*k**2/3 - 49*k/3 + 25/3 = 0. Calculate k.
-25, -1, 1/2
Factor -8*g**5 - 1612*g**4 - 80800*g**3 + 40804*g**2.
-4*g**2*(g + 101)**2*(2*g - 1)
Factor 2*l**3 + 34*l**2/5 - 28*l/5 - 16/5.
2*(l - 1)*(l + 4)*(5*l + 2)/5
Factor -5*f**5 - 5*f**4 + 40*f**3 + 60*f**2.
-5*f**2*(f - 3)*(f + 2)**2
Factor 20*y**4 - 128*y**3 + 48*y**2.
4*y**2*(y - 6)*(5*y - 2)
Factor -f**3/3 - 70*f**2/3 - 203*f/3 - 134/3.
-(f + 1)*(f + 2)*(f + 67)/3
Factor -2*h**2/7 + 18*h/7 + 20/7.
-2*(h - 10)*(h + 1)/7
Factor o**3/9 - 8*o**2/9.
o**2*(o - 8)/9
Find x such that -3*x**3 - 48*x**2 - 195*x - 150 = 0.
-10, -5, -1
Find f such that -98*f**3 - 77210*f**2 - 66126*f - 14166 = 0.
-787, -3/7
Factor 2*x**2 - 2476*x + 766322.
2*(x - 619)**2
Factor 3*x**3/7 + 1068*x**2/7 - 153*x.
3*x*(x - 1)*(x + 357)/7
Let -3*n**5/4 - 3*n**4/4 + 51*n**3/4 + 63*n**2/4 - 27*n = 0. Calculate n.
-3, 0, 1, 4
Find d such that -4*d**4 + 32*d**3/5 + 28*d**2/5 - 24*d/5 = 0.
-1, 0, 3/5, 2
Factor 3*a**2 + 669*a - 6264.
3*(a - 9)*(a + 232)
Factor 3*u**2 - 237*u - 240.
3*(u - 80)*(u + 1)
Find k, given that 4*k**5 + 4*k**4 - 88*k**3 + 8*k**2 + 276*k + 180 = 0.
-5, -1, 3
Factor 5*v**3 - 30170*v**2 + 60325*v - 30160.
5*(v - 6032)*(v - 1)**2
Factor -7*z**3/3 - 122*z**2 - 1448*z/3 - 128.
-(z + 4)*(z + 48)*(7*z + 2)/3
Factor n**2/3 - 493*n/3.
n*(n - 493)/3
Find g such that g**5/4 - 31*g**4/4 - 67*g**3/4 + 31*g**2/4 + 33*g/2 = 0.
-2, -1, 0, 1, 33
Suppose -w**4/5 - 154*w**3/5 + 637*w**2/5 + 158*w = 0. Calculate w.
-158, -1, 0, 5
Factor 2*u**4 + 8*u**3 + 4*u**2 - 8*u - 6.
2*(u - 1)*(u + 1)**2*(u + 3)
Factor 2*a**4/15 + 8*a**3/5 + 58*a**2/15 - 28*a/5.
2*a*(a - 1)*(a + 6)*(a + 7)/15
Suppose -5*y**5 - 95*y**4 - 650*y**3 - 1860*y**2 - 1800*y = 0. What is y?
-6, -5, -2, 0
Solve 5*d**2 + 485*d - 490 = 0 for d.
-98, 1
Factor -2*j**3/5 + 146*j**2 - 1452*j/5.
-2*j*(j - 363)*(j - 2)/5
What is y in -3*y**2 + 1863*y - 1860 = 0?
1, 620
Determine g so that -2*g**5/3 + 40*g**4 + 562*g**3 + 3004*g**2/3 + 480*g = 0.
-10, -1, 0, 72
Suppose i**4/4 + 17*i**3/2 + 429*i**2/4 + 595*i + 1225 = 0. Calculate i.
-10, -7
Solve -4*x**3 + 28*x**2 - 28*x - 60 = 0.
-1, 3, 5
Suppose -33*q**3/4 - 303*q**2/4 + 564*q + 105 = 0. What is q?
-14, -2/11, 5
Solve -2*g**4 + 900*g**3/7 + 2530*g**2/7 + 1080*g/7 - 536/7 = 0.
-2, -1, 2/7, 67
Find p, given that -p**4 - 60*p**3 + 125*p**2 + 60*p - 124 = 0.
-62, -1, 1, 2
Find w, given that 4*w**3 - 140*w**2 - 2692*w - 2548 = 0.
-13, -1, 49
Factor 4*h**2 + 64*h + 60.
4*(h + 1)*(h + 15)
Determine f, given that f**4/6 + 10*f**3/3 + 133*f**2/6 + 49*f = 0.
-7, -6, 0
Factor -q**3/8 + 51*q**2/8 - 78*q - 169/2.
-(q - 26)**2*(q + 1)/8
Suppose -3*m**2/4 + 93*m/4 - 138 = 0. What is m?
8, 23
Factor 4*v**4 - 24*v**3 + 20*v**2 + 96*v - 144.
4*(v - 3)**2*(v - 2)*(v + 2)
Factor v**2/6 + 1313*v + 5171907/2.
(v + 3939)**2/6
Find q, given that -q**3/6 - 31*q**2/6 + 65*q/6 - 11/2 = 0.
-33, 1
Suppose -4*q**5/3 + 16*q**4/3 - 4*q**3/3 - 56*q**2/3 + 80*q/3 - 32/3 = 0. Calculate q.
-2, 1, 2
Factor -j**2/6 + 809*j - 1963443/2.
-(j - 2427)**2/6
Suppose -2*j**3/21 + 26*j**2/7 + 174*j/7 + 270/7 = 0. Calculate j.
-3, 45
Factor 2*z**2/13 + 120*z/13 - 50.
2*(z - 5)*(z + 65)/13
Let -5*l**3 + 15*l**2 + 45*l - 135 = 0. What is l?
-3, 3
Factor 4*x**4 - 4*x**2.
4*x**2*(x - 1)*(x + 1)
Suppose g**5/2 + 2*g**4 + g**3/2 - 3*g**2 = 0. What is g?
-3, -2, 0, 1
Find z such that 8*z**5/7 + 190*z**4/7 + 1104*z**3/7 - 288*z**2/7 = 0.
-12, 0, 1/4
Factor -39*j**2 - 2658*j - 408.
-3*(j + 68)*(13*j + 2)
Factor -99458000*m**2 - 44600*m - 5.
-5*(4460*m + 1)**2
Factor -g**2 + 99*g - 2144.
-(g - 67)*(g - 32)
Factor 4*y**3 - 912*y**2 + 69312*y - 1755904.
4*(y - 76)**3
Let -3*k**2 - 21*k - 36 = 0. Calculate k.
-4, -3
Determine x, given that -2*x**3 - 264*x**2 - 522*x - 260 = 0.
-130, -1
What is s in 4*s**3/3 - 124*s**2/3 - 88*s = 0?
-2, 0, 33
Factor -9*h**3/5 - 39*h**2/5 + 48/5.
-3*(h - 1)*(h + 4)*(3*h + 4)/5
Factor 18*q**3/7 + 3560*q**2/7 + 175626*q/7 - 39204/7.
2*(q + 99)**2*(9*q - 2)/7
Factor -4*l**3 - 5760*l**2 - 2764800*l - 442368000.
-4*(l + 480)**3
Suppose 4*b**4 - 208*b**3 + 4024*b**2 - 34320*b + 108900 = 0. Calculate b.
11, 15
Determine j so that j**2 - 527*j - 528 = 0.
-1, 528
Factor -f**4/3 + 98*f**3/3 - 1793*f**2/3 + 9196*f/3.
-f*(f - 76)*(f - 11)**2/3
Determine v so that -46*v**2 - 86*v + 12 = 0.
-2, 3/23
Find d such that -3*d**2/5 + 12*d - 57/5 = 0.
1, 19
Factor 11*k**3/4 - 307*k**2/2 + 493*k/4 + 55/2.
(k - 55)*(k - 1)*(11*k + 2)/4
Let 9*g**5 - 30*g**4 - 36*g**3 + 42*g**2 + 27*g - 12 = 0. Calculate g.
-1, 1/3, 1, 4
Factor 4*h**4 + 100*h**3 + 352*h**2 + 336*h.
4*h*(h + 2)**2*(h + 21)
Suppose -3*w**3 - 450*w**2 + 1836*w - 1848 = 0. What is w?
-154, 2
Factor 4*t**3/5 - 236*t**2/5.
4*t**2*(t - 59)/5
Solve -4*d**5 + 968*d**4 + 8*d**3 - 1936*d**2 - 4*d + 968 = 0.
-1, 1, 242
Determine p, given that -p**2/3 + p/3 + 380/3 = 0.
-19, 20
Solve -4*q**5/11 + 26*q**4/11 + 148*q**3/11 - 80*q**2/11 = 0 for q.
-4, 0, 1/2, 10
Factor 2*q**2/3 - 602*q/3 - 604/3.
2*(q - 302)*(q + 1)/3
Factor -5*t**3 + 110*t**2 - 780*t + 1800.
-5*(t - 10)*(t - 6)**2
Factor 4*l**2 + 12*l.
4*l*(l + 3)
Factor -2*o**2 + 296*o + 298.
-2*(o - 149)*(o + 1)
Suppose 10*w**3/3 - 742*w**2/3 - 2992*w/15 - 40 = 0. Calculate w.
-2/5, 75
Let -9*y**5 - 1470*y**4 - 478*y**3 + 1796*y**2 + 487*y - 326 = 0. Calculate y.
-163, -1, -2/3, 1/3, 1
Solve -2*f**2 + 984*f - 121032 = 0.
246
Solve -2*g**2/5 - 6*g/5 + 4 = 0 for g.
-5, 2
Factor -4*a**3/5 + 19*a**2/10 - 3*a/5.
-a*(a - 2)*(8*a - 3)/10
Find y, given that -y**4 - 86*y**3 - 1849*y**2 = 0.
-43, 0
Factor -5*j**4 - 25*j**3 + 365*j**2 + 385*j.
-5*j*(j - 7)*(j + 1)*(j + 11)
Factor -3*o**4 - 6*o**3 + 33*o**2 + 36*o.
-3*o*(o - 3)*(o + 1)*(o + 4)
Determine l so that 3*l**3 + 138*l**2 + 267*l + 132 = 0.