n*(n + 1)*(n + 4)/3
Determine v, given that v**2 - 4 = 0.
-2, 2
Factor w**2/3 - 1022*w/3 + 1021/3.
(w - 1021)*(w - 1)/3
Find a such that a**3/3 + 43*a**2/3 + 82*a/3 = 0.
-41, -2, 0
Factor -2*j**2 - 36*j + 38.
-2*(j - 1)*(j + 19)
Find q, given that -q**4/5 - 6*q**3/5 + 12*q**2 - 136*q/5 + 96/5 = 0.
-12, 2
Factor -5*g**3 + 40*g**2 + 5*g - 40.
-5*(g - 8)*(g - 1)*(g + 1)
Determine t so that t**2/4 - 113*t/4 - 57/2 = 0.
-1, 114
Let -2*s**4/7 + 2012*s**3/7 - 4016*s**2/7 = 0. Calculate s.
0, 2, 1004
Let 5*b**3 - 470*b**2 - 955*b - 480 = 0. Calculate b.
-1, 96
Factor -z**3/5 - 29*z**2/5 - 11*z - 27/5.
-(z + 1)**2*(z + 27)/5
Suppose -t**4 + 19*t**3 - 99*t**2 + 189*t - 108 = 0. Calculate t.
1, 3, 12
Let 16*u**4 + 16*u**3 - 108*u**2 - 112*u + 80 = 0. Calculate u.
-2, 1/2, 5/2
What is x in 5*x**4 - 60*x**3 + 180*x**2 = 0?
0, 6
Factor 2*k**5/13 + 110*k**4/13 + 108*k**3/13.
2*k**3*(k + 1)*(k + 54)/13
What is z in -2*z**4/9 - 4*z**3/9 + 4*z/9 + 2/9 = 0?
-1, 1
Solve -2*c**3 - 32*c**2 - 104*c - 96 = 0.
-12, -2
Suppose 15*s**3 + 70*s**2 - 35*s - 50 = 0. Calculate s.
-5, -2/3, 1
Find m, given that -m**4 + 3*m**3 + m**2 - 3*m = 0.
-1, 0, 1, 3
Suppose -p**4/5 + 39*p**3/5 - 528*p**2/5 + 572*p - 960 = 0. Calculate p.
3, 10, 16
Determine m, given that -2*m**3/15 + 202*m**2/5 - 15402*m/5 + 45602/15 = 0.
1, 151
Suppose -2*b**5 + 14*b**4 + 1284*b**3 - 23760*b**2 + 126144*b - 103680 = 0. What is b?
-30, 1, 12
Solve 4*p**5/5 + 6*p**4/5 - 24*p**3/5 - 14*p**2/5 + 12*p/5 = 0.
-3, -1, 0, 1/2, 2
Factor -2*d**4 - 18*d**3 + 6*d**2 + 50*d - 36.
-2*(d - 1)**2*(d + 2)*(d + 9)
Determine r, given that 4*r**2 + 244*r + 696 = 0.
-58, -3
Factor -5*k**2 - 5500*k - 1512500.
-5*(k + 550)**2
Determine i so that -3*i**5/4 - 75*i**4/4 - 153*i**3 - 312*i**2 + 1344*i + 4608 = 0.
-8, -4, 3
What is b in 2*b**3/9 - 4*b**2 - 8*b/9 + 16 = 0?
-2, 2, 18
Find n, given that -2*n**5 + 51*n**4/2 + 733*n**3/2 - 126*n**2 - 6102*n - 1512 = 0.
-6, -1/4, 4, 21
Factor -12*o**2/7 - 8*o/7 + 4/7.
-4*(o + 1)*(3*o - 1)/7
Factor -3*v**3/5 - 6*v**2/5 + 24*v/5.
-3*v*(v - 2)*(v + 4)/5
Factor m**3/3 + 64*m**2/3 + 173*m/3 - 610/3.
(m - 2)*(m + 5)*(m + 61)/3
Let w**4/5 + 321*w**3/5 + 34347*w**2/5 + 1225043*w/5 = 0. Calculate w.
-107, 0
Find r such that 5*r**2 - 3425*r + 3420 = 0.
1, 684
Factor 2*l**2/9 + 316*l/9 + 310/3.
2*(l + 3)*(l + 155)/9
What is v in 2*v**2/9 + 334*v/9 - 1820/3 = 0?
-182, 15
What is a in a**5/2 - 7*a**4 + 30*a**3 - 36*a**2 = 0?
0, 2, 6
Find k, given that 4*k**3/5 - 56*k**2 - 1788*k/5 - 2736/5 = 0.
-3, 76
Let t**3/8 - 791*t**2/8 + 156815*t/8 - 156025/8 = 0. Calculate t.
1, 395
What is z in -z**3 - 95*z**2 - 187*z - 93 = 0?
-93, -1
Factor p**4/2 - 43*p**3/2 - 285*p**2/2 - 437*p/2 - 98.
(p - 49)*(p + 1)**2*(p + 4)/2
Suppose 5*m**3/2 - 21*m**2 + 8*m = 0. Calculate m.
0, 2/5, 8
Factor 2*c**3/9 - 164*c**2/9 - 334*c/9 - 56/3.
2*(c - 84)*(c + 1)**2/9
Factor r**3/6 + 13*r**2/6 - 20*r/3 - 350/3.
(r - 7)*(r + 10)**2/6
Factor -w**4 - 12*w**3 - 13*w**2 + 66*w - 40.
-(w - 1)**2*(w + 4)*(w + 10)
Let 6*i**5 + 15*i**4 - 3*i**3 - 21*i**2 - 3*i + 6 = 0. What is i?
-2, -1, 1/2, 1
Let -w**3/5 + 23*w**2/5 + 10*w = 0. What is w?
-2, 0, 25
Suppose o**3/4 - 384*o**2 - 1539*o - 1540 = 0. Calculate o.
-2, 1540
Factor 3*l**4 + 18*l**3 - 36*l**2 - 210*l + 225.
3*(l - 3)*(l - 1)*(l + 5)**2
Suppose 4*j**3 + 1184*j**2 + 94288*j + 967872 = 0. What is j?
-142, -12
Factor -4*r**4 - 40*r**3 - 68*r**2 - 32*r.
-4*r*(r + 1)**2*(r + 8)
Determine v so that -2*v**4 + 14*v**3 + 10*v**2 - 150*v = 0.
-3, 0, 5
Find j, given that j**2/4 - 29*j/4 + 7 = 0.
1, 28
Suppose 3*t**3/5 - 27*t**2/5 + 12*t - 36/5 = 0. What is t?
1, 2, 6
Factor -2*f**4 - 8*f**3 - 6*f**2.
-2*f**2*(f + 1)*(f + 3)
Solve 2*k**2/13 + 8*k/13 - 24/13 = 0 for k.
-6, 2
Let b**4 - 25*b**3 + 192*b**2 - 500*b + 416 = 0. What is b?
2, 8, 13
Factor -2*k**3/15 + 24*k**2 - 5518*k/5 + 31684/15.
-2*(k - 89)**2*(k - 2)/15
Solve 5*x**5/4 - 45*x**4/4 - 225*x**3/4 + 565*x**2/4 - 75*x = 0 for x.
-5, 0, 1, 12
Factor -i**3/9 - 56*i**2/9 - 784*i/9.
-i*(i + 28)**2/9
Solve 2*i**4 + 100*i**3 - 102*i**2 = 0.
-51, 0, 1
Find a, given that -a**2/9 + 4*a/9 + 32/9 = 0.
-4, 8
Find u, given that -630*u**4 - 675*u**3 - 35*u**2 + 10*u = 0.
-1, -1/6, 0, 2/21
Solve 3*k**4/2 + 105*k**3/2 - 333*k**2/2 + 339*k/2 - 57 = 0.
-38, 1
Factor -3*o**3 - 891*o**2 - 65709*o + 66603.
-3*(o - 1)*(o + 149)**2
Factor -v**2 - 20*v - 19.
-(v + 1)*(v + 19)
Solve g**4/2 - 3004*g**3 + 6768012*g**2 - 6777036016*g + 2544777024008 = 0 for g.
1502
Determine x so that 3*x**2/5 + 78*x/5 + 399/5 = 0.
-19, -7
Factor 4*f**3/3 + 112*f**2/9 + 16*f/3 - 128.
4*(f + 6)**2*(3*f - 8)/9
Let 2*z**4/5 - 44*z**3/5 + 176*z**2/5 - 84*z/5 - 306/5 = 0. What is z?
-1, 3, 17
Factor -a**4/3 + 3574*a**3/3 - 1419672*a**2 + 564555438*a - 563136957.
-(a - 1191)**3*(a - 1)/3
Suppose -25*j**4 - 15*j**3 + 935*j**2 - 1245*j + 350 = 0. What is j?
-7, 2/5, 1, 5
Find p such that 2*p**2 - 24*p + 72 = 0.
6
Determine t, given that -8*t**2/5 + 14*t/5 = 0.
0, 7/4
Factor f**3 - 9*f**2 + 8*f.
f*(f - 8)*(f - 1)
Suppose 2*y**2/17 + 240*y/17 + 7200/17 = 0. What is y?
-60
Factor 36*v**3 + 48*v**2 - 68*v - 80.
4*(v + 1)*(3*v - 4)*(3*v + 5)
Factor 3*d**3 - 39*d**2 - 240*d + 612.
3*(d - 17)*(d - 2)*(d + 6)
Suppose 14*f**2 + 68*f - 10 = 0. What is f?
-5, 1/7
Determine h so that -3*h**4 - 36*h**3 + 339*h**2 + 1332*h - 1632 = 0.
-17, -4, 1, 8
Find j, given that -10*j**3 + 756*j**2 - 14136*j - 5776 = 0.
-2/5, 38
Let 2*n**3/3 - 232*n**2/3 + 2910*n - 35100 = 0. Calculate n.
26, 45
What is t in 15*t**2 - 678*t - 552 = 0?
-4/5, 46
Suppose -m**3 + 4*m**2 - 4*m = 0. What is m?
0, 2
Let n**2/7 - 39*n/7 - 172/7 = 0. Calculate n.
-4, 43
Let 8*k**3 + 186*k**2 - 146*k - 48 = 0. What is k?
-24, -1/4, 1
Factor -3*y**3/7 + 4377*y**2/7 - 227760*y - 1598700/7.
-3*(y - 730)**2*(y + 1)/7
Let -5*m**2 + 9870*m - 4870845 = 0. What is m?
987
Solve -5*a**4 - 45*a**3 + 865*a**2 - 1755*a - 2660 = 0.
-19, -1, 4, 7
Determine v so that -2*v**4/5 + 22*v**3/5 - 84*v**2/5 + 136*v/5 - 16 = 0.
2, 5
Solve 4*d**4 + 4*d**3 - 32*d**2 - 48*d = 0.
-2, 0, 3
Find j, given that -2*j**4/5 - 142*j**3/5 - 2294*j**2/5 + 8214*j/5 = 0.
-37, 0, 3
Let 4*j**4 - 136*j**3 + 1600*j**2 - 7800*j + 13500 = 0. What is j?
5, 9, 15
Factor -h**5 - 4165*h**4 - 4334723*h**3 + 4338889*h**2.
-h**2*(h - 1)*(h + 2083)**2
Suppose 36*u**2 + 184*u + 20 = 0. Calculate u.
-5, -1/9
Solve p**4/7 - 11*p**3/7 - 4*p**2/7 + 44*p/7 = 0 for p.
-2, 0, 2, 11
Factor -5*j**4 - 45*j**3 + 15*j**2 + 145*j + 90.
-5*(j - 2)*(j + 1)**2*(j + 9)
Factor 4*j**2 + 1488*j - 2992.
4*(j - 2)*(j + 374)
What is r in 2*r**2/7 + 106*r/7 + 104/7 = 0?
-52, -1
Solve -3*c**4/2 - 3*c**3 + 225*c**2/2 + 600*c + 750 = 0 for c.
-5, -2, 10
Factor t**5 + 12*t**4 + 23*t**3 - 36*t**2.
t**2*(t - 1)*(t + 4)*(t + 9)
Factor o**3 - 14*o**2 + 49*o.
o*(o - 7)**2
Determine f, given that -2*f**5/5 + 834*f**4/5 + 1678*f**3/5 - 834*f**2/5 - 1676*f/5 = 0.
-2, -1, 0, 1, 419
Find h, given that -2*h**2/5 + 688*h/5 - 59168/5 = 0.
172
Find f, given that f**4 + 2*f**3/3 - 7*f**2/3 + 2*f/3 = 0.
-2, 0, 1/3, 1
Suppose 2*n**4/3 + 56*n**3/3 + 52*n**2/3 - 56*n/3 - 18 = 0. What is n?
-27, -1, 1
Determine u so that u**2/3 - u/3 - 2/3 = 0.
-1, 2
Find f such that 2*f**4/7 + 4*f**3 + 48*f**2/7 = 0.
-12, -2, 0
Determine s, given that 18*s**5/7 + 6*s**4/7 - 100*s**3/7 + 116*s**2/7 - 46*s/7 + 6/7 = 0.
-3, 1/3, 1
Factor -2*k**2/3 + 1832*k/3 - 419528/3.
-2*(k - 458)**2/3
Factor -2*l**3/3 - 70*l**2/3 - 254*l/3 - 62.
-2*(l + 1)*(l + 3)*(l + 31)/3
Factor 3*d**4 + 42*d**3 + 129*d**2 + 90*d.
3*d*(d + 1)*(d + 3)*(d + 10)
Determine t so that -5*t**3 + 775*t**2 + 1570*t = 0.
-2, 0, 157
Let 5*f**5 + 5*f**4 - 40*f**3 - 40*f**2 + 80*f + 80 = 0. What is f?
-2, -1, 2
Factor -2*b**2/11 + 18/11.
-2*(b - 3)*(b + 3)/11
What is v in 2*v**3/5 + 2*v**2 - 850*v + 13750 = 0?
-55, 25
Find q such that -4*q**2 - 140*q + 456 = 0.
-38, 3
Determine a, given that 16*a**5/15 - 56*a**4/15 - 68*a**3/15 + 166*a**2/15 - 92*a/15 + 16/15 = 0.
-2, 1/2, 4
Let 14*k**5/11 + 190*k**4/11 + 826*k**3/11 + 1010*k**2/11 - 600*k/11 = 0. Calculate k.
-5, -4, 0, 3/7
Find o such that -o**4/2 - o**3 + 7*o**2/2 + 4*o - 6 = 0.
-3, -2, 1, 2
Suppose 2*i**3/17 - 42*i**2/17 - 48*i/17 + 88/17 = 0. What is i?
-2, 1, 22
Determine l, given that -l**5/4 + l**4/4 + 75*l**3/2 + 425*l**2/2 + 875*l