 13*n**2/4 + 5*n/2 - 6.
(n - 1)*(n + 2)*(n + 12)/4
Suppose -85*r**2/6 + 3305*r/6 + 65 = 0. Calculate r.
-2/17, 39
What is p in -p**2 - 97*p/2 + 49/2 = 0?
-49, 1/2
Solve c**5/4 + 3*c**4/2 - 87*c**3/4 - 43*c**2 + 684*c - 1296 = 0.
-9, 4
Determine o so that -o**3 + 3*o**2 + 18*o = 0.
-3, 0, 6
Solve 5*d**4/4 - 15*d**3/2 - 20*d**2 = 0.
-2, 0, 8
What is b in b**5/4 - 5*b**4/2 + 6*b**3 + 5*b**2/2 - 25*b/4 = 0?
-1, 0, 1, 5
Determine j, given that -2*j**4/11 - 56*j**3/11 - 392*j**2/11 = 0.
-14, 0
Solve -s**4 + 2*s**3 + 7*s**2 - 8*s - 12 = 0.
-2, -1, 2, 3
Suppose -3*v**3 + 57*v**2 - 165*v - 1089 = 0. Calculate v.
-3, 11
Let 49*m**5/2 - 819*m**4 + 7725*m**3/2 - 3764*m**2 - 3174*m - 504 = 0. What is m?
-2/7, 3, 28
Solve 2*t**2/11 - 1688*t/11 + 356168/11 = 0.
422
Factor -2*c**2/3 + 436*c/3 - 23762/3.
-2*(c - 109)**2/3
Let 3*l**5/2 - 54*l**4 + 198*l**3 - 192*l**2 = 0. Calculate l.
0, 2, 32
Factor -b**4/5 + 21*b**3/5 - 24*b**2 + 20*b.
-b*(b - 10)**2*(b - 1)/5
Factor -15*i**3 + 99*i**2 - 108*i - 60.
-3*(i - 5)*(i - 2)*(5*i + 2)
Let 2*t**3/5 - 94*t**2/5 - 2*t/5 + 94/5 = 0. Calculate t.
-1, 1, 47
Solve -5*r**2 - 385*r + 5850 = 0 for r.
-90, 13
Find l, given that 4*l**5 + 226*l**4 + 2768*l**3 - 12112*l**2 + 7680*l + 7200 = 0.
-30, -1/2, 2
Suppose h**3 + 19*h**2 + 31*h - 51 = 0. Calculate h.
-17, -3, 1
Suppose 4*w**4 - 100*w**3 + 648*w**2 - 3456 = 0. Calculate w.
-2, 3, 12
Let 6*h**4/11 - 14*h**3 + 232*h**2/11 + 200*h/11 - 192/11 = 0. Calculate h.
-1, 2/3, 2, 24
Let -3*b**2 - 1203*b - 1200 = 0. Calculate b.
-400, -1
Factor 4*r**2/3 - 520*r/3 + 16900/3.
4*(r - 65)**2/3
Factor 2*h**4/15 + 352*h**3/15 + 6844*h**2/5 + 389872*h/15 - 410758/15.
2*(h - 1)*(h + 59)**3/15
Factor 5*k**3/3 - 35*k**2/3 + 70*k/3 - 40/3.
5*(k - 4)*(k - 2)*(k - 1)/3
Find x such that -x**3 + 140*x**2/3 - 1679*x/3 + 1058/3 = 0.
2/3, 23
Factor 980*d**3 + 1820*d**2 - 275*d + 10.
5*(d + 2)*(14*d - 1)**2
Determine v, given that -93*v**3 + 94*v**2 - v = 0.
0, 1/93, 1
Suppose -2*m**4/3 + 16*m**3/3 - 22*m**2/3 - 16*m/3 + 8 = 0. What is m?
-1, 1, 2, 6
Suppose -2*y**3/15 + 586*y**2/15 - 2842*y - 14406/5 = 0. What is y?
-1, 147
Factor 4*h**5 - 28*h**4 + 48*h**3.
4*h**3*(h - 4)*(h - 3)
Solve -y**3/12 - 211*y**2/12 + 379*y/3 - 545/3 = 0.
-218, 2, 5
Factor -4*d**2 + 88*d + 300.
-4*(d - 25)*(d + 3)
Solve 3*z**2 + 30*z = 0.
-10, 0
Factor -5*p**3 + 10*p**2.
-5*p**2*(p - 2)
Determine u, given that 5*u**4 - 75*u**3 - 110*u**2 + 480*u = 0.
-3, 0, 2, 16
Solve -147*n**5/5 - 588*n**4/5 + 159*n**3/5 + 636*n**2/5 - 12*n/5 - 48/5 = 0.
-4, -1, -2/7, 2/7, 1
Factor 2*j**3/5 + 26*j**2 + 726*j/5 + 1062/5.
2*(j + 3)**2*(j + 59)/5
Determine u so that -2*u**4 - 4*u**3 + 6*u**2 + 16*u + 8 = 0.
-2, -1, 2
Find v such that 5*v**3 - 625*v**2 + 1840*v - 1220 = 0.
1, 2, 122
Solve 5*g**4 - 1290*g**3 + 73685*g**2 + 1228080*g + 4531520 = 0.
-7, 136
Factor -4*k**5 - 12*k**4 + 36*k**3 - 20*k**2.
-4*k**2*(k - 1)**2*(k + 5)
Factor -8*q**3 - 26*q**2 + 218*q + 56.
-2*(q - 4)*(q + 7)*(4*q + 1)
Find k such that -k**3 + 25*k**2 - 106*k + 120 = 0.
2, 3, 20
Suppose 48*l**3 + 456*l**2 - 765*l + 297 = 0. Calculate l.
-11, 3/4
Determine i so that 20*i**5 - 264*i**4 + 736*i**3 + 1048*i**2 - 756*i - 784 = 0.
-1, -4/5, 1, 7
Factor -4*u**2/7 + 396*u/7 + 808/7.
-4*(u - 101)*(u + 2)/7
Factor 3*h**3 - 2535*h**2 + 5061*h - 2529.
3*(h - 843)*(h - 1)**2
Factor -4*j**3 + 32*j**2 - 16*j - 192.
-4*(j - 6)*(j - 4)*(j + 2)
Determine d, given that d**3 + 18*d**2 + 105*d + 196 = 0.
-7, -4
Factor a**5/8 - 11*a**4/8 - 3*a**3/2.
a**3*(a - 12)*(a + 1)/8
Factor -b**3/6 + 5*b**2/2 + 39*b/2 + 63/2.
-(b - 21)*(b + 3)**2/6
Find h, given that -h**3 - 64*h**2 - 1232*h - 6272 = 0.
-28, -8
Factor 2*j**2 - 32*j.
2*j*(j - 16)
Find s such that 231*s**2/5 + 108*s/5 + 12/5 = 0.
-2/7, -2/11
Factor 3*t**2 - 591*t + 588.
3*(t - 196)*(t - 1)
Factor 2*w**4/7 - 104*w**3/7 + 102*w**2/7.
2*w**2*(w - 51)*(w - 1)/7
What is r in 2*r**3/9 - 72*r**2 - 1970*r/9 + 872/3 = 0?
-4, 1, 327
What is m in m**3 + 59*m**2 + 584*m + 940 = 0?
-47, -10, -2
Factor -961*l**4 + 186*l**3 - 9*l**2.
-l**2*(31*l - 3)**2
Factor -k**3/7 + 16*k**2/7 + 5*k + 18/7.
-(k - 18)*(k + 1)**2/7
Solve -4*i**3 + 4*i**2 + 8*i = 0.
-1, 0, 2
Suppose -6*v**3/11 - 12*v**2/11 + 42*v/11 - 24/11 = 0. What is v?
-4, 1
Factor -4*c**2 - 12*c + 16.
-4*(c - 1)*(c + 4)
Factor 10*f**4 - 75*f**3 - 55*f**2 + 120*f.
5*f*(f - 8)*(f - 1)*(2*f + 3)
Determine g so that -5*g**5 + 55*g**4 - 70*g**3 - 820*g**2 + 2280*g - 1440 = 0.
-4, 1, 2, 6
Factor 4*q**4 - 172*q**3 + 1120*q**2.
4*q**2*(q - 35)*(q - 8)
Solve -o**5/4 + 21*o**4/4 + 28*o**3 - 67*o**2 - 216*o + 400 = 0 for o.
-4, 2, 25
What is p in 2*p**5/9 + 4*p**4/3 - 548*p**3/9 + 3208*p**2/9 - 1610*p/3 + 2156/9 = 0?
-22, 1, 7
Factor -w**2/4 + 187*w/4 - 185/2.
-(w - 185)*(w - 2)/4
Find u such that -5*u**4 - 595*u**3 - 13720*u**2 - 89180*u = 0.
-91, -14, 0
Determine r, given that -30*r**3 + 5*r**2 + 20*r + 5 = 0.
-1/2, -1/3, 1
What is t in 2*t**5/5 + 8*t**4/5 - 2*t**3/5 - 8*t**2/5 = 0?
-4, -1, 0, 1
Factor -q**3/2 - 13*q**2 - 46*q - 44.
-(q + 2)**2*(q + 22)/2
Factor 3*n**3 - 15*n**2 + 51*n/4 - 3.
3*(n - 4)*(2*n - 1)**2/4
Let -a**2/2 + 169*a/4 - 21 = 0. What is a?
1/2, 84
Factor 98*t**2/15 + 56*t/3 + 40/3.
2*(7*t + 10)**2/15
What is v in -2*v**2 + 38*v - 180 = 0?
9, 10
Solve -75*a**3 - 1340*a**2 + 1605*a - 190 = 0 for a.
-19, 2/15, 1
Let -2*o**2/3 - 32*o/3 - 56/3 = 0. Calculate o.
-14, -2
What is x in x**2/4 + 351*x/2 + 123201/4 = 0?
-351
Find g such that 46*g**2 + 38*g - 8 = 0.
-1, 4/23
Factor -c**3/4 + c**2/2 + 5*c + 6.
-(c - 6)*(c + 2)**2/4
Factor 2*x**3 - 136*x**2 - 138*x.
2*x*(x - 69)*(x + 1)
Factor -5*p**2 - 1040*p + 2100.
-5*(p - 2)*(p + 210)
Factor -3*q**4/5 - 207*q**3/5 - 288*q**2 + 150528*q/5 + 2654208/5.
-3*(q - 27)*(q + 32)**3/5
Find r, given that -2*r**4/7 + 24*r**3/7 - 54*r**2/7 - 8*r/7 + 72/7 = 0.
-1, 2, 9
Factor -2*g**4 + g**3 + 6*g**2 - 7*g + 2.
-(g - 1)**2*(g + 2)*(2*g - 1)
Factor 2*g**4/3 + g**3 - g/3.
g*(g + 1)**2*(2*g - 1)/3
What is i in 5*i**2 + 25*i - 120 = 0?
-8, 3
Factor 4*a**4/5 + 4024*a**3/5 + 1008004*a**2/5 - 2028096*a/5 + 1016064/5.
4*(a - 1)**2*(a + 504)**2/5
Factor 4*f**2 - 412*f + 808.
4*(f - 101)*(f - 2)
Solve -w**5/2 + 20*w**4 + 210*w**3 + 505*w**2 + 925*w/2 + 147 = 0.
-6, -1, 49
Factor -23*w**2/4 - w/2.
-w*(23*w + 2)/4
Determine f, given that -2*f**5/7 + 38*f**4/7 - 52*f**3/7 - 44*f**2 + 90*f - 306/7 = 0.
-3, 1, 3, 17
Factor 3*h**3/2 - 207*h**2/2 + 2268*h - 16038.
3*(h - 33)*(h - 18)**2/2
Factor 16*x**2/5 - 22*x - 14/5.
2*(x - 7)*(8*x + 1)/5
Let -6*f**2 - 3432*f/7 + 984/7 = 0. What is f?
-82, 2/7
Let -4*m**4 + 16*m**3 + 76*m**2 + 56*m = 0. Calculate m.
-2, -1, 0, 7
Factor -2*w**4 + 24*w**3 + 62*w**2 - 84*w.
-2*w*(w - 14)*(w - 1)*(w + 3)
Suppose 2*t**2 - 576*t = 0. What is t?
0, 288
Let -y**4 - 7*y**3 - 6*y**2 = 0. What is y?
-6, -1, 0
Factor -d**2/8 - d - 7/8.
-(d + 1)*(d + 7)/8
Factor g**4 + 250*g**3 + 14857*g**2 - 96000*g + 147456.
(g - 3)**2*(g + 128)**2
Factor p**4 + p**3.
p**3*(p + 1)
Suppose -2*t**3 - 50*t**2 + 2064*t - 14112 = 0. What is t?
-49, 12
Suppose -d**5/4 + 19*d**4/4 + 13*d**3/4 - 1183*d**2/4 = 0. Calculate d.
-7, 0, 13
Let n**3 - 24*n**2 + 99*n - 76 = 0. Calculate n.
1, 4, 19
Determine d, given that d**3/5 - 3*d**2/5 - 9*d/5 - 1 = 0.
-1, 5
Factor -l**4 - l**3 + 32*l**2 + 60*l.
-l*(l - 6)*(l + 2)*(l + 5)
Factor 2*q**2/7 - 22*q/7 - 24/7.
2*(q - 12)*(q + 1)/7
Determine u so that 2*u**2 + 22*u + 60 = 0.
-6, -5
Let -392*z**4/3 - 14*z**3 + 60*z**2 + 18*z = 0. What is z?
-3/7, 0, 3/4
Factor -g**2/3 + 5*g - 14/3.
-(g - 14)*(g - 1)/3
Solve 2*x**3 + 14*x**2 + 30*x + 18 = 0.
-3, -1
Determine x so that x**2/7 + 6*x/7 - 1 = 0.
-7, 1
Solve -2*g**2/3 - 70*g/3 + 24 = 0.
-36, 1
Determine u so that 7*u**4 - 59*u**3 + 143*u**2 - 121*u + 30 = 0.
3/7, 1, 2, 5
Factor p**3/3 - 1040*p**2/3 + 2077*p/3 - 346.
(p - 1038)*(p - 1)**2/3
Let -4*k**3/5 + 516*k**2/5 - 204*k + 508/5 = 0. Calculate k.
1, 127
Factor 4*c**2 - 3*c/5.
c*(20*c - 3)/5
Find g, given that -2*g**4/15 - 8*g**3/5 - 34*g**2/5 - 176*g/15 - 32/5 = 0.
-4, -3, -1
What is f in 3*f**5/4 + 6*f**4 + 27*f**3/2 + 3*f**2 - 57*f/4 - 9 = 0?
-4, -3, -1, 1
Find y such that 5*y**3 - 15*y**2 - 30*y + 40 = 0.
-2, 1, 4
Determine z, given that -2*z**5 - 26*z**4 = 0.
-13, 0
Factor -5*o**3 + 2705*o**2 - 364495*o - 367205.
-5*(o - 271)**2*(o