
615
Determine r so that r**2/8 - 303*r/8 + 301/4 = 0.
2, 301
Factor 7396*t**4 + 4128*t**3 + 576*t**2.
4*t**2*(43*t + 12)**2
Let 5*l**4 + 235*l**3 + 1060*l**2 + 380*l - 1680 = 0. Calculate l.
-42, -4, -2, 1
Factor -2*c**4/3 + 2*c**3/3 + 80*c**2/3 - 224*c/3.
-2*c*(c - 4)**2*(c + 7)/3
Factor 24*i**3 + 2529*i**2 + 3441*i + 936.
3*(i + 1)*(i + 104)*(8*i + 3)
Factor -5*m**2 - 1370*m - 93845.
-5*(m + 137)**2
Let 2*l**2/5 + 16*l + 78/5 = 0. What is l?
-39, -1
Determine g so that 3*g**2 + 25*g + 8 = 0.
-8, -1/3
Factor -41*s**2/4 + 201*s/4 + 5.
-(s - 5)*(41*s + 4)/4
Factor -4*c**2 + 320*c - 6400.
-4*(c - 40)**2
Find n such that 2*n**3 + 19*n**2/2 - 29*n/2 + 3 = 0.
-6, 1/4, 1
Factor -73441*b**2/8 - 813*b/4 - 9/8.
-(271*b + 3)**2/8
Let 3*b**5/5 - b**4/5 - 23*b**3/5 - 11*b**2/5 + 4*b + 12/5 = 0. Calculate b.
-2, -1, -2/3, 1, 3
Determine o, given that o**3/5 + 322*o**2/5 = 0.
-322, 0
Suppose 2*d**2 - 16*d = 0. What is d?
0, 8
Factor -2*a**2/13 - 24*a/13 + 2.
-2*(a - 1)*(a + 13)/13
Factor l**3 + 8*l**2 - 45*l + 36.
(l - 3)*(l - 1)*(l + 12)
Suppose -2*w**5 - 98*w**4 - 190*w**3 - 94*w**2 = 0. Calculate w.
-47, -1, 0
Factor -5*l**3 - 55*l**2 - 140*l.
-5*l*(l + 4)*(l + 7)
Find x such that 2*x**2/3 + 608*x/3 + 46208/3 = 0.
-152
Factor 20*p**2 - 19*p - 1.
(p - 1)*(20*p + 1)
Factor h**4/11 + 48*h**3/11 + 810*h**2/11 + 5400*h/11 + 10125/11.
(h + 3)*(h + 15)**3/11
Determine y, given that -3*y**2/2 - 129*y/2 + 1305 = 0.
-58, 15
Suppose -4*m**4/3 + 422*m**3/9 - 154*m**2/3 - 488*m/9 + 136/3 = 0. Calculate m.
-1, 2/3, 3/2, 34
Determine r so that -5*r**4 - 65*r**3 - 215*r**2 - 75*r + 360 = 0.
-8, -3, 1
Find z, given that -z**2/4 + 61*z/2 - 60 = 0.
2, 120
Let -4*h**4 + 4*h**3 + 12*h**2 - 4*h - 8 = 0. Calculate h.
-1, 1, 2
Suppose -44*o**3 - 452*o**2 - 120*o = 0. Calculate o.
-10, -3/11, 0
Factor c**4/3 - 4*c**2/3.
c**2*(c - 2)*(c + 2)/3
Factor -2*i**4 - 20*i**3 + 6*i**2 + 280*i - 392.
-2*(i - 2)**2*(i + 7)**2
Determine q so that 6*q**2/5 + 128*q/5 = 0.
-64/3, 0
Solve -w**3/5 + 6*w**2/5 + 16*w/5 = 0.
-2, 0, 8
Suppose -175*a**2 + 4560*a - 260 = 0. What is a?
2/35, 26
Suppose 6*b**2/11 - 11856*b/11 + 5856864/11 = 0. What is b?
988
Factor j**4 - 5216*j**3.
j**3*(j - 5216)
Solve n**4/3 + 19*n**3/3 + 86*n**2/3 + 104*n/3 = 0.
-13, -4, -2, 0
Solve -x**3 - 18*x**2 + 81*x + 378 = 0.
-21, -3, 6
Find w such that -2*w**5 - 16*w**4 - 36*w**3 - 32*w**2 - 10*w = 0.
-5, -1, 0
What is b in 2*b**5 - 2*b**4 - 24*b**3 + 56*b**2 - 32*b = 0?
-4, 0, 1, 2
Find t, given that 5*t**3 + 80*t**2 + 140*t = 0.
-14, -2, 0
Determine t, given that -25*t**2 - 2465*t - 1470 = 0.
-98, -3/5
Suppose -22*z**2/5 + 219*z/5 + 2 = 0. What is z?
-1/22, 10
Let 2*d**5/9 + 8*d**4 + 92*d**3 + 3752*d**2/9 + 1862*d/3 = 0. Calculate d.
-19, -7, -3, 0
Let -18*t**5/13 + 112*t**4/13 - 150*t**3/13 - 80*t**2/13 + 168*t/13 - 32/13 = 0. What is t?
-1, 2/9, 1, 2, 4
Find t such that t**4/10 + 4*t**3/5 + 3*t**2/2 - 4*t/5 - 8/5 = 0.
-4, -1, 1
Determine g, given that -2*g**2 - 40*g + 138 = 0.
-23, 3
Find g, given that -g**2/2 - 45*g - 2025/2 = 0.
-45
Factor -5*v**2 - 3460*v - 598580.
-5*(v + 346)**2
What is x in 2*x**3/15 - 1132*x**2/15 = 0?
0, 566
Solve -5*c**4 - 1765*c**3/4 - 3825*c**2/4 + 1935*c/2 = 0.
-86, -3, 0, 3/4
Factor -i**5/4 - 29*i**4/4 + 61*i**3/4 - 31*i**2/4.
-i**2*(i - 1)**2*(i + 31)/4
Factor 20*a**2 + 132*a + 72.
4*(a + 6)*(5*a + 3)
Factor 5*a**3 - 65*a**2 + 175*a + 245.
5*(a - 7)**2*(a + 1)
Factor -4*v**3 - 72*v**2 + 4*v + 72.
-4*(v - 1)*(v + 1)*(v + 18)
Factor p**3/3 + 107*p**2/3 + 106*p/3.
p*(p + 1)*(p + 106)/3
Determine a, given that -2*a**3/11 - 58*a**2/11 - 200*a/11 = 0.
-25, -4, 0
Suppose 7*c**4 - 103*c**3 - 30*c**2 = 0. What is c?
-2/7, 0, 15
Solve 3*z**5/5 + 18*z**4/5 - 129*z**3/5 - 36*z**2/5 + 108*z = 0.
-10, -2, 0, 3
Suppose -108*r**4 - 159*r**3 + 159*r**2 + 96*r + 12 = 0. Calculate r.
-2, -1/4, -2/9, 1
Find d such that -15*d**3 - 6778*d**2 + 905*d + 452 = 0.
-452, -1/5, 1/3
Factor -f**2/7 + 204*f/7 - 10404/7.
-(f - 102)**2/7
Let 5*b**3 + 120*b**2 + 445*b - 570 = 0. Calculate b.
-19, -6, 1
Solve -6*f**3/11 - 126*f**2/11 + 918*f/11 - 1458/11 = 0.
-27, 3
Let 5*i**3 + 55*i**2 - 125*i + 65 = 0. What is i?
-13, 1
Factor -4*c**2 + 1680*c + 10224.
-4*(c - 426)*(c + 6)
Determine p, given that -2*p**4 - 56*p**3 + 8*p**2 + 224*p = 0.
-28, -2, 0, 2
What is f in 788*f**4/5 + 156*f**3 - 8*f**2/5 = 0?
-1, 0, 2/197
Find w, given that 5*w**2/6 - 45*w/2 + 125/3 = 0.
2, 25
Factor 3*i**3 + 273*i**2 - 3600*i + 11124.
3*(i - 6)**2*(i + 103)
Determine t so that t**3 - 24*t**2 + 192*t - 512 = 0.
8
Determine a so that -4*a**4/7 - 52*a**3/7 - 104*a**2/7 + 160*a/7 = 0.
-10, -4, 0, 1
Factor -4*j**4 - 8*j**3 + 108*j**2 + 432*j + 432.
-4*(j - 6)*(j + 2)*(j + 3)**2
Factor 4*v**2/3 + 80*v/3 - 128.
4*(v - 4)*(v + 24)/3
Factor -11*o**4 - 97*o**3 - 246*o**2 - 172*o + 40.
-(o + 2)**2*(o + 5)*(11*o - 2)
Determine g, given that 57*g**3 + 1875*g**2 - 2136*g + 204 = 0.
-34, 2/19, 1
Determine a so that -3*a**2/8 + 291*a/8 + 1431/4 = 0.
-9, 106
Factor 2*m**3 - 12*m**2 - 2*m + 12.
2*(m - 6)*(m - 1)*(m + 1)
Factor 4*k**2 + 2652*k - 5320.
4*(k - 2)*(k + 665)
Find s such that 2*s**2 - 1478*s - 2964 = 0.
-2, 741
Determine g, given that -2*g**3/3 + 260*g**2/3 - 766*g/3 + 508/3 = 0.
1, 2, 127
Factor -2*j**3/7 + 2*j**2/7 + 16*j/7 - 24/7.
-2*(j - 2)**2*(j + 3)/7
Factor 4*i**5 - 404*i**4 + 9580*i**3 + 31204*i**2 + 32032*i + 10816.
4*(i - 52)**2*(i + 1)**3
Factor 2*r**4/3 + 5012*r**3/3 + 3135002*r**2/3 - 2095016*r + 1048344.
2*(r - 1)**2*(r + 1254)**2/3
Find t, given that -t**3 - 13*t**2 + 80*t + 204 = 0.
-17, -2, 6
Suppose -417605*n**2 - 46240*n - 1280 = 0. What is n?
-16/289
Factor -3*l**3 - 6*l**2.
-3*l**2*(l + 2)
What is h in -2*h**3/7 - 296*h**2/7 = 0?
-148, 0
Factor -4*f**3 + 2496*f**2 - 389376*f.
-4*f*(f - 312)**2
Find k such that 4*k**2/5 - 152*k/5 + 768/5 = 0.
6, 32
Let 5*p**5 + 5*p**4 - 25*p**3 + 15*p**2 = 0. What is p?
-3, 0, 1
Factor 245*w**4 + 336*w**3 + 83*w**2 - 12*w - 4.
(w + 1)*(5*w - 1)*(7*w + 2)**2
Suppose 5*f**3 + 410*f**2 - 3565*f + 3150 = 0. Calculate f.
-90, 1, 7
Find s such that -4*s**2 - 100*s - 96 = 0.
-24, -1
Solve 55*j**5/3 - 355*j**4/3 - 125*j**3 + 2935*j**2/3 + 4400*j/3 + 500 = 0 for j.
-2, -1, -6/11, 5
Factor 5*n**4 - 15*n**3 - 35*n**2 + 75*n + 90.
5*(n - 3)**2*(n + 1)*(n + 2)
Solve d**2/10 + d - 39/10 = 0 for d.
-13, 3
Find u such that -32*u**3/13 + 48*u**2/13 - 18*u/13 + 2/13 = 0.
1/4, 1
Suppose 2*h**3/7 + 54*h**2/7 - 2*h/7 - 54/7 = 0. What is h?
-27, -1, 1
Find c such that -c**3/3 - 62*c**2/3 - 121*c/3 - 20 = 0.
-60, -1
Find b such that 3*b**3 - 135*b**2 + 477*b + 615 = 0.
-1, 5, 41
Let -10*y**3 - 99*y**2/5 - 48*y/5 + 1/5 = 0. What is y?
-1, 1/50
What is t in -4*t**3/7 - 144*t**2/7 = 0?
-36, 0
Factor -5*s**3 - 100*s**2 + 5*s + 100.
-5*(s - 1)*(s + 1)*(s + 20)
Let p**5/4 + 3*p**4/2 - 123*p**3/4 - 259*p**2 - 288*p + 576 = 0. Calculate p.
-8, -3, 1, 12
Solve -2*z**3 + 862*z**2 + 1730*z + 866 = 0.
-1, 433
Determine w, given that 9025*w**4/4 - 13490*w**3 + 40043*w**2/2 + 426*w + 9/4 = 0.
-1/95, 3
Determine t so that -2*t**3 - 2*t**2 + 2*t + 2 = 0.
-1, 1
Find j, given that 2*j**5 + 12*j**4 + 20*j**3 - 22*j - 12 = 0.
-3, -2, -1, 1
Solve -2*k**2/17 + 4*k/17 = 0 for k.
0, 2
Determine y, given that -2*y**5/9 + 14*y**4/9 - 2*y**3 - 14*y**2/9 + 20*y/9 = 0.
-1, 0, 1, 2, 5
Determine j so that -12*j**5 + 15*j**4 + 33*j**3 - 21*j**2 - 21*j + 6 = 0.
-1, 1/4, 1, 2
Determine a so that -2*a**2 + 2544*a - 808992 = 0.
636
What is h in 2*h**2/9 - 14*h/3 = 0?
0, 21
Solve 2*n**5/13 - 4*n**3/13 + 2*n/13 = 0 for n.
-1, 0, 1
Suppose a**3 + 24*a**2 + 21*a - 46 = 0. What is a?
-23, -2, 1
Factor 3*m**2/4 + 180*m + 10800.
3*(m + 120)**2/4
Find p, given that -4*p**2 + 3432*p - 3428 = 0.
1, 857
Factor 3*h**3 - 21*h**2 - 12*h + 84.
3*(h - 7)*(h - 2)*(h + 2)
Determine c so that -3*c**4 + 186*c**3 - 879*c**2 + 1380*c - 684 = 0.
1, 2, 57
Find l such that 3*l**5/4 - 45*l**4/4 - 171*l**3/4 + 129*l**2/4 + 144*l + 81 = 0.
-3, -1, 2, 18
Determine i, given that 145*i**2/3 + 289*i/3 - 2/3 = 0.
-2, 1/145
What is n in -35*n**3 + 1565*n**2 - 3960*n - 1260 = 0?
-2/7, 3, 42
Determine c so that -2*c**2/5 - 1128*c/5 - 159048/5 = 0.
-282
Factor 20*z**4 + 88*z**3 - 68*z**2 - 40*z.
4*z*(z - 1)*(z + 5)*(5*z + 2)
What is o in 2*o**3/7 + 18*o**2/7 + 16*o/7 = 0?
-8, -1, 0
Find o, 