**3
Solve -m**4/2 - 577*m**3 - 1153*m**2/2 = 0 for m.
-1153, -1, 0
Find y, given that -20*y**3 + 312*y**2 - 972*y - 440 = 0.
-2/5, 5, 11
Let -2*d**4/9 - 50*d**3/9 - 44*d**2/3 = 0. Calculate d.
-22, -3, 0
Determine v so that 45*v**5 + 35*v**4 - 55*v**3 - 35*v**2 + 10*v = 0.
-1, 0, 2/9, 1
Factor 2*m**3/7 + 2*m**2/7 - 8*m/7 - 8/7.
2*(m - 2)*(m + 1)*(m + 2)/7
Let -3*j**2 + 51*j + 1044 = 0. Calculate j.
-12, 29
Solve 5*v**2 - 7820*v = 0 for v.
0, 1564
Find k such that 36*k**5 + 8340*k**4 + 481617*k**3 - 164946*k**2 - 200448*k + 80736 = 0.
-116, -2/3, 1/2
Factor -3*r**2 - 54*r - 51.
-3*(r + 1)*(r + 17)
Factor 3*h**4/5 - 3*h**3 + 6*h**2/5 + 12*h - 72/5.
3*(h - 3)*(h - 2)**2*(h + 2)/5
Factor r**4/2 - 67*r**3/2 + 435*r**2/2 + 26527*r/2 - 13448.
(r - 41)**2*(r - 1)*(r + 16)/2
Find s such that -4*s**3 - 260*s**2 = 0.
-65, 0
Factor -6*p**5 - 10*p**4 - 4*p**3.
-2*p**3*(p + 1)*(3*p + 2)
Factor 2*w**4 + 14*w**3 + 16*w**2 - 32*w.
2*w*(w - 1)*(w + 4)**2
Determine r so that -r**4/3 - 43*r**3/3 - 160*r**2/3 - 52*r = 0.
-39, -2, 0
Factor 9*x**4 - 60*x**3 - 69*x**2.
3*x**2*(x + 1)*(3*x - 23)
Suppose 2*r**5 - 12*r**4 - 32*r**3 = 0. Calculate r.
-2, 0, 8
Solve 54*o**3 + 105*o**2 + 36*o = 0 for o.
-3/2, -4/9, 0
Factor -m**4 + 7*m**3 + 2*m**2 - 60*m + 72.
-(m - 6)*(m - 2)**2*(m + 3)
Factor -5*z**2 + 1045*z + 1050.
-5*(z - 210)*(z + 1)
Solve t**5/6 - 17*t**4/6 + 29*t**3/3 + 47*t**2/3 - 59*t/6 - 77/6 = 0 for t.
-1, 1, 7, 11
Determine w so that -144*w**5/5 + 60*w**4 - 112*w**3/5 - 49*w**2/5 = 0.
-1/4, 0, 7/6
Factor t**5/4 - 3*t**4 + 21*t**3/4 - 5*t**2/2.
t**2*(t - 10)*(t - 1)**2/4
Factor 5*x**3/4 + 1835*x**2/4.
5*x**2*(x + 367)/4
Determine n, given that 2*n**4/5 - 196*n**3/5 + 150*n**2 + 196*n/5 - 752/5 = 0.
-1, 1, 4, 94
Factor 5*u**5 + 20*u**4 - 130*u**3 + 220*u**2 - 155*u + 40.
5*(u - 1)**4*(u + 8)
Factor -4*u**2/3 + 320*u/3 - 768.
-4*(u - 72)*(u - 8)/3
Find u, given that u**5 + 15*u**4/4 - 50*u**3 + 465*u**2/4 - 86*u + 15 = 0.
-10, 1/4, 1, 2, 3
Determine f, given that -f**5/6 - 2*f**4 + 58*f**3/3 + 23*f**2 - 115*f/6 - 21 = 0.
-18, -1, 1, 7
Factor -2*m**2 - 168*m + 170.
-2*(m - 1)*(m + 85)
Solve 5*r**5 + 35*r**4 - 90*r**3 = 0 for r.
-9, 0, 2
Factor -2*b**2/9 - 12212*b/9.
-2*b*(b + 6106)/9
Find r, given that -4*r**5 - 50*r**4 + 591*r**3/4 - 37*r**2 - 197*r/4 - 15/2 = 0.
-15, -1/4, 1, 2
Suppose -o**5 - 10*o**4 + 48*o**3 + 640*o**2 + 1024*o = 0. What is o?
-8, -2, 0, 8
Suppose 2*k**3 - 36*k**2 + 66*k - 32 = 0. Calculate k.
1, 16
Determine p so that -2*p**3 + 3730*p**2 - 1737246*p - 1740978 = 0.
-1, 933
Solve -r**2 - 86*r - 1120 = 0 for r.
-70, -16
Suppose 8*l**3/5 - 46*l**2/5 + 68*l/5 - 6 = 0. Calculate l.
1, 15/4
Factor -r**5/2 - 15*r**4 - 60*r**3 + 760*r**2 - 1800*r + 1296.
-(r - 2)**3*(r + 18)**2/2
What is n in 5*n**4 + 90*n**3 + 225*n**2 - 20*n - 300 = 0?
-15, -2, 1
Solve q**3 + 202*q**2 + 201*q = 0.
-201, -1, 0
Suppose l**4/2 + 12*l**3 + 189*l**2/2 + 243*l = 0. Calculate l.
-9, -6, 0
What is h in 2*h**3/9 - 32*h**2/9 - 128*h/9 + 2048/9 = 0?
-8, 8, 16
Factor -8*b**3/7 - 30*b**2/7 - 24*b/7 + 8/7.
-2*(b + 2)**2*(4*b - 1)/7
Factor -2*t**3/11 - 10*t**2/11 + 2*t/11 + 10/11.
-2*(t - 1)*(t + 1)*(t + 5)/11
Suppose -7*a**4/4 - 69*a**3/2 + 7*a**2/4 + 69*a/2 = 0. Calculate a.
-138/7, -1, 0, 1
Factor 12*u**4 - 81*u**3 + 123*u**2 + 36*u.
3*u*(u - 4)*(u - 3)*(4*u + 1)
Determine x, given that -4*x**2 + 18760*x - 21996100 = 0.
2345
Let -2*b**5/11 + 26*b**4 + 874*b**3/11 + 298*b**2/11 - 872*b/11 - 584/11 = 0. Calculate b.
-2, -1, 1, 146
Factor -3*x**2 + 228*x + 231.
-3*(x - 77)*(x + 1)
Factor y**3/8 - 3*y**2/4 + y.
y*(y - 4)*(y - 2)/8
Solve -18*x**5 - 90*x**4 + 390*x**3 - 970*x**2/3 + 100*x - 32/3 = 0 for x.
-8, 1/3, 2
Factor -h**5/7 - 22*h**4/7 - 172*h**3/7 - 584*h**2/7 - 128*h - 512/7.
-(h + 2)**3*(h + 8)**2/7
Let 14*j**4/15 - 32*j**3/15 + 8*j**2/15 = 0. Calculate j.
0, 2/7, 2
Find p such that 2705138*p**2/7 - 27912*p/7 + 72/7 = 0.
6/1163
Find c, given that -5*c**4 + 2620*c**3 - 514830*c**2 + 44961820*c - 1472499605 = 0.
131
Factor -3*l**4 - 192*l**3 - 171*l**2 + 1134*l.
-3*l*(l - 2)*(l + 3)*(l + 63)
Factor 2*y**3/7 - 88*y**2/7 + 968*y/7.
2*y*(y - 22)**2/7
Factor -2*v**2 - 164*v.
-2*v*(v + 82)
Factor w**4/4 + 21*w**3/4 - 34*w**2 - 39*w.
w*(w - 6)*(w + 1)*(w + 26)/4
Let -2*a**5/5 + 11*a**4 + 274*a**3/5 + 439*a**2/5 + 286*a/5 + 64/5 = 0. What is a?
-2, -1, -1/2, 32
Determine r, given that r**3 - 39*r**2 = 0.
0, 39
Let -4*m**4 + 648*m**3 + 4032*m**2 + 128*m - 21504 = 0. What is m?
-4, 2, 168
Solve -9*y**4 - 453*y**3 - 1024*y**2 - 772*y - 192 = 0 for y.
-48, -1, -2/3
What is n in 2*n**5/7 + 52*n**4/7 + 314*n**3/7 - 656*n**2/7 - 4888*n/7 - 5408/7 = 0?
-13, -2, 4
Determine i, given that 2*i**2 - 13*i - 15 = 0.
-1, 15/2
Factor -4*r**2 + 212*r - 1968.
-4*(r - 41)*(r - 12)
Factor 2*g**4/7 + 278*g**3/7 + 12972*g**2/7 + 29624*g + 194672/7.
2*(g + 1)*(g + 46)**3/7
Determine l so that -24*l**5 + 116*l**4 - 156*l**3 + 76*l**2 - 12*l = 0.
0, 1/3, 1/2, 1, 3
Factor b**2/10 - 1528*b + 5836960.
(b - 7640)**2/10
Let -5*w**5 + 20*w**4 + 155*w**3 - 350*w**2 = 0. What is w?
-5, 0, 2, 7
Find p, given that 2*p**5 + 22*p**4 + 74*p**3 + 90*p**2 + 36*p = 0.
-6, -3, -1, 0
Factor -2*t**3 + 40*t**2 - 34*t - 76.
-2*(t - 19)*(t - 2)*(t + 1)
Solve w**3 = 0 for w.
0
Determine a, given that a**4/3 + 16*a**3/3 + 26*a**2 + 112*a/3 + 49/3 = 0.
-7, -1
Suppose -h**5/3 - 14*h**4/3 - 17*h**3 - 14*h**2/3 + 80*h/3 = 0. What is h?
-8, -5, -2, 0, 1
Let s**4 + 20*s**3 - s**2 - 20*s = 0. Calculate s.
-20, -1, 0, 1
Factor -3*m**2/2 - 15*m/2 + 36.
-3*(m - 3)*(m + 8)/2
Let 28*m**4 + 17*m**3 - 66*m**2 + 23*m - 2 = 0. Calculate m.
-2, 1/7, 1/4, 1
Factor 5*t**2 - 15930*t + 12688245.
5*(t - 1593)**2
Factor -x**4 + 156*x**3 - 153*x**2 - 310*x.
-x*(x - 155)*(x - 2)*(x + 1)
Factor -l**2/5 + 513*l/5 + 728.
-(l - 520)*(l + 7)/5
Suppose j**2/3 - 23*j/3 - 26 = 0. Calculate j.
-3, 26
Factor 3*b**3 - 12*b.
3*b*(b - 2)*(b + 2)
Suppose 5*r**2 + 335*r - 690 = 0. Calculate r.
-69, 2
Factor -16*h**4 + 175*h**3 - 549*h**2 + 365*h + 25.
-(h - 5)**2*(h - 1)*(16*h + 1)
Factor -3*w**2 + 12330*w - 12669075.
-3*(w - 2055)**2
Factor t**5/5 - 11*t**4/5 + 9*t**3 - 81*t**2/5 + 54*t/5.
t*(t - 3)**3*(t - 2)/5
Suppose -a**5/3 + a**4/3 + 14*a**3/3 + 26*a**2/3 + 19*a/3 + 5/3 = 0. Calculate a.
-1, 5
Factor t**4/3 - t**3/3 - 8*t**2/3 + 4*t.
t*(t - 2)**2*(t + 3)/3
Factor -4*b**3 + 3008*b**2 - 6004*b + 3000.
-4*(b - 750)*(b - 1)**2
Factor 14*q**4 - 60*q**3 + 58*q**2 - 12*q.
2*q*(q - 3)*(q - 1)*(7*q - 2)
Factor -4*g**3 + 248*g**2 + 508*g + 256.
-4*(g - 64)*(g + 1)**2
Factor 3*c**3 - 16155*c**2 + 28998225*c - 17350604625.
3*(c - 1795)**3
Find v, given that 4*v**2 - 36*v - 88 = 0.
-2, 11
Suppose -f**2/9 + 61*f/9 + 14 = 0. What is f?
-2, 63
Suppose -g**5/6 + 29*g**4/6 - 193*g**3/6 - 95*g**2/2 + 75*g = 0. What is g?
-2, 0, 1, 15
Solve 5*n**5 + 80*n**4 + 430*n**3 + 820*n**2 - 75*n - 1260 = 0 for n.
-7, -4, -3, 1
Factor 20*y**2/3 + 184*y/3.
4*y*(5*y + 46)/3
Determine a so that -3*a**2 - 654*a - 35643 = 0.
-109
Factor 2*x**4 + 1148*x**3 + 1144*x**2 - 1148*x - 1146.
2*(x - 1)*(x + 1)**2*(x + 573)
Solve -4*i**2/7 + 1464*i/7 - 1460/7 = 0 for i.
1, 365
Factor 25*k**3/2 + 790*k**2 + 1869*k/2 + 279.
(k + 62)*(5*k + 3)**2/2
Factor -10*t**3/7 + 66*t**2/7 + 4*t.
-2*t*(t - 7)*(5*t + 2)/7
Find m, given that -162*m**5 - 16956*m**4 - 27942*m**3 - 122596*m**2/9 - 23912*m/9 - 1648/9 = 0.
-103, -1, -2/9
Factor -2*o**4 - 26*o**3 - 114*o**2 - 190*o - 100.
-2*(o + 1)*(o + 2)*(o + 5)**2
Factor 3*b**4 + 888*b**3 + 95976*b**2 + 4437600*b + 72510384.
3*(b + 38)*(b + 86)**3
Determine f so that 100*f**2 + 1080*f + 2916 = 0.
-27/5
Factor -2*h**3/9 + 130*h**2/3 - 8450*h/3 + 549250/9.
-2*(h - 65)**3/9
Suppose 2*j**5 - 32*j**4 + 126*j**3 + 32*j**2 - 128*j = 0. What is j?
-1, 0, 1, 8
Factor -o**3/4 + 883*o**2/4 + 886*o + 887.
-(o - 887)*(o + 2)**2/4
Determine c so that -3*c**2/5 + 2474*c/5 + 165 = 0.
-1/3, 825
Factor 4*y**3 + 1080*y**2 + 97200*y + 2916000.
4*(y + 90)**3
Factor 2*r**2/5 + 14*r/5 + 12/5.
2*(r + 1)*(r + 6)/5
Find u such that 9*u**3 + 42*u**2 - 165*u - 126 = 0.
-7, -2/3, 3
Let -25*h**5/4 - 6365*h**4/2 - 539326*h**3 - 30273260*h**2 + 24478300*h - 4913000 = 0. Calculate h.
-170, 2/5
Determine c so that -6*c**5/5 + 162*c**4/5 - 714*c**3/5 - 882*c**2/5 = 0.
-1, 0, 7, 21
Determine n, given that 