= 0.
0, 874
Factor -5*f**3 + 155*f**2 - 295*f + 145.
-5*(f - 29)*(f - 1)**2
Let -28*u**5 - 8*u**4 + 84*u**3 - 32*u**2 - 16*u = 0. What is u?
-2, -2/7, 0, 1
Let 5*l**5 - 75*l**4 + 230*l**3 + 870*l**2 - 3115*l - 3675 = 0. What is l?
-3, -1, 5, 7
Find h, given that -h**3 - 7*h**2 + 21*h + 27 = 0.
-9, -1, 3
Find j such that 2*j**5 + 70*j**4 - 468*j**3 + 968*j**2 - 656*j = 0.
-41, 0, 2
Factor 5*f**3 - 5500*f**2 + 1512500*f.
5*f*(f - 550)**2
Factor -2*y**5/13 - 28*y**4/13 - 122*y**3/13 - 168*y**2/13 - 72*y/13.
-2*y*(y + 1)**2*(y + 6)**2/13
Determine s, given that 4*s**4 + 40*s**3 - 92*s**2 + 48*s = 0.
-12, 0, 1
Factor -4*w**3/5 + 4*w/5.
-4*w*(w - 1)*(w + 1)/5
What is z in -18*z**5/5 - 1584*z**4/5 + 3216*z**3/5 - 6464*z**2/15 + 96*z = 0?
-90, 0, 2/3
Suppose p**3 - 63*p**2 + 351*p - 513 = 0. Calculate p.
3, 57
Factor -h**2 - 13*h - 36.
-(h + 4)*(h + 9)
Factor 3*d**4/4 + 93*d**3/2 - 381*d**2/4 + 48*d.
3*d*(d - 1)**2*(d + 64)/4
Factor -c**2/3 - 25*c - 284/3.
-(c + 4)*(c + 71)/3
Factor -x**3/2 - 71*x**2/6 + 187*x/3 + 140/3.
-(x - 5)*(x + 28)*(3*x + 2)/6
Solve -3*t**5 - 57*t**4 + 60*t**3 = 0.
-20, 0, 1
Factor -q**2 + 891*q - 1778.
-(q - 889)*(q - 2)
Solve -12*x**3 - 116*x**2 - 152*x + 64 = 0 for x.
-8, -2, 1/3
Suppose 5*a**3 - 60*a + 80 = 0. What is a?
-4, 2
Factor -5*r**2 + 120*r - 720.
-5*(r - 12)**2
Let -3*n**3 - 4776*n**2 - 1896063*n + 3811254 = 0. Calculate n.
-797, 2
Factor 2*m**3/7 + 10510*m**2/7 - 21026*m/7 + 1502.
2*(m - 1)**2*(m + 5257)/7
Determine x so that 7*x**5 - 68*x**4 - 27*x**3 + 68*x**2 + 20*x = 0.
-1, -2/7, 0, 1, 10
Suppose -2*a**2/11 + 40*a/11 - 38/11 = 0. What is a?
1, 19
What is x in 3*x**2 + 54*x = 0?
-18, 0
Determine k, given that -4*k**4 - 44*k**3 - 36*k**2 + 44*k + 40 = 0.
-10, -1, 1
Factor -p**3/2 - 1716*p**2 - 1963104*p - 748596992.
-(p + 1144)**3/2
Factor -2*d**3/13 - 32*d**2/13 - 154*d/13 - 196/13.
-2*(d + 2)*(d + 7)**2/13
Let -2*j**5 - 154*j**4 - 3180*j**3 - 8060*j**2 + 3182*j + 8214 = 0. Calculate j.
-37, -3, -1, 1
Factor -3*b**4 - 27*b**3 - 54*b**2.
-3*b**2*(b + 3)*(b + 6)
Factor -5*k**3 + 40*k**2 + 20*k - 160.
-5*(k - 8)*(k - 2)*(k + 2)
Let 3*k**3 + 33*k**2 - 75*k + 39 = 0. What is k?
-13, 1
Determine d, given that -5*d**2/6 - 65*d/6 - 100/3 = 0.
-8, -5
What is x in 24*x**5/7 - 46*x**4/7 - 6*x**3/7 + 4*x**2/7 = 0?
-1/3, 0, 1/4, 2
Find r such that -4*r**5/5 - 24*r**4/5 - 8*r**3/5 + 16*r**2 + 108*r/5 + 8 = 0.
-5, -1, 2
Suppose l**2/6 + 8*l/3 + 5/2 = 0. What is l?
-15, -1
Factor 20*t**2/3 - 7988*t/3 + 2656.
4*(t - 1)*(5*t - 1992)/3
Factor 4*l**2/3 + 1292*l/3.
4*l*(l + 323)/3
Suppose 4*b**4 + 180*b**3 - 192*b**2 - 368*b = 0. Calculate b.
-46, -1, 0, 2
Suppose p**4/2 - 44*p**3 - 45*p**2 + 44*p + 89/2 = 0. What is p?
-1, 1, 89
Factor -5*t**3 - 300*t**2 - 295*t.
-5*t*(t + 1)*(t + 59)
Suppose 2*x**4/15 - 16*x**3/3 + 716*x**2/15 + 112*x + 294/5 = 0. What is x?
-1, 21
Factor 2*n**3/15 + 68*n**2/15 + 118*n/5 + 168/5.
2*(n + 3)**2*(n + 28)/15
Find f, given that 3*f**4/2 + 255*f**3 + 14364*f**2 + 263169*f - 555579/2 = 0.
-57, 1
Factor 16*k**3 - 18*k**2/7.
2*k**2*(56*k - 9)/7
Suppose -5*z**3 + 100*z**2 + 815*z - 910 = 0. Calculate z.
-7, 1, 26
Solve 9*r**5/4 + 165*r**4/4 - 483*r**3/4 + 435*r**2/4 - 63*r/2 = 0 for r.
-21, 0, 2/3, 1
Let -14*h**5/3 + 410*h**4/3 - 116*h**3/3 = 0. Calculate h.
0, 2/7, 29
Find u, given that -2*u**4 - 10*u**3 - 4*u**2 + 40*u + 48 = 0.
-3, -2, 2
Solve s**2 - 6660*s + 11088900 = 0 for s.
3330
Factor r**2/3 + 8*r/3 + 7/3.
(r + 1)*(r + 7)/3
Factor -3*v**2 + 6084*v - 3084588.
-3*(v - 1014)**2
Let -2*r**2/3 + 2896*r - 3145056 = 0. What is r?
2172
Solve j**3/4 - 489*j**2 + 318828*j - 69291952 = 0 for j.
652
Factor -5*h**4/3 + 455*h**3 - 41405*h**2 + 3767855*h/3.
-5*h*(h - 91)**3/3
Let -3*f**2 - 99*f - 186 = 0. Calculate f.
-31, -2
Factor 5*o**2/3 - 100*o/3 - 315.
5*(o - 27)*(o + 7)/3
Determine s so that 5*s**3 + 70*s**2 - 20*s - 280 = 0.
-14, -2, 2
Suppose -2*h**2 - 196*h - 570 = 0. What is h?
-95, -3
Solve 4*d**4 - 12*d**3 - 92*d**2 - 132*d - 56 = 0.
-2, -1, 7
Solve 5*v**4 - 30*v**3 + 15*v**2 + 50*v = 0 for v.
-1, 0, 2, 5
Determine c, given that -3*c**2/2 + 9*c/2 + 132 = 0.
-8, 11
Factor -2*t**5/7 + 4*t**3/7 - 2*t/7.
-2*t*(t - 1)**2*(t + 1)**2/7
Factor -216*p**4 + 8052*p**3 - 99450*p**2 + 399375*p + 93750.
-3*(2*p - 25)**3*(9*p + 2)
Factor 2*o**5/7 + 24*o**4/7 + 8*o**3/7 - 384*o**2/7 + 512*o/7.
2*o*(o - 2)**2*(o + 8)**2/7
Factor k**4/6 + 11*k**3/3 + 26*k**2 + 60*k.
k*(k + 6)**2*(k + 10)/6
Determine a so that 2*a**4/7 + 52*a**3/7 - 194*a**2/7 - 580*a/7 = 0.
-29, -2, 0, 5
Factor 5*p**2/4 - 20.
5*(p - 4)*(p + 4)/4
Suppose 4*a**3 - 12*a**2 - 184*a - 288 = 0. Calculate a.
-4, -2, 9
Determine z so that -21*z**4/2 - 24*z**3 - 153*z**2/8 - 51*z/8 - 3/4 = 0.
-1, -1/2, -2/7
Let 10*z**5 + 298*z**4/3 - 104*z**3/3 - 256*z**2 + 704*z/3 - 160/3 = 0. What is z?
-10, -2, 2/5, 2/3, 1
Let 2*x**3 + 26*x**2 + 102*x + 126 = 0. Calculate x.
-7, -3
Factor -2*q**2 + 28*q - 66.
-2*(q - 11)*(q - 3)
Determine v so that -4*v**3/5 + 28*v**2/5 - 24*v/5 = 0.
0, 1, 6
Let -b**4/5 + 14*b**3/5 - 73*b**2/5 + 168*b/5 - 144/5 = 0. What is b?
3, 4
Factor k**3/9 - 23*k**2/9 + 86*k/9 + 272/9.
(k - 17)*(k - 8)*(k + 2)/9
Find u, given that 2*u**5 - 88*u**4 + 80*u**3 + 260*u**2 - 82*u - 172 = 0.
-1, 1, 2, 43
Factor 2*j**4/5 + 2*j**3 + 12*j**2/5 - 8*j/5 - 16/5.
2*(j - 1)*(j + 2)**3/5
Solve -80*z**4 + 844*z**3 - 1144*z**2 + 236*z + 144 = 0.
-1/4, 4/5, 1, 9
Factor -u**4/8 - 3*u**3/4 + 25*u**2/8 - 9*u/4.
-u*(u - 2)*(u - 1)*(u + 9)/8
Solve -2*d**5/9 - 26*d**4 - 798*d**3 - 2166*d**2 = 0.
-57, -3, 0
Factor -u**2/5 - 92*u/5 - 91/5.
-(u + 1)*(u + 91)/5
Factor 3*m**2/5 - 81*m/5 + 528/5.
3*(m - 16)*(m - 11)/5
Factor 16*d**4 + 20*d**3 - 72*d**2 + 36*d.
4*d*(d - 1)*(d + 3)*(4*d - 3)
What is n in 2*n**2 - 10*n = 0?
0, 5
Factor 5*w**5 - 290*w**4 + 3260*w**3 + 26920*w**2 + 58880*w + 40960.
5*(w - 32)**2*(w + 2)**3
Factor 3*a**5 - 6*a**4 - 36*a**3 + 24*a**2 + 96*a.
3*a*(a - 4)*(a - 2)*(a + 2)**2
Determine y so that 5*y**3 + 1815*y**2 + 219615*y + 8857805 = 0.
-121
Factor o**4/5 + 229*o**3/5 + 12762*o**2/5 - 39904*o/5 + 26912/5.
(o - 2)*(o - 1)*(o + 116)**2/5
Factor 3*n**2 - 75*n.
3*n*(n - 25)
Factor -2*m**3/21 + 122*m**2/21 + 86*m/7 - 18.
-2*(m - 63)*(m - 1)*(m + 3)/21
Factor -5*x**3/2 - 637*x**2/2 - 442*x - 126.
-(x + 1)*(x + 126)*(5*x + 2)/2
Find h, given that -4*h**3/5 - 164*h**2/5 + 104*h - 352/5 = 0.
-44, 1, 2
Determine z, given that -5*z**3 - 95*z**2 + 110*z + 200 = 0.
-20, -1, 2
Determine w, given that 4*w**4/3 - 472*w**3/3 + 5228*w**2 - 103840*w/3 + 193600/3 = 0.
4, 55
Solve 3*b**2 + 171*b = 0 for b.
-57, 0
Solve -30*t**5/13 + 196*t**4/13 - 26*t**3 + 140*t**2/13 - 16*t/13 = 0.
0, 1/5, 1/3, 2, 4
What is b in 72*b**5 - 372*b**4 + 332*b**3 + 36*b**2 - 84*b + 16 = 0?
-1/2, 1/3, 1, 4
Let -10*q**3/9 - 8*q**2/3 = 0. What is q?
-12/5, 0
Let -2*r**2 + 5228*r - 3416498 = 0. What is r?
1307
Find r such that -r**4 - 3*r**3 + 4*r**2 + 12*r = 0.
-3, -2, 0, 2
Solve -i**5 + 6*i**4 + 6*i**3 - 44*i**2 + 51*i - 18 = 0 for i.
-3, 1, 6
Determine q so that -4*q**2 - 560*q - 556 = 0.
-139, -1
Determine p, given that 4*p**4 - 40*p**3 + 68*p**2 - 32*p = 0.
0, 1, 8
Factor 13778*s**2/5 + 332*s/5 + 2/5.
2*(83*s + 1)**2/5
Factor -5*c**3 - 235*c**2 + 740*c - 500.
-5*(c - 2)*(c - 1)*(c + 50)
Determine p, given that -3*p**2/5 - 57*p/5 - 144/5 = 0.
-16, -3
Solve 25*g**4 + 265*g**3 - 760*g**2 + 260*g = 0 for g.
-13, 0, 2/5, 2
Factor 2*w**3/3 - 340*w**2 + 1018*w/3.
2*w*(w - 509)*(w - 1)/3
Solve b**5/5 + 498*b**4/5 - 999*b**3/5 + 100*b**2 = 0.
-500, 0, 1
Suppose -2*q**5/7 - 18*q**4/7 - 20*q**3/7 + 120*q**2/7 + 16*q - 192/7 = 0. Calculate q.
-6, -4, -2, 1, 2
Let 3*a**2/2 + 363*a/2 + 180 = 0. What is a?
-120, -1
Let -z**4/3 - 23*z**3/3 - 22*z**2/3 = 0. What is z?
-22, -1, 0
Find a such that 3*a**3 + 24*a**2 - 3*a - 24 = 0.
-8, -1, 1
Find f such that -f**5/5 + 4*f**4/5 + 8*f**3/5 - 2*f**2 - 23*f/5 - 2 = 0.
-1, 2, 5
Suppose -326*x**2 + 314*x + 12 = 0. Calculate x.
-6/163, 1
Factor -5*v**2 + 190*v.
-5*v*(v - 38)
Factor t**2 - 996*t + 995.
(t - 995)*(t - 1)
Find r such that 6*r**5/7 - 68*r**4/7 - 6*r**3/7 + 44*r**2 = 0.
-2, 0, 7/3, 11
Suppose -3*d**3/4 - 27*d**2/2 + 405*d/4 + 2025 = 0. What is d?
-15, 12
Determine x so that 2*x**5/3 + 34*x**4/3 - 16*x**3/3 - 424*x**2 + 1344*x - 1152 = 0.
-12, 2, 3
Factor