2 + 19*v**2/6 - 17*v/3 = 0.
-1, 0, 1, 2, 17
Suppose -u**4/5 - 2*u**3/5 + 3*u**2/5 = 0. What is u?
-3, 0, 1
Factor 2*x**5/11 - 72*x**4/11 + 480*x**3/11 + 3200*x**2/11.
2*x**2*(x - 20)**2*(x + 4)/11
Factor -27*z**2/5 - 14883*z/5 - 3306/5.
-3*(z + 551)*(9*z + 2)/5
Let -16*k**5/3 - 68*k**4/3 + 68*k**2/3 + 16*k/3 = 0. Calculate k.
-4, -1, -1/4, 0, 1
Determine f so that f**3 - 15*f**2 + 12*f + 28 = 0.
-1, 2, 14
Factor x**3/8 - 3*x**2/8 - 2*x - 3/2.
(x - 6)*(x + 1)*(x + 2)/8
Suppose p**2/3 - 15*p - 196/3 = 0. What is p?
-4, 49
Factor -2*v**3/9 - 38*v**2/9 + 40*v/9.
-2*v*(v - 1)*(v + 20)/9
Solve 2*j**3 + 510*j**2 + 3006*j + 4482 = 0 for j.
-249, -3
Factor -2*l**4/13 + 750*l**3/13 - 2238*l**2/13 + 2234*l/13 - 744/13.
-2*(l - 372)*(l - 1)**3/13
Factor 2*t**2/9 + 8*t/9 - 64/9.
2*(t - 4)*(t + 8)/9
Factor -2*t**3/11 - 196*t**2/11.
-2*t**2*(t + 98)/11
Factor 2*t**3/9 + 44*t**2/9 - 146*t/9 + 100/9.
2*(t - 2)*(t - 1)*(t + 25)/9
Factor 6*c**3 - 40*c**2 + 22*c + 12.
2*(c - 6)*(c - 1)*(3*c + 1)
Find s, given that -s**5/5 - s**4/5 + s**3/5 + s**2/5 = 0.
-1, 0, 1
Suppose -25*b**5 - 190*b**4 - 5*b**3 + 760*b**2 + 420*b = 0. Calculate b.
-7, -2, -3/5, 0, 2
Factor 5*g**4 - 1190*g**3 + 68385*g**2 + 287980*g + 292820.
5*(g - 121)**2*(g + 2)**2
Determine k, given that -2*k**4/5 - 44*k**3/5 - 38*k**2/5 + 84*k/5 = 0.
-21, -2, 0, 1
Factor -a**2/4 + 15*a - 611/4.
-(a - 47)*(a - 13)/4
Find g such that -9*g**2 - 789*g + 264 = 0.
-88, 1/3
What is i in -2*i**4/9 + 2*i**3/9 + 26*i**2/9 - 2*i/9 - 8/3 = 0?
-3, -1, 1, 4
Factor -2*a**3 + 778*a**2 + 784*a - 1560.
-2*(a - 390)*(a - 1)*(a + 2)
Find x, given that -x**5/2 - 3*x**4/2 + 21*x**3/2 + 43*x**2/2 - 30*x = 0.
-5, -3, 0, 1, 4
Determine p, given that 4*p**5/9 - 76*p**4/3 + 1204*p**3/9 + 22540*p**2/3 - 68600*p/9 = 0.
-14, 0, 1, 35
Determine o, given that 2*o**5 - 178*o**4 + 846*o**3 - 494*o**2 - 848*o + 672 = 0.
-1, 1, 4, 84
Factor -5*d**2 + 73460*d - 269818580.
-5*(d - 7346)**2
Factor -m**3/7 - 275*m**2/7 - 19043*m/7 - 18769/7.
-(m + 1)*(m + 137)**2/7
Solve 45*h**3 + 258*h**2 - 72*h = 0.
-6, 0, 4/15
Let 4*n**5 + 7*n**4 - 17*n**3 - 3*n**2 + 9*n = 0. Calculate n.
-3, -3/4, 0, 1
Factor -5*v**2 + 1410*v - 1405.
-5*(v - 281)*(v - 1)
Factor 4*c**3/7 + 620*c**2/7.
4*c**2*(c + 155)/7
Factor 16*p**3 + 1020*p**2 - 256*p.
4*p*(p + 64)*(4*p - 1)
Suppose -m**3 + 10*m**2 - 29*m + 20 = 0. What is m?
1, 4, 5
Suppose 21*r**3/5 + 9234*r**2/5 - 21204*r/5 + 5304/5 = 0. Calculate r.
-442, 2/7, 2
Solve -4*p**2/3 - 264*p - 1536 = 0 for p.
-192, -6
Factor 2*i**2 + 62*i + 116.
2*(i + 2)*(i + 29)
Let 2*a**5 + 26*a**4/5 - 192*a**3/5 + 112*a**2/5 + 224*a/5 - 96/5 = 0. What is a?
-6, -1, 2/5, 2
Let 4*m**5 - 544*m**4 + 536*m**3 + 544*m**2 - 540*m = 0. Calculate m.
-1, 0, 1, 135
What is g in -3*g**5 + 57*g**4 + 189*g**3 + 195*g**2 + 66*g = 0?
-1, 0, 22
Factor 2*s**3 + 7*s**2/3 - 4*s/3 - 5/3.
(s + 1)**2*(6*s - 5)/3
Let h**5/2 + 3*h**4/2 - 9*h**3/2 + 5*h**2/2 = 0. What is h?
-5, 0, 1
Factor i**2 + 2*i + 1.
(i + 1)**2
Factor 5*k**2 + 500*k + 12500.
5*(k + 50)**2
What is z in -2*z**3/11 + 304*z**2/11 - 11552*z/11 = 0?
0, 76
Factor 114*j**2/17 - 3986*j/17 - 140/17.
2*(j - 35)*(57*j + 2)/17
Let -2*m**2/7 + 48*m/7 - 46/7 = 0. What is m?
1, 23
What is l in 2*l**2 - 1456*l + 264992 = 0?
364
Determine b, given that 9*b**4 - 93*b**3 + 162*b**2 + 72*b - 192 = 0.
-1, 4/3, 2, 8
Solve -3*x**4/4 + 123*x**3/4 - 351*x**2/4 + 345*x/4 - 57/2 = 0.
1, 38
Factor -5*y**5 - 40*y**4 - 110*y**3 - 140*y**2 - 85*y - 20.
-5*(y + 1)**4*(y + 4)
Determine f so that 10*f**4 + 35*f**3 + 10*f**2 - 15*f = 0.
-3, -1, 0, 1/2
Find z such that -2*z**3/3 - 92*z**2/3 - 30*z = 0.
-45, -1, 0
What is q in 35*q**5 + 235*q**4/2 + 105*q**3/2 - 265*q**2/2 - 175*q/2 + 15 = 0?
-2, -3/2, -1, 1/7, 1
Solve 4*v**3 + 32*v**2 + 84*v + 72 = 0 for v.
-3, -2
Factor c**4/2 - 45*c**3/4 + 201*c**2/4 + 28*c.
c*(c - 16)*(c - 7)*(2*c + 1)/4
Find o, given that -4*o**4 + 8*o**3 + 36*o**2 - 8*o - 32 = 0.
-2, -1, 1, 4
Factor 5*j**4 + 225*j**3 + 1215*j**2 + 1755*j.
5*j*(j + 3)**2*(j + 39)
Factor 2*j**3 + 158*j**2 - 160*j.
2*j*(j - 1)*(j + 80)
Determine a so that -2*a**5/3 + 4*a**4 + 6*a**3 - 28*a**2/3 = 0.
-2, 0, 1, 7
Factor 5*i**2 + 35*i - 40.
5*(i - 1)*(i + 8)
Find n such that 4*n**4 - 60*n**3 + 144*n**2 + 16*n - 192 = 0.
-1, 2, 12
Find w, given that w**4/8 + w**3/4 - 3*w**2/8 = 0.
-3, 0, 1
Determine c so that 3*c**2 - 168*c - 171 = 0.
-1, 57
Suppose -3*w**5 + 3*w**4 + 15*w**3 - 3*w**2 - 24*w - 12 = 0. What is w?
-1, 2
Find d, given that 148*d**2 + 732*d - 40 = 0.
-5, 2/37
Factor s**2/10 - 27*s/10 - 14/5.
(s - 28)*(s + 1)/10
Factor 6*j**2 - 209*j - 481.
(j - 37)*(6*j + 13)
Factor 2*o**5/9 - 1660*o**4/3 + 19900*o**3/9 - 29840*o**2/9 + 2210*o - 4972/9.
2*(o - 2486)*(o - 1)**4/9
Let 55*l**4 + 14450*l**3 + 939855*l**2 - 1215720*l + 261360 = 0. What is l?
-132, 3/11, 1
Determine z, given that -5*z**3 - 1865*z**2 + 3750*z = 0.
-375, 0, 2
Factor 3*w**2 + 13284*w + 14705388.
3*(w + 2214)**2
Solve 42436*h**3/3 - 42848*h**2/3 + 413*h/3 - 1/3 = 0 for h.
1/206, 1
Factor 2*q**3/13 + 16*q**2/13 - 2*q/13 - 16/13.
2*(q - 1)*(q + 1)*(q + 8)/13
Factor 2*q**3/9 - 56*q**2/9 + 392*q/9.
2*q*(q - 14)**2/9
Solve 150*x**2/7 + 1354*x/7 + 36/7 = 0 for x.
-9, -2/75
Let 4*t**3 + 2508*t**2 + 524172*t + 36517316 = 0. What is t?
-209
Suppose 3*c**4/5 - 162*c**3/5 + 1164*c**2/5 - 2808*c/5 + 2208/5 = 0. What is c?
2, 4, 46
Let -20*n**5 + 12*n**4 + 48*n**3 + 16*n**2 = 0. What is n?
-1, -2/5, 0, 2
Factor 2*c**2 - 30*c + 52.
2*(c - 13)*(c - 2)
Factor i**2/3 - 10*i/3 - 8.
(i - 12)*(i + 2)/3
Factor -d**4 - 49*d**3 - 169*d**2 + 489*d - 270.
-(d - 1)**2*(d + 6)*(d + 45)
Solve -5*l**5 - 15*l**4 = 0.
-3, 0
Factor j**3 + 2*j**2 - 24*j.
j*(j - 4)*(j + 6)
Factor -r**3/10 - 7*r**2/5 + 48*r/5 + 144.
-(r - 10)*(r + 12)**2/10
Find n such that 2*n**5/11 - 86*n**4/11 + 1170*n**3/11 - 4050*n**2/11 - 13500*n/11 = 0.
-2, 0, 15
Suppose -4*m**4 + 80*m**3 + 88*m**2 - 80*m - 84 = 0. Calculate m.
-1, 1, 21
What is u in -u**3 + 864*u**2 - 248832*u + 23887872 = 0?
288
Let -5*p**2 - 6330*p - 2003445 = 0. Calculate p.
-633
Find j such that -2*j**5 + 36*j**4 - 441*j**3/2 + 965*j**2/2 - 39*j/2 - 1521/2 = 0.
-1, 3, 13/2
Factor 2*h**4 + 312*h**3 + 12166*h**2 - 312*h - 12168.
2*(h - 1)*(h + 1)*(h + 78)**2
Determine w, given that 4*w**2 + 920*w + 1824 = 0.
-228, -2
Factor 3*o**4/4 + 30*o**3 + 234*o**2 - 1320*o + 1452.
3*(o - 2)**2*(o + 22)**2/4
Determine u, given that -5*u**3/6 - 725*u**2/3 - 105125*u/6 = 0.
-145, 0
Solve -5*x**4 + 10*x**3 + 20*x**2 - 10*x - 15 = 0.
-1, 1, 3
Factor i**4/7 + 5*i**3/7 + 8*i**2/7 + 4*i/7.
i*(i + 1)*(i + 2)**2/7
Determine u so that 4*u**2 - 1892*u - 3800 = 0.
-2, 475
Let -3*v**5/5 - 3*v**4 - 9*v**3/5 + 3*v**2 + 12*v/5 = 0. What is v?
-4, -1, 0, 1
Solve 2*w**5/19 + 4*w**4 - 4*w**3/19 - 8*w**2 + 2*w/19 + 4 = 0.
-38, -1, 1
Factor 4*d**2/5 - 2704*d/5.
4*d*(d - 676)/5
Factor -c**4/4 - 33*c**3/4 - 72*c**2 - 64*c.
-c*(c + 1)*(c + 16)**2/4
Factor -3*a**2 + 4632*a - 1787952.
-3*(a - 772)**2
Factor w**4/6 + 5*w**3/3 + 4*w**2 + 11*w/3 + 7/6.
(w + 1)**3*(w + 7)/6
Suppose -2*a**3 - 146*a**2 - 3542*a - 28566 = 0. Calculate a.
-27, -23
Factor -2*y**2/5 - 212*y/5 - 5618/5.
-2*(y + 53)**2/5
Factor 4*t**3 - 120*t**2 - 1036*t.
4*t*(t - 37)*(t + 7)
Factor s**5/3 + 7*s**4/3 - 10*s**3/3 - 16*s**2/3.
s**2*(s - 2)*(s + 1)*(s + 8)/3
Solve 3*d**4 - 381*d**3 + 10653*d**2 + 94269*d = 0 for d.
-7, 0, 67
What is k in -2*k**3/9 - 166*k**2/9 + 2*k/9 + 166/9 = 0?
-83, -1, 1
Suppose 20*f**4 + 268*f**3 + 104*f**2 = 0. What is f?
-13, -2/5, 0
Suppose -4*p**5 + 120*p**4 - 1056*p**3 + 968*p**2 + 15972*p = 0. What is p?
-3, 0, 11
Factor -8*c**5 - 148*c**4 + 76*c**3.
-4*c**3*(c + 19)*(2*c - 1)
What is w in 2*w**5/5 + 6*w**4/5 - 8*w**3 - 96*w**2/5 + 128*w/5 = 0?
-4, 0, 1, 4
Factor j**3/5 - 7*j**2/5 - 129*j/5 + 27.
(j - 15)*(j - 1)*(j + 9)/5
What is g in -g**5/3 - 4*g**4 - 44*g**3/3 - 14*g**2 + 15*g + 18 = 0?
-6, -3, -1, 1
Let 4*y**3/5 - 4*y**2/5 = 0. Calculate y.
0, 1
Suppose 4*m**2 + 188*m - 192 = 0. What is m?
-48, 1
Let -5*n**5/4 - 5*n**4/2 + 65*n**3/2 - 70*n**2 + 235*n/4 - 35/2 = 0. What is n?
-7, 1, 2
Factor -j**3 + 67*j**2.
-j**2*(j - 67)
Factor 5*h**2 + 805*h - 810.
5*(h - 1)*(h + 162)
Find r, given that -4*r**4 - 8*r**3 + 52*r**2 - 40*r = 0.
-5, 0, 1, 2
Factor 9*j**3/5 - 63*j**2/5 - j/5 + 7/5.
(j