82*v - 232.
2*(v - 4)*(v + 1)*(v + 29)
Factor -243*v**3 + 1440*v**2 + 323*v/3 + 2.
-(v - 6)*(27*v + 1)**2/3
Factor -2*w**3 - 46*w**2/3 - 26*w/3 + 14/3.
-2*(w + 1)*(w + 7)*(3*w - 1)/3
What is h in 32*h**5 + 28764*h**4 + 8607604*h**3 + 854283600*h**2 - 970920000*h + 108000000 = 0?
-300, 1/8, 1
Factor -11*p**4/3 - 2*p**3/3.
-p**3*(11*p + 2)/3
What is i in -i**2 + 59*i - 58 = 0?
1, 58
Let s**4 + 27*s**3 + 243*s**2 + 729*s = 0. Calculate s.
-9, 0
Factor -f**4/11 + 69*f**3/11 - 105*f**2 - 1225*f/11.
-f*(f - 35)**2*(f + 1)/11
Factor -2*g**2/13 - 4*g/13.
-2*g*(g + 2)/13
Factor 2*c**2/7 - 44*c/7 - 48.
2*(c - 28)*(c + 6)/7
Determine h, given that 7*h**5/5 - 20*h**4 - 77*h**3/5 + 6*h**2 = 0.
-1, 0, 2/7, 15
Determine n, given that -4*n**4 + 32*n**3 - 84*n**2 + 88*n - 32 = 0.
1, 2, 4
Factor -4*d**4/3 + 397*d**3/3 - 33*d**2.
-d**2*(d - 99)*(4*d - 1)/3
Solve -9*w**5 - 3*w**4 + 69*w**3 - 33*w**2 - 60*w + 36 = 0 for w.
-3, -1, 2/3, 1, 2
Solve 3*g**5 - 15*g**4 - 27*g**3 + 231*g**2 - 336*g + 144 = 0.
-4, 1, 3, 4
Factor -2*z**4/3 + 4*z**3/3 + 38*z**2/3 - 40*z/3.
-2*z*(z - 5)*(z - 1)*(z + 4)/3
Find l such that -l**5 - 3*l**4 + 11*l**3 + 3*l**2 - 10*l = 0.
-5, -1, 0, 1, 2
Determine z, given that -2*z**3/3 - 796*z**2/3 = 0.
-398, 0
Let -y**4/3 - y**3 + 2*y**2/3 + 4*y + 8/3 = 0. What is y?
-2, -1, 2
Factor 5*d**5 - 120*d**4 + 970*d**3 - 2880*d**2 + 2025*d.
5*d*(d - 9)**2*(d - 5)*(d - 1)
Solve 2*d**2/19 - 2*d/19 - 4/19 = 0 for d.
-1, 2
Find c such that c**3 + 9*c**2/2 + 5*c + 3/2 = 0.
-3, -1, -1/2
Factor -4*n**5 - 4*n**4 + 24*n**3 + 56*n**2 + 44*n + 12.
-4*(n - 3)*(n + 1)**4
What is m in 5*m**2/6 + 655*m/6 + 325/3 = 0?
-130, -1
What is l in 25*l**3 - 9660*l**2 + 3860*l = 0?
0, 2/5, 386
Determine c so that c**4 + 9*c**3 - 468*c**2 + 1732*c - 1680 = 0.
-28, 2, 15
Let 2*s**4/7 + 522*s**3/7 + 722*s**2 + 8550*s/7 + 4016/7 = 0. What is s?
-251, -8, -1
Determine z, given that -4*z**2 + 296*z + 1920 = 0.
-6, 80
Solve v**2 + 2*v + 1 = 0.
-1
Factor 3*g**2/2 + 87*g/4 + 117/4.
3*(g + 13)*(2*g + 3)/4
Solve l**3 - 32*l**2 + 209*l + 242 = 0.
-1, 11, 22
Determine q, given that 15*q**4 - 85*q**3 + 170*q**2 - 140*q + 40 = 0.
2/3, 1, 2
Factor -2*u**2/9 - 2*u/9 + 4/3.
-2*(u - 2)*(u + 3)/9
Factor 2*a**5/9 - 4*a**4/9 - 2*a**3/3.
2*a**3*(a - 3)*(a + 1)/9
Let -4*a**4 + 588*a**3 - 6140*a**2 + 21396*a - 24480 = 0. Calculate a.
3, 5, 136
Factor 4*t**3 + 28*t**2 - 644*t + 612.
4*(t - 9)*(t - 1)*(t + 17)
Factor 4*o**3/9 - 182*o**2/9 + 10*o.
2*o*(o - 45)*(2*o - 1)/9
Suppose -s**5/3 - 3*s**4 - 6*s**3 + 18*s**2 + 81*s + 81 = 0. What is s?
-3, 3
Let -4*q**5 - 20*q**4 + 12*q**3 + 164*q**2 + 232*q + 96 = 0. Calculate q.
-4, -2, -1, 3
Determine k so that -2*k**3/7 + 26*k**2/7 + 94*k + 378 = 0.
-7, 27
Find d such that -d**2/3 - 2*d/3 + 16 = 0.
-8, 6
Factor 3*t**4 - 63*t**2 + 60*t.
3*t*(t - 4)*(t - 1)*(t + 5)
Determine o, given that -2*o**3/17 - 1068*o**2/17 - 146754*o/17 - 1106704/17 = 0.
-263, -8
Factor -3*i**3 + 36*i**2 - 63*i + 30.
-3*(i - 10)*(i - 1)**2
Determine l so that l**2/6 + 37*l/6 - 13 = 0.
-39, 2
Let -5*l**4 + 60*l**3 - 105*l**2 + 50*l = 0. What is l?
0, 1, 10
Let 42*k**3 + 495*k**2/2 + 351*k/2 - 60 = 0. Calculate k.
-5, -8/7, 1/4
Determine m, given that m**3/3 + 13*m**2/3 - 10*m = 0.
-15, 0, 2
Determine m so that m**4/11 - 14*m**3/11 + 9*m**2/11 + 56*m/11 - 52/11 = 0.
-2, 1, 2, 13
Suppose 2434*p**2/3 - 812*p + 2/3 = 0. Calculate p.
1/1217, 1
What is x in -54*x**5/13 - 402*x**4/13 - 628*x**3/13 + 448*x**2/13 - 64*x/13 = 0?
-4, 0, 2/9, 1/3
Let -1257698*f**2/11 + 38064*f/11 - 288/11 = 0. What is f?
12/793
Factor -2*t**4/9 - 2*t**3/3 + 26*t**2/9 + 10*t/3.
-2*t*(t - 3)*(t + 1)*(t + 5)/9
Determine m, given that -3*m**4 - 165*m**3 - 624*m**2 - 612*m = 0.
-51, -2, 0
Factor 2*b**2 + 48*b + 88.
2*(b + 2)*(b + 22)
Factor -3*v**2/2 - 6741*v - 15147027/2.
-3*(v + 2247)**2/2
Factor 5*h**2 - 995*h + 990.
5*(h - 198)*(h - 1)
Factor -y**3/5 - 23*y**2/5 - 91*y/5 + 507/5.
-(y - 3)*(y + 13)**2/5
Factor 6*d**4 + 16*d**3 + 6*d**2 - 4*d.
2*d*(d + 1)*(d + 2)*(3*d - 1)
Find d, given that -5*d**5/2 + 5*d**4 - 5*d**3/2 = 0.
0, 1
Solve r**2/5 - 44*r/5 - 9 = 0 for r.
-1, 45
Solve -169*o**4 - 4446*o**3 - 9468*o**2 - 2600*o - 192 = 0 for o.
-24, -2, -2/13
Factor -15*m**2 - 80*m.
-5*m*(3*m + 16)
Suppose -10*y**4 + 126*y**3 + 62*y**2 - 126*y - 52 = 0. What is y?
-1, -2/5, 1, 13
Let -h**5/3 + 2*h**4/3 + 3*h**3 - 14*h**2/3 - 20*h/3 + 8 = 0. Calculate h.
-2, 1, 2, 3
Suppose -v**2 + 253*v = 0. What is v?
0, 253
Factor 3*y**4 + 18*y**3 + 9*y**2 - 30*y.
3*y*(y - 1)*(y + 2)*(y + 5)
Factor -6*r**2/11 + 174*r/11 - 600/11.
-6*(r - 25)*(r - 4)/11
Factor -4*b**2/3 + 76*b/3 + 80/3.
-4*(b - 20)*(b + 1)/3
Factor -3*x**4 + 123*x**3 + 129*x**2 - 123*x - 126.
-3*(x - 42)*(x - 1)*(x + 1)**2
Suppose 5*x**2 - 340*x + 5780 = 0. Calculate x.
34
Let -q**5 - 34*q**4 + 8*q**3 + 272*q**2 - 16*q - 544 = 0. What is q?
-34, -2, 2
Find k such that k**2/12 - 3*k/2 = 0.
0, 18
Factor -3*r**3/7 + 12*r/7.
-3*r*(r - 2)*(r + 2)/7
Determine c, given that -3*c**2 + 330*c - 9075 = 0.
55
Factor -2*q**3/11 + 214*q**2/11 + 434*q/11 + 218/11.
-2*(q - 109)*(q + 1)**2/11
Find f such that -f**2/2 - 3*f/2 - 1 = 0.
-2, -1
What is o in 2*o**3/5 - 2*o**2/5 - 2*o/5 + 2/5 = 0?
-1, 1
Let -8*o**5 - 50*o**4 - 66*o**3 + 140*o**2 + 392*o + 240 = 0. What is o?
-3, -2, -5/4, 2
Solve i**5/4 - 73*i**4/2 + 5329*i**3/4 = 0 for i.
0, 73
Determine b so that -b**4 - 64*b**3 - 517*b**2 + 1230*b - 648 = 0.
-54, -12, 1
What is j in 2*j**4/7 - 38*j**3/7 + 198*j**2/7 - 162*j/7 = 0?
0, 1, 9
Factor 8*n**4 - 278*n**3 + 786*n**2 - 770*n + 254.
2*(n - 1)**3*(4*n - 127)
Factor 5*q**2 + 1760*q - 1765.
5*(q - 1)*(q + 353)
Find g, given that -2*g**3/7 + 32*g**2/7 + 470*g/7 + 1300/7 = 0.
-5, 26
Factor -2*n**2/9 + 3856*n/9 - 1858592/9.
-2*(n - 964)**2/9
Find m such that -2*m**4 + 6*m**3 + 36*m**2 - 80*m = 0.
-4, 0, 2, 5
Solve -31*p**2/4 + 29*p/4 + 1/2 = 0 for p.
-2/31, 1
Factor -p**4/3 + 17*p**3/3 - 79*p**2/3 + 21*p.
-p*(p - 9)*(p - 7)*(p - 1)/3
Find p such that -18*p**3 - 123*p**2 - 159*p + 30 = 0.
-5, -2, 1/6
Suppose -j**5 - 2*j**4 + 7*j**3 + 20*j**2 + 12*j = 0. What is j?
-2, -1, 0, 3
Factor 4*z**2 + 28*z - 32.
4*(z - 1)*(z + 8)
Suppose 2*m**3 - 38*m**2 - 184*m = 0. What is m?
-4, 0, 23
Determine j, given that 2*j**2 - 38*j + 68 = 0.
2, 17
Find t such that 3*t**4/2 + 33*t**3/2 + 48*t**2 + 42*t = 0.
-7, -2, 0
Factor 2*m**2/9 + 20*m/9 + 50/9.
2*(m + 5)**2/9
Factor w**2 + 160*w + 159.
(w + 1)*(w + 159)
What is x in -2*x**5/11 - 24*x**4/11 - 90*x**3/11 - 108*x**2/11 = 0?
-6, -3, 0
Determine r so that 3*r**3 + 447*r**2 - 1824*r + 1836 = 0.
-153, 2
Factor 5*k**5 - 20*k**4 - 175*k**3 + 750*k**2.
5*k**2*(k - 5)**2*(k + 6)
What is c in 27*c**3 - 2154*c**2 - 480*c = 0?
-2/9, 0, 80
Let -5*p**4 + 105*p**3 - 570*p**2 - 100*p + 3000 = 0. Calculate p.
-2, 3, 10
Solve -28*c**4 - 3060*c**3 - 85544*c**2 - 105840*c - 23328 = 0 for c.
-54, -1, -2/7
Suppose -a**5/3 + 5*a**4 - 9*a**3 + 13*a**2/3 = 0. What is a?
0, 1, 13
Let -2*q**5/7 - 2*q**4 - 6*q**3/7 + 46*q**2/7 + 64*q/7 + 24/7 = 0. What is q?
-6, -1, 2
Determine o, given that 45*o**4 + 145*o**3 + 120*o**2 + 20*o = 0.
-2, -1, -2/9, 0
What is q in -2*q**4 - 250*q**3 + 3518*q**2 - 9758*q - 13524 = 0?
-138, -1, 7
Factor r**3/4 + 7*r**2/2 + 35*r/4 - 25/2.
(r - 1)*(r + 5)*(r + 10)/4
Factor 3*c**3 - 96*c**2 + 768*c.
3*c*(c - 16)**2
Determine m, given that 18*m**5/13 - 24*m**4/13 - 16*m**3 + 576*m**2/13 - 480*m/13 + 128/13 = 0.
-4, 2/3, 2
Factor -3*y**2 - 39*y.
-3*y*(y + 13)
What is t in 6*t**3/5 + 508*t**2/5 - 34*t = 0?
-85, 0, 1/3
Solve 2*n**3 - 184*n**2 + 1190*n = 0.
0, 7, 85
Solve g**2/8 + g/2 = 0 for g.
-4, 0
Solve -3*w**2/8 - 207*w/4 - 14283/8 = 0 for w.
-69
Suppose 5*a**2 + 2065*a + 4110 = 0. Calculate a.
-411, -2
Let -2*n**2/23 + 10*n/23 - 12/23 = 0. What is n?
2, 3
Determine m, given that -15*m**3/7 - 123*m**2/7 - 204*m/7 - 36/7 = 0.
-6, -2, -1/5
Find h such that h**2/2 - 62*h + 1922 = 0.
62
Factor -3*x**4 - 3*x**3 + 15*x**2 - 9*x.
-3*x*(x - 1)**2*(x + 3)
Factor 2*j**2/3 + 158*j/3.
2*j*(j + 79)/3
What is f in -21*f**4/2 + 31*f**3 + 3*f**2/2 = 0?
-1/21, 0, 3
Factor v**3/3 - 28*v**2/3 + 9*v.
v*(v - 27)*(v - 1)/3
Suppose o**5/5 - 3*o**4/5 - 33*o**3/5 + 7*o**2 = 0. What is o?
-5, 0, 1, 7
Find x such that 2*x**2 - 482*x + 956 = 0.
2, 239
Find t such that -t**5 + 8*t**3