(j + 6)/15
Let v**4/5 + 8*v**3/5 - 3*v**2/5 - 62*v/5 + 56/5 = 0. What is v?
-7, -4, 1, 2
Factor j**2 - 48*j + 287.
(j - 41)*(j - 7)
Factor -4*p**3 - 296*p**2 - 6960*p - 50400.
-4*(p + 14)*(p + 30)**2
Factor q**2/11 - 6321*q/11.
q*(q - 6321)/11
Factor 4*f**5 - 48*f**4 + 120*f**3 - 112*f**2 + 36*f.
4*f*(f - 9)*(f - 1)**3
Factor 18*d**5/5 - 96*d**4/5 + 176*d**3/5 - 128*d**2/5 + 32*d/5.
2*d*(d - 2)**2*(3*d - 2)**2/5
Factor 2*p**4/3 - 18*p**3 - 58*p**2 - 178*p/3 - 20.
2*(p - 30)*(p + 1)**3/3
Find l such that -5*l**3 + 270*l**2 + 5*l - 270 = 0.
-1, 1, 54
Solve 2*q**4 + 16*q**3 - 20*q**2 - 16*q + 18 = 0.
-9, -1, 1
Determine s so that -3*s**4 + 18*s**3 - 33*s**2 + 18*s = 0.
0, 1, 2, 3
Determine f, given that -4*f**2 + 68*f = 0.
0, 17
Determine h, given that 5*h**3/3 - 970*h**2/3 + 16000*h - 30720 = 0.
2, 96
Factor 6*y**2/5 - 18*y + 216/5.
6*(y - 12)*(y - 3)/5
Determine u, given that 2*u**2/11 + 126*u/11 + 244/11 = 0.
-61, -2
Factor 4*g**5/7 - 4*g**4/7 - 8*g**3/7 + 8*g**2/7 + 4*g/7 - 4/7.
4*(g - 1)**3*(g + 1)**2/7
Determine p, given that p**3 + 11*p**2 + 34*p + 24 = 0.
-6, -4, -1
Factor x**5/6 - 7*x**4/3 + 19*x**3/2 - 12*x**2.
x**2*(x - 8)*(x - 3)**2/6
Let -2*r**3/5 + 24*r**2/5 - 34*r/5 - 12 = 0. Calculate r.
-1, 3, 10
What is u in -u**4/3 + u**3 - u**2/3 - u + 2/3 = 0?
-1, 1, 2
Suppose -4*c**5 - 4*c**4 + 156*c**3 - 476*c**2 + 520*c - 192 = 0. Calculate c.
-8, 1, 2, 3
Factor 2*b**5 - 2*b**4 - 2*b**3 + 2*b**2.
2*b**2*(b - 1)**2*(b + 1)
Factor -3*m**2 - 30*m.
-3*m*(m + 10)
Suppose 2*i**3/5 + 30*i**2 + 432*i/5 = 0. Calculate i.
-72, -3, 0
Factor 4*c**3 + 1008*c**2 - 4*c - 1008.
4*(c - 1)*(c + 1)*(c + 252)
Determine v so that 2*v**4 + 20*v**3 + 8*v**2 - 336*v - 576 = 0.
-6, -2, 4
Find i such that -4*i**5/3 + 4*i**4/3 + 20*i**3/3 - 4*i**2/3 - 32*i/3 - 16/3 = 0.
-1, 2
Suppose -o**5/4 - o**4/4 + 2*o**3 + 3*o**2 = 0. Calculate o.
-2, 0, 3
Find g such that -20*g**4 + 48*g**3 + 84*g**2 - 160*g + 48 = 0.
-2, 2/5, 1, 3
What is s in 2*s**3/7 + 284*s**2/7 + 1600*s + 19264 = 0?
-86, -28
Factor 217*d**5 + 432*d**4 + 213*d**3 - 2*d**2.
d**2*(d + 1)**2*(217*d - 2)
Suppose -l**2 + 2*l - 1 = 0. What is l?
1
Factor 5*r**2 + 85*r - 550.
5*(r - 5)*(r + 22)
Solve 3*v**4/7 - 48*v**3/7 - 15*v**2 - 54*v/7 = 0 for v.
-1, 0, 18
Factor -50*s**4/9 + 7760*s**3/9 - 297968*s**2/9 - 80704*s/3 - 5408.
-2*(s - 78)**2*(5*s + 2)**2/9
Let -100*k**5 - 980*k**4 - 636*k**3 + 836*k**2 + 736*k + 144 = 0. Calculate k.
-9, -1, -2/5, 1
Solve -5*q**5 - 85*q**4 + 55*q**3 + 845*q**2 - 1490*q + 680 = 0.
-17, -4, 1, 2
Factor -2*q**2 - 308*q - 608.
-2*(q + 2)*(q + 152)
Factor a**3/2 - 14*a**2 + 98*a.
a*(a - 14)**2/2
Factor -4*h**5 - 32*h**4 - 80*h**3 - 64*h**2.
-4*h**2*(h + 2)**2*(h + 4)
Let -15194404*q**2 + 23388*q - 9 = 0. Calculate q.
3/3898
Determine k so that 3*k**2/2 + k/2 = 0.
-1/3, 0
Factor -4*h**2/9 - 160*h/9 - 52/3.
-4*(h + 1)*(h + 39)/9
Find d such that 6*d**4 + 200*d**3 + 438*d**2 + 124*d = 0.
-31, -2, -1/3, 0
Factor 7*a**2/2 - 47*a/2 + 20.
(a - 1)*(7*a - 40)/2
Factor -p**3/2 + 77*p**2 - 153*p/2.
-p*(p - 153)*(p - 1)/2
Factor -200*q**3/3 + 760*q**2/3 - 294*q + 108.
-2*(q - 2)*(10*q - 9)**2/3
Solve -20*c**5 - 488*c**4 + 828*c**3 - 112*c**2 - 208*c = 0.
-26, -2/5, 0, 1
Factor 2*q**4/7 + 128*q**3/7 - 396*q**2/7 + 400*q/7 - 134/7.
2*(q - 1)**3*(q + 67)/7
Suppose -3*i**2 - 1272*i + 2556 = 0. What is i?
-426, 2
Factor -4*y**4 - 32*y**3 + 44*y**2 + 72*y.
-4*y*(y - 2)*(y + 1)*(y + 9)
Find o such that -2*o**5/15 - 8*o**4/5 + 28*o**3/15 + 8*o**2/5 - 26*o/15 = 0.
-13, -1, 0, 1
Solve -5*h**2 + 60*h - 55 = 0 for h.
1, 11
Factor -5*g**2 + 3360*g - 3355.
-5*(g - 671)*(g - 1)
Suppose f**3/2 - 73*f**2 + 289*f/2 - 72 = 0. Calculate f.
1, 144
Factor -g**3 - 63*g**2 - 506*g + 1272.
-(g - 2)*(g + 12)*(g + 53)
Suppose -i**4 - 25*i**3 - 78*i**2 + 1000*i - 896 = 0. Calculate i.
-16, -14, 1, 4
Solve f**2/2 + 243*f + 59049/2 = 0.
-243
Suppose -x**4 + 9*x**3 - 6*x**2 - 16*x = 0. Calculate x.
-1, 0, 2, 8
Solve -2*h**2/5 - 58*h/5 - 276/5 = 0 for h.
-23, -6
Suppose -36*v**5 - 152*v**4 - 176*v**3 - 32*v**2 = 0. Calculate v.
-2, -2/9, 0
Find z, given that -2*z**3/5 - 28*z**2/5 - 78*z/5 + 108/5 = 0.
-9, -6, 1
Factor 7116245*d**2 - 35790*d + 45.
5*(1193*d - 3)**2
Solve -y**4 - 208*y**3 - 11021*y**2 - 21218*y = 0.
-103, -2, 0
Suppose 5*p**3/2 - 15110*p**2 + 22831210*p = 0. What is p?
0, 3022
What is l in -4*l**3 - 24*l**2 + 128 = 0?
-4, 2
Factor q**4 - q**3 - 2*q**2.
q**2*(q - 2)*(q + 1)
Factor 5*s**3 + 2710*s**2 + 364480*s - 739840.
5*(s - 2)*(s + 272)**2
Suppose -2*f**4/5 + 24*f**3 - 520*f**2 + 4800*f - 16000 = 0. Calculate f.
10, 20
Solve -3*w**4/4 + 9*w**3/4 = 0.
0, 3
Factor -b**2/4 + 111*b.
-b*(b - 444)/4
Find g such that 5*g**4 - 30*g**3 + 25*g**2 + 60*g = 0.
-1, 0, 3, 4
Determine v so that 4*v**2 + 9680*v + 5856400 = 0.
-1210
Factor 2888*p**2/7 - 2280*p/7 + 450/7.
2*(38*p - 15)**2/7
Factor -40*h**3 + 155*h**2 + 220*h + 25.
-5*(h - 5)*(h + 1)*(8*h + 1)
Factor -192*z**3 - 5328*z**2 - 49284*z - 151959.
-3*(4*z + 37)**3
Factor -108*q**3 - 332*q**2/3 - 8*q/3.
-4*q*(q + 1)*(81*q + 2)/3
Factor -z**2/9 - 29*z/9 - 26/3.
-(z + 3)*(z + 26)/9
Let 3*h**2/8 + 297*h/8 - 303/4 = 0. Calculate h.
-101, 2
Find x such that 5*x**4 + 975*x**3 - 4960*x**2 + 7980*x - 4000 = 0.
-200, 1, 2
Suppose -2*c**2/5 - 8*c - 72/5 = 0. Calculate c.
-18, -2
Let -y**2 + 21*y + 22 = 0. Calculate y.
-1, 22
Find i such that -18*i**3/11 - 428*i**2/11 - 2496*i/11 + 576/11 = 0.
-12, 2/9
Factor -c**3 - 58*c**2 - 57*c.
-c*(c + 1)*(c + 57)
Factor -2*j**3/3 - 94*j**2/9 + 32*j/9.
-2*j*(j + 16)*(3*j - 1)/9
Let 4*p**4/3 - 140*p**3 + 3744*p**2 - 10816*p/3 = 0. What is p?
0, 1, 52
Suppose 64*s**5 + 9440*s**4 - 14300*s**3 + 620*s**2 + 3580*s + 596 = 0. What is s?
-149, -1/4, 1
Find z, given that -5*z**2 - 115*z + 1240 = 0.
-31, 8
Solve -12*a**5 + 364*a**4 - 1416*a**3 + 1680*a**2 - 416*a = 0.
0, 1/3, 2, 26
Factor -4*i**4 - 4*i**3 + 16*i**2 + 16*i.
-4*i*(i - 2)*(i + 1)*(i + 2)
What is j in 4*j**5/7 - 32*j**4/7 + 16*j**3/7 + 104*j**2/7 - 148*j/7 + 8 = 0?
-2, 1, 7
Determine j so that 5*j**5 + 90*j**4 + 295*j**3 + 190*j**2 - 300*j - 280 = 0.
-14, -2, -1, 1
Determine m so that 27*m**5 - 21*m**3 + 6*m**2 = 0.
-1, 0, 1/3, 2/3
Determine f so that 4*f**2 - 2224*f + 309136 = 0.
278
What is r in -2*r**5/9 - 2*r**4/9 + 2*r**3/9 + 2*r**2/9 = 0?
-1, 0, 1
Factor 3*b**5 - 15*b**4 + 24*b**3 - 12*b**2.
3*b**2*(b - 2)**2*(b - 1)
Factor k**2/8 + k/2 - 4.
(k - 4)*(k + 8)/8
Factor -c**4 + 2*c**3 + 15*c**2 - 36*c.
-c*(c - 3)**2*(c + 4)
Suppose 4*f**2 - 64*f - 1040 = 0. Calculate f.
-10, 26
Solve 45*a**5 + 1133*a**4 - 10244*a**3 - 13476*a**2 - 1120*a + 1024 = 0.
-32, -1, -2/5, 2/9, 8
Find t, given that -2*t**4 + 14*t**3/3 + 10*t**2/3 - 38*t/3 + 20/3 = 0.
-5/3, 1, 2
Factor -2*o**3/11 + 136*o**2/11 - 2312*o/11.
-2*o*(o - 34)**2/11
Factor 52*g**2/7 - 110*g/7 + 12/7.
2*(g - 2)*(26*g - 3)/7
Determine t so that 12*t**3 - 56*t**2/3 - 32*t/3 = 0.
-4/9, 0, 2
Find j, given that 3*j**4 - 9*j**3 - 9*j**2 + 21*j + 18 = 0.
-1, 2, 3
Suppose -4*g**2/9 - 176*g/3 = 0. What is g?
-132, 0
Let 51*u**5/8 - 147*u**4/8 + 21*u**3/2 + 3*u**2/2 = 0. What is u?
-2/17, 0, 1, 2
Solve -p**3 - 6*p**2 - 12*p - 8 = 0.
-2
Factor 2*t**2/3 + 32*t.
2*t*(t + 48)/3
Factor 3*u**3/2 - 843*u**2/2 + 60465*u/2 - 173889/2.
3*(u - 139)**2*(u - 3)/2
Factor 4*u**2/3 - 1864*u + 651468.
4*(u - 699)**2/3
Suppose 4*a**4 - 76*a**3 + 320*a**2 + 400*a = 0. What is a?
-1, 0, 10
Determine i so that 2*i**2/3 - 3*i - 5/3 = 0.
-1/2, 5
Factor u**2 + 43*u + 306.
(u + 9)*(u + 34)
Find i, given that 12*i**5 - 8*i**4 - 60*i**3 + 40*i**2 + 48*i - 32 = 0.
-2, -1, 2/3, 1, 2
Suppose -2*b**3 + 32*b**2 + 34*b = 0. Calculate b.
-1, 0, 17
Let 2*d**2 + 380*d + 18050 = 0. What is d?
-95
Suppose -2*k**2/5 - 26*k/5 + 28/5 = 0. What is k?
-14, 1
Find z, given that -3*z**4/5 - 18*z**3/5 + 183*z**2/5 + 198*z/5 = 0.
-11, -1, 0, 6
Solve -4*f**3 + 27096*f**2 - 45887076*f = 0.
0, 3387
Solve 2*c**3/15 - 4*c**2/5 - 234*c/5 - 1296/5 = 0 for c.
-9, 24
Determine f, given that 4*f**3 + 92*f**2 + 684*f + 1620 = 0.
-9, -5
Factor 2*p**3/11 + 130*p**2/11 + 186*p - 198.
2*(p - 1)*(p + 33)**2/11
Factor -l**3 - 17*l**2 - 27*l + 45.
-(l - 1)*(l + 3)*(l + 15)
Suppose -2*j**3 - 864*j**2/5 - 344*j/5 = 0. Calculate j.
-86, -2/5, 0
Suppose -w**4 - 88*w**3/3 - 701*w**2/3 - 812*w/3 - 196/3 = 0. Cal