2
What is a in a**2 + 7290*a + 13286025 = 0?
-3645
Find o, given that -2*o**5/7 + 20*o**4/7 - 76*o**3/7 + 136*o**2/7 - 114*o/7 + 36/7 = 0.
1, 2, 3
Factor -o**3/7 + 5*o**2/7 + 24*o/7.
-o*(o - 8)*(o + 3)/7
Factor 4*p**2 - 20*p - 24.
4*(p - 6)*(p + 1)
Factor -g**5 + 5*g**4 - 7*g**3 - g**2 + 8*g - 4.
-(g - 2)**2*(g - 1)**2*(g + 1)
Factor c**2 - 824*c - 825.
(c - 825)*(c + 1)
Determine j, given that -j**2/2 + 14*j + 64 = 0.
-4, 32
Find v, given that -24*v**5/11 + 102*v**4/11 - 126*v**3/11 + 6*v**2/11 + 78*v/11 - 36/11 = 0.
-3/4, 1, 2
Find o such that o**4 - 3*o**3 + 2*o**2 = 0.
0, 1, 2
Solve -3*m**4 - 6*m**3 + 24*m**2 = 0.
-4, 0, 2
Factor 4*k**2 - 1644*k.
4*k*(k - 411)
Find i, given that -2*i**4/9 + 2*i**3 - 6*i**2 + 62*i/9 - 8/3 = 0.
1, 3, 4
Let 5*f**5 - 5*f**4 - 25*f**3 + 5*f**2 + 40*f + 20 = 0. What is f?
-1, 2
Determine g, given that -g**4/3 - 7*g**3/3 - g**2/3 + 21*g + 30 = 0.
-5, -3, -2, 3
Determine g so that 2*g**4 - 2*g**3 - 4*g**2 = 0.
-1, 0, 2
Find r such that -6*r**2/5 - 8*r/5 - 2/5 = 0.
-1, -1/3
Factor -20*f**3 + 72*f**2 - 28*f - 24.
-4*(f - 3)*(f - 1)*(5*f + 2)
Factor 4*z**4 + 128*z**3 + 1248*z**2 + 3584*z + 3136.
4*(z + 2)**2*(z + 14)**2
Determine x so that -3125*x**2/2 - 22750*x - 82810 = 0.
-182/25
Solve 4*s**2 + 100*s - 216 = 0 for s.
-27, 2
Solve -2*q**2/5 - 14*q/5 - 24/5 = 0 for q.
-4, -3
Let 2*o**4 - 32*o**3 + 96*o**2 = 0. Calculate o.
0, 4, 12
Find g such that -12*g**4 - 100*g**3 - 188*g**2 - 124*g - 24 = 0.
-6, -1, -1/3
Factor 2*f**2 - 458*f + 456.
2*(f - 228)*(f - 1)
Solve -u**3/8 - 11*u**2/8 + 19*u/2 - 8 = 0 for u.
-16, 1, 4
Find q, given that -4*q**2 + 2432*q - 369664 = 0.
304
Suppose 2*v**3/9 - 4*v**2/9 - 26*v/3 - 16 = 0. Calculate v.
-3, 8
Let 6*f**4 - 183*f**3 - 288*f**2 - 3*f + 96 = 0. Calculate f.
-1, 1/2, 32
Factor 3*v**2 + 51*v + 180.
3*(v + 5)*(v + 12)
What is t in -12*t**3 + 95*t**2 - 199*t + 44 = 0?
1/4, 11/3, 4
Suppose 3*o**5 - 108*o**4 + 1203*o**3 - 3138*o**2 - 10332*o - 5880 = 0. What is o?
-1, 10, 14
Factor -3*x**2 + 126*x.
-3*x*(x - 42)
Determine u so that 3*u**5 + 249*u**4 + 7629*u**3 + 103323*u**2 + 552240*u + 456300 = 0.
-26, -15, -1
Let -2*t**4/9 - 196*t**3/9 - 4600*t**2/9 + 10000*t/9 = 0. Calculate t.
-50, 0, 2
Factor -2*d**3/5 - 42*d**2/5 + 48*d/5 + 88/5.
-2*(d - 2)*(d + 1)*(d + 22)/5
Factor 8*a**4 + 30*a**3 + 34*a**2 + 12*a.
2*a*(a + 1)*(a + 2)*(4*a + 3)
Factor 15*o**3 - 9*o**2 - 36*o - 12.
3*(o - 2)*(o + 1)*(5*o + 2)
Suppose -q**3/2 - 227*q**2/8 - 185*q/4 + 825/8 = 0. Calculate q.
-55, -3, 5/4
Factor -2*t**3/9 + 44*t**2/9 + 46*t/9.
-2*t*(t - 23)*(t + 1)/9
Factor -4*r**4/9 - 472*r**3/9 + 476*r**2/9.
-4*r**2*(r - 1)*(r + 119)/9
Suppose 5*k**3/6 + 175*k**2/3 + 115*k/2 = 0. Calculate k.
-69, -1, 0
What is b in -4*b**2/3 - 88*b/3 - 160/3 = 0?
-20, -2
Solve 5*m**5/6 - 25*m**4/6 + 35*m**3/6 + 5*m**2/6 - 20*m/3 + 10/3 = 0 for m.
-1, 1, 2
Factor -33*j**2/4 + 18*j - 3.
-3*(j - 2)*(11*j - 2)/4
Factor 3*n**5/5 + 78*n**4/5.
3*n**4*(n + 26)/5
Suppose -m**2 - 52*m + 693 = 0. What is m?
-63, 11
Factor 4*o**3 + 27796*o**2 + 48274700*o - 48302500.
4*(o - 1)*(o + 3475)**2
Factor -5*c**2 - 1560*c - 121680.
-5*(c + 156)**2
Find p, given that 18*p**4 - 24*p**3 - 22*p**2 - 4*p = 0.
-1/3, 0, 2
Find m, given that 2*m**4 + 18*m**3 - 32*m**2 - 120*m = 0.
-10, -2, 0, 3
Suppose 4*d**5 - 76*d**4 + 388*d**3 - 180*d**2 - 648*d = 0. What is d?
-1, 0, 2, 9
Factor -121*s**4/6 - 3476*s**3/3 - 17464*s**2 - 70784*s/3 - 25088/3.
-(s + 28)**2*(11*s + 8)**2/6
Let 4*p**3 + 8*p**2 - 32*p = 0. Calculate p.
-4, 0, 2
Factor -4*i**2 + 88*i + 92.
-4*(i - 23)*(i + 1)
Let y**5/3 + 44*y**4/9 + 21*y**3 + 112*y**2/9 - 164*y/3 + 16 = 0. What is y?
-6, -4, 1/3, 1
Determine h, given that -3*h**2 + 48*h + 51 = 0.
-1, 17
Solve b**3/3 - 2*b**2 + 5*b/3 = 0 for b.
0, 1, 5
Factor -11*l**3/7 + 229*l**2/7 + 834*l/7 + 144/7.
-(l - 24)*(l + 3)*(11*l + 2)/7
Let 3*s**4/7 + 74*s**3/7 + 311*s**2/7 - 268*s + 84 = 0. Calculate s.
-14, 1/3, 3
Factor 5*x**4 + 9630*x**3 + 4636840*x**2 - 9630*x - 4636845.
5*(x - 1)*(x + 1)*(x + 963)**2
Factor 5*b**2 - 6475*b.
5*b*(b - 1295)
Factor -f**4/6 - f**3/2 + f**2/6 + f/2.
-f*(f - 1)*(f + 1)*(f + 3)/6
Solve g**4 + 98*g**3 + 3264*g**2 + 38912*g + 65536 = 0.
-32, -2
Factor 2*t**4/9 - 34*t**3/9 + 52*t**2/3 - 280*t/9 + 176/9.
2*(t - 11)*(t - 2)**3/9
Suppose 15*y**4/7 + 1038*y**3/7 + 17532*y**2/7 - 2130*y - 525 = 0. Calculate y.
-35, -1/5, 1
Solve -u**2 + 28*u + 165 = 0 for u.
-5, 33
Solve 50*o**3/7 - 40*o**2 - 888*o/7 - 576/7 = 0 for o.
-6/5, 8
Suppose -2*q**3/17 + 2*q**2/17 + 32*q/17 + 40/17 = 0. What is q?
-2, 5
Find c such that c**4/3 - 386*c**3/3 + 34861*c**2/3 + 153628*c + 475212 = 0.
-6, 199
Factor -2*b**2 - 222*b - 1260.
-2*(b + 6)*(b + 105)
Solve -16*r**4 - 212*r**3 - 648*r**2 - 252*r + 648 = 0 for r.
-9, -3, -2, 3/4
Determine a so that a**3/4 - 3*a**2/4 - a/4 + 3/4 = 0.
-1, 1, 3
Factor 3*v**2 + 66*v - 69.
3*(v - 1)*(v + 23)
Solve w**2/3 - 14*w + 39 = 0 for w.
3, 39
Find v such that 2*v**3/3 + 232*v**2/3 + 576*v = 0.
-108, -8, 0
What is d in 4*d**3/7 - 144*d**2 - 2028*d/7 - 1016/7 = 0?
-1, 254
Determine l, given that -2*l**3 + 123*l**2 - 61*l = 0.
0, 1/2, 61
Factor -m**2/4 + 123*m/4 + 125/2.
-(m - 125)*(m + 2)/4
Determine d, given that -d**5/8 - 7*d**4/4 - 9*d**3 - 81*d**2/4 - 135*d/8 = 0.
-5, -3, 0
Suppose m**3 - m**2 - 4*m + 4 = 0. What is m?
-2, 1, 2
Let 4*g**2 + 340*g + 336 = 0. What is g?
-84, -1
Factor -v**2 + 2968*v - 2967.
-(v - 2967)*(v - 1)
Factor -2*n**3/9 + 58*n**2/9 - 238*n/9 - 2890/9.
-2*(n - 17)**2*(n + 5)/9
Find a such that -3*a**2/4 + 2013*a/4 + 504 = 0.
-1, 672
Determine l so that -l**4 - 216*l**3 - 12290*l**2 - 67200*l - 55125 = 0.
-105, -5, -1
Solve 3*m**5 + 123*m**4 - 2037*m**3 + 3693*m**2 - 1782*m = 0.
-54, 0, 1, 11
Find h such that -4*h**4/3 - 8*h**3 + 32*h**2/3 + 8*h - 28/3 = 0.
-7, -1, 1
Factor 2*y**4/19 - 128*y**3/19 + 250*y**2/19 - 124*y/19.
2*y*(y - 62)*(y - 1)**2/19
Factor 75*h**4 - 65*h**3 - 10*h**2.
5*h**2*(h - 1)*(15*h + 2)
Determine l so that 4*l**4 + 12*l**3 - 36*l**2 - 108*l = 0.
-3, 0, 3
Factor -i**3/9 + 203*i**2/9 - 602*i/9 + 400/9.
-(i - 200)*(i - 2)*(i - 1)/9
What is b in -2*b**4 - 24*b**3 - 40*b**2 = 0?
-10, -2, 0
Suppose 2*p**2 + 156*p + 3010 = 0. What is p?
-43, -35
Find a such that 4*a**5 + 67*a**4 + 303*a**3 + 176*a**2 - 64*a = 0.
-8, -1, 0, 1/4
Factor l**4/2 + 38*l**3 + 887*l**2 + 6270*l + 27225/2.
(l + 5)**2*(l + 33)**2/2
Factor y**2/7 + 2*y - 120/7.
(y - 6)*(y + 20)/7
Find a, given that -5*a**2 - 180*a + 380 = 0.
-38, 2
Factor -2*g**2 + 556*g - 554.
-2*(g - 277)*(g - 1)
Find h such that h**4/2 - 47*h**3 + 93*h**2/2 = 0.
0, 1, 93
Determine m, given that 5*m**3 - 100*m**2 + 340*m - 320 = 0.
2, 16
Let -x**5 + 87*x**4 - 413*x**3 + 237*x**2 + 738*x = 0. What is x?
-1, 0, 3, 82
Let -g**2 - 191*g + 386 = 0. Calculate g.
-193, 2
Solve -2*m**4/17 - 144*m**3/17 - 278*m**2/17 + 144*m/17 + 280/17 = 0 for m.
-70, -2, -1, 1
Let -12*k**4 - 17968*k**3 - 8970024*k**2 - 1494006000*k - 497005996 = 0. What is k?
-499, -1/3
Suppose -5*z**4 + z**3 + 9*z**2 - z - 4 = 0. Calculate z.
-1, -4/5, 1
Let s**5 - 75*s**4 + 1442*s**3 - 1294*s**2 - 1443*s + 1369 = 0. Calculate s.
-1, 1, 37
Find y such that 3*y**5 - 84*y**4 + 810*y**3 - 2916*y**2 + 2187*y = 0.
0, 1, 9
Suppose -5*d**2 + 283*d + 114 = 0. Calculate d.
-2/5, 57
Factor 4*x**4 - 100*x**3 + 672*x**2 - 576*x.
4*x*(x - 12)**2*(x - 1)
Find y such that 2*y**2 - 21732*y + 59034978 = 0.
5433
Factor -b**5 + 26*b**4 + 114*b**3 + 176*b**2 + 119*b + 30.
-(b - 30)*(b + 1)**4
Determine p, given that p**2/8 - 47*p/4 + 2209/8 = 0.
47
Factor -2*z**3/9 + 22*z**2/3.
-2*z**2*(z - 33)/9
Suppose -18*x**5 - 33*x**4 + 132*x**3 + 339*x**2 + 156*x - 36 = 0. Calculate x.
-2, -1, 1/6, 3
Factor 11552*x**2 - 2736*x + 162.
2*(76*x - 9)**2
Solve -192*v**2 - 240*v - 75 = 0 for v.
-5/8
Factor 25*b**3 + 885*b**2 - 5985*b + 9315.
5*(b - 3)**2*(5*b + 207)
Factor m**4/6 - 4*m**2 - 32*m/3 - 8.
(m - 6)*(m + 2)**3/6
Determine h, given that -4*h**4/5 + 119*h**3 - 22919*h**2/5 + 58181*h/5 + 15987/5 = 0.
-1/4, 3, 73
Factor w**3 + 40*w**2 + 379*w - 420.
(w - 1)*(w + 20)*(w + 21)
Factor 35*x**4/4 - 55*x**3 + 15*x**2.
5*x**2*(x - 6)*(7*x - 2)/4
Suppose -2*x**3/7 - 22*x**2/7 - 36*x/7 = 0. Calculate x.
-9, -2, 0
What is h in h**5/2 + 2*h**4 + 5*h**3/2 + h**2 = 0?
-2, -1, 0
Factor 3*p**4/7 - 3*p**3/7 