1
Factor -25*c**3 + 735*c**2 - 990*c + 280.
-5*(c - 28)*(c - 1)*(5*c - 2)
Factor 2*j**4/5 + 8*j**3/5 - 36*j**2/5 - 216*j/5 - 54.
2*(j - 5)*(j + 3)**3/5
Suppose -125*d**5 - 150*d**4 + 830*d**3 + 300*d**2 - 585*d - 270 = 0. What is d?
-3, -3/5, 1, 2
Find h such that -2*h**4/13 - 10*h**3/13 - 18*h**2/13 - 14*h/13 - 4/13 = 0.
-2, -1
Solve -2*l**4/3 + 4*l**3 + 14*l**2/3 = 0.
-1, 0, 7
What is i in -2*i**5 - 20*i**4 + 240*i**3 - 800*i**2 + 1120*i - 576 = 0?
-18, 2
Find u such that -u**5/7 - 4*u**4/7 + 2*u**3/7 + 8*u**2/7 - u/7 - 4/7 = 0.
-4, -1, 1
Factor -3*b**4/7 - 228*b**3/7 + 1476*b**2/7.
-3*b**2*(b - 6)*(b + 82)/7
Factor y**2/6 - 16*y/3 + 31/6.
(y - 31)*(y - 1)/6
What is d in d**4 + 45*d**3 + 586*d**2 + 1440*d - 5600 = 0?
-20, -7, 2
Factor -2*u**3/7 + 12*u**2/7 + 200*u/7 + 48.
-2*(u - 14)*(u + 2)*(u + 6)/7
Factor -4*x**2 - 528*x - 3024.
-4*(x + 6)*(x + 126)
Suppose -3*o**4/7 + 4*o**3/7 + 4*o**2/7 = 0. Calculate o.
-2/3, 0, 2
Factor 3*h**2 + 978*h + 79707.
3*(h + 163)**2
Factor -v**4/6 + v**3/3 + 2*v**2 + 7*v/3 + 5/6.
-(v - 5)*(v + 1)**3/6
Factor -5*r**4 - 105*r**3 - 675*r**2 - 1755*r - 1620.
-5*(r + 3)**3*(r + 12)
Factor -4*s**2/5 - 1516*s + 7584/5.
-4*(s - 1)*(s + 1896)/5
Suppose w**2/6 - 48*w + 287/6 = 0. What is w?
1, 287
Factor h**2 + 8248*h + 17007376.
(h + 4124)**2
Factor d**3 - 29*d**2 + 175*d - 147.
(d - 21)*(d - 7)*(d - 1)
Determine p so that 2*p**3/5 + 54*p**2 + 8976*p/5 - 9248/5 = 0.
-68, 1
Find a such that 28*a**5 + 7916*a**4 + 747856*a**3 + 23784256*a**2 + 16399616*a - 6644672 = 0.
-94, -1, 2/7
Let -5*k**2 + 205*k - 200 = 0. What is k?
1, 40
Find c such that -2*c**4/11 - 28*c**3/11 - 122*c**2/11 - 168*c/11 - 72/11 = 0.
-6, -1
Factor q**3/3 + 38*q**2/3 + 107*q/3 + 70/3.
(q + 1)*(q + 2)*(q + 35)/3
Factor 51*h**5 + 171*h**4 + 207*h**3 + 105*h**2 + 18*h.
3*h*(h + 1)**3*(17*h + 6)
Factor 6*h**3/11 - 4*h**2/11 - 26*h/11 - 16/11.
2*(h + 1)**2*(3*h - 8)/11
Find u, given that 20*u**5 + 2555*u**4 - 11100*u**3 + 15775*u**2 - 8570*u + 1320 = 0.
-132, 1/4, 1, 2
Factor 3*w**3 - 522*w**2 + 18612*w + 371112.
3*(w - 94)**2*(w + 14)
Factor 4*f**4 - 124*f**3 + 348*f**2 - 340*f + 112.
4*(f - 28)*(f - 1)**3
Factor -z**4 - 13*z**3 + 15*z**2 + 13*z - 14.
-(z - 1)**2*(z + 1)*(z + 14)
Solve -2*i**3/9 + 50*i/9 = 0.
-5, 0, 5
Solve -i**3/2 + 6*i**2 - 17*i/2 - 15 = 0.
-1, 3, 10
What is t in 3*t**4 - 12*t**3 - 3*t**2 + 12*t = 0?
-1, 0, 1, 4
Suppose -8*a**2/5 - 306*a/5 - 76/5 = 0. What is a?
-38, -1/4
Determine v so that -v**4 - 28*v**3 - 132*v**2 = 0.
-22, -6, 0
Solve 2*x**5 + 208*x**4 + 4034*x**3 - 70396*x**2 + 291160*x - 336400 = 0 for x.
-58, 2, 5
Factor 8*s**2/11 + 410*s/11 + 102/11.
2*(s + 51)*(4*s + 1)/11
Let 2*c**2 + 9868*c + 12172178 = 0. What is c?
-2467
Factor 5*h**4 + 1255*h**3 + 1240*h**2 - 2500*h.
5*h*(h - 1)*(h + 2)*(h + 250)
Factor -4*b**3 + 1232*b**2.
-4*b**2*(b - 308)
Determine y, given that -y**2/8 + 7*y/8 = 0.
0, 7
Factor 3*m**4 - 258*m**3 + 5787*m**2 - 9828*m - 15876.
3*(m - 42)**2*(m - 3)*(m + 1)
Factor -w**2/10 + 1549*w/10.
-w*(w - 1549)/10
Suppose -2*g**3/5 + 1258*g**2/5 - 198448*g/5 + 197192/5 = 0. What is g?
1, 314
Find i such that -3*i**3 + 105*i**2 - 381*i + 279 = 0.
1, 3, 31
Factor -4761*l**3 - 3588*l**2 - 285*l - 6.
-3*(3*l + 2)*(23*l + 1)**2
Factor b**3/8 - 7*b**2/8 - 7*b/2 - 5/2.
(b - 10)*(b + 1)*(b + 2)/8
Factor 2*f**4 - 4*f**3 - 14*f**2 - 8*f.
2*f*(f - 4)*(f + 1)**2
Factor -4*r**2 + 1720*r - 184900.
-4*(r - 215)**2
Determine h, given that 52*h**4/5 - 376*h**3/5 + 32*h**2/5 + 376*h/5 - 84/5 = 0.
-1, 3/13, 1, 7
Factor -3*h**3 - 348*h**2 - 8967*h + 66978.
-3*(h - 6)*(h + 61)**2
Solve 20*y**5 - 625*y**4 + 3155*y**3 + 27330*y**2 + 31860*y - 9720 = 0 for y.
-3, -2, 1/4, 18
Find a such that a**5 + 61*a**4/7 + 171*a**3/7 + 163*a**2/7 + 22*a/7 - 24/7 = 0.
-4, -3, -1, 2/7
Suppose -8*x**5/13 - 2*x**4/13 + 56*x**3/13 + 62*x**2/13 + 12*x/13 = 0. Calculate x.
-2, -1, -1/4, 0, 3
Factor 7*l**2/2 + 1093*l/2 - 471.
(l + 157)*(7*l - 6)/2
Factor -2*l**2/21 + 190*l/21.
-2*l*(l - 95)/21
Let 4*w**3/7 + 452*w**2/7 - 464*w/7 - 912/7 = 0. What is w?
-114, -1, 2
Solve -3*n**5 + 6*n**4 + 21*n**3 - 24*n**2 - 36*n = 0 for n.
-2, -1, 0, 2, 3
Let -h**4/5 - 6*h**3/5 + 43*h**2/5 + 12*h/5 - 36 = 0. Calculate h.
-10, -2, 3
Let -2*z**4 + 9*z**3/2 + 5*z**2 - 3*z/2 = 0. Calculate z.
-1, 0, 1/4, 3
Find k, given that -4*k**2 - 312*k - 308 = 0.
-77, -1
Solve 10658*a**2/5 + 1168*a + 160 = 0.
-20/73
Determine h so that -h**5/7 - 67*h**4/7 - 438*h**3/7 - 1100*h**2/7 - 1208*h/7 - 480/7 = 0.
-60, -2, -1
Factor 4*y**3/9 + 16*y**2/9 - 116*y/9 + 32/3.
4*(y - 3)*(y - 1)*(y + 8)/9
Find x such that -32*x**4 - 76*x**3 - 25*x**2 - 2*x = 0.
-2, -1/4, -1/8, 0
Let -4*i**3/5 + 47*i**2/5 + 126*i/5 = 0. Calculate i.
-9/4, 0, 14
Factor 61*v**3/3 - 242*v**2/3 + 175*v/3 + 2.
(v - 3)*(v - 1)*(61*v + 2)/3
Determine j so that -15138*j**2/7 + 1392*j/7 - 32/7 = 0.
4/87
Suppose -4*h**2/3 - 148*h/3 + 104 = 0. What is h?
-39, 2
Determine j, given that -j**4/4 + 3*j**3 - 11*j**2/4 = 0.
0, 1, 11
Factor -2*l**2/17 + 122*l/17 + 660/17.
-2*(l - 66)*(l + 5)/17
Suppose o**3/4 - 3*o**2 + 17*o/4 + 15/2 = 0. Calculate o.
-1, 3, 10
What is b in -2*b**4/21 - 470*b**3/21 - 1738*b**2 - 911186*b/21 + 1972156/21 = 0?
-79, 2
Find k such that 6*k**5 - 15*k**4 - 33*k**3 + 87*k**2 - 45*k = 0.
-5/2, 0, 1, 3
Find f, given that -f**3 - 236*f**2 + 475*f - 238 = 0.
-238, 1
Solve -2*i**3 + 6*i**2 + 8*i - 24 = 0 for i.
-2, 2, 3
Factor -2*n**2/19 - 360*n/19 - 16200/19.
-2*(n + 90)**2/19
Determine w, given that 22*w**4/13 + 6*w**3/13 - 126*w**2/13 + 146*w/13 - 48/13 = 0.
-3, 8/11, 1
Determine f, given that 2*f**3/11 + 18*f**2/11 + 40*f/11 + 24/11 = 0.
-6, -2, -1
Determine n, given that -2*n**5/9 - 8*n**4/3 - 4*n**3/3 + 104*n**2/9 - 22*n/3 = 0.
-11, -3, 0, 1
Determine a, given that -a**5/3 + 8*a**4/3 - 6*a**3 + 9*a = 0.
-1, 0, 3
Suppose -2*s**2 + 1348*s - 1346 = 0. Calculate s.
1, 673
Factor -2*t**3 - 126*t**2 - 246*t - 122.
-2*(t + 1)**2*(t + 61)
What is h in 2*h**2/7 + 4*h/7 - 6/7 = 0?
-3, 1
Factor -b**2 + 211*b.
-b*(b - 211)
Factor 4*s**3 - 1084*s**2 - 3280*s - 2192.
4*(s - 274)*(s + 1)*(s + 2)
Factor a**4 + 32*a**3 - 68*a**2.
a**2*(a - 2)*(a + 34)
Find v such that 4*v**2 + 48*v + 108 = 0.
-9, -3
Let -5*i**4 + 300*i**3 - 5310*i**2 + 24300*i - 32805 = 0. Calculate i.
3, 27
Find u, given that -10*u**3 - 105*u**2 - 125*u + 90 = 0.
-9, -2, 1/2
Find x, given that -4*x**5 - 564*x**4 - 1116*x**3 - 556*x**2 = 0.
-139, -1, 0
What is y in -5*y**3 - 1265*y**2 - 2515*y - 1255 = 0?
-251, -1
Let -h**5 + 4*h**4 - 3*h**3 = 0. What is h?
0, 1, 3
Suppose l**5/6 - 7*l**4/3 + 2*l**3 + 7*l**2/3 - 13*l/6 = 0. What is l?
-1, 0, 1, 13
Let -4*p**3 + 8380*p**2 - 4393212*p + 4384836 = 0. Calculate p.
1, 1047
Factor -d**4/2 - 159*d**3 + 966*d**2 - 1940*d + 1296.
-(d - 2)**3*(d + 324)/2
Factor 36*w**3 + 96*w**2 - 35*w + 3.
(w + 3)*(6*w - 1)**2
Factor l**2/3 - 4*l/3.
l*(l - 4)/3
Factor 4*s**3/7 - 144*s**2 - 2032*s/7.
4*s*(s - 254)*(s + 2)/7
Factor 4*a**4 - 12*a**3 - 24*a**2 + 32*a.
4*a*(a - 4)*(a - 1)*(a + 2)
Factor 2*x**2 - 34*x + 32.
2*(x - 16)*(x - 1)
Factor -c**2/4 + 108*c - 11664.
-(c - 216)**2/4
Find p, given that p**2/6 - p/2 = 0.
0, 3
Solve 2*w**3/5 - 8*w**2/5 + 6*w/5 = 0 for w.
0, 1, 3
Suppose -t**3 + 2*t**2 + 64*t - 128 = 0. What is t?
-8, 2, 8
Suppose -4*a**2 + 480*a - 14400 = 0. Calculate a.
60
Factor -a**4/5 + 7*a**2/5 - 6*a/5.
-a*(a - 2)*(a - 1)*(a + 3)/5
Factor -z**4 + 20*z**3 - 83*z**2 + 124*z - 60.
-(z - 15)*(z - 2)**2*(z - 1)
Factor 19*z**2 + 10*z.
z*(19*z + 10)
Suppose -g**4 - 23*g**3 - 142*g**2 - 120*g = 0. Calculate g.
-12, -10, -1, 0
What is b in -2*b**2/7 - 22*b - 300/7 = 0?
-75, -2
Let 4*b**5 - 12*b**4 - 20*b**3 + 12*b**2 + 16*b = 0. Calculate b.
-1, 0, 1, 4
Solve r**5 + 20*r**4 - 22*r**3 - 20*r**2 + 21*r = 0 for r.
-21, -1, 0, 1
Suppose g**4 - 3*g**3 - 35*g**2 + 75*g + 250 = 0. Calculate g.
-5, -2, 5
Suppose -m**3 - 3*m**2 + 4 = 0. What is m?
-2, 1
Let -3*c**2 + 18528*c - 28607232 = 0. Calculate c.
3088
Factor 2*j**3/11 + 6*j**2 + 576*j/11 + 512/11.
2*(j + 1)*(j + 16)**2/11
Let o**3/8 - 19*o**2/4 + 105*o/8 = 0. What is o?
0, 3, 35
Factor -p**4 - 11*p**3 - 9*p**2 + 11*p + 10.
-(p - 1)*(p + 1)**2*(p + 10)
Suppose 2*r**4/5 + 48*r**3/5 - 306*r**2/5 - 368*r/5 + 2784/5 = 0. What is r?
-29, -3, 4
Find v such that -4*v**4 + 232*v**3 - 