2 - 2484*c + 1542564.
(c - 1242)**2
Let 4*z**2 + 1392*z + 121104 = 0. Calculate z.
-174
Factor -m**3 + 18*m**2 + 88*m.
-m*(m - 22)*(m + 4)
Factor -8*y**2/9 + 182*y/9 - 98/3.
-2*(y - 21)*(4*y - 7)/9
Suppose 3*u**2 - 3942*u + 1294947 = 0. Calculate u.
657
Determine y so that 6*y**2 + 146*y + 48 = 0.
-24, -1/3
Solve 3*t**3/4 + 261*t**2/2 = 0.
-174, 0
Find v, given that v**2/2 + 409*v/2 + 609 = 0.
-406, -3
Let -3*c**3 - 30*c**2 + 357*c = 0. Calculate c.
-17, 0, 7
Determine t, given that 3*t**2/8 - 135*t/8 + 33/2 = 0.
1, 44
Factor -19*f**2/4 - 31*f/4 + 7/2.
-(f + 2)*(19*f - 7)/4
Let 4*k**5/3 + 68*k**4/3 + 120*k**3 + 144*k**2 - 288*k = 0. What is k?
-6, 0, 1
Factor -3*z**4 - 36*z**3 - 63*z**2 - 30*z.
-3*z*(z + 1)**2*(z + 10)
Solve -d**2 - 771*d - 770 = 0 for d.
-770, -1
What is k in 2*k**2/11 + 194*k/11 - 808/11 = 0?
-101, 4
Find i, given that i**4 + 140*i**3 - 141*i**2 = 0.
-141, 0, 1
Suppose 2*s**2 - 134*s - 136 = 0. Calculate s.
-1, 68
Solve -4*u**4 + 1232*u**3/5 - 1924*u**2/5 + 232*u/5 + 96 = 0 for u.
-2/5, 1, 60
Factor -8*k**3 + 358*k**2/3 + 10*k.
-2*k*(k - 15)*(12*k + 1)/3
Let 3*k**3 + 21*k**2 - 3*k - 21 = 0. Calculate k.
-7, -1, 1
Factor 2*h**3 - 52*h**2/7 + 40*h/7 + 16/7.
2*(h - 2)**2*(7*h + 2)/7
What is s in s**5/4 - 7*s**4/2 + 49*s**3/4 = 0?
0, 7
Solve -5*u**4 - 80*u**3 - 385*u**2 - 490*u = 0.
-7, -2, 0
Factor 3*h**3 - 4074*h**2 + 12201*h - 8130.
3*(h - 1355)*(h - 2)*(h - 1)
Find y such that -21*y**4/4 - 2463*y**3/4 + 444*y**2 + 177*y = 0.
-118, -2/7, 0, 1
Suppose 2*n**5/7 - 60*n**4/7 + 86*n**3 - 2208*n**2/7 + 1664*n/7 = 0. What is n?
0, 1, 8, 13
Factor -2*z**2 - 72*z - 136.
-2*(z + 2)*(z + 34)
Factor -3*w**2/8 + 858*w - 490776.
-3*(w - 1144)**2/8
Solve -12*r**3 + 105*r**2 + 459*r + 108 = 0 for r.
-3, -1/4, 12
Factor 2*l**2 - 450*l.
2*l*(l - 225)
Factor -20*y**2 - 32*y + 16.
-4*(y + 2)*(5*y - 2)
Solve -o**5/6 + o**4/3 + 4*o**3/3 + o**2/3 - 7*o/6 - 2/3 = 0.
-1, 1, 4
Factor 2*f**2/11 - 40*f/11 + 102/11.
2*(f - 17)*(f - 3)/11
Solve -4*c**4 - 108*c**3 + 4*c**2 + 108*c = 0 for c.
-27, -1, 0, 1
Factor -3*c**3/5 - 111*c**2/5 - 201*c/5 + 63.
-3*(c - 1)*(c + 3)*(c + 35)/5
Suppose 3*g**4 - 21*g**3/2 - 45*g**2/2 = 0. What is g?
-3/2, 0, 5
What is o in -3*o**3 - 3564*o**2 - 1411344*o - 186297408 = 0?
-396
What is m in -2*m**2/11 - 2*m/11 + 112/11 = 0?
-8, 7
Let 2*p**2 - 100*p + 282 = 0. Calculate p.
3, 47
Factor 5*s**2 + 400*s - 405.
5*(s - 1)*(s + 81)
Solve 7*d**4 - 44*d**3 + 75*d**2 - 46*d + 8 = 0 for d.
2/7, 1, 4
Factor 2*a**3/7 - 24*a**2/7 + 18*a/7 + 44/7.
2*(a - 11)*(a - 2)*(a + 1)/7
Suppose -12*z**5 + 88*z**4 - 160*z**3 + 104*z**2 - 20*z = 0. What is z?
0, 1/3, 1, 5
Suppose 4802*x**5 + 11662*x**4 - 8232*x**3 + 224*x**2 + 640*x - 96 = 0. What is x?
-3, -2/7, 2/7
Let -45*r**5/7 - 183*r**4/7 - 33*r**3 - 81*r**2/7 + 24*r/7 + 12/7 = 0. Calculate r.
-2, -1, -2/5, 1/3
Factor 2*t**3/13 + 282*t**2/13 + 9798*t/13 - 10082/13.
2*(t - 1)*(t + 71)**2/13
Factor 2*r**5 - 26*r**3 + 24*r**2.
2*r**2*(r - 3)*(r - 1)*(r + 4)
Let -4*g**4/7 + 32*g**3/7 - 60*g**2/7 - 32*g/7 + 64/7 = 0. Calculate g.
-1, 1, 4
Factor -g**2/3 - 9*g - 54.
-(g + 9)*(g + 18)/3
Let -98*x**3/9 - 271208*x**2/9 + 155000*x/9 - 22144/9 = 0. What is x?
-2768, 2/7
Find z, given that 18*z**2/11 + 1634*z/11 - 364/11 = 0.
-91, 2/9
Solve 7*n**2/4 + 341*n/4 - 49/2 = 0.
-49, 2/7
Factor a**2/3 + a - 4/3.
(a - 1)*(a + 4)/3
Factor 2*j**5 - 20*j**4 + 54*j**3 - 36*j**2.
2*j**2*(j - 6)*(j - 3)*(j - 1)
Suppose -5*v**2 + 1110*v + 3375 = 0. Calculate v.
-3, 225
Let -13*a**5/5 + 11*a**4 - 51*a**3/5 + 9*a**2/5 = 0. Calculate a.
0, 3/13, 1, 3
What is w in -2*w**5/13 + 2*w**4/13 + 18*w**3/13 + 22*w**2/13 + 8*w/13 = 0?
-1, 0, 4
Suppose -4*y**3 + 48*y**2 - 84*y + 40 = 0. Calculate y.
1, 10
Factor -3*p**3 + 54*p**2 + 183*p + 126.
-3*(p - 21)*(p + 1)*(p + 2)
Factor 2*r**2 - 1350*r + 2692.
2*(r - 673)*(r - 2)
Factor -337842*s**3/5 + 4050816*s**2/5 + 39448*s/5 + 96/5.
-2*(s - 12)*(411*s + 2)**2/5
Let 2*c**4 + 10*c**3 - 20*c**2 - 40*c + 48 = 0. What is c?
-6, -2, 1, 2
Determine j so that 4*j**2 + 24*j + 36 = 0.
-3
Suppose -2*m**2/5 + 4176*m/5 = 0. Calculate m.
0, 2088
Factor -3*q**5 + 294*q**4 - 9795*q**3 + 117024*q**2 - 205824*q + 98304.
-3*(q - 32)**3*(q - 1)**2
Factor -2*m**2 - 2100*m - 551250.
-2*(m + 525)**2
Solve 4*a**3 + 16*a**2 - 48*a = 0.
-6, 0, 2
Solve -3*c**4/4 - 9*c**3/4 + 9*c**2/4 + 21*c/4 - 9/2 = 0 for c.
-3, -2, 1
Factor 5*m**4 - 190*m**3 + 1600*m**2 + 4000*m.
5*m*(m - 20)**2*(m + 2)
Find d such that -27*d**3/5 - 133*d**2/5 - 152*d/5 + 12/5 = 0.
-3, -2, 2/27
Factor 2*m**3 - 40*m**2.
2*m**2*(m - 20)
Factor -3*a**3/2 - 1869*a**2/2 - 292029*a/2 - 290163/2.
-3*(a + 1)*(a + 311)**2/2
Let -4*i**2 - 176*i - 1872 = 0. What is i?
-26, -18
Solve t**5/3 + 10*t**4 + 43*t**3 + 100*t**2/3 = 0.
-25, -4, -1, 0
Factor -5*v**3/2 - 7745*v**2/2 + 3875*v.
-5*v*(v - 1)*(v + 1550)/2
Factor -2*i**3 + 80*i**2 - 152*i.
-2*i*(i - 38)*(i - 2)
Determine z, given that -12*z**3 + 86*z**2 - 74*z = 0.
0, 1, 37/6
Factor -4*r**3 - 92*r**2 + 416*r - 432.
-4*(r - 2)**2*(r + 27)
Solve -4*f**4 + 24*f**3 - 52*f**2 + 48*f - 16 = 0 for f.
1, 2
Factor -f**5 + f**4 + 15*f**3 + 23*f**2 + 10*f.
-f*(f - 5)*(f + 1)**2*(f + 2)
Let 2*y**3/9 - 2*y**2/3 + 4*y/9 = 0. What is y?
0, 1, 2
Factor 10*u**3 - 3495*u**2 + 1740*u + 1745.
5*(u - 349)*(u - 1)*(2*u + 1)
Factor -3*q**2 + 219*q + 924.
-3*(q - 77)*(q + 4)
Factor i**2/4 + 65*i/2 + 4225/4.
(i + 65)**2/4
Find h such that 2*h**5/3 + 4*h**4 - 26*h**3 + 32*h**2/3 + 40*h = 0.
-10, -1, 0, 2, 3
Solve -2*f**4/11 - 5752*f**3/11 - 6203532*f**2/11 - 2973559672*f/11 - 534497351042/11 = 0 for f.
-719
Let -2*k**5 + 304*k**4/3 - 4808*k**3/3 + 7324*k**2 + 3738*k - 5292 = 0. What is k?
-1, 2/3, 9, 21
Determine s so that 2*s**4/7 + 22*s**3/7 + 10*s**2 + 50*s/7 = 0.
-5, -1, 0
Determine v, given that -v**2/3 - 731*v/3 - 486 = 0.
-729, -2
Factor 5*o**2 - 9325*o + 9320.
5*(o - 1864)*(o - 1)
Let 35*v**5 - 725*v**4 + 5565*v**3 - 18475*v**2 + 20500*v + 7500 = 0. What is v?
-2/7, 5, 6
Factor -h**4/2 + 985*h**3/2 - 492*h**2.
-h**2*(h - 984)*(h - 1)/2
Determine g so that -5*g**4 - 7130*g**3 - 2563145*g**2 - 15186900*g - 22684500 = 0.
-710, -3
Suppose 3*n**5/7 + 3*n**4/7 - 9*n**3 + 141*n**2/7 - 120*n/7 + 36/7 = 0. Calculate n.
-6, 1, 2
Determine r, given that 105*r**5 - 745*r**4 - 1295*r**3 + 4645*r**2 - 2950*r + 240 = 0.
-3, 2/21, 1, 8
Factor 2*u**2/15 - 8396*u/15 + 8811602/15.
2*(u - 2099)**2/15
Factor -3*k**3 - 165*k**2 + 1083*k - 915.
-3*(k - 5)*(k - 1)*(k + 61)
Solve 2*p**3/11 + 36*p**2/11 + 160*p/11 = 0 for p.
-10, -8, 0
Find w such that -2*w**2 + 1132*w - 2256 = 0.
2, 564
Factor 5*g**3 - 45*g**2 + 100*g - 60.
5*(g - 6)*(g - 2)*(g - 1)
Suppose p**4 - 7*p**3 - 9*p**2 + 7*p + 8 = 0. Calculate p.
-1, 1, 8
Solve 2645*l**5 + 15410*l**4 - 42415*l**3 - 257480*l**2 + 45700*l - 2000 = 0.
-5, 2/23, 4
Determine a so that -196*a**3 + 22456*a**2 - 12784*a + 1824 = 0.
2/7, 114
Factor 4*i**2 - 960*i - 1936.
4*(i - 242)*(i + 2)
Determine w, given that 7*w**4/3 + 22*w**3/3 + w**2 - 28*w/3 - 4/3 = 0.
-2, -1/7, 1
Let -2*s**4/3 + 4*s**3 - 6*s**2 = 0. What is s?
0, 3
Factor r**2/8 - 1/8.
(r - 1)*(r + 1)/8
Find n such that -2*n**4/3 - 4*n**3 - 6*n**2 = 0.
-3, 0
Factor -2*t**3/5 - 238*t**2/5 - 1392*t + 1440.
-2*(t - 1)*(t + 60)**2/5
Factor -3*r**4 + 51*r**3 + 207*r**2 - 459*r - 1620.
-3*(r - 20)*(r - 3)*(r + 3)**2
What is t in -t**4/2 + 75*t**3/8 - 301*t**2/8 - 60*t - 25/2 = 0?
-1, -1/4, 10
Solve -16*k**4 - 192*k**3 + 204*k**2 - 52*k = 0 for k.
-13, 0, 1/2
Factor 5*b**2/3 - 45*b + 700/3.
5*(b - 20)*(b - 7)/3
Factor 2*c**3 + 18*c**2 - 68*c - 672.
2*(c - 6)*(c + 7)*(c + 8)
Factor -j**2 + 179*j.
-j*(j - 179)
Suppose 6*m**5 - 284*m**4/5 + 928*m**3/5 - 1116*m**2/5 + 162*m/5 + 216/5 = 0. What is m?
-1/3, 4/5, 3
Factor -n**5 + 7*n**4 - 5*n**3 - 7*n**2 + 6*n.
-n*(n - 6)*(n - 1)**2*(n + 1)
Factor -2*j**4 + 88*j**3 + 2*j**2 - 88*j.
-2*j*(j - 44)*(j - 1)*(j + 1)
Factor 15*q**3 + 6070*q**2 - 8140*q - 8120.
5*(q - 2)*(q + 406)*(3*q + 2)
Determine g so that 4*g**4 + 48*g**3 - 136*g**2 - 912*g + 2340 = 0.
-13, -5, 3
Find z such that -2*z**4/15 + 106*z**3/15 + 22*z**2 + 334*z/15 + 112/15 = 0.
-1, 56
Suppose 2*d**3 + 92*d**2 + 1400*d + 7056 = 0. Calculate d.
-18, -14
What is c in -c**3/2 + 9*c**2/2 = 0?
0, 9
Factor b**3/4 + 17*b**2/4 + 22*b + 36.
(b + 4)**2*(b + 9)/4
Fa