tor -i**3/4 - 205*i**2/4 - 10403*i/4 + 10609/4.
-(i - 1)*(i + 103)**2/4
Factor 4*o**3 + 480*o**2 + 19200*o + 256000.
4*(o + 40)**3
Factor 5*f**3 - 830*f**2 - 4305*f + 5130.
5*(f - 171)*(f - 1)*(f + 6)
What is m in -m**2/4 + 15*m/4 + 17/2 = 0?
-2, 17
Find j, given that -80*j**3/3 - 680*j**2/3 + 355*j/3 - 15 = 0.
-9, 1/4
What is v in -2*v**4/7 - 2*v**3 - 32*v**2/7 - 24*v/7 = 0?
-3, -2, 0
Factor m**3/12 + 7*m**2/12 + m/2.
m*(m + 1)*(m + 6)/12
Determine o, given that o**5 - 8*o**4 + 18*o**3 - 4*o**2 - 19*o + 12 = 0.
-1, 1, 3, 4
Find c, given that 4*c**2 - 48*c - 880 = 0.
-10, 22
Let v**4/8 - 9*v**3/4 - 19*v**2/8 = 0. Calculate v.
-1, 0, 19
Factor m**5 + 12*m**4 + 53*m**3 + 110*m**2 + 108*m + 40.
(m + 1)*(m + 2)**3*(m + 5)
Suppose -3*i**2 - 3114*i - 808083 = 0. Calculate i.
-519
Factor -4*i**2 + 108*i + 6496.
-4*(i - 56)*(i + 29)
Factor q**3/5 + 247*q**2/5.
q**2*(q + 247)/5
Let 2*p**2/9 + 140*p/3 + 272 = 0. What is p?
-204, -6
Factor -3*f**3/4 - 3*f**2 + 21*f/4 + 15/2.
-3*(f - 2)*(f + 1)*(f + 5)/4
Factor 4*u**4 - 208*u**3 + 3456*u**2 - 15552*u - 46656.
4*(u - 18)**3*(u + 2)
Let -12*t**5/5 - 165*t**4 - 4437*t**3/5 - 5691*t**2/5 - 1311*t/5 + 756/5 = 0. What is t?
-63, -4, -1, 1/4
What is l in -l**3/6 - 5371*l**2/6 - 2404865*l/2 - 2403075/2 = 0?
-2685, -1
Solve -x**3/3 - 44*x**2/3 - 183*x - 702 = 0 for x.
-26, -9
What is l in l**2/3 - 49*l/3 + 46 = 0?
3, 46
Solve 2*q**3/9 + 4*q**2 + 58*q/3 + 140/9 = 0 for q.
-10, -7, -1
Find c such that 5*c**3 + 85*c**2 - 20*c - 340 = 0.
-17, -2, 2
Factor d**3/3 - 83*d**2/3 + 80*d.
d*(d - 80)*(d - 3)/3
Let -5*v**3/3 + 70*v**2/3 - 305*v/3 + 140 = 0. Calculate v.
3, 4, 7
Suppose 2*z**4/3 + 172*z**3/21 - 54*z**2/7 - 424*z/21 - 104/21 = 0. What is z?
-13, -1, -2/7, 2
Factor -4*f**2 + 696*f - 30276.
-4*(f - 87)**2
Factor 2*g**2/5 - 88*g/5 - 282/5.
2*(g - 47)*(g + 3)/5
Factor 3*c**4 + 171*c**3 + 2520*c**2 + 2352*c.
3*c*(c + 1)*(c + 28)**2
Factor -2*l**2/5 - 462*l/5.
-2*l*(l + 231)/5
Solve -2*d**2/5 + 2604*d/5 - 847602/5 = 0 for d.
651
Let -k**4 - 42*k**3 + 248*k**2 + 618*k + 329 = 0. What is k?
-47, -1, 7
Factor 2*b**2/3 + 46*b - 140/3.
2*(b - 1)*(b + 70)/3
Factor -3*o**2/2 + 3*o + 9/2.
-3*(o - 3)*(o + 1)/2
Solve 2*w**4/9 + 28*w**3/9 - 62*w**2/9 + 32*w/9 = 0 for w.
-16, 0, 1
Suppose 15*m**4/8 - 9*m**3/2 + 3*m**2/2 = 0. What is m?
0, 2/5, 2
Factor -q**2 + 1050*q - 275625.
-(q - 525)**2
Let -5*f**5 - 60*f**4 - 270*f**3 - 560*f**2 - 525*f - 180 = 0. Calculate f.
-4, -3, -1
Suppose -k**2/2 - 510*k + 1021/2 = 0. What is k?
-1021, 1
Factor q**3/8 - 191*q**2/4 + 761*q/8 - 95/2.
(q - 380)*(q - 1)**2/8
Determine v so that -2*v**2/15 + 12*v/5 + 16/3 = 0.
-2, 20
Determine w so that 2*w**4/5 + 6*w**3 + 158*w**2/5 + 66*w + 40 = 0.
-5, -4, -1
Let 9*u**4 + 5385*u**3 + 12532*u**2 + 9540*u + 2384 = 0. Calculate u.
-596, -1, -2/3
Let 112*g**3 - 22236*g**2 + 11888*g - 1584 = 0. What is g?
1/4, 2/7, 198
Factor -r**3/2 - r**2 + 19*r/2 + 10.
-(r - 4)*(r + 1)*(r + 5)/2
Find b such that -844*b**2/3 - 836*b/3 + 8/3 = 0.
-1, 2/211
Suppose -5*v**4/6 + 17*v**3/6 + 13*v**2/2 + 7*v/6 - 5/3 = 0. Calculate v.
-1, 2/5, 5
Factor i**2.
i**2
Suppose 9*j**2/4 - 49*j/2 = 0. Calculate j.
0, 98/9
Solve 3*m**2 + 414*m - 1269 = 0.
-141, 3
Determine r so that 64*r**3 + 500*r**2 + 672*r - 144 = 0.
-6, -2, 3/16
Factor q**3 - 174*q**2 + 7905*q - 28900.
(q - 85)**2*(q - 4)
Factor t**2/2 - 2133*t + 4549689/2.
(t - 2133)**2/2
Solve -4*s**3 + 208*s**2 - 2704*s = 0.
0, 26
Suppose -h**2 + 15*h - 50 = 0. What is h?
5, 10
Solve 2*a**2 + 48*a + 46 = 0 for a.
-23, -1
What is r in 5*r**4 + 165*r**3 - 530*r**2 + 360*r = 0?
-36, 0, 1, 2
Factor -q**3/4 + 17*q**2/4 - 4*q.
-q*(q - 16)*(q - 1)/4
Factor -2*d**2/5 + 96*d - 5760.
-2*(d - 120)**2/5
Find v, given that v**4 + 22*v**3 - 47*v**2 + 24*v = 0.
-24, 0, 1
Solve -16*q**4/11 + 106*q**3/11 - 162*q**2/11 - 76*q/11 + 208/11 = 0 for q.
-1, 13/8, 2, 4
Determine i, given that -105*i**5 - 1150*i**4 - 3540*i**3 - 2600*i**2 - 480*i = 0.
-6, -4, -2/3, -2/7, 0
Suppose 4*l**4 - 376*l**3 + 9200*l**2 - 16928*l = 0. Calculate l.
0, 2, 46
Factor -5*n**3 + 200*n**2 + 415*n + 210.
-5*(n - 42)*(n + 1)**2
Factor y**3 - 40*y**2 - 43*y + 82.
(y - 41)*(y - 1)*(y + 2)
Let -2*t**2/7 + 16*t + 232/7 = 0. What is t?
-2, 58
Solve 4*s**3 - 408*s**2 + 12144*s - 84640 = 0 for s.
10, 46
Let 2*v**2/3 - 416*v/3 + 21632/3 = 0. Calculate v.
104
Find g, given that g**5/4 - 23*g**4/4 + 28*g**3 + 54*g**2 - 324*g - 540 = 0.
-2, 6, 15
Factor -a**4/6 + 41*a**3/3 - 378*a**2 + 3645*a - 6561/2.
-(a - 27)**3*(a - 1)/6
Factor 76*a**3 + 156*a**2 + 84*a + 4.
4*(a + 1)**2*(19*a + 1)
Suppose -128*k**2/17 + 96*k/17 - 18/17 = 0. Calculate k.
3/8
Let b**3/8 + 2*b**2 + 21*b/2 + 18 = 0. Calculate b.
-6, -4
Factor -2*c**2/17 + 104*c/17.
-2*c*(c - 52)/17
Let -48*l**4 + 148*l**3 + 88*l**2 - 148*l - 40 = 0. Calculate l.
-1, -1/4, 1, 10/3
Factor -5*t**4 - 5710*t**3 - 2177400*t**2 - 278692000*t - 548720000.
-5*(t + 2)*(t + 380)**3
Factor -4*j**3 + 44*j**2 - 128*j + 112.
-4*(j - 7)*(j - 2)**2
Let -c**2/3 - 35*c/3 - 124/3 = 0. Calculate c.
-31, -4
Find o such that -3*o**3/5 + 45*o + 150 = 0.
-5, 10
Let -4*o**2 + 10632*o + 10636 = 0. Calculate o.
-1, 2659
Suppose -2*u**2/5 - 4016*u - 10080160 = 0. Calculate u.
-5020
Determine i, given that 87*i**2/7 - 474*i + 456/7 = 0.
4/29, 38
Factor 5*l**3 - 55*l**2 + 170*l - 120.
5*(l - 6)*(l - 4)*(l - 1)
Factor -2*a**3 + 3102*a**2 - 3100*a.
-2*a*(a - 1550)*(a - 1)
What is h in 2*h**2 - 16*h = 0?
0, 8
Find x, given that -80*x**4 + 280*x**3 - 85*x**2 - 100*x - 15 = 0.
-1/4, 1, 3
Determine x so that -2*x**4/9 + 80*x**3/9 - 50*x**2/3 - 80*x/9 + 152/9 = 0.
-1, 1, 2, 38
Factor -2*z**2/11 + 882/11.
-2*(z - 21)*(z + 21)/11
Factor 2*d**4/5 - 154*d**3/5 - 164*d**2.
2*d**2*(d - 82)*(d + 5)/5
Factor -2*c**4 - 8*c**3 - 2*c**2 + 12*c.
-2*c*(c - 1)*(c + 2)*(c + 3)
Determine m so that m**2 + 1144*m + 327184 = 0.
-572
Factor h**3/3 - 19*h**2/3 - 200*h/3 - 144.
(h - 27)*(h + 4)**2/3
Factor 2*f**2/13 + 20*f/13 + 50/13.
2*(f + 5)**2/13
What is k in -k**2 + 118*k - 117 = 0?
1, 117
Factor -c**2 + 180*c.
-c*(c - 180)
Solve 3*q**2/7 - 27*q = 0.
0, 63
Find h such that -2*h**4 + 134*h**3 - 3036*h**2 + 24200*h - 21296 = 0.
1, 22
Determine s so that s**2/3 + 11*s/3 + 6 = 0.
-9, -2
Solve -5*v**3 + 3255*v**2 + 13085*v + 9825 = 0.
-3, -1, 655
Determine a, given that 5*a**5 - 40*a**4 + 20*a**3 + 130*a**2 - 185*a + 70 = 0.
-2, 1, 7
Factor 2*v**3/11 + 62*v**2/11 + 310*v/11 + 250/11.
2*(v + 1)*(v + 5)*(v + 25)/11
Let t**5 + 19*t**4/2 + 27*t**3 + 16*t**2 - 16*t = 0. What is t?
-4, -2, 0, 1/2
Factor m**2/2 - 1503*m + 2259009/2.
(m - 1503)**2/2
Suppose -25*n**5 - 35*n**4 + 90*n**3 + 140*n**2 + 40*n = 0. What is n?
-2, -1, -2/5, 0, 2
Factor -t**2/4 - 1155*t/2 - 2309/4.
-(t + 1)*(t + 2309)/4
Factor -v**3 + 72*v**2 - 141*v + 70.
-(v - 70)*(v - 1)**2
Find f such that f**2 - 126*f + 3969 = 0.
63
Factor -4*l**3 - 288*l**2 - 6912*l - 55296.
-4*(l + 24)**3
Factor v**4/3 + 10*v**3 + 75*v**2.
v**2*(v + 15)**2/3
Solve n**5/5 + 7*n**4/5 + 11*n**3/5 - 7*n**2/5 - 12*n/5 = 0.
-4, -3, -1, 0, 1
Solve -2*f**4/13 + 8*f**3/13 + 8*f**2/13 - 32*f/13 = 0 for f.
-2, 0, 2, 4
Factor 2*v**3 + 82*v**2 + 302*v + 222.
2*(v + 1)*(v + 3)*(v + 37)
Suppose -2*m**5/13 + 64*m**4/13 - 444*m**3/13 - 1088*m**2/13 - 578*m/13 = 0. What is m?
-1, 0, 17
Suppose 5*i**2 - 220*i = 0. Calculate i.
0, 44
Factor 10*x**2 - 816*x - 328.
2*(x - 82)*(5*x + 2)
Determine w so that 9*w**5 - 69*w**4 - 258*w**3 + 1434*w**2 + 4473*w + 1323 = 0.
-3, -1/3, 7
Let -4*p**4/9 - 16*p**3/9 + 28*p**2/9 + 40*p/9 = 0. What is p?
-5, -1, 0, 2
Determine z, given that -2*z**4 + 30*z**3 + 370*z**2 - 30*z - 368 = 0.
-8, -1, 1, 23
Factor -f**3 + 17*f**2 - 76*f + 60.
-(f - 10)*(f - 6)*(f - 1)
Factor 4*b**4 + 368*b**3 + 8524*b**2 + 8160*b.
4*b*(b + 1)*(b + 40)*(b + 51)
Suppose d**3/2 + d**2 - 3*d/2 = 0. Calculate d.
-3, 0, 1
Factor x**2/3 + 2*x/3 - 8.
(x - 4)*(x + 6)/3
Solve b**5/3 - 32*b**4/3 + 256*b**3/3 = 0.
0, 16
Determine g, given that -4*g**3 - 84*g**2 - 476*g - 396 = 0.
-11, -9, -1
Factor 5*u**2 - 135*u.
5*u*(u - 27)
Let -2*v**3/9 - 16*v**2/9 - 22*v/9 + 40/9 = 0. What is v?
-5, -4, 1
Factor 2*f**3/9 + 10*f**2/9 - 16*f/3.
2*f*(f - 3)*(f + 8)/9
Find x such that 3*x**3/4 - 5649*x**2/4 + 664110*x + 665523 = 0.
-1, 942
Factor -25*t**2 + 1255*t + 2340.
-5*(t - 52)*(5*