 4
Let -5*o**4 - 970*o**3 - 9260*o**2 - 10680*o + 66240 = 0. What is o?
-184, -6, 2
Factor -3*m**2/4 - 522*m - 90828.
-3*(m + 348)**2/4
Factor -p**2 - 4*p.
-p*(p + 4)
Suppose 12*u**5 + 672*u**4 + 639*u**3 - 1149*u**2 + 330*u = 0. What is u?
-55, -2, 0, 1/2
Factor 4*f**2 + 44*f + 40.
4*(f + 1)*(f + 10)
Factor d**5 + 3*d**4 - 18*d**3 - 32*d**2 + 96*d.
d*(d - 3)*(d - 2)*(d + 4)**2
Find s such that 3*s**4 + 15*s**3 - 174*s**2 - 204*s + 360 = 0.
-10, -2, 1, 6
Factor 4*g**5 - 36*g**4 - 84*g**3 - 44*g**2.
4*g**2*(g - 11)*(g + 1)**2
Determine c, given that 3*c**4 + 27*c**3 - 159*c**2 - 27*c + 156 = 0.
-13, -1, 1, 4
Solve -4*v**4/9 + 4*v**3 + 16*v**2/9 - 16*v = 0 for v.
-2, 0, 2, 9
Factor l**4 - 1276*l**3 + 610566*l**2 - 129847036*l + 10355301121.
(l - 319)**4
Factor -2*k**2/9 - 356*k/9 - 118/3.
-2*(k + 1)*(k + 177)/9
Suppose 5*u**3 + 390*u**2 - 795*u + 400 = 0. Calculate u.
-80, 1
Let 4*o**3 - 956*o**2 = 0. Calculate o.
0, 239
Suppose k**4/5 + 76*k**3/5 + 148*k**2/5 = 0. Calculate k.
-74, -2, 0
Factor -351*x**2 + 1059*x - 18.
-3*(x - 3)*(117*x - 2)
Solve i**2/7 - 13*i/7 - 2 = 0 for i.
-1, 14
Determine m, given that 28*m**2 - 6208*m - 1776 = 0.
-2/7, 222
Find p such that -p**5 + 14*p**4 + 116*p**3 + 86*p**2 - 115*p - 100 = 0.
-5, -1, 1, 20
Suppose -5*q**4 + 35*q**3 + 15*q**2 - 115*q + 70 = 0. Calculate q.
-2, 1, 7
Factor -2*p**5 + 10*p**4 - 12*p**3.
-2*p**3*(p - 3)*(p - 2)
Factor o**3 - 837*o**2 - 1677*o - 839.
(o - 839)*(o + 1)**2
Factor x**3/5 + 54*x**2/5 + 156*x + 1352/5.
(x + 2)*(x + 26)**2/5
Factor 4*q**4 + 2796*q**3 + 651468*q**2 + 50597348*q.
4*q*(q + 233)**3
Solve -l**3/4 + 29*l**2/4 + 114*l + 369 = 0.
-6, 41
Suppose -2*p**2/5 - 34*p + 172/5 = 0. What is p?
-86, 1
Let 2*j**5 + 12*j**4 + 16*j**3 - 4*j**2 - 18*j - 8 = 0. Calculate j.
-4, -1, 1
Factor 181*n**2/6 - 634*n/3 + 7/6.
(n - 7)*(181*n - 1)/6
Find s such that 832*s**5 + 828*s**4 - 4996*s**3 - 3304*s**2 + 6672*s - 32 = 0.
-2, 1/208, 1, 2
Solve 3*y**2/2 + 171*y/2 - 270 = 0.
-60, 3
Factor -m**5 + 280*m**4 + 563*m**3 + 282*m**2.
-m**2*(m - 282)*(m + 1)**2
Suppose 3*h**3/5 + h**2/5 = 0. Calculate h.
-1/3, 0
Factor -4*a**4 - 52*a**3 - 132*a**2 - 124*a - 40.
-4*(a + 1)**3*(a + 10)
Determine y so that -20*y**3 + 288*y**2 - 540*y - 432 = 0.
-3/5, 3, 12
Factor -4*b**2 - 20*b + 96.
-4*(b - 3)*(b + 8)
Factor -3*j**2 + 70*j - 23.
-(j - 23)*(3*j - 1)
Factor -24*d**2 + 4*d + 204.
-4*(d - 3)*(6*d + 17)
Suppose -4*g**2 + 96*g - 380 = 0. Calculate g.
5, 19
What is z in -2*z**3 - 98*z**2 - 1022*z + 4002 = 0?
-29, -23, 3
Suppose 4*g**3 - 16*g**2 - 4*g + 16 = 0. What is g?
-1, 1, 4
Factor -r**2/9 + 5*r/9 + 8/3.
-(r - 8)*(r + 3)/9
Factor 2*f**4/5 - 22*f**2/5 + 36*f/5 - 16/5.
2*(f - 2)*(f - 1)**2*(f + 4)/5
Suppose s**2/4 + 369*s/2 + 136161/4 = 0. What is s?
-369
Solve -2*f**2 + 52*f - 320 = 0 for f.
10, 16
What is a in a**2/2 - 897*a/2 + 448 = 0?
1, 896
Factor l**4/7 + 39*l**3/7 + 492*l**2/7 + 2176*l/7 + 3072/7.
(l + 3)*(l + 4)*(l + 16)**2/7
Find p, given that 2*p**5 + 6*p**4 - 188*p**3 + 828*p**2 - 1350*p + 702 = 0.
-13, 1, 3
Factor -g**3 - 123*g**2 - 3720*g + 3844.
-(g - 1)*(g + 62)**2
Find q such that 2*q**5/17 + 1082*q**4/17 + 144710*q**3/17 - 440642*q**2/17 + 26048*q - 8704 = 0.
-272, 1
Solve -2*s**5 - 88*s**4/3 + 42*s**3 - 32*s**2/3 = 0 for s.
-16, 0, 1/3, 1
Let 4*j**4 + 32*j**3 - 56*j**2 - 192*j - 108 = 0. Calculate j.
-9, -1, 3
Factor -2*c**2/3 - 752*c - 2254/3.
-2*(c + 1)*(c + 1127)/3
Factor -2*u**2/3 - 2*u/3 + 20.
-2*(u - 5)*(u + 6)/3
Solve -46*j**3 + 48*j**2 - 2*j = 0.
0, 1/23, 1
Factor -y**4/5 + 29*y**3/5 + 6*y**2.
-y**2*(y - 30)*(y + 1)/5
Factor 5*b**3 - 25*b**2 + 35*b - 15.
5*(b - 3)*(b - 1)**2
Determine k so that -20*k**5 + 132*k**4 + 416*k**3 + 144*k**2 = 0.
-2, -2/5, 0, 9
Determine y, given that 35*y**3 - 165*y**2 + 85*y + 285 = 0.
-1, 19/7, 3
Suppose 2*m**3/9 - 2*m**2 + 16*m/9 = 0. Calculate m.
0, 1, 8
Find q, given that -2*q**2/5 + 19808*q/5 - 49044608/5 = 0.
4952
Let 2*q**4 + 82*q**3 + 294*q**2 - 82*q - 296 = 0. What is q?
-37, -4, -1, 1
Factor -a**2 - 1060*a - 280900.
-(a + 530)**2
Factor 3*i**3/4 + 15*i**2/4 + 9*i/2.
3*i*(i + 2)*(i + 3)/4
Factor -4*p**2 + 80*p.
-4*p*(p - 20)
Let 15*l**5/7 - 3399*l**4/7 + 255138*l**3/7 - 6222120*l**2/7 - 9114528*l/7 - 2633856/7 = 0. What is l?
-1, -2/5, 76
Factor 2*g**2 - 8*g - 120.
2*(g - 10)*(g + 6)
Determine z, given that 3*z**2 + 1974*z + 324723 = 0.
-329
Factor -2*d**4/5 - 52*d**3/5 + 112*d**2/5.
-2*d**2*(d - 2)*(d + 28)/5
Determine n, given that -3*n**3 + 21*n + 18 = 0.
-2, -1, 3
Factor 3*l**4 - 243*l**3 + 5271*l**2 - 14157*l + 9126.
3*(l - 39)**2*(l - 2)*(l - 1)
Let -3*c**3/8 + 27*c**2/2 + 1083*c/8 - 297/2 = 0. What is c?
-9, 1, 44
Determine h so that -10*h**4/3 - 12*h**3 + 86*h**2/3 + 24*h - 40/3 = 0.
-5, -1, 2/5, 2
Determine k, given that -3*k**5 + 21*k**4 + 9*k**3 - 69*k**2 + 42*k = 0.
-2, 0, 1, 7
Factor j**2/6 - j/2 - 2/3.
(j - 4)*(j + 1)/6
Suppose -4*p**3 + 32*p**2 - 52*p + 24 = 0. Calculate p.
1, 6
Factor 2*g**5/5 - 108*g**4/5 + 412*g**3/5 - 608*g**2/5 + 402*g/5 - 20.
2*(g - 50)*(g - 1)**4/5
Factor -2*z**4/15 + 1252*z**3/15 - 189578*z**2/15 - 132712*z - 337080.
-2*(z - 318)**2*(z + 5)**2/15
Factor 4*x**5 + 16*x**4 - 16*x**3 - 64*x**2.
4*x**2*(x - 2)*(x + 2)*(x + 4)
Solve -v**4 + 17*v**3 - 14*v**2 - 32*v = 0.
-1, 0, 2, 16
Find l such that 2*l**2/5 + 12*l + 90 = 0.
-15
Solve 2*m**2/9 + 1304*m/9 = 0 for m.
-652, 0
Determine p so that 10*p**4 + 72*p**3/13 - 122*p**2/13 - 72*p/13 - 8/13 = 0.
-1, -2/5, -2/13, 1
Solve 100*j**2 + 192*j - 16 = 0.
-2, 2/25
Factor 4*z**5 + 3*z**4 - 65*z**3 + 96*z**2 - 20*z.
z*(z - 2)**2*(z + 5)*(4*z - 1)
Solve 2*r**3 - 11*r**2/2 - 3*r + 9/2 = 0 for r.
-1, 3/4, 3
Factor 2*i**3/5 + 12*i**2/5 + 16*i/5.
2*i*(i + 2)*(i + 4)/5
Factor 5*v**3 - 250*v**2 - 515*v - 260.
5*(v - 52)*(v + 1)**2
Let 5*a**5 + 65*a**4 - 25*a**3 - 325*a**2 + 20*a + 260 = 0. Calculate a.
-13, -2, -1, 1, 2
Determine q so that 4*q**2/19 - 15302*q/19 + 7650/19 = 0.
1/2, 3825
Suppose -2*l**2/3 - 122*l/3 = 0. What is l?
-61, 0
Factor 3*t**2 - 69*t - 990.
3*(t - 33)*(t + 10)
Determine z so that -2*z**3/15 - 14*z**2/3 = 0.
-35, 0
Factor 2*l**3/11 - 252*l**2/11 + 648*l + 4752.
2*(l - 66)**2*(l + 6)/11
Suppose -l**4 + 25*l**2 - 60*l + 36 = 0. What is l?
-6, 1, 2, 3
Suppose -8*z**2 - 532*z - 264 = 0. What is z?
-66, -1/2
Determine k, given that -3*k**2/7 - 39*k/7 - 36/7 = 0.
-12, -1
Suppose 5*w**2 - 525*w + 2970 = 0. What is w?
6, 99
Factor -2*q**2/5 - 74*q/5 + 76/5.
-2*(q - 1)*(q + 38)/5
Factor 4*o**2 - 68*o + 120.
4*(o - 15)*(o - 2)
Suppose -i**5/5 + 3*i**4 - 67*i**3/5 + 129*i**2/5 - 112*i/5 + 36/5 = 0. Calculate i.
1, 2, 9
Factor -x**3 - 77*x**2 - 419*x + 497.
-(x - 1)*(x + 7)*(x + 71)
Find u such that -2*u**2/5 - 2244*u/5 + 4496/5 = 0.
-1124, 2
Solve 195*f**3 - 50*f**2 - 135*f - 10 = 0.
-2/3, -1/13, 1
Let -n**2 + 45*n = 0. What is n?
0, 45
Let -3*k**3 - 123*k**2 - 1320*k - 1200 = 0. What is k?
-20, -1
Factor 3*f**3/4 + 30*f**2 + 231*f/4 + 57/2.
3*(f + 1)**2*(f + 38)/4
Suppose -5*d**3 + 530*d**2 - 13500*d - 29160 = 0. Calculate d.
-2, 54
Find f such that 3*f**2 - 276*f + 6348 = 0.
46
Factor -2*k**3 - 6*k**2.
-2*k**2*(k + 3)
Find m such that 11*m**2 - 18*m = 0.
0, 18/11
Factor -2*g**3 - 18*g**2 - 46*g - 30.
-2*(g + 1)*(g + 3)*(g + 5)
Factor 2*h**3/5 + 4014*h**2/5 + 2685366*h/5 + 598836618/5.
2*(h + 669)**3/5
Let w**2/2 - 10*w = 0. What is w?
0, 20
Factor -62*q**5/11 - 196*q**4/11 - 216*q**3/11 - 92*q**2/11 - 10*q/11.
-2*q*(q + 1)**3*(31*q + 5)/11
Factor 5*t**3 - 705*t**2 + 700*t.
5*t*(t - 140)*(t - 1)
Determine u so that 16*u**5 + 84*u**4 - 32*u**3 - 300*u**2 - 200*u = 0.
-5, -5/4, -1, 0, 2
Suppose d**4 + 10*d**3 + 25*d**2 = 0. Calculate d.
-5, 0
Factor 24*t**2 - 668*t - 112.
4*(t - 28)*(6*t + 1)
Determine w, given that -5*w**5 - 47*w**4 - 58*w**3 - 16*w**2 = 0.
-8, -1, -2/5, 0
Suppose 3*y**5 + 156*y**4 + 2679*y**3 + 17358*y**2 + 46368*y + 42336 = 0. Calculate y.
-21, -4, -2
Determine g so that 3*g**4/4 + 15*g**3/4 - 18*g**2 + 3*g + 24 = 0.
-8, -1, 2
What is i in i**3/4 - 345*i**2/2 + 119025*i/4 = 0?
0, 345
Determine c so that -2*c**2/9 - 64*c/9 - 62/9 = 0.
-31, -1
Factor 2*z**3/7 - 5*z**2/7 - 23*z/7 - 10/7.
(z - 5)*(z + 2)*(2*z + 1)/7
What is y in 9*y**5/5 - 48*y**4/5 + 72*y**3/5 - 48*y/5 = 0?
-2/3, 0, 2
Factor -5*o**2 + 330*o - 945.
-5*(o - 63)*(o - 3)
Deter