 + 27*v = 0. Calculate v.
-9, -1, 0, 1
Factor 2*n**3/13 + 170*n**2/13 + 334*n/13 + 166/13.
2*(n + 1)**2*(n + 83)/13
Let 162*k**4/19 + 882*k**3/19 + 1340*k**2/19 + 472*k/19 + 48/19 = 0. Calculate k.
-3, -2, -2/9
Factor -2*a**2 - 1188*a - 176418.
-2*(a + 297)**2
Factor 2*h**2/19 + 20*h/19 + 18/19.
2*(h + 1)*(h + 9)/19
Factor o**5/2 - 9*o**4/2 + 23*o**3/2 - 15*o**2/2.
o**2*(o - 5)*(o - 3)*(o - 1)/2
Suppose -6*j**4/5 - 248*j**3/5 - 3106*j**2/5 - 10728*j/5 - 648 = 0. What is j?
-18, -5, -1/3
Determine y so that 3*y**5 + 12*y**4 + 9*y**3 - 12*y**2 - 12*y = 0.
-2, -1, 0, 1
Find s such that -3*s**2 + 138*s + 141 = 0.
-1, 47
Let 2*z**4/17 - 26*z**3/17 - 522*z**2/17 - 1894*z/17 - 1400/17 = 0. What is z?
-7, -4, -1, 25
Factor -w**4/3 + 2*w**3 - 8*w**2/3 - 2*w + 3.
-(w - 3)**2*(w - 1)*(w + 1)/3
Determine r, given that 4*r**4 - 136*r**3 + 1584*r**2 - 6776*r + 5324 = 0.
1, 11
Factor 2*u**4/5 - 602*u**3/5 - 1818*u**2/5 - 1822*u/5 - 608/5.
2*(u - 304)*(u + 1)**3/5
Suppose 3*r**4/2 + 477*r**3/2 + 237*r**2 = 0. Calculate r.
-158, -1, 0
Factor 5*h**4 - 25*h**3 - 165*h**2 + 225*h + 1080.
5*(h - 8)*(h - 3)*(h + 3)**2
Factor 3*g**2 - 630*g + 33075.
3*(g - 105)**2
Solve j**4/3 + 67*j**3/3 - 170*j**2 + 608*j/3 + 1184/3 = 0.
-74, -1, 4
Factor -2*s**2 - 244*s - 480.
-2*(s + 2)*(s + 120)
Suppose 5*z**3 - 560*z**2 + 16225*z - 30250 = 0. Calculate z.
2, 55
Suppose -4*w**5 - 19*w**4 - 31*w**3 - 19*w**2 - w + 2 = 0. Calculate w.
-2, -1, 1/4
Factor 25*v**3 + 1360*v**2 + 540*v.
5*v*(v + 54)*(5*v + 2)
Factor y**2/2 - 81*y/2 - 356.
(y - 89)*(y + 8)/2
Determine g, given that -g**2/3 - 54*g - 2187 = 0.
-81
Solve 4*r**5/5 + 24*r**4/5 - 12*r**3/5 - 64*r**2/5 + 48*r/5 = 0 for r.
-6, -2, 0, 1
Factor c**4/10 - 3*c**3/10 - 2*c**2/5.
c**2*(c - 4)*(c + 1)/10
Let 35*z**5 + 360*z**4 - 2105*z**3 - 23310*z**2 - 6480*z = 0. Calculate z.
-9, -2/7, 0, 8
Determine u so that 4*u**4/7 + 66*u**3/7 - 28*u**2 - 114*u/7 = 0.
-19, -1/2, 0, 3
Solve -5*y**2 + 265*y - 260 = 0.
1, 52
Factor -5*b**2 + 93*b/2 - 52.
-(b - 8)*(10*b - 13)/2
Factor -2*q**3/5 - 42*q**2/5.
-2*q**2*(q + 21)/5
Factor -2*g**3/9 - 14*g**2 - 82*g/3 - 122/9.
-2*(g + 1)**2*(g + 61)/9
Solve 105*d**5 - 220*d**4 - 715*d**3 - 350*d**2 + 40*d = 0 for d.
-1, 0, 2/21, 4
Factor -o**4/12 - o**3/4 + 23*o**2/12 - 11*o/4 + 7/6.
-(o - 2)*(o - 1)**2*(o + 7)/12
Factor -r**5/4 + 37*r**4/4 - 153*r**3/2 + 257*r**2 - 386*r + 216.
-(r - 27)*(r - 4)*(r - 2)**3/4
Solve x**2 + 1096*x + 300304 = 0 for x.
-548
Determine v, given that -5*v**3 + 435*v**2 - 1270*v + 840 = 0.
1, 2, 84
Solve 4*j**3/3 + 256*j**2/3 + 1156*j/3 - 472 = 0.
-59, -6, 1
Factor 2*l**4/13 + 4*l**3/13 - 2*l**2/13 - 4*l/13.
2*l*(l - 1)*(l + 1)*(l + 2)/13
Factor 20*r**3 - 92*r**2 - 168*r.
4*r*(r - 6)*(5*r + 7)
Let -m**4/5 - 9*m**3/5 + 22*m**2/5 = 0. What is m?
-11, 0, 2
What is t in 140*t**3 - 185*t**2 + 25*t + 20 = 0?
-1/4, 4/7, 1
Let -h**4/3 - 17*h**3/3 - 61*h**2/3 + 39*h + 54 = 0. Calculate h.
-9, -1, 2
Suppose t**2/5 - 176*t + 38720 = 0. What is t?
440
Let s**4/6 + 9*s**3/2 + 35*s**2 + 50*s/3 - 500 = 0. What is s?
-10, 3
Solve 2*a**3 - 362*a**2 + 16560*a - 16200 = 0 for a.
1, 90
Factor -o**4/3 + 23*o**3/3 - 35*o**2/3 - 143*o/3 - 28.
-(o - 21)*(o - 4)*(o + 1)**2/3
Suppose -3*o**3 - 75*o**2 + 339*o - 261 = 0. What is o?
-29, 1, 3
Suppose 5*d**2 + 495*d + 3220 = 0. Calculate d.
-92, -7
Factor 3*l**3/2 - 17*l**2/4 - l/4 + 11/2.
(l - 2)*(l + 1)*(6*l - 11)/4
Let 2*n**5/13 + 1362*n**4/13 - 210*n**3 + 1366*n**2/13 = 0. What is n?
-683, 0, 1
Factor -5*v**4 + 130*v**3 - 660*v**2 + 1240*v - 800.
-5*(v - 20)*(v - 2)**3
Factor 5*w**3 - 15*w - 10.
5*(w - 2)*(w + 1)**2
Find z such that -81*z**3 - 19719*z**2 + 10974*z - 1464 = 0.
-244, 2/9, 1/3
Factor -2*x**2 + 22*x + 252.
-2*(x - 18)*(x + 7)
Solve 2*f**4/3 + 14*f**3/3 + 10*f**2 + 6*f = 0.
-3, -1, 0
Factor -r**2/4 - 16*r + 320.
-(r - 16)*(r + 80)/4
Factor 2*b**3 + 8*b**2 - 230*b + 700.
2*(b - 5)**2*(b + 14)
Let 4*m**4 + 6*m**3 - 12*m**2 - 10*m + 12 = 0. Calculate m.
-2, -3/2, 1
Suppose 4*n**3 - 20*n**2 + 16*n = 0. What is n?
0, 1, 4
Solve 3*x**3 - 45*x**2 - 531*x - 483 = 0.
-7, -1, 23
Factor -2*u**2 + 288*u - 10368.
-2*(u - 72)**2
Let 4*i**4 + 32*i**3 - 168*i**2 - 416*i - 220 = 0. Calculate i.
-11, -1, 5
Factor -y**3/3 - 4*y**2/3 - 5*y/3 - 2/3.
-(y + 1)**2*(y + 2)/3
Factor 4*f**4 - 4*f**2.
4*f**2*(f - 1)*(f + 1)
Factor 2*v**2/3 - v/6 - 1/2.
(v - 1)*(4*v + 3)/6
Factor -s**5 - 6*s**4 + 3*s**3 + 16*s**2 - 12*s.
-s*(s - 1)**2*(s + 2)*(s + 6)
Find m such that -m**4/3 + 14*m**3/3 - 16*m**2 - 14*m/3 + 49/3 = 0.
-1, 1, 7
Find f such that -4*f**2 - 14288*f - 12759184 = 0.
-1786
What is t in -2*t**4/11 - 376*t**3/11 - 26508*t**2/11 - 830584*t/11 - 9759362/11 = 0?
-47
Let -5*d**2 + 430*d = 0. What is d?
0, 86
Factor -14*a**3 - 116*a**2 - 32*a.
-2*a*(a + 8)*(7*a + 2)
Determine y so that -y**3/4 - 295*y**2/4 - 587*y/4 - 293/4 = 0.
-293, -1
Find a such that -27*a**4 + 267*a**3 - 213*a**2 - 27*a = 0.
-1/9, 0, 1, 9
Factor 2*s**4 - 8*s**3 - 14*s**2 + 20*s.
2*s*(s - 5)*(s - 1)*(s + 2)
Let -5*b**2 - 9200*b - 4232000 = 0. Calculate b.
-920
Solve s**2/5 - 633*s/5 = 0.
0, 633
Solve 3*z**2/2 - 591*z = 0.
0, 394
Factor 3*h**5/2 + 51*h**4 + 1083*h**3/2 + 1350*h**2 - 4536*h + 2592.
3*(h - 1)**2*(h + 12)**3/2
Determine n, given that n**4/4 + 163*n**3/2 - 247*n**2 - 163*n/2 + 987/4 = 0.
-329, -1, 1, 3
Suppose 3*f**3/4 - 24831*f**2/4 + 12848490*f - 12842283 = 0. Calculate f.
1, 4138
Factor 2*l**5/17 - 60*l**4/17 + 386*l**3/17 + 960*l**2/17 + 512*l/17.
2*l*(l - 16)**2*(l + 1)**2/17
Factor -3*n**4 + 25*n**3 - 6*n**2 - 16*n.
-n*(n - 8)*(n - 1)*(3*n + 2)
Determine j so that 5*j**3 + 55*j**2 - 45*j - 495 = 0.
-11, -3, 3
Solve -3*l**2 + 2874*l - 688323 = 0.
479
Factor 5*w**4 - 1010*w**3 + 52965*w**2 - 196020*w.
5*w*(w - 99)**2*(w - 4)
Factor -o**2/3 + 1762*o/3 - 776161/3.
-(o - 881)**2/3
Let -4*i**5 + 88*i**4 - 672*i**3 + 1960*i**2 - 1372*i = 0. Calculate i.
0, 1, 7
Let -4*g**4 + 748*g**3 - 46872*g**2 + 999440*g - 953312 = 0. Calculate g.
1, 62
Factor 16*k**5 - 192*k**4 + 900*k**3 - 2052*k**2 + 2268*k - 972.
4*(k - 3)**3*(2*k - 3)**2
Suppose -4*f**3/3 + 136*f**2 + 1252*f/3 + 280 = 0. Calculate f.
-2, -1, 105
Solve -24*o**4 - 18*o**3 + 57*o**2 - 9*o - 6 = 0 for o.
-2, -1/4, 1/2, 1
Let -2*l**5/7 - 24*l**4/7 - 74*l**3/7 + 60*l**2/7 + 400*l/7 = 0. Calculate l.
-5, -4, 0, 2
Let 24*d**5 - 33*d**4 + 9*d**3 = 0. What is d?
0, 3/8, 1
Solve -2*n**2 + 12*n + 110 = 0.
-5, 11
Factor z**3/3 + 2*z**2/3 - 11*z/3 - 4.
(z - 3)*(z + 1)*(z + 4)/3
Let 3375*s**4 - 116775*s**3 - 47070*s**2 - 6292*s - 280 = 0. Calculate s.
-2/15, 35
Determine h so that 13*h**5 + 536*h**4/5 + 579*h**3/5 + 16*h**2 - 28*h/5 = 0.
-7, -1, -2/5, 0, 2/13
Solve 5*y**3 + 1050*y**2 - 3195*y = 0 for y.
-213, 0, 3
Factor -4*y**2 - 408*y - 3680.
-4*(y + 10)*(y + 92)
Suppose -4*r**2/9 + 296*r/3 - 576 = 0. Calculate r.
6, 216
Factor 5*v**5 - 50*v**4 - 260*v**3 - 280*v**2.
5*v**2*(v - 14)*(v + 2)**2
Factor -2*r**2/9 - 214*r/9 - 1400/9.
-2*(r + 7)*(r + 100)/9
Factor -2*r**4/9 - 14*r**3 - 392*r**2/3 + 54880*r/9 + 307328/3.
-2*(r - 21)*(r + 28)**3/9
Factor h**3 + 4*h**2 - 97*h + 260.
(h - 5)*(h - 4)*(h + 13)
Factor -2*q**3/11 + 15*q**2/11 - 34*q/11 + 24/11.
-(q - 4)*(q - 2)*(2*q - 3)/11
Factor z**4 - 69*z**3 - 287*z**2 - 363*z - 146.
(z - 73)*(z + 1)**2*(z + 2)
Factor -g**3 - 10*g**2 - 17*g + 28.
-(g - 1)*(g + 4)*(g + 7)
Let 3*b**4 - 267*b**3 - 273*b**2 + 267*b + 270 = 0. Calculate b.
-1, 1, 90
Find m such that -4*m**3 - 116*m**2 - 780*m + 900 = 0.
-15, 1
Suppose -4*p**4/5 - 512*p**3/5 + 536*p**2/5 + 2592*p/5 + 1548/5 = 0. Calculate p.
-129, -1, 3
What is c in c**5/4 + 3*c**4/4 - c**3/4 - 3*c**2/4 = 0?
-3, -1, 0, 1
Suppose 5*t**2 - 75*t - 1080 = 0. Calculate t.
-9, 24
Factor -2*t**4/13 + 2*t**3/13 + 2*t**2/13 - 2*t/13.
-2*t*(t - 1)**2*(t + 1)/13
What is o in -12*o**4 - 12*o**3 - 3*o**2 = 0?
-1/2, 0
Determine w so that 20*w**3/3 + 15884*w**2/9 + 11624*w/9 + 704/3 = 0.
-264, -2/5, -1/3
Find x such that -20*x**5/3 + 54*x**4 - 362*x**3/3 + 86*x**2 + 22*x/3 - 20 = 0.
-2/5, 1, 3/2, 5
Factor 2*o**2/5 + 4956*o/5 + 3070242/5.
2*(o + 1239)**2/5
Factor -10*q**2 - 61*q - 6.
-(q + 6)*(10*q + 1)
Factor 2*z**2 - 3600*z + 1620000.
2*(z - 900)**2
Suppose 5*w**5 + 20*w**4 - 185*w**3 - 620*w**2 - 420*w = 0. Calculate w.
-7, -2, -1, 0, 6
Find a such that 4*a**5 + 10