3/7 + 272*g**2/7 + 38*g + 66/7.
2*(g + 33)*(2*g + 1)**2/7
Solve -3*u**3/7 + 6*u**2 - 192*u/7 + 288/7 = 0 for u.
4, 6
Factor 34*c**2/21 + 32*c/21 - 2/21.
2*(c + 1)*(17*c - 1)/21
Factor -3*u**2 + 141*u - 138.
-3*(u - 46)*(u - 1)
Determine r, given that 3*r**2 + 45*r + 150 = 0.
-10, -5
Solve y**5/9 - 44*y**4/9 - 2*y**3/3 + 256*y**2/9 + 349*y/9 + 44/3 = 0 for y.
-1, 3, 44
Suppose 20*j**4 - 5*j**3 - 980*j**2 - 2155*j + 600 = 0. What is j?
-5, -3, 1/4, 8
Let -3*k**2/8 - 3693*k - 9092166 = 0. What is k?
-4924
Determine i, given that 5*i**4 - 105*i**3 - 115*i**2 + 105*i + 110 = 0.
-1, 1, 22
What is d in 2*d**5/17 + 180*d**4/17 + 862*d**3/17 + 1012*d**2/17 - 696*d/17 - 80 = 0?
-85, -2, 1
Suppose 5*k**4 - 2115*k**3 + 4195*k**2 + 6315*k = 0. What is k?
-1, 0, 3, 421
Solve -55*p**3 + 370*p**2 + 105*p = 0 for p.
-3/11, 0, 7
Factor -5*t**3 - 70*t**2.
-5*t**2*(t + 14)
Factor 3*p**2 - 48*p + 144.
3*(p - 12)*(p - 4)
Factor -3*b**2 - 3*b + 6.
-3*(b - 1)*(b + 2)
Let -d**4 - 54*d**3 - 432*d**2 + 17280*d + 248832 = 0. What is d?
-24, 18
Suppose g**3 + 13*g**2 - g - 13 = 0. Calculate g.
-13, -1, 1
Suppose -4*p**2 - 5184*p - 1679616 = 0. Calculate p.
-648
Solve -2*z**4/7 + 18*z**3/7 - 44*z**2/7 + 64/7 = 0 for z.
-1, 2, 4
What is h in 2*h**4/7 + 8*h**3/7 - 12*h**2/7 - 72*h/7 - 54/7 = 0?
-3, -1, 3
Solve -16*k**2/7 - 4*k - 12/7 = 0 for k.
-1, -3/4
Factor i**2 - 1648*i + 678976.
(i - 824)**2
Factor 14*v**2/15 + 262*v - 1124/15.
2*(v + 281)*(7*v - 2)/15
Factor 2*r**2/13 - 32/13.
2*(r - 4)*(r + 4)/13
Determine k, given that -2*k**3 - 338*k**2 + 2*k + 338 = 0.
-169, -1, 1
Factor d**4/5 + d**3/5 - 3*d**2/5 - d - 2/5.
(d - 2)*(d + 1)**3/5
Suppose k**3/6 + 222*k**2 + 147407*k/2 - 444889/3 = 0. Calculate k.
-667, 2
Determine d so that 4*d**4/3 + 8*d**3/3 + 4*d**2/3 = 0.
-1, 0
Factor -2*s**4/3 + 56*s**3/3 - 88*s**2 - 1792*s/3 - 2048/3.
-2*(s - 16)**2*(s + 2)**2/3
Find g, given that 5*g**2 + 105*g + 540 = 0.
-12, -9
Let 10*h**5 - 1456*h**4 + 2882*h**3 - 1436*h**2 = 0. What is h?
0, 1, 718/5
Find s, given that -2*s**5/3 + 38*s**4 - 104*s**3/3 - 152*s**2 + 448*s/3 = 0.
-2, 0, 1, 2, 56
Factor -2*y**3 + 3960*y**2 - 2613600*y + 574992000.
-2*(y - 660)**3
Factor 4*c**2 - 544*c - 1104.
4*(c - 138)*(c + 2)
Suppose -n**4/2 + 7*n**3 + 137*n**2/2 + 105*n = 0. What is n?
-5, -2, 0, 21
Solve 4*r**5 + 4*r**4 - 12*r**3 - 4*r**2 + 8*r = 0 for r.
-2, -1, 0, 1
Find w such that 5*w**3/2 - 1175*w**2/2 + 35380*w - 100920 = 0.
3, 116
What is d in 3*d**3 - 15*d**2 - 99*d - 81 = 0?
-3, -1, 9
Determine f, given that -f**4/9 + f**3/9 + 4*f**2/9 - 4*f/9 = 0.
-2, 0, 1, 2
Let -r**2/2 - 48*r - 1152 = 0. Calculate r.
-48
Let 4*m**4 + 18*m**3 + 24*m**2 + 10*m = 0. Calculate m.
-5/2, -1, 0
Factor y**2/2 - 10*y - 429/2.
(y - 33)*(y + 13)/2
Factor -195*f**2 + 205*f - 10.
-5*(f - 1)*(39*f - 2)
Determine d, given that -d**5/2 + 21*d**4 + 5*d**3/2 - 105*d**2 - 2*d + 84 = 0.
-2, -1, 1, 2, 42
Factor 4*w**3 - 28*w**2 + 60*w - 36.
4*(w - 3)**2*(w - 1)
Factor 3*h**4 + 12*h**3 + 6*h**2 - 12*h - 9.
3*(h - 1)*(h + 1)**2*(h + 3)
Factor g**3 - 951*g**2 + 1899*g - 949.
(g - 949)*(g - 1)**2
Factor 5*x**3/3 - 10*x**2/3 - 35*x/3 - 20/3.
5*(x - 4)*(x + 1)**2/3
Solve -5*i**4 + 20*i**3 - 15*i**2 = 0 for i.
0, 1, 3
Find x such that 4*x**5 - 32*x**4 + 48*x**3 + 104*x**2 - 244*x + 120 = 0.
-2, 1, 3, 5
Suppose s**4/6 - s**3 + 11*s**2/6 - s = 0. What is s?
0, 1, 2, 3
Find b, given that 5*b**4 + 20*b**3 + 15*b**2 - 20*b - 20 = 0.
-2, -1, 1
Factor 3*b**4 + 2430*b**3 - 4872*b**2.
3*b**2*(b - 2)*(b + 812)
Factor -3*g**5/2 - 12*g**4 - 33*g**3 - 36*g**2 - 27*g/2.
-3*g*(g + 1)**2*(g + 3)**2/2
What is w in 2*w**2 - 1764*w + 388962 = 0?
441
Determine b so that -7*b**5/3 - 47*b**4/3 + 917*b**3/3 + 229*b**2 - 90*b = 0.
-15, -1, 0, 2/7, 9
Determine q so that -3*q**3/7 + 3078*q**2/7 - 113661*q + 447636 = 0.
4, 511
Factor -j**5/4 + 26*j**4 - 1785*j**3/2 + 9800*j**2 + 42875*j/4.
-j*(j - 35)**3*(j + 1)/4
Let 2*z**3/7 - 192*z**2/7 - 398*z/7 + 84 = 0. What is z?
-3, 1, 98
Find z, given that -48*z**3 + 8472*z**2 - 378027*z + 369603 = 0.
1, 351/4
Factor 2*u**3/11 - 14*u**2/11.
2*u**2*(u - 7)/11
Let -3*s**3 - 12*s**2 + 12*s + 48 = 0. Calculate s.
-4, -2, 2
Factor 3*o**2 - 2028*o + 6057.
3*(o - 673)*(o - 3)
Factor -q**3 + 10*q**2 - 9*q.
-q*(q - 9)*(q - 1)
Find c such that -4*c**3 - 368*c**2 - 11124*c - 110808 = 0.
-38, -27
Suppose -2*h**4/7 + 884*h**3/7 - 1762*h**2/7 + 880*h/7 = 0. Calculate h.
0, 1, 440
Factor -a**3 + a**2 + 176*a - 960.
-(a - 8)**2*(a + 15)
Solve -l**5/2 + l**4 + 19*l**3/2 + 14*l**2 + 6*l = 0.
-2, -1, 0, 6
Factor -2*x**2 - 312*x.
-2*x*(x + 156)
What is q in q**5/5 + 71*q**4/5 - 73*q**3/5 - 71*q**2/5 + 72*q/5 = 0?
-72, -1, 0, 1
Determine y, given that -5*y**2 - 150*y + 320 = 0.
-32, 2
Determine t so that -2*t**5/13 + 180*t**4/13 + 16*t**3/13 - 1440*t**2/13 - 32*t/13 + 2880/13 = 0.
-2, 2, 90
Factor -5*v**4 - 10*v**3 + 75*v**2 + 160*v + 80.
-5*(v - 4)*(v + 1)**2*(v + 4)
Suppose 5*g**4 - 2854*g**3 - 6296*g**2 - 4010*g - 573 = 0. What is g?
-1, -1/5, 573
Factor -3*v**4 + 12*v**3.
-3*v**3*(v - 4)
Factor 5*s**3 - 300*s**2 + 285*s + 590.
5*(s - 59)*(s - 2)*(s + 1)
Factor -t**5/2 + t**4/2 + 4*t**3 - 6*t**2.
-t**2*(t - 2)**2*(t + 3)/2
What is c in -6*c**4 + 142*c**3 - 222*c**2 + 42*c + 44 = 0?
-1/3, 1, 22
Factor -5*j**2 + 155*j + 2050.
-5*(j - 41)*(j + 10)
Solve 2*s**5 + 12*s**4 + 18*s**3 = 0.
-3, 0
Find g, given that g**3/2 - 653*g**2/2 - 1309*g/2 - 655/2 = 0.
-1, 655
What is d in -6*d**5/5 + 5*d**4 - 34*d**3/5 + 17*d**2/5 - 2*d/5 = 0?
0, 1/6, 1, 2
What is t in -14*t**5 + 2*t**4 + 42*t**3 + 22*t**2 - 4*t = 0?
-1, 0, 1/7, 2
Factor -5*k**4 - 110*k**3 - 705*k**2 - 1100*k - 500.
-5*(k + 1)**2*(k + 10)**2
Find d, given that 3*d**5 - 12*d**4 - 15*d**3 + 60*d**2 + 12*d - 48 = 0.
-2, -1, 1, 2, 4
Determine h, given that -5*h**4 + 950*h**3 - 5520*h**2 = 0.
0, 6, 184
Factor -3*k**2/8 + 75*k - 597/8.
-3*(k - 199)*(k - 1)/8
Suppose 15*n**4/2 - 99*n**3/2 - 297*n**2/2 - 237*n/2 - 27 = 0. What is n?
-1, -2/5, 9
Let -2*a**2 + 6*a + 20 = 0. What is a?
-2, 5
Factor 3*j**2/8 - 39*j/8 + 15.
3*(j - 8)*(j - 5)/8
Factor -5*t**2 - 555*t.
-5*t*(t + 111)
Let -s**2/4 + 67*s/4 - 33/2 = 0. Calculate s.
1, 66
Factor -3*n**2 + 16842*n - 23637747.
-3*(n - 2807)**2
Find a, given that a**2/5 + a/5 - 6 = 0.
-6, 5
Suppose p**3/2 - 107*p**2/4 - 55*p/4 + 27/2 = 0. What is p?
-1, 1/2, 54
Factor 7*z**4/9 - 40*z**3/9 + 14*z**2/3 + 8*z - 9.
(z - 3)**2*(z - 1)*(7*z + 9)/9
Factor 4*i**2 - 652*i + 1288.
4*(i - 161)*(i - 2)
Determine v, given that -2*v**5/3 + 14*v**4 - 260*v**3/3 + 176*v**2 + 64*v/3 - 256 = 0.
-1, 2, 4, 12
Factor -3267*f**2 + 15840*f - 19200.
-3*(33*f - 80)**2
Suppose 143*l**3/3 + 96*l**2 + 49*l + 2/3 = 0. What is l?
-1, -2/143
Factor 2*v**2 + 22*v + 56.
2*(v + 4)*(v + 7)
Let -364*g**2/3 + 12*g + 40/3 = 0. What is g?
-2/7, 5/13
What is t in 3*t**5 + 1287*t**4/2 - 651*t**3/2 - 1287*t**2/2 + 645*t/2 = 0?
-215, -1, 0, 1/2, 1
Factor -x**4/3 + 32*x**3/3 + 11*x**2.
-x**2*(x - 33)*(x + 1)/3
Factor -16*a**4 - 42328*a**3 - 27984097*a**2 + 13999986*a - 1750329.
-(a + 1323)**2*(4*a - 1)**2
Suppose -s**4 + 9*s**3/2 - 11*s**2/2 + 2 = 0. Calculate s.
-1/2, 1, 2
Determine h so that -10*h**2 + 1116*h + 448 = 0.
-2/5, 112
Suppose c**2/2 + 11*c/2 + 15 = 0. Calculate c.
-6, -5
Factor -p**5 + 6*p**4 - p**3 - 24*p**2 - 16*p.
-p*(p - 4)**2*(p + 1)**2
Let -250*d**3 + 600*d**2 - 480*d + 128 = 0. What is d?
4/5
Determine n, given that -n**2 + 104*n - 303 = 0.
3, 101
Factor -5*h**3 + 80*h**2 - 275*h - 360.
-5*(h - 9)*(h - 8)*(h + 1)
Factor 220*u**2/7 - 664*u/7 + 12/7.
4*(u - 3)*(55*u - 1)/7
Let -3*w**2 + 375*w - 2142 = 0. Calculate w.
6, 119
Factor -3*p**2 + 87*p - 300.
-3*(p - 25)*(p - 4)
Solve -5*r**2 + 55*r + 210 = 0 for r.
-3, 14
Factor 4*b**2 + 248*b - 512.
4*(b - 2)*(b + 64)
Factor -3*w**5/5 - 48*w**4/5 - 216*w**3/5 + 1296*w/5.
-3*w*(w - 2)*(w + 6)**3/5
Factor -x**3 - 3054*x**2 - 2334780*x - 4657352.
-(x + 2)*(x + 1526)**2
Factor -66*a**3 + 795*a**2 - 2412*a + 108.
-3*(a - 6)**2*(22*a - 1)
Let 2*t**5/3 + 6*t**4 + 4*t**3 - 148*t**2/3 - 90*t - 42 = 0. Calculate t.
-7, -3, -1, 3
Determine d so that -d**3/6 + 67*d**2/3 + 271*d/6 + 68/3 = 0.
-1, 136
Suppose 6*d**2 - 74*d - 52 = 0. Calculate d.
-2/3, 13
Suppose 5*d**2 + 280*d + 1275 = 0. What is d?
-51, -5
Find x such that 4*x**4 - 80*x**2 + 256 = 0