- 168.
-4*(f - 42)*(f + 1)*(4*f - 1)
Solve -25*z**4/4 - 5*z**3 + 21*z**2/4 + 5*z + 1 = 0.
-1, -2/5, 1
Let -10*j**3/9 - 2*j**2/9 + 26*j/9 + 2 = 0. Calculate j.
-1, 9/5
Determine f so that 2*f**2/9 + 286*f/9 + 188/3 = 0.
-141, -2
Let r**2 - 21*r = 0. Calculate r.
0, 21
Factor -5*p**2 - 11000*p - 6050000.
-5*(p + 1100)**2
Factor 2*h**2/13 + 80*h/13 + 152/13.
2*(h + 2)*(h + 38)/13
Find u, given that 2*u**2/5 - 32/5 = 0.
-4, 4
Suppose 5*u**5 - 415*u**4 + 9210*u**3 - 24800*u**2 + 16000*u = 0. Calculate u.
0, 1, 2, 40
Factor 2*o**4/5 - 9*o**3/5 + 4*o**2/5.
o**2*(o - 4)*(2*o - 1)/5
Factor h**4 - 91*h**3 + 1818*h**2 + 12096*h - 13824.
(h - 48)**2*(h - 1)*(h + 6)
Let -25*g**5 + 35*g**4 + 105*g**3 - 55*g**2 - 160*g - 60 = 0. What is g?
-1, -3/5, 2
Factor -2*a**3 - 6*a**2 + 2*a + 6.
-2*(a - 1)*(a + 1)*(a + 3)
What is p in -5*p**3/4 - 10*p**2 + 955*p/4 - 855/2 = 0?
-19, 2, 9
Factor -3*h**2 + 84*h - 81.
-3*(h - 27)*(h - 1)
Factor -118*l**4 + 3544*l**3 - 35520*l**2 + 119200*l - 4000.
-2*(l - 10)**3*(59*l - 2)
Suppose 4*n**4/9 + 76*n**3/3 - 80*n**2 = 0. Calculate n.
-60, 0, 3
Find y such that 2*y**4/9 + 2*y**3/9 - 2*y**2/9 - 2*y/9 = 0.
-1, 0, 1
Factor -i**5/3 + 38*i**4/3 + 206*i**3/3 + 380*i**2/3 + 299*i/3 + 86/3.
-(i - 43)*(i + 1)**3*(i + 2)/3
Factor -2*v**3/7 - 124*v**2/7 + 2*v/7 + 124/7.
-2*(v - 1)*(v + 1)*(v + 62)/7
Factor 3*x**5 + 3*x**4 - 42*x**3 - 72*x**2.
3*x**2*(x - 4)*(x + 2)*(x + 3)
Factor y**3 - 17*y**2 + 44*y - 28.
(y - 14)*(y - 2)*(y - 1)
Determine k, given that 52*k**3 + 100*k**2 + 48*k = 0.
-1, -12/13, 0
Factor 3*v**2 - 10224*v + 8710848.
3*(v - 1704)**2
Determine k, given that 2*k**2/15 - 34*k/5 + 376/15 = 0.
4, 47
Factor -i**2 + 40*i + 41.
-(i - 41)*(i + 1)
Suppose -2*u**2/17 - 12652*u/17 - 20009138/17 = 0. What is u?
-3163
Factor d**4/3 + 11*d**3/3 - d**2 - 35*d/3 - 22/3.
(d - 2)*(d + 1)**2*(d + 11)/3
Factor -x**4/2 + 12*x**3 + 236*x**2 + 1104*x + 1368.
-(x - 38)*(x + 2)*(x + 6)**2/2
Suppose -5*r**2 - 140*r - 980 = 0. What is r?
-14
Find k, given that 3*k**4 - 9*k**3 - 72*k**2 + 240*k = 0.
-5, 0, 4
Factor b**3/9 + b**2/3 + 2*b/9.
b*(b + 1)*(b + 2)/9
Factor 3*r**2/4 - 717*r/4 - 723/2.
3*(r - 241)*(r + 2)/4
Factor -3*l**2/5 - 39*l/5 + 144/5.
-3*(l - 3)*(l + 16)/5
Determine a so that -3*a**3 - 4077*a**2 - 8145*a - 4071 = 0.
-1357, -1
Factor -2*x**5 + 6*x**4 - 4*x**3.
-2*x**3*(x - 2)*(x - 1)
Factor -5*q**2 + 990*q - 49005.
-5*(q - 99)**2
Solve 3*q**3/4 + 135*q**2/2 - 3*q/4 - 135/2 = 0.
-90, -1, 1
Determine m so that 2*m**3/11 + 26*m**2/11 + 60*m/11 = 0.
-10, -3, 0
Factor -5*s**2 + 1020*s - 52020.
-5*(s - 102)**2
Find f, given that f**2/5 + 84*f/5 = 0.
-84, 0
Factor -a**2/4 + 43*a/2 + 455/4.
-(a - 91)*(a + 5)/4
Factor -4*f**3 - 1980*f**2 - 326700*f - 17968500.
-4*(f + 165)**3
Factor 3*n**4 + 3*n**3 - 36*n**2 - 84*n - 48.
3*(n - 4)*(n + 1)*(n + 2)**2
Factor 15*q**2 - 66*q + 24.
3*(q - 4)*(5*q - 2)
Factor v**3/5 + 13*v**2/5 - 29*v/5 + 3.
(v - 1)**2*(v + 15)/5
Factor 2*s**2 - 18*s - 20.
2*(s - 10)*(s + 1)
Solve -r**4 + 28*r**3 - 132*r**2 = 0.
0, 6, 22
Factor 4*f**3 - 16*f.
4*f*(f - 2)*(f + 2)
Find f such that 6*f**5/7 - 4*f**4 + 34*f**3/7 + 12*f**2/7 - 40*f/7 + 16/7 = 0.
-1, 2/3, 1, 2
Factor -15*l**3 - 392*l**2 - 2587*l - 338.
-(l + 13)**2*(15*l + 2)
Let 5*z**5 - 655*z**4 - 1325*z**3 - 665*z**2 = 0. Calculate z.
-1, 0, 133
Factor -2*o**2/13 + 6*o/13 - 4/13.
-2*(o - 2)*(o - 1)/13
Factor -3*v**2/5 - 816*v/5 - 2421/5.
-3*(v + 3)*(v + 269)/5
Factor 4*v**2 + 892*v - 896.
4*(v - 1)*(v + 224)
Suppose 2*f**5/7 - 20*f**4/7 + 58*f**3/7 - 16*f**2/7 - 96*f/7 = 0. Calculate f.
-1, 0, 3, 4
Factor g**5 - 2*g**4 - 9*g**3 + 18*g**2.
g**2*(g - 3)*(g - 2)*(g + 3)
Let -a**2/8 + 203*a/8 = 0. What is a?
0, 203
Suppose -7*g**4 + 12*g**3 - 3*g**2 - 2*g = 0. Calculate g.
-2/7, 0, 1
Factor 2*q**3 - 220*q**2/7 - 568*q/7 - 144/7.
2*(q - 18)*(q + 2)*(7*q + 2)/7
Suppose -4*x**5/7 + 18*x**4/7 - 2*x**3 - 12*x**2/7 = 0. What is x?
-1/2, 0, 2, 3
Find x, given that -5*x**5 - 5*x**4 + 30*x**3 + 20*x**2 - 40*x = 0.
-2, 0, 1, 2
Determine l so that 2*l**2/5 + 156*l/5 - 558 = 0.
-93, 15
Suppose w**5/4 + w**4/2 - 7*w**3/4 - 2*w**2 + 3*w = 0. What is w?
-3, -2, 0, 1, 2
Suppose 2*t**2 - 8169*t + 4084 = 0. Calculate t.
1/2, 4084
Solve -33*o**3/4 - 263*o**2/2 - 520*o + 32 = 0 for o.
-8, 2/33
Factor -y**2 + 394*y - 2709.
-(y - 387)*(y - 7)
Let -4*t**5 + 44*t**4 - 124*t**3 + 68*t**2 + 128*t - 112 = 0. What is t?
-1, 1, 2, 7
Determine z, given that -4*z**2 + 20*z + 56 = 0.
-2, 7
Let 2*c**2/11 - 36*c/11 = 0. What is c?
0, 18
Suppose 12*i**2/5 + 2558*i/5 + 426/5 = 0. Calculate i.
-213, -1/6
Suppose 33*c**5 + 144*c**4 + 246*c**3 + 204*c**2 + 81*c + 12 = 0. What is c?
-1, -4/11
Factor -2*v**3/15 - 2*v**2/3 + 28*v/15.
-2*v*(v - 2)*(v + 7)/15
Determine t so that 9*t**4/5 - 30*t**3 - 12*t**2 + 30*t + 51/5 = 0.
-1, -1/3, 1, 17
Let 4*a**4/7 - 16*a**3/7 - 60*a**2/7 + 72*a/7 = 0. Calculate a.
-3, 0, 1, 6
Solve l**3/2 + 14*l**2 + 169*l/2 - 99 = 0.
-18, -11, 1
Let n**2/3 - 17*n/3 - 740/3 = 0. Calculate n.
-20, 37
Factor -4*o**4 + 4*o**3 + 8*o**2.
-4*o**2*(o - 2)*(o + 1)
Find p, given that -2*p**4/3 - 46*p**3/3 - 112*p**2/3 + 184*p/3 + 160 = 0.
-20, -3, -2, 2
Solve 2*v**5 + 44*v**4 + 278*v**3 + 356*v**2 - 280*v - 400 = 0.
-10, -2, -1, 1
Factor -b**2/4 - 144*b - 20736.
-(b + 288)**2/4
Determine g so that -4*g**4 + 44*g**3 - 92*g**2 - 44*g + 96 = 0.
-1, 1, 3, 8
Factor 2*s**4/9 - 4*s**3/9 + 4*s/9 - 2/9.
2*(s - 1)**3*(s + 1)/9
Factor 3*m**5 - 21*m**4 + 24*m**3 + 48*m**2.
3*m**2*(m - 4)**2*(m + 1)
Factor 4*v**4 + 4*v**3 - 12*v**2 - 20*v - 8.
4*(v - 2)*(v + 1)**3
Factor 5*b**4 - 15*b**3 - 10*b**2 + 60*b - 40.
5*(b - 2)**2*(b - 1)*(b + 2)
Solve -16*g**5 + 260*g**4 - 1568*g**3 + 4216*g**2 - 4560*g + 900 = 0.
1/4, 3, 5
Let -k**5/3 - 155*k**4/3 + 2*k**3/3 + 310*k**2/3 - k/3 - 155/3 = 0. Calculate k.
-155, -1, 1
Solve -28*o**4/9 - 13*o**3 + 43*o**2/9 + 131*o/3 - 11 = 0.
-3, 1/4, 11/7
Factor -4*d**2 + 192*d - 2304.
-4*(d - 24)**2
Factor o**5/2 + 71*o**4 - 216*o**3 + 217*o**2 - 145*o/2.
o*(o - 1)**3*(o + 145)/2
Find i, given that 100*i**5/7 + 130*i**4/7 - 94*i**3/7 - 16*i**2 - 24*i/7 = 0.
-3/2, -2/5, 0, 1
Let l**5/2 - 6*l**4 - 75*l**3/2 + 341*l**2 + 1452*l = 0. What is l?
-6, -4, 0, 11
Find p such that 4*p**4 + 5*p**3 - 55*p**2 - 110*p - 24 = 0.
-3, -2, -1/4, 4
Factor -p**3/8 - p**2 - 11*p/8 + 5/2.
-(p - 1)*(p + 4)*(p + 5)/8
Solve -c**5/2 - 7*c**4/2 + c**3/2 + 67*c**2/2 + 30*c = 0.
-5, -4, -1, 0, 3
Factor -9*q**2 + 915*q - 1794.
-3*(q - 2)*(3*q - 299)
Factor -198*g**3/7 + 598*g**2/21 - 4*g/21.
-2*g*(g - 1)*(297*g - 2)/21
Factor 3*j**3 + 18*j**2 + 15*j.
3*j*(j + 1)*(j + 5)
Let -2*w**4/5 + 82*w**3/5 - 586*w**2/5 - 5842*w/5 + 6348/5 = 0. What is w?
-6, 1, 23
Determine p so that -3*p**3/5 + 21*p**2/5 - 6*p/5 - 24 = 0.
-2, 4, 5
Factor -3*t**3/7 - 87*t**2/7 - 153*t/7 + 243/7.
-3*(t - 1)*(t + 3)*(t + 27)/7
Let -2*i**2/13 - 94*i/13 - 180/13 = 0. Calculate i.
-45, -2
Find r such that -3*r**2 + 5451*r - 10890 = 0.
2, 1815
Factor i**2/2 - 51*i.
i*(i - 102)/2
Factor -2*j**2 - 24*j + 26.
-2*(j - 1)*(j + 13)
Find x, given that -5*x**2 - 10*x + 15 = 0.
-3, 1
Factor -3*m**3/7 - 717*m**2/7 - 1425*m/7 - 711/7.
-3*(m + 1)**2*(m + 237)/7
Factor 2*m**3/7 - 10*m**2/7 + 12*m/7.
2*m*(m - 3)*(m - 2)/7
Suppose 4*d**5/9 - 4*d**4/3 - 44*d**3/9 + 4*d**2/3 + 40*d/9 = 0. Calculate d.
-2, -1, 0, 1, 5
Factor 4*x**3 + 152*x**2 + 404*x - 560.
4*(x - 1)*(x + 4)*(x + 35)
Find g, given that -5*g**2 + 1775*g - 3530 = 0.
2, 353
Determine b, given that 30*b**5 - 574*b**4 + 2986*b**3 - 1738*b**2 - 4680*b + 648 = 0.
-1, 2/15, 2, 9
What is m in -2*m**3 - 240*m**2 - 934*m - 696 = 0?
-116, -3, -1
Solve -u**2/3 - 196*u - 28812 = 0.
-294
Factor -2*q**5/19 - 164*q**4/19 - 230*q**3 - 34664*q**2/19 + 83104*q/19 - 43904/19.
-2*(q - 1)**2*(q + 28)**3/19
Factor -p**4/3 + 17*p**3/3 + 37*p**2/3 + 19*p/3.
-p*(p - 19)*(p + 1)**2/3
Factor 2*i**4/7 + 38*i**3/7 + 36*i**2/7.
2*i**2*(i + 1)*(i + 18)/7
What is i in 28*i**3 + 232*i**2 + 400*i + 96 = 0?
-6, -2, -2/7
Find v, given that 8*v**5/5 + 206*v**4/5 - 252*v**3 + 1294*v**2/5 - 248*v/5 = 0.
-31, 0, 1/4, 1, 4
Factor 2*b**5 + 18*b**4 + 52*b**3 + 68*b**2 + 42*b + 10.
2*(b + 1)**4*(b + 5)
Factor -3*g**2/2 - 783*g/2 + 393.
-3*(g - 1)*(g + 262)/2
Solve 2*n**3 + 20*n**2 - 26*n - 44 = 0 for n.
-11, -1, 2
Factor a**4/2 + 5*a**3 - 19*a*