q + 10)
Factor 4*v**4 + 40*v**3 - 12*v**2 - 560*v + 784.
4*(v - 2)**2*(v + 7)**2
Determine j so that 2*j**4/19 - 230*j**3/19 + 226*j**2/19 + 230*j/19 - 12 = 0.
-1, 1, 114
Solve 4*p**4 - 36*p**3 + 96*p**2 - 64*p = 0.
0, 1, 4
Factor -5*q**2 - 160*q + 340.
-5*(q - 2)*(q + 34)
What is t in -t**4/11 + 169*t**2/11 = 0?
-13, 0, 13
What is i in -2*i**3/7 + 158*i**2/7 - 3198*i/7 + 3042/7 = 0?
1, 39
Factor -3*g**5/8 - 159*g**4/8 - 246*g**3 - 888*g**2.
-3*g**2*(g + 8)**2*(g + 37)/8
Let w**3 + 8*w**2 + 15*w = 0. Calculate w.
-5, -3, 0
Factor 4*h**3 + 260*h**2 - 7172*h + 42108.
4*(h - 11)**2*(h + 87)
Factor -20*b**2 - 3095*b + 775.
-5*(b + 155)*(4*b - 1)
Factor -2*i**3/15 - 4*i**2/15.
-2*i**2*(i + 2)/15
Determine d, given that 612*d**5/5 - 1956*d**4/5 + 1587*d**3/5 - 249*d**2/5 + 6*d/5 = 0.
0, 1/34, 1/6, 1, 2
Determine t so that 2*t**4 + 802*t**3 + 78370*t**2 - 407218*t + 494508 = 0.
-203, 2, 3
Factor m**2/4 + 53*m/2 - 107/4.
(m - 1)*(m + 107)/4
Let 15*o**5/7 + 3099*o**4/7 + 4923*o**3/7 + 87*o**2 - 1230*o/7 = 0. What is o?
-205, -1, 0, 2/5
Factor 2*i**3 + 14*i**2 + 28*i + 16.
2*(i + 1)*(i + 2)*(i + 4)
Solve 3*i**4 + 15*i**3 - 48*i**2 - 204*i - 144 = 0 for i.
-6, -2, -1, 4
Suppose -u**4 + 113*u**3 - 110*u**2 - 224*u = 0. What is u?
-1, 0, 2, 112
Factor 5*s**5 - 1875*s**4 + 234375*s**3 - 9765625*s**2.
5*s**2*(s - 125)**3
Find a, given that -a**2/6 - a + 7/6 = 0.
-7, 1
Determine j, given that 50*j**2/7 + 1880*j/7 + 17672/7 = 0.
-94/5
Suppose d**4/4 - d**3/4 - 13*d**2/4 + d/4 + 3 = 0. What is d?
-3, -1, 1, 4
Factor 10*y**3 + 5695*y**2 - 14315*y - 8580.
5*(y - 3)*(y + 572)*(2*y + 1)
Let -2*s**2 - 832*s - 86528 = 0. Calculate s.
-208
Solve 3*c**2/8 + 69*c/4 + 135/8 = 0.
-45, -1
Factor v**4 - 3*v**2 + 2*v.
v*(v - 1)**2*(v + 2)
Suppose -i**2 - 259*i + 786 = 0. What is i?
-262, 3
Factor -b**3 + 47*b**2 - 87*b - 135.
-(b - 45)*(b - 3)*(b + 1)
Factor l**5 + 1690*l**4 + 719077*l**3 + 4268940*l**2 + 6380676*l.
l*(l + 3)**2*(l + 842)**2
Factor 3*i**2 + 36*i + 33.
3*(i + 1)*(i + 11)
Suppose -5*p**3/3 + 113*p**2/3 + 46*p/3 = 0. What is p?
-2/5, 0, 23
What is h in -7*h**3/5 - 583*h**2/5 + 328*h + 516/5 = 0?
-86, -2/7, 3
Solve -4*a**4/3 + 32*a**3/3 + 20*a**2 - 72*a = 0.
-3, 0, 2, 9
Solve 2*s**3/9 - 184*s**2/9 + 4042*s/9 + 8836/9 = 0 for s.
-2, 47
Let -3*d**4 + 93*d**3 - 732*d**2 + 1332*d + 2160 = 0. What is d?
-1, 6, 20
Suppose 14*a**5/3 - 92*a**4 + 1684*a**3/3 - 2240*a**2/3 - 1862*a - 1372/3 = 0. What is a?
-1, -2/7, 7
Let -r**5/3 + r**4/3 + 25*r**3 - 325*r**2/3 + 250*r/3 = 0. Calculate r.
-10, 0, 1, 5
Factor -3*t**5 - 9*t**4 + 27*t**3 - 15*t**2.
-3*t**2*(t - 1)**2*(t + 5)
Factor -2*n**3 + 2*n**2 + 48*n + 72.
-2*(n - 6)*(n + 2)*(n + 3)
Factor 11*v**5 + 20*v**4 - 4*v**3 - 22*v**2 - 7*v + 2.
(v - 1)*(v + 1)**3*(11*v - 2)
Solve 4*i**4 + 28*i**3 + 44*i**2 - 28*i - 48 = 0.
-4, -3, -1, 1
Determine r, given that r**5/5 + 44*r**4/5 + 87*r**3 = 0.
-29, -15, 0
Factor -s**4 + 14*s**3 - 59*s**2 + 70*s.
-s*(s - 7)*(s - 5)*(s - 2)
Determine i so that -3*i**4 + 33*i**3 - 69*i**2 - 33*i + 72 = 0.
-1, 1, 3, 8
Factor 44*z**3/21 - 338*z**2/7 + 46*z/21.
2*z*(z - 23)*(22*z - 1)/21
Factor 2*o**3/3 - 34*o**2/3 + 42*o + 54.
2*(o - 9)**2*(o + 1)/3
Factor a**3 - 64*a**2 + 121*a + 186.
(a - 62)*(a - 3)*(a + 1)
Factor -2*x**2/9 - 46*x/3 + 140/9.
-2*(x - 1)*(x + 70)/9
Let -i**5 + 4*i**3 + 2*i**2 - 3*i - 2 = 0. What is i?
-1, 1, 2
Find c, given that -8*c**4 - 12*c**3 + 76*c**2 - 24*c - 32 = 0.
-4, -1/2, 1, 2
Suppose 2*d**3 + 86*d**2 - 92*d - 176 = 0. Calculate d.
-44, -1, 2
Find d such that -4*d**3/3 - 112*d**2 + 228*d - 344/3 = 0.
-86, 1
Let -390*g**3/7 + 24*g**2/7 + 72*g/7 = 0. What is g?
-2/5, 0, 6/13
Factor 4*q**3/3 - 8*q**2/3 - 628*q/3 - 616/3.
4*(q - 14)*(q + 1)*(q + 11)/3
Factor y**3 + 5*y**2 - 6*y.
y*(y - 1)*(y + 6)
Solve -8*y**5/3 - 122*y**4/3 - 454*y**3/3 - 274*y**2/3 + 226*y + 60 = 0 for y.
-10, -3, -1/4, 1
Suppose -5*t**2 - 3480*t - 605520 = 0. Calculate t.
-348
Let 49*g**5/2 + 119*g**4/2 - 481*g**3 + 258*g**2 - 36*g = 0. Calculate g.
-6, 0, 2/7, 3
Factor -2*b**2/5 + 456*b/5 - 270.
-2*(b - 225)*(b - 3)/5
Factor -3*t**5 - 48*t**4 - 255*t**3 - 450*t**2.
-3*t**2*(t + 5)**2*(t + 6)
Factor -2*j**3 + 3774*j**2 - 2373846*j + 497716378.
-2*(j - 629)**3
Factor -2*n**2/11 + 304*n/11 + 306/11.
-2*(n - 153)*(n + 1)/11
What is s in 12*s**5 - 32*s**4 - 12*s**3 + 48*s**2 + 16*s = 0?
-1, -1/3, 0, 2
Factor -21*h**2 - 39*h + 72.
-3*(h + 3)*(7*h - 8)
Factor 4*l**4 - 8*l**3 - 76*l**2 + 80*l.
4*l*(l - 5)*(l - 1)*(l + 4)
Factor -y**4/3 - 4*y**3/3 + 4*y**2/3 + 16*y/3.
-y*(y - 2)*(y + 2)*(y + 4)/3
Factor w**3/2 + 77*w**2 + 5929*w/2.
w*(w + 77)**2/2
Factor -x**3/5 + 3*x**2/5 + 18*x/5 - 8.
-(x - 5)*(x - 2)*(x + 4)/5
Determine j so that -5*j**3 + 100*j**2 - 465*j + 630 = 0.
3, 14
Solve a**3/3 + 55*a**2/6 + 79*a/6 + 13/3 = 0.
-26, -1, -1/2
Factor d**5 + 4*d**4 - 8*d**3 - 64*d**2 - 112*d - 64.
(d - 4)*(d + 2)**4
Suppose 3*k**4/7 - 12*k**3/7 - 39*k**2/7 + 192*k/7 - 144/7 = 0. Calculate k.
-4, 1, 3, 4
Suppose 2*i**3 + 120*i**2 - 248*i = 0. Calculate i.
-62, 0, 2
Find h, given that -3*h**5/5 - 24*h**4/5 - 39*h**3/5 + 78*h**2/5 + 192*h/5 + 96/5 = 0.
-4, -1, 2
Factor -7*w**4 - 2*w**3 + 7*w**2 + 2*w.
-w*(w - 1)*(w + 1)*(7*w + 2)
Factor -2*q**2/3 - 466*q/3.
-2*q*(q + 233)/3
Determine i, given that -2*i**2/3 - 46*i/3 + 280/3 = 0.
-28, 5
Factor 4*u**2/5 - 16*u + 76/5.
4*(u - 19)*(u - 1)/5
Factor -4*u**2 + 596*u + 600.
-4*(u - 150)*(u + 1)
Solve r**2/7 + 4*r/7 + 3/7 = 0.
-3, -1
Let -3*m**2/8 - 2913*m/4 - 5823/8 = 0. What is m?
-1941, -1
Factor -57*p**3 - 344*p**2/3 - 4*p/3.
-p*(p + 2)*(171*p + 2)/3
Factor -a**3/2 - 1035*a**2/2 - 357075*a/2 - 41063625/2.
-(a + 345)**3/2
What is j in 75*j**3 + 205*j**2 + 70*j = 0?
-7/3, -2/5, 0
Factor -u**5/5 + u**4/5 + 11*u**3/5 - 29*u**2/5 + 26*u/5 - 8/5.
-(u - 2)*(u - 1)**3*(u + 4)/5
Let 4*f**5 - 100*f**4 - 228*f**3 + 308*f**2 + 448*f - 432 = 0. What is f?
-2, 1, 27
Factor p**2/5 + 133*p/5 - 54.
(p - 2)*(p + 135)/5
Let -5*g**5 + 10*g**4 + 25*g**3 - 30*g**2 = 0. Calculate g.
-2, 0, 1, 3
Let 3*a**3 + 1779*a**2 + 266385*a + 783225 = 0. Calculate a.
-295, -3
Find j such that -166*j**2/3 - 54*j + 4/3 = 0.
-1, 2/83
Factor 3*p**2/7 - 1506*p/7 + 189003/7.
3*(p - 251)**2/7
Factor 4*v**4/3 - 4*v**2/3.
4*v**2*(v - 1)*(v + 1)/3
Factor -4*o**2 - 2564*o - 2560.
-4*(o + 1)*(o + 640)
Find c, given that 2*c**2/17 - 18*c/17 + 36/17 = 0.
3, 6
Find b such that 9*b**4 - 15*b**3 - 69*b**2 - 57*b - 12 = 0.
-1, -1/3, 4
Factor -5*d**5 + 40*d**4 - 65*d**3 + 30*d**2.
-5*d**2*(d - 6)*(d - 1)**2
Factor -2*p**4/3 + 10*p**3 - 18*p**2 - 162*p.
-2*p*(p - 9)**2*(p + 3)/3
Find f, given that 3*f**5 + 66*f**4 - 72*f**3 - 66*f**2 + 69*f = 0.
-23, -1, 0, 1
Factor 5*g**2 - 175*g + 170.
5*(g - 34)*(g - 1)
Factor -a**5 + 2*a**4 + 8*a**3 - 16*a**2 - 16*a + 32.
-(a - 2)**3*(a + 2)**2
Factor w**4 + 4*w**3 - 11*w**2 + 6*w.
w*(w - 1)**2*(w + 6)
Factor 2*h**5 + 10*h**4 - 8*h**3 - 40*h**2.
2*h**2*(h - 2)*(h + 2)*(h + 5)
Let -2*p**5 + 3*p**4 + 44*p**3 + 57*p**2 + 18*p = 0. Calculate p.
-3, -1, -1/2, 0, 6
Factor -p**2/2 - p/2 + 3.
-(p - 2)*(p + 3)/2
Solve 93*t**4 - 87*t**3 - 192*t**2 - 12*t = 0 for t.
-1, -2/31, 0, 2
Solve 48*t**5/7 + 4*t**4/7 - 24*t**3/7 = 0.
-3/4, 0, 2/3
Factor 2*p**2/3 - 74*p/3 + 24.
2*(p - 36)*(p - 1)/3
Suppose -5*t**3 + 10145*t**2 - 5130800*t - 15483840 = 0. What is t?
-3, 1016
Factor p**2 - 12*p + 27.
(p - 9)*(p - 3)
Factor 975*f**3 + 3888*f**2 + 3852*f - 48.
3*(f + 2)**2*(325*f - 4)
Factor -3*p**3/4 + 69*p**2/4 - 63*p/2.
-3*p*(p - 21)*(p - 2)/4
Solve 4*l**5 - 24*l**4 - 352*l**3 - 1216*l**2 - 1728*l - 896 = 0.
-2, 14
Let 2*v**5/9 + 8*v**4/3 - 52*v**3/3 + 232*v**2/9 - 34*v/3 = 0. What is v?
-17, 0, 1, 3
Solve -d**5/2 + 3*d**4/2 - 3*d**3/2 + d**2/2 = 0.
0, 1
Factor -5*s**4 + 260*s**3 + 535*s**2 + 270*s.
-5*s*(s - 54)*(s + 1)**2
Factor 8*c**5 + 28*c**4 + 32*c**3 + 8*c**2 - 8*c - 4.
4*(c + 1)**4*(2*c - 1)
Factor -5*g**3 - 413*g**2/9 - 68*g/9 + 4.
-(g + 9)*(5*g + 2)*(9*g - 2)/9
Determine z, given that -2*z**5/15 + 4*z**4/5 - 26*z**3/15 + 8*z**2/5 - 8*z/15 = 0.
0, 1, 2
Solve 2*p**3/5 - 174*p**2/5 + 774*p - 3698/5 = 0.
1, 43
Factor -z**3/4 - 495*z**2/4 - 61503*z/4 - 61009/4.
-(z + 1)*(z + 247)**2/4
Determine w, given that 15*w**3 - 20*w**2 - 25*w + 10 = 0.
-1, 1/3, 2
Factor f**4/4 + 43*f**3/2 - 113*f**2 + 141*f/2 + 819/4.
(