16*g - 118 = 0. Calculate g.
-1, 1, 59
Factor j**4 - j**3/3 - 8*j**2/3 - 4*j/3.
j*(j - 2)*(j + 1)*(3*j + 2)/3
Suppose -6*z**4 + 50*z**3 + 14*z**2 - 514*z + 168 = 0. What is z?
-3, 1/3, 4, 7
Find d such that -d**3/3 + d**2 + d/3 - 1 = 0.
-1, 1, 3
Find u, given that -3*u**5 - 21*u**4 + 84*u**3 - 60*u**2 = 0.
-10, 0, 1, 2
Solve -65*h**3 + 335*h**2 - 310*h + 40 = 0 for h.
2/13, 1, 4
Find g such that -40*g**4 - 658*g**3 - 2850*g**2 - 1184*g - 128 = 0.
-8, -1/4, -1/5
Factor 3*t**2/4 - 225*t/4 - 237.
3*(t - 79)*(t + 4)/4
Let -b**5 + 55*b**4 - 209*b**3 + 257*b**2 - 102*b = 0. Calculate b.
0, 1, 2, 51
Suppose 2*a**5/17 - 28*a**4/17 + 60*a**3/17 + 88*a**2/17 - 254*a/17 + 132/17 = 0. What is a?
-2, 1, 3, 11
Factor -2*s**4 - 694*s**3 + 2094*s**2 - 2098*s + 700.
-2*(s - 1)**3*(s + 350)
Factor 5*h**4 + 90*h**3 + 305*h**2 - 900*h + 500.
5*(h - 1)**2*(h + 10)**2
Let 4*a**5 - 8*a**4 - 16*a**3 + 8*a**2 + 12*a = 0. What is a?
-1, 0, 1, 3
Suppose -2*z**2 - 3596*z + 3598 = 0. Calculate z.
-1799, 1
Factor 4*q**4/7 + 184*q**3/7 - 580*q**2/7 + 56*q.
4*q*(q - 2)*(q - 1)*(q + 49)/7
Factor -4*q**3 + 8*q**2 + 36*q - 72.
-4*(q - 3)*(q - 2)*(q + 3)
Suppose -3*g**5 + 3*g**4 + 21*g**3 - 3*g**2 - 18*g = 0. Calculate g.
-2, -1, 0, 1, 3
Factor w**2 - 33*w - 190.
(w - 38)*(w + 5)
Solve 3*b**4 - 21*b**3 + 51*b**2 - 51*b + 18 = 0 for b.
1, 2, 3
Find o such that 75*o**5 - 840*o**4 + 2667*o**3 - 1194*o**2 - 2460*o - 600 = 0.
-2/5, 2, 5
Determine g, given that -2*g**2/15 + 6*g/5 - 12/5 = 0.
3, 6
Find w such that -16*w**4 + 128*w**3 - 308*w**2 + 196*w = 0.
0, 1, 7/2
Factor -2*m**4/17 - 936*m**3/17 - 2796*m**2/17 - 2792*m/17 - 930/17.
-2*(m + 1)**3*(m + 465)/17
Find j, given that 20*j**5/19 + 22*j**4/19 - 18*j**3/19 - 22*j**2/19 - 2*j/19 = 0.
-1, -1/10, 0, 1
Factor -b**3 - 3*b**2 + 25*b - 21.
-(b - 3)*(b - 1)*(b + 7)
Solve -2*h**5/21 - 6*h**4/7 - 4*h**3/3 + 4*h**2/21 + 10*h/7 + 2/3 = 0.
-7, -1, 1
Factor 4*i**2 - 292*i + 288.
4*(i - 72)*(i - 1)
Find d such that -2*d**3/15 + 6*d**2 + 2*d/15 - 6 = 0.
-1, 1, 45
Suppose -y**3 + 47*y**2 = 0. What is y?
0, 47
Find r such that -68*r**2/7 + 24*r/7 = 0.
0, 6/17
Solve -2*n**5/9 - 128*n**4/9 - 2336*n**3/9 - 256*n**2 + 18432*n - 49152 = 0 for n.
-24, 4
Factor 2*u**2/3 + 240*u + 718/3.
2*(u + 1)*(u + 359)/3
Factor 5*n**2 + 140*n - 145.
5*(n - 1)*(n + 29)
Factor 40*y**3 + 31*y**2 - 19*y - 10.
(y + 1)*(5*y + 2)*(8*y - 5)
Factor 45*i**4 - 350*i**3 + 740*i**2 - 610*i + 175.
5*(i - 5)*(i - 1)**2*(9*i - 7)
Solve -4*o**4/5 + 32*o**3/5 + 1592*o**2/5 + 576*o - 900 = 0.
-15, -3, 1, 25
Suppose 3*g**4/4 + 3*g**3 - 21*g**2/4 - 51*g/2 - 18 = 0. What is g?
-4, -2, -1, 3
Factor 3*h**2/7 + 69*h/7 + 66/7.
3*(h + 1)*(h + 22)/7
Factor -2*w**2/13 - 30*w/13 - 28/13.
-2*(w + 1)*(w + 14)/13
Factor 2*a**5/7 + 48*a**4/7 + 90*a**3/7 + 44*a**2/7.
2*a**2*(a + 1)**2*(a + 22)/7
Determine r, given that 2*r**5 - 16*r**4 + 24*r**3 + 4*r**2 - 26*r + 12 = 0.
-1, 1, 6
Factor 5*o**2 + 40*o - 900.
5*(o - 10)*(o + 18)
Factor -g**3/2 - 441*g**2 - 129654*g - 12706092.
-(g + 294)**3/2
Factor -3*b**3/8 - 231*b**2/8 - 84*b - 111/2.
-3*(b + 1)*(b + 2)*(b + 74)/8
Find t, given that 5*t**3 - 110*t**2 + 125*t + 1500 = 0.
-3, 5, 20
Determine r so that -2*r**3/3 + 44*r**2/9 + 166*r/9 - 20/3 = 0.
-3, 1/3, 10
Let 4*q**3 + 492*q**2 - 1504*q + 1008 = 0. What is q?
-126, 1, 2
Solve 4*s**3/11 + 2*s**2 + 10*s/11 = 0.
-5, -1/2, 0
Let -2*x**4 + 5*x**3 + 38*x**2 + 28*x - 24 = 0. What is x?
-2, 1/2, 6
Factor 5*j**5 - 20*j**4 + 25*j**3 - 10*j**2.
5*j**2*(j - 2)*(j - 1)**2
Suppose 5*q**4 - 10*q**3 - 95*q**2 - 140*q - 60 = 0. What is q?
-2, -1, 6
Factor i**2 - 6*i - 91.
(i - 13)*(i + 7)
Determine z so that 12*z**5 + 63*z**4 + 111*z**3 + 72*z**2 + 12*z = 0.
-2, -1, -1/4, 0
Factor -5*n**3 + 15*n**2 - 10*n.
-5*n*(n - 2)*(n - 1)
Factor p**4/5 - 74*p**3/5 + 1297*p**2/5 - 2376*p/5 + 1152/5.
(p - 48)*(p - 24)*(p - 1)**2/5
Suppose -7*c**5/2 + 47*c**4/2 - 91*c**3/2 + 33*c**2/2 + 9*c = 0. What is c?
-2/7, 0, 1, 3
Suppose 6*g**2 - 26*g - 20 = 0. What is g?
-2/3, 5
Find a such that -3*a**2 - 54*a + 120 = 0.
-20, 2
Find n such that -2*n**5 - 3*n**4 + 9*n**3 - n**2 - 3*n = 0.
-3, -1/2, 0, 1
Factor -v**2 + 23*v - 22.
-(v - 22)*(v - 1)
Let u**4/5 - 192*u**3/5 + 13824*u**2/5 - 442368*u/5 + 5308416/5 = 0. What is u?
48
Factor o**3/3 + 2*o**2.
o**2*(o + 6)/3
Factor -a**2/8 - 23*a/8 - 11/4.
-(a + 1)*(a + 22)/8
Let -4*s**4 - 12*s**3 + 3588*s**2 + 64220*s + 316368 = 0. Calculate s.
-13, 36
Factor 2*s**4 - 18*s**3 + 48*s**2 - 40*s.
2*s*(s - 5)*(s - 2)**2
Factor -h**3/4 + 5*h**2/2 - 19*h/4 - 15/2.
-(h - 6)*(h - 5)*(h + 1)/4
Factor -3*o**4/2 - 111*o**3 - 219*o**2/2.
-3*o**2*(o + 1)*(o + 73)/2
Determine v, given that 9*v**4 + 1788*v**3 - 6027*v**2 + 6654*v - 2424 = 0.
-202, 1, 4/3
Find r such that 4*r**4 + 60*r**3 - 292*r**2 + 228*r = 0.
-19, 0, 1, 3
Suppose 4*n**3 - 780*n**2 + 4556*n - 3780 = 0. What is n?
1, 5, 189
Factor -3*f**5 - 15*f**4 - 30*f**3 - 30*f**2 - 15*f - 3.
-3*(f + 1)**5
Factor 5*f**4 - 10*f**3 - 60*f**2 - 70*f - 25.
5*(f - 5)*(f + 1)**3
Factor -9*a**3 - 291*a**2 + 1530*a - 888.
-3*(a - 4)*(a + 37)*(3*a - 2)
Find c such that 4*c**3/7 - 156*c/7 - 40 = 0.
-5, -2, 7
What is j in -j**2/7 + 6*j/7 - 8/7 = 0?
2, 4
Solve -2*s**3/5 + 14*s/5 - 12/5 = 0.
-3, 1, 2
Factor i**3/6 - i**2/6 - 7*i/2 + 15/2.
(i - 3)**2*(i + 5)/6
Let -15*s**3 + 100*s**2 - 145*s - 60 = 0. Calculate s.
-1/3, 3, 4
Find t, given that -2*t**5 + 40*t**4 - 26*t**3 - 236*t**2 + 136*t + 304 = 0.
-2, -1, 2, 19
Factor 10*t**4 + 14*t**3 - 116*t**2 - 48*t.
2*t*(t - 3)*(t + 4)*(5*t + 2)
Let -5*i**2 - 230*i - 2645 = 0. What is i?
-23
Determine f so that -5*f**5 - 285*f**4 - 5270*f**3 - 33510*f**2 - 52325*f - 23805 = 0.
-23, -9, -1
Factor 4*x**3 - 15900*x**2 + 21067500*x - 9304812500.
4*(x - 1325)**3
Determine z so that 21*z**4 - 573*z**3 - 3072*z**2 - 3108*z + 1152 = 0.
-3, -2, 2/7, 32
Factor -h**4/2 - 15*h**3/2 + 37*h**2/2 + 51*h/2.
-h*(h - 3)*(h + 1)*(h + 17)/2
Determine s, given that -2*s**3/11 + 2*s**2 - 20*s/11 = 0.
0, 1, 10
Suppose 3*j**5/2 - 45*j**4/2 - 30*j**3 + 90*j**2 + 96*j = 0. What is j?
-2, -1, 0, 2, 16
Factor -4*l**2 + 8*l + 12.
-4*(l - 3)*(l + 1)
Solve -3*u**5/8 - 9*u**4/4 + 6*u**3 = 0 for u.
-8, 0, 2
Determine b, given that 3*b**5/7 + 159*b**4/7 - 9*b**3/7 - 69*b**2 - 318*b/7 = 0.
-53, -1, 0, 2
Let -f**2/6 + 76*f/3 - 2888/3 = 0. Calculate f.
76
Let g**5 + 22*g**4 + 179*g**3 + 686*g**2 + 1248*g + 864 = 0. What is g?
-9, -4, -3, -2
Factor 5*z**4 + 165*z**3 - 210*z**2 - 1300*z + 2040.
5*(z - 2)**2*(z + 3)*(z + 34)
Find k such that 4*k**3 - 232*k**2 + 2716*k + 2952 = 0.
-1, 18, 41
Determine p, given that 16*p**2 + 196*p + 48 = 0.
-12, -1/4
Factor -v**4/2 + 20*v**3 - 77*v**2/2 + 19*v.
-v*(v - 38)*(v - 1)**2/2
Let 12*q**4 - 32*q**3 + 24*q**2 - 4 = 0. What is q?
-1/3, 1
Solve -9*q**3 + 588*q**2/5 - 588*q/5 + 144/5 = 0.
2/5, 2/3, 12
Determine x, given that -x**5/4 - 6*x**4 - 99*x**3/4 - 19*x**2 = 0.
-19, -4, -1, 0
Suppose -x**4/5 + 612*x**3/5 + x**2/5 - 612*x/5 = 0. What is x?
-1, 0, 1, 612
What is b in 4*b**5 + 52*b**4 + 188*b**3 + 92*b**2 - 192*b - 144 = 0?
-6, -1, 1
Suppose -2*w**4/7 + 12*w**3 + 526*w**2/7 - 4224*w - 247808/7 = 0. What is w?
-11, 32
Determine a, given that a**5 - 10*a**4 - 11*a**3 = 0.
-1, 0, 11
Factor -h**4/2 + 7*h**3/2 - 17*h**2/2 + 17*h/2 - 3.
-(h - 3)*(h - 2)*(h - 1)**2/2
Factor 5*d**2 + 735*d/2 + 365/2.
5*(d + 73)*(2*d + 1)/2
Solve c**2 - 2471*c/4 - 309/2 = 0.
-1/4, 618
Suppose 14*s**5 - 50*s**4 + 470*s**3/7 - 290*s**2/7 + 80*s/7 - 8/7 = 0. Calculate s.
2/7, 1
Let 2*g**3/11 + 246*g**2/11 - 500*g/11 = 0. What is g?
-125, 0, 2
Factor -4*d**2 + 584*d - 21316.
-4*(d - 73)**2
Factor 9000*r**4 - 5000*r**3 + 570*r**2 + 36*r.
2*r*(10*r - 3)**2*(45*r + 2)
Factor 4*q**3/5 + 328*q**2/5 - 1364*q/5 + 1032/5.
4*(q - 3)*(q - 1)*(q + 86)/5
Suppose h**4/2 + 14*h**3 - 2*h**2 - 56*h = 0. What is h?
-28, -2, 0, 2
Factor 3*t**5 - 174*t**4 + 3420*t**3 - 23826*t**2 + 20577*t.
3*t*(t - 19)**3*(t - 1)
Solve 21*j**5/5 + 39*j**4 - 48*j**3 - 168*j**2 + 624*j/5 + 48 = 0 for j.
-10, -2, -2/7, 1, 2
Solve u**3/2 - 14*u**2 + 77*u/2 - 25 = 0 for u.
1, 2, 25
Solve -y**5 - 20*y**4 - 102*y**3 - 148*y**2 - 65*y = 0.
-13, -5, -1, 0
Factor 5*s**2/12 + s/4 - 2/3.
(s - 1)*(5*s + 8)/12
Determine d, given that 2*d**3 + 20*d**2 + 18*d = 0.
-9, -1, 0
Solve 3*y**4 + 42*y**3 + 216*