g**2 - 3*g = 0. What is g?
-3, 0
Suppose -h**5/7 + 5*h**4/7 + 50*h**3/7 - 90*h**2/7 - 135*h - 189 = 0. What is h?
-3, 7
Factor -c**2 + 10*c + 11.
-(c - 11)*(c + 1)
Determine c so that -c**4 + 109*c**3/4 - 123*c**2/4 - 46*c + 13 = 0.
-1, 1/4, 2, 26
Solve -84*x**5 + 473*x**4 + 114*x**3 - 2136*x**2 - 1952*x - 384 = 0.
-4/3, -3/4, -2/7, 4
Find a, given that 4*a**4 - 43*a**3 - 59*a**2 - 12*a = 0.
-1, -1/4, 0, 12
Determine a, given that -a**3 - 2*a**2 + 5*a + 6 = 0.
-3, -1, 2
Find w, given that 3*w**5/4 + 9*w**4/4 - 3*w**2 = 0.
-2, 0, 1
Find d such that -2*d**3/3 - 98*d**2 - 4802*d - 235298/3 = 0.
-49
Factor 4*v**2 - 1232*v + 94864.
4*(v - 154)**2
Factor 2*u**2/13 + 68*u/13 + 578/13.
2*(u + 17)**2/13
Factor 3*p**2 - 14841*p - 14844.
3*(p - 4948)*(p + 1)
Suppose 2*l**3/7 + 670*l**2/7 + 55094*l/7 - 171366/7 = 0. What is l?
-169, 3
Suppose k**3/7 + 10*k**2/7 - 13*k/7 - 22/7 = 0. What is k?
-11, -1, 2
Suppose -n**3/4 + 1325*n**2/4 - 331*n = 0. Calculate n.
0, 1, 1324
Find s such that 2*s**5/9 + 1066*s**4/9 + 140438*s**3/9 - 427730*s**2/9 + 429872*s/9 - 143648/9 = 0.
-268, 1
Suppose -2*g**2/11 - 6*g/11 = 0. What is g?
-3, 0
Let 663*g**4 - 1311*g**3 + 615*g**2 + 51*g - 18 = 0. What is g?
-3/17, 2/13, 1
Solve 4*x**5/7 - 8*x**4/7 - 20*x**3/7 + 24*x**2/7 = 0 for x.
-2, 0, 1, 3
Factor s**2/4 + 37*s/2 + 213/4.
(s + 3)*(s + 71)/4
Solve -6*l**5 + 2528*l**4 - 3362*l**3 + 840*l**2 = 0.
0, 1/3, 1, 420
Determine j, given that 512*j**2 + 4*j = 0.
-1/128, 0
Find j, given that 35*j**4 - 185*j**3 - 160*j**2 + 60*j = 0.
-1, 0, 2/7, 6
Factor 2*j**3 + 6*j**2 - 20*j.
2*j*(j - 2)*(j + 5)
Let 6*x**2/7 - 416*x/7 + 138/7 = 0. What is x?
1/3, 69
Solve -3*g**5 + 99*g**4 - 861*g**3 + 669*g**2 + 864*g - 768 = 0.
-1, 1, 16
Factor -4*d**3 + 132*d**2 - 1344*d + 3920.
-4*(d - 14)**2*(d - 5)
Factor 3*p**3 - 504*p**2 + 21168*p.
3*p*(p - 84)**2
What is d in d**4/5 - 44*d**3/5 + 484*d**2/5 = 0?
0, 22
Factor -n**2 - 1572*n - 1571.
-(n + 1)*(n + 1571)
Determine d so that -44*d**3 + 115360*d**2 - 75602748*d - 13749768 = 0.
-2/11, 1311
Suppose 4*h**5/7 - 4*h**4/7 - 20*h**3/7 + 20*h**2/7 + 16*h/7 - 16/7 = 0. Calculate h.
-2, -1, 1, 2
Factor 6*x**3 + 2378*x**2 + 236016*x + 78408.
2*(x + 198)**2*(3*x + 1)
Suppose 5*g**5/3 + 136*g**4/3 + 334*g**3 + 1040*g**2/3 + 169*g/3 = 0. Calculate g.
-13, -1, -1/5, 0
Factor 2*z**3/7 - 2966*z**2/7 + 1101126*z/7 - 1098162/7.
2*(z - 741)**2*(z - 1)/7
Factor -6*q**2 - 57*q.
-3*q*(2*q + 19)
Factor -5*c**4/4 + 25*c**3/2 - 20*c**2.
-5*c**2*(c - 8)*(c - 2)/4
Factor 5*k**4 - 165*k**3 + 315*k**2 - 155*k.
5*k*(k - 31)*(k - 1)**2
Let 5*t**4/2 - 36*t**3 + 164*t**2 - 240*t + 72 = 0. Calculate t.
2/5, 2, 6
Determine a, given that -5*a**2 - 7560*a - 15100 = 0.
-1510, -2
Solve -4*t**2 + 136*t - 1156 = 0.
17
Suppose -80*d**5 - 1160*d**4 - 1565*d**3 - 35*d**2 + 385*d - 65 = 0. Calculate d.
-13, -1, 1/4
Factor 59*x**2/4 - 32*x + 5.
(x - 2)*(59*x - 10)/4
Factor z**2/4 - 201*z/2 + 40401/4.
(z - 201)**2/4
Factor 3*g**3 + 12*g**2 + 3*g - 18.
3*(g - 1)*(g + 2)*(g + 3)
Factor 4*c**3 + 120*c**2 - 5148*c - 156816.
4*(c - 36)*(c + 33)**2
Factor 4*b**2 + 10600*b + 7022500.
4*(b + 1325)**2
Factor -2*z**3/3 - 32*z**2/7 - 66*z/7 - 36/7.
-2*(z + 3)**2*(7*z + 6)/21
Factor 3*a**2 - 75*a.
3*a*(a - 25)
Suppose 2*s**5/11 - 30*s**4/11 + 104*s**3/11 - 24*s**2/11 - 160*s/11 = 0. What is s?
-1, 0, 2, 4, 10
Determine d, given that 2*d**2/7 - 156*d/7 = 0.
0, 78
Let c**4/4 - 23*c**3/4 - 199*c**2/4 - 325*c/4 - 75/2 = 0. Calculate c.
-5, -1, 30
Let -10*a**5 - 5*a**4 + 10*a**3 + 5*a**2 = 0. What is a?
-1, -1/2, 0, 1
Factor -2*t**3 - 2*t**2 + 264*t.
-2*t*(t - 11)*(t + 12)
What is b in -2*b**2/5 - 1836*b/5 - 421362/5 = 0?
-459
Factor -v**4 + v**3 + 3*v**2 - v - 2.
-(v - 2)*(v - 1)*(v + 1)**2
Factor -5*g**2 + 40620*g - 82499220.
-5*(g - 4062)**2
Let 5*b**2/3 + 955*b/3 - 3000 = 0. What is b?
-200, 9
Suppose 3*q**5/4 - 3*q**4 - 9*q**3/4 + 21*q**2/2 - 6*q = 0. Calculate q.
-2, 0, 1, 4
Solve -2*l**4 - 50*l**3 + 196*l**2 + 9000*l + 16848 = 0 for l.
-18, -2, 13
Factor -2*k**3 + 119*k**2/6 - 29*k/6.
-k*(3*k - 29)*(4*k - 1)/6
Find q, given that -q**2/4 + q/2 - 1/4 = 0.
1
What is j in j**3/3 + 25*j**2/3 + 68*j/3 + 44/3 = 0?
-22, -2, -1
Solve -v**2/3 = 0.
0
Factor -d**2/3 + 5*d + 16/3.
-(d - 16)*(d + 1)/3
Let 2*f**4 + 264*f**3 - 536*f**2 = 0. Calculate f.
-134, 0, 2
Suppose -y**3/2 + 20*y**2 - 234*y + 648 = 0. What is y?
4, 18
Factor 2*z**2/11 - 500*z/11 - 138.
2*(z - 253)*(z + 3)/11
Find i, given that 5*i**2 - 8530*i + 3638045 = 0.
853
Factor -4*v**3 + 3292*v**2 - 9848*v + 6560.
-4*(v - 820)*(v - 2)*(v - 1)
Factor 2*n**5 + 4*n**4 - 40*n**3 + 48*n**2.
2*n**2*(n - 2)**2*(n + 6)
Determine z so that 5*z**5 + 55*z**4 - 15*z**3 - 175*z**2 - 110*z = 0.
-11, -1, 0, 2
Factor -y**2/5 + 3103*y/5 + 3104/5.
-(y - 3104)*(y + 1)/5
Factor t**4/4 - t**3/4 - 3*t**2.
t**2*(t - 4)*(t + 3)/4
Factor -s**4 + 7*s**3 + 52*s**2 + 92*s + 48.
-(s - 12)*(s + 1)*(s + 2)**2
Factor -a**2/7 - a/7 + 2/7.
-(a - 1)*(a + 2)/7
Factor -2*u**2/11 - 12*u/11 - 10/11.
-2*(u + 1)*(u + 5)/11
Factor 4*m**2 - 124*m.
4*m*(m - 31)
Let 2*x**3/7 + 2*x**2/7 - 18*x/7 - 18/7 = 0. Calculate x.
-3, -1, 3
Factor 3*i**4 + 750*i**3 + 46119*i**2 - 94500*i + 47628.
3*(i - 1)**2*(i + 126)**2
Suppose -5*a**3 - 90*a**2 - 480*a - 800 = 0. Calculate a.
-10, -4
Factor -3*x**4/5 + 9*x**3/5 - 6*x**2/5.
-3*x**2*(x - 2)*(x - 1)/5
Solve q**4/3 + 10*q**3/3 = 0.
-10, 0
Determine g so that 245*g**5 - 3290*g**4 + 3205*g**3 + 11480*g**2 + 5460*g + 720 = 0.
-1, -2/7, 3, 12
Factor -x**2 + 78*x - 1521.
-(x - 39)**2
Solve -3*r**2 + 48*r + 171 = 0 for r.
-3, 19
Let -16*v**2 - 20*v - 4 = 0. Calculate v.
-1, -1/4
Find a such that 5*a**4/3 + 22*a**3/3 + 11*a**2 + 20*a/3 + 4/3 = 0.
-2, -1, -2/5
Factor -4*v**3 + 36*v**2 - 56*v - 96.
-4*(v - 6)*(v - 4)*(v + 1)
Determine w so that -2*w**3/15 + 8*w**2/15 + 14*w/15 - 4/3 = 0.
-2, 1, 5
Factor 5*n**2 + 305*n - 3960.
5*(n - 11)*(n + 72)
Factor -4*v**3 + 672*v**2 - 37632*v + 702464.
-4*(v - 56)**3
Determine a so that -36*a**4 - 100*a**3 - 48*a**2 + 16*a = 0.
-2, -1, 0, 2/9
Determine x, given that -2*x**2/3 - 26*x/3 = 0.
-13, 0
Determine c so that 2*c**4/3 + 6*c**3 + 46*c**2/3 + 2*c - 24 = 0.
-4, -3, 1
Factor -25*f**4 - 120*f**3 - 54*f**2 + 216*f - 81.
-(f + 3)**2*(5*f - 3)**2
Factor r**3/8 + 609*r**2/8 + 11628*r + 11552.
(r + 1)*(r + 304)**2/8
Suppose 21*r**2/4 + 97*r/4 + 51/2 = 0. Calculate r.
-3, -34/21
Factor -3*c**2 - 501*c - 6426.
-3*(c + 14)*(c + 153)
Factor 2*r**2 + 20*r - 22.
2*(r - 1)*(r + 11)
Factor 2*k**2/13 + 764*k/13 + 762/13.
2*(k + 1)*(k + 381)/13
Find p such that -3*p**4 - 21*p**3 + 3*p**2 + 21*p = 0.
-7, -1, 0, 1
Factor -5*m**4 + 20*m**2.
-5*m**2*(m - 2)*(m + 2)
Suppose 2*y**4 + 30*y**3 - 108*y**2 + 8*y + 144 = 0. What is y?
-18, -1, 2
Factor -2*f**2/3 - 26*f/3 + 252.
-2*(f - 14)*(f + 27)/3
Factor 2*x**3 - 178*x**2 + 1728*x + 110808.
2*(x - 54)**2*(x + 19)
Solve -2*m**5/3 + 58*m**4/9 - 62*m**3/3 + 262*m**2/9 - 56*m/3 + 40/9 = 0.
2/3, 1, 2, 5
Suppose -4*v**3 + 244*v**2 - 3840*v + 3600 = 0. What is v?
1, 30
Solve -5*o**2 - 205*o = 0 for o.
-41, 0
Factor -r**3/3 + 614*r**2 - 376996*r + 231475544/3.
-(r - 614)**3/3
Solve 8*s**2/3 - 50*s/3 - 14 = 0 for s.
-3/4, 7
Factor -3*f**3 - 12*f**2 + 87*f - 72.
-3*(f - 3)*(f - 1)*(f + 8)
Factor 3*y**3 + 150*y**2 + 423*y.
3*y*(y + 3)*(y + 47)
Suppose -4*v**5 + 8*v**4 + 84*v**3 + 88*v**2 - 80*v - 96 = 0. Calculate v.
-2, -1, 1, 6
Factor 8*w**2/5 - 1294*w - 1618/5.
2*(w - 809)*(4*w + 1)/5
Solve -g**3 - 234*g**2 - 233*g = 0 for g.
-233, -1, 0
What is z in 3*z**5 - 87*z**4/4 - 75*z**3/4 + 6*z**2 = 0?
-1, 0, 1/4, 8
Factor 2*i**3/3 + 2*i**2 + 4*i/3.
2*i*(i + 1)*(i + 2)/3
Factor -z**4 + 22*z**3 - 101*z**2 + 80*z.
-z*(z - 16)*(z - 5)*(z - 1)
Solve -25*q**3 + 20*q**2 - 4*q = 0.
0, 2/5
Find x such that 25*x**4/4 - 23*x**3/4 - x**2/2 = 0.
-2/25, 0, 1
Solve -u**4/4 + 9*u**3/2 - 17*u**2/4 = 0.
0, 1, 17
Factor 8*q**4/3 + 88*q**3/3 + 194*q**2/3 - 88*q + 24.
2*(q + 6)**2*(2*q - 1)**2/3
Factor -51*b**3 + 189*b**2 + 60*b.
-3*b*(b - 4)*(17*b + 5)
Factor 3*l**3 + 189*l**2/4 + 72*l - 21.
3*(l + 2)*(l + 14)*(4*l - 1)/4
Find n, given that 2*n**5/5 + 106*n**4/5 + 302*n**3/5 + 94*n**2/5 - 304*n/5 - 40 = 0.
-50, -2, -1, 1
Factor 9*v**5/4 + 3*v**4/4 - 2*v**3 - v**2.
v**2*(v - 1)*(3*v + 2)**2/4
Factor -2*j**3 - 44*j**2 - 38*j + 84.
-2*