57)**2/7
Determine b so that -5*b**3 - 195*b**2 - 375*b + 34375 = 0.
-25, 11
Factor -12*g**5 + 40*g**4 - 48*g**3 + 24*g**2 - 4*g.
-4*g*(g - 1)**3*(3*g - 1)
Factor c**4 - 65*c**3 + 1374*c**2 - 8960*c - 10400.
(c - 26)*(c - 20)**2*(c + 1)
Let -l**3/3 + 76*l**2/3 - 163*l + 138 = 0. Calculate l.
1, 6, 69
Let -8*g**3/15 + 94*g**2/15 - 64*g/5 - 18/5 = 0. Calculate g.
-1/4, 3, 9
Let -9*g**5 - 12*g**4 - 3*g**3 = 0. Calculate g.
-1, -1/3, 0
Determine u, given that -3*u**4/7 - 6*u**3 - 144*u**2/7 + 6*u + 21 = 0.
-7, -1, 1
Solve -3*h**2 + 402*h - 13467 = 0.
67
Factor 2*h**4 + 32*h**3 + 84*h**2 + 80*h + 26.
2*(h + 1)**3*(h + 13)
Determine t, given that 84*t**5 - 123*t**4 - 1008*t**3 + 501*t**2 + 474*t + 72 = 0.
-3, -2/7, -1/4, 1, 4
Factor 2*s**3/7 - 10*s**2/7 + 12*s/7.
2*s*(s - 3)*(s - 2)/7
Find g, given that g**2/9 - 140*g/9 + 92/3 = 0.
2, 138
Factor -b**4/4 - 13*b**3/2 - 229*b**2/4 - 195*b - 225.
-(b + 3)**2*(b + 10)**2/4
Suppose 2*w**5/3 + 14*w**4/3 + 4*w**3 - 64*w**2/3 - 64*w/3 = 0. What is w?
-4, -1, 0, 2
Factor 2*g**5/7 + 38*g**4/7 + 198*g**3/7 + 162*g**2/7.
2*g**2*(g + 1)*(g + 9)**2/7
Find v such that v**4/3 + 14*v**3/3 - 68*v**2/3 + 24*v = 0.
-18, 0, 2
Factor 5*i**4 - 50*i**3 - 15*i**2 + 160*i - 100.
5*(i - 10)*(i - 1)**2*(i + 2)
Factor -2*b**4/5 + 4*b**3 - 14*b**2/5 - 36*b/5.
-2*b*(b - 9)*(b - 2)*(b + 1)/5
Solve -5*r**2 + 40*r + 100 = 0.
-2, 10
Let -2*i**3 + 54*i**2 + 914*i + 858 = 0. What is i?
-11, -1, 39
Factor -o**3/8 - 57*o**2/8 - 671*o/8 - 615/8.
-(o + 1)*(o + 15)*(o + 41)/8
Let -3*l**2 + 9*l = 0. What is l?
0, 3
Factor 4*q**2/5 - 36*q/5 - 72.
4*(q - 15)*(q + 6)/5
Factor -4*d**2 - 5384*d - 1811716.
-4*(d + 673)**2
Solve -5*u**3 + 35*u**2 + 5*u - 35 = 0 for u.
-1, 1, 7
Factor o**3/6 + 71*o**2/6 - 457*o/6 + 385/6.
(o - 5)*(o - 1)*(o + 77)/6
Factor -22*r**4/9 + 172*r**3/9 + 26*r**2.
-2*r**2*(r - 9)*(11*r + 13)/9
Let -b**2 - 12*b - 11 = 0. What is b?
-11, -1
Factor -4*y**2 - 32*y - 28.
-4*(y + 1)*(y + 7)
Determine m so that m**5/2 - 2*m**4 - m**3/2 + 2*m**2 = 0.
-1, 0, 1, 4
What is r in 8*r**3 + 2*r**2 = 0?
-1/4, 0
Factor 2*t**2 - 26*t - 28.
2*(t - 14)*(t + 1)
Factor g**2/6 - 27*g + 160/3.
(g - 160)*(g - 2)/6
Let 10*f**5 + 682*f**4 - 2704*f**3 + 2312*f**2 + 576*f = 0. What is f?
-72, -1/5, 0, 2
Determine h, given that -3*h**5/5 + 3*h**4 + 6*h**3/5 - 84*h**2/5 + 24*h/5 + 96/5 = 0.
-2, -1, 2, 4
Find r, given that r**2/7 + 306*r/7 + 909/7 = 0.
-303, -3
Factor 28*a**4 - 32*a**3 - 60*a**2.
4*a**2*(a + 1)*(7*a - 15)
Factor 245*l**4 + 3570*l**3 + 13985*l**2 + 7140*l + 980.
5*(l + 7)**2*(7*l + 2)**2
Factor -2*m**2 + 394*m + 2856.
-2*(m - 204)*(m + 7)
What is b in 3*b**3 + 6*b**2 + 3*b = 0?
-1, 0
Suppose 10*h**5/9 - 302*h**4/9 + 2030*h**3/9 - 5194*h**2/9 + 1640*h/3 - 88 = 0. Calculate h.
1/5, 2, 3, 22
Solve -4*u**3/3 - 68*u**2 - 392*u/3 = 0.
-49, -2, 0
Find g such that g**4/6 + 901*g**3/6 + 1799*g**2/6 + 899*g/6 = 0.
-899, -1, 0
Factor m**4 + 9*m**3 + 20*m**2 + 12*m.
m*(m + 1)*(m + 2)*(m + 6)
Factor 2*v**2/9 - 2*v + 28/9.
2*(v - 7)*(v - 2)/9
Factor -5*d**4 - 100*d**3 - 560*d**2 - 240*d + 3600.
-5*(d - 2)*(d + 6)**2*(d + 10)
Suppose 5*t**3 - 235*t**2 - 240*t = 0. Calculate t.
-1, 0, 48
Let -3*d**5/4 + 51*d**4/2 - 297*d**3 + 2787*d**2/2 - 10569*d/4 + 1521 = 0. What is d?
1, 3, 4, 13
Determine b so that -b**5/2 - 19*b**4 + 104*b**3 - 149*b**2 + 129*b/2 = 0.
-43, 0, 1, 3
Let 5*y**3 - 150*y**2 + 1125*y = 0. What is y?
0, 15
Find y, given that 6*y**5 + 26*y**4 + 32*y**3 + 8*y**2 = 0.
-2, -1/3, 0
Find o, given that 2*o**5 - 126*o**4 + 480*o**3 - 472*o**2 = 0.
0, 2, 59
Solve 14*c**3/5 - 94*c**2/3 + 152*c/15 = 0.
0, 1/3, 76/7
Factor -9*x**2/2 - 199*x/2 - 105.
-(x + 21)*(9*x + 10)/2
Factor 5*l**3/2 + 21*l**2 + 117*l/2 + 54.
(l + 3)**2*(5*l + 12)/2
Let -5*m**4 + 15*m**3 + 55*m**2 - 15*m - 50 = 0. Calculate m.
-2, -1, 1, 5
Factor i**3 - 16*i**2 + 49*i + 66.
(i - 11)*(i - 6)*(i + 1)
Determine b so that -2*b**2/3 - 22*b - 400/3 = 0.
-25, -8
Determine k so that 115*k**4 + 1040*k**3 + 1770*k**2 - 2800*k - 125 = 0.
-5, -1/23, 1
Solve -4*d**2 - 176*d - 1936 = 0.
-22
Let 2*d**5/3 + 68*d**4/3 + 866*d**3/3 + 5144*d**2/3 + 14432*d/3 + 15488/3 = 0. What is d?
-11, -4
Solve z**3/2 + 33*z**2/2 = 0 for z.
-33, 0
Factor -4*d**3/5 + 28*d**2/5 + 68*d/5 + 36/5.
-4*(d - 9)*(d + 1)**2/5
Let -3*g**2/7 + 90*g = 0. What is g?
0, 210
Factor 2*h**3/3 - 62*h**2/3 + 208*h - 672.
2*(h - 12)**2*(h - 7)/3
Factor 2*o**2/11 - 2304*o/11 + 663552/11.
2*(o - 576)**2/11
Factor 3*a**2/5 + 9570*a + 38160375.
3*(a + 7975)**2/5
Solve -3*x**2/2 - 1152*x - 2298 = 0.
-766, -2
Suppose -9*w**5 - 582*w**4 - 3822*w**3 + 6348*w**2 + 1143*w - 3078 = 0. What is w?
-57, -9, -2/3, 1
Suppose 2*g**2/9 + 250*g/9 = 0. What is g?
-125, 0
Find q such that -q**3/3 + 9*q**2 + 4*q/3 - 36 = 0.
-2, 2, 27
Factor 51*v**2 - 177*v + 72.
3*(v - 3)*(17*v - 8)
Determine r so that 10*r**5/9 + 74*r**4/9 + 158*r**3/9 + 22*r**2/9 - 64*r/3 - 8 = 0.
-3, -2, -2/5, 1
Determine h so that 5*h**4 - 120*h**3 - 555*h**2 - 170*h + 840 = 0.
-3, -2, 1, 28
Let l**2 - 272*l - 273 = 0. What is l?
-1, 273
Suppose -o**5/2 + o**4 - o**3/2 = 0. What is o?
0, 1
Determine o, given that 5*o**2 - 5 = 0.
-1, 1
Suppose 2*m**2/9 - 32/9 = 0. Calculate m.
-4, 4
Factor 5*w**3 - 15*w**2 - 530*w - 1560.
5*(w - 13)*(w + 4)*(w + 6)
Factor -x**2/4 + 17*x/4 - 13.
-(x - 13)*(x - 4)/4
Factor 7*o**4 - 1216*o**3 + 70296*o**2 - 1345600*o - 390224.
(o - 58)**3*(7*o + 2)
Suppose 3*q**2 + 4*q - 7 = 0. Calculate q.
-7/3, 1
Solve 2*h**2/3 + 80*h/3 - 86 = 0.
-43, 3
Suppose 45*a**4 + 39*a**3 - 51*a**2 - 39*a + 6 = 0. Calculate a.
-1, 2/15, 1
Factor -2*f**3 - 456*f**2 + 2*f + 456.
-2*(f - 1)*(f + 1)*(f + 228)
Factor -4*l**3 + 6444*l**2 + 6448*l.
-4*l*(l - 1612)*(l + 1)
Factor 3*q**2 + 63*q - 66.
3*(q - 1)*(q + 22)
Suppose -5*a**4 + 3655*a**3 - 7295*a**2 + 3645*a = 0. Calculate a.
0, 1, 729
Factor -20*f**3/7 - 2503*f**2/7 - 375*f/7.
-f*(f + 125)*(20*f + 3)/7
Factor 28*x**3 + 7372*x**2 - 12736*x - 4240.
4*(x - 2)*(x + 265)*(7*x + 2)
Factor 32*z**3/7 - 176*z**2 + 1694*z.
2*z*(4*z - 77)**2/7
Let 2*v**4/7 - 8*v**3/7 - 26*v**2/7 + 80*v/7 + 96/7 = 0. Calculate v.
-3, -1, 4
Let -25*y**5 - 10*y**4 + 25*y**3 + 10*y**2 = 0. What is y?
-1, -2/5, 0, 1
Let -l**4 + 17*l**3 - 63*l**2 - 81*l = 0. Calculate l.
-1, 0, 9
Factor -2*v**5/17 + 26*v**4/17 + 90*v**3/17 + 94*v**2/17 + 32*v/17.
-2*v*(v - 16)*(v + 1)**3/17
Suppose -5*a**4 - 75*a**3 - 245*a**2 - 285*a - 110 = 0. What is a?
-11, -2, -1
Solve 3*r**5/7 + 23*r**4/7 + 68*r**3/7 + 96*r**2/7 + 64*r/7 + 16/7 = 0 for r.
-2, -1, -2/3
Determine k, given that 25*k**4/3 - 8195*k**3/3 - 552*k**2 + 5252*k/3 - 1312/3 = 0.
-1, 2/5, 328
Solve 9*b**3/2 - 393*b**2/8 + 1107*b/8 - 105 = 0 for b.
5/4, 8/3, 7
Suppose -2*b**4 + 2*b**3 + 24*b**2 - 56*b + 32 = 0. Calculate b.
-4, 1, 2
Factor 2*p**3/9 + 506*p**2/3 + 31920*p - 288800/9.
2*(p - 1)*(p + 380)**2/9
Factor -d**3 - 2*d**2 + 5*d + 6.
-(d - 2)*(d + 1)*(d + 3)
Factor -5*d**3 + 270*d**2.
-5*d**2*(d - 54)
Factor -2*s**4/11 + 26*s**3/11 - 72*s**2/11.
-2*s**2*(s - 9)*(s - 4)/11
Solve -5*g**3 - 70*g**2 + 5*g + 70 = 0.
-14, -1, 1
What is x in 8*x**3 - 476*x**2 - 1252*x + 744 = 0?
-3, 1/2, 62
Solve 9*l**5 - 96*l**4 - 69*l**3 + 384*l**2 + 132*l = 0 for l.
-2, -1/3, 0, 2, 11
Factor -a**5 - 30*a**4 - 169*a**3 - 168*a**2 + 368*a.
-a*(a - 1)*(a + 4)**2*(a + 23)
Factor 3*j**2 - 399*j - 402.
3*(j - 134)*(j + 1)
Let -2*w**2/11 - 10568*w/11 - 13960328/11 = 0. Calculate w.
-2642
Factor -a**4/3 + 2*a**3 + 16*a**2/3.
-a**2*(a - 8)*(a + 2)/3
Find j such that -j**3/3 + 10*j**2 - 75*j = 0.
0, 15
Factor 18*h**2 - 3*h.
3*h*(6*h - 1)
Factor 2*v**3/5 + 218*v**2/5 - 2832*v/5 + 8712/5.
2*(v - 6)**2*(v + 121)/5
Factor t**3/2 + 4*t**2 - 61*t/2 + 26.
(t - 4)*(t - 1)*(t + 13)/2
Factor 4*j**3 - 8372*j**2 + 4376460*j + 4384836.
4*(j - 1047)**2*(j + 1)
Find i, given that -i**4/2 - 2*i**3 + 39*i**2/2 - 27*i = 0.
-9, 0, 2, 3
Suppose -4*y**5/7 + 516*y**4/7 - 22188*y**3/7 + 318028*y**2/7 = 0. What is y?
0, 43
Factor 2*q**3 + 10*q**2 + 4*q - 16.
2*(q - 1)*(q + 2)*(q + 4)
Factor f**2/2 + 39*f + 1521/2.
(f + 39)**2/2
Let -2*r**4/23 - 40*r**3/23 - 296*r**2/23 - 960*r/23 - 1152/23 = 0. What is r?
-6, -4
Factor 4*o**4 - 16*o**3 - 48*o**2.
4*o**2*(o - 6)*(o + 2)
Factor s**2/3 - 29*s/3 + 68.
(s - 17)*(s - 12)/3
Find c such that 3*c**5/8 - 3*c**4/2 - 99*c**3/