 3
Factor -5*m**2 + 795*m - 790.
-5*(m - 158)*(m - 1)
Factor t**3/3 - 53*t**2 + 2080*t + 6400/3.
(t - 80)**2*(t + 1)/3
Factor -p**5/2 + p**4 + 3*p**3/2 - 2*p**2 - 2*p.
-p*(p - 2)**2*(p + 1)**2/2
Solve -4*h**4/7 + 8*h**2/7 - 4/7 = 0.
-1, 1
Factor 8*j**3 + 7232*j**2 - 7238*j + 1810.
2*(j + 905)*(2*j - 1)**2
Determine k, given that 2*k**2/13 - 692*k/13 + 59858/13 = 0.
173
Factor 2*o**3 - 6*o + 4.
2*(o - 1)**2*(o + 2)
Determine f so that -35*f**4/3 - 160*f**3 - 245*f**2/3 + 340*f - 260/3 = 0.
-13, -2, 2/7, 1
Factor -3*b**2 + 42*b + 96.
-3*(b - 16)*(b + 2)
Factor -4*z**2 - 720*z - 716.
-4*(z + 1)*(z + 179)
What is r in r**3 - 446*r**2 + 49729*r = 0?
0, 223
Factor 4*g**4 + 560*g**3 - 5256*g**2 + 15984*g - 16092.
4*(g - 3)**3*(g + 149)
Solve q**3 + 3513*q**2 + 4113723*q + 1605723211 = 0 for q.
-1171
Suppose 3*q**5/7 + 27*q**4/7 - 153*q**3/7 - 591*q**2/7 - 90*q - 216/7 = 0. What is q?
-12, -1, 6
Suppose -28*w**3/9 - 272*w**2/9 - 620*w/9 + 200/9 = 0. Calculate w.
-5, 2/7
Suppose 543169*c**2 + 2948*c + 4 = 0. What is c?
-2/737
Solve 4*r**2/5 - 334*r/5 - 168/5 = 0.
-1/2, 84
Determine j so that -j**4/4 + 5*j**3/2 + 147*j**2/4 + 109*j + 95 = 0.
-5, -2, 19
Factor i**3/2 + 15*i**2 + 28*i.
i*(i + 2)*(i + 28)/2
Factor 3*i**3/2 + 27*i**2/2 - 231*i + 216.
3*(i - 8)*(i - 1)*(i + 18)/2
Factor -o**3/4 - 137*o**2/4 - 3791*o/4 - 29767/4.
-(o + 17)**2*(o + 103)/4
Let 20*j**5/7 + 24*j**4 - 180*j**3/7 - 584*j**2/7 + 576*j/7 = 0. Calculate j.
-9, -2, 0, 1, 8/5
Determine r, given that 69*r**3 + 12*r**2 - 69*r - 12 = 0.
-1, -4/23, 1
Factor 12*u**3 - 183*u**2 + 774*u - 999.
3*(u - 3)**2*(4*u - 37)
Factor -u**4/5 + 6*u**3 + 4*u**2/5 - 24*u.
-u*(u - 30)*(u - 2)*(u + 2)/5
Determine f, given that -f**4/6 - 41*f**3/2 + 623*f**2/2 - 6713*f/6 = 0.
-137, 0, 7
Factor -2*q**2 - 34*q/3 - 40/3.
-2*(q + 4)*(3*q + 5)/3
Factor -2*t**2 + 34*t - 140.
-2*(t - 10)*(t - 7)
Solve -2*v**3/13 - 10*v**2/13 - 4*v/13 + 16/13 = 0 for v.
-4, -2, 1
Suppose -7*g**2/5 + 3*g = 0. What is g?
0, 15/7
Factor 5*t**5 + 20*t**4 - 225*t**3.
5*t**3*(t - 5)*(t + 9)
Let 10*y**5/17 + 26*y**4/17 - 62*y**3/17 - 10*y**2/17 + 52*y/17 - 16/17 = 0. What is y?
-4, -1, 2/5, 1
Factor -l**2/9 + 852*l - 1633284.
-(l - 3834)**2/9
Find c, given that -c**4/2 - 2*c**3 + 19*c**2 - 30*c + 27/2 = 0.
-9, 1, 3
Factor 12*b**3 - 1064*b**2 - 1436*b - 360.
4*(b - 90)*(b + 1)*(3*b + 1)
Factor 2*v**3/7 + 12*v**2/7 + 18*v/7 + 8/7.
2*(v + 1)**2*(v + 4)/7
Solve 5*k**5 - 240*k**4 - 1850*k**3 - 4080*k**2 - 2475*k = 0 for k.
-3, -1, 0, 55
Suppose 3*r**2/2 - 18*r + 30 = 0. What is r?
2, 10
Find k such that 3*k**2 - 678*k + 675 = 0.
1, 225
Factor -2*w**2/13 - 168*w/13 - 166/13.
-2*(w + 1)*(w + 83)/13
Factor -19*c**2/2 + 181*c - 19/2.
-(c - 19)*(19*c - 1)/2
Determine g, given that -20*g**5 - 32*g**4 + 64*g**3 + 88*g**2 - 44*g - 56 = 0.
-2, -1, 1, 7/5
Solve -4*m**4/3 + 20*m**3/3 - 8*m**2 = 0.
0, 2, 3
Determine n, given that 21*n**4 + 645*n**3 + 444*n**2 - 180*n = 0.
-30, -1, 0, 2/7
Let -2*w**5 + 4*w**4 + 28*w**3 + 16*w**2 - 26*w - 20 = 0. Calculate w.
-2, -1, 1, 5
Factor -s**3 + 143*s**2 - 5040*s - 5184.
-(s - 72)**2*(s + 1)
Factor -27*r**2 + 465*r - 438.
-3*(r - 1)*(9*r - 146)
Factor -n**2/3 + 32*n/3 + 11.
-(n - 33)*(n + 1)/3
Suppose 8*x**4 + 28*x**3 - 28*x**2 - 48*x = 0. What is x?
-4, -1, 0, 3/2
Suppose 45*l**5 + 15*l**4 - 70*l**3 - 10*l**2 + 25*l - 5 = 0. Calculate l.
-1, 1/3, 1
Let -770*a**2 - 774*a - 4 = 0. What is a?
-1, -2/385
Factor -3*t**5/4 + 15*t**4/4 - 15*t**3/2 + 15*t**2/2 - 15*t/4 + 3/4.
-3*(t - 1)**5/4
Suppose 2*h**3 - 36*h**2 + 142*h - 156 = 0. Calculate h.
2, 3, 13
Factor 7*c**4 - 3162*c**3 + 5403*c**2 - 1348*c - 900.
(c - 450)*(c - 1)**2*(7*c + 2)
What is p in 12*p**3 - 82*p**2 + 130*p + 24 = 0?
-1/6, 3, 4
Factor 3*b**5 + 207*b**4 + 3861*b**3 + 9801*b**2.
3*b**2*(b + 3)*(b + 33)**2
Let t**3/5 - 18*t**2/5 + 108*t/5 - 216/5 = 0. Calculate t.
6
Suppose 5*a**3 + 25*a**2 - 5*a - 25 = 0. What is a?
-5, -1, 1
Suppose -3*i**4 + 21*i**3 + 84*i**2 + 60*i = 0. Calculate i.
-2, -1, 0, 10
Let -k**3/3 + 216*k**2 = 0. Calculate k.
0, 648
Factor -4*u**2/7 + 20*u - 136/7.
-4*(u - 34)*(u - 1)/7
Let -2*l**3/5 - 556*l**2/5 - 38642*l/5 = 0. What is l?
-139, 0
Solve 3*o**4/4 - 23*o**3/2 + 37*o**2 + 30*o = 0 for o.
-2/3, 0, 6, 10
Factor 5*g**2 - 10*g.
5*g*(g - 2)
What is y in -3*y**3 + 40*y**2 - 71*y - 66 = 0?
-2/3, 3, 11
Suppose -11*x**3/4 + 111*x**2/2 - 285*x + 50 = 0. Calculate x.
2/11, 10
Find q such that -2*q**4 + 130*q**3 = 0.
0, 65
Factor -i**3/3 - i**2 + 24*i - 176/3.
-(i - 4)**2*(i + 11)/3
Let -10*g**5 - 54*g**4 + 10*g**3 + 142*g**2 - 48*g - 40 = 0. What is g?
-5, -2, -2/5, 1
Find c such that 5*c**4 + 30*c**3 + 45*c**2 + 20*c = 0.
-4, -1, 0
Let 3*i**3 - 6654*i**2 = 0. Calculate i.
0, 2218
Suppose 5*g**2 + 260*g - 2400 = 0. Calculate g.
-60, 8
Find s, given that -2*s**3/9 + 146*s**2/9 - 1022*s/9 - 130 = 0.
-1, 9, 65
Factor -f**2/5 - 27*f/5 - 36.
-(f + 12)*(f + 15)/5
Let -a**3/3 + 17*a**2/3 - 76*a/3 + 20 = 0. What is a?
1, 6, 10
Factor 4*m**2/7 - 8432*m/7 + 4443664/7.
4*(m - 1054)**2/7
Factor -2*o**2 + 26*o - 44.
-2*(o - 11)*(o - 2)
Factor 2*w**2/7 + 304*w/7.
2*w*(w + 152)/7
Find j such that 8*j**4 - 244*j**3 + 576*j**2 - 452*j + 112 = 0.
1/2, 1, 28
Let 2*w**4 - 42*w**3 - 44*w**2 = 0. What is w?
-1, 0, 22
What is k in -4*k**2 + 132*k + 592 = 0?
-4, 37
Solve -15*x**4 + 2780*x**3 - 130645*x**2 + 170200*x - 42320 = 0.
1/3, 1, 92
Suppose 3*m**4 - 66*m**3 = 0. What is m?
0, 22
Suppose -3*o**5 + 15*o**4 - 18*o**3 - 12*o**2 + 24*o = 0. What is o?
-1, 0, 2
What is b in -b**3/2 - 189*b**2 - 17280*b + 110592 = 0?
-192, 6
Factor z**5/6 + 14*z**4/3 - 320*z**3/3 + 1408*z**2/3.
z**2*(z - 8)**2*(z + 44)/6
What is p in -2*p**5 + 2*p**4 + 22*p**3 + 14*p**2 - 20*p - 16 = 0?
-2, -1, 1, 4
Factor 3*v**5 - 360*v**4.
3*v**4*(v - 120)
Factor 9*o**2/2 - 5*o/2 - 2.
(o - 1)*(9*o + 4)/2
Determine s so that s**2/6 + 244*s + 89304 = 0.
-732
Suppose -3*l**2/2 + 16593*l/2 + 8298 = 0. Calculate l.
-1, 5532
Factor -25*b**3 + 5*b**2 + 25*b - 5.
-5*(b - 1)*(b + 1)*(5*b - 1)
Let -2*l**5 + 70*l**4 + 942*l**3 + 3170*l**2 + 2300*l = 0. What is l?
-5, -1, 0, 46
Determine n so that 5*n**2 + 225*n + 220 = 0.
-44, -1
Factor 2*s**3/5 - 1142*s**2/5 - 1148*s/5 + 2288/5.
2*(s - 572)*(s - 1)*(s + 2)/5
Factor -7203*n**2/2 - 6762*n - 3174.
-3*(49*n + 46)**2/2
Find b such that 2*b**5/9 - 2*b**4 - 4*b**3 + 388*b**2/9 + 182*b/3 - 98 = 0.
-3, 1, 7
What is c in -182*c**4/5 + 906*c**3/5 - 1436*c**2/5 + 696*c/5 + 16/5 = 0?
-2/91, 1, 2
Factor w**4/4 + 8*w**3 + 64*w**2.
w**2*(w + 16)**2/4
Factor 2*b**2 - 124*b.
2*b*(b - 62)
Factor 2*i**2 + 88*i + 968.
2*(i + 22)**2
Let -d**3 - 6*d**2 + 7*d = 0. What is d?
-7, 0, 1
Let -u**3/2 - 351*u**2/2 - 30975*u/2 - 30625/2 = 0. What is u?
-175, -1
Factor -5*u**2 + 1090*u + 7875.
-5*(u - 225)*(u + 7)
Factor 3*b**3 - 3*b.
3*b*(b - 1)*(b + 1)
Solve w**5/3 + 25*w**4/3 + 190*w**3/3 + 90*w**2 - 405*w + 243 = 0.
-9, 1
Determine s so that -243*s**4 + 3132*s**3 - 5313*s**2 + 2952*s - 528 = 0.
4/9, 1, 11
Factor w**3/3 - 2*w**2 - 85*w/3 - 26.
(w - 13)*(w + 1)*(w + 6)/3
Let -4*m**2 + 32*m - 60 = 0. Calculate m.
3, 5
Factor 2*q**4/3 + 2*q**3 - 2*q**2/3 - 2*q.
2*q*(q - 1)*(q + 1)*(q + 3)/3
Solve 5*n**2/2 - 11*n/4 - 21/4 = 0.
-1, 21/10
Determine s so that -s**2/4 + 235*s/4 + 237/2 = 0.
-2, 237
Factor 5*m**5 + 25*m**4 + 15*m**3 - 25*m**2 - 20*m.
5*m*(m - 1)*(m + 1)**2*(m + 4)
Let -2*z**2 + 24*z + 56 = 0. Calculate z.
-2, 14
Determine g so that -2*g**5/17 - 16*g**4/17 - 12*g**3/17 + 16*g**2/17 + 14*g/17 = 0.
-7, -1, 0, 1
Factor 5*x**2 - 45*x - 2210.
5*(x - 26)*(x + 17)
Find t, given that 4*t**3 + 24*t**2 - 60*t + 32 = 0.
-8, 1
Determine u, given that -5*u**5 - 275*u**4 - 4470*u**3 - 8200*u**2 + 236000*u + 240000 = 0.
-20, -1, 6
Factor -3*f**3/4 + 177*f**2/4 - 2325*f/4 - 8649/4.
-3*(f - 31)**2*(f + 3)/4
Determine o, given that -10*o**4 - 132*o**3 - 2538*o**2/5 - 2376*o/5 - 648/5 = 0.
-6, -3/5
Factor m**2 + 22*m + 121.
(m + 11)**2
Factor -3*k**4 - 36*k**3 + 135*k**2 - 12*k - 180.
-3*(k - 2)**2*(k + 1)*(k + 15)
Determine y, given that -2*y**3 + 184*y**2 - 1376*y + 2688 = 0.
4, 84
Find g such that 125*g**5 + 21675*g**4 + 950355*g**3 + 928805*g**2 = 0.
-431/5, -1, 0
Factor 21*h**2 + 2868*h + 2847.
3*(h + 1)*(7*h + 949)
Find l such that -l**5/7 + 3*l**4 - 114*l**3/7 - 20*l**2/7 + 600*l/7