125*a + 87500.
5*(a + 25)**2*(a + 28)
Determine n, given that 23762*n**2 + 6104*n/3 + 392/9 = 0.
-14/327
Factor -j**3 + 584*j**2/3 - 28615*j/3 + 18818/3.
-(j - 97)**2*(3*j - 2)/3
Solve 3*t**3/5 - 111*t**2/5 + 969*t/5 + 1083/5 = 0.
-1, 19
Find i, given that i**5 + 2*i**4 - 6*i**3 - 8*i**2 + 5*i + 6 = 0.
-3, -1, 1, 2
Determine x so that -3*x**5/5 + 21*x**3/5 - 18*x**2/5 = 0.
-3, 0, 1, 2
Factor 2*k**4 - 6*k**3 + 2*k**2 + 6*k - 4.
2*(k - 2)*(k - 1)**2*(k + 1)
Determine a, given that a**3/2 + 23*a**2/4 + 5*a/2 - 11/4 = 0.
-11, -1, 1/2
Determine u so that u**5/6 - u**4/3 - 7*u**3/6 - 2*u**2/3 = 0.
-1, 0, 4
Factor 4*g**3 - 38*g**2 - 20*g.
2*g*(g - 10)*(2*g + 1)
Factor -27*b**2 + 21*b + 48.
-3*(b + 1)*(9*b - 16)
What is w in -245*w**3/6 - 140*w**2/3 + 190*w/3 - 40/3 = 0?
-2, 2/7, 4/7
Factor 2*m**3/9 + 16*m**2/3.
2*m**2*(m + 24)/9
Determine m so that 2*m**5/9 - 4*m**4/9 - 8*m**3/9 + 16*m**2/9 = 0.
-2, 0, 2
Factor 27*w**2 + 75*w - 18.
3*(w + 3)*(9*w - 2)
Find q, given that q**2 + 66*q + 1089 = 0.
-33
Factor -3*h**2 + 294*h - 7203.
-3*(h - 49)**2
Determine z so that z**3 + 58*z**2 + 505*z - 564 = 0.
-47, -12, 1
Suppose s**5/2 - 13*s**4/4 + 7*s**3 - 23*s**2/4 + 3*s/2 = 0. Calculate s.
0, 1/2, 1, 2, 3
Determine v, given that 2*v**5/7 + 20*v**4/7 - 4*v**3 - 64*v**2/7 + 26*v/7 + 44/7 = 0.
-11, -1, 1, 2
Solve -2*g**4 - 68*g**3 - 402*g**2 - 648*g = 0.
-27, -4, -3, 0
Factor -12*l**4 - 56*l**3 + 188*l**2 - 56*l.
-4*l*(l - 2)*(l + 7)*(3*l - 1)
Solve 63*u**4/4 - 69*u**3/4 - 123*u**2/2 + 69*u - 6 = 0 for u.
-2, 2/21, 1, 2
What is n in 2*n**4/9 - 14*n**3/9 - 2*n**2/9 + 14*n/9 = 0?
-1, 0, 1, 7
Factor -2*o**4/23 + 2*o**3/23 + 18*o**2/23 + 22*o/23 + 8/23.
-2*(o - 4)*(o + 1)**3/23
Factor 20*k**2 + 1915*k - 480.
5*(k + 96)*(4*k - 1)
Solve -5*n**2/4 + 255*n/2 - 13005/4 = 0.
51
Determine j, given that -2*j**2/13 - 38*j/13 - 180/13 = 0.
-10, -9
Factor 5*i**5 + 120*i**4 - 255*i**3 + 130*i**2.
5*i**2*(i - 1)**2*(i + 26)
Suppose -2*t**3 - 4*t**2 + 10*t + 12 = 0. What is t?
-3, -1, 2
Let -3236*i**2 - 3228*i + 8 = 0. Calculate i.
-1, 2/809
What is i in 3*i**5/4 + 9*i**4 + 51*i**3/4 - 51*i**2/2 - 27*i + 30 = 0?
-10, -2, 1
Factor -2*o**5 - 26*o**4 - 134*o**3 - 342*o**2 - 432*o - 216.
-2*(o + 2)**2*(o + 3)**3
Find f, given that 2*f**5/3 - 10*f**4/3 - 4*f**3 + 88*f**2/3 + 16*f/3 - 64 = 0.
-2, 2, 3, 4
Factor -284*a**3 - 3116*a**2 - 2752*a + 80.
-4*(a + 1)*(a + 10)*(71*a - 2)
Suppose 18*b**5 - 9489*b**4 + 1256085*b**3 - 1450965*b**2 - 210663*b + 415014 = 0. Calculate b.
-1/2, 2/3, 1, 263
Factor 2*r**2/19 + 82*r/19.
2*r*(r + 41)/19
Determine l, given that 28*l**5 + 44*l**4 - 5752*l**3/7 - 17456*l**2/7 - 8544*l/7 - 1152/7 = 0.
-4, -3, -2/7, 6
Factor 2*m**5/5 + 34*m**4/5 + 134*m**3/5 - 322*m**2/5 - 1568*m/5 + 2744/5.
2*(m - 2)**2*(m + 7)**3/5
Find q such that -q**4/5 + 3*q**3 + 138*q**2/5 + 68*q + 264/5 = 0.
-3, -2, 22
Let -3*j**2 + 24*j - 45 = 0. Calculate j.
3, 5
Suppose 6*w**4 + 207*w**3 - 6*w**2 - 207*w = 0. What is w?
-69/2, -1, 0, 1
Let -j**2 - 158*j - 6241 = 0. What is j?
-79
What is u in 3*u**4/5 - 24*u**3/5 + 57*u**2/5 - 36*u/5 = 0?
0, 1, 3, 4
What is m in -4*m**5 - 668*m**4 - 27548*m**3 + 28892*m**2 + 27552*m - 28224 = 0?
-84, -1, 1
Determine y, given that -y**4 - 43*y**3 - 440*y**2 + 484*y = 0.
-22, 0, 1
Let -100*w**4 + 288*w**3 - 264*w**2 + 64*w + 12 = 0. Calculate w.
-3/25, 1
Factor h**4 + 2*h**3 - 12*h**2 + 14*h - 5.
(h - 1)**3*(h + 5)
Suppose -4*o**4 + 40*o**3 - 60*o**2 - 40*o + 64 = 0. What is o?
-1, 1, 2, 8
What is a in a**4/10 + 4*a**3 + 429*a**2/10 + 459*a/5 - 1944/5 = 0?
-24, -9, 2
Factor 4*s**4 - 12524*s**3 - 25060*s**2 - 12532*s.
4*s*(s - 3133)*(s + 1)**2
Let -6*g**3/5 - 26*g**2/5 - 32*g/5 - 8/5 = 0. What is g?
-2, -1/3
What is o in 2*o**4/7 + 32*o**3/7 - 450*o**2/7 + 216*o/7 + 5400/7 = 0?
-25, -3, 6
Factor -s**2 + 32*s/3 + 11/3.
-(s - 11)*(3*s + 1)/3
Factor -2*v**3/5 - 46*v**2/5.
-2*v**2*(v + 23)/5
Determine h, given that -h**4/4 + 2*h**3 - 5*h**2/4 - 19*h/2 - 6 = 0.
-1, 4, 6
Factor -4*r**5 + 108*r**4 - 972*r**3 + 2916*r**2.
-4*r**2*(r - 9)**3
Factor r**2 - 13*r - 90.
(r - 18)*(r + 5)
Factor -4*v**3/5 - 64*v**2/5 - 284*v/5 - 224/5.
-4*(v + 1)*(v + 7)*(v + 8)/5
Factor 8*g**4 + 84*g**3 + 36*g**2 - 40*g.
4*g*(g + 1)*(g + 10)*(2*g - 1)
Find r such that -2*r**5 + 683*r**4 + 2409*r**3 + 2071*r**2 - 343*r - 690 = 0.
-2, -1, 1/2, 345
Determine y, given that -162*y**2 + 1872*y - 5408 = 0.
52/9
What is k in 3*k**2 - 1554*k + 201243 = 0?
259
Factor -5*a**2 - 6310*a - 1990805.
-5*(a + 631)**2
Factor 16*i**4 + 280*i**3 + 577*i**2 - 342*i + 45.
(i + 3)*(i + 15)*(4*i - 1)**2
Determine z so that 2*z**2/7 - 58*z/7 + 156/7 = 0.
3, 26
What is x in 4*x**3 - 48*x**2 - 108*x - 56 = 0?
-1, 14
Factor -2*h**2/9 + 16*h/9 + 160/3.
-2*(h - 20)*(h + 12)/9
Factor n**2 + 132*n.
n*(n + 132)
Solve -280*r**5 + 130*r**4 + 305*r**3 - 140*r**2 - 25*r + 10 = 0.
-1, -2/7, 1/4, 1/2, 1
Let -3*v**5/5 + 3*v**4 + 336*v**3/5 - 24*v**2/5 - 4176*v/5 + 5616/5 = 0. What is v?
-6, 2, 13
Find u such that u**3 + 1466*u**2 + 2929*u + 1464 = 0.
-1464, -1
Factor 4*t**2 - 24*t - 448.
4*(t - 14)*(t + 8)
Factor 3*m**4 + 129*m**3 + 801*m**2 + 1647*m + 972.
3*(m + 1)*(m + 3)**2*(m + 36)
Factor -g**3/2 - 1923*g**2/2 - 1232643*g/2 - 263374721/2.
-(g + 641)**3/2
Factor 4*o**4 - 184*o**3 + 2928*o**2 - 18632*o + 40460.
4*(o - 17)**2*(o - 7)*(o - 5)
Let 5*m**3 + 335*m**2 + 1075*m - 175655 = 0. Calculate m.
-43, 19
Solve 2*y**5 + 6*y**4 - 14*y**3 - 14*y**2 + 36*y - 16 = 0.
-4, -2, 1
Factor y**3/2 + 3*y**2/2 - 2*y - 6.
(y - 2)*(y + 2)*(y + 3)/2
Determine c so that c**5 + 58*c**4 + 166*c**3 + 52*c**2 - 167*c - 110 = 0.
-55, -2, -1, 1
Factor 5*r**2 - 65*r + 150.
5*(r - 10)*(r - 3)
Factor 34*t**2 + 112*t + 30.
2*(t + 3)*(17*t + 5)
Factor -4*f**3/7 + 12*f/7 + 8/7.
-4*(f - 2)*(f + 1)**2/7
Determine r so that r**3/11 + 16*r**2/11 + 25*r/11 - 42/11 = 0.
-14, -3, 1
Let 3*c**2 + 1740*c + 252300 = 0. What is c?
-290
Factor -4*n**4 - 4*n**3 + 440*n**2.
-4*n**2*(n - 10)*(n + 11)
Let -x**2/3 + 4*x/3 - 1 = 0. What is x?
1, 3
Let -k**5/6 + 17*k**4/6 - 79*k**3/6 + 47*k**2/6 + 40*k/3 - 32/3 = 0. What is k?
-1, 1, 8
Let 2*w**2 + 202*w - 204 = 0. What is w?
-102, 1
Factor -3*y**3/2 + 297*y**2 - 19602*y + 431244.
-3*(y - 66)**3/2
Factor -w**2/4 + 15*w/2 + 31/4.
-(w - 31)*(w + 1)/4
Factor 4*p**4 + 52*p**3 - 252*p**2 + 332*p - 136.
4*(p - 2)*(p - 1)**2*(p + 17)
Let -3*u**2 + 438*u - 435 = 0. Calculate u.
1, 145
Factor -14*r**2/5 + 2*r + 4/5.
-2*(r - 1)*(7*r + 2)/5
Let -3*n**5 + 36*n**4 + 12*n**3 - 426*n**2 - 729*n - 330 = 0. What is n?
-2, -1, 5, 11
Determine w so that w**3 + 26*w**2 + 45*w - 72 = 0.
-24, -3, 1
Factor -y**3/2 - y**2/2 + 21*y/2 + 45/2.
-(y - 5)*(y + 3)**2/2
Let g**4 + 67*g**3 + 1088*g**2 - 1156*g = 0. What is g?
-34, 0, 1
What is z in 2*z**4/3 + 8*z**3/3 - 2*z**2/3 - 8*z/3 = 0?
-4, -1, 0, 1
Suppose 5*i**3 + 190*i**2 + 185*i = 0. What is i?
-37, -1, 0
Determine g, given that -2*g**4/7 + 20*g**3/7 - 26*g**2/7 - 120*g/7 - 72/7 = 0.
-1, 6
Find m such that -3*m**2/4 + 9*m/4 + 15/2 = 0.
-2, 5
Find b such that 2*b**5 - 112*b**4 + 2116*b**3 - 14144*b**2 + 12138*b = 0.
0, 1, 17, 21
Solve -5*x**4 - 360*x**3 - 8970*x**2 - 84640*x - 182505 = 0 for x.
-23, -3
Solve 2*m**3/9 - 128*m**2/3 + 8192*m/3 - 524288/9 = 0 for m.
64
Let c**3/4 - 11*c**2/2 - 23*c/4 = 0. What is c?
-1, 0, 23
Solve -4*h**3/3 + 8*h**2 - 20*h/3 = 0.
0, 1, 5
Factor 4*s**3/5 + 84*s**2/5 + 156*s/5 + 76/5.
4*(s + 1)**2*(s + 19)/5
Factor -5*l**2 + 110*l.
-5*l*(l - 22)
Let w**2 + 8*w + 12 = 0. What is w?
-6, -2
Factor 2*a**4 - 176*a**3 + 4810*a**2 - 38332*a.
2*a*(a - 37)**2*(a - 14)
Factor 2*c**3/11 + 76*c**2/11 + 72*c + 1296/11.
2*(c + 2)*(c + 18)**2/11
Let 4*c**5 - 12*c**4 - 104*c**3 + 288*c**2 + 640*c - 1536 = 0. What is c?
-4, -3, 2, 4
Let 2*p**5 + 16*p**4 + 30*p**3 - 16*p**2 - 32*p = 0. Calculate p.
-4, -1, 0, 1
Solve 2*z**2/9 - 1528*z/3 + 291848 = 0.
1146
Find m such that m**3 + 39*m**2 + 75*m + 37 = 0.
-37, -1
Factor -2*l**2/9 + 14*l/9 - 8/3.
-2*(l - 4)*(l - 3)/9
Factor -k**2/6 - 19*k/2 + 1079/3.
-(k - 26)*(k + 83)/6
Let -p**3/2 - 21*p**2/2 - 60*p - 104 = 0. Calculate p.
-13, -4
Suppose -2*w**3/9 - 64*w**2/9 + 134*w/9 - 68/9 = 0. What is w?
-34, 1
Determine k so that -3*k**2/7 + 3*k/7 + 60/7 = 0.
-4, 5
Find y such that 13778*y**3 + 3984*y**2 + 288*y = 0.
-12/83, 0
Determine b 