.
5*i*(i - 1)*(i + 1)*(i + 6)
Find d, given that -d**4 + 38*d**3 - 35*d**2 - 74*d = 0.
-1, 0, 2, 37
Determine x so that -3*x**4/5 + 78*x**3/5 - 327*x**2/5 - 468*x - 540 = 0.
-2, 15
Find c such that 3*c**5 + 276*c**4/7 - 6*c**3/7 - 84*c**2 - 15*c/7 + 312/7 = 0.
-13, -8/7, -1, 1
Find i such that 2*i**2 - 508*i + 506 = 0.
1, 253
Solve 4*q**4 + 24*q**3 - 60*q**2 - 400*q = 0.
-5, 0, 4
Factor -2*y**4 + 24*y**3 - 70*y**2.
-2*y**2*(y - 7)*(y - 5)
Suppose 12*j**2 + 52*j/5 + 8/5 = 0. Calculate j.
-2/3, -1/5
Suppose 3*n**5/7 + 237*n**4/7 + 690*n**3/7 + 456*n**2/7 = 0. Calculate n.
-76, -2, -1, 0
Let -2*z**2/15 + 12*z = 0. What is z?
0, 90
Factor -4*a**2 + 4292*a + 4296.
-4*(a - 1074)*(a + 1)
Let -3*r**5 - 18*r**4 = 0. Calculate r.
-6, 0
Solve 5*q**4 - 50*q**3 + 135*q**2 - 90*q = 0 for q.
0, 1, 3, 6
Solve -5*l**4 - 70*l**3 - 45*l**2 + 280*l + 260 = 0 for l.
-13, -2, -1, 2
Solve 4*v**4/5 - 492*v**3/5 + 3260*v**2 - 71508*v/5 + 55696/5 = 0.
1, 4, 59
Factor 5*j**3/2 - 405*j**2/2 + 7995*j/2 + 8405/2.
5*(j - 41)**2*(j + 1)/2
Factor 3*t**2 - 54*t + 168.
3*(t - 14)*(t - 4)
Suppose n**4 - 28*n**3/5 - 3*n**2 + 18*n/5 = 0. Calculate n.
-1, 0, 3/5, 6
Factor 4*o**3 - 92*o**2 - 104*o + 192.
4*(o - 24)*(o - 1)*(o + 2)
Factor -2*f**2/9 - 7744*f/3 - 7496192.
-2*(f + 5808)**2/9
Let -3*c**5 + 6*c**4 - 6*c**2 + 3*c = 0. What is c?
-1, 0, 1
Let -2*u**5 - 6*u**4 + 68*u**3 + 140*u**2 - 450*u + 250 = 0. What is u?
-5, 1, 5
Factor -2*z**2/5 - 38*z/5 + 132/5.
-2*(z - 3)*(z + 22)/5
Factor o**2 - 120*o - 244.
(o - 122)*(o + 2)
Determine p, given that -4*p**4 + 40*p**3 - 132*p**2 + 144*p = 0.
0, 3, 4
Suppose -3*c**5/4 + 3*c**4/2 + 6*c**3 - 27*c**2/2 + 27*c/4 = 0. What is c?
-3, 0, 1, 3
Factor r**2/5 - 418*r/5 + 43681/5.
(r - 209)**2/5
Determine f, given that 2*f**2/15 - 28*f/15 + 6 = 0.
5, 9
Find q such that -2*q**5/11 + 2*q**4/11 + 2*q**3/11 - 2*q**2/11 = 0.
-1, 0, 1
Factor -10*b**3/7 + 164*b**2/7 - 40*b - 3600/7.
-2*(b - 10)**2*(5*b + 18)/7
What is r in 3*r**4 + 15*r**3 + 24*r**2 + 12*r = 0?
-2, -1, 0
Let 8*i**3 + 394*i**2 + 482*i + 96 = 0. Calculate i.
-48, -1, -1/4
Factor j**2/5 - 87*j/5 + 86/5.
(j - 86)*(j - 1)/5
Factor 4*x**4 + 124*x**3 + 344*x**2 + 224*x.
4*x*(x + 1)*(x + 2)*(x + 28)
Let -x**3/6 - 47*x**2/6 - 575*x/6 - 529/6 = 0. Calculate x.
-23, -1
Suppose -3*h**2 - 12*h + 63 = 0. Calculate h.
-7, 3
Factor 4*f**2 - 228*f + 1568.
4*(f - 49)*(f - 8)
Suppose f**4/2 - 3*f**3 - 49*f**2/2 - 33*f = 0. Calculate f.
-3, -2, 0, 11
What is z in -3*z**3 + 87*z**2 - 525*z + 441 = 0?
1, 7, 21
Solve -3*q**5/8 + 3*q**4/8 + 39*q**3/8 - 3*q**2/8 - 18*q - 27/2 = 0 for q.
-2, -1, 3
Let 2*o**5/7 + 38*o**4/7 - 4*o**3/7 - 76*o**2/7 + 2*o/7 + 38/7 = 0. Calculate o.
-19, -1, 1
Determine k so that -3*k**3/2 - 75*k**2 - 771*k/2 + 462 = 0.
-44, -7, 1
Factor -2*k**4 + 44*k**3 - 42*k**2.
-2*k**2*(k - 21)*(k - 1)
Factor 5*l**5 - 40*l**4 + 30*l**3 + 40*l**2 - 35*l.
5*l*(l - 7)*(l - 1)**2*(l + 1)
Find g, given that 3*g**2 - 12*g - 15 = 0.
-1, 5
Determine p so that 4*p**5 - 8*p**4 + 8*p**2 - 4*p = 0.
-1, 0, 1
Factor 2*i**5 - 14*i**4 + 20*i**3.
2*i**3*(i - 5)*(i - 2)
Factor 3*h**4/8 + 15*h**3/8 + 3*h**2 + 3*h/2.
3*h*(h + 1)*(h + 2)**2/8
Let 6*m**4/5 - 74*m**3/5 + 30*m**2 - 102*m/5 + 4 = 0. Calculate m.
1/3, 1, 10
Suppose -2*y**4/3 - 194*y**3/3 + 14*y**2/3 + 1346*y/3 - 388 = 0. Calculate y.
-97, -3, 1, 2
Suppose -2*m**4/19 - 160*m**3/19 + 2*m**2/19 + 160*m/19 = 0. What is m?
-80, -1, 0, 1
Factor 5*d**2/4 - 7*d/2 + 9/4.
(d - 1)*(5*d - 9)/4
Factor -f**2/2 + 175*f/2.
-f*(f - 175)/2
Factor -p**3 - 2*p**2 + 24*p.
-p*(p - 4)*(p + 6)
Determine j so that 2*j**3/5 - 22*j**2/5 + 52*j/5 - 32/5 = 0.
1, 2, 8
Find p such that -2*p**5/5 - 176*p**4/5 - 4364*p**3/5 - 21648*p**2/5 - 30258*p/5 = 0.
-41, -3, 0
Factor -6*x**3 - 171*x**2 - 513*x + 300.
-3*(x + 4)*(x + 25)*(2*x - 1)
Factor 2*p**3/11 + 94*p**2/11 - 532*p/11 - 624/11.
2*(p - 6)*(p + 1)*(p + 52)/11
Suppose -8*f**3/13 - 782*f**2/13 - 1540*f/13 - 766/13 = 0. Calculate f.
-383/4, -1
Determine z, given that 14*z**4 - 34*z**3 - 30*z**2 + 18*z = 0.
-1, 0, 3/7, 3
Find d, given that 2*d**4 - 4*d**3 + 2*d**2 = 0.
0, 1
Suppose 18*w**4 + 102*w**3 + 20*w**2 - 184*w + 80 = 0. What is w?
-5, -2, 2/3
Factor -4*u**2/3 + 16*u.
-4*u*(u - 12)/3
Factor -y**5/2 - 1091*y**4/2 - 299203*y**3/2 - 891073*y**2/2 - 444448*y - 147968.
-(y + 1)**3*(y + 544)**2/2
Factor -2*q**2/9 - 400*q/3 - 20000.
-2*(q + 300)**2/9
Suppose -2*a**5/9 - 16*a**4/9 - 50*a**3/9 - 76*a**2/9 - 56*a/9 - 16/9 = 0. Calculate a.
-2, -1
Factor -17*f**2/6 - 19*f/6 - 1/3.
-(f + 1)*(17*f + 2)/6
Find l, given that 38*l**5/5 + 64*l**4/5 + 14*l**3/5 - 12*l**2/5 = 0.
-1, 0, 6/19
Solve 28*r**3 + 328*r**2 + 912*r - 288 = 0.
-6, 2/7
Factor 2*r**2/3 - 47*r/3 - 49/3.
(r + 1)*(2*r - 49)/3
Factor -18*z**3 + 44*z**2 + 38*z - 24.
-2*(z - 3)*(z + 1)*(9*z - 4)
Find d, given that -2*d**4/5 - 6*d**3/5 + 162*d**2/5 - 594*d/5 + 648/5 = 0.
-12, 3
Let -i**4/2 + 63*i**3 - 186*i**2 + 185*i - 123/2 = 0. What is i?
1, 123
Factor -3*m**2 + 81*m + 84.
-3*(m - 28)*(m + 1)
Determine b, given that -72*b**2/5 - 600*b - 6250 = 0.
-125/6
Determine y, given that -5*y**5 + 65*y**4 - 300*y**3 + 640*y**2 - 640*y + 240 = 0.
1, 2, 6
Factor 2*l**2/3 - 48*l + 280/3.
2*(l - 70)*(l - 2)/3
Factor -55*m**2 + 65*m + 350.
-5*(m + 2)*(11*m - 35)
Solve -3*m**4 - 183*m**3 + 9*m**2 + 555*m + 366 = 0.
-61, -1, 2
Find f, given that -2*f**4 - 86*f**3 + 270*f**2 - 274*f + 92 = 0.
-46, 1
Solve -5*g**3/4 - 5*g**2 + 5*g + 20 = 0 for g.
-4, -2, 2
Factor x**4/3 + 46*x**3/3 + 569*x**2/3 + 836*x/3 - 484.
(x - 1)*(x + 3)*(x + 22)**2/3
Factor 2*m**4/9 - 20*m**3/9 + 38*m**2/9 + 20*m/3.
2*m*(m - 6)*(m - 5)*(m + 1)/9
Factor 5*n**5 + 15*n**4 - 5*n**3 - 55*n**2 - 60*n - 20.
5*(n - 2)*(n + 1)**3*(n + 2)
What is u in 3*u**3 + 1086*u**2 + 97188*u - 198744 = 0?
-182, 2
Suppose -5*j**3 - 165*j**2 - 315*j - 155 = 0. What is j?
-31, -1
Solve -2*o**2/11 - 18*o/11 + 72/11 = 0 for o.
-12, 3
Determine c so that 6*c**5 - 14*c**4 - 2*c**3 + 14*c**2 - 4*c = 0.
-1, 0, 1/3, 1, 2
Solve 10*m**5/3 - 22*m**4 + 32*m**3/3 + 8*m**2 = 0.
-2/5, 0, 1, 6
Let -3*a**5 - 30*a**4 - 75*a**3 + 108*a = 0. Calculate a.
-6, -3, -2, 0, 1
Determine u, given that -u**2/5 + 69*u/5 - 728/5 = 0.
13, 56
Solve g**4 + 96*g**3 + 2944*g**2 + 30720*g + 102400 = 0 for g.
-40, -8
What is w in w**5/6 + w**4/3 - 2*w**3 - 3*w**2 + 9*w/2 = 0?
-3, 0, 1, 3
Let 3*x**4 - 18*x**3 - 45*x**2 - 24*x = 0. Calculate x.
-1, 0, 8
Determine g so that g**2/5 - 28*g/5 + 27/5 = 0.
1, 27
Find p such that 5*p**4 - 43*p**3 + 15*p**2 + 79*p - 56 = 0.
-7/5, 1, 8
Determine k, given that k**3 + 558*k**2 + 1667*k + 1110 = 0.
-555, -2, -1
Factor p**3/3 + 236*p**2/3.
p**2*(p + 236)/3
Find f, given that 10*f**2 - 3078*f - 616 = 0.
-1/5, 308
Factor 3*z**3 + 33*z**2 + 90*z.
3*z*(z + 5)*(z + 6)
Factor 4*t**3/7 + 8*t**2/7 - 16*t/7 - 32/7.
4*(t - 2)*(t + 2)**2/7
Factor -w**4/5 + 44*w**3/5 - 38*w**2/5 - 212*w/5 - 129/5.
-(w - 43)*(w - 3)*(w + 1)**2/5
Factor 33*k**3 + 126*k**2 - 189*k + 30.
3*(k - 1)*(k + 5)*(11*k - 2)
Factor 3*b**5/2 - 33*b**4/2 + 129*b**3/2 - 219*b**2/2 + 84*b - 24.
3*(b - 4)**2*(b - 1)**3/2
What is l in -2*l**5/9 + 38*l**4/3 - 722*l**3/3 + 13718*l**2/9 = 0?
0, 19
Solve 240*l**5 - 244*l**4 - 76*l**3 + 64*l**2 + 16*l = 0.
-2/5, -1/4, 0, 2/3, 1
Factor -2*r**4 + 8*r**3 + 8*r**2 - 32*r.
-2*r*(r - 4)*(r - 2)*(r + 2)
Factor -6*g**2 - 3402*g/5 - 1356/5.
-6*(g + 113)*(5*g + 2)/5
Factor -64*z**5 - 560*z**4 + 7796*z**3 + 6047*z**2 + 1528*z + 128.
-(z - 8)*(z + 16)*(4*z + 1)**3
Factor -p**3/3 - 8*p**2/3 + 11*p.
-p*(p - 3)*(p + 11)/3
Factor -4*o**4 + 32*o**3 - 64*o**2.
-4*o**2*(o - 4)**2
Suppose i**4 - 3*i**2 + 2*i = 0. Calculate i.
-2, 0, 1
Determine k, given that -12*k**4/11 - 138*k**3/11 + 1152*k**2/11 - 1890*k/11 = 0.
-35/2, 0, 3
Solve 4*p**2 + 84*p + 80 = 0 for p.
-20, -1
Factor 2*p**3 - 106*p**2.
2*p**2*(p - 53)
Determine o, given that 2*o**3/21 + 1598*o**2/21 - 1600*o/21 = 0.
-800, 0, 1
Find v, given that -2*v**3/15 + 22*v**2/15 + 184*v/5 + 576/5 = 0.
-9, -4, 24
Suppose -y**4/7 - 29*y**3/7 - 15*y**2 + 1921*y/7 + 578 = 0. Calculate y.
-17, -2, 7
Suppose -4*k**4 - 12*k**3 + 8*k**2 + 48*k + 32 = 0. What is k?
-2, -1, 2
Solve -44*m**3/5 + 784*m**2/5 - 464*m - 448/5 = 0 for m.
-2/11, 4, 14
What is n in -25*n**5 + 135*n**4 - 150*n**3 + 40*n**2 = 0?
0, 2/5, 1, 4
Let 2*a**