1
Suppose -4*r**4 - 28*r**3 - 56*r**2 - 32*r = 0. Calculate r.
-4, -2, -1, 0
Factor 5*b**2 + 670*b + 22445.
5*(b + 67)**2
Suppose -4*l**4 - 1453*l**3 + 6997*l**2 + 1840*l = 0. Calculate l.
-368, -1/4, 0, 5
Factor -4*z**5 - 292*z**4 - 6576*z**3 - 31616*z**2 + 302848*z - 421824.
-4*(z - 3)*(z - 2)*(z + 26)**3
Determine i so that -2*i**4/7 + 752*i**3/7 - 106032*i**2/7 + 6644672*i/7 - 156149792/7 = 0.
94
Factor -3*l**3/5 - 3*l**2/5 + 3*l/5 + 3/5.
-3*(l - 1)*(l + 1)**2/5
Factor 2*z**3/13 - 2802*z**2/13 + 979998*z/13 + 982802/13.
2*(z - 701)**2*(z + 1)/13
Solve -2*r**5 - 142*r**4/3 + 68*r**3 + 92*r**2/3 - 66*r + 50/3 = 0.
-25, -1, 1/3, 1
Let 3*v**3/4 - 3*v**2 + 15*v/4 - 3/2 = 0. What is v?
1, 2
Suppose 2*k**5/3 + 14*k**4/3 + 20*k**3/3 - 4*k**2/3 - 22*k/3 - 10/3 = 0. What is k?
-5, -1, 1
Determine m so that m**3 - 15*m**2 + 63*m - 81 = 0.
3, 9
Factor 98*q**3/3 + 23968*q**2/3 + 13672*q/3 + 1952/3.
2*(q + 244)*(7*q + 2)**2/3
Factor m**3/3 - 5*m**2/3 + 2*m.
m*(m - 3)*(m - 2)/3
Determine u, given that u**2 + 20*u - 44 = 0.
-22, 2
Factor i**4/7 - 17*i**3/7 + 87*i**2/7 - 135*i/7.
i*(i - 9)*(i - 5)*(i - 3)/7
Suppose 2*c**4 + 634*c**3/3 + 3164*c**2 + 4832*c + 5632/3 = 0. What is c?
-88, -16, -1, -2/3
Factor 2*u**4/3 + 392*u**3/3 + 19976*u**2/3 + 25088*u + 24576.
2*(u + 2)**2*(u + 96)**2/3
Factor o**4/2 - 47*o**3/2 + 555*o**2/2 - 2525*o/2 + 2000.
(o - 32)*(o - 5)**3/2
Solve 2*k**4/3 - 484*k**3/3 = 0.
0, 242
What is i in 3*i**2 - 131*i - 44 = 0?
-1/3, 44
Factor -l**5/4 + l**4/2.
-l**4*(l - 2)/4
Factor -4*w**3 - 21552*w**2 - 38707392*w - 23172825344.
-4*(w + 1796)**3
Factor -2*f**2/3 - 840*f - 264600.
-2*(f + 630)**2/3
Determine n so that 5*n**4 + 15*n**3 - 20*n = 0.
-2, 0, 1
Factor 2*o**2/3 + 52*o/3.
2*o*(o + 26)/3
Suppose -2*a**4 - 42*a**3 - 78*a**2 - 38*a = 0. Calculate a.
-19, -1, 0
Factor o**2/3 + 13*o + 74/3.
(o + 2)*(o + 37)/3
What is z in -3*z**4 - 6*z**3 + 81*z**2 - 156*z + 84 = 0?
-7, 1, 2
Factor j**5/5 - j**4 + 6*j**3/5 + 4*j**2/5 - 8*j/5.
j*(j - 2)**3*(j + 1)/5
Factor 8*c**4 + 44*c**3 + 68*c**2 + 24*c.
4*c*(c + 2)*(c + 3)*(2*c + 1)
Solve 9*i**5 + 352*i**4 + 13804*i**3/3 + 20254*i**2 + 1859*i - 4394/3 = 0 for i.
-13, -1/3, 2/9
Factor -2*h**3 + 24*h**2 - 90*h + 108.
-2*(h - 6)*(h - 3)**2
Let -h**5/4 - 3*h**4 - 11*h**3 - 35*h**2/2 - 51*h/4 - 7/2 = 0. What is h?
-7, -2, -1
Factor -c**2/2 + 58*c - 1682.
-(c - 58)**2/2
Solve -4*n**4/7 - 32*n**3/7 - 60*n**2/7 + 32*n/7 + 64/7 = 0.
-4, -1, 1
Factor 2*j**3/7 + 288*j**2/7 + 10074*j/7 - 21316/7.
2*(j - 2)*(j + 73)**2/7
What is t in -2*t**2/11 - 326*t/11 - 324/11 = 0?
-162, -1
Find f such that -4*f**4 + 4*f**3 + 68*f**2 - 84*f - 144 = 0.
-4, -1, 3
Factor p**2/5 - 192*p/5 - 193/5.
(p - 193)*(p + 1)/5
Factor 2*d**3/11 + 4*d**2/11 - 32*d/11 - 64/11.
2*(d - 4)*(d + 2)*(d + 4)/11
Find n, given that -n**5 + 10*n**4 - 29*n**3 + 8*n**2 + 48*n = 0.
-1, 0, 3, 4
Find g, given that -12*g**5 + 105*g**4 - 153*g**3 + 39*g**2 + 21*g = 0.
-1/4, 0, 1, 7
Let 2*n**4/7 + 4*n**3 + 128*n**2/7 + 192*n/7 = 0. Calculate n.
-6, -4, 0
Let -3*j**4/8 + 9*j**3/8 - 3*j**2/4 = 0. Calculate j.
0, 1, 2
Factor -j**2/4 - 7*j - 13.
-(j + 2)*(j + 26)/4
Determine d, given that d**5/3 - 25*d**4/3 - 485*d**3/3 - 765*d**2 - 1080*d - 468 = 0.
-6, -1, 39
Find u, given that 2*u**5 + 1582*u**4 + 313620*u**3 + 304156*u**2 - 1555510*u + 936150 = 0.
-395, -3, 1
Find w such that -w**4 - 1136*w**3 - 483936*w**2 - 91625216*w - 6505390336 = 0.
-284
Factor 2*y**3/3 + 70*y**2 + 2450*y + 85750/3.
2*(y + 35)**3/3
What is i in -2*i**3/5 - 6*i**2 - 36*i/5 + 432/5 = 0?
-12, -6, 3
Find d, given that -4*d**3 + 64*d**2 - 180*d - 648 = 0.
-2, 9
Solve p**3 - 62*p**2 + 961*p = 0 for p.
0, 31
Determine j so that -5*j**2 - 692*j - 276 = 0.
-138, -2/5
Let 2*r**4 - 10*r**3 = 0. What is r?
0, 5
Find z such that -15*z**4/2 + 5*z**3 + 315*z**2/2 + 45*z - 100 = 0.
-4, -1, 2/3, 5
Factor 33*g**3/5 + 39*g**2/5 + 6*g/5.
3*g*(g + 1)*(11*g + 2)/5
Factor 3*w**2 + 405*w + 402.
3*(w + 1)*(w + 134)
Determine y, given that -2*y**2/5 + 88*y/5 - 896/5 = 0.
16, 28
Factor -3*a**2 + 51*a + 180.
-3*(a - 20)*(a + 3)
Factor 60*c**2 + 25*c - 15.
5*(3*c - 1)*(4*c + 3)
Factor r**2/5 + 5*r - 26/5.
(r - 1)*(r + 26)/5
Solve 4*q**5 + 48*q**4 - 72*q**3 - 864*q**2 + 324*q + 3888 = 0 for q.
-12, -3, 3
Factor 3*m**3/2 + 195*m**2/2 - 201*m.
3*m*(m - 2)*(m + 67)/2
Factor 2*i**2/9 - 50*i/9 + 28.
2*(i - 18)*(i - 7)/9
Let 5*m**5 - 45*m**4 + 25*m**3 + 665*m**2 - 1650*m + 1000 = 0. Calculate m.
-4, 1, 2, 5
Solve 2*j**4 + 48*j**3 + 330*j**2 + 484*j = 0 for j.
-11, -2, 0
Suppose 3*z**3 - 309*z**2 - 318*z + 624 = 0. What is z?
-2, 1, 104
Determine n, given that n**4/4 + n**3/4 = 0.
-1, 0
Factor -4*d**4 - 63*d**3 + 156*d**2 - 107*d + 18.
-(d - 1)**2*(d + 18)*(4*d - 1)
Let o**5 + 52*o**4/3 - 52*o**3 + 80*o**2/3 = 0. What is o?
-20, 0, 2/3, 2
Factor -5*t**3 - 270*t**2 - 3645*t.
-5*t*(t + 27)**2
Let 10*r**5/3 + 118*r**4/3 + 496*r**3/3 + 856*r**2/3 + 448*r/3 - 128/3 = 0. Calculate r.
-4, -2, 1/5
Suppose -9*b**4 + 54*b**3 - 80*b**2 + 32*b = 0. What is b?
0, 2/3, 4/3, 4
Solve -4*f**5/9 + 92*f**4/9 + 76*f**3/3 - 620*f**2/9 - 1952*f/9 - 400/3 = 0.
-2, -1, 3, 25
Factor -f**4/4 - 39*f**3/4 - 143*f**2/4 - 105*f/4.
-f*(f + 1)*(f + 3)*(f + 35)/4
What is p in -4*p**2 - 144*p + 148 = 0?
-37, 1
Suppose 108*u**5 - 540*u**4 - 72*u**3 + 328*u**2 + 156*u + 20 = 0. Calculate u.
-1/3, 1, 5
Find j such that j**2/3 + 1547*j/3 + 1546/3 = 0.
-1546, -1
Solve -3*r**2 + 2358*r + 7101 = 0 for r.
-3, 789
Solve -y**4/2 - 2*y**3 = 0.
-4, 0
Find x, given that 3*x**3 + 24*x**2 + 39*x + 18 = 0.
-6, -1
Let -t**2 + 11*t + 60 = 0. What is t?
-4, 15
Determine l, given that 3*l**3 + 1959*l**2/7 - 1416*l/7 - 564/7 = 0.
-94, -2/7, 1
Suppose l**4/5 - 2*l**3/5 - 11*l**2/5 + 12*l/5 + 36/5 = 0. Calculate l.
-2, 3
Factor 3*r**2 - 2382*r + 472827.
3*(r - 397)**2
Let -15*o**3 - 130*o**2 + 55*o + 90 = 0. Calculate o.
-9, -2/3, 1
Factor 5*q**4/3 - 3680*q**3/3 + 223240*q**2 + 2723200*q/3 + 2738000/3.
5*(q - 370)**2*(q + 2)**2/3
Factor -2*f**3/5 + 18*f**2/5 + 4*f.
-2*f*(f - 10)*(f + 1)/5
Factor 3*k**2 + 18*k + 15.
3*(k + 1)*(k + 5)
Factor 2*b**3 + 32*b**2 + 50*b - 84.
2*(b - 1)*(b + 3)*(b + 14)
Solve -5*g**2 - 265*g - 1200 = 0.
-48, -5
Factor -c**2/2 - 30*c - 450.
-(c + 30)**2/2
What is g in -g**3 + 280*g**2 - 557*g + 278 = 0?
1, 278
Let 8*z**5 - 18*z**4 - 26*z**3 + 18*z**2 + 18*z = 0. Calculate z.
-1, -3/4, 0, 1, 3
Find f, given that -2*f**5 - 356*f**4/3 - 1382*f**3/9 + 604*f**2/9 + 1400*f/9 + 464/9 = 0.
-58, -1, -2/3, 1
Factor 3*r**2/7 - 348*r/7 + 192.
3*(r - 112)*(r - 4)/7
Factor 2*f**3/7 + 2*f**2/7 - 4*f/7.
2*f*(f - 1)*(f + 2)/7
Let -22*d**3/3 - 791*d**2/3 + 850*d/3 - 37/3 = 0. What is d?
-37, 1/22, 1
Suppose -8*o**4 + 198*o**3 + 82*o**2 - 792*o - 200 = 0. Calculate o.
-2, -1/4, 2, 25
Let 5*d**3 - 490*d**2 + 9805*d + 112360 = 0. Calculate d.
-8, 53
Find w such that -4*w**2/3 - 25*w/3 + 7 = 0.
-7, 3/4
Suppose 2*i**3 - 12*i**2 - 14*i = 0. What is i?
-1, 0, 7
Factor -15*o**4 + 125*o**3 - 285*o**2 + 255*o - 80.
-5*(o - 1)**3*(3*o - 16)
Factor -w**2/3 + 821*w/3 + 274.
-(w - 822)*(w + 1)/3
What is l in -219*l**5/4 + 3*l**4/2 = 0?
0, 2/73
Factor 5*x**4 + 85*x**3 + 285*x**2 + 335*x + 130.
5*(x + 1)**2*(x + 2)*(x + 13)
Factor -16*q**4 - 164*q**3 - 184*q**2 - 36*q.
-4*q*(q + 1)*(q + 9)*(4*q + 1)
Factor 3*o**2 + 63*o - 66.
3*(o - 1)*(o + 22)
Factor m**2/11 + 16*m + 704.
(m + 88)**2/11
Determine v, given that 8*v**5 - 470*v**4 - 1158*v**3 + 3644*v**2 + 976*v = 0.
-4, -1/4, 0, 2, 61
Let -r**2/2 + 7*r/2 - 6 = 0. What is r?
3, 4
Factor 20*s**2 - 562*s + 276.
2*(2*s - 1)*(5*s - 138)
Factor t**4/4 - 2*t**3 + 6*t**2 - 8*t + 4.
(t - 2)**4/4
Factor -2*m**5/15 - 2*m**4/5 - 4*m**3/15.
-2*m**3*(m + 1)*(m + 2)/15
Determine v, given that -3*v**3 + 271*v**2 + 740*v + 372 = 0.
-2, -2/3, 93
Factor -2*k**3/11 + 62*k**2/11 - 116*k/11.
-2*k*(k - 29)*(k - 2)/11
Find x, given that 3*x**3/2 + 61*x**2/2 + 9*x - 20 = 0.
-20, -1, 2/3
Let h**4/6 + 2*h**3/3 + 5*h**2/6 + h/3 = 0. What is h?
-2, -1, 0
What is o in 2*o**2/19 + 18*o/19 = 0?
-9, 0
Determine j so that -2*j**4/7 + 34*j**3/7 - 30*j**2 + 550*j/7 - 500/7 = 0.
2, 5
Factor -4*w**2/5 - 284*w/5 - 56.
-4*(w + 1)*(w + 70)/5
Factor 5*b**3 + 780*b**2 - 5*b - 780.
5*(b - 1)*(b + 1)*(b + 156)
Solve -3*s**3 + 252*s**2 - 4140*s - 50784 = 0 for s.
-8, 46
Determine