te l.
-2, 0, 1/2, 1
Factor -15*f**3 - 310*f**2 - 740*f - 360.
-5*(f + 2)*(f + 18)*(3*f + 2)
Factor -200*r**2 - 2805*r - 70.
-5*(r + 14)*(40*r + 1)
Find r, given that -6*r**3/5 - 3636*r**2 - 3672360*r - 1236361200 = 0.
-1010
Suppose 2*i**2/15 - 38*i/15 = 0. What is i?
0, 19
Determine q so that 101*q**2/2 + 201*q/4 - 1/4 = 0.
-1, 1/202
Solve -3*q**2/4 + 30*q - 288 = 0 for q.
16, 24
Find p, given that -3*p**5/5 + 87*p**4/5 - 81*p**3/5 - 87*p**2/5 + 84*p/5 = 0.
-1, 0, 1, 28
Factor -5*z**2 + 370*z.
-5*z*(z - 74)
Let -5*y**4/6 - 115*y**3/6 + 95*y**2/2 + 895*y/6 + 250/3 = 0. Calculate y.
-25, -1, 4
Find p, given that -4*p**4 - 8*p**3 + 92*p**2 + 96*p - 576 = 0.
-4, 3
Factor -5*a**4 + 20*a**2.
-5*a**2*(a - 2)*(a + 2)
Solve 20*w**5 + 152*w**4 + 52*w**3 - 608*w**2 - 528*w = 0.
-33/5, -2, -1, 0, 2
Factor 7*w**3 + 810*w**2 + 573*w - 230.
(w + 1)*(w + 115)*(7*w - 2)
Factor 3872*s**2/15 + 1232*s/15 + 98/15.
2*(44*s + 7)**2/15
Solve 2*a**4 - 898*a**3 + 99432*a**2 + 310072*a - 408608 = 0 for a.
-4, 1, 226
Find p such that -16*p**4/5 + 26*p**3/5 + 6*p**2/5 - 26*p/5 + 2 = 0.
-1, 5/8, 1
Factor h**2 - 13960*h + 48720400.
(h - 6980)**2
Factor 4*t**2/3 + 2312*t/3 + 334084/3.
4*(t + 289)**2/3
Suppose 35*n**3 + 235*n**2 - 70*n = 0. What is n?
-7, 0, 2/7
Let -2*x**2/9 + 818*x/9 + 824/3 = 0. Calculate x.
-3, 412
Factor -25*h**3/4 + 205*h**2 - 161*h + 32.
-(h - 32)*(5*h - 2)**2/4
Factor 4*n**5/7 - 1628*n**4/7 - 4908*n**3/7 - 4916*n**2/7 - 1640*n/7.
4*n*(n - 410)*(n + 1)**3/7
Factor 4*i**2 + 132*i - 1312.
4*(i - 8)*(i + 41)
Let 4*r**4 - 28*r**3 + 60*r**2 - 36*r = 0. What is r?
0, 1, 3
Factor 20*y**2/3 + 9308*y/3 + 1240.
4*(y + 465)*(5*y + 2)/3
Let 5*v**3 - 420*v**2 + 7920*v + 38720 = 0. What is v?
-4, 44
Factor 3*l**3 - 6*l**2 - 15*l + 18.
3*(l - 3)*(l - 1)*(l + 2)
Let -2*d**2/17 + 416*d/17 - 21632/17 = 0. Calculate d.
104
Factor p**3/5 + 68*p**2/5 + 133*p/5 + 66/5.
(p + 1)**2*(p + 66)/5
Suppose 42*v**4/5 + 618*v**3/5 - 222*v**2/5 - 618*v/5 + 36 = 0. What is v?
-15, -1, 2/7, 1
Factor u**3/5 - 911*u**2/5 + 41587*u - 41405.
(u - 455)**2*(u - 1)/5
Find c such that -4*c**3 - 80*c**2 - 188*c + 272 = 0.
-17, -4, 1
Factor -r**5 + 21*r**4 + r**3 - 21*r**2.
-r**2*(r - 21)*(r - 1)*(r + 1)
Factor -3*t**4 + 6*t**3 + 3*t**2 - 6*t.
-3*t*(t - 2)*(t - 1)*(t + 1)
Find r such that 3*r**5 + 90*r**4 - 393*r**3 + 504*r**2 - 204*r = 0.
-34, 0, 1, 2
Find i, given that -i**2 - 192*i - 9216 = 0.
-96
Let -a**2/8 - 1999*a/8 = 0. Calculate a.
-1999, 0
Solve -3*t**5 + 111*t**4 + 495*t**3 - 111*t**2 - 492*t = 0 for t.
-4, -1, 0, 1, 41
Determine v so that -3*v**4 + 357*v**3 + 2214*v**2 + 4476*v + 3000 = 0.
-2, 125
Solve -8*l**3/3 - 130*l**2 + 914*l/3 - 68 = 0.
-51, 1/4, 2
Find n such that -8*n**3 - 268*n**2 + 428*n + 280 = 0.
-35, -1/2, 2
Suppose -3*q**5/2 + 54*q**4 - 291*q**3/2 - 117*q**2 + 606*q - 396 = 0. Calculate q.
-2, 1, 2, 33
Let s**5 + 63*s**4 - s**3 - 63*s**2 = 0. What is s?
-63, -1, 0, 1
What is g in -4*g**3 - 4*g**2 + 224*g - 576 = 0?
-9, 4
Factor 2*c**5/7 + 4*c**4/7 - 6*c**3/7 - 8*c**2/7 + 8*c/7.
2*c*(c - 1)**2*(c + 2)**2/7
Let 3*z**5/11 + 14*z**4/11 + 17*z**3/11 + 6*z**2/11 = 0. What is z?
-3, -1, -2/3, 0
Factor -5*f**3 + 70*f**2 - 175*f + 110.
-5*(f - 11)*(f - 2)*(f - 1)
Solve -v**4/3 - 11*v**3/3 + v**2/3 + 11*v/3 = 0.
-11, -1, 0, 1
Find s such that -140*s**5 - 228*s**4 + 180*s**3 + 164*s**2 + 24*s = 0.
-2, -3/7, -1/5, 0, 1
Factor -2*n**3/9 - 26*n**2/9 - 44*n/9.
-2*n*(n + 2)*(n + 11)/9
Suppose 2*b**5/5 + 12*b**4/5 + 18*b**3/5 + 8*b**2/5 = 0. Calculate b.
-4, -1, 0
Factor 5*o**3 + 345*o**2 + 7935*o + 60835.
5*(o + 23)**3
Find a such that a**2 - 24*a + 140 = 0.
10, 14
Solve 5*o**2 + 95*o + 170 = 0.
-17, -2
Let 8*h**5 + 12*h**4 - 40*h**3 + 32*h - 12 = 0. Calculate h.
-3, -1, 1/2, 1
Find n such that -3*n**5 + 3*n**4 + 12*n**3 - 12*n**2 = 0.
-2, 0, 1, 2
Find k such that -5*k**3/4 - 727*k**2/4 + 865*k + 375 = 0.
-150, -2/5, 5
Suppose w**3/4 + 25*w**2/4 + 87*w/4 + 63/4 = 0. What is w?
-21, -3, -1
Factor 2*z**4/3 - 8*z**3 + 46*z**2/3 + 24*z.
2*z*(z - 9)*(z - 4)*(z + 1)/3
Determine i so that -i**2 + 296*i + 596 = 0.
-2, 298
Determine w so that -2*w**2/11 - 34*w/11 + 36/11 = 0.
-18, 1
Find b such that 2*b**4 - 38*b**3 - 82*b**2 - 42*b = 0.
-1, 0, 21
Determine f so that -4*f**5 + 380*f**4 - 8832*f**3 - 9216*f**2 = 0.
-1, 0, 48
Determine q so that 4*q**3 - 72*q**2 - 156*q - 80 = 0.
-1, 20
Factor 4*b**3/9 + 20*b**2/3 + 12*b + 52/9.
4*(b + 1)**2*(b + 13)/9
Let -4*c**5 + 32*c**4 - 85*c**3 + 59*c**2 + 80*c - 100 = 0. What is c?
-1, 2, 5/2
Let d**5/4 - 85*d**4/4 - 67*d**3 + 88*d**2 = 0. Calculate d.
-4, 0, 1, 88
Solve -a**3 - 30*a**2 - 192*a + 512 = 0.
-16, 2
Determine v, given that -v**3/10 + 3*v**2/2 + 37*v/10 - 51/10 = 0.
-3, 1, 17
Determine w, given that 2*w**5/7 - 22*w**4/7 + 36*w**3/7 + 4*w**2/7 - 38*w/7 + 18/7 = 0.
-1, 1, 9
Solve f**5 + 8*f**4 - 11*f**3 - 18*f**2 = 0.
-9, -1, 0, 2
Factor 5*a**4 - 270*a**3 + 5400*a**2 - 47250*a + 151875.
5*(a - 15)**3*(a - 9)
Factor 3*j**3 - 6405*j**2 + 3415464*j + 3421872.
3*(j - 1068)**2*(j + 1)
Find s, given that -s**4/6 + 115*s**3/6 - 3361*s**2/6 + 1007*s/2 + 1083 = 0.
-1, 2, 57
Factor -69*l**5/4 + 159*l**4/2 - 291*l**3/2 + 132*l**2 - 237*l/4 + 21/2.
-3*(l - 1)**4*(23*l - 14)/4
Factor m**3/3 + 91*m**2/3 + 705*m + 675.
(m + 1)*(m + 45)**2/3
Factor -2*x**2 - 18*x - 16.
-2*(x + 1)*(x + 8)
Solve 2*l**2 + 5*l + 2 = 0.
-2, -1/2
Factor 2*t**5/7 - 16*t**4/7 + 48*t**3/7 - 64*t**2/7 + 32*t/7.
2*t*(t - 2)**4/7
Find p, given that 6*p**5 - 28*p**4 + 40*p**3 - 16*p**2 = 0.
0, 2/3, 2
Let f**3 - 9*f**2 - 81*f + 729 = 0. Calculate f.
-9, 9
Factor -5*y**5 + 290*y**4 - 1110*y**3 + 1640*y**2 - 1085*y + 270.
-5*(y - 54)*(y - 1)**4
Let 7*p**5/2 - 69*p**4 + 835*p**3/2 - 750*p**2 + 254*p + 144 = 0. Calculate p.
-2/7, 1, 2, 8, 9
Factor 2*w**5/3 + 10*w**4 + 148*w**3/3 + 328*w**2/3 + 112*w + 128/3.
2*(w + 1)*(w + 2)**3*(w + 8)/3
Find o such that o**4/7 - 18*o**3/7 + 96*o**2/7 - 128*o/7 = 0.
0, 2, 8
Factor -2*x**3/3 + 118*x**2/3 + 2*x/3 - 118/3.
-2*(x - 59)*(x - 1)*(x + 1)/3
Find j such that 718*j**2 + 722*j + 4 = 0.
-1, -2/359
Solve -62*a**2 + 113*a - 51 = 0 for a.
51/62, 1
Suppose 2*b**2/7 + 4*b/7 - 30/7 = 0. Calculate b.
-5, 3
Determine b so that -b**3/4 + 69*b**2/2 + 279*b/4 + 35 = 0.
-1, 140
Determine t, given that t**2/8 + 117*t/8 - 59/4 = 0.
-118, 1
Suppose 4*b**4 - 43*b**3/5 + 16*b**2/5 + 7*b/5 = 0. Calculate b.
-1/4, 0, 1, 7/5
Solve 2*z**4/15 - 62*z**3/5 - 154*z**2/3 - 194*z/5 = 0.
-3, -1, 0, 97
Factor -g**3/3 + 20*g**2/3 + 7*g.
-g*(g - 21)*(g + 1)/3
Suppose r**5 + 47*r**4 + 574*r**3 + 482*r**2 - 575*r - 529 = 0. Calculate r.
-23, -1, 1
Suppose -o**3/10 - 46*o**2/5 + 94*o/5 = 0. Calculate o.
-94, 0, 2
Factor -2*h**4/9 + 616*h**3/3 - 425036*h**2/9 - 285208*h/3 - 428738/9.
-2*(h - 463)**2*(h + 1)**2/9
Determine f so that 3*f**3/4 + 3*f**2/2 - 15*f/4 - 9/2 = 0.
-3, -1, 2
Factor 3*i**2 + 162*i + 2187.
3*(i + 27)**2
Solve 22*r**3/21 + 92*r**2/21 + 104*r/21 + 16/21 = 0 for r.
-2, -2/11
Factor -3*m**5/2 - 279*m**4/2 + 582*m**3.
-3*m**3*(m - 4)*(m + 97)/2
Factor 5*v**3 + 560*v**2 - 5*v - 560.
5*(v - 1)*(v + 1)*(v + 112)
Factor -4*t**4 - 36*t**3 - 108*t**2 - 124*t - 48.
-4*(t + 1)**2*(t + 3)*(t + 4)
Determine d so that d**3 + 10*d**2 + 13*d - 24 = 0.
-8, -3, 1
Suppose 3*l**5 - 37*l**4 + 12*l**3 = 0. What is l?
0, 1/3, 12
Determine k so that -3*k**2/2 + 81*k - 2187/2 = 0.
27
Suppose 10*h**3 - 224*h**2 + 1208*h - 448 = 0. Calculate h.
2/5, 8, 14
Determine h, given that -2*h**4 - 6*h**3 - 2*h**2 + 6*h + 4 = 0.
-2, -1, 1
Suppose -z**5/5 - 3*z**4/5 + z**3 + 3*z**2/5 - 4*z/5 = 0. What is z?
-4, -1, 0, 1
Factor -2*g**3/3 - 1250*g**2/3 - 193424*g/3 + 197192.
-2*(g - 3)*(g + 314)**2/3
Factor 5*r**2/6 + 97*r/6 + 19/3.
(r + 19)*(5*r + 2)/6
Solve -k**5/3 + 2*k**4/3 - 2*k**2/3 + k/3 = 0 for k.
-1, 0, 1
Suppose 7*p**4/4 - 4*p**3 + 11*p**2/4 - p/2 = 0. What is p?
0, 2/7, 1
Factor -18*g**3 + 42*g**2 - 32*g + 8.
-2*(g - 1)*(3*g - 2)**2
Solve 2*o**4/13 - 56*o**3/13 - 180*o**2/13 - 184*o/13 - 62/13 = 0 for o.
-1, 31
Factor 2*k**4/19 - 22*k**3/19 + 48*k**2/19 + 72*k/19.
2*k*(k - 6)**2*(k + 1)/19
Factor v**5 - 2*v**4 - v**3 + 2*v**2.
v**2*(v - 2)*(v - 1)*(v + 1)
Solve 27*w**4/4 - 27*w**3/2 - 93*w**2/4 + 6*w + 9 = 0.
-1, -2/3, 2/3, 3
Suppose g**2/3 + 3886*g/3 + 3775249/3 = 0. What is g?
-1943
Let -63*r**