*(p + 3)*(p + 154)
Find t, given that -t**3 + 142*t**2 + 287*t + 144 = 0.
-1, 144
Suppose -2*p**5/9 - 4*p**4 - 26*p**3 - 712*p**2/9 - 344*p/3 - 64 = 0. What is p?
-8, -3, -2
Let -5*l**2 - 705*l + 3650 = 0. Calculate l.
-146, 5
Factor 28*a**3 - 3660*a**2 + 2592*a + 1040.
4*(a - 130)*(a - 1)*(7*a + 2)
What is b in -1587*b**4 - 6072*b**3 - 5256*b**2 + 1056*b - 48 = 0?
-2, 2/23
Solve 2*r**4/3 + 124*r**3/9 + 154*r**2/3 + 24*r - 128/9 = 0 for r.
-16, -4, -1, 1/3
Factor 2*w**5 + 10*w**4 - 6*w**3 - 26*w**2 + 20*w.
2*w*(w - 1)**2*(w + 2)*(w + 5)
Let 2*d**3 - 50*d**2 + 336*d - 288 = 0. Calculate d.
1, 12
Find o such that -2*o**2/19 - 2914*o/19 = 0.
-1457, 0
Factor 10*g**2 - 52*g - 144.
2*(g + 2)*(5*g - 36)
Let z**2/4 + 113*z/2 = 0. Calculate z.
-226, 0
Let -r**4/10 - r**3/2 + 3*r**2/5 + 16*r/5 - 16/5 = 0. Calculate r.
-4, 1, 2
Suppose 5*q**4 + 90*q**3 + 345*q**2 + 260*q = 0. What is q?
-13, -4, -1, 0
Let -5*g**5 - 915*g**4 - 59175*g**3 - 1541565*g**2 - 12866040*g - 33334740 = 0. Calculate g.
-57, -6
Factor -c**2 - 6*c + 55.
-(c - 5)*(c + 11)
Solve -5*n**5/7 + 3*n**4/7 + 12*n**3/7 + 4*n**2/7 = 0 for n.
-1, -2/5, 0, 2
Suppose -5*y**5 - 32*y**4 - 4*y**3 + 50*y**2 + 9*y - 18 = 0. Calculate y.
-6, -1, 3/5, 1
Factor -3*r**2 - 75*r + 78.
-3*(r - 1)*(r + 26)
Factor -2*a**5/5 - 38*a**4/5 + 126*a**3/5 - 26*a**2 + 44*a/5.
-2*a*(a - 1)**3*(a + 22)/5
Let -2*x**4/5 - 2*x**3/5 + 6*x**2/5 + 2*x/5 - 4/5 = 0. Calculate x.
-2, -1, 1
Determine d, given that -5*d**5 - 180*d**4 + 190*d**3 + 180*d**2 - 185*d = 0.
-37, -1, 0, 1
Factor -5*y**4 - 155*y**3 + 675*y**2 - 865*y + 350.
-5*(y - 2)*(y - 1)**2*(y + 35)
Factor c**4/6 - c**2/3 + 1/6.
(c - 1)**2*(c + 1)**2/6
Determine o, given that 2*o**5/3 + 70*o**4/3 + 646*o**3/3 + 578*o**2/3 = 0.
-17, -1, 0
Find q such that -q**5/7 - 2*q**4 + 36*q**3/7 + 62*q**2/7 - 5*q - 48/7 = 0.
-16, -1, 1, 3
Factor -n**3/2 + 5*n**2 + 351*n/2 - 180.
-(n - 24)*(n - 1)*(n + 15)/2
Determine f so that -f**3/2 + 46*f**2 - 2205*f/2 + 2025 = 0.
2, 45
Factor -2*w**4 + 200*w**3 - 4796*w**2 - 10200*w - 5202.
-2*(w - 51)**2*(w + 1)**2
Determine a so that a**2 + 22*a + 40 = 0.
-20, -2
What is j in -10*j**3 - 254*j**2 + 716*j - 336 = 0?
-28, 3/5, 2
Determine f so that -4*f**2 + 4*f + 8 = 0.
-1, 2
Solve 4*j**5 + 84*j**4 + 536*j**3 + 888*j**2 - 540*j - 972 = 0 for j.
-9, -3, -1, 1
Find v such that -v**5/4 + 7*v**3/4 + v**2/2 - 3*v - 2 = 0.
-2, -1, 2
Determine x, given that -4*x**2 - 11*x + 3 = 0.
-3, 1/4
Factor 4*z**2 + 44*z - 840.
4*(z - 10)*(z + 21)
Let -2*w**2/15 - 928*w/5 - 322944/5 = 0. What is w?
-696
Let y**3/3 + 23*y**2/6 - 13*y/6 - 2 = 0. What is y?
-12, -1/2, 1
Factor 2*g**3 - 34*g**2 + 84*g.
2*g*(g - 14)*(g - 3)
Factor -3*a**2 + 108*a - 465.
-3*(a - 31)*(a - 5)
Determine z, given that -2*z**5 - 42*z**4 - 180*z**3 + 224*z**2 = 0.
-14, -8, 0, 1
Factor 4*w**4 + 168*w**3 + 1332*w**2 - 10672*w - 25392.
4*(w - 6)*(w + 2)*(w + 23)**2
Find g, given that -g**3 - 9*g**2 - 14*g = 0.
-7, -2, 0
Factor 4*s**3 + 24*s**2 + 44*s + 24.
4*(s + 1)*(s + 2)*(s + 3)
Factor 5*d**4 - 615*d**3 - 625*d**2 + 615*d + 620.
5*(d - 124)*(d - 1)*(d + 1)**2
Suppose -5*u**4 + 2010*u**3 + 30900*u**2 + 155750*u + 260625 = 0. Calculate u.
-5, 417
Factor -5*k**2 + 105*k + 110.
-5*(k - 22)*(k + 1)
Factor -2*g**2 - 908*g - 103058.
-2*(g + 227)**2
Factor 8*z**4 - 124*z**3 + 260*z**2 + 2124*z - 2268.
4*(z - 9)**2*(z - 1)*(2*z + 7)
Factor -v**3/5 - 29*v**2 + 897*v/5 - 1359/5.
-(v - 3)**2*(v + 151)/5
Suppose 4*y**4/3 - 136*y**3 + 11152*y**2/3 - 12152*y - 48020/3 = 0. What is y?
-1, 5, 49
What is i in 2*i**2/3 - 44*i/3 + 80/3 = 0?
2, 20
Suppose u**2 - 42*u + 41 = 0. Calculate u.
1, 41
Find o, given that 4*o**5/7 + 38*o**4/7 - 288*o**3/7 - 506*o**2/7 - 16*o/7 + 24 = 0.
-14, -1, 1/2, 6
Solve -c**2/2 - 50*c - 1250 = 0 for c.
-50
Factor -5*o**2 - 320*o + 325.
-5*(o - 1)*(o + 65)
What is k in 4*k**2/9 + 80*k/9 - 28/3 = 0?
-21, 1
Suppose -4*y**4 - 8*y**3 + 36*y**2 + 8*y - 32 = 0. What is y?
-4, -1, 1, 2
Factor 5*v**4 + 5*v**3 - 65*v**2 - 125*v - 60.
5*(v - 4)*(v + 1)**2*(v + 3)
Factor 2*f**3/15 - 8*f**2/15 + 2*f/3 - 4/15.
2*(f - 2)*(f - 1)**2/15
Determine d so that -15*d**5 + 55*d**4 + 135*d**3 - 155*d**2 - 120*d + 100 = 0.
-2, -1, 2/3, 1, 5
Factor -4*n**2 + 152*n - 960.
-4*(n - 30)*(n - 8)
Factor 10*m**3 - 996*m**2 - 406*m + 600.
2*(m - 100)*(m + 1)*(5*m - 3)
Factor -u**4/4 - 125*u**3/4 - 3843*u**2/4 + 3969*u/4.
-u*(u - 1)*(u + 63)**2/4
Factor 5*h**4 + 25*h**3 + 40*h**2 + 20*h.
5*h*(h + 1)*(h + 2)**2
Determine i, given that i**3 - 105*i**2 - 433*i - 327 = 0.
-3, -1, 109
Find f such that -5*f**4 + 55*f**2 + 90*f + 40 = 0.
-2, -1, 4
Let 2*p**4 + 8*p**3 + 10*p**2 + 4*p = 0. What is p?
-2, -1, 0
Solve -2*q**5 - 18*q**4 - 14*q**3 + 18*q**2 + 16*q = 0 for q.
-8, -1, 0, 1
Suppose -t**2/2 + 671*t - 450241/2 = 0. Calculate t.
671
Let 2*g**3/11 + 1878*g**2/11 + 587814*g/11 + 61328594/11 = 0. What is g?
-313
Factor -125*a**3 - 422525*a**2 + 338080*a - 67620.
-5*(a + 3381)*(5*a - 2)**2
Factor 2*n**3/3 + 8*n**2 + 58*n/3 + 12.
2*(n + 1)*(n + 2)*(n + 9)/3
Determine t, given that -2*t**2/7 - 12*t/7 - 16/7 = 0.
-4, -2
Find o such that -4*o**3/7 + 48*o**2/7 - 116*o/7 + 72/7 = 0.
1, 2, 9
Factor -3*v**5 + 6*v**4 + 45*v**3.
-3*v**3*(v - 5)*(v + 3)
Factor -2*n**4/9 - 4*n**3/9.
-2*n**3*(n + 2)/9
Determine w, given that -3*w**5 - 568*w**4 - 27255*w**3 - 34402*w**2 + 44556*w + 17672 = 0.
-94, -2, -1/3, 1
Factor 4*a**2 - 7184*a.
4*a*(a - 1796)
Factor q**2 + 249*q + 248.
(q + 1)*(q + 248)
Find u such that 3*u**2 - 27 = 0.
-3, 3
Determine b, given that b**5/2 - 2*b**4 + b**3 + 2*b**2 - 3*b/2 = 0.
-1, 0, 1, 3
Let -169*o**5 - 9711*o**4 - 134182*o**3 + 164160*o**2 + 288800*o = 0. What is o?
-380/13, -1, 0, 2
Factor 8*x**3/7 - 24*x**2/7 + 18*x/7 - 4/7.
2*(x - 2)*(2*x - 1)**2/7
Factor -4*d**3/7 + 132*d**2/7 - 684*d/7 + 972/7.
-4*(d - 27)*(d - 3)**2/7
Determine y so that -20*y**5 - 492*y**4 - 740*y**3 - 84*y**2 + 184*y = 0.
-23, -1, 0, 2/5
What is i in 4*i**5 - 140*i**4 - 168*i**3 + 864*i**2 = 0?
-3, 0, 2, 36
Let 4*d**4/5 - 48*d**2/5 - 64*d/5 = 0. What is d?
-2, 0, 4
Determine g so that -3*g**4/8 + 681*g**3/8 - 12825*g**2/2 + 158118*g + 164616 = 0.
-1, 76
Determine n, given that n**2/5 - 255*n + 1274/5 = 0.
1, 1274
Solve -y**4 - 5*y**3 - 5*y**2 + 5*y + 6 = 0 for y.
-3, -2, -1, 1
Factor -4*m**2 - 156*m + 328.
-4*(m - 2)*(m + 41)
Let 3*j**3 - 222*j**2 - 465*j + 684 = 0. Calculate j.
-3, 1, 76
Suppose n**3/5 - n**2/5 - 136*n/5 - 52 = 0. What is n?
-10, -2, 13
Find x, given that 3*x**4/7 + 39*x**3/7 + 96*x**2/7 + 60*x/7 = 0.
-10, -2, -1, 0
Find c such that 20*c**4 - 1418*c**3 - 6078*c**2 - 5382*c - 1350 = 0.
-3, -3/5, -1/2, 75
Factor -4*d**3 - 80*d**2 - 148*d - 72.
-4*(d + 1)**2*(d + 18)
Factor -b**2 + 296*b - 21904.
-(b - 148)**2
Suppose -2*x**5/11 + 30*x**4/11 - 100*x**3/11 + 140*x**2/11 - 90*x/11 + 2 = 0. Calculate x.
1, 11
Factor -8*a**2 - 42*a + 50.
-2*(a - 1)*(4*a + 25)
Determine p so that -35*p**5 - 4420*p**4 - 18515*p**3 - 26350*p**2 - 14660*p - 2440 = 0.
-122, -2, -1, -2/7
Factor 4*t**3/3 - 332*t**2 + 21780*t - 409948/3.
4*(t - 121)**2*(t - 7)/3
Factor -3*t**2/2 + 2889*t - 2782107/2.
-3*(t - 963)**2/2
Suppose 98*y**4/9 + 1624*y**3/9 + 2374*y**2/9 + 968*y/9 + 40/3 = 0. Calculate y.
-15, -1, -2/7
Factor 9*q**2 - 228*q - 156.
3*(q - 26)*(3*q + 2)
What is y in -y**2/3 - 238*y/3 - 14161/3 = 0?
-119
Factor i**5/3 - 89*i**4/3 + 324*i**3 - 3760*i**2/3 + 4928*i/3.
i*(i - 77)*(i - 4)**3/3
Solve 6*x**5/11 + 4*x**4/11 - 78*x**3/11 - 52*x**2/11 + 216*x/11 + 144/11 = 0 for x.
-3, -2, -2/3, 2, 3
Suppose -2*d**3 + 16*d**2 - 40*d + 32 = 0. Calculate d.
2, 4
Factor -3*r**5 - 24*r**4 - 18*r**3 + 120*r**2 - 75*r.
-3*r*(r - 1)**2*(r + 5)**2
Find t such that -28*t**2 - 19704*t + 5632 = 0.
-704, 2/7
Factor b**2 - 12*b - 85.
(b - 17)*(b + 5)
Factor -2*w**3/3 + 4*w**2 + 50*w/3 + 12.
-2*(w - 9)*(w + 1)*(w + 2)/3
Factor -a**3/2 - 171*a**2/2 - 1635*a/2 - 4025/2.
-(a + 5)**2*(a + 161)/2
Solve -2*z**4 + 40*z**3 - 198*z**2 - 40*z + 200 = 0 for z.
-1, 1, 10
Factor -3*w**4 - 228*w**3 - 423*w**2 + 1542*w - 888.
-3*(w - 1)**2*(w + 4)*(w + 74)
Suppose r**5/2 + 9*r**4/4 - 73*r**3/4 - 39*r**2/2 + 110*r - 48 = 0. Calculate r.
-8, -3, 1/2, 2, 4
Determine a, given that -2*a**2 - 67*a + 69 = 0.
-69/2, 1
Determine k so that 2*k**4 - 4*k**3 - 2*k**2 + 4*k = 0.
-1, 0, 1, 