, 2
Factor -2*t**5/7 + 286*t**4/7 - 846*t**3/7 + 842*t**2/7 - 40*t.
-2*t*(t - 140)*(t - 1)**3/7
Let -6*g**4 + 217*g**3 - 246*g**2 + 35*g = 0. Calculate g.
0, 1/6, 1, 35
Factor -4*w**3 + 604*w**2 + 1848*w.
-4*w*(w - 154)*(w + 3)
Solve -2*m**4 + 128*m**3 - 2964*m**2 + 28880*m - 96026 = 0.
7, 19
Suppose -42*z**5 - 586*z**4 - 1816*z**3 - 1536*z**2 + 256*z + 160 = 0. What is z?
-10, -2, -2/7, 1/3
Factor -4*u**2 + 64*u - 220.
-4*(u - 11)*(u - 5)
Let -3*r**2 - 366*r - 11163 = 0. Calculate r.
-61
Find n, given that -8*n**5/11 + 10*n**4/11 + 118*n**3/11 + 14*n**2 + 34*n/11 - 20/11 = 0.
-2, -1, 1/4, 5
Factor -f**4/2 + 37*f**3 - 1441*f**2/2 + 1332*f - 648.
-(f - 36)**2*(f - 1)**2/2
Suppose s**2/5 - 23*s/5 + 22/5 = 0. Calculate s.
1, 22
Factor 2*v**2/21 + 4*v/3 + 30/7.
2*(v + 5)*(v + 9)/21
Find f such that -14*f**5/3 + 50*f**4 - 460*f**3/3 + 80*f**2/3 + 320*f + 256/3 = 0.
-1, -2/7, 4
Factor 2*y**4/5 + 196*y**3/5 + 6528*y**2/5 + 77824*y/5 + 131072/5.
2*(y + 2)*(y + 32)**3/5
Find d such that -12*d**4/17 + 754*d**3/17 - 12154*d**2/17 + 9734*d/17 - 1922/17 = 0.
1/3, 1/2, 31
Solve f**3 - 80*f**2 - f + 80 = 0.
-1, 1, 80
Factor -2*t**2/9 - 392*t/3 + 394.
-2*(t - 3)*(t + 591)/9
Solve 676*h**4/7 - 2808*h**3/7 + 60*h**2 - 16*h/7 = 0.
0, 1/13, 4
Find h such that -10*h**2 + 6*h + 4 = 0.
-2/5, 1
Factor -18*s**3 + 418*s**2 - 2468*s + 528.
-2*(s - 12)*(s - 11)*(9*s - 2)
Solve 5*i**2 + 290*i - 295 = 0.
-59, 1
Factor 99*g**2/5 + 493*g/5 - 2.
(g + 5)*(99*g - 2)/5
Solve -14*j**2/17 - 76*j/17 + 208/17 = 0.
-52/7, 2
Find z such that 3*z**3 + 3*z**2 - 18*z = 0.
-3, 0, 2
Factor -3*q**3 - 2847*q**2 - 676872*q - 674028.
-3*(q + 1)*(q + 474)**2
Find r, given that 2*r**4 - 2*r**3 - 30*r**2 - 46*r - 20 = 0.
-2, -1, 5
Factor 2*h**5 - 24*h**4 + 70*h**3 + 24*h**2 - 72*h.
2*h*(h - 6)**2*(h - 1)*(h + 1)
Factor -2*t**5 + 16*t**4 - 48*t**3 + 68*t**2 - 46*t + 12.
-2*(t - 3)*(t - 2)*(t - 1)**3
Factor -2*n**3/5 - 138*n**2/5 + 28*n.
-2*n*(n - 1)*(n + 70)/5
Factor 4*y**4 - 132*y**3 + 128*y**2.
4*y**2*(y - 32)*(y - 1)
Factor 2*j**4/7 + 16*j**3/7 - 38*j**2/7 + 20*j/7.
2*j*(j - 1)**2*(j + 10)/7
Factor -15*u**2 + 189*u + 540.
-3*(u - 15)*(5*u + 12)
Factor k**2/2 + 96*k + 4608.
(k + 96)**2/2
Factor 5*o**4 - 130*o**3 - 420*o**2 - 430*o - 145.
5*(o - 29)*(o + 1)**3
What is p in 2*p**4 + 30*p**3 + 136*p**2 + 168*p = 0?
-7, -6, -2, 0
Factor 12*t**3/7 - 4*t**2/7 - 152*t/7 - 96/7.
4*(t - 4)*(t + 3)*(3*t + 2)/7
Factor 4*d**3/5 - 172*d**2/5 + 924*d/5 - 1332/5.
4*(d - 37)*(d - 3)**2/5
Factor 4*l**3/9 - 316*l**2 + 168032*l/3 + 506944/9.
4*(l - 356)**2*(l + 1)/9
Factor 5*j**3 + 15*j**2 + 15*j + 5.
5*(j + 1)**3
Find u, given that u**2/3 - 10*u/3 + 7 = 0.
3, 7
Factor 3*t**2 + 18*t - 81.
3*(t - 3)*(t + 9)
Find d, given that -d**2/2 - 15*d/2 - 13 = 0.
-13, -2
Factor 7*y**3/4 + 9*y**2/2 + 5*y/4 - 3/2.
(y + 1)*(y + 2)*(7*y - 3)/4
Let c**2 - 532*c + 1060 = 0. What is c?
2, 530
Find d such that -3*d**3 - 96*d**2 - 663*d + 1734 = 0.
-17, 2
Factor -5*u**4 + 35*u**3 + 5*u**2 - 35*u.
-5*u*(u - 7)*(u - 1)*(u + 1)
What is x in -3*x**3/2 - 69*x**2/2 + 1455*x/2 - 3663/2 = 0?
-37, 3, 11
Find w such that 5*w**5 - 55*w**4 + 165*w**3 - 45*w**2 - 270*w = 0.
-1, 0, 3, 6
Suppose u**4/2 - 25*u**3/2 + 91*u**2 - 256*u + 240 = 0. What is u?
2, 4, 15
Factor a**3/2 + a**2 - 80*a - 448.
(a - 14)*(a + 8)**2/2
Factor -d**3/2 + 21*d**2/2 + 1053*d/2 - 24057/2.
-(d - 27)**2*(d + 33)/2
Factor q**4 - q**3.
q**3*(q - 1)
Suppose 3*k**3 - 4626*k**2 + 2377764*k - 407390232 = 0. What is k?
514
Let -g**4 + 7*g**3 + 17*g**2 + 9*g = 0. What is g?
-1, 0, 9
Factor -5*b**4 + 80*b**3 + 175*b**2 + 90*b.
-5*b*(b - 18)*(b + 1)**2
Determine m, given that -4*m**3 - 328*m**2 + 1020*m = 0.
-85, 0, 3
Factor 3*q**3/5 + 33*q**2/5 - 243*q/5 - 2673/5.
3*(q - 9)*(q + 9)*(q + 11)/5
Let -x**3 - 6*x**2 + 15*x - 8 = 0. What is x?
-8, 1
Find j, given that -8*j**2 - 22*j/3 + 2/3 = 0.
-1, 1/12
Factor 2*y**3 - 12*y**2 + 10*y.
2*y*(y - 5)*(y - 1)
Let o**4/2 - 159*o**3/2 + 8967*o**2/2 - 204085*o/2 + 705894 = 0. Calculate o.
12, 49
Factor 4*k**2 + 240*k - 1584.
4*(k - 6)*(k + 66)
Factor 4*y**2/3 - 14*y - 196/3.
2*(y - 14)*(2*y + 7)/3
Determine y, given that -2*y**2/9 + 34*y/9 + 152 = 0.
-19, 36
Suppose -g**3 - 42*g**2 - 588*g - 2744 = 0. Calculate g.
-14
Solve y**5/8 - 4*y**3 - 15*y**2/4 + 31*y/8 + 15/4 = 0 for y.
-5, -1, 1, 6
Let -3*v**2 + 270*v - 6075 = 0. What is v?
45
Factor 2*h**4 - 6*h**3 + 6*h**2 - 2*h.
2*h*(h - 1)**3
Factor -2*g**3/7 - 192*g**2/7 - 4608*g/7.
-2*g*(g + 48)**2/7
Find l such that -3*l**2 + 390*l - 12675 = 0.
65
Factor -465*r**2 - 3249*r/7 + 6/7.
-3*(r + 1)*(1085*r - 2)/7
Let 70*m**4 - 1465*m**3 + 6825*m**2 + 8965*m + 605 = 0. Calculate m.
-1, -1/14, 11
Determine h, given that -h**2/3 + h + 6 = 0.
-3, 6
Factor -4*t**2/5 + 512*t/5 + 208.
-4*(t - 130)*(t + 2)/5
Find o such that 3*o**4 - 6*o**3 - 9*o**2 + 12*o + 12 = 0.
-1, 2
Factor -3*k**3/4 + 207*k**2/2 + 417*k/4.
-3*k*(k - 139)*(k + 1)/4
Solve -q**2/5 + 12*q/5 - 27/5 = 0 for q.
3, 9
Solve 4*u**3 - 1212*u**2 + 4800*u - 4784 = 0.
2, 299
Determine s so that 3*s**5 - 99*s**4 + 1032*s**3 - 3624*s**2 + 5040*s - 2352 = 0.
1, 2, 14
Determine u so that -u**4 + 4*u**3 + 14*u**2 - 36*u - 45 = 0.
-3, -1, 3, 5
Factor -5*z**4 + 45*z**3.
-5*z**3*(z - 9)
Factor -98*w**4/5 - 33264*w**3/5 - 2813168*w**2/5 + 323136*w - 46240.
-2*(w + 170)**2*(7*w - 2)**2/5
Factor -5*u**4 + 105*u**3 - 390*u**2 - 3700*u + 21000.
-5*(u - 10)**2*(u - 7)*(u + 6)
Suppose -8*o**4 + 188*o**3 + 1888*o**2 + 4032*o = 0. Calculate o.
-4, 0, 63/2
Factor 3*p**5 + 6*p**4 - 21*p**3 + 12*p**2.
3*p**2*(p - 1)**2*(p + 4)
Suppose 110*i**5/13 + 388*i**4/13 + 480*i**3/13 + 212*i**2/13 - 14*i/13 - 24/13 = 0. Calculate i.
-1, -4/5, 3/11
Suppose 3*w**2/4 - 393*w/2 + 51483/4 = 0. What is w?
131
Factor 2*g**3/5 - 10*g**2 + 286*g/5 + 338/5.
2*(g - 13)**2*(g + 1)/5
Suppose -2*n**2 - 98*n + 100 = 0. What is n?
-50, 1
Factor -d**4/4 + 4*d**3 + 45*d**2 + 72*d.
-d*(d - 24)*(d + 2)*(d + 6)/4
Suppose -2*p**3/3 + 662*p**2/3 - 53774*p/3 - 55778 = 0. Calculate p.
-3, 167
What is n in -5*n**2/2 + 26375*n/4 - 13185/4 = 0?
1/2, 2637
Suppose -j**5/2 + 39*j**4/2 - 397*j**3/2 + 285*j**2/2 + 361*j = 0. Calculate j.
-1, 0, 2, 19
Let -18*c**4/19 - 58*c**3/19 - 48*c**2/19 - 8*c/19 = 0. Calculate c.
-2, -1, -2/9, 0
Let 3*h**2 + 3012*h - 6036 = 0. What is h?
-1006, 2
Factor -8*n**2/5 + 238*n/15 + 4/3.
-2*(n - 10)*(12*n + 1)/15
Solve -270*b**5 + 645*b**4 + 50*b**3 - 625*b**2 + 220*b - 20 = 0 for b.
-1, 1/6, 2/9, 1, 2
Determine r, given that -3*r**4/7 + 1896*r**3/7 + 5706*r**2/7 + 816*r + 1905/7 = 0.
-1, 635
Factor 2*j**4/11 + 10*j**3/11 - 42*j**2/11 + 46*j/11 - 16/11.
2*(j - 1)**3*(j + 8)/11
Suppose -5*a**4 + 25*a**3 + 35*a**2 - 145*a - 150 = 0. Calculate a.
-2, -1, 3, 5
Factor l**2/4 + 1587*l/2 + 2518569/4.
(l + 1587)**2/4
Determine c so that 2*c**4 - 12*c**3 - 32*c**2 = 0.
-2, 0, 8
Factor 2*m**2 + 4*m + 2.
2*(m + 1)**2
Let -4*q**4/3 + 8*q**3 + 4*q**2/3 - 8*q = 0. What is q?
-1, 0, 1, 6
Factor 3*r**4/7 + 267*r**3/7 - 117*r**2 + 825*r/7 - 276/7.
3*(r - 1)**3*(r + 92)/7
What is w in -5*w**3 - 70*w**2 + 845*w - 770 = 0?
-22, 1, 7
Factor -o**5 + 18*o**4 - 105*o**3 + 200*o**2.
-o**2*(o - 8)*(o - 5)**2
Factor -2*f**3/13 + 20*f**2/13 + 134*f/13 - 1232/13.
-2*(f - 11)*(f - 7)*(f + 8)/13
Factor c**4/3 - 1373*c**3/3 + 470593*c**2/3 + 158239*c - 314646.
(c - 687)**2*(c - 1)*(c + 2)/3
Factor 5*t**2 - 150*t - 495.
5*(t - 33)*(t + 3)
Factor 3*n**3 - 6*n**2.
3*n**2*(n - 2)
Let 7*w**3 + 37*w**2 - 32*w - 12 = 0. What is w?
-6, -2/7, 1
What is b in -4*b**5/7 + 20*b**4/7 - 36*b**3/7 + 4*b**2 - 8*b/7 = 0?
0, 1, 2
Factor -5*g**3 + 1435*g**2.
-5*g**2*(g - 287)
Factor -v**2/2 + 25*v + 51/2.
-(v - 51)*(v + 1)/2
Suppose -2*u**5/11 - 8*u**4/11 - 6*u**3/11 + 8*u**2/11 + 8*u/11 = 0. What is u?
-2, -1, 0, 1
Solve 3*u**5/8 - 15*u**4/2 + 189*u**3/4 - 147*u**2/2 - 1029*u/8 = 0.
-1, 0, 7
Suppose 2*r**4 + 24*r**3 - 42*r**2 - 184*r + 312 = 0. What is r?
-13, -3, 2
Solve 20*v**2 - 22215*v - 5555 = 0 for v.
-1/4, 1111
Determine l, given that -2*l**3/13 + 18*l**2/13 - 28*l/13 = 0.
0, 2, 7
Factor -44*m**3 + 304*m**2 - 460*m + 200.
-4*(m - 5)*(m - 1)*(11*m - 10)
Factor -a**3 + 11*a**2 - 31*a + 21.
-(a - 7)*(a - 3)*(a - 1)
Factor f**2 - 64*f + 124.
(f - 62)*(f - 2)
Solve 2*i**3/9 - 8*i**2/3 - 98*i/9 + 40/3 = 0 for i.
-4, 1, 15
Det