h - 2)*(h + 2)
Factor -256*h**5/7 + 2368*h**4/7 - 4528*h**3/7 - 4324*h**2/7 - 1160*h/7 - 100/7.
-4*(h - 5)**2*(4*h + 1)**3/7
Determine y so that 28*y**4/3 + 64*y**3/3 - 6256*y**2/3 - 1792*y/3 = 0.
-16, -2/7, 0, 14
Factor -2*x**2/9 + 2*x - 28/9.
-2*(x - 7)*(x - 2)/9
Factor 3*z**5/2 - 129*z**4 + 6411*z**3/2 - 6672*z**2 - 376320*z - 1228800.
3*(z - 32)**3*(z + 5)**2/2
Factor f**2 + 15*f + 14.
(f + 1)*(f + 14)
Let -2*h**4 + 88*h**3 - 82*h**2 - 172*h = 0. What is h?
-1, 0, 2, 43
Solve -5*d**5 + 100*d**4 - 270*d**3 + 260*d**2 - 85*d = 0.
0, 1, 17
Factor l**3/2 + 59*l**2/4 - 95*l/4 - 31/2.
(l - 2)*(l + 31)*(2*l + 1)/4
Factor g**5/4 + 19*g**4/4 + 115*g**3/4 + 241*g**2/4 + 52*g + 16.
(g + 1)**3*(g + 8)**2/4
Find q such that 5*q**2 - 195*q + 1450 = 0.
10, 29
Solve a**4/8 + 5*a**3/8 - a**2 - 6*a = 0 for a.
-4, 0, 3
Factor -b**4/11 + 45*b**3/11 + 196*b**2/11.
-b**2*(b - 49)*(b + 4)/11
Factor -5*c**4 + 7620*c**3 - 2887940*c**2 - 11643360*c - 11673920.
-5*(c - 764)**2*(c + 2)**2
Determine r so that -5*r**2 + 970*r - 47045 = 0.
97
Let 110*b**3 + 575*b**2 + 980*b + 540 = 0. What is b?
-2, -27/22
Solve -2*b**2/3 + 6 = 0 for b.
-3, 3
Find p, given that -3*p**5/4 - 93*p**4/4 - 969*p**3/4 - 3831*p**2/4 - 1278*p - 540 = 0.
-12, -5, -1
Factor 2*f**2 + 3410*f - 3412.
2*(f - 1)*(f + 1706)
Let 5*r**4 + 65*r**3 + 205*r**2 + 235*r + 90 = 0. What is r?
-9, -2, -1
Factor v**4/3 - 5*v**3 + 23*v**2/3 + 13*v.
v*(v - 13)*(v - 3)*(v + 1)/3
Solve m**3 + 26*m**2 = 0.
-26, 0
Factor 4*o**2 - 212*o.
4*o*(o - 53)
Factor -2*a**4/3 + 12*a**3 - 32*a**2 - 1280*a/3 + 2048.
-2*(a - 8)**3*(a + 6)/3
Suppose -2*r**2/3 - 104*r/3 + 106/3 = 0. What is r?
-53, 1
Factor 49*t**3/4 - 35*t**2 + 25*t.
t*(7*t - 10)**2/4
Factor -3*p**2 + 30*p - 48.
-3*(p - 8)*(p - 2)
Factor 3*q**3 - 132*q**2 + 1452*q.
3*q*(q - 22)**2
Factor i**2/3 + 37*i/3.
i*(i + 37)/3
Find o, given that -15*o**4 - 140*o**3 - 135*o**2 + 210*o + 80 = 0.
-8, -2, -1/3, 1
Factor 4*n**2/7 - 160*n/7 + 304/7.
4*(n - 38)*(n - 2)/7
Factor 2*h**2/9 - 16*h/9 - 40/9.
2*(h - 10)*(h + 2)/9
Suppose -2*u**4/19 - 70*u**3/19 - 704*u**2/19 - 1536*u/19 = 0. What is u?
-16, -3, 0
Suppose z**4/3 - 162*z**2 + 1944*z - 6561 = 0. Calculate z.
-27, 9
Factor 64*l**4 + 7136*l**3 + 197124*l**2 - 99904*l + 12544.
4*(l + 56)**2*(4*l - 1)**2
Determine u so that 20*u**4 - 125*u**3 + 90*u**2 + 185*u - 50 = 0.
-1, 1/4, 2, 5
What is i in -42*i**3/17 - 76*i**2/17 - 26*i/17 + 8/17 = 0?
-1, 4/21
Suppose 2*d**2/19 - 68*d/19 + 546/19 = 0. What is d?
13, 21
Factor 1922*o**2 + 248*o + 8.
2*(31*o + 2)**2
Let -4*x**3 + 44*x**2 - 160*x + 192 = 0. Calculate x.
3, 4
Solve -4*g**3 - 8*g**2 + 12*g = 0 for g.
-3, 0, 1
Determine z, given that 2*z**3/11 - 116*z**2/11 - 34*z + 488/11 = 0.
-4, 1, 61
Factor -5*y**3 - 1605*y**2 + 3225*y - 1615.
-5*(y - 1)**2*(y + 323)
Factor -3*m**3 + 13*m**2 - 16*m + 4.
-(m - 2)**2*(3*m - 1)
Find z such that 4*z**4/5 + 12*z**3 - 152*z**2/5 - 48*z + 544/5 = 0.
-17, -2, 2
Let 3*f**2 - 21*f - 90 = 0. Calculate f.
-3, 10
Factor 3*m**4 + 99*m**3 + 885*m**2 + 1953*m - 2940.
3*(m - 1)*(m + 7)**2*(m + 20)
Let 2*n**4 - 108*n**3 - 590*n**2 = 0. What is n?
-5, 0, 59
Suppose -2*r**3 + 3060*r**2 - 1170450*r = 0. Calculate r.
0, 765
Suppose 15*o**4/2 + 1284*o**3 + 108873*o**2/2 - 44634*o - 11094 = 0. What is o?
-86, -1/5, 1
Factor 2*l**5 - 12*l**4 + 16*l**3 + 32*l**2 - 96*l + 64.
2*(l - 2)**4*(l + 2)
Factor 2*y**3 - 12*y**2 + 18*y.
2*y*(y - 3)**2
Suppose u**2 - 158*u + 157 = 0. What is u?
1, 157
Solve -3*z**4/7 + 39*z**3/7 + 219*z**2/7 - 255*z/7 = 0.
-5, 0, 1, 17
What is j in -j**4 - 64*j**3 - 1024*j**2 = 0?
-32, 0
Let -121*j**5/4 - 473*j**4 - 2366*j**3 - 3448*j**2 + 1500*j - 144 = 0. Calculate j.
-6, -4, 2/11
Factor 5*u**4 - 30*u**3 + 55*u**2 - 30*u.
5*u*(u - 3)*(u - 2)*(u - 1)
What is a in -4*a**3 + 4*a**2 + 40*a + 32 = 0?
-2, -1, 4
Solve -2*b**4/9 - 10*b**3/3 - 52*b**2/9 = 0 for b.
-13, -2, 0
Factor -20*o**2/7 + 136*o/7 + 4.
-4*(o - 7)*(5*o + 1)/7
Solve r**4/3 + 14*r**3/3 + 53*r**2/3 + 76*r/3 + 12 = 0.
-9, -2, -1
Factor 2*a**2/3 + 2*a/3 - 28.
2*(a - 6)*(a + 7)/3
Determine m, given that 48*m**5 + 820*m**4 + 64*m**3 - 68*m**2 = 0.
-17, -1/3, 0, 1/4
Find u such that 3*u**5/2 + 6*u**4 - 3*u**3 - 12*u**2 + 3*u/2 + 6 = 0.
-4, -1, 1
Suppose -4*c**3/7 - 16*c**2/7 - 12*c/7 = 0. Calculate c.
-3, -1, 0
Determine d, given that d**3/2 - 41*d**2/2 + 90*d = 0.
0, 5, 36
Let o**4/6 - o**2/6 = 0. What is o?
-1, 0, 1
Let 4*w**4 - 3780*w**3 = 0. What is w?
0, 945
Find s such that 3*s**4/2 - 39*s**3/2 + 24*s**2 + 288*s = 0.
-3, 0, 8
Factor -3*r**5/4 - 3*r**4/4 + 15*r**3/4 + 3*r**2/4 - 6*r + 3.
-3*(r - 1)**3*(r + 2)**2/4
Let 2*x**2/9 - 22*x/3 = 0. Calculate x.
0, 33
Factor 4*y**2 - 72*y - 352.
4*(y - 22)*(y + 4)
What is b in -6*b**5/7 + 64*b**4/7 - 218*b**3/7 + 208*b**2/7 + 96*b/7 = 0?
-1/3, 0, 3, 4
Factor 4*h**2/5 - 2056*h/5 - 412.
4*(h - 515)*(h + 1)/5
Factor -3*r**4 + 9*r**3 + 54*r**2 - 120*r.
-3*r*(r - 5)*(r - 2)*(r + 4)
Determine j so that 5*j**2 + 3110*j + 483605 = 0.
-311
Solve -12*t**2 - 7016*t + 2340 = 0 for t.
-585, 1/3
Find o, given that o**3/4 - 41*o**2/2 + 561*o/4 + 13005 = 0.
-20, 51
Determine d, given that 4*d**2 + 46*d + 22 = 0.
-11, -1/2
Find x, given that 2*x**2/15 + 86*x/15 + 164/15 = 0.
-41, -2
Determine c so that 4*c**3/3 + 152*c**2/3 - 320*c/3 = 0.
-40, 0, 2
Factor t**3/2 + 12*t**2 + 22*t.
t*(t + 2)*(t + 22)/2
Factor x**4/5 + x**3 + 6*x**2/5 - 4*x/5 - 8/5.
(x - 1)*(x + 2)**3/5
What is b in 4*b**4 - 32*b**2 + 64 = 0?
-2, 2
Suppose 3*g**2 + 15312*g + 19538112 = 0. Calculate g.
-2552
Factor -27*d**2 + 13989*d - 1554.
-3*(d - 518)*(9*d - 1)
Factor -3*o**2 - 4*o + 20.
-(o - 2)*(3*o + 10)
Solve -b**2 + 3150*b - 2480625 = 0.
1575
Factor -3*z**2 - 9*z + 12.
-3*(z - 1)*(z + 4)
Suppose -9*g**5 + 3*g**4 + 195*g**3 + 117*g**2 - 186*g - 120 = 0. What is g?
-4, -1, -2/3, 1, 5
Suppose -4*j**2 - 192*j = 0. Calculate j.
-48, 0
Solve 3*n**3 + 576*n**2 - 3*n - 576 = 0 for n.
-192, -1, 1
Factor -x**3/4 + 87*x**2/4 - 462*x - 484.
-(x - 44)**2*(x + 1)/4
Factor y**2 - 87*y + 252.
(y - 84)*(y - 3)
Factor -3*x**3/4 + 21*x**2/4 + 6*x.
-3*x*(x - 8)*(x + 1)/4
Suppose -3*f**2 - 201*f/8 - 231/8 = 0. Calculate f.
-7, -11/8
Determine h so that -3*h**2/7 - 159*h/7 - 138 = 0.
-46, -7
Factor i**2 + 18*i + 72.
(i + 6)*(i + 12)
What is x in 5*x**3 - 15*x**2 - 5*x + 15 = 0?
-1, 1, 3
Factor 2*y**3/11 + 530*y**2/11 - 1066*y/11 + 534/11.
2*(y - 1)**2*(y + 267)/11
Suppose b**5 - 19*b**4 + 32*b**3 + 532*b**2 + 1056*b + 576 = 0. Calculate b.
-2, -1, 12
Factor x**4/2 + 3*x**3/2 - 9*x**2 - 16*x + 48.
(x - 3)*(x - 2)*(x + 4)**2/2
Let w**4/5 + 6*w**3/5 - w**2/5 - 6*w/5 = 0. What is w?
-6, -1, 0, 1
Solve 3*l**4 - 3*l**3 - 6*l**2 = 0.
-1, 0, 2
Let 14*c**2 + 12142*c + 3468 = 0. What is c?
-867, -2/7
Factor 3*f**4 + 33*f**3 + 57*f**2 + 27*f.
3*f*(f + 1)**2*(f + 9)
Find d, given that d**4 - 2*d**3 - 4*d**2 + 2*d + 3 = 0.
-1, 1, 3
Factor w**2 - 28*w + 160.
(w - 20)*(w - 8)
Suppose 3*j**5 - 63*j**4 + 162*j**3 = 0. Calculate j.
0, 3, 18
Let 5*w**2 + 15*w - 50 = 0. Calculate w.
-5, 2
Factor 2*h**2/9 - 4282*h/9 + 4280/9.
2*(h - 2140)*(h - 1)/9
Suppose 2*l**2/7 + 190*l/7 + 552/7 = 0. What is l?
-92, -3
Determine b so that -b**2/11 + 6*b/11 + 5 = 0.
-5, 11
Factor s**2/3 - 2830*s + 6006675.
(s - 4245)**2/3
Find q, given that q**2/7 + 746*q/7 - 3755/7 = 0.
-751, 5
Factor 676*k**3 + 127296*k**2 + 39120*k + 3008.
4*(k + 188)*(13*k + 2)**2
Find o, given that 5*o**2 + 135*o - 140 = 0.
-28, 1
Determine a, given that 10*a**3 + 34*a**2 + 32*a + 8 = 0.
-2, -1, -2/5
Find d such that -4*d**4 + 12*d**3 + 136*d**2 + 192*d = 0.
-3, -2, 0, 8
Factor 4*l**3/3 - 2*l**2/3 - 4*l/3 + 2/3.
2*(l - 1)*(l + 1)*(2*l - 1)/3
What is w in -2*w**3/3 + 2*w**2/3 + 16*w/3 - 8 = 0?
-3, 2
Factor -15*a**2/8 + 3933*a/4 - 393.
-3*(a - 524)*(5*a - 2)/8
Factor 3*g**4 + 465*g**3 - 2379*g**2 + 3351*g - 1440.
3*(g - 3)*(g - 1)**2*(g + 160)
Factor -2*o**4 + 24*o**3 - 96*o**2 + 160*o - 96.
-2*(o - 6)*(o - 2)**3
Factor -4*h**3 - 212*h**2 - 2700*h + 2916.
-4*(h - 1)*(h + 27)**2
Factor 6*n**3 + 5012*n**2/3 + 350002*n/3 + 154568/3.
2*(n + 139)**2*(9*n + 4)/3
Determine q so that 4*q**5 - 440*q**4 - 456*q**3 + 1328*q**2 + 452*q - 888 = 0.
-2, -1, 1, 111
Find l such that -3*l**4/5 - 174*l**3/5 + 8097*l**2/5 + 61596*l - 1879740 = 0.
-59, 30
Find m such that m**2 - 12*m + 27