- 38407*s - 118803 = 0. Calculate s.
-3, 199
Factor -3*s**3 - 9*s**2 + 12*s.
-3*s*(s - 1)*(s + 4)
Determine l so that -2*l**4 - 16*l**3 - 40*l**2 - 32*l = 0.
-4, -2, 0
Factor -3*s**4 - 12*s**3 - 6*s**2 + 12*s + 9.
-3*(s - 1)*(s + 1)**2*(s + 3)
Determine n so that -4*n**2 - 2920*n - 532900 = 0.
-365
Factor -14*o**3 + 114*o**2 + 128*o.
-2*o*(o + 1)*(7*o - 64)
Find a, given that -6069*a**5/4 + 1581*a**4/2 + 5577*a**3/4 - 1569*a**2/2 + 123*a - 6 = 0.
-1, 2/17, 2/7, 1
Suppose 4*l**3/7 + 12*l**2/7 = 0. Calculate l.
-3, 0
Let 2*m**4/3 - 12*m**3 + 154*m**2/3 = 0. Calculate m.
0, 7, 11
What is w in 49*w**5/2 + 112*w**4 + 165*w**3/2 - 125*w**2 - 82*w - 12 = 0?
-3, -2, -2/7, 1
Determine x, given that -2*x**2/5 - 124*x/5 + 78 = 0.
-65, 3
Suppose -c**2/4 + 3*c/2 - 5/4 = 0. Calculate c.
1, 5
Find b such that -b**2/2 - 99*b/2 - 144 = 0.
-96, -3
What is g in -3*g**2 - 90*g - 663 = 0?
-17, -13
Solve p**2/2 - 521*p + 271441/2 = 0.
521
Suppose -2*k**2 + 1572*k - 308898 = 0. Calculate k.
393
Factor 2*t**4 - 7376*t**3 + 9070020*t**2 - 3721726624*t + 3712663978.
2*(t - 1229)**3*(t - 1)
Solve -z**4 - 7*z**3 - 17*z**2 - 17*z - 6 = 0.
-3, -2, -1
Factor 2*k**2/21 + 568*k/21 - 190/7.
2*(k - 1)*(k + 285)/21
Factor -b**3/8 - b**2/4.
-b**2*(b + 2)/8
Factor -3*t**4 - 132*t**3 - 444*t**2 + 22176*t - 84672.
-3*(t - 6)**2*(t + 28)**2
Find m such that -4*m**3 + 68*m**2 - 160*m - 1200 = 0.
-3, 10
Factor 7*d**2 + 33*d - 10.
(d + 5)*(7*d - 2)
Let 16*f**2 + 12*f - 88 = 0. What is f?
-11/4, 2
Solve 5*b**5 - 10*b**4 - 5*b**3 + 10*b**2 = 0.
-1, 0, 1, 2
Solve -5*d**4 + 1530*d**3 - 1500*d**2 - 7610*d - 4575 = 0 for d.
-1, 3, 305
Solve -2*r**4 - 110*r**3 - 312*r**2 + 8*r + 416 = 0.
-52, -2, 1
Suppose -3*k**3 + 147*k**2 - 984*k = 0. Calculate k.
0, 8, 41
Solve -12*w**3 - 684*w**2 - 675*w - 168 = 0 for w.
-56, -1/2
What is u in -3*u**2 - 7530*u - 4725075 = 0?
-1255
Suppose 16*f**3 + 132*f**2 + 288*f + 64 = 0. Calculate f.
-4, -1/4
Let -3*l**2 - 9747*l + 9750 = 0. What is l?
-3250, 1
Factor -c**5/4 - 39*c**4/4 + 123*c**3/4 - 125*c**2/4 + 21*c/2.
-c*(c - 1)**3*(c + 42)/4
Suppose -2*m**3/7 - 76*m**2/7 - 722*m/7 = 0. Calculate m.
-19, 0
Suppose -3*s**2 + 3084*s - 792588 = 0. Calculate s.
514
Factor 3*h**4/2 + 165*h**3/2 + 159*h**2.
3*h**2*(h + 2)*(h + 53)/2
What is k in k**4/6 + 2*k**3 + 35*k**2/6 - 2*k - 6 = 0?
-6, -1, 1
Solve 100*o**5 + 240*o**4 - 815*o**3 - 1965*o**2 - 1265*o - 255 = 0.
-17/5, -1, -1/2, 3
Factor 3*i**4/5 + 51*i**3/5 + 279*i**2/5 + 105*i + 294/5.
3*(i + 1)*(i + 2)*(i + 7)**2/5
Suppose 2*c**5/11 - 90*c**4/11 + 894*c**3/11 - 322*c**2 + 5904*c/11 - 288 = 0. What is c?
1, 3, 4, 33
Solve 3*n**3/2 - 12*n**2 - 99*n/2 = 0.
-3, 0, 11
Factor -p**2/4 - 215*p/4 - 107/2.
-(p + 1)*(p + 214)/4
Solve 4*g**2/9 + 68*g/3 + 392/9 = 0 for g.
-49, -2
What is p in 4*p**4/5 + 32*p**3/5 + 84*p**2/5 + 88*p/5 + 32/5 = 0?
-4, -2, -1
Factor g**5/3 + 2*g**4 + 4*g**3/3 - 2*g**2 - 5*g/3.
g*(g - 1)*(g + 1)**2*(g + 5)/3
Factor -4*w**2 - 48*w - 80.
-4*(w + 2)*(w + 10)
Find q such that 4*q**2/3 + 148*q/3 = 0.
-37, 0
Solve k**2/4 + 124*k + 495/4 = 0 for k.
-495, -1
Factor -21*f**5/4 - 39*f**4/2 - 51*f**3/2 - 12*f**2 + 3*f/4 + 3/2.
-3*(f + 1)**4*(7*f - 2)/4
Factor -3*y**4 - 54*y**3 + 336*y**2 - 234*y - 621.
-3*(y - 3)**2*(y + 1)*(y + 23)
Find b such that -2*b**4/15 + 4*b**3/15 - 2*b**2/15 = 0.
0, 1
Factor -2*f**3/19 - 36*f**2/19 - 192*f/19 - 256/19.
-2*(f + 2)*(f + 8)**2/19
Factor -3*s**2 + 1320*s + 3987.
-3*(s - 443)*(s + 3)
Suppose 75*f**2/2 + 1215*f + 19683/2 = 0. What is f?
-81/5
Factor 4*y**2 - 1544*y + 148996.
4*(y - 193)**2
Factor g**3 + 11*g**2 + 19*g + 9.
(g + 1)**2*(g + 9)
Find y such that 4*y**2 + 32*y + 48 = 0.
-6, -2
Determine t so that -15*t**5 + 80*t**4 + 165*t**3 + 70*t**2 = 0.
-1, -2/3, 0, 7
Factor q**2/10 - 404*q/5 + 807/10.
(q - 807)*(q - 1)/10
Factor 2*o**4/7 - 264*o**3/7 - 38*o**2.
2*o**2*(o - 133)*(o + 1)/7
Solve 3*b**5 - 9*b**4 - 63*b**3 + 33*b**2 + 144*b - 108 = 0.
-3, -2, 1, 6
Suppose j**4/2 + 42*j**3 + 960*j**2 - 2048*j - 196608 = 0. What is j?
-32, 12
Factor -5*j**2 + 135*j - 130.
-5*(j - 26)*(j - 1)
Determine x so that 5*x**3 - 865*x**2 + 32880*x - 360000 = 0.
24, 125
Solve -h**5/2 + 17*h**4 - 120*h**3 = 0 for h.
0, 10, 24
Find q, given that -2*q**5 + 788*q**4 + 5578*q**3 + 14396*q**2 + 16024*q + 6416 = 0.
-2, -1, 401
Let -2*s**5/5 + 14*s**4 - 764*s**3/5 + 1972*s**2/5 + 6526*s/5 + 3718/5 = 0. What is s?
-1, 11, 13
Factor -n**5/2 + 4*n**4 - 2*n**3 - 13*n**2 + 37*n/2 - 7.
-(n - 7)*(n - 1)**3*(n + 2)/2
Let -25*a**4 - 95*a**3 + 45*a**2 + 95*a - 20 = 0. Calculate a.
-4, -1, 1/5, 1
Find m such that 5*m**3 - 95*m**2 - 100*m = 0.
-1, 0, 20
Factor -2*z**3 + 4*z**2/5 + 22*z/5 - 16/5.
-2*(z - 1)**2*(5*z + 8)/5
What is q in -2*q**4 + 4*q**3 + 14*q**2 + 8*q = 0?
-1, 0, 4
Factor -3*q**2 - 33*q + 36.
-3*(q - 1)*(q + 12)
Factor -2*l**4 + 120*l**3 + 124*l**2 - 120*l - 122.
-2*(l - 61)*(l - 1)*(l + 1)**2
Factor -4*s**2/13 - 4002*s/13 - 5994/13.
-2*(s + 999)*(2*s + 3)/13
Find p, given that -p**3 - 9*p**2 + 25*p + 33 = 0.
-11, -1, 3
What is s in -3*s**4 - 123*s**3/4 + 129*s**2/2 + 18*s = 0?
-12, -1/4, 0, 2
Factor -4*u**2/5 - 16*u/5 + 128/5.
-4*(u - 4)*(u + 8)/5
Let -24*d**5/5 + 1302*d**4/5 - 16476*d**3/5 - 6450*d**2 - 9744*d/5 + 4704/5 = 0. Calculate d.
-1, 1/4, 28
Find l such that -3364*l**4/9 + 1276*l**3/3 + 6248*l**2/9 - 304*l/3 + 32/9 = 0.
-1, 2/29, 2
Determine n, given that -2*n**3/5 + 34*n**2/5 - 12*n = 0.
0, 2, 15
Find b such that 2*b**2 + 1722*b = 0.
-861, 0
Factor -2*i**2/9 + 52*i/9 + 6.
-2*(i - 27)*(i + 1)/9
Suppose 2*q**5/17 + 2*q**4/17 - 40*q**3/17 - 40*q**2/17 + 128*q/17 + 128/17 = 0. What is q?
-4, -2, -1, 2, 4
Solve -4*x**5 + 40*x**4 + 300*x**3 - 2000*x**2 - 10000*x = 0.
-5, 0, 10
Solve -c**4 + 60*c**3 + 186*c**2 + 188*c + 63 = 0.
-1, 63
Suppose r**3/4 - 17*r**2/4 + 19*r - 15 = 0. Calculate r.
1, 6, 10
Factor 6*q**3 - 304*q**2 - 102*q.
2*q*(q - 51)*(3*q + 1)
Factor 5*z**4 + 180*z**3 - 380*z**2.
5*z**2*(z - 2)*(z + 38)
What is g in g**2 + 400*g + 40000 = 0?
-200
What is o in 42*o**5/5 - 172*o**4/5 - 614*o**3/5 + 816*o**2/5 - 72*o/5 = 0?
-3, 0, 2/21, 1, 6
Factor -5*i**4 - 120*i**3 + 135*i**2 + 250*i.
-5*i*(i - 2)*(i + 1)*(i + 25)
Factor 2*i**3 + 6*i**2 - 18*i - 54.
2*(i - 3)*(i + 3)**2
Let -4*g**2 + 312*g - 6084 = 0. What is g?
39
Suppose -r**2 - 26*r + 27 = 0. Calculate r.
-27, 1
Let 4*h**2 - 7560*h + 3572100 = 0. Calculate h.
945
Suppose 4*s**2/3 - 8036*s/3 + 8032/3 = 0. What is s?
1, 2008
Let s**2/3 - 14*s + 39 = 0. Calculate s.
3, 39
Suppose -4*i**4 + 1016*i**3 - 1004*i**2 - 2024*i = 0. What is i?
-1, 0, 2, 253
Solve 3*s**4/2 - 6*s**3 - 18*s**2 = 0 for s.
-2, 0, 6
Suppose -g**2/5 + 33*g/5 = 0. Calculate g.
0, 33
Factor -5*u**2 - 610*u + 1875.
-5*(u - 3)*(u + 125)
Factor -3*t**2/2 + 9*t - 15/2.
-3*(t - 5)*(t - 1)/2
Factor -2*l**4/5 - 2*l**3 - 16*l**2/5 - 8*l/5.
-2*l*(l + 1)*(l + 2)**2/5
Determine a, given that -115*a**4 + 3000*a**3 + 2845*a**2 - 270*a = 0.
-1, 0, 2/23, 27
Factor 4*b**3 - 228*b**2 - 468*b - 236.
4*(b - 59)*(b + 1)**2
Suppose -5*w**5 + 31*w**4 - 26*w**3 - 26*w**2 + 31*w - 5 = 0. Calculate w.
-1, 1/5, 1, 5
Find i, given that i**3/2 - 26*i**2 + 338*i = 0.
0, 26
Let 3*o**2 - 120*o + 612 = 0. Calculate o.
6, 34
Factor -34*s**2 - 53*s - 19.
-(s + 1)*(34*s + 19)
Suppose -64*u**3/5 + 2096*u**2/5 - 21201*u/5 + 12321 = 0. Calculate u.
5, 111/8
Factor 3*s**3/2 + 2145*s**2 - 4293*s/2.
3*s*(s - 1)*(s + 1431)/2
Factor 4*s**2 + 656*s.
4*s*(s + 164)
Factor -4*y**2 - 472*y - 13924.
-4*(y + 59)**2
Determine k so that 15*k**5 + 1325*k**4 + 28070*k**3 - 55590*k**2 - 112725*k - 30375 = 0.
-45, -1, -1/3, 3
Solve -2*u**3/3 + 632*u**2/3 - 1882*u/3 + 1252/3 = 0 for u.
1, 2, 313
Suppose 3*o**2 - 1710*o + 3408 = 0. Calculate o.
2, 568
Factor -5*b**2 + 145*b + 150.
-5*(b - 30)*(b + 1)
Factor -d**2 + 59*d - 220.
-(d - 55)*(d - 4)
Factor 2*o**3/7 - 214*o**2/7 - 62*o - 218/7.
2*(o - 109)*(o + 1)**2/7
Determine o so that 4*o**2 + 32*o - 80 = 0.
-10, 2
Let -h**4 + 387*h**3 = 0. What is h?
0, 387
Determine p, given that 4*p**4 - 52*p**3 + 84*p**2 + 52*p - 88 = 0.
-1, 1, 2, 11
What is h in -1176*h**5 + 42*h**4 + 2265*h**3 + 687*h**2 - 333*h + 27 = 0?
-1, -3/4, 1/7, 3/2
Find g, given that -7*g**4 + 271*g**3 - 930*g**2 + 692*g + 280 = 0.
-2/7, 2, 35
Factor 2*x**2/11 - 802*x/11.
2*x*(x - 401)/11
Solve 2*k