4 + 5*t**3/4 - 105*t**2/4 - 205*t/4 - 25.
5*(t - 5)*(t + 1)**2*(t + 4)/4
Solve 15*o**5 - 1135*o**4 + 735*o**3 + 1135*o**2 - 750*o = 0.
-1, 0, 2/3, 1, 75
Suppose 3*r**3/8 - 27*r**2/8 + 9*r - 15/2 = 0. What is r?
2, 5
Factor -3*w**3 + 23817*w**2 - 47282697*w + 47258883.
-3*(w - 3969)**2*(w - 1)
Determine s, given that -9*s**5 + 24*s**4 - 3*s**3 - 24*s**2 + 12*s = 0.
-1, 0, 2/3, 1, 2
Factor -2*b**2/15 - 1986*b/5 - 11908/15.
-2*(b + 2)*(b + 2977)/15
Let -a**4 + 147*a**3 - 7203*a**2 + 117649*a = 0. Calculate a.
0, 49
Let 5*j**2/3 + 65*j + 850/3 = 0. What is j?
-34, -5
Factor 14*o**4/13 + 76*o**3/13 + 120*o**2/13 + 16*o/13 - 64/13.
2*(o + 2)**3*(7*o - 4)/13
Let 4*v**4/3 + 40*v**3/3 + 44*v**2 + 48*v = 0. What is v?
-4, -3, 0
Suppose -10*l**5 - 45*l**4 + 10*l**3 + 155*l**2 + 150*l + 40 = 0. Calculate l.
-4, -1, -1/2, 2
Let j**3/2 - 89*j**2/4 - 91*j/4 = 0. What is j?
-1, 0, 91/2
Solve 16*c**4/5 + 1602*c**3/5 + 41766*c**2/5 + 83398*c/5 + 43218/5 = 0 for c.
-49, -9/8, -1
Let -3*c**5/4 + 19*c**4/8 - 19*c**3/8 + 3*c**2/4 = 0. What is c?
0, 2/3, 1, 3/2
Suppose -2*d**2/5 + 2684*d/5 - 900482/5 = 0. What is d?
671
Factor 4*h**3 - 92*h**2.
4*h**2*(h - 23)
Let -1170*k**3 - 1401*k**2 + 1908*k + 60 = 0. What is k?
-2, -2/65, 5/6
Determine v, given that -2*v**2/3 + 212*v - 2512/3 = 0.
4, 314
Factor t**2 - 40*t + 400.
(t - 20)**2
Determine r so that -2*r**4 - 156*r**3 - 2882*r**2 + 6240*r - 3200 = 0.
-40, 1
Determine i, given that 7*i**5/12 - 785*i**4/6 + 3563*i**3/12 - 611*i**2/3 + 37*i = 0.
0, 2/7, 1, 222
Let l**4/2 - 95*l**3/6 - 373*l**2/6 + 815*l/6 - 175/3 = 0. What is l?
-5, 2/3, 1, 35
Factor -l**2 + 442*l - 1317.
-(l - 439)*(l - 3)
Suppose -2*k**5/3 + 78*k**4 + 1202*k**3/3 + 2182*k**2/3 + 568*k + 488/3 = 0. Calculate k.
-2, -1, 122
Suppose 2*r**2/5 + 6*r/5 - 52 = 0. Calculate r.
-13, 10
Factor 2*u**4 - 26*u**3 + 12*u**2 + 144*u.
2*u*(u - 12)*(u - 3)*(u + 2)
Determine f, given that -4*f**5/5 - 44*f**4 + 932*f**3/5 - 724*f**2/5 - 928*f/5 + 944/5 = 0.
-59, -1, 1, 2
Factor 2*u**5 + 264*u**4 + 9474*u**3 + 50668*u**2 + 97272*u + 63504.
2*(u + 2)**3*(u + 63)**2
Solve -3*c**4 - 3*c**3 + 12*c**2 + 12*c = 0 for c.
-2, -1, 0, 2
Determine o so that -3*o**4/7 + 57*o**3/7 + 198*o**2/7 = 0.
-3, 0, 22
Factor 146*h**2/13 + 368*h/13 + 152/13.
2*(h + 2)*(73*h + 38)/13
Find l such that -l**2/2 - 987*l/2 - 493 = 0.
-986, -1
Find g, given that 5*g**2 - 120*g + 220 = 0.
2, 22
Factor -3*m**5 + 24*m**4 - 18*m**3 - 120*m**2 - 75*m.
-3*m*(m - 5)**2*(m + 1)**2
Factor -n**3/8 + n**2/4 + 73*n/8 + 35/4.
-(n - 10)*(n + 1)*(n + 7)/8
Let i**4/5 - 4*i**3 - 192*i**2/5 + 976*i/5 - 208 = 0. Calculate i.
-10, 2, 26
Suppose 3*u**2/4 - 63*u/2 - 216 = 0. Calculate u.
-6, 48
Factor -16*o**3 - 202*o**2 + 302*o - 84.
-2*(o - 1)*(o + 14)*(8*o - 3)
Factor 8*l**3 - 18*l**2 - 110*l - 84.
2*(l + 1)*(l + 2)*(4*l - 21)
Solve -2*h**2/3 - 1363*h/6 - 170 = 0.
-340, -3/4
What is q in 6*q**5 - 8*q**4 - 50*q**3 - 52*q**2 - 16*q = 0?
-1, -2/3, 0, 4
Find m, given that 4*m**5/7 - 6*m**4/7 - 32*m**3/7 - 30*m**2/7 - 8*m/7 = 0.
-1, -1/2, 0, 4
Factor 5*m**2 - 290*m - 600.
5*(m - 60)*(m + 2)
Factor -113*c**3 - 112*c**2 + c.
-c*(c + 1)*(113*c - 1)
Factor 2*m**3 - 828*m**2/5 + 15738*m/5 + 59168/5.
2*(m - 43)**2*(5*m + 16)/5
Factor 21*b**3/4 - 17*b**2/4 - 5*b/4 + 1/4.
(b - 1)*(3*b + 1)*(7*b - 1)/4
Find a, given that -4*a**4 - 116*a**3 - 1012*a**2 - 1692*a + 8424 = 0.
-13, -9, 2
Solve -8*l**3/3 + 10*l**2/3 + 76*l/3 + 16 = 0 for l.
-2, -3/4, 4
Factor a**2/3 - 28*a/3 + 9.
(a - 27)*(a - 1)/3
Factor 9*a**2/2 - 5505*a/2 - 918.
3*(a - 612)*(3*a + 1)/2
Find w such that 280*w**5 + 444*w**4 - 148*w**3 - 72*w**2 = 0.
-9/5, -2/7, 0, 1/2
Determine q so that -2*q**4 - 16*q**3 - 26*q**2 + 60*q + 144 = 0.
-4, -3, 2
Suppose -2*z**4 - 44*z**3 - 114*z**2 = 0. Calculate z.
-19, -3, 0
Let 42*z**3/11 + 516*z**2/11 + 144*z/11 = 0. Calculate z.
-12, -2/7, 0
Solve -2*l**3 + 212*l**2 + 214*l = 0.
-1, 0, 107
What is d in -d**2/9 - 2*d/3 + 7/9 = 0?
-7, 1
Factor -2*x**2/9 - 64*x/9 - 224/9.
-2*(x + 4)*(x + 28)/9
Let -20*i**4/7 + 32*i**3 - 228*i**2/7 - 328*i - 224 = 0. Calculate i.
-2, -4/5, 7
Factor 256*h**2/9 + 448*h/9 + 196/9.
4*(8*h + 7)**2/9
Factor -3*y**3 - 12*y**2 - 9*y.
-3*y*(y + 1)*(y + 3)
Suppose -j**3/2 - 3*j**2/2 + 50*j + 150 = 0. What is j?
-10, -3, 10
Suppose -q**3 - 172*q**2 - 839*q - 668 = 0. What is q?
-167, -4, -1
Find l such that -3*l**4 + 3*l**3 + 3*l**2 - 3*l = 0.
-1, 0, 1
Find w, given that -6*w**4/5 - 104*w**3/5 - 178*w**2/3 - 140*w/3 = 0.
-14, -5/3, 0
Suppose -q**2/2 - 1041*q - 1083681/2 = 0. Calculate q.
-1041
Factor l**4 - 7*l**3 + 5*l**2 + 7*l - 6.
(l - 6)*(l - 1)**2*(l + 1)
Determine w, given that w**5/4 + 3*w**4/2 - 25*w**3/4 + 9*w**2/2 = 0.
-9, 0, 1, 2
Factor 21*j**2/2 + 6*j.
3*j*(7*j + 4)/2
Factor -c**2/3 + 28*c/3 + 111.
-(c - 37)*(c + 9)/3
Let -4*s**3 - 8*s**2 + 28*s - 16 = 0. What is s?
-4, 1
Factor 14*n**2 + 3818*n - 1092.
2*(n + 273)*(7*n - 2)
Find x, given that -23*x**2/7 + 24*x/7 - 1/7 = 0.
1/23, 1
Suppose 5*c**3/2 - 105*c**2/2 + 245*c = 0. Calculate c.
0, 7, 14
Suppose -q**2/8 - 9*q/4 = 0. Calculate q.
-18, 0
Solve 182*h**2/11 + 142*h/11 - 40/11 = 0 for h.
-1, 20/91
Factor p**4/7 - p**3/7 - 10*p**2/7 - 8*p/7.
p*(p - 4)*(p + 1)*(p + 2)/7
Factor -b**5/4 - 13*b**4 + 56*b**3.
-b**3*(b - 4)*(b + 56)/4
Factor -n**3/4 - 21*n**2/4 - 119*n/4 - 99/4.
-(n + 1)*(n + 9)*(n + 11)/4
Determine y so that 152100*y**2 - 35880*y + 2116 = 0.
23/195
Factor -3*o**4/5 - 74*o**3/5 - 539*o**2/5 - 968*o/5.
-o*(o + 11)**2*(3*o + 8)/5
Factor 3*q**2 - 129*q + 246.
3*(q - 41)*(q - 2)
Factor 2*s**2/7 - 1352*s/7 + 228488/7.
2*(s - 338)**2/7
Let 2*f**2/5 + 2*f/5 - 4/5 = 0. What is f?
-2, 1
Solve -3*g**5/5 - 42*g**4/5 + 99*g**3/5 + 42*g**2/5 - 96*g/5 = 0 for g.
-16, -1, 0, 1, 2
Let 7*c**4/4 + 80*c**3 - 757*c**2/4 + 263*c/2 - 24 = 0. Calculate c.
-48, 2/7, 1
Determine b so that 3*b**2 + 18*b = 0.
-6, 0
Factor 5*d**3 - 45*d**2 + 75*d - 35.
5*(d - 7)*(d - 1)**2
Factor -r**2/3 - 64*r/3 - 1024/3.
-(r + 32)**2/3
Factor -4*k**4 - 512*k**3 - 19576*k**2 - 204288*k - 636804.
-4*(k + 7)**2*(k + 57)**2
Suppose -2*d**2/3 - 20*d/3 + 112/3 = 0. What is d?
-14, 4
Factor 2*b**2 + 402*b + 400.
2*(b + 1)*(b + 200)
Factor f**2 - 29*f.
f*(f - 29)
Factor u**4 + 26*u**3 - 55*u**2 + 28*u.
u*(u - 1)**2*(u + 28)
Factor 2*i**2/5 - 202*i/5 - 412/5.
2*(i - 103)*(i + 2)/5
Determine x so that -2*x**3/5 + 32*x**2/5 - 138*x/5 + 36 = 0.
3, 10
Suppose -2*p**4/9 - 8*p**3/3 + 98*p**2/3 - 508*p/9 + 80/3 = 0. What is p?
-20, 1, 6
Determine s so that -s**2 - 268*s + 269 = 0.
-269, 1
Factor 4*g**4 - 3*g**3 - 4*g**2 + 3*g.
g*(g - 1)*(g + 1)*(4*g - 3)
Factor -b**4/5 + 8*b**3/5 - 18*b**2/5 + 16*b/5 - 1.
-(b - 5)*(b - 1)**3/5
Factor 2*i**2 - 56*i + 392.
2*(i - 14)**2
Factor -4*p**2 - 8776*p - 4813636.
-4*(p + 1097)**2
Solve -g**5/3 - 34*g**4/3 + 109*g**3/3 - 74*g**2/3 = 0.
-37, 0, 1, 2
Determine c so that 2*c**4 + 8*c**3 + 6*c**2 - 8*c - 8 = 0.
-2, -1, 1
Solve -u**2/3 + 2*u/3 + 56 = 0.
-12, 14
Solve -4*j**2 - 28*j + 120 = 0 for j.
-10, 3
Determine k so that -3*k**5 + 24*k**4 - 33*k**3 - 24*k**2 + 36*k = 0.
-1, 0, 1, 2, 6
Determine o, given that -2*o**5 + 104*o**4 - 1244*o**3 - 2808*o**2 - 1458*o = 0.
-1, 0, 27
Factor -16*v**3/7 + 110*v**2/7 + 302*v/7 + 36/7.
-2*(v - 9)*(v + 2)*(8*v + 1)/7
Solve m**5/2 - 3*m**4/2 - m**3/2 + 11*m**2/2 - 6*m + 2 = 0.
-2, 1, 2
Solve -2*z**2/5 - 12*z/5 - 16/5 = 0 for z.
-4, -2
Factor -5*b**4 + 105*b**3 - 510*b**2 + 940*b - 600.
-5*(b - 15)*(b - 2)**3
Suppose 4*r**5 + 56*r**4 - 264*r**3 + 416*r**2 - 284*r + 72 = 0. What is r?
-18, 1
Let 11*i**4/6 + 19*i**3/2 + 49*i**2/3 + 10*i + 4/3 = 0. Calculate i.
-2, -1, -2/11
Find c such that 2*c**2/5 - 8*c/5 + 6/5 = 0.
1, 3
Factor 4*n**5 - 28*n**4 - 12*n**3 + 92*n**2 - 56*n.
4*n*(n - 7)*(n - 1)**2*(n + 2)
Factor -5*p**2 + 205*p + 1960.
-5*(p - 49)*(p + 8)
Factor -b**3 + 39*b**2 - 266*b - 1176.
-(b - 28)*(b - 14)*(b + 3)
Let -4*i**2 + 20*i - 16 = 0. Calculate i.
1, 4
Factor -3*b**2 + 1104*b - 1101.
-3*(b - 367)*(b - 1)
Determine j, given that -2*j**2/13 - 2594*j/13 - 2592/13 = 0.
-1296, -1
Find u, given that -4*u**3 + 452*u**2 - 2604*u + 3852 = 0.
3, 107
Solve -2*q**4 + 58*q**3 - 38*q**2 - 6498*q = 0.
-9, 0, 19
What is b in -12*b**4 + 202*b**3 + 34*b**2 = 0?
-1/6, 0, 17
Factor x**2/5 - 66*x + 5445.
(x - 165)**2/5
Let q**5/5 - 3*