05 = 0.
-3, 7
Factor 4*n**4 + 4*n**3 - 16*n**2 - 16*n.
4*n*(n - 2)*(n + 1)*(n + 2)
Suppose -4*b**5 - 76*b**4 - 76*b**3 + 1164*b**2 + 2448*b = 0. Calculate b.
-17, -3, 0, 4
Suppose -7*d**3/9 + 394*d**2/9 - 1225*d/9 + 106/3 = 0. What is d?
2/7, 3, 53
Factor -226*f**2/17 - 224*f/17 + 2/17.
-2*(f + 1)*(113*f - 1)/17
Factor 5*w**5 + 20*w**4 + 15*w**3 - 20*w**2 - 20*w.
5*w*(w - 1)*(w + 1)*(w + 2)**2
Find b, given that 2*b**3 - 434*b**2 - 874*b - 438 = 0.
-1, 219
Find p, given that -20*p**4 - 32*p**3 - 4*p**2 + 8*p = 0.
-1, 0, 2/5
Factor -i**2/7 - 1688*i/7 - 712336/7.
-(i + 844)**2/7
Suppose -2*q**4/11 - 94*q**3/11 + 98*q**2/11 + 94*q/11 - 96/11 = 0. Calculate q.
-48, -1, 1
Factor -2*i**3/19 - 502*i**2/19 + 1524*i/19.
-2*i*(i - 3)*(i + 254)/19
Factor -12*c**3 - 45*c**2 - 36*c + 12.
-3*(c + 2)**2*(4*c - 1)
Find j such that j**4 - 8*j**3 = 0.
0, 8
Let -48*f**5 - 100*f**4 + 234*f**3 + 312*f**2 + 14*f - 12 = 0. Calculate f.
-3, -1, -1/4, 1/6, 2
Let -15*l**4 + 123*l**3 - 279*l**2 + 201*l - 30 = 0. Calculate l.
1/5, 1, 2, 5
What is i in -2*i**3 + 24*i**2 + 26*i = 0?
-1, 0, 13
What is v in -2*v**4 - 10*v**3 + 6*v**2 + 34*v + 20 = 0?
-5, -1, 2
Factor q**5 - 43*q**4 + 82*q**3 + 2*q**2 - 83*q + 41.
(q - 41)*(q - 1)**3*(q + 1)
Factor -t**4/11 - 16*t**3/11 - 15*t**2/11.
-t**2*(t + 1)*(t + 15)/11
Determine j so that -5*j**4 + 1170*j**3 - 99960*j**2 + 3652960*j - 47164800 = 0.
30, 68
Let t**5/3 - 7*t**4 - 23*t**3/3 + 7*t**2 + 22*t/3 = 0. Calculate t.
-1, 0, 1, 22
Factor u**3/5 - 108*u**2/5 + 3021*u/5 - 5618/5.
(u - 53)**2*(u - 2)/5
Factor -2*s**3 - 2*s**2.
-2*s**2*(s + 1)
Factor 2*g**2/3 - 16*g/3 + 14/3.
2*(g - 7)*(g - 1)/3
Suppose -5*k**4 + 3470*k**3 - 598565*k**2 - 1207560*k - 605520 = 0. What is k?
-1, 348
Determine q so that 5*q**2 - 180*q + 900 = 0.
6, 30
Factor -4*w**3 - 24*w**2 - 36*w.
-4*w*(w + 3)**2
Factor 14*w**3 + 30*w**2 - 272*w - 288.
2*(w - 4)*(w + 1)*(7*w + 36)
Determine o, given that 3*o**5 + 111*o**4 - 357*o**3 + 129*o**2 + 354*o - 240 = 0.
-40, -1, 1, 2
Factor 1587*x**5/2 + 5037*x**4/2 + 5601*x**3/2 + 2451*x**2/2 + 156*x + 6.
3*(x + 1)**3*(23*x + 2)**2/2
Find w, given that w**3/2 - 17*w**2 + 265*w/2 + 150 = 0.
-1, 15, 20
Factor 2*z**5 - 84*z**4 + 882*z**3.
2*z**3*(z - 21)**2
Factor 3*q**2 + 906*q + 903.
3*(q + 1)*(q + 301)
Factor f**3/8 + 3*f**2/4 - 19*f/8 - 3.
(f - 3)*(f + 1)*(f + 8)/8
Let -17*s**3 - 117*s**2 - 88*s + 12 = 0. What is s?
-6, -1, 2/17
Factor -2*z**2/3 + 2*z/3 + 104.
-2*(z - 13)*(z + 12)/3
Suppose n**4/4 - 8*n**3 + 42*n**2 - 80*n + 52 = 0. Calculate n.
2, 26
Determine i, given that 2*i**5/5 - 82*i**4/15 - 14*i**3/3 + 538*i**2/15 + 688*i/15 + 56/5 = 0.
-2, -1, -1/3, 3, 14
What is z in 3*z**3 - 81*z**2 + 78*z = 0?
0, 1, 26
Let z**5 + 86*z**4 - z**3 - 86*z**2 = 0. What is z?
-86, -1, 0, 1
Factor -5*m**3 - 25*m**2 - 10*m + 40.
-5*(m - 1)*(m + 2)*(m + 4)
Factor -f**2/3 - 938*f - 659883.
-(f + 1407)**2/3
Factor -5*x**2/3 - 955*x.
-5*x*(x + 573)/3
Suppose -y**5/3 + 3*y**4 - 5*y**3 + 7*y**2/3 = 0. Calculate y.
0, 1, 7
Factor -3*y**5 - 213*y**4 + 1842*y**3 - 4218*y**2 + 3777*y - 1185.
-3*(y - 5)*(y - 1)**3*(y + 79)
Factor -3*i**5 + 6*i**4 - 6*i**2 + 3*i.
-3*i*(i - 1)**3*(i + 1)
Factor 3*j**2/2 + 495*j + 81675/2.
3*(j + 165)**2/2
Factor a**2 + 211*a + 1030.
(a + 5)*(a + 206)
Solve 5*w**4/8 + 37*w**3/8 + 9*w**2/8 - 37*w/8 - 7/4 = 0 for w.
-7, -1, -2/5, 1
Factor k**2/7 - 86*k/7 - 87/7.
(k - 87)*(k + 1)/7
Factor 3*d**2 - 30*d + 72.
3*(d - 6)*(d - 4)
Factor u**5/5 + 9*u**4/5 + 29*u**3/5 + 43*u**2/5 + 6*u + 8/5.
(u + 1)**3*(u + 2)*(u + 4)/5
Let -4*l**4 + 32*l**3 - 8*l**2 - 128*l - 84 = 0. What is l?
-1, 3, 7
Solve 3*f**5/5 - 57*f**4/5 - 411*f**3/5 - 939*f**2/5 - 888*f/5 - 60 = 0 for f.
-2, -1, 25
Factor 2*l**3/9 - 16*l**2/9 - 56*l/9 + 160/9.
2*(l - 10)*(l - 2)*(l + 4)/9
Find h, given that 2*h**2/3 + 70*h/3 + 200 = 0.
-20, -15
Suppose 5*w**5 + 920*w**4 + 44910*w**3 + 231400*w**2 - 277235*w = 0. What is w?
-89, -7, 0, 1
Suppose 4*p**3 - 16*p = 0. Calculate p.
-2, 0, 2
Determine i, given that i**4 + 9*i**3 - 15*i**2 - 53*i - 30 = 0.
-10, -1, 3
Determine d so that -2*d**5/9 + 10*d**4/9 - 14*d**3/9 + 2*d**2/3 = 0.
0, 1, 3
Suppose -4*q**4 + 52*q**3 - 92*q**2 + 44*q = 0. Calculate q.
0, 1, 11
Solve x**2/7 + 26*x/7 + 169/7 = 0 for x.
-13
Let -188*b**3 + 524*b**2 - 256*b - 80 = 0. What is b?
-10/47, 1, 2
Find r such that -6*r**4/5 + 7*r**3 - 26*r**2/5 + r = 0.
0, 1/3, 1/2, 5
Suppose 3*y**4 - 183*y**3 + 531*y**2 - 525*y + 174 = 0. Calculate y.
1, 58
Suppose 4*k**5 + 108*k**4 + 200*k**3 - 8*k**2 - 204*k - 100 = 0. Calculate k.
-25, -1, 1
Factor -2*s**3 - 734*s**2/3 - 22570*s/3 - 7442/3.
-2*(s + 61)**2*(3*s + 1)/3
Solve 164*p**3/7 - 1796*p**2/7 + 1552*p/7 + 80/7 = 0.
-2/41, 1, 10
Suppose -14*m**4/9 + 184*m**3/3 - 758*m**2/9 - 28*m/3 + 304/9 = 0. Calculate m.
-4/7, 1, 38
Factor -y**2/5 + 93*y/5 + 94/5.
-(y - 94)*(y + 1)/5
Factor 12*m**4 + 4*m**3 - 36*m**2 - 36*m - 8.
4*(m - 2)*(m + 1)**2*(3*m + 1)
Factor -4*x**3 + 12*x**2 + 88*x - 96.
-4*(x - 6)*(x - 1)*(x + 4)
Find r such that -2*r**3/3 + 112*r**2 - 4704*r = 0.
0, 84
Factor -5*b**5 - 1830*b**4 - 167445*b**3.
-5*b**3*(b + 183)**2
What is n in n**4/3 - n**3 - n**2 + 11*n/3 - 2 = 0?
-2, 1, 3
Factor -36*t**2 + 6344*t - 1408.
-4*(t - 176)*(9*t - 2)
Solve -2*b**5/21 - 22*b**4/3 + 1714*b**3/21 - 794*b**2/7 - 3504*b/7 - 2088/7 = 0.
-87, -1, 6
Determine y so that -y**4 + 13*y**3 + 14*y**2 = 0.
-1, 0, 14
Let 86*c**2 + 108*c - 128 = 0. What is c?
-2, 32/43
Factor g**3 + 24*g**2 + 23*g.
g*(g + 1)*(g + 23)
Determine d, given that -d**5 + 3*d**4 + d**3 - 3*d**2 = 0.
-1, 0, 1, 3
Factor -3672050*j**2/11 + 5420*j/11 - 2/11.
-2*(1355*j - 1)**2/11
Let p**3/5 + 13*p**2/5 + 6*p = 0. Calculate p.
-10, -3, 0
Find n, given that -6*n**4 + 8*n**3 + 98*n**2 - 92*n - 176 = 0.
-11/3, -1, 2, 4
Factor -f**3 - 226*f**2 + 233*f + 1362.
-(f - 3)*(f + 2)*(f + 227)
Find g such that 4*g**5/5 + 24*g**4 + 196*g**3/5 - 768*g**2/5 + 448*g/5 = 0.
-28, -4, 0, 1
Factor -x**2 + 28*x - 132.
-(x - 22)*(x - 6)
Factor -2*i**2 + 144*i - 2592.
-2*(i - 36)**2
Factor 21*j**2 - 365*j + 136.
(j - 17)*(21*j - 8)
Factor -3*x**2/2 + 2037*x/2 - 1017.
-3*(x - 678)*(x - 1)/2
Let -2*z**2 - 50*z - 288 = 0. Calculate z.
-16, -9
Suppose -r**4/3 - 73*r**3/6 + 142*r**2/3 + 80*r/3 = 0. What is r?
-40, -1/2, 0, 4
Solve -4*c**5 - 12*c**4 + 36*c**3 - 20*c**2 = 0.
-5, 0, 1
Find d such that -69*d**3 + 275*d**2/2 - 68*d - 1/2 = 0.
-1/138, 1
Factor -2*t**2 + 1362*t + 5480.
-2*(t - 685)*(t + 4)
Find s such that s**3/6 - s**2/3 - s/6 + 1/3 = 0.
-1, 1, 2
Find k such that -2*k**3/19 - 22*k**2/19 - 2*k - 18/19 = 0.
-9, -1
Factor 3*s**2 + 30*s - 72.
3*(s - 2)*(s + 12)
Factor -2*t**5/7 + 2*t**4 - 30*t**3/7 + 26*t**2/7 - 8*t/7.
-2*t*(t - 4)*(t - 1)**3/7
Solve 10*p**3/17 + 1086*p**2/17 - 436*p/17 = 0 for p.
-109, 0, 2/5
Factor a**3/6 + a**2/3 - 19*a/6 - 10/3.
(a - 4)*(a + 1)*(a + 5)/6
Factor u**4/5 - 36*u**3/5 - 199*u**2/5 - 246*u/5.
u*(u - 41)*(u + 2)*(u + 3)/5
What is t in 150*t**2 - 748*t - 10 = 0?
-1/75, 5
Determine p, given that 4*p**5/7 - 248*p**4/7 + 720*p**3/7 - 712*p**2/7 + 236*p/7 = 0.
0, 1, 59
Factor -7*c**3/5 + 36*c**2/5 + 37*c/5 - 6/5.
-(c - 6)*(c + 1)*(7*c - 1)/5
Determine s, given that -2*s**4/7 - 4*s**3 + 110*s**2/7 + 1936*s/7 = 0.
-11, 0, 8
Find b such that -3*b**4/7 - 36*b**3/7 - 81*b**2/7 = 0.
-9, -3, 0
Solve -2*c**2/3 + 836*c/3 - 87362/3 = 0.
209
Find s, given that -2*s**4/13 + 46*s**3/13 + 398*s**2/13 + 50*s + 300/13 = 0.
-5, -1, 30
Solve 7*v**5 - 247*v**4 + 973*v**3 - 1357*v**2 + 748*v - 124 = 0 for v.
2/7, 1, 2, 31
Factor 2*s**4/5 - 1244*s**3/5 + 204314*s**2/5 - 3381192*s/5 + 14775048/5.
2*(s - 302)**2*(s - 9)**2/5
Factor -w**5/2 - 53*w**4/2 - 485*w**3 - 3349*w**2 - 10693*w/2 - 4913/2.
-(w + 1)**2*(w + 17)**3/2
Suppose -2*b**5 - 8*b**4 + 388*b**3 + 3640*b**2 + 6958*b - 10976 = 0. Calculate b.
-7, 1, 16
Factor 2*i**4/13 + 50*i**3/13 + 92*i**2/13.
2*i**2*(i + 2)*(i + 23)/13
Determine q, given that 3*q**2/5 - 6*q - 72/5 = 0.
-2, 12
Factor -21*y**3 - 57*y**2 + 6*y + 72.
-3*(y - 1)*(y + 2)*(7*y + 12)
Suppose 3*g**4 + 9*g**3 = 0. Calculate g.
-3, 0
Let 2*s**3 + 64*s**2 + 512*s = 0. What is s?
-16, 0
Suppose 2*d**3/7 + 76*d**2/7 + 578*d/7 + 72 = 0. Calculate d.
-28, -9, -1
Let 164*v**2 - 156*v - 8 = 0. What is v?
-2/41, 1
Factor 32*f**2 - 332*f/5 + 24/5.
4*(f - 2)*(40*f