e 3*k**5/4 - 7*k**4/4 - 9*k**3/4 + 7*k**2/4 + 3*k/2 = 0.
-1, -2/3, 0, 1, 3
Factor 3*f**5 + 9*f**4 - 3*f**3 - 9*f**2.
3*f**2*(f - 1)*(f + 1)*(f + 3)
Solve 3*r**5/7 + 9*r**4/7 - 45*r**3/7 + 51*r**2/7 - 18*r/7 = 0.
-6, 0, 1
Suppose -3*m**5 + 105*m**4 - 270*m**3 - 660*m**2 + 2760*m - 2304 = 0. What is m?
-3, 2, 32
Find r such that 2*r**3 - 70*r**2 + 736*r - 2432 = 0.
8, 19
Let f**3 + 43*f**2 + 287*f + 245 = 0. Calculate f.
-35, -7, -1
Find x such that -12*x**5 + 8*x**4 + 40*x**3 - 48*x**2 + 4*x + 8 = 0.
-2, -1/3, 1
Let a**3 + 34*a**2 + 241*a - 276 = 0. What is a?
-23, -12, 1
Factor 3*q**2/8 + 21*q/4 - 45/8.
3*(q - 1)*(q + 15)/8
Suppose -2*f**2 + 736*f = 0. Calculate f.
0, 368
Factor -41405*j**3 + 250250*j**2 - 10940*j + 120.
-5*(j - 6)*(91*j - 2)**2
Solve -f**4/10 - 4*f**3/5 - f**2/5 + 16*f/5 - 21/10 = 0.
-7, -3, 1
Factor -y**3 + 13*y**2 - 50*y + 56.
-(y - 7)*(y - 4)*(y - 2)
Determine x so that -12*x**4 + 47*x**3 + 65*x**2 + x - 5 = 0.
-1, -1/3, 1/4, 5
Let -2*y**4/5 + 118*y**3/5 - 226*y**2/5 - 118*y/5 + 228/5 = 0. Calculate y.
-1, 1, 2, 57
What is n in -n**4 + 351*n**3 - 30269*n**2 - 93279*n - 62658 = 0?
-2, -1, 177
Find n, given that 2*n**2/19 + 108*n/19 + 1458/19 = 0.
-27
Determine l, given that l**2/2 + 15*l/2 + 18 = 0.
-12, -3
Factor -2*x**2/17 - 584*x/17 - 582/17.
-2*(x + 1)*(x + 291)/17
Suppose 3*g**3 - 324*g**2 - 12*g + 1296 = 0. What is g?
-2, 2, 108
Factor -n**3 - 40*n**2 + 127*n - 86.
-(n - 2)*(n - 1)*(n + 43)
Factor 3*x**4/4 + 6*x**3 - 171*x**2/4 - 300*x + 336.
3*(x - 7)*(x - 1)*(x + 8)**2/4
Solve -2*j**2/5 + 292*j/5 = 0 for j.
0, 146
Factor -2*m**3/7 - 86*m**2/7 - 138*m - 126.
-2*(m + 1)*(m + 21)**2/7
Factor 17*l**3/5 + 108*l**2/5 + 36*l/5.
l*(l + 6)*(17*l + 6)/5
Factor -t**4/5 - 11*t**3 + t**2/5 + 11*t.
-t*(t - 1)*(t + 1)*(t + 55)/5
Factor 21*y**2 - 1149*y - 330.
3*(y - 55)*(7*y + 2)
Find q, given that 6*q**5/5 - 87*q**4/5 + 459*q**3/5 - 1083*q**2/5 + 231*q - 90 = 0.
1, 3/2, 2, 5
Factor -50*q**4 - 9580*q**3 - 449202*q**2 + 927344*q - 468512.
-2*(q - 1)**2*(5*q + 484)**2
Factor 25*h**4 - 155*h**3 - 136*h**2 - 28*h.
h*(h - 7)*(5*h + 2)**2
Factor 5*s**2 + 465*s.
5*s*(s + 93)
Let 4*p**3 - 156*p**2 + 912*p + 2480 = 0. What is p?
-2, 10, 31
Factor 3*a**3/4 - 225*a**2/4 + 414*a - 804.
3*(a - 67)*(a - 4)**2/4
Factor m**2 - 64*m.
m*(m - 64)
Factor -r**3/7 - 75*r**2/7 - 944*r/7.
-r*(r + 16)*(r + 59)/7
Suppose -3*q**4 - 15*q**3 + 30*q**2 + 60*q - 72 = 0. What is q?
-6, -2, 1, 2
Factor 4*n**4 - 8*n**3 - 12*n**2 + 32*n - 16.
4*(n - 2)*(n - 1)**2*(n + 2)
Factor 9*d**4/7 - 68*d**3/7 - 212*d**2/7 - 80*d/7.
d*(d - 10)*(d + 2)*(9*d + 4)/7
Solve w**3/5 + 5*w**2 + 24*w/5 = 0 for w.
-24, -1, 0
Factor 3*r**4 - 141*r**3 - 1857*r**2 - 3279*r - 1566.
3*(r - 58)*(r + 1)**2*(r + 9)
Suppose -c**5/7 + 15*c**4/7 + 54*c**3/7 + 4*c**2/7 - 72*c/7 = 0. Calculate c.
-2, 0, 1, 18
Factor 25*u**4 + 2810*u**3 + 79520*u**2 + 31360*u.
5*u*(u + 56)**2*(5*u + 2)
Factor 3*t**4/4 + 447*t**3/2 + 67491*t**2/4 + 33078*t + 16428.
3*(t + 1)**2*(t + 148)**2/4
Factor -j**3/3 + 101*j**2/3 - 296*j/3 + 196/3.
-(j - 98)*(j - 2)*(j - 1)/3
Let d**4/2 - 3*d**3/2 - 10*d**2 + 24*d + 32 = 0. Calculate d.
-4, -1, 4
Factor 4*r**2 - 60*r + 144.
4*(r - 12)*(r - 3)
Factor -4*x**4 - 1216*x**3 - 108856*x**2 - 2498880*x - 16892100.
-4*(x + 15)**2*(x + 137)**2
Let 8*v**4 - 106*v**3/5 + 26*v**2/5 + 64*v/5 - 24/5 = 0. Calculate v.
-3/4, 2/5, 1, 2
Determine m, given that 10*m**5 - 55*m**4 - 5*m**3 + 185*m**2 - 185*m + 50 = 0.
-2, 1/2, 1, 5
Factor 3*x**3/5 + 75*x**2 - 771*x/5 - 1143/5.
3*(x - 3)*(x + 1)*(x + 127)/5
Suppose -2*h**3/9 - 82*h**2 - 10086*h - 413526 = 0. What is h?
-123
Let -2*x**3/5 - 48*x**2/5 + 10*x = 0. What is x?
-25, 0, 1
Determine k so that 2*k**5/3 + 4*k**4/3 + 2*k**3/3 = 0.
-1, 0
Find d, given that d**4/10 - 1506*d**3/5 + 1701027*d**2/5 - 853915554*d/5 + 321499206081/10 = 0.
753
Factor v**2/8 + v/8.
v*(v + 1)/8
Factor 16*l**2 - 163*l + 30.
(l - 10)*(16*l - 3)
Let 5*r**4 + 10*r**3 - 40*r**2 - 90*r - 45 = 0. Calculate r.
-3, -1, 3
Find m, given that 2*m**4/15 + 926*m**3/15 + 107642*m**2/15 + 34958*m/5 - 71148/5 = 0.
-231, -2, 1
Determine b, given that b**4 + 46*b**3 + 649*b**2 + 2760*b + 3600 = 0.
-20, -3
Factor 5*d**3 + 125*d**2 + 615*d + 855.
5*(d + 3)**2*(d + 19)
Factor -g**4/2 + 7*g**3/6 - 2*g**2/3.
-g**2*(g - 1)*(3*g - 4)/6
Factor 2*h**3 - 38*h**2 - 1170*h - 5994.
2*(h - 37)*(h + 9)**2
Let -2*j**5/9 - 32*j**4/9 - 14*j**3 - 184*j**2/9 - 88*j/9 = 0. Calculate j.
-11, -2, -1, 0
Factor -a**3 + 404*a**2 - 41205*a + 80802.
-(a - 201)**2*(a - 2)
Solve j**3/2 - 15*j**2/2 + 6*j + 14 = 0 for j.
-1, 2, 14
Solve 2*q**5 + 134*q**4 + 1652*q**3 + 4592*q**2 - 10240*q - 13312 = 0.
-52, -8, -1, 2
Factor -2*a**4/7 - 8*a**3/7 + 96*a**2/7 - 32*a + 160/7.
-2*(a - 2)**3*(a + 10)/7
Determine d, given that -d**4/6 + 38*d**3/3 + 135*d**2/2 = 0.
-5, 0, 81
Solve -w**4/3 + 7*w**3/3 - w**2 - 21*w + 36 = 0.
-3, 3, 4
Factor -2*t**4/17 - 124*t**3/17 - 1922*t**2/17.
-2*t**2*(t + 31)**2/17
Factor -w**3/2 - 39*w**2 + 1069*w/2 - 495.
-(w - 11)*(w - 1)*(w + 90)/2
Factor 4*b**2/3 - 560*b/3 - 3792.
4*(b - 158)*(b + 18)/3
Determine v so that v**4 + 25*v**3 - 209*v**2 + 471*v - 288 = 0.
-32, 1, 3
Factor 2*m**3/9 + 388*m**2 + 225816*m + 43808304.
2*(m + 582)**3/9
Find m such that -2*m**3 - 24*m**2 - 58*m + 84 = 0.
-7, -6, 1
Factor -8*y**2 - 26*y - 18.
-2*(y + 1)*(4*y + 9)
Factor -f**5/9 - 16*f**4/9 - 8*f**3 - 6*f**2 + 33*f + 54.
-(f - 2)*(f + 3)**3*(f + 9)/9
Solve -3*f**2 + 18*f + 48 = 0.
-2, 8
Solve 2*f**4/5 - 12*f**3/5 - 8*f**2 + 48*f/5 + 128/5 = 0 for f.
-2, 2, 8
Factor -y**2/5 + 14*y - 136/5.
-(y - 68)*(y - 2)/5
Let -2*i**4/7 - 10*i**3/7 + 12*i**2 - 152*i/7 + 80/7 = 0. What is i?
-10, 1, 2
Factor -l**5 - 6*l**4 - 6*l**3 + 20*l**2 + 39*l + 18.
-(l - 2)*(l + 1)**2*(l + 3)**2
Solve 9*j**5 + 75*j**4 - 96*j**3 - 1428*j**2 - 288*j + 1728 = 0.
-6, -4/3, 1, 4
Solve 2*y**5/7 - 2*y**4/7 - 10*y**3/7 + 2*y**2/7 + 16*y/7 + 8/7 = 0 for y.
-1, 2
Factor 10*k**2/7 - 24*k/7 + 8/7.
2*(k - 2)*(5*k - 2)/7
Determine o, given that -o**2/7 - 30*o/7 - 225/7 = 0.
-15
Suppose -3*x**2/2 - 9*x/2 + 567 = 0. Calculate x.
-21, 18
Factor -6860*y**5 - 371420*y**4 - 4866155*y**3 + 4354510*y**2 - 1261700*y + 121000.
-5*(2*y + 55)**2*(7*y - 2)**3
Factor 5*c**4 - 40*c**3 + 85*c**2 - 50*c.
5*c*(c - 5)*(c - 2)*(c - 1)
What is i in -i**4 + i**3 + 174*i**2 - 504*i = 0?
-14, 0, 3, 12
Solve -324*m**4 - 2124*m**3 + 992*m**2 - 112*m = 0.
-7, 0, 2/9
Find y such that -4*y**3 - 164*y**2 = 0.
-41, 0
Find y, given that -y**4/3 + 16*y**3/3 - 5*y**2 = 0.
0, 1, 15
Factor -m**2/3 + 53*m/3 + 18.
-(m - 54)*(m + 1)/3
Find t, given that -8*t**4/5 - 210*t**3 - 262*t**2/5 = 0.
-131, -1/4, 0
Solve 2*t**3/5 + 46*t**2/5 + 36*t = 0 for t.
-18, -5, 0
Factor -2*b**4 + 66*b**3 + 212*b**2 + 144*b.
-2*b*(b - 36)*(b + 1)*(b + 2)
What is i in 8*i**4 + 26*i**3 + 6*i**2 - 32*i - 8 = 0?
-2, -1/4, 1
Factor i**2 + 39*i.
i*(i + 39)
Factor 3*v**4/5 - 426*v**3 + 382299*v**2/5 - 1495308*v/5.
3*v*(v - 353)**2*(v - 4)/5
Suppose -4*v**4 + 36*v**3 + 272*v**2 - 576*v - 3328 = 0. Calculate v.
-4, 4, 13
Factor -3*j**3 - 147*j**2 + 636*j.
-3*j*(j - 4)*(j + 53)
Factor -4*r**4 + 80*r**3 - 212*r**2 + 136*r.
-4*r*(r - 17)*(r - 2)*(r - 1)
Suppose 5*y**3 + 2870*y**2 - 11545*y + 8670 = 0. Calculate y.
-578, 1, 3
Factor 12*z**3 + 3801*z**2 - 8607*z + 1914.
3*(z - 2)*(z + 319)*(4*z - 1)
Factor o**2/4 - 25*o + 99/4.
(o - 99)*(o - 1)/4
Determine r so that 5*r**2 + 1400*r + 98000 = 0.
-140
Factor p**3 - 22*p**2 + 65*p + 676.
(p - 13)**2*(p + 4)
Factor 5*q**4 - 275*q**3 - 5*q**2 + 275*q.
5*q*(q - 55)*(q - 1)*(q + 1)
Factor 29*m**2 + 88*m/3 + 1/3.
(m + 1)*(87*m + 1)/3
Factor -2*y**3/11 - 3108*y**2/11 - 1128*y - 12400/11.
-2*(y + 2)**2*(y + 1550)/11
Solve o**5 - 2*o**4 - 2*o**3 + 4*o**2 + o - 2 = 0.
-1, 1, 2
Factor 2*t**4/15 - 4*t**3/15 + 2*t**2/15.
2*t**2*(t - 1)**2/15
Factor 3*f**5 + 12*f**4 - 42*f**3 - 168*f**2 - 177*f - 60.
3*(f - 4)*(f + 1)**3*(f + 5)
Find l such that -l**5/4 - l**4/2 + l**3 + l**2/2 - 3*l/4 = 0.
-3, -1, 0, 1
Suppose -4*h**4/7 - 328*h**3/7 - 2736*h**2/7 - 7992*h/7 - 7884/7 = 0. What is h?
-73, -3
Solve -3*r**5 + 148*r**4 + 1379*r**3 - 3896*r**2 + 1140*r = 0 for r.
-10, 0, 1/3, 2, 57
Determine q so that 2*q**3/5 - 34*q**2/5 - 32*q - 168/5 = 0.
-2, 21
Factor -2*n**2/7 - 52*n - 362/7.
-2*(n + 1)*(n + 