(i + 1)*(i + 2)*(i + 7)/5
Suppose -k**2/4 - 8*k - 87/4 = 0. Calculate k.
-29, -3
Let 2*n**3 - 112*n**2 + 1310*n - 1200 = 0. Calculate n.
1, 15, 40
Factor 2*y**4/3 - 100*y**3/3 + 94*y**2/3 + 196*y/3.
2*y*(y - 49)*(y - 2)*(y + 1)/3
Factor l**3 - 5*l**2 - 13*l - 7.
(l - 7)*(l + 1)**2
Factor 3*n**2/2 - 301*n/2 - 101.
(n - 101)*(3*n + 2)/2
Factor -3*p**5 + 75*p**4 + 159*p**3 + 81*p**2.
-3*p**2*(p - 27)*(p + 1)**2
Find p, given that -4*p**5 + p**4 + 24*p**3 - 38*p**2 + 20*p - 3 = 0.
-3, 1/4, 1
Factor -l**5 + l**4 + 3*l**3 - l**2 - 2*l.
-l*(l - 2)*(l - 1)*(l + 1)**2
Factor 2*y**2/23 + 4*y + 176/23.
2*(y + 2)*(y + 44)/23
Factor -2*d**3/19 - 84*d**2/19 - 312*d/19 - 16.
-2*(d + 2)**2*(d + 38)/19
Factor 5*p**5 + 15*p**4 + 5*p**3 - 15*p**2 - 10*p.
5*p*(p - 1)*(p + 1)**2*(p + 2)
Factor 3*w**5 + 183*w**4 - 186*w**3.
3*w**3*(w - 1)*(w + 62)
Determine v so that -2*v**2 + 39*v = 0.
0, 39/2
Factor 3*s**3/2 - 6*s.
3*s*(s - 2)*(s + 2)/2
Suppose 7*q**4/2 + 162*q**3 + 85*q**2/2 - 162*q - 46 = 0. What is q?
-46, -1, -2/7, 1
Determine u, given that 21*u**5 - 624*u**4 + 2088*u**3 - 1536*u**2 - 624*u = 0.
-2/7, 0, 2, 26
Solve 2*k**3 - 5030*k**2 + 3165126*k - 3160098 = 0.
1, 1257
Let 4*l**4/7 + 3580*l**3/7 + 802804*l**2/7 + 792084*l/7 - 1598472/7 = 0. What is l?
-447, -2, 1
Let 2*z**2/5 + 24*z + 360 = 0. Calculate z.
-30
Determine t, given that 4*t**5 + 316*t**4 + 604*t**3 - 924*t**2 = 0.
-77, -3, 0, 1
Factor -a**3 + 37*a**2 + 118*a + 80.
-(a - 40)*(a + 1)*(a + 2)
Factor -6*h**3/5 + 38*h**2/5 - 12*h/5.
-2*h*(h - 6)*(3*h - 1)/5
Factor 3*g**3 + 2367*g**2.
3*g**2*(g + 789)
Determine f so that 4*f**5 + 168*f**4 + 2068*f**3 + 6384*f**2 + 5776*f = 0.
-19, -2, 0
Let -2*q**5 + 4*q**3 - 2*q = 0. What is q?
-1, 0, 1
Factor 4*m**4 - 227*m**3 + 3075*m**2 + 4147*m + 841.
(m - 29)**2*(m + 1)*(4*m + 1)
What is y in -3*y**3 - 18*y**2 - 24*y = 0?
-4, -2, 0
Determine z, given that -z**3/3 - 20*z**2/3 + 128*z/3 + 1024 = 0.
-16, 12
Factor 6*k**4 - 64*k**3 + 208*k**2 - 256*k + 96.
2*(k - 6)*(k - 2)**2*(3*k - 2)
Suppose i**5/5 - 3*i**4/5 - 38*i**3/5 + 192*i**2/5 - 224*i/5 = 0. What is i?
-7, 0, 2, 4
Find w such that 2*w**4 + 26*w**3 + 24*w**2 = 0.
-12, -1, 0
Determine p, given that 3*p**2 - 90*p - 525 = 0.
-5, 35
Find s such that -s**2 - 59*s - 408 = 0.
-51, -8
Solve k**4 + 3*k**3 - 18*k**2 = 0 for k.
-6, 0, 3
Suppose 5*n**3 - 5*n**2 = 0. What is n?
0, 1
Suppose 4*g**3 + 12*g**2 - 4*g - 12 = 0. What is g?
-3, -1, 1
Factor -r**3 - 7*r**2 - 10*r.
-r*(r + 2)*(r + 5)
Factor -d**3 - 229*d**2 + 230*d.
-d*(d - 1)*(d + 230)
Factor 45*v**3 + 915*v**2 - 625*v + 105.
5*(v + 21)*(3*v - 1)**2
Factor 2*c**4 + 14*c**3 - 6*c**2 - 38*c + 28.
2*(c - 1)**2*(c + 2)*(c + 7)
Factor -o**2 + 66*o - 1089.
-(o - 33)**2
Solve -9*u**4/4 + 6*u**3 + 699*u**2/4 + 753*u/2 - 330 = 0 for u.
-5, -4, 2/3, 11
Let 2*s**2/11 - 13500*s/11 + 22781250/11 = 0. What is s?
3375
Factor 6*k**2/5 - 666*k/5 + 1944/5.
6*(k - 108)*(k - 3)/5
Factor -l**2/10 - 11*l/2 - 147/5.
-(l + 6)*(l + 49)/10
Factor -2*y**4/13 + 58*y**3/13 + 396*y**2/13 + 824*y/13 + 560/13.
-2*(y - 35)*(y + 2)**3/13
Factor 2*q**2 - 3*q - 860.
(q + 20)*(2*q - 43)
Factor s**3 - 20*s**2 + 48*s + 576.
(s - 12)**2*(s + 4)
Let -p**3/8 - 11*p**2/2 - 43*p/8 = 0. Calculate p.
-43, -1, 0
Solve 4*h**4 - 136*h**3/3 + 532*h**2/3 - 824*h/3 + 416/3 = 0.
1, 2, 4, 13/3
Find f such that 4*f**2/7 + 128*f/7 + 124/7 = 0.
-31, -1
Find i, given that -2*i**2/15 + 322*i/15 - 2156/15 = 0.
7, 154
Factor 2*y**3/17 - 50*y**2/17 + 336*y/17 - 288/17.
2*(y - 12)**2*(y - 1)/17
Suppose -18*c**4 + 87*c**3 - 129*c**2 + 48*c + 12 = 0. What is c?
-1/6, 1, 2
Factor -4*c**4/9 + 272*c**3/9 - 4624*c**2/9.
-4*c**2*(c - 34)**2/9
Solve 2*w**3 - 136*w**2/5 - 206*w/5 - 12 = 0.
-1, -2/5, 15
Factor 2*r**2/7 - 12*r/7 + 18/7.
2*(r - 3)**2/7
Factor -5*p**4 + 10*p**3 + 35*p**2 + 20*p.
-5*p*(p - 4)*(p + 1)**2
Factor -2*j**3/9 + 2*j**2/9 + 14*j/3 - 10.
-2*(j - 3)**2*(j + 5)/9
Suppose -p**3 + 7*p**2 + 49*p - 343 = 0. What is p?
-7, 7
Factor -s**2 - 2*s + 24.
-(s - 4)*(s + 6)
Factor -u**4 - 3*u**3 - 2*u**2.
-u**2*(u + 1)*(u + 2)
Solve o**2/2 + 53*o/2 + 75 = 0 for o.
-50, -3
Factor -3*t**2/5 - 63*t - 618/5.
-3*(t + 2)*(t + 103)/5
Find j, given that 15*j**3 + 1299*j**2 + 768*j - 516 = 0.
-86, -1, 2/5
Factor -v**2/3 - 68*v/3 - 67/3.
-(v + 1)*(v + 67)/3
What is d in -4*d**3 + 204*d**2 - 1472*d - 1680 = 0?
-1, 10, 42
Find l such that 5*l**5 - 90*l**4 + 160*l**3 + 10*l**2 - 165*l + 80 = 0.
-1, 1, 16
Suppose 2*r**2/3 - 8196*r + 25190406 = 0. Calculate r.
6147
Factor -2*i**3/5 + 10*i**2 - 384*i/5 + 936/5.
-2*(i - 13)*(i - 6)**2/5
Let -486*l**5/7 - 4806*l**4/7 - 16314*l**3/7 - 22466*l**2/7 - 12784*l/7 - 2312/7 = 0. What is l?
-34/9, -1, -1/3
Find o such that 8*o**3/15 - 794*o**2/15 - 3098*o/15 + 824/15 = 0.
-4, 1/4, 103
Factor 3*l**2 + 1249*l - 834.
(l + 417)*(3*l - 2)
Factor y**4/5 - 76*y**3/5.
y**3*(y - 76)/5
Factor -3*w**3 + 6*w**2 + 15*w - 18.
-3*(w - 3)*(w - 1)*(w + 2)
Factor 5*h**5 + 45*h**4 + 150*h**3 + 220*h**2 + 120*h.
5*h*(h + 2)**3*(h + 3)
Factor -2*g**3/21 - 226*g**2/21 + 10754*g/21 - 109022/21.
-2*(g - 19)**2*(g + 151)/21
Factor -4*w**2/11 - 70*w/11 + 36/11.
-2*(w + 18)*(2*w - 1)/11
Factor -f**3/2 + 1197*f**2 - 955206*f + 254084796.
-(f - 798)**3/2
Let -16*y**4/9 - 196*y**3/9 - 224*y**2/9 - 44*y/9 = 0. Calculate y.
-11, -1, -1/4, 0
Factor 2*i**2/7 + 552*i/7 - 554/7.
2*(i - 1)*(i + 277)/7
Find o such that -3*o**3 + 324*o**2 - 315*o - 642 = 0.
-1, 2, 107
Factor 2*l**4 + 16*l**3 + 30*l**2 - 16*l - 32.
2*(l - 1)*(l + 1)*(l + 4)**2
Factor 4*y**3/3 - 116*y**2/3 - 1460*y/3 - 1300.
4*(y - 39)*(y + 5)**2/3
Solve 3*c**2 + 96*c + 768 = 0 for c.
-16
Factor 2*v**4/15 + 6*v**3/5 - 14*v**2/5 + 22*v/15.
2*v*(v - 1)**2*(v + 11)/15
What is j in -3*j**4/4 + 3*j**3/4 + 117*j**2/4 - 327*j/4 + 105/2 = 0?
-7, 1, 2, 5
Factor 34*s**2 - 128*s - 32.
2*(s - 4)*(17*s + 4)
Find b such that 25*b**4 + 20*b**3 - 25*b**2 - 20*b = 0.
-1, -4/5, 0, 1
Factor -2*d**4 - 10*d**3 - 6*d**2 + 10*d + 8.
-2*(d - 1)*(d + 1)**2*(d + 4)
Factor 2*w**4 + 6*w**3 - 162*w**2 + 594*w - 648.
2*(w - 3)**3*(w + 12)
Factor 3*k**5 + 6*k**4 - 12*k**3 - 6*k**2 + 9*k.
3*k*(k - 1)**2*(k + 1)*(k + 3)
Factor 2*q**4 + 18*q**3 - 20*q**2.
2*q**2*(q - 1)*(q + 10)
Factor 8*h**4 - 110*h**3 - 284*h**2 - 64*h.
2*h*(h - 16)*(h + 2)*(4*h + 1)
Suppose 2*s**5/15 + 58*s**4/15 + 98*s**3/15 - 94*s**2/5 - 108*s/5 = 0. What is s?
-27, -3, -1, 0, 2
Let 2*l**2 - 2*l - 24 = 0. What is l?
-3, 4
Factor f**4 + 64*f**3 + 965*f**2 + 902*f.
f*(f + 1)*(f + 22)*(f + 41)
Suppose 4*j**4 + 80*j**3 + 144*j**2 = 0. Calculate j.
-18, -2, 0
Solve -14*q**4/3 + 160*q**3/3 - 52*q**2/3 - 160*q/3 + 22 = 0.
-1, 3/7, 1, 11
Solve -2*c**5/5 - 22*c**4/5 + 30*c**3 + 414*c**2/5 - 108*c = 0 for c.
-15, -3, 0, 1, 6
Determine q, given that 2*q**3/11 + 108*q**2/11 - 122*q/11 - 60 = 0.
-55, -2, 3
Let n**3/2 - 118*n**2 - 475*n/2 - 119 = 0. Calculate n.
-1, 238
Suppose -3*p**2 + 255*p - 498 = 0. Calculate p.
2, 83
Factor -b**2 - 43*b + 870.
-(b - 15)*(b + 58)
Factor -2*z**3/9 - 2*z**2 - 16*z/3 - 40/9.
-2*(z + 2)**2*(z + 5)/9
Solve 8405*j**2 + 820*j + 20 = 0.
-2/41
Factor 5*d**5 - 15*d**4 - 80*d**3 + 440*d**2 - 720*d + 400.
5*(d - 2)**4*(d + 5)
Let 2*r**2/9 - 88*r/9 + 968/9 = 0. What is r?
22
Factor -4*v**3/7 + 204*v**2/7 - 3468*v/7 + 19652/7.
-4*(v - 17)**3/7
Determine s, given that 4*s**3 + 192*s**2 + 1872*s - 10816 = 0.
-26, 4
Factor -2*l**2 - 276*l - 9522.
-2*(l + 69)**2
Suppose -u**2 - 41*u = 0. What is u?
-41, 0
Factor -j**3 - 46*j**2 + 495*j.
-j*(j - 9)*(j + 55)
Factor 2*n**4/3 + 4*n**3/3 - 40*n**2/3 + 16*n.
2*n*(n - 2)**2*(n + 6)/3
Find h such that 3*h**2 - 81*h - 174 = 0.
-2, 29
Factor 5*x**3 + 145*x**2 + 1120*x + 980.
5*(x + 1)*(x + 14)**2
Solve 2*a**2/3 + 1108*a/3 + 153458/3 = 0.
-277
Factor 2*m**5/5 - 2*m**4/5 - 2*m**3/5 + 2*m**2/5.
2*m**2*(m - 1)**2*(m + 1)/5
Factor -4*k**4/3 + 17*k**3/6 - 5*k**2/3 + k/6.
-k*(k - 1)**2*(8*k - 1)/6
Let 3*o**3 - 21*o**2 + 48*o - 36 = 0. Calculate o.
2, 3
Factor -3*z**2 - 33*z + 36.
-3*(z - 1)*(z + 12)
What is n in 4*n**5 - 68*n**4 - 948*n**3 - 3404*n**2 - 4256*n - 1728 = 0?
-4, -1, 27
Let -24*o**2 - 153*o - 54 = 0. What is o?
-6, -3/8
Find f such that 2*f**4/7 - 690*f**2/7 + 680*f/7 + 1368/7 = 0.
-19, -1, 2, 18
Factor -j**2/2 + 637*j - 405769/2.
-(j - 637)**2/2
Solve -15*a**3 - 95*a**2 - 20*a +