3*n**2 + 3*n + 90.
-3*(n - 6)*(n + 5)
Factor y**2/2 - 69*y + 4761/2.
(y - 69)**2/2
Factor 4*a**2 - 40*a + 36.
4*(a - 9)*(a - 1)
Factor -2*x**2/9 + 14*x/9 - 8/3.
-2*(x - 4)*(x - 3)/9
Factor 2*v**2 + 86*v/3 + 56.
2*(v + 12)*(3*v + 7)/3
Let q**2/2 - 42*q + 675/2 = 0. What is q?
9, 75
Suppose 50*y**4 - 465*y**3 + 135*y**2 = 0. What is y?
0, 3/10, 9
Factor -2*l**2 - 484*l - 482.
-2*(l + 1)*(l + 241)
Let 2*b**2 - 1358*b + 1356 = 0. What is b?
1, 678
Suppose -49*m**5/4 + 1127*m**4/2 + m**3 - 46*m**2 = 0. What is m?
-2/7, 0, 2/7, 46
Determine g so that -2*g**2/7 + 1034*g/7 - 2060/7 = 0.
2, 515
Factor -2*h**2/13 + 760*h/13.
-2*h*(h - 380)/13
What is i in i**3/6 - 5*i**2/6 - 17*i/6 + 7/2 = 0?
-3, 1, 7
Factor 27*u**3 - 285*u**2 - 834*u - 312.
3*(u - 13)*(u + 2)*(9*u + 4)
Let -90*z**4 + 1834*z**3 - 668*z**2 - 240*z = 0. Calculate z.
-2/9, 0, 3/5, 20
Solve 147*i**4 - 3171*i**3 + 4716*i**2 - 1932*i + 240 = 0 for i.
2/7, 1, 20
Factor 4*h**2 + 548*h - 1112.
4*(h - 2)*(h + 139)
Let 2*j**2/11 - 2/11 = 0. Calculate j.
-1, 1
Factor u**4/6 + 5*u**3/6 + u**2/2 - 3*u/2.
u*(u - 1)*(u + 3)**2/6
Factor o**3/4 + 5*o**2/2 + 4*o.
o*(o + 2)*(o + 8)/4
Determine h, given that 2*h**3/9 + 50*h**2/3 + 350*h + 12250/9 = 0.
-35, -5
Solve -z**5/8 + 3*z**4/8 + 5*z**3/8 - 3*z**2/8 - z/2 = 0.
-1, 0, 1, 4
Solve -26*y**3/15 - 58*y**2/15 - 38*y/15 - 2/5 = 0 for y.
-1, -3/13
Factor -y**2/6 - 16*y/3 - 128/3.
-(y + 16)**2/6
Suppose 2*c**3/7 + 702*c**2/7 - 708*c/7 - 1408/7 = 0. What is c?
-352, -1, 2
Let -2*w**5/3 + 14*w**4/9 + 74*w**3/9 + 34*w**2/9 - 20*w/9 = 0. Calculate w.
-2, -1, 0, 1/3, 5
Factor w**4/4 - 33*w**3/4 + 72*w**2 - 197*w + 168.
(w - 21)*(w - 8)*(w - 2)**2/4
Suppose -i**2/7 - 2*i/7 + 8/7 = 0. What is i?
-4, 2
Find u, given that -3*u**4 - 63*u**3 - 162*u**2 + 12*u + 216 = 0.
-18, -2, 1
Let -6*i**5 + 58*i**4 + 26*i**3 - 58*i**2 - 20*i = 0. What is i?
-1, -1/3, 0, 1, 10
Let 15*l**4 - 250*l**3 + 380*l**2 - 70*l - 75 = 0. What is l?
-1/3, 1, 15
Factor -b**4/3 - b**3/3 + 2*b**2 + 4*b/3 - 8/3.
-(b - 2)*(b - 1)*(b + 2)**2/3
Solve -4*g**3/7 - 1900*g**2/7 + 3812*g/7 - 1908/7 = 0.
-477, 1
Factor -2*s**2/11 + 2*s - 36/11.
-2*(s - 9)*(s - 2)/11
Factor d**2 + 149*d + 438.
(d + 3)*(d + 146)
Factor 12*f**4/23 + 2*f**3/23.
2*f**3*(6*f + 1)/23
Factor 3*q**2/2 - 126*q + 246.
3*(q - 82)*(q - 2)/2
Let -o**2/2 + 65*o/2 + 213 = 0. What is o?
-6, 71
Factor -3*d**2/2 + 171*d/2 - 525.
-3*(d - 50)*(d - 7)/2
Factor q**4/2 - 11*q**3/2 - 341*q**2/2 + 711*q/2 - 180.
(q - 24)*(q - 1)**2*(q + 15)/2
Let 3*x**3 + 213*x**2/5 + 237*x/5 + 39/5 = 0. Calculate x.
-13, -1, -1/5
Suppose u**3 - 2*u**2 - 48*u = 0. Calculate u.
-6, 0, 8
Solve -16*j**4/11 - 138*j**3/11 - 30*j**2 - 112*j/11 + 96/11 = 0 for j.
-4, -1, 3/8
Determine d, given that -d**3/5 - 12*d**2/5 - 27*d/5 + 8 = 0.
-8, -5, 1
Factor 4*r**3/3 + 4472*r**2/3 - 8956*r/3 + 4480/3.
4*(r - 1)**2*(r + 1120)/3
Let -2*w**4/3 + 64*w**3/3 - 170*w**2 - 64*w/3 + 512/3 = 0. What is w?
-1, 1, 16
Determine w so that 3*w**2 + 30*w - 33 = 0.
-11, 1
Factor -3*t**2 + 1227*t/2 - 1221/2.
-3*(t - 1)*(2*t - 407)/2
Find r, given that 2*r**2 - 134*r - 136 = 0.
-1, 68
Solve -k**2/3 + 55*k/3 + 236/3 = 0.
-4, 59
Factor i**2 + 408*i + 41616.
(i + 204)**2
Factor n**2/10 - 502*n/5 + 126002/5.
(n - 502)**2/10
Find u, given that 5*u**3 + 175*u**2 + 2040*u + 7920 = 0.
-12, -11
Suppose 2*r**3/3 - 262*r**2/3 - 8*r/3 + 1048/3 = 0. Calculate r.
-2, 2, 131
Let -2*j**2 - 1412*j - 249218 = 0. Calculate j.
-353
Factor 3*y**4 - 246*y**2 + 1152*y - 1485.
3*(y - 5)*(y - 3)**2*(y + 11)
Factor -5*f**2 + 130*f + 135.
-5*(f - 27)*(f + 1)
Factor 6*k**4/5 + 38*k**3 - 784*k**2/15 + 88*k/5.
2*k*(k + 33)*(3*k - 2)**2/15
Factor -3*n**2/2 + 1875*n - 1171875/2.
-3*(n - 625)**2/2
Factor r**2/4 - 11*r/2 - 180.
(r - 40)*(r + 18)/4
Suppose 21*v**2 - 2253*v + 642 = 0. Calculate v.
2/7, 107
Solve -2*u**3/5 - 4*u**2/5 + 2*u/5 + 4/5 = 0 for u.
-2, -1, 1
Factor 2*c**4 - 584*c**3 + 42630*c**2 + 584*c - 42632.
2*(c - 146)**2*(c - 1)*(c + 1)
Let -4*i**5 + 300*i**4 - 2700*i**3 + 6500*i**2 = 0. What is i?
0, 5, 65
Determine a, given that a**3/3 - 7*a**2/3 + 2*a/3 + 40/3 = 0.
-2, 4, 5
Factor 2*a**4/7 + 3224*a**3/7 + 246708*a**2 + 43495144*a - 223701170.
2*(a - 5)*(a + 539)**3/7
Suppose -2*l**3/7 - 26*l**2/7 + 60*l/7 = 0. What is l?
-15, 0, 2
Factor -27*b**3 + 252*b**2 + 177*b + 30.
-3*(b - 10)*(3*b + 1)**2
Suppose 4*g**4 + 5792*g**3 + 2096704*g**2 = 0. What is g?
-724, 0
Suppose c**4/2 + 3*c**3/2 - 19*c**2/2 - 87*c/2 - 45 = 0. Calculate c.
-3, -2, 5
Solve -5*d**2 + 5590*d - 1562405 = 0 for d.
559
Factor -h**3/3 - 73*h**2/3 - 511*h/3 + 195.
-(h - 1)*(h + 9)*(h + 65)/3
Solve -k**2/2 - 30*k - 59/2 = 0.
-59, -1
Factor -2*g**2/3 - 58*g/3.
-2*g*(g + 29)/3
Suppose -2*p**3/3 + 125*p**2/3 + 64*p/3 - 21 = 0. What is p?
-1, 1/2, 63
Solve -8*l**5/3 - 110*l**4/3 - 108*l**3 - 232*l**2/3 + 80*l/3 = 0 for l.
-10, -2, 0, 1/4
Find l, given that -l**4/4 - 11*l**3/4 - 5*l**2/2 = 0.
-10, -1, 0
What is c in -4*c**5 - 36*c**4 + 100*c**3 + 100*c**2 - 336*c + 176 = 0?
-11, -2, 1, 2
Solve -k**3/4 + 9939*k**2/4 - 32927907*k/4 + 36363385297/4 = 0.
3313
Find g, given that -4*g**2 - 408*g - 10404 = 0.
-51
Suppose -4*v**3 + 12*v**2 + 756*v - 4860 = 0. Calculate v.
-15, 9
Factor 2*w**3 - 102*w**2 + 1248*w + 1352.
2*(w - 26)**2*(w + 1)
Factor -3*b**3 - 106*b**2 + 187*b + 74.
-(b - 2)*(b + 37)*(3*b + 1)
Determine k so that k**5/9 + 5*k**4/9 + k**3/3 - k**2 = 0.
-3, 0, 1
Factor -2*m**3/7 - 654*m**2/7 - 71286*m/7 - 2590058/7.
-2*(m + 109)**3/7
Suppose -f**2/3 - 202*f/3 = 0. Calculate f.
-202, 0
Solve -k**5/3 - 4*k**4/3 - k**3 = 0 for k.
-3, -1, 0
Suppose 2*o**3/5 + 7922*o**2/5 + 1569744*o + 1568160 = 0. What is o?
-1980, -1
Suppose -678*n**2/5 - 3*n = 0. What is n?
-5/226, 0
Find m, given that -124*m**2 - 256*m - 16 = 0.
-2, -2/31
Factor 5*y**5 - 75*y**3 + 50*y**2 + 300*y - 360.
5*(y - 2)**3*(y + 3)**2
Factor t**4/8 - 17*t**3/8 - 57*t**2/8 - 59*t/8 - 5/2.
(t - 20)*(t + 1)**3/8
Let -4*g**5 + 8*g**4 + 8*g**3 - 16*g**2 - 4*g + 8 = 0. What is g?
-1, 1, 2
Determine z so that z**4/5 - 308*z**3/5 + 306*z**2/5 + 308*z/5 - 307/5 = 0.
-1, 1, 307
Factor u**3 - 11*u**2 + 19*u - 9.
(u - 9)*(u - 1)**2
Suppose -k**3/6 - 17*k**2/6 - 22*k/3 - 14/3 = 0. Calculate k.
-14, -2, -1
Factor -3*i**3 - 15*i**2 - 9*i + 27.
-3*(i - 1)*(i + 3)**2
Factor -5*v**3 - 145*v**2 + 470*v - 320.
-5*(v - 2)*(v - 1)*(v + 32)
Factor 2*j**2/9 - 350*j/9.
2*j*(j - 175)/9
Factor 4*n**2/5 - 184*n/5 - 1728/5.
4*(n - 54)*(n + 8)/5
Factor -m**4/7 + 5728*m**3/7 - 8196766*m**2/7 - 16410720*m/7 - 8208225/7.
-(m - 2865)**2*(m + 1)**2/7
Find r, given that 3*r**4/5 - 114*r**3/5 + 219*r**2/5 - 108*r/5 = 0.
0, 1, 36
Determine a so that a**4 - 9*a**3 - 36*a**2 = 0.
-3, 0, 12
Factor -g**2/5 - 62*g/5 - 957/5.
-(g + 29)*(g + 33)/5
Factor -4*b**3 + 128*b**2 - 124*b.
-4*b*(b - 31)*(b - 1)
Factor -f**3 + f**2 + 8*f - 12.
-(f - 2)**2*(f + 3)
Factor -18*n**2/7 - 948*n/7 + 318/7.
-6*(n + 53)*(3*n - 1)/7
Factor 2*q**4 - 16*q**3 - 96*q**2.
2*q**2*(q - 12)*(q + 4)
Find a, given that 3*a**5 - 5364*a**4 + 2408415*a**3 - 9574734*a**2 + 11945664*a - 4773984 = 0.
1, 2, 892
Factor n**4 + n**3 - 66*n**2 + 224*n - 160.
(n - 4)**2*(n - 1)*(n + 10)
Solve 4212*p**3 - 30864*p**2 + 9652*p + 56 = 0.
-2/351, 1/3, 7
Factor -5*y**2 + 265*y - 1980.
-5*(y - 44)*(y - 9)
Factor 3*l**4 - 33*l**3 + 96*l**2 - 84*l.
3*l*(l - 7)*(l - 2)**2
Factor 3*f**4/2 - 205*f**3/2 - 393*f**2 - 216*f.
f*(f - 72)*(f + 3)*(3*f + 2)/2
Let 2*c**3 - 18*c**2 + 30*c - 14 = 0. Calculate c.
1, 7
Factor -w**5 - 5*w**4 - 4*w**3.
-w**3*(w + 1)*(w + 4)
Factor -3*q**2 - 1824*q + 3660.
-3*(q - 2)*(q + 610)
Find g, given that -4*g**4 - 384*g**3 - 7096*g**2 + 101760*g - 280900 = 0.
-53, 5
Let -2*n**3/15 + 8*n**2/3 - 78*n/5 + 108/5 = 0. Calculate n.
2, 9
Factor -3*g**4/2 - 9*g**3 - 15*g**2/2.
-3*g**2*(g + 1)*(g + 5)/2
Factor -4*x**3 - 52*x**2 - 92*x - 44.
-4*(x + 1)**2*(x + 11)
Factor -2*x**2 - 491*x/4 - 183/4.
-(x + 61)*(8*x + 3)/4
Factor 3*l**4 + 54*l**3 + 177*l**2 + 126*l.
3*l*(l + 1)*(l + 3)*(l + 14)
Find v, given that v**2 - 2930*v + 2146225 = 0.
1465
Let 8*m**2 - 974*m - 244 = 0. Calculate m.
-1/4, 122
Factor 2*h**2 + 76*h - 246.
2*(h - 3)*(h + 41)
Factor -f**2/3 - 28*f/3.
-f*(f + 28)/3
Factor -v**4 - 11*v**3/2 + v**2/2 + 15*v.
-v*(v + 2)*(v + 5)*(2*v - 3)/2
Factor -t**2 + 254*t