*n**2 + 42*n + 4.
2*(n + 1)*(n + 2)*(9*n + 1)
Let -4*s**3/7 + 8*s**2/7 + 44*s/7 - 48/7 = 0. Calculate s.
-3, 1, 4
Find l, given that 4*l**2 + 380*l - 776 = 0.
-97, 2
Factor -2*o**3/9 + 14*o**2/9 + 8*o/9 - 56/9.
-2*(o - 7)*(o - 2)*(o + 2)/9
Determine h, given that 4*h**3 + 92*h**2 - 104*h - 192 = 0.
-24, -1, 2
Let -2*v**4/17 - 36*v**3/17 + 2*v**2/17 + 36*v/17 = 0. Calculate v.
-18, -1, 0, 1
Suppose 3*i**4/5 - 48*i**3/5 + 189*i**2/5 + 48*i/5 - 192/5 = 0. Calculate i.
-1, 1, 8
Solve -b**4/2 - 5*b**3/2 + b**2/2 + 5*b/2 = 0.
-5, -1, 0, 1
What is a in 2*a**3/7 - 166*a**2/7 - 338*a/7 - 170/7 = 0?
-1, 85
Factor -3*h**3 + 180*h**2 + 369*h + 186.
-3*(h - 62)*(h + 1)**2
Factor -3*b**5 - 3*b**4 + 63*b**3 + 135*b**2.
-3*b**2*(b - 5)*(b + 3)**2
Solve -4*k**2/3 - 10936*k - 22424268 = 0 for k.
-4101
Find b such that -3*b**2 + 3216*b - 861888 = 0.
536
Suppose -18*y**4/7 + 129*y**3/7 + 297*y**2/7 - 1944*y/7 - 3564/7 = 0. What is y?
-3, -11/6, 6
Factor -9*y**3/4 - 21*y**2/4 - 3*y/2.
-3*y*(y + 2)*(3*y + 1)/4
Factor -3*n**3 - 27*n**2 + 63*n - 33.
-3*(n - 1)**2*(n + 11)
Factor -5*i**2 + 6090*i - 1854405.
-5*(i - 609)**2
Let -2*z**2/5 - 6*z - 52/5 = 0. What is z?
-13, -2
Suppose 10*k**3 - 35*k**2 - 385*k - 340 = 0. What is k?
-4, -1, 17/2
Factor 2*j**2/11 + 68*j/11 - 70/11.
2*(j - 1)*(j + 35)/11
Determine c, given that -15*c**4 + 453*c**3/2 - 12*c**2 - 309*c/2 - 45 = 0.
-1/2, -2/5, 1, 15
Solve -4*p**5 + 8*p**4 - 8*p**2 + 4*p = 0.
-1, 0, 1
Find n, given that -3*n**5 + 15*n**4 - 27*n**3 + 21*n**2 - 6*n = 0.
0, 1, 2
Factor -w**3/4 - 9*w**2 - 81*w.
-w*(w + 18)**2/4
Solve -35*u**3 - 235*u**2 - 140*u + 60 = 0.
-6, -1, 2/7
Find p such that 35*p**3 - 3210*p**2 + 2265*p + 910 = 0.
-2/7, 1, 91
Solve -900*r**4 + 2300*r**3 - 1876*r**2 + 452*r + 24 = 0 for r.
-2/45, 3/5, 1
Find y, given that 10*y**4 - 65*y**3 - 130*y**2 + 65*y + 120 = 0.
-3/2, -1, 1, 8
Factor -3*o**2/8 - 363*o/8 - 45.
-3*(o + 1)*(o + 120)/8
Factor -4*a**2/5 - 18584*a/5 - 21585316/5.
-4*(a + 2323)**2/5
Factor -3*u**2/4 - 4347*u/2 - 6298803/4.
-3*(u + 1449)**2/4
What is p in 3*p**2 - 117*p - 246 = 0?
-2, 41
Factor 5*a**3/2 - 235*a**2/2 + 875*a/2 - 645/2.
5*(a - 43)*(a - 3)*(a - 1)/2
Factor 4*u**4/5 - 32*u**3/5 + 72*u**2/5 - 64*u/5 + 4.
4*(u - 5)*(u - 1)**3/5
Factor -b**2 + 78*b + 79.
-(b - 79)*(b + 1)
Find a such that a**2 + 3*a = 0.
-3, 0
Solve h**3/3 - 2*h**2 + 3*h - 4/3 = 0.
1, 4
Determine g so that 2*g**2 + 586*g + 1164 = 0.
-291, -2
Factor -y**2/3 - 2126*y/3 - 2125/3.
-(y + 1)*(y + 2125)/3
Determine u, given that 7*u**5/4 - u**4/4 - 41*u**3/4 - 51*u**2/4 - 9*u/2 = 0.
-1, -6/7, 0, 3
Factor -12100*q**3 - 54340*q**2 + 30016*q - 3920.
-4*(q + 5)*(55*q - 14)**2
Find c such that 3*c**4/2 - 8*c**3/3 - 121*c**2/6 - 58*c/3 - 10/3 = 0.
-2, -1, -2/9, 5
Determine w so that -2*w**3 - 102*w**2 - 900*w - 800 = 0.
-40, -10, -1
Let -4*b**2 - 48*b + 1012 = 0. Calculate b.
-23, 11
Determine b so that -5*b**4 - 1830*b**3 - 171065*b**2 - 662460*b - 655220 = 0.
-181, -2
Suppose 2*p**5 + 92*p**4 + 1138*p**3 + 1672*p**2 - 2904*p = 0. What is p?
-22, -3, 0, 1
Find u such that 4*u**5/3 + 56*u**4/3 - 192*u**3 - 8168*u**2/3 + 572*u/3 + 2704 = 0.
-13, -1, 1, 12
Determine q, given that -2*q**2 + 450*q - 892 = 0.
2, 223
Factor 4*j**3 - 12*j**2 - 40*j.
4*j*(j - 5)*(j + 2)
Suppose 2*u**4/11 + 70*u**3/11 + 234*u**2/11 - 454*u/11 - 620/11 = 0. Calculate u.
-31, -5, -1, 2
Determine t so that -123*t**2 + 2589*t - 126 = 0.
2/41, 21
Let 4*z**4 - 156*z**3 + 152*z**2 = 0. What is z?
0, 1, 38
Find k, given that 5*k**3 - 30*k**2 - 495*k + 520 = 0.
-8, 1, 13
Determine g, given that g**3 - 103*g**2 + 2491*g + 8427 = 0.
-3, 53
Suppose -o**4/5 - 13*o**3/5 - 57*o**2/5 - 19*o - 10 = 0. What is o?
-5, -2, -1
Solve 2*l**2 + 18*l + 36 = 0.
-6, -3
Determine n so that -3*n**2 - 5160*n - 2218800 = 0.
-860
Determine j so that -2*j**4/5 + 12*j**3/5 + 42*j**2/5 - 68*j/5 - 96/5 = 0.
-3, -1, 2, 8
Factor -3*c**2 + 13044*c - 14178828.
-3*(c - 2174)**2
Factor -c**2/4 - 11*c + 48.
-(c - 4)*(c + 48)/4
Find x, given that -2*x**2/5 - 4716*x/5 - 2780082/5 = 0.
-1179
Find g such that -2*g**4/13 - 2*g**3/13 + 4*g**2/13 = 0.
-2, 0, 1
Factor o**5 + 13*o**4 + 33*o**3 - 77*o**2 - 98*o.
o*(o - 2)*(o + 1)*(o + 7)**2
Factor 3*x**2 - 423*x + 420.
3*(x - 140)*(x - 1)
Factor -2*b**2/7 - 712*b/7 - 63368/7.
-2*(b + 178)**2/7
Suppose -5*n**4 + 150*n**3 - 1625*n**2 + 7500*n - 12500 = 0. Calculate n.
5, 10
Factor -3*w**2 + 15270*w - 19431075.
-3*(w - 2545)**2
Factor -2*x**2/9 + 202*x/9 - 320/3.
-2*(x - 96)*(x - 5)/9
Suppose 162*u**5/5 + 252*u**4/5 - 298*u**3/5 - 236*u**2/5 + 136*u/5 - 16/5 = 0. Calculate u.
-2, -1, 2/9, 1
Factor 2*m**5 + 2*m**4.
2*m**4*(m + 1)
Factor -5*w**2 - 15*w + 20.
-5*(w - 1)*(w + 4)
Find x, given that -5*x**4 - 4*x**3/3 + 3*x**2 - 2*x/3 = 0.
-1, 0, 1/3, 2/5
Factor 12*t**4 - 52*t**3 + 16*t**2.
4*t**2*(t - 4)*(3*t - 1)
Factor n**5 - 35*n**4 + 284*n**3 + 320*n**2.
n**2*(n - 20)*(n - 16)*(n + 1)
Suppose -4*o**5 - 17*o**4 + 200*o**3 - 293*o**2 + 74*o + 40 = 0. Calculate o.
-10, -1/4, 1, 4
Determine d, given that 5*d**2/4 + 635*d/2 + 1250 = 0.
-250, -4
Factor 2*a**3/5 + 12*a**2 + 58*a/5.
2*a*(a + 1)*(a + 29)/5
Solve 50*l**4/23 + 10*l**3 + 274*l**2/23 - 38*l/23 - 132/23 = 0.
-11/5, -2, -1, 3/5
Solve 2*y**2/3 - 6*y - 44/3 = 0.
-2, 11
Factor -3*o**2/2 + 207*o/2 - 102.
-3*(o - 68)*(o - 1)/2
Factor r**2/2 - 243*r/2 + 121.
(r - 242)*(r - 1)/2
Determine c so that -4*c**2/3 - 1664*c/3 - 173056/3 = 0.
-208
Find a, given that -3*a**3/7 - 45*a**2/7 - 144*a/7 + 192/7 = 0.
-8, 1
What is o in -2*o**5/5 - 19*o**4/5 + 13*o**3 + 11*o**2 - 63*o/5 - 36/5 = 0?
-12, -1, -1/2, 1, 3
Factor 4050*i**5 - 60840*i**4 + 610201*i**3/2 - 1026015*i**2/2 + 22575*i/2 - 125/2.
(i - 5)**3*(90*i - 1)**2/2
Find r, given that 3*r**4 + 159*r**3 - 168*r**2 - 324*r = 0.
-54, -1, 0, 2
Factor -3*c**2 + 204*c + 207.
-3*(c - 69)*(c + 1)
Factor v**2 + 3*v - 88.
(v - 8)*(v + 11)
Let 5*w**3 - 1705*w**2 + 146200*w - 144500 = 0. What is w?
1, 170
Suppose 2*g**2/7 + 100*g/7 + 1250/7 = 0. What is g?
-25
Factor c**2/8 - 57*c/4 - 29.
(c - 116)*(c + 2)/8
Factor -w**2 + 42*w + 43.
-(w - 43)*(w + 1)
Factor -7*t**2/5 + 3*t/5.
-t*(7*t - 3)/5
Factor -u**2 - 250*u - 249.
-(u + 1)*(u + 249)
Let 2*f**5 - 56*f**4 + 444*f**3 - 728*f**2 + 338*f = 0. What is f?
0, 1, 13
Let s**3 - 4*s**2 + 5*s - 2 = 0. Calculate s.
1, 2
Find z, given that 9*z**4/2 + 81*z**3/2 + 114*z**2 + 392*z/3 + 160/3 = 0.
-5, -4/3
Solve 129*x**3/4 - 7863*x**2/4 - 183*x/2 = 0 for x.
-2/43, 0, 61
Factor -5*z**3/2 + 1285*z**2 - 330245*z/2.
-5*z*(z - 257)**2/2
Factor 4*y**4 - 448*y**3 + 11616*y**2 + 51968*y + 53824.
4*(y - 58)**2*(y + 2)**2
Factor -5*h**2 + 260*h - 735.
-5*(h - 49)*(h - 3)
Suppose 2*h**4/5 - 6*h**3/5 + 6*h**2/5 - 2*h/5 = 0. Calculate h.
0, 1
Determine m so that -m**2 - 22*m - 121 = 0.
-11
Suppose -2*j**5 + 2*j**4 + 58*j**3 - 58*j**2 - 200*j + 200 = 0. What is j?
-5, -2, 1, 2, 5
Find d, given that 4*d**2 + 312*d + 308 = 0.
-77, -1
Let h**5/3 + 17*h**4/3 - 46*h**3/3 - 152*h**2/3 = 0. What is h?
-19, -2, 0, 4
Let -4*f**4 + 256*f**3 - 1392*f**2 = 0. What is f?
0, 6, 58
Factor 10*x**5 - 66*x**4 - 28*x**3.
2*x**3*(x - 7)*(5*x + 2)
Factor 4*m**3 - 4*m**2 - 64*m - 80.
4*(m - 5)*(m + 2)**2
Determine f, given that 2*f**4/5 - 44*f**3/5 + 238*f**2/5 - 436*f/5 + 48 = 0.
1, 2, 4, 15
Determine o, given that -2*o**5 + 1346*o**4 - 231132*o**3 + 1572444*o**2 - 3338658*o + 1996002 = 0.
1, 3, 333
Factor 4*c**5/3 + 28*c**4/3 + 24*c**3 + 88*c**2/3 + 52*c/3 + 4.
4*(c + 1)**4*(c + 3)/3
Suppose 9*g**4 + 129*g**3 + 357*g**2 + 303*g + 66 = 0. What is g?
-11, -2, -1, -1/3
What is u in -6498*u**3 + 988*u**2 + 155*u/2 - 25/2 = 0?
-1/9, 5/38
Factor 80*c**4 + 200*c**3 - 915*c**2 + 415*c - 50.
5*(c - 2)*(c + 5)*(4*c - 1)**2
Find y, given that -y**2 - 795*y/2 - 397/2 = 0.
-397, -1/2
Let -4*f**4 + 40*f**3 - 92*f**2 + 56*f = 0. What is f?
0, 1, 2, 7
Factor 4*q**4 - 4*q**3 - 120*q**2.
4*q**2*(q - 6)*(q + 5)
Find q, given that q**2/6 + 128*q/3 + 8192/3 = 0.
-128
Determine v, given that 2*v**4/3 - 34*v**3/3 + 160*v**2/3 - 128*v/3 = 0.
0, 1, 8
Factor h**4/3 - 5*h**3 + 12*h**2 + 4*h/3 - 16.
(h - 12)*(h - 2)**2*(h + 1)/3
Factor -2*m**2/5 + 278*m/5 - 216.
-2*(m - 135)*(m - 4)/5
Factor 2*z**2 + 18*z + 28.
2*(z + 2)*(z + 7)
Determine u, given that -2*u**2/13 - 10*u/13 + 48/13 = 0.
-8, 3
Suppose -4