i - 3570 = 0.
-34, 21
Suppose -15*h**3/2 + 531*h**2/2 - 1230*h + 450 = 0. Calculate h.
2/5, 5, 30
Factor -2*n**4/3 + 28*n**3/3 - 98*n**2/3.
-2*n**2*(n - 7)**2/3
Factor -4*d**3/3 - 223*d**2/3 - 776*d/3 + 208/3.
-(d + 4)*(d + 52)*(4*d - 1)/3
Factor -o**2/6 - 779*o/6 + 130.
-(o - 1)*(o + 780)/6
Determine i so that i**2/4 - 25*i + 99/4 = 0.
1, 99
Factor 3*q**3/4 + 105*q**2/4 + 51*q/2.
3*q*(q + 1)*(q + 34)/4
Let 4*n**4 - 20*n**3 + 32*n**2 - 16*n = 0. What is n?
0, 1, 2
Factor 3*a**2 + 42*a + 39.
3*(a + 1)*(a + 13)
Factor -507*q**3 + 1599*q**2 - 237*q + 9.
-3*(q - 3)*(13*q - 1)**2
Find k, given that 2*k**4/9 + 250*k**3/9 + 1148*k**2 + 15288*k - 16464 = 0.
-42, 1
Factor g**3 - 8*g**2 + 9*g + 18.
(g - 6)*(g - 3)*(g + 1)
Let 245*r**5 - 595*r**4 - 645*r**3 + 535*r**2 + 400*r + 60 = 0. Calculate r.
-1, -2/7, 1, 3
Suppose -2*i**3 + 128*i**2 - 126*i = 0. Calculate i.
0, 1, 63
Factor 2*u**4 - 24*u**3 + 102*u**2 - 176*u + 96.
2*(u - 4)**2*(u - 3)*(u - 1)
Factor z**2/7 - 23*z/7 - 20.
(z - 28)*(z + 5)/7
What is c in -3*c**3 - 85*c**2 - 616*c - 196 = 0?
-14, -1/3
Factor 2*n**3/11 + 12*n**2/11 + 2*n + 12/11.
2*(n + 1)*(n + 2)*(n + 3)/11
Determine x so that -4*x**5/5 - 48*x**4/5 - 117*x**3/5 + 351*x**2/5 + 1296*x/5 + 972/5 = 0.
-6, -3/2, 3
Find y, given that y**4/3 - y**3/3 - y**2 + y/3 + 2/3 = 0.
-1, 1, 2
Factor 2*d**2/19 - 3548*d/19 + 3546/19.
2*(d - 1773)*(d - 1)/19
Suppose -3*w**3/4 + 561*w**2/4 + 3447*w/4 + 5211/4 = 0. What is w?
-3, 193
Factor -3*m**4 + 120*m**3 - 1638*m**2 + 8112*m - 6591.
-3*(m - 13)**3*(m - 1)
Factor 4*o**2/7 + 432*o/7 - 436/7.
4*(o - 1)*(o + 109)/7
Let -2*w**4/7 + 12*w**3/7 + 2*w**2/7 - 12*w/7 = 0. What is w?
-1, 0, 1, 6
Factor -4*n**4 - 4*n**3 + 12*n**2 + 4*n - 8.
-4*(n - 1)**2*(n + 1)*(n + 2)
Let 2*o**4/3 - 26*o**3/3 + 22*o**2/3 + 26*o/3 - 8 = 0. What is o?
-1, 1, 12
Let 4*a**3 - 6952*a**2 + 3020644*a = 0. Calculate a.
0, 869
Suppose -2*a**2/3 - 356*a/3 - 2014 = 0. Calculate a.
-159, -19
Find l, given that -4*l**4 + 4*l**3 + 56*l**2 - 96*l = 0.
-4, 0, 2, 3
Factor 36*c**4 + 156*c**3 + 157*c**2 + 40*c + 3.
(c + 1)*(c + 3)*(6*c + 1)**2
Factor 4*z**2 - 32*z.
4*z*(z - 8)
Factor b**2/5 + 316*b/5 - 636/5.
(b - 2)*(b + 318)/5
Factor d**3/4 + 13*d**2/4 + 35*d/4 - 49/4.
(d - 1)*(d + 7)**2/4
Solve -2*u**3/7 - 40*u**2/7 - 74*u/7 - 36/7 = 0 for u.
-18, -1
Determine b so that -b**2/5 - 19*b/5 + 24 = 0.
-24, 5
Factor 5*l**5 + 100*l**4 - 280*l**3 - 1390*l**2 - 1565*l - 550.
5*(l - 5)*(l + 1)**3*(l + 22)
Let 2*z**4/11 - 26*z**3/11 + 94*z**2/11 - 70*z/11 = 0. Calculate z.
0, 1, 5, 7
What is v in 3*v**4 - 174*v**3 - 180*v**2 + 174*v + 177 = 0?
-1, 1, 59
Factor 2*y**5/7 + 394*y**4/7 + 19988*y**3/7 + 57620*y**2/7 + 56842*y/7 + 18818/7.
2*(y + 1)**3*(y + 97)**2/7
Determine x so that -x**4/3 + 35*x**3/3 - 88*x**2 = 0.
0, 11, 24
Factor -2*w**3/3 - 616*w**2/3 - 1834*w/3 - 1220/3.
-2*(w + 1)*(w + 2)*(w + 305)/3
Solve -y**4/2 - 3*y**3 - 11*y**2/2 - 3*y = 0.
-3, -2, -1, 0
Solve -2*s**2/5 + 816*s/5 - 486 = 0 for s.
3, 405
Determine x, given that -3*x**5 + 12*x**3 + 6*x**2 - 9*x - 6 = 0.
-1, 1, 2
Suppose -5*x**2 - 2230*x - 248645 = 0. What is x?
-223
Suppose 4*a**2/7 + 80*a/7 - 276/7 = 0. What is a?
-23, 3
Factor -r**2/2 - 13*r - 169/2.
-(r + 13)**2/2
Factor -b**4/2 - 13*b**3/6 - 8*b**2/3 - 2*b/3.
-b*(b + 2)**2*(3*b + 1)/6
Find a, given that 2*a**2/9 + 28*a/3 - 30 = 0.
-45, 3
Factor -3*h**3 - 282*h**2 - 6627*h.
-3*h*(h + 47)**2
Let v**4 + 2*v**3 - 20*v**2 + 24*v = 0. Calculate v.
-6, 0, 2
Factor 2*l**3/3 - 4*l**2/3 - 10*l/3 + 4.
2*(l - 3)*(l - 1)*(l + 2)/3
Find r, given that 21*r**4/8 - 423*r**3/4 + 10593*r**2/8 - 9843*r/2 + 2601/2 = 0.
2/7, 6, 17
Suppose -5*k**3 - 15*k**2 + 230*k + 240 = 0. Calculate k.
-8, -1, 6
Let -5*s**4 - 140*s**3 - 1225*s**2 - 3430*s = 0. Calculate s.
-14, -7, 0
What is j in -4*j**2/3 + 312*j + 940/3 = 0?
-1, 235
Solve -2*j**5/5 + 6*j**4/5 + 14*j**3/5 - 22*j**2/5 - 12*j/5 + 16/5 = 0 for j.
-2, -1, 1, 4
Solve 2*o**2/13 - 38*o/13 + 68/13 = 0 for o.
2, 17
Factor n**3/11 + 6*n**2/11 + 9*n/11 + 4/11.
(n + 1)**2*(n + 4)/11
Suppose 5*z**3 - 930*z**2 + 43245*z = 0. What is z?
0, 93
Find m such that -4*m**5 - 156*m**4 + 324*m**3 - 164*m**2 = 0.
-41, 0, 1
Let 7*m**2 + 51*m + 14 = 0. Calculate m.
-7, -2/7
Solve 8*m**5 + 76*m**4 + 244*m**3 + 296*m**2 + 96*m = 0.
-4, -3, -2, -1/2, 0
Factor 3*l**4 + 9*l**3.
3*l**3*(l + 3)
Factor -5*a**3 - 30*a**2 + 180*a - 200.
-5*(a - 2)**2*(a + 10)
Factor o**3 - 22*o**2 - 47*o - 24.
(o - 24)*(o + 1)**2
Suppose 4*z**2 - 348*z + 7488 = 0. What is z?
39, 48
Let -3*z**4/2 + 3*z**3/2 + 12*z**2 - 18*z = 0. What is z?
-3, 0, 2
Factor -i**3/5 - 2*i**2/5 + i/5 + 2/5.
-(i - 1)*(i + 1)*(i + 2)/5
Factor -f**2 - 114*f - 3249.
-(f + 57)**2
Factor -3*c**3/4 - 3537*c**2/4 - 1390041*c/4 - 182095371/4.
-3*(c + 393)**3/4
Factor 3*f**3 + 1206*f**2 + 161604*f + 7218312.
3*(f + 134)**3
Factor n**3/5 - 4*n**2/5 - n.
n*(n - 5)*(n + 1)/5
Solve -m**3/3 - 7*m**2/3 + 154*m/3 + 160/3 = 0 for m.
-16, -1, 10
Let -4*z**4 + 340*z**3 - 8976*z**2 + 70848*z - 62208 = 0. Calculate z.
1, 12, 36
Determine t so that 3*t**5 + 37*t**4/2 - 141*t**3 + 198*t**2 - 62*t - 33/2 = 0.
-11, -1/6, 1, 3
Suppose 4*b**3/3 - 16*b**2/3 - 44*b/3 - 8 = 0. Calculate b.
-1, 6
Suppose -2*i**5/19 - 6*i**4/19 + 2*i**3/19 + 6*i**2/19 = 0. Calculate i.
-3, -1, 0, 1
Solve s**2/6 - 4*s/3 = 0.
0, 8
Determine c, given that -c**5/7 - 3*c**4/7 + 118*c**3/7 + 362*c**2/7 + 363*c/7 + 121/7 = 0.
-11, -1, 11
Let -2*d**2 + 220*d - 1818 = 0. What is d?
9, 101
Solve -4*j**4 + 4*j**3 + 452*j**2 + 876*j + 432 = 0 for j.
-9, -1, 12
Factor -t**2/4 + 5*t/4 - 1.
-(t - 4)*(t - 1)/4
Factor -j**3/9 - 2*j**2/9 + 16*j/9 + 32/9.
-(j - 4)*(j + 2)*(j + 4)/9
Factor -2*t**3 - 296*t**2 + 298*t.
-2*t*(t - 1)*(t + 149)
Determine w so that -4*w**3 - 120*w**2 - 900*w = 0.
-15, 0
Solve -x**5/2 - 12*x**4 + 5*x**3/2 + 60*x**2 - 2*x - 48 = 0 for x.
-24, -2, -1, 1, 2
Solve -49*s**5/11 - 126*s**4/11 + 87*s**3/11 + 76*s**2/11 + 12*s/11 = 0.
-3, -2/7, 0, 1
Factor -2*r**2 - 132*r.
-2*r*(r + 66)
Factor 5*r**5 + 1050*r**4 + 12120*r**3 + 47840*r**2 + 63360*r.
5*r*(r + 4)**3*(r + 198)
Determine a so that 2*a**3 + 4*a**2 - 10*a - 12 = 0.
-3, -1, 2
Factor 4*x**3 - 96*x**2 - 108*x + 200.
4*(x - 25)*(x - 1)*(x + 2)
Suppose 25*f**5 - 35*f**4 - 90*f**3 + 140*f**2 - 40*f = 0. What is f?
-2, 0, 2/5, 1, 2
Factor -3*a**3/7 + 15*a**2/7 - 3*a + 9/7.
-3*(a - 3)*(a - 1)**2/7
Solve -2*c**2 - 154*c - 720 = 0 for c.
-72, -5
Determine b, given that 28*b**4 + 1836*b**3 - 1892*b**2 - 1836*b + 1864 = 0.
-466/7, -1, 1
Factor -6*o**3/5 + 848*o**2/5 - 84584*o/15 - 380192/15.
-2*(o + 4)*(3*o - 218)**2/15
Factor 4*b**4/7 - 40*b**3/7 + 100*b**2/7.
4*b**2*(b - 5)**2/7
Find h such that 6*h**5/13 + 10*h**4/13 - 128*h**3/13 + 176*h**2/13 + 32*h/13 - 96/13 = 0.
-6, -2/3, 1, 2
Factor -21*h**2 + 1266*h - 360.
-3*(h - 60)*(7*h - 2)
Solve -2*f**2/3 + 4*f/3 + 16/3 = 0.
-2, 4
Let 4*k**5/9 + 36*k**4 - 220*k**3/3 + 332*k**2/9 = 0. What is k?
-83, 0, 1
Factor -2*m**3/7 - 7386*m**2/7 - 9092166*m/7 - 3730818782/7.
-2*(m + 1231)**3/7
Factor 9*p**3 - 30*p**2 + 12*p + 24.
3*(p - 2)**2*(3*p + 2)
Factor -2*l**2 - 16*l.
-2*l*(l + 8)
Let 18*l**4 + 552*l**3 - 2650*l**2 + 2776*l - 840 = 0. What is l?
-35, 2/3, 3
Let -3*t**5/4 + 39*t**4 - 2451*t**3/4 + 5601*t**2/2 - 5037*t + 3174 = 0. Calculate t.
2, 23
Solve -3*l**2 - 54*l - 96 = 0.
-16, -2
Solve h**2 + 190*h = 0.
-190, 0
Suppose q**5 + 3*q**4 - 20*q**3 - 48*q**2 + 64*q = 0. What is q?
-4, 0, 1, 4
Determine o, given that o**2/2 - 11*o/2 - 13 = 0.
-2, 13
Solve -2*m**4/7 + 52*m**2/7 - 50/7 = 0 for m.
-5, -1, 1, 5
Let 2*k**4/23 + 50*k**3/23 + 462*k**2/23 + 1862*k/23 + 2744/23 = 0. What is k?
-7, -4
Factor -2*m**3/21 + 274*m**2/21 - 1360*m/3 + 9248/21.
-2*(m - 68)**2*(m - 1)/21
Factor p**3/2 - 3*p**2/2 - 2*p.
p*(p - 4)*(p + 1)/2
Factor 2*y**5/7 - 12*y**4/7 + 26*y**3/7 - 24*y**2/7 + 8*y/7.
2*y*(y - 2)**2*(y - 1)**2/7
Solve 21*r**4/2 + 3*r**3 - 42*r**2 - 12*r = 0.
-2, -2/7, 0, 2
Solve -2*k**2/11 + 1148*k/11 - 164738/11 = 0 for k.
287
Solve -5*f**4 - 20*f**3 + 55*f**2 + 150*f = 0 for f.
-5, -2, 0, 3
Let -2*g**4/5 - 32*g**3/5 - 6*g**2 = 0. Calculate g.
-15, -1, 0
Let -3*c**3 + 243*c**2 - 465*c - 711 = 0. What is c?
-1, 3, 79
Find q such that q**4 + 52*q**3 + 539*q**2 - 592*q = 0.
-37, -16, 0, 1
Solve -c**3/3 - 76*c**2/3 + 52*c = 0.
-7