, 1724
Solve -5*r**2 + 35000*r - 61250000 = 0.
3500
Find f such that -3*f**3 - 21*f**2 = 0.
-7, 0
Factor -3*o**3 + 51*o**2 - 189*o - 243.
-3*(o - 9)**2*(o + 1)
Determine d, given that 3*d**5 + 123*d**4 + 864*d**3 + 2472*d**2 + 3216*d + 1584 = 0.
-33, -2
Determine o so that 10*o**4/9 + 152*o**3/3 - 184*o**2/9 = 0.
-46, 0, 2/5
Suppose -2*m**2 - 1310*m + 2628 = 0. What is m?
-657, 2
Factor -3*g**3/8 - 105*g**2/8 - 741*g/8 + 3249/8.
-3*(g - 3)*(g + 19)**2/8
Suppose -2*t**3/9 + 14*t**2/9 + 80*t/9 - 200/9 = 0. What is t?
-5, 2, 10
Find j such that 2*j**4/3 - 86*j**3/9 + 28*j**2/9 = 0.
0, 1/3, 14
Factor -3*b**4 + 45*b**3 + 36*b**2 - 588*b + 720.
-3*(b - 15)*(b - 2)**2*(b + 4)
Solve 4*g**5 - 8*g**4 - 12*g**3 = 0 for g.
-1, 0, 3
Determine n, given that -26*n**2 + 2804*n/3 + 48 = 0.
-2/39, 36
Determine v so that -9*v**5 + 92*v**4 - 92*v**3 - 74*v**2 + 101*v - 18 = 0.
-1, 2/9, 1, 9
Factor -r**5 + 37*r**4 + 78*r**3 + 2*r**2 - 77*r - 39.
-(r - 39)*(r - 1)*(r + 1)**3
Factor -g**2 - 222*g - 12321.
-(g + 111)**2
Find m, given that 4*m**3/3 - 4*m - 8/3 = 0.
-1, 2
Factor -5*c**2 + 2995*c - 2990.
-5*(c - 598)*(c - 1)
Factor 3*k**4 - 1347*k**3 - 4062*k**2 - 2712*k.
3*k*(k - 452)*(k + 1)*(k + 2)
Factor 162*h**5 + 396*h**4 + 314*h**3 + 88*h**2 + 8*h.
2*h*(h + 1)**2*(9*h + 2)**2
Factor -4*g**3/5 + 29*g**2/5 + 233*g/5 - 12.
-(g - 12)*(g + 5)*(4*g - 1)/5
Factor f**2/3 + 17*f/3.
f*(f + 17)/3
Let 2*v**4 + 76*v**3 - 242*v**2 + 164*v = 0. What is v?
-41, 0, 1, 2
Determine t, given that -t**2 - 21*t + 46 = 0.
-23, 2
Suppose 2*b**3 + 124*b**2 = 0. Calculate b.
-62, 0
What is k in k**3/4 + 65*k**2/4 + 375*k/2 = 0?
-50, -15, 0
Solve 3*i**5 + 33*i**4 + 72*i**3 - 108*i**2 = 0 for i.
-6, 0, 1
Find x, given that -4*x**3/9 - 31*x**2/9 - 50*x/9 - 23/9 = 0.
-23/4, -1
Factor -r**5 - 4*r**4 - 3*r**3 + 4*r**2 + 4*r.
-r*(r - 1)*(r + 1)*(r + 2)**2
Let -4*h**3 + 12*h**2 + 96*h + 112 = 0. Calculate h.
-2, 7
What is s in -55*s**5 - 1990*s**4 - 305*s**3 + 1990*s**2 + 360*s = 0?
-36, -1, -2/11, 0, 1
Solve -13*f**5/2 - 17*f**4/4 + 45*f**3 + 275*f**2/4 + 29*f + 3 = 0.
-2, -1, -1/2, -2/13, 3
Factor -2*v**4/13 - 296*v**3/13 - 14700*v**2/13 - 19208*v - 235298/13.
-2*(v + 1)*(v + 49)**3/13
Factor 4*u**2 - 88*u + 84.
4*(u - 21)*(u - 1)
Find h, given that -h**2/3 - 8978*h/3 - 20151121/3 = 0.
-4489
Solve -j**2/5 - 646*j/5 = 0.
-646, 0
Suppose 2*j**3/19 - 72*j/19 = 0. Calculate j.
-6, 0, 6
Factor -4*c**3 + 1552*c**2 - 4620*c.
-4*c*(c - 385)*(c - 3)
Factor -7*h**3/4 + 279*h**2/2 - 2760*h - 800.
-(h - 40)**2*(7*h + 2)/4
Let -2*i**3 + 407*i**2/2 - 151*i - 101/2 = 0. Calculate i.
-1/4, 1, 101
Solve 144*j**5 - 1004*j**4 + 2124*j**3 - 1180*j**2 - 156*j + 72 = 0.
-1/4, 2/9, 1, 3
Factor 15*p**2 + 27*p - 6.
3*(p + 2)*(5*p - 1)
Suppose c**4/6 - 19*c**3/6 + 8*c**2 + 2*c/3 - 32/3 = 0. Calculate c.
-1, 2, 16
Solve 5*t**3 + 125*t**2 + 1030*t + 2800 = 0.
-10, -8, -7
Factor -z**2/7 - 3*z/7 + 54/7.
-(z - 6)*(z + 9)/7
Determine i, given that 15*i**5/2 - 57*i**4/2 - 135*i**3/2 + 141*i**2/2 + 192*i + 90 = 0.
-6/5, -1, 2, 5
Factor -4*r**3/9 - 22*r**2/9 - 32*r/9 - 14/9.
-2*(r + 1)**2*(2*r + 7)/9
Factor -3*b**2 - 624*b.
-3*b*(b + 208)
What is l in l**5/9 - 38*l**4/9 + 88*l**3/3 - 752*l**2/9 + 976*l/9 - 160/3 = 0?
2, 30
Let -8*j**3 - 8*j**2 + 14*j - 4 = 0. What is j?
-2, 1/2
Let -4*j**3 + 186*j**2 + 496*j - 294 = 0. Calculate j.
-3, 1/2, 49
Factor a**3/4 - 7*a**2/2 - 169*a/4 - 77/2.
(a - 22)*(a + 1)*(a + 7)/4
Solve 2*f**4/13 + 4*f**3/13 - 14*f**2/13 - 40*f/13 - 24/13 = 0 for f.
-2, -1, 3
Let -2*u**2 - 8*u = 0. Calculate u.
-4, 0
Suppose 3*n**3 - 101*n**2 + 66*n = 0. Calculate n.
0, 2/3, 33
Factor 3*t**4 + 69*t**3 + 360*t**2 - 432*t.
3*t*(t - 1)*(t + 12)**2
What is v in -2*v**4 + 44*v**3 - 336*v**2 + 980*v - 686 = 0?
1, 7
Suppose -s**5/8 + 7*s**4/8 + 39*s**3/8 + 53*s**2/8 + 11*s/4 = 0. What is s?
-2, -1, 0, 11
Factor -4*l**3 - 4*l**2 + 36*l + 36.
-4*(l - 3)*(l + 1)*(l + 3)
Let 3*q**4 + 78*q**3 + 747*q**2 + 3120*q + 4800 = 0. What is q?
-8, -5
Suppose 4*l**5 - 32*l**4 + 52*l**3 - 24*l**2 = 0. Calculate l.
0, 1, 6
Factor x**3 - 103*x - 198.
(x - 11)*(x + 2)*(x + 9)
What is u in 25*u**5 + 70*u**4 + 60*u**3 + 10*u**2 - 5*u = 0?
-1, 0, 1/5
Factor 4*b**2/3 + 152*b/3 - 320/3.
4*(b - 2)*(b + 40)/3
Find i such that 2*i**4/23 - 18*i**3/23 + 18*i**2/23 + 170*i/23 - 300/23 = 0.
-3, 2, 5
Factor 5*y**2 - 4375*y + 4370.
5*(y - 874)*(y - 1)
Find y such that 2*y**4/7 - 146*y**3/7 + 2432*y**2/7 + 8664*y/7 = 0.
-3, 0, 38
Factor l**3/2 + 15*l**2 + 94*l + 132.
(l + 2)*(l + 6)*(l + 22)/2
Factor 3*o**5 - 183*o**4 + 1188*o**3 - 2976*o**2 + 3264*o - 1296.
3*(o - 54)*(o - 2)**3*(o - 1)
Find k, given that k**3 + 79*k**2 + 584*k + 1136 = 0.
-71, -4
Factor -c**5 - 47*c**4 - 478*c**3 + 1726*c**2 - 1825*c + 625.
-(c - 1)**3*(c + 25)**2
Find a, given that 21*a**5/4 - 111*a**4/4 + 18*a**3 + 39*a**2 - 12*a = 0.
-1, 0, 2/7, 2, 4
Factor -2*n**4/3 - 244*n**3 - 29768*n**2 - 3631696*n/3.
-2*n*(n + 122)**3/3
Find y such that 15*y**4 - 155*y**3 - 710*y**2 - 820*y - 280 = 0.
-2, -1, -2/3, 14
Solve -2*t**2/7 + 3592*t/7 - 1612808/7 = 0.
898
Let 3*l**3 - 39*l**2 + 36*l = 0. Calculate l.
0, 1, 12
Find m such that -2*m**2 - 128*m - 896 = 0.
-56, -8
Factor 3*h**2/5 - 12*h/5 + 12/5.
3*(h - 2)**2/5
Determine l so that 35*l**5/6 - 95*l**4 + 325*l**3/3 + 70*l**2 - 685*l/6 + 25 = 0.
-1, 2/7, 1, 15
Let j**4/4 + 15*j**3/4 + 39*j**2/4 + 37*j/4 + 3 = 0. Calculate j.
-12, -1
Let -3*u**4 + 24*u**3 - 27*u**2 - 54*u = 0. What is u?
-1, 0, 3, 6
Factor -3*h**2 + 93*h - 552.
-3*(h - 23)*(h - 8)
Let -10*t**2 - 105*t - 275 = 0. What is t?
-11/2, -5
Solve -4*n**5/3 + 4588*n**4/3 - 443860*n**3 + 3055212*n**2 - 6511680*n + 3898800 = 0.
1, 3, 570
Determine r, given that 5*r**2 - 5 = 0.
-1, 1
Suppose 2*l**5 + 14*l**4 + 20*l**3 - 4*l**2 - 22*l - 10 = 0. Calculate l.
-5, -1, 1
What is h in 2*h**2 + 28*h + 26 = 0?
-13, -1
Factor 13*a**2 + 21*a - 10.
(a + 2)*(13*a - 5)
Suppose -f**3/7 - 27*f**2/7 + 4*f = 0. Calculate f.
-28, 0, 1
Factor -8*p**3 + 2750*p**2 + 3448*p + 690.
-2*(p - 345)*(p + 1)*(4*p + 1)
Solve 2*d**5/9 - 22*d**4/9 - 82*d**3/9 - 34*d**2/9 + 80*d/9 + 56/9 = 0.
-2, -1, 1, 14
Factor 87*r**2 - 96*r + 9.
3*(r - 1)*(29*r - 3)
Factor 2*l**3/15 - 8*l**2/5 + 512/15.
2*(l - 8)**2*(l + 4)/15
Solve -20*n**5/3 + 101*n**4 - 1543*n**3/3 + 2695*n**2/3 - 75*n - 250/3 = 0 for n.
-1/4, 2/5, 5
Factor s**4/8 - 609*s**3/8 - 1221*s**2/8 - 611*s/8.
s*(s - 611)*(s + 1)**2/8
Factor 4*j**3/7 - 124*j**2/7 + 444*j/7 - 324/7.
4*(j - 27)*(j - 3)*(j - 1)/7
Solve 2*k**5 - 24*k**4 - 12*k**3 + 128*k**2 + 186*k + 72 = 0 for k.
-1, 3, 12
Solve v**4 + 5*v**3 - 88*v**2 - 20*v + 336 = 0 for v.
-12, -2, 2, 7
Find y such that -y**3 + 183*y**2/5 - 283*y/5 + 21 = 0.
3/5, 1, 35
Factor -21*f**3 - 510*f**2 - 1467*f - 378.
-3*(f + 3)*(f + 21)*(7*f + 2)
Factor 5*k**3 - 195*k**2 + 2535*k - 10985.
5*(k - 13)**3
Solve 3*b**2/2 + 135*b - 276 = 0.
-92, 2
Factor v**2/3 + 406*v/3 - 407/3.
(v - 1)*(v + 407)/3
Factor -5*j**5 - 40*j**4 - 20*j**3 + 400*j**2 + 320*j - 1280.
-5*(j - 2)**2*(j + 4)**3
Factor 4*p**4/7 + 4*p**3 + 60*p**2/7 + 52*p/7 + 16/7.
4*(p + 1)**3*(p + 4)/7
Factor 3*u**2 - 2466*u + 506763.
3*(u - 411)**2
Suppose 5*m**4 - 105*m**3 + 485*m**2 + 825*m - 1210 = 0. Calculate m.
-2, 1, 11
Let 10*k**2/13 + 226*k/13 - 336/13 = 0. Calculate k.
-24, 7/5
Let 4*u**4 - 52*u**3 - 196*u**2 + 52*u + 192 = 0. What is u?
-3, -1, 1, 16
Find i, given that 8*i**2 + 82*i + 20 = 0.
-10, -1/4
Factor p**4/4 + 11*p**3/4 + 37*p**2/4 + 45*p/4 + 9/2.
(p + 1)**2*(p + 3)*(p + 6)/4
Suppose -4*z**4/9 - 6*z**3 + 32*z**2/9 + 6*z - 28/9 = 0. What is z?
-14, -1, 1/2, 1
Factor -v**2/9 - 41*v/9 + 14/3.
-(v - 1)*(v + 42)/9
Factor -u**3 - 288*u**2 - 21840*u - 156800.
-(u + 8)*(u + 140)**2
Suppose 3*f**3 + 6*f**2 - 24*f = 0. Calculate f.
-4, 0, 2
Factor 2*v**3/5 - 1432*v**2/5 - 1434*v/5.
2*v*(v - 717)*(v + 1)/5
Determine v, given that -v**2 - 7*v = 0.
-7, 0
Suppose 2*i**2 + 298*i + 296 = 0. Calculate i.
-148, -1
Suppose 5*x**2/6 + 10*x/3 - 25/6 = 0. What is x?
-5, 1
Determine p so that p**4/2 - 27*p**3 + 373*p**2/2 + 5472*p - 5632 = 0.
-11, 1, 32
Suppose -5*w**3 - 630*w**2 - 1245*w - 620 = 0. What is w?
-124, -1
Factor 3*s**3 - 1068*s**2 - 1071*s.
3*s*(s - 357)*(s + 1)
Factor -39*r**4/4 - 1593*r**3/4 + 123*r**2/2.
-3*r**2*(r + 41)*(13*r - 2)/4
Let -4*q**2 - 4208*q -