72
Determine n so that -n**3/3 - 52*n**2/3 - 725*n/3 - 1250/3 = 0.
-25, -2
What is a in 8*a**5/5 + 24*a**4/5 - 22*a**3/5 - 12*a**2 + 10*a = 0?
-5/2, 0, 1
Let -5*z**4 + 590*z**3 - 1740*z**2 + 1730*z - 575 = 0. What is z?
1, 115
Factor 5*j**2 + 1340*j + 89780.
5*(j + 134)**2
Factor -5*v**3 + 115*v**2 + 1525*v + 4125.
-5*(v - 33)*(v + 5)**2
What is a in a**4 - 8*a**3 - 44*a**2 - 48*a = 0?
-2, 0, 12
Factor -s**5/9 + 19*s**4/9 - 17*s**3/3 + 49*s**2/9 - 16*s/9.
-s*(s - 16)*(s - 1)**3/9
Suppose 3*w**3 + 90*w**2 + 321*w + 234 = 0. Calculate w.
-26, -3, -1
Let x**3/2 - 8*x**2 + 77*x/2 - 49 = 0. Calculate x.
2, 7
Solve t**3 - t**2 - 6*t = 0 for t.
-2, 0, 3
What is p in 2*p**3 + 1042*p**2 + 135198*p - 136242 = 0?
-261, 1
Factor -t**2 - 37*t + 38.
-(t - 1)*(t + 38)
Factor 4*o**4/3 + 1772*o**3/3 + 195361*o**2/3 - 65564*o + 16428.
(o + 222)**2*(2*o - 1)**2/3
Determine f, given that 2*f**3/9 + 290*f**2/9 + 284*f/9 - 64 = 0.
-144, -2, 1
Factor -x**2 + 153*x - 450.
-(x - 150)*(x - 3)
Determine s, given that 2*s**4/9 + 382*s**3/9 + 748*s**2/3 + 4456*s/9 + 2960/9 = 0.
-185, -2
What is g in 2*g**3 - 1242*g**2 + 1240*g = 0?
0, 1, 620
Factor -2*i**3/3 + 22*i**2/3 - 62*i/3 + 14.
-2*(i - 7)*(i - 3)*(i - 1)/3
Factor l**4/4 - 79*l**3 + 12323*l**2/2 + 12561*l + 25281/4.
(l - 159)**2*(l + 1)**2/4
Find o, given that 49*o**5 - 21*o**4 - 808*o**3 + 332*o**2 + 384*o + 64 = 0.
-4, -2/7, 1, 4
Solve 2*s**5 - 32*s**4 + 24*s**3 + 100*s**2 - 154*s + 60 = 0 for s.
-2, 1, 15
Find w such that 3*w**2 + 2451*w + 2448 = 0.
-816, -1
Solve 20*j**4/3 - 20*j**3 - 5*j**2/3 + 5*j = 0 for j.
-1/2, 0, 1/2, 3
Factor -3*b**3/7 + 228*b**2/7 - 663*b/7 + 438/7.
-3*(b - 73)*(b - 2)*(b - 1)/7
Determine r so that 5*r**3 + 3595*r**2 + 644400*r - 648000 = 0.
-360, 1
Determine w, given that 2*w**5 - 10*w**4 - 16*w**3 + 24*w**2 = 0.
-2, 0, 1, 6
Factor -u**3 - 90*u**2 + 91*u.
-u*(u - 1)*(u + 91)
Factor 2*m**2 - 20*m + 18.
2*(m - 9)*(m - 1)
Factor -3*g**3 - 1512*g**2.
-3*g**2*(g + 504)
Find z such that -5*z**4 - 6510*z**3 + 5*z**2 + 6510*z = 0.
-1302, -1, 0, 1
Factor 3*z**2 + 132*z.
3*z*(z + 44)
Factor 4*y**3 + 72*y**2 + 132*y + 64.
4*(y + 1)**2*(y + 16)
Determine u, given that -u**5 + 10*u**4 + 36*u**3 + 38*u**2 + 13*u = 0.
-1, 0, 13
Suppose 8*g**2/5 - 26*g + 32/5 = 0. Calculate g.
1/4, 16
Suppose -y**3 - 566*y**2 - 1129*y - 564 = 0. Calculate y.
-564, -1
Determine s, given that -s**3/8 + 2*s**2 + 29*s/8 - 51/2 = 0.
-4, 3, 17
Solve -2*t**5/15 + 316*t**4/15 - 626*t**3/15 + 104*t**2/5 = 0 for t.
0, 1, 156
Solve -5*r**2 - 50*r - 105 = 0.
-7, -3
Factor w**2/3 + 14*w.
w*(w + 42)/3
Determine m, given that -2*m**2/17 - 92*m/17 + 30 = 0.
-51, 5
Factor 4*l**3 - 84*l**2 - 280*l - 192.
4*(l - 24)*(l + 1)*(l + 2)
Solve 6*s**4/7 + 1212*s**3/7 + 64734*s**2/7 + 50904*s + 74088 = 0 for s.
-98, -3
Find k, given that 2*k**5/9 - 308*k**4/9 + 11212*k**3/9 + 50840*k**2/9 - 10586*k/3 - 24964 = 0.
-3, 2, 79
Factor -2883*l**4 - 1116*l**3 - 108*l**2.
-3*l**2*(31*l + 6)**2
Suppose t**4/5 + 326*t**3/5 + 2249*t**2/5 + 5116*t/5 + 3828/5 = 0. What is t?
-319, -3, -2
Determine w so that -2*w**4/9 + 16*w**2/9 - 32/9 = 0.
-2, 2
Factor 4*i**3 - 792*i**2 + 39984*i - 76832.
4*(i - 98)**2*(i - 2)
Let -4*r**5 + 4348*r**4 - 1179388*r**3 - 1188092*r**2 + 1179392*r + 1183744 = 0. Calculate r.
-1, 1, 544
What is f in -14*f**5/11 - 158*f**4/11 - 32*f**3 + 1256*f**2/11 + 4416*f/11 + 1152/11 = 0?
-6, -4, -2/7, 3
Suppose -5*t**5 + 140*t**4 + 365*t**3 - 1880*t**2 - 2220*t + 3600 = 0. What is t?
-4, -2, 1, 3, 30
Factor -3*c**2/7 - 138*c - 963/7.
-3*(c + 1)*(c + 321)/7
What is r in 3*r**5/4 + 27*r**4/2 + 111*r**3/2 + 93*r**2 + 279*r/4 + 39/2 = 0?
-13, -2, -1
Factor -3*z**3/4 + 135*z**2/2 - 6075*z/4.
-3*z*(z - 45)**2/4
Factor -2*w**2/9 + 14*w/9 - 4/3.
-2*(w - 6)*(w - 1)/9
Solve 20402*u**2/5 - 404*u/5 + 2/5 = 0 for u.
1/101
Factor -3*b**2 - 924*b.
-3*b*(b + 308)
Determine v so that -3*v**4 + 27*v**3 - 72*v**2 + 60*v = 0.
0, 2, 5
Factor -2*i**4 - 50*i**3 + 52*i**2.
-2*i**2*(i - 1)*(i + 26)
Let d**5 - 23*d**4 + 192*d**3 - 688*d**2 + 896*d = 0. What is d?
0, 4, 7, 8
Factor -q**3 + 975*q**2 - 316875*q + 34328125.
-(q - 325)**3
Factor 4*x**3 + 32*x**2 + 68*x + 40.
4*(x + 1)*(x + 2)*(x + 5)
Determine r so that -5*r**5/3 + 25*r**4/3 + 40*r**3/3 - 20*r**2 = 0.
-2, 0, 1, 6
Factor 16*k**3 + 236*k**2 + 356*k - 104.
4*(k + 2)*(k + 13)*(4*k - 1)
What is d in 17*d**5 - 1022*d**4 + 3078*d**3 - 3272*d**2 + 1313*d - 114 = 0?
2/17, 1, 57
Factor 3*m**2/2 + 21*m/2 - 12.
3*(m - 1)*(m + 8)/2
Factor -3*q**4/4 + 3*q**3 - 15*q**2/4 + 3*q/2.
-3*q*(q - 2)*(q - 1)**2/4
Factor -2*y**3/11 + 2*y**2 + 92*y/11 - 112/11.
-2*(y - 14)*(y - 1)*(y + 4)/11
Factor 2*c**3/13 + 66*c**2/13 + 510*c/13 - 578/13.
2*(c - 1)*(c + 17)**2/13
Factor -2*u**2 - 80*u + 768.
-2*(u - 8)*(u + 48)
Factor u**4/2 - u**3 - u**2/2 + u.
u*(u - 2)*(u - 1)*(u + 1)/2
Let -4*q**4/5 + 53*q**3/5 - 153*q**2/5 - 161*q/5 + 49/5 = 0. Calculate q.
-1, 1/4, 7
Factor 5*x**4/2 + 5*x**3 - 5*x**2/2 - 5*x.
5*x*(x - 1)*(x + 1)*(x + 2)/2
Determine j, given that -j**2 + 47*j + 98 = 0.
-2, 49
Suppose -7*l**2 + 12*l + 99 = 0. Calculate l.
-3, 33/7
Factor r**3/6 + 3*r**2/2 + 7*r/3.
r*(r + 2)*(r + 7)/6
Factor -2*v**5 - 18*v**4 - 16*v**3 + 256*v**2 + 768*v + 512.
-2*(v - 4)*(v + 1)*(v + 4)**3
Factor 2*v**3 - 896*v**2 + 2674*v - 1780.
2*(v - 445)*(v - 2)*(v - 1)
Factor -o**2/6 + 12*o + 73/6.
-(o - 73)*(o + 1)/6
Factor 3*x**5/2 + 3873*x**4 + 5000043*x**3/2.
3*x**3*(x + 1291)**2/2
Find v such that v**4/3 - v**3/3 - 211*v**2/3 + 421*v/3 - 70 = 0.
-15, 1, 14
What is l in -2*l**2/7 - 192*l - 32256 = 0?
-336
Suppose -2*f**5/21 + 2*f**4/7 + 8*f**3/21 = 0. What is f?
-1, 0, 4
Let -5*s**3 - 1850*s**2 - 1845*s = 0. What is s?
-369, -1, 0
Factor 2*y**4 + 388*y**3 + 1152*y**2 + 1148*y + 382.
2*(y + 1)**3*(y + 191)
Let -4*y**3 + 8*y**2 + 128*y - 384 = 0. Calculate y.
-6, 4
Suppose 2*t**3 + 34*t**2 - 82*t - 114 = 0. What is t?
-19, -1, 3
Suppose 5*o**3 + 3580*o**2 - 5*o - 3580 = 0. What is o?
-716, -1, 1
Solve c**2/6 + 61*c/6 - 31/3 = 0 for c.
-62, 1
Factor 5*q**2 - 6805*q.
5*q*(q - 1361)
Factor 2*y**3/17 + 18*y**2/17 - 42*y/17 + 22/17.
2*(y - 1)**2*(y + 11)/17
Factor 5*y**4 - 30*y**3 - 305*y**2 + 330*y.
5*y*(y - 11)*(y - 1)*(y + 6)
Find j such that 4*j**3/17 + 6*j**2/17 - 72*j/17 + 88/17 = 0.
-11/2, 2
Factor 4*o**3 - 448*o**2 + 2156*o - 1712.
4*(o - 107)*(o - 4)*(o - 1)
Let -4*l**3 + 52*l**2 + 120*l = 0. Calculate l.
-2, 0, 15
Find x, given that -2*x**3 + 2934*x**2/13 - 2460*x/13 - 448/13 = 0.
-2/13, 1, 112
Factor -3*c**2 + 60*c + 207.
-3*(c - 23)*(c + 3)
Let 3*f**2 - 9*f = 0. What is f?
0, 3
Factor -2*a**2/11 + 30*a/11 - 28/11.
-2*(a - 14)*(a - 1)/11
Factor -4*j**2 - 624*j - 1232.
-4*(j + 2)*(j + 154)
Find n such that n**2/2 + 1313*n/2 = 0.
-1313, 0
Let -3*n**3/7 - 45*n**2 - 1008*n + 9408 = 0. Calculate n.
-56, 7
Factor g**5/4 + 3*g**4/4 - g**2.
g**2*(g - 1)*(g + 2)**2/4
Solve -p**5/2 + 27*p**4/2 + 31*p**3/2 - 79*p**2/2 - 69*p - 28 = 0 for p.
-1, 2, 28
Determine h so that h**4/2 + 11*h**3/2 + 19*h**2 + 26*h + 12 = 0.
-6, -2, -1
Determine l, given that -6*l**3/5 - 126*l**2 - 1848*l/5 - 1224/5 = 0.
-102, -2, -1
Factor -3*a**3 - 75*a**2 + 78*a.
-3*a*(a - 1)*(a + 26)
Factor -3*f**3/5 + 39*f**2/5 + 12*f - 252/5.
-3*(f - 14)*(f - 2)*(f + 3)/5
Suppose -4*p**5 - 28*p**4 + 76*p**3 + 28*p**2 - 72*p = 0. What is p?
-9, -1, 0, 1, 2
Determine o so that -3*o**2/2 - 39*o/2 + 1242 = 0.
-36, 23
Let -2*b**2/17 + 256*b/17 + 520/17 = 0. Calculate b.
-2, 130
Factor -5*z**3/7 + 9*z**2/7 - 4*z/7.
-z*(z - 1)*(5*z - 4)/7
Factor 3*g**3 + 15*g**2 - 3*g - 15.
3*(g - 1)*(g + 1)*(g + 5)
Let 154*y**2/9 - 68*y/9 - 32/9 = 0. Calculate y.
-2/7, 8/11
Find z such that z**4/5 - 43*z**3/5 - 27*z**2 - 137*z/5 - 46/5 = 0.
-1, 46
Suppose 2*m**4/11 - 6*m**3/11 - 128*m**2/11 + 456*m/11 + 576/11 = 0. What is m?
-8, -1, 6
Factor -l**3 + 49*l**2 - 368*l + 320.
-(l - 40)*(l - 8)*(l - 1)
Determine g so that 3*g**2/8 + 147*g/8 + 18 = 0.
-48, -1
Factor k**2 + 199*k + 1710.
(k + 9)*(k + 190)
Factor -3*u**3 + 21*u - 18.
-3*(u - 2)*(u - 1)*(u + 3)
Factor 3*j**2 - 8688*j + 6290112.
3*(j - 1448)**2
Determine q, given that -4*q**2 - 16*q + 180 = 0.
-9, 5
Find o, given that 5*o**5 - 40*o**4 + 55*o**3 + 40*o**2 - 60*o = 0.
-1, 0, 1, 2, 6
Solve 3*z**2 + 4926*z + 2022123 = 0.
-821
Factor -2*n**3/11 + 168*n**2/