-2*d**3/7 - 18*d**2/7 - 52*d/7 - 48/7.
-2*(d + 2)*(d + 3)*(d + 4)/7
Suppose 2*r**2/13 + 80*r/13 + 800/13 = 0. What is r?
-20
Find d such that 3*d**2 + 15*d - 42 = 0.
-7, 2
Solve -2*x**4 + 4*x**3 + 72*x**2 + 176*x + 128 = 0.
-2, 8
Factor 2*z**3 - 74*z**2 - 50*z + 16250.
2*(z - 25)**2*(z + 13)
Let 2*j**3/13 + 34*j**2/13 + 110*j/13 + 6 = 0. What is j?
-13, -3, -1
Factor 2*u**3/17 + 64*u**2/17 - 758*u/17 - 820/17.
2*(u - 10)*(u + 1)*(u + 41)/17
Factor -2*v**3/7 + 32*v**2/7 + 34*v/7.
-2*v*(v - 17)*(v + 1)/7
Factor 9*w**5/4 - 15*w**4/4 + 7*w**3/4 - w**2/4.
w**2*(w - 1)*(3*w - 1)**2/4
Let -5*d**3 + 5*d = 0. Calculate d.
-1, 0, 1
Determine l, given that -2*l**2 - 4160*l - 2163200 = 0.
-1040
Find x such that -2*x**2/7 - 20*x + 592/7 = 0.
-74, 4
Find z, given that -2*z**4 + 660*z**3 - 56386*z**2 + 318168*z - 262440 = 0.
1, 5, 162
Find f, given that -24*f**4/11 - 246*f**3/11 + 1884*f**2/11 + 2646*f/11 + 540/11 = 0.
-15, -1, -1/4, 6
Factor 20*w**2 + 5736*w - 5756.
4*(w - 1)*(5*w + 1439)
Let -15*r**5 + 100*r**4 - 205*r**3 + 100*r**2 + 60*r = 0. Calculate r.
-1/3, 0, 2, 3
Suppose -v**3/4 + 125*v**2/4 + 63*v/2 = 0. What is v?
-1, 0, 126
Factor -5*x**5/6 - 50*x**4/3 - 40*x**3 + 480*x**2.
-5*x**2*(x - 4)*(x + 12)**2/6
Suppose 55*b**5 - 45*b**4 - 10*b**3 = 0. What is b?
-2/11, 0, 1
What is g in 3*g**3 - 558*g**2 + 25947*g = 0?
0, 93
Factor 5*d**3 - 555*d**2 + 540*d + 1100.
5*(d - 110)*(d - 2)*(d + 1)
Suppose 2*w**2/3 - 460*w/9 - 154/9 = 0. What is w?
-1/3, 77
Find d, given that -d**3/2 - d**2 + 13*d/2 - 5 = 0.
-5, 1, 2
Factor -2*b**2/5 + 228*b/5 - 218.
-2*(b - 109)*(b - 5)/5
What is l in -3*l**5 - 3*l**4 + 51*l**3 - 57*l**2 - 48*l + 60 = 0?
-5, -1, 1, 2
Factor 92*o**3/7 + 274*o**2/7 + 178*o/7 - 4/7.
2*(o + 1)*(o + 2)*(46*o - 1)/7
Find w, given that -w**5/4 - w**4/4 + 17*w**3/4 + 53*w**2/4 + 14*w + 5 = 0.
-2, -1, 5
Factor -g**5/8 - g**4 + 15*g**3/4 - 4*g**2 + 11*g/8.
-g*(g - 1)**3*(g + 11)/8
Let -2*f**3/9 + 2*f**2/9 + 4*f/3 = 0. Calculate f.
-2, 0, 3
Let -t**4/7 + 2*t**3 + 3*t**2/7 - 188*t/7 - 260/7 = 0. Calculate t.
-2, 5, 13
Determine o, given that 2*o**3/15 + 82*o**2/15 - 28*o/5 = 0.
-42, 0, 1
Factor -3*y**2 + 12756*y - 13559628.
-3*(y - 2126)**2
Factor -3*s**2/2 + 21*s/2 + 342.
-3*(s - 19)*(s + 12)/2
Factor 5*i**2/2 + 2140*i + 457960.
5*(i + 428)**2/2
What is p in p**5 + 10*p**4 + 36*p**3 + 56*p**2 + 32*p = 0?
-4, -2, 0
What is h in 2*h**3/3 - 12*h**2 + 130*h/3 = 0?
0, 5, 13
Suppose -2*v**2/9 + 18*v + 116 = 0. What is v?
-6, 87
Factor 4*r**2 + 680*r + 28900.
4*(r + 85)**2
Suppose 3*c**4 - 9*c**2 - 6*c = 0. What is c?
-1, 0, 2
Solve -v**5/4 + v**4 - 3*v**3/4 - v**2 + v = 0 for v.
-1, 0, 1, 2
Factor 2*q**3/9 + 2308*q**2/9 + 4610*q/9 + 256.
2*(q + 1)**2*(q + 1152)/9
Factor 15*y**3 + 55*y**2 - 95*y + 25.
5*(y - 1)*(y + 5)*(3*y - 1)
Suppose o**2/10 - 34*o + 2890 = 0. What is o?
170
Let -z**5/4 - 13*z**4/4 + 12*z**3 = 0. Calculate z.
-16, 0, 3
Determine m so that -5*m**4 - 1060*m**3 + 5*m**2 + 1060*m = 0.
-212, -1, 0, 1
Suppose -4*a**2 - 38096*a - 90706576 = 0. Calculate a.
-4762
Factor -147*z**3 + 399*z**2 - 102*z.
-3*z*(7*z - 17)*(7*z - 2)
Factor -3*h**3 + 9*h + 6.
-3*(h - 2)*(h + 1)**2
Solve 2*p**4/13 + 28*p**3/13 - 626*p**2/13 - 28*p/13 + 48 = 0.
-26, -1, 1, 12
Factor -2*b**5/11 + 6*b**3/11 + 4*b**2/11.
-2*b**2*(b - 2)*(b + 1)**2/11
What is h in -h**2/5 - 42*h/5 - 16 = 0?
-40, -2
Factor -9*l**2/5 - 123*l/5 + 42/5.
-3*(l + 14)*(3*l - 1)/5
Solve t**4/2 + 2*t**3 + 3*t**2/2 = 0.
-3, -1, 0
What is t in -8*t**4/3 - 652*t**3/3 - 13120*t**2/3 + 6724*t/3 = 0?
-41, 0, 1/2
Find q, given that -10*q**5/9 - 214*q**4/9 - 428*q**3/3 - 1480*q**2/9 - 400*q/9 = 0.
-10, -1, -2/5, 0
Let 4*p**5/11 - 2*p**4/11 - 10*p**3/11 + 2*p**2/11 + 6*p/11 = 0. What is p?
-1, 0, 1, 3/2
Factor -3*n**4 - 3*n**3 + 18*n**2.
-3*n**2*(n - 2)*(n + 3)
What is t in 2*t**2/3 - 26428*t/3 + 87304898/3 = 0?
6607
Factor -4*m**2 - 192*m + 3172.
-4*(m - 13)*(m + 61)
Factor -2*m**3/7 - 12*m**2/7 + 38*m/7 + 48/7.
-2*(m - 3)*(m + 1)*(m + 8)/7
Determine p so that -4*p**4/5 + 964*p**3/5 + 388*p**2 + 972*p/5 = 0.
-1, 0, 243
Let -w**2/2 + w/2 + 21 = 0. What is w?
-6, 7
Solve -3*s**4/2 - 709*s**3/6 - 1237*s**2/6 - 383*s/6 + 77/3 = 0.
-77, -1, 2/9
Find u such that 3*u**2/5 + 1287*u/5 + 1284/5 = 0.
-428, -1
Factor -3*b**2 - 186*b - 531.
-3*(b + 3)*(b + 59)
Find r such that -3*r**3 + 168*r**2 - 927*r + 1350 = 0.
3, 50
Determine s, given that s**3/4 + 65*s**2/4 + 127*s/4 + 63/4 = 0.
-63, -1
Factor 3*z**2/2 + 111*z/4.
3*z*(2*z + 37)/4
Find j such that -2*j**4/7 + 104*j**3/7 - 822*j**2/7 + 2096*j/7 - 1376/7 = 0.
1, 4, 43
Solve -16*c**5/5 + 44*c**4/5 - 26*c**3/5 + 4*c**2/5 = 0.
0, 1/4, 1/2, 2
What is s in -2*s**3 - 202*s**2/3 - 130*s/3 + 22 = 0?
-33, -1, 1/3
Determine i so that -22*i**4/19 - 134*i**3/19 + 318*i**2/19 + 2230*i/19 + 200/19 = 0.
-5, -1/11, 4
Factor 2*t**2/7 + 64*t/7 + 512/7.
2*(t + 16)**2/7
Solve -3*n**4 + 15*n**3 + 126*n**2 + 228*n + 120 = 0.
-2, -1, 10
Let 5*c**3 - 65*c + 60 = 0. What is c?
-4, 1, 3
Factor -p**4 + 34*p**3 - 409*p**2 + 2040*p - 3600.
-(p - 12)**2*(p - 5)**2
Solve 6*k**4 + 69*k**3/2 + 45*k**2 + 21*k/2 - 6 = 0.
-4, -1, 1/4
Factor -2*d**5/7 - 158*d**4/7 + 652*d**3/7 - 988*d**2/7 + 662*d/7 - 166/7.
-2*(d - 1)**4*(d + 83)/7
Determine a, given that 4*a**3 + 48*a**2 - 4*a - 48 = 0.
-12, -1, 1
Solve k**4/5 - 6*k**3/5 - 8*k**2/5 + 6*k/5 + 7/5 = 0 for k.
-1, 1, 7
Factor -b**4/6 - 13*b**3/3 - 47*b**2/2 - 68*b/3 + 152/3.
-(b - 1)*(b + 4)**2*(b + 19)/6
Solve 4*v**4/7 - 36*v**3/7 + 60*v**2/7 + 100*v/7 = 0.
-1, 0, 5
Let -5*m**5/3 - 25*m**4/2 - 15*m**3 + 365*m**2/6 + 95*m - 60 = 0. Calculate m.
-4, -3, 1/2, 2
Factor 4*h**3 - 1632*h**2 + 3236*h + 4872.
4*(h - 406)*(h - 3)*(h + 1)
Factor -s**4/4 - 15*s**3/2 - 61*s**2 - 345*s/2 - 475/4.
-(s + 1)*(s + 5)**2*(s + 19)/4
Factor 4*q**2/9 + 52*q/9 - 56/9.
4*(q - 1)*(q + 14)/9
Factor 3*y**5 + 3*y**4 - 6*y**3.
3*y**3*(y - 1)*(y + 2)
Factor -2*d**5 - 18*d**4 + 20*d**3.
-2*d**3*(d - 1)*(d + 10)
Let 3*n**3/8 - 21*n**2/8 - 45*n/4 = 0. Calculate n.
-3, 0, 10
Let 159*d**5/5 + 483*d**4/5 + 336*d**3/5 + 12*d**2/5 = 0. What is d?
-2, -1, -2/53, 0
Solve -g**4/4 - 43*g**3/4 - 333*g**2/4 - 945*g/4 - 459/2 = 0 for g.
-34, -3
Find h, given that h**4/4 + 3*h**3/4 + 3*h**2/4 + h/4 = 0.
-1, 0
Factor 5*c**2/4 + 595*c/2 - 600.
5*(c - 2)*(c + 240)/4
Factor z**3/4 - 5*z**2/4 - 2*z + 12.
(z - 4)**2*(z + 3)/4
Factor -2*p**3/17 + 14118*p**2/17 - 33219654*p/17 + 26055281954/17.
-2*(p - 2353)**3/17
Factor -4*i**2/3 - 6212*i/3.
-4*i*(i + 1553)/3
Determine c so that -18*c**4/11 + 138*c**3/11 + 58*c**2/11 - 82*c/11 + 16/11 = 0.
-1, 1/3, 8
Determine g so that 3*g**5/4 - 33*g**4/2 + 57*g**3 + 690*g**2 - 2400*g - 12000 = 0.
-4, 10
Find c such that -2*c**5/7 + 2*c**4/7 + 2*c**3/7 - 2*c**2/7 = 0.
-1, 0, 1
Let -3*v**3/5 - 66*v**2/5 - 177*v/5 - 114/5 = 0. Calculate v.
-19, -2, -1
Find w, given that w**3 + w**2 - w - 1 = 0.
-1, 1
Suppose -u**3 + 4*u**2 - u - 6 = 0. Calculate u.
-1, 2, 3
Suppose -4*c**4 + 72*c**3 - 244*c**2 + 288*c - 112 = 0. Calculate c.
1, 2, 14
Factor -p**5 + 15*p**4 - 74*p**3 + 110*p**2 + 75*p - 125.
-(p - 5)**3*(p - 1)*(p + 1)
Factor 3*a**3/2 - 26*a**2 + 30*a + 32.
(a - 16)*(a - 2)*(3*a + 2)/2
Suppose -4*x**4 + 52*x**3 - 204*x**2 + 268*x - 112 = 0. Calculate x.
1, 4, 7
What is k in -k**3/6 + 17*k**2/6 - 5*k = 0?
0, 2, 15
Factor -2*o**2/11 - 1108*o/11 - 153458/11.
-2*(o + 277)**2/11
Factor v**3/2 + 1287*v**2/2 + 208008*v + 618246.
(v + 3)*(v + 642)**2/2
Factor -2*v**2/11 + 118*v/11.
-2*v*(v - 59)/11
Factor 4*y**4 - 8*y**3 + 8*y - 4.
4*(y - 1)**3*(y + 1)
Solve -2*p**2 + 314*p = 0 for p.
0, 157
Find r such that -42*r**2 + 417*r + 459 = 0.
-1, 153/14
Factor v**2/4 + 7*v/2 + 13/4.
(v + 1)*(v + 13)/4
Factor -3*w**3 - 150*w**2 - 141*w + 294.
-3*(w - 1)*(w + 2)*(w + 49)
Factor -2*y**4/5 + 6*y**3/5 + 42*y**2 - 1078*y/5.
-2*y*(y - 7)**2*(y + 11)/5
Suppose 2*i**3 - 42*i**2 = 0. What is i?
0, 21
What is a in -a**4 + 3*a**3 + 9*a**2 + 5*a = 0?
-1, 0, 5
Suppose 140*d**4 - 12035*d**3 - 545*d**2 + 9860*d + 2580 = 0. Calculate d.
-3/4, -2/7, 1, 86
Find y, given that -2*y**2/3 + 16*y - 88/3 = 0.
2, 22
Factor 2*f**3 - 198*f**2 + 6534*f - 71874.
2*(f - 33)**3
Factor -4*f**4 + 16*f**3 - 12*f**2.
-4*f**2*(f - 3)*(f - 1)
Let -2*l**4/9 - 2*l**3/3 + 8*l/9 = 0. Calculate l.
-2, 0, 1
Factor 2*q**2 + 18*q - 1