3)*(4*a - 1)**2
Factor p**2/5 + 20*p + 500.
(p + 50)**2/5
Factor -5*c**5/3 + 5*c**4/3.
-5*c**4*(c - 1)/3
What is j in 3*j**2 + 339*j + 990 = 0?
-110, -3
Let 6*t**4/5 - 298*t**3/5 + 4638*t**2/5 - 22806*t/5 + 5292 = 0. What is t?
5/3, 6, 21
Find h such that -2*h**2 - 5314*h + 5316 = 0.
-2658, 1
Let 5*w**3/2 + 55*w**2/2 - 30*w = 0. What is w?
-12, 0, 1
Suppose -q**5/9 + q**4/3 - 2*q**3/9 = 0. What is q?
0, 1, 2
Solve 9*y**3 + 267*y**2 + 1935*y - 675 = 0 for y.
-15, 1/3
Determine g so that -3*g**5 + 27*g**4 - 45*g**3 - 75*g**2 = 0.
-1, 0, 5
Suppose -c**3 + 47*c**2 + 201*c + 153 = 0. Calculate c.
-3, -1, 51
Find g such that 3*g**5 + 15*g**4 + 15*g**3 - 15*g**2 - 18*g = 0.
-3, -2, -1, 0, 1
Solve -5*y**3 - 180*y**2 - 325*y + 510 = 0.
-34, -3, 1
Factor -g**5 - 165*g**4 - 7050*g**3 - 20170*g**2 - 19845*g - 6561.
-(g + 1)**3*(g + 81)**2
Find c, given that -2*c**3/9 + 46*c**2/9 = 0.
0, 23
Let 2*s**3/7 - 220*s**2/7 - 64*s = 0. What is s?
-2, 0, 112
Determine r so that -r**4 + 212*r**3 - 11235*r**2 - 212*r + 11236 = 0.
-1, 1, 106
Find v such that 5*v**2 + 72*v + 28 = 0.
-14, -2/5
Solve -p**2/3 - 36*p - 972 = 0.
-54
Let 3*w**5/4 - 15*w**3/4 + 3*w = 0. Calculate w.
-2, -1, 0, 1, 2
Factor -3*u**4 + 63*u**3 - 279*u**2 - 759*u + 2178.
-3*(u - 11)**2*(u - 2)*(u + 3)
What is c in 4*c**5/3 + 22*c**4/9 - 10*c**3/3 - 50*c**2/9 + 2*c + 28/9 = 0?
-2, -1, 1, 7/6
Factor 4*o**2/9 - 464*o/9 + 452/3.
4*(o - 113)*(o - 3)/9
Determine z so that -3*z**4/5 - 12*z**3 + 198*z**2/5 - 204*z/5 + 69/5 = 0.
-23, 1
Factor 8*s**3/9 + 14*s**2/9 - 4*s/9.
2*s*(s + 2)*(4*s - 1)/9
Solve 3*b**5 - 105*b**4 - 573*b**3 - 1059*b**2 - 834*b - 240 = 0.
-2, -1, 40
Factor 5*l**3 + 250*l**2 + 245*l.
5*l*(l + 1)*(l + 49)
Solve s**3 + 195*s**2 - 393*s + 197 = 0.
-197, 1
Factor -4*u**3 + 4*u**2 + 56*u - 96.
-4*(u - 3)*(u - 2)*(u + 4)
Factor -o**4/3 - 8*o**3/3 + 4*o**2 + 48*o.
-o*(o - 4)*(o + 6)**2/3
Solve 6*g**5/13 + 8*g**4/13 - 70*g**3/13 + 8*g + 32/13 = 0 for g.
-4, -1, -1/3, 2
Find k such that 4*k**2 + 244*k - 248 = 0.
-62, 1
Factor i**2 - 36*i + 68.
(i - 34)*(i - 2)
Find x, given that -32*x**2 - 3516*x - 3052 = 0.
-109, -7/8
Factor 2*r**2/7 + 64*r/7 + 494/7.
2*(r + 13)*(r + 19)/7
Solve 84*a**5 + 4*a**4 - 1764*a**3 + 1596*a**2 + 80*a = 0 for a.
-5, -1/21, 0, 1, 4
Find o, given that 4*o**5/5 + 62*o**4/5 + 282*o**3/5 + 322*o**2/5 + 98*o/5 = 0.
-7, -1, -1/2, 0
Factor -3*u**2 - 27*u - 24.
-3*(u + 1)*(u + 8)
Suppose -3*h**5/8 - 31*h**4/4 - 47*h**3/4 + 3*h**2 + 97*h/8 + 19/4 = 0. What is h?
-19, -1, -2/3, 1
Factor -9*r**4 + 29*r**3 - 6*r**2 - 36*r + 8.
-(r - 2)**2*(r + 1)*(9*r - 2)
Find p, given that 45*p**4/4 + 2351*p**3/8 + 2561*p**2/8 + 113*p + 25/2 = 0.
-25, -1/2, -2/5, -2/9
Factor 162*t**3/5 + 1008*t**2/5 + 218*t/5 + 12/5.
2*(t + 6)*(9*t + 1)**2/5
Determine i so that -14*i**2 - 6*i = 0.
-3/7, 0
Solve v**2/4 - 38*v + 1444 = 0.
76
What is g in -g**4 - 53*g**3 + 168*g**2 - 4*g - 224 = 0?
-56, -1, 2
Factor -r**4/2 + 5*r**3 - 33*r**2/2 + 22*r - 10.
-(r - 5)*(r - 2)**2*(r - 1)/2
Factor 3*v**4/4 + 12*v**3 + 45*v**2/4.
3*v**2*(v + 1)*(v + 15)/4
Factor -k**3 + 12*k**2 + k - 12.
-(k - 12)*(k - 1)*(k + 1)
Solve 2*p**5/5 - 4*p**4/5 - 8*p**3/5 + 4*p**2/5 + 6*p/5 = 0.
-1, 0, 1, 3
Determine w, given that -w**4 + 327*w**2 + 646*w = 0.
-17, -2, 0, 19
Determine k, given that 125*k**5 - 400*k**4 + 120*k**3 + 320*k**2 + 80*k = 0.
-2/5, 0, 2
Factor 2*o**3 - 30*o**2 - 1472*o - 1440.
2*(o - 36)*(o + 1)*(o + 20)
Factor -4*j**3/3 + 6112*j**2/3 - 2036*j.
-4*j*(j - 1527)*(j - 1)/3
Solve -z**2/7 - 20*z/7 - 19/7 = 0 for z.
-19, -1
Solve 16*n**5 + 116*n**4 + 204*n**3 - 68*n**2 - 220*n - 48 = 0 for n.
-4, -3, -1, -1/4, 1
Find a, given that -32*a**4 + 9968*a**3 + 15006*a**2 + 5632*a + 626 = 0.
-1, -1/4, 313
Factor -4*n**4 + 36*n**3 + 12*n**2 - 100*n - 72.
-4*(n - 9)*(n - 2)*(n + 1)**2
Factor t**3/3 - 3177*t**2 + 7568408*t + 22714756/3.
(t - 4766)**2*(t + 1)/3
Factor y**4 + 86*y**3 + 2492*y**2 + 25114*y + 22707.
(y + 1)*(y + 27)*(y + 29)**2
Let 4*n**5 - 76*n**4 + 252*n**3 + 412*n**2 - 256*n - 336 = 0. What is n?
-1, 1, 6, 14
Factor -3*j**4/2 - 303*j**3/2 - 7497*j**2/2 + 7803*j/2.
-3*j*(j - 1)*(j + 51)**2/2
Factor -2*a**3/5 - 222*a**2/5 - 7728*a/5 - 80408/5.
-2*(a + 19)*(a + 46)**2/5
Suppose -4*z**2 + 248*z - 928 = 0. What is z?
4, 58
Suppose -4*o**3/7 + 3884*o**2/7 + 23428*o/7 + 19540/7 = 0. What is o?
-5, -1, 977
Suppose -r**2/2 - 7*r = 0. Calculate r.
-14, 0
What is b in -4*b**5/7 + 4*b**3 - 8*b**2/7 - 48*b/7 + 32/7 = 0?
-2, 1, 2
Suppose -8*p**3/7 - 14*p**2 + 200*p/7 + 8 = 0. What is p?
-14, -1/4, 2
Factor 21*a**3 + 183*a**2 + 240*a - 84.
3*(a + 2)*(a + 7)*(7*a - 2)
Solve 2*x**3/7 + 4*x**2/7 - 286*x/7 = 0 for x.
-13, 0, 11
Factor 5*n**3 + 4340*n**2 - 8700*n.
5*n*(n - 2)*(n + 870)
Determine i, given that -3*i**4/4 - 6*i**3 + 45*i**2/2 - 24*i + 33/4 = 0.
-11, 1
Factor -x**2 - 3*x + 4.
-(x - 1)*(x + 4)
Factor 3*f**3 - 1239*f**2 + 127305*f + 128547.
3*(f - 207)**2*(f + 1)
Factor b**3/7 - 342*b**2/7.
b**2*(b - 342)/7
Solve 3*y**4/5 + 211*y**3/10 + 803*y**2/10 + 436*y/5 + 62/5 = 0 for y.
-31, -2, -1/6
Find w, given that 2*w**2/5 + 12*w/5 - 54/5 = 0.
-9, 3
Suppose -3*v**3/7 + 6*v**2/7 + 15*v/7 - 18/7 = 0. Calculate v.
-2, 1, 3
Let -5*v**3 + 230*v**2 - 1355*v - 6270 = 0. Calculate v.
-3, 11, 38
Factor 4*i**4 + 884*i**3 - 1796*i**2 - 2676*i.
4*i*(i - 3)*(i + 1)*(i + 223)
What is j in -24*j**4 + 4*j**3 = 0?
0, 1/6
Find l, given that 5*l**3/2 + 13*l**2 + 22*l + 12 = 0.
-2, -6/5
Factor -j**3/2 - 1323*j**2/4 - 661*j/4.
-j*(j + 661)*(2*j + 1)/4
What is p in 4*p**2/3 + 16*p + 80/3 = 0?
-10, -2
Factor -32*i**3/5 + 28*i**2/5 + 4*i/5.
-4*i*(i - 1)*(8*i + 1)/5
Find z such that 5*z**2 + 30*z = 0.
-6, 0
Suppose -v**5/4 + 5*v**4/4 - v**3/2 - 2*v**2 = 0. Calculate v.
-1, 0, 2, 4
What is x in x**3/2 + x**2/2 - x = 0?
-2, 0, 1
Factor -3*q**2/4 - 3*q/4 + 3/2.
-3*(q - 1)*(q + 2)/4
Solve 12*o**4 - 48*o**3 - 129*o**2 - 87*o - 18 = 0.
-1, -1/2, 6
Factor -2*u**3 - 1212*u**2 - 183618*u.
-2*u*(u + 303)**2
Find s, given that s**4/4 + 3*s**3/2 + s**2 - 3*s/2 - 5/4 = 0.
-5, -1, 1
Find z such that -4*z**2/9 - 12*z = 0.
-27, 0
Factor -4*b**4/5 - 84*b**3/5 - 216*b**2/5.
-4*b**2*(b + 3)*(b + 18)/5
Factor -3*s**5/4 + 9*s**4/2 - 6*s**3.
-3*s**3*(s - 4)*(s - 2)/4
What is c in 3*c**3/4 - 165*c**2/4 + 192*c - 225 = 0?
2, 3, 50
Factor -2*u**2 - 76*u + 336.
-2*(u - 4)*(u + 42)
Factor 366*f**2 + 452*f - 48.
2*(3*f + 4)*(61*f - 6)
Determine u, given that -2*u**2/19 - 616*u/19 + 618/19 = 0.
-309, 1
Find s, given that -2*s**5 - 316*s**4 - 11154*s**3 + 104912*s**2 - 220448*s = 0.
-83, 0, 4
Determine l, given that l**4/5 - 4*l**3/5 - 346*l**2/5 + 2236*l/5 + 9633/5 = 0.
-19, -3, 13
Factor 425*v**5 - 305*v**4 + 30*v**3.
5*v**3*(5*v - 3)*(17*v - 2)
Let -j**3/5 - 42*j**2/5 - 288*j/5 + 3456/5 = 0. Calculate j.
-24, 6
Find d such that -3*d**3 + 93*d**2 - 960*d + 3300 = 0.
10, 11
Solve w**3/11 + 6*w**2/11 - 9*w/11 - 14/11 = 0 for w.
-7, -1, 2
Factor -3*a**4/4 + 9*a**2/4 - 3*a/2.
-3*a*(a - 1)**2*(a + 2)/4
Factor -3*s**4 - 15*s**3 + 12*s**2 + 60*s.
-3*s*(s - 2)*(s + 2)*(s + 5)
Factor l**5/11 - 3*l**4/11 - 42*l**3/11 - 98*l**2/11 - 87*l/11 - 27/11.
(l - 9)*(l + 1)**3*(l + 3)/11
What is u in u**5/5 - 2*u**4/5 - 29*u**3/5 - 46*u**2/5 + 4*u + 56/5 = 0?
-2, 1, 7
Suppose -5*j**4 - 88*j**3 - 129*j**2 - 14*j + 32 = 0. What is j?
-16, -1, 2/5
Determine l so that 2*l**2 - 582*l - 4784 = 0.
-8, 299
What is w in -4*w**5 + 292*w**4 - 8028*w**3 + 101644*w**2 - 567424*w + 981552 = 0?
3, 13, 22
Factor v**3 + 217*v**2 + 11663*v - 11881.
(v - 1)*(v + 109)**2
Find p, given that -2*p**5 - 40*p**4 - 92*p**3 + 536*p**2 - 626*p + 224 = 0.
-16, -7, 1
Factor -b**3/3 + 13*b**2/3 + 29*b/3 + 5.
-(b - 15)*(b + 1)**2/3
Find x such that -3*x**3 + 15*x**2 + 666*x + 648 = 0.
-12, -1, 18
Let s**4/10 + 2*s**3/5 - 37*s**2/10 + 34*s/5 - 18/5 = 0. What is s?
-9, 1, 2
Factor -w**3/6 + 18*w**2 + 223*w/6 - 55.
-(w - 110)*(w - 1)*(w + 3)/6
Factor -b**5/3 + 7*b**4/3 - 5*b**3 + 3*b**2.
-b**2*(b - 3)**2*(b - 1)/3
Solve -g**2/5 + 348*g/5 + 1053/5 = 0 for g.
-3, 351
Let 3*g**4 - 39*g**3 - 147*g**2 + 39*g + 144 = 0. Calculate g.
-3, -1, 1, 16
Factor -3*c**2/4 - 369*c/2 + 741/4.
-3*(c - 1)*(c + 247)/4
Solve 49*q**4 - 560*q**3 + 207*q**2 + 260*q + 44 = 0.
-2/7, 1, 11
What is v in -3*v**4 - 306*v**3 - 9771*v**2 - 90468*v + 100548 = 0?
-42