)*(v + 1)**2
Find v such that 12*v**3 + 746*v**2 + 120*v - 248 = 0.
-62, -2/3, 1/2
Factor h**2 + 9*h - 10.
(h - 1)*(h + 10)
Find z, given that -5*z**5 - 165*z**4 - 1250*z**3 + 2310*z**2 + 7735*z + 4335 = 0.
-17, -1, 3
Suppose y**4 + 2*y**3 - 3*y**2/4 - 5*y/4 + 1/2 = 0. Calculate y.
-2, -1, 1/2
Solve -2*c**4 + 32*c**3 - 144*c**2 + 256*c - 160 = 0 for c.
2, 10
Solve -7*n**5 + 44*n**4 + 156*n**3 - 496*n**2 + 128*n = 0.
-4, 0, 2/7, 2, 8
Determine w, given that 5*w**4 - 5*w**3 - 135*w**2 - 135*w + 270 = 0.
-3, 1, 6
Factor d**2/11 - 510*d/11 - 1024/11.
(d - 512)*(d + 2)/11
Determine f, given that f**5/3 - 23*f**4/3 + 49*f**3/3 + 223*f**2/3 - 50*f/3 - 200/3 = 0.
-2, -1, 1, 5, 20
Factor -3*k**2 + 31*k + 22.
-(k - 11)*(3*k + 2)
Factor 9*a**3/5 + 321*a**2/5 + 516*a/5 + 204/5.
3*(a + 1)*(a + 34)*(3*a + 2)/5
Factor 5*u**4 + 2815*u**3 + 405880*u**2 + 2704940*u.
5*u*(u + 7)*(u + 278)**2
Factor -8*x**3 - 40*x**2 - 34*x - 8.
-2*(x + 4)*(2*x + 1)**2
What is z in 5*z**5/3 + 10*z**4/3 - 5*z**3 - 40*z**2/3 - 20*z/3 = 0?
-2, -1, 0, 2
Determine b so that 2*b**2/9 - 844*b/9 + 89042/9 = 0.
211
Find k, given that 2*k**3/9 + 110*k**2 - 992*k/9 = 0.
-496, 0, 1
Suppose -3*n**2 + 135*n - 1188 = 0. What is n?
12, 33
Let 4*b**4 + 192*b**3 - 600*b**2 + 608*b - 204 = 0. Calculate b.
-51, 1
Let 5*l**4 + 55*l**3 - 125*l**2 + 65*l = 0. Calculate l.
-13, 0, 1
Factor k**2 + 17560*k + 77088400.
(k + 8780)**2
Determine h so that 2*h**3/23 + 14*h**2/23 + 22*h/23 + 10/23 = 0.
-5, -1
Factor 2*p**5/11 - 14*p**4/11 + 38*p**3/11 - 50*p**2/11 + 32*p/11 - 8/11.
2*(p - 2)**2*(p - 1)**3/11
What is v in -v**5/3 + 20*v**4/3 - 131*v**3/3 + 304*v**2/3 - 64*v = 0?
0, 1, 3, 8
Factor o**5/3 - 11*o**4/3 + 23*o**3/3 + 95*o**2/3 - 100*o.
o*(o - 5)**2*(o - 4)*(o + 3)/3
Suppose 2*c**2/9 - 14*c/3 - 92/9 = 0. Calculate c.
-2, 23
Factor o**2/4 + 72*o + 5184.
(o + 144)**2/4
Factor -2*c**4/3 - 62*c**3/3 - 72*c**2.
-2*c**2*(c + 4)*(c + 27)/3
Factor 5*h**3 - 110*h**2 + 375*h - 270.
5*(h - 18)*(h - 3)*(h - 1)
What is c in -2*c**3/7 + 12*c**2/7 + 8*c/7 - 48/7 = 0?
-2, 2, 6
Factor -4*a**4/9 - 8*a**3/3 + 20*a**2/3 - 32*a/9.
-4*a*(a - 1)**2*(a + 8)/9
Let 4*k**3 + 40*k**2 - 4*k - 40 = 0. What is k?
-10, -1, 1
Factor -w**2/6 - 143*w/3 - 20449/6.
-(w + 143)**2/6
Factor -i**2/2 - i + 4.
-(i - 2)*(i + 4)/2
Factor 4*p**5/9 + 8*p**4/9 - 8*p**3/9 - 32*p**2/9 - 28*p/9 - 8/9.
4*(p - 2)*(p + 1)**4/9
What is v in -9*v**3 + 42*v**2 - 64*v + 32 = 0?
4/3, 2
Factor r**2/2 - 49*r/2 + 24.
(r - 48)*(r - 1)/2
Find r, given that -r**4 + 59*r**3 + 3*r**2 - 175*r - 118 = 0.
-1, 2, 59
Factor -34*q**3 - 76*q**2 + 86*q + 24.
-2*(q - 1)*(q + 3)*(17*q + 4)
Solve 3*u**3 - 138*u**2 - 3*u + 138 = 0.
-1, 1, 46
Determine a so that -4*a**4/9 + 1612*a**3/9 - 18312*a**2 + 483200*a/9 - 320000/9 = 0.
1, 2, 200
Find g such that 4*g**5/3 - 32*g**4/3 + 8*g**3/3 + 128*g**2/3 + 28*g = 0.
-1, 0, 3, 7
Solve 5*m**3 + 45*m**2 - 425*m + 375 = 0 for m.
-15, 1, 5
Factor -j**2 - 17*j + 18.
-(j - 1)*(j + 18)
Solve -6*c**4 - 64*c**3 - 86*c**2 + 36*c = 0 for c.
-9, -2, 0, 1/3
Solve -2*q**2 + 2*q + 4 = 0 for q.
-1, 2
What is q in 3*q**5/4 + 261*q**4/4 + 6945*q**3/4 + 55707*q**2/4 + 39330*q + 27075 = 0?
-38, -5, -1
Solve -10*p**3 - 184*p**2 - 66*p + 108 = 0 for p.
-18, -1, 3/5
Let -8*m**5 - 36*m**4 + 124*m**3 - 108*m**2 + 28*m = 0. What is m?
-7, 0, 1/2, 1
Find a such that 2*a**4 + 926*a**3 - 3726*a**2 + 4666*a - 1868 = 0.
-467, 1, 2
Solve 2*n**3 + 8*n**2 - 110*n + 100 = 0.
-10, 1, 5
Factor -l**2/5 - 41*l/5 - 36.
-(l + 5)*(l + 36)/5
What is x in -3*x**4 + 27*x**2 - 12*x - 36 = 0?
-3, -1, 2
Factor -3*h**3 + 291*h**2 - 7473*h + 19881.
-3*(h - 47)**2*(h - 3)
Factor -3*j**2/5 + 777*j/5.
-3*j*(j - 259)/5
Determine w so that w**2/10 - 48*w/5 - 306/5 = 0.
-6, 102
Factor -2*o**4/13 + 8*o**3/13 - 10*o**2/13 + 4*o/13.
-2*o*(o - 2)*(o - 1)**2/13
Factor -z**4/3 - 4*z**3 - 10*z**2/3 + 4*z + 11/3.
-(z - 1)*(z + 1)**2*(z + 11)/3
Factor -z**3 - 20*z**2 + 21*z.
-z*(z - 1)*(z + 21)
Factor -w**4 - 47*w**3 - 528*w**2 + 576*w.
-w*(w - 1)*(w + 24)**2
Suppose -w**3 - 6*w**2 + 52*w + 120 = 0. Calculate w.
-10, -2, 6
Factor 64*q**3 + 288*q**2 + 324*q + 108.
4*(q + 3)*(4*q + 3)**2
Factor 2*h**3/11 - 338*h**2/11 + 13760*h/11 + 44376/11.
2*(h - 86)**2*(h + 3)/11
Factor w**2 + 185*w + 184.
(w + 1)*(w + 184)
What is x in x**3/7 - x**2 + 16*x/7 - 12/7 = 0?
2, 3
Solve -3*d**4/2 - 77*d**3/2 + 377*d**2/2 - 387*d/2 + 45 = 0 for d.
-30, 1/3, 1, 3
Suppose 12*i**5 - 14*i**4 - 334*i**3 + 248*i**2 + 2272*i - 384 = 0. What is i?
-4, -3, 1/6, 4
Determine n so that 9*n**4 - 12*n**3 - 3*n**2 + 6*n = 0.
-2/3, 0, 1
Find j, given that -20*j**5/3 - 686*j**4/9 - 1406*j**3/9 - 814*j**2/9 + 146*j/9 + 20 = 0.
-9, -1, -5/6, 2/5
Factor p**2/2 - 2363*p/2 - 2365.
(p - 2365)*(p + 2)/2
Factor 13718*k**5/13 - 983364*k**4/13 + 17467080*k**3/13 + 5581456*k**2/13 + 589824*k/13 + 20736/13.
2*(k - 36)**2*(19*k + 2)**3/13
Find r, given that 5*r**4/3 + 95*r**3/3 - 35*r**2 - 95*r/3 + 100/3 = 0.
-20, -1, 1
Find c such that -2*c**5/3 + 14*c**4/3 - 10*c**3 + 10*c**2/3 + 32*c/3 - 8 = 0.
-1, 1, 2, 3
Factor -c**3/3 - 20*c**2 - 336*c - 3136/3.
-(c + 4)*(c + 28)**2/3
Factor 4*r**2/7 - 232*r/7 + 3364/7.
4*(r - 29)**2/7
Factor 18*w**4 + 86*w**3 - 128*w**2 + 24*w.
2*w*(w - 1)*(w + 6)*(9*w - 2)
Solve -4*k**5 + 24*k**4 + 120*k**3 - 80*k**2 - 276*k + 216 = 0 for k.
-3, -2, 1, 9
Let 2*f**3 - 170*f**2 + 2086*f - 6958 = 0. What is f?
7, 71
Find n, given that 421362*n**2/5 - 7344*n/5 + 32/5 = 0.
4/459
Factor -2*d**3 - 64*d**2 - 232*d - 224.
-2*(d + 2)**2*(d + 28)
Suppose -4*n**4 + 12*n**3 + 180*n**2 + 324*n = 0. What is n?
-3, 0, 9
Determine r, given that -40*r**3/9 + 274*r**2/9 - 428*r/9 + 194/9 = 0.
1, 97/20
Suppose -4*i**5 - 12*i**4 + 24*i**3 + 104*i**2 + 108*i + 36 = 0. What is i?
-3, -1, 3
Factor -3*v**3/4 - 39*v**2/4 + 39*v + 48.
-3*(v - 4)*(v + 1)*(v + 16)/4
Let -u**3/4 - 1953*u**2/2 - 1271403*u - 551788902 = 0. Calculate u.
-1302
Solve 8*i**4/9 - 22*i**3/9 - 4*i**2/3 + 2*i = 0.
-1, 0, 3/4, 3
Factor -2*h**3/3 - 5*h**2 - 9*h - 10/3.
-(h + 2)*(h + 5)*(2*h + 1)/3
Let 2*l**4 - 116*l**3 + 226*l**2 - 112*l = 0. What is l?
0, 1, 56
Factor -p**3/3 + 19*p**2/3 + 64*p/3 + 44/3.
-(p - 22)*(p + 1)*(p + 2)/3
Solve 16*o**2 - 92*o + 120 = 0.
2, 15/4
What is h in 1681*h**2/5 + 246*h/5 + 9/5 = 0?
-3/41
Determine q so that -5*q**2 - 15940*q - 12704180 = 0.
-1594
Factor -i**2/5 + 178*i/5 + 728/5.
-(i - 182)*(i + 4)/5
Factor -z**4 + 2*z**3 + 7*z**2 + 4*z.
-z*(z - 4)*(z + 1)**2
Factor -n**3/5 - 2*n**2 - 11*n/5 + 14.
-(n - 2)*(n + 5)*(n + 7)/5
Factor -s**2 - 298*s + 299.
-(s - 1)*(s + 299)
Determine u, given that -3*u**5 - 9*u**4 + 21*u**3 + 33*u**2 - 18*u - 24 = 0.
-4, -1, 1, 2
Factor -2*d**4 + 10*d**3 - 18*d**2 + 14*d - 4.
-2*(d - 2)*(d - 1)**3
Solve p**3/2 + p**2/4 - 11*p/2 - 21/4 = 0.
-3, -1, 7/2
Suppose -5*j**2 - 850*j - 36125 = 0. Calculate j.
-85
Find a, given that a**4 + 476*a**3 + 1422*a**2 + 1420*a + 473 = 0.
-473, -1
Find a, given that 27556*a**2 + 1328*a + 16 = 0.
-2/83
Determine x, given that -3*x**5/4 - 9*x**4/2 - 15*x**3/4 + 9*x**2 = 0.
-4, -3, 0, 1
Factor -2*a**2/11 - 230*a/11.
-2*a*(a + 115)/11
Solve -4*y**4 + 20*y**3 - 24*y**2 - 16*y + 32 = 0 for y.
-1, 2
Determine x, given that x**5/2 - 5*x**4/12 - 29*x**3/12 + 9*x**2/4 + 23*x/12 - 11/6 = 0.
-2, -1, 1, 11/6
Factor 4*k**3 + 148*k**2 + 392*k - 544.
4*(k - 1)*(k + 4)*(k + 34)
Factor -2*i**2/7 - 132*i/7 + 272/7.
-2*(i - 2)*(i + 68)/7
Factor -b**2 - 108*b - 212.
-(b + 2)*(b + 106)
Factor s**2/10 + 252*s + 158760.
(s + 1260)**2/10
Suppose -b**2/5 - 2*b + 11/5 = 0. What is b?
-11, 1
Factor 3*a**3/2 + 3*a**2 - 21*a/2 + 6.
3*(a - 1)**2*(a + 4)/2
Find g such that 33*g**2/7 - 14394*g/7 + 2616/7 = 0.
2/11, 436
Determine t, given that 5*t**4 - 3050*t**3 + 474185*t**2 - 2763300*t + 4104180 = 0.
3, 302
Factor 10*z**3 + 5*z**2 - 205*z + 100.
5*(z - 4)*(z + 5)*(2*z - 1)
Factor 2*a**2/5 + 6908*a/5 + 6906/5.
2*(a + 1)*(a + 3453)/5
Let c**4/10 - 5*c**3/2 + 69*c**2/10 - 67*c/10 + 11/5 = 0. What is c?
1, 22
Factor 4*x**2/7 + 9264*x/7 + 5363856/7.
4*(x + 1158)**2/7
Factor 2*t**2 + 68*t + 378.
2*(t + 7)*(t + 27)
Factor -2*i**5 + 26*i**4 - 46*i**3 + 22*i**2.
-2*i**2*(i - 11)*(i - 1)**2
Factor 3*c**3/7 + 9*c**2/7 - 3*c/7 - 9/7.
3*(c - 1)*(c + 1)*(c + 3)/7
Factor 3*x**2 - 54*x - 57.
3*(x - 19)*(x + 1)
Determine m, given t