 = 0.
-2/7, 0, 2/5, 2
Factor 14*y**4 + 647*y**3 + 7544*y**2 + 1587*y.
y*(y + 23)**2*(14*y + 3)
Determine z, given that 2*z**3/9 + 40*z**2/3 - 374*z/9 + 28 = 0.
-63, 1, 2
Suppose 5*y**5/6 + 25*y**4/6 + 5*y**3/3 - 35*y**2/3 - 5*y/2 + 15/2 = 0. Calculate y.
-3, -1, 1
Find n such that -3*n**4 + 3*n**3 + 21*n**2 - 3*n - 18 = 0.
-2, -1, 1, 3
Solve 2*h**2/17 - 4*h/17 - 6/17 = 0 for h.
-1, 3
Factor -w**2/8 + 9*w/8.
-w*(w - 9)/8
Suppose 50*d**4 + 365*d**3 + 655*d**2 + 415*d + 75 = 0. What is d?
-5, -1, -3/10
Factor 10*t**2/3 - 298*t + 356/3.
2*(t - 89)*(5*t - 2)/3
Find j such that 2*j**3 - 65*j**2/4 + 34*j - 4 = 0.
1/8, 4
Determine a so that 2*a**2/11 - 340*a/11 + 14450/11 = 0.
85
Factor 2*m**4/5 + 28112*m**3/5 + 148178352*m**2/5 + 347132485952*m/5 + 304955888908832/5.
2*(m + 3514)**4/5
Find l, given that l**2/6 + 13*l/2 + 19/3 = 0.
-38, -1
Factor 2*r**2 - 328*r + 13448.
2*(r - 82)**2
Let -z**5 - 8*z**4 + 127*z**3 + 446*z**2 - 5676*z + 8712 = 0. What is z?
-11, 2, 6
Find t, given that 3*t**2 + 51*t = 0.
-17, 0
Solve 4*t**5 + 8*t**4 + 4*t**3 = 0.
-1, 0
Solve -33*w**5/2 + 36*w**4 + 21*w**3/2 - 36*w**2 + 6*w = 0.
-1, 0, 2/11, 1, 2
Suppose -24*k**2 - 2103*k + 792 = 0. What is k?
-88, 3/8
Factor 2*c**2/3 - 226*c/3 + 872/3.
2*(c - 109)*(c - 4)/3
Suppose 2*w**2/7 + 64*w/7 + 512/7 = 0. Calculate w.
-16
Find p such that 5*p**2 + 65*p - 70 = 0.
-14, 1
Suppose -2*x**3/5 + 108*x**2/5 + 114*x/5 - 44 = 0. What is x?
-2, 1, 55
Factor 10*b**3/9 - 184*b**2/9 + 8*b.
2*b*(b - 18)*(5*b - 2)/9
Factor 3*n**3 + 33*n**2 - 54*n - 216.
3*(n - 3)*(n + 2)*(n + 12)
Let -c**4/6 - 5*c**3/6 - 4*c**2/3 - 2*c/3 = 0. What is c?
-2, -1, 0
Factor -3*p**3 - 267*p**2 - 780*p - 516.
-3*(p + 1)*(p + 2)*(p + 86)
Solve q**5/2 - 13*q**4 + 91*q**3/2 - 31*q**2 - 46*q + 44 = 0.
-1, 1, 2, 22
Factor x**4/3 - 19*x**3/3 - 4*x**2/3 + 76*x/3.
x*(x - 19)*(x - 2)*(x + 2)/3
Factor -2*f**5/13 + 90*f**4/13 + 500*f**3/13.
-2*f**3*(f - 50)*(f + 5)/13
Factor -g**5 + g**4 + g**3 - g**2.
-g**2*(g - 1)**2*(g + 1)
Find v, given that 2*v**4/7 - 904*v**3/7 - 1814*v**2/7 - 908*v/7 = 0.
-1, 0, 454
Find b, given that b**2/2 + 63*b + 125/2 = 0.
-125, -1
Find d, given that 3*d**2 + 180*d - 183 = 0.
-61, 1
Solve -y**5/11 - 2*y**4/11 + 2*y**2/11 + y/11 = 0 for y.
-1, 0, 1
Factor u**2/4 + 159*u/4 - 243/2.
(u - 3)*(u + 162)/4
Find k, given that -k**2/4 - 106*k + 213 = 0.
-426, 2
Determine d, given that 11*d**3/5 - 36*d**2/5 - 101*d/5 + 6 = 0.
-2, 3/11, 5
Determine q, given that 7*q**2 - 422*q = 0.
0, 422/7
Factor v**4/2 + 3*v**3 - 4*v**2 - 48*v - 64.
(v - 4)*(v + 2)*(v + 4)**2/2
Determine z, given that 3*z**3 - 78*z**2 - 561*z - 480 = 0.
-5, -1, 32
Factor 18*d**5/5 - 249*d**4/5 - 63*d**3.
3*d**3*(d - 15)*(6*d + 7)/5
Find a such that -a**2/5 + 163*a/5 - 322/5 = 0.
2, 161
Factor 2*n**4/3 - 8*n**3/3 + 4*n**2/3 + 8*n/3 - 2.
2*(n - 3)*(n - 1)**2*(n + 1)/3
Solve 21*s**4 - 258*s**3 - 495*s**2 - 132*s + 84 = 0.
-1, 2/7, 14
Suppose 5*f**3 + 2085*f**2 + 289815*f + 13428095 = 0. What is f?
-139
Solve 25*l**2/4 - 223*l/4 - 9/2 = 0 for l.
-2/25, 9
Factor -25*k**3 - 490*k**2 + 1300*k - 440.
-5*(k - 2)*(k + 22)*(5*k - 2)
Suppose -3*p**5/2 - 15*p**4 - 36*p**3 - 33*p**2 - 21*p/2 = 0. Calculate p.
-7, -1, 0
Factor 5*f**3 - 5*f**2 - 5*f + 5.
5*(f - 1)**2*(f + 1)
Factor -2*f**2/3 - 14*f - 76/3.
-2*(f + 2)*(f + 19)/3
What is l in -3*l**4 - 27*l**3 + 30*l**2 = 0?
-10, 0, 1
Find d such that -14*d**4 + 514*d**3 + 1226*d**2 + 854*d + 156 = 0.
-1, -2/7, 39
Determine v, given that 10*v**4 + 662*v**3 + 92*v**2 - 2648*v - 528 = 0.
-66, -2, -1/5, 2
Factor 35*u**5/4 - 125*u**4/4 + 75*u**3/2 - 25*u**2/2 - 25*u/4 + 15/4.
5*(u - 1)**4*(7*u + 3)/4
Let -2*g**2/9 - 172*g/3 + 534 = 0. Calculate g.
-267, 9
Factor i**2/3 + 14*i/3.
i*(i + 14)/3
Factor 5*v**5 - 85*v**4 + 465*v**3 - 935*v**2 + 790*v - 240.
5*(v - 8)*(v - 6)*(v - 1)**3
Factor -p**3/5 + 3*p**2 + 261*p/5 - 55.
-(p - 25)*(p - 1)*(p + 11)/5
Solve 6*n**3 - 21*n**2 + 9*n = 0 for n.
0, 1/2, 3
Determine x, given that -306*x**3 - 976*x**2/5 + 136*x/15 + 32/15 = 0.
-2/3, -4/45, 2/17
Factor -1083603*k**2/2 - 601*k - 1/6.
-(1803*k + 1)**2/6
Determine f so that 5*f**2/2 - 275*f/2 = 0.
0, 55
Factor -u**2/3 + 10*u + 64/3.
-(u - 32)*(u + 2)/3
Factor -2*t**2/5 + 214*t/5.
-2*t*(t - 107)/5
Factor 3*i**4/7 - 52*i**3/7 - 36*i**2/7.
i**2*(i - 18)*(3*i + 2)/7
What is k in -45*k**4/4 - 67*k**3/4 + 47*k**2/2 + 19*k - 10 = 0?
-2, -1, 2/5, 10/9
Factor r**3 + 5*r**2 + 7*r + 3.
(r + 1)**2*(r + 3)
Factor -n**3/4 + 17*n**2/4 - 75*n/4 + 99/4.
-(n - 11)*(n - 3)**2/4
Factor -16*o**4 - 48208*o**3 - 36288564*o**2 + 36324728*o - 9084196.
-4*(o + 1507)**2*(2*o - 1)**2
Find z such that 16*z**4 - 62*z**3 - 56*z**2 + 282*z + 36 = 0.
-2, -1/8, 3
Factor 2*y**4/5 + 24*y**3/5 + 14*y**2 - 24*y/5 - 72/5.
2*(y - 1)*(y + 1)*(y + 6)**2/5
Factor -3*r**5 - 57*r**4 - 336*r**3 - 888*r**2 - 1104*r - 528.
-3*(r + 2)**4*(r + 11)
Factor q**2/3 + 6*q + 15.
(q + 3)*(q + 15)/3
Factor -a**3/3 - 812*a**2/3 - 1621*a/3 - 270.
-(a + 1)**2*(a + 810)/3
Determine l so that 4*l**5/5 - 107*l**4/5 - 799*l**3/5 - 853*l**2/5 - 33*l = 0.
-5, -1, -1/4, 0, 33
Find c, given that 2*c**5/7 + 94*c**4/7 - 28*c**3 + 4*c**2/7 + 194*c/7 - 14 = 0.
-49, -1, 1
Find p, given that 3*p**5/4 - 45*p**4/2 + 42*p**3 + 4377*p**2/2 - 171*p/4 - 2166 = 0.
-8, -1, 1, 19
Factor -f**2/9 + 2654*f/9 - 1760929/9.
-(f - 1327)**2/9
Let -4*r**3/9 - 430*r**2/9 - 3014*r/9 - 1400/9 = 0. Calculate r.
-100, -7, -1/2
Let 4*t**2/7 + 456*t/7 + 1332/7 = 0. Calculate t.
-111, -3
Find u such that 2*u**4/3 + 398*u**3/3 + 132*u**2 = 0.
-198, -1, 0
Factor 9440*t**2 - 2380*t + 5.
5*(4*t - 1)*(472*t - 1)
Factor -4*g**4 - 36*g**3 + 4*g**2 + 36*g.
-4*g*(g - 1)*(g + 1)*(g + 9)
Solve -2*w**5/3 + 16*w**4/3 + 6*w**3 - 48*w**2 = 0.
-3, 0, 3, 8
Suppose -5*l**2 + 370*l + 375 = 0. What is l?
-1, 75
Suppose -2*l**2/9 - 956*l/3 - 114242 = 0. What is l?
-717
Suppose -5*h**5 - 210*h**4 - 2385*h**3 - 3400*h**2 + 6000*h = 0. Calculate h.
-20, -3, 0, 1
Let 12*r**2 + 332*r + 216 = 0. What is r?
-27, -2/3
Let 4*b**4 - 9936*b**3 + 6190096*b**2 - 24641280*b + 24601600 = 0. Calculate b.
2, 1240
Solve 4*w**3 - 316*w**2 - 4736*w - 4416 = 0 for w.
-12, -1, 92
Solve l**2 + 1673*l - 3350 = 0 for l.
-1675, 2
Factor -4*l**2/3 + 1516*l/3 - 143641/3.
-(2*l - 379)**2/3
Find z, given that 2*z**2 - 2454*z = 0.
0, 1227
Factor -c**4 + 5*c**3 + c**2 - 17*c - 12.
-(c - 4)*(c - 3)*(c + 1)**2
Factor m**2/11 - 6*m/11 + 8/11.
(m - 4)*(m - 2)/11
Factor 3*z**3/5 + 27*z**2/5 - 6*z.
3*z*(z - 1)*(z + 10)/5
Factor -57*q**4/2 - 111*q**3 - 102*q**2 + 12*q.
-3*q*(q + 2)**2*(19*q - 2)/2
Determine r so that -117*r**2 + 57*r - 6 = 0.
2/13, 1/3
What is r in -7*r**4/3 + 24*r**3 - 181*r**2/3 + 48*r - 28/3 = 0?
2/7, 1, 2, 7
Let 5*j**2 + 3050*j - 6120 = 0. What is j?
-612, 2
Find y such that -y**2 - 1141*y = 0.
-1141, 0
Factor -10*l**3/9 - 26*l**2/9 + 4*l/3.
-2*l*(l + 3)*(5*l - 2)/9
Factor 3*g**4 + 33*g**3 - 36*g**2.
3*g**2*(g - 1)*(g + 12)
Factor -5*p**4 - 115*p**3 - 670*p**2 - 560*p.
-5*p*(p + 1)*(p + 8)*(p + 14)
Factor 3*k**2 - 5586*k + 2600283.
3*(k - 931)**2
Factor 5*a**3 + 85*a**2 + 375*a + 495.
5*(a + 3)**2*(a + 11)
Determine y so that 4*y**3 - 284*y**2 + 2304*y - 4464 = 0.
3, 6, 62
Let -144*r**5 + 84*r**4 + 68*r**3 - 4*r**2 - 4*r = 0. Calculate r.
-1/3, 0, 1/4, 1
Factor -2*y**4 - 24*y**3.
-2*y**3*(y + 12)
Factor 2*z**2 - 428*z/9 - 32/3.
2*(z - 24)*(9*z + 2)/9
Factor 2*u**3/11 + 62*u**2/11 - 8*u/11 - 248/11.
2*(u - 2)*(u + 2)*(u + 31)/11
Factor -3*d**3 - 30*d**2 - 51*d + 84.
-3*(d - 1)*(d + 4)*(d + 7)
Factor 2*x**5 - 22*x**3 + 36*x**2 - 16*x.
2*x*(x - 2)*(x - 1)**2*(x + 4)
Factor -y**2 - 3*y.
-y*(y + 3)
Find p, given that 5*p**3 + 1310*p**2 - 1325*p - 2630 = 0.
-263, -1, 2
Factor -2*s**2 + 21*s - 54.
-(s - 6)*(2*s - 9)
Factor -n**4 - 92*n**3 - 173*n**2 + 626*n - 360.
-(n - 1)**2*(n + 4)*(n + 90)
Suppose d**5/4 + d**4/2 - 9*d**3/4 - 9*d**2/2 = 0. What is d?
-3, -2, 0, 3
Suppose 2*n**5/13 + 2*n**4 + 24*n**3/13 = 0. Calculate n.
-12, -1, 0
Factor y**5 - 25*y**4 + 24*y**3 + 3456*y**2 - 24192*y + 20736.
(y - 12)**3*(y - 1)*(y + 12)
Let -3*a**5 - 816*a**4 - 54666*a**3 + 111792*a**2 - 56307*a = 0. What is a?
-137, 0, 1
Let 2*d**3/5 + 34*d**2/5 + 126*d/5 - 162/5 = 0. Calculate d.
-9, 1
Factor -b**5 + 5*b**4 + 41*b**3 + 83*b**2 + 68*b + 20.
-(b - 10)*(b + 1)**3*(b + 2)
Factor -3*