for y.
-62, 18
Find w, given that -2*w**2 - 1024*w = 0.
-512, 0
Factor -h**4 - 61*h**3 + h**2 + 61*h.
-h*(h - 1)*(h + 1)*(h + 61)
Factor 20*c**5 - 845*c**4 + 825*c**3.
5*c**3*(c - 1)*(4*c - 165)
Let 3*d**3 + 78*d**2 - 99*d - 486 = 0. Calculate d.
-27, -2, 3
Factor -4*b**5 - 112*b**4 - 212*b**3 - 104*b**2.
-4*b**2*(b + 1)**2*(b + 26)
Factor -28*s**2 - 328*s - 220.
-4*(s + 11)*(7*s + 5)
Factor -3*j**2 + 51*j + 114.
-3*(j - 19)*(j + 2)
Factor -4*g**3 - 16*g**2 + 4012*g - 43928.
-4*(g - 17)**2*(g + 38)
Let 3*i**2/2 + 519*i + 5115/2 = 0. Calculate i.
-341, -5
Determine r, given that -3*r**5 + 237*r**4 + 249*r**3 - 717*r**2 - 246*r + 480 = 0.
-2, -1, 1, 80
Let 2*b**5/7 - 20*b**4/7 - 78*b**3/7 = 0. What is b?
-3, 0, 13
Suppose 2*f**4/15 - 6*f**3/5 + 44*f**2/15 - 64/15 = 0. What is f?
-1, 2, 4
Factor i**4 + 122*i**3 + 1341*i**2 + 2212*i - 10780.
(i - 2)*(i + 7)**2*(i + 110)
Solve -10*q**5 + 66*q**4 + 498*q**3 + 38*q**2 - 2040*q - 792 = 0.
-3, -2/5, 2, 11
Factor x**2/8 - 507*x/2 - 2029/8.
(x - 2029)*(x + 1)/8
Factor 2*o**3 - 266*o**2 + 508*o + 2096.
2*(o - 131)*(o - 4)*(o + 2)
Determine u so that -u**2 - 26*u - 48 = 0.
-24, -2
Factor 2*k**3 - 262*k**2 + 772*k - 512.
2*(k - 128)*(k - 2)*(k - 1)
Suppose -2*c**3/11 + 4*c**2/11 + 14*c/11 + 8/11 = 0. What is c?
-1, 4
What is n in -3*n**4/7 - 13*n**3/7 + 15*n**2/7 + 25*n/7 = 0?
-5, -1, 0, 5/3
Suppose 2*j**3 + 130*j**2 + 2176*j + 2048 = 0. Calculate j.
-32, -1
Let 2*n**5/3 + 10*n**4/3 + 8*n**3/3 - 32*n**2/3 - 64*n/3 - 32/3 = 0. What is n?
-2, -1, 2
Let 4*p**4/5 + 56*p**3/5 + 256*p**2/5 + 384*p/5 = 0. Calculate p.
-6, -4, 0
Factor -2*j**2/5 + 24544*j/5 - 75300992/5.
-2*(j - 6136)**2/5
Let -5*p**4 + 100*p**3 - 375*p**2 = 0. Calculate p.
0, 5, 15
Let -j**3/2 - 77*j**2 - 5929*j/2 = 0. What is j?
-77, 0
Find p such that -18*p**3/13 - 40*p**2/13 - 2*p - 4/13 = 0.
-1, -2/9
Factor 5*l**4 + 10*l**3 + 5*l**2.
5*l**2*(l + 1)**2
Factor -2*m**4/9 - 8*m**3/9 + 14*m**2/9 + 20*m/9.
-2*m*(m - 2)*(m + 1)*(m + 5)/9
Factor 4*x**3 + 304*x**2.
4*x**2*(x + 76)
Factor 21*o**2 + 93*o - 60.
3*(o + 5)*(7*o - 4)
Determine y, given that -y**5/2 + 7*y**4/2 - 17*y**3/2 + 17*y**2/2 - 3*y = 0.
0, 1, 2, 3
Factor -m**2 - 152*m - 5776.
-(m + 76)**2
Let o**2 + 504*o + 503 = 0. What is o?
-503, -1
Factor -2*r**2/21 - 68*r/21 + 160/7.
-2*(r - 6)*(r + 40)/21
Solve -4*r**5/9 - 10*r**4/9 + 2*r**3/9 + 14*r**2/9 + 2*r/9 - 4/9 = 0.
-2, -1, 1/2, 1
Factor -3*x**4 + 9*x**3 - 12*x.
-3*x*(x - 2)**2*(x + 1)
Find j such that -3*j**5/7 + 36*j**4/7 - 69*j**3/7 - 108*j**2/7 = 0.
-1, 0, 4, 9
Factor -2*j**2/3 + 128*j - 6144.
-2*(j - 96)**2/3
Suppose 4*k**5/3 - 32*k**4/3 + 16*k**3/3 + 104*k**2/3 - 148*k/3 + 56/3 = 0. Calculate k.
-2, 1, 7
Find r such that 8*r**5/3 + 26*r**4/3 + 22*r**3/3 + 4*r**2/3 = 0.
-2, -1, -1/4, 0
Determine m, given that 10*m**2 + 166*m - 68 = 0.
-17, 2/5
Determine z, given that -2*z**2/3 - 16*z - 160/3 = 0.
-20, -4
Factor -17*z**2/2 - 23*z/2 - 3.
-(z + 1)*(17*z + 6)/2
Solve -5*g**4 + 90*g**3 - 7290*g + 32805 = 0.
-9, 9
Factor -2*w**3/3 + 158*w**2 - 12482*w + 986078/3.
-2*(w - 79)**3/3
Solve 2*i**4 + 34*i**3 + 150*i**2 + 198*i = 0 for i.
-11, -3, 0
Find k, given that k**5/4 + 4*k**4 - 3*k**3/4 - 23*k**2/2 + 8*k = 0.
-16, -2, 0, 1
Factor 5*j**2 - 75*j + 130.
5*(j - 13)*(j - 2)
Solve 2*l**5/5 - 2*l**4 + 16*l**3/5 - 8*l**2/5 = 0 for l.
0, 1, 2
Factor 169*u**3/4 + 91*u**2/2 + 49*u/4.
u*(13*u + 7)**2/4
Suppose s**2/11 + 1286*s/11 + 2568/11 = 0. Calculate s.
-1284, -2
Determine t so that -2*t**4/9 + 38*t**3/3 - 68*t**2 - 64*t/9 + 1088/3 = 0.
-2, 4, 51
Find c, given that 5*c**2 - 55*c - 130 = 0.
-2, 13
Factor 6*u**5 - 33*u**4 + 36*u**3.
3*u**3*(u - 4)*(2*u - 3)
Find m such that 18*m**5/13 - 50*m**4/13 + 42*m**3/13 - 6*m**2/13 - 4*m/13 = 0.
-2/9, 0, 1
Determine l, given that -l**5 + 31*l**4 - 282*l**3 + 644*l**2 - 392*l = 0.
0, 1, 2, 14
Factor 2*s**3/13 + 20*s**2/13 + 14*s/13 - 36/13.
2*(s - 1)*(s + 2)*(s + 9)/13
Solve 2*z**2/3 + 34*z + 252 = 0.
-42, -9
Factor -5*q**5 + 15*q**4 - 20*q**2.
-5*q**2*(q - 2)**2*(q + 1)
Let o**3 - 81*o**2 + 1512*o - 8208 = 0. What is o?
12, 57
Solve 3*t**3 + 27*t**2 + 24*t = 0.
-8, -1, 0
Factor -750*u**5/7 - 2025*u**4/7 - 1710*u**3/7 - 84*u**2 - 72*u/7.
-3*u*(2*u + 3)*(5*u + 2)**3/7
Determine c so that -3*c**4/2 + 21*c**3/2 + 201*c**2/2 + 411*c/2 + 117 = 0.
-3, -2, -1, 13
Let -5*k**3 - 1360*k**2 - 2705*k - 1350 = 0. What is k?
-270, -1
Factor 4*u**3/3 - 12*u**2 + 92*u/3 - 20.
4*(u - 5)*(u - 3)*(u - 1)/3
Suppose y**4/2 - 9*y**3 - 3*y**2/2 + 28*y - 18 = 0. What is y?
-2, 1, 18
What is x in x**2/4 + 83*x/2 - 855/4 = 0?
-171, 5
Factor 4*x**3/5 + 16*x**2/5 - 164*x/5 + 144/5.
4*(x - 4)*(x - 1)*(x + 9)/5
Let -5*n**4 - 310*n**3 = 0. What is n?
-62, 0
Solve 2*o**2/3 + 2*o/3 - 4/3 = 0.
-2, 1
Determine i so that 4*i**5 - 276*i**4 + 1060*i**3 - 1308*i**2 + 520*i = 0.
0, 1, 2, 65
Suppose -14*b**2 - 208*b + 256 = 0. What is b?
-16, 8/7
Solve k**2 + 1358*k + 461041 = 0.
-679
Solve -5*l**3/4 + 17*l**2 - 273*l/4 + 171/2 = 0 for l.
3, 38/5
Factor g**2 + 24*g - 217.
(g - 7)*(g + 31)
Factor 3*x**3 - 3*x**2 - 3*x + 3.
3*(x - 1)**2*(x + 1)
Let -5*v**2 + 295*v = 0. What is v?
0, 59
Solve -b**2/2 + 102*b + 206 = 0 for b.
-2, 206
Factor 2*a**4 + 4*a**3 - 14*a**2 - 40*a - 24.
2*(a - 3)*(a + 1)*(a + 2)**2
Factor 5*a**4 - 140*a**3 - 155*a**2 + 290*a.
5*a*(a - 29)*(a - 1)*(a + 2)
Let -k**3/6 + 41*k**2/3 + 253*k/6 + 85/3 = 0. Calculate k.
-2, -1, 85
Factor -7*l**3 + 13*l**2 + 2*l.
-l*(l - 2)*(7*l + 1)
Factor -2*t**4/7 + 1292*t**3/7 - 207362*t**2/7 - 418608*t/7 - 209952/7.
-2*(t - 324)**2*(t + 1)**2/7
Factor 5*a**2 + 495*a - 4280.
5*(a - 8)*(a + 107)
Factor -m**2/4 + 3*m - 9.
-(m - 6)**2/4
Factor b**4/2 - 7*b**3/2 + 15*b**2/2 - 13*b/2 + 2.
(b - 4)*(b - 1)**3/2
Find z such that 10*z**4 + 94*z**3 - 170*z**2 + 66*z = 0.
-11, 0, 3/5, 1
Factor 4*h**2/7 + 34*h/7 - 60/7.
2*(h + 10)*(2*h - 3)/7
Find r such that -5*r**2/6 - 5*r/6 = 0.
-1, 0
Determine c, given that 8*c**4 + 70*c**3 + 94*c**2 - 28*c = 0.
-7, -2, 0, 1/4
Factor 2*y**5/9 + 22*y**4/9 + 4*y**3 - 4*y**2/9 - 38*y/9 - 2.
2*(y - 1)*(y + 1)**3*(y + 9)/9
Factor -3*t**4/7 - 87*t**3/7 - 855*t**2/7 - 3525*t/7 - 750.
-3*(t + 5)**3*(t + 14)/7
Solve -5*s**5 + 145*s**4 - 1105*s**3 + 1295*s**2 + 2550*s = 0 for s.
-1, 0, 3, 10, 17
What is d in 8*d**3 - 29*d**2 + 12*d + 9 = 0?
-3/8, 1, 3
Factor 2*g**3/17 + 14*g**2/17 - 2*g/17 - 14/17.
2*(g - 1)*(g + 1)*(g + 7)/17
Solve -6*p**3 + 2182*p**2 + 732*p - 1456 = 0.
-1, 2/3, 364
Factor -2*s**5/15 - 4*s**4/15 - 2*s**3/15.
-2*s**3*(s + 1)**2/15
Factor -4*z**4 - 132*z**3 - 576*z**2 - 448*z.
-4*z*(z + 1)*(z + 4)*(z + 28)
Let 2*t**2/5 - 134*t/5 - 568/5 = 0. What is t?
-4, 71
Factor -5*b**3 + 2625*b**2.
-5*b**2*(b - 525)
Find r such that 4*r**3 - 380*r**2 - 384*r = 0.
-1, 0, 96
Suppose 2*d**3 + 30*d**2 - 1188*d = 0. Calculate d.
-33, 0, 18
Factor -4*t**2 + 920*t - 1824.
-4*(t - 228)*(t - 2)
Let 3*j**5/2 + 39*j**4/2 + 69*j**3/2 + 33*j**2/2 = 0. What is j?
-11, -1, 0
Solve 3*m**5/7 - 24*m**4/7 - 18*m**3 - 204*m**2/7 - 141*m/7 - 36/7 = 0.
-1, 12
Factor 4*f**4/7 - 20*f**3/7 + 36*f**2/7 - 4*f + 8/7.
4*(f - 2)*(f - 1)**3/7
Find h such that -10*h**4 - 7655*h**3 - 1470705*h**2 - 2192680*h - 729620 = 0.
-382, -1, -1/2
Suppose -q**5 - 72*q**4 - 1366*q**3 - 2520*q**2 - 1225*q = 0. Calculate q.
-35, -1, 0
Solve -14*n**2 + 2798*n + 3216 = 0.
-8/7, 201
Factor -4*b**4 + 76*b**3 + 300*b**2 - 812*b + 440.
-4*(b - 22)*(b - 1)**2*(b + 5)
Factor -5*l**4 + 90*l**3 + 300*l**2 + 310*l + 105.
-5*(l - 21)*(l + 1)**3
What is u in 2*u**5 + 20*u**4 - 688*u**3 - 12640*u**2 - 66400*u - 88000 = 0?
-10, -2, 22
Factor s**2 - 23*s - 50.
(s - 25)*(s + 2)
Factor 4*b**4 + 370*b**3 + 8648*b**2 + 4232*b.
2*b*(b + 46)**2*(2*b + 1)
Factor 2*b**3 + 190*b**2 + 374*b + 186.
2*(b + 1)**2*(b + 93)
Determine d so that 4*d**2 - 108*d - 1296 = 0.
-9, 36
Factor s**3 + 23*s**2 - 24*s.
s*(s - 1)*(s + 24)
Determine m so that m**3 - 16*m**2 + 25*m + 42 = 0.
-1, 3, 14
Factor -5*v**3 + 3555*v**2 - 14160*v + 14140.
-5*(v - 707)*(v - 2)**2
Factor -5*i**3/3 + 255*i**2 - 12025*i + 485875/3.
-5*(i - 65)**2*(i - 23)/3
Factor -s**2 - 662*s - 109561.
-(s + 331)**2
Determine u so that -2*u**3/7 - 2836*u**2/7 + 1624*u - 11376/7 = 0.
-1422, 2
Factor 2*w**4 + 8*w**3 - 10*w**2.
2*w**2*(w - 1)*(w + 5)
Let -14*p**5/5 + 142*p**4/15 + 20*p**3/3 + 16