*2 - 10434*a - 9072363.
-3*(a + 1739)**2
Suppose 4*g**4 - 32*g**3 + 28*g**2 = 0. What is g?
0, 1, 7
Suppose -4*t**3 + 700*t**2 + 1412*t + 708 = 0. Calculate t.
-1, 177
Factor -q**2/3 + 4*q/3 + 20.
-(q - 10)*(q + 6)/3
Factor -18*k**3/17 - 6006*k**2/17 + 8032*k/17 - 2680/17.
-2*(k + 335)*(3*k - 2)**2/17
Factor v**3/5 + 5*v**2 + 119*v/5 + 19.
(v + 1)*(v + 5)*(v + 19)/5
Find v, given that -4*v**5 - 52*v**4 - 92*v**3 - 44*v**2 = 0.
-11, -1, 0
Find c, given that 2*c**3/13 + 6*c**2/13 - 92*c/13 - 96/13 = 0.
-8, -1, 6
Factor -4*i**3/5 + 84*i**2/5 - 156*i/5 + 76/5.
-4*(i - 19)*(i - 1)**2/5
Let 2*x**4/9 + 908*x**3/9 + 33742*x**2/3 - 415864*x/9 + 419528/9 = 0. What is x?
-229, 2
Let -27*g**5 + 102*g**4 + 24*g**3 - 432*g**2 + 336*g + 96 = 0. Calculate g.
-2, -2/9, 2
Suppose k**2/2 - 5*k/2 + 3 = 0. What is k?
2, 3
Find u such that u**4/10 + u**3/5 - 3*u**2/10 = 0.
-3, 0, 1
Let -10*j**5/19 + 36*j**4/19 - 2*j**3 + 12*j**2/19 = 0. Calculate j.
0, 3/5, 1, 2
Solve -2*m**4/5 - 36*m**3/5 - 24*m**2/5 + 164*m/5 - 102/5 = 0 for m.
-17, -3, 1
Factor 5*k**2 - 820*k - 2505.
5*(k - 167)*(k + 3)
Let 5*t**3 - 365*t**2 + 360*t = 0. What is t?
0, 1, 72
Factor -r**3/6 + 78*r**2 + 469*r/6.
-r*(r - 469)*(r + 1)/6
Let -c**3/5 - 9*c**2/5 - 4*c - 12/5 = 0. Calculate c.
-6, -2, -1
Find x, given that 2*x**5/15 - 4*x**4/15 = 0.
0, 2
Solve -3*v**2 + 45*v - 162 = 0 for v.
6, 9
Suppose -f**2/5 + 62*f/5 - 952/5 = 0. Calculate f.
28, 34
Find k such that k**3 + 3*k**2/7 - 234*k/7 = 0.
-6, 0, 39/7
Solve -3*s**2/5 + 9*s/5 + 54/5 = 0.
-3, 6
Suppose 5*i**4 + 145*i**3 + 975*i**2 - 1125*i = 0. Calculate i.
-15, 0, 1
Factor -20*g**5 - 76*g**4 - 108*g**3 - 68*g**2 - 16*g.
-4*g*(g + 1)**3*(5*g + 4)
Solve 3*m**4/5 - 261*m**3/5 + 1008*m**2/5 - 996*m/5 = 0.
0, 2, 83
Factor -2*w**4 + 46*w**3 - 378*w**2 + 1274*w - 1372.
-2*(w - 7)**3*(w - 2)
Factor -m**2 + 45*m + 46.
-(m - 46)*(m + 1)
Factor 12*t**3 - 192*t**2 - 201*t - 51.
3*(t - 17)*(2*t + 1)**2
Let -2*i**5/7 - 11*i**4/7 - 11*i**3/7 + i**2 + 13*i/7 + 4/7 = 0. Calculate i.
-4, -1, -1/2, 1
Factor w**2 + 30*w + 209.
(w + 11)*(w + 19)
Let -4*h**2/9 + 80*h/9 + 176/9 = 0. Calculate h.
-2, 22
Factor -2*h**2 + 94*h - 1092.
-2*(h - 26)*(h - 21)
Factor 3*f**2/4 - 15*f/2 + 75/4.
3*(f - 5)**2/4
Suppose k**2/2 - 13*k + 24 = 0. What is k?
2, 24
Find m such that 3*m**2/2 - 15*m/2 - 9 = 0.
-1, 6
Determine l so that 14*l**2 - 12*l - 2 = 0.
-1/7, 1
Solve 3*t**3/2 - 753*t**2/2 - 1515*t/2 - 759/2 = 0 for t.
-1, 253
Suppose -4*l**3/9 - 32*l**2/9 + 20*l/3 + 24 = 0. Calculate l.
-9, -2, 3
Solve j**4 - 22*j**3 + 93*j**2 + 360*j - 432 = 0.
-3, 1, 12
What is z in -2*z**5/7 - 318*z**4/7 - 12798*z**3/7 - 12482*z**2/7 = 0?
-79, -1, 0
Determine h so that 32*h**5 + 344*h**4 + 228*h**3 - 124*h**2 - 40*h = 0.
-10, -1, -1/4, 0, 1/2
Suppose -2*r**5/9 + 26*r**4/3 - 992*r**3/9 + 1544*r**2/3 - 8960*r/9 + 2048/3 = 0. What is r?
2, 3, 16
Factor 2*s**2/11 - 8772*s/11 + 9618498/11.
2*(s - 2193)**2/11
Suppose 3*k**4 + 39*k**3 + 153*k**2 + 105*k - 300 = 0. Calculate k.
-5, -4, 1
Let -4*i**4/5 + 20*i**3 - 572*i**2/5 - 676*i/5 = 0. What is i?
-1, 0, 13
Factor -4*w**3 + 128*w**2 + 272*w.
-4*w*(w - 34)*(w + 2)
Let -2*y**4 - 30*y**3 - 98*y**2 + 30*y + 100 = 0. What is y?
-10, -5, -1, 1
Suppose 3*k**3 - 162*k**2 - 525*k + 684 = 0. What is k?
-4, 1, 57
Factor -2*k**4/7 + 34*k**3/7 - 90*k**2/7 + 86*k/7 - 4.
-2*(k - 14)*(k - 1)**3/7
Factor v**2 + 5481*v + 5480.
(v + 1)*(v + 5480)
Suppose -4*y**3 + 860*y**2 + 4384*y + 3520 = 0. What is y?
-4, -1, 220
Suppose -2*f**2/3 - 1144*f/3 - 163592/3 = 0. Calculate f.
-286
Solve 18*d**4/7 - 192*d**3/7 + 80*d**2/7 + 384*d/7 + 160/7 = 0 for d.
-2/3, 2, 10
Factor i**3 + 12*i**2 + 29*i + 18.
(i + 1)*(i + 2)*(i + 9)
Factor 3*n**5/4 + 6*n**4 + 9*n**3.
3*n**3*(n + 2)*(n + 6)/4
What is r in -25*r**2 + 10060*r - 4020 = 0?
2/5, 402
Suppose 10*p**3 + 72*p**2 + 14*p = 0. Calculate p.
-7, -1/5, 0
Factor -2*u**3/11 - 32*u**2/11 - 104*u/11 - 96/11.
-2*(u + 2)**2*(u + 12)/11
Solve 20*o**5 - 415*o**4 - 5925*o**3 + 11365*o**2 - 3395*o - 1650 = 0.
-11, -1/4, 1, 30
Find y, given that -9*y**4 + 3*y**3 + 27*y**2 - 27*y + 6 = 0.
-2, 1/3, 1
Factor -n**2/3 + 24*n - 432.
-(n - 36)**2/3
Suppose -5*y**5 + 40*y**4 - 125*y**3 + 190*y**2 - 140*y + 40 = 0. What is y?
1, 2
Let 2*x**4/13 - 100*x**3/13 - 102*x**2/13 = 0. Calculate x.
-1, 0, 51
Find n, given that 15*n**5 + 445*n**4 - 5670*n**3 + 20560*n**2 - 25440*n + 6400 = 0.
-40, 1/3, 2, 4
Factor -3*n**4 + 1185*n**3 - 157950*n**2 + 7351500*n - 32955000.
-3*(n - 130)**3*(n - 5)
Find b such that -2*b**2/13 - 320*b/13 = 0.
-160, 0
Factor 10*f**2 - 8*f - 24.
2*(f - 2)*(5*f + 6)
Factor 5*b**3 - 480*b**2 + 12420*b - 42320.
5*(b - 46)**2*(b - 4)
Find a, given that 16*a**5/5 + 64*a**4 - 1868*a**3/5 + 644*a**2 - 1984*a/5 + 80 = 0.
-25, 1/2, 2
Factor -k**2/6 + 17*k/3 - 11/2.
-(k - 33)*(k - 1)/6
Let -q**3/3 + 4*q**2/3 = 0. Calculate q.
0, 4
Factor -v**4/2 + 9*v**3 - 61*v**2/2 - 90*v - 50.
-(v - 10)**2*(v + 1)**2/2
Suppose 4*m**5 + 96*m**4 + 216*m**3 - 4320*m**2 + 8100*m = 0. What is m?
-15, 0, 3
Suppose v**2/3 - 349*v/3 + 694/3 = 0. Calculate v.
2, 347
Find k such that -3*k**2 + 4433*k - 2954 = 0.
2/3, 1477
Suppose -8*s**5 + 50*s**4 - 44*s**3 - 40*s**2 + 52*s - 10 = 0. Calculate s.
-1, 1/4, 1, 5
Solve 2*f**3/17 - 8*f**2/17 - 40*f/17 + 96/17 = 0.
-4, 2, 6
Find s, given that -3*s**3 - 657*s**2 - 47961*s - 1167051 = 0.
-73
Factor 2*l**2/13 - 42*l/13.
2*l*(l - 21)/13
Let 5*y**4 - 25*y**3 + 30*y**2 + 20*y - 40 = 0. Calculate y.
-1, 2
Factor 20*m**3 - 32*m**2 - 16*m.
4*m*(m - 2)*(5*m + 2)
Find k such that -k**4/4 - 13*k**3/4 + 5*k**2 + 21*k = 0.
-14, -2, 0, 3
Factor d**2 - 37*d/5 - 24/5.
(d - 8)*(5*d + 3)/5
Suppose 2*m**4 - 58*m**3 + 136*m**2 + 520*m = 0. Calculate m.
-2, 0, 5, 26
Factor 3*l**5 + 3*l**4 - 39*l**3 - 75*l**2 - 36*l.
3*l*(l - 4)*(l + 1)**2*(l + 3)
Factor -w**3 - 79*w**2 - 230*w - 152.
-(w + 1)*(w + 2)*(w + 76)
Factor -2*l**2/11 + 380*l/11 - 752/11.
-2*(l - 188)*(l - 2)/11
Determine s, given that -12*s**3/7 - 111*s**2 + 141*s - 198/7 = 0.
-66, 1/4, 1
Factor -o**3 + 287*o**2 - 20448*o - 20736.
-(o - 144)**2*(o + 1)
Solve 2*c**2/7 + 228*c/7 - 230/7 = 0.
-115, 1
Determine y, given that -y**3 + 35*y**2 - 242*y + 208 = 0.
1, 8, 26
What is s in -2*s**4/11 - 6*s**3/11 - 6*s**2/11 - 2*s/11 = 0?
-1, 0
Factor i**5/2 + 5*i**4/2 + 3*i**3 - i**2 - 7*i/2 - 3/2.
(i - 1)*(i + 1)**3*(i + 3)/2
Find o such that 5*o**4 - 194*o**3 + 1956*o**2 - 1406*o - 361 = 0.
-1/5, 1, 19
Let 4*i**3/5 - 64*i**2/5 - 20*i + 320 = 0. What is i?
-5, 5, 16
Find b, given that -8*b**5 + 224*b**4 - 394*b**3 - 566*b**2 - 156*b = 0.
-1/2, 0, 3, 26
What is k in -4*k**2 + 4744*k - 1406596 = 0?
593
Factor 3*g**4/2 + 9*g**3/2 - 3*g**2/2 - 9*g/2.
3*g*(g - 1)*(g + 1)*(g + 3)/2
Let 2*c**4/3 + 58*c**3/3 - 122*c**2/3 + 62*c/3 = 0. Calculate c.
-31, 0, 1
Let -2*f**2/5 + 482*f/5 - 1428/5 = 0. Calculate f.
3, 238
Suppose 2*l**4 - 632*l**3 + 1884*l**2 - 1880*l + 626 = 0. What is l?
1, 313
Factor -21*p**3/2 + 233*p**2/2 - 11*p.
-p*(p - 11)*(21*p - 2)/2
Let -2*u**3 + 46*u**2 - 86*u + 42 = 0. Calculate u.
1, 21
Factor 20*g**4 - 152*g**3 - 244*g**2 - 72*g.
4*g*(g - 9)*(g + 1)*(5*g + 2)
Find j such that 4*j**5/3 + 46*j**4/3 - 8*j**3/3 - 776*j**2/3 + 1408*j/3 - 512/3 = 0.
-8, 1/2, 2
Suppose p**2/3 - 13*p/3 + 40/3 = 0. What is p?
5, 8
Let 4*t**2 + 296*t + 576 = 0. Calculate t.
-72, -2
Factor 5*y**2/4 + 175*y/2 - 780.
5*(y - 8)*(y + 78)/4
Factor i**2 - 314*i + 24649.
(i - 157)**2
Factor -2*s**3 + 560*s**2 - 1114*s + 556.
-2*(s - 278)*(s - 1)**2
Factor -34*h**5/5 + 20*h**4 - 96*h**3/5 + 28*h**2/5 + 2*h/5.
-2*h*(h - 1)**3*(17*h + 1)/5
Factor 4*f**4 - 19*f**3 + 7*f**2 + 39*f + 9.
(f - 3)**2*(f + 1)*(4*f + 1)
Find g, given that 3*g**2 - 90*g + 375 = 0.
5, 25
Factor 2*l**3/5 + 114*l**2/5 + 222*l/5 + 22.
2*(l + 1)**2*(l + 55)/5
Find w, given that -5*w**3 - 315*w**2 - 6240*w - 39680 = 0.
-31, -16
Factor -2*v**4/7 - 44*v**3/7 - 194*v**2/7 + 528*v/7 - 288/7.
-2*(v - 1)**2*(v + 12)**2/7
Factor 3*l**4 - 12*l**3 - 18*l**2 + 12*l + 15.
3*(l - 5)*(l - 1)*(l + 1)**2
Suppose -3*h**3 + 63*h**2 + 648*h + 1392 = 0. What is h?
-4, 29
Factor -p**2/3 - 800*p/3 - 160000/3.
-(p + 400)**2/3
Factor -z**3 - 64*z**2 + 415*z - 350.
-(z - 5)*(z - 1)*(z + 70)
Solve 2*z**3/3 + 4*z**2 + 6*z + 8/3 = 0 for z.
-4, -1
Suppose -3*u**2/7 + 36*u/7 + 