Factor -2*f**2/11 + 68*f/11 - 240/11.
-2*(f - 30)*(f - 4)/11
Solve -3*h**3/2 - 627*h**2/2 - 1509*h + 4284 = 0.
-204, -7, 2
What is t in 4*t**2/7 - 328*t/7 = 0?
0, 82
Factor -2*d**2/13 + 8*d/13 + 42/13.
-2*(d - 7)*(d + 3)/13
Suppose 3*i**3 - 9*i**2 - 3*i + 9 = 0. Calculate i.
-1, 1, 3
Factor -4*v**3 - 20*v**2 - 12*v + 36.
-4*(v - 1)*(v + 3)**2
Solve 112*p**4 - 340*p**3 - 2012*p**2 + 96*p + 144 = 0.
-3, -1/4, 2/7, 6
Solve b**2/3 - 93*b - 280/3 = 0 for b.
-1, 280
Determine u, given that -2*u**4 - 14*u**3 + 8*u**2 + 104*u - 96 = 0.
-6, -4, 1, 2
Let 20*y**5 - 268*y**4 - 216*y**3 + 688*y**2 - 224*y = 0. Calculate y.
-2, 0, 2/5, 1, 14
Let 16*h**3 - 58*h**2/13 + 4*h/13 = 0. What is h?
0, 1/8, 2/13
Solve -2*o**3 - 152*o**2 + 2*o + 152 = 0.
-76, -1, 1
Determine r so that 3*r**4/4 - 57*r**3/2 - 369*r**2/4 = 0.
-3, 0, 41
Determine i, given that -98*i**3 + 201642*i**2 - 115200*i + 16456 = 0.
2/7, 2057
Factor -2*g**3 - 41*g**2/2 + 913*g + 459/2.
-(g - 17)*(g + 27)*(4*g + 1)/2
Factor -w**5/3 + 77*w**4 - 18434*w**3/3 + 554852*w**2/3 - 1259480*w + 3241792/3.
-(w - 74)**3*(w - 8)*(w - 1)/3
Suppose -2*a**3/9 + 32*a**2/9 + 26*a/3 - 12 = 0. Calculate a.
-3, 1, 18
Factor -9*s**2/4 + 13*s + 3.
-(s - 6)*(9*s + 2)/4
Factor -v**2 + 17*v.
-v*(v - 17)
Factor -4*t**5 + 40*t**4 + 96*t**3.
-4*t**3*(t - 12)*(t + 2)
Let 5*a**5/2 - 3*a**4/2 - 9*a**3 + 8*a**2 = 0. Calculate a.
-2, 0, 1, 8/5
Find v such that -2*v**4 + 2*v**3/3 + 14*v**2 - 50*v/3 + 4 = 0.
-3, 1/3, 1, 2
Determine j so that -529*j**4/9 + 1012*j**3/3 - 438*j**2 - 132*j - 9 = 0.
-3/23, 3
Find p such that -p**2/2 - 153*p/2 + 77 = 0.
-154, 1
Factor 4*g**2 + 124*g.
4*g*(g + 31)
Factor -5*o**3 - 65*o**2 - 235*o - 175.
-5*(o + 1)*(o + 5)*(o + 7)
Suppose 2*o**5 + 8*o**4 + 8*o**3 - 4*o**2 - 10*o - 4 = 0. What is o?
-2, -1, 1
Suppose -2*f**4/9 - 22*f**3/9 + 16*f**2 - 248*f/9 + 128/9 = 0. What is f?
-16, 1, 2
Let 2*l**3 + 48*l**2 + 162*l - 532 = 0. Calculate l.
-19, -7, 2
Factor -k**2/4 - 14*k + 60.
-(k - 4)*(k + 60)/4
Factor -n**2/2 - 17*n + 35/2.
-(n - 1)*(n + 35)/2
Factor 2*z**2/7 - 760*z/7 + 216.
2*(z - 378)*(z - 2)/7
Solve 3*z**3 + 1271*z**2 + 2112*z + 844 = 0 for z.
-422, -1, -2/3
Determine j, given that j**4/4 - j**3/2 - 3*j**2/4 + 2*j - 1 = 0.
-2, 1, 2
Determine p so that 3*p**2 - 6744*p + 13476 = 0.
2, 2246
Find u, given that 4*u**2 - 11056*u + 7639696 = 0.
1382
Let -2*l**4/17 + 118*l**3/17 - 1908*l**2/17 + 4928*l/17 - 3136/17 = 0. What is l?
1, 2, 28
Solve -4*m**4/9 + 2*m**3 - 28*m**2/9 + 2*m - 4/9 = 0.
1/2, 1, 2
Suppose 12*t**5 - 76*t**4 + 132*t**3 - 84*t**2 + 16*t = 0. Calculate t.
0, 1/3, 1, 4
Factor 3*m**3 + 9*m**2 - 27*m + 15.
3*(m - 1)**2*(m + 5)
What is b in -b**5/3 + 4*b**3/3 + 2*b**2/3 - b - 2/3 = 0?
-1, 1, 2
Find j such that 2*j**2/5 - 288*j/5 - 58 = 0.
-1, 145
Solve 3*b**3/4 + 105*b**2/2 + 609*b/4 + 201/2 = 0 for b.
-67, -2, -1
Factor 5*h**4 - 200*h**3 - 230*h**2 + 1040*h - 615.
5*(h - 41)*(h - 1)**2*(h + 3)
Suppose 2*p**5/5 - 42*p**4/5 - 302*p**3/5 - 582*p**2/5 - 324*p/5 = 0. Calculate p.
-3, -2, -1, 0, 27
Factor -2*a**4/5 - 1024*a**3 - 655360*a**2.
-2*a**2*(a + 1280)**2/5
Factor 5*g**4 + 50*g**3 + 135*g**2 + 90*g.
5*g*(g + 1)*(g + 3)*(g + 6)
Determine l so that -4*l**2 - 3912*l = 0.
-978, 0
Factor n**2 - 70*n + 384.
(n - 64)*(n - 6)
Factor -r**2/2 - 189*r/2 + 95.
-(r - 1)*(r + 190)/2
Suppose -2*x**2 + 164*x - 3200 = 0. What is x?
32, 50
What is s in -7*s**5 - 54*s**4 + 3250*s**3 + 53284*s**2 + 217437*s - 66550 = 0?
-11, 2/7, 25
Factor -5*a**3 - 50*a**2 - 45*a.
-5*a*(a + 1)*(a + 9)
What is s in 2*s**4/13 - 268*s**3/13 + 11888*s**2/13 - 13764*s + 12870 = 0?
1, 39, 55
Determine k, given that -20*k**3 - 116*k**2 - 160*k - 64 = 0.
-4, -1, -4/5
Factor 2*o**2/5 - 232*o/5.
2*o*(o - 116)/5
Find l such that -4*l**4 + 102*l**3 + 52*l**2 = 0.
-1/2, 0, 26
Find q, given that -q**3 + 49*q = 0.
-7, 0, 7
Determine c, given that c**2/7 + 11*c/7 - 12/7 = 0.
-12, 1
Factor 9*j**3/4 - 3*j**2 + j.
j*(3*j - 2)**2/4
Find k such that 2*k**5/5 - 56*k**4/5 - 6*k**3/5 + 172*k**2/5 - 112*k/5 = 0.
-2, 0, 1, 28
Find z, given that 335*z**3 + 4010*z**2 - 4475*z + 130 = 0.
-13, 2/67, 1
Factor -d**4 + 7*d**3 - 14*d**2 + 8*d.
-d*(d - 4)*(d - 2)*(d - 1)
Find r such that -20*r**5 - 36*r**4 + 28*r**3 + 36*r**2 - 8*r = 0.
-2, -1, 0, 1/5, 1
Factor -o**4/2 + 79*o**3/2 + 123*o**2 + 2*o - 164.
-(o - 82)*(o - 1)*(o + 2)**2/2
Factor 3*r**2 + 138*r + 1224.
3*(r + 12)*(r + 34)
Solve -w**5 + 96*w**4 = 0.
0, 96
Let -20*k**4/3 - 232*k**3/3 + 132*k**2 + 400*k/3 - 208/3 = 0. Calculate k.
-13, -1, 2/5, 2
Factor p**3 + 18*p**2.
p**2*(p + 18)
Factor 2*y**2/9 - 242*y/9 - 244/9.
2*(y - 122)*(y + 1)/9
Suppose 2*k**4/17 - 20002*k**3/17 + 66673332*k**2/17 - 74051834072*k/17 - 74118527408/17 = 0. What is k?
-1, 3334
Suppose -5*q**3 - 5340*q**2 + 10695*q - 5350 = 0. Calculate q.
-1070, 1
Determine h, given that -2*h**2/15 + 208*h/15 = 0.
0, 104
Find d, given that 14*d**4 + 284*d**3 + 1018*d**2 + 940*d + 192 = 0.
-16, -3, -1, -2/7
Factor -12*v**2 + 297*v + 75.
-3*(v - 25)*(4*v + 1)
Factor -3*p**4/7 - 297*p**3/7 + 1236*p**2/7.
-3*p**2*(p - 4)*(p + 103)/7
Let v**4 - 7*v**2 + 6*v = 0. Calculate v.
-3, 0, 1, 2
Factor -r**4/6 + 51*r**3/2 + r**2/6 - 51*r/2.
-r*(r - 153)*(r - 1)*(r + 1)/6
Factor -340*y**2 + 1368*y - 32.
-4*(y - 4)*(85*y - 2)
Solve 3*x**2/2 - 27*x/2 = 0 for x.
0, 9
Find k such that -2*k**2 + 154*k + 156 = 0.
-1, 78
Factor -29791*u**4/4 + 13454*u**3 + 2790*u**2 + 184*u + 4.
-(u - 2)*(31*u + 2)**3/4
Determine f so that -f**2/2 - 3116*f - 4854728 = 0.
-3116
Factor 5*k**2 - 13*k/3 - 2/3.
(k - 1)*(15*k + 2)/3
Determine q, given that q**2/2 + 1692*q = 0.
-3384, 0
Solve 99*v**2 - 6*v = 0.
0, 2/33
Factor 21*n**2/2 + 90*n + 48.
3*(n + 8)*(7*n + 4)/2
Determine m, given that -m**2 + 173*m - 172 = 0.
1, 172
Let 9*r**2 + 2019*r + 672 = 0. Calculate r.
-224, -1/3
Determine z, given that -2*z**3/5 - 26*z**2/5 + 8*z/5 + 104/5 = 0.
-13, -2, 2
Factor 4*b**2 - 1048*b.
4*b*(b - 262)
Factor -5*a**3 - 1535*a**2.
-5*a**2*(a + 307)
Suppose -3*i**3 + 9*i**2 + 54*i - 120 = 0. What is i?
-4, 2, 5
Factor 2*x**2/9 + 104*x/3 + 616/9.
2*(x + 2)*(x + 154)/9
Suppose 4*x**5/3 + 64*x**4/3 - 36*x**3 - 888*x**2 + 3456*x - 3456 = 0. What is x?
-12, 2, 3
Let -u**3/2 - 4297*u**2/2 - 2309100*u - 2306952 = 0. Calculate u.
-2148, -1
Solve -2*c**2/3 + 4*c/3 + 2 = 0 for c.
-1, 3
Solve 4*h**2 + 6088*h + 2316484 = 0.
-761
What is z in 113*z**5/5 - 46*z**4 - 557*z**3/5 + 698*z**2/5 - 24*z/5 = 0?
-2, 0, 4/113, 1, 3
Let -p**2/6 + 37*p + 228 = 0. Calculate p.
-6, 228
Let -14*g**5/3 - 32*g**4/3 + 2*g**3 + 32*g**2/3 + 8*g/3 = 0. Calculate g.
-2, -1, -2/7, 0, 1
Factor -z**4/4 - 33*z**3/2 - 1209*z**2/4 - 961*z.
-z*(z + 4)*(z + 31)**2/4
Suppose -2*m**2/7 - 222*m/7 + 5240/7 = 0. Calculate m.
-131, 20
Suppose -5*g**3 + 5735*g**2 - 5730*g = 0. Calculate g.
0, 1, 1146
Factor -2*j**3/15 - 6*j**2/5 - 28*j/15 + 16/5.
-2*(j - 1)*(j + 4)*(j + 6)/15
Suppose 2*x**3/3 - 11*x**2/6 - 19*x/6 - 2/3 = 0. Calculate x.
-1, -1/4, 4
Factor -8*q**3 - 356*q**2 + 548*q - 184.
-4*(q - 1)*(q + 46)*(2*q - 1)
Let -t**3 + 82*t**2 + t - 82 = 0. Calculate t.
-1, 1, 82
Find f, given that -3*f**4 + 456*f**3 - 20592*f**2 + 248064*f - 887808 = 0.
8, 68
Suppose -4*b**3/7 - 276*b**2/7 + 1780*b/7 - 1500/7 = 0. What is b?
-75, 1, 5
Solve -5*i**5 + 70*i**4 - 190*i**3 - 160*i**2 + 555*i + 450 = 0.
-1, 3, 10
Factor 2*q**2/7 - 468*q/7 + 27378/7.
2*(q - 117)**2/7
Let 4*o**5/3 + 88*o**4/3 + 204*o**3 + 1744*o**2/3 + 1984*o/3 + 256 = 0. Calculate o.
-12, -4, -1
Factor -5*m**4/6 + 5*m**3/6 + 40*m**2/3 + 50*m/3.
-5*m*(m - 5)*(m + 2)**2/6
Determine k so that k**5/3 + 28*k**4/3 - 61*k**3/3 - 28*k**2/3 + 20*k = 0.
-30, -1, 0, 1, 2
Factor -g**2/6 - 23*g/3.
-g*(g + 46)/6
Factor -1682*i**3/17 + 1392*i**2/17 + 198*i + 68.
-2*(i - 2)*(29*i + 17)**2/17
Find x such that -x**5/5 - 4*x**4/5 - 4*x**3/5 + 2*x**2/5 + x + 2/5 = 0.
-2, -1, 1
Factor 2*r**2 + 52*r + 138.
2*(r + 3)*(r + 23)
Determine u so that -2*u**2/7 + 26*u/7 = 0.
0, 13
Factor -2*i**4/9 - 2*i**3/9 + 2*i**2/3 + 10*i/9 + 4/9.
-2*(i - 2)*(i + 1)**3/9
Factor 3*j**2 + 15*j - 1008.
3*(j - 16)*(j + 21)
Factor -m**5/4 + 3*m**3/4 + m**2/2.
-m**2*(m - 2)*(m + 1)**2/4
Determine w so that w**3/4 - w**2/4 - 3*w = 0.
-3, 0, 4
Factor 2*h**4/15 + 86*h**3/15.
2*h**3*(h + 43)/15
Find o such that -5*o**4 + 30*o**2 + 40*o + 1