3 - 24534*w/13 - 12266/13 = 0.
-6133, -1
Suppose -q**4 + 128*q**3 - 251*q**2 - 128*q + 252 = 0. Calculate q.
-1, 1, 2, 126
Factor c**3 - 21*c**2 - 100*c.
c*(c - 25)*(c + 4)
Let 2*z**3/5 + 2*z**2 + 16*z/5 + 8/5 = 0. What is z?
-2, -1
Find d, given that 5*d**2 - 350*d + 6125 = 0.
35
Factor -3*c**4 + 9*c**3 + 18*c**2 - 84*c + 72.
-3*(c - 2)**3*(c + 3)
Solve -2*b**5/3 + 16*b**3 - 128*b**2/3 + 32*b = 0.
-6, 0, 2
What is w in -2*w**2/3 + 28*w + 192 = 0?
-6, 48
Factor -2*b**4 + 12*b**3 - 10*b**2.
-2*b**2*(b - 5)*(b - 1)
Factor 2*g**2 + 28*g.
2*g*(g + 14)
Let -q**4 - 31*q**3 - 222*q**2 - 544*q - 352 = 0. Calculate q.
-22, -4, -1
Factor -5*k**4/4 + 25*k**3 + 165*k**2/2 + 85*k + 115/4.
-5*(k - 23)*(k + 1)**3/4
Factor 2*f**2/7 + 8*f/7 - 6.
2*(f - 3)*(f + 7)/7
What is g in -3*g**2/2 - 1419*g/4 - 2115/4 = 0?
-235, -3/2
Factor 3*v**3 - 15*v**2 - 3*v + 15.
3*(v - 5)*(v - 1)*(v + 1)
Determine y so that y**3 - 112*y**2 + 221*y - 110 = 0.
1, 110
Factor -2*f**2/9 + 26*f.
-2*f*(f - 117)/9
Factor -2*q**4 + 92*q**3 + 2*q**2 - 92*q.
-2*q*(q - 46)*(q - 1)*(q + 1)
Determine g so that -5*g**3 - 30*g**2 + 75*g - 40 = 0.
-8, 1
Factor -4*a**4 + 224*a**3 - 1176*a**2 - 54880*a - 240100.
-4*(a - 35)**2*(a + 7)**2
Solve -4*b**3 + 16*b**2 + 4*b - 16 = 0.
-1, 1, 4
Factor -8*l**2/13 + 126*l/13 - 90/13.
-2*(l - 15)*(4*l - 3)/13
Factor n**2 - 115*n - 234.
(n - 117)*(n + 2)
Suppose -74*f**3 - 225*f**2 + 731*f + 30 = 0. What is f?
-5, -3/74, 2
Factor 3*k**2 - 108*k + 972.
3*(k - 18)**2
Factor -2*v**3/9 - 536*v**2/9 - 36442*v/9 - 70756/9.
-2*(v + 2)*(v + 133)**2/9
Factor -3*p**2/8 - 255*p/8.
-3*p*(p + 85)/8
Let -2*v**2/9 + 1312*v/9 - 215168/9 = 0. Calculate v.
328
Solve j**5 + 4*j**4 + 5*j**3 + 2*j**2 = 0.
-2, -1, 0
Determine u so that -15*u**5/7 - 156*u**4/7 - 255*u**3/7 + 282*u**2/7 + 144*u/7 = 0.
-8, -3, -2/5, 0, 1
Let -f**3/4 + 39*f**2/4 - 55*f/2 + 18 = 0. What is f?
1, 2, 36
Factor 2*g**2/11 - 10*g/11 - 12/11.
2*(g - 6)*(g + 1)/11
Factor -42*b**3/5 - 81*b**2/5 - 36*b/5 + 3/5.
-3*(b + 1)**2*(14*b - 1)/5
Factor 50*k**4/13 - 254*k**3 + 54582*k**2/13 - 2178*k/13.
2*k*(k - 33)**2*(25*k - 1)/13
Find g, given that -2*g**3/9 - 22*g**2/3 + 452*g/9 - 208/3 = 0.
-39, 2, 4
Factor 5*g**4 - 525*g**3 + 13485*g**2 + 17225*g - 84270.
5*(g - 53)**2*(g - 2)*(g + 3)
Solve l**4 + 9*l**3 - 25*l**2 - 33*l = 0 for l.
-11, -1, 0, 3
Factor -2*f**2/15 + 2*f/15 + 4/15.
-2*(f - 2)*(f + 1)/15
Solve -2*u**2/9 + 98*u - 1756/9 = 0.
2, 439
Solve -18*l**5 + 456*l**4 + 3100*l**3 + 1912*l**2 + 310*l = 0 for l.
-5, -1/3, 0, 31
Factor 4*h**5 + 296*h**4 + 7492*h**3 + 69408*h**2 + 117504*h + 55296.
4*(h + 1)**2*(h + 24)**3
Factor -3*n**2/8 + 39*n/8 - 9/2.
-3*(n - 12)*(n - 1)/8
Factor 18*w**3 - 35*w**2 - 2*w.
w*(w - 2)*(18*w + 1)
Factor f**5/2 + 65*f**4 + 4825*f**3/2 + 19500*f**2 + 45000*f.
f*(f + 5)**2*(f + 60)**2/2
Solve 2*d**3 + 536*d**2/5 + 838*d/5 + 312/5 = 0.
-52, -1, -3/5
Factor -x**5/4 + x**3/2 - x/4.
-x*(x - 1)**2*(x + 1)**2/4
Factor -7*v**4 + 8*v**3 - v**2.
-v**2*(v - 1)*(7*v - 1)
Factor -2*g**3/5 + 58*g**2/5 + 122*g/5 + 62/5.
-2*(g - 31)*(g + 1)**2/5
Factor 4*r**2/5 + 88*r + 2420.
4*(r + 55)**2/5
Factor 3*g**3 - 522*g**2 - 3*g + 522.
3*(g - 174)*(g - 1)*(g + 1)
Determine x so that -2*x**2/3 - 2800*x/3 - 980000/3 = 0.
-700
Factor -2*x**3/15 - 2*x**2 - 42*x/5 - 54/5.
-2*(x + 3)**2*(x + 9)/15
Let 28*j**4 - 1248*j**3 + 2876*j**2 + 6168*j + 2016 = 0. Calculate j.
-1, -3/7, 4, 42
Find s such that s**2/3 + 5*s/3 = 0.
-5, 0
Factor -m**4/9 - 2017*m**3/9 + 673*m**2 - 6059*m/9 + 2020/9.
-(m - 1)**3*(m + 2020)/9
Solve -3*q**2 + 119*q/2 + 10 = 0 for q.
-1/6, 20
What is z in 2*z**3/7 + 34*z**2/7 + 18*z - 162/7 = 0?
-9, 1
Suppose -2*r**3/5 + 1238*r**2/5 + 1244*r/5 - 496 = 0. What is r?
-2, 1, 620
Factor 7*r**4/4 - 93*r**3/4 - 46*r**2 + 15*r.
r*(r - 15)*(r + 2)*(7*r - 2)/4
Suppose -4*s**5/11 + 14*s**4/11 + 4*s**3/11 - 26*s**2/11 - 12*s/11 = 0. Calculate s.
-1, -1/2, 0, 2, 3
Factor 2*v**4/9 + 8*v**3/3 + 58*v**2/9 + 4*v.
2*v*(v + 1)*(v + 2)*(v + 9)/9
Solve l**4/6 - 65*l**3/3 + 1451*l**2/2 - 4160*l/3 + 2048/3 = 0 for l.
1, 64
What is f in -4*f**2 + 208*f + 660 = 0?
-3, 55
What is r in -2*r**2/5 - 316*r/5 - 314/5 = 0?
-157, -1
Factor -w**4 - 7*w**3 + 183*w**2 - 805*w + 950.
-(w - 5)**2*(w - 2)*(w + 19)
Factor 5*w**2 + 60*w + 160.
5*(w + 4)*(w + 8)
Factor -12*f**4/5 + 128*f**3/5 + 44*f**2/5.
-4*f**2*(f - 11)*(3*f + 1)/5
Factor -3*p**3 + 81*p**2 + 12*p - 324.
-3*(p - 27)*(p - 2)*(p + 2)
What is b in -b**5 - 82*b**4 - 1833*b**3 - 6084*b**2 = 0?
-39, -4, 0
Determine o so that 33*o**4/7 - 2019*o**3/7 + 14886*o**2/7 - 30624*o/7 + 5088/7 = 0.
2/11, 4, 53
Factor 20*r**3 - 128*r**2 - 92*r + 56.
4*(r - 7)*(r + 1)*(5*r - 2)
Factor -3*d**4/2 + 21*d**3 - 90*d**2 + 108*d.
-3*d*(d - 6)**2*(d - 2)/2
Find p, given that p**4 - 18*p**3 - p**2 + 18*p = 0.
-1, 0, 1, 18
Find t such that -t**4/4 + 13*t**3 + 81*t**2/2 + 41*t + 55/4 = 0.
-1, 55
Factor -2*y**2/3 - 32*y/3 + 24.
-2*(y - 2)*(y + 18)/3
Factor -3*c**2 + 489*c - 486.
-3*(c - 162)*(c - 1)
Factor -b**5/3 + 37*b**4/3 - 156*b**3 + 720*b**2 - 576*b.
-b*(b - 12)**3*(b - 1)/3
Find a, given that -18*a**3/5 + 188*a**2/5 - 106*a + 40 = 0.
4/9, 5
Determine p, given that 7*p**5 + 43*p**4/4 - 71*p**3 - 399*p**2/4 + 72*p + 27 = 0.
-3, -2, -2/7, 3/4, 3
Factor 4*n**3 - 361*n**2 + 8190*n - 2025.
(n - 45)**2*(4*n - 1)
Find v such that 6*v**5 + 44*v**4 - 4*v**3/3 - 296*v**2/3 + 178*v/3 - 28/3 = 0.
-7, -2, 1/3, 1
Find a, given that -65*a**2/3 + 280*a + 65/3 = 0.
-1/13, 13
Factor -u**2/6 + 1246*u/3 - 776258/3.
-(u - 1246)**2/6
Determine g, given that -28*g**3/17 + 2662*g**2/17 - 190*g/17 = 0.
0, 1/14, 95
Determine x so that -5*x**4 - 10*x**3 + 55*x**2 + 60*x = 0.
-4, -1, 0, 3
Determine d so that d**2/7 + 6*d/7 + 9/7 = 0.
-3
What is n in -n**3/5 + 8*n**2/5 - 12*n/5 = 0?
0, 2, 6
Suppose q**4/3 + 8*q**3/3 + 4*q**2 = 0. Calculate q.
-6, -2, 0
Factor -2*m**2/7 + 312*m/7 - 310/7.
-2*(m - 155)*(m - 1)/7
Solve -5*n**5 + 20*n**4 - 5*n**3 - 70*n**2 + 100*n - 40 = 0 for n.
-2, 1, 2
Factor -3*k**3/4 + 171*k**2/4 + 363*k/4 - 531/4.
-3*(k - 59)*(k - 1)*(k + 3)/4
Factor 2*x**3 + 140*x**2 + 2146*x - 10952.
2*(x - 4)*(x + 37)**2
Factor -3*l**3 + 12*l**2 + 45*l - 54.
-3*(l - 6)*(l - 1)*(l + 3)
Solve -9*v**4/4 - 25*v**3/4 - 21*v**2/4 - 3*v/4 + 1/2 = 0.
-1, 2/9
Suppose 5*r**3 + 38*r**2 - 16*r = 0. Calculate r.
-8, 0, 2/5
Determine a, given that a**5 - 163*a**4/4 - 111*a**3/2 + 481*a**2/4 + 239*a + 105 = 0.
-5/4, -1, 2, 42
Let -v**5 - 10*v**4 - 27*v**3 - 2*v**2 + 40*v = 0. What is v?
-5, -4, -2, 0, 1
Find y such that 13*y**4/5 + 951*y**3/5 + 401*y**2 + 1209*y/5 + 142/5 = 0.
-71, -1, -2/13
Factor i**3 + 306*i**2 + 31212*i + 1061208.
(i + 102)**3
Factor -3*z**2/5 - 36324*z/5 - 109952748/5.
-3*(z + 6054)**2/5
Solve -2*s**3 + 90*s**2 + 186*s + 94 = 0.
-1, 47
Suppose -4*b**3 - 392*b**2 - 9200*b + 20000 = 0. Calculate b.
-50, 2
Factor -i**4/10 - 61*i**3/2 - 15453*i**2/5 - 514998*i/5 + 530604/5.
-(i - 1)*(i + 102)**3/10
Suppose -8*l**4 - 76*l**3 - 84*l**2 + 104*l + 64 = 0. Calculate l.
-8, -2, -1/2, 1
Find a such that -3*a**3/2 + 36*a**2 + 153*a/2 + 39 = 0.
-1, 26
Factor -2*u**5/3 - 28*u**4/3 - 50*u**3/3 - 8*u**2.
-2*u**2*(u + 1)**2*(u + 12)/3
Factor -2197*r**4 - 18252*r**3 - 50544*r**2 - 46656*r.
-r*(13*r + 36)**3
Find l, given that -4*l**2 - 2144*l - 10620 = 0.
-531, -5
Factor 2*x**2/11 + 78*x/11.
2*x*(x + 39)/11
Let 2*v**2/3 - 68*v/3 + 62 = 0. Calculate v.
3, 31
Determine g so that g**2/4 - 35*g/2 + 901/4 = 0.
17, 53
Factor -2*i**2/3 - 60*i - 1350.
-2*(i + 45)**2/3
What is v in 2*v**4/11 + 8*v**3 + 1206*v**2/11 + 4536*v/11 - 5832/11 = 0?
-18, -9, 1
What is v in -3*v**4 + 36*v**3 - 147*v**2 + 234*v - 120 = 0?
1, 2, 4, 5
What is p in -3*p**5 + 171*p**4 - 2433*p**3 + 13509*p**2 - 30072*p + 22932 = 0?
2, 7, 39
Determine f so that f**4 + 60*f**3 + 899*f**2 - 60*f - 900 = 0.
-30, -1, 1
Factor -3*y**3 - 555*y**2 - 24225*y + 135375.
-3*(y - 5)*(y + 95)**2
Solve -2*x**5/9 - 52*x**4/9 - 410*x**3/9 - 760*x**2/9 + 1672*x/9 + 3872/9 = 0 for x.
-11, -4, -2, 2
Find s such that s**5/3 + 10*s**4/3 - 68*s**3/3 + 34*s**2 - 15*s = 0.
-15, 0, 1, 3
Solve -2*y**3 + 392*y**2 - 778*y + 388 = 0.
1, 194
Factor a**2/6 + 505*a/6 - 253/3.
(a - 1)*(a + 506)/6
Find n such that 3*n**2 + 12*n - 63 = 0.
-7, 3
What is h in 15*h**5 - 20*h**4 - 70*h**3 - 20*h**2 + 15*h =