 0. What is k?
-19, 1, 4
Solve -21*r**5 - 2217*r**4 - 55767*r**3 + 144513*r**2 - 112752*r + 26244 = 0.
-54, 3/7, 1
Factor j**2 - 68*j - 140.
(j - 70)*(j + 2)
Find n such that 4*n**2 + 112*n + 640 = 0.
-20, -8
Factor -15*x**2/8 - 93*x/8 - 9/4.
-3*(x + 6)*(5*x + 1)/8
Factor -x**4 - 4*x**3 + 3*x**2 + 18*x.
-x*(x - 2)*(x + 3)**2
Find h such that -h**5/3 - 17*h**4/3 - 91*h**3/3 - 107*h**2/3 + 380*h/3 + 700/3 = 0.
-7, -5, -2, 2
Suppose -10*f**4/9 + 4*f**3/3 + 158*f**2/9 - 64*f/3 + 32/9 = 0. Calculate f.
-4, 1/5, 1, 4
Determine x, given that -3*x**2 + 33*x - 30 = 0.
1, 10
Determine z so that z**2/10 + 21*z/5 + 117/10 = 0.
-39, -3
Solve -a**5/4 - 237*a**4/4 - 19173*a**3/4 - 563255*a**2/4 - 1369599*a/2 = 0.
-77, -6, 0
Solve 2*u**2 - 678*u = 0 for u.
0, 339
Determine f so that 5*f**5 + 30*f**4 - 100*f**3 - 150*f**2 + 95*f + 120 = 0.
-8, -1, 1, 3
Factor 3*o**4/5 + o**3 + o**2/5 - o/5.
o*(o + 1)**2*(3*o - 1)/5
Factor -c**3/7 - c**2 + 4*c - 20/7.
-(c - 2)*(c - 1)*(c + 10)/7
Factor 4*v**3/3 - 256*v**2/3 - 1072*v/3 - 1088/3.
4*(v - 68)*(v + 2)**2/3
Find t, given that -61*t**3/6 - 19*t**2/2 + 2*t/3 = 0.
-1, 0, 4/61
Factor 4*t**2 + 8*t - 32.
4*(t - 2)*(t + 4)
Factor -2*u**2/7 + 800*u/7 + 1608/7.
-2*(u - 402)*(u + 2)/7
Factor -3*c**3/2 - 66*c**2 + 321*c/2 + 1035.
-3*(c - 5)*(c + 3)*(c + 46)/2
Solve -12*z**4 - 38*z**3 - 6*z**2 = 0.
-3, -1/6, 0
Suppose g**4/5 + 12*g**3/5 + 33*g**2/5 + 2*g/5 - 48/5 = 0. Calculate g.
-8, -3, -2, 1
Factor 25*r**4 - 105*r**3 + 54*r**2 + 100*r + 24.
(r - 3)*(r - 2)*(5*r + 2)**2
What is a in a**4/5 - 142*a**3/5 + 1008*a**2 + 142*a/5 - 5041/5 = 0?
-1, 1, 71
Factor 45*n**3/4 + 7*n**2 - 23*n/4 - 3/2.
(n + 1)*(5*n - 3)*(9*n + 2)/4
Factor j**3/4 + 5*j**2/2 + 4*j.
j*(j + 2)*(j + 8)/4
Determine o, given that -28*o**4 + 36*o**3 + 48*o**2 - 16*o = 0.
-1, 0, 2/7, 2
Factor -32*s**3 - 324*s**2 - 748*s - 456.
-4*(s + 1)*(s + 2)*(8*s + 57)
Find n, given that -10*n**3/9 + 34*n**2/9 - 32*n/9 + 8/9 = 0.
2/5, 1, 2
Let -1566*i**3/19 + 384*i**2/19 - 8*i/19 = 0. Calculate i.
0, 2/87, 2/9
Factor -28*z**3 + 32*z**2 + 48*z.
-4*z*(z - 2)*(7*z + 6)
Let -10*l**3 + 5*l**2 + 100*l - 140 = 0. Calculate l.
-7/2, 2
Solve -4*g**5 - 20*g**4 + 32*g**3 + 160*g**2 - 64*g - 320 = 0 for g.
-5, -2, 2
Determine v so that -v**3 - 138*v**2 + 141*v + 278 = 0.
-139, -1, 2
Solve 5*i**2 + 85*i + 210 = 0.
-14, -3
Factor 3*a**5 + 9*a**4 - 3*a**3 - 9*a**2.
3*a**2*(a - 1)*(a + 1)*(a + 3)
Suppose -4*m**3/5 + 187*m**2/5 + 47*m/5 = 0. Calculate m.
-1/4, 0, 47
Factor 2*a**2 - 242*a - 2340.
2*(a - 130)*(a + 9)
Determine v so that 18*v**4/7 + 248*v**3/7 - 362*v**2/7 - 472*v/7 + 120/7 = 0.
-15, -1, 2/9, 2
Factor x**4/2 - 3*x**3/2 - 27*x**2/2 + 135*x/2 - 81.
(x - 3)**3*(x + 6)/2
Find c, given that -2*c**5/17 - 18*c**4/17 + 110*c**3/17 + 282*c**2/17 - 1908*c/17 + 2160/17 = 0.
-12, -5, 2, 3
Factor -o**3/4 - 7*o**2/2 - 65*o/4 - 25.
-(o + 4)*(o + 5)**2/4
Factor 3*b**4/5 - 171*b**2/5 - 168*b/5.
3*b*(b - 8)*(b + 1)*(b + 7)/5
What is v in 2*v**3/15 + 38*v**2/15 - 82*v/15 + 14/5 = 0?
-21, 1
Find p, given that p**3/2 + 9*p**2/2 + 11*p/2 - 21/2 = 0.
-7, -3, 1
Determine k so that -2*k**4 - 8*k**3 - 6*k**2 + 8*k + 8 = 0.
-2, -1, 1
Suppose 145*f**2 + 5210*f - 360 = 0. Calculate f.
-36, 2/29
Factor -t**4/2 + 2878*t**3 - 6212163*t**2 + 5959535038*t - 4287885459841/2.
-(t - 1439)**4/2
Determine s, given that s**3/4 + 7*s**2/2 + 25*s/4 + 3 = 0.
-12, -1
Factor 3*f**3 + 9*f**2 - 18*f - 24.
3*(f - 2)*(f + 1)*(f + 4)
Let -2*i**4/3 + 80*i**3/3 - 312*i**2 + 864*i = 0. What is i?
0, 4, 18
What is d in -6*d**3 + 22*d**2 - 10*d - 6 = 0?
-1/3, 1, 3
Suppose 4*n**3 - 16*n**2 - 84*n = 0. Calculate n.
-3, 0, 7
What is x in 10*x**5 - 125*x**4 + 60*x**3 = 0?
0, 1/2, 12
Factor -5*g**4 - 50*g**3 + 5*g**2 + 50*g.
-5*g*(g - 1)*(g + 1)*(g + 10)
What is u in u**5/5 + 6*u**4/5 - 37*u**3/5 + 6*u**2 = 0?
-10, 0, 1, 3
Let -4*v**2 + 13896*v + 13900 = 0. Calculate v.
-1, 3475
Let -2*p**2/21 - 442*p/21 - 1136/7 = 0. Calculate p.
-213, -8
Solve -3*a**2/4 - 135*a - 6075 = 0 for a.
-90
Let v**4 - 11*v**3 + 26*v**2 - 16*v = 0. Calculate v.
0, 1, 2, 8
Determine n, given that -9*n**3/5 + 4*n**2 + 9*n/5 - 4 = 0.
-1, 1, 20/9
Solve -4*b**4 + 110*b**3/7 + 36*b**2/7 - 110*b/7 - 8/7 = 0 for b.
-1, -1/14, 1, 4
Let 5*w**5 - 80*w**4 + 135*w**3 + 80*w**2 - 140*w = 0. Calculate w.
-1, 0, 1, 2, 14
What is j in -15*j**4 - 155*j**3 - 415*j**2 - 25*j + 250 = 0?
-5, -1, 2/3
Find r such that -5*r**2 + 45*r + 260 = 0.
-4, 13
Suppose p**3/2 + p**2 = 0. Calculate p.
-2, 0
Suppose 2*f**2 - 160*f + 3200 = 0. Calculate f.
40
Factor 5*g**4/3 + 8*g**3/3 - 4*g**2/3.
g**2*(g + 2)*(5*g - 2)/3
Let -2*n**5/13 - 94*n**4/13 - 1206*n**3/13 - 4698*n**2/13 = 0. What is n?
-29, -9, 0
Factor -182*z**2 + 186*z - 4.
-2*(z - 1)*(91*z - 2)
Factor -l**2 + 10*l + 39.
-(l - 13)*(l + 3)
Solve 2*q**4/9 - 20*q**2/9 + 2 = 0 for q.
-3, -1, 1, 3
Factor -5*c**4 + 80*c**3 - 265*c**2 + 310*c - 120.
-5*(c - 12)*(c - 2)*(c - 1)**2
Factor -k**4/3 + 4*k**3/3 - 5*k**2/3 + 2*k/3.
-k*(k - 2)*(k - 1)**2/3
Solve -2*r**3 + 4*r**2 - 2*r = 0.
0, 1
Factor -x**4/5 - 17*x**3 + x**2/5 + 17*x.
-x*(x - 1)*(x + 1)*(x + 85)/5
Determine l, given that -11*l**5 + 948*l**4 - 1107*l**3 + 170*l**2 = 0.
0, 2/11, 1, 85
Solve 4*n**2/7 - 27464*n/7 + 47141956/7 = 0.
3433
Find x such that -2*x**4/17 - 26*x**3/17 - 82*x**2/17 - 94*x/17 - 36/17 = 0.
-9, -2, -1
Let -20*z**4 + 265*z**3 - 505*z**2 + 110*z = 0. Calculate z.
0, 1/4, 2, 11
Factor -3*y**2/2 - 15*y - 27/2.
-3*(y + 1)*(y + 9)/2
Factor 21*v**2 + 195*v + 54.
3*(v + 9)*(7*v + 2)
Solve -2*n**5 + 7*n**4/2 + 41*n**3/2 - 69*n**2/2 - 45*n/2 + 27 = 0 for n.
-3, -1, 3/4, 2, 3
Determine o, given that -o**2/2 + 155*o/2 + 157 = 0.
-2, 157
Factor -5*r**4 - 30*r**3 - 15*r**2 + 50*r.
-5*r*(r - 1)*(r + 2)*(r + 5)
Suppose -25*v**3/7 + 5870*v**2/7 - 4684*v/7 + 936/7 = 0. What is v?
2/5, 234
Factor -3*q**3/8 - 3*q**2 + 237*q/8 - 105/4.
-3*(q - 5)*(q - 1)*(q + 14)/8
Determine k, given that 2*k**5 - 4*k**4 + 2*k**3 = 0.
0, 1
Factor -3*h**2/8 - 3*h/4 - 3/8.
-3*(h + 1)**2/8
Factor -2*d**2/3 + 158*d/3 - 152.
-2*(d - 76)*(d - 3)/3
Suppose 2*x**2 - 608*x + 1806 = 0. What is x?
3, 301
Factor -4*g**4 - 200*g**3 - 2500*g**2.
-4*g**2*(g + 25)**2
Factor -5*g**4 - 125*g**3 + 710*g**2 - 1180*g + 600.
-5*(g - 2)**2*(g - 1)*(g + 30)
What is d in -3*d**3/2 - 30*d**2 - 72*d + 864 = 0?
-12, 4
Suppose 4*h**4 - 16*h**3 - 84*h**2 + 144*h + 432 = 0. Calculate h.
-3, -2, 3, 6
Determine l, given that 9*l**4 - 435*l**3 + 3216*l**2 + 2340*l = 0.
-2/3, 0, 10, 39
Solve j**5/7 - 9*j**4/7 - 26*j**3/7 + 36*j**2/7 + 88*j/7 = 0.
-2, 0, 2, 11
Suppose -p**4 - 37*p**3 - 36*p**2 = 0. What is p?
-36, -1, 0
Let -30*p**3 + 244*p**2 - 242*p + 28 = 0. What is p?
2/15, 1, 7
Factor 34*v**4/5 - 336*v**3/5 + 162*v**2 + 20*v.
2*v*(v - 5)**2*(17*v + 2)/5
Solve -27*m**4/5 - 2316*m**3/5 - 12579*m**2/5 - 1578*m + 480 = 0.
-80, -5, -1, 2/9
Factor 5*d**4 + 380*d**3 + 370*d**2 - 380*d - 375.
5*(d - 1)*(d + 1)**2*(d + 75)
Factor 2*r**3 + 108*r**2 + 1944*r + 11664.
2*(r + 18)**3
Suppose -4*u**5 - 8*u**4 + 276*u**3 - 1144*u**2 + 1840*u - 1056 = 0. Calculate u.
-11, 2, 3
Find f, given that -2*f**3/5 - 4*f**2/5 + 8*f/5 + 16/5 = 0.
-2, 2
Let -i**2 + 77*i - 76 = 0. What is i?
1, 76
Suppose -5*c**4 + 225*c**3 - 3375*c**2 + 16875*c = 0. Calculate c.
0, 15
Factor 3*t**4/5 + 21*t**3 + 864*t**2/5 - 972*t/5.
3*t*(t - 1)*(t + 18)**2/5
Factor 2*x**3/3 + 76*x**2/3 - 1358*x/3 + 5096/3.
2*(x - 7)**2*(x + 52)/3
Find a such that 9*a**3/7 - 6*a**2 + 9*a - 30/7 = 0.
1, 5/3, 2
Suppose -3*y**4 - 9*y**3 - 3*y**2 + 9*y + 6 = 0. Calculate y.
-2, -1, 1
Factor 3*r**3/2 - 48*r**2 + 675*r/2 - 621.
3*(r - 23)*(r - 6)*(r - 3)/2
Factor 125*r**4 + 700*r**3 + 330*r**2 - 220*r + 25.
5*(r + 1)*(r + 5)*(5*r - 1)**2
Suppose -6*l**5/13 - 8*l**4/13 + 4*l**3/13 + 8*l**2/13 + 2*l/13 = 0. Calculate l.
-1, -1/3, 0, 1
Factor 3*j**2 - 156*j + 2028.
3*(j - 26)**2
Let p**5/2 - 7*p**4 - 5*p**3/2 + 35*p**2 + 2*p - 28 = 0. What is p?
-2, -1, 1, 2, 14
Let p**3 + 44*p**2/3 + 100*p/3 + 16 = 0. What is p?
-12, -2, -2/3
Factor -2*j**4/9 + 38*j**2/9 + 20*j/3.
-2*j*(j - 5)*(j + 2)*(j + 3)/9
Solve -3*n**3 + 198*n**2 - 4356*n + 31944 = 0.
22
Factor 18*t**2/11 - 8*t/11.
2*t*(9*t - 4)/11
Factor -g**4 + 14*g**3 - 49*g**2.
-g**2*(g - 7)**2
What is b in 126*b**5 + 130*b**4 - 626*b**3 + 358*b**2 + 12*b = 0?