5*a**4 - 14*a**3 = 0.
-7, 0, 2
Determine a so that -5*a**3 - 150*a**2 - 1185*a - 1040 = 0.
-16, -13, -1
Determine w so that -2*w**4/7 - 38*w**3/7 = 0.
-19, 0
Factor 2*t**3/3 + 272*t**2/3 + 538*t/3 + 268/3.
2*(t + 1)**2*(t + 134)/3
Factor 4*h**2/3 - 92*h + 272/3.
4*(h - 68)*(h - 1)/3
Find d such that 2*d**4 + 18*d**3 - 6*d**2 - 50*d + 36 = 0.
-9, -2, 1
Factor 2*k**4 + 562*k**3 - 1146*k**2 - 3970*k - 2264.
2*(k - 4)*(k + 1)**2*(k + 283)
Factor 4*u**5 - 48*u**4 + 104*u**3 + 640*u**2 - 2700*u + 2000.
4*(u - 5)**3*(u - 1)*(u + 4)
Suppose -x**2 + 7*x + 8 = 0. Calculate x.
-1, 8
Factor -3*x**3 + 3*x**2.
-3*x**2*(x - 1)
Let -3*a**3/4 + 189*a**2/2 = 0. Calculate a.
0, 126
Factor h**5/6 - h**4/6 - 7*h**3.
h**3*(h - 7)*(h + 6)/6
Factor 5*y**2 - 105*y.
5*y*(y - 21)
Factor -a**4 + 23*a**3 - 180*a**2 + 592*a - 704.
-(a - 11)*(a - 4)**3
Factor -20328486084*v**4 + 3045466080*v**3 - 171093600*v**2 + 4272000*v - 40000.
-4*(267*v - 10)**4
Factor 2*i**3/9 - 64*i**2/9 - 134*i/9 - 68/9.
2*(i - 34)*(i + 1)**2/9
Solve -3*l**2/4 + 93*l/4 - 45/2 = 0.
1, 30
Suppose -2*d**3/17 + 586*d**2/17 - 42630*d/17 - 43218/17 = 0. Calculate d.
-1, 147
Solve -5*y**4 - 5*y**3 + 1040*y**2 - 5440*y = 0.
-17, 0, 8
Factor h**4/3 + 7*h**3 + 68*h**2/3.
h**2*(h + 4)*(h + 17)/3
Factor 5*x**2 - 19270*x + 18566645.
5*(x - 1927)**2
Find u, given that -20*u**5 - 40*u**4 + 1465*u**3 - 1390*u**2 - 365*u + 350 = 0.
-10, -1/2, 1/2, 1, 7
Factor 2*w**4/17 + 156*w**3/17 + 456*w**2/17 + 452*w/17 + 150/17.
2*(w + 1)**3*(w + 75)/17
Suppose -2*n**2/9 + 8*n/9 + 10/9 = 0. What is n?
-1, 5
Suppose -g**4/8 + 35*g**3/4 + 111*g**2/2 + 113*g + 76 = 0. Calculate g.
-2, 76
Factor 225*w**5/11 - 155*w**4/11 + 16*w**3/11 + 4*w**2/11.
w**2*(5*w - 2)**2*(9*w + 1)/11
Find f, given that -f**5/4 + 5*f**4/2 - 6*f**3 - 5*f**2/2 + 25*f/4 = 0.
-1, 0, 1, 5
Find p such that -4*p**4 - 36*p**3 - 112*p**2 - 144*p - 64 = 0.
-4, -2, -1
What is m in 3*m**4 - 117*m**3/5 + 51*m**2/5 + 153*m + 30 = 0?
-2, -1/5, 5
Factor -t**5/5 + 8*t**4/5 - 13*t**3/5 + 6*t**2/5.
-t**2*(t - 6)*(t - 1)**2/5
Determine u, given that -4*u**3 - 140*u**2 = 0.
-35, 0
Determine k so that -3*k**5/8 + 75*k**4/8 + 87*k**3/8 - 231*k**2/8 - 21*k/2 + 39/2 = 0.
-2, -1, 1, 26
Let -5*u**4 - 150*u**3 - 1175*u**2 - 2550*u - 1520 = 0. Calculate u.
-19, -8, -2, -1
Determine b, given that -2*b**3/9 + 76*b**2/9 + 2*b/9 - 76/9 = 0.
-1, 1, 38
Suppose 2*w**3/17 + 18*w**2/17 + 54*w/17 + 54/17 = 0. What is w?
-3
Factor -s**3/2 + 8*s**2 - 15*s/2.
-s*(s - 15)*(s - 1)/2
Let 2*p**5 + 76*p**4 + 972*p**3 + 4896*p**2 + 10530*p + 8100 = 0. What is p?
-15, -3, -2
What is d in -3*d**5 + 117*d**4 - 1680*d**3 + 10200*d**2 - 18000*d - 30000 = 0?
-1, 10
What is f in -4*f**4 + 16*f**3 - 16*f**2 = 0?
0, 2
Suppose p**5 - 6*p**4 + 50*p**2 - 81*p + 36 = 0. Calculate p.
-3, 1, 3, 4
Determine g, given that -10*g**5 - 58*g**4 - 38*g**3 + 250*g**2 + 312*g - 72 = 0.
-3, -2, 1/5, 2
Factor 8*q**3/13 + 1134*q**2/13 - 284*q/13.
2*q*(q + 142)*(4*q - 1)/13
Factor -686*z**3 - 26166*z**2 - 332682*z - 1409938.
-2*(7*z + 89)**3
Factor 2*g**3/11 + 608*g**2/11.
2*g**2*(g + 304)/11
Factor -2*l**2/3 - 166*l/3 + 56.
-2*(l - 1)*(l + 84)/3
Find d such that -d**2/4 + 30*d = 0.
0, 120
Factor w**4/4 - 29*w**3/2 + 14*w**2 + 29*w/2 - 57/4.
(w - 57)*(w - 1)**2*(w + 1)/4
Factor 4*j**2 + 1852*j + 7344.
4*(j + 4)*(j + 459)
Factor 1372*l**4/3 - 2156*l**3/3 - 168*l**2 + 720*l - 288.
4*(l + 1)*(7*l - 6)**3/3
Factor -2*d**5/5 - 12*d**4/5 - 18*d**3/5 - 8*d**2/5.
-2*d**2*(d + 1)**2*(d + 4)/5
Suppose 4*p**4/3 - 59*p**3/9 - 182*p**2/9 + 49*p/9 = 0. Calculate p.
-7/3, 0, 1/4, 7
Solve 2*v**2/9 - 356*v/3 + 15842 = 0 for v.
267
Let -7*h**5/8 + h**4/4 + 189*h**3/8 + 37*h**2 + 17*h/2 - 6 = 0. Calculate h.
-4, -1, 2/7, 6
Determine q so that -2*q**4 + 2*q**3 + 72*q**2 - 32*q - 640 = 0.
-4, 4, 5
Factor 3*a**3 - 11937*a**2 + 11868360*a + 11880300.
3*(a - 1990)**2*(a + 1)
Factor 4*r**4 - 64*r**3 - 12*r**2 + 2200*r + 3872.
4*(r - 11)**2*(r + 2)*(r + 4)
Find o, given that 4*o**4 + 4*o**3 - 32*o**2 - 48*o = 0.
-2, 0, 3
Factor l**4/2 + l**3/2 - 18*l**2 - 18*l.
l*(l - 6)*(l + 1)*(l + 6)/2
Factor 2*o**3/13 + 38*o**2/13 + 212*o/13 + 288/13.
2*(o + 2)*(o + 8)*(o + 9)/13
Let v**3/2 - 14*v**2 + 58*v + 176 = 0. Calculate v.
-2, 8, 22
Factor -3*c**4/2 - 9*c**3/2 + 3*c**2/2 + 9*c/2.
-3*c*(c - 1)*(c + 1)*(c + 3)/2
Suppose -v**5/7 + 4*v**4/7 = 0. Calculate v.
0, 4
Suppose -5*d**2 + 43330*d - 93874445 = 0. Calculate d.
4333
Determine t, given that -24*t**3/5 + 459*t**2/5 + 423*t/5 - 12 = 0.
-1, 1/8, 20
Find i, given that 35*i**4 + 430*i**3 + 435*i**2 - 680*i - 220 = 0.
-11, -2, -2/7, 1
Let 36*m**4 - 516*m**3 + 940*m**2 + 804*m + 144 = 0. Calculate m.
-1/3, 3, 12
Let 6*r**4 + 146*r**3 + 912*r**2 + 288*r = 0. Calculate r.
-12, -1/3, 0
Find b, given that -930*b**3 + 1535*b**2 + 2505*b + 40 = 0.
-1, -1/62, 8/3
What is n in 9*n**4 - 168*n**3 - 495*n**2 + 1158*n - 504 = 0?
-4, 2/3, 1, 21
Factor 2*w**4/3 - 20*w**3 + 86*w**2 - 200*w/3.
2*w*(w - 25)*(w - 4)*(w - 1)/3
Determine g so that -9*g**5 - 48*g**4 - 78*g**3 - 48*g**2 - 9*g = 0.
-3, -1, -1/3, 0
Factor -2*h**2/7 - 150*h/7.
-2*h*(h + 75)/7
Find f such that -2*f**2 + 1298*f - 1296 = 0.
1, 648
Suppose 3*w**5/2 + 6*w**4 - 39*w**3/2 - 6*w**2 + 18*w = 0. What is w?
-6, -1, 0, 1, 2
Determine g so that 3*g**5/4 + 9*g**4/4 - 3*g**3/4 - 33*g**2/4 - 9*g - 3 = 0.
-2, -1, 2
Determine n so that -2*n**2/11 - 7640*n/11 + 7642/11 = 0.
-3821, 1
Factor -4*f**3 + 12*f**2 + 16*f.
-4*f*(f - 4)*(f + 1)
Factor s**3/2 - 911*s**2 + 3638*s - 3636.
(s - 1818)*(s - 2)**2/2
Factor a**3 - 9*a**2 - 22*a.
a*(a - 11)*(a + 2)
Factor -2*b**2 - 68*b - 186.
-2*(b + 3)*(b + 31)
Suppose -o**5/3 + 16*o**4/3 - 29*o**3/3 + 14*o**2/3 = 0. Calculate o.
0, 1, 14
Factor -o**4 + 119*o**3 + 363*o**2 + 365*o + 122.
-(o - 122)*(o + 1)**3
Suppose 20*b**5 + 175*b**4 + 455*b**3 + 415*b**2 + 65*b - 50 = 0. What is b?
-5, -2, -1, 1/4
Find u such that -49*u**4 + 28*u**3 + 192*u**2 - 112*u + 16 = 0.
-2, 2/7, 2
Suppose k**5/6 + 2*k**4/3 - k**3/6 - 2*k**2/3 = 0. Calculate k.
-4, -1, 0, 1
Factor -3*r**4 + 33*r**3 + 216*r**2 + 372*r + 192.
-3*(r - 16)*(r + 1)*(r + 2)**2
Factor 2*q**2/15 - 448*q/3 + 125440/3.
2*(q - 560)**2/15
Let -3*d**3/4 + 9*d/4 - 3/2 = 0. Calculate d.
-2, 1
Suppose 5*k**3 + 505*k**2 + 13000*k + 12500 = 0. What is k?
-50, -1
Determine d, given that 5*d**2 - 155*d - 510 = 0.
-3, 34
Let -2*o**5 - 42*o**4 - 148*o**3 - 212*o**2 - 138*o - 34 = 0. What is o?
-17, -1
Suppose 21*k**3/4 + 27*k**2/4 + 3*k/2 = 0. Calculate k.
-1, -2/7, 0
Factor -301*a**2/6 - 101*a/2 - 1/3.
-(a + 1)*(301*a + 2)/6
Find s such that -s**2 - 4187*s/4 + 1047/4 = 0.
-1047, 1/4
Let -2*o**5/7 - 24*o**4/7 + 20*o**3/7 + 240*o**2/7 - 18*o/7 - 216/7 = 0. What is o?
-12, -3, -1, 1, 3
Factor -2*h**4 + 54*h**3 - 436*h**2 + 960*h - 576.
-2*(h - 12)**2*(h - 2)*(h - 1)
Factor 3*r**2 + 9*r.
3*r*(r + 3)
Determine o so that -o**5/10 + 23*o**4/10 - 119*o**3/10 - 167*o**2/10 + 12*o + 72/5 = 0.
-1, 1, 12
Suppose n**4 + 22*n**3/3 + 7*n**2/3 = 0. Calculate n.
-7, -1/3, 0
Determine u so that -4*u**2 + 12024*u - 12020 = 0.
1, 3005
Factor -2*p**2/7 - 2712*p/7 - 919368/7.
-2*(p + 678)**2/7
Suppose t**5/2 - t**4 + t**2 - t/2 = 0. What is t?
-1, 0, 1
Factor 2*t**3 + 2814*t**2 + 1319766*t + 206323418.
2*(t + 469)**3
Factor -4*q**4 + 168*q**3 - 160*q**2 - 168*q + 164.
-4*(q - 41)*(q - 1)**2*(q + 1)
Factor -2*j**3 + 30*j**2 + 234*j + 378.
-2*(j - 21)*(j + 3)**2
Suppose -2*n**5/3 - 32*n**4/3 - 8*n**3 + 92*n**2/3 + 26*n/3 - 20 = 0. Calculate n.
-15, -2, -1, 1
Find q such that -3*q**3 + 84*q**2 - 663*q + 1014 = 0.
2, 13
Factor -3*h**5 + 114*h**4 - 324*h**3 + 318*h**2 - 105*h.
-3*h*(h - 35)*(h - 1)**3
Factor -u**2/2 - 9*u - 16.
-(u + 2)*(u + 16)/2
Suppose h**4 + 3*h**3 - h**2 - 3*h = 0. What is h?
-3, -1, 0, 1
Suppose -m**4 + 15*m**3 + 17*m**2 - 15*m - 16 = 0. What is m?
-1, 1, 16
Solve f**4/6 - 2*f**3/3 - 7*f**2/2 - 2*f/3 + 14/3 = 0 for f.
-2, 1, 7
Find a, given that -a**2 - 15*a = 0.
-15, 0
Factor -2*v**2 - 280*v - 9800.
-2*(v + 70)**2
Solve 4*u**5 - 24*u**4 + 48*u**3 - 40*u**2 + 12*u = 0.
0, 1, 3
Suppose 2*f**3/7 - 16*f**2/7 - 38*f/7 - 20/7 = 0. What is f?
-1, 10
Solve 2*m**5 + 17*m**4 - 141*m**3 + 178*m**2 - 56*m = 0 for m.
-14, 0, 1/2, 1, 4
Solve -51*l**4 - 312*l**3 + 15*l**2 + 312*l + 36 = 0.
-6, -1, -2/17, 1
Let 3*x**