ve -2*f**4 - 30*f**3 + 230*f**2 - 450*f + 252 = 0.
-21, 1, 2, 3
Find v, given that 2*v**2/11 - 38*v/11 + 36/11 = 0.
1, 18
Solve 2*a**3/5 - 52*a**2/5 + 56*a + 784/5 = 0.
-2, 14
Let -5*w**4 - 20*w**3 + 5*w**2 + 80*w + 60 = 0. Calculate w.
-3, -2, -1, 2
Find y, given that -5*y**2 - 4020*y - 808020 = 0.
-402
Suppose -2*g**5/3 + 14*g**4 - 100*g**3 + 832*g**2/3 - 256*g = 0. Calculate g.
0, 2, 3, 8
Let 12*t**3/11 + 694*t**2/11 + 52*t + 114/11 = 0. What is t?
-57, -1/2, -1/3
Suppose x**5/2 + 413*x**4 + 170569*x**3/2 = 0. What is x?
-413, 0
Factor -5*n**4 + 65*n**2 + 60*n.
-5*n*(n - 4)*(n + 1)*(n + 3)
Find k, given that -4*k**3 + 13896*k**2 - 16091568*k + 6211345248 = 0.
1158
Factor -5*l**2 + 21250*l - 22578125.
-5*(l - 2125)**2
Suppose -2*l**2/3 + 110*l/3 + 244 = 0. Calculate l.
-6, 61
Solve 20*c**2 - 124*c/7 + 24/7 = 0 for c.
2/7, 3/5
Solve 5*r**2 + 570*r + 16245 = 0.
-57
Factor -3*p**2/4 - 9*p/4 + 3.
-3*(p - 1)*(p + 4)/4
Determine r so that -3*r**5 - 30*r**4 + 54*r**3 + 228*r**2 - 51*r - 198 = 0.
-11, -2, -1, 1, 3
Factor -5*p**2 - 2930*p + 2935.
-5*(p - 1)*(p + 587)
Find y, given that y**3 - 276*y**2 + 25392*y - 778688 = 0.
92
Factor -1083*d**5 - 1197*d**4 - 117*d**3 - 3*d**2.
-3*d**2*(d + 1)*(19*d + 1)**2
Let -3*b**2 - 24*b - 21 = 0. What is b?
-7, -1
Determine w, given that 2*w**4/15 + 14*w**3/15 + 6*w**2/5 - 14*w/15 - 4/3 = 0.
-5, -2, -1, 1
Determine h so that h**2/4 + 41*h/2 + 1681/4 = 0.
-41
Factor -2*v**2/3 - 188*v/3 + 190/3.
-2*(v - 1)*(v + 95)/3
Factor -5*u**2 + 92*u + 57.
-(u - 19)*(5*u + 3)
Factor 3*g**3 - 183*g**2 + 180*g.
3*g*(g - 60)*(g - 1)
Factor -5*r**4 - 3385*r**3 + 6785*r**2 - 3395*r.
-5*r*(r - 1)**2*(r + 679)
Let 3*o**2/4 - 147*o/2 = 0. Calculate o.
0, 98
Factor -5*v**3 + 10*v**2 + 65*v + 50.
-5*(v - 5)*(v + 1)*(v + 2)
What is v in -12*v**4/7 - 5140*v**3/7 - 556364*v**2/7 - 1273740*v/7 - 362952/7 = 0?
-213, -2, -1/3
Factor v**2/5 + 59*v/5 - 122/5.
(v - 2)*(v + 61)/5
Find f, given that -4*f**3 - 16*f**2 + 112*f - 128 = 0.
-8, 2
Solve 3*i**3/5 - 5433*i**2/5 + 492501*i - 491415 = 0 for i.
1, 905
Factor n**2/5 - 52*n + 3380.
(n - 130)**2/5
Factor 49*c**4 - 511*c**3 + 578*c**2 + 460*c + 72.
(c - 9)*(c - 2)*(7*c + 2)**2
Solve -12*g**3/7 - 1432*g**2/7 - 42240*g/7 + 28800/7 = 0.
-60, 2/3
Factor -245*x**2 + 6580*x - 44180.
-5*(7*x - 94)**2
Determine b, given that -756*b**5 - 615*b**4 + 201*b**3 + 48*b**2 - 12*b = 0.
-1, -2/7, 0, 2/9, 1/4
Suppose -2*k**5/3 - 10*k**4/3 + 4*k**3/3 + 16*k**2 = 0. What is k?
-4, -3, 0, 2
Let -p**2/9 - 214*p/3 - 11449 = 0. Calculate p.
-321
Let -d**2/8 - 969*d/8 + 485/4 = 0. What is d?
-970, 1
Factor -f**2/4 - 4324*f - 18696976.
-(f + 8648)**2/4
Factor 2*m**2/13 + 8084*m/13 - 622.
2*(m - 1)*(m + 4043)/13
Factor 2*x**4/7 - 4*x**3.
2*x**3*(x - 14)/7
Factor -50*w**3/3 - 70*w**2/3 - 22*w/3 - 2/3.
-2*(w + 1)*(5*w + 1)**2/3
Determine h, given that 2*h**2/23 + 3552*h/23 + 1577088/23 = 0.
-888
Suppose 2*c**4/21 + 108*c**3/7 + 830*c**2/7 + 4016*c/21 + 88 = 0. Calculate c.
-154, -6, -1
Factor -5*g**5/2 + 55*g**4 + 120*g**3.
-5*g**3*(g - 24)*(g + 2)/2
Factor -100*d**3 - 1615*d**2 - 240*d.
-5*d*(d + 16)*(20*d + 3)
Suppose -2*j**5/5 - 16*j**4/5 + 8*j**3 - 4*j**2/5 - 38*j/5 + 4 = 0. Calculate j.
-10, -1, 1
Factor -5*q**3 + 880*q**2 - 4305*q + 5130.
-5*(q - 171)*(q - 3)*(q - 2)
Let 320*y**5 + 3168*y**4 + 2676*y**3 + 764*y**2 + 72*y = 0. Calculate y.
-9, -2/5, -1/4, 0
Determine i so that 3*i**3/8 + 3*i**2 - 57*i/8 + 15/4 = 0.
-10, 1
Solve -2*l**3/7 - 50*l**2 - 16766*l/7 - 124002/7 = 0.
-83, -9
Let -d**4/4 - 27*d**3/2 - 103*d**2/4 + 27*d/2 + 26 = 0. What is d?
-52, -2, -1, 1
Factor 5*v**3 + 15*v**2 + 15*v + 5.
5*(v + 1)**3
What is g in -5*g**2 - 560*g - 15680 = 0?
-56
Factor n**4/4 + 5*n**3/2 + 13*n**2/4 - 15*n + 9.
(n - 1)**2*(n + 6)**2/4
Solve 5*a**3 - 30*a**2 - 80*a = 0.
-2, 0, 8
Factor s**3/7 - 4*s**2/7 - s/7 + 4/7.
(s - 4)*(s - 1)*(s + 1)/7
Suppose -4*a**2/3 + 172*a/3 + 184 = 0. What is a?
-3, 46
Factor -2*f**5 - 10*f**4 - 14*f**3 - 6*f**2.
-2*f**2*(f + 1)**2*(f + 3)
Determine v, given that -v**4/5 + 19*v**3/5 - 114*v**2/5 + 224*v/5 - 128/5 = 0.
1, 2, 8
Determine s, given that -s**2 + 957*s - 956 = 0.
1, 956
Let b**3/3 - 4*b**2/3 - 28*b/3 - 32/3 = 0. What is b?
-2, 8
Find n, given that 4*n**2 + 96*n + 576 = 0.
-12
Factor -2*s**5/9 + 16*s**4/9 - 32*s**3/9.
-2*s**3*(s - 4)**2/9
Suppose 4*d**5/3 + 4*d**4 - 56*d**3 + 400*d**2/3 - 96*d = 0. Calculate d.
-9, 0, 2
Factor -5*a**2 - 272*a - 108.
-(a + 54)*(5*a + 2)
Factor -64*w**2/5 + 1104*w/5 - 4761/5.
-(8*w - 69)**2/5
Find t, given that t**2/4 - 10*t + 175/4 = 0.
5, 35
Factor 4*b**5 - 704*b**4 - 5052*b**3 - 13096*b**2 - 14608*b - 5856.
4*(b - 183)*(b + 1)*(b + 2)**3
Let -2*r**5/7 + 166*r**4/7 - 470*r**3/7 - 806*r**2/7 + 472*r/7 + 640/7 = 0. What is r?
-1, 1, 4, 80
Factor -16*l**4 + 17*l**3 + 15*l**2 - 17*l + 1.
-(l - 1)**2*(l + 1)*(16*l - 1)
Suppose z**2/3 + 5*z/3 - 2 = 0. Calculate z.
-6, 1
Factor m**2/12 + 7*m/6 - 95/12.
(m - 5)*(m + 19)/12
Find a such that 2*a**2/3 + 110*a/3 - 112/3 = 0.
-56, 1
Let 4*w**4 + 48*w**3 + 117*w**2 + 83*w + 18 = 0. Calculate w.
-9, -2, -1/2
Suppose 3*j**3/5 + 477*j**2/5 + 474*j/5 = 0. Calculate j.
-158, -1, 0
Suppose 3*a**4 + 18*a**3 - 60*a**2 - 450*a - 375 = 0. Calculate a.
-5, -1, 5
Factor -12*t**2 + 2450*t - 408.
-2*(t - 204)*(6*t - 1)
Factor -x**3/4 - 75*x**2/4 - 1443*x/4 - 1369/4.
-(x + 1)*(x + 37)**2/4
Find l, given that 28*l**2 + 22*l - 6 = 0.
-1, 3/14
Suppose 8*t**4 - 68*t**3 - 84*t**2 + 68*t + 76 = 0. Calculate t.
-1, 1, 19/2
Let 22*f**3/5 + 128*f**2/5 + 174*f/5 - 36/5 = 0. Calculate f.
-3, 2/11
Factor -4*n**2 - 12*n - 8.
-4*(n + 1)*(n + 2)
Solve l**4 - 90*l**3 - 747*l**2 + 124740*l + 1920996 = 0 for l.
-21, 66
Factor 2*c**3 + 118*c**2 + 1798*c + 1682.
2*(c + 1)*(c + 29)**2
Factor -5*n**2 - 12240*n - 7490880.
-5*(n + 1224)**2
Factor 3*u**2/4 - 15*u/2 + 12.
3*(u - 8)*(u - 2)/4
Determine r, given that -3*r**2 + 294*r - 7203 = 0.
49
Factor -6*w**4/7 + 6*w**3/7 + 24*w**2/7 - 24*w/7.
-6*w*(w - 2)*(w - 1)*(w + 2)/7
Factor -20*s**3 + 85*s**2 + 220*s - 60.
-5*(s - 6)*(s + 2)*(4*s - 1)
Factor -180*r**4 - 420*r**3 - 125*r**2 - 10*r.
-5*r*(r + 2)*(6*r + 1)**2
Factor -2*h**4 + 22*h**3 - 44*h**2 - 120*h + 144.
-2*(h - 6)**2*(h - 1)*(h + 2)
Suppose -3*x**5 + 33*x**3 - 54*x**2 + 24*x = 0. What is x?
-4, 0, 1, 2
Let g**2/4 - 115*g + 13225 = 0. Calculate g.
230
Solve 2*m**2 + 26*m + 44 = 0.
-11, -2
Let -6*y**4/17 - 58*y**3/17 + 86*y**2/17 - 22*y/17 = 0. Calculate y.
-11, 0, 1/3, 1
Factor -d**4 + 142*d**3 - 4897*d**2 - 10224*d - 5184.
-(d - 72)**2*(d + 1)**2
Let y**4 - 16*y**3 - y**2 + 16*y = 0. Calculate y.
-1, 0, 1, 16
Solve g**5 - 8*g**4 + 11*g**3 + 20*g**2 = 0.
-1, 0, 4, 5
Solve -2*q**3 - 182*q**2 + 1970*q - 5050 = 0 for q.
-101, 5
Suppose -2*m**2 - 31*m - 15 = 0. What is m?
-15, -1/2
Solve 3*q**2/8 - 291*q/2 + 28227/2 = 0.
194
Determine g so that -2*g**3/3 - 50*g**2/3 + 224*g/3 - 232/3 = 0.
-29, 2
Factor -g**5 - 36*g**4 - 486*g**3 - 2916*g**2 - 6561*g.
-g*(g + 9)**4
Suppose -3*t**3/7 - 1794*t**2/7 - 269988*t/7 - 532824/7 = 0. Calculate t.
-298, -2
Factor 5*i**2 + 55*i + 50.
5*(i + 1)*(i + 10)
Factor s**5/8 + s**4/8 - 7*s**3/8 - 13*s**2/8 - 3*s/4.
s*(s - 3)*(s + 1)**2*(s + 2)/8
What is a in -a**5 - 125*a**4 - 608*a**3 - 964*a**2 - 480*a = 0?
-120, -2, -1, 0
Find m such that m**5/8 + 11*m**4/8 + 5*m**3 + 11*m**2/2 - 4*m - 8 = 0.
-4, -2, 1
Factor 2*n**4 + 12*n**3 - 2*n**2 - 12*n.
2*n*(n - 1)*(n + 1)*(n + 6)
Factor t**4/2 - 59*t**3/2 + 57*t**2/2 + 59*t/2 - 29.
(t - 58)*(t - 1)**2*(t + 1)/2
Solve -9*l**4 - 444*l**3 - 141*l**2 + 294*l = 0.
-49, -1, 0, 2/3
Factor 5*v**3 + 1270*v**2 + 3775*v + 2510.
5*(v + 1)*(v + 2)*(v + 251)
Let 2*v**2/3 + 20*v/3 - 16 = 0. What is v?
-12, 2
Factor 5*h**3 + 440*h**2 + 9535*h + 9100.
5*(h + 1)*(h + 35)*(h + 52)
What is w in 4*w**5 + 140*w**4 - 12*w**3 - 412*w**2 + 280*w = 0?
-35, -2, 0, 1
Factor -s**2/3 + 88*s/3 + 60.
-(s - 90)*(s + 2)/3
Solve 2*u**2/11 - 62*u/11 + 116/11 = 0 for u.
2, 29
Solve 9*p**4 - 78*p**3 - 36*p**2 + 78*p + 27 = 0.
-1, -1/3, 1, 9
What is h in 2*h**4/7 + 236*h**3/7 + 7418*h**2/7 + 26904*h/7 + 25992/7 = 0?
-57, -2
What is q in -3*q**4/2 - 15*q**3 - 87*q**2/2 - 48*q - 18 = 0?
-6, -2, -1
Factor -5*a**5 - 30*a**4 - 40*a**3 + 10*a**2 + 45*a + 20.
-5*(a - 1)*(a + 1)**3*(a + 4)
Determine f so that -5*f**3 - 2