for u.
-5, -1, 0
Factor -y**2 - 37*y - 286.
-(y + 11)*(y + 26)
Determine p so that -2*p**2/13 - 180*p/13 - 4050/13 = 0.
-45
Solve -5*x**3/2 + 1825*x**2/2 + 2755*x + 1840 = 0.
-2, -1, 368
Factor 16*l**3 + 3444*l**2 - 10444*l + 6984.
4*(l - 2)*(l - 1)*(4*l + 873)
Factor 4*c**2/5 - 212*c/5 + 208/5.
4*(c - 52)*(c - 1)/5
Find q, given that 4*q**5 + 244*q**4 - 552*q**3 - 2864*q**2 + 9952*q - 8064 = 0.
-63, -4, 2
Factor -2*m**3/7 - 10*m**2/7.
-2*m**2*(m + 5)/7
Let -7*f**5/4 - 9*f**4/4 + 271*f**3/4 - 139*f**2/4 - 138*f - 35 = 0. What is f?
-7, -1, -2/7, 2, 5
Factor -2*j**4/9 - 82*j**3/9 + 352*j**2/9 - 40*j.
-2*j*(j - 2)**2*(j + 45)/9
Suppose -6*j**3/7 + 7260*j**2/7 - 14502*j/7 + 7248/7 = 0. Calculate j.
1, 1208
Determine a, given that 81*a**4/5 + 279*a**3/5 + 274*a**2/5 + 84*a/5 + 8/5 = 0.
-2, -1, -2/9
Factor 25*k**3 - 5*k**2 - 320*k - 240.
5*(k - 4)*(k + 3)*(5*k + 4)
Find d such that -3*d**4 + 63*d**3 + 138*d**2 = 0.
-2, 0, 23
Suppose -g**3/2 - 16*g**2 + 33*g/2 = 0. Calculate g.
-33, 0, 1
Suppose -3*p**2 - 642*p = 0. What is p?
-214, 0
Solve -2*j**5/15 + 98*j**4/15 - 38*j**3/3 + 94*j**2/15 = 0 for j.
0, 1, 47
Determine b, given that -4*b**3/5 + 4*b**2 - 16*b/5 = 0.
0, 1, 4
Solve -2*r**4 + 24*r**2 + 32*r = 0.
-2, 0, 4
Solve -y**4 + 87*y**3/4 - 247*y**2/2 + 303*y/4 + 27 = 0 for y.
-1/4, 1, 9, 12
Find l such that 190*l**2 + 364*l - 32 = 0.
-2, 8/95
Factor 80*x**3 + 1025*x**2 + 1565*x - 330.
5*(x + 2)*(x + 11)*(16*x - 3)
Suppose -2*n**4/11 - 8*n**3/11 - 8*n**2/11 = 0. What is n?
-2, 0
Find k, given that k**2/3 + 28*k/3 + 52/3 = 0.
-26, -2
Determine m so that 5*m**4 + 30*m**3 - 15*m**2 - 80*m + 60 = 0.
-6, -2, 1
Factor -5*c**4 - 25*c**3 - 40*c**2 - 20*c.
-5*c*(c + 1)*(c + 2)**2
Determine k so that 13*k**2/2 + 27*k + 4 = 0.
-4, -2/13
Factor b**2/5 + 9*b/5 + 18/5.
(b + 3)*(b + 6)/5
Solve -x**3 + 67*x**2 - 672*x - 1620 = 0.
-2, 15, 54
Suppose -2*q**5 - 86*q**4 - 782*q**3 + 3174*q**2 = 0. What is q?
-23, 0, 3
Find w such that 3*w**2 + 84*w + 81 = 0.
-27, -1
What is j in -3*j**5/5 - 33*j**4/5 + 246*j**3/5 + 24*j**2/5 - 1152*j/5 = 0?
-16, -2, 0, 3, 4
Suppose 3*q**5/2 - 12*q**4 + 21*q**3/2 = 0. What is q?
0, 1, 7
Suppose m**3/3 + 13*m**2/3 + 23*m/3 + 11/3 = 0. What is m?
-11, -1
Suppose -2*t**4/5 + 1196*t**3/5 + 2402*t**2/5 - 1196*t/5 - 480 = 0. What is t?
-2, -1, 1, 600
Factor l**3/6 - 59*l**2 + 6962*l - 821516/3.
(l - 118)**3/6
Factor -2*g**2/3 + 70*g/3.
-2*g*(g - 35)/3
Factor l**4/4 - 3*l**3/4 + l**2/4 + 3*l/4 - 1/2.
(l - 2)*(l - 1)**2*(l + 1)/4
Determine r, given that -519*r**2/5 - 1074*r/5 - 72/5 = 0.
-2, -12/173
Determine v, given that -v**3/11 - 9*v**2/11 + v/11 + 9/11 = 0.
-9, -1, 1
Factor 2*m**2 + 820*m + 84050.
2*(m + 205)**2
Let -4*f**2 + 44*f = 0. What is f?
0, 11
Determine x so that -5*x**4/2 - 135*x**3/2 - 1315*x**2/2 - 5445*x/2 - 4050 = 0.
-9, -5, -4
Solve -2*x**4 - 245*x**3/2 - 1785*x**2/2 - 1915*x/2 - 371/2 = 0.
-53, -7, -1, -1/4
Solve 15*w**2 - 935*w + 310 = 0.
1/3, 62
Find u, given that 12*u**2/7 - 110*u/7 + 248/7 = 0.
4, 31/6
Factor -57*a**5 - 111*a**4 - 51*a**3 + 3*a**2.
-3*a**2*(a + 1)**2*(19*a - 1)
Suppose 3*u**4 + 384*u**3 - 2034*u**2 - 5208*u - 2793 = 0. What is u?
-133, -1, 7
Find t such that t**2/6 - 2*t/3 - 2 = 0.
-2, 6
Factor k**4 - 45*k**3 - 243*k**2 - 347*k - 150.
(k - 50)*(k + 1)**2*(k + 3)
Let -4*d**3 - 16*d**2 - 12*d = 0. What is d?
-3, -1, 0
Solve -6*m**4 - 147*m**3 - 774*m**2 - 1323*m - 486 = 0 for m.
-18, -3, -1/2
Factor 5*v**4/4 + 6385*v**3 + 24460935*v**2/2 + 10412204665*v + 13296385357205/4.
5*(v + 1277)**4/4
Factor 34*o**3/5 - 96*o**2/5 + 10*o + 12/5.
2*(o - 2)*(o - 1)*(17*o + 3)/5
Factor -2*t**2/5 - 48*t - 1440.
-2*(t + 60)**2/5
Factor -5*g**3/3 - 50*g**2/3 - 20*g + 120.
-5*(g - 2)*(g + 6)**2/3
Determine u, given that -3*u**4/7 + 39*u**3/7 + 264*u**2/7 + 132*u/7 - 432/7 = 0.
-4, -2, 1, 18
Factor 26*m**4 + 452*m**3 - 288*m**2.
2*m**2*(m + 18)*(13*m - 8)
Factor -g**4 + 10*g**3 + 12*g**2 - 10*g - 11.
-(g - 11)*(g - 1)*(g + 1)**2
Factor -4*k**2 + 200*k + 204.
-4*(k - 51)*(k + 1)
Solve 2*q**3 - 32*q**2 + 102*q - 72 = 0 for q.
1, 3, 12
Factor 2*j**2 - 350*j - 352.
2*(j - 176)*(j + 1)
Factor 5*r**3 + 300*r**2 + 4185*r - 9610.
5*(r - 2)*(r + 31)**2
Suppose 2*v**4/9 + 4*v**3/9 - 40*v**2/3 + 368*v/9 - 320/9 = 0. What is v?
-10, 2, 4
Let d**4/2 + 1643*d**3/2 + 337020*d**2 - 337842*d = 0. Calculate d.
-822, 0, 1
Factor -3*f**3/5 - 174*f**2/5 - 468*f + 1080.
-3*(f - 2)*(f + 30)**2/5
Suppose q**2/6 - q/2 - 3 = 0. Calculate q.
-3, 6
Factor -t**2/2 - 455*t/8 + 57/4.
-(t + 114)*(4*t - 1)/8
Determine z, given that -4*z**3/5 + 708*z**2/5 - 41772*z/5 + 821516/5 = 0.
59
Solve -15*g**4 - 198*g**3 - 2847*g**2/5 + 2772*g/5 - 588/5 = 0 for g.
-7, 2/5
Find i such that -4*i**2/7 + 394*i/7 + 600/7 = 0.
-3/2, 100
Let 2*r**2/5 - 10*r - 240 = 0. Calculate r.
-15, 40
Factor u**2/8 + 31*u/8 + 117/4.
(u + 13)*(u + 18)/8
What is x in x**5/2 + 9*x**4 - 12*x**3 - 49*x**2 - 57*x/2 = 0?
-19, -1, 0, 3
Suppose -3*z**4/2 + 18*z**3 - 63*z**2/2 + 15*z = 0. What is z?
0, 1, 10
Find h such that h**5/4 - 33*h**4/4 + 7*h**3 + 33*h**2 - 32*h = 0.
-2, 0, 1, 2, 32
Determine q so that -15*q**5 - 21*q**4 + 39*q**3 + 33*q**2 - 24*q - 12 = 0.
-2, -1, -2/5, 1
Factor 2*j**4/9 - 8*j**3/3 + 44*j**2/9 + 56*j/3 + 98/9.
2*(j - 7)**2*(j + 1)**2/9
What is n in 3*n**2/7 + 411*n/7 + 408/7 = 0?
-136, -1
Let -3*f**3 + 12*f**2 - 3*f - 18 = 0. What is f?
-1, 2, 3
Factor q**3 + 393*q**2 + 38808*q + 38416.
(q + 1)*(q + 196)**2
Factor r**4/2 - 11*r**3/2 + 37*r**2/2 - 45*r/2 + 9.
(r - 6)*(r - 3)*(r - 1)**2/2
Factor 3*f**3 - 5*f**2/2 - f/2.
f*(f - 1)*(6*f + 1)/2
Find o, given that -5*o**4 - 1920*o**3 - 276480*o**2 - 17694720*o - 424673280 = 0.
-96
Factor 2*p**3/21 - 124*p**2/21 + 2146*p/21 - 6728/21.
2*(p - 29)**2*(p - 4)/21
Determine k, given that -4*k**2 + 48*k + 3700 = 0.
-25, 37
Factor 4*l**3/3 - 16*l**2/3 - 28*l/3 + 40/3.
4*(l - 5)*(l - 1)*(l + 2)/3
Determine m, given that -5*m**4 + 25*m**3 - 45*m**2 + 35*m - 10 = 0.
1, 2
Factor -5*i**4/6 - 65*i**3/2 + 135*i**2/2 - 205*i/6.
-5*i*(i - 1)**2*(i + 41)/6
Factor 2*h**2/3 + 94*h/3.
2*h*(h + 47)/3
Factor 2*a**3 - 30*a**2 + 88*a.
2*a*(a - 11)*(a - 4)
Determine c so that -2*c**5/5 + 26*c**4/5 - 68*c**3/5 - 12*c**2 + 198*c/5 + 162/5 = 0.
-1, 3, 9
Let -5*j**2 - 765*j - 760 = 0. Calculate j.
-152, -1
Determine r, given that 2*r**2/3 - 8*r/3 + 2 = 0.
1, 3
Factor 5*u**2/4 - 100*u + 2000.
5*(u - 40)**2/4
Suppose i**4/4 - 3*i**3/4 - 3*i**2/4 + 11*i/4 - 3/2 = 0. Calculate i.
-2, 1, 3
Factor -2*p**3 - 2*p**2 + 180*p.
-2*p*(p - 9)*(p + 10)
Suppose 3*l**3/7 - 194*l**2/7 + 317*l/7 - 18 = 0. Calculate l.
2/3, 1, 63
Factor -a**5 - 165*a**4 + 333*a**3 - 167*a**2.
-a**2*(a - 1)**2*(a + 167)
Let 3*f**2 + 342*f + 9747 = 0. What is f?
-57
Factor -3*h**3 - 39*h**2/5 - 12*h/5 + 12/5.
-3*(h + 1)*(h + 2)*(5*h - 2)/5
Solve 2*n**2/3 + 280*n + 1672/3 = 0 for n.
-418, -2
Solve -42*k**4/13 + 166*k**3/13 - 202*k**2/13 + 74*k/13 + 4/13 = 0 for k.
-1/21, 1, 2
Solve 2*i**3/7 + 186*i**2/7 - 8*i/7 - 744/7 = 0 for i.
-93, -2, 2
Factor 5*b**2 - 4310*b - 4315.
5*(b - 863)*(b + 1)
Factor 2*h**2 - 5*h/3.
h*(6*h - 5)/3
Suppose -w**2 + 1 = 0. Calculate w.
-1, 1
Find f such that -3*f**3/4 - 21*f**2/4 - 9*f/2 = 0.
-6, -1, 0
Find x, given that x**2/9 - 800*x/9 + 160000/9 = 0.
400
Factor -3*f**2 - 81*f - 276.
-3*(f + 4)*(f + 23)
Determine v so that -5*v**3 - 430*v**2 - 425*v = 0.
-85, -1, 0
Factor -r**3/5 + 188*r**2/5 + 193*r.
-r*(r - 193)*(r + 5)/5
Factor -5*o**3 - 80*o**2 - 255*o - 180.
-5*(o + 1)*(o + 3)*(o + 12)
Solve -3*n**3/4 - 21*n**2/4 + 15*n/2 + 12 = 0 for n.
-8, -1, 2
Factor -250*d**3 + 1245*d**2 - 975*d - 20.
-5*(d - 4)*(d - 1)*(50*d + 1)
Find m, given that 16*m**3 - 4*m**2 - 116*m + 120 = 0.
-3, 5/4, 2
Factor 9*n**4 - 42*n**3 + 48*n**2 - 6*n - 9.
3*(n - 3)*(n - 1)**2*(3*n + 1)
Factor -10*n**3 - 374*n**2 - 148*n.
-2*n*(n + 37)*(5*n + 2)
Factor u**4 + 3*u**3/5 - 7*u**2/5 - 3*u/5 + 2/5.
(u - 1)*(u + 1)**2*(5*u - 2)/5
Let -2*p**2/13 - 88*p/13 - 62 = 0. Calculate p.
-31, -13
Solve 4*i**3/7 + 16*i**2 + 396*i/7 + 288/7 = 0.
-24, -3, -1
Factor 14*u**2/3 + 24*u + 10/3.
2*(u + 5)*(7*u + 1)/3
Find r, given that 14*r**5/5 - 94*r**4 + 712*r**3/5 - 256*r**2/5 = 0.
0, 4/7, 1, 32
What is a in 6*a**3/7 - 1200*a**2/7 + 60000*a/7 = 0?
0, 100
Factor -3*u**2 + 27*u - 60.
-3*(u - 5)*(u - 4)
Factor