, 1, 260
Suppose -m**2/4 - 17*m/4 + 21 = 0. Calculate m.
-21, 4
Factor -i**4/11 - 4*i**3/11 + 45*i**2/11.
-i**2*(i - 5)*(i + 9)/11
Find h such that -8*h**5/19 + 32*h**4/19 + 86*h**3/19 + 58*h**2/19 + 12*h/19 = 0.
-1, -1/2, 0, 6
Find q such that -24*q**3 + 74*q**2 - 54*q + 4 = 0.
1/12, 1, 2
Factor f**2/2 - 35*f + 69/2.
(f - 69)*(f - 1)/2
Factor -27*x**2 + 66*x - 24.
-3*(x - 2)*(9*x - 4)
Factor -162*m**3/7 - 14022*m**2/7 + 6256*m/7 - 696/7.
-2*(m + 87)*(9*m - 2)**2/7
Factor i**3/2 - 5*i**2 + 8*i.
i*(i - 8)*(i - 2)/2
Find k such that 3*k**2 - 1788*k + 266412 = 0.
298
Factor 4*o**3/7 - 20*o**2/7 - 4*o/7 + 20/7.
4*(o - 5)*(o - 1)*(o + 1)/7
Suppose w**2 + 103*w = 0. Calculate w.
-103, 0
Factor -2*d**2/5 + 14*d + 80.
-2*(d - 40)*(d + 5)/5
Factor -2*z**3 + 2*z**2 + 16*z - 24.
-2*(z - 2)**2*(z + 3)
Factor -12*v**2 - 274*v - 220.
-2*(v + 22)*(6*v + 5)
Determine v so that 2*v**5 + 46*v**4 + 260*v**3 = 0.
-13, -10, 0
Factor -3*d**2 - 18*d + 1701.
-3*(d - 21)*(d + 27)
Factor 4*d**4 + 3208*d**3 + 636756*d**2 - 2585648*d + 2598544.
4*(d - 2)**2*(d + 403)**2
Determine h so that -h**5/7 + 67*h**4/7 + 1537*h**3/7 + 8297*h**2/7 + 576*h - 13932/7 = 0.
-9, -2, 1, 86
Factor -8*w**3 + 204*w**2 - 2601*w/2.
-w*(4*w - 51)**2/2
Factor -2*y**2/13 - 314*y/13.
-2*y*(y + 157)/13
Factor -2*b**3 + 7218*b**2 - 6516048*b + 6508832.
-2*(b - 1804)**2*(b - 1)
Find u, given that -u**2/2 + 14*u + 352 = 0.
-16, 44
Find n, given that 4*n**5 - 28*n**3 + 24*n**2 = 0.
-3, 0, 1, 2
Solve -5*s**5 + 80*s**4 - 125*s**3 - 2730*s**2 + 10260*s - 9720 = 0.
-6, 2, 9
Determine v, given that 6*v**3 - 112*v**2 - 38*v = 0.
-1/3, 0, 19
Find d, given that -d**2/5 - 78*d/5 - 1521/5 = 0.
-39
Suppose -4*d**3 - 12060*d**2 - 9084192*d + 9096256 = 0. Calculate d.
-1508, 1
Let 5*j**4 + 80*j**3 - 315*j**2 - 530*j + 760 = 0. What is j?
-19, -2, 1, 4
Factor -4*u**3 - 256*u**2 - 2516*u + 54760.
-4*(u - 10)*(u + 37)**2
Suppose -l**5/4 + 3*l**4 - 17*l**3/4 - 17*l**2/2 + 9*l + 10 = 0. What is l?
-1, 2, 10
Suppose -3*m**5/8 + 123*m**4/4 - 1065*m**3/2 - 3963*m**2 - 8448*m - 5808 = 0. Calculate m.
-2, 44
Factor -m**5 - 4*m**4 + 5*m**3 + 36*m**2 + 36*m.
-m*(m - 3)*(m + 2)**2*(m + 3)
Determine t so that 12*t**4 - 32*t**3 - 60*t**2 - 16*t = 0.
-1, -1/3, 0, 4
Factor -f**4/2 + 201*f**3 - 39177*f**2/2 - 123012*f - 187272.
-(f - 204)**2*(f + 3)**2/2
Let t**5 + 31*t**4 - 135*t**3 + 173*t**2 - 70*t = 0. Calculate t.
-35, 0, 1, 2
Solve 2*s**5/11 + 12*s**4/11 - 2*s**3/11 - 12*s**2/11 = 0.
-6, -1, 0, 1
Factor a**3/6 + 53*a**2/6 + 103*a/6 + 17/2.
(a + 1)**2*(a + 51)/6
What is i in 1444*i**3/3 + 836*i**2/3 - 544*i/3 + 64/3 = 0?
-1, 4/19
Determine x, given that 5*x**2 + 245*x + 470 = 0.
-47, -2
Factor 64*r**3/7 - 10*r**2/7.
2*r**2*(32*r - 5)/7
Factor 4*o**5/11 + 58*o**4/11 - 30*o**3/11.
2*o**3*(o + 15)*(2*o - 1)/11
Find o, given that -o**5/7 - 75*o**4/7 - 1287*o**3/7 + 4559*o**2/7 - 312*o/7 - 6084/7 = 0.
-39, -1, 2
Determine f, given that -22*f**4/3 - 152*f**3/3 + 38*f**2/3 + 56*f = 0.
-7, -1, 0, 12/11
Solve -2*q**2 + 6028*q - 4542098 = 0 for q.
1507
Suppose -4*a**2 + 48*a - 140 = 0. Calculate a.
5, 7
Solve -6*i**2/11 - 72*i/11 - 216/11 = 0.
-6
Let -6*g**5 + 33*g**4 + 12*g**3 - 66*g**2 - 6*g + 33 = 0. What is g?
-1, 1, 11/2
Factor 343*u**4 + 1519*u**3 - 6006*u**2 - 40172*u - 53240.
(u - 5)*(7*u + 22)**3
Determine d, given that -3*d**5 + 4284*d**4 - 2039184*d**3 + 323550528*d**2 = 0.
0, 476
Find s such that -4*s**5 + 56*s**4 - 192*s**3 - 216*s**2 + 2052*s - 2592 = 0.
-3, 3, 8
Factor 2*q**2 - 26*q + 24.
2*(q - 12)*(q - 1)
Factor o**4/4 + 4*o**3 + 45*o**2/2 + 50*o + 125/4.
(o + 1)*(o + 5)**3/4
Factor -3*y**2/2 - 999*y - 332667/2.
-3*(y + 333)**2/2
Factor j**3/5 + 333*j**2/5 - 334*j/5.
j*(j - 1)*(j + 334)/5
Solve 4*c**5 + 28*c**4 + 68*c**3 + 68*c**2 + 24*c = 0 for c.
-3, -2, -1, 0
Find b such that 4*b**5/7 + 31*b**4/7 + 68*b**3/7 + 29*b**2/7 - 12*b/7 = 0.
-4, -3, -1, 0, 1/4
Suppose y**2/5 + 4*y + 20 = 0. What is y?
-10
Determine y, given that 3*y**5/7 - 3795*y**4/7 + 1083*y**3 - 3789*y**2/7 = 0.
0, 1, 1263
Find u such that 2*u**5/19 - 12*u**4/19 - 40*u**3/19 + 60*u**2/19 + 2*u - 48/19 = 0.
-3, -1, 1, 8
Find o, given that 3*o**2/4 - 15*o + 57/4 = 0.
1, 19
Factor -z**5/2 - 595*z**4/2 - 297*z**3.
-z**3*(z + 1)*(z + 594)/2
Determine s, given that -4*s**4/5 + 11*s**3/5 + 19*s**2/5 + 4*s/5 = 0.
-1, -1/4, 0, 4
Solve s**2 + 1416*s + 501264 = 0.
-708
Factor 4*k**4 - 48*k**3 - 556*k**2 - 1608*k - 1440.
4*(k - 20)*(k + 2)*(k + 3)**2
Suppose 4*g**2 + 52*g + 144 = 0. Calculate g.
-9, -4
Suppose 2*u**5/19 + 22*u**4/19 + 88*u**3/19 + 8*u**2 + 96*u/19 = 0. What is u?
-4, -3, -2, 0
Solve 3*f**4/5 - 6*f**3/5 - 327*f**2/5 + 66*f = 0 for f.
-10, 0, 1, 11
Let 2*q**4/11 - 4*q**2/11 + 2/11 = 0. Calculate q.
-1, 1
Solve -10*b**2 - 1415*b - 705 = 0.
-141, -1/2
What is y in 7*y**4/2 + y**3 - 21*y**2/2 - 10*y - 2 = 0?
-1, -2/7, 2
What is c in -4*c**2 + 11488*c - 8248384 = 0?
1436
Let 76*x**4 + 260*x**3 + 8*x**2 - 656*x - 480 = 0. What is x?
-2, -1, 30/19
Suppose -6*j**5/11 - 798*j**4/11 + 6*j**3/11 + 798*j**2/11 = 0. Calculate j.
-133, -1, 0, 1
Let x**4/10 - 1721*x**3/10 + 493353*x**2/5 - 94065398*x/5 - 94559612/5 = 0. What is x?
-1, 574
Let -5*p**3 + 750*p**2 - 37500*p + 625000 = 0. Calculate p.
50
Let 4*h**5 - 1292*h**4 + 102364*h**3 + 318812*h**2 + 5216*h - 425104 = 0. Calculate h.
-2, 1, 163
Factor -2*n**3/11 - 8*n**2/11 + 8*n/11 + 32/11.
-2*(n - 2)*(n + 2)*(n + 4)/11
Factor -25*u**3 + 2715*u**2 + 9490*u + 3360.
-5*(u - 112)*(u + 3)*(5*u + 2)
Factor -11*b**2/2 - 833*b/4 + 57/2.
-(b + 38)*(22*b - 3)/4
Solve 4*d**5 + 144*d**4 + 388*d**3 - 312*d**2 - 1616*d - 1056 = 0.
-33, -2, -1, 2
Factor 4*i**4 + 647*i**3 + 34830*i**2 + 621108*i - 157464.
(i + 54)**3*(4*i - 1)
Factor -2*d**2 + 750*d - 2968.
-2*(d - 371)*(d - 4)
Find r such that 2*r**4/11 - 68*r**3/11 - 216*r**2/11 - 20*r - 74/11 = 0.
-1, 37
Suppose b**4/5 + 468*b**3/5 + 54756*b**2/5 = 0. Calculate b.
-234, 0
Find f such that -f**4/7 - 4*f**3/7 + 9*f**2/7 + 16*f/7 - 20/7 = 0.
-5, -2, 1, 2
Determine j so that j**2/4 - 9*j/4 + 2 = 0.
1, 8
Factor 2*m**2/5 - 98*m/5 + 144.
2*(m - 40)*(m - 9)/5
Factor v**3 - 15*v**2 + 47*v + 63.
(v - 9)*(v - 7)*(v + 1)
Factor -g**3/4 - 11*g**2/4 - 13*g/2 - 4.
-(g + 1)*(g + 2)*(g + 8)/4
Let -3*i**5/2 - 33*i**4/2 - 36*i**3 + 54*i**2 = 0. Calculate i.
-6, 0, 1
Factor 2*b**3/5 - 16*b**2/5 + 42*b/5 - 36/5.
2*(b - 3)**2*(b - 2)/5
Factor -2*l**2/3 - 422*l/5 - 252/5.
-2*(l + 126)*(5*l + 3)/15
Determine v so that -2*v**2 - 18*v + 72 = 0.
-12, 3
Factor -u**2/5 - 102*u/5 - 2601/5.
-(u + 51)**2/5
Find s, given that 5*s**2 + 985*s + 2910 = 0.
-194, -3
Factor 2*f**3/15 - 38*f**2/15 - 20*f.
2*f*(f - 25)*(f + 6)/15
Factor -164*o**2/9 + 166*o/3 - 2.
-2*(o - 3)*(82*o - 3)/9
Factor -r**2/2 + 1507*r + 3015/2.
-(r - 3015)*(r + 1)/2
Factor 6*m**3 + 339*m**2 - 879*m + 354.
3*(m - 2)*(m + 59)*(2*m - 1)
Factor 2*q**2 - 1684*q + 354482.
2*(q - 421)**2
Factor 3*j**4 + 21*j**3 - 24*j**2.
3*j**2*(j - 1)*(j + 8)
Determine a so that 4*a**3/7 + 468*a**2/7 + 132*a + 460/7 = 0.
-115, -1
Suppose -3*y**3/7 + 27*y**2/7 + 90*y/7 - 264/7 = 0. Calculate y.
-4, 2, 11
What is t in 4*t**3 + 888*t**2 + 1764*t + 880 = 0?
-220, -1
Find k, given that 2*k**5/5 + 4*k**4/5 - 6*k**3/5 - 16*k**2/5 - 8*k/5 = 0.
-2, -1, 0, 2
Let 13*o**2 + 37*o + 24 = 0. What is o?
-24/13, -1
Factor p**3/5 + 4*p**2 - 128*p/5 - 3072/5.
(p - 12)*(p + 16)**2/5
Factor -3*w**3 + 42*w**2 + 45*w.
-3*w*(w - 15)*(w + 1)
Factor 3*h**2 - 2925*h.
3*h*(h - 975)
Suppose k**2/7 + 593*k - 4152/7 = 0. Calculate k.
-4152, 1
Let 5*x**2 + 1440*x = 0. Calculate x.
-288, 0
Let -6*t**4/5 + 4*t**3/5 + 32*t**2/5 + 28*t/5 + 6/5 = 0. Calculate t.
-1, -1/3, 3
Factor 9*m**4 + 6*m**3 - 225*m**2 - 150*m.
3*m*(m - 5)*(m + 5)*(3*m + 2)
Let 5*i**4 - 35*i**3 - 85*i**2 - 45*i = 0. Calculate i.
-1, 0, 9
Find s such that -4*s**2 - 42952*s - 115304644 = 0.
-5369
Solve 42*a**5 - 604*a**4 + 706*a**3 + 616*a**2 + 104*a = 0.
-1/3, -2/7, 0, 2, 13
What is x in -5*x**2 - 45*x + 110 = 0?
-11, 2
Factor 4*h**3/7 - 40*h**2/7 + 132*h/7 - 144/7.
4*(h - 4)*(h - 3)**2/7
Factor -5*s**4 - 30*s**3 - 40*s**2.
-5*s**2*(s + 2)*(s + 4)
Suppose 4*n**4/9 - 172*n**3/9 + 836*n**2/3 - 13156*n/9 + 10816/9 = 0. What is n?
1, 13, 16
Factor 4*t**4 - 8440*t**3 + 4443648*t**2 + 8921088*t.
4*t*(t - 1056)**2*(t + 2)
Solve 