- 2152227*m/2 + 607645423/2.
-(m - 847)**3/2
Factor 8*h**4 + 462*h**3 - 1076*h**2 + 240*h.
2*h*(h - 2)*(h + 60)*(4*h - 1)
Suppose -14*t**2 - 2398*t - 684 = 0. What is t?
-171, -2/7
Solve -m**2/6 - 94*m/3 = 0 for m.
-188, 0
Factor -3*o**2/8 + 459*o/4 - 70227/8.
-3*(o - 153)**2/8
Determine d so that 10*d**3/3 + 3462*d**2 - 4156*d/3 = 0.
-1039, 0, 2/5
Let 3*j**4/2 - 3*j**3/2 - 3*j**2/2 + 3*j/2 = 0. What is j?
-1, 0, 1
Solve -z**5 + 2*z**3 - z = 0 for z.
-1, 0, 1
Factor 4*i**5/3 + 44*i**4/3 - 320*i**3/3.
4*i**3*(i - 5)*(i + 16)/3
Factor -8*c**2 + 18*c - 4.
-2*(c - 2)*(4*c - 1)
Factor -2*z**2/7 - 2*z/7 + 24/7.
-2*(z - 3)*(z + 4)/7
Solve 34*d**4 + 121*d**3 + 110*d**2 - 7*d - 30 = 0 for d.
-2, -1, 15/34
What is r in -3*r**4 + r**3 + 9*r**2 + 3*r - 2 = 0?
-1, 1/3, 2
Factor 3*t**4 - 15*t**3 + 18*t**2.
3*t**2*(t - 3)*(t - 2)
Factor 2*o**2 + 890*o + 888.
2*(o + 1)*(o + 444)
Determine u, given that 2*u**2/9 - 3892*u/9 - 1298/3 = 0.
-1, 1947
Factor -5*k**2 + 150*k.
-5*k*(k - 30)
Suppose 4*s**2 + 208*s + 2668 = 0. What is s?
-29, -23
Solve 20*r**4 + 5*r**3 - 80*r**2 - 20*r = 0 for r.
-2, -1/4, 0, 2
Determine s so that -3*s**3 - 42*s**2 + 147*s - 102 = 0.
-17, 1, 2
Factor 5*l**2 + 670*l + 22445.
5*(l + 67)**2
Solve t**3/4 - 7*t**2 + 85*t/4 + 867/2 = 0 for t.
-6, 17
What is f in 2*f**4/3 - 4*f**2/3 + 2/3 = 0?
-1, 1
Factor -3*p**3/5 - 78*p**2/5 - 15*p.
-3*p*(p + 1)*(p + 25)/5
Solve -a**2 + 505*a - 504 = 0 for a.
1, 504
Let -4*w**3 - 56*w**2 - 96*w = 0. Calculate w.
-12, -2, 0
Find w, given that 5*w**4/9 - 4*w**3/3 + 7*w**2/9 = 0.
0, 1, 7/5
Find i such that -2*i**2/3 + 52*i/3 - 80 = 0.
6, 20
Factor i**4 - 8*i**3 - 3*i**2 + 22*i + 16.
(i - 8)*(i - 2)*(i + 1)**2
Factor 15*h**3 - 55*h**2 - 390*h + 280.
5*(h - 7)*(h + 4)*(3*h - 2)
Solve 2*x**2 + 36*x - 38 = 0.
-19, 1
Factor -5*x**2/2 + 105*x.
-5*x*(x - 42)/2
Factor n**5/8 - 103*n**4/8 + 1833*n**3/4 - 24651*n**2/4 + 153549*n/8 - 107811/8.
(n - 33)**3*(n - 3)*(n - 1)/8
Suppose -6*d**3/7 - 832*d**2/7 + 282*d/7 + 556/7 = 0. What is d?
-139, -2/3, 1
What is d in -3*d**5/8 - 3*d**4 + 201*d**3/8 + 399*d**2/4 - 756*d + 972 = 0?
-9, 2, 4
Solve -d**5 - 11*d**4 - 46*d**3 - 92*d**2 - 88*d - 32 = 0 for d.
-4, -2, -1
Factor -12*a**3/5 - 8*a**2/5.
-4*a**2*(3*a + 2)/5
Find y, given that -5*y**2 + 160*y - 300 = 0.
2, 30
Find g, given that g**4/4 + 623*g**3/2 + 389373*g**2/4 + 193753*g + 96721 = 0.
-622, -1
Determine r so that -14*r**4/11 + 46*r**3/11 + 2*r**2/11 - 46*r/11 + 12/11 = 0.
-1, 2/7, 1, 3
Factor 4*h**3 + 12*h**2 + 8*h.
4*h*(h + 1)*(h + 2)
Factor y**2 - 1054*y + 277729.
(y - 527)**2
Factor -2*m**3/7 - 76*m**2 - 29458*m/7 + 817960/7.
-2*(m - 20)*(m + 143)**2/7
Solve -5*v**5/3 + 20*v**4 + 85*v**3/3 - 80*v**2 - 260*v/3 = 0 for v.
-2, -1, 0, 2, 13
Factor 2*r**4 - 24*r**3 - 2*r**2 + 24*r.
2*r*(r - 12)*(r - 1)*(r + 1)
Suppose 8788*p**4 - 49348*p**3 + 64428*p**2 - 31948*p + 5488 = 0. Calculate p.
7/13, 4
What is x in -9*x**2 - 253*x - 28 = 0?
-28, -1/9
Suppose -v**2/6 + 7*v/6 - 1 = 0. Calculate v.
1, 6
Factor -4*d**4 - 352*d**3 - 1032*d**2 - 1024*d - 340.
-4*(d + 1)**3*(d + 85)
Solve 2*l**2/11 + 148*l/11 - 1312/11 = 0.
-82, 8
Determine g, given that 2*g**3 - 10*g**2 + 14*g - 6 = 0.
1, 3
Factor 6*c**3/7 - 159*c**2 + 51336*c/7 + 25947/7.
3*(c - 93)**2*(2*c + 1)/7
What is d in 3*d**2/8 - 9*d/4 + 3 = 0?
2, 4
Determine x so that -x**2 - 859*x + 1722 = 0.
-861, 2
What is s in 3*s**4 - 11*s**3 - 6*s**2 + 44*s - 24 = 0?
-2, 2/3, 2, 3
Determine x so that x**4/7 - 3*x**3/7 - x**2/7 + 3*x/7 = 0.
-1, 0, 1, 3
Find h such that 9*h**3 + 87*h**2 + 51*h - 27 = 0.
-9, -1, 1/3
Let 3*w**2/8 + 135*w/2 = 0. Calculate w.
-180, 0
Let 4*s**2 - 56*s + 96 = 0. What is s?
2, 12
Factor 2*s**4/21 + 4*s**3/7 + 8*s**2/7 + 20*s/21 + 2/7.
2*(s + 1)**3*(s + 3)/21
Factor 5*j**3 + 85*j**2 + 455*j + 735.
5*(j + 3)*(j + 7)**2
Factor -l**3 + 27*l**2 + 61*l - 87.
-(l - 29)*(l - 1)*(l + 3)
Let 65*y**5 - 705*y**4 + 540*y**3 + 100*y**2 = 0. Calculate y.
-2/13, 0, 1, 10
Let -2*b**3 + 282*b**2 - 1638*b + 2430 = 0. Calculate b.
3, 135
Factor 2*k**4/13 - 94*k**3/13 - 294*k**2/13 - 298*k/13 - 100/13.
2*(k - 50)*(k + 1)**3/13
Factor 16*f**3 - 336*f**2 + 2052*f - 2888.
4*(f - 2)*(2*f - 19)**2
Suppose -83*m**2 + 2*m = 0. Calculate m.
0, 2/83
Factor 2*d**3/3 - 46*d**2/3 + 320*d/3 - 200.
2*(d - 10)**2*(d - 3)/3
Let 2*b**4/3 + 2*b**3 = 0. What is b?
-3, 0
Factor 4*n**3/9 - 52*n**2/9 - 56*n/9.
4*n*(n - 14)*(n + 1)/9
Factor -3*w**3/2 + 23*w**2/2 + 4*w.
-w*(w - 8)*(3*w + 1)/2
Factor 2*s**2/3 - 20084*s/3 + 50420882/3.
2*(s - 5021)**2/3
Factor 2*d**3 + 80*d**2 + 226*d + 148.
2*(d + 1)*(d + 2)*(d + 37)
Suppose -5*i**3 + 3075*i**2 + 24840*i + 49840 = 0. What is i?
-4, 623
Factor u**2 + u.
u*(u + 1)
Find b such that -2*b**5/7 + 12*b**4/7 + 54*b**3/7 + 8*b**2/7 - 72*b/7 = 0.
-2, 0, 1, 9
Factor 2*f**4/7 + 60*f**3/7 - 2*f**2/7 - 60*f/7.
2*f*(f - 1)*(f + 1)*(f + 30)/7
Solve -605*i**5 + 6435*i**4 - 12120*i**3 - 26840*i**2 - 8400*i - 720 = 0.
-1, -2/11, 6
Factor -4*m**3 + 32*m**2 + 140*m - 1176.
-4*(m - 7)**2*(m + 6)
Factor -b**2/4 + 21*b/4 - 5.
-(b - 20)*(b - 1)/4
Determine i so that -3*i**5 - 27*i**4/7 + 15*i**3/7 + 27*i**2/7 + 6*i/7 = 0.
-1, -2/7, 0, 1
What is z in 20*z**2/3 - 908*z/3 - 184 = 0?
-3/5, 46
Solve -z**4/6 + 128*z**3/3 - 127*z**2 + 380*z/3 - 253/6 = 0 for z.
1, 253
Factor -g**3 + 120*g**2 - 4800*g + 64000.
-(g - 40)**3
Factor -3*g**2/7 - 486*g.
-3*g*(g + 1134)/7
Suppose -2*b**4/5 - 2*b**3/5 + 10*b**2 + 10*b = 0. Calculate b.
-5, -1, 0, 5
Factor 2*r**3 - 4*r**2 - 26*r - 20.
2*(r - 5)*(r + 1)*(r + 2)
Find o, given that -4*o**5 + 4*o**4 + 236*o**3 + 444*o**2 + 216*o = 0.
-6, -1, 0, 9
Factor i**5 - 26*i**4/7 - 8*i**3/7.
i**3*(i - 4)*(7*i + 2)/7
Factor -h**2 - 144*h - 284.
-(h + 2)*(h + 142)
Factor b**3/6 - 13*b**2/6 - 7*b/3.
b*(b - 14)*(b + 1)/6
Determine j so that 867*j**4 - 176664*j**3 + 8978664*j**2 + 2119968*j + 124848 = 0.
-2/17, 102
Factor 4*o**5 + 3744*o**4 + 11208*o**3 + 11200*o**2 + 3732*o.
4*o*(o + 1)**3*(o + 933)
Factor 4*s**4 - 180*s**3 - 768*s**2 - 784*s.
4*s*(s - 49)*(s + 2)**2
Factor 5*w**3 - 15*w**2.
5*w**2*(w - 3)
Factor c**4/2 - 269*c**3/2 + 9112*c**2 - 8978*c.
c*(c - 134)**2*(c - 1)/2
Factor -2*y**2 + 30*y - 100.
-2*(y - 10)*(y - 5)
Factor q**4 - 190*q**3/3 + 8833*q**2/9 + 6080*q/9 + 1024/9.
(q - 32)**2*(3*q + 1)**2/9
Suppose -5*b**3 - 1535*b**2 - 118575*b - 117045 = 0. Calculate b.
-153, -1
Factor s**3 + 234*s**2 + 465*s + 232.
(s + 1)**2*(s + 232)
Determine j, given that -6*j**5/11 - 80*j**4/11 - 164*j**3/11 - 112*j**2/11 - 2*j = 0.
-11, -1, -1/3, 0
Factor -14*w**3 - 4*w**2 + 56*w + 16.
-2*(w - 2)*(w + 2)*(7*w + 2)
What is p in -p**2 + 421*p - 3304 = 0?
8, 413
Determine r so that -20*r**4 + 48*r**3 + 132*r**2 - 464*r + 336 = 0.
-3, 7/5, 2
Factor -2*g**3/17 + 18*g**2/17 + 42*g/17 - 490/17.
-2*(g - 7)**2*(g + 5)/17
Solve -s**2/3 - 410*s/3 + 413 = 0.
-413, 3
Factor 2*g**4 - 114*g**3 + 996*g**2 - 2680*g + 2256.
2*(g - 47)*(g - 6)*(g - 2)**2
Suppose 22*h**4 + 62*h**3 + 32*h**2 - 8*h = 0. Calculate h.
-2, -1, 0, 2/11
Factor 2*y**3/9 + 214*y**2/9 + 6566*y/9 + 4802.
2*(y + 9)*(y + 49)**2/9
Factor 3*d**4/8 + 3*d**3/2 - 3*d**2/8 - 3*d/2.
3*d*(d - 1)*(d + 1)*(d + 4)/8
What is p in 2*p**4 - 10*p**3 + 10*p**2 + 10*p - 12 = 0?
-1, 1, 2, 3
Determine v so that 3*v**2/5 + 63*v/5 + 204/5 = 0.
-17, -4
Find w, given that -3*w**3/7 + 450*w**2/7 - 22500*w/7 + 375000/7 = 0.
50
Factor -b**3/6 - 9*b**2/2 - 65*b/2 - 169/6.
-(b + 1)*(b + 13)**2/6
Solve -2*l**5 - 172*l**4 + 1662*l**3 - 4528*l**2 + 3040*l = 0.
-95, 0, 1, 4
Factor 5*j**4 + 187*j**3 + 429*j**2 + 317*j + 70.
(j + 1)**2*(j + 35)*(5*j + 2)
Factor -k**2/3 - 5*k + 18.
-(k - 3)*(k + 18)/3
Suppose -g**3 - 16*g**2 + 192*g = 0. Calculate g.
-24, 0, 8
Factor 4*z**3 - 80*z**2 + 412*z - 336.
4*(z - 12)*(z - 7)*(z - 1)
Solve -3*r**2 + 3795*r - 7578 = 0 for r.
2, 1263
Solve s**3/3 + 578*s**2 + 334084*s + 193100552/3 = 0.
-578
Factor -t**3 - 508*t**2.
-t**2*(t + 508)
Determine v so that -3*v**3/5 - 9*v**2 - 144*v/5 - 132/5 = 0.
-11, -2
Factor -4*g**3 - 1494*g**2 - 9554*g - 4404.
-2*(g + 6)*(g + 367)*(2*g + 1)
Solve -48*a**4 - 140*a**3 + 14*a**2 + 6*a = 0 for a.
-3, -1/6, 0, 1/4
Find i, given that 38*i**3/5 - 118*i**2/15 + 4*i/15 = 0.
0, 2/57, 1
Factor 5*g**5/2 - 15*g**4 + 80*g**2.
5*g**2*(g - 4)**2*(g + 2)/2
Factor 30*g**2 + 2975*g + 495.
