a.
-2*a*(a - 7)*(a - 2)/7
Factor k**3/7 - k**2/7 - 16*k/7 - 20/7.
(k - 5)*(k + 2)**2/7
Let -10*r**4/19 + 4*r**3 + 222*r**2/19 + 176*r/19 + 40/19 = 0. Calculate r.
-1, -2/5, 10
Factor -b**2/11 - 3*b + 70/11.
-(b - 2)*(b + 35)/11
Factor -x**3/6 + 17*x**2/6 - 40*x/3 + 32/3.
-(x - 8)**2*(x - 1)/6
Factor -j**2/3 - 186*j - 557/3.
-(j + 1)*(j + 557)/3
Solve -4*p**4 + 4*p**3 + 12*p**2 - 4*p - 8 = 0 for p.
-1, 1, 2
Factor -h**5/8 + h**3/2 - h**2/4 - 3*h/8 + 1/4.
-(h - 1)**3*(h + 1)*(h + 2)/8
Factor 4*j**4/7 + 60*j**3/7 + 92*j**2/7 - 156*j/7.
4*j*(j - 1)*(j + 3)*(j + 13)/7
Let 440*r**5/3 - 12*r**4 - 97*r**3/6 - r**2 = 0. Calculate r.
-1/4, -3/44, 0, 2/5
What is c in -17*c**5/10 - 24*c**4 - 11*c**3/10 + 24*c**2 + 14*c/5 = 0?
-14, -1, -2/17, 0, 1
Suppose -3*d**2/5 + 24*d/5 + 99/5 = 0. What is d?
-3, 11
Solve 2*h**4/3 - 12*h**3 - 2*h**2/3 + 12*h = 0 for h.
-1, 0, 1, 18
Factor -x**3/2 + x**2/2 + 9*x/2 - 9/2.
-(x - 3)*(x - 1)*(x + 3)/2
Find a such that a**5 - 9*a**4 + 29*a**3 - 43*a**2 + 30*a - 8 = 0.
1, 2, 4
Find i, given that -5*i**3 + 15*i**2 + 30*i - 40 = 0.
-2, 1, 4
Factor -2*y**3/3 + 32*y + 256/3.
-2*(y - 8)*(y + 4)**2/3
Factor 3*g**3/2 + 189*g**2 - 3*g/2 - 189.
3*(g - 1)*(g + 1)*(g + 126)/2
Factor -w**3 - 20*w**2 - 87*w + 108.
-(w - 1)*(w + 9)*(w + 12)
What is t in -4*t**4/5 + 14*t**3/5 - 2*t**2/5 - 32*t/5 + 24/5 = 0?
-3/2, 1, 2
Suppose -j**5/3 - 109*j**4 + 1985*j**3/3 - 1439*j**2 + 3992*j/3 - 444 = 0. What is j?
-333, 1, 2
Factor 2*d**3 + 130*d**2/7 + 232*d/7 + 8.
2*(d + 2)*(d + 7)*(7*d + 2)/7
Factor l**4/4 + 427*l**3/4 + 851*l**2/4 + 425*l/4.
l*(l + 1)**2*(l + 425)/4
Let 2*h**2/9 - 88*h/3 + 968 = 0. What is h?
66
Factor 2*s**2/15 + 706*s/15 - 236/5.
2*(s - 1)*(s + 354)/15
Suppose -4*y**3 - 138*y**2 + 1080*y + 574 = 0. Calculate y.
-41, -1/2, 7
Factor 2*f**3 - 14*f**2 - 272*f - 256.
2*(f - 16)*(f + 1)*(f + 8)
Suppose k**5/9 + 8*k**4/9 - 7*k**3/3 - 8*k**2/9 + 20*k/9 = 0. Calculate k.
-10, -1, 0, 1, 2
Let 3*m**2/8 - 201*m/4 + 399/8 = 0. Calculate m.
1, 133
Factor 3*t**3/5 - 267*t**2/5 + 1161*t + 1215.
3*(t - 45)**2*(t + 1)/5
Find j such that 3*j**5 - 21*j**4 + 51*j**3 - 51*j**2 + 18*j = 0.
0, 1, 2, 3
Factor -2*x**4 + 302*x**3 + 304*x**2.
-2*x**2*(x - 152)*(x + 1)
Factor 5*l**2 - 205*l - 1150.
5*(l - 46)*(l + 5)
Find b, given that -3*b**4 - 162*b**3 - 3276*b**2 - 29400*b - 98784 = 0.
-14, -12
Determine d, given that d**4 - 20*d**3 - 45*d**2 + 20*d + 44 = 0.
-2, -1, 1, 22
Suppose -20*v**3 - 45*v**2 + 150*v + 40 = 0. Calculate v.
-4, -1/4, 2
Find t such that 21*t**5/4 + 111*t**4/4 - 255*t**3 - 75*t**2 = 0.
-10, -2/7, 0, 5
Factor 4*q**2 - 39608*q + 98049604.
4*(q - 4951)**2
Factor -4*n**2 - 116*n - 816.
-4*(n + 12)*(n + 17)
Factor -2*c**2/11 + 500*c/11 - 31250/11.
-2*(c - 125)**2/11
What is j in -2*j**5/17 - 4*j**4/17 + 26*j**3/17 + 76*j**2/17 + 48*j/17 = 0?
-3, -2, -1, 0, 4
Suppose 3*r**2/2 - 627*r/2 + 621 = 0. Calculate r.
2, 207
Factor -10*z**2 + 3436*z + 1376.
-2*(z - 344)*(5*z + 2)
Determine a, given that a**3/4 + 161*a**2/4 + 1640*a + 1600 = 0.
-80, -1
Suppose -2*m**4 + 6*m**3 + 8*m**2 - 24*m = 0. What is m?
-2, 0, 2, 3
Factor -55*d**4 - 415*d**3 - 680*d**2 + 400*d.
-5*d*(d + 4)**2*(11*d - 5)
What is c in 7*c**5 - 51*c**4 - 175*c**3 - 149*c**2 - 12*c + 20 = 0?
-1, 2/7, 10
Suppose -10*m**5/7 + 26*m**4/7 - 18*m**3/7 - 2*m**2/7 + 4*m/7 = 0. What is m?
-2/5, 0, 1
Solve 2*l**2 - 6236*l + 4860962 = 0 for l.
1559
Suppose -5*u**3 - 75*u**2 - 280*u - 300 = 0. What is u?
-10, -3, -2
Factor 102*j**3/11 - 100*j**2/11 - 2*j/11.
2*j*(j - 1)*(51*j + 1)/11
Factor 5*q**3 - 5*q**2 - 185*q - 175.
5*(q - 7)*(q + 1)*(q + 5)
Find w such that -12*w**3 + 20*w**2 - 4*w - 4 = 0.
-1/3, 1
Solve 18*i**3 - 30*i**2 - 64*i - 24 = 0 for i.
-2/3, 3
Suppose -3*b**4/4 - 9*b**3/4 + 3*b**2/2 + 9*b + 6 = 0. What is b?
-2, -1, 2
Factor -2*v**4/3 + 242*v**3/3 - 2480*v**2 + 2400*v.
-2*v*(v - 60)**2*(v - 1)/3
Factor 5*z**2 + 40*z - 45.
5*(z - 1)*(z + 9)
Find h, given that 68*h**5 + 808*h**4 + 1400*h**3 - 5888*h**2 + 4004*h - 392 = 0.
-7, 2/17, 1
Solve 10*f**4/3 + 25*f**3 + 115*f**2/3 - 40*f - 80/3 = 0.
-4, -1/2, 1
Suppose -5*a**4 - 30*a**3 + 260*a**2 - 210*a - 495 = 0. Calculate a.
-11, -1, 3
Suppose -s**2/2 - 5*s/2 - 2 = 0. Calculate s.
-4, -1
Find q such that 15*q**5 + 273*q**4 + 1254*q**3 - 30*q**2 - 1269*q - 243 = 0.
-9, -1, -1/5, 1
Factor 3*a**4 + 11*a**3 - 56*a**2/3 + 20*a/3.
a*(a + 5)*(3*a - 2)**2/3
Factor 3*a**5 + 27*a**4 - 219*a**3 - 1755*a**2 + 1944*a.
3*a*(a - 8)*(a - 1)*(a + 9)**2
Let 2*k**5/7 + 24*k**4/7 + 14*k**3 + 132*k**2/7 - 64*k/7 - 192/7 = 0. What is k?
-4, -3, -2, 1
Factor 3*w**2 - 24*w - 27.
3*(w - 9)*(w + 1)
Solve 2*f**3/11 - 4*f**2/11 - 16*f/11 = 0.
-2, 0, 4
Solve -5*s**2 + 135*s - 360 = 0 for s.
3, 24
Let -5*q**3 - 50*q**2 - 135*q - 90 = 0. Calculate q.
-6, -3, -1
Solve -4*t**5 + 624*t**4 + 3836*t**3 + 8376*t**2 + 7760*t + 2592 = 0 for t.
-2, -1, 162
Suppose 3*w**5 + 21*w**4 + 9*w**3 - 57*w**2 - 12*w + 36 = 0. What is w?
-6, -2, -1, 1
Let 2*w**5/9 + 22*w**4/9 + 20*w**3/3 - 44*w**2/9 - 190*w/9 + 50/3 = 0. What is w?
-5, -3, 1
Suppose -x**3/3 - 11*x**2/3 - 23*x/3 + 35/3 = 0. What is x?
-7, -5, 1
Factor -4*d**4 - 805*d**3 - 54069*d**2 - 1216519*d - 300763.
-(d + 67)**3*(4*d + 1)
Determine b so that 4*b**4 + 24*b**3 + 12*b**2 - 40*b = 0.
-5, -2, 0, 1
Suppose 2*o**4/11 + 2*o**3/11 - 6*o**2/11 - 10*o/11 - 4/11 = 0. What is o?
-1, 2
Solve -2*v**3/7 + 2*v + 12/7 = 0.
-2, -1, 3
Factor 2*g**5/9 + 8*g**4/9 + 2*g**3/3.
2*g**3*(g + 1)*(g + 3)/9
Suppose -2*f**2/5 - 8*f - 102/5 = 0. What is f?
-17, -3
Factor -p**2 - 421*p.
-p*(p + 421)
Determine x so that x**3/3 + 24*x**2 + 92*x + 272/3 = 0.
-68, -2
Factor 13*d**2 - d.
d*(13*d - 1)
Find b such that -2*b**5/3 - 20*b**4/3 - 64*b**3/3 - 64*b**2/3 = 0.
-4, -2, 0
Suppose 5*d**3 - 440*d**2 - 895*d - 450 = 0. What is d?
-1, 90
Suppose -2*x**3/3 + 8*x**2/3 - 2*x/3 - 4 = 0. What is x?
-1, 2, 3
Solve 2*k**3/3 - 98*k**2/3 - 202*k/3 - 34 = 0 for k.
-1, 51
Factor -36*g**3 - 52*g**2 + 56*g + 32.
-4*(g - 1)*(g + 2)*(9*g + 4)
Let -735*f**4/4 - 399*f**3/4 + 279*f**2/2 + 120*f + 24 = 0. Calculate f.
-4/7, -2/5, 1
Find s such that -4*s**2 + 84*s + 1408 = 0.
-11, 32
Solve -2*p**4 - 1730*p**3 + 1736*p**2 + 3464*p = 0 for p.
-866, -1, 0, 2
Factor 4*x**4 - 32*x**3 + 60*x**2 + 32*x - 64.
4*(x - 4)**2*(x - 1)*(x + 1)
Suppose -n**5 + 2*n**3 - n = 0. What is n?
-1, 0, 1
Solve p**3 + 2118*p**2 + 1119360*p - 2247200 = 0 for p.
-1060, 2
Solve s**3/7 - 256*s**2/7 + 255*s/7 = 0 for s.
0, 1, 255
Solve z**3/11 - 18*z**2/11 + 83*z/11 - 6 = 0 for z.
1, 6, 11
Factor -h**3 - 15*h**2 - 59*h - 45.
-(h + 1)*(h + 5)*(h + 9)
Suppose 16*w**4/5 - 252*w**3/5 - 624*w**2/5 - 428*w/5 - 72/5 = 0. What is w?
-1, -1/4, 18
Suppose -2*y**4 - 22*y**3 - 78*y**2 - 98*y - 40 = 0. Calculate y.
-5, -4, -1
Factor -f**4 + 3*f**3 + f**2 - 3*f.
-f*(f - 3)*(f - 1)*(f + 1)
Factor -a**2/2 + 99*a + 200.
-(a - 200)*(a + 2)/2
Factor -i**2 + 308*i.
-i*(i - 308)
Determine m so that 5*m**2 - 80*m = 0.
0, 16
Factor c**4 - 226*c**3.
c**3*(c - 226)
Find f, given that 4*f**2 + 2304*f - 2308 = 0.
-577, 1
Factor -3*i**4 + 42*i**3 - 75*i**2 + 36*i.
-3*i*(i - 12)*(i - 1)**2
Solve 2*m**3 + 514*m**2 - 520*m - 1032 = 0.
-258, -1, 2
Solve -g**4/3 - 2*g**3/3 + 4*g**2/3 + 8*g/3 = 0.
-2, 0, 2
Suppose -2*t**2 - 16*t - 14 = 0. Calculate t.
-7, -1
What is x in x**3/9 - 592*x**2/9 - 1187*x/9 - 66 = 0?
-1, 594
Factor -2*h**5/7 + 4*h**3/7 - 2*h/7.
-2*h*(h - 1)**2*(h + 1)**2/7
Solve d**2/3 - 13*d/3 - 10 = 0.
-2, 15
Let 4*t**3/9 + 28*t**2/9 - 136*t/9 - 160/9 = 0. What is t?
-10, -1, 4
Find o, given that -3*o**4 - 30*o**3 + 21*o**2 + 192*o - 180 = 0.
-10, -3, 1, 2
Suppose 5*a**4/3 + 25*a**3/6 - 35*a**2/3 - 25*a/6 + 10 = 0. What is a?
-4, -1, 1, 3/2
Let 2*l**5/5 - 92*l**4/5 + 346*l**3/5 - 424*l**2/5 + 168*l/5 = 0. What is l?
0, 1, 2, 42
Solve -t**2/9 + 7*t/9 - 4/3 = 0.
3, 4
Determine z, given that z**4/8 + 5*z**3/2 + 6*z**2 - 72*z = 0.
-12, 0, 4
Factor -t**2/3 - 8*t - 48.
-(t + 12)**2/3
Factor -5*j**3 - 160*j**2 + 175*j + 330.
-5*(j - 2)*(j + 1)*(j + 33)
Find k, given that -k**2/3 - 10*k/3 - 3 = 0.
-9, -1
Solve 3*s**3 - 9*s**2 + 6*s = 0 for s.
0, 1, 2
Factor 5*k**3 - 130*k**2 - 1280*k - 2720.
5*(k - 34)*(k + 4)**2
Factor -75*p**2 + 180*p - 108.
-3*(5*p - 6)**2
Let 2*q**3/7 - 2*q**2/7 - 10*q/7 - 6/7 = 0. What is q?
-1, 3
Find