46*j**3 + 494*j**2 + 436*j + 112 = 0.
-7, -4, -2/3, -1/2
Find d, given that 2*d**5/3 + 14*d**4 + 238*d**3/3 + 158*d**2/3 - 80*d - 200/3 = 0.
-10, -1, 1
Let -2*m**5/7 + 62*m**4/7 - 480*m**3/7 = 0. What is m?
0, 15, 16
Determine o, given that -o**4/6 - 5*o**3/3 - 29*o**2/6 - 16*o/3 - 2 = 0.
-6, -2, -1
Determine y so that -5*y**2 - 130*y - 345 = 0.
-23, -3
Suppose -i**2 + 8*i - 15 = 0. What is i?
3, 5
Let -4*g**4 - 280*g**3 + 864*g**2 - 872*g + 292 = 0. What is g?
-73, 1
Determine b, given that b**3/3 - 3*b**2 - 16*b - 52/3 = 0.
-2, 13
Let f**2/2 + 11*f/2 - 13 = 0. What is f?
-13, 2
Find m such that -4*m**2 + 1536*m - 147456 = 0.
192
Find q such that -q**4/3 + 2*q**3 + 37*q**2/3 + 10*q = 0.
-3, -1, 0, 10
Suppose v**2/9 - 19*v/3 + 88 = 0. Calculate v.
24, 33
Solve 2*o**4 + 6*o**3 + 4*o**2 = 0.
-2, -1, 0
Factor 2*z**5/15 + 398*z**4/15 + 6666*z**3/5 + 6534*z**2/5.
2*z**2*(z + 1)*(z + 99)**2/15
Factor -3*c**4 - 6*c**3.
-3*c**3*(c + 2)
Suppose 16*i**3 + 60*i**2 - 16*i = 0. What is i?
-4, 0, 1/4
Solve h**2/10 + 23*h/10 - 39/5 = 0 for h.
-26, 3
Factor -3*o**2 - 132*o - 1452.
-3*(o + 22)**2
Factor -n**2/6 - 53*n - 8427/2.
-(n + 159)**2/6
Let -2*o**4 + 12*o**3 + 122*o**2 + 252*o + 144 = 0. Calculate o.
-3, -2, -1, 12
Factor 2*w**3 - 6*w**2 - 128*w + 384.
2*(w - 8)*(w - 3)*(w + 8)
Factor -2*b**4/11 + 8*b**3/11 - 12*b**2/11 + 8*b/11 - 2/11.
-2*(b - 1)**4/11
Let -q**5/8 - 67*q**4/8 - 152*q**3 - 767*q**2/2 + 32*q + 512 = 0. What is q?
-32, -2, 1
Let -d**3/9 + 946*d**2/9 - 105*d = 0. What is d?
0, 1, 945
Determine m, given that -m**4/4 - 4*m**3 - 39*m**2/4 = 0.
-13, -3, 0
Let -6*f**3/5 + 126*f**2/5 - 588*f/5 = 0. What is f?
0, 7, 14
Factor -5*d**3 - 70*d**2 - 300*d - 360.
-5*(d + 2)*(d + 6)**2
Factor -5*x**2 + 15*x + 440.
-5*(x - 11)*(x + 8)
Factor t**3 + 14*t**2 + 44*t + 40.
(t + 2)**2*(t + 10)
Factor 5*y**2 - 155*y.
5*y*(y - 31)
Let -5*s**2 - 10*s + 3915 = 0. Calculate s.
-29, 27
Factor -5*a**2 + 70*a + 1960.
-5*(a - 28)*(a + 14)
Factor 98*k**3 + 3024*k**2 + 2538*k + 540.
2*(k + 30)*(7*k + 3)**2
Factor -2*y**4 + 44*y**3 - 210*y**2 + 288*y.
-2*y*(y - 16)*(y - 3)**2
Determine k so that k**2 - 26*k = 0.
0, 26
Factor -o**3/2 - 6*o**2 + 45*o/2.
-o*(o - 3)*(o + 15)/2
Determine v, given that -v**2 - 60*v + 189 = 0.
-63, 3
Factor -t**3 + 433*t**2 + 1744*t + 1748.
-(t - 437)*(t + 2)**2
Factor -3*o**4 + 15*o**3 + 18*o**2.
-3*o**2*(o - 6)*(o + 1)
Find x such that -5*x**4 - 850*x**3 - 3305*x**2 + 2580*x + 14940 = 0.
-166, -3, 2
What is l in -324*l**2/7 - 67104*l/7 - 3474496/7 = 0?
-932/9
Let 2*m**3/5 + 18*m**2/5 + 48*m/5 + 8 = 0. What is m?
-5, -2
Factor 2*g**3/7 - 120*g**2/7 - 246*g/7 - 124/7.
2*(g - 62)*(g + 1)**2/7
Factor -o**2/2 - o - 1/2.
-(o + 1)**2/2
Determine k so that -3*k**3/4 - 33*k**2/2 - 45*k/4 + 189/2 = 0.
-21, -3, 2
What is n in -180*n**4 - 780*n**3 - 785*n**2 - 200*n - 15 = 0?
-3, -1, -1/6
Let r**2/2 + 25*r/2 = 0. What is r?
-25, 0
Suppose -3*m**4 - m**3 + 3*m**2 + m = 0. Calculate m.
-1, -1/3, 0, 1
Solve 2*p**5/3 - 40*p**4/3 - 146*p**3/3 + 184*p**2/3 = 0.
-4, 0, 1, 23
What is p in 2*p**4/7 - 10*p**3/7 - 2*p**2 + 82*p/7 - 60/7 = 0?
-3, 1, 2, 5
Let s**4 - 26*s**3 - 111*s**2 + 3640*s + 19600 = 0. What is s?
-7, 20
Factor x**3/2 - 20*x**2 + 377*x/2 - 169.
(x - 26)*(x - 13)*(x - 1)/2
Factor -3*v**4 - 27*v**3 - 63*v**2 - 57*v - 18.
-3*(v + 1)**3*(v + 6)
Factor r**4 + 194*r**3 + 3780*r**2 + 25774*r + 59339.
(r + 7)**3*(r + 173)
Suppose -j**2 + 3*j + 130 = 0. What is j?
-10, 13
Let -5*q**2/2 - 475*q/2 + 485 = 0. What is q?
-97, 2
Factor 2*m**4 - 9*m**3/4 - 2*m**2 + 9*m/4.
m*(m - 1)*(m + 1)*(8*m - 9)/4
Solve -3*w**2/4 + 183*w/2 = 0 for w.
0, 122
Factor -2*y**2/15 - 2284*y/15 - 2282/15.
-2*(y + 1)*(y + 1141)/15
Factor -q**2/6 - 199*q/6 - 33.
-(q + 1)*(q + 198)/6
Suppose -9*r**4 - 33*r**3 - 9*r**2 + 33*r + 18 = 0. Calculate r.
-3, -1, -2/3, 1
Suppose -2*n**5/15 - 2*n**4 - 18*n**3/5 - 26*n**2/15 = 0. What is n?
-13, -1, 0
Factor -j**4/4 - 17*j**3/4 + j**2/4 + 17*j/4.
-j*(j - 1)*(j + 1)*(j + 17)/4
Determine h so that -5*h**5 - 25*h**4 + 230*h**3 - 200*h**2 = 0.
-10, 0, 1, 4
Let -3*k**2/2 - 807*k - 217083/2 = 0. Calculate k.
-269
Solve 2*g**2/5 - 4*g/5 - 16/5 = 0 for g.
-2, 4
Factor 2*v**5 + 10*v**4 + 16*v**3 + 8*v**2.
2*v**2*(v + 1)*(v + 2)**2
Solve -3*m**5 - 15*m**4 + 78*m**3 + 294*m**2 + 309*m + 105 = 0.
-7, -1, 5
Factor v**4/4 - 5*v**3/2 + 7*v**2 - 3*v/2 - 45/4.
(v - 5)*(v - 3)**2*(v + 1)/4
Factor 3*o**5/4 - 9*o**3/2 - 6*o**2 - 9*o/4.
3*o*(o - 3)*(o + 1)**3/4
Let 2*o**3 + 40*o**2 + 178*o + 140 = 0. Calculate o.
-14, -5, -1
Suppose a**3/4 + 34*a**2 + 135*a/4 = 0. What is a?
-135, -1, 0
Factor 2*c**4 + 32*c**3 - 154*c**2 + 120*c.
2*c*(c - 3)*(c - 1)*(c + 20)
Factor -o**4 - 10*o**3 - 32*o**2 - 38*o - 15.
-(o + 1)**2*(o + 3)*(o + 5)
Factor 12*l**3 - 4*l**2 - 8*l.
4*l*(l - 1)*(3*l + 2)
Let c**3/5 - 2084*c**2/5 - 4171*c/5 - 2086/5 = 0. Calculate c.
-1, 2086
Suppose 6*l**4 - 153*l**3 - 600*l**2 - 261*l = 0. Calculate l.
-3, -1/2, 0, 29
Solve -2*w**2/7 - 164*w/7 = 0 for w.
-82, 0
Factor k**5 + 23*k**4 + 158*k**3 + 178*k**2 - 927*k + 567.
(k - 1)**2*(k + 7)*(k + 9)**2
What is g in -27*g**5 - 87*g**4 + 225*g**3 + 675*g**2 + 462*g + 72 = 0?
-4, -1, -2/9, 3
Suppose -a**5/10 - a**4/10 + 6*a**3/5 + 8*a**2/5 - 16*a/5 - 24/5 = 0. Calculate a.
-2, 2, 3
What is q in -5*q**4 + 1210*q**3 - 2405*q**2 + 1200*q = 0?
0, 1, 240
Solve 3*s**2 - 426*s - 429 = 0.
-1, 143
What is a in -4*a**3 + 368*a**2 + 3980*a + 10200 = 0?
-5, 102
Let 5*j**3/4 - 31*j**2/2 - 29*j + 14 = 0. Calculate j.
-2, 2/5, 14
Factor 2*r**5/9 - 8*r**4/3 + 10*r**3 - 100*r**2/9.
2*r**2*(r - 5)**2*(r - 2)/9
Factor 3*v**2/5 + 1182*v/5 + 2352/5.
3*(v + 2)*(v + 392)/5
Factor -y**2 - 31*y + 32.
-(y - 1)*(y + 32)
Factor -3*u**3/4 + 27*u**2/2 - 135*u/4.
-3*u*(u - 15)*(u - 3)/4
Find l such that -2*l**5/3 + 2*l**4 + 2*l**3 - 22*l**2/3 + 4*l = 0.
-2, 0, 1, 3
What is j in 392*j**4 + 504*j**3 - 118*j**2 - 180*j + 50 = 0?
-1, 5/14
Solve -q**5/2 - 4*q**4 + 5*q**3 + 4*q**2 - 9*q/2 = 0.
-9, -1, 0, 1
Let -2*r**2/7 + 456*r/7 - 25992/7 = 0. Calculate r.
114
Determine d so that 4*d**4 + 104*d**3 - 668*d**2 - 17472*d + 112896 = 0.
-21, 8
Factor 7*r**4/8 - 2*r**3 - 101*r**2/8 + 141*r/4 - 9.
(r - 3)**2*(r + 4)*(7*r - 2)/8
Find f, given that -4*f**2 - 1240*f - 3684 = 0.
-307, -3
Factor 4*a**4/5 + 20*a**3 + 188*a**2/5 + 92*a/5.
4*a*(a + 1)**2*(a + 23)/5
Factor -c**3 - 2*c**2 + 185*c + 546.
-(c - 14)*(c + 3)*(c + 13)
Factor -2*p**5/11.
-2*p**5/11
Factor -2*y**4/7 + 8*y**3/7 - 2*y**2/7 - 12*y/7.
-2*y*(y - 3)*(y - 2)*(y + 1)/7
Suppose -2*t**5/11 - 30*t**4/11 - 52*t**3/11 + 4*t**2/11 + 54*t/11 + 26/11 = 0. What is t?
-13, -1, 1
Determine l, given that -l**3/2 - 55*l**2/2 + 118*l = 0.
-59, 0, 4
Solve -882*o**5 + 2716*o**4 - 3116*o**3 + 1648*o**2 - 402*o + 36 = 0 for o.
2/9, 3/7, 1
Solve t**5 - 11*t**4 - 41*t**3 - 17*t**2 + 40*t + 28 = 0 for t.
-2, -1, 1, 14
Factor 594*z**2 - 186*z - 4.
2*(3*z - 1)*(99*z + 2)
Solve 11*g**2/2 - 439*g/4 - 5 = 0 for g.
-1/22, 20
Factor -k**3/2 + 2*k**2 + 15*k/2 - 9.
-(k - 6)*(k - 1)*(k + 3)/2
Factor 338*c**4 + 1456*c**3 + 1776*c**2 + 448*c + 32.
2*(c + 2)**2*(13*c + 2)**2
Find c such that -2*c**3/11 + 14*c**2/11 + 20*c/11 - 32/11 = 0.
-2, 1, 8
Suppose b**2 - 73*b - 150 = 0. What is b?
-2, 75
Factor -x**4 - 5*x**3 - 9*x**2 - 7*x - 2.
-(x + 1)**3*(x + 2)
Factor 5*i**3/8 - 4*i**2 - 23*i/8 + 7/4.
(i - 7)*(i + 1)*(5*i - 2)/8
Factor -14*b**3/11 + 74*b**2/11 - 20*b/11.
-2*b*(b - 5)*(7*b - 2)/11
Let -a**2 - 4353*a = 0. Calculate a.
-4353, 0
What is f in -3*f**4/5 - 12*f**3/5 + 3*f**2/5 + 12*f/5 = 0?
-4, -1, 0, 1
Solve -6*b**5/13 + 106*b**4/13 + 328*b**3/13 - 72*b**2 - 512*b/13 + 640/13 = 0.
-4, -1, 2/3, 2, 20
Determine i, given that -2*i**2/3 - 216*i = 0.
-324, 0
Factor -3*c**3/4 + 891*c**2/8 - 8325*c/2 + 4107/2.
-3*(c - 74)**2*(2*c - 1)/8
Factor d**5/3 + 2*d**4/3 - 2*d**2/3 - d/3.
d*(d - 1)*(d + 1)**3/3
Find q such that 3*q**2 + 66*q + 363 = 0.
-11
Factor 2*c**3/7 + 2536*c**2/7.
2*c**2*(c + 1268)/7
Factor -2*w**3/13 - 36*w**2/13 - 94*w/13 - 60/13.
-2*(w + 1)*(w + 2)*(w + 15)/13
Factor -2*o**5/3 + 8*o**3/3.
-2*o**3*(o - 2)*(o + 2)/3
Let g**2/6 + 5*g/3 - 16 = 0. Calculate g.
-16, 6
Find k, given that k**5/3 - 13*k**4/6 - 3*k**3/2 + 13*k**2/6 + 7*k/6 = 0.
-1, -1/2, 0, 1, 7
Suppose -2*a**5 - 10*a**4 + 4*a**3 + 20*a**2 - 2*a - 10