g + 3)*(g + 4)
Factor -4*r**5 - 56*r**4.
-4*r**4*(r + 14)
Suppose -5*r**5/2 - 30*r**4 + 5*r**3 + 60*r**2 - 5*r/2 - 30 = 0. Calculate r.
-12, -1, 1
Suppose t**3 + 428*t**2 + 427*t = 0. What is t?
-427, -1, 0
Factor -d**4/4 + 16*d**3 - 1023*d**2/4 - 16*d + 256.
-(d - 32)**2*(d - 1)*(d + 1)/4
Solve 2*b**5/9 + 22*b**4/9 - 52*b**3/9 + 4*b**2/9 + 50*b/9 - 26/9 = 0.
-13, -1, 1
Let 63*m**5 + 192*m**4 + 129*m**3 - 12*m**2 - 12*m = 0. What is m?
-2, -1, -1/3, 0, 2/7
Factor -4*z**4 + 36*z**2 + 16*z - 48.
-4*(z - 3)*(z - 1)*(z + 2)**2
Find n such that -n**4 - 4*n**3 + 13*n**2 + 4*n - 12 = 0.
-6, -1, 1, 2
Determine y, given that -2*y**2/5 - 18*y/5 - 36/5 = 0.
-6, -3
Factor 3*g**2 + 10740*g + 9612300.
3*(g + 1790)**2
Factor 49*d**5/6 + 203*d**4/6 + 331*d**3/6 + 265*d**2/6 + 52*d/3 + 8/3.
(d + 1)**3*(7*d + 4)**2/6
Solve 4*r**2 - 296*r - 608 = 0 for r.
-2, 76
Factor y**3/2 - 7*y**2/2 + 7*y - 4.
(y - 4)*(y - 2)*(y - 1)/2
Suppose -5*z**4/3 + 28*z**3/9 + 4*z**2/9 = 0. Calculate z.
-2/15, 0, 2
Suppose 3*z**3 + 222*z**2 - 225*z = 0. Calculate z.
-75, 0, 1
Factor 3*t**2/4 - 75*t/4 - 63.
3*(t - 28)*(t + 3)/4
Factor -3*y**4/5 + 15*y**3.
-3*y**3*(y - 25)/5
What is j in -30*j**2/7 - 326*j/7 + 44/7 = 0?
-11, 2/15
Factor 2*b**2/3 - 98/3.
2*(b - 7)*(b + 7)/3
What is q in -20*q**2 - 1336*q + 1356 = 0?
-339/5, 1
Suppose -2*p**3/9 - 340*p**2/9 + 1046*p/9 + 1384/9 = 0. What is p?
-173, -1, 4
Factor h**3/4 - 51*h**2/4 + 156*h + 169.
(h - 26)**2*(h + 1)/4
Let -56*h**4/5 + 78*h**3/5 - 24*h**2/5 + 2*h/5 = 0. Calculate h.
0, 1/7, 1/4, 1
Factor 3*t**5 - 3*t**4 - 27*t**3 - 33*t**2 - 12*t.
3*t*(t - 4)*(t + 1)**3
Factor -g**3/3 + 2*g**2 + 4*g/3 - 8.
-(g - 6)*(g - 2)*(g + 2)/3
Determine m, given that -3*m**5 - 21*m**4 - 36*m**3 + 12*m**2 + 48*m = 0.
-4, -2, 0, 1
Solve -6*z**5 + 16*z**4 + 56*z**3 - 64*z**2 - 128*z = 0.
-2, -4/3, 0, 2, 4
Determine n so that -n**5 + 79*n**4/5 - 374*n**3/5 + 482*n**2/5 - 133*n/5 - 49/5 = 0.
-1/5, 1, 7
Determine m, given that 3*m**2 - 546*m - 1665 = 0.
-3, 185
Find o, given that -o**4/4 - 9*o**3/4 + 3*o**2/4 + 25*o/4 - 9/2 = 0.
-9, -2, 1
Factor -2*j**3 - 18*j**2 + 20*j.
-2*j*(j - 1)*(j + 10)
Factor -2*n**3/17 + 8*n**2/17 + 62*n/17 - 140/17.
-2*(n - 7)*(n - 2)*(n + 5)/17
Let 2*m**3/19 - 14662*m**2/19 + 26864448*m/19 + 26879112/19 = 0. What is m?
-1, 3666
Factor 2*h**3/5 + 8*h**2/5 - 256*h/5 - 1536/5.
2*(h - 12)*(h + 8)**2/5
Solve -3*v**4/5 + 1278*v**3/5 + 6441*v**2/5 + 10332*v/5 + 5172/5 = 0.
-2, -1, 431
Find g, given that -4*g**2/7 + 1576*g/7 = 0.
0, 394
Factor 2*m**4/13 + 6*m**3/13 - 30*m**2/13 + 34*m/13 - 12/13.
2*(m - 1)**3*(m + 6)/13
Let 10*t**3/11 + 104*t**2/11 + 130*t/11 + 36/11 = 0. Calculate t.
-9, -1, -2/5
Find u such that u**5/5 - 2*u**4/5 - u**3/5 + 2*u**2/5 = 0.
-1, 0, 1, 2
Factor -4*t**4 + 36*t**3 + 1920*t**2 - 23552*t.
-4*t*(t - 16)**2*(t + 23)
Let -3*z**3/2 - 42*z**2 - 225*z/2 = 0. What is z?
-25, -3, 0
What is d in 5*d**4 + 100*d**3 - 460*d**2 - 9600*d + 46080 = 0?
-16, 6
Suppose z**4/3 - 8*z**3/3 + 7*z**2 - 6*z = 0. Calculate z.
0, 2, 3
Factor 3*b**3 + 21*b**2 + 33*b + 15.
3*(b + 1)**2*(b + 5)
Factor 3*z**5 - 3*z**4 - 42*z**3 - 78*z**2 - 57*z - 15.
3*(z - 5)*(z + 1)**4
Let 5*v**4 + 485*v**3 - 5765*v**2 + 18775*v - 13500 = 0. What is v?
-108, 1, 5
What is m in -4*m**3 - 232*m**2 + 976*m - 992 = 0?
-62, 2
Factor i**2/2 + 23*i/2 + 30.
(i + 3)*(i + 20)/2
Find z such that -2*z**3/3 - 58*z**2/3 - 92*z/3 + 144 = 0.
-27, -4, 2
Solve 3*y**4 - 12*y**3 + 48*y - 48 = 0 for y.
-2, 2
Find j such that 18*j**4/11 + 438*j**3/11 + 3128*j**2/11 + 4608*j/11 - 8192/11 = 0.
-32/3, -4, 1
Factor 3*v**2 + 42*v + 147.
3*(v + 7)**2
Find r, given that -2*r**4/3 + 2*r**3/3 + 8*r**2 = 0.
-3, 0, 4
Let 4*i**3 + 104*i**2 - 604*i + 496 = 0. Calculate i.
-31, 1, 4
Factor 4*i**3 - 880*i**2 + 3472*i - 3456.
4*(i - 216)*(i - 2)**2
Factor 5*x**2 - 1470*x + 108045.
5*(x - 147)**2
Find a, given that a**5 + 11*a**4 + 7*a**3 - 31*a**2 - 8*a + 20 = 0.
-10, -2, -1, 1
Solve n**2/3 - 22*n/3 = 0.
0, 22
Factor -2*n**4 + 984*n**3 - 121032*n**2.
-2*n**2*(n - 246)**2
Suppose -3*t**4 - 120*t**3 - 1200*t**2 = 0. What is t?
-20, 0
Factor 3*t**5 + 9*t**4 - 15*t**3 - 9*t**2 + 12*t.
3*t*(t - 1)**2*(t + 1)*(t + 4)
Solve -2*q**3/17 + 1380*q**2/17 - 238050*q/17 = 0.
0, 345
Factor 2*b**2/11 - 46*b/11 - 420/11.
2*(b - 30)*(b + 7)/11
Factor -v**3/3 + 19*v**2/9 + 5*v/3 - 7/9.
-(v - 7)*(v + 1)*(3*v - 1)/9
Factor -5*i**2 + 30*i.
-5*i*(i - 6)
Solve 2*j**4 + 16*j**3 + 4*j**2 - 64*j + 42 = 0 for j.
-7, -3, 1
Suppose 4*n**3 + 400*n**2 + 6612*n - 181944 = 0. Calculate n.
-57, 14
Factor -p**2 + 3*p + 10.
-(p - 5)*(p + 2)
What is k in k**4/2 + 5*k**3 + 16*k**2 + 19*k + 15/2 = 0?
-5, -3, -1
Factor -2*t**4/7 - 6*t**3/7 + 8*t/7.
-2*t*(t - 1)*(t + 2)**2/7
Factor -2*t**2/7 + 34628*t/7 - 149887298/7.
-2*(t - 8657)**2/7
Factor 4*m**5 + 384*m**4 + 2208*m**3 + 4360*m**2 + 3612*m + 1080.
4*(m + 1)**3*(m + 3)*(m + 90)
Factor 2*u**2 + 132*u.
2*u*(u + 66)
Factor 3*w**2/7 - 1329*w/7.
3*w*(w - 443)/7
What is c in 2*c**5/7 + 92*c**4/7 + 1346*c**3/7 + 5216*c**2/7 - 14848*c/7 + 8192/7 = 0?
-16, 1
Suppose -r**4/4 - 3*r**3/2 - 9*r**2/4 = 0. What is r?
-3, 0
Suppose 2*c**4/7 - 6*c**3/7 - 32*c**2/7 - 24*c/7 = 0. Calculate c.
-2, -1, 0, 6
Factor 3*b**3 + 195*b**2 + 3069*b - 3267.
3*(b - 1)*(b + 33)**2
Factor -j**2 + 16*j + 17.
-(j - 17)*(j + 1)
Suppose k**3/2 + 43*k**2/2 + 355*k/2 + 825/2 = 0. What is k?
-33, -5
Factor c**2/2 - 151*c + 22801/2.
(c - 151)**2/2
Suppose -q**5/5 + 4*q**4 + 72*q**3/5 - 58*q**2/5 - 247*q/5 - 138/5 = 0. What is q?
-3, -1, 2, 23
Factor 4*z**3 + 76*z**2.
4*z**2*(z + 19)
Factor -y**3/5 + 298*y**2/5 - 22201*y/5.
-y*(y - 149)**2/5
Factor 5*y**2 - 220*y + 215.
5*(y - 43)*(y - 1)
What is u in 7*u**5/2 - 15*u**4/4 - 27*u**3/4 + u**2/2 = 0?
-1, 0, 1/14, 2
Solve y**4/3 - 7*y**3/3 + 5*y**2 - 3*y = 0.
0, 1, 3
Find i such that -i**3 + 156*i**2 + i - 156 = 0.
-1, 1, 156
Find q such that q**3 - 57*q**2 + 840*q - 784 = 0.
1, 28
Suppose 5*z**4 - 50*z**3 + 15*z**2 + 470*z + 400 = 0. What is z?
-2, -1, 5, 8
Let -i**3/6 + 10*i**2 - 141*i/2 + 182/3 = 0. Calculate i.
1, 7, 52
Let w**2/4 + 3*w - 85/4 = 0. What is w?
-17, 5
Determine a so that 3*a**2 + 33*a + 54 = 0.
-9, -2
What is o in -4*o**2/3 - 160*o/3 - 304/3 = 0?
-38, -2
Factor 2*d**3 - 16*d**2 + 32*d.
2*d*(d - 4)**2
Factor -5*v**4/4 - 16525*v**3/2 - 18207795*v**2 - 26765447635*v/2 - 53458097135/4.
-5*(v + 1)*(v + 2203)**3/4
Factor -2*o**3/11 - 5076*o**2/11 - 3220722*o/11.
-2*o*(o + 1269)**2/11
Factor -5*v**2 - 15*v + 90.
-5*(v - 3)*(v + 6)
Determine r so that -r**5/9 + r**4/3 + 5*r**3/9 - 3*r**2 + 32*r/9 - 4/3 = 0.
-3, 1, 2
Factor 5*n**4 + 40*n**3 + 75*n**2.
5*n**2*(n + 3)*(n + 5)
Factor 5*o**2 + 1530*o + 117045.
5*(o + 153)**2
Factor -10*k**2 + 235*k + 120.
-5*(k - 24)*(2*k + 1)
Factor -2*c**3/11 + 4*c**2/11 + 96*c/11.
-2*c*(c - 8)*(c + 6)/11
Factor -s**2/11 - 27*s/11 - 26/11.
-(s + 1)*(s + 26)/11
Solve 15*s**4 - 17*s**3 + 2*s**2 = 0.
0, 2/15, 1
Factor 5*w**3 - 2430*w**2 + 393660*w - 21257640.
5*(w - 162)**3
Let 2*c**2/23 + 900*c/23 + 101250/23 = 0. Calculate c.
-225
Determine n, given that -45*n**5 + 228*n**4 - 389*n**3 + 262*n**2 - 76*n + 8 = 0.
1/3, 2/5, 2
Find m such that 2*m**4 + 394*m**3/3 - 596*m**2 + 744*m - 560/3 = 0.
-70, 1/3, 2
Suppose -2*l**2/17 + 372*l/17 - 17298/17 = 0. Calculate l.
93
Factor -3*z**2 + 342*z - 9747.
-3*(z - 57)**2
Factor -k**4/3 + 103*k**3/3 + 209*k**2/3 + 35*k.
-k*(k - 105)*(k + 1)**2/3
Factor -2*a**2/11 + 7852*a/11 - 7706738/11.
-2*(a - 1963)**2/11
Determine b so that b**2 + 4*b - 12 = 0.
-6, 2
Solve g**2/4 - 47*g/2 + 93/4 = 0.
1, 93
Find u such that -2*u**4/11 + 2*u**3/11 + 2*u**2/11 - 2*u/11 = 0.
-1, 0, 1
Find o such that 2*o**4 + 84*o**3 + 606*o**2 + 364*o - 1056 = 0.
-33, -8, -2, 1
Factor x**5/2 + 2*x**4 - 7*x**3 - 28*x**2 - 59*x/2 - 10.
(x - 4)*(x + 1)**3*(x + 5)/2
Let k**5/3 + k**4/3 - 61*k**3/3 + 251*k**2/3 - 124*k + 60 = 0. Calculate k.
-10, 1, 2, 3
Let -v**2 - 188*v = 0. Calculate v.
-188, 0
Suppose -129*o**3 - 261*o**2 - 6*o = 0. Calculate o.
-2, -1/43, 0
Let -3*w**2 + 12*w + 15 = 0. Calculate w.
-1, 5
Factor 4*y**2 - 11216*y + 7862416.
4*(y - 1402)**2
Suppose -21*d**5 - 24*d**4 + 267*d**3 + 54*d**2 - 216*d = 0. Calculate d.
-4, -1, 0, 6/7, 3
Suppose -4*l**4 + 232*l**3 - 448*l**2 = 0. What is l?
0, 2, 56
Solve -q**3/5 - 2*q**2/