.
1/5, 578
Suppose 28*i**3/3 + 3788*i**2/3 - 6592*i/3 - 2192/3 = 0. What is i?
-137, -2/7, 2
Let -13*q**2/3 + 71*q/3 - 10 = 0. Calculate q.
6/13, 5
Let -2*r**4/5 + 17*r**3/5 - 37*r**2/5 - 8*r/5 + 48/5 = 0. Calculate r.
-1, 3/2, 4
Factor -5*r**2 - 5170*r - 1336445.
-5*(r + 517)**2
Factor -m**4/2 + 892*m**3 - 396939*m**2 - 796556*m - 797449/2.
-(m - 893)**2*(m + 1)**2/2
Solve -650*q**3/7 + 1299*q**2/7 - 648*q/7 - 1/7 = 0.
-1/650, 1
Solve -3*q**3/4 + 15*q**2/2 + 267*q/4 - 315/2 = 0 for q.
-7, 2, 15
Factor -n**2 - 260*n + 261.
-(n - 1)*(n + 261)
Let 3*q**5 - 36*q**4 + 48*q**3 + 126*q**2 - 51*q - 90 = 0. Calculate q.
-1, 1, 3, 10
What is j in -2*j**3/3 - 1060*j**2/3 - 3166*j/3 - 2108/3 = 0?
-527, -2, -1
Suppose 55*j**4 - 560*j**3 + 45*j**2 + 560*j - 100 = 0. Calculate j.
-1, 2/11, 1, 10
Factor -3*c**2 - 96*c + 204.
-3*(c - 2)*(c + 34)
Suppose -5*r**2 + 895*r + 900 = 0. What is r?
-1, 180
Let x**2/8 - 7*x/4 + 13/8 = 0. What is x?
1, 13
What is r in 62*r**2 + 61*r - 1 = 0?
-1, 1/62
Find r, given that 4*r**3 - 20*r**2 + 28*r - 12 = 0.
1, 3
Find l such that -12*l**5 + 15*l**4 + 57*l**3 + 21*l**2 - 9*l = 0.
-1, 0, 1/4, 3
Let -2*q**2 - 74*q + 940 = 0. Calculate q.
-47, 10
Factor l**4 + 59*l**3 + 1071*l**2 + 3969*l - 37044.
(l - 4)*(l + 21)**3
Solve u**4/7 - 3*u**3/7 - 15*u**2/7 - 17*u/7 - 6/7 = 0.
-1, 6
What is a in -4*a**3 - 92*a**2 + 312*a = 0?
-26, 0, 3
Solve -4*w**2 - 3728*w - 868624 = 0.
-466
Solve -2*d**2/11 - 320*d/11 - 1248/11 = 0 for d.
-156, -4
What is m in 5*m**5 - 80*m**4 + 85*m**3 + 2210*m**2 + 300*m - 9000 = 0?
-3, 2, 10
Factor -t**4 - 7*t**3 + 41*t**2 - 33*t.
-t*(t - 3)*(t - 1)*(t + 11)
Solve -10*v**5/9 + 86*v**4/9 - 88*v**3/3 + 320*v**2/9 - 64*v/9 - 32/3 = 0.
-2/5, 2, 3
Factor 3*i**4 + 420*i**3 + 19884*i**2 + 362880*i + 2239488.
3*(i + 16)**2*(i + 54)**2
Factor -3*n**3 - 102*n**2 + 3*n + 102.
-3*(n - 1)*(n + 1)*(n + 34)
Factor -289*u**3/6 - 187*u**2/6 + 31*u/2 - 3/2.
-(u + 1)*(17*u - 3)**2/6
Factor -a**5/3 - 2*a**4/3 + 7*a**3 + 2*a**2/3 - 116*a/3 + 40.
-(a - 2)**3*(a + 3)*(a + 5)/3
Solve -5*y**3/4 - 65*y**2/2 - 125*y/4 = 0 for y.
-25, -1, 0
Determine z so that 4*z**5/3 + 44*z**4/3 + 52*z**3 + 244*z**2/3 + 176*z/3 + 16 = 0.
-6, -2, -1
Factor -m**3 + 31*m**2 - 30*m.
-m*(m - 30)*(m - 1)
Let 3*q**5 - 12*q**4 - 48*q**3 + 318*q**2 - 531*q + 270 = 0. Calculate q.
-5, 1, 2, 3
Factor 5*x**5 - 60*x**4 - 65*x**3.
5*x**3*(x - 13)*(x + 1)
Suppose d**3 - 36*d**2 + 384*d - 1024 = 0. What is d?
4, 16
Find j, given that 25*j**4 - 185*j**3 - 1155*j**2 + 9065*j - 3430 = 0.
-7, 2/5, 7
Let -4*t**3 + 5828*t**2 + 5832*t = 0. Calculate t.
-1, 0, 1458
Determine x so that 16*x**2 + 16*x + 4 = 0.
-1/2
Suppose -9*c**3 - 35*c**2 + 49*c - 5 = 0. Calculate c.
-5, 1/9, 1
Determine d, given that 2*d**4/5 - 16*d**3/5 + 6*d**2/5 + 64*d/5 - 56/5 = 0.
-2, 1, 2, 7
Find i such that -3*i**5 - 24*i**4 + 171*i**3 - 300*i**2 + 156*i = 0.
-13, 0, 1, 2
What is r in 5*r**2 - 630*r = 0?
0, 126
Solve u**4/7 + u**3/7 - 3*u**2/7 - u/7 + 2/7 = 0 for u.
-2, -1, 1
Find f such that -3*f**5 - 21*f**4 + 9*f**3 + 165*f**2 - 150*f = 0.
-5, 0, 1, 2
Factor 58*j**2/3 - 18*j - 4/3.
2*(j - 1)*(29*j + 2)/3
Factor 3*h**4/4 - 3*h**3/2 - 18*h**2 + 75*h/2 - 75/4.
3*(h - 5)*(h - 1)**2*(h + 5)/4
Factor o**5 + 36*o**4 + 286*o**3 - 684*o**2 + 361*o.
o*(o - 1)**2*(o + 19)**2
Factor 3*j**2/7 + 78*j/7 + 45.
3*(j + 5)*(j + 21)/7
Factor -y**5/6 - 8*y**4/3 + 16*y**3 - 91*y**2/3 + 145*y/6 - 7.
-(y - 2)*(y - 1)**3*(y + 21)/6
Find t, given that -92575*t**3/9 - 23230*t**2/9 + 892*t/9 - 8/9 = 0.
-2/7, 2/115
Factor -3*j**3 - 570*j**2 + 2319*j - 1746.
-3*(j - 3)*(j - 1)*(j + 194)
Factor -12*c**4 + 16*c**3 - 4*c**2.
-4*c**2*(c - 1)*(3*c - 1)
What is y in 3*y**4 - 111*y**3 - 3483*y**2 + 3591*y = 0?
-21, 0, 1, 57
Let -2*z**2/13 - 1816*z/13 - 412232/13 = 0. What is z?
-454
Factor -a**4/2 - 3*a**3 + 4*a**2 + 3*a - 7/2.
-(a - 1)**2*(a + 1)*(a + 7)/2
Determine l, given that -2*l**4/15 + 36*l**3/5 - 1456*l**2/15 - 36*l/5 + 486/5 = 0.
-1, 1, 27
Let -68*c**2 + 64*c + 4 = 0. What is c?
-1/17, 1
Factor -7*f**3 + 362*f**2 - 4628*f - 1352.
-(f - 26)**2*(7*f + 2)
Let -44*f**3 + 84*f**2 + 8*f = 0. Calculate f.
-1/11, 0, 2
Find a, given that 2*a**4/21 - 52*a**3/21 + 16*a**2/7 + 52*a/21 - 50/21 = 0.
-1, 1, 25
Solve 3*c**3/5 - 18*c**2/5 - 39*c/5 + 126/5 = 0.
-3, 2, 7
Factor 5*m**3 - 105*m**2 - 1310*m - 1200.
5*(m - 30)*(m + 1)*(m + 8)
Solve -3*d**5/4 - 21*d**4 - 228*d**3 - 1200*d**2 - 3072*d - 3072 = 0.
-8, -4
Factor -3*m**4 - 51*m**3 + 111*m**2 - 57*m.
-3*m*(m - 1)**2*(m + 19)
Find r, given that -2*r**4 + 26*r**3 + 96*r**2 + 8*r - 128 = 0.
-2, 1, 16
Factor 5*c**4 + 20*c**3 - 140*c**2 + 160*c.
5*c*(c - 2)**2*(c + 8)
Let -3*y**3 - 27*y**2 + 198*y - 168 = 0. Calculate y.
-14, 1, 4
Determine x so that 2*x**5 - 212*x**4 + 5824*x**3 - 10816*x**2 = 0.
0, 2, 52
Determine q so that -6*q**3/7 - 328*q**2/7 - 214*q/7 + 108/7 = 0.
-54, -1, 1/3
Factor q**3 + 5*q**2 + 6*q.
q*(q + 2)*(q + 3)
Factor -3*r**4/2 + 45*r**3 + 93*r**2/2.
-3*r**2*(r - 31)*(r + 1)/2
Factor g**4/2 + 62*g**3 - 255*g**2/2 - 189*g.
g*(g - 3)*(g + 1)*(g + 126)/2
What is n in 10*n**4/9 - 2266*n**3/9 - 2596*n**2/3 - 7352*n/9 - 1840/9 = 0?
-2, -1, -2/5, 230
Factor f**2 - 105*f - 436.
(f - 109)*(f + 4)
Solve -2*w**4 - 1836*w**3 - 421360*w**2 + 1836*w + 421362 = 0 for w.
-459, -1, 1
Factor 15*v**5 + 57*v**4 + 78*v**3 + 42*v**2 + 3*v - 3.
3*(v + 1)**4*(5*v - 1)
Solve l**4/11 - 31*l**3/11 - 102*l**2/11 - 4*l/11 + 136/11 = 0 for l.
-2, 1, 34
Determine l, given that -5*l**5/3 + 15*l**4 + 20*l**3/3 - 460*l**2/3 - 80*l + 640/3 = 0.
-2, 1, 4, 8
Factor 2*r**2/3 - 92*r/3 + 30.
2*(r - 45)*(r - 1)/3
Determine m so that 8*m**3/5 + 522*m**2/5 - 398*m/5 - 132/5 = 0.
-66, -1/4, 1
Factor -c**3/4 + 7*c**2/4 + 17*c/2 - 10.
-(c - 10)*(c - 1)*(c + 4)/4
Determine k so that k**4 + 294*k**3 + 22189*k**2 + 85260*k + 84100 = 0.
-145, -2
Let -w**3/6 + 2*w**2/3 - 2*w/3 = 0. Calculate w.
0, 2
Determine r so that r**4/3 - 88*r**3/3 - 91*r**2/3 + 178*r/3 = 0.
-2, 0, 1, 89
Find n such that -3*n**3 + 123*n**2 + 126*n = 0.
-1, 0, 42
Factor 5*v**3 + 205*v**2 - 11305*v + 108375.
5*(v - 17)**2*(v + 75)
Factor -t**4 - 6*t**3 - 13*t**2 - 12*t - 4.
-(t + 1)**2*(t + 2)**2
Factor 3*f**2/4 - 3*f/4.
3*f*(f - 1)/4
Determine v so that v**3/2 - 18*v**2 + 285*v/2 + 361 = 0.
-2, 19
Factor 5*d**3 - 120*d**2 - 540*d - 560.
5*(d - 28)*(d + 2)**2
Factor -4*a**3 - 32*a**2 - 48*a.
-4*a*(a + 2)*(a + 6)
Factor d**3 + 25*d**2 + 142*d - 168.
(d - 1)*(d + 12)*(d + 14)
Suppose -2*q**5/3 + 92*q**4/3 - 454*q**3 + 6992*q**2/3 - 11552*q/3 = 0. What is q?
0, 4, 19
Factor -2*s**2 - 316*s + 318.
-2*(s - 1)*(s + 159)
Factor 4*b**4 + 32*b**3 + 60*b**2 - 16*b - 80.
4*(b - 1)*(b + 2)**2*(b + 5)
Factor -2*l**2/5 + 34*l/5 + 80.
-2*(l - 25)*(l + 8)/5
Factor -3*z**3 - 1239*z**2 - 1236*z.
-3*z*(z + 1)*(z + 412)
Find w such that 2*w**4 - 160*w**3 - 330*w**2 + 160*w + 328 = 0.
-2, -1, 1, 82
Suppose -250*h**5 + 1700*h**4 + 2280*h**3 + 944*h**2 + 128*h = 0. What is h?
-2/5, 0, 8
Solve -125*q**4 + 2650*q**3 - 3060*q**2 + 1208*q - 160 = 0.
2/5, 20
Factor -4*a**3/3 - 4*a**2 + 232*a/3 - 160.
-4*(a - 4)*(a - 3)*(a + 10)/3
Factor -2*a**3/9 + 2*a**2 + 8*a/3 - 40/9.
-2*(a - 10)*(a - 1)*(a + 2)/9
Solve -a**2/6 - 10*a - 150 = 0 for a.
-30
Factor 2*x**2/13 - 88*x/13 + 968/13.
2*(x - 22)**2/13
Factor 3*b**5 - 54*b**4 - 180*b**3 - 186*b**2 - 63*b.
3*b*(b - 21)*(b + 1)**3
Factor -2*p**3/3 + 22*p**2/3 + 40*p.
-2*p*(p - 15)*(p + 4)/3
Suppose -i**4/8 + 35*i**2/8 + 45*i/4 + 7 = 0. Calculate i.
-4, -2, -1, 7
Let 2*a**3/15 - 8*a**2/15 + 2*a/15 + 4/5 = 0. What is a?
-1, 2, 3
Factor -p**3 - 50*p**2 + p + 50.
-(p - 1)*(p + 1)*(p + 50)
Let -4*x**3 + 13076*x**2 - 10692896*x + 10679824 = 0. What is x?
1, 1634
Find a, given that -4*a**2 + 8*a + 96 = 0.
-4, 6
Solve 3*p**2/7 + 111*p/7 - 234/7 = 0.
-39, 2
Determine c, given that 5*c**2 + 80*c + 75 = 0.
-15, -1
Factor 2*k**5 - 6*k**4 - 32*k**3 - 24*k**2.
2*k**2*(k - 6)*(k + 1)*(k + 2)
Find s such that -s**5/4 + 2*s**4 - 25*s**3/4 + 19*s**2/2 - 7*s + 2 = 0.
1, 2
Find w such that 63*w**5/2 + 2649*w**4/2 + 2577*w**3/2 - 5301*w**2/2 - 240*w + 246 = 0.
-41, -2, -1/3, 2/7, 1
Factor 7*t**3 + 82*t**2 - 24*t.
t*(t + 12)*(7*t - 2)
Suppose -3*w**3/2 - 9*w**2 - 15*w/2 = 0. Calculate w.
-5, -1, 0
Determine t, given that -5*t**4 - 50*t**3 - 40*t**2 + 530*t +