5, 0, 2/3, 3
Factor 14*z**4 - 206*z**3 + 136*z**2 + 56*z.
2*z*(z - 14)*(z - 1)*(7*z + 2)
Suppose -4*f**4/7 + 4*f**3 - 8*f**2 + 32*f/7 = 0. What is f?
0, 1, 2, 4
Factor 5*n**3 - 50*n**2 - 115*n - 60.
5*(n - 12)*(n + 1)**2
Solve 2*c**2/9 - 2 = 0 for c.
-3, 3
Suppose -5*r**5 - 155*r**4 - 570*r**3 - 830*r**2 - 545*r - 135 = 0. What is r?
-27, -1
Find s such that -5*s**3 + 60*s**2 + 1385*s + 1320 = 0.
-11, -1, 24
Let -4*c**2/3 - 148*c + 2520 = 0. Calculate c.
-126, 15
Factor 3*w**4 + 1362*w**3 - 4104*w**2 + 4110*w - 1371.
3*(w - 1)**3*(w + 457)
Factor 2*w**3 - 160*w**2 + 4154*w - 34596.
2*(w - 31)**2*(w - 18)
Determine p, given that 98*p**4 - 1092*p**3 + 74*p**2 + 16536*p + 22472 = 0.
-2, 53/7
Factor -4*g**2 - 52*g + 120.
-4*(g - 2)*(g + 15)
Determine x, given that 5*x**4/3 - 1895*x**3/3 - 3815*x**2/3 + 1895*x/3 + 1270 = 0.
-2, -1, 1, 381
Factor 3*b**2/4 - 9*b/2.
3*b*(b - 6)/4
Factor 2*d**3 - 10*d**2 - 72*d.
2*d*(d - 9)*(d + 4)
Factor -4*l**2 + 2820*l - 5624.
-4*(l - 703)*(l - 2)
Factor -5*g**5 - 85*g**4 - 400*g**3 - 320*g**2.
-5*g**2*(g + 1)*(g + 8)**2
Suppose 4*y**4/3 - 100*y**3/3 + 452*y**2/3 + 100*y/3 - 152 = 0. Calculate y.
-1, 1, 6, 19
Suppose -5*u**3 - 2215*u**2 + 4445*u - 2225 = 0. What is u?
-445, 1
Determine v so that 5*v**2 + 230*v + 440 = 0.
-44, -2
What is n in 2*n**3/11 - 16*n**2/11 + 34*n/11 - 20/11 = 0?
1, 2, 5
Let 2*w**2/13 - 4*w - 174/13 = 0. What is w?
-3, 29
Factor 19*s**3/4 - 3*s**2/2 - 19*s/4 + 3/2.
(s - 1)*(s + 1)*(19*s - 6)/4
Factor 4*i**2/7 - 136*i/7 - 780/7.
4*(i - 39)*(i + 5)/7
Let -3*u**2/2 + 3*u/2 + 9 = 0. Calculate u.
-2, 3
Factor 245*s**3/4 + 175*s**2/2 - 65*s + 10.
5*(s + 2)*(7*s - 2)**2/4
Factor -2*d**3 - 144*d**2 - 142*d.
-2*d*(d + 1)*(d + 71)
Factor m**2/4 - 7*m - 15.
(m - 30)*(m + 2)/4
Factor 3*r**3 - 93*r**2 - 3*r + 93.
3*(r - 31)*(r - 1)*(r + 1)
Factor -9*a**3/7 + 240*a**2 - 78957*a/7 + 51894/7.
-3*(a - 93)**2*(3*a - 2)/7
Suppose 7*p**4 - 16*p**3 - 31*p**2 + 52*p - 12 = 0. Calculate p.
-2, 2/7, 1, 3
Determine t so that -t**2/2 - 13*t/2 + 57 = 0.
-19, 6
Solve -2*w**3/13 + 126*w**2/13 + 392*w/13 + 264/13 = 0 for w.
-2, -1, 66
Suppose -2*n**5/15 - 46*n**4/15 - 108*n**3/5 - 136*n**2/3 - 80*n/3 = 0. Calculate n.
-10, -2, -1, 0
Factor 3*s**2 + 60*s + 108.
3*(s + 2)*(s + 18)
Factor h**2 - 35*h + 66.
(h - 33)*(h - 2)
Factor 2*f**3/5 + 22*f**2 - 250*f + 650.
2*(f - 5)**2*(f + 65)/5
Let -2*l**2 + 150*l - 1888 = 0. Calculate l.
16, 59
Determine a, given that a**4/4 - 11*a**3 - 173*a**2/2 - 139*a - 255/4 = 0.
-5, -1, 51
Determine s so that -s**4 + 281*s**3/4 - 33*s**2/2 - 281*s/4 + 35/2 = 0.
-1, 1/4, 1, 70
Determine w, given that -2*w**2 + 156*w - 3042 = 0.
39
Factor -3*n**4 - 42*n**3 - 180*n**2 - 216*n.
-3*n*(n + 2)*(n + 6)**2
Factor 5*v**2/4 - 25*v + 125.
5*(v - 10)**2/4
Let 5*b**5 - 5*b**3 = 0. What is b?
-1, 0, 1
Factor -q**2/4 - q/2.
-q*(q + 2)/4
Factor 6*t**2/11 - 282*t/11 - 3024/11.
6*(t - 56)*(t + 9)/11
Solve -2*o**3 + 88*o**2 + 800*o + 1664 = 0.
-4, 52
Factor -5*g**3/6 - 5*g**2/2 + 10*g/3.
-5*g*(g - 1)*(g + 4)/6
Factor 5*z**3 + 20*z**2 - 580*z - 1200.
5*(z - 10)*(z + 2)*(z + 12)
Suppose 34*z**3/5 + 182*z**2/5 - 144*z/5 - 72/5 = 0. What is z?
-6, -6/17, 1
Factor -2*f**4 - 116*f**3 + 366*f**2 - 8*f - 488.
-2*(f - 2)**2*(f + 1)*(f + 61)
Factor -2*i**4/15 - 38*i**3/5 - 672*i**2/5 - 3456*i/5.
-2*i*(i + 9)*(i + 24)**2/15
Factor -15*g**2 + 13119*g + 5250.
-3*(g - 875)*(5*g + 2)
Let -26460*i**5 - 6552*i**4 - 267*i**3 - 3*i**2 = 0. Calculate i.
-1/5, -1/42, 0
Solve -a**5/7 + 12*a**3/7 + 2*a**2/7 - 27*a/7 - 18/7 = 0 for a.
-3, -1, 2, 3
Factor -4*j**4 + 224*j**3 - 3136*j**2.
-4*j**2*(j - 28)**2
Find d, given that -2*d**5/7 + 24*d**4/7 - 94*d**3/7 + 16*d**2 + 72*d/7 - 160/7 = 0.
-1, 2, 4, 5
Find s, given that -14*s**4/5 - 88*s**3/5 - 94*s**2/5 + 148*s/5 + 48/5 = 0.
-4, -3, -2/7, 1
Factor 12*i**2 - 459*i - 351.
3*(i - 39)*(4*i + 3)
Factor 2*h**4/7 + 6*h**3/7 - 90*h**2/7 + 162*h/7.
2*h*(h - 3)**2*(h + 9)/7
Factor -5*w**4 + 930*w**3 - 42305*w**2 - 87420*w - 44180.
-5*(w - 94)**2*(w + 1)**2
Let -3*t**3 + 441*t**2 + 3*t - 441 = 0. What is t?
-1, 1, 147
Suppose 2*q**5 + 178*q**4 + 176*q**3 = 0. What is q?
-88, -1, 0
Suppose 9*y**4 + 3*y**3 - 63*y**2 - 75*y - 18 = 0. What is y?
-2, -1, -1/3, 3
Find p such that -14*p**2 - 6828*p + 1952 = 0.
-488, 2/7
Suppose -4*o**5/5 + 12*o**4/5 + 44*o**3 - 92*o**2 - 216*o/5 + 448/5 = 0. What is o?
-7, -1, 1, 2, 8
Suppose -3*i**2 + 243*i - 240 = 0. Calculate i.
1, 80
Find i, given that 3*i**3 - 24*i**2 + 39*i - 18 = 0.
1, 6
Determine i, given that 8*i**4/3 + 28*i**3/3 + 12*i**2 + 20*i/3 + 4/3 = 0.
-1, -1/2
Factor -2*p**4/7 + 4*p**3 + 64*p**2/7.
-2*p**2*(p - 16)*(p + 2)/7
Suppose 28*w**5 + 180*w**4 + 2368*w**3/7 + 96*w**2 - 1088*w/7 + 192/7 = 0. What is w?
-3, -2, 2/7
Factor k**5/8 + 5*k**4/8 + 7*k**3/8 + 3*k**2/8.
k**2*(k + 1)**2*(k + 3)/8
Solve n**2 - 430*n + 46225 = 0 for n.
215
Suppose 3*r**3 - 12*r**2 - 3*r + 12 = 0. What is r?
-1, 1, 4
Suppose -2*d**2 + 1214*d = 0. What is d?
0, 607
Let 2*f**4/11 + 16*f**3/11 + 26*f**2/11 + 12*f/11 = 0. Calculate f.
-6, -1, 0
Factor -h**2/3 + 5*h + 154/3.
-(h - 22)*(h + 7)/3
Factor i**5/5 + 3*i**4/5 + 3*i**3/5 + i**2/5.
i**2*(i + 1)**3/5
Find g such that -2*g**2/17 - 182*g/17 + 372/17 = 0.
-93, 2
Determine l, given that -2*l**5/15 + 38*l**3/15 + 68*l**2/15 - 8*l/5 - 16/3 = 0.
-2, 1, 5
Let 9*t**5 + 33*t**4 - 153*t**3 - 141*t**2 + 144*t + 108 = 0. What is t?
-6, -1, -2/3, 1, 3
Solve q**2 + 28*q + 27 = 0 for q.
-27, -1
Factor 2*p**2/7 + 264*p/7.
2*p*(p + 132)/7
Determine q so that q**4 - 35*q**3 + 288*q**2 + 324*q = 0.
-1, 0, 18
Determine h, given that -3*h**5 - 61*h**4 + 49*h**3 + 149*h**2 + 42*h = 0.
-21, -1, -1/3, 0, 2
Find z such that 475*z**3 + 180*z**2 - 84*z - 32 = 0.
-2/5, 8/19
Determine t so that 2*t**4/11 - 41*t**3 - 680*t**2/11 - 227*t/11 = 0.
-1, -1/2, 0, 227
Suppose 2*z**3 + 94*z**2 + 92*z = 0. Calculate z.
-46, -1, 0
Suppose k**5 + 2*k**4 - 5*k**3 - 6*k**2 = 0. What is k?
-3, -1, 0, 2
Determine n, given that -5*n**2 + 1710*n - 146205 = 0.
171
Factor -b**4 + 11*b**3 - 4*b**2 - 60*b.
-b*(b - 10)*(b - 3)*(b + 2)
Factor 14*o**4/3 - 134*o**3/3 + 150*o**2 - 198*o + 72.
2*(o - 3)**3*(7*o - 4)/3
Let -v**4 + 570*v**3 - 80076*v**2 - 327754*v - 247107 = 0. What is v?
-3, -1, 287
Factor t**4/2 + 5*t**3/2 + 7*t**2/2 + 3*t/2.
t*(t + 1)**2*(t + 3)/2
Suppose -k**5/4 - 39*k**4/4 + 47*k**3/4 + 267*k**2/4 - 257*k/2 + 60 = 0. What is k?
-40, -3, 1, 2
Factor -w**2/3 - 4*w/3 - 4/3.
-(w + 2)**2/3
Find x such that 3*x**5/2 + 123*x**4/2 + 237*x**3/2 + 117*x**2/2 = 0.
-39, -1, 0
Factor -5*j**3 - 170*j**2 - 1765*j - 5200.
-5*(j + 5)*(j + 13)*(j + 16)
Suppose -4*k**5/3 - 20*k**4/3 + 8*k**3/3 + 56*k**2 + 84*k + 36 = 0. What is k?
-3, -1, 3
Determine a so that -a**3 - 41*a**2 + 9*a + 369 = 0.
-41, -3, 3
Determine x, given that 4*x**5 + 724*x**4 + 5632*x**3 + 16736*x**2 + 22208*x + 11072 = 0.
-173, -2
Factor -v**4/4 + v**2/4.
-v**2*(v - 1)*(v + 1)/4
Factor 2*d**2/9 - 32*d/9 - 8.
2*(d - 18)*(d + 2)/9
Factor -t**5/5 + 7*t**4/5 - 12*t**3/5 - 16*t**2/5 + 64*t/5 - 48/5.
-(t - 3)*(t - 2)**3*(t + 2)/5
Find p, given that 2*p**5/3 + 26*p**4/3 - 20*p**3 + 4*p**2/3 + 58*p/3 - 10 = 0.
-15, -1, 1
Solve 4*j**4/3 + 104*j**3/3 + 676*j**2/3 = 0 for j.
-13, 0
Factor -28*b**5 + 172*b**4 - 360*b**3 + 272*b**2 - 32*b.
-4*b*(b - 2)**3*(7*b - 1)
Factor -34*o**2/9 + 10*o/3 + 4/9.
-2*(o - 1)*(17*o + 2)/9
Let -2*i**4/7 + 12*i**3/7 - 2*i**2 - 12*i/7 + 16/7 = 0. What is i?
-1, 1, 2, 4
Find j such that 96*j**3 + 52*j**2 - 28*j = 0.
-7/8, 0, 1/3
Factor 3*v**2 + 267*v.
3*v*(v + 89)
Let v**4 + 435*v**3 + 434*v**2 = 0. Calculate v.
-434, -1, 0
Factor 5*u**2 + 380*u - 2025.
5*(u - 5)*(u + 81)
Determine p so that -4*p**5/5 + 24*p**4 - 224*p**3/5 = 0.
0, 2, 28
Let 49*d**4/2 + 1351*d**3/2 - 306*d**2 - 338*d - 56 = 0. Calculate d.
-28, -2/7, 1
Factor 6*y**4 - 367*y**3 + 4615*y**2 + 31911*y - 5445.
(y - 33)**2*(y + 5)*(6*y - 1)
Factor -d**5/3 - 2*d**4/3 + 10*d**3 + 36*d**2 + 9*d - 54.
-(d - 6)*(d - 1)*(d + 3)**3/3
Suppose 128*v**4/7 - 3296*v**3/7 + 2370*v**2/7 + 748*v/7 + 50/7 = 0. Calculate v.
-1/8, 1, 25
Determine x, given that x**5/8 + 5*x**4/8 + x**3/4 - x**2 = 0.
-4, -2, 0, 1
Factor -5*z**2 + 41950*z - 87990125.
-5*(z - 4195)**2
Factor 7*z**4/4 + 283*z**3/4 - 41*z**2.
z**2*(z + 41)*(7*z - 4)/4
What is h in -5