-10*j**4/3 + 2564*j**3/3 - 1024*j**2/3.
-2*j**2*(j - 256)*(5*j - 2)/3
What is t in 4*t**2 - 108*t - 640 = 0?
-5, 32
Let -v**2 + 117*v = 0. What is v?
0, 117
Suppose 5*w**3 - 20*w**2 - 55*w + 150 = 0. Calculate w.
-3, 2, 5
Suppose -2*a**4 - 21*a**3 - 36*a**2 - 17*a = 0. Calculate a.
-17/2, -1, 0
Factor -155*t**2/6 + 305*t/3 + 20/3.
-5*(t - 4)*(31*t + 2)/6
Suppose -2*x**4/7 - 14*x**3 + 110*x**2/7 + 506*x/7 + 300/7 = 0. Calculate x.
-50, -1, 3
Let 2*z**2/17 - 92*z/17 + 90/17 = 0. Calculate z.
1, 45
Factor -n**4 - 2*n**3 + 3*n**2.
-n**2*(n - 1)*(n + 3)
Solve 3*h**4 + 549*h**3 + 25920*h**2 + 72900*h = 0.
-90, -3, 0
Suppose p**5 + 6*p**4 + 8*p**3 - 6*p**2 - 9*p = 0. Calculate p.
-3, -1, 0, 1
Factor -4*u**2 + 204*u + 208.
-4*(u - 52)*(u + 1)
Find u such that 3*u**5/2 + 105*u**4/2 - 3*u**3 - 105*u**2 + 3*u/2 + 105/2 = 0.
-35, -1, 1
Factor -2*k**2/3 + 2252*k/3 - 633938/3.
-2*(k - 563)**2/3
Factor 2*v**3 - 62*v**2.
2*v**2*(v - 31)
Factor -l**2/3 - 203*l/3.
-l*(l + 203)/3
Factor -i**3/3 + 442*i**2/3 - 881*i/3 + 440/3.
-(i - 440)*(i - 1)**2/3
Suppose g**3 - 5*g**2 - 264*g + 540 = 0. Calculate g.
-15, 2, 18
Factor -243*t**4/8 - 837*t**3/8 - 42*t**2 - 9*t/2.
-3*t*(t + 3)*(9*t + 2)**2/8
Factor -q**4/5 + 6*q**3/5 + 5*q**2 + 18*q/5.
-q*(q - 9)*(q + 1)*(q + 2)/5
Suppose -21*j**4/5 + 68*j**3/5 - 9*j**2/5 - 18*j/5 = 0. Calculate j.
-3/7, 0, 2/3, 3
Factor 3*h**4/7 - 39*h**3/7 - 135*h**2/7 - 141*h/7 - 48/7.
3*(h - 16)*(h + 1)**3/7
Factor 25*b**3 + 1645*b**2 - 2005*b + 335.
5*(b - 1)*(b + 67)*(5*b - 1)
Factor 3*w**2/4 - 195*w + 387.
3*(w - 258)*(w - 2)/4
Suppose -4*a**3 - 40*a**2 - 68*a - 32 = 0. Calculate a.
-8, -1
Factor 5*k**5 + 130*k**4 - 135*k**3.
5*k**3*(k - 1)*(k + 27)
Suppose -i**4 - 4*i**3 + 3*i**2 + 10*i - 8 = 0. Calculate i.
-4, -2, 1
Factor -53787556*d**3 - 53728884*d**2 + 58656*d - 16.
-4*(d + 1)*(3667*d - 2)**2
Solve -147*b**4/8 + 1575*b**3/8 - 5883*b**2/8 + 8829*b/8 - 2187/4 = 0 for b.
1, 2, 27/7
Factor 3*r**2/2 + 15*r/2 - 9.
3*(r - 1)*(r + 6)/2
Factor 2*g**3/15 - 8*g**2/15 + 2*g/15 + 4/5.
2*(g - 3)*(g - 2)*(g + 1)/15
Factor k**2/4 - 2*k + 3.
(k - 6)*(k - 2)/4
Suppose 12*k**2 - 51*k + 12 = 0. What is k?
1/4, 4
What is z in z**2 + 1326*z + 439569 = 0?
-663
Solve 15*h**3 - 63*h**2 - 150*h - 72 = 0 for h.
-1, -4/5, 6
Solve -2*o**3/5 + 14*o**2/5 + 42*o/5 - 54/5 = 0 for o.
-3, 1, 9
Factor -c**4 - 3*c**3 + 6*c**2 + 8*c.
-c*(c - 2)*(c + 1)*(c + 4)
Suppose 4*o**3/9 - 116*o**2/9 - 268*o/3 - 140 = 0. What is o?
-3, 35
Suppose 18*v**2 - 104*v - 24 = 0. What is v?
-2/9, 6
Solve -15*y**5 - 156*y**4 - 285*y**3 + 60*y**2 + 300*y + 96 = 0.
-8, -2, -1, -2/5, 1
Factor 3*v**4 - 729*v**3 - 2214*v**2 - 12*v + 2952.
3*(v - 246)*(v - 1)*(v + 2)**2
Factor 2*z**2/15 + 2764*z/15 - 922/5.
2*(z - 1)*(z + 1383)/15
Factor -u**3/7 + u**2/7 + u/7 - 1/7.
-(u - 1)**2*(u + 1)/7
Let p**5 - 17*p**4 - 85*p**3 + 17*p**2 + 84*p = 0. Calculate p.
-4, -1, 0, 1, 21
Find k, given that -5*k**2 + 250*k - 3125 = 0.
25
Factor 2*y**2/19 + 680*y/19 + 57800/19.
2*(y + 170)**2/19
Factor -b**3/4 + 405*b**2/2 - 54675*b + 4920750.
-(b - 270)**3/4
Factor x**4 + x**3.
x**3*(x + 1)
Solve -2*f**3/3 - 6*f**2 + 72 = 0.
-6, 3
Factor 3*l**2 + 27888*l + 64811712.
3*(l + 4648)**2
Factor -5*g**4 - 50*g**3 + 5*g**2 + 50*g.
-5*g*(g - 1)*(g + 1)*(g + 10)
Factor -2*u**4 + 40*u**3 - 262*u**2 + 608*u - 384.
-2*(u - 8)**2*(u - 3)*(u - 1)
Suppose -3*m**5/4 - 3*m**4 + 3*m**3/2 + 9*m**2 - 27*m/4 = 0. What is m?
-3, 0, 1
Factor -5*f**5/3 + 140*f**4/3 - 265*f**3/3 + 130*f**2/3.
-5*f**2*(f - 26)*(f - 1)**2/3
Solve -7*x**5/2 + 27*x**4 + 149*x**3/2 + 54*x**2 + 10*x = 0 for x.
-1, -2/7, 0, 10
Determine u so that 7*u**4/4 + 51*u**3/4 + 91*u**2/4 + 57*u/4 + 5/2 = 0.
-5, -1, -2/7
Factor -4*f**3 - 84*f**2 - 396*f - 540.
-4*(f + 3)**2*(f + 15)
Suppose 507*i**3 - 7059*i**2 + 27720*i - 21168 = 0. What is i?
1, 84/13
Solve -a**2/3 - 340*a/3 = 0.
-340, 0
Factor -2*z**4 + 4*z**3 + 2*z**2 - 4*z.
-2*z*(z - 2)*(z - 1)*(z + 1)
Factor 2*p**3/9 + 424*p**2/9 + 21146*p/9 - 47524/3.
2*(p - 6)*(p + 109)**2/9
Factor -2*i**2 - 386*i + 388.
-2*(i - 1)*(i + 194)
Let 5*c**4 - 210*c**3 - 220*c**2 + 210*c + 215 = 0. What is c?
-1, 1, 43
Let 30*h**3 - 25*h**2 - 5*h = 0. What is h?
-1/6, 0, 1
Factor -2*z**3 + 46*z**2 - 120*z.
-2*z*(z - 20)*(z - 3)
Let 3*l**2/4 - 3861*l/4 + 1929/2 = 0. Calculate l.
1, 1286
Factor -2*h**2 - 210*h + 212.
-2*(h - 1)*(h + 106)
Factor -2*y**2/13 - 56*y/13 - 192/13.
-2*(y + 4)*(y + 24)/13
Factor -2*u**3 + 17064*u**2 - 36397512*u.
-2*u*(u - 4266)**2
Factor -2*n**2/5 + 4*n/5 - 2/5.
-2*(n - 1)**2/5
Factor -w**3/7 - 22*w**2/7 - 37*w/7 + 60/7.
-(w - 1)*(w + 3)*(w + 20)/7
Factor 2*x**3/7 - 1156*x**2/7 + 2306*x/7 - 1152/7.
2*(x - 576)*(x - 1)**2/7
Determine y, given that 3*y**2 + 45*y - 228 = 0.
-19, 4
Determine o, given that 2*o**2/7 - 74*o/7 + 72/7 = 0.
1, 36
Factor z**3/4 + 10*z**2 + 377*z/4 - 209/2.
(z - 1)*(z + 19)*(z + 22)/4
Solve -14*v**4/9 - 4*v**3/3 + 10*v**2/3 - 4*v/9 = 0 for v.
-2, 0, 1/7, 1
Factor -o**3/2 + 7*o**2 - 49*o/2.
-o*(o - 7)**2/2
Solve 21*l**2 - 207*l - 228 = 0.
-1, 76/7
Factor x**5 + 18*x**4 + 108*x**3 + 216*x**2.
x**2*(x + 6)**3
Factor -5*r**3 + 40*r**2 + 380*r + 560.
-5*(r - 14)*(r + 2)*(r + 4)
Suppose -5*j**2 - 1970*j - 1965 = 0. Calculate j.
-393, -1
Solve -15*x**3 - 50*x**2 + 45*x + 20 = 0.
-4, -1/3, 1
Suppose -2*g**3 + 102*g**2 + 432*g + 440 = 0. Calculate g.
-2, 55
Factor 9*l**4/2 - 152*l**3 - 383*l**2/2 - 35*l.
l*(l - 35)*(l + 1)*(9*l + 2)/2
Factor 4*j**2 + 1096*j + 75076.
4*(j + 137)**2
Suppose -5*t**4 + 10*t**3 + 15*t**2 = 0. What is t?
-1, 0, 3
Factor 5*n**3 + 2635*n**2 + 5255*n + 2625.
5*(n + 1)**2*(n + 525)
Find p such that p**3 + 34*p**2 - 415*p + 1100 = 0.
-44, 5
Factor 2*a**5/23 + 22*a**4/23 - 50*a**3/23 + 26*a**2/23.
2*a**2*(a - 1)**2*(a + 13)/23
Determine z, given that z**5/5 - 64*z**4/5 + 958*z**3/5 + 2112*z**2/5 + 1089*z/5 = 0.
-1, 0, 33
Factor 864*q**5 - 9936*q**4 + 25992*q**3 + 14692*q**2 + 2544*q + 144.
4*(q - 6)**2*(6*q + 1)**3
Let -2*v**4/21 - 10*v**3/21 + 6*v**2 - 86*v/21 - 220/21 = 0. Calculate v.
-11, -1, 2, 5
What is x in -x**5 + 6*x**4 - 11*x**3 + 2*x**2 + 12*x - 8 = 0?
-1, 1, 2
Factor -34*r**2 + 1670*r - 196.
-2*(r - 49)*(17*r - 2)
Factor v**2/9 - 4*v.
v*(v - 36)/9
Factor 3*h**2 - 30*h.
3*h*(h - 10)
Determine w so that 2*w**4/13 + 1080*w**3 + 2843100*w**2 + 3326427000*w + 1459469846250 = 0.
-1755
Let l**3 + 16*l**2 - 4*l - 64 = 0. Calculate l.
-16, -2, 2
Factor -5*g**3 + 10*g**2.
-5*g**2*(g - 2)
Solve 3*i**4 + 27*i**3 - 63*i**2 + 33*i = 0.
-11, 0, 1
Solve -d**2/2 - 5*d/2 + 7 = 0.
-7, 2
Factor -2*q**3/7 - 172*q**2/7 - 48*q.
-2*q*(q + 2)*(q + 84)/7
Solve -v**2/4 - 644*v - 414736 = 0.
-1288
Factor -3*l**5 - 36*l**4 - 96*l**3 + 210*l**2 + 675*l - 750.
-3*(l - 2)*(l - 1)*(l + 5)**3
Find a, given that -a**3 - 369*a**2/2 + 557*a/2 - 93 = 0.
-186, 1/2, 1
Let -v**2 + 358*v - 32041 = 0. Calculate v.
179
Solve 2*i**5 + 46*i**4 - 222*i**3 - 126*i**2 + 972*i = 0 for i.
-27, -2, 0, 3
Factor 3*j**3 - 1890*j**2 + 299556*j - 591576.
3*(j - 314)**2*(j - 2)
Determine z so that -3*z**3 + 48*z**2 + 3*z - 48 = 0.
-1, 1, 16
What is k in 2*k**5/7 - 8*k**4/7 + 12*k**3/7 - 8*k**2/7 + 2*k/7 = 0?
0, 1
Factor -5*r**2 + 3840*r - 737280.
-5*(r - 384)**2
Find m such that -3*m**3 - 402*m**2 + 813*m - 408 = 0.
-136, 1
Factor 16*w**3/7 - 404*w**2/7 + 88*w/7 + 300/7.
4*(w - 25)*(w - 1)*(4*w + 3)/7
What is n in -2*n**3 - 68*n**2 + 144*n = 0?
-36, 0, 2
Let -4*u**3 - 900*u**2 - 67500*u - 1687500 = 0. What is u?
-75
Let y**2/3 + 1766*y/3 + 779689/3 = 0. What is y?
-883
Factor -16*k**3/5 - 66*k**2/5 - 72*k/5 - 8/5.
-2*(k + 2)**2*(8*k + 1)/5
Factor 175*o**5 - 145*o**4 - 30*o**3.
5*o**3*(o - 1)*(35*o + 6)
Determine f, given that 2*f**5/7 + 62*f**4/7 + 600*f**3/7 + 832*f**2/7 - 15872*f/7 - 61440/7 = 0.
-12, -8, 5
Factor p**4/5 + 11*p**3/5 + 17*p**2/5 - 71*p/5 + 42/5.
(p - 1)**2*(p + 6)*(p + 7)/5
Factor k**2 + 6368*k + 10137856.
(k + 3184)**2
Suppose -2*i**2/13 - 20*i = 0. Calculate i.
-130, 0
Suppose 2*z**5/9 - 190*z**4/9 + 3796*z**3/9 + 34180*z**2/9 + 18734*z/3 + 2890 = 0. What is z?
-5, -1, 51
Solve -2*l**5 + 26*l**4 - 50*l**3 - 186*l**2 - 108*l = 0.
-1, 0, 6, 9
Determine q, given that -141*q**5 + 279*q**4 + 6*q**3 = 0.
-1/47, 0, 2
Suppose 2*w**5 + 414*w**4 + 22438*w**3 + 105250*w**2 + 164832*w + 81608 = 0. Calculate w.
-10