 + 145774*t**2 + 423462*t - 570312.
2*(t - 1)*(t + 4)*(t + 267)**2
Factor -2*p**2 + 1474*p - 1472.
-2*(p - 736)*(p - 1)
Suppose -v**5 + 2*v**4 + 13*v**3 - 26*v**2 - 36*v + 72 = 0. What is v?
-3, -2, 2, 3
Factor 4*h**3 - 56*h**2 + 128*h + 512.
4*(h - 8)**2*(h + 2)
Suppose -4*j**5 - 48*j**4 + 92*j**3 + 504*j**2 - 304*j - 1248 = 0. Calculate j.
-13, -2, 2, 3
Factor -2*u**4 + 98*u**3 - 414*u**2 - 39146*u + 486680.
-2*(u - 23)**3*(u + 20)
Factor -t**3/3 + 233*t**2/3 + t/3 - 233/3.
-(t - 233)*(t - 1)*(t + 1)/3
Find g such that -g**5 + 9*g**4 - 20*g**3 + 12*g**2 = 0.
0, 1, 2, 6
Factor -1762844324*j**3 + 13898904*j**2 - 36528*j + 32.
-4*(761*j - 2)**3
Solve j**2/4 + 51*j/4 + 189/2 = 0 for j.
-42, -9
Suppose -5*d**5 + 710*d**4 + 1435*d**3 + 720*d**2 = 0. What is d?
-1, 0, 144
What is n in -3*n**3/2 - 15*n**2 - 42*n - 36 = 0?
-6, -2
Let 2*c**2/7 + 788*c/7 - 1584/7 = 0. What is c?
-396, 2
Factor -2205*g**3 + 15645*g**2 - 25520*g + 12100.
-5*(g - 5)*(21*g - 22)**2
Solve j**2 - 201*j - 1242 = 0 for j.
-6, 207
Find p such that -7*p**4/4 - 8*p**3 - 4*p**2 = 0.
-4, -4/7, 0
Let -4*q**4 - 44*q**3 - 40*q**2 = 0. What is q?
-10, -1, 0
Solve 13*q**3/7 + 75*q**2/7 + 86*q/7 - 24/7 = 0.
-4, -2, 3/13
Factor 3*z**2 + 3159*z + 3156.
3*(z + 1)*(z + 1052)
Let -15*h**2 - 288*h - 6912/5 = 0. Calculate h.
-48/5
Determine w so that w**2/3 - 10*w/3 + 8 = 0.
4, 6
Solve j**5/2 - 3*j**4 - 5*j**3 + 10*j**2 + 9*j/2 - 7 = 0.
-2, -1, 1, 7
What is o in 2*o**4/9 - 8*o**3/9 - 2*o**2/9 + 32*o/9 - 8/3 = 0?
-2, 1, 2, 3
Suppose 45*g**5 - 30*g**4 - 535*g**3 + 1080*g**2 - 540*g + 80 = 0. What is g?
-4, 1/3, 2
What is l in -2*l**4 + 44*l**3 + 144*l**2 + 148*l + 50 = 0?
-1, 25
Determine o, given that 8*o**4/3 + 128*o**3/3 + 78*o**2 + 142*o/3 + 28/3 = 0.
-14, -1, -1/2
Let -2*u**3 - 3868*u**2 - 3866*u = 0. What is u?
-1933, -1, 0
What is f in -3*f**2/5 - 3*f/5 + 6/5 = 0?
-2, 1
What is l in 4*l**3 - 32*l**2 = 0?
0, 8
Let 2*g**3/11 + 8*g**2/11 - 2*g/11 - 8/11 = 0. What is g?
-4, -1, 1
Factor 3*j**3 + 27*j**2 - 3*j - 27.
3*(j - 1)*(j + 1)*(j + 9)
Solve 4*g**2 + 16*g - 20 = 0.
-5, 1
What is p in -4*p**3 + 628*p**2/3 - 820*p/3 + 68 = 0?
1/3, 1, 51
Find l, given that 6*l**5 + 81*l**4 + 339*l**3 + 486*l**2 + 168*l = 0.
-7, -4, -2, -1/2, 0
Suppose 2*t**3 + 84*t**2 + 1176*t + 5488 = 0. What is t?
-14
Factor -6*s**4 - 9*s**3 + 24*s**2 - 9*s.
-3*s*(s - 1)*(s + 3)*(2*s - 1)
Factor -2*g**3 - 904*g**2 - 102152*g.
-2*g*(g + 226)**2
Factor -i**4 + 20*i**3 - 99*i**2 + 88*i + 208.
-(i - 13)*(i - 4)**2*(i + 1)
Factor -3*m**2 - 200*m - 132.
-(m + 66)*(3*m + 2)
Factor -h**2 - 155*h - 154.
-(h + 1)*(h + 154)
Determine a, given that 2*a**2 + 40*a + 38 = 0.
-19, -1
Suppose -2*c**3/3 + 266*c**2/3 - 8710*c/3 - 8978/3 = 0. What is c?
-1, 67
Factor -4*n**4/5 + 24*n**3/5 + 4*n**2/5 - 24*n/5.
-4*n*(n - 6)*(n - 1)*(n + 1)/5
Factor -2*b**3 + 392*b**2 + 1592*b + 1600.
-2*(b - 200)*(b + 2)**2
Solve 2*s**2/13 - 10*s/13 - 12/13 = 0.
-1, 6
Factor -2*x**3/9 + 614*x**2/3 - 47632*x + 2097640/9.
-2*(x - 458)**2*(x - 5)/9
Factor k**3/8 + 121*k**2/4 + 1860*k + 3600.
(k + 2)*(k + 120)**2/8
Factor -w**4/4 - w**3 + 85*w**2/4 + 22*w.
-w*(w - 8)*(w + 1)*(w + 11)/4
Factor 2*l**2/11 - 28*l/11 + 96/11.
2*(l - 8)*(l - 6)/11
Factor -2*t**3/5 + 24*t**2/5 - 14*t + 48/5.
-2*(t - 8)*(t - 3)*(t - 1)/5
Factor w**4 + 3*w**3 + w**2 - 3*w - 2.
(w - 1)*(w + 1)**2*(w + 2)
Factor 2*g**4 - 36*g**3 - 6*g**2 + 104*g + 72.
2*(g - 18)*(g - 2)*(g + 1)**2
Determine c, given that -4*c**2/5 - 67*c/5 + 17/5 = 0.
-17, 1/4
Let -g**2 + 16*g + 17 = 0. Calculate g.
-1, 17
Let -10*s**5/7 + 34*s**4/7 + 48*s**3/7 - 104*s**2/7 + 32*s/7 = 0. Calculate s.
-2, 0, 2/5, 1, 4
Determine z so that z**2/3 - 2*z + 5/3 = 0.
1, 5
Solve -28*w**4 - 20*w**3 + 456*w**2 - 688*w + 160 = 0 for w.
-5, 2/7, 2
Factor 5*o**2 - 405*o + 1170.
5*(o - 78)*(o - 3)
Factor 19*z**2 + 25*z + 6.
(z + 1)*(19*z + 6)
Solve 2*n**2/9 - 10*n + 988/9 = 0.
19, 26
Factor -4*t**3 - 312*t**2 + 636*t - 320.
-4*(t - 1)**2*(t + 80)
Suppose -6*n**5 + 488*n**4/5 - 502*n**3 + 3356*n**2/5 + 3576*n/5 + 144 = 0. What is n?
-2/5, -1/3, 5, 6
Solve -3*u**2/8 - 678*u - 306456 = 0.
-904
Suppose -3*n**4/8 + 21*n**3/8 - 9*n**2/2 - 3*n/2 + 6 = 0. What is n?
-1, 2, 4
Solve -4*p**4 - 2040*p**3 - 270100*p**2 - 2550000*p - 6250000 = 0 for p.
-250, -5
Let z**3/2 - 168*z**2 + 18816*z - 702464 = 0. Calculate z.
112
Factor 14*q**3 - 10172*q**2 - 4362*q.
2*q*(q - 727)*(7*q + 3)
Determine h, given that -h**4/6 - 5*h**3/6 - 3*h**2/2 - 7*h/6 - 1/3 = 0.
-2, -1
Let -8*h**5/13 - 34*h**4/13 - 8*h**3/13 + 128*h**2/13 + 160*h/13 + 32/13 = 0. What is h?
-2, -1/4, 2
Suppose -4*a**4 - 32*a**3 - 44*a**2 + 32*a + 48 = 0. What is a?
-6, -2, -1, 1
Let 2*a**5/5 - 2*a**4 + 14*a**3/5 - 6*a**2/5 = 0. What is a?
0, 1, 3
Factor b**3/6 - 11*b**2/6 + 8*b/3 + 14.
(b - 7)*(b - 6)*(b + 2)/6
Suppose 2*n**5 + 44*n**4/3 + 68*n**3/3 - 8*n**2 - 74*n/3 - 20/3 = 0. Calculate n.
-5, -2, -1, -1/3, 1
Factor -v**2 + 32*v - 256.
-(v - 16)**2
Find w such that -6*w**4 - 39*w**3 - 147*w**2/8 - 9*w/4 = 0.
-6, -1/4, 0
Factor 3*r**3 + 24*r**2 + 51*r + 30.
3*(r + 1)*(r + 2)*(r + 5)
Find x such that -3*x**3/4 - 342*x**2 - 51984*x - 2633856 = 0.
-152
What is g in -2*g**2/13 + 240*g/13 + 242/13 = 0?
-1, 121
Suppose -6*y**4/7 - 4*y**3 + 26*y**2/7 + 88*y/7 + 40/7 = 0. What is y?
-5, -1, -2/3, 2
Factor -3*j**2/2 - 42*j.
-3*j*(j + 28)/2
Factor 5*q**2 + 2770*q + 383645.
5*(q + 277)**2
Factor -3*w**2/5 + 324*w/5 - 8748/5.
-3*(w - 54)**2/5
Factor -2*b**3/13 + 14*b/13 + 12/13.
-2*(b - 3)*(b + 1)*(b + 2)/13
Find u, given that -2*u**3/5 - 8*u**2 + 646*u/5 - 1116/5 = 0.
-31, 2, 9
What is s in -s**5/2 + 38*s**4 - 37*s**3 - 38*s**2 + 75*s/2 = 0?
-1, 0, 1, 75
Determine d so that -105*d**3 - 2410*d**2 + 2635*d - 120 = 0.
-24, 1/21, 1
Factor -4*l**3 + 188*l**2 - 2300*l + 2116.
-4*(l - 23)**2*(l - 1)
Factor -z**2/4 - 7*z/4 + 39/2.
-(z - 6)*(z + 13)/4
Suppose -2*b**4/11 - 18*b**3/11 - 28*b**2/11 = 0. Calculate b.
-7, -2, 0
Suppose 2*y**2 - 726*y + 2160 = 0. What is y?
3, 360
Factor -m**4/4 - 2*m**3 - 19*m**2/4 - 3*m.
-m*(m + 1)*(m + 3)*(m + 4)/4
Determine x so that -x**2/5 + 4392*x/5 - 4822416/5 = 0.
2196
Solve 9*r**2 + 21*r = 0 for r.
-7/3, 0
Find y such that 3*y**4/2 + 21*y**3/2 - 129*y**2 + 252*y = 0.
-14, 0, 3, 4
Solve 2*n**5/9 + 86*n**4/9 + 670*n**3/9 - 5846*n**2/9 - 224*n/3 + 640 = 0 for n.
-24, -1, 1, 5
Suppose -4*g**3 - 840*g**2 - 58800*g - 1372000 = 0. What is g?
-70
Let -84*r**4 + 1024*r**3 - 3216*r**2 + 576*r = 0. Calculate r.
0, 4/21, 6
Let -2*d**4/9 - 2*d**3/3 - 4*d**2/9 = 0. What is d?
-2, -1, 0
Factor -q**4/2 + 11*q**2/2 + 9*q + 4.
-(q - 4)*(q + 1)**2*(q + 2)/2
Factor 6*k**4 + 26*k**3 - 22*k**2 - 10*k.
2*k*(k - 1)*(k + 5)*(3*k + 1)
Let 28*o**4/9 + 184*o**3/3 + 292*o**2/3 + 208*o/9 - 16 = 0. What is o?
-18, -1, 2/7
Factor 4*q**2 - 28*q + 40.
4*(q - 5)*(q - 2)
Factor -n**2/2 + 2*n.
-n*(n - 4)/2
Factor 2*r**3/7 - 64*r**2/7 + 62*r/7.
2*r*(r - 31)*(r - 1)/7
Factor 2*m**2/7 - 2*m/7.
2*m*(m - 1)/7
Factor -5*v**2 - 55*v + 130.
-5*(v - 2)*(v + 13)
Determine d so that -d**2/3 - 2*d/3 + 1 = 0.
-3, 1
Solve 3*x**3 + 927*x**2 + 3672*x + 3660 = 0 for x.
-305, -2
Factor -i**2 - 10*i + 24.
-(i - 2)*(i + 12)
Solve 4*i**2 - 20088*i + 25220484 = 0 for i.
2511
What is r in -r**4/11 - 57*r**3/11 - 630*r**2/11 = 0?
-42, -15, 0
What is u in 10*u**4 + 76*u**3 + 202*u**2 + 216*u + 72 = 0?
-3, -2, -3/5
Determine h so that 40*h**4/3 + 340*h**3/3 + 325*h**2/6 + 20*h/3 = 0.
-8, -1/4, 0
Determine j so that 15*j**5 - 70*j**4 + 85*j**3 - 30*j**2 = 0.
0, 2/3, 1, 3
Find y, given that -35*y**3 + 45*y**2 - 10*y = 0.
0, 2/7, 1
Let -n**2/4 + 57*n + 229/4 = 0. Calculate n.
-1, 229
Factor 2*k**3/15 + 8*k**2/3 + 266*k/15 + 196/5.
2*(k + 6)*(k + 7)**2/15
Solve 3*a**5 - 6*a**3 + 3*a = 0.
-1, 0, 1
Factor 3*x**4 - 30*x**3 + 96*x**2 - 96*x.
3*x*(x - 4)**2*(x - 2)
Determine a, given that -2*a**5/11 + 30*a**4/11 - 76*a**3/11 + 48*a**2/11 = 0.
0, 1, 2, 12
Factor 4*v**2 + 1204*v + 16072.
4*(v + 14)*(v + 287)
Factor 3*s**2 + 30*s + 72.
3*(s + 4)*(s + 6)
Determine l so that l**2 - 105*l + 1196 = 0.
13, 92
What is i in i**2/2 + 19*i/2 - 75 = 0?
-25, 6
What is x in x**2/4 + 2*x - 5 = 0?
-10, 2
Find m, given that 6*m**5 + 68*m**4/3 - 214*m**3/3 - 1144*m**2/3 - 344*m + 96 = 0.
-3, -2, 2/9, 4
Solve 2*b**3/3 + 31*b**2/3 + 4*b - 15 = 0.
-15, -3/2, 1
Fa