t/4 + 11/2.
-(t - 2)*(t + 11)/4
Solve 2*w**3/13 - 420*w**2/13 = 0.
0, 210
Solve -6*v**4/7 + 20*v**3/7 - 18*v**2/7 + 4*v/7 = 0.
0, 1/3, 1, 2
Suppose -2*v**3/3 + 182*v**2/3 - 356*v/3 = 0. Calculate v.
0, 2, 89
Factor -2*v**4 - 38*v**3 + 126*v**2 - 130*v + 44.
-2*(v - 1)**3*(v + 22)
Suppose -5*n**4/6 + 155*n**3/6 - 1265*n**2/6 + 275*n/2 + 375 = 0. What is n?
-1, 2, 15
Factor 5*o**3 - 60*o**2 - 135*o - 70.
5*(o - 14)*(o + 1)**2
Factor -3*u**2/4 - 72*u + 891/4.
-3*(u - 3)*(u + 99)/4
Factor 2*y**3/3 - 2858*y**2 + 4084082*y - 5836153178/3.
2*(y - 1429)**3/3
Let b**5 - 47*b**4/4 + 18*b**3 - 19*b**2/4 - 5*b/2 = 0. What is b?
-1/4, 0, 1, 10
Suppose q**3 - 29*q**2/3 + 24*q - 12 = 0. What is q?
2/3, 3, 6
Find f such that 3*f**2/7 - 1290*f/7 + 1287/7 = 0.
1, 429
Solve -3*j**4 + 33*j**3 - 111*j**2 + 135*j - 54 = 0.
1, 3, 6
Factor 3*t**2/4 - 383*t + 255.
(t - 510)*(3*t - 2)/4
Suppose -2*i**4/7 - 382*i**3/7 - 18048*i**2/7 + 18432*i/7 = 0. What is i?
-96, 0, 1
Solve -4*x**2 + 5505*x - 1376 = 0 for x.
1/4, 1376
Factor 5*z**4/2 - 55*z**3/2 - 5*z**2/2 + 55*z/2.
5*z*(z - 11)*(z - 1)*(z + 1)/2
Factor k**2/2 + 86*k + 170.
(k + 2)*(k + 170)/2
Suppose 6*k**5 + 2*k**4 - 14*k**3 - 10*k**2 = 0. Calculate k.
-1, 0, 5/3
Find o such that -69*o**5/5 + 15*o**4 + 63*o**3/5 - 15*o**2 + 6*o/5 = 0.
-1, 0, 2/23, 1
Determine f, given that 3*f**3/4 + 3*f**2/4 - 15*f/2 + 6 = 0.
-4, 1, 2
Factor -15*d**4 - 305*d**3 + 210*d**2.
-5*d**2*(d + 21)*(3*d - 2)
Factor 4*x**2/5 + 408*x/5 + 10404/5.
4*(x + 51)**2/5
Solve -5*q**3 - 185*q**2 - 1800*q - 1620 = 0 for q.
-18, -1
Let 4*v**5 - 48*v**4 - 320*v**3 - 360*v**2 + 316*v + 408 = 0. What is v?
-3, -2, -1, 1, 17
What is i in -16*i**3 + 228*i**2 - 56*i = 0?
0, 1/4, 14
Find t such that -3*t**5 + 643*t**4/6 - 1466*t**3/3 - 4717*t**2/6 - 352*t/3 + 70 = 0.
-1, -1/2, 2/9, 7, 30
Factor 3*d**2/4 - 1401*d/2 + 2799/4.
3*(d - 933)*(d - 1)/4
Factor -2*y**3/3 + 134*y/3 + 84.
-2*(y - 9)*(y + 2)*(y + 7)/3
Factor -3*b**2 + 24*b + 27.
-3*(b - 9)*(b + 1)
Let -3*y**3/4 + 27*y**2/4 - 9*y/2 - 12 = 0. What is y?
-1, 2, 8
Factor 4*t**3/5 - 56*t**2/5 + 156*t/5 + 216/5.
4*(t - 9)*(t - 6)*(t + 1)/5
Suppose 3*u**5 + 3*u**4 - 18*u**3 = 0. What is u?
-3, 0, 2
Determine l, given that -3*l**2 + 9*l = 0.
0, 3
Suppose i**4/5 + 9*i**3/5 = 0. What is i?
-9, 0
Factor -4*m**3 - 108*m**2 - 672*m + 784.
-4*(m - 1)*(m + 14)**2
Determine g, given that 3*g**4 + 33*g**3 + 111*g**2 + 135*g + 54 = 0.
-6, -3, -1
Determine h, given that 256*h**4 - 7616*h**3 + 19428*h**2 - 11412*h + 1944 = 0.
3/8, 2, 27
Factor 2*x**2/11 + 1592*x/11.
2*x*(x + 796)/11
Suppose -4*g**3 - 1052*g**2 - 2092*g - 1044 = 0. Calculate g.
-261, -1
Let -4*d**4 + 116*d**3 - 220*d**2 + 108*d = 0. What is d?
0, 1, 27
Factor 4*w**2/9 - 143*w/3 + 107/9.
(w - 107)*(4*w - 1)/9
Suppose -2*v**2/7 + 36*v/7 + 38/7 = 0. Calculate v.
-1, 19
Factor 16*l**3/11 + 166*l**2/11 + 204*l/11 + 54/11.
2*(l + 1)*(l + 9)*(8*l + 3)/11
Let -15*c**4/8 + 21*c**3/4 - 39*c**2/8 + 3*c/2 = 0. What is c?
0, 4/5, 1
Find c, given that -6*c**5/13 - 242*c**4/13 - 2228*c**3/13 + 4324*c**2/13 - 966*c/13 - 882/13 = 0.
-21, -1/3, 1
Factor -3*l**3/4 - 21*l**2/4 + 63*l/4 + 81/4.
-3*(l - 3)*(l + 1)*(l + 9)/4
Determine l so that 10*l**5 - 24*l**4 - 22*l**3 + 12*l**2 = 0.
-1, 0, 2/5, 3
Solve 2*l**2/5 + 6*l/5 - 36/5 = 0 for l.
-6, 3
Factor -f**4/4 + 3*f**2 - 4*f.
-f*(f - 2)**2*(f + 4)/4
Solve h**5 - 233*h**4 - h**3 + 233*h**2 = 0 for h.
-1, 0, 1, 233
Let 3*f**4 - 624*f**3 + 31164*f**2 + 134832*f = 0. Calculate f.
-4, 0, 106
Factor -16*g**3/5 + 188*g**2/5 - 736*g/5 + 192.
-4*(g - 4)**2*(4*g - 15)/5
Factor u**4 - 14*u**3 + 68*u**2 - 130*u + 75.
(u - 5)**2*(u - 3)*(u - 1)
Factor -l**3/4 + 3*l**2/4 + 3*l/2 - 2.
-(l - 4)*(l - 1)*(l + 2)/4
Let -24*l**2 + 20*l + 4 = 0. What is l?
-1/6, 1
Factor s**3/2 + 124*s**2 + 15621*s/2 + 15129.
(s + 2)*(s + 123)**2/2
Let -n**3/4 + 117*n**2/4 - 114*n + 113 = 0. What is n?
2, 113
Factor -8*d**4 + 34*d**3 + 142*d**2 + 84*d.
-2*d*(d - 7)*(d + 2)*(4*d + 3)
Solve 5*z**4 + 155*z**3 + 270*z**2 - 620*z - 1160 = 0 for z.
-29, -2, 2
Factor 14*p**3/5 - 1298*p**2/5 + 5788*p/5 + 352.
2*(p - 88)*(p - 5)*(7*p + 2)/5
Suppose -231*q**2/4 + 225*q/4 + 3/2 = 0. Calculate q.
-2/77, 1
Find a, given that -2*a**5 - 498*a**4 + 1508*a**3 - 1008*a**2 = 0.
-252, 0, 1, 2
Determine g so that 2*g**4 + 368*g**3 + 720*g**2 - 1472*g - 2912 = 0.
-182, -2, 2
Factor -3*m**2/2 + 531*m/2 + 537.
-3*(m - 179)*(m + 2)/2
Let -b**3/3 + 29*b**2 + b/3 - 29 = 0. What is b?
-1, 1, 87
Factor -16*u**5/13 + 46*u**4/13 - 42*u**3/13 + 10*u**2/13 + 2*u/13.
-2*u*(u - 1)**3*(8*u + 1)/13
Factor 4*j**4 - 36*j**3 + 72*j**2.
4*j**2*(j - 6)*(j - 3)
Suppose -2*k**4/11 + 24*k**3/11 - 20*k**2/11 - 24*k/11 + 2 = 0. Calculate k.
-1, 1, 11
Suppose o**3 - 30*o**2 + 288*o - 864 = 0. Calculate o.
6, 12
Suppose 10*i**4/9 + 26*i**3/9 - 4*i**2/3 - 40*i/9 + 16/9 = 0. What is i?
-2, 2/5, 1
Factor -i**2 - 305*i + 306.
-(i - 1)*(i + 306)
Determine f so that -f**3/2 - 16*f**2 + 22*f + 2904 = 0.
-22, 12
Factor 5*t**2 - 110*t - 115.
5*(t - 23)*(t + 1)
Factor v**2/2 + 19*v + 37/2.
(v + 1)*(v + 37)/2
Suppose v**4/6 + 2*v**3/3 - 11*v**2/3 - 2*v/3 + 7/2 = 0. What is v?
-7, -1, 1, 3
Determine s so that -5*s**5 + 260*s**3 + 640*s**2 - 960*s - 2560 = 0.
-4, -2, 2, 8
Let -s**3 - 121*s**2 + 124*s + 244 = 0. Calculate s.
-122, -1, 2
Find c, given that -34*c**2 + 64*c + 8 = 0.
-2/17, 2
Factor -3*f**3 - 12*f**2.
-3*f**2*(f + 4)
Find s such that -46*s**3/13 - 16*s**2/13 = 0.
-8/23, 0
Solve -a**3/3 + 10*a**2/3 + 23*a/3 + 4 = 0.
-1, 12
What is j in -5*j**2/3 + 4840*j/3 - 1171280/3 = 0?
484
Solve -4356*a**3 + 528*a**2 - 16*a = 0.
0, 2/33
Suppose g**2/4 - 115*g/2 + 2409/4 = 0. Calculate g.
11, 219
Factor 5*r**4 + 440*r**3 - 5*r**2 - 440*r.
5*r*(r - 1)*(r + 1)*(r + 88)
Factor 4*u**3/3 - 1400*u**2 + 368896*u - 2196608/3.
4*(u - 524)**2*(u - 2)/3
Determine y, given that -27*y**4/4 - 79*y**3/4 + 249*y**2/4 - 153*y/4 + 5/2 = 0.
-5, 2/27, 1
Factor -3*s**2 - 768*s - 49152.
-3*(s + 128)**2
Factor 13*m**2 + 544*m/3 - 28/3.
(m + 14)*(39*m - 2)/3
Factor 4*v**4 + 60*v**3 + 336*v**2 + 832*v + 768.
4*(v + 3)*(v + 4)**3
Factor -l**3/2 + 54*l**2 + 111*l/2 - 109.
-(l - 109)*(l - 1)*(l + 2)/2
Suppose -3*a**4 - 6*a**3 + 15*a**2 + 18*a = 0. What is a?
-3, -1, 0, 2
Let -3*j**3/8 - 1299*j**2/4 - 562467*j/8 = 0. What is j?
-433, 0
Find i, given that i**4/2 - 5*i**3 - 18*i**2 - 19*i - 13/2 = 0.
-1, 13
Factor q**3 - 5*q**2 - 22*q - 16.
(q - 8)*(q + 1)*(q + 2)
Suppose -4*j**3 - 1040*j**2 + 2092*j - 1048 = 0. Calculate j.
-262, 1
Factor -t**2/2 - 40*t + 81/2.
-(t - 1)*(t + 81)/2
Determine w, given that -45*w**5 - 1360*w**4 - 1560*w**3 + 1070*w**2 + 1605*w + 290 = 0.
-29, -1, -2/9, 1
Solve z**5 + z**4 - 9*z**3 - 9*z**2 = 0 for z.
-3, -1, 0, 3
Let -889249*g**2 - 5658*g - 9 = 0. What is g?
-3/943
Factor 3*g**3 - 150*g**2 + 1227*g - 1080.
3*(g - 40)*(g - 9)*(g - 1)
Factor 2*k**4 + 2*k**3 - 2*k**2 - 2*k.
2*k*(k - 1)*(k + 1)**2
Find f, given that 4*f**4/9 - 416*f**3/9 + 3604*f**2/3 + 416*f/9 - 10816/9 = 0.
-1, 1, 52
Determine d, given that d**5 + 187*d**4 - 1536*d**3 + 4648*d**2 - 6224*d + 3120 = 0.
-195, 2
Solve -3*s**5 - 50*s**4 + 26*s**3 + 144*s**2 - 151*s + 34 = 0 for s.
-17, -2, 1/3, 1
Find d, given that -5*d**4/3 - 245*d**3/3 - 2315*d**2/3 + 5715*d - 4860 = 0.
-27, 1, 4
Suppose m**2/5 + 8*m - 41/5 = 0. What is m?
-41, 1
Factor -s**4 + 8*s**3 + 30*s**2 + 32*s + 11.
-(s - 11)*(s + 1)**3
Determine t, given that 4*t**3 - 1152*t**2 + 80592*t + 341056 = 0.
-4, 146
Factor p**2 - 86*p + 1849.
(p - 43)**2
Find m such that 5*m**3/4 - 85*m**2/4 + 70*m - 65 = 0.
2, 13
Find u such that 2*u**5/11 - 28*u**4/11 - 232*u**3/11 - 172*u**2/11 + 230*u/11 + 200/11 = 0.
-5, -1, 1, 20
Find v such that 2*v**4/5 + 2*v**3/5 - 4*v**2/5 = 0.
-2, 0, 1
Solve -m**2/2 - 633*m/2 - 316 = 0.
-632, -1
Factor -10*f**2 + 144*f - 2592/5.
-2*(5*f - 36)**2/5
Factor -2*u**4/5 - 4*u**3/5 + 18*u**2/5 + 36*u/5.
-2*u*(u - 3)*(u + 2)*(u + 3)/5
Suppose 2*p**2 - 16*p + 32 = 0. Calculate p.
4
Find v, given that v**3/5 + 8*v**2/5 + 3*v = 0.
-5, -3, 0
Suppose 5*x**2 - 150*x - 320 = 0. Calculate x.
-2, 32
Factor -5*i**2 + 215*i - 410.
-5*(i - 41)*(i - 2)
What is o in -2*o**2 - 4*o + 48 = 0?
-6, 4
Determine h so that 5*h**5 + 20*h**4 - 45*h**3 - 160*h**2 + 140*h + 240 = 0.
-4, -3, -1, 2
Let 3*w**5 - 12*w**4 