 117)*(m - 5)*(m + 1)
Suppose -2*p**3/13 + 8*p**2 - 478*p/13 + 376/13 = 0. Calculate p.
1, 4, 47
Solve v**3 + 480*v**2 + 957*v + 478 = 0 for v.
-478, -1
Factor -20*n**3 - 1484*n**2 - 27676*n - 5476.
-4*(n + 37)**2*(5*n + 1)
Factor 2*r**2/7 - 352*r + 108416.
2*(r - 616)**2/7
Factor -3*b**5/2 + 11*b**4/2 - 4*b**3 - 2*b**2.
-b**2*(b - 2)**2*(3*b + 1)/2
Let 4*j**2 - 136*j + 1056 = 0. What is j?
12, 22
Solve -w**5 + 22*w**4 - 112*w**3 = 0.
0, 8, 14
Suppose 2*a**2/7 - 148*a/7 - 960/7 = 0. Calculate a.
-6, 80
Find l such that 16*l**2/13 + 66*l/13 + 8/13 = 0.
-4, -1/8
Solve 2*m**3/3 + 2*m**2/3 - 8*m/3 - 8/3 = 0 for m.
-2, -1, 2
Find p, given that -2*p**3 - 2852*p**2/3 - 17794*p/3 + 13132/3 = 0.
-469, -7, 2/3
Solve -3*q**4/8 - 39*q**3/8 - 87*q**2/4 - 81*q/2 - 27 = 0.
-6, -3, -2
Find m such that 2*m**4 + 36*m**3/5 - 3806*m**2/5 + 5256*m/5 - 1496/5 = 0.
-22, 2/5, 1, 17
Determine q, given that -3*q**2 + 408*q - 405 = 0.
1, 135
Determine n, given that 2*n**4/5 - 6*n**3/5 - 84*n**2/5 + 344*n/5 - 336/5 = 0.
-7, 2, 6
Factor 29*q**2/4 + 27*q - 8.
(q + 4)*(29*q - 8)/4
Find v such that 10*v**5/3 - 148*v**4/3 - 200*v**3/3 + 116*v**2/3 + 190*v/3 + 32/3 = 0.
-1, -1/5, 1, 16
Factor 5*k**4 + 35*k**3 + 35*k**2 - 75*k.
5*k*(k - 1)*(k + 3)*(k + 5)
What is o in o**2 - 22*o - 48 = 0?
-2, 24
What is q in -11*q**2/4 - 9*q/4 + 1/2 = 0?
-1, 2/11
Factor 32*z**3 - 92*z**2 - 16*z + 144.
4*(z - 2)**2*(8*z + 9)
Factor -l**4/3 - 7*l**3/3 - 8*l**2/3 + 16*l/3.
-l*(l - 1)*(l + 4)**2/3
Find j, given that 3*j**5 + 18*j**4 + 24*j**3 - 18*j**2 - 27*j = 0.
-3, -1, 0, 1
Factor 4*a**4 + 56*a**3 + 132*a**2 - 16*a - 176.
4*(a - 1)*(a + 2)**2*(a + 11)
Suppose -4*t**5 - 4*t**4 + 72*t**3 + 200*t**2 + 188*t + 60 = 0. Calculate t.
-3, -1, 5
Solve 2*r**3/11 + 134*r**2/11 + 1360*r/11 + 200 = 0.
-55, -10, -2
Factor -h**5 + 74*h**4 + 151*h**3 + 76*h**2.
-h**2*(h - 76)*(h + 1)**2
Factor 3*k**3 + 168*k**2 + 159*k - 330.
3*(k - 1)*(k + 2)*(k + 55)
Find t such that -4*t**2/5 + 1116*t/5 + 224 = 0.
-1, 280
Let -2*i**2/3 + 14*i/3 - 20/3 = 0. What is i?
2, 5
Factor 2*z**5 - 270*z**4 + 8976*z**3 + 9248*z**2.
2*z**2*(z - 68)**2*(z + 1)
Factor -q**2/5 - 303*q/5.
-q*(q + 303)/5
Find q such that -q**5/6 - 7*q**4/12 - q**3/2 + q**2/12 + q/6 = 0.
-2, -1, 0, 1/2
Determine q, given that -2*q**3/3 + 10*q**2/3 - 4*q/3 - 16/3 = 0.
-1, 2, 4
Find u, given that -5*u**3/2 + 105*u**2/2 - 675*u/2 + 1215/2 = 0.
3, 9
Factor 363*k**3/4 + 44*k**2 - 41*k/4 + 1/2.
(3*k + 2)*(11*k - 1)**2/4
Factor 2*d**2/7 + 166*d/7 + 1200/7.
2*(d + 8)*(d + 75)/7
Determine t so that -t**3/3 - 28*t**2/3 - 55*t + 150 = 0.
-15, 2
Factor -w**5/7 + 55*w**4 - 767*w**3/7 + 383*w**2/7.
-w**2*(w - 383)*(w - 1)**2/7
What is s in -3*s**4 + 30*s**3 + 69*s**2 + 36*s = 0?
-1, 0, 12
Factor -w**2/2 - 211*w/2.
-w*(w + 211)/2
Suppose q**2/2 - 23*q/2 + 21 = 0. What is q?
2, 21
Factor 242*x**2 - 31416*x + 1019592.
2*(11*x - 714)**2
Solve -r**5 + 5*r**4 + 6*r**3 = 0 for r.
-1, 0, 6
Factor 2*g**3/3 + 476*g**2/3 + 9280*g - 19200.
2*(g - 2)*(g + 120)**2/3
Factor 2*d**4/7 + 2*d**3/7 - 32*d**2/7 + 40*d/7.
2*d*(d - 2)**2*(d + 5)/7
Find n, given that -n**4 - 23*n**3 + 945*n**2 + 22599*n = 0.
-27, 0, 31
Let 2*z**5 - 6*z**4 + 8*z**2 = 0. What is z?
-1, 0, 2
Solve -5*j**5 - 5*j**4 + 25*j**3 + 25*j**2 - 20*j - 20 = 0.
-2, -1, 1, 2
Factor -35*s**3 + 115*s**2 + 1370*s - 400.
-5*(s - 8)*(s + 5)*(7*s - 2)
Factor -5*h**3 + 1235*h**2 - 1220*h - 2460.
-5*(h - 246)*(h - 2)*(h + 1)
Find k, given that -4*k**4 - 56*k**3 - 212*k**2 - 304*k - 144 = 0.
-9, -2, -1
Factor -2*a**2/11 + 1528*a/11 - 291848/11.
-2*(a - 382)**2/11
Factor 2*z**2/3 - 520*z/3 - 2650/3.
2*(z - 265)*(z + 5)/3
Factor -n**2/4 + 20*n - 400.
-(n - 40)**2/4
Factor 2*k**2 - 3812*k + 1816418.
2*(k - 953)**2
Factor 5*o**3 - 275*o**2 - 280*o.
5*o*(o - 56)*(o + 1)
Determine s so that s**4/7 + 552*s**3/7 + 77271*s**2/7 + 301948*s/7 + 225228/7 = 0.
-274, -3, -1
Factor -51*m**3 - 6*m**2.
-3*m**2*(17*m + 2)
What is o in 5*o**2 - 105*o - 110 = 0?
-1, 22
Factor 8*j**4 - 8*j**3 - 30*j**2 + 36*j.
2*j*(j + 2)*(2*j - 3)**2
Determine w, given that 4*w**3 - 288*w**2 + 284*w = 0.
0, 1, 71
Let 2*t**5/15 - 52*t**4/15 + 152*t**3/15 + 464*t**2/3 + 5632*t/15 + 4096/15 = 0. Calculate t.
-2, 16
Determine t, given that -4*t**4 + 504*t**3 = 0.
0, 126
Let 5*z**3 - 870*z**2 + 50460*z - 975560 = 0. Calculate z.
58
Factor -2*k**2/3 + 526*k.
-2*k*(k - 789)/3
Factor n**2/2 - 9*n/2 - 5.
(n - 10)*(n + 1)/2
Find k such that -2*k**5/11 - 8*k**4/11 + 10*k**3/11 + 40*k**2/11 - 8*k/11 - 32/11 = 0.
-4, -2, -1, 1, 2
Factor 3*g**3/5 + 12*g**2/5 + 3*g/5 - 18/5.
3*(g - 1)*(g + 2)*(g + 3)/5
Let 4*q**2/3 + 160*q/3 - 704/3 = 0. Calculate q.
-44, 4
Factor -2*x**4/7 + 30*x**3/7 - 78*x**2/7 + 74*x/7 - 24/7.
-2*(x - 12)*(x - 1)**3/7
Factor 3*h**3 + 22839*h**2 + 43456905*h - 43479747.
3*(h - 1)*(h + 3807)**2
Factor 2*w**2/7 - 330*w/7 - 1352/7.
2*(w - 169)*(w + 4)/7
Factor 206*j**2/11 - 432*j/11 + 40/11.
2*(j - 2)*(103*j - 10)/11
Factor m**2/3 + 236*m/3 + 13924/3.
(m + 118)**2/3
What is m in -3*m**3/2 - 4437*m**2/2 - 819180*m + 821400 = 0?
-740, 1
Factor -2*u**2 - 466*u - 924.
-2*(u + 2)*(u + 231)
Find q, given that 4*q**4 - 1900*q**3 + 297600*q**2 - 14848000*q - 81920000 = 0.
-5, 160
Suppose -2*r**4/9 - 2*r**3/3 + 106*r**2/9 + 74*r/3 + 112/9 = 0. Calculate r.
-8, -1, 7
Solve 2*q**4 + 32*q**3 - 8*q**2 - 128*q = 0 for q.
-16, -2, 0, 2
Let 2*r**2 - 786*r - 788 = 0. Calculate r.
-1, 394
Let k**2/6 - 283*k/3 + 80089/6 = 0. What is k?
283
Let -5*j**2/4 - 487*j/4 - 97/2 = 0. Calculate j.
-97, -2/5
Determine b, given that 10*b**2/3 - 2326*b/3 - 932/3 = 0.
-2/5, 233
Solve -4*w**4 - 32*w**3 - 60*w**2 + 32*w + 64 = 0 for w.
-4, -1, 1
Factor -o**2 + 2*o + 48.
-(o - 8)*(o + 6)
Let u**5 + 2*u**4 - 9*u**3 - 22*u**2 + 4*u + 24 = 0. What is u?
-2, 1, 3
Solve -b**4/7 - 5283*b**3/7 - 6974880*b**2/7 + 6980164*b/7 = 0 for b.
-2642, 0, 1
Let -4*r**2 + 996*r - 992 = 0. Calculate r.
1, 248
Suppose -f**4 + 32*f**3 - 142*f**2 - 1824*f - 3249 = 0. Calculate f.
-3, 19
Find k, given that 2*k**2/3 + 4*k + 10/3 = 0.
-5, -1
Let 2*m**3/9 + 128*m**2/3 - 776*m/9 = 0. What is m?
-194, 0, 2
Solve -2*m**4 - 592*m**3 - 44976*m**2 - 172864*m - 170528 = 0 for m.
-146, -2
Find p such that -60*p**5 + 256*p**4 + 8*p**3 - 304*p**2 + 52*p + 48 = 0.
-1, -1/3, 3/5, 1, 4
Solve -2*g**2/11 - 436*g/11 - 23762/11 = 0 for g.
-109
Factor 11045*i**3 - 11985*i**2 + 960*i - 20.
5*(i - 1)*(47*i - 2)**2
Suppose -5*p**2 + 1180*p - 69620 = 0. What is p?
118
Factor -2*b**2/7 - 576*b - 290304.
-2*(b + 1008)**2/7
Factor 4*d**2 - 44208*d + 122146704.
4*(d - 5526)**2
Factor -5*i**3 - 20*i**2 + 5*i + 20.
-5*(i - 1)*(i + 1)*(i + 4)
Let 2*y**3/21 + 5608*y**2/7 + 15724832*y/7 + 44092428928/21 = 0. Calculate y.
-2804
Factor 20*h**5 + 15*h**4 - 65*h**3 - 85*h**2 - 15*h + 10.
5*(h - 2)*(h + 1)**3*(4*h - 1)
Solve -s**4/2 + 13*s**3/2 - 24*s**2 + 18*s = 0 for s.
0, 1, 6
Let -s**4/4 - 21*s**3/4 - 81*s**2/2 - 135*s - 162 = 0. What is s?
-6, -3
Factor -2*y**2 - 96*y + 648.
-2*(y - 6)*(y + 54)
Factor r**2/2 + 1019*r/2.
r*(r + 1019)/2
Suppose 45*v**4 - 2660*v**3 + 40750*v**2 - 42340*v + 4205 = 0. Calculate v.
1/9, 1, 29
Factor -3*z**2 + 15*z + 72.
-3*(z - 8)*(z + 3)
What is m in -m**5/4 + 7*m**4/4 - 17*m**3/4 + 17*m**2/4 - 3*m/2 = 0?
0, 1, 2, 3
Factor -20*p**4 - 32*p**3 - 4*p**2 + 8*p.
-4*p*(p + 1)**2*(5*p - 2)
Find g, given that g**5/6 + 3*g**4/2 + 8*g**3/3 - 6*g**2 - 40*g/3 = 0.
-5, -4, -2, 0, 2
Factor 2*k**4/11 + 46*k**3/11 + 126*k**2/11 + 122*k/11 + 40/11.
2*(k + 1)**3*(k + 20)/11
Factor -2*o**4/9 + 104*o**3/3 - 1352*o**2.
-2*o**2*(o - 78)**2/9
Solve -b**2/2 + 1230*b - 756450 = 0.
1230
Factor i**3/8 - i**2/8 - i/8 + 1/8.
(i - 1)**2*(i + 1)/8
Suppose 4*p**3 + 52*p**2 + 40*p - 96 = 0. Calculate p.
-12, -2, 1
Find b such that -b**2/3 - 14*b/3 = 0.
-14, 0
Factor -5*l**4 + 40*l**3 + 100*l**2.
-5*l**2*(l - 10)*(l + 2)
What is j in -j**3/4 - j**2/4 + 4*j + 4 = 0?
-4, -1, 4
Determine k, given that -28*k**2 + 1056*k + 2224 = 0.
-2, 278/7
Factor 4*q**3/5 + 284*q**2/5 + 6188*q/5 + 42772/5.
4*(q + 17)**2*(q + 37)/5
Let 14*d**3 - 3478*d**2/3 + 2792*d/3 - 328/3 = 0. What is d?
1/7, 2/3, 82
Solve -202*q**2/3 - 136*q - 8/3 = 0 for q.
-2, -2/101
Factor -4*m**4 - 228*m**3 - 3036*m**2 + 27508*m + 584016.
-4*(m - 12)*(m + 23)**3
Factor 5*n**4/2 + 19*n**3/2 + 8*n**2 - 2*n.
