72*a - 42 = 0.
-7, 2/13, 1, 2
Solve 8*r**4 + 66*r**3 + 152*r**2 + 114*r + 20 = 0.
-5, -2, -1, -1/4
Determine n so that 27*n**3 + 321*n**2 + 936*n - 108 = 0.
-6, 1/9
Suppose 3*p**4 + 51*p**3 + 183*p**2 - 351*p - 486 = 0. What is p?
-9, -1, 2
Factor -458*w**2/5 - 452*w/5 + 6/5.
-2*(w + 1)*(229*w - 3)/5
Suppose -p**5/3 - 7*p**4 - 54*p**3 - 562*p**2/3 - 287*p - 147 = 0. Calculate p.
-7, -3, -1
Solve 5*v**2 - 6430*v + 2067245 = 0.
643
Factor -6*s**2 - 105*s/2 + 27/2.
-3*(s + 9)*(4*s - 1)/2
Factor -k**3/5 - 29*k**2/5 + k/5 + 29/5.
-(k - 1)*(k + 1)*(k + 29)/5
Factor -s**3 + 2*s**2 + 5*s - 6.
-(s - 3)*(s - 1)*(s + 2)
Let -10*h**2/3 - 274*h/9 - 4 = 0. What is h?
-9, -2/15
Solve 2*b**5/13 - 2*b**4 - 202*b**3/13 - 470*b**2/13 - 448*b/13 - 152/13 = 0.
-2, -1, 19
Factor 2*i**2/15 + 32*i/3 + 50.
2*(i + 5)*(i + 75)/15
Solve -s**3 + 57*s**2 + 240*s + 244 = 0 for s.
-2, 61
Determine m, given that -3*m**2/8 + 171*m/8 - 1053/4 = 0.
18, 39
Factor 4*y**2 - 560*y + 19600.
4*(y - 70)**2
Suppose -2*y**4/3 - 80*y**3/3 - 154*y**2/3 - 76*y/3 = 0. Calculate y.
-38, -1, 0
Factor -8*g**3 - 98*g**2 - 112*g - 22.
-2*(g + 1)*(g + 11)*(4*g + 1)
Factor -v**2 + 142*v.
-v*(v - 142)
Suppose -3*s**5 - 33*s**4/2 - 33*s**3 - 57*s**2/2 - 9*s = 0. Calculate s.
-2, -3/2, -1, 0
Suppose -10*g**2/3 - 1955*g/3 - 1945/3 = 0. Calculate g.
-389/2, -1
Factor 3*d**2/4 + 375*d/2 + 46875/4.
3*(d + 125)**2/4
What is z in -4*z**4 - 200*z**3 - 2496*z**2 + 200*z + 2500 = 0?
-25, -1, 1
Factor -c**5 - 40*c**4 - 399*c**3 + 40*c**2 + 400*c.
-c*(c - 1)*(c + 1)*(c + 20)**2
Factor -3*u**2/2 - 3000*u - 1500000.
-3*(u + 1000)**2/2
Factor -2*z**4 - 5*z**3 + 12*z**2 - z - 4.
-(z - 1)**2*(z + 4)*(2*z + 1)
Factor 25*m**2 - 210*m + 80.
5*(m - 8)*(5*m - 2)
Factor -2*q**2/7 + 368*q/7 + 744/7.
-2*(q - 186)*(q + 2)/7
Factor a**4/3 - a**2 - 2*a/3.
a*(a - 2)*(a + 1)**2/3
Solve g**3 + 616*g**2 = 0.
-616, 0
Factor 4*g**2 - 500*g - 504.
4*(g - 126)*(g + 1)
Solve -5*q**5 + 775*q**4 - 15335*q**3 + 94865*q**2 - 146800*q + 66500 = 0 for q.
1, 10, 133
Determine l, given that l**2/5 + 28*l - 141/5 = 0.
-141, 1
Let 4*f**3 - 60*f**2 + 144*f = 0. Calculate f.
0, 3, 12
Factor -4*k**3/9 + 316*k**2/9 - 2132*k/3 + 676.
-4*(k - 39)**2*(k - 1)/9
Factor -2*f**3/11 - 14*f**2/11 - 32*f/11 - 24/11.
-2*(f + 2)**2*(f + 3)/11
Factor -j**5 + 207*j**4 - 10608*j**3 - 10816*j**2.
-j**2*(j - 104)**2*(j + 1)
Solve 3*n**5/2 - 8637*n**4/2 + 3101757*n**3 + 9331197*n**2 + 18679683*n/2 + 6229443/2 = 0 for n.
-1, 1441
Let h**2 + 10*h + 16 = 0. Calculate h.
-8, -2
What is i in -25*i**2 - 645*i - 620 = 0?
-124/5, -1
Factor -2*c**2 - 1308*c - 2608.
-2*(c + 2)*(c + 652)
Find h such that 2*h**5/5 + 38*h**4/5 - 86*h**3/5 - 1718*h**2/5 - 1596*h/5 = 0.
-19, -6, -1, 0, 7
Factor 2*r**4 + 14*r**3 - 4*r**2 - 120*r - 144.
2*(r - 3)*(r + 2)**2*(r + 6)
Factor 3*k**3/7 - 13038*k**2/7 + 14165787*k/7.
3*k*(k - 2173)**2/7
Factor -18*p**2/5 + 18*p/5 + 8/5.
-2*(3*p - 4)*(3*p + 1)/5
Factor 5*x**5 - 440*x**4 + 10105*x**3 - 18490*x**2.
5*x**2*(x - 43)**2*(x - 2)
Factor -5*u**2 - 95*u.
-5*u*(u + 19)
Factor -5*m**3 + 120*m**2 + 20*m - 480.
-5*(m - 24)*(m - 2)*(m + 2)
Let -k**2/5 + 32*k - 1280 = 0. What is k?
80
Let j**4/3 - 7*j**3/3 - 98*j**2/3 = 0. Calculate j.
-7, 0, 14
Suppose x**3 + 8*x**2 - 23*x - 30 = 0. Calculate x.
-10, -1, 3
Factor -5*j**3 + 217*j**2 - 296*j + 84.
-(j - 42)*(j - 1)*(5*j - 2)
Let 4*j**5 - 80*j**4 + 64*j**3 + 232*j**2 - 68*j - 152 = 0. What is j?
-1, 1, 2, 19
Solve -x**3/2 + 3*x**2/2 - x = 0 for x.
0, 1, 2
Factor -2*n**2/15 + 1804*n/15.
-2*n*(n - 902)/15
Factor 2*u**2/3 + 101*u - 152/3.
(u + 152)*(2*u - 1)/3
Determine k, given that -6*k**4 - 147*k**3/4 = 0.
-49/8, 0
Factor 257049*o**2 - 2028*o + 4.
(507*o - 2)**2
Factor -4*y**5 + 4*y**4 + 4*y**3 - 4*y**2.
-4*y**2*(y - 1)**2*(y + 1)
Determine b so that -2*b**3/5 + 28*b**2 = 0.
0, 70
Let -l**4/9 - 14*l**3/9 - 11*l**2/9 + 26*l/9 = 0. What is l?
-13, -2, 0, 1
Suppose -2*q**2/11 + 904*q/11 = 0. What is q?
0, 452
Find y such that 5*y**5/2 - 25*y**4 + 145*y**3/2 - 80*y**2 + 30*y = 0.
0, 1, 2, 6
Factor -2*v**2 - 157*v + 240.
-(v + 80)*(2*v - 3)
Let 35*f**5 + 80*f**4 - 15*f**3 - 80*f**2 - 20*f = 0. What is f?
-2, -1, -2/7, 0, 1
Factor 4*z**3 - 276*z**2 + 4320*z + 15552.
4*(z - 36)**2*(z + 3)
Solve -9*g**5 + 176*g**4/7 - 171*g**3/7 + 66*g**2/7 - 8*g/7 = 0 for g.
0, 2/9, 4/7, 1
Solve 2*l**5 + 8*l**4 + 2*l**3 - 20*l**2 - 8*l + 16 = 0.
-2, 1
Factor -c**3 + 28*c**2 + 195*c + 306.
-(c - 34)*(c + 3)**2
Factor -242*w**4 - 528*w**3 - 90*w**2 - 4*w.
-2*w*(w + 2)*(11*w + 1)**2
Solve -4*y**5/9 - 140*y**4/9 + 8*y**3/9 + 280*y**2/9 - 4*y/9 - 140/9 = 0 for y.
-35, -1, 1
Solve -2*w**4/3 + 16*w**3/3 + 92*w**2 + 496*w/3 + 238/3 = 0.
-7, -1, 17
Let -2*u**5/3 - 58*u**4/3 - 136*u**3 + 512*u**2/3 + 8704*u/3 = 0. What is u?
-17, -8, 0, 4
Suppose q**5/6 + 19*q**4/6 - 51*q**3/2 - 55*q**2/6 + 244*q/3 - 50 = 0. What is q?
-25, -2, 1, 6
Factor -2*l**3/23 + 570*l**2/23 - 568*l/23.
-2*l*(l - 284)*(l - 1)/23
What is b in 3*b**3/5 - 813*b**2 - 4068*b/5 = 0?
-1, 0, 1356
Determine r, given that -3*r**4/8 - 36807*r**3/8 - 75258045*r**2/4 - 51275808525*r/2 + 25656723375 = 0.
-4090, 1
Factor -2*q**3/5 + 6*q**2.
-2*q**2*(q - 15)/5
Factor a**2/3 + 752*a/3 + 141376/3.
(a + 376)**2/3
Determine r so that 4*r**5/9 - 4*r**4/9 - 44*r**3/9 + 116*r**2/9 - 104*r/9 + 32/9 = 0.
-4, 1, 2
Determine t so that t**3/3 - 16*t**2/3 + 15*t + 54 = 0.
-2, 9
Factor -x**3 + 5*x**2 + 22*x + 16.
-(x - 8)*(x + 1)*(x + 2)
What is d in 2*d**5/7 + 4*d**4/7 - 10*d**3/7 - 12*d**2/7 = 0?
-3, -1, 0, 2
Find v such that -15*v**2 - 12*v + 36 = 0.
-2, 6/5
What is r in 14*r**3 + 60*r**2 - 152*r - 48 = 0?
-6, -2/7, 2
What is i in -i**3 - 25*i**2 - 47*i - 23 = 0?
-23, -1
Factor -2*u**2 + 100*u - 1250.
-2*(u - 25)**2
Determine g so that 228*g**5/5 - 681*g**4/5 + 219*g**3/5 + 687*g**2/5 - 447*g/5 - 6/5 = 0.
-1, -1/76, 1, 2
Suppose -2*w**3 - 966*w**2 + 1938*w - 970 = 0. Calculate w.
-485, 1
Solve -245*w**4 + 6475*w**3 + 25810*w**2 + 13140*w + 1800 = 0 for w.
-3, -2/7, 30
Suppose 16*v**4/7 - 380*v**3 + 5924*v**2/7 - 3280*v/7 = 0. What is v?
0, 1, 5/4, 164
Find a, given that -5*a**5 + 75*a**4 - 305*a**3 + 105*a**2 + 490*a = 0.
-1, 0, 2, 7
Factor 3*d**2/8 - 1287*d/8 - 645/4.
3*(d - 430)*(d + 1)/8
Determine k so that -2*k**3 - 30*k**2 + 66*k - 34 = 0.
-17, 1
Find j such that 2*j**4 + 1176*j**3 + 175208*j**2 + 686784*j + 682112 = 0.
-292, -2
Determine q, given that -10*q**5/9 - 2*q**4/3 + 14*q**3/9 + 2*q**2/3 - 4*q/9 = 0.
-1, 0, 2/5, 1
Determine h so that -2*h**5/13 + 72*h**4/13 - 716*h**3/13 + 1224*h**2/13 - 578*h/13 = 0.
0, 1, 17
Suppose 2*w**4/13 + 4*w**3/13 - 34*w**2/13 - 36*w/13 + 144/13 = 0. Calculate w.
-4, -3, 2, 3
Solve -36*n**5 + 48*n**4 + 20*n**3 - 48*n**2 + 16*n = 0 for n.
-1, 0, 2/3, 1
Factor -3*n**2/7 + 3*n + 24/7.
-3*(n - 8)*(n + 1)/7
Suppose 18*a**3 + 213*a**2 + 162*a - 33 = 0. Calculate a.
-11, -1, 1/6
Factor h**3 + 4*h**2.
h**2*(h + 4)
Let 5*p**5/2 - 25*p**4/2 + 45*p**3/2 - 35*p**2/2 + 5*p = 0. Calculate p.
0, 1, 2
Factor 12*k**4/7 - 62*k**3/7 + 10*k**2/7.
2*k**2*(k - 5)*(6*k - 1)/7
Find r such that 2*r**5 - 4*r**4 - 8*r**3 + 4*r**2 + 6*r = 0.
-1, 0, 1, 3
Determine f so that -f**4/4 + 131*f**3/4 - 129*f**2/4 - 131*f/4 + 65/2 = 0.
-1, 1, 130
Factor p**2 + 820*p - 2469.
(p - 3)*(p + 823)
Solve -4*t**5/5 + 28*t**4/5 - 32*t**2 + 64*t/5 + 192/5 = 0 for t.
-2, -1, 2, 6
Factor 5*m**3 + 55*m**2 - 2245*m - 2295.
5*(m - 17)*(m + 1)*(m + 27)
Factor 2*j**4/5 + 642*j**3/5 - 780*j**2 + 7832*j/5 - 5232/5.
2*(j - 2)**3*(j + 327)/5
Factor w**5 + 7*w**4 + 17*w**3 + 17*w**2 + 6*w.
w*(w + 1)**2*(w + 2)*(w + 3)
Determine k, given that -4*k**4 + 144*k**3 - 408*k**2 + 400*k - 132 = 0.
1, 33
Factor 2*b**2/11 + 46*b/11 + 4.
2*(b + 1)*(b + 22)/11
Find k such that -k**5 + 2*k**4 + 2*k**3 - 8*k**2 + 7*k - 2 = 0.
-2, 1
Factor 3*a**3 - 13*a**2 - 18*a + 40.
(a - 5)*(a + 2)*(3*a - 4)
Factor 2*n**2/13 - 18*n/13 - 224/13.
2*(n - 16)*(n + 7)/13
Factor 3*f**4 + 2532*f**3 - 2535*f**2.
3*f**2*(f - 1)*(f + 845)
Factor 2*z**3 + 866*z**2 + 93310*z - 94178.
2*(z - 1)*(z + 217)**2
Solve 4*s**2 - 28*s - 240 = 0.
-5, 12
Factor 5*p**3 - 345*p**2 + 675*p - 335.
5*(p - 67)*(p - 1)**2
Solve -3*r**5 + 9*r**3 - 6*r**2 = 0.
-2, 0, 1
Factor w**2/3 - 67*w/3 - 70.
(w - 70)*(w + 3)/3
Factor -3*f**2 - 741*f - 738.
-3*(f + 1)*(f + 246)
F