a**2/7 - 940*a/7 - 110450/7.
-2*(a + 235)**2/7
Solve 3*g**3 + 63*g**2 + 105*g - 171 = 0 for g.
-19, -3, 1
Factor -2*o**5/17 - 58*o**4/17 + 192*o**3/17.
-2*o**3*(o - 3)*(o + 32)/17
Solve 2*l**3/3 - 4*l**2/3 = 0.
0, 2
Factor -g**4/6 - 17*g**3/6 - 8*g**2/3.
-g**2*(g + 1)*(g + 16)/6
Determine f so that 2*f**2 - 78*f + 76 = 0.
1, 38
Let 7*b**4/5 + 51*b**3/5 + 112*b**2/5 + 84*b/5 + 16/5 = 0. What is b?
-4, -2, -1, -2/7
Factor 5*y**5 + 15*y**4 - 10*y**3 - 60*y**2 - 40*y.
5*y*(y - 2)*(y + 1)*(y + 2)**2
Solve -13*k**4 - 15*k**3 + 50*k**2 + 60*k + 8 = 0.
-2, -1, -2/13, 2
Find b, given that -b**2/2 + 448*b - 100352 = 0.
448
Suppose 4*z**3 + 2404*z**2 + 2400*z = 0. What is z?
-600, -1, 0
Factor z**2/9 - 1169*z/3 + 3506/9.
(z - 3506)*(z - 1)/9
Find h, given that -h**3/3 - 7*h**2/3 + 10*h = 0.
-10, 0, 3
Let -5*s**3 + 15*s + 10 = 0. Calculate s.
-1, 2
Let -128*a**2/17 - 288*a/17 - 162/17 = 0. What is a?
-9/8
Factor -142*q**3 + 2276*q**2 - 9152*q + 256.
-2*(q - 8)**2*(71*q - 2)
Solve 15*u**3 - 935*u**2 + 1220*u = 0.
0, 4/3, 61
Solve -2*v**2 + 246*v = 0 for v.
0, 123
Factor -q**5 - 27*q**4 - 63*q**3 + 211*q**2 - 120*q.
-q*(q - 1)**2*(q + 5)*(q + 24)
Suppose 3*y**2 - 9*y - 120 = 0. Calculate y.
-5, 8
Factor 9*a**2/7 - 894*a/7 - 600/7.
3*(a - 100)*(3*a + 2)/7
Factor -2*o**4/17 + 288*o**3/17 - 10928*o**2/17 + 40320*o/17 - 39200/17.
-2*(o - 70)**2*(o - 2)**2/17
Let 21*d**3 - 6495*d**2 + 1854*d = 0. What is d?
0, 2/7, 309
Suppose 4*q**3/3 - 4700*q**2/9 - 6304*q/9 + 2096/3 = 0. Calculate q.
-2, 2/3, 393
Find x, given that 605*x**3/3 - 2035*x**2/3 + 680*x/3 - 20 = 0.
2/11, 3
Factor 245*d**4 + 2310*d**3 + 2540*d**2 - 2040*d + 320.
5*(d + 2)*(d + 8)*(7*d - 2)**2
Factor 33*v**3/2 - 27*v**2/2 - 36*v - 6.
3*(v - 2)*(v + 1)*(11*v + 2)/2
Suppose -f**3/5 - 12*f**2/5 + 27*f/5 + 486/5 = 0. Calculate f.
-9, 6
Determine q so that -q**3/9 + 100*q**2/9 - 293*q/9 + 194/9 = 0.
1, 2, 97
Let 3*o**4 - 3*o**3 - 27*o**2 - 33*o - 12 = 0. What is o?
-1, 4
Determine x, given that -5*x**4/4 - 701*x**3/4 - 6160*x**2 - 1225*x = 0.
-70, -1/5, 0
Solve n**5/5 - 6*n**4/5 + 8*n**3/5 + 6*n**2/5 - 9*n/5 = 0 for n.
-1, 0, 1, 3
Solve 105*o**4/2 - 414*o**3 - 1104*o**2 - 72*o + 120 = 0 for o.
-2, -2/5, 2/7, 10
Factor q**2/4 - 77*q + 5929.
(q - 154)**2/4
Factor u**3 + 137*u**2 + 4623*u - 4761.
(u - 1)*(u + 69)**2
Let 3*m**5 - 12*m**4 + 15*m**3 - 6*m**2 = 0. Calculate m.
0, 1, 2
Factor 8*d**3 - 92*d**2 + 160*d - 76.
4*(d - 1)**2*(2*d - 19)
Find o, given that o**5 + 266*o**4 + 1048*o**3 - 16*o**2 - 4208*o - 4192 = 0.
-262, -2, 2
Factor 20667*z**3 + 39840*z**2 - 2961*z + 54.
3*(z + 2)*(83*z - 3)**2
Find i, given that -3*i**5 + 3*i**4 + 162*i**3 - 444*i**2 - 24*i + 576 = 0.
-8, -1, 2, 6
Let -21*z**5 + 657*z**4 - 3210*z**3 - 33156*z**2 + 9720*z = 0. What is z?
-5, 0, 2/7, 18
Factor -15*a**4 + 51*a**3 - 48*a**2 + 12*a.
-3*a*(a - 2)*(a - 1)*(5*a - 2)
Factor 5*b**2/3 - 52*b/3 + 20/3.
(b - 10)*(5*b - 2)/3
Factor -t**4/9 + 52*t**3/3 - 1975*t**2/3 - 12482*t/9.
-t*(t - 79)**2*(t + 2)/9
What is v in 26*v**2/9 - 374*v/3 + 172/9 = 0?
2/13, 43
Suppose -z**5/10 + 77*z**4/10 - 166*z**3 + 3384*z**2/5 - 2592*z/5 = 0. Calculate z.
0, 1, 4, 36
Find q, given that -4*q**2/5 - 112*q/5 - 748/5 = 0.
-17, -11
Solve 9*v**4/7 - 102*v**3/7 - 3*v**2/7 + 408*v/7 - 132/7 = 0 for v.
-2, 1/3, 2, 11
Determine w, given that -15*w**5 - 51*w**4 - 48*w**3 - 12*w**2 = 0.
-2, -1, -2/5, 0
Find s, given that 2*s**2 + 38*s + 180 = 0.
-10, -9
Factor -2*i**3/7 + 8962*i**2/7 - 1434880*i + 1433600.
-2*(i - 2240)**2*(i - 1)/7
Factor j**2 - 154*j - 155.
(j - 155)*(j + 1)
Let -o**2 + 16*o = 0. What is o?
0, 16
Factor k**5/3 + 7*k**4/3 - 9*k**3 + 29*k**2/3 - 10*k/3.
k*(k - 1)**3*(k + 10)/3
Factor -2*v**2/9 - 2*v/9 + 8/3.
-2*(v - 3)*(v + 4)/9
Find p such that -p**5/5 - 4*p**4/5 + p**3/5 + 4*p**2/5 = 0.
-4, -1, 0, 1
Let -2*o**2 + 18*o - 16 = 0. Calculate o.
1, 8
What is q in -3*q**5/5 - 48*q**4/5 - 27*q**3 + 486*q**2/5 = 0?
-9, 0, 2
Factor -2*u**4/7 - 16*u**3/7 - 2*u**2/7 + 12*u.
-2*u*(u - 2)*(u + 3)*(u + 7)/7
Find f, given that 19*f**5/4 - 53*f**4/4 - 22*f**3 - 4*f**2 = 0.
-1, -4/19, 0, 4
Solve -4*z**5/3 + 4*z**4/3 + 12*z**3 - 52*z**2/3 - 32*z/3 + 16 = 0.
-3, -1, 1, 2
Solve -2*p**5 + 16*p**4 - 30*p**3 - 16*p**2 + 32*p = 0.
-1, 0, 1, 4
Factor -25*j**4 + 30*j**3 + 111*j**2 + 68*j + 12.
-(j - 3)*(j + 1)*(5*j + 2)**2
Let -36*u**3 - 564*u**2 - 364*u - 60 = 0. What is u?
-15, -1/3
Let -5*a**3 + 100*a**2 + 105*a = 0. What is a?
-1, 0, 21
Determine a, given that 5*a**3 - 5*a**2 - 25*a - 15 = 0.
-1, 3
Find n such that 3*n**3/5 + 36*n**2/5 + 123*n/5 + 18 = 0.
-6, -5, -1
Factor -5*a**4 + 55*a**3 + 780*a**2 + 2320*a + 1600.
-5*(a - 20)*(a + 1)*(a + 4)**2
Determine m, given that -2*m**4 + 2*m**3 + 20*m**2 + 16*m = 0.
-2, -1, 0, 4
Suppose 4*v**4 - 72*v**3 + 288*v**2 - 376*v + 156 = 0. Calculate v.
1, 3, 13
Let -c**4/5 + 7*c**3/5 + c**2/5 - 7*c/5 = 0. What is c?
-1, 0, 1, 7
Let -2*b**5/3 + 4*b**4/3 + 4*b**3 - 16*b**2/3 - 10*b/3 + 4 = 0. Calculate b.
-2, -1, 1, 3
Determine x, given that -25*x**3 + 110*x**2 - 40*x = 0.
0, 2/5, 4
Let 2*w**3/5 + 78*w**2/5 - 162*w/5 + 82/5 = 0. Calculate w.
-41, 1
What is g in 36*g**4 + 264*g**3 + 304*g**2 + 96*g = 0?
-6, -2/3, 0
Factor -5*x**4 + 1405*x**3 + 12915*x**2 + 39015*x + 39150.
-5*(x - 290)*(x + 3)**3
Factor 5*c**4 - 282*c**3 - 756*c**2 - 646*c - 177.
(c - 59)*(c + 1)**2*(5*c + 3)
Find k, given that -5*k**5 - 40*k**4 - 45*k**3 + 190*k**2 + 200*k = 0.
-5, -4, -1, 0, 2
Solve -z**2/5 + 67*z/5 + 68/5 = 0 for z.
-1, 68
Factor -3*p**2/4 - 6405*p/4 - 3201/2.
-3*(p + 1)*(p + 2134)/4
Factor 4*l**4 - 44*l**3 - 168*l**2.
4*l**2*(l - 14)*(l + 3)
Factor -2*y**4 - 20*y**3 - 56*y**2 - 48*y.
-2*y*(y + 2)**2*(y + 6)
Determine p, given that 2*p**4/13 + 30*p**3/13 + 144*p**2/13 + 224*p/13 = 0.
-7, -4, 0
Factor g**4 - 33*g**3 + 378*g**2 - 1760*g + 2688.
(g - 14)*(g - 8)**2*(g - 3)
Determine j, given that -36*j**5 - 276*j**4 - 136*j**3 + 248*j**2 + 172*j + 28 = 0.
-7, -1, -1/3, 1
Let -2*s**3 - 1516*s**2 - 290290*s - 1137032 = 0. What is s?
-377, -4
Factor 3*c**2 + 486*c + 1896.
3*(c + 4)*(c + 158)
Suppose -d**5/4 - 23*d**4/4 - 31*d**3/2 - 10*d**2 = 0. Calculate d.
-20, -2, -1, 0
Suppose 6*f**3/7 - 1340*f**2/7 - 322*f + 900/7 = 0. What is f?
-2, 1/3, 225
Let -8*q**5/5 + 554*q**4/15 + 1124*q**3/15 + 646*q**2/15 + 20*q/3 = 0. Calculate q.
-1, -2/3, -1/4, 0, 25
Find z such that z**5/2 - 3*z**4 - 19*z**3/2 + 8*z**2 + 30*z + 16 = 0.
-2, -1, 2, 8
Find a, given that 2*a**4 - 30*a**3 = 0.
0, 15
Factor 2*h**2/5 + 342*h/5 + 68.
2*(h + 1)*(h + 170)/5
Solve s**4 - 7*s**3 + 15*s**2 - 9*s = 0 for s.
0, 1, 3
Solve s**5/5 + 23*s**4/5 + 99*s**3/5 + 169*s**2/5 + 128*s/5 + 36/5 = 0 for s.
-18, -2, -1
Find f such that 2*f**3/7 + 10*f**2/7 - 12*f/7 = 0.
-6, 0, 1
Find z such that z**3 + 5*z**2 + 2*z - 8 = 0.
-4, -2, 1
Suppose -3*g**2/8 + 399*g/8 - 393/4 = 0. What is g?
2, 131
Factor 3*n**2 - 207*n.
3*n*(n - 69)
Factor 2*c**5/19 - 10*c**4/19 + 16*c**3/19 - 8*c**2/19.
2*c**2*(c - 2)**2*(c - 1)/19
Find f, given that -f**5/6 + 5*f**4/6 + 25*f**3/6 - 5*f**2/6 - 4*f = 0.
-3, -1, 0, 1, 8
Factor 8*z**3/3 - 2*z**2 - 338*z/3 - 28.
2*(z - 7)*(z + 6)*(4*z + 1)/3
Factor 2*l**4/3 - 20*l**3/3 + 56*l**2/3 - 4*l - 30.
2*(l - 5)*(l - 3)**2*(l + 1)/3
Let -m**5/4 + m**4/2 + 19*m**3/4 + 7*m**2 + 3*m = 0. Calculate m.
-2, -1, 0, 6
Factor y**2/4 - 3*y + 8.
(y - 8)*(y - 4)/4
Factor -2*n**3 - 50*n**2 + 224*n - 232.
-2*(n - 2)**2*(n + 29)
Find u such that u**3/3 + 2*u**2 - 5*u + 8/3 = 0.
-8, 1
What is v in -4*v**2/7 - 23192*v/7 - 33616804/7 = 0?
-2899
Let 2*c**2/17 + 1334*c/17 + 1332/17 = 0. Calculate c.
-666, -1
Solve -3*l**2 + 3*l + 216 = 0 for l.
-8, 9
Suppose -4*z**5 - 49*z**4 - 12*z**3 = 0. What is z?
-12, -1/4, 0
Factor -2*n**4 + 3*n**3.
-n**3*(2*n - 3)
Factor 2*y**2/5 + 6*y.
2*y*(y + 15)/5
Factor -u**3/5 + u**2/5 + u/5 - 1/5.
-(u - 1)**2*(u + 1)/5
Solve 21*r**4 + 69*r**3 - 192*r**2 - 60*r = 0.
-5, -2/7, 0, 2
Factor 2*q**3/11 - 128*q**2/11 + 602*q/11 - 708/11.
2*(q - 59)*(q - 3)*(q - 2)/11
Factor -f**2/7 - 37*f/7 + 38/7.
-(f - 1)*(f + 38)/7
Determine t so that 2*t**3/7 - 400*t**2/7 + 1576*t/7 - 224 = 0.
2, 196
Factor -2*r**5/11 + 12*r**4/11 + 72*r**3/11 + 80*r**2/11.
-2*r**2*(r - 10)*(r + 2)**2/11
Factor -2*w**5/5 + 14*w**4/15 - 2*w**3/5 - 2*w**2/5 + 4*w/15.
-2*w*(w - 1)**3*(3*w + 2)/15
Suppos