x**2/4 + 51*x/2 + 18.
-3*(x - 12)*(x + 1)*(x + 2)/4
Let 2*i**3/5 + 2*i**2 - 496*i/5 - 504/5 = 0. Calculate i.
-18, -1, 14
Suppose -11*f**2/3 + 8*f - 4/3 = 0. What is f?
2/11, 2
Solve u**2 - 10*u + 9 = 0 for u.
1, 9
Suppose 5*b**2 + 117*b + 46 = 0. What is b?
-23, -2/5
Factor -j**4/6 - 11*j**3/6 + 20*j**2 - 18*j.
-j*(j - 6)*(j - 1)*(j + 18)/6
Suppose -3*d**2/4 + 195*d/4 - 48 = 0. Calculate d.
1, 64
Solve -2*m**4/23 + 54*m**3/23 - 200*m**2/23 - 1512*m/23 - 1760/23 = 0 for m.
-2, 11, 20
Determine r, given that -15*r**2 - 6*r + 9 = 0.
-1, 3/5
Suppose -2*a**2/11 + 314*a/11 = 0. What is a?
0, 157
Suppose -3*n**2 - 1488*n - 184512 = 0. Calculate n.
-248
Let -2*x**5 + 28*x**4/5 - 6*x**3/5 - 28*x**2/5 + 16*x/5 = 0. What is x?
-1, 0, 4/5, 1, 2
Factor 77*r**2/2 + 39*r + 1/2.
(r + 1)*(77*r + 1)/2
Solve -4*b**4 - 204*b**3 - 192*b**2 + 400*b = 0 for b.
-50, -2, 0, 1
Find p such that p**5/3 - 31*p**4/3 + 82*p**3/3 + 254*p**2 - 465*p - 2025 = 0.
-3, 5, 27
Find j such that j**5/4 + 4*j**4 + 13*j**3 - 23*j**2/2 - 133*j/4 + 55/2 = 0.
-11, -5, -2, 1
Determine s so that s**2 + 756*s + 142884 = 0.
-378
Find s such that -s**5/9 - s**4/3 + 7*s**3/9 + 3*s**2 + 2*s = 0.
-3, -2, -1, 0, 3
Determine s so that -7*s**2/3 + 142*s/3 - 40/3 = 0.
2/7, 20
Factor 2*b**5 + 150*b**4 + 3750*b**3 + 31250*b**2.
2*b**2*(b + 25)**3
Factor -z**2/2 + 9*z + 20.
-(z - 20)*(z + 2)/2
Factor -3*v**2 - 687*v.
-3*v*(v + 229)
Let 9*m**5 + 3*m**4 - 105*m**3 - 15*m**2 + 216*m - 108 = 0. Calculate m.
-3, -2, 2/3, 1, 3
Determine j, given that j**5 - 3*j**4 - 22*j**3 - 38*j**2 - 27*j - 7 = 0.
-1, 7
Factor -4*q**5 + 48*q**4/7 - 12*q**3/7 - 8*q**2/7.
-4*q**2*(q - 1)**2*(7*q + 2)/7
Factor 5*h**4/4 + 15*h**3/4 - 80*h**2 + 75*h.
5*h*(h - 6)*(h - 1)*(h + 10)/4
Find r, given that 2*r**4/11 - 10*r**2/11 + 8/11 = 0.
-2, -1, 1, 2
Factor 2*k**2/7 + 666*k/7.
2*k*(k + 333)/7
Let 2*b**2/7 + 5732*b/7 + 4106978/7 = 0. Calculate b.
-1433
Let -3*z**5/8 - 9*z**4/8 + 51*z**3/8 + 81*z**2/8 - 33*z + 18 = 0. What is z?
-4, 1, 3
Find b, given that 9*b**3/2 - 147*b**2/4 + 363*b/4 - 63 = 0.
7/6, 3, 4
Find u such that -6*u**4 + 117*u**3 + 318*u**2 + 261*u + 66 = 0.
-1, -1/2, 22
Suppose q**2/2 + 1051*q + 1104601/2 = 0. What is q?
-1051
Factor r**2/2 - 10*r + 19/2.
(r - 19)*(r - 1)/2
Factor -j**3/3 - 155*j**2/3 - 154*j/3.
-j*(j + 1)*(j + 154)/3
Let -u**3 - 9*u**2 + 1848*u + 36848 = 0. Calculate u.
-28, 47
Factor 2*m**4/11 - 596*m**3/11 + 1186*m**2/11 - 592*m/11.
2*m*(m - 296)*(m - 1)**2/11
Solve 5*x**2 - 1180*x + 69620 = 0 for x.
118
Factor -v**5/3 - 40*v**4/3 - 544*v**3/3 - 2626*v**2/3 - 1183*v/3 + 4394/3.
-(v - 1)*(v + 2)*(v + 13)**3/3
Factor -l**2/5 + 656*l/5 - 107584/5.
-(l - 328)**2/5
Find a, given that 84*a**3 - 808*a**2 - 4204*a + 1488 = 0.
-4, 1/3, 93/7
Let t**3/6 - 11*t**2/3 + 41*t/6 - 10/3 = 0. What is t?
1, 20
Find n such that 2*n**4/5 + 36*n**3/5 + 6*n**2 - 68*n/5 = 0.
-17, -2, 0, 1
Find r, given that r**3 + 249*r**2 + 15624*r + 15376 = 0.
-124, -1
Suppose -3*b**3/2 + 111*b**2 = 0. What is b?
0, 74
Factor 4*x**3 + 96*x**2 - 1260*x + 3400.
4*(x - 5)**2*(x + 34)
Factor 3*y**3 - 186*y**2 - 1632*y - 3360.
3*(y - 70)*(y + 4)**2
Suppose 5*g**5 + 40*g**4 - 1410*g**3 - 13000*g**2 + 14365*g = 0. Calculate g.
-13, 0, 1, 17
Let -25*s**3 + 195*s**2 - 360*s - 80 = 0. What is s?
-1/5, 4
Factor a**2/4 + 249*a/2 + 62001/4.
(a + 249)**2/4
Let 3*s**5 - 9*s**4 - 3*s**3 + 21*s**2 - 12 = 0. Calculate s.
-1, 1, 2
Factor 4*g**3 + 24*g**2 - 4*g - 24.
4*(g - 1)*(g + 1)*(g + 6)
Suppose 2*r**4 + 16*r**3 + 48*r**2 + 64*r + 32 = 0. Calculate r.
-2
Factor -5*h**2 + 10300*h - 5304500.
-5*(h - 1030)**2
Determine r so that r**3/5 + 23*r**2/5 - 10*r = 0.
-25, 0, 2
Let -36*r**2 - 2964*r + 992 = 0. What is r?
-248/3, 1/3
Find x, given that 2*x**3/5 - 834*x**2/5 + 86526*x/5 + 87362/5 = 0.
-1, 209
Solve 3*c**4/2 - 185*c**3/2 + 117*c**2/2 + 309*c/2 - 122 = 0.
-4/3, 1, 61
Suppose 4*j**5 - 136*j**4 + 1572*j**3 - 7072*j**2 + 10816*j = 0. What is j?
0, 4, 13
Suppose 3*c**2/2 - 39*c/4 + 45/4 = 0. What is c?
3/2, 5
Determine r, given that 2*r**5 + 50*r**4 - 6*r**3 - 154*r**2 - 100*r = 0.
-25, -1, 0, 2
Factor -4*q**3/5 + 8*q**2/5 + 4*q/5 - 8/5.
-4*(q - 2)*(q - 1)*(q + 1)/5
Factor -3*y**3 + 48*y**2 - 144*y.
-3*y*(y - 12)*(y - 4)
Factor -4*d**2 - 36*d + 448.
-4*(d - 7)*(d + 16)
Solve -2*b**5/15 + 34*b**3/15 + 24*b**2/5 + 8*b/3 = 0.
-2, -1, 0, 5
Let -4*a**5/3 + 43*a**4/3 - 43*a**3 + 65*a**2/3 + 25*a/3 = 0. What is a?
-1/4, 0, 1, 5
Determine k, given that -5*k**3 + 60*k**2 + 345*k - 400 = 0.
-5, 1, 16
Factor 4*j**2 - 88*j - 92.
4*(j - 23)*(j + 1)
What is a in -7*a**4 + 156*a**3 - 331*a**2 + 222*a - 40 = 0?
2/7, 1, 20
Factor 3*a**2/4 - 3.
3*(a - 2)*(a + 2)/4
Factor 2*x**2 + 396*x - 398.
2*(x - 1)*(x + 199)
Determine x, given that -125*x**4/4 - 925*x**3 - 1095*x**2/2 - 109*x - 29/4 = 0.
-29, -1/5
Factor -2*f**4 + 6*f**3 + 6*f**2 - 14*f - 12.
-2*(f - 3)*(f - 2)*(f + 1)**2
Factor r**5 + 4*r**4 + 4*r**3 - 2*r**2 - 5*r - 2.
(r - 1)*(r + 1)**3*(r + 2)
Factor 3*v**2 - 3.
3*(v - 1)*(v + 1)
Find a such that a**3/3 - 6*a**2 - 331*a/3 + 116 = 0.
-12, 1, 29
Factor 13*k**3/5 + 24*k**2/5 + 9*k/5 - 2/5.
(k + 1)**2*(13*k - 2)/5
Suppose -8*z**5 - 75*z**4 - 267*z**3 - 442*z**2 - 324*z - 72 = 0. Calculate z.
-3, -2, -3/8
Factor 4*q**4 + 1476*q**3 - 4452*q**2 + 4460*q - 1488.
4*(q - 1)**3*(q + 372)
Determine w so that -2*w**2/17 - 536*w/17 + 1626/17 = 0.
-271, 3
What is a in -4*a**3/5 - 4884*a**2/5 + 4888*a/5 = 0?
-1222, 0, 1
Let o**3 - o**2 - o + 1 = 0. What is o?
-1, 1
Factor -2*a**2/9 - 98*a/9 - 1088/9.
-2*(a + 17)*(a + 32)/9
Factor -o**2/2 + 403*o/2 + 202.
-(o - 404)*(o + 1)/2
Factor -4*g**4 - 164*g**3 + 516*g**2 - 524*g + 176.
-4*(g - 1)**3*(g + 44)
Find l, given that -l**3/5 + 3*l**2/5 + 8*l = 0.
-5, 0, 8
Factor -h**3 - 8*h**2 + 20*h.
-h*(h - 2)*(h + 10)
Determine l, given that -2*l**2/5 - 18*l + 188/5 = 0.
-47, 2
Factor -v**4 + 3*v**3 + 2*v**2 - 12*v + 8.
-(v - 2)**2*(v - 1)*(v + 2)
Factor -2*i**2/5 - 12*i/5 + 14/5.
-2*(i - 1)*(i + 7)/5
Factor -o**3/8 + o**2 + 137*o/8 - 18.
-(o - 16)*(o - 1)*(o + 9)/8
Factor -5*q**3 + 35*q**2 - 35*q - 75.
-5*(q - 5)*(q - 3)*(q + 1)
Factor -2*w**3 - 116*w**2/7 - 130*w/7 - 4.
-2*(w + 1)*(w + 7)*(7*w + 2)/7
Factor -5*a**3 + 130*a**2 - 555*a + 630.
-5*(a - 21)*(a - 3)*(a - 2)
Let -5*s**3 - 90*s**2 - 345*s - 260 = 0. What is s?
-13, -4, -1
What is t in -2*t**4/9 - 8*t**3/9 - 8*t**2/9 = 0?
-2, 0
Factor -z**4/2 - 26*z**3 + 304*z**2 - 408*z - 2232.
-(z - 6)**2*(z + 2)*(z + 62)/2
Let 2*i**2 + 222*i + 220 = 0. Calculate i.
-110, -1
Factor 3*l**4/5 - 8*l**3/5 + 6*l**2/5 - 1/5.
(l - 1)**3*(3*l + 1)/5
Factor -5*i**3 + 55*i**2 - 35*i - 735.
-5*(i - 7)**2*(i + 3)
Let -16*r**5/3 + 2*r**4 + 74*r**3/3 - 8*r**2 - 40*r/3 = 0. What is r?
-2, -5/8, 0, 1, 2
Solve -320*y**2 - 636*y + 8 = 0 for y.
-2, 1/80
Determine z so that -3*z**5 - 168*z**4 - 477*z**3 + 12*z**2 + 636*z = 0.
-53, -2, 0, 1
Let -5*u**3/3 + 10*u**2 - 55*u/3 + 10 = 0. What is u?
1, 2, 3
Let 2*x**4/9 - 2*x**3/3 - 188*x**2/9 - 112*x/3 = 0. Calculate x.
-7, -2, 0, 12
Let -4*z**2/7 + 12*z - 80/7 = 0. Calculate z.
1, 20
Let -p**4/2 - 4*p**3 + 9*p**2/2 = 0. What is p?
-9, 0, 1
Find t such that 4*t**4/7 + 32*t**3/7 + 80*t**2/7 + 64*t/7 = 0.
-4, -2, 0
Suppose 2*k**4 - 4*k**2 + 2 = 0. What is k?
-1, 1
Factor -2*l**3/3 + 1016*l**2/3 - 129032*l/3.
-2*l*(l - 254)**2/3
Solve -3*k**4/2 + 54*k**3 - 297*k**2/2 - 6*k + 198 = 0.
-1, 2, 33
Determine m, given that m**5 - 5*m**4 + 3*m**3 + 17*m**2 - 28*m + 12 = 0.
-2, 1, 2, 3
Find a, given that 2*a**3 + 232*a**2/3 - 190*a + 164/3 = 0.
-41, 1/3, 2
Find t such that -2*t**2 + 102*t - 100 = 0.
1, 50
Solve r**2/7 - 2*r + 24/7 = 0 for r.
2, 12
Factor t**4/8 - 57*t**3/8 - 89*t**2/4 - 15*t.
t*(t - 60)*(t + 1)*(t + 2)/8
Determine s, given that -2*s**3/9 + 100*s**2/9 - 374*s/3 + 280 = 0.
3, 12, 35
Factor 4*i**2 + 20*i - 24.
4*(i - 1)*(i + 6)
Suppose j**3 + 25*j**2 + 119*j + 95 = 0. What is j?
-19, -5, -1
What is z in -22*z**3 - 348*z**2 - 1322*z + 252 = 0?
-9, -7, 2/11
Factor -4*v**3 - 36*v**2 + 256*v - 336.
-4*(v - 3)*(v - 2)*(v + 14)
Factor -2*x**4/3 + 42*x**3 - 124*x**2/3.
-2*x**2*(x - 62)*(x - 1)/3
Factor -45*u**3 + 42*u**2 + 9*u - 6.
-3*(u - 1)*(3*u - 1)*(5*u + 2)
Find s, given that 3*s**3/5 + 24*s**2/5 + 27*s/5 - 54/5 = 0.
-6, -3, 1
Find a such that 3*a**4/2 + 21*a**3/2 = 0.
