 2*l - 1.
(l - 1)*(l + 1)**3
Solve -190*v**4/3 - 6967*v**3 - 20875*v**2/3 - 2036*v - 436/3 = 0.
-109, -1/2, -2/5, -2/19
Factor -2*c**4/11 + 12*c**2/11 - 16*c/11 + 6/11.
-2*(c - 1)**3*(c + 3)/11
Solve -2*o**2/25 - 4*o/5 + 48/25 = 0.
-12, 2
Suppose 2*w**2/5 - 16*w/5 - 66/5 = 0. What is w?
-3, 11
Find i such that 5*i**5 + 15*i**4 - 30*i**3 - 140*i**2 - 120*i = 0.
-2, 0, 3
Factor 4*l**4/9 - 16*l**3/3 + 40*l**2/3 + 400*l/9 - 500/3.
4*(l - 5)**3*(l + 3)/9
Determine n, given that -5*n**4 + 35*n**3 + 410*n**2 + 1060*n + 840 = 0.
-3, -2, 14
Let 3*f**3/7 + 31*f**2/7 - 23*f/7 - 11/7 = 0. What is f?
-11, -1/3, 1
What is o in o**2 - 7*o - 44 = 0?
-4, 11
Solve -2*z**3 + 22*z**2 - 52*z + 32 = 0.
1, 2, 8
Factor -k**2/2 - 379*k/2.
-k*(k + 379)/2
Factor 9*a**3 + 84*a**2 + 21*a - 54.
3*(a + 1)*(a + 9)*(3*a - 2)
Factor 4*k**3 - 2000*k**2 - 12108*k - 18216.
4*(k - 506)*(k + 3)**2
Determine z so that 64*z**5/9 - 256*z**4/3 + 220*z**3/3 + 478*z**2/9 + 22*z/3 = 0.
-1/4, 0, 3/2, 11
Factor -2*q**3 - 54*q**2 - 432*q - 864.
-2*(q + 3)*(q + 12)**2
Factor 19*z**2/6 - 82*z - 26/3.
(z - 26)*(19*z + 2)/6
Factor -4*l**3 + 12*l**2 + 16*l.
-4*l*(l - 4)*(l + 1)
Suppose 4*o**5 - 48*o**3 - 8*o**2 + 108*o + 72 = 0. What is o?
-3, -1, 2, 3
Find q, given that -125*q**5 + 350*q**4 + 2155*q**3 - 4360*q**2 + 2380*q - 400 = 0.
-4, 2/5, 1, 5
Determine g so that -g**3/5 - 266*g**2/5 = 0.
-266, 0
Solve i**4 - 10*i**3 - 72*i**2 - 54*i + 135 = 0 for i.
-3, 1, 15
Factor -3*n**2 + 36*n - 81.
-3*(n - 9)*(n - 3)
Determine c so that -5*c**2 + 1280*c - 81920 = 0.
128
Let -5*g**3 - 3725*g**2 - 691915*g + 695645 = 0. Calculate g.
-373, 1
Suppose -2*m**3/5 - 6*m**2 + 66*m/5 - 34/5 = 0. Calculate m.
-17, 1
Suppose d**3/7 + 17*d**2 - 242*d/7 = 0. What is d?
-121, 0, 2
Suppose -4*q**4/3 - 12*q**3 - 32*q**2/3 = 0. What is q?
-8, -1, 0
Factor 14*z**3/5 - 306*z**2/5 + 1008*z/5 - 648/5.
2*(z - 18)*(z - 3)*(7*z - 6)/5
Determine d so that -d**4/4 + 15*d**3/2 + 51*d**2 + 106*d + 72 = 0.
-2, 36
Factor -c**4/4 - 85*c**3 - 13931*c**2/2 + 44115*c - 269361/4.
-(c - 3)**2*(c + 173)**2/4
Find w such that w**5/2 - 3*w**4/2 - 7*w**3/2 + 27*w**2/2 - 9*w = 0.
-3, 0, 1, 2, 3
Factor -x**2/6 - 65*x/6.
-x*(x + 65)/6
Factor -9*v**3 + 789*v**2 - 2790*v + 1512.
-3*(v - 84)*(v - 3)*(3*v - 2)
Solve 3*b**2 + 30*b - 33 = 0.
-11, 1
Suppose -2*b**3/7 + 36*b**2/7 - 130*b/7 = 0. What is b?
0, 5, 13
Factor -4*c**4 - 1108*c**3 - 1096*c**2 + 2208*c.
-4*c*(c - 1)*(c + 2)*(c + 276)
Suppose 2*v**4/3 - 8*v**3/3 - 12*v**2 - 40*v/3 - 14/3 = 0. Calculate v.
-1, 7
Factor -l**2/3 - 2338*l/3 - 1366561/3.
-(l + 1169)**2/3
Determine z, given that z**2/6 - 223*z/6 - 454/3 = 0.
-4, 227
Suppose v**4 - 615*v**3 + 614*v**2 = 0. What is v?
0, 1, 614
Factor -4*m**2 + 2540*m + 2544.
-4*(m - 636)*(m + 1)
Factor l**2/6 + 1859*l/6 - 310.
(l - 1)*(l + 1860)/6
Determine u, given that -3*u**3 - 65*u**2 - 41*u + 21 = 0.
-21, -1, 1/3
Determine m, given that m**3 + m**2 - 169*m - 169 = 0.
-13, -1, 13
Factor 4*v**4 - 60*v**3 - 208*v**2 - 144*v.
4*v*(v - 18)*(v + 1)*(v + 2)
Suppose 2*s**2/7 + 116*s/7 - 118/7 = 0. Calculate s.
-59, 1
Suppose 2*a**4/3 + 4*a**3/3 - 2*a**2 - 8*a/3 + 8/3 = 0. What is a?
-2, 1
Let 5*t**5 + 5*t**4 - 260*t**3 + 820*t**2 - 720*t = 0. What is t?
-9, 0, 2, 4
Let 5*a**5 + 100*a**4 + 65*a**3 - 570*a**2 = 0. Calculate a.
-19, -3, 0, 2
Factor 4*g**2 + 676*g + 672.
4*(g + 1)*(g + 168)
Factor -2*v**2/5 - 1074*v/5 + 4328/5.
-2*(v - 4)*(v + 541)/5
Factor z**2/4 - 541*z/2 + 292681/4.
(z - 541)**2/4
Factor -4*x**3 + 120*x**2 - 1008*x + 1568.
-4*(x - 14)**2*(x - 2)
Factor z**3/2 - 27*z**2/2 - z/2 + 27/2.
(z - 27)*(z - 1)*(z + 1)/2
Factor 3*t**3/2 + 21*t**2 + 60*t.
3*t*(t + 4)*(t + 10)/2
Factor -v**4/2 + 7*v**3 - 34*v**2 + 68*v - 48.
-(v - 6)*(v - 4)*(v - 2)**2/2
Factor b**3 - 4*b**2 + 4*b.
b*(b - 2)**2
Let -9*l**4/5 - 564*l**3/5 - 537*l**2/5 + 222*l = 0. Calculate l.
-185/3, -2, 0, 1
Suppose -4*d**4/7 - 52*d**3/7 - 48*d**2/7 = 0. What is d?
-12, -1, 0
Factor 13*z**2 + 27*z + 2.
(z + 2)*(13*z + 1)
Factor -2*h**2/7 + 9818*h/7.
-2*h*(h - 4909)/7
Factor 243*t**3 + 252126*t**2 - 112092*t + 12456.
3*(t + 1038)*(9*t - 2)**2
Factor -5*o**2 - 105*o - 270.
-5*(o + 3)*(o + 18)
Solve -u**5/2 - 97*u**4/2 - 1199*u**3 - 1056*u**2 + 2304*u = 0.
-48, -2, 0, 1
Find t, given that -4*t**2 + 3332*t + 3336 = 0.
-1, 834
Factor g**3/7 - 46*g**2/7 - 99*g/7 + 144/7.
(g - 48)*(g - 1)*(g + 3)/7
Determine d, given that -100352*d**3/5 - 20608*d**2 - 2706*d/5 - 18/5 = 0.
-1, -3/224
Factor 2*c**2/5 + 4*c - 78/5.
2*(c - 3)*(c + 13)/5
Factor 2*n**4/7 - 10*n**3/7 + 8*n**2/7.
2*n**2*(n - 4)*(n - 1)/7
Factor -2*c**2/9 + 34*c/9 + 56/3.
-2*(c - 21)*(c + 4)/9
Factor -3*t**2/7 + 363*t/7 + 1116/7.
-3*(t - 124)*(t + 3)/7
Find g, given that g**5/6 + g**4/3 - 2*g**3 - 4*g**2/3 + 16*g/3 = 0.
-4, -2, 0, 2
Determine y, given that -3*y**2/2 + 7095*y - 16779675/2 = 0.
2365
Determine p, given that -3*p**5 - 45*p**4 - 9*p**3 + 969*p**2 + 504*p - 5616 = 0.
-13, -4, 3
Factor -2*a**5 + 22*a**4 - 38*a**3 + 18*a**2.
-2*a**2*(a - 9)*(a - 1)**2
Solve 2*i**3 + 10*i**2 + 14*i + 6 = 0.
-3, -1
Factor 2*l**2 + 94*l + 924.
2*(l + 14)*(l + 33)
Solve x**4/2 - 17*x**3/2 + 39*x**2 - 70*x + 44 = 0 for x.
2, 11
Suppose -j**4/2 + 3*j**3 + 26*j**2 - 204*j + 288 = 0. What is j?
-8, 2, 6
Solve -4*b**2 + 36*b + 360 = 0.
-6, 15
Determine s, given that 4*s**5 + 4048*s**4 - 8112*s**3 = 0.
-1014, 0, 2
Let -2*g**5 - 39*g**4/5 - 34*g**3/5 + 12*g**2/5 + 8*g/5 = 0. Calculate g.
-2, -2/5, 0, 1/2
Factor -2*g**2/9 - 424*g/9 + 142/3.
-2*(g - 1)*(g + 213)/9
Factor -p**3/4 - 2*p**2 - p/4 + 21/2.
-(p - 2)*(p + 3)*(p + 7)/4
What is b in -4*b**3 - 12*b**2 + 16*b = 0?
-4, 0, 1
Find f such that f**4/8 + 129*f**3/8 + 528*f**2 + 512*f = 0.
-64, -1, 0
Factor k**3/6 - k**2/3 - 5*k/2 + 6.
(k - 3)**2*(k + 4)/6
Let q**3 - 8*q**2 - 124*q + 560 = 0. What is q?
-10, 4, 14
Factor -3*n**2/5 - 366*n/5 - 11163/5.
-3*(n + 61)**2/5
Factor w**4/5 - 29*w**3/5 + 148*w**2/5 + 84*w.
w*(w - 21)*(w - 10)*(w + 2)/5
Determine d so that 2*d**3/3 + 152*d**2/3 + 728*d - 9408 = 0.
-42, 8
Find t, given that -12*t**4 + 141*t**3 - 216*t**2 - 1239*t - 294 = 0.
-2, -1/4, 7
Factor -9*d**3 - 209*d**2 - 244*d - 44.
-(d + 1)*(d + 22)*(9*d + 2)
Factor -g**5 + 36*g**4 + 38*g**3 - 36*g**2 - 37*g.
-g*(g - 37)*(g - 1)*(g + 1)**2
Let 5*r**2 - 670*r + 665 = 0. Calculate r.
1, 133
Let 2*m**4 + 632*m**3 - 1272*m**2 = 0. What is m?
-318, 0, 2
Solve -w**2/2 - 20*w - 38 = 0 for w.
-38, -2
Find f such that -2*f**3/7 - 128*f**2/7 - 1914*f/7 + 4356/7 = 0.
-33, 2
Factor -t**4/3 + 19*t**3/3 + 29*t**2 + 113*t/3 + 46/3.
-(t - 23)*(t + 1)**2*(t + 2)/3
Factor -2*r**3/3 + 10*r**2/9 + 16*r/3 + 32/9.
-2*(r - 4)*(r + 1)*(3*r + 4)/9
Factor 3*x**3/4 - 9*x**2/4 - 75*x/4 - 63/4.
3*(x - 7)*(x + 1)*(x + 3)/4
Suppose b**2/2 + 411*b/2 - 206 = 0. What is b?
-412, 1
Factor 3*u**2 + 291*u + 1638.
3*(u + 6)*(u + 91)
Suppose h**4/2 + h**3/2 - 2*h**2 - 2*h = 0. Calculate h.
-2, -1, 0, 2
Factor 4*i**3 - 2952*i**2 - 4*i + 2952.
4*(i - 738)*(i - 1)*(i + 1)
Determine y, given that -5*y**4 + 10*y**3 + 65*y**2 + 50*y = 0.
-2, -1, 0, 5
Let -3*r**2 - 105*r - 102 = 0. Calculate r.
-34, -1
Determine b so that -5*b**5 - 5*b**4 + 65*b**3 + 125*b**2 + 60*b = 0.
-3, -1, 0, 4
Let 4*d**3 - 32*d**2 - 16*d + 128 = 0. Calculate d.
-2, 2, 8
Factor -k**3/4 - k**2/4 + 41*k/4 + 105/4.
-(k - 7)*(k + 3)*(k + 5)/4
Determine p so that p**3/9 + 14*p**2/9 + 49*p/9 = 0.
-7, 0
What is n in 2*n**2/3 + 4*n - 32/3 = 0?
-8, 2
Factor 5*g**5 - 50*g**4 - 345*g**3 - 470*g**2 + 260*g + 600.
5*(g - 15)*(g - 1)*(g + 2)**3
Solve 4*d**3 - 11480*d**2 = 0.
0, 2870
Factor y**2/3 - 781*y - 4690/3.
(y - 2345)*(y + 2)/3
Determine a, given that -4*a**5 + 16*a**4 + 12*a**3 - 40*a**2 - 32*a = 0.
-1, 0, 2, 4
Solve 2*g**4/11 + 5122*g**3/11 + 3271668*g**2/11 - 9850888*g/11 + 6574096/11 = 0 for g.
-1282, 1, 2
Determine q, given that -q**2/4 + 1405*q/2 - 1974025/4 = 0.
1405
Factor 5*p**4 - 255*p**3 - 15*p**2 + 755*p + 510.
5*(p - 51)*(p - 2)*(p + 1)**2
Suppose -2*k**4 + 26*k**3 - 110*k**2 + 150*k = 0. Calculate k.
0, 3, 5
Factor 16*c**2/7 - 4*c/7 - 6/7.
2*(2*c + 1)*(4*c - 3)/7
Determine a, given that -2*a**4 - 82*a**3 - 1260*a**2 - 8600*a - 22000 = 0.
-11, -10
Factor -7*l**5 - 58*l**4 - 16*l**3.
-l**3*(l + 8)*(7*l + 2)
Solve d**3/3 + 14*d**2/3 + 35*d/3 + 22/3 = 0 for d.
-11, -2, 