3 + 560.
5*(d + 1)*(d + 14)*(d + 24)/3
Factor -3*x**4 - 93*x**3 - 504*x**2.
-3*x**2*(x + 7)*(x + 24)
Let 7*t**4/3 + 58*t**3/3 + 100*t**2/3 + 8*t = 0. What is t?
-6, -2, -2/7, 0
Determine u so that 2*u**2/11 - 252*u/11 + 1888/11 = 0.
8, 118
What is f in f**2 + 1978*f + 978121 = 0?
-989
Find g such that -4*g**2 - 120*g - 224 = 0.
-28, -2
Factor -2*u**3/3 + 4*u**2/3 + 22*u/3 - 8.
-2*(u - 4)*(u - 1)*(u + 3)/3
Solve -j**3/6 + 2851*j**2/6 - 1015312*j/3 - 1016738/3 = 0 for j.
-1, 1426
Factor -p**4/5 + 117*p**3 - 113484*p**2/5 + 7183792*p/5 + 22588608/5.
-(p - 196)**3*(p + 3)/5
Factor -k**4 + 25*k**2.
-k**2*(k - 5)*(k + 5)
Solve l**2/3 + 1123*l/3 - 1124/3 = 0 for l.
-1124, 1
Factor p**2/3 + 20*p + 59/3.
(p + 1)*(p + 59)/3
Factor 4*i**4 - 68*i**3 - 96*i**2 + 3008*i - 7168.
4*(i - 16)*(i - 4)**2*(i + 7)
Solve d**4 - 5*d**3 - 4*d**2 + 20*d = 0.
-2, 0, 2, 5
Let -r**3/4 = 0. What is r?
0
Suppose -2*g**5/13 + 2*g**4/13 + 10*g**3/13 - 10*g**2/13 - 8*g/13 + 8/13 = 0. Calculate g.
-2, -1, 1, 2
Factor -3*q**4 + 42*q**3 - 75*q**2 + 36*q.
-3*q*(q - 12)*(q - 1)**2
Find h, given that 4*h**5 + 68*h**4 + 188*h**3 - 260*h**2 = 0.
-13, -5, 0, 1
Suppose -14*l**3 + 52*l**2/3 + 2*l/3 - 4 = 0. What is l?
-3/7, 2/3, 1
Factor -4*g**2 - 5388*g.
-4*g*(g + 1347)
Factor 507*z**3 - 858*z**2 - 300*z - 24.
3*(z - 2)*(13*z + 2)**2
Let 59*i**3/3 - 352*i**2/3 + 460*i/3 + 16/3 = 0. What is i?
-2/59, 2, 4
What is z in 5*z**2 + 4750*z + 1128125 = 0?
-475
Factor -t**3 + 212*t**2 - 11021*t - 22898.
-(t - 107)**2*(t + 2)
Solve -m**4 + 141*m**3 - 683*m**2 + 399*m + 1224 = 0.
-1, 3, 136
Solve -4*o**5/7 - 20*o**4/7 + 32*o**3/7 + 176*o**2/7 - 128*o/7 - 256/7 = 0 for o.
-4, -1, 2
Factor -2*g**3/3 + 8*g**2/3.
-2*g**2*(g - 4)/3
Suppose t**4/4 + t**3/2 - 7*t**2/4 - 5*t - 3 = 0. What is t?
-2, -1, 3
Let 5*x**4 + 30*x**3 - 40*x**2 - 480*x - 640 = 0. Calculate x.
-4, -2, 4
What is q in -5*q**2 + 55*q - 50 = 0?
1, 10
Factor -2*f**3/5 - 18*f**2/5 + 32*f/5 + 24.
-2*(f - 3)*(f + 2)*(f + 10)/5
Determine u, given that 2*u**3/13 + 170*u**2/13 = 0.
-85, 0
Factor -z**2 - 31*z - 30.
-(z + 1)*(z + 30)
Solve -2*q**4/9 - 29*q**3/9 + 20*q**2/9 + 77*q/9 + 10/3 = 0.
-15, -1, -1/2, 2
Factor -2*b**3 - 626*b**2 + 1258*b - 630.
-2*(b - 1)**2*(b + 315)
Suppose -2*d**3/19 - 238*d**2/19 - 6960*d/19 + 7200/19 = 0. What is d?
-60, 1
Factor -3*h**3 + 9*h**2 + 72*h - 240.
-3*(h - 4)**2*(h + 5)
Factor -440*j**3 - 173*j**2 - 3*j.
-j*(8*j + 3)*(55*j + 1)
Factor -9*o**5 - 16*o**4 + 4*o**3.
-o**3*(o + 2)*(9*o - 2)
Solve 2*d**4/11 + 18*d**3/11 - 2*d**2/11 - 18*d/11 = 0 for d.
-9, -1, 0, 1
Let -4*d**4 - 76*d**3 + 12*d**2 + 220*d - 152 = 0. What is d?
-19, -2, 1
Factor -2*o**4 + 44*o**3 - 240*o**2 - 44*o + 242.
-2*(o - 11)**2*(o - 1)*(o + 1)
Suppose -138*v**2 - 280*v - 8 = 0. Calculate v.
-2, -2/69
What is c in -162*c**5/11 - 9*c**4/11 + 190*c**3/11 + 5*c**2/11 - 28*c/11 + 4/11 = 0?
-1, -1/2, 2/9, 1
Suppose 3*v**3/2 + 51*v**2/2 + 105*v = 0. What is v?
-10, -7, 0
Solve 15*y**4 - 2695*y**3 + 120590*y**2 + 42300*y - 81000 = 0.
-1, 2/3, 90
Let 6*j**2 + 37*j + 31 = 0. Calculate j.
-31/6, -1
Let 2*c**5/11 - 1186*c**4/11 = 0. Calculate c.
0, 593
Factor 15*f**3 - 160*f**2 + 215*f + 90.
5*(f - 9)*(f - 2)*(3*f + 1)
Let -q**2 + 34*q + 35 = 0. Calculate q.
-1, 35
What is q in -3*q**5 - 144*q**4 + 450*q**3 - 456*q**2 + 153*q = 0?
-51, 0, 1
Let -h**5/3 + 11*h**3/3 + 6*h**2 + 8*h/3 = 0. Calculate h.
-2, -1, 0, 4
What is r in -2*r**2 - 266*r + 816 = 0?
-136, 3
Determine i so that -i**4 + 13*i**3 + 46*i**2 + 32*i = 0.
-2, -1, 0, 16
Let -4*q**2 + 2040*q - 260100 = 0. What is q?
255
Factor -3*q**3/5 - 129*q**2/5 - 1449*q/5 - 1323/5.
-3*(q + 1)*(q + 21)**2/5
What is m in 4*m**5 - 324*m**4/5 - 12536*m**3/5 - 19880*m**2 - 233436*m/5 + 50764/5 = 0?
-7, 1/5, 37
Determine t so that 2*t**2/23 + 158*t/23 + 1608/23 = 0.
-67, -12
Factor 5*y**2 + 1730*y - 1735.
5*(y - 1)*(y + 347)
Find c, given that c**2/4 - 17*c/2 + 253/4 = 0.
11, 23
Factor -4*z**2/5 - 196*z/5 + 848/5.
-4*(z - 4)*(z + 53)/5
Factor z**2/3 + 2*z/3 - 8/3.
(z - 2)*(z + 4)/3
Factor 36*y**3 - 444*y**2 + 417*y - 102.
3*(2*y - 1)**2*(3*y - 34)
Factor x**3 + x**2 - 33*x + 63.
(x - 3)**2*(x + 7)
Factor -y**5/4 + y**4/4.
-y**4*(y - 1)/4
Factor -2*q**4/5 - 60*q**3 - 10314*q**2/5 + 14040*q - 109512/5.
-2*(q - 3)**2*(q + 78)**2/5
Factor 3*k**3 + 98*k**2 - 33*k.
k*(k + 33)*(3*k - 1)
Solve -4*n**4/3 - 32*n**3/3 + 76*n**2/3 + 488*n/3 - 320 = 0 for n.
-8, -5, 2, 3
Determine b, given that -4*b**3 + 7544*b**2 - 30128*b + 30112 = 0.
2, 1882
Factor -3*a**3/4 + 507*a**2/4 + 516*a + 519.
-3*(a - 173)*(a + 2)**2/4
Find w such that 6*w**5 - 406*w**4 + 3356*w**3 + 118260*w**2 + 533246*w + 164738 = 0.
-7, -1/3, 41
Factor p**5 + 5*p**4 + 3*p**3 - 13*p**2 - 8*p + 12.
(p - 1)**2*(p + 2)**2*(p + 3)
Factor -f**3 - 173*f**2 + 526*f - 352.
-(f - 2)*(f - 1)*(f + 176)
Let 2*x**2/3 - 430*x/3 + 428/3 = 0. What is x?
1, 214
Suppose -5*g**2 + 1710*g - 146205 = 0. What is g?
171
Let 2*o**2 - 6*o + 4 = 0. Calculate o.
1, 2
Factor -2*h**4 + 14*h**3 - 26*h**2 - 6*h + 36.
-2*(h - 3)**2*(h - 2)*(h + 1)
Factor 7*d**3/3 + 9*d**2/2 - 22*d/3 + 1/2.
(d - 1)*(d + 3)*(14*d - 1)/6
Determine y, given that -4*y**5 - 4*y**4 + 16*y**3 + 16*y**2 = 0.
-2, -1, 0, 2
Factor 4*x**3 - 20*x**2 - 56*x.
4*x*(x - 7)*(x + 2)
Find n, given that 2*n**3 + 144*n**2 - 782*n - 924 = 0.
-77, -1, 6
What is b in -2*b**2 - 1282*b + 1284 = 0?
-642, 1
Suppose -2*m**2 - 14*m + 120 = 0. Calculate m.
-12, 5
Determine u, given that -30*u**5 + 448*u**4 + 534*u**3 - 320*u**2 - 504*u - 128 = 0.
-1, -2/3, -2/5, 1, 16
Factor -2*f**3/19 + 212*f**2/19 - 1218*f/19 + 1800/19.
-2*(f - 100)*(f - 3)**2/19
Find r, given that 5*r**3 - 95*r**2 - 110*r + 200 = 0.
-2, 1, 20
Factor -3*v**2 + 2346*v + 2349.
-3*(v - 783)*(v + 1)
What is o in -18*o**5 + 375*o**4/7 - 369*o**3/7 + 117*o**2/7 + 3*o/7 = 0?
-1/42, 0, 1
Find x, given that -x**4/2 + 19*x**3 + 39*x**2/2 = 0.
-1, 0, 39
Suppose 10*m**5/13 - 12*m**4/13 - 68*m**3/13 + 144*m**2/13 - 86*m/13 + 12/13 = 0. What is m?
-3, 1/5, 1, 2
What is b in -2*b**3/5 - 558*b**2 - 259470*b - 40217850 = 0?
-465
Find t, given that -2*t**5 + 70*t**4 - 314*t**3 + 426*t**2 - 180*t = 0.
0, 1, 3, 30
Let -2*h**2 + 188*h - 4418 = 0. Calculate h.
47
Let -4*r**5/7 - 464*r**4/7 - 16776*r**3/7 - 140384*r**2/7 + 1687724*r/7 - 3308208/7 = 0. What is r?
-41, 3, 4
Find x, given that -2*x**5 - 232*x**4 - 6464*x**3 + 17012*x**2 + 92866*x + 69620 = 0.
-59, -2, -1, 5
Factor l**2/2 + 25*l - 52.
(l - 2)*(l + 52)/2
Factor 3*t**2/7 + 60*t/7 + 108/7.
3*(t + 2)*(t + 18)/7
Factor 2*w**2/9 - 32*w/9 - 70/3.
2*(w - 21)*(w + 5)/9
Find y such that -y**5 - 8*y**4 - 5*y**3 + 38*y**2 - 24*y = 0.
-6, -4, 0, 1
Suppose -7*l**2/6 + 38*l = 0. Calculate l.
0, 228/7
Find v such that -v**4/3 - 2*v**3 - 3*v**2 - 4*v/3 = 0.
-4, -1, 0
Suppose -2*k**4 - 10*k**3 - 16*k**2 - 8*k = 0. Calculate k.
-2, -1, 0
Factor 3*f**2 + 9234*f + 9231.
3*(f + 1)*(f + 3077)
Factor -93025*b**3/9 - 278465*b**2/9 + 1829*b/9 - 1/3.
-(b + 3)*(305*b - 1)**2/9
What is a in a**5/3 - 2*a**4/3 - 44*a**3/3 + 142*a**2/3 + 43*a/3 - 140/3 = 0?
-7, -1, 1, 4, 5
Find o such that -2*o**2 - 1254*o = 0.
-627, 0
Let 6*i**5/11 - 190*i**4/11 + 466*i**3/11 - 42*i**2/11 - 472*i/11 + 232/11 = 0. What is i?
-1, 2/3, 1, 2, 29
Let -4*q**3 - 16*q**2 + 320*q - 768 = 0. What is q?
-12, 4
Determine t so that 2*t**5/11 - 218*t**4/11 + 422*t**3/11 + 650*t**2/11 - 848*t/11 - 856/11 = 0.
-1, 2, 107
Factor 27*u**4/4 + 519*u**3/2 + 114*u**2.
3*u**2*(u + 38)*(9*u + 4)/4
Factor h**3 - 129*h**2 - 261*h - 131.
(h - 131)*(h + 1)**2
Solve -3*w**5 - 24*w**4 - 66*w**3 - 72*w**2 - 27*w = 0.
-3, -1, 0
Suppose -g**3/2 + 29*g**2/6 - 12*g + 6 = 0. What is g?
2/3, 3, 6
Factor 25*y**2 - 85*y - 38.
(5*y - 19)*(5*y + 2)
Factor 3*l**2 + 3915*l.
3*l*(l + 1305)
Factor -3*t**3/8 + 15*t**2/8 - 3*t/4 - 3.
-3*(t - 4)*(t - 2)*(t + 1)/8
What is c in 3*c**2 - 30*c + 27 = 0?
1, 9
Solve 3*h**5 - 36*h**4/5 + 12*h**3/5 = 0.
0, 2/5, 2
What is s in -2*s**2/9 + 2026*s/9 = 0?
0, 1013
Factor j**5/5 + 3*j**4/5 - 6*j**3/5 - 26*j**2/5 - 27*j/5 - 9/5.
(j - 3)*(j + 1)**3*(j + 3)/5
Factor -q**2/5 - 34*q/5 - 289/5.
-(q + 17)**2/5
Let -5*g**2 - 1615*g + 3250 = 0. Calculate g.
-325, 2
Let 20*l**3 + 455*l**2 + 325*l - 110 = 0. What is l?
-22, -1, 1/4
Factor 324*w**2 + 2304*w + 4096.
4*(9*w + 32)**2
Factor 2*u**