.
-2, -1/3, 3, 6
Let -3*b**5/4 - 5*b**4/4 + 31*b**3 - 57*b**2 - 4*b + 32 = 0. Calculate b.
-8, -2/3, 1, 2, 4
Factor -4*n**2 - 184*n - 1332.
-4*(n + 9)*(n + 37)
What is d in -d**2/3 + 85*d/3 - 28 = 0?
1, 84
Factor -14*l**2 + 60*l.
-2*l*(7*l - 30)
Factor -3*w**4/8 + 15*w**3/2 - 153*w**2/8.
-3*w**2*(w - 17)*(w - 3)/8
Solve -18396006*i**2/7 + 21012*i/7 - 6/7 = 0 for i.
1/1751
Solve -4*s**3 + 32*s**2 + 36*s = 0.
-1, 0, 9
Factor 3*f**2 - 312*f + 8112.
3*(f - 52)**2
Let 187*o**4 - 1711*o**3/5 + 123*o**2 + 163*o/5 - 2/5 = 0. Calculate o.
-2/11, 1/85, 1
Find q such that 5*q**2 + 77360*q + 299228480 = 0.
-7736
Determine p, given that -p**3/9 + 29*p**2/9 - 17*p/3 - 9 = 0.
-1, 3, 27
Factor -a**2 - 63*a + 130.
-(a - 2)*(a + 65)
Solve -3*u**5 - 126*u**4 - 1314*u**3 + 384*u**2 + 4221*u + 2646 = 0.
-21, -1, 2
Factor 2*i**3/11 + 28*i**2/11 + 122*i/11 + 168/11.
2*(i + 3)*(i + 4)*(i + 7)/11
Suppose 5*j**3/4 + 775*j**2/4 + 8460*j + 71280 = 0. Calculate j.
-72, -11
Suppose 10*q**5 - 986*q**4 + 584*q**3 + 392*q**2 = 0. Calculate q.
-2/5, 0, 1, 98
Let -12*p**3 - 10*p**2 + 8*p/3 + 8/3 = 0. What is p?
-2/3, 1/2
Factor -11*w**2/3 + 19*w/3 + 10.
-(w + 1)*(11*w - 30)/3
What is h in 2*h**3/15 - 4*h**2 + 122*h/5 - 308/15 = 0?
1, 7, 22
Let 3*a**3 - 558*a**2 + 25947*a = 0. Calculate a.
0, 93
Factor -14*l**2 - 352*l - 50.
-2*(l + 25)*(7*l + 1)
Let -64*q**5 - 16112*q**4 - 28048*q**3 - 11996*q**2 + 1004*q + 1000 = 0. What is q?
-250, -1, -1/2, 1/4
Solve h**4/2 + 6*h**3 - 15*h**2/2 - 13*h = 0 for h.
-13, -1, 0, 2
Factor -2*n**2 + 2908*n - 1057058.
-2*(n - 727)**2
Factor 6*k**2/5 + 76*k/5 - 26/5.
2*(k + 13)*(3*k - 1)/5
Solve -2*h**4 + 18*h**2 = 0.
-3, 0, 3
Suppose 3*g**3 - 24*g**2 + 57*g - 36 = 0. What is g?
1, 3, 4
Solve r**2/2 - 13*r/2 - 15 = 0.
-2, 15
Factor 4*l**3/5 - 628*l**2/5 + 30284*l/5 - 412988/5.
4*(l - 67)**2*(l - 23)/5
Let -w**3/8 + w/8 = 0. What is w?
-1, 0, 1
Suppose 3*g**3 + 84*g**2 + 81*g = 0. Calculate g.
-27, -1, 0
What is m in -4*m**2 - 124*m + 1248 = 0?
-39, 8
Factor -2*b**2/7 + 24*b + 170/7.
-2*(b - 85)*(b + 1)/7
Factor 3*x**2/8 + 399*x/8 + 2655/4.
3*(x + 15)*(x + 118)/8
Find c such that -2*c**5/5 - 2*c**4 - 4*c**3/5 + 16*c**2/5 = 0.
-4, -2, 0, 1
Determine r so that -2*r**5 - 174*r**4 + 570*r**3 + 2734*r**2 + 3072*r + 1080 = 0.
-90, -1, 6
Factor 3*t**4/2 + 9*t**3 + 15*t**2/2.
3*t**2*(t + 1)*(t + 5)/2
Factor -21*p**3 - 855*p**2 + 5076*p - 1380.
-3*(p - 5)*(p + 46)*(7*p - 2)
Factor -5*o**3/2 - 30*o**2 - 90*o - 80.
-5*(o + 2)**2*(o + 8)/2
Factor -3*p**2 - 1602*p - 213867.
-3*(p + 267)**2
Solve 2*y**5/3 + 26*y**4/3 + 104*y**3/3 + 40*y**2 = 0.
-6, -5, -2, 0
Factor 32*y**5 + 112*y**4 + 146*y**3 + 86*y**2 + 22*y + 2.
2*(y + 1)**3*(4*y + 1)**2
Factor -3*x**4/5 + 21*x**3/5 + 54*x**2/5.
-3*x**2*(x - 9)*(x + 2)/5
Factor l**2/2 + 2361*l/2 - 1181.
(l - 1)*(l + 2362)/2
Let -b**3 + 141*b**2 + 873*b + 1323 = 0. What is b?
-3, 147
Find m, given that 5*m**5 + 60*m**4 + 50*m**3 - 60*m**2 - 55*m = 0.
-11, -1, 0, 1
Suppose 24*q**3 - 46*q**2 - 54*q + 16 = 0. What is q?
-1, 1/4, 8/3
Factor -r**4/3 - 14*r**3 + 17*r**2 + 332*r/3 - 172.
-(r - 2)**2*(r + 3)*(r + 43)/3
Factor -2*a**3/15 - 122*a**2/15 + 1472*a/15 + 131192/15.
-2*(a - 31)*(a + 46)**2/15
Let 3*o**2/7 + 24*o/7 + 36/7 = 0. What is o?
-6, -2
Factor 2*y**3 - 62*y**2 + 526*y - 1330.
2*(y - 19)*(y - 7)*(y - 5)
Determine p, given that 4*p**5/3 - 20*p**3/3 + 16*p/3 = 0.
-2, -1, 0, 1, 2
Find s, given that s**2/3 - 7*s/3 = 0.
0, 7
Solve 5*w**3 - 10*w**2 - 105*w - 90 = 0.
-3, -1, 6
Let 2*d**2 - 64*d - 640 = 0. Calculate d.
-8, 40
Factor -2*t**3/3 + 4*t**2 + 6*t - 28/3.
-2*(t - 7)*(t - 1)*(t + 2)/3
Find n, given that -2*n**5/3 - 22*n**4/3 - 68*n**3/3 + 16*n**2/3 + 320*n/3 + 256/3 = 0.
-4, -1, 2
Factor -u**2/7 - 90*u/7 - 2025/7.
-(u + 45)**2/7
Let -2*h**4 + 104*h**3/5 - 30*h**2 - 656*h/5 + 56 = 0. What is h?
-2, 2/5, 5, 7
Factor -3*d**3 + 198*d**2 - 2835*d - 14700.
-3*(d - 35)**2*(d + 4)
Let -n**2 - 203*n - 202 = 0. What is n?
-202, -1
Factor 188*j**4 - 572*j**3 + 588*j**2 - 212*j + 8.
4*(j - 1)**3*(47*j - 2)
Suppose -20*z**5 + 28*z**4 + 12*z**3 - 28*z**2 + 8*z = 0. What is z?
-1, 0, 2/5, 1
Factor p**5/7 + 3*p**4/7 + p**3/7 - 3*p**2/7 - 2*p/7.
p*(p - 1)*(p + 1)**2*(p + 2)/7
Factor 2*q**3/3 + 428*q**2/3 + 1688*q/3 + 560.
2*(q + 2)**2*(q + 210)/3
Factor -2*n**2 + 60*n + 128.
-2*(n - 32)*(n + 2)
What is k in -12*k**4/7 + 100*k**3/7 - 164*k**2/7 + 76*k/7 = 0?
0, 1, 19/3
Let 4*g**4/5 - 56*g**3/5 - 44*g**2/5 + 336*g + 720 = 0. Calculate g.
-3, 10
Suppose 18*h**3/13 + 562*h**2/13 - 452*h/13 - 128/13 = 0. Calculate h.
-32, -2/9, 1
Let q**2/3 + 229*q/3 - 230/3 = 0. What is q?
-230, 1
Determine q, given that -3*q**2 - 333*q + 1380 = 0.
-115, 4
Determine o, given that -5*o**5 + 90*o**3 + 160*o**2 + 75*o = 0.
-3, -1, 0, 5
Find g, given that g**3/4 + g**2/2 - g/4 - 1/2 = 0.
-2, -1, 1
Factor -16*r**3 - 196*r**2 - 560*r - 128.
-4*(r + 4)*(r + 8)*(4*r + 1)
Find m such that -3*m**3 - 75*m**2 - 336*m + 1764 = 0.
-14, 3
Solve 2*d**3/3 + 2*d**2 = 0 for d.
-3, 0
Factor -653*h**3 - h**2 + 653*h + 1.
-(h - 1)*(h + 1)*(653*h + 1)
Find p, given that 3*p**3/4 + 45*p**2/2 + 459*p/4 + 162 = 0.
-24, -3
Find s, given that -s**2 - 24*s - 119 = 0.
-17, -7
Find h such that 5*h**5 + 35*h**4 - 5*h**3 - 35*h**2 = 0.
-7, -1, 0, 1
Suppose -a**5/12 - 3*a**4/4 - 11*a**3/12 + 7*a**2/4 = 0. What is a?
-7, -3, 0, 1
Determine s, given that 4*s**5 + 436*s**4 - 1404*s**3 - 6788*s**2 - 7640*s - 2688 = 0.
-112, -1, 6
Factor -2*m**2/15 - 98*m/5 + 296/15.
-2*(m - 1)*(m + 148)/15
Determine f so that 2*f**2/3 + 208*f + 16224 = 0.
-156
Factor 2*h**4/7 - 4*h**3/7 - 16*h**2/7 + 36*h/7 - 18/7.
2*(h - 3)*(h - 1)**2*(h + 3)/7
Factor 64*d**3/3 + 288*d**2 + 140*d + 52/3.
4*(d + 13)*(4*d + 1)**2/3
Determine u, given that 50*u**4 - 190*u**3 + 228*u**2 - 104*u + 16 = 0.
2/5, 1, 2
Find t, given that t**5/4 - t**4/4 - 23*t**3/4 - 3*t**2/4 + 45*t/2 = 0.
-3, 0, 2, 5
Factor 19*s**3 + 98*s**2 + 129*s + 18.
(s + 2)*(s + 3)*(19*s + 3)
Factor n**3/2 + 14*n**2 - n/2 - 14.
(n - 1)*(n + 1)*(n + 28)/2
Factor -4*u**3 - 876*u**2.
-4*u**2*(u + 219)
Factor 3*m**4/7 - 201*m**3/7 - 204*m**2/7.
3*m**2*(m - 68)*(m + 1)/7
Solve 2*r**5/17 + 8*r**4/17 - 16*r**3/17 - 64*r**2/17 + 32*r/17 + 128/17 = 0.
-4, -2, 2
Let 2*a**4/7 - 108*a**3/7 - 222*a**2/7 - 16*a = 0. What is a?
-1, 0, 56
Suppose h**2/10 - 1007*h/10 - 504/5 = 0. Calculate h.
-1, 1008
Let 3*w**4/7 + 165*w**3 - 2322*w**2/7 = 0. What is w?
-387, 0, 2
Find o, given that 3*o**3 - 6*o**2 - 9*o = 0.
-1, 0, 3
Factor -y**5 - 3*y**4.
-y**4*(y + 3)
Suppose -28*k**4/5 + 148*k**3/5 + 324*k**2/5 + 92*k/5 - 56/5 = 0. What is k?
-1, 2/7, 7
Factor 4*x**5/7 - 1224*x**4/7 + 94848*x**3/7 - 184832*x**2/7.
4*x**2*(x - 152)**2*(x - 2)/7
What is b in -2*b**2 - 18*b - 40 = 0?
-5, -4
Factor 5*g**5 + 28*g**4 - 47*g**3 + 14*g**2.
g**2*(g - 1)*(g + 7)*(5*g - 2)
Suppose 25*f**3 - 105*f**2 + 95*f - 15 = 0. Calculate f.
1/5, 1, 3
Factor 2*z**3/13 + 2*z**2 + 4*z - 80/13.
2*(z - 1)*(z + 4)*(z + 10)/13
What is p in 2*p**3/5 + 876*p**2/5 - 878*p/5 = 0?
-439, 0, 1
Find m such that 5*m**4/4 + 7285*m**3/4 + 1767825*m**2/2 + 142603335*m - 143489070 = 0.
-486, 1
Factor 2*x**2/5 + 40*x - 832/5.
2*(x - 4)*(x + 104)/5
Factor -2*l**2/7 - 170*l/7 + 348/7.
-2*(l - 2)*(l + 87)/7
Suppose -2*s**4/9 + 160*s**3/9 + 326*s**2/9 + 164*s/9 = 0. What is s?
-1, 0, 82
Suppose 50*a**3 + 115*a**2 + 30*a = 0. What is a?
-2, -3/10, 0
Solve 4*b**3/5 - 504*b**2/5 + 15876*b/5 = 0 for b.
0, 63
Determine z, given that -z**2/5 - 12*z/5 + 13/5 = 0.
-13, 1
What is r in -r**2/7 + 3092*r/7 - 2390116/7 = 0?
1546
Factor -2*h**3/5 - 2*h**2 - 6*h/5 + 18/5.
-2*(h - 1)*(h + 3)**2/5
Suppose -5*k**4 - 25*k**3 - 30*k**2 = 0. What is k?
-3, -2, 0
Determine s, given that -4*s**5 + 77*s**4 + 61*s**3 - 20*s**2 = 0.
-1, 0, 1/4, 20
Factor s**3/3 + 2215*s**2/3 + 1225448*s/3 - 1227664/3.
(s - 1)*(s + 1108)**2/3
Solve -2*w**5/3 - 88*w**4/9 - 6*w**3 + 28*w**2/9 = 0 for w.
-14, -1, 0, 1/3
Determine k so that -45*k**4 + 735*k**3 + 1315*k**2 + 625*k + 90 = 0.
-1, -1/3, 18
Suppose -m**2 - 58*m - 400 = 0. Calculate m.
-50, -8
Let 50*r**2/11 + 26120*r/11 + 3411272/11 = 0. What is r?
-1306/5
Factor -4*y**3 - 1788*y**2 + 3588*y - 1796.
-4*(y - 1)**2*(y + 449)
Let 3*k**3 - 240*k**2 + 3999*k + 33282 = 0. What is k?
-6, 43
What is y in 18*y**2/19 + 4*y + 16/