+ 7)
Suppose -d**4/8 + 27*d**3/8 - 83*d**2/4 - 63*d/2 + 49 = 0. Calculate d.
-2, 1, 14
Find m such that 2*m**2/7 - 272*m/7 + 9248/7 = 0.
68
Solve -5*s**4 + 30*s**3 + 135*s**2 = 0 for s.
-3, 0, 9
Factor 3*l**3/4 - 11793*l**2/4 + 2895918*l + 2898867.
3*(l - 1966)**2*(l + 1)/4
Factor 2*y**3/3 - 48*y**2 - 98*y - 148/3.
2*(y - 74)*(y + 1)**2/3
Factor u**5/6 + u**4/6 - 11*u**3/6 - 29*u**2/6 - 13*u/3 - 4/3.
(u - 4)*(u + 1)**3*(u + 2)/6
Factor 2*a**2/3 - 148*a - 446/3.
2*(a - 223)*(a + 1)/3
Solve -h**4/6 - h**3/3 + 2*h**2 - 7*h/3 + 5/6 = 0 for h.
-5, 1
Suppose 4*o**5 + 12*o**4 - 92*o**3 + 132*o**2 - 56*o = 0. Calculate o.
-7, 0, 1, 2
Let -4*t**3 - 140*t**2 - 476*t + 620 = 0. What is t?
-31, -5, 1
Factor -3*d**3 - 1680*d**2.
-3*d**2*(d + 560)
Factor 10*v**2 + 24*v + 8.
2*(v + 2)*(5*v + 2)
Factor -u**2/5 + 906*u/5 + 1816/5.
-(u - 908)*(u + 2)/5
Factor -m**5 + 3*m**4 - m**3 - 3*m**2 + 2*m.
-m*(m - 2)*(m - 1)**2*(m + 1)
Solve 2*i**5/13 + 50*i**4/13 + 86*i**3/13 - 146*i**2/13 - 176*i/13 + 184/13 = 0 for i.
-23, -2, 1
Suppose -3*j**4 + 54*j**3 - 75*j**2 - 324*j - 192 = 0. What is j?
-1, 4, 16
Factor k**3 - 11*k**2 + 32*k - 28.
(k - 7)*(k - 2)**2
Suppose 225*h**5 - 1185*h**4 + 265*h**3 + 185*h**2 - 50*h = 0. Calculate h.
-2/5, 0, 1/3, 5
Suppose -9*i**2 + 3*i + 6 = 0. Calculate i.
-2/3, 1
Factor -3*w**2 - 510*w - 21675.
-3*(w + 85)**2
Factor b**2/5 + 462*b + 266805.
(b + 1155)**2/5
Factor 3*q**5 + 18*q**4 + 27*q**3.
3*q**3*(q + 3)**2
Solve -4*l**3/21 - 6*l**2/7 + 16*l/21 + 10/7 = 0.
-5, -1, 3/2
What is f in -3*f**2/5 + 1137*f/5 + 9288/5 = 0?
-8, 387
Factor 2*x**3 + 14*x**2 + 28*x + 16.
2*(x + 1)*(x + 2)*(x + 4)
Find f such that 2*f**3 + 310*f**2 - 626*f + 314 = 0.
-157, 1
Factor -4*m**2 + 28*m - 24.
-4*(m - 6)*(m - 1)
Suppose -g**2 + 207*g = 0. What is g?
0, 207
Factor y**3/10 + 6*y**2/5 + 9*y/10 - 11/5.
(y - 1)*(y + 2)*(y + 11)/10
Factor -2*a**3/19 - 74*a**2/19 + 4*a.
-2*a*(a - 1)*(a + 38)/19
Suppose 8*w**2 - 12*w + 9/2 = 0. Calculate w.
3/4
Let 9*t**4/5 + 12*t**3/5 - 146*t**2/5 + 92*t/5 - 3 = 0. What is t?
-5, 1/3, 3
Factor -5*d**3 - 110*d**2 + 240*d.
-5*d*(d - 2)*(d + 24)
Let -24*x**3 - 1537*x**2 - 24640*x - 1024 = 0. Calculate x.
-32, -1/24
Factor 2*m**3/3 - 4*m**2/3 - 8*m/3 + 16/3.
2*(m - 2)**2*(m + 2)/3
What is m in 1058*m**5/5 + 3082*m**4/5 - 1332*m**3/5 - 3076*m**2/5 + 274*m/5 - 6/5 = 0?
-3, -1, 1/23, 1
Factor -2*x**3/13 + 744*x**2/13 - 4410*x/13 + 6588/13.
-2*(x - 366)*(x - 3)**2/13
Let 3*u**2/2 + 3453*u + 3974403/2 = 0. Calculate u.
-1151
Solve -49*z**2/2 - 195*z/2 + 2 = 0.
-4, 1/49
Find n such that 8*n**5/3 - 18*n**4 + 26*n**3/3 + 22*n**2 - 34*n/3 - 4 = 0.
-1, -1/4, 1, 6
Suppose -t**3 - 30*t**2 + 63*t - 32 = 0. Calculate t.
-32, 1
Determine t so that t**4/6 - 2*t**3/3 - t**2/3 + 2*t + 3/2 = 0.
-1, 3
Suppose s**5 + 14*s**4 + 37*s**3 - 120*s**2 - 432*s = 0. Calculate s.
-9, -4, 0, 3
What is i in -3*i**2 - 2724*i - 618348 = 0?
-454
Factor 5*v**2 + 230*v.
5*v*(v + 46)
What is o in 10*o**4 + 14465*o**3 + 6976950*o**2 + 1123286540*o + 559900840 = 0?
-482, -1/2
Factor 2*l**3 + 1144*l**2 - 4602*l + 3456.
2*(l - 3)*(l - 1)*(l + 576)
Let t**2/3 + 8*t/3 + 16/3 = 0. Calculate t.
-4
Suppose -2*f**5/3 - 2*f**4/3 + 16*f**3/3 + 8*f**2 = 0. What is f?
-2, 0, 3
Solve -3*r**4/5 - 2*r**3 + 2*r + 3/5 = 0.
-3, -1, -1/3, 1
Suppose 4*c**5 + 76*c**4 + 56*c**3 - 304*c**2 - 288*c = 0. Calculate c.
-18, -2, -1, 0, 2
Solve -p**2/5 - 29*p/5 = 0.
-29, 0
Find j, given that -14*j**5 - 20*j**4 + 6*j**3/7 + 40*j**2/7 - 8*j/7 = 0.
-1, 0, 2/7
Factor -a**2/4 + 182*a - 33124.
-(a - 364)**2/4
Factor h**4/6 + 2*h**3 + 7*h**2 + 10*h/3 - 25/2.
(h - 1)*(h + 3)*(h + 5)**2/6
Determine v so that -2*v**3/3 - 88*v**2/3 - 424*v/3 + 1216/3 = 0.
-38, -8, 2
Let 280*b**5 + 88*b**4 - 5714*b**3/5 - 1796*b**2/5 + 456*b/5 + 144/5 = 0. What is b?
-2, -3/10, 2/7, 2
Factor -4*n**2/5 + 168*n - 8820.
-4*(n - 105)**2/5
What is c in 10*c**4/11 - 12*c**3/11 - 30*c**2/11 + 56*c/11 - 24/11 = 0?
-2, 1, 6/5
Factor -8*a**3/5 + 34*a**2/5 + 32*a/5 - 2.
-2*(a - 5)*(a + 1)*(4*a - 1)/5
Let 2*l**4 + 13*l**3/2 - 33*l**2/2 - 117*l/2 - 27/2 = 0. What is l?
-3, -1/4, 3
Factor -5*f**2 + 440*f - 9680.
-5*(f - 44)**2
Factor 2*t**2/9 + 68*t/9 - 70/9.
2*(t - 1)*(t + 35)/9
Factor -2*r**2/7 - 58*r/7 - 8.
-2*(r + 1)*(r + 28)/7
Factor 4*y**4 + 892*y**3 + 50164*y**2 + 47508*y - 98568.
4*(y - 1)*(y + 2)*(y + 111)**2
Find g, given that -2*g**5 - 4*g**4 + 6*g**3 + 8*g**2 - 8*g = 0.
-2, 0, 1
Factor -2*v**3/3 + 4*v**2 + 32*v/3.
-2*v*(v - 8)*(v + 2)/3
Factor -6*j**2/13 - 58*j/13 + 20/13.
-2*(j + 10)*(3*j - 1)/13
Factor -202*v**3 - 8*v**2.
-2*v**2*(101*v + 4)
Suppose a**2 - 408*a + 812 = 0. Calculate a.
2, 406
Let 2*k**2/17 + 1804*k/17 + 106 = 0. Calculate k.
-901, -1
Let 5*a**3 + 95*a**2 - 5*a - 2975 = 0. Calculate a.
-17, -7, 5
Solve 15*j**5 + 110*j**4 + 170*j**3 - 60*j**2 - 185*j - 50 = 0.
-5, -2, -1, -1/3, 1
Factor 5*j**3 - 55*j**2 - 5*j + 55.
5*(j - 11)*(j - 1)*(j + 1)
Determine d so that d**2/3 - 2192*d/3 + 1201216/3 = 0.
1096
Suppose 21316*q**5 - 3504*q**4 - 21172*q**3 + 3504*q**2 - 144*q = 0. What is q?
-1, 0, 6/73, 1
Factor -f**4/7 - 2*f**3/7 + 3*f**2/7 + 8*f/7 + 4/7.
-(f - 2)*(f + 1)**2*(f + 2)/7
Find b, given that -3*b**2/5 - 684*b/5 - 38988/5 = 0.
-114
Suppose -5*d**2 + 1070*d + 1075 = 0. What is d?
-1, 215
Find w such that -3*w**2/2 - 9*w + 165/2 = 0.
-11, 5
Determine d so that 2*d**5/21 + 6*d**4/7 + 8*d**3/3 + 24*d**2/7 + 32*d/21 = 0.
-4, -2, -1, 0
Solve 2*d**3/3 - 226*d**2/3 - 470*d - 714 = 0 for d.
-3, 119
Let 5*q**5 - 20*q**4 - 60*q**3 + 160*q**2 + 320*q = 0. Calculate q.
-2, 0, 4
Suppose f**3/7 + 41*f**2/7 - 136*f/7 - 176/7 = 0. What is f?
-44, -1, 4
Factor -1066*s**4/7 - 4*s**3/7.
-2*s**3*(533*s + 2)/7
Factor 5329*c**2/3 + 10220*c + 14700.
(73*c + 210)**2/3
Factor h**4 - 46*h**3 + 88*h**2.
h**2*(h - 44)*(h - 2)
Factor w**3/8 + w**2/2 - 35*w/8 - 75/4.
(w - 6)*(w + 5)**2/8
Determine b, given that -3*b**2/7 - 9*b/7 - 6/7 = 0.
-2, -1
Factor -i**2/2 + 27*i - 53/2.
-(i - 53)*(i - 1)/2
Factor -2*l**3 - 1938*l**2.
-2*l**2*(l + 969)
What is o in -72*o**5/5 - 46776*o**4/5 + 109414*o**3/5 - 79516*o**2/5 + 18254*o/5 - 1304/5 = 0?
-652, 1/6, 1
Factor 5*d**5 + 30*d**4 + 60*d**3 + 50*d**2 + 15*d.
5*d*(d + 1)**3*(d + 3)
Factor -2*v**4/7 - 4*v**3/7 + 6*v**2/7.
-2*v**2*(v - 1)*(v + 3)/7
Factor 20*s**4 + 12*s**3 - 60*s**2 + 4*s + 24.
4*(s - 1)**2*(s + 2)*(5*s + 3)
Solve -2*x**5/13 - 24*x**4/13 - 106*x**3/13 - 212*x**2/13 - 192*x/13 - 64/13 = 0 for x.
-4, -2, -1
Suppose -2*t**4/3 + 14*t**3/3 - 8*t**2/3 - 8*t = 0. Calculate t.
-1, 0, 2, 6
Let -o**4/7 + 9*o**3 - 1443*o**2/7 + 14365*o/7 - 52728/7 = 0. What is o?
13, 24
Factor 12*c**4 - 141*c**3 - 372*c**2 - 84*c.
3*c*(c - 14)*(c + 2)*(4*c + 1)
Factor 3*b**2 - 432*b.
3*b*(b - 144)
Solve 4*x**3 - 16*x**2 - 20*x = 0.
-1, 0, 5
Suppose 2*u**5/3 - 50*u**4/3 + 92*u**3/3 + 4*u**2/3 - 94*u/3 + 46/3 = 0. Calculate u.
-1, 1, 23
Solve -7*q**5/2 - 265*q**4/6 - 150*q**3 - 160*q**2/3 + 80*q + 24 = 0.
-6, -1, -2/7, 2/3
Factor -2*j**2/3 + 26*j/3 + 60.
-2*(j - 18)*(j + 5)/3
Suppose 70*g**2 - 65*g - 5 = 0. What is g?
-1/14, 1
Determine d, given that d**4 - 16*d**3 - 18*d**2 + 16*d + 17 = 0.
-1, 1, 17
Find h, given that 3*h**4 - 303*h**3 - 2223*h**2 - 4833*h - 2916 = 0.
-3, -1, 108
Factor x**4 + 376*x**3 + 749*x**2 + 374*x.
x*(x + 1)**2*(x + 374)
Determine v, given that v**5/4 - 3*v**4 + 5*v**3 = 0.
0, 2, 10
Determine a so that -3*a**5/2 + 27*a**4/2 - 69*a**3/2 + 33*a**2/2 + 36*a - 30 = 0.
-1, 1, 2, 5
Factor 2*k**4/3 - 16*k**3 - 170*k**2/3 + 72*k.
2*k*(k - 27)*(k - 1)*(k + 4)/3
Factor 3362*o**5 - 6232*o**4 + 2396*o**3 + 456*o**2 + 18*o.
2*o*(o - 1)**2*(41*o + 3)**2
Factor 4*s**2/9 + 536*s/9 + 17956/9.
4*(s + 67)**2/9
Factor o**4/3 + 16*o**3/3 + 14*o**2 + 40*o/3 + 13/3.
(o + 1)**3*(o + 13)/3
Factor -2*g**3/7 + 16*g**2/7 - 22*g/7 - 40/7.
-2*(g - 5)*(g - 4)*(g + 1)/7
Suppose -2*a**4/7 + 4*a**3 - 94*a**2/7 + 20*a/7 + 144/7 = 0. Calculate a.
-1, 2, 4, 9
Solve -3*v**2 - 2496*v - 519168 = 0.
-416
Factor 2*q**4/3 - 6*q**3 + 10*q**2 + 50*q/3.
2*q*(q - 5)**2*(q + 1)/3
Factor 5*a**2 - 14660*a + 10745780.
5*(a - 1466)**2
Solve -4*n**2 + 576*n - 20736 = 0 for n.
72
Solve -5*d**5 - 60*d**4 - 245*d**3 - 450*d**2 - 380*d - 120 = 0.
-6, -2, -1
Let 2*h**4 - 20*h**3 - 114*h**2 + 20*h + 112 = 0. What is h?
-4, -1, 1, 14
Let -28*o**4