v so that -v**2/5 + 38*v/5 + 39/5 = 0.
-1, 39
Factor 2*i**2 - 190*i + 1068.
2*(i - 89)*(i - 6)
Factor 3*g**3/2 + 117*g**2/2 + 429*g/2 + 315/2.
3*(g + 1)*(g + 3)*(g + 35)/2
Suppose -75*k**2 + 6*k = 0. What is k?
0, 2/25
Factor 2*d**5/5 + 54*d**4/5 + 556*d**3/5 + 532*d**2 + 5586*d/5 + 686.
2*(d + 1)*(d + 5)*(d + 7)**3/5
Find q, given that q**4/12 - 5*q**3/12 - 17*q**2/12 + 7*q/4 = 0.
-3, 0, 1, 7
Find p, given that -p**2/2 - 127*p - 253/2 = 0.
-253, -1
Find h such that 250*h**5 - 275*h**4/3 - 115*h**3/3 + 32*h**2/3 + 4*h/3 = 0.
-1/3, -1/10, 0, 2/5
Factor 246*g**2 - 243*g - 3.
3*(g - 1)*(82*g + 1)
Find o such that -147*o**3 + 21*o**2 + 120*o - 48 = 0.
-1, 4/7
Determine y so that -2*y**2 - 18*y + 44 = 0.
-11, 2
Factor -i**5/4 + 25*i**4/4 + 21*i**3.
-i**3*(i - 28)*(i + 3)/4
Solve -5*z**4 - 200*z**3 + 210*z**2 + 200*z - 205 = 0 for z.
-41, -1, 1
Determine u so that 2*u**5/9 - 772*u**4/9 + 72938*u**3/9 + 100360*u**2/3 + 33800*u = 0.
-2, 0, 195
Factor -2*i**3/13 + 128*i**2/13 + 10*i.
-2*i*(i - 65)*(i + 1)/13
Suppose 5*x**5 - 35*x**4 + 70*x**3 - 10*x**2 - 75*x + 45 = 0. What is x?
-1, 1, 3
Suppose -d**4/3 + 53*d**3/3 - 140*d**2/3 - 500*d/3 = 0. Calculate d.
-2, 0, 5, 50
Factor 2*c**4/3 + 2*c**3/3 - 4*c**2/3.
2*c**2*(c - 1)*(c + 2)/3
Let 2*f**3/7 + 122*f**2/7 + 66*f + 342/7 = 0. What is f?
-57, -3, -1
Factor -3*q**2 - 156*q - 153.
-3*(q + 1)*(q + 51)
Solve -5*f**3 + 5*f**2 + 5*f - 5 = 0 for f.
-1, 1
Factor 3*f**4 - 18*f**3 + 24*f**2.
3*f**2*(f - 4)*(f - 2)
Let -a**3/5 - 18*a**2/5 - 12*a + 40 = 0. What is a?
-10, 2
Suppose -5*x**2 + 130*x + 280 = 0. What is x?
-2, 28
Let 2*f**4 + 6*f**3 + 6*f**2 + 2*f = 0. Calculate f.
-1, 0
Factor 3*l**2/2 - 525*l/2.
3*l*(l - 175)/2
Solve -2*s**3/13 + 30*s**2/13 + 36*s/13 - 64/13 = 0.
-2, 1, 16
Let w**4/7 - 5*w**3/7 - 3*w**2 + 53*w/7 - 4 = 0. What is w?
-4, 1, 7
Suppose -h**2/2 + 69*h/2 - 595 = 0. Calculate h.
34, 35
Factor -2*q**4 - 4*q**3 + 24*q**2 + 80*q + 64.
-2*(q - 4)*(q + 2)**3
Factor -2*r**3/11 - 10*r**2/11 + 8*r/11 + 40/11.
-2*(r - 2)*(r + 2)*(r + 5)/11
Let 5*i**2 - 805*i - 1630 = 0. What is i?
-2, 163
Factor -l**2 - 214*l/3 - 11449/9.
-(3*l + 107)**2/9
Factor -3*t**4 - 102*t**3 + 225*t**2 + 324*t.
-3*t*(t - 3)*(t + 1)*(t + 36)
Solve -4*z**3 - 1040*z**2 + 2092*z - 1048 = 0 for z.
-262, 1
Find r, given that -8*r**2/7 + 24214*r/7 + 6054/7 = 0.
-1/4, 3027
Factor 4*l**2 - 1900*l - 1904.
4*(l - 476)*(l + 1)
Find y such that -2*y**5/3 - 44*y**4/3 - 74*y**3/3 + 40*y**2 = 0.
-20, -3, 0, 1
Determine x so that -4*x**2/3 + 56*x/3 - 196/3 = 0.
7
Solve w**5 + 57*w**4/4 + 71*w**3/2 - 102*w**2 + 71*w/2 + 63/4 = 0 for w.
-9, -7, -1/4, 1
Factor 2*g**2/17 + 222*g/17.
2*g*(g + 111)/17
Let -15*p**4 + 4400*p**3 - 5845*p**2 + 1460*p = 0. Calculate p.
0, 1/3, 1, 292
Factor -2*d**3 - 20*d**2 - 18*d.
-2*d*(d + 1)*(d + 9)
Let -s**3/3 - 11*s**2/3 - 19*s/3 - 3 = 0. What is s?
-9, -1
Let -r**2/4 + 31*r/2 - 30 = 0. What is r?
2, 60
Factor -5*m**2 - 355*m - 350.
-5*(m + 1)*(m + 70)
Determine l, given that l**2/8 - 53*l/2 + 105/2 = 0.
2, 210
Factor -3*t**5 - 12*t**4 + 150*t**3 + 108*t**2 - 2187*t + 3240.
-3*(t - 3)**3*(t + 5)*(t + 8)
Find w, given that 2*w**5 - 6*w**4 - 14*w**3 + 22*w**2 + 12*w - 16 = 0.
-2, -1, 1, 4
Solve -5*v**5/2 + 25*v**4 - 80*v**3 + 80*v**2 = 0.
0, 2, 4
Factor d**5/2 - 69*d**4/2 + 132*d**3 - 130*d**2.
d**2*(d - 65)*(d - 2)**2/2
Factor -5*g**2 - 445*g - 440.
-5*(g + 1)*(g + 88)
Factor -2*w**2/21 + 460*w/21 - 454/7.
-2*(w - 227)*(w - 3)/21
What is n in -2*n**3/9 - 14*n**2/9 + 308*n/9 + 320/9 = 0?
-16, -1, 10
Solve -b**4/7 + 6*b**2/7 - 8*b/7 + 3/7 = 0.
-3, 1
Determine j, given that 484*j**2 - 1276*j + 841 = 0.
29/22
Determine x, given that 5*x**3 - 50*x**2 - 5*x + 50 = 0.
-1, 1, 10
Determine g, given that g**3 - 5*g**2 + 3*g + 9 = 0.
-1, 3
Find d such that d**3/5 - d**2/5 - d - 3/5 = 0.
-1, 3
Solve -3*f**2 - 672*f - 37632 = 0 for f.
-112
Factor 3*k**4/4 + 3*k**3/4.
3*k**3*(k + 1)/4
Let o**2 - 48*o + 576 = 0. Calculate o.
24
Find k, given that -4*k**3 + 96*k**2 + 16*k - 384 = 0.
-2, 2, 24
Find o, given that 2*o**3/5 - 5524*o**2/5 + 763968*o - 1523520 = 0.
2, 1380
What is f in f**4 + 18*f**3 - 48*f**2 - 1586*f - 1521 = 0?
-13, -1, 9
Factor 4*j**4 + 584*j**3 + 21892*j**2 + 42048*j + 20736.
4*(j + 1)**2*(j + 72)**2
Factor 2*y**5 + 4*y**4 - 6*y**3 - 8*y**2 + 8*y.
2*y*(y - 1)**2*(y + 2)**2
Determine n, given that -8748*n**4 - 10692*n**3 - 2619*n**2 + 396*n - 12 = 0.
-2/3, 1/18
Suppose 10*s**5/7 + 4*s**4/7 - 10*s**3 + 32*s**2/7 + 24*s/7 = 0. Calculate s.
-3, -2/5, 0, 1, 2
Solve -24*f**4/5 + 16*f**3/5 + 14*f**2/5 = 0 for f.
-1/2, 0, 7/6
Factor -w**3/3 + 143*w**2/9 + 65*w/3 + 49/9.
-(w - 49)*(w + 1)*(3*w + 1)/9
Solve -3*c**3/8 - 15*c**2/4 - 57*c/8 + 45/4 = 0.
-6, -5, 1
Determine g, given that 2*g**2 - 10*g - 100 = 0.
-5, 10
Let -3*m**2 - 120*m - 1200 = 0. What is m?
-20
Determine b so that 2*b**3/7 - 24*b**2/7 + 10*b/7 + 132/7 = 0.
-2, 3, 11
Factor -3*u**2 - 5*u - 2.
-(u + 1)*(3*u + 2)
Factor 3*x**3/4 + 229*x**2/2 + 17171*x/4 - 5929.
(x + 77)**2*(3*x - 4)/4
Solve 9*y**3 + 407*y**2 + 864*y + 172 = 0.
-43, -2, -2/9
Determine q, given that q**2/4 - 6*q - 13 = 0.
-2, 26
Factor 3*v**2 + 2412*v + 484812.
3*(v + 402)**2
Factor 3*p**2 - 195*p.
3*p*(p - 65)
Determine a, given that 98*a**5/5 + 518*a**4/5 + 926*a**3/5 + 626*a**2/5 + 128*a/5 + 8/5 = 0.
-2, -1, -1/7
Suppose 5*x**4/3 - 130*x**3/3 + 845*x**2/3 = 0. What is x?
0, 13
Determine x so that -3*x**5/5 - x**4/5 + 3*x**3/5 + x**2/5 = 0.
-1, -1/3, 0, 1
Factor -2*n**2 + 98*n + 100.
-2*(n - 50)*(n + 1)
Find z such that 169*z**3/3 - 455*z**2 - 144*z + 5184 = 0.
-3, 72/13
What is r in -11858*r**2/3 + 616*r/3 - 8/3 = 0?
2/77
What is o in -4*o**3 + 48*o**2 + 112*o = 0?
-2, 0, 14
Solve h**3/2 + 7*h**2/2 - 20*h + 22 = 0 for h.
-11, 2
Factor -2*d**3 + 8*d**2 + 2*d - 8.
-2*(d - 4)*(d - 1)*(d + 1)
Factor p**2/4 + 47*p/2 + 2209/4.
(p + 47)**2/4
Factor -2*b**5/3 - 44*b**4/3 - 386*b**3/3 - 1688*b**2/3 - 3680*b/3 - 3200/3.
-2*(b + 4)**3*(b + 5)**2/3
Factor g**2/8 + 12*g - 49/2.
(g - 2)*(g + 98)/8
Factor -i**2 + 11*i + 60.
-(i - 15)*(i + 4)
Let -2*h**2 + 492*h - 490 = 0. Calculate h.
1, 245
Determine f so that f**5 + 143*f**4 - 144*f**3 = 0.
-144, 0, 1
Factor 5*y**5 + 5*y**4 - 5*y**3 - 5*y**2.
5*y**2*(y - 1)*(y + 1)**2
Factor -4*c**2 + 32*c - 28.
-4*(c - 7)*(c - 1)
Factor 2*v**4/9 + 28*v**3/9 + 58*v**2/9 - 352*v/9 - 128/3.
2*(v - 3)*(v + 1)*(v + 8)**2/9
Let 4*t**3 - 648*t**2 + 34992*t - 629856 = 0. What is t?
54
Factor -2*b**2/5 - 52*b - 1690.
-2*(b + 65)**2/5
Factor -4*n**4 - 804*n**3 + 808*n**2.
-4*n**2*(n - 1)*(n + 202)
Let -r**4/6 - 5*r**3/6 + r**2/6 + 5*r/6 = 0. Calculate r.
-5, -1, 0, 1
Factor 2*g**4/3 - 46*g**3/3 + 158*g**2/3 - 38*g.
2*g*(g - 19)*(g - 3)*(g - 1)/3
Find m, given that 2*m**3/7 + 1334*m**2 + 10904448*m/7 + 10895112/7 = 0.
-2334, -1
Suppose 3*h**2/7 + 26*h/7 + 23/7 = 0. What is h?
-23/3, -1
Suppose 160*x**5/7 - 3216*x**4/7 + 3098*x**3/7 + 4594*x**2/7 + 216*x + 152/7 = 0. What is x?
-2/5, -1/4, 2, 19
Suppose a**4/2 - 5*a**3 - 39*a**2/2 = 0. What is a?
-3, 0, 13
Factor -2*t**3 + 91*t**2 + 140*t + 47.
-(t - 47)*(t + 1)*(2*t + 1)
Find h such that -h**2 - 25*h - 46 = 0.
-23, -2
Factor -3*c**2 - 60*c.
-3*c*(c + 20)
What is v in -4802*v**4 - 96432*v**3 - 488048*v**2 - 39360*v - 800 = 0?
-10, -2/49
Suppose s**2 - 130*s = 0. Calculate s.
0, 130
Find x, given that 3*x**4/7 - 6*x**3/7 - 3*x**2 - 12*x/7 = 0.
-1, 0, 4
Determine d, given that -3*d**5 + 333*d**4 - 969*d**3 - 333*d**2 + 972*d = 0.
-1, 0, 1, 3, 108
Factor -2*i**2 - 4404*i - 2424402.
-2*(i + 1101)**2
Determine k, given that 3*k**3 + 129*k**2 + 477*k + 351 = 0.
-39, -3, -1
Let -3*w**4 - 42*w**3 - 39*w**2 = 0. What is w?
-13, -1, 0
Factor 2*u**5/9 - 10*u**4/9 - 44*u**3/3 + 872*u**2/9 - 1744*u/9 + 128.
2*(u - 8)*(u - 2)**3*(u + 9)/9
Find x, given that 5*x**4 + 90*x**3 + 385*x**2 = 0.
-11, -7, 0
Factor 3*w**4 + 33*w**3 + 126*w**2 + 192*w + 96.
3*(w + 1)*(w + 2)*(w + 4)**2
Find l such that -l**2/4 - 3*l/2 - 9/4 = 0.
-3
Factor -6*a**3 - 94*a**2 - 434*a - 490.
-2*(a + 7)**2*(3*a + 5)
Solve 4*i**2 - 2752*i + 473344 = 0 for i.
344
Find d, given that -4*d**2 - 44*d - 40 = 0.
-10, -1
Find s, given that -10*s**5/13 + 96*s**4/13 - 200*s**3/13 - 196*s**2/13 + 210*s/13 + 100/13 = 0.
-1, -2/5, 1, 5
Solve 484*i**4 - 2552*i**3 + 2308*i**2 + 2784*i + 5