-i**4 - 84*i**3.
-i**3*(i + 84)
Factor -16*r**4 - 232*r**3 - 649*r**2 + 1392*r - 576.
-(r + 8)**2*(4*r - 3)**2
Let -4*k**4/3 + 140*k**3/3 - 384*k**2 - 432*k = 0. What is k?
-1, 0, 18
Find m, given that -7*m**2/4 - 1817*m/2 - 519/4 = 0.
-519, -1/7
Factor 4*s**5/7 - 40*s**3/7 - 80*s**2/7 - 60*s/7 - 16/7.
4*(s - 4)*(s + 1)**4/7
Factor 10*f**4 - 108*f**3/7 + 32*f**2/7.
2*f**2*(5*f - 2)*(7*f - 8)/7
Solve -6*r**4 + 52*r**3 + 232*r**2 + 112*r - 192 = 0 for r.
-2, 2/3, 12
Find q, given that 15*q**2 - 2780*q + 925 = 0.
1/3, 185
Find v such that 2*v**2/3 + 28*v/3 + 30 = 0.
-9, -5
Factor -5*r**2 + 2085*r - 2080.
-5*(r - 416)*(r - 1)
Factor b**5/4 + 7*b**4/4 - 9*b**3/2 - 27*b**2 + 54*b.
b*(b - 3)*(b - 2)*(b + 6)**2/4
Find a such that -5*a**3/2 - 51*a**2/2 - 5*a = 0.
-10, -1/5, 0
Factor 211*s**2 - 233*s + 22.
(s - 1)*(211*s - 22)
Suppose 2*l**4/3 - 8*l**3 + 14*l**2 + 124*l/3 - 48 = 0. Calculate l.
-2, 1, 4, 9
Suppose 4*z**2/11 + 118*z/11 - 60/11 = 0. Calculate z.
-30, 1/2
Determine w, given that -3*w**3/5 - 21*w**2/5 - 36*w/5 = 0.
-4, -3, 0
Find c, given that -12*c**5 - 128*c**4 + 928*c**3 - 1536*c**2 + 64*c + 1024 = 0.
-16, -2/3, 2
Factor -h**2 + 6*h.
-h*(h - 6)
Find d, given that -4*d**3/5 + 12*d**2/5 + 32*d = 0.
-5, 0, 8
Factor 3*d**4 + 168*d**3 - 891*d**2 + 1452*d - 732.
3*(d - 2)**2*(d - 1)*(d + 61)
Determine x, given that -27*x**4/2 + 17919*x**3/2 + 20955*x**2 + 15978*x + 3996 = 0.
-1, -2/3, 666
Factor 80*z**3/3 - 680*z**2/3 - 355*z/3 - 15.
5*(z - 9)*(4*z + 1)**2/3
Suppose 2*u**2/13 + 4756*u/13 + 2827442/13 = 0. Calculate u.
-1189
Suppose -2*i**5/13 - 2*i**4/13 + 58*i**3/13 - 158*i**2/13 + 160*i/13 - 56/13 = 0. Calculate i.
-7, 1, 2
What is y in -4*y**3 - 640*y**2 - 628*y + 1272 = 0?
-159, -2, 1
Determine m so that -2*m**4 - 190*m**3 - 1700*m**2 = 0.
-85, -10, 0
What is b in 2*b**2/13 + 4*b/13 - 448/13 = 0?
-16, 14
Determine b so that -7*b**5 + 75*b**4 - 230*b**3 + 180*b**2 + 72*b = 0.
-2/7, 0, 2, 3, 6
Factor c**5/8 + 17*c**4/8 + 9*c**3.
c**3*(c + 8)*(c + 9)/8
Suppose n**4 - 3*n**3 - 483*n**2 - 4213*n - 6534 = 0. What is n?
-11, -2, 27
Let 4*d**2 - 1728*d + 1724 = 0. What is d?
1, 431
Suppose -2*y**2/3 + 1708*y/3 + 3424/3 = 0. What is y?
-2, 856
Factor -c**3/3 + 26*c**2/3 - 16*c.
-c*(c - 24)*(c - 2)/3
Determine r, given that -6*r**3 + 21*r**2 + 1524*r + 756 = 0.
-14, -1/2, 18
Factor -2*s**2/7 + 26*s/7 - 24/7.
-2*(s - 12)*(s - 1)/7
Factor -5*o**4 + 120*o**3 + 5*o**2 - 120*o.
-5*o*(o - 24)*(o - 1)*(o + 1)
Factor o**3 + 1755*o**2 + 3507*o + 1753.
(o + 1)**2*(o + 1753)
Let 5*z**5 - 150*z**4 + 785*z**3 + 5100*z**2 + 5780*z = 0. What is z?
-2, 0, 17
Determine y, given that -4*y**3 + 852*y**2/7 - 1172*y/7 + 348/7 = 0.
3/7, 1, 29
Find n such that -n**4 - 5*n**3 + 17*n**2 + 21*n = 0.
-7, -1, 0, 3
Solve 8*v**4/9 - 238*v**3/9 + 172*v**2/9 + 58*v/9 = 0.
-1/4, 0, 1, 29
Factor 6*r**4 + 68*r**3 + 136*r**2 + 92*r + 18.
2*(r + 1)**2*(r + 9)*(3*r + 1)
Factor y**3/10 + 6*y**2/5 + 16*y/5.
y*(y + 4)*(y + 8)/10
Suppose b**4/3 - 7*b**3/3 - b**2 + 55*b/3 + 50/3 = 0. What is b?
-2, -1, 5
Let 5*y**5 - 3137*y**4 + 500439*y**3 - 2636359*y**2 + 3876304*y - 1160652 = 0. Calculate y.
2/5, 2, 3, 311
Factor 5*l**5 - 20*l**3 - 10*l**2 + 15*l + 10.
5*(l - 2)*(l - 1)*(l + 1)**3
Determine q, given that -5*q**5 - 65*q**4 - 165*q**3 - 155*q**2 - 50*q = 0.
-10, -1, 0
Factor 2*k**4/3 - 28*k**3 - 88*k**2 - 268*k/3 - 30.
2*(k - 45)*(k + 1)**3/3
Factor n**3 - 66*n**2 - 276*n - 280.
(n - 70)*(n + 2)**2
Factor 3*k**3/4 - 3*k.
3*k*(k - 2)*(k + 2)/4
Factor -60*d**2 + 368*d - 48.
-4*(d - 6)*(15*d - 2)
Find l, given that -11598*l**2/5 + 1167*l - 18/5 = 0.
6/1933, 1/2
What is x in -5*x**5/3 + 5*x**4 - 5*x**3/3 - 5*x**2 + 10*x/3 = 0?
-1, 0, 1, 2
Find v, given that 3*v**4/2 + 12*v**3 - 135*v**2 + 324*v - 405/2 = 0.
-15, 1, 3
Factor 5*w**4 - 55*w**3 + 120*w**2.
5*w**2*(w - 8)*(w - 3)
Factor 2*u**3/3 - 110*u**2/3 + 488*u/3 + 200.
2*(u - 50)*(u - 6)*(u + 1)/3
Let -4*w**3 - 192*w**2 + 1324*w + 1512 = 0. Calculate w.
-54, -1, 7
Factor -2*h**2 + 84*h + 368.
-2*(h - 46)*(h + 4)
Solve -44*g**3 + 232*g**2 - 60*g = 0 for g.
0, 3/11, 5
Factor -2*u**2 + 32*u - 30.
-2*(u - 15)*(u - 1)
Factor -128*g**2/13 + 12512*g/13 - 305762/13.
-2*(8*g - 391)**2/13
Let -u**3/2 + 23*u**2/2 - 10*u - 22 = 0. What is u?
-1, 2, 22
Solve -15*v**3/7 + 6024*v**2/7 - 86229*v - 242406/7 = 0.
-2/5, 201
Factor k**2 + 12*k - 45.
(k - 3)*(k + 15)
Solve -243*x**3 - 1107*x**2 - 1632*x - 768 = 0 for x.
-16/9, -1
What is u in 2*u**4/13 + 6*u**3/13 - 64*u**2/13 + 120*u/13 - 64/13 = 0?
-8, 1, 2
What is l in -2*l**5 - 30*l**4 + 188*l**3 + 5076*l**2 + 23814*l + 18954 = 0?
-9, -1, 13
Find o such that -2*o**2 - 351*o - 175 = 0.
-175, -1/2
Suppose 5*b**2 + 6890*b + 2373605 = 0. What is b?
-689
Find m, given that 35*m**3 - 270*m**2 - 395*m - 90 = 0.
-1, -2/7, 9
Solve -5*z**3 - 315*z**2 - 3115*z - 2805 = 0.
-51, -11, -1
Factor 2*d**4/9 + 34*d**3/9 + 202*d**2/9 + 470*d/9 + 100/3.
2*(d + 1)*(d + 5)**2*(d + 6)/9
Factor -85*a**2 - 330*a + 40.
-5*(a + 4)*(17*a - 2)
Factor -2*d**3/9 - 188*d**2/9 - 4418*d/9.
-2*d*(d + 47)**2/9
Determine n, given that -2*n**2/7 + 2082*n/7 - 2080/7 = 0.
1, 1040
Find b such that -3*b**5/4 + 21*b**4/2 - 51*b**3 + 195*b**2/2 - 225*b/4 = 0.
0, 1, 3, 5
Factor 4*i**3/7 + 104*i**2/7 - 2756*i/7 - 408.
4*(i - 17)*(i + 1)*(i + 42)/7
Factor -2*n**4/7 - 36*n**3 - 7682*n**2/7 + 2304*n - 8192/7.
-2*(n - 1)**2*(n + 64)**2/7
Factor -w**3/11 + 17*w**2/11 - 38*w/11 - 56/11.
-(w - 14)*(w - 4)*(w + 1)/11
Suppose 3*o**3/5 - 96*o**2/5 + 36*o = 0. Calculate o.
0, 2, 30
Let -h**4 - 21*h**3 + 3*h**2 + 65*h + 42 = 0. Calculate h.
-21, -1, 2
Find h, given that -5*h**3 - 135*h**2 - 840*h - 1520 = 0.
-19, -4
Factor -2*y**3/3 - 10*y**2/3 - 8*y/3.
-2*y*(y + 1)*(y + 4)/3
Let 4*c**2 - 16520*c - 16524 = 0. Calculate c.
-1, 4131
Factor c**3/8 + 453*c**2/8 + 675*c/4.
c*(c + 3)*(c + 450)/8
Solve 2*w**4 + 152*w**3 + 2394*w**2 - 18860*w + 26896 = 0.
-41, 2, 4
Factor -3*b**2 - 624*b - 2448.
-3*(b + 4)*(b + 204)
What is x in 2*x**3/13 - 24*x/13 - 32/13 = 0?
-2, 4
Find x such that -9*x**3/4 + 327*x**2/4 - 756*x + 243 = 0.
1/3, 18
Find t such that -2*t**4/5 - 23*t**3/5 - 91*t**2/5 - 136*t/5 - 48/5 = 0.
-4, -3, -1/2
Factor 2*x**4/3 - 8*x**3/3 - 8*x**2 + 128*x/3 - 128/3.
2*(x - 4)*(x - 2)**2*(x + 4)/3
Factor 2*a**2/5 + 42*a/5 - 392/5.
2*(a - 7)*(a + 28)/5
Suppose -5*t**4 + 385*t**3 - 4965*t**2 + 19775*t - 15190 = 0. What is t?
1, 7, 62
Factor -4*n**4 + 8*n**3 + 32*n**2 - 72*n + 36.
-4*(n - 3)*(n - 1)**2*(n + 3)
Let u**2 + 18*u - 40 = 0. Calculate u.
-20, 2
What is r in 2*r**3 + 9594*r**2 + 15340806*r + 8176649598 = 0?
-1599
Suppose 4*f**5 - 64*f**4/7 - 12*f**3/7 + 64*f**2/7 - 16*f/7 = 0. What is f?
-1, 0, 2/7, 1, 2
Determine m, given that m**3/2 + 180*m**2 - 361*m/2 = 0.
-361, 0, 1
Factor 2*o**2/7 + 52*o/7 - 54/7.
2*(o - 1)*(o + 27)/7
Factor -q**3/4 + 19*q**2/4 + 21*q/2.
-q*(q - 21)*(q + 2)/4
Determine t, given that 2*t**4 + 68*t**3 - 8*t**2 - 272*t = 0.
-34, -2, 0, 2
Solve p**2 - 517*p - 1038 = 0 for p.
-2, 519
Let -u**3/8 + 9*u**2/4 - 12*u + 20 = 0. What is u?
4, 10
Factor -7*r**3 + 1038*r**2 - 2340*r + 584.
-(r - 146)*(r - 2)*(7*r - 2)
Factor w**3/3 - 6*w**2 + 20*w - 56/3.
(w - 14)*(w - 2)**2/3
Factor -i**4/3 - 8*i**3/3 + 4*i**2 + 80*i/3 - 128/3.
-(i - 2)**2*(i + 4)*(i + 8)/3
Factor -h**5 - 33*h**4 - 351*h**3 - 1183*h**2.
-h**2*(h + 7)*(h + 13)**2
Factor -2*x**2/5 - 8*x/5 + 2.
-2*(x - 1)*(x + 5)/5
Let -2*u**2/15 + 344*u/15 - 2624/15 = 0. What is u?
8, 164
Factor 10*n**2 - 16484*n + 6592.
2*(n - 1648)*(5*n - 2)
Factor 2*f**4/23 - 48*f**2/23 - 128*f/23 - 96/23.
2*(f - 6)*(f + 2)**3/23
Determine x so that -3*x**3 - 285*x**2 + 306*x + 1728 = 0.
-96, -2, 3
Let 2*y**3/5 - 16*y**2/5 + 26*y/5 - 12/5 = 0. Calculate y.
1, 6
Solve -3*y**2 - 39*y - 108 = 0.
-9, -4
What is x in x**3/2 - 65*x**2/2 - 273*x/2 - 207/2 = 0?
-3, -1, 69
Determine v, given that -4*v**2 + 1332*v = 0.
0, 333
Let v**2 + 4466*v + 4986289 = 0. What is v?
-2233
Factor -r**4/5 - 14*r**3/5 - 73*r**2/5 - 168*r/5 - 144/5.
-(r + 3)**2*(r + 4)**2/5
Factor m**3 - 202*m**2 + 201*m.
m*(m - 201)*(m - 1)
Solve 4*q**5/5 - 62*q**4/5 - 34*q**3/5 + 32*q**2/5 = 0.
-1, 0, 1/2, 16
Factor -3*h**3 - 21*h**2.
-3*h**2*(h + 7)
Suppose -75*m**5/4 + 3435*m**4/2 - 42312*m**3 + 137040*m**2 - 141504*m + 46464 = 0. What is m?
4/5, 2, 44
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