83.
3*(n + 1)*(n + 19)**2
Suppose 3*v**4 + 666*v**3 + 36288*v**2 - 75264*v = 0. What is v?
-112, 0, 2
Factor -15*d**2/7 + 9*d/7 + 6.
-3*(d - 2)*(5*d + 7)/7
Find d such that -2*d**3 - 4*d**2 + 14*d - 8 = 0.
-4, 1
Factor 37*z**3 + 1033*z**2 + 7168*z - 588.
(z + 14)**2*(37*z - 3)
Factor 2*z**4/19 + 2*z**3/19 - 6*z**2/19 - 10*z/19 - 4/19.
2*(z - 2)*(z + 1)**3/19
Factor p**3/3 + 14*p**2/3.
p**2*(p + 14)/3
Factor -3*t**3/7 + 6*t**2 - 129*t/7 + 90/7.
-3*(t - 10)*(t - 3)*(t - 1)/7
Factor -4*g**2 + 324*g - 4352.
-4*(g - 64)*(g - 17)
Factor 15*g**2 + 30770*g + 10255.
5*(g + 2051)*(3*g + 1)
Factor 5*h**4 + 35*h**3 - 10*h**2 - 300*h - 360.
5*(h - 3)*(h + 2)**2*(h + 6)
Let c**4 + 17*c**3 + 23*c**2 - 101*c + 60 = 0. What is c?
-15, -4, 1
Determine o so that -2*o**5/9 + 28*o**4/9 + 74*o**3/9 - 748*o**2/9 + 152*o - 80 = 0.
-6, 1, 2, 15
Solve 3*x**3 - 111*x**2 + 1344*x - 5292 = 0 for x.
9, 14
Factor z**2 - 394*z + 1173.
(z - 391)*(z - 3)
Let 2*c**2/9 + 2000*c/3 + 500000 = 0. What is c?
-1500
Factor 484*u**3 - 2596*u**2 + 896*u - 80.
4*(u - 5)*(11*u - 2)**2
Factor 186*f**2/5 + 378*f/5 + 12/5.
6*(f + 2)*(31*f + 1)/5
Factor h**4/5 - 16*h**3/5 + 68*h**2/5 - 16*h.
h*(h - 10)*(h - 4)*(h - 2)/5
Let -2*k**5/9 - 100*k**4/3 - 296*k**3/9 + 100*k**2/3 + 298*k/9 = 0. Calculate k.
-149, -1, 0, 1
Find v such that 48*v**4 - 504*v**3 - 837*v**2 - 321*v - 36 = 0.
-1, -1/4, 12
Determine n, given that 2*n**2/9 - 110*n/9 + 1472/9 = 0.
23, 32
Factor 5*o**4/2 - 50*o**3 + 240*o**2.
5*o**2*(o - 12)*(o - 8)/2
Find v, given that -2*v**2/13 + 30*v/13 - 72/13 = 0.
3, 12
Factor -s**2/6 - 7*s/6 - 2.
-(s + 3)*(s + 4)/6
Factor 3*x**3/4 - 15*x**2/4 - 75*x/4 + 375/4.
3*(x - 5)**2*(x + 5)/4
Suppose 36*s**3 - 208*s**2 - 48*s = 0. What is s?
-2/9, 0, 6
Determine n so that -258*n**2 + 393*n - 9 = 0.
1/43, 3/2
Find z, given that z**2/3 - 111*z + 662/3 = 0.
2, 331
Suppose -r**4/3 - 4*r**3/3 + r**2/3 + 4*r/3 = 0. Calculate r.
-4, -1, 0, 1
Determine b so that -3*b**4 - 306*b**3 + 2292*b**2 + 306*b - 2289 = 0.
-109, -1, 1, 7
Factor -2*a**3/13 + 32*a**2/13 - 58*a/13 - 20.
-2*(a - 13)*(a - 5)*(a + 2)/13
Factor 5*s**2 + 60*s - 140.
5*(s - 2)*(s + 14)
Factor 2*h**4/3 + 144*h**3 + 7332*h**2 - 47952*h + 73926.
2*(h - 3)**2*(h + 111)**2/3
Let -2*i**3/5 + 238*i**2/5 + 298*i + 250 = 0. What is i?
-5, -1, 125
Determine z so that -z**3/2 - 9*z**2 = 0.
-18, 0
Find b, given that 22*b**3/3 + 140*b**2/3 + 98*b/3 - 260/3 = 0.
-5, -26/11, 1
Solve j**3/4 + 431*j**2/2 + 184025*j/4 - 187489 = 0 for j.
-433, 4
Solve 2*p**5/3 + 6*p**4 - 2*p**3 - 58*p**2/3 - 12*p = 0 for p.
-9, -1, 0, 2
Find a such that 2*a**2/9 + 1240*a/9 + 1238/9 = 0.
-619, -1
Factor -3*q**2 - 111*q + 1764.
-3*(q - 12)*(q + 49)
What is m in -2*m**4/11 + 30*m**3/11 + 2*m**2/11 - 30*m/11 = 0?
-1, 0, 1, 15
Solve -3*f**3 + 30*f**2 - 39*f - 72 = 0.
-1, 3, 8
Factor -3*g**4 - 24*g**3 + 27*g**2.
-3*g**2*(g - 1)*(g + 9)
Factor -5*u**3/2 + 65*u**2 - 845*u/2 + 360.
-5*(u - 16)*(u - 9)*(u - 1)/2
Let 2*b**3/5 - 94*b**2/5 + 268*b/5 - 176/5 = 0. Calculate b.
1, 2, 44
Let 2*x**3/11 + 8*x**2/11 - 6*x/11 - 36/11 = 0. What is x?
-3, 2
Factor n**2/10 + 387*n/10 - 389/5.
(n - 2)*(n + 389)/10
Determine p, given that -3*p**2 + 261*p - 258 = 0.
1, 86
Let 5*b**3 - 40*b**2 + 25*b + 250 = 0. What is b?
-2, 5
Factor -4*i**2/9 - 1132*i/9 - 376/3.
-4*(i + 1)*(i + 282)/9
Factor k**3/8 - 11*k**2/8 + 13*k/4 - 2.
(k - 8)*(k - 2)*(k - 1)/8
Factor j**3 + 2*j**2 - 4*j - 8.
(j - 2)*(j + 2)**2
Suppose 9*w**3 - 168*w**2 - 435*w - 126 = 0. What is w?
-2, -1/3, 21
Determine f, given that 2*f**3 - 38*f**2 + 240*f - 504 = 0.
6, 7
Let -3*n**5/7 + 18*n**4/7 - 3*n**3/7 - 72*n**2/7 - 48*n/7 = 0. What is n?
-1, 0, 4
Solve -s**4/3 - s**3/3 + s**2 + s/3 - 2/3 = 0 for s.
-2, -1, 1
Factor -2*d**3/9 - 26*d**2/9 - 46*d/9 - 22/9.
-2*(d + 1)**2*(d + 11)/9
Factor s**2 + 4276*s + 4275.
(s + 1)*(s + 4275)
Solve -5*q**4 + 10*q**3 + 65*q**2 - 70*q - 120 = 0.
-3, -1, 2, 4
Solve y**5 - 13*y**4 - 3*y**3 + 41*y**2 - 26*y = 0.
-2, 0, 1, 13
Factor w**3/3 - 5*w**2/3 - 2*w.
w*(w - 6)*(w + 1)/3
Suppose 5*s**2 - 15*s - 90 = 0. Calculate s.
-3, 6
Let -i**2/2 - 153*i + 307/2 = 0. Calculate i.
-307, 1
What is j in 3*j**5/2 + 33*j**4/2 + 69*j**3/2 - 141*j**2/2 - 36*j + 54 = 0?
-6, -1, 1
Factor -2*x**4 - 88*x**3 - 1052*x**2 - 1848*x - 882.
-2*(x + 1)**2*(x + 21)**2
Factor -o**3/7 + 372*o**2/7 - 34596*o/7.
-o*(o - 186)**2/7
Factor -8*t**3/9 + 14*t**2/3 - 14*t/3 + 8/9.
-2*(t - 4)*(t - 1)*(4*t - 1)/9
Factor 12*k**3 + 40*k**2 - 12*k - 40.
4*(k - 1)*(k + 1)*(3*k + 10)
Let -2*g**4/5 + 98*g**3/5 - 836*g**2/5 + 2232*g/5 - 1872/5 = 0. What is g?
2, 6, 39
Let 4*n**2 + 804*n - 2448 = 0. What is n?
-204, 3
Solve -6*b**4 - 38*b**3 - 8*b**2 + 24*b = 0 for b.
-6, -1, 0, 2/3
Solve a**2 + 280*a + 19600 = 0 for a.
-140
Find s, given that -4*s**3 + 1416*s**2 = 0.
0, 354
Determine f so that -5*f**3 - 80*f**2 - 100*f + 2000 = 0.
-10, 4
Determine l so that -10*l**5/3 + 8*l**4 + 82*l**3/3 - 72*l**2 + 24*l = 0.
-3, 0, 2/5, 2, 3
Factor 5*d**2 + 5555*d + 5550.
5*(d + 1)*(d + 1110)
Let -2*h**2/3 + 58*h/3 - 56/3 = 0. What is h?
1, 28
Find u, given that u**3/7 + 43*u**2/7 + 69*u + 63 = 0.
-21, -1
Factor 3*f**4/2 - 6*f**3 - 57*f**2/2 - 21*f.
3*f*(f - 7)*(f + 1)*(f + 2)/2
Solve 3*s**2 - 699*s - 2124 = 0 for s.
-3, 236
Let -24*f**5 + 540*f**4 - 246*f**3 - 411*f**2 + 333*f - 66 = 0. Calculate f.
-1, 1/2, 22
Find n such that -n**3/4 + 5*n**2/4 + 3*n/2 = 0.
-1, 0, 6
Let 4*d**2 - 12*d - 40 = 0. Calculate d.
-2, 5
Determine w so that -33*w**3 - 1374*w**2 - 849*w + 492 = 0.
-41, -1, 4/11
Factor -s**4/7 + 8*s**3/7 - 5*s**2/7 - 50*s/7.
-s*(s - 5)**2*(s + 2)/7
Factor -4*j**2 + 132*j - 248.
-4*(j - 31)*(j - 2)
Solve -3*r**3/8 - 133*r**2/8 - 187*r - 121/2 = 0 for r.
-22, -1/3
Factor -3*k**2 + 12*k.
-3*k*(k - 4)
Find d such that -3*d**2 + 90*d = 0.
0, 30
Factor -3*r**4 - 15*r**3 + 96*r**2 - 108*r.
-3*r*(r - 2)**2*(r + 9)
Factor 2*j**4/17 + 2912*j**3/17 + 1589952*j**2/17 + 385828352*j/17 + 35110380032/17.
2*(j + 364)**4/17
Suppose -4*s**3 - 44*s**2 - 104*s - 64 = 0. What is s?
-8, -2, -1
Factor 2*f**4 + 450*f**3 + 25978*f**2 + 74814*f + 49284.
2*(f + 1)*(f + 2)*(f + 111)**2
Factor 7*l**2/2 + 205*l/2 + 29.
(l + 29)*(7*l + 2)/2
Factor -6*c**2/19 + 838*c/19 - 556/19.
-2*(c - 139)*(3*c - 2)/19
Factor -2*q**2/3 + 262*q - 784/3.
-2*(q - 392)*(q - 1)/3
Factor -2*v**3/11 - 6*v**2 - 630*v/11 - 1350/11.
-2*(v + 3)*(v + 15)**2/11
Solve -2*i**4/3 + 2*i**3 + 2*i**2/3 - 2*i = 0 for i.
-1, 0, 1, 3
Factor a**3 + 8808*a**2 + 25860288*a + 25308601856.
(a + 2936)**3
Solve 6*v**5 + 117*v**4 + 390*v**3 - 225*v**2 = 0 for v.
-15, -5, 0, 1/2
Let 4*r**5 + 52*r**4 + 76*r**3 - 164*r**2 - 368*r - 176 = 0. What is r?
-11, -2, -1, 2
Solve -20*v**5 - 1712*v**4 - 36272*v**3 + 16504*v**2 + 36292*v - 14792 = 0.
-43, -1, 2/5, 1
Factor 2*i**2/5 + 216*i/5 + 782.
2*(i + 23)*(i + 85)/5
Determine r, given that 5*r**2 + 9105*r + 18190 = 0.
-1819, -2
Factor 2*g**3/9 + 70*g**2/9 + 574*g/9 - 646/9.
2*(g - 1)*(g + 17)*(g + 19)/9
Factor o**2/2 - 11*o/2 + 14.
(o - 7)*(o - 4)/2
Factor -3*r**2/8 - 225*r/2 - 444.
-3*(r + 4)*(r + 296)/8
Factor l**2/3 - 10*l + 56/3.
(l - 28)*(l - 2)/3
Find j such that -2*j**2 - 30*j + 32 = 0.
-16, 1
Find r, given that r**4 + 4971*r**3 + 6180195*r**2 + 6175225*r = 0.
-2485, -1, 0
Factor 4*h**2/5 - 88*h/5 + 32.
4*(h - 20)*(h - 2)/5
Solve -2500*q**4 - 20125*q**3 - 55575*q**2 - 56615*q - 10985 = 0.
-13/5, -1/4
Factor -2*u**4/11 + 12*u**3/11 - 18*u**2/11 + 8*u/11.
-2*u*(u - 4)*(u - 1)**2/11
Factor -a**3/6 + 265*a**2/3.
-a**2*(a - 530)/6
Let 2*z**3/11 - 58*z**2/11 - 44*z - 720/11 = 0. Calculate z.
-5, -2, 36
Suppose -4*u**4 + 64*u**3 - 56*u**2 - 64*u + 60 = 0. What is u?
-1, 1, 15
Suppose 5*y**3 + 430*y**2 + 395*y - 2550 = 0. Calculate y.
-85, -3, 2
Factor -5*f**2 - 35*f + 40.
-5*(f - 1)*(f + 8)
Let 2*y**2 - 2*y - 24 = 0. What is y?
-3, 4
Factor -3*s**3/8 - 51*s**2/8 + 15*s/2 + 27/2.
-3*(s - 2)*(s + 1)*(s + 18)/8
Factor -4*c**3 - 24*c**2 + 196*c - 264.
-4*(c - 3)*(c - 2)*(c + 11)
Determine q so that -5*q**2 + 100*q - 500 = 0.
10
Find b, given that 2*b**4/5 - 5*b**3 + 56*b**2/5 + 147*b/5 = 0.
-3/2, 0, 7
Factor -c**5 + 19*c**4 - 112*c**3 + 296*c**2 - 368*c + 176.
-(c - 11)*(c - 2)**4
What is p in -4*p**3 + 116*p**2 - 896*p + 784 = 0?
1, 14
Factor -z**4 - 200*z**3.
-z**3*(z + 200)
Factor -2*j**3/9