83.
3*(i - 29)*(i - 9)
Factor f**2/3 + 26*f.
f*(f + 78)/3
Find k such that -29645*k**3 - 31185*k**2 - 1560*k - 20 = 0.
-1, -2/77
Find q, given that 2*q**4/9 - 8*q**3/9 - 28*q**2/3 + 440*q/9 - 350/9 = 0.
-7, 1, 5
Find t such that -t**5 + 26*t**4 - 168*t**3 - 26*t**2 + 169*t = 0.
-1, 0, 1, 13
Factor 13*q**4 + 267*q**3 + 1434*q**2 + 580*q - 600.
(q + 1)*(q + 10)**2*(13*q - 6)
Suppose l**3 - 53*l**2/4 - 43*l/4 + 7/2 = 0. What is l?
-1, 1/4, 14
Factor 3*z**3 + 93*z**2 - 936*z.
3*z*(z - 8)*(z + 39)
Find y such that 2*y**3/17 + 10*y**2/17 - 8*y/17 - 40/17 = 0.
-5, -2, 2
Factor -2*r**3/5 - 44*r**2/5 - 82*r/5 - 8.
-2*(r + 1)**2*(r + 20)/5
Factor -4*w**2 - 4*w + 48.
-4*(w - 3)*(w + 4)
Determine r, given that 3*r**3 - 2463*r**2/4 - 1857*r/4 + 309/2 = 0.
-1, 1/4, 206
Factor -3*p**3 + 1386*p**2 - 213444*p + 10956792.
-3*(p - 154)**3
Let -5*n**5/7 - 12*n**4/7 - 9*n**3/7 - 2*n**2/7 = 0. Calculate n.
-1, -2/5, 0
Factor v**4 - 70*v**3 - 1127*v**2 + 82320*v + 1382976.
(v - 56)**2*(v + 21)**2
Solve -2*g**3/15 - 2*g**2/15 + 4*g/3 - 16/15 = 0.
-4, 1, 2
Suppose 5*r**2 - 4190*r + 877805 = 0. What is r?
419
Factor -3*a**2 + 1182*a - 116427.
-3*(a - 197)**2
Suppose 21*f**4 - 356*f**3 + 865*f**2 + 42*f = 0. What is f?
-1/21, 0, 3, 14
Let -147*g**5/4 - 105*g**4/2 + 9*g**3/4 + 15*g**2 - 3*g = 0. What is g?
-1, 0, 2/7
Factor -s**2/11 - 196*s/11 - 579/11.
-(s + 3)*(s + 193)/11
Solve -9522*w**2/7 + 276*w/7 - 2/7 = 0.
1/69
Factor u**3/4 + 87*u**2/2 + 515*u/4 + 171/2.
(u + 1)*(u + 2)*(u + 171)/4
Find t, given that 3*t**4 - 18*t**3 - 81*t**2 + 324*t + 972 = 0.
-3, 6
Suppose -3*q**2 - 486*q - 19683 = 0. What is q?
-81
Solve 5*o**3 + 340*o**2 + 335*o = 0.
-67, -1, 0
Suppose 5*o**5 - 80*o**4 - 1055*o**3 + 2330*o**2 - 1200*o = 0. Calculate o.
-10, 0, 1, 24
Solve 4*x**2 + 248*x - 780 = 0 for x.
-65, 3
Factor 4*n**5 + 12*n**4 - 288*n**3 + 704*n**2.
4*n**2*(n - 4)**2*(n + 11)
Factor 4*k**2 - 416*k + 10816.
4*(k - 52)**2
Factor -5*t**4 - 52*t**3 - 87*t**2 + 252*t - 108.
-(t - 1)*(t + 6)**2*(5*t - 3)
Suppose s**2 - 500*s + 62500 = 0. Calculate s.
250
Factor d**3/3 - 4*d**2/3 - 41*d/3 - 12.
(d - 9)*(d + 1)*(d + 4)/3
Let l**3/2 - l**2 - 155*l/2 + 78 = 0. Calculate l.
-12, 1, 13
Find t such that -t**2/5 + 132*t/5 - 127 = 0.
5, 127
Solve -9*v**4/2 - 57*v**3/2 + 63*v**2/2 + 153*v/2 + 21 = 0.
-7, -1, -1/3, 2
Find i, given that 3*i**2 - 654*i + 1296 = 0.
2, 216
Factor w**3/10 - 751*w**2/5 + 300*w.
w*(w - 1500)*(w - 2)/10
Let -4*x**4 + 8*x**3 + 32*x**2 - 72*x + 36 = 0. Calculate x.
-3, 1, 3
Find t such that t**4/5 + 27*t**3 + 1621*t**2/5 + 4221*t/5 - 5978/5 = 0.
-122, -7, 1
Find t, given that -2*t**5 - 12*t**4 + 2*t**3 + 76*t**2 - 64 = 0.
-4, -1, 1, 2
Factor 2*o**4/3 - 8*o**3/3 - 4*o**2 + 8*o/3 + 10/3.
2*(o - 5)*(o - 1)*(o + 1)**2/3
Factor -8*h**3 + 8986*h**2 - 2520008*h - 1895064.
-2*(h - 562)**2*(4*h + 3)
Find u, given that -2*u**4/5 - 14*u**3/5 - 26*u**2/5 + 6*u/5 + 36/5 = 0.
-3, -2, 1
Find a such that -a**2/8 + 145*a/8 = 0.
0, 145
Factor y**3/4 - 5*y**2/2 + 8*y - 8.
(y - 4)**2*(y - 2)/4
Let -25*h**4/4 + 395*h**3/4 - 76*h**2 + 15*h = 0. What is h?
0, 2/5, 15
Factor -2*l**2 - 14*l - 20.
-2*(l + 2)*(l + 5)
Factor k**4/5 + 42*k**3/5 - 44*k**2/5 - 42*k/5 + 43/5.
(k - 1)**2*(k + 1)*(k + 43)/5
Determine a so that -2*a**4 - 118*a**3 - 114*a**2 + 118*a + 116 = 0.
-58, -1, 1
Determine a, given that 4*a**4/3 + 52*a**3/3 - 24*a**2 - 208*a/3 + 224/3 = 0.
-14, -2, 1, 2
Find b such that 2*b**2 + 1386*b + 1384 = 0.
-692, -1
Determine k, given that 5*k**2 - 340*k - 700 = 0.
-2, 70
What is g in -2*g**2/9 - 32*g/9 - 10/3 = 0?
-15, -1
Suppose 15*b**3 - 6786*b**2 + 768852*b - 306456 = 0. Calculate b.
2/5, 226
Determine m so that m**2 - 2566*m + 1646089 = 0.
1283
Suppose -3*t**2 + 15*t = 0. What is t?
0, 5
Find g such that -g**2/2 - 79*g = 0.
-158, 0
Suppose b**5/5 - 24*b**4/5 + 161*b**3/5 - 38*b**2/5 - 1632*b/5 - 1408/5 = 0. Calculate b.
-2, -1, 8, 11
Factor -3*n**3 - 894*n**2.
-3*n**2*(n + 298)
Determine j, given that -4*j**4 - 176*j**3 - 2088*j**2 - 3024*j + 5292 = 0.
-21, -3, 1
Factor -m**3/2 - 25*m**2/2 + 13*m.
-m*(m - 1)*(m + 26)/2
Factor 3*l**3 - 18*l**2 + 33*l - 18.
3*(l - 3)*(l - 2)*(l - 1)
Let -i**4 - i**3 + 31*i**2 - 71*i + 42 = 0. What is i?
-7, 1, 2, 3
Determine m, given that m**5/2 + 6*m**4 - 35*m**3 - 46*m**2 + 69*m/2 + 40 = 0.
-16, -1, 1, 5
Determine l so that 2*l**5/19 - 36*l**4/19 + 172*l**3/19 + 112*l**2/19 - 1470*l/19 - 1372/19 = 0.
-2, -1, 7
Factor 5*j**2 - 30*j + 45.
5*(j - 3)**2
Let -12*i**4 + 44*i**3 + 16*i**2 = 0. What is i?
-1/3, 0, 4
Find h, given that 4*h**2 - 24*h - 640 = 0.
-10, 16
Find k, given that -2*k**5/3 - 8*k**4/3 - 8*k**3/3 + 4*k**2/3 + 10*k/3 + 4/3 = 0.
-2, -1, 1
Factor 2*q**4/23 + 2*q**3/23 - 20*q**2/23 + 16*q/23.
2*q*(q - 2)*(q - 1)*(q + 4)/23
Factor -t**4/3 - 194*t**3/3 - 9409*t**2/3.
-t**2*(t + 97)**2/3
Suppose 2*r**3/9 - 284*r**2/9 + 368*r/3 = 0. Calculate r.
0, 4, 138
Solve 8*t**4 - 284*t**3 + 140*t**2 = 0 for t.
0, 1/2, 35
Factor -3*t**2/4 + 459*t/4 - 453/2.
-3*(t - 151)*(t - 2)/4
Suppose -5*z**4/3 - 310*z**3/3 - 1600*z**2 + 310*z/3 + 4805/3 = 0. What is z?
-31, -1, 1
Let -7*o**4/2 - 103*o**3/2 - 495*o**2/2 - 725*o/2 + 125 = 0. What is o?
-5, 2/7
Factor 5*u**4 - 60*u**3 - 90*u**2 + 340*u - 195.
5*(u - 13)*(u - 1)**2*(u + 3)
Solve c**4/11 + 194*c**3/11 - 4*c**2/11 - 776*c/11 = 0 for c.
-194, -2, 0, 2
Let 2*f**2/25 - 126*f/25 + 124/25 = 0. Calculate f.
1, 62
Suppose -3*m**2/7 - 4302*m/7 - 1542267/7 = 0. Calculate m.
-717
Factor 4*f**4 + 1712*f**3 + 188248*f**2 + 1083696*f + 1602756.
4*(f + 3)**2*(f + 211)**2
Let -4*x**4 - 28*x**3 - 24*x**2 + 128*x + 128 = 0. Calculate x.
-4, -1, 2
Factor -2*j**2/13 - 44*j/13 + 46/13.
-2*(j - 1)*(j + 23)/13
Find j such that 3*j**4/2 + 18*j**3 - 39*j**2/2 = 0.
-13, 0, 1
Factor 20*v**3/9 - 4*v**2/3 - 20*v/9 + 4/3.
4*(v - 1)*(v + 1)*(5*v - 3)/9
Determine r so that 5*r**2 + 1940*r + 188180 = 0.
-194
Factor 124*y**2/3 + 1115*y/3 - 3.
(y + 9)*(124*y - 1)/3
Let -j**2/4 + 661*j/2 - 436921/4 = 0. Calculate j.
661
Factor -x**2/5 - 256*x/5 - 16384/5.
-(x + 128)**2/5
Factor 867*l**3 - 865*l**2 - 1736*l - 4.
(l - 2)*(l + 1)*(867*l + 2)
Factor 4*c**3 + 40*c**2 + 100*c.
4*c*(c + 5)**2
Suppose u**3 - 11*u**2 - 25*u - 13 = 0. Calculate u.
-1, 13
Let -q**5 + 15*q**4 - 90*q**3 + 270*q**2 - 405*q + 243 = 0. What is q?
3
Factor 2*m**4/3 + 6*m**3 + 44*m**2/3 - 64/3.
2*(m - 1)*(m + 2)*(m + 4)**2/3
Find t, given that -3*t**4/5 - 39*t**3/5 - 36*t**2 - 336*t/5 - 192/5 = 0.
-4, -1
Determine p, given that p**3/4 - 5*p**2/4 = 0.
0, 5
Solve c**5/10 - c**4/5 - 4*c**3/5 - c**2/5 + 7*c/10 + 2/5 = 0 for c.
-1, 1, 4
Determine f, given that -2*f**2 + 10*f + 12 = 0.
-1, 6
Determine m so that -m**4/10 + 2*m**3/5 - m**2/10 - 3*m/5 = 0.
-1, 0, 2, 3
Let -8*c**3/17 - 10*c**2/17 + 44*c/17 - 26/17 = 0. Calculate c.
-13/4, 1
Let 21*z**5/2 + 51*z**4/2 - 270*z**3 + 438*z**2 - 168*z = 0. What is z?
-7, 0, 4/7, 2
Find u such that 19*u**4 + 1005*u**3 + 12719*u**2 - 15201*u + 1458 = 0.
-27, 2/19, 1
Factor -h**5 + 10*h**4 - 30*h**3 + 40*h**2 - 25*h + 6.
-(h - 6)*(h - 1)**4
Solve -12*k**4 - 736*k**3 - 3596*k**2 - 632*k + 2240 = 0 for k.
-56, -5, -1, 2/3
Factor -3*n**3/4 + 27*n**2 + 225*n/4 + 57/2.
-3*(n - 38)*(n + 1)**2/4
Factor -18*q**4/7 - 94*q**3/7 - 20*q**2/7.
-2*q**2*(q + 5)*(9*q + 2)/7
Factor 3*v**3 + 66*v**2 - 75*v - 138.
3*(v - 2)*(v + 1)*(v + 23)
Let j**2/2 + 159*j/2 = 0. What is j?
-159, 0
Factor -2*j**3/9 - 4186*j**2/3 - 2191022*j - 19706642/9.
-2*(j + 1)*(j + 3139)**2/9
Let 450*l**3 - 6870*l**2 + 1808*l - 120 = 0. Calculate l.
2/15, 15
Factor -4*i**4 + 20*i**3 - 24*i**2 - 16*i + 32.
-4*(i - 2)**3*(i + 1)
Factor -5*b**3 + 85*b**2 - 435*b + 675.
-5*(b - 9)*(b - 5)*(b - 3)
Factor 3*f**5 - 69*f**4 + 1119*f**3/4 + 2691*f**2/2 + 4563*f/4.
3*f*(f - 13)**2*(2*f + 3)**2/4
Factor -5*t**3 - 15*t**2 + 120*t - 140.
-5*(t - 2)**2*(t + 7)
Factor -4*r**4 + 52*r**3 - 108*r**2 - 388*r - 224.
-4*(r - 8)*(r - 7)*(r + 1)**2
Factor d**2/5 + 162*d/5 - 167.
(d - 5)*(d + 167)/5
Determine g, given that 27*g**5 - 63*g**4 - 492*g**3 + 708*g**2 - 240*g = 0.
-4, 0, 2/3, 5
Suppose 3*u**5 + 9*u**4 - 27*u**3 + 15*u**2 = 0. Calculate u.
-5, 0, 1
Let -3*v**4 + 465*v**3 - 18249*v**2 + 17787*v = 0. What is v?
0, 1, 77
Let -z**3/7 - 232*z**2/7 - 13456*z/7 = 0. Calculate z.
-116, 0
Factor -u**2/3 - 595*u/3 - 