(z - 47)*(z - 19)/3
What is b in 4*b**4 - 36*b**3 + 92*b**2 - 60*b = 0?
0, 1, 3, 5
Factor -3*v**2/5 + 66*v/5 + 144/5.
-3*(v - 24)*(v + 2)/5
Let -8*o**4 + 18*o**3 + 4*o**2 - 18*o + 4 = 0. What is o?
-1, 1/4, 1, 2
Solve 2*a**4/7 - 120*a**3/7 + 1800*a**2/7 = 0 for a.
0, 30
Factor -5*u**3 - 420*u**2 - 9225*u - 16810.
-5*(u + 2)*(u + 41)**2
Let 4*q**3 - 30*q**2 + 32*q + 24 = 0. Calculate q.
-1/2, 2, 6
Suppose -u**5 - 31*u**4 - 255*u**3 - 225*u**2 = 0. What is u?
-15, -1, 0
Factor 5*w**2 - 11450*w + 6555125.
5*(w - 1145)**2
Factor 2*d**5 + 6*d**4 + 4*d**3.
2*d**3*(d + 1)*(d + 2)
Factor 5*o**2 - 65*o - 240.
5*(o - 16)*(o + 3)
Find s, given that 4*s**5 + 76*s**4 + 432*s**3 + 944*s**2 + 704*s = 0.
-11, -4, -2, 0
Factor 4*z**2 + 476*z - 968.
4*(z - 2)*(z + 121)
Find v such that -v**2/2 + 5*v/2 + 12 = 0.
-3, 8
Factor 2*v**5/11 - 6*v**4/11 + 4*v**3/11.
2*v**3*(v - 2)*(v - 1)/11
Factor 2*z**3/13 - 20*z**2/13 - 14*z/13 + 392/13.
2*(z - 7)**2*(z + 4)/13
Determine n so that -14*n**5 - 20*n**4 + 202*n**3/7 + 124*n**2/7 - 104*n/7 + 16/7 = 0.
-2, -1, 2/7, 1
Determine q, given that q**5/4 + 313*q**4/2 - q**3/2 - 313*q**2 + q/4 + 313/2 = 0.
-626, -1, 1
Determine q, given that q**2/8 + 481*q/8 - 241/4 = 0.
-482, 1
Solve -4*y**2 - 3760*y - 883600 = 0 for y.
-470
Find u such that 2*u**3 + 380*u**2 + 17664*u - 36864 = 0.
-96, 2
Determine i so that -10*i**4 - 225*i**3 + 355*i**2 - 120*i = 0.
-24, 0, 1/2, 1
Factor 2*c**2 + 18*c + 16.
2*(c + 1)*(c + 8)
Factor n**4/4 + 2*n**3 + 13*n**2/4 + 3*n/2.
n*(n + 1)**2*(n + 6)/4
Find b such that -3*b**5 + 75*b**4 - 72*b**3 = 0.
0, 1, 24
Factor -4*i**2 + 280*i - 544.
-4*(i - 68)*(i - 2)
Factor m**3/5 - 228*m**2/5 + 17328*m/5 - 438976/5.
(m - 76)**3/5
Determine n, given that -5*n**2/2 + 285*n/2 - 1175 = 0.
10, 47
Find p, given that -5*p**4 + 40*p**3 + 130*p**2 - 840*p - 2205 = 0.
-3, 7
Let u**4 + 14*u**3 - 31*u**2 + 16*u = 0. Calculate u.
-16, 0, 1
Solve 2*o**2/5 + 196*o/5 + 384/5 = 0 for o.
-96, -2
Let -3*t**2 - t/3 + 8/3 = 0. What is t?
-1, 8/9
Solve -168*j**4 - 76*j**3 + 664*j**2 + 304*j + 32 = 0.
-2, -2/7, -1/6, 2
Suppose 2*h**2 + 18*h/7 - 32/7 = 0. What is h?
-16/7, 1
What is i in -3*i**5 - 18*i**4 + 105*i**3 - 144*i**2 + 60*i = 0?
-10, 0, 1, 2
Suppose y**3 - 22*y**2 - 23*y = 0. What is y?
-1, 0, 23
Factor 2*n**5/9 + 16*n**4/9 + 16*n**3/3 + 64*n**2/9 + 32*n/9.
2*n*(n + 2)**4/9
Let -2*n**4/13 + 24*n**3/13 + 54*n**2/13 + 28*n/13 = 0. Calculate n.
-1, 0, 14
Factor 2*d**2/19 - 18*d/19 + 40/19.
2*(d - 5)*(d - 4)/19
Factor 3*y**5 + 72*y**4 - 621*y**3 - 10854*y**2 + 115668*y - 285768.
3*(y - 6)**3*(y + 21)**2
Factor 4*r**2 - 124*r - 408.
4*(r - 34)*(r + 3)
Find u such that 2*u**5/13 + 8*u**4/13 - 2*u**3 - 56*u**2/13 + 120*u/13 = 0.
-5, -3, 0, 2
Let n**2/2 - 13*n - 87/2 = 0. Calculate n.
-3, 29
Factor d**3/6 - 75*d**2/2 + 5625*d/2 - 140625/2.
(d - 75)**3/6
Determine k, given that -k**2/10 + 11*k/10 - 14/5 = 0.
4, 7
Suppose 2*d**4/5 + 12*d**3/5 - 56*d**2/5 - 204*d/5 + 126 = 0. What is d?
-7, -5, 3
Find a, given that 2*a**4 - 288*a**3 + 284*a**2 + 288*a - 286 = 0.
-1, 1, 143
Factor -2*k**3 - 84*k**2 - 312*k - 304.
-2*(k + 2)**2*(k + 38)
Determine t so that -2*t**5 + 6*t**4 + 2*t**3 - 22*t**2 + 24*t - 8 = 0.
-2, 1, 2
Suppose 5*z**2 + 17760*z + 15770880 = 0. What is z?
-1776
Determine i, given that 1682*i**3/9 - 2146*i**2/9 + 496*i/9 - 32/9 = 0.
4/29, 1
Suppose -5*k**2/2 - 1290*k + 2585/2 = 0. What is k?
-517, 1
Find m such that 2*m**5/5 + 96*m**4/5 + 1234*m**3/5 + 1732*m**2/5 - 4968*m/5 - 8464/5 = 0.
-23, -2, 2
Find s such that -2*s**3 + 524*s**2 + 1062*s - 1584 = 0.
-3, 1, 264
Suppose -w**3 - 28*w**2 - 125*w + 154 = 0. Calculate w.
-22, -7, 1
Factor 3*j**4 - 78*j**3 + 423*j**2 + 1092*j + 588.
3*(j - 14)**2*(j + 1)**2
Suppose -5*w**4 + 495*w**3 - 12960*w**2 + 34560*w = 0. What is w?
0, 3, 48
Factor 785*j**4 - 735*j**3 - 50*j**2.
5*j**2*(j - 1)*(157*j + 10)
Determine p so that 5*p**2 - 3150*p + 6280 = 0.
2, 628
Let -4*g**3 + 184*g**2 - 356*g + 176 = 0. Calculate g.
1, 44
Factor 4*t**4 - 4*t**3 - 132*t**2 - 236*t - 112.
4*(t - 7)*(t + 1)**2*(t + 4)
Let -180*l**4 - 24548*l**3 + 40168*l**2 - 17648*l + 2208 = 0. What is l?
-138, 2/9, 2/5, 1
Let -9*g**5 + 39*g**4/2 - 12*g**3 + 3*g**2/2 = 0. Calculate g.
0, 1/6, 1
Factor -5*p**4 - 100*p**3 + 870*p**2 - 1980*p + 1215.
-5*(p - 3)**2*(p - 1)*(p + 27)
What is n in -n**5/2 - 6*n**4 - 19*n**3 - 8*n**2 + 39*n/2 + 14 = 0?
-7, -4, -1, 1
Suppose -31*g**2 - 467*g - 30 = 0. What is g?
-15, -2/31
Factor 3*g**2 + 1272*g + 134832.
3*(g + 212)**2
Factor -4*u**5/7 - 4*u**4 + 68*u**3/7 - 36*u**2/7.
-4*u**2*(u - 1)**2*(u + 9)/7
Let 12*y**2 + 12*y + 3 = 0. Calculate y.
-1/2
Solve -t**2 + 2*t/3 + 16/3 = 0.
-2, 8/3
Factor 3*q**5 - 1038*q**4 + 88743*q**3 + 180612*q**2 + 90828*q.
3*q*(q - 174)**2*(q + 1)**2
Solve -2*z**5/9 - 4*z**4 - 56*z**3/3 - 308*z**2/9 - 82*z/3 - 8 = 0 for z.
-12, -3, -1
Determine g so that -5*g**4/4 - 61*g**3/2 - 553*g**2/4 - 193*g - 57 = 0.
-19, -3, -2, -2/5
Determine l so that 3*l**4 + 36*l**3 - 93*l**2 - 126*l = 0.
-14, -1, 0, 3
Factor -l**3 + 2*l**2 - l.
-l*(l - 1)**2
Find k such that -5*k**5 - 30*k**4 - 65*k**3 - 60*k**2 - 20*k = 0.
-2, -1, 0
Factor -a**2/6 - 313*a/3 + 1477/2.
-(a - 7)*(a + 633)/6
Factor -115*s**2 - 7*s.
-s*(115*s + 7)
Let 2*w**4/3 + 8*w**3 + 86*w**2/3 + 40*w + 56/3 = 0. Calculate w.
-7, -2, -1
Let -5*k**2 - 390*k - 5185 = 0. What is k?
-61, -17
Factor 12*h**5/5 + 3*h**4 - 18*h**3/5.
3*h**3*(h + 2)*(4*h - 3)/5
Suppose -12*y**5 - 164*y**4 - 340*y**3 + 2820*y**2 + 8512*y - 3136 = 0. Calculate y.
-7, -4, 1/3, 4
Let -147*m**5 + 2772*m**4 - 11283*m**3 + 19038*m**2 - 14580*m + 4200 = 0. What is m?
1, 10/7, 14
Let -30*q**3 - 363*q**2 - 996*q - 96 = 0. Calculate q.
-8, -4, -1/10
Let 4*v**4/5 - 24*v**3/5 = 0. What is v?
0, 6
Solve -5*r**4 - 27075*r**3 - 36666315*r**2 - 36639245*r = 0.
-2707, -1, 0
Let -14*g**3 - 5722*g**2 + 1636*g = 0. Calculate g.
-409, 0, 2/7
What is m in -2*m**5/9 + 2*m**4/9 + 10*m**3/9 - 10*m**2/9 - 8*m/9 + 8/9 = 0?
-2, -1, 1, 2
Find t, given that 5*t**4 - 10*t**3 - 60*t**2 + 200*t - 160 = 0.
-4, 2
Find x, given that -3*x**3/2 - 12*x**2 + 93*x/2 - 33 = 0.
-11, 1, 2
Find v, given that -2*v**3 + 180*v**2 - 174*v - 356 = 0.
-1, 2, 89
Factor -3*a**3 - 36*a**2 - 60*a.
-3*a*(a + 2)*(a + 10)
Factor -4*p**2 - 60*p + 64.
-4*(p - 1)*(p + 16)
Factor -t**4/4 + 17*t**3/4.
-t**3*(t - 17)/4
Factor -2*b**3/17 + 990*b**2/17 - 123006*b/17 + 122018/17.
-2*(b - 247)**2*(b - 1)/17
Suppose 512*c**3 + 1344*c**2 + 690*c + 100 = 0. Calculate c.
-2, -5/16
What is d in 8*d**5 - 2*d**4/3 - 12*d**3 + 2*d**2/3 + 4*d = 0?
-1, -2/3, 0, 3/4, 1
Factor -5*w**2 + 170*w + 175.
-5*(w - 35)*(w + 1)
Factor 2*m**3/5 + 2*m**2/5 - 4*m/5.
2*m*(m - 1)*(m + 2)/5
Find q, given that q**5 + 3*q**4 + q**3 - 3*q**2 - 2*q = 0.
-2, -1, 0, 1
Let -1705*c**2 - 5105*c/3 + 10/3 = 0. Calculate c.
-1, 2/1023
Find y such that -4*y**5/9 - 20*y**4/9 + 8*y**3/3 + 152*y**2/9 + 172*y/9 + 20/3 = 0.
-5, -1, 3
What is k in 3*k**4/5 - 12*k**2/5 = 0?
-2, 0, 2
Determine o, given that -4*o**3 + 92*o**2 - 172*o + 84 = 0.
1, 21
Suppose 3*p**4/2 - 3*p**3 - 9*p**2/2 = 0. What is p?
-1, 0, 3
Find v, given that -v**4 + 8*v**3 - 6*v**2 - 8*v + 7 = 0.
-1, 1, 7
Solve -3*s**5/2 + 21*s**4/2 + 3*s**3 - 21*s**2 - 3*s/2 + 21/2 = 0 for s.
-1, 1, 7
Factor 2*k**5/5 - 28*k**4/5 - 64*k**3 - 704*k**2/5.
2*k**2*(k - 22)*(k + 4)**2/5
Factor 5*i**4 + 140*i**3 + 395*i**2 - 4140*i.
5*i*(i - 4)*(i + 9)*(i + 23)
Determine o so that 2*o**4 + 56*o**3 + 54*o**2 = 0.
-27, -1, 0
Find c such that -c**2/2 - 9*c/2 + 11 = 0.
-11, 2
Factor f**4/2 + 13*f**3/2 - 45*f**2/2 + 47*f/2 - 8.
(f - 1)**3*(f + 16)/2
Determine d so that -d**4/2 + 16*d**3 + 181*d**2/2 + 74*d = 0.
-4, -1, 0, 37
Factor k**3/7 - 120*k**2/7 + 236*k/7.
k*(k - 118)*(k - 2)/7
Factor -u**2 + 2336*u - 1364224.
-(u - 1168)**2
Find p such that p**3 + 112*p**2 - 343*p + 230 = 0.
-115, 1, 2
Factor 5*c**4 - 65*c**3 - 100*c**2 + 420*c.
5*c*(c - 14)*(c - 2)*(c + 3)
Factor t**2/9 - 200*t/9 - 272/3.
(t - 204)*(t + 4)/9
Suppose -6*f**5/7 + 24*f**4/7 + 36*f**3/7 - 24*f**2/7 - 30*f/7 = 0. Calculate f.
-1, 0, 1, 5
Factor 2*k**2/17 + 12*k/17 - 54/17.
2*(k - 3)*(k + 9)/17
Solve -2*u**5/13 - 8*u**4/13 + 22*u**3/13 - 12*u**2/13 = 0.
-6, 0, 1
Factor 52*f**2/3 + 72*f + 32/3.
4*(f + 4)*(13*f + 2)/3
Determine r so that 2*r**2/