
What is p in p**4/2 - 119*p**3/2 + 4797*p**2/2 - 68445*p/2 + 59319 = 0?
2, 39
Factor 4*i**4 + 36*i**3 - 44*i**2 - 36*i + 40.
4*(i - 1)**2*(i + 1)*(i + 10)
Factor 4*j**2/5 - 1108*j/5 - 1112/5.
4*(j - 278)*(j + 1)/5
Factor m**2/5 + 198*m/5 + 197/5.
(m + 1)*(m + 197)/5
Factor 10*b**2 - 135*b - 70.
5*(b - 14)*(2*b + 1)
Factor -2*l**2/3 - 3340*l/3 - 1394450/3.
-2*(l + 835)**2/3
Suppose p**3/2 + 16*p**2 + 229*p/2 + 99 = 0. What is p?
-22, -9, -1
Factor 2*b**3/11 - 30*b**2/11 + 16*b/11 + 168/11.
2*(b - 14)*(b - 3)*(b + 2)/11
Suppose q**4/2 + 177*q**3/2 + 525*q**2/2 + 523*q/2 + 87 = 0. Calculate q.
-174, -1
Factor -3*k**2 + 21*k - 30.
-3*(k - 5)*(k - 2)
Factor -18*n**3 - 1408*n**2 - 312*n.
-2*n*(n + 78)*(9*n + 2)
Factor 2*d**3 - 20*d**2 - 8*d + 80.
2*(d - 10)*(d - 2)*(d + 2)
Find q, given that 2*q**2/3 - 154*q/3 - 316/3 = 0.
-2, 79
Suppose 2*c**4/11 + 10*c**3/11 + 12*c**2/11 - 8*c/11 - 16/11 = 0. What is c?
-2, 1
Factor -4*c**4 - 56*c**3 - 140*c**2 - 88*c.
-4*c*(c + 1)*(c + 2)*(c + 11)
Solve 9*u**5 - 39*u**4 + 39*u**3 + 27*u**2 - 48*u + 12 = 0 for u.
-1, 1/3, 1, 2
Let c**2 - 5*c - 36 = 0. Calculate c.
-4, 9
Factor -c**2/4 - 705*c/2 - 497025/4.
-(c + 705)**2/4
Let 2*q**2/3 - 1300*q/3 + 1298/3 = 0. What is q?
1, 649
Factor 3*q**5/5 - 39*q**4/5 + 69*q**3/5 - 33*q**2/5.
3*q**2*(q - 11)*(q - 1)**2/5
Suppose 2*j**5/9 - 92*j**4/9 + 164*j**3 - 10808*j**2/9 + 36554*j/9 - 15092/3 = 0. What is j?
3, 7, 22
Factor 5*i**4/4 - 16495*i**3/2 + 18141750*i**2 - 26619983505*i/2 + 53167432995/4.
5*(i - 2199)**3*(i - 1)/4
Let 4*p**5 - 8*p**4 - 4*p**3 + 8*p**2 = 0. What is p?
-1, 0, 1, 2
Factor -19*d**4/4 - 97*d**3/4 - 5*d**2/2.
-d**2*(d + 5)*(19*d + 2)/4
Factor 3*x**3/2 + 33*x**2/2 - 1323*x/2 + 7047/2.
3*(x - 9)**2*(x + 29)/2
Find k, given that -4*k**3 + 316*k**2 - 6688*k + 17328 = 0.
3, 38
What is j in -j**5 + 11*j**4 + 7*j**3 - 155*j**2 - 150*j = 0?
-3, -1, 0, 5, 10
Suppose -2*c**2/9 - 1676*c/9 - 186 = 0. Calculate c.
-837, -1
Factor 2*n**2/9 - 2732*n/9 + 5456/9.
2*(n - 1364)*(n - 2)/9
What is i in 5*i**4 - 45*i**3 - 15*i**2 + 145*i - 90 = 0?
-2, 1, 9
Let 5*u**3 - 220*u**2 + 995*u - 780 = 0. What is u?
1, 4, 39
Factor -2*o**2/7 - 14*o.
-2*o*(o + 49)/7
Solve 3*i**2/4 - 9*i/2 - 54 = 0.
-6, 12
Factor -2*l**4 + 12*l**3 + 504*l**2 + 2548*l + 2058.
-2*(l - 21)*(l + 1)*(l + 7)**2
Solve -2*c**3 - 58*c**2 - 390*c + 450 = 0.
-15, 1
Factor 5*h**3/4 + 3*h**2 - 9*h - 4.
(h - 2)*(h + 4)*(5*h + 2)/4
Suppose 363*r**3 + 1320*r**2 + 1200*r = 0. Calculate r.
-20/11, 0
Suppose 6*b**4 + 28*b**3 + 10*b**2 - 28*b - 16 = 0. Calculate b.
-4, -1, -2/3, 1
Let 3*r**3/7 - 36*r**2/7 - 108*r/7 + 48 = 0. Calculate r.
-4, 2, 14
Solve -2*l**3/17 - 78*l**2/17 - 720*l/17 - 1944/17 = 0.
-27, -6
Factor x**2/3 + 23*x/3 + 20.
(x + 3)*(x + 20)/3
Solve 14*x**3/9 - 38*x**2/9 + 34*x/9 - 10/9 = 0 for x.
5/7, 1
Determine b, given that -27*b**3 - 264*b**2 - 588*b + 144 = 0.
-6, -4, 2/9
Solve 9*n**5/2 + 132*n**4 + 432*n**3 - 7800*n**2 + 16632*n - 7776 = 0 for n.
-18, 2/3, 2, 4
Factor -5*l**4 - 90*l**3 - 480*l**2 - 640*l.
-5*l*(l + 2)*(l + 8)**2
Factor 60*y**2 - 38*y - 10.
2*(5*y + 1)*(6*y - 5)
Let -2*n**3 - 2466*n**2 - 4926*n - 2462 = 0. Calculate n.
-1231, -1
Factor 2*j**2/3 - 34*j/3 + 48.
2*(j - 9)*(j - 8)/3
Factor -2*t**3/23 + 90*t**2/23 - 1056*t/23 + 968/23.
-2*(t - 22)**2*(t - 1)/23
Factor -3*t**4 + 21*t**3 + 42*t**2 - 144*t.
-3*t*(t - 8)*(t - 2)*(t + 3)
Solve -3*b**5/4 + 63*b**4/2 + 201*b**3/2 + 36*b**2 - 399*b/4 - 135/2 = 0.
-2, -1, 1, 45
Suppose -3*t**3 + 99*t**2 - 1089*t + 3993 = 0. Calculate t.
11
Factor -4*b**2 + 204*b + 1120.
-4*(b - 56)*(b + 5)
What is y in -2*y**4/7 + 30*y**3/7 - 18*y**2 + 170*y/7 - 72/7 = 0?
1, 4, 9
Factor 72*t**3/5 + 699*t**2/5 + 461*t/5 + 18/5.
(t + 9)*(3*t + 2)*(24*t + 1)/5
Factor -2*o**3/15 + 76*o**2/15 - 458*o/15 + 248/5.
-2*(o - 31)*(o - 4)*(o - 3)/15
What is j in 2*j**5/17 - 250*j**4/17 + 1682*j**3/17 - 3566*j**2/17 + 3076*j/17 - 944/17 = 0?
1, 4, 118
Factor -3*h**4 - 156*h**3 - 1098*h**2 + 24180*h - 72075.
-3*(h - 5)**2*(h + 31)**2
Factor 2*c**2 + 180*c - 368.
2*(c - 2)*(c + 92)
Suppose -x**3/6 - 15*x**2 - 567*x/2 = 0. What is x?
-63, -27, 0
Let 3*q**2 - 39*q + 108 = 0. Calculate q.
4, 9
Find a such that 4*a**2 - 16*a - 20 = 0.
-1, 5
Suppose -4*i**3 - 22*i**2 + 40*i - 14 = 0. What is i?
-7, 1/2, 1
Factor -3*t**2/7 + 8877*t/7.
-3*t*(t - 2959)/7
Factor f**3 + 61*f**2/3 + 84*f - 196/3.
(f + 7)*(f + 14)*(3*f - 2)/3
What is u in u**5 - 21*u**4 - u**3 + 21*u**2 = 0?
-1, 0, 1, 21
Let -s**3 - 27*s**2 - 51*s - 25 = 0. What is s?
-25, -1
Factor 8*p**3/7 - 626*p**2/7 - 474*p/7.
2*p*(p - 79)*(4*p + 3)/7
Suppose -4*u**2 - 116*u - 792 = 0. What is u?
-18, -11
Solve -2*v**5/9 + 22*v**4/9 - 20*v**3/3 + 20*v**2/9 + 62*v/9 - 14/3 = 0 for v.
-1, 1, 3, 7
Let -6*q**5 - 2818*q**4 - 7466*q**3 + 2826*q**2 + 11200*q - 3736 = 0. What is q?
-467, -2, 1/3, 1
Find x such that 2*x**5/9 + 32*x**4/9 - 4*x**3 - 32*x**2/9 + 34*x/9 = 0.
-17, -1, 0, 1
Find g, given that 2*g**2/3 + 8*g - 26/3 = 0.
-13, 1
Suppose 3*q**2 + 456*q = 0. What is q?
-152, 0
Factor 2*h**2/9 - 2.
2*(h - 3)*(h + 3)/9
Find v such that v**2 - 381*v - 382 = 0.
-1, 382
Solve -4*h**4 + 60*h**3 - 216*h**2 - 432*h + 2592 = 0 for h.
-3, 6
Factor 3*h**3/5 + 9*h**2.
3*h**2*(h + 15)/5
Factor o**3 + 46*o**2 - 47*o.
o*(o - 1)*(o + 47)
Factor 2*f**2/13 + 196*f/13 + 4802/13.
2*(f + 49)**2/13
Solve -z**4 + 4*z**3 + 78*z**2 - 4*z - 77 = 0 for z.
-7, -1, 1, 11
Factor -4*s**2/5 - 697*s/5 + 105.
-(s + 175)*(4*s - 3)/5
Let -2*a**2 - 50*a - 308 = 0. What is a?
-14, -11
Solve 5*q**4 - 150*q**3 - 495*q**2 = 0.
-3, 0, 33
Solve -4*d**3 + 40*d**2 + 52*d - 88 = 0 for d.
-2, 1, 11
Factor t**4 + 7*t**3/5 + 2*t**2/5.
t**2*(t + 1)*(5*t + 2)/5
Solve 2*k**5/5 - 2*k**4 + 14*k**3/5 - 6*k**2/5 = 0 for k.
0, 1, 3
Suppose -2*h**4 + 32*h**3 - 180*h**2 + 432*h - 378 = 0. What is h?
3, 7
Factor -3*x**2 - 225*x - 222.
-3*(x + 1)*(x + 74)
Solve 5*z**4/2 - 620*z**3 + 75625*z**2/2 + 78125*z = 0.
-2, 0, 125
Factor -2*a**2/7 - 20*a - 138/7.
-2*(a + 1)*(a + 69)/7
Factor -15*j**3 - 2*j**2.
-j**2*(15*j + 2)
Suppose -4*y**5/5 + 4*y**4/5 + 16*y**3 + 64*y**2/5 - 256*y/5 - 64 = 0. What is y?
-2, 2, 5
What is x in 14*x**3 + 74*x**2 + 104*x + 24 = 0?
-3, -2, -2/7
Determine w so that 2*w**2/9 + 14*w = 0.
-63, 0
What is y in 2*y**2/15 - 1744*y/15 + 1742/15 = 0?
1, 871
Determine w, given that -12*w**3 + 112*w**2 - 36*w = 0.
0, 1/3, 9
Suppose 2*y**2 - 44*y - 46 = 0. What is y?
-1, 23
Factor 5*g**2 - 210*g - 215.
5*(g - 43)*(g + 1)
Determine t so that -5*t**3 + 3595*t**2 + 3600*t = 0.
-1, 0, 720
Solve -2187*y**3/4 + 81*y**2/2 - 3*y/4 = 0 for y.
0, 1/27
Factor -2*b**2/5 - 1864*b/5 - 434312/5.
-2*(b + 466)**2/5
Determine i, given that -3*i**2 + 147*i + 468 = 0.
-3, 52
Factor o**2/2 + o - 12.
(o - 4)*(o + 6)/2
Let -3*p**2/2 - p/4 + 7/4 = 0. What is p?
-7/6, 1
Solve 4*p**2 + 776*p = 0.
-194, 0
Find h, given that 2*h**4 + 6*h**3 - 32*h**2 + 24*h = 0.
-6, 0, 1, 2
Solve -10*g**4 + 105*g**3 + 65*g**2 - 105*g - 55 = 0.
-1, -1/2, 1, 11
Solve 2*m**2 - 18*m + 16 = 0.
1, 8
Determine q, given that -166*q**3/15 + 112*q**2/5 - 8*q/15 = 0.
0, 2/83, 2
Solve t**2 + 38*t - 123 = 0.
-41, 3
Let -b**2 + 14128*b - 49900096 = 0. What is b?
7064
Factor 2*v**2/7 - 34*v/7 + 32/7.
2*(v - 16)*(v - 1)/7
Factor 5*a**2 + 430*a + 3120.
5*(a + 8)*(a + 78)
Suppose 1795*d**4 - 1805*d**3 + 10*d**2 = 0. Calculate d.
0, 2/359, 1
Solve 3*m**3/4 - 13479*m**2/4 = 0 for m.
0, 4493
Factor 3*x**5 - 24*x**4 + 54*x**3 - 48*x**2 + 15*x.
3*x*(x - 5)*(x - 1)**3
Suppose -k**2/4 - 4749*k/2 - 22553001/4 = 0. Calculate k.
-4749
Factor -26*b**3 + 33*b**2 + 149*b - 42.
-(b - 3)*(b + 2)*(26*b - 7)
Factor -4*t**3 + 108*t**2 + 4*t - 108.
-4*(t - 27)*(t - 1)*(t + 1)
Determine t, given that 4*t**4 - 28*t**3 + 60*t**2 - 52*t + 16 = 0.
1, 4
Factor -u**4 - 10*u**3 + 63*u**2 + 648*u.
-u*(u - 8)*(u + 9)**2
Suppose 2*s**2/3 + 676*s/3 + 57122/3 = 0. What is s?
-169
Factor 228*q**2/7 - 52*q/7 - 8/7.
4*(3*q - 1)*(19*q + 2)/7
Factor -n**3 - 1589*n**2 - 630435*n + 632025.
-(n - 1)*(n + 795)**2
Let -4*y**3 + 8*y**2 + 84*y + 72 = 0. Calculate y.
-3, -1, 6
Factor -4*t**3/7 + 40*t**2/7.
-4*t**2*(t - 10)/7
Determine w, given that -182*w**3 + 102*w**2 + 72*w + 8 = 0.
-2/7, -2/13, 1
Determine q, given that q**4/4 + 31*q**3/2 - 195*q**2/4 + q + 65 = 0.
-65, -1, 2
What is f in