 + 15*h**3/2 + 29*h**2/2 + 21*h/2 + 5/2.
(h + 1)**2*(h + 5)*(2*h + 1)/2
Suppose -v**3/5 + 263*v**2/5 - 3432*v - 17424/5 = 0. What is v?
-1, 132
Determine b so that 2*b**2/9 - 80*b/9 = 0.
0, 40
Factor 3*u**2 - 38274*u + 122074923.
3*(u - 6379)**2
What is r in -5*r**4 - 75*r**3 + 205*r**2 + 615*r + 340 = 0?
-17, -1, 4
Factor -2*z**3/13 - 30*z**2/13 + 2*z/13 + 30/13.
-2*(z - 1)*(z + 1)*(z + 15)/13
Determine z so that 2*z**4 - 246*z**3 + 10086*z**2 - 137842*z = 0.
0, 41
Solve -2*r**5 - 16*r**4 - 44*r**3 - 48*r**2 - 18*r = 0 for r.
-3, -1, 0
Factor 35*u**2 + 230*u - 105.
5*(u + 7)*(7*u - 3)
Find k such that -100*k**4 - 17120*k**3 + 13744*k**2 - 2752*k = 0.
-172, 0, 2/5
Suppose l**4/9 + 16*l**3/9 + 17*l**2/9 - 166*l/9 - 56/3 = 0. Calculate l.
-14, -4, -1, 3
Let -10*x**4 - 65*x**3 + 130*x**2 + 65*x - 120 = 0. Calculate x.
-8, -1, 1, 3/2
Determine h, given that -9*h**5 - 102*h**4 + 450*h**3 - 648*h**2 + 399*h - 90 = 0.
-15, 2/3, 1
Suppose -2*n**4/3 - 2*n**3 + 160*n**2 - 2432*n/3 = 0. What is n?
-19, 0, 8
Determine k so that 5*k**4/6 - 215*k**3/2 + 21745*k**2/6 - 20265*k/2 + 6615 = 0.
1, 2, 63
Suppose -2*a**4/5 - 22*a**3/5 - 66*a**2/5 - 2*a + 20 = 0. Calculate a.
-5, -2, 1
Determine l, given that -3*l**5 + 18*l**4 + 21*l**3 - 264*l**2 + 468*l - 240 = 0.
-4, 1, 2, 5
Determine g so that -g**4 - 8*g**3 + 9*g**2 + 108*g - 108 = 0.
-6, 1, 3
Solve -2*x**3/3 - 6*x**2 + 32*x/3 + 40 = 0.
-10, -2, 3
Factor -2*z**5 + 4*z**4 + 6*z**3.
-2*z**3*(z - 3)*(z + 1)
Factor 3*c**4 + 15*c**3 + 27*c**2 + 21*c + 6.
3*(c + 1)**3*(c + 2)
Factor -4*r**3 - 16*r**2 + 656*r + 1344.
-4*(r - 12)*(r + 2)*(r + 14)
Factor -2*k**3/7 + 34*k**2/7 - 94*k/7 - 130/7.
-2*(k - 13)*(k - 5)*(k + 1)/7
Determine b, given that 80*b**3/3 + 14200*b**2 + 7095*b + 2660/3 = 0.
-532, -1/4
Determine c, given that -5*c**4 - 120*c**3 + 395*c**2 - 270*c = 0.
-27, 0, 1, 2
Determine s, given that -2*s**2/9 - 1124*s - 1421298 = 0.
-2529
Factor -2*y**4/11 + 3840*y**3/11 - 2764800*y**2/11 + 884736000*y/11 - 106168320000/11.
-2*(y - 480)**4/11
Factor 2*f**2 + 2596*f.
2*f*(f + 1298)
Factor x**2/5 + 92*x + 10580.
(x + 230)**2/5
Factor -r**3/2 + 30*r**2 - 59*r/2.
-r*(r - 59)*(r - 1)/2
Factor -4*w**3/5 + 56*w**2/5 + 16*w/5 - 224/5.
-4*(w - 14)*(w - 2)*(w + 2)/5
Factor -2*a**4 + 28*a**3 - 24*a**2 - 540*a - 486.
-2*(a - 9)**2*(a + 1)*(a + 3)
Factor -326*h**3 - 4561*h**2 - 15932*h + 147.
-(h + 7)**2*(326*h - 3)
Factor -2*i**3/13 + 22*i**2/13 + 64*i - 10752/13.
-2*(i - 16)**2*(i + 21)/13
Find g, given that g**5/2 + 79*g**4/4 - 605*g**3/4 - 161*g**2/2 = 0.
-46, -1/2, 0, 7
Factor -5*f**4 + 175*f**3 + 960*f**2 + 1580*f + 800.
-5*(f - 40)*(f + 1)*(f + 2)**2
Factor -w**2 - 50*w - 184.
-(w + 4)*(w + 46)
Factor -84*n**2 - 38*n - 4.
-2*(6*n + 1)*(7*n + 2)
Factor 2*p**3 - 546*p**2 - 2208*p - 2216.
2*(p - 277)*(p + 2)**2
Determine o, given that -2*o**2 + 8*o - 8 = 0.
2
Factor -2*w**2/7 - 86*w/7.
-2*w*(w + 43)/7
Factor 15*x**2 - 1700*x - 1140.
5*(x - 114)*(3*x + 2)
Solve -4*z**2 - 2024*z - 256036 = 0 for z.
-253
Factor i**3/9 + 7*i**2/3 + 98*i/9 + 40/3.
(i + 2)*(i + 4)*(i + 15)/9
Suppose -2*q**3/5 - 552*q**2 - 253920*q - 38934400 = 0. Calculate q.
-460
Factor -76*x**3 + 9724*x**2 + 512*x.
-4*x*(x - 128)*(19*x + 1)
Find s, given that -2*s**3/13 - 528*s**2/13 + 2*s/13 + 528/13 = 0.
-264, -1, 1
Solve -p**5/2 + p**4/2 + 7*p**3/2 - 13*p**2/2 + 3*p = 0 for p.
-3, 0, 1, 2
Solve -2*c**4/3 - 5*c**3/3 + 5*c/3 + 2/3 = 0.
-2, -1, -1/2, 1
Factor v**4/4 - 27*v**3/4 - 87*v**2/4 - 89*v/4 - 15/2.
(v - 30)*(v + 1)**3/4
Factor 4*n**3 - 8*n**2 - 52*n - 40.
4*(n - 5)*(n + 1)*(n + 2)
Factor -2*f**4/7 - 50*f**3 - 16766*f**2/7 - 124002*f/7.
-2*f*(f + 9)*(f + 83)**2/7
Determine k so that -3*k**3/4 + 111*k**2/4 - 1269*k/4 + 4617/4 = 0.
9, 19
Factor 3*x**4 - 39*x**3 + 144*x**2 - 108*x.
3*x*(x - 6)**2*(x - 1)
Determine f, given that 5*f**2 - 170*f + 1445 = 0.
17
Find q, given that 100*q**4 + 420*q**3 - 1784*q**2 + 1200*q - 224 = 0.
-7, 2/5, 2
Determine d so that d**3/2 + 165*d**2/2 + 82*d = 0.
-164, -1, 0
Suppose 4778*y**3 - 4*y**2 = 0. Calculate y.
0, 2/2389
Determine y so that -5*y**5 - 130*y**4 + 155*y**3 + 520*y**2 - 540*y = 0.
-27, -2, 0, 1, 2
Determine q, given that 2*q**4/3 + 2*q**3/3 - 32*q**2/3 - 32*q/3 = 0.
-4, -1, 0, 4
Factor 54*t**4 + 278*t**3 + 256*t**2 + 32*t.
2*t*(t + 1)*(t + 4)*(27*t + 4)
Factor -7*u**2/3 + 37*u/3 - 12.
-(u - 4)*(7*u - 9)/3
Factor j**2 + 696*j + 695.
(j + 1)*(j + 695)
Find g such that 3*g**5 - 45*g**4 - 57*g**3 + 129*g**2 + 234*g + 96 = 0.
-1, 2, 16
What is h in -h**4 - 12*h**3 - 19*h**2 + 12*h + 20 = 0?
-10, -2, -1, 1
Factor 2*k**4 + 23*k**3 + 49*k**2 + 37*k + 9.
(k + 1)**2*(k + 9)*(2*k + 1)
Factor 2*g**3 - 118*g**2 + 1182*g - 2538.
2*(g - 47)*(g - 9)*(g - 3)
Determine i, given that -i**2/4 + 61*i/2 - 3721/4 = 0.
61
Suppose -s**5 - 17*s**4 - 44*s**3 - 28*s**2 = 0. Calculate s.
-14, -2, -1, 0
Solve -3*r**3 - 57*r**2/2 - 75*r/2 - 12 = 0.
-8, -1, -1/2
Factor -61*s**2 - 120*s + 4.
-(s + 2)*(61*s - 2)
Solve 5*z**4 + 105*z**3 + 270*z**2 = 0 for z.
-18, -3, 0
Determine z, given that 4*z**4 + 9*z**3 + z**2 - 9*z - 5 = 0.
-5/4, -1, 1
Determine a, given that -2401*a**5/6 - 45619*a**4/2 - 1279831*a**3/3 - 2484405*a**2 + 5048325*a/2 + 820125/2 = 0.
-135/7, -1/7, 1
Let -2*z**5/3 + 8*z**4/3 - 10*z**3/3 + 4*z**2/3 = 0. Calculate z.
0, 1, 2
Find o such that -3*o**4/7 - 66*o**3/7 - 432*o**2/7 - 654*o/7 + 165 = 0.
-11, -7, -5, 1
Let 5*c**4 + 20*c**3 - 65*c**2 - 140*c + 300 = 0. Calculate c.
-5, -3, 2
Factor -2*h**5 - 24*h**4 - 96*h**3 - 160*h**2 - 96*h.
-2*h*(h + 2)**3*(h + 6)
Solve -4*q**5 - 448*q**4 - 12544*q**3 = 0 for q.
-56, 0
Factor 5*s**3 - 140*s**2 + 980*s.
5*s*(s - 14)**2
Suppose k**5/7 + 5*k**4/7 - 5*k**3/7 - 45*k**2/7 + 108/7 = 0. Calculate k.
-3, 2
Solve a**4 - 81*a**3 + 1599*a**2 + 1681*a = 0 for a.
-1, 0, 41
Suppose 578*p**4/5 + 1836*p**3/5 + 176*p**2 - 1836*p/5 - 1458/5 = 0. What is p?
-27/17, -1, 1
Find h such that -2*h**2/7 - 22*h/7 = 0.
-11, 0
Factor 3*x**3 - 4815*x**2.
3*x**2*(x - 1605)
Factor 5*q**2/6 + 10*q + 30.
5*(q + 6)**2/6
Factor 2*z**2/5 + 162*z/5 + 152.
2*(z + 5)*(z + 76)/5
Factor -2*h**4 + 12*h**3 - 6*h**2 - 20*h.
-2*h*(h - 5)*(h - 2)*(h + 1)
Determine k so that 8*k**2 + 36*k - 20 = 0.
-5, 1/2
Factor -4*o**3/5 + 5872*o**2/5 - 429828*o - 864360.
-4*(o - 735)**2*(o + 2)/5
Factor -3*r**3/5 - 3*r**2/5 + 3*r/5 + 3/5.
-3*(r - 1)*(r + 1)**2/5
Factor 3*r**3/2 + 3*r**2 - 45*r/2.
3*r*(r - 3)*(r + 5)/2
Factor -3*p**3/4 - 1929*p**2/4.
-3*p**2*(p + 643)/4
Factor -t**2 - 860*t + 1724.
-(t - 2)*(t + 862)
Factor 3*l**3/5 - 6*l**2 + 84*l/5 - 72/5.
3*(l - 6)*(l - 2)**2/5
Factor -2*g**3 + 12*g**2 + 32*g.
-2*g*(g - 8)*(g + 2)
Factor 4*z**2 + 680*z.
4*z*(z + 170)
Factor n**2 + 50*n + 561.
(n + 17)*(n + 33)
What is k in 4*k**2 + 2336*k + 341056 = 0?
-292
Factor 3*n**3 + 12*n**2 - 153*n + 270.
3*(n - 3)**2*(n + 10)
Find n such that -n**3 - 19*n**2 - 16*n + 36 = 0.
-18, -2, 1
Let n**2/2 + 297*n/2 + 148 = 0. What is n?
-296, -1
Factor -v**3 + 54*v**2 - 473*v.
-v*(v - 43)*(v - 11)
Determine q, given that 2*q**2/5 + 176*q/5 + 174/5 = 0.
-87, -1
Let -q**2/6 + 3757*q/3 - 14115049/6 = 0. What is q?
3757
Determine u so that u**4 + 3*u**3 - 144*u**2 + 140*u = 0.
-14, 0, 1, 10
Suppose -2*a**4/9 - 8*a**3/9 - 10*a**2/9 - 4*a/9 = 0. What is a?
-2, -1, 0
Factor 153228*s**2/7 - 4068*s/7 + 27/7.
3*(226*s - 3)**2/7
Factor v**2/6 - 19*v/2 + 27.
(v - 54)*(v - 3)/6
Find r, given that 2*r**2 + 108*r + 106 = 0.
-53, -1
Solve -2*v**5 - 556*v**4 - 37514*v**3 + 156792*v**2 - 159048*v = 0.
-141, 0, 2
Determine q, given that -3*q**2/5 - 6*q - 48/5 = 0.
-8, -2
Suppose 2*v**4/3 + 10*v**3 - 118*v**2 + 322*v/3 = 0. What is v?
-23, 0, 1, 7
Factor -48*b**5 + 60*b**4 + 63*b**3 + 69*b**2/4 + 3*b/2.
-3*b*(b - 2)*(4*b + 1)**3/4
Solve s**2 + 412*s + 820 = 0 for s.
-410, -2
Suppose f**4/2 + 2*f**3/3 - 25*f**2/6 + 13*f/3 - 4/3 = 0. What is f?
-4, 2/3, 1
Factor 2*n**2 - 302*n + 596.
2*(n - 149)*(n - 2)
What is c in -2*c**3/9 - 1342*c**2/9 - 5344*c/9 - 5336/9 = 0?
-667, -2
Solve -2*f**5/5 + 6*f**4/5 + 2*f**3/5 - 14*f**2/5 + 8/5 = 0 for f.
-1, 1, 2
Suppose 21*i**4 - 99*i**3 + 96*i**2 + 36*i = 0. Calculate i.
-2/7, 0, 2, 3
Factor 3*u**3 - 225*u**2 - 936*u - 948.
3*(u - 79)*(u + 2)**2
Factor -4*q**5/5 - 32*q**4/5 - 28*q**3/5.
-4*q**3*(q + 1)*(q + 7)/5
Factor -5*i**2 - 85*i + 300