n*(n + 2)**2*(5*n - 1)/2
Suppose -6591*z**3/4 + 13689*z**2/2 - 9477*z + 4374 = 0. What is z?
18/13
Factor -6*f**3/11 + 108*f**2/11 + 258*f/11 - 360/11.
-6*(f - 20)*(f - 1)*(f + 3)/11
Let -3*i**4 + 51*i**3 - 132*i**2 + 84*i = 0. What is i?
0, 1, 2, 14
Determine d, given that -2*d**4 - 56*d**3 - 156*d**2 - 152*d - 50 = 0.
-25, -1
Solve 5*q**4 - 2*q**3 - 13*q**2 - 6*q = 0 for q.
-1, -3/5, 0, 2
What is b in -6*b**3/11 - 552*b**2/11 + 1128*b/11 = 0?
-94, 0, 2
Solve 5*v**5 - 35*v**4 + 30*v**3 + 110*v**2 - 35*v - 75 = 0.
-1, 1, 3, 5
Suppose -a**5/9 - 2*a**4/3 - 10*a**3/9 + 11*a/9 + 2/3 = 0. Calculate a.
-3, -2, -1, 1
Factor h**4/2 - 8*h**3 + 53*h**2/2 - 31*h + 12.
(h - 12)*(h - 2)*(h - 1)**2/2
Find d such that 9*d**3 + 57*d**2 + 60*d = 0.
-5, -4/3, 0
Factor 3*c**4 + 108*c**3 + 1194*c**2 + 3420*c - 4725.
3*(c - 1)*(c + 7)*(c + 15)**2
Let -2*d**2 + 36*d = 0. Calculate d.
0, 18
Factor -3*a**2/4 - 207*a - 14283.
-3*(a + 138)**2/4
Find z such that z**4 - 25*z**3 - 54*z**2 = 0.
-2, 0, 27
Factor 3*d**3 + 18*d**2 + 9*d - 30.
3*(d - 1)*(d + 2)*(d + 5)
Factor 5*p**5 - 45*p**4 + 90*p**3 + 20*p**2 - 120*p.
5*p*(p - 6)*(p - 2)**2*(p + 1)
Find u, given that -u**4/3 - 4*u**3 + 103*u**2/3 - 30*u = 0.
-18, 0, 1, 5
Factor -2*h**3/3 - 2912*h**2 - 3179904*h.
-2*h*(h + 2184)**2/3
Find i, given that i**2/4 + 2453*i/4 + 613 = 0.
-2452, -1
Factor 31*z**2 - 1862*z/3 + 40/3.
(z - 20)*(93*z - 2)/3
Suppose 8*z**5 + 28*z**4/3 - 92*z**3/3 - 112*z**2/3 - 16*z/3 = 0. Calculate z.
-2, -1, -1/6, 0, 2
Factor g**3 - 63*g**2 + 764*g + 828.
(g - 46)*(g - 18)*(g + 1)
Let -5*l**4 + 40*l**3 + 60*l**2 - 720*l = 0. What is l?
-4, 0, 6
Factor -4*m**3 - 3484*m**2 - 763840*m - 2260272.
-4*(m + 3)*(m + 434)**2
Solve 32*m**5/5 - 148*m**4/5 + 82*m**3/5 - 8*m**2/5 = 0 for m.
0, 1/8, 1/2, 4
Factor 3*a**4/2 + 17*a**3/2 + 9*a**2/2 - 5*a/2.
a*(a + 1)*(a + 5)*(3*a - 1)/2
Determine w, given that -20*w**4/3 - 76*w**3/3 + 44*w**2 + 44*w/3 - 80/3 = 0.
-5, -4/5, 1
Find l such that -l**2/4 - 459*l/2 - 210681/4 = 0.
-459
Factor -50*a**3/3 + 290*a**2/3 - 208*a/3 + 40/3.
-2*(a - 5)*(5*a - 2)**2/3
Factor u**5/6 + 33*u**4/2 - 67*u**3/2 + 101*u**2/6.
u**2*(u - 1)**2*(u + 101)/6
Let -4*l**2 - 3280*l = 0. Calculate l.
-820, 0
Factor 2*p**2/3 + 3764*p/3 + 1770962/3.
2*(p + 941)**2/3
Factor y**3/6 - 223*y**2/6 - 464*y - 1410.
(y - 235)*(y + 6)**2/6
Find q, given that -2*q**3 + 52*q**2 + 110*q + 56 = 0.
-1, 28
Suppose -3*c**3/2 - 153*c**2/2 - 2601*c/2 - 14739/2 = 0. What is c?
-17
Let -5*m**5 - 195*m**4 - 1800*m**3 + 2000*m**2 = 0. Calculate m.
-20, 0, 1
Find j such that 4*j**2 - 180*j - 3904 = 0.
-16, 61
Factor b**3 - b**2 - 6*b.
b*(b - 3)*(b + 2)
Let -3*h**5/5 - 33*h**4/5 - 93*h**3/5 - 63*h**2/5 = 0. What is h?
-7, -3, -1, 0
Determine o so that -5*o**2 - 15*o - 10 = 0.
-2, -1
Factor 3*v**2/7 - 11085*v/7.
3*v*(v - 3695)/7
Find t such that -2*t**5/11 - 164*t**4/11 - 4370*t**3/11 - 34664*t**2/11 + 83104*t/11 - 43904/11 = 0.
-28, 1
Suppose -4*q**2/3 - 112*q/3 + 116/3 = 0. Calculate q.
-29, 1
Factor -8*s**3 - 90*s**2 - 300*s - 250.
-2*(s + 5)**2*(4*s + 5)
Suppose -4*j**4/5 - 66*j**3/5 + 38*j**2/5 + 66*j/5 - 34/5 = 0. What is j?
-17, -1, 1/2, 1
What is k in k**2/9 + 4754*k/9 + 5650129/9 = 0?
-2377
What is h in -h**3 + 12*h**2 - 5*h - 66 = 0?
-2, 3, 11
Factor 5*r**4 - 17*r**3 + 16*r**2 - 4*r.
r*(r - 2)*(r - 1)*(5*r - 2)
Let 24*p**5/7 + 122*p**4/7 - 136*p**3/7 - 22*p**2/7 + 12*p/7 = 0. What is p?
-6, -1/3, 0, 1/4, 1
Factor -b**3 + 3*b**2 + 4*b.
-b*(b - 4)*(b + 1)
Find r, given that -2*r**4/9 - 4*r**3/3 + 16*r**2/3 + 448*r/9 + 256/3 = 0.
-4, 6
Let 5*g**2 - 90*g - 95 = 0. What is g?
-1, 19
Find j such that -4*j**5 - 1628*j**4 - 169656*j**3 - 812808*j**2 - 470340*j + 1454436 = 0.
-201, -3, 1
Solve 3*y**3/4 + 3*y**2/4 = 0 for y.
-1, 0
Solve -392*f**3/5 - 112*f**2 - 186*f/5 - 18/5 = 0 for f.
-1, -3/14
Let 5*y**3/2 - 135*y**2/2 + 405*y = 0. What is y?
0, 9, 18
Determine p, given that 27*p**4 + 126*p**3 - 5577*p**2/4 + 1815*p/4 - 75/2 = 0.
-10, 1/6, 5
Determine h, given that -h**4/4 - 41*h**3/4 - 399*h**2/4 + 441*h/4 = 0.
-21, 0, 1
Solve 3*m**3 + 9*m**2 - 12*m - 36 = 0 for m.
-3, -2, 2
Factor -2*w**4/7 - 54*w**3/7 - 486*w**2/7 - 1458*w/7.
-2*w*(w + 9)**3/7
Factor -r**3/3 + 2*r**2 + 61*r/3 - 70.
-(r - 10)*(r - 3)*(r + 7)/3
Factor m**2/2 - 20*m + 102.
(m - 34)*(m - 6)/2
Factor 2*q**4/7 - 80*q**3/7 + 78*q**2/7.
2*q**2*(q - 39)*(q - 1)/7
Find h such that -h**5 - 50*h**4 - 459*h**3 + 4094*h**2 - 8288*h + 4704 = 0.
-28, 1, 2, 3
Determine f so that 2*f**2/3 + 76*f - 464/3 = 0.
-116, 2
Factor -203*m**4 - 304*m**3 - 20*m**2.
-m**2*(7*m + 10)*(29*m + 2)
Solve -2*n**5/7 - 290*n**4/7 - 10652*n**3/7 - 9792*n**2/7 + 20736*n/7 = 0 for n.
-72, -2, 0, 1
Let -6*l**2 + 3*l = 0. What is l?
0, 1/2
Let -5*o**4 - 1285*o**3 - 81905*o**2 + 85785*o + 166410 = 0. What is o?
-129, -1, 2
Find f such that -2*f**2/5 + 2632*f/5 - 526 = 0.
1, 1315
What is d in -2*d**2 - 88*d - 86 = 0?
-43, -1
Suppose -2*c**5/11 - 28*c**4/11 + 32*c**3/11 + 28*c**2/11 - 30*c/11 = 0. Calculate c.
-15, -1, 0, 1
Factor o**2 + 428*o - 3488.
(o - 8)*(o + 436)
Suppose -5*z**3 + 90*z**2 + 95*z = 0. What is z?
-1, 0, 19
Let -2*l**3/7 + 18*l**2/7 + 32*l/7 - 120/7 = 0. What is l?
-3, 2, 10
Suppose n**2/4 - 79*n/4 - 174 = 0. Calculate n.
-8, 87
What is n in -3*n**2 + 1566*n + 1569 = 0?
-1, 523
Determine c, given that -c**3 - 5*c**2 - 4*c = 0.
-4, -1, 0
Suppose 2*s**2 - 24644*s + 75915842 = 0. Calculate s.
6161
Let -3*y**3/5 + 24*y**2/5 + 276*y + 1680 = 0. What is y?
-10, 28
Determine o so that -18*o**3 + 786*o**2 - 2000*o + 1312 = 0.
4/3, 41
Find p, given that -6*p**4/7 - 978*p**3/7 + 990*p**2/7 + 978*p/7 - 984/7 = 0.
-164, -1, 1
Suppose -26*g**5 - 100*g**4 - 114*g**3 - 32*g**2 + 8*g = 0. Calculate g.
-2, -1, 0, 2/13
Factor -2*t**2/11 + 2384*t/11 - 2382/11.
-2*(t - 1191)*(t - 1)/11
Find o, given that 5*o**2 - 5230*o = 0.
0, 1046
Factor -2*n**2/7 + 676*n/7 - 2010/7.
-2*(n - 335)*(n - 3)/7
Suppose 26*c**2/15 - 38*c/3 - 352/5 = 0. What is c?
-48/13, 11
Solve -35*x**4 - 515*x**3 - 1810*x**2 - 1540*x + 600 = 0 for x.
-10, -3, -2, 2/7
Factor 3*d**5 + 249*d**4 + 4782*d**3 - 15870*d**2 + 16383*d - 5547.
3*(d - 1)**3*(d + 43)**2
Suppose -5*m**5 - 25*m**4 + 1005*m**3 + 7525*m**2 - 1000*m - 7500 = 0. Calculate m.
-10, -1, 1, 15
Factor -3*r**5 - 207*r**4 - 3465*r**3 + 3675*r**2.
-3*r**2*(r - 1)*(r + 35)**2
Factor -t**4/2 + 7*t**3/2 - 2*t**2 - 6*t.
-t*(t - 6)*(t - 2)*(t + 1)/2
Let 2*f**2 - 162*f - 164 = 0. What is f?
-1, 82
Find s such that -2*s**3/7 - 30*s**2/7 + 32*s/7 = 0.
-16, 0, 1
Suppose 3*w**4/4 - 45*w**3/4 + 99*w**2/2 - 60*w = 0. Calculate w.
0, 2, 5, 8
Suppose i**2 + 7476*i + 13972644 = 0. Calculate i.
-3738
Factor -x**4/7 + 9*x**3/7 - 4*x**2 + 36*x/7 - 16/7.
-(x - 4)*(x - 2)**2*(x - 1)/7
Let 5*g**2 - 185*g + 180 = 0. Calculate g.
1, 36
Factor 4*k**4 + 136*k**3 - 748*k**2 + 1232*k - 624.
4*(k - 2)**2*(k - 1)*(k + 39)
Find x such that 3*x**2 + 285*x + 558 = 0.
-93, -2
Factor -2*i**4/3 - 50*i**3 - 912*i**2 + 2888*i/3.
-2*i*(i - 1)*(i + 38)**2/3
Factor j**4/2 + 7*j**3/2 + j**2 - 20*j.
j*(j - 2)*(j + 4)*(j + 5)/2
Let k**5/5 - 13*k**4/5 + 32*k**3/5 - 4*k**2 = 0. Calculate k.
0, 1, 2, 10
Solve j**5/8 - 87*j**4/4 + 43*j**3/2 + 87*j**2/4 - 173*j/8 = 0 for j.
-1, 0, 1, 173
Let -5*v**4 + 115*v**3 - 800*v**2 + 1500*v = 0. Calculate v.
0, 3, 10
Factor w**4 + 19*w**3/4 - 57*w**2/4 + 41*w/4 - 7/4.
(w - 1)**2*(w + 7)*(4*w - 1)/4
Factor 4*n**4 + 18*n**3 + 8*n**2.
2*n**2*(n + 4)*(2*n + 1)
Determine y so that -y**2/4 - 452*y - 204304 = 0.
-904
Determine f so that 2*f**4/7 - 4*f**3/7 - 30*f**2/7 + 64*f/7 - 32/7 = 0.
-4, 1, 4
Solve 4*r**4/7 + 40*r**3/7 + 80*r**2/7 - 40*r/7 - 12 = 0 for r.
-7, -3, -1, 1
Determine c, given that -2*c**4 + 30*c**3 - 28*c**2 = 0.
0, 1, 14
Factor 2*t**2/5 - 2/5.
2*(t - 1)*(t + 1)/5
What is y in -867*y**4 + 12546*y**3 - 17031*y**2 + 5976*y - 624 = 0?
4/17, 1, 13
Determine f, given that -f**3/5 + 19*f**2/5 + 66*f/5 = 0.
-3, 0, 22
Suppose 2*n**5/9 + 8*n**4/9 - 8*n**3/3 = 0. What is n?
-6, 0, 2
Find j such that 3*j**3 + 48*j**2 + 165*j - 216 = 0.
-9, -8, 1
Factor -10*m**2/11 + 46*m/11 + 20/11.
-2*(m - 5)*(5*m + 2)/11
Find x such that -64*x**2 - 500*x + 96 = 0.
-8, 3/16
Solve s**4/3 + 7*s**3 - 24*s**2 = 0.
-24, 0, 3
Factor v**2/6 + v + 4/3.
(v + 2)*(v + 4)/6
Suppose 2*x**5 + 16*x**4 + 44*x**