7690 = 0. Calculate n.
685
Factor -4802*x**4/5 - 732648*x**3/5 - 41917932*x**2/5 - 1065913128*x/5 - 10164243042/5.
-2*(7*x + 267)**4/5
Factor 2066*j**3/23 - 4128*j**2/23 + 2058*j/23 + 4/23.
2*(j - 1)**2*(1033*j + 2)/23
Solve 5*p**3 - 3880*p**2 - 15580*p - 15600 = 0.
-2, 780
Find t, given that 2*t**3/13 - 6*t**2/13 + 4*t/13 = 0.
0, 1, 2
Factor 2*l**4/5 + 4*l**3/5 - 8*l**2/5 - 4*l/5 + 6/5.
2*(l - 1)**2*(l + 1)*(l + 3)/5
Factor -26*q**3 - 6*q**2 + 26*q + 6.
-2*(q - 1)*(q + 1)*(13*q + 3)
Suppose -2*n**5 + 4*n**4 + 22*n**3 - 24*n**2 - 72*n = 0. What is n?
-2, 0, 3
Suppose b**5/6 + 11*b**4 + 127*b**3/6 - 11*b**2 - 64*b/3 = 0. What is b?
-64, -2, -1, 0, 1
Factor -4*d**4 - 36*d**3 - 96*d**2 - 80*d.
-4*d*(d + 2)**2*(d + 5)
Suppose 5*k**3 - 840*k**2 + 47040*k - 878080 = 0. Calculate k.
56
Find s such that -s**3 - 109*s**2 - 3024*s - 2916 = 0.
-54, -1
Suppose 6*i**4 + 64*i**3 + 142*i**2 + 116*i + 32 = 0. Calculate i.
-8, -1, -2/3
Let -3*s**3 + 123*s**2 - 1020*s + 900 = 0. What is s?
1, 10, 30
Solve -h**5/4 + 11*h**4/2 - 21*h**3 - 11*h**2/2 + 85*h/4 = 0.
-1, 0, 1, 5, 17
Factor -5*v**4 + 140*v**3 - 930*v**2 + 1460*v - 665.
-5*(v - 19)*(v - 7)*(v - 1)**2
Factor -o**5/5 - o**4 + 10*o**3 + 18*o**2 - 189*o + 1323/5.
-(o - 3)**3*(o + 7)**2/5
Factor -2*k**4/7 - 4*k**3/7 + 10*k**2/7 + 12*k/7.
-2*k*(k - 2)*(k + 1)*(k + 3)/7
Determine n, given that -n**2 + 12*n + 85 = 0.
-5, 17
Suppose 35*w**5/9 + 311*w**4/9 + 485*w**3/9 + 149*w**2/9 - 88*w/9 - 28/9 = 0. What is w?
-7, -1, -2/7, 2/5
Factor -4*c**4 - 56*c**3 - 132*c**2.
-4*c**2*(c + 3)*(c + 11)
Determine f so that 25*f**5 - 5*f**4 - 116*f**3 + 16*f**2 + 64*f + 16 = 0.
-2, -2/5, 1, 2
Factor g**3 + 19*g**2 + 35*g + 17.
(g + 1)**2*(g + 17)
Suppose d**3/7 + 40*d**2/7 + 39*d/7 = 0. What is d?
-39, -1, 0
Solve -28*l**5 + 356*l**4 - 1408*l**3 + 1584*l**2 + 576*l = 0 for l.
-2/7, 0, 3, 4, 6
Factor 845*t**3 + 3510*t**2 + 525*t + 20.
5*(t + 4)*(13*t + 1)**2
Let -3*s**4/2 + 9*s**3 - 12*s**2 - 9*s + 27/2 = 0. Calculate s.
-1, 1, 3
Determine l so that -48*l**4 - 120*l**3 - 51*l**2 - 6*l = 0.
-2, -1/4, 0
Determine p so that -5*p**5 - 25*p**4 - 50*p**3 - 50*p**2 - 25*p - 5 = 0.
-1
Solve 2*q**4/7 + 200*q**3/7 - 2*q**2/7 - 200*q/7 = 0 for q.
-100, -1, 0, 1
Solve -5*n**3 - 5*n**2 + 60*n = 0 for n.
-4, 0, 3
Factor -4*m**3 - 32*m**2 + 132*m.
-4*m*(m - 3)*(m + 11)
Factor i**4 - 11*i**3 + 33*i**2 - 9*i - 54.
(i - 6)*(i - 3)**2*(i + 1)
Determine k, given that -2*k**5/5 - 4*k**4/5 + 638*k**3/5 - 712*k**2 - 840*k = 0.
-21, -1, 0, 10
Solve -147*q**4 + 1596*q**3 + 3891*q**2 + 2616*q + 468 = 0 for q.
-1, -6/7, -2/7, 13
Factor -i**2 + 20*i - 19.
-(i - 19)*(i - 1)
Factor 16*t**5 + 16*t**4 - 28*t**3 + 8*t**2.
4*t**2*(t + 2)*(2*t - 1)**2
What is b in -160*b**4 + 8600*b**3 - 194165*b**2/2 - 496650*b - 533610 = 0?
-2, 231/8
What is y in -2*y**2/11 + 1338*y/11 + 1340/11 = 0?
-1, 670
Factor n**3/3 + 266*n**2/3.
n**2*(n + 266)/3
Let -p**5 + 5*p**4 - 5*p**3 - 5*p**2 + 6*p = 0. Calculate p.
-1, 0, 1, 2, 3
Suppose 2*t**5/5 - 32*t**4/5 + 4*t**3 + 144*t**2/5 + 18*t = 0. Calculate t.
-1, 0, 3, 15
Factor -2*r**3/3 - 16*r**2 - 42*r.
-2*r*(r + 3)*(r + 21)/3
Factor -4*c**4 - 24*c**3 + 12*c**2 + 80*c + 48.
-4*(c - 2)*(c + 1)**2*(c + 6)
Determine u, given that -2*u**4/7 - 58*u**3/7 - 334*u**2/7 + 58*u/7 + 48 = 0.
-21, -8, -1, 1
Let -2*h**2 + 764*h - 72962 = 0. What is h?
191
Solve -k**5 + k**4 + 2*k**3 = 0.
-1, 0, 2
Let -p**2 + 256*p - 16384 = 0. Calculate p.
128
Determine c so that -5*c**3 + 2330*c**2 - 271445*c = 0.
0, 233
Factor -i**5 + 5*i**4 - 2*i**3 - 20*i**2 + 24*i.
-i*(i - 3)*(i - 2)**2*(i + 2)
Let -3*s**5/2 - 49*s**4/2 - 169*s**3/2 - 159*s**2/2 - 18*s = 0. Calculate s.
-12, -3, -1, -1/3, 0
Determine v so that -v**2/3 - 260*v - 779/3 = 0.
-779, -1
Let -3*g**5 - 27*g**4 - 63*g**3 + 51*g**2 + 306*g + 216 = 0. What is g?
-4, -3, -1, 2
Factor 5*p**2 - 130*p + 845.
5*(p - 13)**2
What is p in 3*p**3 + 12*p**2 + 3*p - 18 = 0?
-3, -2, 1
Factor 3*r**4 - 27*r**3 - 369*r**2 - 645*r - 306.
3*(r - 17)*(r + 1)**2*(r + 6)
Factor -15*p**4 - 400*p**3 + 135*p**2.
-5*p**2*(p + 27)*(3*p - 1)
Factor v**3/5 - 8*v**2/5 + 17*v/5 - 2.
(v - 5)*(v - 2)*(v - 1)/5
Factor 2*b**2/5 + 44*b/5 + 242/5.
2*(b + 11)**2/5
Solve 5*n**4 + 35*n**3 - 15*n**2 - 95*n + 70 = 0 for n.
-7, -2, 1
Determine g, given that g**3 + 1033*g**2 + 1030*g - 2064 = 0.
-1032, -2, 1
Factor 3*z**3/4 + 27*z**2/4 - 3*z - 27.
3*(z - 2)*(z + 2)*(z + 9)/4
Solve -2*c**3/11 - 7468*c**2/11 - 6971378*c/11 = 0 for c.
-1867, 0
Suppose 108*d**4 - 1152*d**3 + 2559*d**2 - 2115*d + 600 = 0. Calculate d.
5/6, 1, 8
Find q such that 2*q**5 - 4*q**4 - 32*q**3 + 64*q**2 = 0.
-4, 0, 2, 4
Factor 5*y**2 - 465*y + 7560.
5*(y - 72)*(y - 21)
Factor -2*z**3/3 + 60*z**2 - 1350*z.
-2*z*(z - 45)**2/3
Determine i, given that -36*i**5 - 120*i**4 - 100*i**3 = 0.
-5/3, 0
Find g, given that 5*g**2 - 210*g - 675 = 0.
-3, 45
Find k such that 2*k**4/13 + 12*k**3/13 - 2*k**2/13 - 12*k/13 = 0.
-6, -1, 0, 1
Factor -2*a**3/9 + 164*a**2/9 + 898*a/9 - 812/3.
-2*(a - 87)*(a - 2)*(a + 7)/9
Suppose -j**4/6 + 7*j**3/6 + 5*j**2/3 - 38*j/3 - 20 = 0. Calculate j.
-2, 5, 6
Let 21*s**2/5 + 54*s/5 - 24 = 0. What is s?
-4, 10/7
Solve r**2/4 - 4*r - 17/4 = 0.
-1, 17
What is w in -2*w**5 + 62*w**4/3 - 100*w**3/3 - 120*w**2 + 496*w/3 + 448/3 = 0?
-2, -2/3, 2, 4, 7
Determine r, given that r**2/8 - 76*r + 607/8 = 0.
1, 607
Find x such that 3*x**2/4 + 9657*x/2 + 31085883/4 = 0.
-3219
Factor 2*t**2/13 + 472*t/13 + 470/13.
2*(t + 1)*(t + 235)/13
Let 328*v**4/7 + 985*v**3/7 + 141*v**2 + 331*v/7 + 1/7 = 0. Calculate v.
-1, -1/328
What is w in 3*w**3 - 288*w**2 - 1515*w = 0?
-5, 0, 101
Factor -2*z**3/7 - 36*z**2/7 + 2*z/7 + 36/7.
-2*(z - 1)*(z + 1)*(z + 18)/7
Let 2*d**2 - 24*d + 72 = 0. Calculate d.
6
Factor 4*m**2/5 + 72*m/5 + 224/5.
4*(m + 4)*(m + 14)/5
Factor 3*d**3/2 + 3073*d**2/2 - 2051*d/2 - 1025/2.
(d - 1)*(d + 1025)*(3*d + 1)/2
Determine g, given that 2*g**5 + 248*g**4/3 + 7394*g**3/9 - 6988*g**2/9 - 6104*g/3 - 784 = 0.
-21, -2/3, 2
Suppose 4*d**3 - 12*d**2 = 0. What is d?
0, 3
Let 24*d**2 - 3*d = 0. What is d?
0, 1/8
Factor -4*n**2 + 56*n - 196.
-4*(n - 7)**2
Find i such that i**2/3 + 7210*i/3 + 12996025/3 = 0.
-3605
What is o in -5*o**2 + 75*o - 130 = 0?
2, 13
Solve 80*i**4 - 2760*i**3 + 1325*i**2 + 1185*i + 170 = 0 for i.
-1/4, 1, 34
Find n such that -2*n**3 + 402*n**2 + 812*n = 0.
-2, 0, 203
Find i such that -i**5/8 + 37*i**4/4 - 27*i**3 + 107*i**2/4 - 71*i/8 = 0.
0, 1, 71
Let 56*y**3 - 110*y**2 + 52*y + 2 = 0. What is y?
-1/28, 1
Factor -o**3 + 14*o**2 - 13*o.
-o*(o - 13)*(o - 1)
Factor -3*c**4 - 9*c**3 + 9*c**2 + 21*c - 18.
-3*(c - 1)**2*(c + 2)*(c + 3)
Find z such that -6*z**3 - 338*z**2 - 442*z - 110 = 0.
-55, -1, -1/3
Determine h so that h**3/7 - h**2 + 2*h - 8/7 = 0.
1, 2, 4
Let 2*x**5 - 49*x**4 + 307*x**3 - 26*x**2 - 672*x - 288 = 0. Calculate x.
-1, -1/2, 2, 12
Factor -5*l**3 - 165*l**2 - 1275*l + 1445.
-5*(l - 1)*(l + 17)**2
Find b such that 64*b**5 - 1152*b**4/5 - 100*b**3 - 48*b**2/5 = 0.
-1/4, -3/20, 0, 4
Suppose 4*k**2 - 192*k + 2304 = 0. What is k?
24
Factor 4*r**4/3 - 236*r**3/3 + 1596*r**2 - 36100*r/3 + 54872/3.
4*(r - 19)**3*(r - 2)/3
Determine p so that -p**5/3 + 13*p**4/3 - 55*p**3/3 + 103*p**2/3 - 88*p/3 + 28/3 = 0.
1, 2, 7
Suppose -3*h**2/8 - 1116*h - 830304 = 0. What is h?
-1488
Let -5*n**4 + 2260*n**3 = 0. Calculate n.
0, 452
Solve 32*i**4 + 92*i**3 + 52*i**2 - 8*i = 0.
-2, -1, 0, 1/8
Solve 4*j**3/3 - 14*j**2 - 556*j/3 + 96 = 0 for j.
-8, 1/2, 18
Factor 9*q**3/5 - 15564*q**2/5 + 1344729*q + 897870.
3*(q - 865)**2*(3*q + 2)/5
Suppose 2135*t**2 + 2120*t - 15 = 0. What is t?
-1, 3/427
Factor a**2/2 + 7*a + 13/2.
(a + 1)*(a + 13)/2
Factor -4*y**2 + 3464*y.
-4*y*(y - 866)
Let -4*b**3/3 - 4564*b**2 - 5207524*b - 5941784884/3 = 0. Calculate b.
-1141
Let -2*d**4 + 12*d**2 + 16*d + 6 = 0. Calculate d.
-1, 3
What is k in 560*k**5 + 2280*k**4 - 5805*k**3 + 3880*k**2 - 1005*k + 90 = 0?
-6, 1/4, 3/7, 1
Let 375*k**5 + 5925*k**4 - 29970*k**3 + 30036*k**2 - 11208*k + 1440 = 0. What is k?
-20, 2/5, 3
Factor -g**3/5 - 227*g**2/5 - 451*g/5 - 45.
-(g + 1)**2*(g + 225)/5
Suppose -2*m**2/9 - 664*m/9 - 55112/9 = 0. Calculate m.
-166
Factor -93*q**2 + 95*q - 2.
-(q - 1)*(93*q - 2)
Suppose -5*f**3 - 153*f**2 - 88*f + 60 = 0. What is f?
-30, -1, 2/5
Factor -2*f**2 + 6