70*i**3 + 300*i**2 + 410*i + 175.
5*(i + 1)**2*(i + 5)*(i + 7)
Find n such that 2*n**2/9 - 212*n/3 + 634/9 = 0.
1, 317
Factor -3*g**2 + 102*g + 105.
-3*(g - 35)*(g + 1)
Suppose h**2/5 + 101*h/5 + 198/5 = 0. What is h?
-99, -2
Factor r**4/2 - 48*r**3 + 1244*r**2 - 4416*r + 4232.
(r - 46)**2*(r - 2)**2/2
Solve -2*h**2/5 + 2/5 = 0 for h.
-1, 1
Let 4*j**2/7 - 6672*j/7 + 2782224/7 = 0. Calculate j.
834
Factor 4*q**2 - 12*q.
4*q*(q - 3)
Find k, given that -k**3/2 - 7709*k**2/2 - 7430512*k - 7426658 = 0.
-3854, -1
Factor -4*m**5 + 24*m**4 - 48*m**3 + 40*m**2 - 12*m.
-4*m*(m - 3)*(m - 1)**3
Factor -10*s**3/7 + 442*s**2/7 - 3936*s/7 - 21888/7.
-2*(s - 24)**2*(5*s + 19)/7
Factor 4*r**4 - 392*r**3 + 9600*r**2 + 392*r - 9604.
4*(r - 49)**2*(r - 1)*(r + 1)
Solve 10*f**3 - 54*f**2 - 340*f + 144 = 0 for f.
-4, 2/5, 9
Let 3*l**4 + 81*l**3 + 342*l**2 + 264*l = 0. Calculate l.
-22, -4, -1, 0
Factor -5*k**2/6 + 34*k/3 + 14/3.
-(k - 14)*(5*k + 2)/6
Determine b so that 3*b**2 + 66*b + 63 = 0.
-21, -1
Find g, given that -18*g**5 + 112*g**4 - 186*g**3 + 108*g**2 - 16*g = 0.
0, 2/9, 1, 4
Factor t**3/4 - 11*t**2/4.
t**2*(t - 11)/4
Factor -4*p**2 + 116*p + 1008.
-4*(p - 36)*(p + 7)
Factor -7*w**5/5 + 19*w**4/5 - 3*w**3 + w**2/5 + 2*w/5.
-w*(w - 1)**3*(7*w + 2)/5
Let a**4/2 + 11*a**3/2 + 4*a**2 - 10*a = 0. Calculate a.
-10, -2, 0, 1
Factor 3*l**3 - 98*l**2 - 243*l - 70.
(l - 35)*(l + 2)*(3*l + 1)
Let 4*a**2 - 8*a - 32 = 0. What is a?
-2, 4
Determine b, given that -2*b**5/5 - 24*b**4/5 - 58*b**3/5 - 36*b**2/5 = 0.
-9, -2, -1, 0
Let 2*u**3/5 - 446*u**2/5 + 25086*u/5 - 24642/5 = 0. What is u?
1, 111
Solve -2*v**5/5 - 8*v**4/5 + 8*v**3/5 + 44*v**2/5 - 6*v/5 - 36/5 = 0.
-3, -1, 1, 2
Determine w, given that -21*w**5/5 - 39*w**4 - 369*w**3/5 - 237*w**2/5 - 42*w/5 = 0.
-7, -1, -2/7, 0
Determine u, given that u**3/2 - 31*u/2 - 15 = 0.
-5, -1, 6
Find l such that -l**2 - 313*l - 312 = 0.
-312, -1
Suppose 135*k**5 - 2025*k**4 + 9360*k**3 - 13720*k**2 + 8080*k - 1680 = 0. What is k?
2/3, 6, 7
Factor -5*o**4 + 45*o**3 - 45*o**2 - 425*o + 750.
-5*(o - 5)**2*(o - 2)*(o + 3)
Solve 2*z**3/15 - 68*z**2/3 + 224*z/5 = 0.
0, 2, 168
Solve -6*c**5 - 54*c**4 + 585*c**3/2 - 249*c**2 + 117*c/2 = 0.
-13, 0, 1/2, 3
Factor -4*c**3 - 260*c**2 + 816*c.
-4*c*(c - 3)*(c + 68)
Factor -5*r**4 + 35*r**3 + 415*r**2 + 1005*r + 630.
-5*(r - 14)*(r + 1)*(r + 3)**2
Determine b, given that 4*b**5/3 - 10*b**4 + 14*b**3 + 46*b**2/3 - 10*b = 0.
-1, 0, 1/2, 3, 5
Factor 2*a**2/9 - 188*a/9 + 182/3.
2*(a - 91)*(a - 3)/9
Determine f so that 2*f**4/13 - 276*f**3/13 - 2592*f**2/13 - 7884*f/13 - 7938/13 = 0.
-3, 147
Let u**4/6 - 40*u**3 + 7436*u**2/3 - 9440*u + 27848/3 = 0. Calculate u.
2, 118
Factor z**5/3 - 121*z**4/3 - 122*z**3/3.
z**3*(z - 122)*(z + 1)/3
Factor 4*d**2 + 140*d - 144.
4*(d - 1)*(d + 36)
Find x, given that -x**5/2 + x**4 + 15*x**3/2 + 2*x**2 - 10*x = 0.
-2, 0, 1, 5
Find p such that 18818*p**2 + 3492*p + 162 = 0.
-9/97
Suppose 4*h**2/7 + 48*h/7 - 16 = 0. What is h?
-14, 2
What is s in -21*s**5 + 333*s**4 - 291*s**3 - 333*s**2 + 312*s = 0?
-1, 0, 1, 104/7
Solve 3*j**3/5 + 57*j**2 + 4209*j/5 + 3927/5 = 0.
-77, -17, -1
Determine m, given that 13997521*m**3 - 348486*m**2 + 2892*m - 8 = 0.
2/241
Factor c**3/2 - c**2/4 - 3*c/2.
c*(c - 2)*(2*c + 3)/4
Factor 8*l**4 + 110*l**3 - 788*l**2 + 190*l.
2*l*(l - 5)*(l + 19)*(4*l - 1)
Let -4*k**5 + 104*k**4 - 852*k**3 + 2288*k**2 - 1936*k = 0. Calculate k.
0, 2, 11
Factor 27*b**2 - 264*b - 60.
3*(b - 10)*(9*b + 2)
Suppose 5*x**2 + 195*x - 200 = 0. What is x?
-40, 1
Let r**2/3 - 11*r - 34/3 = 0. What is r?
-1, 34
Factor d**5/3 - 5*d**4 + 86*d**3/3 - 232*d**2/3 + 96*d - 128/3.
(d - 4)**3*(d - 2)*(d - 1)/3
Let -2*m**2/15 + 182*m/15 - 232/5 = 0. What is m?
4, 87
Factor -2*y**2 - 96*y + 98.
-2*(y - 1)*(y + 49)
Factor -2*r**2/5 + 318*r/5 - 316/5.
-2*(r - 158)*(r - 1)/5
Find d such that d**4 + d**3 - 9*d**2 - 9*d = 0.
-3, -1, 0, 3
Factor -p**2 - 8*p - 7.
-(p + 1)*(p + 7)
Suppose -3*h**3 - 5*h**2 + 2*h = 0. What is h?
-2, 0, 1/3
Let -2*v**3/5 + 36*v**2/5 - 22*v/5 - 252 = 0. Calculate v.
-5, 9, 14
Solve p**4/4 + 131*p**3/4 + 4355*p**2/4 + 4225*p/4 = 0.
-65, -1, 0
Solve -5*d**2 - 85*d - 80 = 0.
-16, -1
What is u in 135*u**5 + 5805*u**4 - 78795*u**3 + 74875*u**2 - 24520*u + 2700 = 0?
-54, 1/3, 10
Factor 2*m**3/13 - 6*m**2/13 - 2*m/13 + 6/13.
2*(m - 3)*(m - 1)*(m + 1)/13
Determine b, given that 16*b**4 - 44*b**3 - 76*b**2 - 16*b = 0.
-1, -1/4, 0, 4
What is o in 6*o**5/11 + 2*o**4/11 - 34*o**3/11 + 38*o**2/11 - 12*o/11 = 0?
-3, 0, 2/3, 1
Determine j, given that -j**4/2 + 14*j**3 - 45*j**2 - 782*j - 1445/2 = 0.
-5, -1, 17
Find w, given that 22*w**5/13 + 238*w**4/13 + 396*w**3/13 - 784*w**2/13 + 128*w/13 = 0.
-8, -4, 0, 2/11, 1
Factor 2*p**4/3 + 2*p**3 - 2*p**2 - 22*p/3 - 4.
2*(p - 2)*(p + 1)**2*(p + 3)/3
Factor -5*u**3 - 95*u**2.
-5*u**2*(u + 19)
Factor 5*q**2/3 - 185*q/3 - 130.
5*(q - 39)*(q + 2)/3
Factor -d**3/3 + 40*d**2/3 + 181*d/3 - 220/3.
-(d - 44)*(d - 1)*(d + 5)/3
Factor -2*b**3/11 - 40*b**2/11 + 42*b/11.
-2*b*(b - 1)*(b + 21)/11
Suppose -2*s**3 - 50*s**2 + 546*s + 14994 = 0. What is s?
-21, 17
Solve -12*b**4 + 8*b**3 + 36*b**2 - 16 = 0 for b.
-1, 2/3, 2
Factor 2*p**4/13 + 236*p**3/13 - 238*p**2/13.
2*p**2*(p - 1)*(p + 119)/13
Factor 3*b**3/5 + 231*b**2/5 + 441*b/5 - 135.
3*(b - 1)*(b + 3)*(b + 75)/5
Factor 4*b**3 + 292*b**2 + 6204*b + 30492.
4*(b + 7)*(b + 33)**2
Determine y, given that 2*y**2/3 - 140*y/9 - 32/3 = 0.
-2/3, 24
Factor 5*d**4 - d**3 - 14*d**2 - 8*d.
d*(d - 2)*(d + 1)*(5*d + 4)
Factor 4*f**2/3 - 184*f/3 - 128.
4*(f - 48)*(f + 2)/3
Determine p, given that -p**3 + 4*p**2 - p - 6 = 0.
-1, 2, 3
Find d, given that -4*d**3 - 136*d**2 + 284*d - 144 = 0.
-36, 1
Factor -2*n**2 - 162*n + 164.
-2*(n - 1)*(n + 82)
Find t such that 3*t**2 + 252*t + 249 = 0.
-83, -1
Let -3*k**2/4 + 9*k/2 - 15/4 = 0. What is k?
1, 5
Factor 4*c**3 + 16*c**2.
4*c**2*(c + 4)
Factor 22*k**3 - 356*k**2 - 310*k + 68.
2*(k - 17)*(k + 1)*(11*k - 2)
Determine s so that 3*s**3 + 72*s**2 + 123*s - 198 = 0.
-22, -3, 1
Determine k so that -4*k**4 - 128*k**3 + 268*k**2 - 136*k = 0.
-34, 0, 1
Factor -5*g**2 + 105*g.
-5*g*(g - 21)
Suppose -2*g**4 - 14*g**3 + 132*g**2 - 296*g + 208 = 0. What is g?
-13, 2
Determine p so that -p**4/2 + 23*p**3/2 - 141*p**2/2 + 77*p/2 + 121 = 0.
-1, 2, 11
Determine z so that -5*z**2 - 20*z + 60 = 0.
-6, 2
Determine d so that 5*d**4 + 240*d**3 + 3110*d**2 + 5520*d + 2645 = 0.
-23, -1
Determine o so that -2*o**2/3 + 48*o + 2816/3 = 0.
-16, 88
Factor 3*r**2 - 876*r.
3*r*(r - 292)
Solve 15*k**3 + 54*k**2 - 204*k + 72 = 0.
-6, 2/5, 2
Find j such that 39*j**4/5 - 18*j**3/5 - 117*j**2/5 + 132*j/5 - 36/5 = 0.
-2, 6/13, 1
Suppose 2*m**2 + 72*m + 70 = 0. Calculate m.
-35, -1
Solve 4*d**4/7 + 12*d**3/7 - 44*d**2/7 - 12*d/7 + 40/7 = 0 for d.
-5, -1, 1, 2
What is u in 5*u**3 + 70*u**2 - 5*u - 70 = 0?
-14, -1, 1
Find f, given that -f**2/9 + 17*f/9 + 20/3 = 0.
-3, 20
Factor -4*h**3 - 196*h**2 - 2300*h + 2500.
-4*(h - 1)*(h + 25)**2
Factor 3*p**4/2 - 3*p**3 - 3*p**2/2 + 3*p.
3*p*(p - 2)*(p - 1)*(p + 1)/2
Suppose -3*j**3 - 9*j**2 + 135*j - 243 = 0. Calculate j.
-9, 3
Determine w, given that -w**2 + 35*w + 114 = 0.
-3, 38
Factor 12*u**3 + 32*u**2 - 16*u - 64.
4*(u + 2)**2*(3*u - 4)
Factor 6*q**4/7 - 33*q**3/7 + 36*q**2/7.
3*q**2*(q - 4)*(2*q - 3)/7
Factor 5*t**3 - 150*t**2 + 1260*t - 1960.
5*(t - 14)**2*(t - 2)
Find r, given that 5*r**2/3 + 470*r/3 + 2640 = 0.
-72, -22
Factor 2*p**3/3 + 3580*p**2/3 - 7166*p/3 + 3584/3.
2*(p - 1)**2*(p + 1792)/3
Suppose g**4/2 - 251*g**3/2 + 499*g**2/2 - 249*g/2 = 0. Calculate g.
0, 1, 249
Let j**2/4 + 15*j/2 + 29/4 = 0. What is j?
-29, -1
Suppose -5*t**2 - 185*t + 3570 = 0. Calculate t.
-51, 14
Find n, given that -55*n**3 + 155*n**2 - 80*n - 20 = 0.
-2/11, 1, 2
Factor -308*l**2 - 260*l + 48.
-4*(l + 1)*(77*l - 12)
Factor d**4 + 2*d**3 - 12*d**2 - 8*d + 32.
(d - 2)**2*(d + 2)*(d + 4)
Factor 5*a**4 - 80*a**3 - 375*a**2 - 490*a - 200.
5*(a - 20)*(a + 1)**2*(a + 2)
Factor -5*j**2/2 - 2510*j - 630010.
-5*(j + 502)**2/2
Factor -5*u**5 - 5*u**4 + 15*u**3 + 25*u**2 + 10*u.
-5*u*(u - 2)*(u + 1)**3
Suppose c**2 + 146*c + 5329 = 0. What is c?
-73
Solve 2*h**2/11 - 16*h/11 + 14/11 = 0 for h.
1, 7
Suppose -u**3 + 4*u**2 + u - 4 = 0. What is u?
-1, 1, 4
Factor -o**4 - 46*o**3