2 + 8*z**2 = 0.
-16, 0, 1
Factor -m**3/4 - 68*m**2 - 809*m/4 - 269/2.
-(m + 1)*(m + 2)*(m + 269)/4
Let z**2 - 33*z - 34 = 0. What is z?
-1, 34
Factor -f**4/4 - 5*f**3/4 + 281*f**2/4 + 285*f/4.
-f*(f - 15)*(f + 1)*(f + 19)/4
What is t in 5*t**2/2 + 35*t/2 - 20 = 0?
-8, 1
Suppose -2*z**5/5 + 2*z**4/5 + 18*z**3/5 - 2*z**2 - 32*z/5 + 24/5 = 0. Calculate z.
-2, 1, 3
Determine k, given that -k**4/3 - 5*k**3/9 + 11*k**2/9 - k/3 = 0.
-3, 0, 1/3, 1
Factor 3*p**2/4 - 12.
3*(p - 4)*(p + 4)/4
Factor 3*d**3/8 - 705*d**2/8 - 1419*d/8 - 711/8.
3*(d - 237)*(d + 1)**2/8
Find y, given that -5*y**5 + 90*y**3 - 160*y**2 + 75*y = 0.
-5, 0, 1, 3
Factor -2*n**2/17 + 2266*n/17.
-2*n*(n - 1133)/17
Suppose -676*i**2/7 + 832*i/7 - 256/7 = 0. What is i?
8/13
Suppose 5*v**5 + 27*v**4 + 45*v**3 + 29*v**2 + 6*v = 0. Calculate v.
-3, -1, -2/5, 0
Factor 2*a**2/17 - 32*a/17 + 78/17.
2*(a - 13)*(a - 3)/17
Factor 5*t**4 - 60*t**3 + 105*t**2 - 50*t.
5*t*(t - 10)*(t - 1)**2
Factor 2*u**4 + 22*u**3 + 48*u**2.
2*u**2*(u + 3)*(u + 8)
Factor -f**3/6 + 17*f**2/2 - 8*f - 50/3.
-(f - 50)*(f - 2)*(f + 1)/6
Determine x so that 20*x**4 - 212*x**3 + 292*x**2 - 28*x - 72 = 0.
-2/5, 1, 9
Factor 6*s**2/7 - 3153*s/7 + 225.
3*(s - 525)*(2*s - 1)/7
Find m such that -m**3/6 - 7*m**2/3 - 20*m/3 = 0.
-10, -4, 0
Determine h so that -2*h**3/11 + 4*h**2/11 = 0.
0, 2
Factor -3*z**4 - 27*z**3 - 6*z**2 + 144*z.
-3*z*(z - 2)*(z + 3)*(z + 8)
What is d in 5*d**4 - 225*d**2 + 200*d + 420 = 0?
-7, -1, 2, 6
Let -2*w**4/7 + 12*w**3/7 + 50*w**2/7 + 36*w/7 = 0. What is w?
-2, -1, 0, 9
Factor -k**3/10 - 8*k**2/5 - 26*k/5 - 24/5.
-(k + 2)**2*(k + 12)/10
Factor -62*x**3/3 + 4*x**2/3.
-2*x**2*(31*x - 2)/3
Find r, given that 2*r**2/5 + 28*r/5 + 98/5 = 0.
-7
Solve -3*t**5/2 + 35*t**4/2 - 123*t**3/2 + 105*t**2/2 + 25*t = 0 for t.
-1/3, 0, 2, 5
Factor 45*i**2 - 160*i + 75.
5*(i - 3)*(9*i - 5)
Find f such that 3*f**3 - 36*f**2 - 45*f + 78 = 0.
-2, 1, 13
Determine o so that 2*o**5/9 + 32*o**4/9 + 128*o**3/9 = 0.
-8, 0
Factor x**3 - 281*x**2 - 1137*x - 855.
(x - 285)*(x + 1)*(x + 3)
Find p, given that -p**3/8 + 5*p**2/8 = 0.
0, 5
Suppose 2*f**3 + 8*f**2 - 40*f - 96 = 0. What is f?
-6, -2, 4
Solve 2*x**4/5 + 12*x**3/5 - 38*x**2/5 - 48*x/5 = 0 for x.
-8, -1, 0, 3
What is z in 3*z**2 - 174*z + 2523 = 0?
29
Solve -2*p**2 - 1244*p - 193442 = 0 for p.
-311
Find j, given that 2*j**4/9 - 26*j**2/9 - 8*j/3 = 0.
-3, -1, 0, 4
Let 2*h**3/5 - 26*h/5 - 24/5 = 0. What is h?
-3, -1, 4
Factor -8*x**2 + 500*x + 252.
-4*(x - 63)*(2*x + 1)
Suppose -2*l**2/19 - 1124*l/19 - 157922/19 = 0. What is l?
-281
Determine z so that -4*z**5 - 84*z**4 - 688*z**3 - 2736*z**2 - 5248*z - 3840 = 0.
-6, -5, -4, -2
Factor -3*f**2 - 36*f - 105.
-3*(f + 5)*(f + 7)
Factor 3*n**3/5 - 189*n**2/5 - 78*n.
3*n*(n - 65)*(n + 2)/5
Factor 2*p**4 - 72*p**3 + 122*p**2 + 468*p + 272.
2*(p - 34)*(p - 4)*(p + 1)**2
Factor 3*x**4/7 - 120*x**3 + 12600*x**2 - 588000*x + 10290000.
3*(x - 70)**4/7
Suppose r**4 + 7*r**3 + 10*r**2 = 0. Calculate r.
-5, -2, 0
Suppose 2*x**4 - 74*x**3 - 6*x**2 + 218*x + 148 = 0. Calculate x.
-1, 2, 37
Factor 21*q**5/4 - 9*q**4 + 9*q**3/4 + 3*q**2/2.
3*q**2*(q - 1)**2*(7*q + 2)/4
Suppose -c**3/3 + 82*c**2 - 245*c/3 = 0. What is c?
0, 1, 245
Determine q, given that 2*q**2/5 - 1552*q/5 + 301088/5 = 0.
388
Factor h**3 - 81*h**2 + 1755*h - 11475.
(h - 51)*(h - 15)**2
Factor -c**3 - 180*c**2 - 10800*c - 216000.
-(c + 60)**3
Factor -g**2/5 + 133*g/5 - 78.
-(g - 130)*(g - 3)/5
Factor -5*k**4 - 4175*k**3 - 1163430*k**2 - 108584020*k - 107424760.
-5*(k + 1)*(k + 278)**3
Find i, given that -447*i**2/11 + 437*i/11 + 10/11 = 0.
-10/447, 1
Solve h**4/5 - 13*h**3/5 + 44*h**2/5 - 32*h/5 = 0 for h.
0, 1, 4, 8
Find d such that 3*d**5/7 + 37*d**4/7 - 30*d**3/7 - 50*d**2/7 + 27*d/7 + 13/7 = 0.
-13, -1, -1/3, 1
Factor -2*f**4 - 4*f**3 + 58*f**2 + 60*f.
-2*f*(f - 5)*(f + 1)*(f + 6)
Find i such that -3*i**5/4 + 5*i**4/4 + 7*i**3 + i**2 - 4*i = 0.
-2, -1, 0, 2/3, 4
Suppose -5*j**2 + 490*j - 960 = 0. What is j?
2, 96
Let p**4/5 + 187*p**3 + 2798*p**2/5 + 1864*p/5 = 0. Calculate p.
-932, -2, -1, 0
Find f, given that 2*f**4/7 + 52*f**3/7 + 338*f**2/7 = 0.
-13, 0
Solve n**4/3 - 10*n**3/3 + 17*n**2/3 - 8*n/3 = 0.
0, 1, 8
Solve -1250*q**2/19 - 3300*q/19 - 2178/19 = 0 for q.
-33/25
Solve 4*o**5 + 60*o**4 + 316*o**3 + 660*o**2 + 400*o = 0.
-5, -4, -1, 0
Factor 2*j**4 - 130*j**3 + 2788*j**2 - 21944*j + 56784.
2*(j - 26)**2*(j - 7)*(j - 6)
Factor 5*u**4 - 65*u**3 - 5*u**2 + 65*u.
5*u*(u - 13)*(u - 1)*(u + 1)
Factor i**5/6 - i**4/2 + i**3/6 + i**2/2 - i/3.
i*(i - 2)*(i - 1)**2*(i + 1)/6
Factor -r**4/5 + 76*r**3/5.
-r**3*(r - 76)/5
Determine v so that -2023*v**5/4 - 4539*v**4/4 + 2103*v**3/2 - 280*v**2 + 24*v = 0.
-3, 0, 4/17, 2/7
Factor -2*y**5/7 - 10*y**4/7 + 80*y**2/7 + 160*y/7 + 96/7.
-2*(y - 3)*(y + 2)**4/7
Factor 3*n**3 + 3*n**2 - 3*n - 3.
3*(n - 1)*(n + 1)**2
Suppose -5*g**5 - 30*g**4 - 45*g**3 - 20*g**2 = 0. Calculate g.
-4, -1, 0
Determine g so that 4*g**5 - 280*g**4 + 4888*g**3 + 848*g**2 - 15260*g + 9800 = 0.
-2, 1, 35
Let 4*l**2 - 176*l = 0. Calculate l.
0, 44
Determine l so that 2*l**3/9 + 4*l**2/3 - 272*l/9 + 256/3 = 0.
-16, 4, 6
Factor n**3/11 + 87*n**2/11.
n**2*(n + 87)/11
Factor 2*m**4/3 - 416*m**3/3 + 23612*m**2/3 - 68640*m + 163350.
2*(m - 99)**2*(m - 5)**2/3
Factor -2*k**2/5 - 398*k/5 - 312.
-2*(k + 4)*(k + 195)/5
Suppose 3*d**2/4 - 147*d + 7203 = 0. What is d?
98
Determine p, given that 3*p**2 + 252*p = 0.
-84, 0
What is v in v**4 - 3*v**3 - 44*v**2 + 12*v + 160 = 0?
-5, -2, 2, 8
Find a, given that 2*a**3/7 + 134*a**2/7 + 262*a/7 + 130/7 = 0.
-65, -1
Factor -2*x**5 - 16*x**4 - 26*x**3 - 12*x**2.
-2*x**2*(x + 1)**2*(x + 6)
Factor 4*f**5 - 24*f**4.
4*f**4*(f - 6)
Factor -5*k**2 + 5240*k + 5245.
-5*(k - 1049)*(k + 1)
Let -k**5/3 + 3*k**4 - 9*k**3 + 31*k**2/3 - 4*k = 0. Calculate k.
0, 1, 3, 4
Solve 3*s**3 - 33*s**2 + 78*s - 48 = 0 for s.
1, 2, 8
Suppose 4*w**4 + 36*w**3 + 28*w**2 - 36*w - 32 = 0. Calculate w.
-8, -1, 1
Factor -2*h**2/3 + 1210*h/3 - 1208/3.
-2*(h - 604)*(h - 1)/3
Find h such that -2*h**3/9 - 44*h**2/3 - 192*h - 6400/9 = 0.
-50, -8
Solve 3*d**2/2 - 469*d/4 + 39/2 = 0 for d.
1/6, 78
Find h, given that -98*h**5 + 574*h**4 - 438*h**3 + 90*h**2 = 0.
0, 3/7, 5
What is o in o**2/9 - 59*o/9 + 136/3 = 0?
8, 51
Let l**2/5 + 24*l/5 + 16 = 0. Calculate l.
-20, -4
Factor -3*a**5/4 + 9*a**4/4 + 27*a**3/4 - 81*a**2/4.
-3*a**2*(a - 3)**2*(a + 3)/4
Find x, given that x**3/2 - 91*x**2/2 - 185*x/2 - 93/2 = 0.
-1, 93
Let 5*a**2 + 40*a - 765 = 0. What is a?
-17, 9
Factor 14*p**3/3 - 172*p**2/9 + 184*p/9 - 16/9.
2*(p - 2)**2*(21*p - 2)/9
Factor -4*f**3 - 132*f**2 - 480*f - 464.
-4*(f + 2)**2*(f + 29)
Suppose 3*x**5 - 93*x**4 - 9*x**3 + 285*x**2 - 186*x = 0. Calculate x.
-2, 0, 1, 31
Solve -5*k**3 + 6515*k**2 - 2119000*k - 2125520 = 0 for k.
-1, 652
Factor -2*j**4 + 30*j**3 + 452*j**2 - 480*j.
-2*j*(j - 24)*(j - 1)*(j + 10)
Let 2*q**2/13 + 8*q/13 + 8/13 = 0. Calculate q.
-2
Factor n**5 + n**4 - 30*n**3.
n**3*(n - 5)*(n + 6)
Factor -4*f**5 + 168*f**4 - 2404*f**3 + 13440*f**2 - 25600*f.
-4*f*(f - 16)**2*(f - 5)**2
Factor 5*a**2 - 15830*a + 12529445.
5*(a - 1583)**2
Factor -4*u**3/7 + 8*u**2/7.
-4*u**2*(u - 2)/7
Factor -3*t**3/2 - 213*t**2/2 + 3*t/2 + 213/2.
-3*(t - 1)*(t + 1)*(t + 71)/2
Factor 3*v**2 + 21*v - 24.
3*(v - 1)*(v + 8)
Determine o, given that o**5/2 + 4*o**4 - 5*o**3/2 - 20*o**2 + 2*o + 16 = 0.
-8, -2, -1, 1, 2
Let q**3/5 - 274*q**2/5 - 3396*q/5 - 10296/5 = 0. What is q?
-6, 286
What is r in 4*r**2/11 + 782*r/11 - 1182/11 = 0?
-197, 3/2
Determine b so that 2*b**4/3 + 8*b**3/3 - 40*b**2 = 0.
-10, 0, 6
Factor 2*j**2/11 - 50*j/11 - 372/11.
2*(j - 31)*(j + 6)/11
Factor 2*f**4 + 154*f**3 + 594*f**2 + 734*f + 292.
2*(f + 1)**2*(f + 2)*(f + 73)
Factor y**5/4 - 3*y**4/2 + 11*y**3/4 - 3*y**2/2.
y**2*(y - 3)*(y - 2)*(y - 1)/4
Solve 4*u**3 - 12*u**2 - 4*u + 12 = 0 for u.
-1, 1, 3
Determine r, given that -5*r**3 - 2210*r**2 = 0.
-442, 0
Factor -2*j**3/3 - 4*j**2 - 10*j/3.
-2*j*(j + 1)*(j + 5)/3
Let -2*m**5/19 - 68*m**4/19 - 642*m**3/19 - 1088*m**2/19 - 512*m/19 = 0. What is m?
-16, -1, 0
Solve 2*r**3/3 - 100*r**2/3 - 326*r/3 + 424/3 = 0.
-4, 1, 53
Find k such that 5*k**3 + 2950*k**2 - 23840*k + 47840 = 0.
-598, 4
Let 9*l**3 - 156*l**2 + 192*l = 0. Calculate l.
0, 4/3, 16
Dete