l + 2)*(l + 23)/4
Find d such that 5710335*d**5 - 13287095*d**4 + 9430905*d**3 - 1841885*d**2 - 12240*d - 20 = 0.
-2/617, 1/3, 1
Solve 3*z**2 - 33*z - 78 = 0 for z.
-2, 13
Determine j, given that 4*j**2 - 1544*j + 9120 = 0.
6, 380
Factor -4*l**4 + 12*l**3 + 36*l**2 + 20*l.
-4*l*(l - 5)*(l + 1)**2
Let 21*c**5/2 + 57*c**4/2 + 12*c**3 - 6*c**2 = 0. What is c?
-2, -1, 0, 2/7
Factor -2*c**2 - 868*c - 94178.
-2*(c + 217)**2
Let n**5/2 + 5*n**4 + 17*n**3 + 26*n**2 + 37*n/2 + 5 = 0. Calculate n.
-5, -2, -1
Factor 54*b**4/19 + 1674*b**3/19 + 3204*b**2/19 + 2104*b/19 + 464/19.
2*(b + 29)*(3*b + 2)**3/19
Factor -2*d**2/17 + 2*d/17 + 4/17.
-2*(d - 2)*(d + 1)/17
Let 5*l**5 - 30*l**4 - 80*l**3 + 370*l**2 - 405*l + 140 = 0. Calculate l.
-4, 1, 7
Determine m so that -2*m**5/5 - 2*m**4 - 8*m**3/5 + 32*m**2/5 + 64*m/5 + 32/5 = 0.
-2, -1, 2
Factor 3*b**3/8 + 45*b**2/8 - 57*b/2.
3*b*(b - 4)*(b + 19)/8
Determine z so that -z**3/3 - 217*z**2 - 47089*z - 10218313/3 = 0.
-217
Let -10*q**5/3 + 74*q**4/3 - 46*q**3 - 26*q**2/3 + 148*q/3 - 16 = 0. Calculate q.
-1, 2/5, 1, 3, 4
Factor f**4/2 + f**3/2.
f**3*(f + 1)/2
What is c in -2*c**3/7 - 18*c**2/7 + 440*c/7 = 0?
-20, 0, 11
Find q, given that q**4/4 - 4*q**3 - 112*q**2 - 512*q = 0.
-8, 0, 32
Determine j so that 13*j**4/6 - 17*j**3 + 257*j**2/6 - 32*j - 6 = 0.
-2/13, 2, 3
Suppose -16*j**5/9 - 322*j**4/9 - 8*j**3/3 + 322*j**2/9 + 40*j/9 = 0. Calculate j.
-20, -1, -1/8, 0, 1
Determine p so that 2*p**3 - 604*p**2 + 602*p = 0.
0, 1, 301
Factor 3*z**4 - 4314*z**3 + 1550883*z**2.
3*z**2*(z - 719)**2
Solve 3*t**3 - 48*t**2 - 3*t + 48 = 0 for t.
-1, 1, 16
Factor 5*x**3 + 2765*x**2 - 5550*x.
5*x*(x - 2)*(x + 555)
Determine v, given that -2*v**2/5 - 1704*v/5 - 362952/5 = 0.
-426
Factor -5*z**4 - 55*z**3 - 130*z**2 - 80*z.
-5*z*(z + 1)*(z + 2)*(z + 8)
Factor 20967241*d**3/4 - 20948925*d**2/4 - 4578*d - 1.
(d - 1)*(4579*d + 2)**2/4
Find f, given that 3*f**3/5 - 252*f**2/5 - 513*f/5 - 258/5 = 0.
-1, 86
Solve -4*j**2/5 - 28*j/5 + 72/5 = 0.
-9, 2
Factor 5*y**3/2 + 20*y**2 + 50*y + 40.
5*(y + 2)**2*(y + 4)/2
Let 2*j**5 - 74*j**4/3 - 232*j**3/3 - 40*j**2 = 0. What is j?
-2, -2/3, 0, 15
Solve -s**3/5 + 567*s**2/5 - 107163*s/5 + 6751269/5 = 0.
189
Find t such that 2*t**5 - 16*t**4 + 30*t**3 + 40*t**2 - 152*t + 96 = 0.
-2, 1, 2, 3, 4
Factor -8*j**2/3 + 230*j - 172/3.
-2*(j - 86)*(4*j - 1)/3
Suppose 4*c**3 - 432*c**2 + 1268*c - 840 = 0. What is c?
1, 2, 105
Factor -j**2 + 2*j + 3.
-(j - 3)*(j + 1)
Solve -y**3/4 - 5*y**2/4 + 4*y + 20 = 0.
-5, -4, 4
Find c such that -c**3/3 - 151*c**2 - 17176*c - 51076/3 = 0.
-226, -1
Factor -2*v**3 + 8*v**2 + 56*v + 64.
-2*(v - 8)*(v + 2)**2
Factor t**4 - 38*t**3 + 540*t**2 - 3400*t + 8000.
(t - 10)**3*(t - 8)
Factor -o**5/8 + 3*o**3 + 8*o**2 + 6*o.
-o*(o - 6)*(o + 2)**3/8
Suppose -4*u**4 + 70*u**3 - 266*u**2 + 200*u = 0. What is u?
0, 1, 4, 25/2
What is m in 2*m**4/13 + 108*m**3/13 - 978*m**2/13 + 868*m/13 = 0?
-62, 0, 1, 7
Find z, given that 2*z**5 + 12*z**4 + 18*z**3 + 8*z**2 = 0.
-4, -1, 0
Suppose -4*b**5 + 2*b**4 + 24*b**3 - 44*b**2 + 28*b - 6 = 0. What is b?
-3, 1/2, 1
Suppose -2*k**3/13 - 92*k**2/13 - 344*k/13 - 336/13 = 0. What is k?
-42, -2
Solve -15*f**5/4 + 33*f**4/2 - 9*f**3/4 - 123*f**2/2 + 69*f - 18 = 0.
-2, 2/5, 1, 2, 3
Factor l**3 - 4429*l**2 + 4906224*l - 4901796.
(l - 2214)**2*(l - 1)
Suppose z**3/4 + 73*z**2/4 - 19*z - 37 = 0. What is z?
-74, -1, 2
Factor -z**3/10 + 6*z**2 - 837*z/10 - 961/5.
-(z - 31)**2*(z + 2)/10
Factor -2*g**3/9 + 110*g**2/9 + 2*g/9 - 110/9.
-2*(g - 55)*(g - 1)*(g + 1)/9
Factor s**3 - 3*s**2 - 49*s - 45.
(s - 9)*(s + 1)*(s + 5)
Factor -h**3/3 + 28*h**2/3.
-h**2*(h - 28)/3
Suppose -2*n**4/17 - 30*n**3/17 - 122*n**2/17 - 42*n/17 + 196/17 = 0. Calculate n.
-7, -2, 1
Find i, given that -10*i**5/21 + 254*i**4/21 - 170*i**3/7 - 1046*i**2/21 + 1864*i/21 - 184/7 = 0.
-2, 2/5, 1, 3, 23
Factor 7*q**4 + 16*q**3 - 15*q**2 - 28*q + 20.
(q - 1)*(q + 2)**2*(7*q - 5)
Determine h, given that -h**3/3 - 10*h**2 - 84*h - 392/3 = 0.
-14, -2
Suppose k**4 - 9*k**3 + 14*k**2 = 0. What is k?
0, 2, 7
Determine z so that -2*z**3/5 + 18*z**2/5 + 8*z/5 - 72/5 = 0.
-2, 2, 9
Factor 5*s**4 + 85*s**3 - 2480*s**2 - 2560*s.
5*s*(s - 16)*(s + 1)*(s + 32)
Factor -3*g**2 + 36*g - 33.
-3*(g - 11)*(g - 1)
Factor 3*z**2/8 - 1059*z/8 + 132.
3*(z - 352)*(z - 1)/8
Factor -o**4/3 - 78*o**3 + 157*o**2 - 236*o/3.
-o*(o - 1)**2*(o + 236)/3
Find n, given that -2*n**4/7 + 22*n**3/7 - 46*n**2/7 - 22*n/7 + 48/7 = 0.
-1, 1, 3, 8
Determine f, given that -125*f**3 - 225*f**2 + 405*f - 135 = 0.
-3, 3/5
Solve 2*b**2/17 + 192*b/17 + 4608/17 = 0 for b.
-48
Let -3*s**2/4 - 189*s - 375 = 0. Calculate s.
-250, -2
Determine q so that 51*q**3 + 93*q**2 - 384*q + 240 = 0.
-4, 1, 20/17
Factor 4*s**5 - 44*s**4 - 24*s**3 + 232*s**2 + 340*s + 132.
4*(s - 11)*(s - 3)*(s + 1)**3
Solve -o**3 + 93*o**2 - 522*o = 0.
0, 6, 87
Suppose 1378*v**3/3 - v**2/6 - 1378*v/3 + 1/6 = 0. What is v?
-1, 1/2756, 1
Factor 3*c**5/7 + 3*c**4 + 33*c**3/7 + 15*c**2/7.
3*c**2*(c + 1)**2*(c + 5)/7
Determine z so that 5*z**4 - 20*z**3 - 185*z**2 - 340*z - 180 = 0.
-2, -1, 9
Factor 2*z**3/11 + 26*z**2/11 + 72*z/11.
2*z*(z + 4)*(z + 9)/11
Solve -5*b**2 + 675*b = 0.
0, 135
Suppose 2*v**2 + 4*v - 48 = 0. What is v?
-6, 4
Factor -2*z**3/5 - 916*z**2/5 - 1826*z/5 - 912/5.
-2*(z + 1)**2*(z + 456)/5
Find t, given that t**2/4 - 310*t + 96100 = 0.
620
Let 2*i**4 + 20*i**3 = 0. What is i?
-10, 0
Determine l so that 4*l**3 - 7*l**2 + 3*l = 0.
0, 3/4, 1
Find q, given that 4*q**3 + 13096*q**2 - 13100*q = 0.
-3275, 0, 1
Solve -4*m**2/5 - 588*m/5 - 1768 = 0.
-130, -17
Factor 2*a**5 + 112*a**4 - 846*a**3 + 2228*a**2 - 2504*a + 1008.
2*(a - 2)**3*(a - 1)*(a + 63)
Factor 3*w**3 - 12*w.
3*w*(w - 2)*(w + 2)
Let -2*g**3/5 - 218*g**2/5 - 6448*g/5 - 5408 = 0. Calculate g.
-52, -5
Factor z**4/4 + 19*z**3/4 - 44*z**2 + 39*z.
z*(z - 6)*(z - 1)*(z + 26)/4
Solve -3*x**4/7 + 15*x**3 - 831*x**2/7 - 1161*x/7 + 270 = 0.
-2, 1, 15, 21
Find k such that 5*k**2 + 190*k + 1805 = 0.
-19
Factor -28*s**3 + 100*s**2 - 104*s + 32.
-4*(s - 2)*(s - 1)*(7*s - 4)
Let -2*g**3 - 40*g**2 + 42*g = 0. What is g?
-21, 0, 1
Find d, given that -3*d**3/4 + 27*d**2/4 - 9*d/2 - 12 = 0.
-1, 2, 8
Let -196*j**2 - 192*j + 4 = 0. Calculate j.
-1, 1/49
Factor a**5/3 + 7*a**4/3 - a**3 - 55*a**2/3 + 50*a/3.
a*(a - 2)*(a - 1)*(a + 5)**2/3
What is r in 2*r**3/7 - 214*r**2/7 - 2*r/7 + 214/7 = 0?
-1, 1, 107
Factor 3*q**3 + 72*q**2 - 180*q - 624.
3*(q - 4)*(q + 2)*(q + 26)
Factor -2*c**4/5 - 6*c**3/5 + 12*c**2/5 + 16*c/5.
-2*c*(c - 2)*(c + 1)*(c + 4)/5
Find g such that -5*g**3 - 490*g**2 + 4160*g - 8480 = 0.
-106, 4
Factor -z**3 + 455*z**2 - 51067*z - 157323.
-(z - 229)**2*(z + 3)
Let -2*y**5/3 + 2*y**4/3 + 2*y**3 - 10*y**2/3 + 4*y/3 = 0. What is y?
-2, 0, 1
Factor 3*w**3/4 + 3*w**2 - 3*w - 12.
3*(w - 2)*(w + 2)*(w + 4)/4
Factor g**4/2 - 6*g**3 + 5*g**2 + 6*g - 11/2.
(g - 11)*(g - 1)**2*(g + 1)/2
Factor 2*i**2 - 10*i + 12.
2*(i - 3)*(i - 2)
Factor q**3/4 + 9*q**2/4 + 15*q/4 + 7/4.
(q + 1)**2*(q + 7)/4
What is j in -5*j**2 + 3880*j - 752720 = 0?
388
Factor -v**2 - 200*v.
-v*(v + 200)
Let -2*t**5/9 - 8*t**4/9 + 6*t**3 + 188*t**2/9 + 8*t/9 - 80/3 = 0. Calculate t.
-6, -2, 1, 5
Factor -1125*l**4 + 4200*l**3 - 5870*l**2 + 3640*l - 845.
-5*(l - 1)**2*(15*l - 13)**2
Factor -2*x**3 + 16*x**2 - 10*x - 100.
-2*(x - 5)**2*(x + 2)
Factor 4*w**5/3 - 20*w**4/3 + 8*w**3.
4*w**3*(w - 3)*(w - 2)/3
Solve 4*x**4 - 1960*x**3 - 5916*x**2 - 16*x + 7888 = 0.
-2, 1, 493
Suppose 4*b**2 - 164*b + 1632 = 0. Calculate b.
17, 24
Factor w**2/4 + 147*w/4.
w*(w + 147)/4
Suppose -4*c**3 - 244*c**2 - 232*c + 480 = 0. What is c?
-60, -2, 1
Determine j, given that 3*j**4/4 - 33*j**3/4 + 51*j**2/4 + 33*j/4 - 27/2 = 0.
-1, 1, 2, 9
Find q, given that -27*q**3 - 1000*q**2 - 1009*q - 36 = 0.
-36, -1, -1/27
Factor -3*o**3/7 + 3*o**2 - 6*o + 24/7.
-3*(o - 4)*(o - 2)*(o - 1)/7
Factor -5*d**2 - 645*d + 650.
-5*(d - 1)*(d + 130)
Suppose 5*u**5 - 370*u**4 + 1755*u**3 - 2050*u**2 - 1420*u + 2760 = 0. Calculate u.
-1, 2, 69
Suppose -3*l**4 - 543*l**3 + 1647*l**2 - 1653*l + 552 = 0. What is l?
-184, 1
Determine a, given that a**3 - 378*a**2 + 47628*a - 2000376 = 0.
126
Factor 2*v**4/13 + 272*v**3/13 + 9248*v**2/13.
2*v**2*(v + 68)**2/13
What is p in -p**5/5 - 4*p**4/5 - 2*p**3/5