*2 + 8*d + 16 = 0 for d.
-2, -1, -2/3, 1/4
Solve x**5/2 + 8*x**4 + 26*x**3 - 104*x**2 - 512*x - 512 = 0 for x.
-8, -2, 4
Factor -b**5/2 + 15*b**4 - 313*b**3/2 + 660*b**2 - 968*b.
-b*(b - 11)**2*(b - 4)**2/2
Factor -3*v**4 - 126*v**3 - 120*v**2 + 126*v + 123.
-3*(v - 1)*(v + 1)**2*(v + 41)
Factor 5*s**3 + 5*s**2 - 80*s + 100.
5*(s - 2)**2*(s + 5)
Find x such that -x**2/3 + 6*x + 81 = 0.
-9, 27
Factor -l**3/4 + 190*l**2 - 145157*l/4 + 143641/2.
-(l - 379)**2*(l - 2)/4
Solve -9*q**5/5 + 84*q**4/5 - 15*q**3 - 36*q**2 + 84*q/5 + 96/5 = 0.
-1, -2/3, 1, 2, 8
Suppose -3*s**5/2 - 45*s**4/2 - 165*s**3/2 - 135*s**2/2 + 84*s + 90 = 0. What is s?
-10, -3, -2, -1, 1
Factor -5*s**5 + 515*s**4 - 13515*s**3 + 13005*s**2.
-5*s**2*(s - 51)**2*(s - 1)
Factor -4*c**5 + 208*c**4 + 872*c**3 + 1328*c**2 + 892*c + 224.
-4*(c - 56)*(c + 1)**4
Solve 2*o**3 - 2616*o**2 + 1140576*o - 165763712 = 0.
436
Determine w so that -2*w**4 + 44*w**3 - 42*w**2 = 0.
0, 1, 21
Factor -4*f**5/5 - 8*f**4 - 68*f**3/5 - 32*f**2/5.
-4*f**2*(f + 1)**2*(f + 8)/5
Factor 13689*y**3 + 13455*y**2 - 233*y + 1.
(y + 1)*(117*y - 1)**2
Determine w so that 2*w**3/5 - 1182*w**2/5 + 232854*w/5 - 15290746/5 = 0.
197
Let -l**4 + 200*l**3 - 14998*l**2 + 499800*l - 6245001 = 0. Calculate l.
49, 51
Determine n, given that -4*n**5 - 12*n**4 + 32*n**3 + 48*n**2 - 64*n = 0.
-4, -2, 0, 1, 2
Suppose 5*t**3 - 10*t**2 + 5*t = 0. Calculate t.
0, 1
Factor s**3 + 7*s**2 + 8*s - 16.
(s - 1)*(s + 4)**2
Solve g**4/4 + g**3 - 11*g**2/4 - 15*g/2 = 0 for g.
-5, -2, 0, 3
Factor 7*z**3/2 + 15*z**2 + 29*z/2 + 3.
(z + 1)*(z + 3)*(7*z + 2)/2
Factor 137*w**2/5 - 177*w/5 + 8.
(w - 1)*(137*w - 40)/5
Factor 2*p**5 + 2*p**4 - 12*p**3 + 4*p**2 + 10*p - 6.
2*(p - 1)**3*(p + 1)*(p + 3)
Determine c, given that -49*c**5/4 + 105*c**4/2 - 23*c**3 - 178*c**2 + 288*c - 128 = 0.
-2, 8/7, 2
Factor v**5 + v**4 - v**3 - v**2.
v**2*(v - 1)*(v + 1)**2
Let 5*c**3 + 3000*c**2 + 470265*c + 6009430 = 0. What is c?
-293, -14
Suppose -x**2/6 + 13*x/3 + 29/2 = 0. What is x?
-3, 29
Determine f so that -5*f**5 - 10*f**4 + 45*f**3 + 10*f**2 - 40*f = 0.
-4, -1, 0, 1, 2
Factor -21*t**5 - 162*t**4 - 456*t**3 - 528*t**2 - 144*t + 96.
-3*(t + 2)**4*(7*t - 2)
Let -3*t**2 + 1230*t - 126075 = 0. Calculate t.
205
Suppose 3*l**4/2 + 48*l**3 + 693*l**2/2 + 858*l + 690 = 0. What is l?
-23, -5, -2
Factor -f**2/5 - 674*f/5 - 2013/5.
-(f + 3)*(f + 671)/5
Let -4*x**3 - 92*x**2 - 444*x - 612 = 0. Calculate x.
-17, -3
Factor 6*f**3 - 115*f**2.
f**2*(6*f - 115)
Factor -2*f**4 - 16*f**3 + 6*f**2 + 44*f - 32.
-2*(f - 1)**2*(f + 2)*(f + 8)
Solve 8*s**2/3 - 8*s/3 + 2/3 = 0 for s.
1/2
Let -6*z**4/13 - 22*z**3 + 96*z**2/13 = 0. What is z?
-48, 0, 1/3
Find s, given that 10*s**2 - 405*s + 950 = 0.
5/2, 38
What is j in 2*j**5 - 54*j**4 - 578*j**3 + 630*j**2 = 0?
-9, 0, 1, 35
Factor 2*g**3/3 - 24*g**2 + 216*g.
2*g*(g - 18)**2/3
What is i in 4*i**3/5 - 256*i**2/5 + 252*i/5 = 0?
0, 1, 63
Solve -5*z**3 + 70*z**2 - 125*z + 60 = 0 for z.
1, 12
Factor -42*c**3 - 138*c**2 + 339*c/2 - 45.
-3*(2*c - 1)**2*(7*c + 30)/2
Solve -22*m**3 + 112*m**2 + 290*m + 156 = 0 for m.
-1, 78/11
Factor 4*t**2 - 40*t + 100.
4*(t - 5)**2
Let 4*y**3/7 - 16*y**2/7 - 4*y/7 + 16/7 = 0. Calculate y.
-1, 1, 4
Solve -n**4/3 + 82*n**3/3 + 84*n**2 + 254*n/3 + 85/3 = 0 for n.
-1, 85
Suppose -a**2 + 4 = 0. Calculate a.
-2, 2
Find x, given that -4*x**5 + 15*x**4 + 344*x**3 - 267*x**2 - 88*x = 0.
-8, -1/4, 0, 1, 11
Factor -2*d**2/11 + 3778*d/11.
-2*d*(d - 1889)/11
Find n such that 4*n**4 + 128*n**3 + 556*n**2 + 432*n = 0.
-27, -4, -1, 0
Factor -2*o**4 + 524*o**2 - 3600*o + 3078.
-2*(o - 9)**2*(o - 1)*(o + 19)
Determine z so that -1572*z**3/5 - 6292*z**2/5 - 6304*z/5 - 16/5 = 0.
-2, -1/393
Factor -4*v**3 - 108*v**2 - 972*v - 2916.
-4*(v + 9)**3
Determine l so that 2*l**2 - 462*l + 460 = 0.
1, 230
Factor -3*v**3/2 + 75*v**2/2 - 48*v - 2688.
-3*(v - 16)**2*(v + 7)/2
Factor -2*f**2 + 16*f - 14.
-2*(f - 7)*(f - 1)
Factor 50*q**3/13 - 5110*q**2/13 + 6078*q/13 - 1818/13.
2*(q - 101)*(5*q - 3)**2/13
Factor 2*b**3 - 22*b**2 + 60*b.
2*b*(b - 6)*(b - 5)
Factor 5*a**4 - 675*a**3 + 2640*a**2 - 2620*a.
5*a*(a - 131)*(a - 2)**2
Factor 25*t**4 - 165*t**3 + 330*t**2 - 140*t - 120.
5*(t - 3)*(t - 2)**2*(5*t + 2)
Suppose c**2 + 868*c + 188356 = 0. What is c?
-434
Factor 3*a**2/7 + 390*a/7 + 2232/7.
3*(a + 6)*(a + 124)/7
Solve -l**2/4 - 17*l/4 - 4 = 0 for l.
-16, -1
Factor -z**3/4 + 29*z**2/2 + z/4 - 29/2.
-(z - 58)*(z - 1)*(z + 1)/4
Determine m so that -2*m**2 - 72*m + 152 = 0.
-38, 2
Factor -3*o**2 - 183*o + 186.
-3*(o - 1)*(o + 62)
Determine r so that 3*r**5/4 - 9*r**4/2 + 39*r**3/4 - 9*r**2 + 3*r = 0.
0, 1, 2
Solve u**5/8 - u**4/4 - 5*u**3/8 + 5*u**2/4 + u/2 - 1 = 0 for u.
-2, -1, 1, 2
Factor x**3/2 - 517*x**2/2 - x/2 + 517/2.
(x - 517)*(x - 1)*(x + 1)/2
Suppose -4*w**2 + 120*w - 324 = 0. Calculate w.
3, 27
Let 3*h**2/2 + 9*h/2 - 627 = 0. Calculate h.
-22, 19
Determine v, given that 2*v**5 + 8*v**4 - 2*v**3 - 32*v**2 - 24*v = 0.
-3, -2, -1, 0, 2
Let o**5 + 2*o**4 - 3*o**3 - 8*o**2 - 4*o = 0. What is o?
-2, -1, 0, 2
Suppose -n**4 + 2*n**3 + 12*n**2 - 18*n - 27 = 0. What is n?
-3, -1, 3
Find l such that 4*l**2 - 28*l - 120 = 0.
-3, 10
Suppose -3*w**5/5 + 93*w**4/5 + 198*w**3/5 = 0. What is w?
-2, 0, 33
Suppose -6*c**3 + 1736*c**2 + 1162*c - 580 = 0. What is c?
-1, 1/3, 290
Factor -h**4 - 1338*h**3 - 448897*h**2 - 893784*h - 446224.
-(h + 1)**2*(h + 668)**2
Find y, given that -4*y**4/9 - 20*y**3/3 - 28*y**2/3 + 284*y/9 + 104/3 = 0.
-13, -3, -1, 2
Find y, given that 5*y**2 + 15*y = 0.
-3, 0
Solve k**5/3 - 22*k**4/3 + 23*k**3 + 68*k**2/3 - 260*k/3 + 48 = 0.
-2, 1, 4, 18
Let -4*d**2 + 57*d - 14 = 0. Calculate d.
1/4, 14
Factor 18*w**4 - 156*w**3 + 218*w**2 + 520*w + 200.
2*(w - 5)**2*(3*w + 2)**2
Let 4*k**3 - 118*k**2/3 + 260*k/3 - 154/3 = 0. Calculate k.
1, 11/6, 7
Factor -4*y**3 - 224*y**2 + 1452*y - 2232.
-4*(y - 3)**2*(y + 62)
Factor -4*a**2.
-4*a**2
Factor 4*d**2 + 556*d - 1704.
4*(d - 3)*(d + 142)
Factor 2*y**5/9 + 146*y**4/9 + 304*y**3 + 288*y**2.
2*y**2*(y + 1)*(y + 36)**2/9
Let -2*b**4/11 - 30*b**3/11 - 42*b**2/11 + 98*b + 4116/11 = 0. Calculate b.
-7, 6
Solve -2*i**3/5 - 248*i**2/5 + 2*i/5 + 248/5 = 0.
-124, -1, 1
Determine q so that 2*q**5/9 - 56*q**4/9 + 70*q**3/9 + 5240*q**2/9 - 8*q - 576 = 0.
-8, -1, 1, 18
Solve 2*z**3/11 + 156*z**2/11 + 2880*z/11 - 6400/11 = 0 for z.
-40, 2
Factor 2*r**3/17 + 94*r**2/17 + 1150*r/17 + 1058/17.
2*(r + 1)*(r + 23)**2/17
Let -5*n**5/2 + 3*n**4/2 + 26*n**3 + 30*n**2 + 8*n = 0. What is n?
-2, -1, -2/5, 0, 4
Solve 6*y**5 - 6506*y**4 + 1758236*y**3 + 2946316*y**2 + 591870*y - 589698 = 0 for y.
-1, 1/3, 543
Determine t, given that 147*t**5 - 525*t**4 - 1059*t**3 - 15*t**2 + 312*t - 60 = 0.
-1, 2/7, 5
Factor t**3/2 - 55*t**2/2 - 57*t.
t*(t - 57)*(t + 2)/2
Solve -2*x**3/9 + 356*x**2/9 - 110*x/3 - 472 = 0 for x.
-3, 4, 177
Suppose -35*s**3 + 7430*s**2 - 395380*s + 112360 = 0. What is s?
2/7, 106
Solve 4*j**4/7 - 104*j**3 - 2208*j**2/7 - 2216*j/7 - 740/7 = 0.
-1, 185
Factor -4*l**2 + 316*l.
-4*l*(l - 79)
Factor -r**2 - 3013*r + 3014.
-(r - 1)*(r + 3014)
Solve r**2/2 - r/2 - 6 = 0 for r.
-3, 4
Let -20*f**2 + 42*f - 4 = 0. What is f?
1/10, 2
Solve b**5/2 - b**4/2 - 3*b**3 - b**2 + 5*b/2 + 3/2 = 0 for b.
-1, 1, 3
Solve 35*k**5 - 1670*k**4 + 17930*k**3 + 47260*k**2 + 33875*k + 6250 = 0 for k.
-1, -2/7, 25
Solve 3*y**5 - 9*y**4 - 3*y**3 + 33*y**2 - 36*y + 12 = 0 for y.
-2, 1, 2
Suppose -2*d**4/5 + 16*d**3/5 - 6*d**2 - 8*d/5 + 8 = 0. Calculate d.
-1, 2, 5
Factor 4*i**4 - 664*i**3 + 17572*i**2 + 828672*i + 6230016.
4*(i - 96)**2*(i + 13)**2
Let z**5/4 - 29*z**4/4 + 31*z**3 - 24*z**2 = 0. What is z?
0, 1, 4, 24
Factor -b**3/7 - 130*b**2/7 + 57*b.
-b*(b - 3)*(b + 133)/7
Let -3*l**2/2 + 12*l + 126 = 0. What is l?
-6, 14
Let 12*a**3/7 + 219*a**2/7 - 702*a/7 - 27 = 0. What is a?
-21, -1/4, 3
Factor 2*f**5/19 - 8*f**4/19 + 8*f**3/19.
2*f**3*(f - 2)**2/19
What is w in -2*w**4/23 + 4*w**3/23 = 0?
0, 2
Suppose 3*i**4/7 + 138*i**3/7 + 1839*i**2/7 + 3960*i/7 - 32400/7 = 0. Calculate i.
-20, -9, 3
What is i in 2*i**5/7 + 164*i**4/7 + 566*i**3 + 24896*i**2/7 + 57128*i/7 + 43808/7 = 0?
-37, -4, -2
Suppose 69*l**2/2 - 9309*l/2 - 405 = 0. Calculate l.
-2/23, 135
Find q, given that 4*q**3/7 - 12*q**2/7 - 4*q/7 + 12/7 = 0.
-1, 1, 3
S