-u**2/2 + 57*u/2.
-u*(u - 57)/2
Factor g**2/2 + 1894*g + 1793618.
(g + 1894)**2/2
Find g such that g**3/6 - 245*g**2/6 + 487*g/6 - 81/2 = 0.
1, 243
Solve x**4/2 - 3*x**3 - x**2/2 + 3*x = 0.
-1, 0, 1, 6
Find p such that -p**4 + 34*p**3 + 71*p**2 + 36*p = 0.
-1, 0, 36
Determine k, given that 2*k**2 + 8*k + 6 = 0.
-3, -1
Determine k so that k**3 + 22*k**2 - 163*k + 140 = 0.
-28, 1, 5
Solve 32*w**5/9 + 128*w**4/3 + 638*w**3/9 - 8*w**2/3 - 40*w/9 = 0.
-10, -2, -1/4, 0, 1/4
Find z, given that -3*z**2 - 402*z - 13467 = 0.
-67
Factor -4*h**3 + 40*h**2.
-4*h**2*(h - 10)
Factor 3*w**3 + 459*w**2 + 1356*w + 900.
3*(w + 1)*(w + 2)*(w + 150)
Let -3*f**2 + 21*f - 30 = 0. Calculate f.
2, 5
Factor -k**4 + 7*k**3 - 18*k**2 + 20*k - 8.
-(k - 2)**3*(k - 1)
Solve -98*b**3/3 - 8582*b**2/3 - 4880*b/3 - 232 = 0 for b.
-87, -2/7
Solve 4*g**5 - 8*g**4 - 88*g**3 - 64*g**2 + 84*g + 72 = 0 for g.
-3, -1, 1, 6
Let 5*k**3 - 1475*k**2 - 1480*k = 0. What is k?
-1, 0, 296
Factor -j**2/4 + 329*j/2 - 108241/4.
-(j - 329)**2/4
Determine z, given that -2*z**2 - 6*z + 1508 = 0.
-29, 26
Factor -18735*o**2 - 18725*o + 10.
-5*(o + 1)*(3747*o - 2)
Let z**3 - 8*z**2 - 229*z - 220 = 0. What is z?
-11, -1, 20
Determine n so that 3*n**3 - 558*n**2 - 9504*n - 38784 = 0.
-8, 202
Factor 3*d**4/5 + 39*d**3/5 - 3*d**2/5 - 39*d/5.
3*d*(d - 1)*(d + 1)*(d + 13)/5
Find r, given that r**5/5 - 51*r**4/5 + 723*r**3/5 - 1873*r**2/5 + 1776*r/5 - 576/5 = 0.
1, 24
Factor 4*o**4/3 + 4*o**3 - 16*o**2/3 - 16*o.
4*o*(o - 2)*(o + 2)*(o + 3)/3
Suppose -14*c**5/13 - 10*c**4 - 6*c**3 + 506*c**2/13 - 188*c/13 - 96/13 = 0. Calculate c.
-8, -3, -2/7, 1
Factor -3*f**2/2 - 273*f - 24843/2.
-3*(f + 91)**2/2
Solve -2*h**3/13 - 174*h**2/13 - 670*h/13 - 498/13 = 0 for h.
-83, -3, -1
Factor -2*h**2/11 - 8*h - 246/11.
-2*(h + 3)*(h + 41)/11
Determine r, given that 2*r**4/9 + 4*r**3/3 - 10*r**2 - 100*r/9 = 0.
-10, -1, 0, 5
Let -2*p**5/9 + 16*p**4/3 + 230*p**3/9 - 148*p**2/9 - 64*p + 448/9 = 0. What is p?
-4, -2, 1, 28
Factor -4*d**4 + 1296*d**3 - 3852*d**2.
-4*d**2*(d - 321)*(d - 3)
Factor -4*q**3 + 68*q**2 - 224*q + 208.
-4*(q - 13)*(q - 2)**2
Solve 2*f**2/7 + 48*f/7 + 40 = 0 for f.
-14, -10
Find f, given that 2*f**3/5 - 48*f**2/5 + 226*f/5 - 36 = 0.
1, 5, 18
Let -4*u**5/3 + 398*u**4/9 - 1490*u**3/9 + 1150*u**2/9 + 302*u/9 - 116/3 = 0. Calculate u.
-1/2, 2/3, 1, 3, 29
Factor 7*f**4/2 + 29*f**3 + 107*f**2/2 + 34*f + 6.
(f + 1)**2*(f + 6)*(7*f + 2)/2
Find g such that 2*g**3/9 - 20*g**2/9 = 0.
0, 10
Suppose -6*b**4 + 115*b**3 - 1052*b**2/3 - 1085*b/3 - 50 = 0. Calculate b.
-2/3, -1/6, 5, 15
Let 3*u**2 + 21*u + 18 = 0. Calculate u.
-6, -1
Suppose -x**2/2 - 85*x/2 - 497 = 0. What is x?
-71, -14
Let 3*x**4 + 36*x**3 + 66*x**2 - 252*x + 147 = 0. What is x?
-7, 1
Factor 5*w**5 - 900*w**4 + 37725*w**3 + 248350*w**2 + 511500*w + 345960.
5*(w - 93)**2*(w + 2)**3
Find s, given that -2*s**5/9 + 374*s**4/9 + 8*s**3/3 - 4520*s**2/9 + 5984*s/9 = 0.
-4, 0, 2, 187
Determine s so that 8*s**5 + 59*s**4 + 165*s**3 + 214*s**2 + 124*s + 24 = 0.
-2, -1, -3/8
Determine h so that -3*h**2/2 + 9*h - 27/2 = 0.
3
Factor 775*w**3/4 + 1545*w**2/4 + 765*w/4 - 5/4.
5*(w + 1)**2*(155*w - 1)/4
Find p such that 2*p**4/19 + 2*p**3 + 16*p**2/19 - 344*p/19 + 288/19 = 0.
-18, -4, 1, 2
Factor 4*l**3/7 - 132*l**2/7 + 1404*l/7 - 676.
4*(l - 13)**2*(l - 7)/7
Factor 2*y**2 - 4214*y - 12660.
2*(y - 2110)*(y + 3)
Find l, given that 2*l**2 - 988*l + 122018 = 0.
247
Factor k**4/2 - k**3 - 8*k**2 + 16*k.
k*(k - 4)*(k - 2)*(k + 4)/2
Factor 5*m**4 - 280*m**3 - 1485*m**2 - 2420*m - 1220.
5*(m - 61)*(m + 1)*(m + 2)**2
Let -2*t**4 - 6*t**3 + 2*t**2 + 6*t = 0. What is t?
-3, -1, 0, 1
Let -3*j**3/4 + 15*j**2/4 - 9*j/2 = 0. Calculate j.
0, 2, 3
Let 2*h**5/3 - 352*h**4/3 + 688*h**3 - 4100*h**2/3 + 3406*h/3 - 340 = 0. Calculate h.
1, 3, 170
Factor -2*v**3 + 306*v**2 - 14070*v + 170582.
-2*(v - 67)**2*(v - 19)
Factor 5*s**3 + 25*s**2 - 165*s + 135.
5*(s - 3)*(s - 1)*(s + 9)
Determine w, given that -2*w**3 - 38*w**2 - 160*w + 200 = 0.
-10, 1
Determine a, given that -4*a**4 + 52*a**3 - 92*a**2 + 44*a = 0.
0, 1, 11
Factor c**4/3 + 102*c**3 + 404*c**2 + 1208*c/3.
c*(c + 2)**2*(c + 302)/3
Find y, given that -4*y**5 - 124*y**4 + 1408*y**3 - 1280*y**2 = 0.
-40, 0, 1, 8
Factor -3*n**2 - 57*n.
-3*n*(n + 19)
Factor 6*l**5 - 22*l**4 + 30*l**3 - 18*l**2 + 4*l.
2*l*(l - 1)**3*(3*l - 2)
Find u such that -4*u**3/3 + 144*u**2 + 436*u/3 = 0.
-1, 0, 109
Solve a**5/7 - 27*a**4/7 + 22*a**3/7 + 108*a**2/7 - 104*a/7 = 0.
-2, 0, 1, 2, 26
Factor -c**3 + 7*c**2 - 10*c.
-c*(c - 5)*(c - 2)
Factor r**3/8 - 771*r**2/4 - r/8 + 771/4.
(r - 1542)*(r - 1)*(r + 1)/8
Suppose -q**5/7 - 3*q**4/7 + 7*q**3 - 69*q**2/7 - 180*q/7 + 324/7 = 0. What is q?
-9, -2, 2, 3
Factor 4*h**3/9 + 4*h**2 + 20*h/3 - 100/9.
4*(h - 1)*(h + 5)**2/9
What is n in 2*n**4/7 + 40*n**3/7 + 108*n**2/7 + 104*n/7 + 34/7 = 0?
-17, -1
Factor -o**2 + 50*o.
-o*(o - 50)
Solve 2*t**4/7 + 16*t**3/7 - 16*t**2/7 - 192*t/7 + 288/7 = 0.
-6, 2
What is v in -4*v**2 - 28*v = 0?
-7, 0
Factor 5*w**3/2 + 12*w**2 - 5*w/2.
w*(w + 5)*(5*w - 1)/2
Factor -2*l**3/9 + 34*l**2/3.
-2*l**2*(l - 51)/9
Factor 5*g**5/2 + 1345*g**4/2 + 2665*g**3 + 3985*g**2 + 5305*g/2 + 1325/2.
5*(g + 1)**4*(g + 265)/2
Let -2*k**5/3 - 8*k**4/3 + 8*k**3/3 + 68*k**2/3 + 30*k + 12 = 0. What is k?
-3, -2, -1, 3
Let 3*u**4/5 + 6*u**3/5 - 9*u**2/5 - 12*u/5 + 12/5 = 0. What is u?
-2, 1
Suppose 2*n**4 + 146*n**3 + 140*n**2 - 288*n = 0. Calculate n.
-72, -2, 0, 1
Solve -46*j**3/5 - 134*j**2/5 - 16*j + 8/5 = 0 for j.
-2, -1, 2/23
Factor -g**4 - 74*g**3 - 145*g**2 - 72*g.
-g*(g + 1)**2*(g + 72)
Suppose -2*s**2/5 - 36*s/5 - 144/5 = 0. Calculate s.
-12, -6
Factor -12*k**3/5 - 5524*k**2/5 + 3688*k/5.
-4*k*(k + 461)*(3*k - 2)/5
What is c in -2*c**5/7 - 58*c**4/7 - 382*c**3/7 + 190*c**2 + 1344*c - 3528 = 0?
-14, -7, 3
Suppose 2*q**4/3 - 58*q**3/3 + 568*q**2/3 - 2048*q/3 + 512 = 0. What is q?
1, 8, 12
What is g in -12*g**3 - 915*g**2 - 2004*g - 444 = 0?
-74, -2, -1/4
What is z in 14*z**2/19 - 340*z/19 + 96/19 = 0?
2/7, 24
Factor 2*j**3/9 + 32*j**2/9 + 40*j/3.
2*j*(j + 6)*(j + 10)/9
Factor g**5/4 - 4*g**4 + 24*g**3 - 135*g**2/2 + 351*g/4 - 81/2.
(g - 6)*(g - 3)**3*(g - 1)/4
Find v, given that v**3/5 - 196*v**2 + 241077*v/5 - 478242/5 = 0.
2, 489
Factor h**3/8 + 13*h**2/2 - 107*h/8 + 27/4.
(h - 1)**2*(h + 54)/8
Factor 2*q**5/7 + 12*q**4/7 - 2*q**3.
2*q**3*(q - 1)*(q + 7)/7
Let -m**2/4 - 50*m = 0. Calculate m.
-200, 0
Factor -5*z**2 - 130*z - 240.
-5*(z + 2)*(z + 24)
Determine a, given that 2*a**4/9 + 4*a**3/3 + 2*a**2 + 8*a/9 = 0.
-4, -1, 0
Determine b, given that -b**5/6 + 3*b**4/2 - 9*b**3/2 + 9*b**2/2 = 0.
0, 3
Factor 6*g**2 + 61*g/2 + 5/2.
(g + 5)*(12*g + 1)/2
Factor -2*n**4/3 - 464*n**3/3.
-2*n**3*(n + 232)/3
Suppose x**5/3 + 4*x**4/3 - 16*x**3/3 - 64*x**2/3 = 0. Calculate x.
-4, 0, 4
Factor -5*m**5 - 20*m**4 - 25*m**3 - 10*m**2.
-5*m**2*(m + 1)**2*(m + 2)
What is v in -4*v**5 - 2*v**4 + 10*v**3 - 4*v**2 = 0?
-2, 0, 1/2, 1
Let -2*w**3/5 - 56*w**2/5 - 54*w/5 = 0. What is w?
-27, -1, 0
Find k, given that 2*k**3 - 2*k**2 - 84*k = 0.
-6, 0, 7
Determine h, given that -5*h**4 + 3470*h**3 + 10445*h**2 + 6970*h = 0.
-2, -1, 0, 697
Find d, given that -3*d**3 + 33*d**2 + 663*d - 7605 = 0.
-15, 13
Factor -f**5 + 10*f**4 - 34*f**3 + 52*f**2 - 37*f + 10.
-(f - 5)*(f - 2)*(f - 1)**3
Determine l so that -l**2 - 126*l - 3969 = 0.
-63
Let -2*o**3/17 - 18*o**2/17 + 216/17 = 0. Calculate o.
-6, 3
Factor -9*i**2/4 + 93*i/2 + 63/4.
-3*(i - 21)*(3*i + 1)/4
Determine p, given that 2*p**5 - 16*p**4 - 160*p**3 + 380*p**2 + 158*p - 364 = 0.
-7, -1, 1, 2, 13
Suppose -5*n**4 + 30*n**3 + 60*n**2 - 190*n + 105 = 0. What is n?
-3, 1, 7
Solve -2*n**5/5 - 4*n**4 - 22*n**3/5 + 164*n**2/5 + 24*n/5 - 144/5 = 0.
-6, -1, 1, 2
Factor 2*x**2/11 - 116*x/11 + 224/11.
2*(x - 56)*(x - 2)/11
Suppose 2*t**5 - 4*t**4 - 26*t**3 + 28*t**2 + 48*t = 0. Calculate t.
-3, -1, 0, 2, 4
Factor w**2 - 5*w - 104.
(w - 13)*(w + 8)
Solve 3*t**5/2 - 15*t**4/2 - 69*t**3/2 - 33*t**2/2 + 33*t + 24 = 0 for t.
-2, -1, 1, 8
Factor -i**3 - 15*i**2 - 14*i.
-i*(i + 1)*(i + 14)
Factor 3*o**2 - 1002*o - 5085.
3*(o - 339)*(o + 5)
Suppose 3*j**5 + 27*j**4 - 774*j**3 - 1974*j**2 + 68355*j - 231525 = 0. What is j?
-15, 7
Factor 2*x**3/3 - 66*x**2 + 2178*x - 23958.
2*(x - 33)**3/3
S