6 = 0. Calculate h.
-4, 45
Find s such that 2*s**5 + 14*s**4 + 14*s**3 - 46*s**2 - 16*s + 32 = 0.
-4, -1, 1
Factor 11*t**4/4 - 3*t**3/4 - 57*t**2/4 + 79*t/4 - 15/2.
(t - 1)**3*(11*t + 30)/4
Solve -3*s**3/5 - 783*s**2/5 - 68121*s/5 - 1975509/5 = 0 for s.
-87
Factor 12*y**4 - 128*y**3 - 208*y**2 + 192*y.
4*y*(y - 12)*(y + 2)*(3*y - 2)
Determine a so that 196*a**3 - 1560*a**2 - 64*a = 0.
-2/49, 0, 8
Factor -2*o**2/5 + 16*o/5 + 66/5.
-2*(o - 11)*(o + 3)/5
Solve -4*i**3 - 12*i**2 + 16*i + 48 = 0 for i.
-3, -2, 2
Factor 5*m**2 - 80*m + 75.
5*(m - 15)*(m - 1)
Factor 2*p**5 + 2*p**4 - 20*p**3 - 8*p**2 + 48*p.
2*p*(p - 2)**2*(p + 2)*(p + 3)
Factor -2*a**4/5 + 134*a**3/5 - 2432*a**2/5 + 6144*a/5.
-2*a*(a - 32)**2*(a - 3)/5
Solve 4*q**5/5 - 26*q**4/5 - 16*q**3/5 + 14*q**2/5 = 0 for q.
-1, 0, 1/2, 7
Factor -2*g**3/13 - 122*g**2/13 - 2414*g/13 - 15606/13.
-2*(g + 17)**2*(g + 27)/13
Find a, given that a**3/6 - 205*a**2/3 - a/6 + 205/3 = 0.
-1, 1, 410
Factor t**3 + 13*t**2 - 68*t.
t*(t - 4)*(t + 17)
Solve -p**3/3 - 823*p**2/3 - 1643*p/3 - 821/3 = 0.
-821, -1
Find z, given that -4*z**5/7 + 184*z**4/7 - 2116*z**3/7 = 0.
0, 23
Factor 2*s**5 + 322*s**4 + 320*s**3.
2*s**3*(s + 1)*(s + 160)
Solve -3*m**3/7 + 93*m**2/7 + 2400*m/7 + 2304/7 = 0.
-16, -1, 48
Solve 8*u**5 + 20*u**4 - 108*u**3 + 124*u**2 - 44*u = 0.
-11/2, 0, 1
Factor 5*w**2 - 1075*w + 3180.
5*(w - 212)*(w - 3)
What is i in -4*i**4/5 - 8*i**3/5 + 48*i**2/5 + 32*i/5 - 128/5 = 0?
-4, -2, 2
Factor -2*k**4 - 968*k**3/3 - 12906*k**2 + 8748*k.
-2*k*(k + 81)**2*(3*k - 2)/3
Suppose -55*o**5 - 125*o**4 - 30*o**3 + 110*o**2 + 85*o + 15 = 0. Calculate o.
-1, -3/11, 1
Determine t so that -t**3 - 39*t**2 - 140*t = 0.
-35, -4, 0
Solve -w**3/7 - 44*w**2/7 + 292*w/7 - 400/7 = 0 for w.
-50, 2, 4
Find q, given that 4*q**3 + 40*q**2 - 1404*q - 1440 = 0.
-24, -1, 15
Factor -4*r**3/9 - 52*r**2/9 - 52*r/3 - 12.
-4*(r + 1)*(r + 3)*(r + 9)/9
Suppose 28*u**3 + 16*u**2 - 428*u + 384 = 0. What is u?
-32/7, 1, 3
Solve -20*z**3 - 192*z**2 - 240*z + 128 = 0 for z.
-8, -2, 2/5
Factor 729*o**3 - 6318*o**2 + 18252*o - 17576.
(9*o - 26)**3
Let -5*n**4 + 40*n**3 = 0. Calculate n.
0, 8
Factor 3*c**5/2 + 15*c**4/2 - 48*c**3 + 54*c**2.
3*c**2*(c - 2)**2*(c + 9)/2
Factor 125*o**4 - 5100*o**3 + 4020*o**2 - 800*o.
5*o*(o - 40)*(5*o - 2)**2
Factor 2*k**3/7 - 16*k**2/7 - 40*k/7.
2*k*(k - 10)*(k + 2)/7
Let 3*a**3/7 + 33*a**2/7 - 228*a/7 + 192/7 = 0. Calculate a.
-16, 1, 4
Suppose 2*i**5/9 + 116*i**4/9 + 146*i**3/3 + 316*i**2/9 - 440*i/9 - 48 = 0. What is i?
-54, -2, -1, 1
Factor 3*m**2/2 + 15*m/4 + 3/2.
3*(m + 2)*(2*m + 1)/4
Determine f so that 2*f**5 + 14*f**4 - 34*f**3 - 198*f**2 + 432*f - 216 = 0.
-6, 1, 3
Determine v, given that -v**5/5 + v**4 + v**3/5 - 41*v**2/5 + 72*v/5 - 36/5 = 0.
-3, 1, 2, 3
Factor -2*w**3 + 16*w**2 + 18*w.
-2*w*(w - 9)*(w + 1)
Factor -21*t**3 + 594*t**2 - 168*t.
-3*t*(t - 28)*(7*t - 2)
Solve k**3 + 71*k**2 - 457*k + 385 = 0.
-77, 1, 5
Factor 4*a**4 - 36*a**3 - 4*a**2 + 36*a.
4*a*(a - 9)*(a - 1)*(a + 1)
Factor 3*a**4/5 - 24*a**3 + 444*a**2/5 - 432*a/5.
3*a*(a - 36)*(a - 2)**2/5
What is q in -q**5/3 + 5*q**4/3 - q**3 - 17*q**2/3 + 28*q/3 - 4 = 0?
-2, 1, 2, 3
Factor -2*u**2/3 - 10*u/3 + 16.
-2*(u - 3)*(u + 8)/3
Suppose v**4/9 + 2*v**3/9 - 7*v**2/9 - 8*v/9 + 4/3 = 0. Calculate v.
-3, -2, 1, 2
Let -2*j**4/3 + 38*j**3/9 + 4*j**2/9 - 88*j/9 - 16/3 = 0. Calculate j.
-1, -2/3, 2, 6
Let 2*q**2/7 + 2*q + 20/7 = 0. Calculate q.
-5, -2
Factor -50*u**2/3 - 2*u/3.
-2*u*(25*u + 1)/3
Let 2*p**2/7 - 296*p + 76664 = 0. Calculate p.
518
Determine b so that -2*b**4 - 25*b**3/2 + 21*b**2/2 = 0.
-7, 0, 3/4
Factor 2*i**5/21 - 248*i**4/21 - 250*i**3/21.
2*i**3*(i - 125)*(i + 1)/21
Let s**3/7 - 68*s**2 = 0. What is s?
0, 476
Find n such that 4*n**2/7 - 542*n/7 - 272/7 = 0.
-1/2, 136
Suppose -96*y**4 + 8*y**3 + 100*y**2 - 8*y - 4 = 0. Calculate y.
-1, -1/6, 1/4, 1
Factor -6*n**5/5 + 28*n**4/5 + 424*n**3/15 - 304*n**2/5 - 1536*n/5 - 4096/15.
-2*(n + 2)**3*(3*n - 16)**2/15
Find u, given that u**2/4 - 614*u + 376996 = 0.
1228
Factor 4*j**3 + 32*j**2 - 76*j + 40.
4*(j - 1)**2*(j + 10)
Determine v so that -5*v**3 - 185*v**2 - 180*v = 0.
-36, -1, 0
Factor 2*x**2 - 1641*x + 820.
(x - 820)*(2*x - 1)
Determine r so that -9*r**5/7 - 1191*r**4/7 + 2043*r**3/7 + 633*r**2 + 1206*r/7 = 0.
-134, -1, -1/3, 0, 3
Suppose -3*c**3 + 27*c**2 - 81*c + 81 = 0. What is c?
3
Solve -324*x**4/5 + 72*x**3/5 + 851*x**2/5 + 553*x/5 + 98/5 = 0 for x.
-1, -7/18, 2
Factor -2*h**2 + 19756*h - 48787442.
-2*(h - 4939)**2
Find g, given that 9*g**3/4 - 501*g**2/4 - 170*g - 57 = 0.
-2/3, 57
Factor -q**2/5 + 3408*q/5 - 2903616/5.
-(q - 1704)**2/5
Suppose 4*p**3 - 84*p**2 - 180*p + 8100 = 0. What is p?
-9, 15
Let 5*x**2 - 1470*x + 108045 = 0. Calculate x.
147
Factor 3*b**4 - 65*b**3 + 339*b**2 + 165*b - 242.
(b - 11)**2*(b + 1)*(3*b - 2)
Let -4*v**2 + 336*v - 7056 = 0. What is v?
42
Let -8*o**5 - 44*o**4 - 60*o**3 + 20*o**2 + 68*o + 24 = 0. What is o?
-3, -2, -1, -1/2, 1
Let 2*s**4 - 56*s**3 + 102*s**2 + 56*s - 104 = 0. What is s?
-1, 1, 2, 26
Factor -3*z**3/5 + 612*z**2/5 - 243*z + 606/5.
-3*(z - 202)*(z - 1)**2/5
Solve 44*h**3/7 + 316*h**2/7 + 320*h/7 + 48/7 = 0 for h.
-6, -1, -2/11
Find z, given that -2*z**5/7 + 68*z**4/7 + 760*z**3/7 + 620*z**2/7 - 758*z/7 - 688/7 = 0.
-8, -1, 1, 43
Let -4*l**4 + 170*l**3 + 90*l**2 - 170*l - 86 = 0. Calculate l.
-1, -1/2, 1, 43
Factor -5*s**3 + 510*s**2 - 17340*s + 196520.
-5*(s - 34)**3
Factor -3*c**2/4 + 51*c/4 - 99/2.
-3*(c - 11)*(c - 6)/4
Factor -2*c**4/5 + 12*c**3/5 - 64*c/5.
-2*c*(c - 4)**2*(c + 2)/5
Let -i**5 + 10*i**4 + 124*i**3 + 344*i**2 + 288*i = 0. Calculate i.
-4, -2, 0, 18
Suppose -49*p**3 - 197*p**2 - 4*p = 0. Calculate p.
-4, -1/49, 0
Solve -3*y**5 - 36*y**4 - 147*y**3 - 198*y**2 + 96*y + 288 = 0.
-4, -3, -2, 1
Factor 3*f**2 - 95*f + 62.
(f - 31)*(3*f - 2)
Find r, given that r**3/5 - 6*r**2/5 + 12*r/5 - 8/5 = 0.
2
Find j, given that 22*j**4/3 - 130*j**3/3 - 128*j**2 + 88*j/3 + 320/3 = 0.
-2, -1, 10/11, 8
Solve -2*f**2/7 - 416*f/7 - 21632/7 = 0.
-104
Determine a so that 4*a**4 + 2376*a**3 - 2380*a**2 = 0.
-595, 0, 1
Find k such that -10*k**2 + 2515*k + 1260 = 0.
-1/2, 252
Determine b so that b**2/7 - 929*b/7 + 1854/7 = 0.
2, 927
Factor -25*z**3/3 + 10495*z**2/9 - 368893*z/9 + 121801/9.
-(3*z - 1)*(5*z - 349)**2/9
Solve 4*x**2 - 896*x + 1776 = 0.
2, 222
Factor j**5 - 14*j**4 - 704*j**3 - 7136*j**2 - 28160*j - 38912.
(j - 38)*(j + 4)**2*(j + 8)**2
Suppose -w**5/3 + 23*w**4/3 + 25*w**3/3 - 23*w**2/3 - 8*w = 0. What is w?
-1, 0, 1, 24
What is v in 5*v**3 - 910*v**2 + 5325*v - 7920 = 0?
3, 176
Let -2*q**4/17 + 16*q**3/17 + 18*q**2/17 - 216*q/17 - 216/17 = 0. What is q?
-3, -1, 6
Let -2*q**5/7 - 92*q**4/7 - 846*q**3/7 - 2764*q**2/7 - 3688*q/7 - 240 = 0. Calculate q.
-35, -6, -2, -1
Factor -3*f**5/8 - 15*f**4/2 - 99*f**3/2 - 120*f**2 - 96*f.
-3*f*(f + 2)**2*(f + 8)**2/8
Solve -z**4 - 4*z**3 - 2*z**2 + 4*z + 3 = 0 for z.
-3, -1, 1
Determine m, given that 2*m**3/15 + 40*m**2/3 - 136*m/5 = 0.
-102, 0, 2
Factor -g**3/2 + 54*g**2 + 111*g/2 - 109.
-(g - 109)*(g - 1)*(g + 2)/2
What is l in 6*l**2/5 - 783*l - 1959/5 = 0?
-1/2, 653
Factor y**2/3 - 93*y + 278/3.
(y - 278)*(y - 1)/3
Solve -18*v**4 - 105*v**3 - 219*v**2 - 192*v - 60 = 0 for v.
-2, -1, -5/6
Let 5*b**5 + 75*b**4 + 180*b**3 - 20*b**2 - 240*b = 0. What is b?
-12, -2, 0, 1
Factor -22*s**3 + 51*s**2 + 142*s + 24.
-(s - 4)*(2*s + 3)*(11*s + 2)
What is z in 2*z**5/11 - 80*z**4/11 + 738*z**3/11 - 652*z**2/11 - 8384*z/11 - 6912/11 = 0?
-2, -1, 8, 27
Factor 2*q**2/3 - 2872*q/3 + 1031048/3.
2*(q - 718)**2/3
Solve 3*r**3 + 9*r**2 + 9*r + 3 = 0 for r.
-1
Let o**4/5 + 11*o**3/5 - 12*o**2 = 0. What is o?
-15, 0, 4
Determine y so that -4*y**3 + 8*y**2 + 32*y = 0.
-2, 0, 4
Find z, given that -z**2 - 4*z + 32 = 0.
-8, 4
Factor 3*r**2/4 + 69*r/4 + 33/2.
3*(r + 1)*(r + 22)/4
Factor 2*r**2/5 - 102*r/5 - 812/5.
2*(r - 58)*(r + 7)/5
Determine z, given that -z**5/2 + 13*z**4/2 + 3*z**3 - 131*z**2 - 485*z/2 - 231/2 = 0.
-3, -1, 7, 11
Factor -o**2/3 + 23*o/3 - 34.
-(o - 17)*(o - 6)/3
Let -2*x**3 + 14*x**2 + 34*x + 18 = 0. Calculate x.
-1, 9
Suppose -q**5/3 - 7*q**4 - 76*q**3/3 + 36*q**2 + 752*q/3 + 256 = 0. What is q?
-16, -4, -2, 3
Determine k, given that 4*k**4 - 676*k**3 - 2052*k**2 - 2060*k - 688 = 0.
-1