 0 for i.
-3, -2/9, 0, 7
Determine n, given that n**2 + 58*n + 841 = 0.
-29
Factor -2*s**4/21 + 5224*s**3/21 - 1515540*s**2/7 + 188142968*s/3 + 1321552622/21.
-2*(s - 871)**3*(s + 1)/21
Factor -p**2/3 + 28*p/3 - 25.
-(p - 25)*(p - 3)/3
Factor -2*m**2/3 + 2*m/3 + 4/3.
-2*(m - 2)*(m + 1)/3
Factor -4*m**3 + 69*m**2/5 - 16*m/5 - 33/5.
-(m - 3)*(m - 1)*(20*m + 11)/5
Factor -3*k**3/4 - 69*k**2 - 1587*k.
-3*k*(k + 46)**2/4
Solve u**5/2 + 5*u**4/2 + 7*u**3/2 - u**2/2 - 4*u - 2 = 0.
-2, -1, 1
Factor q**2/3 - 1162*q/3 - 1163/3.
(q - 1163)*(q + 1)/3
Find z, given that 20*z**5 + 28*z**4 - 52*z**3 - 44*z**2 + 32*z + 16 = 0.
-2, -1, -2/5, 1
Factor -11*u**3/2 + 167*u**2/2 + 172*u - 34.
-(u - 17)*(u + 2)*(11*u - 2)/2
Determine p so that 8*p**4 + 2*p**3 - 14*p**2 - 2*p + 6 = 0.
-1, 3/4, 1
Factor 11*w**4/4 - 5*w**3 + 7*w**2/4 + w/2.
w*(w - 1)**2*(11*w + 2)/4
Suppose -5*u**2 + 105*u = 0. Calculate u.
0, 21
Factor -5*k**3 - 40*k**2 - 35*k.
-5*k*(k + 1)*(k + 7)
Solve -w**4 - 33*w**3/4 - 7*w**2 + 51*w/4 + 7/2 = 0.
-7, -2, -1/4, 1
Suppose -144*w**4/5 - 360*w**3 - 5124*w**2/5 - 16562*w/15 - 2058/5 = 0. Calculate w.
-9, -7/6
Factor o**3/6 + 2*o**2 - 6*o - 56/3.
(o - 4)*(o + 2)*(o + 14)/6
Solve 2*m**3/5 + 6*m**2 - 684*m/5 + 1232/5 = 0.
-28, 2, 11
Solve k**5 + 17*k**4 + 18*k**3 - 428*k**2 + 872*k - 480 = 0 for k.
-12, -10, 1, 2
Factor 3*f**2 + 1668*f - 1671.
3*(f - 1)*(f + 557)
Factor 3*f**3/8 + 3*f**2/2 - 87*f/8 + 9.
3*(f - 3)*(f - 1)*(f + 8)/8
Factor r**2 - 342*r - 1035.
(r - 345)*(r + 3)
Suppose -u**3/2 - 6*u**2 + 15*u/2 + 13 = 0. Calculate u.
-13, -1, 2
Let u**4/4 - 109*u**3/4 + 51*u**2/2 + 162*u = 0. Calculate u.
-2, 0, 3, 108
Factor 2*m**4/7 + 190*m**3/7 + 6138*m**2/7 + 71114*m/7 + 119164/7.
2*(m + 2)*(m + 31)**3/7
Find d, given that 2*d**5/5 - 174*d**4/5 + 3868*d**3/5 - 3524*d**2/5 - 774*d + 3698/5 = 0.
-1, 1, 43
Find h, given that -626*h**4/7 + 5006*h**3/7 - 13130*h**2/7 + 11226*h/7 + 36/7 = 0.
-1/313, 2, 3
Find f, given that -118*f**2 + 3308*f - 112 = 0.
2/59, 28
Solve -2*c**5 + 2*c**4 + 42*c**3 - 98*c**2 - 16*c + 120 = 0.
-5, -1, 2, 3
Suppose 4*y**2 - 8808*y - 8812 = 0. Calculate y.
-1, 2203
Factor 4*h**5 - 24*h**4 + 32*h**3 + 8*h**2 - 36*h + 16.
4*(h - 4)*(h - 1)**3*(h + 1)
Factor -3*s**4 + 30*s**3 + 39*s**2 - 66*s.
-3*s*(s - 11)*(s - 1)*(s + 2)
Factor -2*m**2/3 + 52*m/3.
-2*m*(m - 26)/3
Find c such that -2*c**4/3 - 2*c**3/3 + 22*c**2 - 42*c = 0.
-7, 0, 3
Factor 6*z**4 - 104*z**3 + 414*z**2 + 324*z.
2*z*(z - 9)**2*(3*z + 2)
Let -g**4/4 - 1017*g**3/4 + 3057*g**2/4 - 3059*g/4 + 255 = 0. What is g?
-1020, 1
What is x in -9*x**4 - 42*x**3 + 36*x**2 + 90*x - 75 = 0?
-5, -5/3, 1
Find j, given that -15*j**4/8 + 21*j**3/8 + 69*j**2/8 + 15*j/8 - 9/4 = 0.
-1, 2/5, 3
Factor 3*w**2/2 + 3*w/2 - 9.
3*(w - 2)*(w + 3)/2
Solve k**3/9 - 3500*k**2/9 + 3058997*k/9 + 6132002/9 = 0.
-2, 1751
Suppose 3*p**2/2 + 123*p + 5043/2 = 0. Calculate p.
-41
Determine y so that -3*y**5 - 60*y**4 - 339*y**3 - 642*y**2 - 360*y = 0.
-12, -5, -2, -1, 0
Solve 3*n**2/2 + 309*n/2 + 153 = 0.
-102, -1
Factor 5*y**4 + 15*y**3 - 5*y**2 - 15*y.
5*y*(y - 1)*(y + 1)*(y + 3)
Find t such that t**3/3 + 13*t**2/3 - 16*t/3 - 28/3 = 0.
-14, -1, 2
Factor 6*o**3/11 + 6*o**2/11 - 72*o/11.
6*o*(o - 3)*(o + 4)/11
Find t, given that 5*t**2 - 15*t - 20 = 0.
-1, 4
Factor 4*w**5 - 2732*w**4 - 2736*w**3.
4*w**3*(w - 684)*(w + 1)
Factor 2*q**3/7 + 100*q**2/7 - 3854*q/7 - 194392/7.
2*(q - 44)*(q + 47)**2/7
Factor -3*x**4 - 324*x**3 - 9945*x**2 - 64500*x - 112500.
-3*(x + 3)*(x + 5)*(x + 50)**2
Let 5*x**3 + 30*x**2 + 25*x = 0. Calculate x.
-5, -1, 0
Factor 5*q**4 - 145*q**3 - 5*q**2 + 145*q.
5*q*(q - 29)*(q - 1)*(q + 1)
Solve -9*r**5 + 12*r**4 + 363*r**3 + 846*r**2 + 696*r + 192 = 0 for r.
-4, -1, -2/3, 8
Find r, given that 2*r**5 + 20*r**4 + 34*r**3 - 56*r**2 = 0.
-7, -4, 0, 1
Suppose 4*y**3 + 60*y**2 + 188*y + 132 = 0. What is y?
-11, -3, -1
Find k, given that -4*k**4 - 52*k**3 + 180*k**2 - 188*k + 64 = 0.
-16, 1
What is i in 84*i**5 - 368*i**4 - 84*i**3 + 736*i**2 + 432*i + 64 = 0?
-1, -1/3, -2/7, 2, 4
Let -16*k**4 + 2352*k**3 - 4660*k**2 + 2904*k - 580 = 0. What is k?
1/2, 1, 145
Suppose 3*i**4 + 21*i**3 - 54*i**2 - 324*i + 648 = 0. What is i?
-6, 2, 3
Determine f, given that 6*f**4/5 + 248*f**3/5 + 768*f**2/5 + 288*f/5 - 608/5 = 0.
-38, -2, 2/3
Suppose 21*n**3/4 - 771*n**2/4 - 111*n/2 = 0. What is n?
-2/7, 0, 37
Find c such that -4*c**5 - 56*c**4 - 244*c**3 - 464*c**2 - 400*c - 128 = 0.
-8, -2, -1
Find g such that -2*g**5/11 - 46*g**4/11 - 42*g**3/11 + 46*g**2/11 + 4*g = 0.
-22, -1, 0, 1
Factor 5*z**4 + 490*z**3 + 4125*z**2 + 10760*z + 7120.
5*(z + 1)*(z + 4)**2*(z + 89)
Suppose -5*f**2 + 455*f - 890 = 0. Calculate f.
2, 89
What is u in -28*u**5 + 911*u**4 - 7650*u**3 + 3904*u**2 - 512*u = 0?
0, 1/4, 2/7, 16
Factor -3*x**2 - 60*x - 57.
-3*(x + 1)*(x + 19)
Find q, given that 4*q**2 + 980*q + 5736 = 0.
-239, -6
What is f in 21*f**3 + 1578*f**2 - 4644*f + 2808 = 0?
-78, 6/7, 2
Find j, given that -3*j**3/4 + 9*j**2/2 - 9*j + 6 = 0.
2
Determine r so that -2*r**5 + 10*r**4 + 36*r**3 - 88*r**2 - 304*r - 192 = 0.
-2, -1, 4, 6
Factor 2*i**5 - 14*i**4 + 20*i**3.
2*i**3*(i - 5)*(i - 2)
What is n in 17*n**5 + 117*n**4 + 156*n**3 - 20*n**2 = 0?
-5, -2, 0, 2/17
Factor -4*f**4 - 300*f**3 - 4800*f**2 + 32000*f.
-4*f*(f - 5)*(f + 40)**2
Factor -150*u**2/7 + 1641*u/7 + 99/7.
-3*(u - 11)*(50*u + 3)/7
Factor 2*d**5 + 144*d**4 + 142*d**3.
2*d**3*(d + 1)*(d + 71)
Solve -r**4/3 + 6*r**3 - 20*r**2 + 56*r/3 = 0.
0, 2, 14
Factor -2*t**4 - 8*t**3 + 32*t + 32.
-2*(t - 2)*(t + 2)**3
Let 4*q**3 + 28*q**2 - 32*q = 0. Calculate q.
-8, 0, 1
Factor -4*f**3 + 4*f.
-4*f*(f - 1)*(f + 1)
Let -q**5/3 + 19*q**4/3 - 58*q**3/3 - 14*q**2 + 57*q + 45 = 0. What is q?
-1, 3, 15
Find c, given that -15*c**4 + 414*c**3 - 1617*c**2 + 666*c + 552 = 0.
-2/5, 1, 4, 23
Determine l so that 1842375*l**3/2 + 130050*l**2 + 6120*l + 96 = 0.
-4/85
Factor -2*q**2/7 - 68*q/7.
-2*q*(q + 34)/7
Factor h**4 + 64*h**3 + 61*h**2 - 126*h.
h*(h - 1)*(h + 2)*(h + 63)
Find p such that 3*p**4/7 + 303*p**3/7 - 2223*p**2/7 + 4833*p/7 - 2916/7 = 0.
-108, 1, 3
Solve -4*t**2 + 724*t - 720 = 0 for t.
1, 180
Solve -2*z**2 - 722*z = 0 for z.
-361, 0
Solve -4*f**4/11 - 18*f**3/11 - 2*f**2 + 8/11 = 0.
-2, -1, 1/2
Let 5*f**2 - 10460*f + 5470580 = 0. What is f?
1046
Find i such that 2*i**2 + 130*i - 268 = 0.
-67, 2
Let 2*u**5 - 8*u**4 + 4*u**3 + 8*u**2 - 6*u = 0. Calculate u.
-1, 0, 1, 3
Determine f so that 2*f**4/13 - 12*f**3/13 = 0.
0, 6
Factor -139*i**4/5 + 554*i**3/5 - 548*i**2/5 - 8*i/5.
-i*(i - 2)**2*(139*i + 2)/5
Solve r**3 - 48*r**2 + 467*r - 420 = 0.
1, 12, 35
Suppose -v**5/4 - 2*v**4 - 3*v**3/2 + 10*v**2 - 25*v/4 = 0. Calculate v.
-5, 0, 1
Find j such that -2*j**2/3 - 4*j/9 + 2/9 = 0.
-1, 1/3
Suppose -2*q**3/13 + 344*q**2/13 - 15130*q/13 + 28900/13 = 0. Calculate q.
2, 85
Determine h so that -2*h**2 + 163*h + 249 = 0.
-3/2, 83
Factor 2*i**3/15 - 196*i**2/15 + 562*i/15 + 152/3.
2*(i - 95)*(i - 4)*(i + 1)/15
Factor -5*u**3/3 + 3545*u**2/3 + 5*u/3 - 3545/3.
-5*(u - 709)*(u - 1)*(u + 1)/3
Factor 2*q**3/11 + 16*q**2/11 + 2*q/11 - 84/11.
2*(q - 2)*(q + 3)*(q + 7)/11
Factor -u**5 - 27*u**4 - 166*u**3 + 252*u**2 + 392*u.
-u*(u - 2)*(u + 1)*(u + 14)**2
Find s such that 1323*s**3 + 4221*s**2 + 768*s + 36 = 0.
-3, -2/21
Factor 8*k**4 - 34*k**3 + 48*k**2 - 26*k + 4.
2*(k - 2)*(k - 1)**2*(4*k - 1)
Factor -4*m**3 - 160*m**2 - 452*m - 296.
-4*(m + 1)*(m + 2)*(m + 37)
Factor -3*h**2 + 270*h + 273.
-3*(h - 91)*(h + 1)
Determine t, given that -4*t**2/9 + 32*t/9 + 4 = 0.
-1, 9
Factor -h**3/3 - 95*h**2/3 - 62*h.
-h*(h + 2)*(h + 93)/3
Find c, given that -c**2 + 16*c + 57 = 0.
-3, 19
Solve -4*v**3/5 + 1040*v**2 - 1679552*v/5 - 6801664/5 = 0 for v.
-4, 652
Factor 3*i**2 + 6*i - 189.
3*(i - 7)*(i + 9)
Suppose -3*l**5 + 15*l**4 + 102*l**3 - 240*l**2 = 0. Calculate l.
-5, 0, 2, 8
Find m such that -4*m**2 + 32*m + 192 = 0.
-4, 12
Factor 15*x**4 + 54*x**3 + 51*x**2 - 12.
3*(x + 1)**2*(x + 2)*(5*x - 2)
What is r in -2*r**4/15 - 4*r**3/15 + 10*r**2 - 496*r/15 + 352/15 = 0?
-11, 1, 4
Suppose 5*s**3 + 410*s**2 - 1275*s = 0. Calculate s.
-85, 0, 3
Determine y so that 15*y**5 - 108*y**4 + 99*y**3 + 66*y**2 - 72*y = 0.
-4/5, 0, 1, 6
Suppose 8*w**3/21 - 2*w**2/7 - 8*w/21 + 2/7 = 0. Calculate w.
-1, 3/4, 1
Find o such that 2