- 909*i - 1272/7 = 0. Calculate i.
-424, -1/5
Determine c so that 5*c**2 - 430*c + 425 = 0.
1, 85
Find m such that -m**2/2 + 5932*m - 17594312 = 0.
5932
Find p such that -10*p**4 + 454*p**3 + 280*p**2 - 184*p = 0.
-1, 0, 2/5, 46
Let -z**5/3 - 19*z**4/3 - 6*z**3 = 0. What is z?
-18, -1, 0
Solve -15*h**2/4 + 7337*h/4 - 489/2 = 0.
2/15, 489
Determine u, given that 4*u**5 + 8*u**4 - 8*u**3 - 16*u**2 + 4*u + 8 = 0.
-2, -1, 1
Factor 60*y**3 - 292*y**2/5 - 8*y/5.
4*y*(y - 1)*(75*y + 2)/5
Factor 2*y**5/9 - 2866*y**4/9 + 1022438*y**3/9 + 3084530*y**2/9 + 3090272*y/9 + 1031048/9.
2*(y - 718)**2*(y + 1)**3/9
What is s in 5*s**4 - 340*s**3 + 990*s**2 - 980*s + 325 = 0?
1, 65
Find b such that -18*b**4 - 1632*b**3 - 37532*b**2 - 24480*b - 4050 = 0.
-45, -1/3
Let 2*j**3/5 - 24*j**2 - 246*j/5 - 124/5 = 0. Calculate j.
-1, 62
Factor -3*z**4/4 + 117*z**3/4 - 252*z**2 - 2112*z + 27648.
-3*(z - 16)**3*(z + 9)/4
Determine x, given that -x**2/5 + 182*x/5 = 0.
0, 182
Factor -4*j**2 + 64*j - 256.
-4*(j - 8)**2
Find j such that -7*j**4/4 + 19*j**3/2 - 2*j**2 - 19*j/2 + 15/4 = 0.
-1, 3/7, 1, 5
Factor -a**2 - 104*a - 103.
-(a + 1)*(a + 103)
Determine a, given that -15*a**5/2 - 3*a**4 + 15*a**3/2 + 3*a**2 = 0.
-1, -2/5, 0, 1
Find h such that 3*h**5/8 - 105*h**4/8 + 51*h**3/4 = 0.
0, 1, 34
Factor -3*n**5/5 + 60*n**4 - 9084*n**3/5 + 15840*n**2 - 209088*n/5.
-3*n*(n - 44)**2*(n - 6)**2/5
Solve 3*q**2 + 186*q - 189 = 0.
-63, 1
Solve g**5 - 58*g**4 + 1192*g**3 - 9936*g**2 + 27216*g - 23328 = 0.
2, 18
Solve 4*h**4 - 84*h**3 + 392*h**2 - 480*h = 0.
0, 2, 4, 15
Determine v so that -v**5 + 24*v**4 + 7*v**3 - 174*v**2 + 144*v = 0.
-3, 0, 1, 2, 24
Let 2*w**2/19 - 160*w/19 + 32 = 0. Calculate w.
4, 76
Factor -32*r**5/11 + 256*r**4/11 + 592*r**3/11 + 464*r**2/11 + 158*r/11 + 20/11.
-2*(r - 10)*(2*r + 1)**4/11
Factor 3*w**2/5 - 15*w - 162/5.
3*(w - 27)*(w + 2)/5
Factor -4*v**3 + 360*v**2 + 732*v + 368.
-4*(v - 92)*(v + 1)**2
Factor -13*q**2/4 - 59*q/4 + 15/2.
-(q + 5)*(13*q - 6)/4
Factor -w**2/4 + 45*w/2 - 1449/4.
-(w - 69)*(w - 21)/4
Factor 5*m**4 + 3175*m**3 + 674145*m**2 + 48305285*m + 93939310.
5*(m + 2)*(m + 211)**3
Factor -p**2 - 598*p - 89401.
-(p + 299)**2
Solve -20*s**4 - 232*s**3 + 1916*s**2 + 1312*s - 816 = 0 for s.
-17, -1, 2/5, 6
Factor f**4 + 27*f**3 + 72*f**2.
f**2*(f + 3)*(f + 24)
Factor -2*k**3 - 34*k**2 - 76*k + 112.
-2*(k - 1)*(k + 4)*(k + 14)
What is f in 2*f**2 - 10*f = 0?
0, 5
Factor 2*t**2/3 + 16*t/3 - 6.
2*(t - 1)*(t + 9)/3
Factor c**3/2 + 9*c**2 + 45*c/2.
c*(c + 3)*(c + 15)/2
Suppose -45*f**4 - 125*f**3 + 75*f**2 + 125*f - 30 = 0. What is f?
-3, -1, 2/9, 1
Factor 4*h**2/7 + 44*h/7 - 48/7.
4*(h - 1)*(h + 12)/7
Factor 4*w**3 - 300*w**2 + 5148*w + 18252.
4*(w - 39)**2*(w + 3)
Factor -10*m**3/7 - 32*m**2/7 - 26*m/7 - 4/7.
-2*(m + 1)*(m + 2)*(5*m + 1)/7
Factor 3*f**2 - 1848*f - 3708.
3*(f - 618)*(f + 2)
Factor -k**4/3 + 31*k**3/3 + 73*k**2/3 - 235*k/3 + 44.
-(k - 33)*(k - 1)**2*(k + 4)/3
Factor 5*g**4 - 200*g**3 - 6215*g**2 - 37510*g.
5*g*(g - 62)*(g + 11)**2
Factor -208*r**3 + 688*r**2 - 660*r + 144.
-4*(2*r - 3)**2*(13*r - 4)
Factor -k**2 + 89*k - 88.
-(k - 88)*(k - 1)
Solve 4*v**5 + 36*v**4 + 76*v**3 + 12*v**2 - 80*v - 48 = 0 for v.
-6, -2, -1, 1
Find v such that -14*v**4 - 10*v**3 + 130*v**2 + 90*v - 36 = 0.
-3, -1, 2/7, 3
Find w, given that 2*w**5/5 + 6*w**4/5 - 836*w**3/5 = 0.
-22, 0, 19
What is z in 8*z**3/5 + 138*z**2/5 - 54*z - 76/5 = 0?
-19, -1/4, 2
Determine d, given that -5*d**2/4 - 19*d/4 + 1 = 0.
-4, 1/5
Solve 3*n**2/2 + 861*n + 247107/2 = 0.
-287
What is r in 10*r**5/9 - 2*r**4 - 20*r**3/9 + 4*r**2 + 10*r/9 - 2 = 0?
-1, 1, 9/5
Find m, given that -5*m**4 + 315*m**3 = 0.
0, 63
Find k such that -2*k**2 + 6*k - 4 = 0.
1, 2
Find z, given that z**2/5 - 563*z/5 = 0.
0, 563
Find v such that v**5/3 - v**4/3 - v**3/3 + v**2/3 = 0.
-1, 0, 1
Suppose 5*i**3 - 625*i**2 + 18560*i + 61440 = 0. Calculate i.
-3, 64
Determine u, given that 2*u**4/5 + 38*u**3/5 - 98*u**2/5 - 302*u/5 - 168/5 = 0.
-21, -1, 4
Factor 2*r**4 - 853*r**3 + 91161*r**2 - 44091*r - 136107.
(r - 213)**2*(r + 1)*(2*r - 3)
Find w, given that 45*w**4/7 - 249*w**3/7 + 414*w**2/7 - 108*w/7 - 24 = 0.
-7/15, 2
What is z in -2*z**3/7 + 30*z**2/7 + 104*z/7 + 72/7 = 0?
-2, -1, 18
Solve 4*p**2/7 - 16*p/7 + 16/7 = 0 for p.
2
Solve -4*u**2 - 5352*u = 0 for u.
-1338, 0
Factor -8*r**4 - 524*r**3 - 260*r**2.
-4*r**2*(r + 65)*(2*r + 1)
Let -3*j**3/5 + 84*j**2/5 + 177*j/5 + 18 = 0. What is j?
-1, 30
Factor -14*h**5 + 2440*h**4 - 106662*h**3 + 30276*h**2.
-2*h**2*(h - 87)**2*(7*h - 2)
What is d in d**5/4 - 3*d**3/4 - d**2/2 = 0?
-1, 0, 2
Solve 2*i**4 + 20*i**3 - 80*i**2 - 20*i + 78 = 0 for i.
-13, -1, 1, 3
Determine v so that -2*v**5/7 + 4*v**4/7 + 16*v**3/7 + 4*v**2/7 - 2*v - 8/7 = 0.
-1, 1, 4
Determine v, given that 2*v**5/7 - v**4 - v**3/7 + 26*v**2/7 - 4*v + 8/7 = 0.
-2, 1/2, 1, 2
Factor -c**2 + 19*c - 18.
-(c - 18)*(c - 1)
Determine d so that -55*d**4 - 1145*d**3 - 890*d**2 + 200*d = 0.
-20, -1, 0, 2/11
Suppose g**3/5 + 126*g**2/5 + 3564*g/5 - 26136/5 = 0. What is g?
-66, 6
What is h in -243*h**5 + 4050*h**4 - 18180*h**3 + 32840*h**2/3 - 7040*h/3 + 512/3 = 0?
2/9, 8
Solve 1225*m**5 + 20895*m**4 + 99191*m**3 + 84017*m**2 + 4560*m + 64 = 0.
-8, -1, -1/35
Factor 2*q**5/9 + 46*q**4/9 + 20*q**3 - 2200*q**2/9 - 14000*q/9.
2*q*(q - 7)*(q + 10)**3/9
Factor 4*t**2 + 28*t + 49.
(2*t + 7)**2
Let 4*l**2 - 1872*l + 219024 = 0. Calculate l.
234
Solve -10*w**4/13 - 292*w**3/13 - 194*w**2 - 416*w = 0 for w.
-13, -16/5, 0
Factor 3*s**5 - 12*s**4 - 660*s**3 + 4800*s**2.
3*s**2*(s - 10)**2*(s + 16)
Suppose -2*s**3/9 + 124*s**2/9 = 0. What is s?
0, 62
What is a in -21*a**3/2 - 45*a**2 - 12*a = 0?
-4, -2/7, 0
Factor 3*s**3 - 6720*s**2 + 13431*s - 6714.
3*(s - 2238)*(s - 1)**2
Solve 2*x**2/7 + 2596*x/7 = 0.
-1298, 0
Determine c so that -c**3 - 20*c**2 - 37*c - 18 = 0.
-18, -1
What is k in -5*k**5 - 20*k**4 - 20*k**3 + 10*k**2 + 25*k + 10 = 0?
-2, -1, 1
Solve -2*y**3 - 534*y**2 - 47526*y - 1409938 = 0.
-89
Let -5*c**3 + 730*c**2 - 26645*c = 0. Calculate c.
0, 73
Find d, given that -d**2/2 + 422*d = 0.
0, 844
Factor v**4 + 2*v**3 + v**2.
v**2*(v + 1)**2
Find o such that 5*o**5/8 - 3*o**4/4 - 9*o**3/8 + o**2/4 = 0.
-1, 0, 1/5, 2
Determine s so that -3*s**4 + 14*s**3 + 49*s**2 + 4*s - 28 = 0.
-2, -1, 2/3, 7
Let -2*s**5/3 - 275*s**4/6 + 349*s**3/6 - 35*s**2/3 = 0. What is s?
-70, 0, 1/4, 1
Find c, given that 4*c**2 - 156*c/7 - 72/7 = 0.
-3/7, 6
Suppose 8*z**2 + 4980*z - 2492 = 0. What is z?
-623, 1/2
Factor -20*l**3/3 + 2468*l**2/3 - 328*l.
-4*l*(l - 123)*(5*l - 2)/3
Find p such that -2*p**2 + 6*p - 4 = 0.
1, 2
Suppose 5*x**3 - 80*x**2 + 65*x + 150 = 0. What is x?
-1, 2, 15
Determine h, given that 2*h**5 + 325*h**4 + 804*h**3 + 641*h**2 + 160*h = 0.
-160, -1, -1/2, 0
Suppose 5*h**5 - 80*h**4 + 270*h**3 - 380*h**2 + 245*h - 60 = 0. What is h?
1, 12
Factor -2*k**2 - 166*k - 3404.
-2*(k + 37)*(k + 46)
Find a such that -2*a**5 - 2*a**4 + 8*a**3 + 8*a**2 = 0.
-2, -1, 0, 2
Find j, given that -j**5/5 - 2*j**4/5 + 7*j**3/5 + 8*j**2/5 - 12*j/5 = 0.
-3, -2, 0, 1, 2
Solve 9*t**4 - 133*t**3 + 537*t**2 - 315*t - 98 = 0.
-2/9, 1, 7
Let -2*r**3/9 + 40*r**2/9 + 568*r/9 + 320/3 = 0. What is r?
-8, -2, 30
Factor -2*d**2/5 - 1204*d/5 - 181202/5.
-2*(d + 301)**2/5
Find q, given that 6*q**4 + 1833*q**3 + 9915*q**2 + 4500*q = 0.
-300, -5, -1/2, 0
Factor -2*y**3/5 + 126*y**2/5 + 256*y + 1152/5.
-2*(y - 72)*(y + 1)*(y + 8)/5
Suppose -2*r**4 + 18*r**3 - 54*r**2 + 54*r = 0. Calculate r.
0, 3
What is m in -m**2/6 + 17*m/6 - 35/3 = 0?
7, 10
Factor 3*s**4/4 - 39*s**3/2 + 144*s**2 - 216*s.
3*s*(s - 12)**2*(s - 2)/4
Solve 3*j**4/8 - 309*j**3/8 + 7473*j**2/8 + 25281*j/8 = 0 for j.
-3, 0, 53
Suppose -4*d**3/3 + 28*d**2/3 - 64*d/3 + 16 = 0. What is d?
2, 3
Factor -5*n**3 + 365*n**2 - 1395*n + 1035.
-5*(n - 69)*(n - 3)*(n - 1)
Suppose -2*h**4/3 - 4*h**3/3 + 8*h**2/3 + 4*h/3 - 2 = 0. Calculate h.
-3, -1, 1
Solve -64*w**4/3 - 2800*w**3/3 + 1229*w**2 + 1311*w + 270 = 0 for w.
-45, -3/8, 2
What is m in -5*m**5 + 95*m**4 - 175*m**3 + 85*m**2 = 0?
0, 1, 17
Factor 5*h**4 + 75*h**3 + 70*h**2.
5*h**2*(h + 1)*(h + 14)
Suppose -8*v**3/3 - 1930*v**2/3 - 2402*v/3 - 160 = 0. Calculate v.
-240, -1, -1/4
Factor 2*l**2/5 - 320*l + 64000.
2*(l - 400)**2/5
Factor -g**2/3 + 5*g + 16/3.
