+ 3/4*q**2. Find o, given that a(o) = 0.
-1, -1/4, 0, 2/5
Let q = 123 - 121. Let k(y) be the first derivative of 0*y**2 + 0*y - 1/5*y**5 + 0*y**3 - q + 1/4*y**4. Factor k(x).
-x**3*(x - 1)
Let r(b) = -5*b**3 + b**2 + 6*b. Let p(x) = x**3 - x. Suppose -5*u + q + 61 = 3*q, 5*u - 49 = 2*q. Let v(i) = u*p(i) + 2*r(i). Suppose v(z) = 0. Calculate z.
-1, 0
Let b = 139 + -139. What is f in 3/2*f**3 + b - 27/4*f**4 + 21/4*f**5 + 0*f + 0*f**2 = 0?
0, 2/7, 1
Solve 8/9*f + 8/9*f**3 - 2/9 - 2/9*f**4 - 4/3*f**2 = 0 for f.
1
Factor -14/3*o - 20/3 + 8/3*o**2 + 2/3*o**3.
2*(o - 2)*(o + 1)*(o + 5)/3
Let j = -2 + 4. Let s be (87/j)/3 + 1. Solve 15/2*i**4 - 1 + 15/2*i**2 + 3/2*i - s*i**3 = 0 for i.
-1/3, 2/5, 1
Let i be ((-2)/(-2) - 2)*-1. Find m, given that -2*m + m - 5 + 7*m + i - 2*m**3 = 0.
-2, 1
Let c = -469/5 - -94. Factor c*k**4 + 0 + 1/5*k**3 - 1/5*k**2 - 1/5*k.
k*(k - 1)*(k + 1)**2/5
Let r(v) = -6*v - 12. Let c be r(-2). Suppose 0*f + 2/13*f**2 + c = 0. Calculate f.
0
Let b = -36 + 36. Let x(s) be the first derivative of 1/6*s**4 - 2/9*s**3 + 2 + 2/15*s**5 + b*s - 1/3*s**2. Find t such that x(t) = 0.
-1, 0, 1
Let p(b) be the third derivative of b**8/3696 - 2*b**7/1155 + b**6/264 - b**5/330 - 12*b**2. Factor p(g).
g**2*(g - 2)*(g - 1)**2/11
Let v = -8 + 15. Let c be (27/(-126))/((-6)/v). Factor 5/4*r - r**2 - c.
-(r - 1)*(4*r - 1)/4
Let n(c) = 120*c**3 + 1055*c**2 + 3095*c. Let p(t) = 7*t**3 + 62*t**2 + 182*t. Let j(o) = -2*n(o) + 35*p(o). Factor j(a).
5*a*(a + 6)**2
Suppose 17*p**3 + 25*p**4 + 5*p**5 - 2 - 10*p**2 + 13*p**3 - 13 - 35*p = 0. Calculate p.
-3, -1, 1
Let n(h) = -h**2 + 10*h + 4. Suppose -4*a + 56 = 16. Let s be n(a). Factor -3*o**s - 2*o**5 - o**4 + 2*o**4.
-2*o**4*(o + 1)
Let n be ((-1)/(-1 + 0))/4. Let g = 7/3 + -25/12. Find s such that 1/4*s**2 + 1/4*s**3 - n - g*s = 0.
-1, 1
Factor 0 - 8/5*d**2 + 2/5*d**3 + 4/5*d**4 - 6/5*d.
2*d*(d + 1)**2*(2*d - 3)/5
Let s(d) be the third derivative of -d**5/240 + d**4/32 - d**3/12 - 3*d**2. Factor s(z).
-(z - 2)*(z - 1)/4
Let l(n) be the second derivative of n**5/150 - n**4/90 - 4*n**3/45 + 4*n**2/15 + 2*n. Factor l(g).
2*(g - 2)*(g - 1)*(g + 2)/15
Let r be (20 - 20) + (-3)/(-7). Factor -r*a**3 + 12/7*a**2 - 15/7*a + 6/7.
-3*(a - 2)*(a - 1)**2/7
Suppose -5*r + 12*o + 12 = 10*o, -3*o = -5*r + 13. Find f, given that -2/3*f**3 + 0 + 2/3*f**4 + 2/3*f - 2/3*f**r = 0.
-1, 0, 1
Let x be (-1)/(-2) + 4/(96/100). Factor -46/3*a**4 - 4/3*a - 18*a**3 - x*a**5 - 26/3*a**2 + 0.
-2*a*(a + 1)**3*(7*a + 2)/3
Let q be 9/(-4)*16/(-6). Let n(b) = 6*b - 3 - 5*b + 4. Let h(a) = -15*a**4 + 31*a**3 - 20*a**2 + 10*a + 6. Let v(s) = q*n(s) - h(s). Factor v(d).
d*(d - 1)*(3*d - 2)*(5*d - 2)
Let v(y) be the third derivative of -y**5/45 - y**4/12 + 2*y**3/9 - 5*y**2. Determine f, given that v(f) = 0.
-2, 1/2
Let -10 + 52*t**3 + 45*t**3 - 20*t**2 - 25*t - 102*t**3 = 0. What is t?
-2, -1
Suppose 5*f = -5 + 15. Factor f*y + y + y**2 - 3*y.
y**2
Suppose 0 = 4*o + 3*z - 13 - 9, 5*z - 30 = -5*o. Determine g, given that 2*g**2 - g**o - 8/3 - 7/3*g**3 + 4*g = 0.
-2, 2/3, 1
Let s be (8/(-20))/((-1)/(-85)). Let p = 103/3 + s. Factor 1/3*c - 1/3*c**3 - p*c**2 + 0 + 1/3*c**4.
c*(c - 1)**2*(c + 1)/3
Let z be (-40)/(-5) - (7 - (1 + 2)). Determine p, given that 16/17 - 12/17*p**z - 22/17*p**3 + 24/17*p - 2/17*p**5 - 4/17*p**2 = 0.
-2, -1, 1
Let k = 2/1321 - -5274/6605. Solve 14/5*p**2 - 2*p - k = 0.
-2/7, 1
Let h(w) be the first derivative of w**7/84 - w**6/60 - 3*w - 1. Let d(m) be the first derivative of h(m). Find f, given that d(f) = 0.
0, 1
Let p(o) = -o**2 + 1. Let w(s) = -20*s**2 + 30*s + 70. Let l(u) = -25*p(u) + w(u). Let l(m) = 0. What is m?
-3
Let l(n) be the first derivative of 9*n**4/5 + 28*n**3/15 - 4*n**2/5 + 7. Factor l(d).
4*d*(d + 1)*(9*d - 2)/5
Let o(g) be the first derivative of 11*g**5/60 - g**4/12 - 3*g**2/2 + 1. Let q(p) be the second derivative of o(p). Factor q(r).
r*(11*r - 2)
Let g = -337 + 1021/3. Solve g*f**3 - 4/3*f**2 + 0 + 0*f = 0.
0, 2/5
Let f be (-12)/(-18)*(-6)/(-4). Determine x so that -4*x - 2 + x**2 + 3 + f + x = 0.
1, 2
Suppose 0 = 2*o - 0*o - 2. Factor -o - 12*x + x**2 + 12*x.
(x - 1)*(x + 1)
Let q = -14 - -21. Factor -28*g - 23*g**3 + 7*g**3 - 11*g**2 - q*g**4 + 26*g.
-g*(g + 1)**2*(7*g + 2)
Suppose -5*w + 12 = -2*w. Let d be (2 + 0)*(1 + 1). Factor s + 6*s**3 - 2*s**5 + 7*s**2 + w*s**d + 3*s**5 - 3*s**2.
s*(s + 1)**4
Let t = 21 + -18. Let i be (-12)/10 + (t - 1). Factor i + 2/5*b - 2/5*b**3 - 4/5*b**2.
-2*(b - 1)*(b + 1)*(b + 2)/5
Let l = 24 - 24. Factor -3*d - 72*d**3 - 24*d**4 - 24*d**4 + l*d - 27*d**2.
-3*d*(d + 1)*(4*d + 1)**2
Let u(k) = -6*k + 80. Let q be u(13). Factor 0 - t**4 + 1/3*t**5 + t**3 + 0*t - 1/3*t**q.
t**2*(t - 1)**3/3
Suppose 2*a + 6 = -0. Let f be (56/(-147))/(2/a). Find c, given that f*c**4 + 2/7*c + 0 - 2/7*c**3 - 4/7*c**2 = 0.
-1, 0, 1/2, 1
Let j(d) = -1 + 2*d - 4 - 5*d**3 + 2*d**5 - 7*d. Let a(b) = 3*b**5 - 8*b**3 - 8*b - 8. Let z(g) = 5*a(g) - 8*j(g). Factor z(w).
-w**5
Let j be 1/6*(1 - -1). Let s(m) be the first derivative of 0*m - 1 + j*m**3 - m**2. Factor s(k).
k*(k - 2)
Let d(z) be the second derivative of z**5/20 - 11*z**4/48 - z**3/8 + 51*z. Factor d(l).
l*(l - 3)*(4*l + 1)/4
Let m = -179 + 182. Factor 0 + 1/2*z - 1/2*z**m + 0*z**2.
-z*(z - 1)*(z + 1)/2
Let w(f) be the first derivative of f**4/10 + 4*f**3/5 - f**2/5 - 12*f/5 - 29. Factor w(l).
2*(l - 1)*(l + 1)*(l + 6)/5
Let o(n) = 100*n**2 - 60*n - 51. Let w(b) = 20*b**2 - 12*b - 10. Let t(x) = 2*o(x) - 11*w(x). Find h, given that t(h) = 0.
-2/5, 1
Let b(a) = a**2 + 3*a - 6. Let x be b(-5). Factor 0 - 2/9*l**5 + 0*l - 2/3*l**x - 2/3*l**3 - 2/9*l**2.
-2*l**2*(l + 1)**3/9
Let p(w) be the first derivative of w**7/231 + 2*w**6/165 + w**5/110 - 2*w + 3. Let m(x) be the first derivative of p(x). Find l such that m(l) = 0.
-1, 0
Let y(l) be the first derivative of l**8/840 - l**7/180 + l**6/108 - l**5/180 + l**3 + 3. Let m(p) be the third derivative of y(p). Factor m(b).
2*b*(b - 1)**2*(3*b - 1)/3
Let m(u) be the first derivative of u**4/14 + 4*u**3/7 + 12*u**2/7 + 16*u/7 - 2. Factor m(j).
2*(j + 2)**3/7
Let o be ((1 - 1)*1)/(-2). Suppose o = -2*k + 2 + 2. Suppose j**3 + 1/2*j**4 + 1/2*j**k + 0*j + 0 = 0. Calculate j.
-1, 0
Let f(n) be the second derivative of -n**6/30 + n**5/4 - 3*n**4/4 + 7*n**3/6 - n**2 + 10*n. Factor f(b).
-(b - 2)*(b - 1)**3
Let j(t) = -3*t**2 - 15*t - 2. Let u(z) = 1. Let s(k) = j(k) + 2*u(k). Factor s(c).
-3*c*(c + 5)
Let y(m) be the first derivative of -m**5/20 + m**4/16 + m**3/4 - 5*m**2/8 + m/2 - 6. Find k, given that y(k) = 0.
-2, 1
Suppose 3*s - 4*l - 5 = l, 5*s = -3*l - 37. Let g = 8 + s. Let 0 + 0*q + 1/5*q**2 + 1/5*q**4 - 2/5*q**g = 0. What is q?
0, 1
Let g(m) = 16*m**5 - 4*m**4 - 6*m**3 + 26*m**2 + m. Let u(k) = -3*k**5 + k**4 + k**3 - 5*k**2. Let i(q) = -2*g(q) - 11*u(q). Factor i(j).
j*(j - 2)*(j - 1)**2*(j + 1)
Let l be (1/(-7) - 50/(-252))*32. Suppose 8/9*m**3 - l*m**4 + 2/9*m - 10/9*m**5 + 20/9*m**2 - 4/9 = 0. What is m?
-1, 2/5, 1
Suppose -11*h + 13*h = 10. Let y(z) be the first derivative of -54*z**h - 225/2*z**4 - 290/3*z**3 - 40*z**2 - 9*z**6 - 2 - 8*z. What is s in y(s) = 0?
-2, -1/3
Let o(p) be the first derivative of -2*p**3/15 - p**2/5 - 2. Let o(x) = 0. What is x?
-1, 0
Suppose -23*b - 6 = -75. Factor -2/5*l**2 + 2/5 - 2/5*l**b + 2/5*l.
-2*(l - 1)*(l + 1)**2/5
Let w(s) be the second derivative of -2/27*s**3 + 1/9*s**2 + 0 - 2*s + 1/54*s**4. Factor w(o).
2*(o - 1)**2/9
Let k = 1 + 2. Let p be 2/10 - (-1)/(-5). Factor 1/5*g**2 + 2/5*g**k + 0*g + p + 1/5*g**4.
g**2*(g + 1)**2/5
Find u, given that 0 + 2/3*u - u**3 - 1/3*u**2 = 0.
-1, 0, 2/3
Let o(p) be the second derivative of 1/60*p**5 + 0*p**3 - 1/126*p**7 - 1/90*p**6 + 0 + 2*p + 0*p**2 + 1/36*p**4. Factor o(g).
-g**2*(g - 1)*(g + 1)**2/3
Let q(a) be the third derivative of -4/9*a**3 + 1/120*a**6 + 1/18*a**5 + 0 + 0*a + 1/18*a**4 + 4*a**2. Solve q(c) = 0.
-2, 2/3
Let j(o) be the third derivative of o**9/52920 + o**8/7840 + o**7/4410 + o**4/6 - o**2. Let y(i) be the second derivative of j(i). Suppose y(r) = 0. What is r?
-2, -1, 0
Let f = -57 + 82. Let x be (20/f)/(4/10). Factor -2/7 + 0*d + 2/7*d**x.
2*(d - 1)*(d + 1)/7
Determine v, given that 2*v**5 - v**5 - v**2 + v**3 + 4*v**2 + 29*v**4 - 32*v**4 - 2*v = 0.
-1, 0, 1, 2
Suppos