t u(k) = -8*k + 44. Let g be u(5). Let j(b) be the second derivative of -3*b - 1/4*b**g + 0 - 27/2*b**2 - 3*b**3. Suppose j(i) = 0. Calculate i.
-3
Let d = 45/22 + -6/11. Let j(v) be the first derivative of -4/3*v**3 - d*v**4 + 0*v + 0*v**2 + 3. Find p, given that j(p) = 0.
-2/3, 0
Let p(x) be the second derivative of -x**4/6 - 11*x**3/27 - 2*x**2/9 - 13*x. Solve p(a) = 0 for a.
-1, -2/9
Let d(b) be the first derivative of -1 + 3/5*b**5 - 2/3*b**3 + 3/2*b**2 - b - 1/6*b**6 - 1/2*b**4. Factor d(g).
-(g - 1)**4*(g + 1)
Let c(l) be the second derivative of 0 + 0*l**3 + 1/15*l**6 + 1/42*l**7 + 1/20*l**5 - l + 0*l**4 + 0*l**2. Let c(z) = 0. What is z?
-1, 0
Let i be ((-242)/6)/11 + 5. Let d(n) = 3*n - 3. Let k be d(2). Determine o so that -2/3*o**2 - o + 0*o**4 + i*o**k + 2/3 - 1/3*o**5 = 0.
-2, -1, 1
Let i(z) be the second derivative of z**6/100 - z**5/150 - 3*z**2 + 4*z. Let a(u) be the first derivative of i(u). Factor a(q).
2*q**2*(3*q - 1)/5
Let v = -1/42 - -11/21. Let l(f) be the first derivative of -1/3*f**3 + v*f**2 - 2 + 0*f. Find d, given that l(d) = 0.
0, 1
Let n(g) = 295*g**3 + 25*g**2 - 45*g - 25. Let p(z) = -74*z**3 - 6*z**2 + 11*z + 6. Let h(r) = -6*n(r) - 25*p(r). Determine k so that h(k) = 0.
-1/4, 0, 1/4
Let n(f) be the first derivative of -f**6/15 - 4*f**5/25 + 4*f**3/15 + f**2/5 + 7. Factor n(a).
-2*a*(a - 1)*(a + 1)**3/5
Let 0 - 4/13*a - 2/13*a**2 + 2/13*a**3 = 0. Calculate a.
-1, 0, 2
Let o(i) = -i**3 - 3*i**2 - 4*i - 2. Let b be o(-2). Suppose 0*s + b = s. Let c**3 - c**3 + 6*c**4 + 3*c**2 - 7*c**4 + s*c = 0. What is c?
-1, 0, 2
Let i(l) be the third derivative of l**7/1260 - l**5/180 + l**3/36 + 19*l**2. Let i(k) = 0. What is k?
-1, 1
Factor 2/5*t + 2/5*t**2 - 4/5.
2*(t - 1)*(t + 2)/5
Let w be (-4)/12 + 38/6. Let s be (1/2)/(9/w). Factor s + m**2 + 1/3*m**3 + m.
(m + 1)**3/3
Let w(j) = -4*j**3 - 15*j**2 - 8*j - 3. Let y = -14 + 11. Let f(z) = 20*z**3 + 74*z**2 + 40*z + 14. Let d(s) = y*f(s) - 14*w(s). Factor d(b).
-4*b*(b + 1)*(b + 2)
Let o(p) be the second derivative of 0 - 1/9*p**3 + 1/18*p**4 + 4*p - 2/3*p**2. Factor o(j).
2*(j - 2)*(j + 1)/3
Let g(q) = -q + 1. Let n be g(-3). Let -9*p**2 - p + 0*p**5 + 4*p**3 - 2*p**5 + n*p**4 + 4 - p + p**2 = 0. What is p?
-1, 1, 2
Let k = 97/126 + -5/7. Let m(n) be the first derivative of -2/9*n**3 + 1/6*n**2 + 0*n**4 + 2/15*n**5 + 0*n - 2 - k*n**6. Factor m(y).
-y*(y - 1)**3*(y + 1)/3
Suppose 4/9 - 2/9*q - 2/9*q**2 = 0. What is q?
-2, 1
Let p(h) = h**3 - 8*h**2 + 10*h + 2. Let z be p(7). Let k = z + -21. Let -8/5*w**5 + 12/5*w + 16/5*w**k - 18/5*w**4 + 2/5 - 4/5*w**3 = 0. What is w?
-1, -1/4, 1
Determine i so that -24/7 - 16/7*i**2 + 100/7*i = 0.
1/4, 6
Factor 1/5*f**2 + 2/5*f + 0 - 1/5*f**3.
-f*(f - 2)*(f + 1)/5
Let t(s) be the second derivative of -s**4/30 - s**3/15 + 2*s**2/5 + 10*s. Factor t(z).
-2*(z - 1)*(z + 2)/5
Let r be (-26)/(-5)*(-15)/3. Let w be 4/r + (-12)/(-78). Determine j, given that w + 2/7*j**2 + 2/7*j = 0.
-1, 0
Let v(h) = h + 2. Let y be v(3). Suppose -y*b + 10 = -0*b. Factor 4 - 2*w**2 + 2*w - 2*w**2 + b*w**2.
-2*(w - 2)*(w + 1)
Let o(v) = -7*v**2 + 4*v - 3. Suppose 0 = -0*h + h, 35 = 5*q - 5*h. Let y(l) = 22*l**2 - 11*l + 10. Let s(r) = q*o(r) + 2*y(r). Factor s(k).
-(k - 1)*(5*k - 1)
Let r = 1/298 - -1339/596. Find b such that 3/4*b**2 - 3*b + r = 0.
1, 3
Solve 2/3*o**3 + 2*o + 2/3 + 2*o**2 = 0 for o.
-1
Suppose -4 = 4*i - 0. Let k(b) = -3*b**3 + b. Let l be k(i). Factor 2/9*t**l + 0 - 4/9*t.
2*t*(t - 2)/9
Let d be (0/3)/(-6 - -4). Solve -3/2*j**2 + d + j = 0.
0, 2/3
Let i be 1 - (-6)/2 - 2. Suppose 30 = 2*r + 3*r - i*k, -r - 5*k = 21. Factor 0*g + 0*g**2 + 5/3*g**5 - r*g**4 + 4/3*g**3 + 0.
g**3*(g - 2)*(5*g - 2)/3
Let p(l) be the first derivative of l**5/5 - l**2/2 + l - 1. Let x be 1/5 + 8/10. Let g(u) = 2*u**4 + 2*u**2 - 4*u + 4. Let v(q) = x*g(q) - 4*p(q). Factor v(f).
-2*f**2*(f - 1)*(f + 1)
Suppose -4*y - 4*y = 0. Let f(s) be the first derivative of 3 + 0*s**2 + 2/5*s**5 + 2/9*s**3 - 2/3*s**4 + y*s. Determine c, given that f(c) = 0.
0, 1/3, 1
Let g(x) be the first derivative of x**6/6 - x**5/5 - x**4/2 + 3. Factor g(d).
d**3*(d - 2)*(d + 1)
Let x be (-8)/(-3) - (-7 - 276/(-36)). Find l such that -11/3*l - 2/3 + 2/3*l**x + 11/3*l**3 = 0.
-1, -2/11, 1
Let p(n) = -3*n**2 + 4 + 2 + 2*n**2 - 2*n. Let b(t) = -1. Let i(q) = -6*b(q) - p(q). Factor i(g).
g*(g + 2)
Let w be (0*3/(-9))/(-1). Let x(y) be the first derivative of 0*y**3 - 2 + 27/10*y**6 + 1/5*y**4 - 36/25*y**5 + 0*y + w*y**2. Factor x(c).
c**3*(9*c - 2)**2/5
Let m(x) be the first derivative of -x**7/210 + x**6/120 - 2*x**2 - 5. Let k(z) be the second derivative of m(z). Factor k(u).
-u**3*(u - 1)
Let t = -25 - -22. Let z = 5 + t. Factor -5/2*m**2 - 6*m - z.
-(m + 2)*(5*m + 2)/2
Factor -1/4*k**2 - 1/4*k**5 + 0*k + 1/4*k**3 + 1/4*k**4 + 0.
-k**2*(k - 1)**2*(k + 1)/4
Let q(n) = n**2 + 10*n + 18. Let b be q(-8). Let u + 0 - 1/2*u**b = 0. Calculate u.
0, 2
Suppose 6*s = 21 + 15. Let f(p) be the first derivative of -1/4*p**4 + 1/6*p**s - 2/15*p**5 - 1 + 2/9*p**3 + 0*p**2 + 0*p. Determine g, given that f(g) = 0.
-1, 0, 2/3, 1
Let n(f) be the third derivative of f**5/20 + f**4/8 + 12*f**2. Suppose n(m) = 0. Calculate m.
-1, 0
Suppose 2*z - 5*c + 9 = -7, -3*z + 2*c - 2 = 0. Determine n so that 4/3*n**3 + 0*n - 14/3*n**5 - 10/3*n**4 + 0 + 0*n**z = 0.
-1, 0, 2/7
Let h(s) be the first derivative of 2*s**3/3 + 8*s**2 + 32*s - 2. Suppose h(q) = 0. What is q?
-4
Let g be (9/4)/((-3)/8). Let i = g + 8. Suppose 0*s**3 + s**4 - 23*s - s**i + 3*s**3 + 22*s - 2*s**3 = 0. Calculate s.
-1, 0, 1
Let g(k) = -k**4 - k**2 - k**3 + k + 0*k**2 + k**3 - 1. Let n(u) = 3*u + 6 + 3*u**3 + 3*u**4 - 2*u + 9*u**2 - 10*u. Let x(f) = -6*g(f) - n(f). Factor x(a).
3*a*(a - 1)**2*(a + 1)
Let j(i) = 4*i**4 - 15*i**3 + 2*i**2 + 20*i - 6. Let y(a) = -3*a**4 + 15*a**3 - 3*a**2 - 21*a + 6. Let q(z) = -6*j(z) - 5*y(z). Find x, given that q(x) = 0.
-1, 2/3, 1
Let h(m) be the third derivative of m**7/42 + m**6/12 - m**5/12 - 5*m**4/12 + 32*m**2. Determine k so that h(k) = 0.
-2, -1, 0, 1
Let d(z) = 7*z**4 + z**3 + z**2 - 3*z - 6. Let v(r) = -r**4 - r**2 + r + 1. Let a(n) = -5*d(n) - 30*v(n). Factor a(l).
-5*l*(l - 1)**2*(l + 3)
Let p(v) be the third derivative of -v**7/1260 + v**6/270 - v**5/180 + v**4/24 + v**2. Let r(n) be the second derivative of p(n). Solve r(y) = 0.
1/3, 1
Let q = 544/2051 + 6/293. Determine x so that 2/7*x**2 - 2/7*x**3 + 2/7*x - q = 0.
-1, 1
Let y(d) be the third derivative of d**8/168 - d**7/15 + 11*d**6/60 - d**5/6 - d**2. Factor y(n).
2*n**2*(n - 5)*(n - 1)**2
Let q(l) be the second derivative of -l**8/1120 + 13*l**7/1260 - 2*l**6/45 + l**5/15 - 5*l**4/6 + 7*l. Let z(v) be the third derivative of q(v). Factor z(w).
-2*(w - 2)**2*(3*w - 1)
Let a(s) be the first derivative of -1/10*s**4 + 0*s**3 - 6 + 3/5*s**2 + 4/5*s. Factor a(c).
-2*(c - 2)*(c + 1)**2/5
Let h(n) = 4*n. Let p be h(4). Factor -8 + p*y**2 + 6*y**2 - 12*y - 26*y**2.
-4*(y + 1)*(y + 2)
Let u(y) be the first derivative of -5*y**6/504 - y**5/84 - y**4/168 - y**3 + 5. Let q(k) be the third derivative of u(k). Factor q(h).
-(5*h + 1)**2/7
Let i(r) be the third derivative of r**7/7560 + 5*r**4/24 + 7*r**2. Let u(k) be the second derivative of i(k). Factor u(y).
y**2/3
Let p(h) = -h**2 - 7*h - 12. Let a be p(-8). Let k be ((-32)/a)/(-4)*-5. Factor 0 - 2/5*t + 2/5*t**k.
2*t*(t - 1)/5
Let d(q) = -9*q**4 + 7*q**3 - 4*q**2 - 3*q. Let b(k) = -8*k**4 + 8*k**3 - 4*k**2 - 2*k. Let t(c) = 6*b(c) - 4*d(c). Find j, given that t(j) = 0.
0, 2/3, 1
Let o(f) = f + 7. Let y be o(-8). Let j(q) = -4*q. Let s be j(y). Solve -2*g**2 + 0*g - g**2 - 6*g - s + g**2 = 0 for g.
-2, -1
Let a = 2 + 4. Factor 4*c**2 + c + 2*c**2 - a - 3*c + 3*c**3 - c.
3*(c - 1)*(c + 1)*(c + 2)
Let d = 15/17 + -73/102. Solve d*t**5 + 0*t**3 + 1/3*t**2 + 0 - 1/3*t**4 - 1/6*t = 0.
-1, 0, 1
Let m(g) be the first derivative of -1/15*g**3 - 1/10*g**2 + 8 + 2/5*g. Let m(h) = 0. What is h?
-2, 1
Determine s, given that 2/5*s**4 + 8/5 - 6/5*s**2 - 8/5*s + 4/5*s**3 = 0.
-2, 1
Let u(a) be the second derivative of a**6/360 + a**5/60 + a**4/24 + a**3/18 + a**2/2 + a. Let w(p) be the first derivative of u(p). What is o in w(o) = 0?
-1
Let j(i) = -4*i - 55. Let h be j(-14). Let k(n) be the first derivative of -h + 0*n**2 