 given that z(b) = 0.
-1, 0, 1
Let y(p) be the first derivative of -25*p**4/48 + 5*p**3/6 - p**2/2 + p - 3. Let v(t) be the first derivative of y(t). Suppose v(j) = 0. Calculate j.
2/5
Let h(g) = 7*g**3 + 3*g**2 - 10*g + 4. Let d(w) = 6*w**3 + 3*w**2 - 9*w + 3. Let k(s) = 4*d(s) - 3*h(s). Let k(u) = 0. Calculate u.
-2, 0, 1
Let n = -3/373 - -2623/1492. Suppose 0 - 3/4*u**4 - n*u**2 + 1/2*u + 2*u**3 = 0. Calculate u.
0, 2/3, 1
Let h = -19 - -25. Let b be 10/h*1 - 1. Solve -b*t**2 + 1/3*t + 0 + 1/3*t**3 = 0 for t.
0, 1
Let -8*j**3 + 2*j**3 - j**2 + 5*j**3 = 0. What is j?
-1, 0
Let n = 41 - 39. Let p(j) be the second derivative of 1/18*j**5 + 4/135*j**6 - 5/27*j**3 - 1/9*j**n + 0 - 1/18*j**4 + j. Determine t, given that p(t) = 0.
-1, -1/4, 1
Let m = 16/5 - 38/15. Factor 1/6*g**2 + m - 2/3*g.
(g - 2)**2/6
Let r = -1 - -1. Suppose r = p + p - 3*q - 17, -q = 5*p - 17. Factor -7*n**5 - 6*n**2 + 2 - 4*n**3 + 5*n**p + 11*n + 20*n**2 - 21*n**4.
-(n - 1)*(n + 1)**3*(7*n + 2)
Let u(v) = -v + 9. Let t be u(7). Let x(n) be the first derivative of -1/4*n**4 - t - 1/6*n**2 + 1/3*n**3 + 0*n + 1/15*n**5. Factor x(k).
k*(k - 1)**3/3
Let j(q) = -5*q**2 + 27*q + 25. Let w(s) = 2*s**2 - 13*s - 12. Let b(d) = -3*j(d) - 7*w(d). Factor b(k).
(k + 1)*(k + 9)
Determine h, given that 21/5*h - 24/5*h**2 - 6/5 + 9/5*h**3 = 0.
2/3, 1
Let d(f) be the third derivative of -f**8/112 + 3*f**7/70 - 3*f**6/40 + f**5/20 + 2*f**2. Solve d(j) = 0.
0, 1
Let n be (10/25)/((-42)/(-35)). Find a such that a**2 + 0 + 2/3*a + n*a**3 = 0.
-2, -1, 0
Find l, given that -80*l + 36*l + 20 + 28*l - 4*l**2 = 0.
-5, 1
Let m(f) = 11*f**2 + 20*f + 2. Suppose -3*u + 25 = 2*u. Let g(q) = -23*q**2 - 40*q - 3. Let n(s) = u*m(s) + 2*g(s). Determine l, given that n(l) = 0.
-2, -2/9
Let h(k) be the third derivative of -49*k**5/60 - 7*k**4/12 - k**3/6 - 34*k**2. Solve h(a) = 0 for a.
-1/7
Let i(l) be the second derivative of -1/10*l**6 - 3/20*l**5 + 0*l**4 + 0 + 0*l**3 - 6*l + 0*l**2. Suppose i(s) = 0. Calculate s.
-1, 0
Let i(b) be the second derivative of -b**4/18 - 10*b**3/9 - 51*b. Factor i(z).
-2*z*(z + 10)/3
Suppose 0 = 8*m - 6*m. Factor 0*p + 0*p**2 - 2/3*p**4 - 2/3*p**3 + m.
-2*p**3*(p + 1)/3
Suppose 0 = -6*v + v. Let r(h) be the second derivative of -h - 1/10*h**4 - 1/15*h**3 + 0*h**2 + v. Factor r(o).
-2*o*(3*o + 1)/5
Let f(o) be the third derivative of -o**6/24 + o**5/2 - 15*o**4/8 + 33*o**2. Determine r so that f(r) = 0.
0, 3
Let z = 16 - 12. Solve a**4 - 5*a**4 + 2*a**z = 0 for a.
0
Let g(j) be the second derivative of -j**7/3150 + j**6/1800 + j**5/100 + j**4/2 + 6*j. Let f(p) be the third derivative of g(p). Solve f(s) = 0 for s.
-1, 3/2
Let c(m) be the third derivative of 0*m**3 + 0*m**4 + 3*m**2 + 0*m - 1/120*m**5 + 0. Factor c(h).
-h**2/2
Suppose b - 4*b = -9. Let o be 0 + 5 + (0 - b). Find k, given that 4/5 - 2*k**o - 6/5*k = 0.
-1, 2/5
Let s(c) be the first derivative of 1/48*c**4 - c + 1/8*c**2 - 1/12*c**3 + 2. Let x(y) be the first derivative of s(y). Factor x(k).
(k - 1)**2/4
Let p = -5/6 + 25/12. Find d, given that 1/2 + p*d - 5/4*d**3 + 1/4*d**2 - 3/4*d**4 = 0.
-1, -2/3, 1
Suppose 4/7 - 4/7*g**2 + 2/7*g**3 - 2/7*g = 0. Calculate g.
-1, 1, 2
Let t(m) be the first derivative of m**6/3 + 2*m**5/5 - m**4 - 4*m**3/3 + m**2 + 2*m - 2. Suppose t(r) = 0. Calculate r.
-1, 1
Determine y, given that -2/7*y**2 + 2/7*y + 0 = 0.
0, 1
Let l(j) = j - 2. Let a(o) = -o - 2. Let x be a(-7). Let w be l(x). Factor 0*h**3 - h + h**2 + 3*h + h**w - 2*h**3.
-h*(h - 2)*(h + 1)
Find c such that 0*c - 3/4 + 3/4*c**2 = 0.
-1, 1
Let j(u) be the third derivative of -u**7/70 - u**6/40 + u**5/20 + u**4/8 + u**2. Factor j(k).
-3*k*(k - 1)*(k + 1)**2
Let c(u) be the first derivative of -u**9/1512 - u**8/420 + u**6/90 + u**5/60 - u**3 + 3. Let t(d) be the third derivative of c(d). What is m in t(m) = 0?
-1, 0, 1
Let c(f) be the third derivative of -f**5/45 + f**4/18 + 4*f**3/9 - 9*f**2. Determine j, given that c(j) = 0.
-1, 2
Let t(m) = -m**2 - 4*m + 1. Let l be t(-5). Let y = -3 - l. Let -y + 15*s**4 + 10*s**2 + 0*s + 3*s - 20*s**3 - 3*s - 4*s**5 = 0. What is s?
-1/4, 1
Let b = -19 + 22. Factor 0 - 6/5*d - 3/5*d**4 + 3/5*d**2 + 6/5*d**b.
-3*d*(d - 2)*(d - 1)*(d + 1)/5
Let s(r) be the first derivative of r**6/1080 + 2*r**3/3 + 1. Let d(t) be the third derivative of s(t). Determine i so that d(i) = 0.
0
Suppose 12 = 4*v - 0*v. Let y = 41 - 41. Factor -1/4*b**4 + y*b - 1/2*b**v + 0 - 1/4*b**2.
-b**2*(b + 1)**2/4
Let w(r) = -r**3 - 4*r**2 - 2*r + 3. Let c be w(-3). Let l be (-3 - c)/((-3)/5). Factor 0 + 0*t**3 + 1/2*t**l - 1/2*t - t**4 + t**2.
t*(t - 1)**3*(t + 1)/2
Let y(p) = -2*p**4 + 2*p**3 - 2*p - 4. Let l(w) = w**4 + 1. Let q be (-2)/(4/(-6))*-1. Let f(d) = q*l(d) - y(d). Suppose f(i) = 0. What is i?
-1, 1
Factor 0*f**2 - 1/6*f**5 - 1/3*f**4 + 0 + 0*f - 1/6*f**3.
-f**3*(f + 1)**2/6
Let b(t) be the first derivative of 0*t + 1/12*t**4 + 0*t**3 + 1/2*t**2 + 1 + 1/30*t**5. Let l(r) be the second derivative of b(r). Find p, given that l(p) = 0.
-1, 0
Let w(l) be the second derivative of -l**5/4 + 5*l**3/6 + 8*l. Let w(t) = 0. Calculate t.
-1, 0, 1
Let x(n) be the first derivative of n**6/3 - 2*n**5/5 + 17. Solve x(w) = 0 for w.
0, 1
Let j(t) be the second derivative of -4/3*t**3 - 1/10*t**5 + 0 - 1/2*t**4 - 1/120*t**6 - 3*t - 2*t**2. Solve j(h) = 0.
-2
Let q be ((-2)/8)/(-2*3/48). Let w(b) be the second derivative of 0 + 0*b**2 - 1/12*b**4 - 1/3*b**3 - q*b. Factor w(c).
-c*(c + 2)
Let d(y) = 11*y**4 - y**3 - 17*y**2 + 4*y + 3. Let c(f) = -21*f**4 + f**3 + 35*f**2 - 8*f - 7. Let u(h) = -6*c(h) - 14*d(h). Factor u(k).
-4*k*(k - 1)*(k + 1)*(7*k - 2)
Let j(p) be the second derivative of p**8/168 - 4*p**7/315 - p**6/180 + p**5/45 - p**2/2 - p. Let z(o) be the first derivative of j(o). Factor z(q).
2*q**2*(q - 1)**2*(3*q + 2)/3
Let v(b) be the third derivative of -b**6/60 - b**5/30 - 3*b**2. Let v(n) = 0. What is n?
-1, 0
Let l(w) be the second derivative of 1/6*w**3 + 0 - 1/30*w**5 - 1/18*w**4 - 1/126*w**7 - 1/6*w**2 + 1/30*w**6 + 2*w. Suppose l(q) = 0. Calculate q.
-1, 1
Suppose s - 5*s = -68. Factor -3 + 0 - s*v - 75*v**2 - 13*v.
-3*(5*v + 1)**2
Let d(k) = -k**2 - 6*k + 16. Let q be d(-8). Let c(r) be the second derivative of 1/6*r**4 + 1/2*r**2 - 5/12*r**3 + q - 3*r - 1/40*r**5. Factor c(x).
-(x - 2)*(x - 1)**2/2
Suppose -2 = 3*w + 5*n + 14, -w + 18 = -3*n. Factor 3/4*o - 1/4 - 3/4*o**2 + 1/4*o**w.
(o - 1)**3/4
What is v in 1/2*v**2 + 0 + 1/2*v = 0?
-1, 0
Factor 5*s**2 + 5*s**3 - 4*s + 8*s - 4*s - 5*s**4 - 5*s.
-5*s*(s - 1)**2*(s + 1)
Let o be (0/(4 - (-2 - -3)))/2. Factor 1/2*f**2 - 1/2*f + o.
f*(f - 1)/2
Factor -1/4*b + 1/4 + 1/4*b**3 - 1/4*b**2.
(b - 1)**2*(b + 1)/4
Let z = 5 + -3. Determine o, given that 3*o - z + 2*o - 2*o - 2*o**2 + o = 0.
1
Suppose 2 + 10 = 4*q. Suppose 5*z + 5*j - 5 = 0, z = -q*j - 5 + 2. Solve 4*u**5 + u**2 - 1 - 8*u**5 + 0*u - 3*u + 7*u**z = 0.
-1, -1/2, 1
Let t be ((-3)/2)/((-30)/1). Let o(a) be the second derivative of -2*a - 1/10*a**3 + t*a**4 + 0 + 1/10*a**2 - 1/100*a**5. Factor o(g).
-(g - 1)**3/5
Let g be -1 + -1 - (-198)/90. Factor 1/5*q**3 + 0 - 1/5*q**4 - 1/5*q**5 + g*q**2 + 0*q.
-q**2*(q - 1)*(q + 1)**2/5
Let f(x) be the second derivative of x**5/30 - 4*x**3/3 - 3*x**2 - 5*x. Let y(a) be the first derivative of f(a). Solve y(m) = 0 for m.
-2, 2
Suppose 0*m - 2 = -m. Factor -3/4*f**m + 1/4*f**3 + 1/2*f + 0.
f*(f - 2)*(f - 1)/4
Let z be ((-4)/(-10))/((-2)/(-10)). Let i be -2 - (-19 + (-1 - -1)). Find v, given that -7*v**2 + 4 - i*v + 3*v - 11*v**z = 0.
-1, 2/9
Let u(s) = 9*s**2 - 17*s - 26. Let f(q) = 2*q**2 + q**2 + q - 9 - 7*q + 0*q. Let y(c) = -8*f(c) + 3*u(c). Factor y(v).
3*(v - 2)*(v + 1)
Let i(l) = -3*l**2 + l - 1 + 5*l**2 + l**2 - l**2. Let f(u) = 2 + 3*u**2 - 5*u**2 - u - 2*u**2 + u**2. Let p(v) = 3*f(v) + 4*i(v). Solve p(k) = 0.
-1, 2
Let k = 28 - 25. Let f(x) be the first derivative of 0*x**k + 0*x**4 + 0*x**2 + 1 + 0*x - 1/15*x**5. Let f(m) = 0. What is m?
0
Suppose 4*v + v = -25. Let i(r) = r**2 + 4*r + 2. Let h be i(v). Factor 3 + h*z**2 - 6*z**2 - 4 + 0.
(z - 1)*(z + 1)
Let m = 77 + -74. Let 2/7*t**4 - 2/7*t**2 + 0*t + 0*t**m + 0 = 0. Calculate t.
-1, 0, 1
Suppose 0 = -k + 4 - 2. Let f = 6 - k. Find r such that -5/4*r**3 + 1/2*r**2 + 0*r + 0 + 3/4*r**f = 0.
0, 2/3, 1
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