 derivative of w(u). Factor r(o).
2*(o + 1)**2
Find k such that 2/3*k**3 - 2/3*k**2 + 2/3 - 2/3*k = 0.
-1, 1
Let p = -121 + 121. Let v(z) be the third derivative of 1/30*z**5 + 0*z**4 + 0*z**6 + 0*z - 1/105*z**7 + 0*z**3 + z**2 + p. Find d such that v(d) = 0.
-1, 0, 1
Let m(l) be the first derivative of -1/18*l**6 + 0*l - 2/15*l**5 - 1/12*l**4 + 0*l**3 + 0*l**2 + 9. Factor m(r).
-r**3*(r + 1)**2/3
Let l(s) be the first derivative of s**5/20 + 3*s**4/8 + s**3 - 3*s**2/2 - 3. Let p(c) be the second derivative of l(c). Solve p(o) = 0.
-2, -1
Factor -9/2*g**2 + 3/2*g**4 + 0*g**3 + 0 - 3*g.
3*g*(g - 2)*(g + 1)**2/2
Let b(s) be the second derivative of 2/15*s**6 - s**4 + 0 - 4/3*s**3 + 0*s**5 + 0*s**2 - 9*s. Solve b(i) = 0.
-1, 0, 2
Let j(d) be the second derivative of d**7/336 - d**6/120 - d**5/80 + d**4/24 + d**3/48 - d**2/8 + 8*d. Suppose j(u) = 0. What is u?
-1, 1, 2
Factor -6/7*u + 0 - 2/7*u**2.
-2*u*(u + 3)/7
Let s(t) = t - 1. Let z be s(1). Let x(h) be the third derivative of h**2 + z - 1/60*h**4 + 0*h**3 + 0*h + 1/150*h**5. Determine d so that x(d) = 0.
0, 1
Let b = 1152/13 - 5224/39. Let a = -45 - b. Solve -1/3*f**2 + a - 4/3*f + 4/3*f**3 = 0.
-1, 1/4, 1
Suppose -5*j = 3*b - 3, -5*j + 19 = -b - 0*b. Let 44*q**3 + 4*q**4 - 44*q**j = 0. What is q?
0
Let v(c) = c**2 - 5*c + 3. Let o be v(2). Let z be 1/o - (-133)/21. Factor -5*u**2 + u**3 + z*u**2 - u + u.
u**2*(u + 1)
Let k(x) be the second derivative of 0 - 1/18*x**3 + x + 1/18*x**4 - 1/60*x**5 + 0*x**2. Factor k(z).
-z*(z - 1)**2/3
Let x = 7 - 5. Let -k**2 + 2 - x + 0*k + k = 0. Calculate k.
0, 1
Suppose -2*a - 9 = w, 0*a - 2*a + 2*w + 6 = 0. Let v be (-3)/(-6) - 7/a. Factor 4*z**3 - 3*z**3 + z**4 - 2*z**v.
-z**3*(z - 1)
Let y(p) be the first derivative of -p**6/180 - p**5/90 + p**4/36 + p**3/9 - p**2/2 + 3. Let j(x) be the second derivative of y(x). Factor j(o).
-2*(o - 1)*(o + 1)**2/3
Let n be -13 + (-64)/(-5) + 42/110. Factor -2/11*o**3 + 0 + 2/11*o**5 - n*o**2 + 2/11*o**4 + 0*o.
2*o**2*(o - 1)*(o + 1)**2/11
Let b(h) = 5*h**4 - 7*h**3 + 5*h**2 + 3*h + 3. Let c(s) = 4*s**4 - 6*s**3 + 4*s**2 + 2*s + 2. Let l(u) = -2*b(u) + 3*c(u). Factor l(o).
2*o**2*(o - 1)**2
Let f = -5 - -10. Factor -3*a**3 + 6*a**5 + 0*a**3 - 3*a**f.
3*a**3*(a - 1)*(a + 1)
Suppose -8 = -4*w - x, x = -4*w + 2*x + 8. Suppose -5*n**5 + 0 + 7*n**4 - 7*n - 5*n**2 + 7*n**5 + 5*n**3 - w = 0. Calculate n.
-2, -1, -1/2, 1
Suppose -f = 2*f - 9. Let l(m) be the third derivative of 1/840*m**7 + 1/24*m**f + 0*m - 1/120*m**5 - m**2 + 0*m**4 + 0 + 0*m**6. Factor l(r).
(r - 1)**2*(r + 1)**2/4
Let f(w) be the second derivative of -w**6/20 + 9*w**5/40 - w**4/4 - 2*w. Factor f(d).
-3*d**2*(d - 2)*(d - 1)/2
Let n be -1 - (-2 - 0) - -3. Let 22 - 6*c**2 - 19 + 2*c**n + c**4 = 0. What is c?
-1, 1
Let a = -4 - -4. Suppose w + a = 2. Suppose d + 0*d**2 - d + 2*d + w*d**3 + 4*d**2 = 0. What is d?
-1, 0
Suppose -7*q + 2*g + 4 = -5*q, g - 2 = 0. Let v be ((q + -1)/12)/1. Factor 1/4*z**3 + 0 + 0*z + v*z**2.
z**2*(z + 1)/4
Let i(b) be the first derivative of b**4/16 - b**3/12 - b**2/8 + b/4 + 7. Solve i(h) = 0.
-1, 1
Determine f so that 50/9 + 2/9*f**2 + 20/9*f = 0.
-5
Suppose 4*h - 4*i - 4 = 0, 0 = 4*h - 2*i + 4*i - 16. Suppose -3*p + p = -100. What is l in -46*l**h - 40*l**4 + 16/5 + p*l**5 + 88/5*l + 76/5*l**2 = 0?
-2/5, 1
Factor 1/2*h**3 - 1/2*h + 1/2 - 1/2*h**2.
(h - 1)**2*(h + 1)/2
Factor -5/3 + 5/3*i + 5/3*i**5 - 5/3*i**4 + 10/3*i**2 - 10/3*i**3.
5*(i - 1)**3*(i + 1)**2/3
Factor -82*m + 39*m + 33*m + 2*m**3 + 2*m**2 + 6 + 0*m**2.
2*(m - 1)**2*(m + 3)
Let s be (-2 + (-80)/(-28))/3. Let -8/7*f + s*f**2 + 8/7 = 0. Calculate f.
2
Let u(y) = -31*y**2 + 53*y - 11. Let i(x) = -16 + 18*x + 62*x - 57*x**2 + 11*x**2. Suppose -5*d = d - 48. Let z(c) = d*u(c) - 5*i(c). Factor z(k).
-2*(3*k - 2)**2
Suppose 5*h + 2*y - 2 = 0, 7*h - 2*y = 6*h - 2. Let j(i) be the third derivative of 0 + h*i - 2*i**2 + 0*i**3 - 1/30*i**4 + 1/50*i**5. Factor j(o).
2*o*(3*o - 2)/5
Suppose -5*b = -3*b - 14. Find i such that -4 - b*i**2 + 3*i**2 + 2*i**2 - 6*i = 0.
-2, -1
Let a(d) be the third derivative of 49*d**5/20 - 7*d**4/2 + 2*d**3 + 3*d**2. Factor a(j).
3*(7*j - 2)**2
Let f(m) be the first derivative of -m**5/35 - m**4/28 + 2*m**3/21 - 1. Find p such that f(p) = 0.
-2, 0, 1
Let y(p) be the second derivative of p**6/45 + p**5/15 + p**4/18 + 19*p. Factor y(x).
2*x**2*(x + 1)**2/3
Let f(v) = -8*v**3 - 5*v**2 + 3. Let d(y) = y**3 - 1. Let b(n) = 3*d(n) + f(n). Factor b(w).
-5*w**2*(w + 1)
Let z be 1/6*2/(4 + -3). Find h such that -2/3*h**2 + 1/3*h**3 + z*h + 0 = 0.
0, 1
Factor -15*k**3 - k**4 - 2*k**4 - 21*k**2 - 9*k + 0*k**3.
-3*k*(k + 1)**2*(k + 3)
Let n(k) = k**3 - 13*k**2 + 12*k + 5. Let u be n(12). Let a**5 + 11*a**3 - a**5 + 2*a**u + 16*a**2 + 12*a**4 + 13*a**3 = 0. What is a?
-2, 0
Let h(a) be the second derivative of 0*a**2 - 1/30*a**4 + 1/5*a**3 + 3*a + 0. Factor h(z).
-2*z*(z - 3)/5
Let p be -3 - (-1 - (3 - -3)). Factor -2/9*r + 2/9*r**p - 2/3*r**3 + 0 + 2/3*r**2.
2*r*(r - 1)**3/9
Let n(t) be the third derivative of -1/120*t**4 + 1/600*t**6 + 0*t + 0 + 4*t**2 - 1/1050*t**7 + 1/300*t**5 + 0*t**3. Factor n(p).
-p*(p - 1)**2*(p + 1)/5
Let i(p) be the first derivative of 0*p + 6/25*p**5 - 4 - 2/5*p**2 + 6/5*p**3 - p**4. Determine w so that i(w) = 0.
0, 1/3, 1, 2
Let k(o) be the third derivative of o**7/105 + o**6/15 + o**5/6 + o**4/6 + o**2. Factor k(c).
2*c*(c + 1)**2*(c + 2)
Let s = -21 + 23. Factor 4/3*l - 2*l**s + 2/3*l**3 + 0.
2*l*(l - 2)*(l - 1)/3
Let 8/7*o**4 - 64/7*o**2 + 0 - 16/7*o - 60/7*o**3 + 20/7*o**5 = 0. What is o?
-1, -2/5, 0, 2
Let w(r) be the second derivative of r**5/30 - r**3/3 + 2*r**2/3 - r. Factor w(m).
2*(m - 1)**2*(m + 2)/3
Let u(h) = h**3 - 6*h**2 + h - 3. Suppose 23 = 4*i - 1. Let s be u(i). Find g, given that -4/5*g**2 + 2/5*g**5 + 0 + 4/5*g**4 - 2/5*g + 0*g**s = 0.
-1, 0, 1
Let i(a) be the second derivative of a**7/70 + a**6/25 - 9*a. Let i(c) = 0. Calculate c.
-2, 0
Factor -2/9*l**3 + 0*l + 0 + 0*l**2.
-2*l**3/9
Let p(u) be the first derivative of 3*u**5/4 + 9*u**4/4 + u**3 - 16. Factor p(o).
3*o**2*(o + 2)*(5*o + 2)/4
Let l be (-6 - -3) + 10/2. Let p(q) be the second derivative of 3*q + 0 + 1/8*q**4 + 5/12*q**3 - 1/2*q**l. Let p(m) = 0. What is m?
-2, 1/3
Suppose -2*i + 4*i + 128 = 0. Let k be (1/(-2))/(2/i). Find w such that -k - 12*w**2 + 2*w**3 + 20*w - 5*w + 9*w = 0.
2
Let y(s) be the first derivative of s**6/240 - s**5/24 + s**4/6 - s**3/3 + 7*s**2/2 - 4. Let w(d) be the second derivative of y(d). Solve w(v) = 0.
1, 2
Let z(v) be the second derivative of v**5/50 - v**4/30 - 4*v**3/15 + 4*v**2/5 + 3*v + 7. Suppose z(l) = 0. Calculate l.
-2, 1, 2
Factor 2/3*u**2 - 2/3*u**5 - 2*u**3 + 2*u**4 + 0 + 0*u.
-2*u**2*(u - 1)**3/3
Let o(s) = -s - 3. Suppose -2*r + z - 12 = 0, -3*r + r - 5*z = 0. Let x be o(r). Suppose 2*b**2 + 11*b + 0*b - 5 + 7*b**x + 7 = 0. Calculate b.
-1, -2/9
Let n(u) be the second derivative of 0*u**3 + 1/45*u**6 - 1/189*u**7 + 0 + 0*u**2 - 1/30*u**5 + 1/54*u**4 - 3*u. Factor n(p).
-2*p**2*(p - 1)**3/9
Factor 4*p**3 + 6*p**4 + p**4 - p - p**5 + 4 - 15*p + 25*p**2 - 23*p**3.
-(p - 2)**2*(p - 1)**3
Let w(s) be the third derivative of s**5/240 - s**4/24 + s**3/6 - s**2 + 4*s. Solve w(o) = 0.
2
Let j be 1*-1*4/(-6). Let p be (1 - -1)*((-15)/(-18))/5. Factor 1/3 + j*y + p*y**2.
(y + 1)**2/3
Let w(x) = -x**2 - x - 1. Let c(y) = -25*y**2 - 5*y - 20. Let m(l) = c(l) - 20*w(l). Factor m(s).
-5*s*(s - 3)
Suppose 0*n + 4 = 2*n. Let v(s) be the first derivative of n - 1/2*s**4 - 7/2*s**2 + 2*s + 7/3*s**3. Suppose v(b) = 0. What is b?
1/2, 1, 2
Let g(o) be the third derivative of 0*o - 1/210*o**5 + 0*o**3 + 0*o**4 + 0 + o**2 + 0*o**6 + 1/735*o**7. Let g(c) = 0. Calculate c.
-1, 0, 1
Let h = 6239/10 + -623. Let y(p) be the first derivative of -6/5*p - 1/5*p**3 - h*p**2 + 1. Factor y(b).
-3*(b + 1)*(b + 2)/5
Let t(w) = -w**2 + 6*w + 2. Let g be t(6). Let p be (-1 + 5)/(g/1). Factor -2*k - 3 - 28*k - 36*k**2 + 26*k**2 - 65*k**p.
-3*(5*k + 1)**2
Find c such that -22*c**3 - 2*c + 5*c**3 + 12*c**3 + 2*c**2 + 9*c**3 = 0.
-1, 0, 1/2
Let d(v) be the third derivative of 0*v**5 - 1/112*v**8 + 0 - 1/35*v**7 + 0*v + 0*v**3 - v**2 + 0*v**4 - 1/40*v**6. Suppose d(r) = 0. What is r?
-1, 0
Let y(x) be the third derivative of x**4/24 + 6*x**2. Let