culate v.
-1, 0, 1
Let f be 3*(3/18)/1. Let k = 43 - 41. Factor 1/2*u - 2*u**4 - k*u**2 + 3*u**3 + f*u**5 + 0.
u*(u - 1)**4/2
Let u(b) be the third derivative of -2*b**7/105 + b**5/15 + 41*b**2 + 1. Factor u(r).
-4*r**2*(r - 1)*(r + 1)
Let a(m) = -13*m**3 - m. Let d(s) be the third derivative of -s**6/20 - 4*s**2. Let f(g) = -3*a(g) + 7*d(g). Factor f(b).
-3*b*(b - 1)*(b + 1)
Let u = 155 - 2169/14. Let o(r) be the first derivative of -u*r**4 - 1 + 0*r - 1/21*r**6 + 4/35*r**5 + 0*r**2 + 0*r**3. Let o(b) = 0. What is b?
0, 1
Solve 2/7*o**2 - 6/7*o + 4/7 = 0 for o.
1, 2
Let j(i) be the second derivative of -45*i**5/14 + 10*i**4/7 - 4*i**3/21 - 13*i. Solve j(d) = 0.
0, 2/15
Let a(q) = q**2 - 1 - 2 + 2 - q. Let c(h) = 2*h**4 + 2*h**3 - 2*h**2 - 2*h - 2. Let t(l) = 2*a(l) - c(l). Factor t(b).
-2*b**2*(b - 1)*(b + 2)
Let r(m) = 6*m**3 + 22*m**2 + 12*m - 2. Suppose p - 3*p - 4 = 0. Let o(v) = 5*v**3 + 22*v**2 + 13*v - 1. Let x(z) = p*o(z) + 3*r(z). Factor x(u).
2*(u + 1)*(u + 2)*(4*u - 1)
Let l(g) be the first derivative of g**3/2 - 3*g/2 - 5. Factor l(b).
3*(b - 1)*(b + 1)/2
Let v(b) be the second derivative of b**6/105 - b**5/70 - b**4/42 + b**3/21 + 7*b. Factor v(k).
2*k*(k - 1)**2*(k + 1)/7
Let o(c) be the first derivative of 42*c**5/55 - c**4/22 - 46*c**3/33 + c**2/11 + 4*c/11 - 6. What is g in o(g) = 0?
-1, -2/7, 1/3, 1
Let p(u) be the third derivative of 0*u**3 + 0 + 1/20*u**5 - 3/40*u**6 + 0*u + 0*u**4 + 3/70*u**7 - u**2 - 1/112*u**8. Suppose p(l) = 0. What is l?
0, 1
Let z(d) = -d - 5. Let h = 17 - 25. Let v be z(h). Solve 2*q**2 + q**5 - q**2 - q**3 + 3*q**4 + 4*q**v = 0 for q.
-1, 0
Let k be (6/105)/((-25)/(-500)). Factor -k*l - 6/7 - 2/7*l**2.
-2*(l + 1)*(l + 3)/7
Let t(n) = 2*n**2 + n - 1. Let c(f) = 3*f - 5. Let l(k) = -2*k + 4. Let i(x) = 3*c(x) + 4*l(x). Let p(y) = i(y) + t(y). What is u in p(u) = 0?
-1, 0
Factor -4/7*k**3 + 0 - 2/7*k**4 - 2/7*k**2 + 0*k.
-2*k**2*(k + 1)**2/7
Let m be 45/(-9) - (1 + -3 + -3). Solve -1/2 - x + 1/2*x**4 + m*x**2 + x**3 = 0.
-1, 1
Let a = -18 - -20. Factor a*n + 4*n**3 + 2/5*n**5 + 4*n**2 + 2/5 + 2*n**4.
2*(n + 1)**5/5
Suppose 6 = 2*g + 4*r - 16, -5*r = -4*g - 8. Suppose -2*o = -3*z + 12, 0 = -4*o + 6*o + g*z - 12. Solve 0*s + o - 1/2*s**4 + 0*s**3 + 1/2*s**2 = 0 for s.
-1, 0, 1
Suppose 13*n - 8*n - 4 + n**2 - 5*n = 0. Calculate n.
-2, 2
Let 0*k**2 + 0 + 0*k**4 - 4/9*k**3 + 0*k + 4/9*k**5 = 0. Calculate k.
-1, 0, 1
Suppose -19*z + 15 = -14*z. Let y(r) be the second derivative of 0*r**2 + 0 - 1/4*r**3 - 1/28*r**7 - 1/2*r**4 - 9/20*r**5 - 1/5*r**6 - z*r. Factor y(h).
-3*h*(h + 1)**4/2
Let j = 336/5 + -67. Let x(h) be the first derivative of 4/9*h**3 - 2/3*h**4 + 0*h**2 + 0*h + j*h**5 - 1. Factor x(b).
b**2*(b - 2)*(3*b - 2)/3
Let i = 11 + -8. Let y(v) be the first derivative of 1/9*v**2 + 0*v + 4/9*v**i + 1/2*v**4 - 2. Factor y(r).
2*r*(3*r + 1)**2/9
Factor 0 + 0*b + 1/7*b**3 + 3/7*b**2.
b**2*(b + 3)/7
Let z(j) be the first derivative of j**4 - 2*j**3 - 5*j**2 - 7*j - 1. Let w(c) = c**3 - 2*c**2 - 3*c - 2. Let t(l) = 7*w(l) - 2*z(l). Factor t(b).
-b*(b + 1)**2
Let m(x) be the second derivative of -x**6/15 - x**5/5 + x**4/6 + 2*x**3/3 - x. Factor m(r).
-2*r*(r - 1)*(r + 1)*(r + 2)
Let g(b) be the second derivative of b**4/8 - b**3 - 15*b**2/4 + 5*b + 2. Factor g(t).
3*(t - 5)*(t + 1)/2
Factor 1/3*x**5 + 4/3*x**3 + 0*x + 0*x**2 + 0 + 4/3*x**4.
x**3*(x + 2)**2/3
Let g(b) = -b + 8. Let r be g(9). Let v be 1 - (r - 6/(-4)). Factor -1/2*c**2 + v*c + 1.
-(c - 2)*(c + 1)/2
Let x(u) be the first derivative of 1/70*u**5 + 2*u + 0*u**3 + 0*u**2 - 1 - 1/42*u**4. Let b(w) be the first derivative of x(w). Factor b(v).
2*v**2*(v - 1)/7
Let p(i) = -i**3 + 3*i**2 + 3*i - 2. Let d be p(3). Find w such that 7 + w + w**2 - d = 0.
-1, 0
Let t(n) be the second derivative of -2*n**7/21 + 2*n**6/15 + n**5 + n**4 - 13*n. Solve t(w) = 0 for w.
-1, 0, 3
Let s(m) be the first derivative of m**9/1512 + 3*m**8/1120 + m**7/280 + m**6/720 + m**3 - 3. Let t(g) be the third derivative of s(g). Factor t(j).
j**2*(j + 1)**2*(4*j + 1)/2
Let r(q) be the first derivative of q**4/2 + 5*q**3/6 + q**2/4 + 6. Factor r(k).
k*(k + 1)*(4*k + 1)/2
Let s(u) be the second derivative of -u**7/840 + u**5/40 - u**4/6 + 2*u. Let t(j) be the third derivative of s(j). Factor t(v).
-3*(v - 1)*(v + 1)
Factor -4/7*b + 0*b**2 + 1/7*b**3 + 0.
b*(b - 2)*(b + 2)/7
Let d be -4 - (-724)/120 - 2. Let v(t) be the third derivative of 3*t**2 - d*t**5 + 0 + 1/4*t**4 + 0*t - 2/3*t**3. Factor v(b).
-2*(b - 2)*(b - 1)
Let u(o) be the second derivative of -o**7/21 - 2*o**6/15 + o**5/5 + 4*o**4/3 + 7*o**3/3 + 2*o**2 + 9*o. Factor u(h).
-2*(h - 2)*(h + 1)**4
Let o(j) be the first derivative of -j**6/27 + 2*j**5/45 + 35. Let o(c) = 0. What is c?
0, 1
Suppose -5*d = 2*u - 5, -5*d + 2*u + 2*u = -5. Let r(s) be the first derivative of -d - 2/3*s**3 - 3*s**2 - 4*s. Suppose r(b) = 0. Calculate b.
-2, -1
Let r(l) be the third derivative of l**6/30 - l**5/15 - 30*l**2. Suppose r(m) = 0. What is m?
0, 1
Let m(g) be the third derivative of g**6/540 + g**5/30 + g**4/4 + 5*g**3/6 - 3*g**2. Let k(z) be the first derivative of m(z). Determine s, given that k(s) = 0.
-3
Factor 1/2*i**2 - 3*i + 0.
i*(i - 6)/2
Let g(v) be the third derivative of -v**6/180 + v**4/12 - 2*v**3/9 + 28*v**2. Find j such that g(j) = 0.
-2, 1
Let j(b) be the first derivative of -b**4/22 + 4*b**3/11 - 9*b**2/11 + 8*b/11 - 25. Find p, given that j(p) = 0.
1, 4
Factor 2/9 - 4/9*f**2 + 2/9*f**5 + 2/9*f**4 + 2/9*f - 4/9*f**3.
2*(f - 1)**2*(f + 1)**3/9
Suppose 0*d - 4*d = -16. Factor -2 + k + k**2 + 4 - d.
(k - 1)*(k + 2)
Let n be (2 - (2 + -1)) + 1. Let l = n - 2. Suppose -4*p + l*p**3 + 6 - 2*p**4 + 4*p**3 - 3 - 1 = 0. Calculate p.
-1, 1
Suppose -11 = -4*c + 9. Let 0*z + 0 - 1/5*z**3 - 2/5*z**4 - 1/5*z**c + 0*z**2 = 0. What is z?
-1, 0
Let -3*x + 3/5*x**2 + 12/5 = 0. What is x?
1, 4
Suppose -3*l - 6 = -7*s + 4*s, -3*l + 5*s - 12 = 0. Let q be l/(3 - 1/2). Factor q*g**2 + 0*g + 0.
2*g**2/5
Let w = 1 - -1. Factor -u**5 - 6*u**3 + 4*u**w - u - u**4 - 8*u**2 - 3*u**4.
-u*(u + 1)**4
Suppose -2*d + z = -32, -z = -2 + 4. Let n be d/5 - (2 + -2). Suppose 1/2*k + 0*k**2 + 1/2*k**5 + 0 - k**n + 0*k**4 = 0. Calculate k.
-1, 0, 1
Factor -22*r**2 + 11*r**2 + 6*r**2 - 15*r**3 + 10 + 15*r - 5*r**4.
-5*(r - 1)*(r + 1)**2*(r + 2)
Let x = -14 - -24. Let 0*a**3 - 6*a**5 - 3*a**3 - 2*a**3 - x*a**4 + a**3 = 0. What is a?
-1, -2/3, 0
Let h(m) = -3*m**2 - 5*m - 5. Let t(z) = 4*z**2 + 6*z + 6. Let a(v) = 6*h(v) + 5*t(v). Determine n so that a(n) = 0.
0
Let v(u) = -u**3 + 5*u**2 - u + 7. Let a be v(5). Suppose 4 = a*d - 4. Solve d*b**4 - 20*b**4 + 2*b - 11*b**2 - 3*b**3 + 24*b**3 + 4*b**5 = 0.
0, 1/2, 1, 2
Let g(k) be the first derivative of k**6/6 - k**5/5 + 14. What is i in g(i) = 0?
0, 1
Let w(p) be the second derivative of p**7/105 + 3*p**6/25 + 12*p**5/25 + 8*p**4/15 + 9*p. Factor w(b).
2*b**2*(b + 1)*(b + 4)**2/5
Suppose -5*j + 21 = -0*j - g, 0 = 2*j + 2*g - 18. Let q(y) be the second derivative of -1/2*y**2 - 1/4*y**4 + 0 + 2*y - 1/20*y**j - 1/2*y**3. Factor q(n).
-(n + 1)**3
Let a = -34/21 + 46/21. Factor 0 + 0*x - 2/7*x**4 + 6/7*x**2 - a*x**3.
-2*x**2*(x - 1)*(x + 3)/7
Let u be (-33)/(-5) + (-7)/(-14)*-6. Factor -42/5*y**3 + 0 + 10*y**4 + 6/5*y**2 + 4/5*y - u*y**5.
-2*y*(y - 1)**3*(9*y + 2)/5
What is f in f - 1/2*f**2 - 3/2*f**3 + 0 + 1/2*f**5 + 1/2*f**4 = 0?
-2, -1, 0, 1
Let t(y) be the first derivative of y**5/15 - y**4/12 - y**3/9 + y**2/6 - 1. Determine f, given that t(f) = 0.
-1, 0, 1
Let w(a) be the second derivative of -a**6/225 + a**4/10 - 4*a**3/45 - 4*a**2/5 + 16*a. Suppose w(n) = 0. Calculate n.
-3, -1, 2
Let h(y) be the second derivative of 2*y**6/105 - y**5/5 + 6*y**4/7 - 40*y**3/21 + 16*y**2/7 + 5*y + 2. Suppose h(c) = 0. Calculate c.
1, 2
Factor 1 - 6*p**2 - 4*p**4 - 30*p**3 + 22*p**3 + p**4.
-(p + 1)**3*(3*p - 1)
Let g be (0 - -5)/(1/2). Let o be ((-4)/(-9))/(g/15). Factor o*p**2 + 2/3*p + 0.
2*p*(p + 1)/3
Let h(w) be the second derivative of -1/18*w**4 + 2*w**2 - 1/9*w**3 - 1/90*w**5 + 0 + w. Let v(x) be the first derivative of h(x). Suppose v(p) = 0. What is p?
-1
Let o(l) be the third derivative of l**5/20 + 7*l**4/4 - 15*l**3/2 + 2*l**2. Determine u, given that o(u) = 0.
-15, 1
Let p = -30/29 + 119/87. What is f in 