+ 0*l. Let b(f) = 0. Calculate f.
-1, 0
Let y(g) be the second derivative of g**5/10 - g**3/3 + g. Find i such that y(i) = 0.
-1, 0, 1
Let a(h) be the second derivative of h**5/210 + h**4/42 + h**3/21 - 2*h**2 - 3*h. Let w(k) be the first derivative of a(k). Factor w(s).
2*(s + 1)**2/7
Let g = -9 + 11. Let p be (2/9)/(g/12). Let -4/3*w**3 + 4/3*w - 1/3*w**4 + p - w**2 = 0. Calculate w.
-2, -1, 1
Let j = 169 + -167. Factor 0 - 2/3*q - 1/3*q**3 + q**j.
-q*(q - 2)*(q - 1)/3
Let k(r) be the first derivative of -r**8/168 - r**7/70 + r**5/60 + r**2 + 2. Let p(c) be the second derivative of k(c). Factor p(s).
-s**2*(s + 1)**2*(2*s - 1)
Suppose 0 = -v + 9*v - 24. Let a(b) be the third derivative of b**2 + 0*b + 0 + 2/15*b**v + 1/300*b**6 + 1/12*b**4 + 2/75*b**5. Factor a(o).
2*(o + 1)**2*(o + 2)/5
Let r(z) be the second derivative of z**7/3360 + z**6/480 + z**5/240 + z**3/2 + 3*z. Let x(n) be the second derivative of r(n). Suppose x(f) = 0. What is f?
-2, -1, 0
Let h(a) = a**3 + 16*a**2 - 17*a. Let x be h(-17). Solve -6/7*i**4 + x - 8/7*i**3 + 0*i - 2/7*i**2 = 0.
-1, -1/3, 0
Let v be (-19)/57*18/(-4). Factor -1 - v*y - 1/2*y**2.
-(y + 1)*(y + 2)/2
Let i = 7 - 7. Let a(z) be the second derivative of 0*z**2 + 1/20*z**5 + i - 1/12*z**4 - z + 0*z**3. Factor a(d).
d**2*(d - 1)
Let 2*d + 11*d**4 - 2*d - 10*d**4 = 0. What is d?
0
Let i(h) be the second derivative of -1/16*h**4 + 6*h - 1/4*h**2 + 0 + 5/24*h**3 - 1/80*h**5 + 1/120*h**6. Factor i(x).
(x - 1)**3*(x + 2)/4
Let j be -2 - -2 - 0 - 4/(-2). Suppose -4/5*c + 0 + 54/5*c**4 - 14/5*c**j - 54/5*c**5 + 18/5*c**3 = 0. What is c?
-1/3, 0, 2/3, 1
Factor 0*p + 0 + 1/3*p**3 - p**2.
p**2*(p - 3)/3
Let z(s) = s. Let j be z(2). Factor -3*q - 5*q**4 + 2*q**j + 2*q**4 - q + q**4 + 4*q**3.
-2*q*(q - 2)*(q - 1)*(q + 1)
Suppose 4*r = -4*p + 4, -r = 4*p - 2*p. Let -2*q + 4*q**2 - 3 - 4*q**2 + q**4 + 2*q**3 + r = 0. Calculate q.
-1, 1
Let s(t) be the second derivative of -t**5/120 + t**4/72 + t**3/9 - t**2/3 - 7*t. Solve s(j) = 0 for j.
-2, 1, 2
Let y be (-1*2)/(-4 + 3). Find n, given that -n**3 - 4*n**y + n - 3*n**4 + 4*n**2 - n**2 + 4*n**4 = 0.
-1, 0, 1
Solve 12/7*m**3 + 0 + 38/7*m**4 + 20/7*m**5 - 4/7*m - 10/7*m**2 = 0.
-1, -2/5, 0, 1/2
Let x be -3 + 9/(1215/410). Let y(a) be the second derivative of 0*a**5 + 2/135*a**6 + 0 + x*a**3 + 0*a**2 - 1/189*a**7 - 1/27*a**4 + 2*a. Factor y(b).
-2*b*(b - 1)**3*(b + 1)/9
Find b, given that 0 + 2/19*b**2 + 2/19*b**3 - 4/19*b = 0.
-2, 0, 1
Factor 18/17 - 24/17*i + 2/17*i**4 + 8/17*i**3 - 4/17*i**2.
2*(i - 1)**2*(i + 3)**2/17
Let i(b) be the first derivative of 2*b**5/35 + b**4/28 - b**3/7 - b**2/14 + b/7 + 22. Factor i(r).
(r - 1)*(r + 1)**2*(2*r - 1)/7
Let i be (-2)/(4/6)*-1. Factor 4*w + i*w - 3*w - 12*w**2 + 4*w.
-4*w*(3*w - 2)
Let l(t) be the second derivative of -t**6/1440 - t**5/160 - t**4/48 + t**3/2 + 7*t. Let g(a) be the second derivative of l(a). Find m such that g(m) = 0.
-2, -1
Find i such that -1/7*i**2 - 1/7*i**4 + 2/7*i**3 + 0*i + 0 = 0.
0, 1
Let i be 0/((-1)/(-5) + (-165)/75). Factor i*d**2 + 2/11*d**3 + 0 + 0*d - 2/11*d**4.
-2*d**3*(d - 1)/11
Let u be 2/(-4) - 25/(-10). Determine j so that -u*j + 0 + 2*j**3 + 0 = 0.
-1, 0, 1
Let q(w) = 3*w**5 + 2*w**4 - 10*w**3 + 5*w + 2. Let z(b) = 8*b**5 + 7*b**4 - 30*b**3 + 15*b + 7. Let n(h) = -7*q(h) + 2*z(h). Factor n(r).
-5*r*(r - 1)**2*(r + 1)**2
Let j(k) = k**3 - 4*k**2 - 7*k + 5. Let c be j(5). Let y be (-2)/4 - c/6. Factor y*f**2 + 1/3*f**3 + 0 + 0*f.
f**2*(f + 1)/3
Solve -1/5*r**2 + 1/5*r**4 + 1/5*r**3 + 0 - 1/5*r = 0.
-1, 0, 1
Let v be 5 + 9/(-4) - 4 - -2. Factor 0 - 9/4*l**5 + 0*l - 15/4*l**4 - 3/4*l**3 + v*l**2.
-3*l**2*(l + 1)**2*(3*l - 1)/4
Let d(s) be the first derivative of -3/2*s**2 - 9/2*s + 1/2*s**3 - 2. What is h in d(h) = 0?
-1, 3
Let j(q) = -13*q**3 + 67*q - 5. Let o(a) = -6*a**3 + 34*a - 2. Let t(g) = 2*j(g) - 5*o(g). Solve t(u) = 0 for u.
-3, 0, 3
Let f(u) be the first derivative of -4*u**3/3 - 5. Factor f(i).
-4*i**2
Let h = 58 - 115/2. Find c such that 1/2 - 1/2*c**2 - h*c**3 + 1/2*c = 0.
-1, 1
Let w(q) be the second derivative of -q**6/30 - q**5/20 + q**4/4 + q**3/6 - q**2 + 11*q. Factor w(l).
-(l - 1)**2*(l + 1)*(l + 2)
Let z(x) be the first derivative of 5*x**6/12 - x**5/2 - 15*x**4/8 + 5*x**3/6 + 5*x**2/2 + 4. Suppose z(c) = 0. What is c?
-1, 0, 1, 2
Let g be (-6)/(-4)*(13 - 3). Suppose 0*u + 5*u - g = 0. Let -2*z + 4*z**2 + 0*z**3 - 4 + 3*z**3 - z**u = 0. What is z?
-2, -1, 1
Let x(v) be the first derivative of 1/14*v**4 + 2 - 1/7*v**2 - 4/21*v**3 + 4/7*v. Factor x(c).
2*(c - 2)*(c - 1)*(c + 1)/7
Let b be (-3)/15 - 124/(-20). Suppose 3*p + b = 15. Suppose -2*s**p + 4*s**4 + 5*s**3 + 4*s**5 - s**5 + 2*s**4 = 0. What is s?
-1, 0
Let x be (-361)/360*-3 - 3. Let l(p) be the third derivative of 0*p**4 + 0*p + 1/60*p**5 + 0 + 0*p**3 + 2*p**2 + x*p**6. Factor l(b).
b**2*(b + 1)
Factor -5/4*s**3 - 15/4*s**2 + 0 + 0*s.
-5*s**2*(s + 3)/4
Let n(p) = -22*p**5 - 4*p**4 + 6*p**3 + 28*p**2 - 20*p. Let t(m) = m**5 - m**4 + m**3 - m**2 + m. Let q(o) = n(o) + 12*t(o). Suppose q(d) = 0. What is d?
-2, -1, 0, 2/5, 1
Let b(a) be the first derivative of 0*a - 1 - 1/4*a**4 + 0*a**2 + 1/6*a**6 + 1/5*a**5 - 1/3*a**3. Factor b(x).
x**2*(x - 1)*(x + 1)**2
Let o(i) = 4*i**3 - i**2 + i. Let c be o(1). Let a(t) = -t + 4. Let l be a(c). Factor 2/5*q**5 + l*q**2 + 0 + 0*q**4 + 2/5*q - 4/5*q**3.
2*q*(q - 1)**2*(q + 1)**2/5
Let m(a) be the second derivative of 3*a**5/70 + a**4/21 - a**3/3 + 2*a**2/7 - a. Suppose m(o) = 0. Calculate o.
-2, 1/3, 1
Let f be (-4)/(-1 - 1/(-2)). Let r be 1/28 + 2/f. Factor 0 - r*u + 2/7*u**2.
2*u*(u - 1)/7
Let s(d) be the first derivative of -1 + 21/8*d**4 - 9/10*d**5 + 0*d - 5/2*d**3 + 3/4*d**2. Solve s(x) = 0 for x.
0, 1/3, 1
Let k be (-4)/(-1)*2/2. Let s(u) = u - 3. Let m be s(k). Factor 2*w**3 - w**4 - 2*w + m + 0*w**3 + 0*w**3.
-(w - 1)**3*(w + 1)
Let f be 3/6*3/6*0. Factor -n**3 - 1/3*n**4 - n**2 + f - 1/3*n.
-n*(n + 1)**3/3
Let j(u) be the first derivative of u**6/21 - u**4/14 + 6. Suppose j(l) = 0. Calculate l.
-1, 0, 1
Let f(k) = k**2 + 2*k - 6. Let p be f(-4). Let y(g) be the first derivative of 0*g**p + 0*g**5 + 0*g + 0*g**3 - 1/4*g**4 + 3 + 1/6*g**6. Factor y(o).
o**3*(o - 1)*(o + 1)
Let t be 1*(0 - 1)*(-2)/6. Let p(q) be the second derivative of 0 - q + 1/12*q**4 + 1/2*q**2 + t*q**3. Factor p(k).
(k + 1)**2
Let p(r) be the second derivative of r**5/40 - 5*r**4/24 + 2*r**3/3 - r**2 + 9*r. Suppose p(a) = 0. Calculate a.
1, 2
Let s(o) be the third derivative of 0 + 1/30*o**6 + 0*o**7 + 1/3*o**3 - 1/336*o**8 - 1/8*o**4 + 0*o - 1/30*o**5 - 5*o**2. Find v such that s(v) = 0.
-2, -1, 1
Let n(h) be the second derivative of -5*h**8/336 - h**7/105 - h**6/600 + h**2 - 3*h. Let l(r) be the first derivative of n(r). Solve l(z) = 0 for z.
-1/5, 0
Let n(r) be the third derivative of -9*r**5/40 - 15*r**4/16 + 7*r**3/2 - 34*r**2. What is a in n(a) = 0?
-7/3, 2/3
Let x(k) be the first derivative of 1 + 1/18*k**4 + 4/3*k**2 - 16/9*k - 4/9*k**3. Solve x(r) = 0 for r.
2
Let w(g) be the second derivative of 0*g**3 - 1/10*g**5 + 0*g**2 + 1/6*g**4 + 0 - 4*g. Let w(c) = 0. What is c?
0, 1
Let b(p) be the second derivative of -p**5/210 + p**4/42 - p**3/21 - p**2/2 - 2*p. Let d(c) be the first derivative of b(c). Determine r so that d(r) = 0.
1
Factor 7*v**2 - v - 6*v**2 + 16 - 7*v.
(v - 4)**2
Let v = 605/3 - 201. Factor -v*i + 0 + i**2.
i*(3*i - 2)/3
Let q(w) be the second derivative of w**7/5040 - w**5/240 + w**4/6 + 2*w. Let o(p) be the third derivative of q(p). Factor o(r).
(r - 1)*(r + 1)/2
Let v be -2 + (5 - -2) + 0. Suppose v*t + 0*t = 0. Factor t*m**2 + 0*m - 1/2*m**4 + 1/2*m**5 + 0 + 0*m**3.
m**4*(m - 1)/2
Let q(g) be the second derivative of -g**8/448 + g**7/280 + g**6/160 - g**5/80 - g**2 + 4*g. Let t(k) be the first derivative of q(k). What is a in t(a) = 0?
-1, 0, 1
Let q be (-1)/(55/(-32)) - 18/45. Find z such that -2/11*z**3 - q*z**2 + 0*z + 0 = 0.
-1, 0
Let w be (-20)/(-170) - 440/(-595). Determine z so that 4/7 + 2/7*z**2 - w*z = 0.
1, 2
Let d(s) be the third derivative of -s**6/48 + s**5/10 - 3*s**4/16 + s**3/6 - 2*s**2. Let d(r) = 0. What is r?
2/5, 1
Let j(z) be the first derivative of z**3/27 + z**2/3 + z + 15. Suppose j(l) = 0. What is l?
-3
Find k, given that 7*k - 5*k - 2*k - 2*k - 4*k*