t is the second derivative of 6*b + 4*b**2 - 2*b - b + 2*b**a wrt b?
12
What is the second derivative of -13*c**5 + 11*c**5 + 0*c + 15*c wrt c?
-40*c**3
Suppose -6*m = -4*m. Let a(p) be the second derivative of 0*p**3 + m - p + 0*p**5 + 0*p**4 + 1/2*p**2 + 1/15*p**6. Differentiate a(s) with respect to s.
8*s**3
Let a(v) = v**2 + 1. Let u(c) = c**3 + 8*c**2 + 5. Let y(z) = -5*a(z) + u(z). What is the third derivative of y(f) wrt f?
6
Let i = 9 + -9. Let z(f) be the third derivative of 0*f**5 + 0*f**3 + 0*f - f**2 + 1/60*f**6 + i - 1/12*f**4. Find the second derivative of z(n) wrt n.
12*n
Find the second derivative of 51*y**5 - 113*y**5 + 46*y**5 - 53*y - 2 + 20*y wrt y.
-320*y**3
Let y = 5/72 + 55/72. Let o(j) be the first derivative of 0*j**3 + 3/2*j**2 + 5 + 0*j**4 + y*j**6 + 0*j**5 + 0*j. Find the second derivative of o(v) wrt v.
100*v**3
Let x(z) = -4 - 2 - 1 - z**2 + 2. Let f(u) = -u**3 + 6. Let g(c) = -5*f(c) - 6*x(c). What is the third derivative of g(j) wrt j?
30
Let c(j) = 15*j**4 - 3*j**3 - 3*j**2 + 8. Let o(g) = -29*g**4 + 5*g**3 + 5*g**2 - 17. Let z(d) = -5*c(d) - 3*o(d). What is the first derivative of z(y) wrt y?
48*y**3
Find the third derivative of -10*h**6 + 0*h**6 - 3*h**6 + 15*h**2 wrt h.
-1560*h**3
Let b be (-72)/(-90)*((-22)/(-12) + -1). Let p(n) be the first derivative of b*n**3 + 3 - n**2 + 0*n. Find the second derivative of p(h) wrt h.
4
Suppose -7 = -5*q - x, q = -0*q - 2*x - 4. Let v(z) be the third derivative of 0 - 1/8*z**4 + 0*z - 4*z**q - 1/6*z**3. Find the first derivative of v(g) wrt g.
-3
Let p(u) be the second derivative of 3/20*u**5 - u + 0 + 0*u**4 + 3/2*u**2 + 0*u**3. Find the first derivative of p(j) wrt j.
9*j**2
Let f(r) be the second derivative of -r**6/6 - 31*r**2 + 16*r. Differentiate f(g) with respect to g.
-20*g**3
Let h = 24 - 22. Let l(r) be the second derivative of r + 1/6*r**3 + 0*r**h - 1/12*r**4 + 0. Find the second derivative of l(p) wrt p.
-2
Let c be (-2)/(-8) - 1/4. Let o(l) be the first derivative of -1/4*l**4 + 0*l**3 + c*l**2 + 2 + 3*l. Find the first derivative of o(w) wrt w.
-3*w**2
Let u = 0 - -2. Suppose -4*o - 3 = -3*k + 4, -20 = -5*o - u*k. Find the first derivative of -2*h**2 + 10 - h**o - 8 wrt h.
-6*h
Let d(g) be the first derivative of g**7/210 + g**3/6 - g**2/2 + 1. Let p(x) be the second derivative of d(x). Find the first derivative of p(m) wrt m.
4*m**3
Find the third derivative of -2*c**3 + 25*c**3 - 2*c**3 + 10*c**2 wrt c.
126
Find the third derivative of -2 - v**4 + 3*v**5 + 7*v**2 - 10*v**5 + 4 wrt v.
-420*v**2 - 24*v
Let k = 1 - 1. Suppose 3*a = k, 2*q = a + 3 + 7. Find the second derivative of -c**q + 2*c + c - 2*c**5 wrt c.
-60*c**3
Let o(l) = -14*l**3 - 2*l**2 - 2*l + 6. Let i(c) = 41*c**3 + 7*c**2 + 7*c - 17. Let m(p) = -2*i(p) - 7*o(p). Differentiate m(y) with respect to y.
48*y**2
Let d(l) be the first derivative of -l**2/2 - 10*l - 5. What is the first derivative of d(g) wrt g?
-1
Let n(q) = -3*q**2 + 3*q + 15. Let b(r) = -4*r**2 + 2*r + 14. Let a(g) = -3*b(g) + 2*n(g). What is the derivative of a(d) wrt d?
12*d
Let a(q) = 2*q**2 + 7*q - 10. Let h(k) = k**2 + 5*k - 7. Suppose 5 = s, -3*s + 22 + 0 = i. Let j(g) = i*h(g) - 5*a(g). Find the first derivative of j(w) wrt w.
-6*w
Let k(o) = 12*o**4 - 5*o**3 + 5*o + 13. Let m = 4 - 3. Let i(y) = y**4 - y**3 + y + 1. Let d(j) = m*k(j) - 5*i(j). Differentiate d(s) with respect to s.
28*s**3
Let q(t) be the second derivative of 0 - 3*t + 0*t**3 + 0*t**4 - 1/2*t**2 + 3/20*t**5. What is the derivative of q(s) wrt s?
9*s**2
Let a(n) be the first derivative of -n**3/3 - 11*n + 1. Differentiate a(q) wrt q.
-2*q
Let k(a) be the first derivative of a**2/2 - a - 1. Let t be k(2). Differentiate t - 2 - 2*i**4 + 3 wrt i.
-8*i**3
Find the second derivative of 2*q**2 + q + 2*q**2 - 11*q**2 wrt q.
-14
Find the third derivative of -26*i**5 + 47*i**2 - 8*i**2 - 2*i**5 wrt i.
-1680*i**2
Let b = 3 + -1. Find the third derivative of 5*k**6 + 0*k**b + 0*k**6 - k**6 - 2*k**2 wrt k.
480*k**3
Let p(f) be the first derivative of -7*f**4/2 + 9*f**2/2 + 7. Find the second derivative of p(x) wrt x.
-84*x
Let n(d) = -7*d**4 - 5*d**3 + 29*d**2. Let m(w) = -4*w**4 - 2*w**3 + 14*w**2. Let l(u) = -10*m(u) + 4*n(u). What is the third derivative of l(o) wrt o?
288*o
Differentiate -6*m**4 + 82 - 27 + 0*m**4 - 4*m**4 with respect to m.
-40*m**3
Let k(x) be the third derivative of -x**8/560 + x**4/6 - x**3/2 + 5*x**2. Let z(y) be the first derivative of k(y). Differentiate z(d) with respect to d.
-12*d**3
Let r(w) = 7*w**3 + 2*w**2 - 19*w. Let x(k) = -111*k**3 - 33*k**2 + 303*k. Let q(f) = -33*r(f) - 2*x(f). Find the second derivative of q(a) wrt a.
-54*a
Let c(h) = -h**3 - 6*h**2 - 7*h - 4. Let u be c(-5). What is the second derivative of 4*f - u*f + 3*f**2 + 0*f wrt f?
6
Let w = -3 + 5. Differentiate -q**2 + 5*q**3 + 1 + q**w - 8*q**3 wrt q.
-9*q**2
Let m(w) = 5*w - 45. Let h be m(9). Let r(o) be the second derivative of 1/2*o**3 + h*o**2 + 1/4*o**4 + 0 - 4*o. Find the second derivative of r(n) wrt n.
6
Differentiate 4*g - 9*g - 4*g + 5 wrt g.
-9
Let y be (-2)/(-6) + 2/(-6). Find the second derivative of 2*a + y*a + 3*a**5 - a wrt a.
60*a**3
Let r be (-2)/((-3)/6*1). Let p be ((-4)/2)/((-2)/r). What is the derivative of 0*y**4 - y**4 + 2*y**p + 1 wrt y?
4*y**3
Let q be (1/(-2))/((-2)/8). Suppose 2*r + q*r = 8. What is the third derivative of 3*j**4 - 2*j**4 - 4*j**2 + 2*j**r wrt j?
24*j
Suppose 0 = 3*u + 6 + 9. Let g = -2 - u. Find the second derivative of g*w - 6*w + 0*w - w - 4*w**2 wrt w.
-8
Let c(j) = -17*j - 27. Let i = -18 - -10. Let f(k) = 6*k + 9. Let a(b) = i*f(b) - 3*c(b). Differentiate a(v) wrt v.
3
Let a(j) = 75*j**3 - 17*j**2 - 5*j - 17. Let n(r) = 25*r**3 - 6*r**2 - 2*r - 6. Let l(y) = -6*a(y) + 17*n(y). Find the second derivative of l(i) wrt i.
-150*i
What is the first derivative of u**2 - 5*u**2 + 10 - u**2 - 7 wrt u?
-10*u
Suppose -2*s - 7 + 17 = 0. Find the third derivative of 2*f - 2*f + 2*f**2 - 3*f**s wrt f.
-180*f**2
Let w = 7 - 5. Let t(z) be the second derivative of -1/3*z**3 - z + 0 + 1/2*z**w. Differentiate t(f) with respect to f.
-2
Let z = 13 - 11. Let f(j) = j**2 + 6*j + 2. Let w be f(-6). Find the first derivative of 4 - 3 - 2*l**z + 4*l**w wrt l.
4*l
Suppose 2*o + 10 = 2*b, 2*b - o + 6*o - 38 = 0. What is the third derivative of -b*h**2 + 3*h**3 - 12*h**3 + 7*h**3 + 5*h**3 wrt h?
18
Let l(c) = 32*c**3 + 5*c**2 + 5*c + 4. Let o(g) = -33*g**3 - 4*g**2 - 4*g - 5. Let q(r) = -4*l(r) - 5*o(r). Differentiate q(j) wrt j.
111*j**2
Find the second derivative of -6*r**3 + 20*r**3 + r - 4*r**3 + 18 wrt r.
60*r
Let f(t) be the second derivative of t**7/840 + t**6/240 + t**4/12 - 2*t. Let w(k) be the third derivative of f(k). Find the second derivative of w(a) wrt a.
6
Let n(y) = -9*y - 25. Let p be n(-3). Let a(h) be the second derivative of 1/4*h**4 + 0*h**p + 1/3*h**3 - 3*h + 0. Find the second derivative of a(l) wrt l.
6
Let n(k) be the second derivative of k**6/40 - k**5/20 - 3*k**2/2 - 3*k. Let t(z) be the first derivative of n(z). What is the third derivative of t(d) wrt d?
18
What is the derivative of -7*j**2 - j**2 - 6*j**2 + 6*j**2 + 2*j - 41 wrt j?
-16*j + 2
Let y(g) = -6*g**2 + 2*g - 1. Let o be y(1). Let p(d) = -d - 6. Let c(k) = -k - 13. Let s(t) = o*p(t) + 2*c(t). Differentiate s(w) with respect to w.
3
Let l = -6 + 10. What is the third derivative of 8*s**2 - l*s**2 - 2*s**6 + s**2 wrt s?
-240*s**3
Let g(k) be the third derivative of -13*k**7/210 + k**5/30 + 25*k**2. What is the third derivative of g(r) wrt r?
-312*r
Let l be 2 + (0 - 2)/(-1). Suppose -3*k - 18 = -3*a, 0 = -5*k - 11 - l. What is the third derivative of 3*v**6 - 5*v**2 + v**2 + a*v**2 - v**2 wrt v?
360*v**3
Suppose -2*c + 3*u = -7*c - 25, -c = 3*u + 17. Let p(a) = -a**2 - 2*a + 1. Let d be p(c). Find the second derivative of i - d - i**2 + 1 wrt i.
-2
Let i(r) be the second derivative of r**8/960 - r**5/20 - r**4/3 + r. Let x(a) be the third derivative of i(a). Differentiate x(v) wrt v.
21*v**2
Let r(o) be the first derivative of -3*o**2 - 9/4*o**4 + 0*o**3 + 0*o + 6. What is the second derivative of r(j) wrt j?
-54*j
Let q = -6 + 5. Let n be (q/2)/((-1)/4). What is the third derivative of 5 - 4 - n*c**2 - 1 - 3*c**4 wrt c?
-72*c
Let b(j) be the first d