7*f**3 + 31*f**2/2 - 21. What is the second derivative of y(q) wrt q?
-42
Let j = 18 - 15. Differentiate j + l**4 + 7 - 4 wrt l.
4*l**3
Let b(r) be the first derivative of r**5 + 5*r**4/4 + 32*r**2 - 15. What is the second derivative of b(s) wrt s?
60*s**2 + 30*s
Let r be (-12)/8 - 17/(-2). Suppose -4*o = 3*y - 0*o + r, 2*y - 3*o = 18. What is the second derivative of -3*k**3 + 0*k - y*k + 2*k wrt k?
-18*k
Let r(q) be the second derivative of 0*q**3 + 2*q**2 - 2*q + 0 + 0*q**4 + 0*q**5 + 1/6*q**6. What is the first derivative of r(u) wrt u?
20*u**3
Let o(w) be the third derivative of -w**9/168 + 13*w**5/15 - 40*w**2. What is the third derivative of o(i) wrt i?
-360*i**3
Let u(s) = 55*s**4 + 6*s**3 - 6*s**2 - 22*s + 3. Let v(i) = -i**3 + i**2 + i. Let k(r) = u(r) + 6*v(r). Find the second derivative of k(q) wrt q.
660*q**2
What is the first derivative of -21 - 2*a**3 + 12 + 10 wrt a?
-6*a**2
Let y(o) be the second derivative of -o - 1/2*o**3 + 0 - 1/2*o**2. What is the derivative of y(b) wrt b?
-3
Let t be ((-1)/2)/(4/(-16)). What is the second derivative of 2*i - t*i**4 + 2*i + 4*i**4 wrt i?
24*i**2
Let s(a) = 2*a**4 + 3*a**3 - 1. Let w(y) = -y**4 + y**3. Let t(m) = s(m) - 3*w(m). Differentiate t(z) with respect to z.
20*z**3
Suppose k = -3*o + 25 - 4, k + 3 = o. Let u be 2/2*(1 + o). Find the first derivative of 1 + b + 3 + b - u wrt b.
2
Let z = 8 - 4. Find the second derivative of 4*w**5 - 2*w - w + z*w wrt w.
80*w**3
Let h(t) = -t**3 + 6*t**2. Let g be h(6). Let x(j) be the first derivative of -3*j - 1 + 1/2*j**4 + g*j**3 + 0*j**2. What is the first derivative of x(k) wrt k?
6*k**2
Let i(c) be the first derivative of 7*c**4/12 + 3*c**2 - 5*c - 2. Let h(u) be the first derivative of i(u). Differentiate h(p) wrt p.
14*p
What is the first derivative of -11 - 6 - 6*x**4 + 0*x**4 wrt x?
-24*x**3
Let j = 10 - 7. Suppose -p = j*p. What is the third derivative of y**5 - y**2 + p*y**5 + 5*y**2 - 5*y**5 wrt y?
-240*y**2
Let o = 4 - 2. Differentiate 1 - 2*d**o - 2*d**2 + 0*d**2 with respect to d.
-8*d
Let n(w) be the third derivative of -3*w**2 + 1/6*w**4 - 3/2*w**3 + 0 + 0*w. What is the first derivative of n(v) wrt v?
4
Let c(h) = 7*h**2 - 6*h + 2. Let x(p) = -p**2 + p. Let y = -3 + 4. Let n be y*(-1)/2*-2. Let a(f) = n*c(f) + 6*x(f). Differentiate a(d) wrt d.
2*d
Find the second derivative of 0*p**4 + 3*p**4 - 3*p**3 - 45*p + 2*p**3 wrt p.
36*p**2 - 6*p
Let z(s) = -s + 5. Let g be z(4). Let u = 4 - g. What is the second derivative of 2*l**2 - 5*l + 3*l + u*l wrt l?
4
What is the second derivative of 2*a**2 + 4*a - 4*a**2 - 2*a**2 - 2*a**2 wrt a?
-12
Find the first derivative of 59*b**3 - 59*b**3 + 8 - 1 - 2*b**4 wrt b.
-8*b**3
Differentiate -293 - 13*m + 134 + 122 with respect to m.
-13
Let t(g) be the first derivative of 0*g**3 + 0*g**5 - 1/6*g**6 + 3 + 0*g + 0*g**4 + 2*g**2. Find the second derivative of t(k) wrt k.
-20*k**3
Let x(k) be the second derivative of -k**9/15120 + k**5/60 + k**4/4 + 3*k. Let g(d) be the third derivative of x(d). Differentiate g(c) wrt c.
-4*c**3
Find the second derivative of -352*d**4 + 7*d + 343*d**4 + 3*d wrt d.
-108*d**2
Suppose -98 = -0*u - 3*u - 4*o, -3*u + 5*o + 134 = 0. What is the third derivative of 8*c**6 + u - 38 - 5*c**2 wrt c?
960*c**3
Let o(c) be the second derivative of c**7/420 - c**6/120 - c**3/3 + 3*c. Let p(t) be the second derivative of o(t). Find the third derivative of p(v) wrt v.
12
Let m(p) = -2*p**3 - 15*p + 3. Let t(h) = -3*h**3 - 14*h + 2. Let g(c) = 4*m(c) - 6*t(c). What is the second derivative of g(j) wrt j?
60*j
Suppose -4*g = 4*p + 4, 4*p = p - 5*g - 11. Find the third derivative of 2*h**2 - 4*h**2 - h**3 + p*h**3 wrt h.
12
Suppose -4*i = 5*k - 1 + 4, -k = i. Find the third derivative of -2*t**3 + 2*t**2 + 9*t**3 - 5*t**i wrt t.
12
Let f(q) be the third derivative of -5*q**2 + 0*q**3 + 0*q - 7/24*q**4 - 1/60*q**5 + 0. Find the second derivative of f(z) wrt z.
-2
Let o(l) be the first derivative of l**4/4 + 2*l**2 - 7. What is the second derivative of o(n) wrt n?
6*n
Let l(y) be the second derivative of 0*y**3 + 0*y**5 - y + 1/15*y**6 + 3/2*y**2 + 0 + 0*y**4. What is the first derivative of l(c) wrt c?
8*c**3
Let m(f) = -f + 4. Let g(c) = -2*c + 7. Let h(j) = -3*g(j) + 5*m(j). Let d be h(2). What is the first derivative of 5*b - 5*b - d + b**2 wrt b?
2*b
Let n(i) = -8*i**3 - 10*i**2 - 44*i - 10. Let o(c) = c**2 + c + 1. Let w(x) = n(x) + 10*o(x). What is the second derivative of w(j) wrt j?
-48*j
Let d(w) = -6*w**2 + 11. Let l(b) be the first derivative of -b - 4. Let u(q) = d(q) + 4*l(q). Find the first derivative of u(x) wrt x.
-12*x
Let a(j) be the second derivative of 0*j**5 + 0*j**4 + 1/15*j**6 + 0*j**2 + 0 - j**3 + 4*j. Find the second derivative of a(f) wrt f.
24*f**2
Let a(p) be the second derivative of -p**9/3780 + p**7/630 + p**4/4 + 3*p. Let d(o) be the third derivative of a(o). Find the third derivative of d(x) wrt x.
-96*x
Suppose 0 = 5*f + u + 5, 4*f - 3*u + 2*u + 4 = 0. Let c = f - -2. Differentiate -30*s - s**2 - c + 30*s with respect to s.
-2*s
Let h(y) be the first derivative of 0*y**6 + 3 - 2/3*y**3 + 0*y + 1/7*y**7 + 0*y**4 + 0*y**2 + 0*y**5. What is the third derivative of h(q) wrt q?
120*q**3
Let m(d) = d**2 - 1. Let t(n) = -15*n**2 + 14*n - 5. Let y(u) = -5*m(u) + t(u). Find the second derivative of y(v) wrt v.
-40
Let v(q) be the second derivative of -q**5/60 - q**4/8 - q**3/3 - 5*q. Let u(j) be the second derivative of v(j). Differentiate u(b) with respect to b.
-2
What is the third derivative of -14*y**5 - 105*y**4 - 7*y**2 + 105*y**4 wrt y?
-840*y**2
Let j(w) = w**3 - w**2 + 2*w - 3. Let q be j(2). What is the second derivative of y**3 - 13 + 13 - q*y wrt y?
6*y
Let h = 7 + -7. Suppose -3*f - 10 - 3 = -5*w, -5 = -4*w - 3*f. What is the second derivative of 0*z**2 + 0*z + 3*z**4 + z + h*z**w wrt z?
36*z**2
Suppose -4 = -4*l - 28. Let v(q) = -3*q**2 - 5*q - 6. Let g(h) = 4*h**2 + 6*h + 7. Let z(c) = l*g(c) - 7*v(c). What is the second derivative of z(a) wrt a?
-6
Let g be (1/(-2))/(2/(-12)). Let y(u) = 13*u**2 + 3*u - 2. Let b(s) = -38*s**2 - 8*s + 7. Let m(p) = g*b(p) + 8*y(p). Find the first derivative of m(w) wrt w.
-20*w
Let m(o) = 3*o**2 - o. Let y be m(1). What is the second derivative of 16*h - 10*h + 6*h**y + 0*h**2 wrt h?
12
What is the first derivative of -1 - 6 + 8*c + 2*c + c wrt c?
11
Let s(p) be the first derivative of -3/5*p**5 + 0*p + 0*p**4 + 5/3*p**3 + 0*p**2 - 4. Find the third derivative of s(x) wrt x.
-72*x
Let a(p) be the first derivative of -5*p**8/336 - p**4/6 - p**2/2 + 5. Let l(r) be the second derivative of a(r). What is the second derivative of l(m) wrt m?
-100*m**3
Let j(b) = 3*b**3 - 11*b. Let p(f) = -2*f**3 + 5*f. Let u(c) = -3*j(c) - 5*p(c). Find the second derivative of u(t) wrt t.
6*t
Let o(m) be the second derivative of 0*m**2 + 1/14*m**7 + 0*m**5 + 0 + 0*m**3 + 3*m + 0*m**6 + 1/12*m**4. Find the third derivative of o(l) wrt l.
180*l**2
Let z(j) = 80*j**3 - 2*j + 1. Let t be z(1). What is the second derivative of -6*i**3 + t - 79 - 2*i wrt i?
-36*i
Let m(j) be the second derivative of -5*j**4/4 - 4*j**2 + 5*j. Find the first derivative of m(w) wrt w.
-30*w
Let t(r) be the second derivative of -3*r**5/10 + 7*r**3/6 + 2*r. What is the second derivative of t(l) wrt l?
-36*l
Let g(n) be the third derivative of 1/210*n**7 + 0*n**5 + n**2 + 0*n**6 + 0*n + 1/24*n**4 + 0*n**3 + 0. What is the second derivative of g(x) wrt x?
12*x**2
Differentiate 7*y**4 - 35 + 56*y**3 - 56*y**3 - 28*y**4 wrt y.
-84*y**3
Let g(z) = -20*z**4 + 12*z**3 - 12*z - 78. Let d(k) = -8*k**4 + 5*k**3 - 5*k - 31. Let l(y) = -12*d(y) + 5*g(y). What is the derivative of l(b) wrt b?
-16*b**3
Let h be (-4 + -1)/(-1 + 2). Let c(b) = -4*b**2 + 3*b + 6. Let s(f) = 8*f**2 - 5*f - 11. Let r(g) = h*c(g) - 3*s(g). Find the first derivative of r(a) wrt a.
-8*a
Let t(v) be the first derivative of 2 + 0*v**4 + 0*v + 3/5*v**5 + v**3 + 0*v**2. Find the third derivative of t(c) wrt c.
72*c
Find the second derivative of 0*s**2 + 3*s**2 - 6*s + 2*s**2 + 0*s wrt s.
10
Let m(w) = -w**6 - w**5 + w**2 + w + 1. Let z(g) = -g**6 + 6*g**5 + 8*g**2 - 6*g - 6. Let b(k) = 6*m(k) + z(k). Find the third derivative of b(x) wrt x.
-840*x**3
Let z(d) = -5*d**4 - 2*d**2 - 2*d + 8. Let s(o) = 11