i**3/6 - 5*i. Let r(x) be the second derivative of t(x). Find the first derivative of r(h) wrt h.
-1
Let c be 76/20 + (-2)/(-10). Find the second derivative of -f**2 + c - 4 - 2*f**2 - 2*f wrt f.
-6
Suppose -16 = 2*d + 4*v, -5*d - 3*v - 2*v = 15. Find the third derivative of -2*a**2 - 5*a**4 - 4*a**2 + 0*a**d wrt a.
-120*a
Let h = 18 - 10. Suppose h + 0 = 4*i. Find the second derivative of 3*g**2 - 6*g**2 - 2*g + i*g**2 wrt g.
-2
Let s(g) = 9*g**3 - 3*g**2 - 3. Let n(a) = -9*a**3 + 2*a**2 + 4. Let r(f) = 3*n(f) + 4*s(f). Find the third derivative of r(o) wrt o.
54
Let m(k) be the second derivative of -7*k**6/30 - 2*k**3/3 - 7*k. Find the second derivative of m(h) wrt h.
-84*h**2
Let d = 0 - -2. Let l(n) = -n**3 + 3*n**2 - n - 2. Let k be l(2). Differentiate -2 - q + d*q + k*q with respect to q.
1
Let u(v) be the third derivative of -v**2 + 0*v**3 + 0*v - 1/20*v**5 + 0*v**6 + 1/84*v**8 + 0 + 0*v**7 + 0*v**4. Find the third derivative of u(q) wrt q.
240*q**2
Let k(x) = 5*x**3 + 4*x**2 + 7*x + 4. Let i(o) = -o**3 - o**2 - 1. Let f(t) = -4*i(t) - k(t). What is the second derivative of f(z) wrt z?
-6*z
Suppose 3*x = -g + 5*g - 12, 0 = -4*x. What is the third derivative of g*z**2 + 3*z**2 + 0*z**2 - 5*z**2 + 2*z**6 wrt z?
240*z**3
Let f(c) = c**2 + c + 1. Let k(q) = -2*q**2 + 3*q + 6*q**2 + 5 + 3*q**2. Let h(n) = -10*f(n) + 2*k(n). Find the second derivative of h(w) wrt w.
8
Let n(c) = 2*c**2 + 6*c + 6. Let a be n(-3). Find the third derivative of 0*t**a + 7*t**6 - t**2 + t**6 wrt t.
960*t**3
What is the second derivative of 21*k + 17*k**5 - 12*k + 20*k wrt k?
340*k**3
Differentiate 4 - 13 - 4*z**2 + 4*z**2 + z**2 wrt z.
2*z
Let g(b) be the first derivative of -b**8/56 + b**4/12 - b**2/2 + 5. Let k(d) be the second derivative of g(d). What is the second derivative of k(f) wrt f?
-120*f**3
Let v(g) = 15*g**5 + 5*g**4 + g**2 + 7*g - 6. Let f(l) = 16*l**5 + 4*l**4 + l**2 + 6*l - 6. Let p(q) = 7*f(q) - 6*v(q). Find the third derivative of p(b) wrt b.
1320*b**2 - 48*b
Find the second derivative of -p**2 + p**2 + 6*p**5 + 12*p - 8*p wrt p.
120*p**3
Suppose 3 - 1 = -2*w. Let j(f) = -3*f**3 - 5*f**2 - f - 1. Let s(m) = -m**3 - m**2 - m - 1. Let r(a) = w*s(a) + j(a). Find the third derivative of r(q) wrt q.
-12
Let o(w) be the second derivative of -w**7/315 + w**5/120 - 7*w**4/12 - 4*w. Let c(p) be the third derivative of o(p). What is the derivative of c(q) wrt q?
-16*q
Let u(n) = 20*n - 76. Let m(v) = 5*v - 19. Let z(t) = -9*m(t) + 2*u(t). Find the first derivative of z(o) wrt o.
-5
Let m be (2/(-8))/((-8)/32). What is the second derivative of 181*w**3 - 172*w**3 - 1 + m + 3*w wrt w?
54*w
Differentiate 160*j + 25*j**2 + 9 - 160*j wrt j.
50*j
Find the second derivative of 18*i**5 + 13*i**5 + 21*i - 11*i**5 wrt i.
400*i**3
Suppose 2*o + 5 = 7*o. Let c be 0 + -1 + o + 4. Differentiate 0*b**4 + 2 - b**4 + 0*b**c with respect to b.
-4*b**3
Let k(x) = -18*x**3 - 17*x**2 + 50. Let z(i) = 6*i**3 + 6*i**2 - 17. Let r(t) = -6*k(t) - 17*z(t). Differentiate r(p) wrt p.
18*p**2
Let p(w) be the second derivative of -7*w**5/20 - 7*w**4/6 - 8*w. What is the third derivative of p(k) wrt k?
-42
Let d(f) be the first derivative of -2*f**3 - 4*f**2 + 15. Find the second derivative of d(a) wrt a.
-12
Let g(d) be the first derivative of d**6/10 - d**4/12 + 3*d + 3. Let y(a) be the first derivative of g(a). Find the third derivative of y(v) wrt v.
72*v
Let k(g) be the second derivative of g**8/1344 - g**5/30 - 5*g**4/12 + 3*g. Let q(t) be the third derivative of k(t). Differentiate q(y) with respect to y.
15*y**2
Find the third derivative of 2*l - 2*l - 133*l**3 - 15*l**2 + 122*l**3 wrt l.
-66
Let c(x) be the third derivative of x**6/20 - 7*x**4/24 + 2*x**2. What is the second derivative of c(r) wrt r?
36*r
Let o = -17 - -19. Let q(h) be the third derivative of 0 + 1/3*h**3 - 1/24*h**4 - o*h**2 + 0*h. Differentiate q(x) with respect to x.
-1
Find the first derivative of -3*q - 2 - 5*q + 1 + 4 wrt q.
-8
Let i(y) = -y**3 + 6*y**2 + 2*y - 8. Let c be i(6). What is the third derivative of -a**2 + 0 - a**4 + 0 - c*a**4 wrt a?
-120*a
Let q(s) = -6*s**4 + 29. Let f(j) = -5*j**4 + 29. Let o(t) = -5*f(t) + 6*q(t). Find the first derivative of o(m) wrt m.
-44*m**3
Suppose -3 - 3 = 3*k. Let o = k + 4. What is the third derivative of o*t**2 - t**5 - t**2 + t**2 - 3*t**2 wrt t?
-60*t**2
Let b(c) be the second derivative of -c**9/7560 - c**5/30 - c**4/12 + 3*c. Let h(f) be the third derivative of b(f). Differentiate h(w) with respect to w.
-8*w**3
Let z = -1 - -5. Suppose -4*l - 3*r + 5*r = -6, -z*r - 7 = -3*l. Differentiate -l - 3 + 1 - 2*a**4 with respect to a.
-8*a**3
Let x be (5 - 3 - 2)/2. Let l(q) be the second derivative of 1/6*q**3 - q + x - q**2. Differentiate l(n) wrt n.
1
Let n(l) = -l - 3. Let i be n(-7). What is the second derivative of -4*d - d**i + 4*d**4 + d wrt d?
36*d**2
Let j(i) be the second derivative of 19*i**6/30 + 5*i**4/4 + 30*i. What is the third derivative of j(q) wrt q?
456*q
Find the third derivative of -24*s**6 + 5*s**2 - 18*s**6 + 12*s**2 + 13*s**2 wrt s.
-5040*s**3
What is the second derivative of -9*b**3 + 8*b**3 - 39*b - 15*b - 30*b**3 wrt b?
-186*b
Let p(d) = -12*d**2 - 31. Let n(t) = -23*t**2 - 63. Let o(w) = 3*n(w) - 7*p(w). Differentiate o(h) with respect to h.
30*h
Let f(w) be the third derivative of -w**8/840 + w**6/120 - w**3/3 - 4*w**2. Let z(v) be the first derivative of f(v). Find the third derivative of z(n) wrt n.
-48*n
Let o(j) = -j**2 - j + 1. Let b(c) = 28*c**2 - 5*c + 9. Let t(q) = -b(q) + 5*o(q). Find the first derivative of t(d) wrt d.
-66*d
Let c(n) = -35*n**3 - 16. Let o(y) = 12*y**3 + 5. Let g(k) = -6*c(k) - 17*o(k). What is the first derivative of g(r) wrt r?
18*r**2
Let p(n) be the first derivative of -n**6/3 + 2*n**3/3 + 8. Find the third derivative of p(w) wrt w.
-120*w**2
Suppose 2*n = -1 + 15. Let a = -5 + n. What is the second derivative of -7 - a*t**2 + 7 - t wrt t?
-4
Let q(t) = t**2 - 2. Let j = 10 + -8. Let g be q(j). Find the third derivative of -3*m**2 - m**2 + 3*m**3 + g*m**2 wrt m.
18
Let p(t) be the first derivative of -4*t**5 + 47*t**2/2 - 15. What is the second derivative of p(x) wrt x?
-240*x**2
What is the second derivative of 4*h**3 + 2*h**2 + 0*h**3 + 5*h + 5*h**3 wrt h?
54*h + 4
Suppose -5*c = -2*t - 0*t - 7, -2*t + 2 = 4*c. Let g = 3 - -1. What is the derivative of -g + p - c + 8 wrt p?
1
Suppose -t + 2*b = -4, 0*b = -2*t - 2*b + 14. Let v(d) = d**4 + 1. Let c(x) = 3*x**4 + 7. Let h(y) = t*v(y) - c(y). What is the derivative of h(w) wrt w?
12*w**3
Let l(c) be the third derivative of -2/105*c**7 + 0*c**4 + 2*c**2 + 0*c + 0*c**6 + 0*c**5 + 0 + 4/3*c**3. What is the derivative of l(w) wrt w?
-16*w**3
Let b(j) = -13*j - 37. Let o(p) = p. Let g(t) = b(t) + 5*o(t). Differentiate g(q) with respect to q.
-8
Let x(m) = -12*m**2 + 15*m + 3. Let z(u) = -35*u**2 + 46*u + 8. Let p(y) = -8*x(y) + 3*z(y). What is the second derivative of p(k) wrt k?
-18
Let s = -4 + 8. Let n be -2 + s - 2/(-2). Differentiate b - n*b**3 - 2*b + b + 1 wrt b.
-9*b**2
Differentiate -18 - 15*g + 6*g + 6*g + 17*g wrt g.
14
Let g = 4 + -4. What is the second derivative of g*q + q**3 - 3*q**3 - q + 0*q wrt q?
-12*q
What is the second derivative of -42*h**4 + 84*h**4 - 36*h**4 - 26*h wrt h?
72*h**2
Let h(f) be the second derivative of -f**6/30 + 5*f**3/3 + 4*f. What is the second derivative of h(a) wrt a?
-12*a**2
Let a(r) be the third derivative of 0*r + 0 + 0*r**6 - 1/210*r**7 + 0*r**3 + 0*r**4 - r**2 + 1/60*r**5. Find the third derivative of a(z) wrt z.
-24*z
Let y(x) = -2*x**4 + 16*x**2 - 5*x - 5. Let w(t) = 2*t**4 - 17*t**2 + 4*t + 4. Let s(c) = 5*w(c) + 4*y(c). Find the third derivative of s(g) wrt g.
48*g
Let n = 13 + -10. What is the third derivative of 3*p**2 - p**3 - 3*p**n + 2*p**3 wrt p?
-12
Let a(r) be the first derivative of 0*r + 2/3*r**3 - 4 - 2*r**2. What is the second derivative of a(q) wrt q?
4
Let w(h) be the second derivative of 0*h**5 + 1/3*h**3 + 0*h**4 - 3*h + 0*h**2 - 1/6*h**6 + 0. Find the second derivative of w(s) wrt s.
-60*s**2
Let p be 1/(-2)*(-12)/2. Suppose 7*t = 2*t + z + 19, -2*t = 5*z + 14. Find the third derivative of -3*h**3 + t*h**3 + 5*h**3 - 3*h**p - 4*h**2 wrt h.
12
Let q(p) = 24*p**4 - 6*p**3 + 6*p**2 + 13*p 