 3*x - h*x + 4 + 2*x with respect to x.
3
What is the second derivative of 3*x**4 - 15*x + 2*x**4 + 22*x wrt x?
60*x**2
Let m(u) = -u - 1. Let f be m(-7). What is the derivative of 6*t + 2*t**2 - f*t + 1 wrt t?
4*t
Suppose -3*w = 2*w - 10. Suppose 3*q = -2*q + 15. Find the first derivative of 1 - q + 4 + z**w wrt z.
2*z
Let x(k) = -8*k**3 + 4*k**2 + 19. Let a(o) = 24*o**3 - 11*o**2 - 56. Let n(j) = -4*a(j) - 11*x(j). Find the first derivative of n(m) wrt m.
-24*m**2
Let c(s) = 4*s**3 + 6*s**2 + 7. Let m(p) = -7*p**3 - 11*p**2 - 13. Let g = 35 - 24. Let t(a) = g*c(a) + 6*m(a). What is the first derivative of t(b) wrt b?
6*b**2
Let o be 21/(-14)*8/(-6). Let x = o - 0. Let a(k) = -3*k**4 - 1. Let t(j) = 2*j**4 + 1. Let z(d) = x*a(d) + 5*t(d). Find the first derivative of z(g) wrt g.
16*g**3
Let j(w) be the first derivative of -2*w - 2 + 0*w**3 - 1/4*w**4 + 0*w**2. What is the derivative of j(r) wrt r?
-3*r**2
Let p(h) = 5*h**4 + 3*h**3 - 3*h**2 + 3*h - 5. Let z(f) = -5*f**4 - 2*f**3 + 2*f**2 - 2*f + 4. Let c(d) = 2*p(d) + 3*z(d). What is the derivative of c(a) wrt a?
-20*a**3
Let s(j) = -j**2 - 9*j - 8. Let m be s(-8). Let o(z) be the third derivative of 1/24*z**4 - 1/6*z**3 - z**2 + m + 0*z. Find the first derivative of o(b) wrt b.
1
Let h(c) be the first derivative of -c**5/15 + c**4/8 - c**3/3 - 9. Let a(q) be the third derivative of h(q). Find the first derivative of a(j) wrt j.
-8
Let d(f) = 3 + 4*f - 5*f + f**2 - 1. Let m be d(2). What is the first derivative of m*y**3 + y - 2 - y - y**3 wrt y?
9*y**2
Let v = 18 + -15. Let l(u) = u. Let p be l(2). Differentiate -4*r + v - 3 - 2 - p wrt r.
-4
Suppose 0*f - 3*f = 0. Let b = 0 + f. What is the second derivative of -5*u - u**4 + 3*u + b*u wrt u?
-12*u**2
Let s be 56/8 + 0 + 0. Find the second derivative of -7*a + s*a**5 + 3*a - 3*a**5 wrt a.
80*a**3
Let z be -1 - (1 - 8)*1. Let j(o) be the first derivative of 0*o**4 + 1/3*o**3 - 1/3*o**z + 0*o**5 + 1 + 0*o + 0*o**2. Find the third derivative of j(i) wrt i.
-120*i**2
Let t(u) = -u - 2. Let g be t(0). Let o(c) = 7*c**2 - 1. Let q(s) = 8*s**2 - 1. Let f(w) = g*q(w) + 3*o(w). Differentiate f(y) with respect to y.
10*y
Let x(q) be the first derivative of -1/6*q**6 + 0*q**3 + 0*q + 0*q**5 + 3 - 2*q**2 + 0*q**4. What is the second derivative of x(a) wrt a?
-20*a**3
Let m(i) be the first derivative of 7*i**2/2 + 6*i + 2. Let h(d) = -14*d - 13. Let a(w) = 2*h(w) + 5*m(w). What is the first derivative of a(s) wrt s?
7
What is the second derivative of -22*j + 7*j + 27*j + 23*j**3 wrt j?
138*j
Find the third derivative of -11*b**6 - 28*b**2 - 4*b**6 + 0*b**6 wrt b.
-1800*b**3
Suppose -2*l - 2 = -8. Find the third derivative of 6*d**2 - 4*d**2 + 0*d**4 + l*d**4 + 2*d**4 wrt d.
120*d
Let g(a) = 16*a + 31. Let k(m) = 8*m + 15. Let n(t) = 6*g(t) - 13*k(t). Differentiate n(q) wrt q.
-8
Let c(o) be the third derivative of -2*o**2 + 0*o + 1/12*o**4 - 1/2*o**3 + 0. Differentiate c(l) with respect to l.
2
Let v = 33 - 33. Let f(n) be the second derivative of n + 0 + 0*n**6 + 1/6*n**4 + v*n**5 + 0*n**2 + 0*n**3 + 1/42*n**7. Find the third derivative of f(y) wrt y.
60*y**2
Let x(z) be the second derivative of -13*z**4/12 - 3*z**2/2 - 4*z. What is the first derivative of x(g) wrt g?
-26*g
Let r(g) be the second derivative of g**6/120 + 2*g**3/3 + g**2/2 + 2*g. Let l(w) be the first derivative of r(w). Differentiate l(x) wrt x.
3*x**2
Suppose 11 + 1 = 4*i. Let g(f) be the third derivative of 0*f + 0*f**4 + 0*f**i - 1/120*f**6 + 1/30*f**5 - f**2 + 0. What is the third derivative of g(c) wrt c?
-6
Let h(d) = -2*d**4 + 3*d**3 + d**2 - 3*d. Let b(g) = g**4 - g**3 - g**2 + g. Let v(t) = 3*b(t) + h(t). What is the third derivative of v(k) wrt k?
24*k
Let q be -1*((0 - 0) + -7). Let d(n) = -n**3 + 8*n**2 - 7*n + 2. Let z be d(q). What is the derivative of z + 2*f**2 + 0 - 1 wrt f?
4*f
Let w = -2 - -4. What is the third derivative of 0*t**2 + 0*t**w + t**6 - 3*t**2 wrt t?
120*t**3
Find the second derivative of -17 + 2*p**5 + 12 + 3 + 4*p + 27*p**5 wrt p.
580*p**3
Let g(l) = 8*l**2 - 5*l + 6. Let m(y) = -y**2 - 1. Let o(s) = g(s) + 6*m(s). What is the second derivative of o(i) wrt i?
4
Suppose 3*s - 4 = 8. Find the second derivative of s + 2*v - 4 + 3*v**2 wrt v.
6
What is the first derivative of 2 + 198*h**3 + 201*h**3 - 391*h**3 wrt h?
24*h**2
What is the third derivative of -22*f**3 - 230*f**2 + 209*f**2 + 7*f**3 wrt f?
-90
Let o(i) be the third derivative of -2*i**6/15 + i**3/3 + 24*i**2. Find the first derivative of o(q) wrt q.
-48*q**2
Let p(f) be the second derivative of -f**5/10 + f**2/2 + 8*f. Differentiate p(t) wrt t.
-6*t**2
Let x(d) = d**3 - d. Let g(y) = 33*y**4 - 66*y**3 + 66*y - 33. Let r(u) = -g(u) - 66*x(u). Find the first derivative of r(z) wrt z.
-132*z**3
Suppose 0 = s - 7 - 4. Suppose 5*y = 4 + s. Differentiate 1 + 0*j - y*j + 2*j - 2*j with respect to j.
-3
Let r(q) = q**2 + 3*q + 8. Let v be r(-6). Find the first derivative of -4*n**3 + 2 - 26*n + v*n wrt n.
-12*n**2
Find the second derivative of -13*t - 6*t**2 + 3*t**2 - 4*t**2 + 2*t**2 wrt t.
-10
What is the second derivative of -4*t**4 + 9*t + 281*t**2 - 281*t**2 wrt t?
-48*t**2
Let p be (-2)/7 - (-531)/21. Let u be p/10 - (-1)/2. What is the first derivative of -7*n + 7*n + 1 - 3*n**u wrt n?
-9*n**2
Let u(t) be the third derivative of -3*t**6/40 - 7*t**4/24 - 11*t**2. What is the second derivative of u(d) wrt d?
-54*d
Find the second derivative of -3*v + 4*v + v - 3*v - 6*v**2 wrt v.
-12
Let b(u) = -45*u - 18. Let o(v) = -22*v - 9. Let k(h) = 4*b(h) - 7*o(h). Find the first derivative of k(d) wrt d.
-26
Let m(l) = 22*l**3 - 3*l**2 + 3*l - 29. Let j(b) = -45*b**3 + 7*b**2 - 7*b + 58. Let g(h) = 3*j(h) + 7*m(h). Differentiate g(a) wrt a.
57*a**2
Let r(b) be the second derivative of b**8/168 - b**6/360 - 4*b**3/3 + 10*b. Let f(k) be the second derivative of r(k). Find the third derivative of f(y) wrt y.
240*y
Let l be 10/3 - 8/24. What is the derivative of 0*s**3 + 0 + 1 - 8*s**l + 2 wrt s?
-24*s**2
What is the second derivative of 61*o**5 + 3*o + 2*o - 45*o**5 - 3*o wrt o?
320*o**3
Let a(m) be the third derivative of m**6/24 + 5*m**3/2 + 15*m**2. Differentiate a(v) with respect to v.
15*v**2
Let o(y) be the second derivative of 1/4*y**4 + 0 + 1/2*y**3 + 0*y**2 + 4*y. What is the second derivative of o(r) wrt r?
6
Let w be 53/4 + (-6)/(-8). Let k = w + -9. Find the third derivative of 35*h**3 - 2*h**k - 3*h**2 - 35*h**3 wrt h.
-120*h**2
Let b(d) = -d**2 - d + 1. Let k(x) = -12*x**2 - 11*x + 2. Let g(p) = 2*b(p) - k(p). What is the second derivative of g(m) wrt m?
20
Let f(q) be the first derivative of -7 - 4*q**2 - 7/6*q**6 + 0*q + 0*q**4 + 0*q**5 + 0*q**3. What is the second derivative of f(h) wrt h?
-140*h**3
Let k(p) be the third derivative of 3*p**8/56 - 17*p**5/60 - 23*p**2. What is the third derivative of k(a) wrt a?
1080*a**2
Let r = 7 - 6. Let n be (-2 + r)*3*-1. What is the third derivative of 2*l**2 + 3*l**6 + n*l**2 - 4*l**2 wrt l?
360*l**3
Let p(f) be the second derivative of 11*f**8/56 + 2*f**4 - 2*f. Find the third derivative of p(w) wrt w.
1320*w**3
Suppose -6 = -x - 3. What is the second derivative of k - k**3 + k**3 - 2*k**x - 2*k wrt k?
-12*k
Differentiate -6*x**4 - 4*x**4 + 7*x**4 - 4 wrt x.
-12*x**3
Let i(q) = q**2 + 9*q + 60. Let t(o) = -2*o**2 - 16*o - 121. Let p(y) = 9*i(y) + 4*t(y). What is the first derivative of p(s) wrt s?
2*s + 17
Let v(i) = -50*i**2 - 25. Let h(c) = 25*c**2 + 13. Let u(s) = -9*h(s) - 4*v(s). What is the derivative of u(q) wrt q?
-50*q
Let w(h) = -11*h**4 - 4*h**2 + 7*h + 7. Let v(o) = 10*o**4 + 3*o**2 - 6*o - 6. Let m(q) = -7*v(q) - 6*w(q). Find the third derivative of m(r) wrt r.
-96*r
Let h(c) be the first derivative of 5 - 5/4*c**4 - c**3 + 0*c + 0*c**2. What is the third derivative of h(p) wrt p?
-30
Let t be (1/(-2))/((-2)/8). What is the derivative of -1 - y - y - t*y + 2 wrt y?
-4
Let f = 24 + -20. Find the third derivative of 6*v**2 - 7*v**2 - 6*v**f - 5*v**2 wrt v.
-144*v
Let i(p) be the second derivative of 0*p**2 - 5/42*p**7 + 0*p**6 - 1/4*p**4 + 0 + 0*p**5 + 0*p**3 + 4*p. What is the third derivative of i(h) wrt h?
-300*h**2
Let o(x) be the third derivative of -x**7/105 - x**6/72 - x**3 - 8*x**2. Let b(i) be the first derivative of o(i). What