f -v**8/5040 - v**6/240 + v**5/20 + v**2. Let m(h) be the third derivative of x(h). Differentiate m(f) wrt f.
-8*f
Let h(p) be the second derivative of -p**6/10 + 15*p**2/2 + 17*p. What is the first derivative of h(l) wrt l?
-12*l**3
Let u be -1*((-10)/2 + 3). Let l be (-4)/(-3) + (-2)/(-3). Differentiate 0 + l*a**u + 4 - 6 wrt a.
4*a
Suppose 14 = 2*w + 4*v, -2*w - 6 = -4*v + 4. Suppose 2*l + 7 = 5*f, -l = -2*l - w. What is the derivative of -2*y**3 + 15*y - 15*y + f wrt y?
-6*y**2
Let q(r) = -4*r**3 - r - 6. Let o(i) = -i. Let h(t) = o(t) - q(t). Differentiate h(c) with respect to c.
12*c**2
Let o(f) = -f + 0 - 4 - 2*f. Let m(j) = 3*j + 4. Let i(d) = -6*m(d) - 5*o(d). What is the derivative of i(k) wrt k?
-3
Let i(z) = -28*z - 47. Let b(c) = 19*c + 31. Let n(w) = -7*b(w) - 5*i(w). What is the derivative of n(p) wrt p?
7
Let c(l) be the third derivative of 0 - 5/6*l**3 - 1/8*l**4 + 0*l + 5*l**2. Differentiate c(b) wrt b.
-3
Let n = -8 + 5. Let t be 3 + (-9)/n + -2. Differentiate -r**2 + 3*r**4 + t - 3 + r**2 with respect to r.
12*r**3
Let h(i) be the first derivative of 20*i**3/3 + 6*i**2 - 9. Find the second derivative of h(g) wrt g.
40
Suppose 2*y = x + x + 4, 0 = -2*y + 8. Suppose -8 = -d + s, s = x - 4. What is the third derivative of 0*b**5 - 4*b**2 + 0*b**5 + 6*b**2 - 2*b**d wrt b?
-240*b**3
Let n(i) = i**3 - i**2 - 4*i - 1. Let w be (2 + (-3)/6)*2. Let s be n(w). Find the third derivative of 7*d**5 - 3*d**5 + 2*d**2 - 3*d**5 - 2*d**s wrt d.
-60*d**2
Let o(g) = 31*g**2 + 5*g - 9. Let n(r) = 16*r**2 + 3*r - 4. Let y(s) = -5*n(s) + 3*o(s). Differentiate y(u) with respect to u.
26*u
Let a(n) = -n**2 + n - 1. Let h(m) = -13*m**2 - 2*m - 8. Let x(k) = -4*a(k) - 2*h(k). Find the first derivative of x(o) wrt o.
60*o
Let i = 3 + 0. What is the second derivative of -2*p + 2*p**3 + i*p - 2*p wrt p?
12*p
What is the first derivative of 7 + 6*a - 4 + 0*a + 2 wrt a?
6
What is the first derivative of -3281*t - 13 + 40 + t**2 + 3276*t wrt t?
2*t - 5
What is the first derivative of 2 + a**3 - 2*a**4 - 9*a**3 + 8*a**3 wrt a?
-8*a**3
Suppose -2*m = -5*m + 15. Suppose 2 = m*u - 8. Find the second derivative of z**4 - 5 - 3*z + 3 + u wrt z.
12*z**2
Find the second derivative of 194*d**5 + d**3 - 102*d**5 + 3*d - 93*d**5 - 6 wrt d.
-20*d**3 + 6*d
Let o = -12 - -17. What is the third derivative of 2*w**5 - 2*w**o + 18*w**6 - 12*w**6 - 6*w**2 wrt w?
720*w**3
Let t(m) = -13*m**4 + 6*m**3 + 6*m**2 + 7. Let p(z) = -14*z**4 + 7*z**3 + 7*z**2 + 8. Let u(k) = -6*p(k) + 7*t(k). What is the first derivative of u(q) wrt q?
-28*q**3
Let g(j) be the first derivative of 2*j**7/7 + 5*j**3/3 - 3. What is the third derivative of g(x) wrt x?
240*x**3
Find the second derivative of -6*y + 20*y**2 - 8*y**2 - 11*y**2 wrt y.
2
Let t(k) be the first derivative of 4*k**6/3 + 10*k**3/3 - 6. Find the third derivative of t(f) wrt f.
480*f**2
Let l(m) be the third derivative of 3*m**7/70 + 13*m**4/24 - 7*m**2. Find the second derivative of l(x) wrt x.
108*x**2
Let r be (10/4)/(1/2). Let f be (-14)/(-10) - 2/r. Differentiate -f - 3*v + 4*v - 1 wrt v.
1
Let n(l) be the third derivative of -2*l**7/15 - 19*l**3/3 + 19*l**2. What is the derivative of n(m) wrt m?
-112*m**3
Let o = 8 - 5. Suppose 3*p = -5*c + 34, 5*p - 5*c + 6 + 4 = 0. Differentiate p*z**4 + 1 - 1 + o with respect to z.
12*z**3
What is the second derivative of 18*t**4 - 13*t**4 + 25*t + 43*t**4 wrt t?
576*t**2
Differentiate -5 + 21 - 5*d**2 + 23 wrt d.
-10*d
Let f(n) = n. Let k(q) = -q + 1. Let c(h) = -2*f(h) - 3*k(h). Let r be c(6). Find the second derivative of 4*v + 2*v**r - 2*v + v**3 wrt v.
18*v
Let i(o) = 0 + 6 + 4*o**2 - o**2. Let q(s) be the second derivative of -s**4/12 - s**2/2 + 2*s. Let j(c) = i(c) + 4*q(c). Differentiate j(g) with respect to g.
-2*g
Let x = -17 + 21. What is the second derivative of x*u - 2*u + 6*u**2 - 7*u**2 wrt u?
-2
What is the third derivative of -16*q**5 + q - 4*q - 19*q**2 + 3*q wrt q?
-960*q**2
Let t(f) = 3*f**3 + 3*f**2 + 4*f + 37. Let n(o) = -4*o**3 - 3*o**2 - 5*o - 38. Let s(k) = -4*n(k) - 5*t(k). What is the first derivative of s(v) wrt v?
3*v**2 - 6*v
What is the second derivative of o**4 + 5*o**4 - 2*o**4 - o + 4*o**4 wrt o?
96*o**2
Let c(l) = l**4 + 5*l**2 - 4*l + 4. Let j(p) = p**4 - p + 1. Let t(v) = -c(v) + 4*j(v). Find the third derivative of t(s) wrt s.
72*s
Let m = -4 + 8. What is the third derivative of a**4 + 0*a**m + 2*a**4 - 3*a**2 + 0*a**2 wrt a?
72*a
Let l(i) be the second derivative of 3*i**5/5 + 5*i**3/3 - 11*i. Find the second derivative of l(a) wrt a.
72*a
What is the second derivative of 232 - 232 - 15*i + 24*i**2 wrt i?
48
Let w(j) = -j**3 - j**2 + 2*j - 2. Let m(c) = 2*c**2 - 3*c + 3. Let f be -3 + (-1 - 0)*-1. Let t(n) = f*m(n) - 3*w(n). Find the third derivative of t(y) wrt y.
18
Let q(m) be the third derivative of 0*m**6 + 0*m**4 - 2*m**2 + 1/12*m**5 + 1/70*m**7 + 0*m + 0 + 0*m**3. What is the third derivative of q(y) wrt y?
72*y
Suppose -4*w - w = -15. What is the second derivative of -23*f + 28*f + 2*f**w - 3*f**3 wrt f?
-6*f
Let u be (3 - 2) + 0 + 3. Find the third derivative of -2*s**4 + 2*s - s**2 - 2*s - s**u wrt s.
-72*s
What is the first derivative of -32*a - 13 + 13*a + 24*a wrt a?
5
Let x(r) = -2*r + 1. Let n be x(-2). Find the third derivative of -62 + n*o**2 + 62 + o**5 wrt o.
60*o**2
Let z(q) be the second derivative of -q**6/10 - q**3/6 - 10*q. What is the second derivative of z(p) wrt p?
-36*p**2
Let m(x) be the first derivative of -3*x**2 + 28*x + 2. What is the derivative of m(k) wrt k?
-6
Suppose 11 - 1 = 5*f. Let j(c) be the second derivative of -1/15*c**6 + 0*c**5 + 2*c + 0*c**4 + 1/3*c**3 + 0*c**f + 0. Find the second derivative of j(g) wrt g.
-24*g**2
Let d(s) be the first derivative of -11*s**5/5 + 2*s + 9. Differentiate d(f) wrt f.
-44*f**3
Let g(b) = 4*b**2 + 5*b - 6. Let i(f) = -4*f**2 - 4*f + 5. Let x(n) = -4*g(n) - 5*i(n). What is the first derivative of x(l) wrt l?
8*l
Let t(n) = n**3 - 7*n**2 - 7*n - 3. Let i be t(8). Find the second derivative of f**5 - 6*f**i + 5*f - 4*f wrt f.
-100*f**3
Let q(l) = -5*l**3 - 4*l**2 - 4*l - 2. Let g(m) = 7*m**2 + m**3 + 8*m**3 - 22*m + 29*m + 3. Let f(b) = 4*g(b) + 7*q(b). Find the first derivative of f(s) wrt s.
3*s**2
Let p be (-4)/(-6) + 1/3. Find the first derivative of -1 + 2*r + 2 + p + 0 wrt r.
2
Let j(b) = 5*b**5 + b**4 + b**3 - 3*b**2 + b - 1. Let i(m) = -m**4 - m**3 + m**2 - m + 1. Let q(f) = i(f) + j(f). Find the third derivative of q(p) wrt p.
300*p**2
Let v(h) = -7*h + 1. Let f(i) = 7*i. Let c(y) = 6*f(y) + 5*v(y). Differentiate c(z) with respect to z.
7
Let t(p) be the first derivative of -p**5 - 2*p - 4. Find the first derivative of t(a) wrt a.
-20*a**3
Suppose -2*d + 14 = 4. Suppose g = 3*k - 20, -2*k - 4*g = g + 15. Find the third derivative of -2*u**2 + u**k - u**5 + 3*u**d + 4*u**2 wrt u.
180*u**2
What is the first derivative of 43 - 4*n**4 - 27 + 4*n**4 + 19*n**4 wrt n?
76*n**3
Suppose -24 = -4*b - 2*b. What is the first derivative of 0 + 7 - 2*z**4 + 0*z**b wrt z?
-8*z**3
Suppose 8 = -b + l + l, -4*b + l = 39. Let j be (2 - 10/4)*b. What is the third derivative of -h**2 - h**6 + 26*h**5 - 26*h**j wrt h?
-120*h**3
Let o(n) = 22*n + 2. Let z(d) = 88*d + 8. Let m(q) = -26*o(q) + 6*z(q). Differentiate m(g) wrt g.
-44
Let w(m) = 3*m**2 + 6*m + 3. Let v(n) = -2 + n**2 + n - 2 + 5. Let b(u) = 6*v(u) - w(u). What is the derivative of b(l) wrt l?
6*l
Let f be (-12)/(-48)*2*1. Let p(d) be the first derivative of 0*d**3 + 0*d + d**2 + 0*d**4 + 0*d**5 + f*d**6 - 2. What is the second derivative of p(s) wrt s?
60*s**3
Let f(x) be the first derivative of x**2/2 + 9*x + 9. Differentiate f(n) wrt n.
1
Let g be 2/(-5)*-5*1. Let h(o) be the first derivative of 0*o**2 + g + 1/3*o**3 - o. What is the first derivative of h(y) wrt y?
2*y
Let a(x) = 46*x**5 - 4*x**3 - 8*x. Let w(p) = -p**5 + p**3 - p. Let i(c) = -a(c) - 4*w(c). Find the second derivative of i(b) wrt b.
-840*b**3
Find the third derivative of -64*y**4 - 4*y**2 + 61*y**4 + 0*y**3 + 0*y**3 wrt y.
-72*y
Let d = 7 + -2. What is the third derivative of -5*x**5 + 4*x**2 + x**2 - 5*x**d wrt x?
-600*x**2
Suppose 4*v + v - 4*s = 60, v = -4*s - 12. What is the second derivative of -2*t**3 - 5*t - v*t**4 + 2*t**3 wrt t?
-96*t**2
What is the