erivative of r(v) wrt v?
-360*v**2 - 72*v
Let v(o) be the third derivative of -3*o**6/40 - o**4/6 - 5*o**3/3 - 5*o**2 - 2*o. Differentiate v(l) wrt l.
-27*l**2 - 4
Let n(b) be the second derivative of 2*b**6/3 + 3*b**5/20 - 59*b**4/12 + b**2/2 - 62*b + 2. What is the third derivative of n(p) wrt p?
480*p + 18
Let m(g) be the second derivative of -13*g**5/20 - 261*g**2 + 770*g. Find the first derivative of m(p) wrt p.
-39*p**2
Let z(x) be the third derivative of 179*x**7/210 + 34*x**3 + 202*x**2. Differentiate z(d) wrt d.
716*d**3
Let j be (0 + -1)*(3 - 3). Suppose -5*h + 2*r + 42 = 0, 2*h - r = -j*r + 17. Differentiate 4 + 6 - h + k**2 + 6 wrt k.
2*k
Let h(c) = 12*c + 8. Let b(j) = -j. Let z be 9/(-36) + (-50)/(-8). Suppose 3*v - z*v = -3. Let t(o) = v*h(o) + 6*b(o). What is the derivative of t(f) wrt f?
6
What is the third derivative of w**2 + 3*w**2 + 9*w**2 - 45*w**3 + 3 - 45*w**3 wrt w?
-540
Let t(b) = -b + 10. Let r be t(7). Let y be ((-3 - -3 - 2) + 6)/2. What is the first derivative of -2 + 4 - i**2 + 2*i**y + r*i**2 wrt i?
8*i
Let i(s) be the first derivative of 17*s**5/60 - s**4/6 - 4*s**2 + 23. Let u(k) be the second derivative of i(k). Find the second derivative of u(r) wrt r.
34
Let l(y) be the first derivative of 397*y**4/4 + 14*y**3/3 - 3*y**2/2 + 566. Find the third derivative of l(u) wrt u.
2382
Let x(n) = 1. Let h(f) be the first derivative of f**3 - 6*f**2 + 3*f - 3. Let k(o) = -h(o) + 3*x(o). Find the second derivative of k(y) wrt y.
-6
Let h(c) be the second derivative of -17*c**6/15 + c**5/20 - 23*c**4/12 + c - 231. Find the third derivative of h(u) wrt u.
-816*u + 6
Let c(q) be the first derivative of 4*q**5/5 + 25*q**3/3 + 117*q**2/2 - q - 170. What is the second derivative of c(z) wrt z?
48*z**2 + 50
What is the derivative of 0*l**4 - 5*l**4 + 16*l - 42 - 104 + 26 wrt l?
-20*l**3 + 16
Let g(p) = -2*p**3 + p + 1. Let i = 9 + -10. Let u be g(i). Differentiate 5 + l**3 - u*l**3 + l**3 + 4*l**4 with respect to l.
16*l**3
Let z(s) = -25*s**4 + 10*s**2 + 4*s - 679. Let f(x) = 50*x**4 - 21*x**2 - 10*x + 1360. Let j(q) = -2*f(q) - 5*z(q). What is the first derivative of j(i) wrt i?
100*i**3 - 16*i
Let k(n) = -n**2 - 17*n + 6. Let w be k(-17). Suppose -w + 4 = -q. What is the third derivative of -4*x**2 + 15*x**2 - 15*x**4 - 5*x**q wrt x?
-360*x
Differentiate 15*j**4 + 9*j**3 - 14*j**4 - 14*j**3 + 221 + 57*j + 5*j**3 wrt j.
4*j**3 + 57
Let x(w) = 2*w**3 + w - 12. Suppose -4*o + 2 = -2. Let i(c) = c**3 - c. Let s(v) = o*x(v) + i(v). Differentiate s(n) wrt n.
9*n**2
Let p(h) be the third derivative of 0*h**7 + 0*h**3 + 0*h**4 + 0*h - 1/16*h**8 + 0 + 0*h**6 + 4/15*h**5 - 10*h**2. What is the third derivative of p(d) wrt d?
-1260*d**2
What is the third derivative of 38*l**3 + 37*l**3 - 297*l**2 + 58*l**3 - 2768 + 2768 wrt l?
798
Suppose 4*z + 4*z - 56 = 0. Differentiate -9 - 5*d - z*d - 10 with respect to d.
-12
Let f(p) = 1 - 3 - p - p**2 + 1. Let y(n) = 7*n**3 - n**2 + 13*n - 1. Let z(g) = -f(g) + y(g). Find the second derivative of z(a) wrt a.
42*a
Let t(w) be the second derivative of -131*w**7/42 + w**4/12 - 79*w**2/2 - 248*w. Find the third derivative of t(h) wrt h.
-7860*h**2
Suppose -2*t - 5*q = -2 + 7, t + 7 = -4*q. Let d = 1 - -1. What is the third derivative of 12*f**2 - t*f**4 - d + 1 + 1 wrt f?
-120*f
Suppose 4*b = b - 15. Let h be 1 - -1 - (b + 4). Find the first derivative of -8 + h*m**4 + 4*m**4 + 6 wrt m.
28*m**3
Let u(z) be the second derivative of -7/3*z**3 + 0*z**2 - 10*z + 0 + 1/4*z**5 + 0*z**4. What is the second derivative of u(m) wrt m?
30*m
Let p = -49 + 51. What is the derivative of -57*g**2 + 30*g**p + 37*g**2 - 6 wrt g?
20*g
Let b(p) be the third derivative of p**8/4032 + p**6/720 - p**5/5 - 11*p**2. Let d(k) be the third derivative of b(k). Differentiate d(u) wrt u.
10*u
Find the second derivative of -13*x + 89*x**4 - 10*x**4 + 8 - 6 wrt x.
948*x**2
Let p(y) = -y**3 + y**2 + 2*y - 1. Let z(g) = -171*g**3 + 4*g**2 + 8*g + 170. Let o(t) = -4*p(t) + z(t). Differentiate o(k) with respect to k.
-501*k**2
Let z(x) be the first derivative of -x**6/2 - 25*x**4/4 - 2*x**3/3 + 3*x + 42. What is the third derivative of z(h) wrt h?
-180*h**2 - 150
Let x(r) = 7*r + 30. Let p(z) = 2. Let w(m) = p(m) + x(m). What is the first derivative of w(f) wrt f?
7
Suppose w + 13 = -4*j, 0 = w - 2*j - j - 8. Let m(i) = i**2 - 2*i - 1. Let o be m(w). Find the second derivative of 7*g + 3*g**4 - 4*g**2 - 8*g + 4*g**o wrt g.
36*g**2
Let f(s) = -61*s**2 - 103*s - 3. Let p(g) = -306*g**2 - 516*g - 16. Let j(m) = 16*f(m) - 3*p(m). Find the second derivative of j(y) wrt y.
-116
Let m(l) = 103*l**2 - l - 63. Let x(w) = -308*w**2 + 3*w + 189. Let d(p) = -11*m(p) - 4*x(p). Find the second derivative of d(z) wrt z.
198
What is the third derivative of -304*r**5 - 62*r**5 - 580*r**2 - 47*r**5 + 993*r**2 wrt r?
-24780*r**2
Let v(s) be the first derivative of 0*s**2 + 17/5*s**5 + 23/3*s**3 + 0*s**4 + 0*s - 20. Find the third derivative of v(a) wrt a.
408*a
Suppose -n - 2*n = -9. What is the second derivative of -194 + 194 + 11*j + 11*j**n wrt j?
66*j
Find the second derivative of 4*a - 87*a**3 - 2*a**2 + 26 - 8 - 14 wrt a.
-522*a - 4
Let u(a) be the first derivative of 120*a**4 + 299*a + 716. Differentiate u(x) with respect to x.
1440*x**2
Let a(n) be the second derivative of 0*n**2 - 1/8*n**8 + 0*n**5 + 0*n**6 - 5*n + 0*n**7 + 0*n**3 - 5/6*n**4 + 0. Find the third derivative of a(q) wrt q.
-840*q**3
Let n(o) be the second derivative of 95*o**7/21 + 91*o**3/3 + 16*o + 2. What is the second derivative of n(q) wrt q?
3800*q**3
What is the first derivative of -39*f**2 + 57*f**2 - 3*f + 15 - 7*f**2 wrt f?
22*f - 3
Let n be (4 - (1 + 2))*5. Find the second derivative of 2*s - 5*s**5 - 5*s + 5*s - 8*s**n wrt s.
-260*s**3
Suppose d = 10 - 7. Differentiate -d*n - 17*n - 32 - 31*n**2 + 20*n wrt n.
-62*n
Let g(n) = -788*n**2 + 11*n - 864. Let k(z) = -263*z**2 + 4*z - 287. Let a(p) = 4*g(p) - 11*k(p). Find the first derivative of a(f) wrt f.
-518*f
Let t(g) = -252*g**3 + 980*g - 56. Let r(s) = 23*s**3 - 89*s + 5. Let y(f) = 56*r(f) + 5*t(f). Find the second derivative of y(w) wrt w.
168*w
Suppose -u + 4*a + 18 = a, 2 = -u - a. Let l(k) be the third derivative of 13*k**2 + 13/6*k**u + 1/8*k**4 + 0 + 0*k. What is the derivative of l(q) wrt q?
3
Suppose -10*k + 15*k = 20. Find the second derivative of -k*g**4 - 20*g + 3*g**4 - 9*g**4 + 7*g wrt g.
-120*g**2
Let w(b) = 45*b + 267. Let g(u) = -12*u - 67. Let s(j) = 9*g(j) + 2*w(j). What is the derivative of s(m) wrt m?
-18
Let g = 158 - 154. Let m(v) be the first derivative of -2*v - g + 3/2*v**2. What is the derivative of m(i) wrt i?
3
Let x(t) be the third derivative of 383*t**8/336 + 119*t**5/20 + 22*t**2 - 7. Find the third derivative of x(f) wrt f.
22980*f**2
Let h(y) be the first derivative of 2*y**3/3 - 31*y**2/2 + 35*y - 89. Find the first derivative of h(m) wrt m.
4*m - 31
Suppose 0 = -24*p + 67 + 5. Let t(m) be the first derivative of 3*m + 1 + 0*m**2 + 2/3*m**p. Find the first derivative of t(y) wrt y.
4*y
Differentiate 0*x**2 - 96 - 4*x - 92 + 50 - 38*x**2 + x wrt x.
-76*x - 3
Let o = -24 - -45. Suppose 2*r + 3*k - o = 0, k - 5 = -r + 4. Find the first derivative of r - 6 - 2*j**3 + 5 wrt j.
-6*j**2
Let y be (-63)/14*2/(-3). Let v = 24 + -23. Differentiate 7*n**4 + 0*n**2 - v - y*n**4 + 0*n**2 with respect to n.
16*n**3
Let z(d) = d**3 + 10*d**2 - 23*d + 14. Let f be z(-12). What is the second derivative of 39*v**f + 0*v**3 - 59*v**2 - 6 + v - v**3 wrt v?
-6*v - 40
What is the derivative of 17*k + 6*k + 98*k + 12*k - 74 wrt k?
133
Let d = -9 + 15. Let h be ((-141)/6)/(2/(-4)). Find the third derivative of -s**4 - 7*s**2 + h*s**6 + s**4 - 50*s**d wrt s.
-360*s**3
Let w = 14 - 21. Let j = w + 11. Find the third derivative of 14 + 4*c**2 - 4*c**j - 14 wrt c.
-96*c
Let g(j) be the third derivative of 0*j + 3/10*j**5 + 0 + 12*j**2 + 0*j**4 + 0*j**3 + 1/8*j**6. What is the third derivative of g(c) wrt c?
90
Find the third derivative of 2*r - 236 - 148*r**5 - 2*r - 9*r**2 + 238 wrt r.
-8880*r**2
Let x be (-2)/(-8) + 11/(-44). Let s be (4 - x) + (-2)/1. Find the third derivative of -u**2 + 3*u**4 + s*u**4 - u**2 wrt u.
120*u
Find the second derivative of -20221*m + 467*m**5 + 9700*m + 10011*m wrt m.
9340