- 1. What is the derivative of n(v) wrt v?
-36*v**3 + 4*v
What is the second derivative of 84*m + 511*m**3 + 99*m - 50*m + 82*m + 2 - 42*m wrt m?
3066*m
Let i(z) be the first derivative of -8/3*z**3 + 0*z**4 + 0*z + 0*z**5 - 13 + 0*z**2 + 4/3*z**6. Find the third derivative of i(t) wrt t.
480*t**2
Let r(t) = 2*t**5 - 47*t**3 - 80*t. Let o(s) = s**5. Let l(z) = -3*o(z) + r(z). Find the second derivative of l(b) wrt b.
-20*b**3 - 282*b
Find the second derivative of -9*j**2 + 6*j - 13*j**2 + 0*j**2 - 8*j**2 + 1 - 7*j wrt j.
-60
Let j(k) = 2*k**4 - 8*k**3 - 10*k**2 - 3*k. Let s(h) = h**4 - h**3 - h**2 + h. Let l(c) = -j(c) - 3*s(c). Find the third derivative of l(n) wrt n.
-120*n + 66
Let o(x) = x**2 - 3*x + 4. Let g be o(3). Suppose g*a - 27 = -7. Find the third derivative of k**2 + 0*k**a - 4*k + 3*k**5 + 4*k wrt k.
180*k**2
Let n(z) be the third derivative of 1/60*z**5 + 0*z**4 + 0 - z**3 + 0*z + 4*z**2. Differentiate n(j) with respect to j.
2*j
Let s(a) = -71*a - 76. Let d(y) = y - 1. Let l(o) = 3*d(o) + s(o). Let k(v) = 34*v + 39. Let w(c) = 13*k(c) + 6*l(c). What is the derivative of w(u) wrt u?
34
Let p = -122 + 124. Let d(r) be the second derivative of 0*r**p + 0 + 0*r**4 - 2*r + 1/15*r**6 + 0*r**5 - 7/6*r**3. Find the second derivative of d(l) wrt l.
24*l**2
Let r be (228/(-48))/((-1)/(-4)). Let t = 22 + r. Find the second derivative of -10*j**5 + t*j**5 + 8*j**5 + 5*j + 2*j**5 wrt j.
60*j**3
Let f(q) be the second derivative of -q**5/20 + 7*q**4/6 + q**3/3 + 28*q**2 + 7*q - 4. What is the second derivative of f(w) wrt w?
-6*w + 28
Let b(a) = 606*a**3 + 22*a**2 - 182*a - 10. Let z(r) = -304*r**3 - 12*r**2 + 92*r + 5. Let u(n) = -6*b(n) - 11*z(n). Find the second derivative of u(x) wrt x.
-1752*x
Let s = 38 + -35. Find the second derivative of 15*m + 0*m - m + 9*m - 7*m**s wrt m.
-42*m
Let z(f) be the first derivative of 197*f**3/3 - 267*f**2 - 289. Find the second derivative of z(v) wrt v.
394
Suppose 3*f + 4*w = 52 + 6, -2*w - 6 = -f. Find the second derivative of 8*d**5 + d**2 - 17*d**5 + f*d - d**2 wrt d.
-180*d**3
Let c(w) be the first derivative of -7*w**5/5 - 3*w**2/2 - 3*w + 405. What is the derivative of c(i) wrt i?
-28*i**3 - 3
Let l(j) be the second derivative of 0*j**4 - 2*j**2 + 7*j + 0*j**3 + 0*j**5 + 11/30*j**6 + 0. Differentiate l(v) with respect to v.
44*v**3
Let r(p) = 41*p**3 - 2*p**2 + 12*p + 139. Let m(u) = -u**3 - 2*u. Let o(n) = -6*m(n) - r(n). What is the first derivative of o(b) wrt b?
-105*b**2 + 4*b
Let m(o) be the first derivative of 849*o**5/5 - 293*o**2 + 435. What is the second derivative of m(q) wrt q?
10188*q**2
Suppose -6 = -3*q - 5*v, 4*q - 4*v + 21 = 29. Let u(g) be the second derivative of -9*g - 1/2*g**q + 5/6*g**3 + 0. Differentiate u(d) with respect to d.
5
Let u(w) = -6*w**2 + 5*w + 2 - 2*w**2 + 4*w - w**3 + 1. Let k be u(-9). Find the third derivative of 8*l**k + 9*l**2 + 29 - 29 wrt l.
48
Let l(z) = 271*z + 231. Let q(i) = 271*i + 230. Let y(p) = 3*l(p) - 2*q(p). Differentiate y(x) wrt x.
271
Let l(u) = -2*u + 9*u**2 + 14*u - 3 + 9. Let h(g) = g + 1. Let m = -4 - -3. Let f(c) = m*l(c) + 12*h(c). What is the derivative of f(t) wrt t?
-18*t
Let v be ((-25)/(-5) - 13)/(-2). What is the first derivative of -557 + 11*f**2 + v*f**2 + 555 wrt f?
30*f
Let g = 4 - 14. Let r be ((-36)/30)/(3/g). Find the third derivative of -r*n**6 + 2 + 6*n**2 - 4*n**6 - 2 wrt n.
-960*n**3
Let f = 269 - 8. Find the third derivative of -f - 24*m**5 + 261 - 7*m**2 wrt m.
-1440*m**2
Let x(s) = 202*s**3 - 7*s**2 - 66*s + 7. Let n(d) = 67*d**3 - 2*d**2 - 22*d + 2. Let g(r) = -7*n(r) + 2*x(r). What is the second derivative of g(y) wrt y?
-390*y
Let v(c) be the first derivative of 0*c**4 + 1 + 0*c**3 + 5/2*c**6 + 3/2*c**2 + 0*c**5 + 0*c. What is the second derivative of v(q) wrt q?
300*q**3
Let q(n) = 673*n + 1795. Let j(w) = -169*w - 449. Let d(v) = 9*j(v) + 2*q(v). Differentiate d(u) with respect to u.
-175
Let a be 19/3 - (6 + (-85)/15). What is the second derivative of -a*p**3 + 29*p + 6*p**3 - 56*p**5 + 0*p**3 wrt p?
-1120*p**3
Let j(f) be the second derivative of 0 + 18*f + 23/20*f**5 + 0*f**2 + 23/12*f**4 + 0*f**3. What is the third derivative of j(w) wrt w?
138
Let o(f) be the first derivative of -2*f**6/3 - 104*f**5/5 - 68*f**3/3 - 2*f + 433. What is the third derivative of o(i) wrt i?
-240*i**2 - 2496*i
Differentiate -95*o + 40*o + 23 + 106 - 60*o - 218*o with respect to o.
-333
Suppose 4*z - 3*z = -5*p + 17, p + 8 = -4*z. Let f be (-2)/(-6) + (-11)/z. Differentiate -3*w**3 + 2 - 1 + 2*w**3 + f with respect to w.
-3*w**2
Let x(c) be the second derivative of 17*c**8/8 - c**5/20 + c**4/12 - 23*c**3/6 - 101*c. What is the third derivative of x(h) wrt h?
14280*h**3 - 6
Let i be (-1494)/(-78) + 4/(-26). Find the third derivative of 20*c**2 + 7*c**6 + i*c**2 - 33*c**2 wrt c.
840*c**3
Let d(q) = -q + 3. Suppose -g = 3*y + 8, -5*y + 5*g = -0*g + 20. Let s be d(y). Find the third derivative of 3*c**2 - 2*c + 4*c**6 + 2*c - c**s wrt c.
360*c**3
Find the first derivative of -343*r - 26 - 88*r + 198 + 33*r wrt r.
-398
Let f(k) = 39*k**3 - 4*k**2 + 5*k. Let r(w) = 8*w + 39*w**3 + 4*w + 2*w - 10*w - 4*w**2. Let m(t) = 4*f(t) - 5*r(t). Find the third derivative of m(z) wrt z.
-234
Suppose -2*c + 3 = -5*l, -c - 3 + 9 = 2*l. What is the derivative of 33 - 13 + c*v + 13*v wrt v?
17
Let i(z) = -6*z + 40. Let s be i(6). What is the first derivative of -308*a - 1 + s*a**4 + 16 + 309*a + 3 wrt a?
16*a**3 + 1
Differentiate -5*p + 3*p + 356 + 383*p**2 - 173*p**2 with respect to p.
420*p - 2
Let f = -40 - -25. Let h = f + 21. What is the second derivative of -2*k - 4*k - 2*k + h*k**3 wrt k?
36*k
Let z be 1*(-2 + 1) - 37/(-37). Let y(f) be the first derivative of 5/4*f**4 - 5/2*f**2 + z*f**3 + 1 + 0*f. Find the second derivative of y(p) wrt p.
30*p
Let f(w) be the first derivative of w**3/3 - 43*w**2 - 323*w + 157. Find the first derivative of f(a) wrt a.
2*a - 86
Find the second derivative of 0*g - 131*g**3 - 8*g - 2*g - 11 + 13*g wrt g.
-786*g
Let y be (-15)/(1/((-6)/9)). What is the third derivative of -5*f**2 - 12*f**5 - 5*f + y*f - 5*f wrt f?
-720*f**2
Let v(s) = -86*s**4 - 5*s**2 + 2*s. Let b(w) = -171*w**4 - 11*w**2 + 4*w. Let q(r) = -3*b(r) + 5*v(r). Find the third derivative of q(n) wrt n.
1992*n
Let n(m) be the third derivative of -13*m**8/336 - 3*m**4/4 + 129*m**2. What is the second derivative of n(u) wrt u?
-260*u**3
Let l(c) = c**6 - c**4 - c**3 + 2*c + 1. Let x(b) = -2*b**4 + 99*b**3 + 6*b**2 + 6*b + 2. Let p(h) = -2*l(h) + x(h). What is the third derivative of p(u) wrt u?
-240*u**3 + 606
Find the third derivative of -25*v**4 - 102*v**5 + 11*v**2 - 134*v**2 + 55*v**4 - 30*v**4 wrt v.
-6120*v**2
Let x(o) be the second derivative of o**4/6 + o**3/2 - 2*o. Let z be x(-2). What is the third derivative of -2*q**z + 5*q**2 + 4*q**6 - 2*q**6 - 7*q**6 wrt q?
-600*q**3
Let k(m) = 91*m**3 + 5*m**2 + 78*m + 5. Let v(b) = 91*b**3 + 4*b**2 + 77*b + 4. Let f(w) = 4*k(w) - 5*v(w). What is the second derivative of f(l) wrt l?
-546*l
Let o(y) be the third derivative of y**7/35 + 5*y**4/12 + 87*y**3/2 + 166*y**2 - 1. Find the first derivative of o(m) wrt m.
24*m**3 + 10
Let t(w) = -7*w**4 + 3*w**2 - 12*w + 3. Let v(f) = f**2 + 1. Let x = 14 + -15. Let g(o) = x*t(o) + 3*v(o). What is the second derivative of g(n) wrt n?
84*n**2
Let l(d) = 101 + 56*d - 76 - 10*d. Let n(c) = 69*c + 37. Let w(p) = 7*l(p) - 5*n(p). What is the first derivative of w(a) wrt a?
-23
Let a = -71 + 76. Let o(m) = -5*m**2 - 3*m - 7. Let y(i) = -10*i**2 - 5*i - 15. Let b(l) = a*o(l) - 3*y(l). Differentiate b(v) wrt v.
10*v
Let p(n) be the first derivative of 13*n**5/5 + 2*n**3 - 466*n + 197. What is the derivative of p(s) wrt s?
52*s**3 + 12*s
Suppose -4*t + 8 = 5*z, -2*t - 2*z = -4*z - 4. Find the third derivative of -d**2 + 5 - 2 - 12*d**3 - 6*d**2 - d**t - 2*d**5 wrt d.
-120*d**2 - 72
Find the third derivative of -x**3 + 44*x**2 - 2 + 4*x**2 - 16*x**2 + 8*x**2 - 240*x**4 wrt x.
-5760*x - 6
Let w(m) be the third derivative of 14*m**2 - 31/6*m**3 + 41/24*m**4 + 0 + 0*m. Differentiate w(d) with respect to d.
41
Let n(w) be the first derivative of -2*w**7/35 + 3*w**4/8 - 4*w**2 - 5. Let t(h) be the second derivative of n(h). What is the second derivative of t(l) wrt l?
-144