et q(n) be the second derivative of 1/20*n**5 - 5/6*n**p + 0 - 6*n + 0*n**2 + 0*n**4. What is the second derivative of q(d) wrt d?
6*d
Let y(s) be the first derivative of -655*s**3/3 + 51*s**2/2 - 4*s + 478. Find the second derivative of y(l) wrt l.
-1310
Let l(q) = 8*q**3 - 2*q**2 - 64*q + 2. Let p(g) = 17*g**3 - 5*g**2 - 128*g + 5. Let w(m) = -5*l(m) + 2*p(m). Find the second derivative of w(n) wrt n.
-36*n
What is the second derivative of -16*p**4 - 2*p**2 - 4*p - p + 7*p wrt p?
-192*p**2 - 4
Let x(a) = -1 + 1 - 4*a + 3*a. Let z(n) = -7*n**3 - 12*n. Let g(q) = -2*x(q) + z(q). Find the second derivative of g(m) wrt m.
-42*m
Let c(x) be the third derivative of -263*x**4/24 + 148*x**3/3 - 28*x**2 + 1. Find the first derivative of c(k) wrt k.
-263
Let v(z) be the third derivative of 41*z**7/210 + 117*z**3/2 - 2*z**2 + 243. Differentiate v(l) wrt l.
164*l**3
Find the second derivative of 1260*a**4 - 13*a - 1260*a**4 + 1 - 84*a**5 wrt a.
-1680*a**3
Let g(k) = -k**4 + k**2. Let r(i) = 23*i**4 + 34*i**2. Let c(z) = g(z) + r(z). What is the third derivative of c(p) wrt p?
528*p
Differentiate -619*a + 311*a + 23*a**3 - 68 + 308*a wrt a.
69*a**2
Let f = 99 + -96. What is the second derivative of -6*a - a**4 + 15*a**4 + 4*a**4 - f*a wrt a?
216*a**2
Suppose 36 = 12*l - 36. What is the second derivative of l*g - 31*g**2 + 8*g - 4*g wrt g?
-62
Let g = 36 + -34. Differentiate 17*t**2 + g - 67*t + 67*t with respect to t.
34*t
Let d(q) = 3*q**3 - 7*q**2 - 27*q - 207. Let f(r) = 2*r**3 - 4*r**2 - 13*r - 104. Let t(x) = 4*d(x) - 7*f(x). Differentiate t(u) wrt u.
-6*u**2 - 17
Let a(l) = 110*l**4 + 3*l**2 + 8*l + 15. Let h(u) = -u**4 - u**2 - 2*u + 1. Let j(b) = -2*a(b) - 6*h(b). What is the second derivative of j(o) wrt o?
-2568*o**2
Find the second derivative of -82*u**2 + 13*u - 19*u**2 + 226*u**2 + 30 - 14*u wrt u.
250
Let k(o) be the second derivative of 1/4*o**5 + 9/2*o**2 + 0 - 8*o + 0*o**4 + 0*o**3. Differentiate k(x) with respect to x.
15*x**2
Let z be -2 + (2 - 0) + 16. Suppose -196 = -37*x + 30*x. Find the third derivative of -12*h + 10*h**4 + x*h - z*h + 6*h**2 wrt h.
240*h
Let k(z) be the third derivative of -4*z**5/5 + z**4/24 - 7*z**3 + 20*z**2. What is the first derivative of k(w) wrt w?
-96*w + 1
Suppose -656 + 116 = -12*n. What is the first derivative of -14*t**3 - n - 10*t**3 - 3*t**3 wrt t?
-81*t**2
Let r(i) be the third derivative of -7*i**4/3 + 5*i**3 - 12*i**2 - 1. What is the first derivative of r(l) wrt l?
-56
Let d be -8 + 6 - 16/(-4). What is the derivative of 0*t + 3*t + d*t + 8 wrt t?
5
Let i = -17 + 2. Let v = 17 + i. What is the third derivative of 13*s**2 - 2*s**3 + 2*s**3 - 6*s**v + 2*s**3 wrt s?
12
Let y(z) be the third derivative of 11*z**9/72 - 19*z**5/30 - 11*z**2. What is the third derivative of y(m) wrt m?
9240*m**3
Let a(k) be the third derivative of 209*k**4/24 - 191*k**3/6 + 11*k**2 + 4. Differentiate a(y) wrt y.
209
Let x be 7/(-1) - (-27)/3. Let h(t) be the first derivative of -7 + 0*t**x + 5/3*t**3 - 5*t. Find the first derivative of h(l) wrt l.
10*l
Let h be (9/(-5)*(-20)/(-6))/(-3). Let v(s) be the second derivative of -s**3 + 3/2*s**h - s + 0. Differentiate v(a) wrt a.
-6
Find the third derivative of -80 + 834*t**4 - 64 - 398*t**2 + 142 wrt t.
20016*t
Let z(k) = k**4 + k**3 + k**2 + k + 1. Let l(m) = -29*m**4 - 6*m**3 - 6*m**2 + 7*m - 6. Let q(i) = l(i) + 6*z(i). Find the second derivative of q(g) wrt g.
-276*g**2
Let s(n) be the second derivative of 41*n**5/4 + n**3/6 - 19*n**2 + n - 34. Differentiate s(t) with respect to t.
615*t**2 + 1
Let z(u) be the first derivative of -u**5/5 + 5*u**4/4 - 164*u**3/3 + 284. Find the third derivative of z(s) wrt s.
-24*s + 30
Let o(c) be the second derivative of 9*c**4/2 + 29*c**3/3 - 149*c. What is the second derivative of o(f) wrt f?
108
Let l(c) be the third derivative of c**5/10 - c**4/6 + 8*c**2. Let w(s) = -2*s**2 + s. Let x(q) = -2*l(q) - 7*w(q). What is the second derivative of x(n) wrt n?
4
Let s(d) = 1 - 9*d**4 - 11 - 4*d - 4*d**3 - 6. Let v(n) = -8*n**4 - 3*n**3 - 3*n - 15. Let u(f) = 3*s(f) - 4*v(f). Differentiate u(h) with respect to h.
20*h**3
Let g(m) be the first derivative of -17*m**8/336 - m**4/2 + 8*m**2 + 15. Let i(a) be the second derivative of g(a). What is the second derivative of i(r) wrt r?
-340*r**3
Let z(u) = u**3 + 3*u**2 - 5*u - 8. Let m(k) = -1. Let o(n) = 2*m(n) - z(n). Let l be o(-4). What is the first derivative of 0 + 1 - i**4 - l*i**4 - 7 wrt i?
-12*i**3
Find the first derivative of -2*h**3 + 8*h**4 + 74 - 12*h**4 + h**4 - 14 wrt h.
-12*h**3 - 6*h**2
Suppose -3*c - 8 + 11 = 0. Differentiate 9*p + 5*p + c + 4*p + 8*p wrt p.
26
What is the second derivative of 4 - 16*b**5 - 219*b - 4 + 90*b**4 + 0 - 88*b**4 wrt b?
-320*b**3 + 24*b**2
Find the second derivative of 10*v**2 - 169*v**2 + v - 180*v**2 + 102*v**2 - 5 - 65*v**2 wrt v.
-604
Let c = -14 + 18. Suppose 0 = -4*o - c*m, -o + 18 = 3*o - 2*m. Differentiate 15*b**2 - 9*b**2 - 1 - o with respect to b.
12*b
Let q(z) = -88*z - 31. Let g(o) = 85*o + 32. Let i(r) = 5*g(r) + 4*q(r). What is the derivative of i(v) wrt v?
73
Let n be -4*(-3 - 25/(-10)). Differentiate -345 + 0*s**2 + 352 + s**n wrt s.
2*s
Let t(o) be the first derivative of -11/3*o**3 - 1 + 6*o + 0*o**2. Find the first derivative of t(b) wrt b.
-22*b
What is the third derivative of 46*f**6 + 117*f**6 + 92*f**6 + 127*f**2 - 124*f**6 wrt f?
15720*f**3
Let o(h) be the first derivative of -h**6/6 - 68*h**3/3 + 24*h**2 - 2*h + 192. What is the second derivative of o(d) wrt d?
-20*d**3 - 136
Let z(p) = -9*p**2 - 11*p + 6. Let f(s) be the third derivative of -s**3/6 - 2*s**2. Let x(r) = -6*f(r) - z(r). Find the second derivative of x(q) wrt q.
18
Suppose -q = -5*q. Suppose -3*w + 2*i + 16 = -q*i, 0 = -2*i + 2. What is the second derivative of 0*k - k - k**3 - w*k**3 - 5*k wrt k?
-42*k
Let q(h) = -8*h - 8. Let s(f) = f - 1. Suppose -l - 5*l - 6 = 0. Let o(v) = l*q(v) - 2*s(v). What is the derivative of o(m) wrt m?
6
Let l(b) be the second derivative of 17*b**6/360 + b**4/4 - 17*b**3/6 - 15*b. Let x(n) be the second derivative of l(n). Differentiate x(y) with respect to y.
34*y
Let f(s) be the first derivative of s**3/3 - s**2/2 + s - 1. Let h(d) = 3*d**2 - 2*d + 1. Let n(v) = 4*f(v) - 2*h(v). Differentiate n(g) wrt g.
-4*g
Let m = -51 - -82. Find the first derivative of 30 - 9*n**4 + m - 28 wrt n.
-36*n**3
Let g(n) be the first derivative of -2*n**5 - 83 + 3*n**5 + 111 + n**2 - 43*n. Find the first derivative of g(l) wrt l.
20*l**3 + 2
Suppose -2*s = -6*s. Suppose 3*j + 3*u + u + 3 = s, -2*u = -3*j + 15. Differentiate 1 + 1 - 3 + j*b with respect to b.
3
Let y(z) be the first derivative of -z**4/4 + 22*z**3/3 + z**2/2 + 6*z + 213. What is the second derivative of y(x) wrt x?
-6*x + 44
Let l(y) be the first derivative of 77*y**6/6 + 2*y**5/5 + 2*y**3/3 - 75*y**2/2 + 82. Find the third derivative of l(a) wrt a.
4620*a**2 + 48*a
Let i(y) = -y - 3. Let c be i(-8). Let u = 8 - c. Find the first derivative of 2 + 1 - v**u + 5*v**3 - 1 wrt v.
12*v**2
Differentiate -227*x**3 + 5 + 4 + 9 wrt x.
-681*x**2
Suppose 5*r - 108 + 23 = 0. What is the third derivative of -l**2 + 19*l**2 + 8*l**2 - r*l**4 wrt l?
-408*l
Let m(c) be the second derivative of -133*c**3/3 + 140*c**2 - 19*c - 2. What is the derivative of m(t) wrt t?
-266
Let l(o) be the second derivative of -o**6/30 - o**5/4 - 21*o**3 - o - 50. What is the second derivative of l(i) wrt i?
-12*i**2 - 30*i
Differentiate 208*b**2 + 162 + 26*b**2 + 109*b**2 + 364 - 2*b**3 with respect to b.
-6*b**2 + 686*b
What is the third derivative of 94*n**2 + 540*n**4 + 320*n**2 + 480*n**4 - 80*n**2 wrt n?
24480*n
Let x(r) be the second derivative of 0*r**5 + 0 + 0*r**2 + 3/5*r**6 + 3/2*r**4 + 0*r**3 - 18*r. Find the third derivative of x(o) wrt o.
432*o
Let l(d) = 16*d**4 + 2*d**3 - 19*d - 208. Let g(h) = -h**4 - h**3 - 3*h + 1. Let r(z) = 2*g(z) + l(z). Differentiate r(j) with respect to j.
56*j**3 - 25
Find the third derivative of -p + 559*p**6 - 121*p**2 + p - 4*p**2 - 418*p**6 wrt p.
16920*p**3
Suppose 2*w = 3*w. Let a(y) be the third derivative of w*y + 0*y**4 + 0*y**3 + 1/24*y**6 + 0 - 1/20*y**5 + y**2. Find the third derivative of a(k) wrt k.
30
Let d(i) = 2*i - 1. Let j(o) = o + 1. Let g be j(0). Let l 