. What is the first derivative of m(p) wrt p?
-60*p**2 - 1
Suppose -3*m - 3*m + 36 = 0. Find the third derivative of 772*j**5 + 4*j**2 - 772*j**5 + 15*j**m + 4*j**2 wrt j.
1800*j**3
Let p(h) = 24*h**3 + 31*h**2 - 6. Let y(d) = -9*d**2 - 22*d**2 - 5 - 23*d**3 + 12. Let n(c) = 7*p(c) + 6*y(c). What is the third derivative of n(b) wrt b?
180
Let a(u) = 120*u**2 - 12*u - 7. Let p(h) = -237*h**2 + 24*h + 15. Let y(n) = -5*a(n) - 2*p(n). What is the second derivative of y(t) wrt t?
-252
Let b(u) = u**2 - 1. Let r(y) = 11*y**4 + 2*y**2 + 160*y - 3. Let v(o) = 2*b(o) - r(o). What is the second derivative of v(k) wrt k?
-132*k**2
Let o(j) be the second derivative of -5*j**8/1344 + 5*j**5/24 - j**4/6 + j. Let u(p) be the third derivative of o(p). What is the derivative of u(y) wrt y?
-75*y**2
Let w(n) be the first derivative of 253*n**4/4 + 3*n**3 - 10*n**2 - 158. What is the third derivative of w(x) wrt x?
1518
Let b(d) be the second derivative of -17*d**4/3 + 2*d**3 - 3*d**2 - 202*d. What is the second derivative of b(z) wrt z?
-136
Let h be (-1)/5 - (-492)/60. Differentiate h*s - 3*s - 45 + 6*s**2 + 0*s**2 - s**2 with respect to s.
10*s + 5
Let d(b) be the third derivative of -67*b**6/15 + b**5/30 - 38*b**3/3 - 3*b**2 + 32. Find the third derivative of d(o) wrt o.
-3216
Let o(j) = -5*j**4 + 65*j**3 - 19*j**2 - 6*j + 6. Let b(x) = x**4 - x**2 + x - 1. Let s(w) = -6*b(w) - o(w). What is the third derivative of s(v) wrt v?
-24*v - 390
Let d(p) be the first derivative of 9 + 0*p**3 - 1/2*p**6 + 5/2*p**2 + 0*p**4 + 0*p**5 + 0*p. Find the second derivative of d(m) wrt m.
-60*m**3
Let a(x) = -848*x**4 - 3*x**3 - 6*x**2 + 822*x. Let l(y) = 2*y**4 - y**3 - 2*y**2 + y. Let k(z) = -a(z) + 3*l(z). Find the second derivative of k(h) wrt h.
10248*h**2
Find the second derivative of -149*s**5 - 114*s + 7*s + 610*s**5 wrt s.
9220*s**3
Let n(r) = -r**3 - 19*r**2 - 18*r + 3. Let s be n(-18). Find the first derivative of 47 + 3*z - s*z + 29*z**2 + 19*z**2 wrt z.
96*z
Let w(j) be the third derivative of 941*j**6/120 + 767*j**5/60 - 5*j**2 + 10. What is the third derivative of w(k) wrt k?
5646
Let c(v) = 2*v**2 - 3*v + 3. Let d be c(2). What is the third derivative of 2*z**2 - d*z**3 - 8*z**2 - 4*z**2 wrt z?
-30
Let p = -24 - -16. Let t(o) = -o**3 - 8*o**2 - 2*o - 12. Let z be t(p). Find the first derivative of 2*v - z + 8 - 3 wrt v.
2
Let y(w) = 135*w + 320. Let i(g) = -404*g - 963. Let u(o) = 2*i(o) + 7*y(o). Differentiate u(f) with respect to f.
137
Let g(t) = t**3 - 7*t**2 + 5*t + 1. Let a be g(6). Let q = 11 + a. Differentiate -q + 114*r**2 + 11*r**4 - 114*r**2 with respect to r.
44*r**3
Let d be (-3 - (-12)/4) + -1. Let k be d + 1 + 4 - 1. Find the second derivative of u**3 - 4*u**3 - 7*u + 5*u**k - 3*u**3 wrt u.
-6*u
Let f(r) be the third derivative of 0*r**7 + 18*r**2 + 1/3*r**4 + 0*r**6 + 1/48*r**8 + 0*r**3 + 0*r + 0 + 0*r**5. What is the second derivative of f(p) wrt p?
140*p**3
Let c(t) = -7*t - 10. Let f be c(-4). Suppose 2*p - 5*p = -f. Find the second derivative of -p + 6 - 2*z**4 - 4*z**4 - 3*z wrt z.
-72*z**2
Let l(t) be the first derivative of -110*t**3/3 + 35*t**2/2 - 2*t - 105. Find the second derivative of l(m) wrt m.
-220
Let c(f) = 167*f**3 - 118*f**2 + 7*f + 9. Let v(p) = 2*p**3 - p - 1. Let r(i) = -c(i) - 9*v(i). Find the third derivative of r(x) wrt x.
-1110
Let w(a) be the first derivative of -2/3*a**6 + 0*a + 0*a**3 + 0*a**5 + 12 + 0*a**4 + 8*a**2. What is the second derivative of w(g) wrt g?
-80*g**3
Suppose -3*i = -8*i - 165. Let l = i - -64. Find the second derivative of 2*m - 31 - 6*m**5 + 5*m + l wrt m.
-120*m**3
Let w be (-6)/9*(-12)/4. Find the third derivative of -5*o**4 - 33*o**w + 29*o**2 - 9*o**4 wrt o.
-336*o
Let r be (-1)/((6/(-15))/(-2)). Let a(p) = -p**2 - 4*p + 5. Let m be a(r). What is the third derivative of 14*k**2 - k**5 - 12*k**2 + m*k**5 wrt k?
-60*k**2
Let s(t) be the first derivative of 0*t**2 + 5 - 9*t + 8/3*t**3. Differentiate s(z) with respect to z.
16*z
Let i(y) = -y**3 - 11*y**2 + 13*y + 12. Let h be i(-12). Differentiate h - 3 - a**3 + 12 with respect to a.
-3*a**2
Suppose 5*p - 5 = x + 3, 2*p + 4*x - 12 = 0. Suppose -2*u - 31 = -5*h + p*u, 3*h - 5*u = 29. Find the second derivative of z**2 - z - h*z - 4*z + 5*z wrt z.
2
Let k = -10 - -9. Let j(s) = s**3 - 4. Let o(a) = 2*a - 2*a + a**3. Let g(r) = k*j(r) - 3*o(r). What is the first derivative of g(h) wrt h?
-12*h**2
Let c(u) = -u**3 + u**2 - u + 1. Let w be c(1). Suppose l - 2 - 1 = w. What is the third derivative of l*f**2 - 9*f**3 + 7*f**2 + 0*f**3 wrt f?
-54
Let y(v) = 447*v**2 + 17*v - 896. Let w(m) = -149*m**2 - 6*m + 298. Let f(j) = -17*w(j) - 6*y(j). Find the first derivative of f(t) wrt t.
-298*t
Let w(q) be the first derivative of 3*q**4/2 + q**3/3 - 72*q + 22. Differentiate w(n) with respect to n.
18*n**2 + 2*n
Let d(n) be the first derivative of 17*n**7/7 - 110*n**3/3 - 241. What is the third derivative of d(f) wrt f?
2040*f**3
Let n(t) = t**2 - 12*t - 67. Let o be n(16). Let p(j) = -47*j + 31. Let g(s) = -s. Let y(v) = o*g(v) + p(v). What is the first derivative of y(b) wrt b?
-44
Let u(v) be the second derivative of 83*v**7/42 - 53*v**3/6 + 8*v - 4. What is the second derivative of u(x) wrt x?
1660*x**3
Let j(v) be the second derivative of -23*v**6/6 - 173*v**2/2 - 199*v. Differentiate j(o) wrt o.
-460*o**3
Let y(t) = t**3 - t**2. Let n(u) = -71*u**3 + u**2 + 198. Let s(r) = -n(r) - y(r). What is the derivative of s(z) wrt z?
210*z**2
Let j(y) be the first derivative of y**6 + 13*y**3/3 - 103*y**2/2 + 64. What is the second derivative of j(b) wrt b?
120*b**3 + 26
Let b(f) = 2*f**2 - 4*f - 3. Let x be b(-2). What is the third derivative of x*z**3 - 5*z**2 + 44*z**2 + 11*z**3 wrt z?
144
Let i(c) be the second derivative of c**5/5 - 15*c**4/4 - 19*c**3/2 + c - 424. Find the second derivative of i(l) wrt l.
24*l - 90
Let n be (-96)/7 - 4/14. Let r = n + 16. Find the second derivative of -q + 3*q - q**r + q**2 - q**5 wrt q.
-20*q**3
Let g(a) = 227*a**2 + 130*a + 4. Let n(x) = 227*x**2 + 129*x + 3. Let u(d) = -3*g(d) + 4*n(d). Find the second derivative of u(p) wrt p.
454
Let t(s) be the third derivative of -4*s**9/7 + s**5/60 + 97*s**4/24 + 268*s**2. Find the third derivative of t(n) wrt n.
-34560*n**3
Let r(y) = 3*y. Let v(o) = -2*o - 2. Let j be v(-2). Let m be r(j). What is the third derivative of 0*b**6 - 3*b**6 - 3*b**6 - 5*b**2 + 2*b**m wrt b?
-480*b**3
Let v(t) be the second derivative of t**7/15 + t**4 - 31*t**2/2 - 31*t. Let o(g) be the first derivative of v(g). What is the second derivative of o(z) wrt z?
168*z**2
Let z(j) be the second derivative of j**10/2520 - 7*j**6/360 + j**4/2 - 4*j. Let a(y) be the third derivative of z(y). Find the second derivative of a(d) wrt d.
240*d**3
Find the second derivative of -95*u**3 + 3485*u - 3156*u - 2*u**2 + u**2 wrt u.
-570*u - 2
Differentiate 162*g**4 - 45 - 41 - 17 + 32 with respect to g.
648*g**3
Suppose 4 = p, 5*z = -4*p - 0 + 26. Let x be 2*(z/2)/2. What is the second derivative of -a - x - a - a**5 + 1 wrt a?
-20*a**3
What is the second derivative of -4 - 415*y + 4 + 29*y**2 - 31*y**2 - y**3 + 4*y**3 wrt y?
18*y - 4
Let n(w) be the second derivative of -7*w**6/3 + w**4/3 + 3*w**2 + 24*w + 2. Find the third derivative of n(z) wrt z.
-1680*z
Let s(o) be the second derivative of 0 + 0*o**3 + 7/10*o**5 - 17/12*o**4 + 0*o**2 + 8*o. Find the third derivative of s(f) wrt f.
84
Let l(z) = 2*z**3 - 4*z**2 + 13*z + 82. Let f(d) = d**2. Let a(b) = 4*f(b) + l(b). Differentiate a(h) with respect to h.
6*h**2 + 13
Let l be ((-8)/(-6))/((-14)/(-273)). Suppose -3*s + 3 - 13 = -4*p, -5*p - 3*s = -l. Differentiate -14*o**p + 6 + 4 + 4*o**4 with respect to o.
-40*o**3
Find the third derivative of -5*f**4 - 4*f**4 + 0*f**4 - 650*f**2 - 3*f**4 + 4*f**4 + 22*f**3 wrt f.
-192*f + 132
Let b(a) be the second derivative of 0*a**3 - 26*a + 0*a**5 + 0*a**7 + 0 + 23/12*a**4 + 0*a**6 + 1/8*a**8 + 0*a**2. What is the third derivative of b(w) wrt w?
840*w**3
Let l(v) = -v**2 - 11*v + 4. Let d be l(-8). Let u be (-30)/20*d/(-3). Find the third derivative of u*i**4 - 3*i**2 + 3*i**5 - 14*i**4 wrt i.
180*i**2
Let h(i) be the first derivative of 2*i**4 - 2*i**3/3 + 5*i**2/2 - 127. Find the third derivative of h(y) wrt y.
48
Let m(i