*2 - 1/60*w**5 + 0*w**3 + 0*w + 0*w**4 + 11/120*w**6. What is the third derivative of t(g) wrt g?
66
Find the second derivative of -h**3 - 33 - 15*h**2 - 18*h**2 + 10*h**2 + 17*h + 29 wrt h.
-6*h - 46
Let p(d) be the second derivative of 1/8*d**8 - 11/6*d**4 + 0*d**2 + 0*d**7 + 0*d**3 + 0*d**5 + 0 + 22*d + 0*d**6. What is the third derivative of p(s) wrt s?
840*s**3
Let i(f) = -3*f**3 + 5*f**2 + 21*f - 5. Let x(v) = -49*v**2 + 4*v - 3*v - 1 + 50*v**2. Let d(b) = i(b) - 5*x(b). What is the second derivative of d(p) wrt p?
-18*p
Let f(w) = w**2 + 8*w - 8. Let l be f(-6). Let z = -18 - l. Find the third derivative of -r**2 - r**z - 6*r**2 + 4*r**2 + 5*r**5 wrt r.
300*r**2
Let n(c) = -34*c - 85. Let p(k) = -70*k - 171. Let g(d) = -5*n(d) + 2*p(d). Find the first derivative of g(j) wrt j.
30
Find the third derivative of -17*h**3 + 13 - 3*h**3 + 159*h**4 - 8*h**2 - 2*h**6 - 159*h**4 wrt h.
-240*h**3 - 120
Let g(h) = 60*h**4 - 4*h**3 + 4*h**2 - 8*h + 123. Let j(t) = -2*t**4 - t**3 + t**2 - 2*t - 1. Let w(r) = g(r) - 4*j(r). Differentiate w(q) with respect to q.
272*q**3
Let s = -49 + 71. Find the first derivative of 5 + 18*j**3 + 10 - s*j**3 wrt j.
-12*j**2
Let l(r) = 43*r**4 - r**3 - 5*r**2 + 161. Let o(x) = -64*x**4 + x**3 + 7*x**2 - 242. Let y(b) = 7*l(b) + 5*o(b). Find the first derivative of y(h) wrt h.
-76*h**3 - 6*h**2
Suppose -2*z - 2*y + 12 = 0, -4*z + 0*y + 5*y = 12. Find the first derivative of -2*n - 7 + z + 0 wrt n.
-2
Let k be 6/(-5)*(-5)/2. Let l(y) be the first derivative of 0*y**k - 1 - 5/4*y**4 + y + 0*y**2. Differentiate l(q) wrt q.
-15*q**2
Let q(s) be the second derivative of -9/20*s**5 + 0*s**4 + 0*s**3 + 13/2*s**2 + 0 + 19*s. Differentiate q(d) wrt d.
-27*d**2
Let i(b) = 11*b**2 - 295*b + 426. Let v(s) = -5*s**2 + 148*s - 211. Let z(o) = 4*i(o) + 9*v(o). Differentiate z(r) with respect to r.
-2*r + 152
What is the third derivative of -119*s**3 + 58*s**3 + 63*s**3 - 54*s**4 + 27*s**2 - 31*s**4 + 15*s**2 wrt s?
-2040*s + 12
Suppose -261 = -3*z + 2*d, -95 = -z - 0*d - 2*d. What is the third derivative of -114*a**3 + 241*a**3 - 24*a**2 - z*a**3 wrt a?
228
Let w(z) be the first derivative of -z**6/5 + 9*z**5/20 + 7*z**2/2 - 18. Let y(m) be the second derivative of w(m). What is the third derivative of y(p) wrt p?
-144
What is the second derivative of 66*k + 12385*k**5 - 6185*k**5 - k**3 - 6193*k**5 wrt k?
140*k**3 - 6*k
Let f(w) = -6*w**5 - 5*w**4 - 111*w**2. Let a(z) = 5*z**5 + 5*z**4 + 116*z**2. Let g(k) = 4*a(k) + 3*f(k). What is the third derivative of g(y) wrt y?
120*y**2 + 120*y
Let j = -123 - -125. Suppose -11 = -2*u - 3*o, -o + 5*o = 4*u - 12. What is the third derivative of -5*k**2 + 6*k**j - 2*k**4 - k**4 + 6*k**u wrt k?
72*k
What is the third derivative of -15*b**4 - 11*b**4 + 10*b**4 + 14*b**2 - 2*b**2 wrt b?
-384*b
Suppose 4*x = x + 9. What is the second derivative of -11*q - 8*q**3 + 0*q**x + 4*q**3 wrt q?
-24*q
Suppose 5*i + 3*u = 19, 5*u - 20 = i - 7. What is the second derivative of -61*a + 33*a - 5*a - i*a**3 wrt a?
-12*a
Let b = 20 + -15. Find the second derivative of -3*f**2 + 11*f**b - f**2 + 4*f**2 - f wrt f.
220*f**3
Let m(j) = 216*j - 221. Let i(h) = 2375*h - 2430. Let y(f) = -6*i(f) + 65*m(f). What is the derivative of y(v) wrt v?
-210
Let w(j) = j**3 + 7*j**2 + 5*j - 4. Let q be w(-6). Let t(n) be the second derivative of -2/3*n**4 + 7/2*n**q + 0*n**3 + 10*n + 0. Differentiate t(m) wrt m.
-16*m
Let m(u) = -u**3 - u. Let f(o) = 17 + 9 + 16*o**3 - 19*o**4 - 22*o**3 - 6*o. Let y(x) = -f(x) + 6*m(x). Differentiate y(g) with respect to g.
76*g**3
Let c = 10 + -7. What is the second derivative of -46*r**3 + 51*r**3 - c*r + 4*r wrt r?
30*r
Suppose 4*u = -u - 4*t + 116, -3*u + 73 = -t. Let c = u + -18. What is the derivative of 0*g + c*g - g + 0 - 1 wrt g?
5
Let x(r) = -r**2 + 5*r + 7. Let p be x(6). Let l be 4*1/4 - 1. Differentiate -2 + 4*o**2 + l - p + 0 with respect to o.
8*o
Suppose 12*i - 36 = 3*i. Let f(x) be the first derivative of 0*x + 0*x**3 + 5/2*x**2 - 3/4*x**i - 2. What is the second derivative of f(s) wrt s?
-18*s
Find the third derivative of -105*k**4 - 9*k + 5*k + 4*k - 331*k**2 - 93*k**2 wrt k.
-2520*k
Let o(p) be the third derivative of 0*p + 1/3*p**3 - 2*p**2 - 3/10*p**5 + 0 + 0*p**4. What is the derivative of o(n) wrt n?
-36*n
Differentiate -k - 4*k**2 - 4*k**2 + 60*k**3 + 10 - 467 + 8*k**2 with respect to k.
180*k**2 - 1
Suppose -8*z = 7 - 127. Let i(v) = -v**2. Let p(c) = -33*c**2 + 18*c. Let j(d) = z*i(d) - p(d). What is the second derivative of j(x) wrt x?
36
Let f(g) be the first derivative of 23*g**4/12 + 8*g**3/3 - 18*g - 23. Let y(x) be the first derivative of f(x). What is the second derivative of y(m) wrt m?
46
Let q(m) = -5*m + 18. Let n be (-5)/((-20)/8) + 1. Let k(o) = -5*o + 18. Let i(y) = n*k(y) - 2*q(y). Differentiate i(a) with respect to a.
-5
Let l(h) be the first derivative of -19*h**3 - 145*h**2 + 485. What is the second derivative of l(i) wrt i?
-114
Let d(i) be the second derivative of -i**4 + 0 + 0*i**2 + 9*i - 1/2*i**3. Find the second derivative of d(x) wrt x.
-24
Let r(t) be the second derivative of 47/6*t**3 - 2 + 45/2*t**2 - 16*t. Differentiate r(a) with respect to a.
47
Let r(d) be the first derivative of 3*d**7/140 + d**6/90 - 2*d**3 - 23. Let o(y) be the third derivative of r(y). What is the third derivative of o(w) wrt w?
108
Let u = 29 + -28. Let n be (0 - u) + 6 + -2. Find the third derivative of -f**2 + 3*f**2 - 11*f**n + 11*f**3 + 2*f**6 wrt f.
240*f**3
Let r(g) be the first derivative of 11*g**6/2 + 3*g**5/5 + 3*g**3 + 10*g**2 + 163. What is the third derivative of r(b) wrt b?
1980*b**2 + 72*b
Let z = -16 - -28. Let l be (-3)/z - (-13)/4. What is the third derivative of q**2 - 2*q**5 - 39*q**l + 39*q**3 + 0*q**5 wrt q?
-120*q**2
Let l(s) = 7*s**2 + 2. Let j be 3/((-18)/3) + 45/30. Let z(x) = -x + x**2 + x. Let m(g) = j*l(g) - 4*z(g). What is the first derivative of m(a) wrt a?
6*a
Let m be ((0 + (-8)/12)*-15)/1. What is the second derivative of 8*n**3 - m*n + 2*n**3 + 4*n**3 wrt n?
84*n
Suppose 12 = -2*o + 5*g, 0*o - g + 7 = -5*o. Let p = o - -5. What is the second derivative of -10*b + 2*b**p + b**4 + 3*b + 8*b wrt b?
36*b**2
Let z = 60 + -36. Find the first derivative of -103 - z*b**2 + 187 - 93 wrt b.
-48*b
Let a(q) be the third derivative of q**8/14 + q**6/120 + 67*q**4/12 - 76*q**2. What is the second derivative of a(m) wrt m?
480*m**3 + 6*m
What is the derivative of -534 + 43*v**2 + 239 - 402 - 24 + 16*v**2 - v**3 wrt v?
-3*v**2 + 118*v
Find the third derivative of 21*k**2 + 29*k**2 - 47*k**2 - 7 + 420*k**3 wrt k.
2520
Differentiate 4*d**3 + 247 - 18*d**3 + 13*d**3 + 22*d wrt d.
-3*d**2 + 22
Find the second derivative of -11 - 38*y**4 - 33*y**2 + 5*y - 23*y**2 - 4*y + 56*y**2 wrt y.
-456*y**2
Let h(n) be the first derivative of -7*n**6/6 + 3*n**5/5 + 20*n**3/3 + 2*n**2 + 86. What is the third derivative of h(w) wrt w?
-420*w**2 + 72*w
What is the third derivative of 178*o**2 - 360*o**2 + 9*o**5 + 137*o**2 - 2*o**3 wrt o?
540*o**2 - 12
Let l be ((-636)/(-3))/(4 - 2). Find the third derivative of 12*o**2 - 106 + l - 19*o**3 wrt o.
-114
Let y(o) be the third derivative of 0*o**5 + 0*o**4 + 13/210*o**7 + 0*o - 1/2*o**3 + 0 + 0*o**6 + 10*o**2. Find the first derivative of y(z) wrt z.
52*z**3
Let o(h) = 50*h + 66. Let y(u) = 48*u + 67. Let v(p) = -5*o(p) + 6*y(p). Find the first derivative of v(j) wrt j.
38
Let j = 22 + -18. What is the second derivative of -9*c**4 + 29*c**j + 29*c + 12*c**4 wrt c?
384*c**2
Let d(t) = -47*t - 70. Let p(m) = -49*m - 70. Let q(v) = 3*d(v) - 4*p(v). What is the derivative of q(b) wrt b?
55
Let j(z) be the second derivative of 27*z**3 - 144*z**2 + 154*z. Find the first derivative of j(p) wrt p.
162
Find the third derivative of 23 + 104*i**5 + 0*i**4 + 3*i**2 + 3434*i**3 + 0*i**4 - 3434*i**3 wrt i.
6240*i**2
Let q(h) be the first derivative of -11*h**4/24 - 5*h**3/3 + 23*h**2/2 + 24. Let n(c) be the second derivative of q(c). What is the derivative of n(y) wrt y?
-11
Let u(n) be the first derivative of 26 + 0*n**4 + 2*n**6 + 0*n**3 + 0*n**5 + 9/2*n**2 + 0*n. Find the second derivative of u(x) wrt x.
240*x**3
Find the second derivative of -531*a**3 - 47*a + 531*a**3 - 131*a**4 wrt a.
-1572*a**2
Let b = -18 + 21. Find the thir