 derivative of 601*w**6/30 + 235*w**4/3 - 78*w - 1. What is the third derivative of y(c) wrt c?
14424*c
Let h be (-2)/7 - (-50186)/(-161). Let z be (-2)/10 + h/(-60). What is the derivative of -4 - d - z - 13*d + 3 wrt d?
-14
Find the first derivative of -134*v**2 + 551 + 1046*v**3 + 295*v**2 - 161*v**2 wrt v.
3138*v**2
Let p(v) be the third derivative of 31*v**4/8 - 41*v**3/2 + 78*v**2 + v. What is the derivative of p(f) wrt f?
93
Let u(z) = -4*z**3 - 3*z**2 + 28*z + 90. Let h(g) = g**3 + g**2. Let v(c) = 3*h(c) + u(c). Differentiate v(x) with respect to x.
-3*x**2 + 28
Let j(u) be the third derivative of 1/105*u**7 + 0*u**3 + 3/10*u**5 + 10*u**2 + 0*u + 0*u**4 + 0 + 0*u**6. What is the third derivative of j(f) wrt f?
48*f
Let w(x) = -184*x**5 - x**4 - 190*x**2 + 4*x + 1. Let u(k) = -k**4 - k**2 + 2*k + 1. Let p(m) = u(m) - w(m). What is the third derivative of p(c) wrt c?
11040*c**2
Let c(v) be the second derivative of 1/3*v**3 - 23/42*v**7 - 16*v + 0*v**6 + 1/12*v**4 + 0 + 0*v**5 + 0*v**2. What is the third derivative of c(n) wrt n?
-1380*n**2
Let j(i) = 51*i**3 + 9*i**2 - 3*i - 7. Let a be j(3). Find the third derivative of a*x**2 - 1450*x**2 - 6*x**4 + 3*x**4 wrt x.
-72*x
Let v(l) be the second derivative of 0*l**4 + 3/10*l**5 + 0 - 12*l + 0*l**2 - 13/6*l**3. What is the second derivative of v(j) wrt j?
36*j
Let l(f) = -271 - 3*f**2 + 11*f + 235 - f**2. Let b(q) = q**2 - 2*q + 7. Let y(z) = -11*b(z) - 2*l(z). What is the first derivative of y(k) wrt k?
-6*k
Let r(a) = 53*a**6 + 6*a**5 + 6*a**4 + 3*a**2 + 20*a. Let y(n) = -n**5 - n**4 - n. Let v(j) = -r(j) - 6*y(j). Find the third derivative of v(p) wrt p.
-6360*p**3
Suppose 1 - 41 = -8*w. Find the third derivative of -3*x**w - 52*x**6 - 3*x**2 + 2 - 9 + 3*x**5 wrt x.
-6240*x**3
Let n(t) be the third derivative of 0*t**5 + 0*t**3 - 1/3*t**4 + 0 + 0*t - 18*t**2 - 1/42*t**7 + 0*t**6. What is the second derivative of n(j) wrt j?
-60*j**2
Let n(a) = 17*a**3 - 121*a**2 - 6*a + 81. Let l(i) = 3*i**3 - 24*i**2 - i + 16. Let w(g) = -11*l(g) + 2*n(g). Find the second derivative of w(d) wrt d.
6*d + 44
Let y(a) be the second derivative of 99*a**7/14 + 257*a**4/12 + a**3/3 - 331*a. What is the third derivative of y(t) wrt t?
17820*t**2
Let b(t) be the first derivative of 22*t**5 + 6*t + 82. Find the first derivative of b(i) wrt i.
440*i**3
Let g(a) = 2*a**2 - 4*a + 4. Let h be g(4). Let x be (-30)/h*(-4)/3. Find the third derivative of -j**x - 8*j**4 - 9*j**2 + 18*j**2 wrt j.
-192*j
What is the second derivative of -2*d**5 + 0 + 41*d**3 - 16*d**3 - 7*d**3 - d + 200*d**3 + 375 wrt d?
-40*d**3 + 1308*d
Let y(w) = w - 1. Let o(u) = 90*u**2 - 67*u - 6. Let l(s) = o(s) - 6*y(s). Find the second derivative of l(d) wrt d.
180
Differentiate -91*b**2 - 41*b**2 - 99 - 31 - 280 - 123*b**2 wrt b.
-510*b
Let n(y) be the first derivative of 1/2*y**4 + 0*y + 17/2*y**2 + 0*y**3 + 16. Find the second derivative of n(c) wrt c.
12*c
Let b(u) be the first derivative of 237*u**5/5 - 143*u**2/2 - 61. What is the second derivative of b(i) wrt i?
2844*i**2
Let z be 4 + 3*(-1)/(-3). Suppose z*m - 18 = 2*m. What is the first derivative of m - 12 + 6*a**4 + 2 wrt a?
24*a**3
Suppose -5*y = -7*a + 4*a - 21, -3*a = -2*y + 3. Find the third derivative of -6*k**6 - 40*k**2 + 17*k**y + 40*k**2 - 19*k**2 wrt k.
1320*k**3
Suppose -107 = 3*p - 125. Find the first derivative of -p*j - 87 - 19*j + 2*j + 100 wrt j.
-23
Let z(f) = f**2 - 1. Let b(s) be the third derivative of -s**5/15 + s**4/12 - 31*s**3/6 + 11*s**2 + 2. Let m(p) = b(p) + 5*z(p). Differentiate m(a) wrt a.
2*a + 2
Let j(p) be the first derivative of -p**8/60 + p**4/2 + 20*p**3/3 + 31. Let r(l) be the third derivative of j(l). Differentiate r(y) with respect to y.
-112*y**3
Let b(i) be the second derivative of 0 - 17/6*i**3 + 3*i + 17*i**2. Differentiate b(v) wrt v.
-17
Let b = 96 + -94. Find the third derivative of 7*h**b - 7*h**3 + 2*h**3 + 5*h**3 - 4*h**6 wrt h.
-480*h**3
Let y(o) be the third derivative of -409*o**4/12 - 279*o**3/2 + 709*o**2. Find the first derivative of y(w) wrt w.
-818
Let b(d) be the third derivative of -551*d**9/504 - 19*d**5/10 - d**2 + 228*d. Find the third derivative of b(k) wrt k.
-66120*k**3
Let d be 1 + 18 + (-9 - -7). Suppose -2*n - 4*t = 3*n - 22, 3*t - d = -4*n. What is the second derivative of 5*z - 42*z**2 - 4*z + 37*z**n wrt z?
-10
Let g(q) = 3*q**3 + q**2 + 3*q - 4. Let b be g(2). What is the second derivative of 27*w**3 + 2*w + 5*w - b*w**3 wrt w?
-18*w
Let n(h) = -41*h**2 + 134*h - 741. Let f(k) = 110*k**2 - 402*k + 2224. Let v(p) = 3*f(p) + 8*n(p). What is the first derivative of v(c) wrt c?
4*c - 134
Let h(m) = m**4 + m**3 + m**2 + m. Let y(n) = 15*n**5 - 5*n**4 - 6*n**3 - 3*n**2 - 70*n. Let j(z) = -5*h(z) - y(z). Find the third derivative of j(k) wrt k.
-900*k**2 + 6
Find the third derivative of -256*t**4 + 2062*t**3 - 162*t**4 - 2062*t**3 - 160*t**2 wrt t.
-10032*t
Let b(j) be the third derivative of 0*j**4 + 0 + 0*j + 11/6*j**3 + 1/60*j**5 - j**2. What is the derivative of b(s) wrt s?
2*s
Let q(h) be the second derivative of 97*h**3/6 + 25*h**2/2 + 68*h. What is the derivative of q(j) wrt j?
97
Differentiate -565 - 1303*p**4 + 1466 + 1070*p**4 wrt p.
-932*p**3
Let l(b) = -7*b**2 + 2*b + 4. Let h(d) = -98 - d + 99 + 0*d. Let q(c) = 2*h(c) + l(c). Find the first derivative of q(a) wrt a.
-14*a
Let n = -55 + 57. What is the second derivative of 9*v + n*v + 13*v**5 - 4*v - 5*v wrt v?
260*v**3
Find the second derivative of 1866*x**2 - 1831*x**2 + 231*x + 1 + 2*x**3 + 5*x**3 wrt x.
42*x + 70
Suppose 4*t - 4*x - 36 = 0, -6 = -3*t + x + 11. Find the third derivative of 187*v**2 - 203*v**2 - 10*v**t - v + v wrt v.
-240*v
Find the second derivative of -316*m**5 - 373*m - 132*m**5 + 3*m**5 + 10*m**5 wrt m.
-8700*m**3
Find the third derivative of 3625*v**3 - 36*v**2 - 1614*v**3 - 1836*v**3 wrt v.
1050
Let n(d) be the second derivative of 0*d**2 + 0*d**3 + 5/12*d**4 + 0*d**5 + 2/15*d**6 - 3*d + 0. Find the third derivative of n(t) wrt t.
96*t
Suppose 0 = -4*a + 5 + 7. Let m = 8 - a. What is the second derivative of 7*d**5 - 42*d + 46*d - 4*d**m wrt d?
60*d**3
Differentiate -5*l - 161 + 5*l + 820 - 943*l**4 with respect to l.
-3772*l**3
Let b(x) = -x**2 + 4*x - 2. Let c(s) = -420*s**3 - 22*s**2 + 50*s - 24. Let l(y) = 12*b(y) - c(y). What is the third derivative of l(q) wrt q?
2520
Let b = 131 - 128. Suppose -5 = 5*l + 5*u, 5*l - 2*u - 2*u = 13. What is the first derivative of 1 + 6 + 1 + 4*m**b - l wrt m?
12*m**2
Suppose -5 = 9*b - 23. Find the second derivative of -28*t + 0*t**2 + 13*t - 4*t**b - 2*t**2 wrt t.
-12
Let q(p) be the third derivative of 0*p**3 - 1/42*p**7 + 0*p - 8*p**2 + 0*p**6 + 0*p**5 - 17/24*p**4 + 0. Find the second derivative of q(m) wrt m.
-60*m**2
What is the second derivative of 450*u**2 - 24 + 20 + 520*u + 3 wrt u?
900
Let a = -27 + 30. What is the second derivative of 2*m**3 + m**3 + 14*m**5 - 2*m - a*m**3 wrt m?
280*m**3
Let c(a) = a**4 + a**2 + a. Let m(j) = -5*j**4 + 8*j**3 - 85*j**2 - j. Let u(p) = c(p) + m(p). What is the third derivative of u(x) wrt x?
-96*x + 48
Suppose -x - 16 = -2*x. Suppose x*k - 19*k + 6 = 0. Find the third derivative of -k + 5*j**4 - 4*j**2 + 2 wrt j.
120*j
Differentiate 129 + 114*k - 104*k + 33*k + 150*k + 92*k wrt k.
285
Suppose 0 = 2*g + u - 14, -23 - 18 = -5*g - 4*u. Find the second derivative of -575*c - 5 + g + 618*c - 2*c**5 wrt c.
-40*c**3
Let g(s) = -8*s**4 - 6*s**2 - 3*s + 83. Let b(u) = -2*u**4 + u**2 - u + 1. Let x(r) = -3*b(r) + g(r). Differentiate x(y) with respect to y.
-8*y**3 - 18*y
Suppose 4*a + 20 = -0*d + 4*d, 2*a = -2. Suppose p - 8 = -3. What is the second derivative of -8*r + 10*r - p*r**2 + d*r wrt r?
-10
Suppose -c + 5 = g, 4*c - g - 4 - 6 = 0. Find the third derivative of 8*z**2 + 0*z**2 + c*z**6 + 8*z**2 + 23*z**6 wrt z.
3120*z**3
Let j(r) = -r**2 + 2*r - 1. Let o(y) = 8*y**2 + 208*y + 334. Let v(k) = -7*j(k) - o(k). What is the derivative of v(f) wrt f?
-2*f - 222
Suppose -67*f + 15 = -62*f. Let u(v) be the second derivative of v + 0 + 3/2*v**2 + v**f. Find the first derivative of u(p) wrt p.
6
Let c(l) be the second derivative of 0*l**2 + 0*l**5 - 1/6*l**7 + 16*l + 0 + 0*l**6 + 0*l**4 + 5/3*l**3. What is the second derivative of c(q) wrt q?
-140*q**3
Let h