4
Let a(x) be the first derivative of 132*x**7 + 51*x**3 + x**2 + 42. What is the third derivative of a(s) wrt s?
110880*s**3
Let h(p) be the second derivative of 16*p**7/21 - p**5/4 - 7*p**4 - p**2/2 + 28*p - 3. What is the third derivative of h(t) wrt t?
1920*t**2 - 30
Let k = -54 - -88. Suppose a = 5, k = 3*l + 7*a - 2*a. What is the third derivative of -2*c**l - 3*c**3 - c**2 + 7*c**3 - c**3 wrt c?
6
Let f = 10 + 14. Find the first derivative of -11 + 13 + 18*b + f wrt b.
18
Let d be 5/((-3)/(-3) + 0). Suppose -2*f + j + d = 0, 3*f + 4*j - 2*j = 4. Find the third derivative of -4*t**2 - f*t**6 + 2*t**4 + 0*t**6 - 2*t**4 wrt t.
-240*t**3
Let l = 207 + -413/2. Let v(b) be the first derivative of 0*b**4 + 0*b - 4/5*b**5 + 0*b**3 - 1 - l*b**2. Find the second derivative of v(g) wrt g.
-48*g**2
Let i(x) = 124*x**2 - 13*x - 18. Let w(f) = 61*f**2 - 6*f - 8. Let v(q) = 4*i(q) - 9*w(q). What is the second derivative of v(o) wrt o?
-106
Let o(s) = -s**3 - s**2 + s + 5. Let j be o(0). Let d = 32 + -27. What is the third derivative of -7*r**2 + 2*r**2 - r**d - r**j + 6*r**5 wrt r?
240*r**2
Let b(j) be the third derivative of j**8/336 - 7*j**6/30 + 11*j**5/3 - 270*j**2. Find the third derivative of b(g) wrt g.
60*g**2 - 168
What is the third derivative of 17 + 13 + 105*j**5 + 6*j**2 - 34 + 2*j**4 wrt j?
6300*j**2 + 48*j
Let y(i) = 20*i**3 - 11*i**2 - 297. Let x(g) = -21*g**3 + 14*g**2 + 297. Let r(p) = 4*x(p) + 5*y(p). Find the first derivative of r(f) wrt f.
48*f**2 + 2*f
Let z = 52 - 38. Differentiate -8*b**2 + 11*b**2 - z + 6 with respect to b.
6*b
Let d(j) be the third derivative of -3/8*j**4 + 1/12*j**5 + 0*j**3 + 0*j + 4*j**2 + 0. What is the second derivative of d(r) wrt r?
10
Let w(p) = p**3 + 11*p**2 + 11*p + 3. Let l be w(-10). Let z = l + 11. What is the third derivative of 5*h**6 + 346*h**2 - z*h**6 - 341*h**2 wrt h?
120*h**3
Let x(r) = -4*r**2 + 2*r + 1. Let n = 13 - 21. Let t = n - -10. Let y(c) = -c**2 + c - 1. Let m(f) = t*x(f) - 4*y(f). Differentiate m(z) with respect to z.
-8*z
Let k(p) be the first derivative of p**7/280 + p**4/2 + 8*p**3/3 - 8. Let c(z) be the third derivative of k(z). Differentiate c(i) wrt i.
9*i**2
Let p(m) = 5*m**3 - m**2 + 1. Let n be 4*(-2)/(-1 - 7). Let s be p(n). Find the second derivative of -4*w**s + 0*w + 7*w**2 - 7*w**2 + 3*w wrt w.
-80*w**3
Let c be (-3)/(-2) + (-3)/(-2). Suppose c*l = -l + 20. Find the second derivative of q**5 + 3*q - q**5 + 3*q**l + q wrt q.
60*q**3
Let w(d) be the first derivative of -56*d**5/5 - 53*d**2 + 59. What is the second derivative of w(h) wrt h?
-672*h**2
Suppose 4*d + 4*n = 20, 3*d + 4*n + n = 17. Suppose b + 2*m + 16 = d*b, -m = 3*b - 19. Find the second derivative of -2*x + b*x - 3*x**5 - x**5 wrt x.
-80*x**3
Let c(t) be the third derivative of 2*t**7/105 + 7*t**6/30 + 433*t**4/24 + 85*t**2 + 2*t. What is the second derivative of c(f) wrt f?
48*f**2 + 168*f
Find the second derivative of 28*v + 38 - 56*v**4 + 5*v - 31*v + 777*v**4 wrt v.
8652*v**2
Let x = 6 - 7. Let u(k) = -k**3 + k - 1. Let a(h) = -13*h**3 + 26*h - 39. Let m(c) = x*a(c) + 26*u(c). What is the first derivative of m(q) wrt q?
-39*q**2
Let d(w) = -166*w**3 + 37*w**2 - 6*w - 12. Let k(p) = 166*p**3 - 36*p**2 + 5*p + 10. Let u(b) = -5*d(b) - 6*k(b). What is the third derivative of u(j) wrt j?
-996
Let w = 93 + -77. Differentiate 49*x**4 - 31*x**4 + w - 35*x**4 with respect to x.
-68*x**3
Let o(w) = -994*w - 1096. Let z(a) = 993*a + 1090. Let b(u) = 4*o(u) + 5*z(u). Differentiate b(x) wrt x.
989
Suppose -1 = -4*l + 15. Let h be 1*l - (-19 + 17). Find the third derivative of -3*x**4 + h*x**2 - 14*x**2 + 3*x**4 + 3*x**6 wrt x.
360*x**3
Let g(i) be the first derivative of 51*i**4/4 - i**3/3 + 26*i - 113. Find the third derivative of g(p) wrt p.
306
Let f(p) = 3*p - 23. Let x be f(12). What is the derivative of -6 - 13*l**2 - 3 + x*l**2 - 8*l**4 wrt l?
-32*l**3
Let q(p) = -5*p**2 + 7. Let a = 2 - 0. Let s(i) = -5*i**2 - 2695 + 2701 + i**2. Let h(k) = a*q(k) - 3*s(k). Find the first derivative of h(z) wrt z.
4*z
Let k(p) = -p**6 + p**3 - p. Let d(x) = 42*x**6 + 2*x**3 + 67*x**2 - 2*x. Let l(m) = d(m) - 2*k(m). What is the third derivative of l(i) wrt i?
5280*i**3
Let w = 338 + -332. Let d(l) be the third derivative of 1/20*l**w + 0*l**5 + 0*l**4 + 0*l - 5*l**2 + 1/2*l**3 + 0. Find the first derivative of d(b) wrt b.
18*b**2
Differentiate 114*b + 48 + 177 + 85*b + 185 + 41 with respect to b.
199
Let y(h) be the first derivative of 0*h**5 + 28 + 0*h + 0*h**6 - 15/7*h**7 + 0*h**2 + 0*h**4 - 11/3*h**3. What is the third derivative of y(j) wrt j?
-1800*j**3
Let j(h) = 69*h + 15. Let b be j(7). What is the derivative of 498*p - 2*p**4 - b*p + 1 wrt p?
-8*p**3
Let g(q) be the first derivative of 0*q - 7/2*q**4 + 7*q**2 + 0*q**3 - 5. Find the second derivative of g(v) wrt v.
-84*v
Let l(j) be the first derivative of -3*j**4/4 - 21*j**3 - 82*j**2 - 256. What is the second derivative of l(o) wrt o?
-18*o - 126
Let w(s) be the second derivative of -1/2*s**5 - s**4 + 0*s**3 + 10*s + 0 + 0*s**2. What is the third derivative of w(m) wrt m?
-60
Let u = 1685 - 20215/12. Let h(q) be the second derivative of 0*q**2 - q + 0*q**3 + 0 - 2/5*q**6 + 0*q**5 - u*q**4. What is the third derivative of h(y) wrt y?
-288*y
What is the second derivative of 431*y**2 + 111*y**2 - 264*y + 197*y - 2*y**3 - 36*y**2 - 482*y wrt y?
-12*y + 1012
Suppose 12*t - 38 = 10. Let v(w) be the second derivative of 0 + 0*w**3 - 5*w + 1/6*w**6 + 0*w**5 + 0*w**2 + 5/12*w**t. Find the third derivative of v(u) wrt u.
120*u
What is the second derivative of -832 + 0*n + 814 - 180*n**4 + 32*n**4 - 2*n wrt n?
-1776*n**2
Let g = -14 + 16. Suppose 4*k + 2*p - 19 = -3, -g*p = -3*k + 5. What is the derivative of 6*u**k - 18*u**3 - 135 + 124 wrt u?
-36*u**2
Find the second derivative of 65*m**3 + 2 - 1321*m + 1234*m + 290*m**3 wrt m.
2130*m
Let l(z) be the third derivative of -19/24*z**4 + 0*z**6 + 47/336*z**8 + 4*z**2 + 0*z + 0 + 0*z**7 + 0*z**5 + 0*z**3. Find the second derivative of l(w) wrt w.
940*w**3
Let y(v) be the first derivative of -90*v**7/7 + v**4/4 - 2*v**3/3 - 7*v**2 + 126. What is the third derivative of y(l) wrt l?
-10800*l**3 + 6
Let u(k) be the third derivative of 0*k**4 + 0*k - 7/3*k**3 + 0 - 13/60*k**5 - 19*k**2. Differentiate u(m) with respect to m.
-26*m
What is the derivative of -15*r**4 - 172 - 523 - 12*r**4 - 2*r**2 wrt r?
-108*r**3 - 4*r
What is the second derivative of 38*l**2 + 511*l - 5*l**2 - 1025*l + 481*l wrt l?
66
Let y be (-4 - 2)/3 + 5. Let i be (y/2)/((-1)/(-2)). Find the second derivative of i*c**4 - 2*c - 3*c + 3*c wrt c.
36*c**2
Let x(m) be the third derivative of 5/24*m**4 + 1/35*m**7 + 0 + 33*m**2 + 0*m**5 + 0*m**3 + 0*m**6 + 0*m. What is the second derivative of x(w) wrt w?
72*w**2
Let l be (-2 + (-2)/(-1))/1. Suppose -2*v + 38 = 2*o + v, -3*o - 2*v + 47 = l. What is the first derivative of 6 + 8 - o - 6*r**3 wrt r?
-18*r**2
Let a(k) be the third derivative of 0*k**7 + 0*k**6 + 0*k**5 + 2*k**2 + 0 - 1/24*k**8 - 2/3*k**4 + 0*k + 0*k**3. What is the second derivative of a(x) wrt x?
-280*x**3
What is the derivative of -8 + o + 67 + 61 - 7*o - 51 wrt o?
-6
Let f(i) = -i**2 - 1. Let y be 2/(-7) - (-2574)/91. Let z(j) = -14*j**2 + 4. Let u(d) = y*f(d) - 4*z(d). What is the derivative of u(s) wrt s?
56*s
Suppose 0 = d + 5*t + 8, -5*d + 2*t + 6 = 4*t. What is the second derivative of -6*g**2 - 5*g**d + 39*g + 2*g**2 - 33*g**2 wrt g?
-84
Suppose -3*i = -5*o + 4, 5*i - 15 = -4*o + 3. What is the first derivative of -1 + 26*c**i - 16*c**2 + 4 + 0 wrt c?
20*c
Let h be (16/2)/4*1685. What is the second derivative of h - 22*z**3 - 28*z - 3370 wrt z?
-132*z
Suppose 15*g - 413 - 187 = 0. Suppose -k + 5*b = -0*k - 24, 2*b = -k - 4. Find the third derivative of 3*s**k + 21*s - g*s + 4*s**2 + 19*s wrt s.
72*s
What is the first derivative of -233*j**4 + 2*j - 2*j + 18 - 26 + 199 - j**2 wrt j?
-932*j**3 - 2*j
Let r(o) be the second derivative of 277*o**7/42 + 127*o**4/6 + 16*o - 2. What is the third derivative of r(a) wrt a?
16620*a**2
Let r(g) = 1. Let p(a) = 2*a - 10. Let f be p(7). Let b(h) = -2 + 3*h**2 + h**f - 3*h**2. Let j(s) = 4*b(s) + 9*r(s). Find the first derivative of j(u) wrt u.
16*u**3
Let g(f) = f**3 - 4*f**2 - 3*f + 1. Let v be g(5).