nd derivative of t(u) wrt u?
-24*u**2 - 204*u
Let v(h) be the third derivative of -h**7/70 + h**6/60 + 23*h**5/10 + 54*h**2. Find the third derivative of v(o) wrt o.
-72*o + 12
Let w(u) be the second derivative of u**5/60 + u**4/12 + u**2 + u. Let c(n) be the first derivative of w(n). What is the second derivative of c(l) wrt l?
2
Suppose 20 - 12 = 4*o. Let x(g) be the first derivative of 13*g + o*g**4 - 7*g - 13 + g. What is the first derivative of x(y) wrt y?
24*y**2
Let o(m) be the third derivative of 47*m**6/60 + m**5/30 - m**4/8 + m**3/2 + 10*m**2 - 9*m. What is the second derivative of o(s) wrt s?
564*s + 4
Let q(p) be the second derivative of 0*p**5 + 0*p**6 + 6*p + 0 - 3/2*p**4 + 0*p**2 + 0*p**7 + 0*p**3 + 1/56*p**8. What is the third derivative of q(b) wrt b?
120*b**3
Let y(p) be the first derivative of 11*p**7/7 + p**6/2 + 40*p**3/3 - p**2/2 - 90. Find the third derivative of y(x) wrt x.
1320*x**3 + 180*x**2
Let t(o) = -642*o**3 + 6*o**2 + 18*o + 186. Let u(j) = -641*j**3 + 5*j**2 + 15*j + 184. Let f(x) = -5*t(x) + 6*u(x). Find the first derivative of f(h) wrt h.
-1908*h**2
Let d(a) be the first derivative of a**8/168 - a**5/60 + 14*a**2 + 3. Let g(s) be the second derivative of d(s). What is the third derivative of g(k) wrt k?
120*k**2
Let u(t) = -3*t - 2. Let y be u(-9). Suppose 0*z - 5*z = -y. What is the third derivative of 6*a**2 - 4*a**2 - 6*a**5 + a**z wrt a?
-300*a**2
Let s = 491 - 488. Let w(k) be the first derivative of -2*k**2 + 0*k**s + 0*k - 1/5*k**5 + 1 + 0*k**4. Find the second derivative of w(o) wrt o.
-12*o**2
Let h be 1*(64/4 - 0). Let l = 23 - h. What is the third derivative of -7 + l*u**5 - 5*u**2 + 25 - 18 wrt u?
420*u**2
Let h = 6 - 1. Suppose 4*m = -n + 21, -4*m = -n + h*n - 36. What is the derivative of n + 0*d - 3*d + 5 - 4 wrt d?
-3
Let q(v) = -v**3 - 10*v**2 - 11*v - 15. Let y be q(-9). Find the third derivative of 5*r**y - 11*r**3 + r**2 + 3*r**2 - 5*r**2 wrt r.
-36
Let c(q) = 22*q**2 - 4*q - 96. Let i(z) = 20*z**2 - 5*z - 95. Let n(k) = -5*c(k) + 4*i(k). Differentiate n(y) wrt y.
-60*y
Let b(y) be the third derivative of -1/336*y**8 + 0 + 0*y - 1/60*y**5 + 0*y**6 + 0*y**3 + 0*y**4 + 12*y**2 + 0*y**7. What is the third derivative of b(q) wrt q?
-60*q**2
What is the first derivative of -146*k - 221 - 91*k - 27 wrt k?
-237
Let z(q) be the first derivative of 0*q**5 + 5/7*q**7 + 0*q**6 + 0*q**4 - 20 + 0*q**2 - 6*q + q**3. Find the third derivative of z(m) wrt m.
600*m**3
Find the third derivative of -51*y**2 + 2*y**5 - 28*y**2 - 68*y**2 - 150*y**2 + 113*y**4 wrt y.
120*y**2 + 2712*y
Find the second derivative of 127*r - 29*r**2 + 11 - 11 - 37*r**2 + 188*r wrt r.
-132
Let o(a) = -70*a**2 + 10*a - 2. Let p(f) = -71*f**2 + 8*f - 3. Let t(m) = -7*o(m) + 6*p(m). What is the second derivative of t(r) wrt r?
128
Let b(w) = -w**3 + 14*w**2 - 19*w + 23. Let l be b(12). Find the third derivative of -47*z**3 - 25*z**2 + 83 - l wrt z.
-282
Suppose -2*r + 49 = 2*r - f, -2*r - 4*f + 2 = 0. Let w = r + -11. What is the second derivative of 3 + 4*m + 3*m**2 - 3 + w*m**2 wrt m?
6
Let u(s) be the first derivative of s**2/2 - 4*s - 4. Let o be u(7). What is the third derivative of o*h**5 + 5*h**2 - 3*h**2 - 5*h**2 wrt h?
180*h**2
Let y(g) = -3*g - 10. Let u be y(-4). Let s(i) = 3*i - 2. Let d be s(u). Find the second derivative of 14*c**d + 0*c + 16*c**4 - 3*c - 33*c**4 wrt c.
-36*c**2
Suppose -2 = -4*o + 6. Suppose 4*c + c = -o*f - 14, 12 = -3*c. Find the second derivative of 4 - 4 - 5*j**f - 2*j wrt j.
-30*j
Let k(z) = -3*z**4 - 15*z**3 + 5*z**2 - 5*z + 240. Let v(r) = r**4 + 3*r**3 - r**2 + r + 1. Let w(m) = -k(m) - 5*v(m). Differentiate w(s) wrt s.
-8*s**3
What is the third derivative of -35*c**2 + 243*c**2 + 142*c**2 - 29*c**2 + 28*c**4 wrt c?
672*c
Find the first derivative of 124 - 25 - 36 + 316*j**2 wrt j.
632*j
Let w(r) = -10*r**2 + 59*r - 62. Let t(m) = -23*m**2 + 118*m - 126. Let n(x) = 6*t(x) - 14*w(x). Find the first derivative of n(k) wrt k.
4*k - 118
Let g(r) = -13*r**4 + 11*r**3 - 11*r**2 - 66*r - 22. Let y(l) = l**3 - l**2 - l - 2. Let k(v) = -2*g(v) + 22*y(v). What is the second derivative of k(q) wrt q?
312*q**2
Suppose -4*q - 116 = -5*x, -4*x - 23 = -5*x + q. What is the second derivative of 12*w - 11*w + 5*w**2 - 5*w**2 + x*w**4 wrt w?
288*w**2
Let t = -34 - -39. Suppose 0 = -t*n + 8 + 2. What is the first derivative of n*o - 5*o - 4*o + 6*o + 4 wrt o?
-1
Let u(n) be the second derivative of 15/2*n**2 + 0*n**3 + 0 + 0*n**5 - 37/30*n**6 + 20*n + 0*n**4. Differentiate u(a) with respect to a.
-148*a**3
Let v(r) be the third derivative of 0*r**6 - 1/105*r**7 + 1/3*r**5 + 0*r - 4*r**2 + 0*r**3 + 0*r**4 + 0. What is the third derivative of v(n) wrt n?
-48*n
Let f be (-2)/(432/(-213) - -2). Differentiate -65*d**4 + f*d**4 + 2 + 4 wrt d.
24*d**3
Let k(m) be the first derivative of -m**8/12 + m**4/2 + 8*m**2 - 19. Let y(o) be the second derivative of k(o). What is the second derivative of y(q) wrt q?
-560*q**3
Suppose g = 4 + 3. Suppose 3*m = 6, 4*l - g = 5*l - 5*m. Find the second derivative of 22*t**3 - 18*t**3 + 4*t - l*t wrt t.
24*t
Suppose 6*o + 0*o - 126 = 0. What is the third derivative of o*p**5 + 20*p**4 - 6*p**5 + 41*p**2 - 20*p**4 wrt p?
900*p**2
Differentiate -39*i - 55*i - 47*i + 52*i - 29 wrt i.
-89
Suppose 3*t - 3*s + 6 = 0, 3*s + 8 = 2*t + 4*s. Suppose 6*d = 2*d. What is the second derivative of -4*f**2 + d*f - 2*f**2 + f**t - 6*f wrt f?
-10
Let s(z) = -3*z**3 - 4*z**2 + 5*z - 2. Let y be s(6). Let d = -400 - y. What is the second derivative of -10*x - 364 + d + 11*x**3 wrt x?
66*x
What is the second derivative of -243*k**5 - 12464*k**4 - 2 + 12464*k**4 + k**2 + 102*k wrt k?
-4860*k**3 + 2
Let q(u) = 2*u**4 + u**2 - 1. Let b(g) = 2*g**6 + 161*g**5 - 10*g**4 + 102*g**2 + 5. Let s(p) = b(p) + 5*q(p). What is the third derivative of s(n) wrt n?
240*n**3 + 9660*n**2
Let o(h) = 116*h**3 + 6*h**2 - 5*h - 10. Let m(b) = -58*b**3 - 3*b**2 + 2*b + 4. Let s(r) = 5*m(r) + 2*o(r). What is the third derivative of s(j) wrt j?
-348
Let n(s) be the third derivative of s**5/12 + 13*s**4/24 - 83*s**3/6 - 20*s**2 - 3*s. What is the first derivative of n(g) wrt g?
10*g + 13
Let l(o) be the second derivative of o**8/14 - 11*o**7/42 - 3*o**4/4 + 5*o**2/2 + 3*o - 8. What is the third derivative of l(m) wrt m?
480*m**3 - 660*m**2
Let o(r) = 3*r - 3. Suppose -2*b - 3 - 4 = p, b = -2*p + 1. Let l be o(p). What is the third derivative of -2*a**l - 2*a**6 - 3*a**6 + 3*a**6 + 4*a**2 wrt a?
-480*a**3
Let t(g) be the third derivative of 0*g - 11*g**2 + 0 + 0*g**4 - 13/120*g**6 + 7/60*g**5 + 0*g**3. What is the third derivative of t(o) wrt o?
-78
Let d(q) = -19*q - 15. Let k(h) be the third derivative of -h**4/24 - h**3/6 - 12*h**2. Let l(o) = -d(o) + 6*k(o). What is the derivative of l(i) wrt i?
13
Let s(n) = 3*n - 11. Let b be s(5). Find the first derivative of -r - 37*r**4 - 40 - 3*r + b*r wrt r.
-148*r**3
Let r(v) be the third derivative of -v**7/210 + v**6/24 + v**5/20 - v**3/3 - 13*v**2. Find the third derivative of r(f) wrt f.
-24*f + 30
Suppose 0 = 3*m + 4*y - 4 - 21, -3*y = -12. Find the first derivative of -16*w**m - 2*w**2 + 21*w**3 + 2*w**2 - 36 wrt w.
15*w**2
Let p = -284 - -284. Let a(c) be the second derivative of -1/3*c**4 + 0 + p*c**3 - 5*c - c**2. Differentiate a(z) wrt z.
-8*z
Let w be (3/((-30)/8))/((-1)/5). What is the second derivative of -6*p**4 - 8*p + 13*p**w + 4*p wrt p?
84*p**2
Let w(s) = -s**3 - 223*s**2 + 1016*s + 36. Let q(y) = 56*y**2 - 254*y - 8. Let o(c) = 9*q(c) + 2*w(c). What is the second derivative of o(a) wrt a?
-12*a + 116
Let h(a) = -a - 4. Let v be h(-7). Suppose -g + 2*j = v*j - 3, g + 2*j - 3 = 0. Find the second derivative of -2*l - 3*l**g + 8*l + l wrt l.
-18*l
Suppose 5*i = 90 + 65. Find the second derivative of -i*k**3 + 1575*k**2 - 1575*k**2 + 35*k + 0*k**3 wrt k.
-186*k
Let n(a) be the second derivative of 11*a**5/20 - 13*a**2 - 89*a. What is the derivative of n(p) wrt p?
33*p**2
Let l be 2/(-15) - (-2)/15. Let q(z) be the first derivative of 5 + 0*z**4 + 6/5*z**5 + 0*z**3 + l*z + 1/2*z**2. What is the second derivative of q(c) wrt c?
72*c**2
Let s be (-2 - -18) + 5/((-10)/4). What is the second derivative of -5*d + s*d + 2*d**2 - d wrt d?
4
Let t(g) be the second derivative of 