92*d
Let y(h) = -39*h**2 + 112*h - 7. Let z(p) = -13*p**2 + 37*p - 2. Let m(u) = 2*y(u) - 7*z(u). What is the second derivative of m(v) wrt v?
26
Let l = 38 + 13. What is the second derivative of -14*k**5 + 51 - l - 14*k wrt k?
-280*k**3
Let m(t) be the third derivative of -t**8/28 + t**7/105 - t**5/10 + t**4/24 - 62*t**2. What is the third derivative of m(p) wrt p?
-720*p**2 + 48*p
Let v(s) be the third derivative of -1/3*s**4 - 2*s**3 - 5*s**2 + 0 + 0*s. Find the first derivative of v(l) wrt l.
-8
Differentiate 117 - 29*z - 28 - 75*z**2 + z**4 + 75*z**2 with respect to z.
4*z**3 - 29
Find the second derivative of -132*p**4 - 21*p - 80*p**4 + 69*p + 24*p wrt p.
-2544*p**2
Let g(u) be the third derivative of u**8/112 - 67*u**6/120 + 83*u**4/6 + 347*u**2 - u. Find the second derivative of g(c) wrt c.
60*c**3 - 402*c
Suppose 6*b + 102 = 7*b. Find the third derivative of -r - 13*r**2 + b*r**3 + r - 108*r**3 wrt r.
-36
Let o(s) = -5*s**2 - 2 - 7 + 2*s - 19 - 10*s. Let j(h) = 2*h**2 + 3*h + 9. Let y(n) = 8*j(n) + 3*o(n). What is the derivative of y(v) wrt v?
2*v
Let k(c) = 728*c**4 - 5*c**3 + 4*c + 497. Let d(a) = 362*a**4 - 2*a**3 + 2*a + 249. Let j(i) = 5*d(i) - 2*k(i). What is the second derivative of j(y) wrt y?
4248*y**2
Let r(m) be the third derivative of -m**5/6 - m**4/12 + 52*m**3/3 - 26*m**2 + 2*m. Find the first derivative of r(i) wrt i.
-20*i - 2
Let v(h) be the first derivative of h**5/10 - 5*h**3/6 + 3*h**2/2 - 13. Let o(p) be the second derivative of v(p). Differentiate o(l) with respect to l.
12*l
Suppose 5*x + 5 = 25. Let s(t) be the first derivative of t**5 - 2*t + x - 7 - 3*t. Find the first derivative of s(v) wrt v.
20*v**3
Let x(l) = -l**3 - 18*l**2 + 3*l + 93. Let d(f) = -2*f**3 - 40*f**2 + 5*f + 185. Let i(b) = 3*d(b) - 5*x(b). What is the derivative of i(o) wrt o?
-3*o**2 - 60*o
Let f be (1/2)/(5/20). Suppose 2*m - 7 = 1. Find the third derivative of 2*c**3 + 36*c**f - 2*c**3 - 31*c**2 - m*c**6 wrt c.
-480*c**3
Let j(y) be the second derivative of 115*y**4/4 + 77*y**3/2 + 2*y - 47. What is the second derivative of j(k) wrt k?
690
Let u = -88 + 96. Find the third derivative of -u*z**2 - 18*z**6 + 17*z**6 + 9*z**6 - 12*z**2 wrt z.
960*z**3
Let n(x) = -x**3 - 10*x**2 + 12*x + 14. Let f = -7 + -4. Let t be n(f). What is the first derivative of -2 + 2*a**3 - 3*a**t - 3*a**3 wrt a?
-12*a**2
Let w(o) be the third derivative of 0 + 13/70*o**7 + 17/24*o**4 + 0*o**5 + 0*o**6 + 0*o**3 + 36*o**2 + 0*o. What is the second derivative of w(u) wrt u?
468*u**2
Let i(o) be the second derivative of 33*o**8/56 + 7*o**4/2 + 17*o - 1. Find the third derivative of i(z) wrt z.
3960*z**3
What is the third derivative of -h**4 - 5 - 47*h**5 + 4*h**2 - 28*h**2 + 47*h**5 - 131*h**6 wrt h?
-15720*h**3 - 24*h
Let r(d) = -d**4 + 2*d**3 - 22*d**2 + 6*d - 168. Let s(b) = 4*b**4 - 7*b**3 + 65*b**2 - 21*b + 503. Let m(a) = -7*r(a) - 2*s(a). Differentiate m(k) wrt k.
-4*k**3 + 48*k
Let i(s) be the first derivative of -s**3 - 3*s**2 - 117*s - 221. Differentiate i(j) wrt j.
-6*j - 6
Let h(z) be the second derivative of -171*z**8/28 - z**4/2 + 7*z**3/2 - 123*z. Find the third derivative of h(d) wrt d.
-41040*d**3
Let h(x) = -224*x**4 - 3*x**2 + 52*x + 2. Let c(z) = 894*z**4 + 13*z**2 - 208*z - 9. Let a(g) = 2*c(g) + 9*h(g). What is the third derivative of a(p) wrt p?
-5472*p
Let c(s) = -5 + 4 + 2*s + 3 + 3 + 4*s**2. Let k be c(-7). What is the second derivative of -5*a - k*a**2 + 187*a**2 - 5*a**5 wrt a?
-100*a**3
Let b(h) = h**3 + h**2 - h + 1. Let q = 57 + -54. Let v(n) = 18*n**3 - 16*n**2 + 3*n - 3. Let k(c) = q*b(c) + v(c). What is the third derivative of k(p) wrt p?
126
Let r(x) be the second derivative of -26*x**7/21 + x**6/15 + 11*x**3 + 4*x + 9. Find the second derivative of r(o) wrt o.
-1040*o**3 + 24*o**2
Let c(u) be the second derivative of u**4/12 - 4*u**3/3 + 223*u**2/2 - 24*u. Find the first derivative of c(i) wrt i.
2*i - 8
What is the derivative of -100*v**3 - 88*v**3 - 27*v**3 - 43*v**3 + 382 - 58*v**3 wrt v?
-948*v**2
Let n be (12/(-2))/(30/(-40)). Find the first derivative of -5 + n + 2 + i wrt i.
1
Suppose 5*t - 5 = 5. Let u(a) = 2*a - t + 0 - 3*a - 5*a. Let b(n) = 18*n + 6. Let y(z) = -3*b(z) - 10*u(z). Differentiate y(i) wrt i.
6
Let t(c) be the first derivative of c**5/5 + 58*c**3/3 - 455*c + 295. Differentiate t(p) with respect to p.
4*p**3 + 116*p
Let g(q) = -q**2 + q. Suppose -m - 6 = -10. Let a(u) = -6*u**3 + 2*u**2 - 6*u**2 + 2 - 1 + 4*u. Let w(t) = m*g(t) - a(t). What is the derivative of w(k) wrt k?
18*k**2
Suppose 4*c = -8, 3*c + 0 = -2*u + 4. Find the third derivative of -5*h**2 + 36*h**5 + h**u - 2*h**5 wrt h.
2100*h**2
Let g(x) be the second derivative of 17*x**6/60 + 5*x**4/4 + 14*x**2 + 19*x. Let p(y) be the first derivative of g(y). Find the second derivative of p(o) wrt o.
204*o
Let t(f) = -2 - 5*f**3 - 19*f + 8*f**3 + 7*f**3 + 17*f. Let m(q) = -q**3 + 1. Let b(c) = 2*m(c) + t(c). What is the second derivative of b(z) wrt z?
48*z
Let i(t) = -t + 5. Let m be i(3). Suppose -4*o = 2*r, -5*r + 32 = -5*o + m. Find the second derivative of -4*l - 4*l - l**4 + r*l wrt l.
-12*l**2
Let w(v) = 177*v**3 - 2*v**2 - 8*v - 375. Let g(x) = -x**3 - x**2 - 4*x - 1. Let b(t) = -2*g(t) + w(t). What is the derivative of b(u) wrt u?
537*u**2
Suppose 3*n - 6 = -4*c - 1, 0 = c + 2*n. Find the third derivative of 2*x**6 + 10*x**c - 3*x**6 + 9*x**6 + 28*x**2 wrt x.
960*x**3
Let l be ((-5)/(-2) - -1)*-2. Let o = l + 9. Find the first derivative of 11*w - 15*w + 11*w**o + 3 + 4*w wrt w.
22*w
Suppose -5*i = 20, -y + 2*y + 3 = -i. Find the second derivative of -12*h**4 - y - 32*h + 51*h**4 + 1 wrt h.
468*h**2
Let k(j) = -j**2 + j + 1. Let a(l) = 47*l**3 - 2*l**2 + 23*l + 2. Let q(m) = -a(m) + 2*k(m). What is the second derivative of q(v) wrt v?
-282*v
Let z(c) be the first derivative of 0*c**4 - 40 + 0*c**5 + 0*c + 7/3*c**3 - 5/2*c**6 + 0*c**2. What is the third derivative of z(l) wrt l?
-900*l**2
Let x(j) = 343*j**4 - 6*j**3 - 12*j**2 + 215. Let r(s) = -s**4 + s**3 + 2*s**2 + 3. Let w(c) = -6*r(c) - x(c). Differentiate w(v) with respect to v.
-1348*v**3
Let l(q) = 2*q - 14. Let a be l(8). What is the second derivative of -6*v**3 - 10*v**3 - 2*v**3 + v + a*v wrt v?
-108*v
Let l(f) be the third derivative of 0*f + 17*f**2 + 7/30*f**5 + 1/120*f**6 + 0*f**4 + 0*f**3 + 0. What is the third derivative of l(z) wrt z?
6
Let h be (-356)/(-6)*(-27)/(-18). Find the third derivative of 30*w**6 - 24*w**2 + 29*w**6 - h*w**6 wrt w.
-3600*w**3
Suppose 0 = -b + 4*n + 22, 0 = -4*b + 2*n - 0*n + 18. What is the second derivative of 54*v + 0 + 36*v**5 - b*v**3 - 55*v + 1 wrt v?
720*v**3 - 12*v
Let q = -14 + 17. Suppose 4*h - q = 5. What is the third derivative of 10*c**5 - 2*c**5 + 0*c**5 + 9*c**2 + h*c**2 wrt c?
480*c**2
Let l(o) be the second derivative of 143*o**5/20 + 50*o**2 + 7*o - 11. Find the first derivative of l(f) wrt f.
429*f**2
Let j(f) be the third derivative of -37*f**4/3 - 55*f**3/3 - 39*f**2 - 3*f. What is the derivative of j(g) wrt g?
-296
Let v(i) = 13*i + 5. Let l be v(5). Let m be (-3 + 1)/((-20)/l). Differentiate -m*q - 3*q**3 + 7*q + 5 wrt q.
-9*q**2
What is the third derivative of 95*i**2 + 2482*i**3 - 446*i**5 - 2482*i**3 - 4 + 5 + 37*i**2 wrt i?
-26760*i**2
Let d(p) be the first derivative of p**4/4 + 33*p**3 + 47*p**2 - 2*p + 106. What is the second derivative of d(r) wrt r?
6*r + 198
Let h(g) be the second derivative of -44*g**5/5 - 155*g**4/12 + 2*g + 148. Find the third derivative of h(p) wrt p.
-1056
What is the second derivative of -16*z**2 + 84*z**3 + 24*z**2 + 0 + 2 - 11*z**2 - 14*z wrt z?
504*z - 6
Let l(p) be the second derivative of 0*p**4 - p - 15/2*p**2 + 0*p**3 - 3/20*p**5 + 0. What is the derivative of l(a) wrt a?
-9*a**2
Suppose -b = 2*s - 2, 5*s = -2*b + 4*b + 14. What is the third derivative of 53 + 10*x**s + 48 - 101 + 43*x**4 wrt x?
1032*x
Let d(u) = -u**3 - u**2 + 3*u + 1. Let s be d(-3). Let h = s - 7. Differentiate 4 - 5*j**2 - 3 - h wrt j.
-10*j
Let s(t) = -6*t**4 + 4*t**3 + 39*t**2 + 4*t - 102. Let z(d) = -17*d**4 + 11*d**3 + 118*d**2 + 11*d - 307. Let l(y) = 11*s(y) - 4*z(y). Differentiate l(g) wrt g.
8*g**3 - 86*g
Let l(d) be the first derivative of d**8/560 + 3*d**5/40 + 8*d**3/3 + 7. Let g(z) be the third derivative