t d.
108
Let n(j) = j**2 + 5*j + 8. Let z be n(-5). Let r = z + -2. Find the second derivative of -r*t + 6*t**2 + 3*t**2 - 3*t wrt t.
18
Let b(i) be the second derivative of -3/2*i**2 + 3/5*i**5 + 0 - 3*i + 0*i**3 + 0*i**4. Find the first derivative of b(x) wrt x.
36*x**2
Let z = 58 + -56. Differentiate 2 - 7 - 11 - z - 11*d with respect to d.
-11
Let l(m) = 187*m**4 - 2*m**3 - 2*m**2 - 40*m + 5. Let y(n) = n**4 + n**3 + n**2 - 2*n. Let c(b) = l(b) + 2*y(b). Find the second derivative of c(d) wrt d.
2268*d**2
Suppose -5*g + 29 = -r, 3*r + 2*r = 5. Let d(a) = -a + 8. Let t be d(g). Differentiate t*u**3 + 5 + 3 - 13 with respect to u.
6*u**2
Let y(m) be the first derivative of -8*m**6/3 - 95*m**3/3 - 82. Find the third derivative of y(o) wrt o.
-960*o**2
Let x = 5 + 2. Let w(p) = -10*p**2 + 9*p. Let s(v) = 20*v**2 - 18*v. Let g(h) = x*w(h) + 3*s(h). Find the second derivative of g(i) wrt i.
-20
Let v(o) = -4*o - 6. Let w be v(-4). What is the first derivative of -w*k**3 - 5 + k**3 - k**3 wrt k?
-30*k**2
Suppose 3 = -k - d, k - 5*d = 7 + 8. Suppose k = -5*q + 4*b + 21, 2*q - 2*b = -2*q + 18. Differentiate 0*v**4 + 0*v**4 + 4 - q*v**4 + 0*v**4 wrt v.
-20*v**3
Let i(u) = -3*u - 3. Let h be i(-5). Find the third derivative of -13*j**5 - 56 + 56 - h*j**2 wrt j.
-780*j**2
Let o(x) = 1. Let t(g) be the first derivative of 3*g**2 - 8*g + 16. Let r(p) = -4*o(p) + 2*t(p). Find the first derivative of r(k) wrt k.
12
Let g(m) be the second derivative of -3*m**4/2 + 5*m**3/6 + 28*m**2 + 41*m. What is the first derivative of g(a) wrt a?
-36*a + 5
Let i(x) be the third derivative of -187*x**6/120 + 29*x**5/20 - 5*x**2 + 28*x. Find the third derivative of i(q) wrt q.
-1122
Let n(q) = q**2 - 8*q + 14. Let c be n(6). What is the third derivative of -17*s**6 + 278*s - 278*s + 4*s**c wrt s?
-2040*s**3
Let o(p) be the second derivative of p**7/252 - p**6/180 - p**4/3 - 6*p. Let a(j) be the third derivative of o(j). What is the second derivative of a(f) wrt f?
20
Let d(a) = a**3 - a**2 + 4*a - 5. Let p be d(3). What is the first derivative of p + 3045*z**2 + 7*z**4 - 3045*z**2 wrt z?
28*z**3
Let t(u) = 144*u**3 + 12*u**2 - 3*u + 114. Let j(a) = -288*a**3 - 27*a**2 + 7*a - 227. Let d(r) = -4*j(r) - 9*t(r). What is the second derivative of d(p) wrt p?
-864*p
Let v(o) be the third derivative of -o**8/560 - o**5/30 - 2*o**4/3 - o**2. Let h(a) be the second derivative of v(a). Find the first derivative of h(j) wrt j.
-36*j**2
Differentiate 115*z + 34*z - 110 + z**2 - 214*z wrt z.
2*z - 65
Suppose 0 = -h + 2 - 10. Let l = h - -14. Differentiate 0 - 7 - l*u**2 - u + u with respect to u.
-12*u
Let i(j) = j**2 + j. Let d(c) = -c**3 + 32*c**2 - 125*c. Let l(h) = -d(h) - i(h). What is the second derivative of l(a) wrt a?
6*a - 66
Let c(b) be the first derivative of -53*b**4/2 + 53*b**2 - 110. What is the second derivative of c(y) wrt y?
-636*y
Let m(y) be the third derivative of -53*y**5/5 + 176*y**3/3 + 435*y**2. What is the derivative of m(b) wrt b?
-1272*b
Let p(o) be the first derivative of 3*o**5/5 + o**4/4 - 23*o - 38. What is the first derivative of p(c) wrt c?
12*c**3 + 3*c**2
Let c(m) be the first derivative of -652*m**5/5 - 403*m - 450. Differentiate c(k) with respect to k.
-2608*k**3
Suppose -4 = 8*v - 10*v. Let t = 4 + -3. What is the derivative of t - 2 - v*j**3 - 1 + 3*j**3 wrt j?
3*j**2
Let m be ((-24)/(-32))/(6/16). What is the third derivative of 10*a**3 - 19*a**3 - 2*a**m - 5*a**2 wrt a?
-54
Let r be (3/1)/(2/2). Find the third derivative of 3*n**2 - 8*n**3 - n**2 - r*n**2 wrt n.
-48
Suppose -2*r - 54 = r - 3*d, 3*r - 5*d = -62. Let j = -9 - r. Find the second derivative of l - 2*l**3 - 2*l**3 - j*l - 2*l wrt l.
-24*l
Let f(o) be the third derivative of -o**5/60 - o**4/4 - 5*o**3/6 + 2*o**2. Let p(m) be the first derivative of f(m). What is the first derivative of p(g) wrt g?
-2
Suppose 2*y = -2 + 20. What is the first derivative of -8 - y*g**2 + g**2 + g**2 wrt g?
-14*g
Let h = 972 + -972. Let r(n) be the second derivative of -2*n**2 + 0*n**4 + h*n**5 + 13/30*n**6 + 8*n + 0*n**3 + 0. Find the first derivative of r(x) wrt x.
52*x**3
Let g = 82 + -66. What is the derivative of -g*t - 29 - 13*t + 18*t wrt t?
-11
Find the second derivative of -240*c - 1574*c**2 + 3146*c**2 - 1572*c**2 - 236*c**3 wrt c.
-1416*c
Let x(a) be the third derivative of -13*a**7/70 + a**6/60 - 65*a**3/2 - 97*a**2. What is the first derivative of x(f) wrt f?
-156*f**3 + 6*f**2
Differentiate 10*m**2 + 143 - 1099*m**3 - 1106*m**3 + 2201*m**3 wrt m.
-12*m**2 + 20*m
Let y(o) = 83*o - 12. Let p(r) = -83*r + 14. Let v(x) = 3*p(x) + 2*y(x). Find the first derivative of v(z) wrt z.
-83
Find the second derivative of 48*k + 21*k**3 + 7*k**3 + 17*k**3 + 6*k**3 wrt k.
306*k
Let t = 102 + -90. Find the first derivative of -5*v**4 + 1 - 9*v**4 - t - 4 wrt v.
-56*v**3
Let a be -6*(-1)/(-2) - -2. Let o be a/((-6)/(-4) - 2). What is the derivative of -2*i**4 - o + 1 + 3 - 1 wrt i?
-8*i**3
Let b be (-1)/(-2)*(7 - 3). Let u = -5 + 10. What is the first derivative of u - 2*q**3 - 3 + b wrt q?
-6*q**2
Let m(i) be the third derivative of 7*i**6/120 - 5*i**4/24 - 46*i**3/3 - 36*i**2. What is the derivative of m(v) wrt v?
21*v**2 - 5
Let u(n) = 434*n**4 + 5*n**3 + 179*n. Let y(m) = 651*m**4 + 8*m**3 + 268*m. Let w(q) = 8*u(q) - 5*y(q). Find the second derivative of w(j) wrt j.
2604*j**2
Let p(o) be the second derivative of -1/3*o**3 - 1 - 1/2*o**4 + 24*o + 0*o**2 + 7/20*o**5. What is the third derivative of p(n) wrt n?
42
Let t = 16 + -12. What is the second derivative of -2*c**4 + 0*c - 4*c - c**4 + 15*c**t wrt c?
144*c**2
Let c(a) = 265*a**2 + 201*a + 8. Let j(l) = 5*l**2 + 2. Let w(i) = c(i) - 4*j(i). What is the second derivative of w(r) wrt r?
490
Let r(d) = -d**3 - 12*d**2 - d - 8. Let l be r(-12). What is the third derivative of -7*t**l - 13*t**2 - t**4 - 7*t**4 wrt t?
-360*t
Let a(s) be the second derivative of -130*s**3/3 - 163*s**2/2 + 2*s - 79. Find the first derivative of a(h) wrt h.
-260
Let u(j) = -6*j**3 - j. Let w(l) = 40*l - 11*l**3 - 40*l + 5*l**3. Let k(z) = -5*u(z) + 6*w(z). Find the second derivative of k(s) wrt s.
-36*s
Let x(g) be the third derivative of 293*g**7/210 - 365*g**3/6 + 243*g**2. Find the first derivative of x(z) wrt z.
1172*z**3
Suppose -5*w + 20 = 0, 3*f - 3*w + 20 = 5*f. Suppose -9*a + f*a = 0. Find the third derivative of 2*g**4 + 5*g**4 - g**4 - 3*g**2 + a*g**4 wrt g.
144*g
Let k(u) be the second derivative of 149*u**6/30 - 7*u**2 - 12*u - 1. What is the derivative of k(c) wrt c?
596*c**3
Let r(i) be the third derivative of 8*i + 0*i**4 + 11/40*i**6 + 0*i**5 + 0 - 5*i**2 + 25/6*i**3. What is the first derivative of r(y) wrt y?
99*y**2
Let y(f) = -3*f - 32. Let b be y(-12). Let v(a) = 9*a**2 + a - 1. Let n be v(2). Find the second derivative of -3*d**b + 37*d**2 + 3*d - n*d**2 wrt d.
-36*d**2
Suppose 4*n + 4*z - 92 = -n, -30 = -2*n - 5*z. Differentiate -12 - 9 - 8 + 12 + n*p with respect to p.
20
Let u(g) be the first derivative of -47*g**4/4 - 46*g + 301. Differentiate u(j) with respect to j.
-141*j**2
Let h(l) be the third derivative of 0*l**4 + 0*l + 2/105*l**7 + 0*l**3 + 0 + 1/4*l**5 - 8*l**2 + 0*l**6. Find the third derivative of h(b) wrt b.
96*b
Let v(s) be the second derivative of -47*s**6/15 - s**5/10 + 78*s**2 + 24*s. What is the derivative of v(d) wrt d?
-376*d**3 - 6*d**2
What is the first derivative of -3419 + 6650 - 3346 - 311*o**4 wrt o?
-1244*o**3
Let n(s) be the first derivative of -19*s**6/30 + 7*s**2 - 2*s + 14. Let d(x) be the first derivative of n(x). What is the first derivative of d(c) wrt c?
-76*c**3
Let n(b) = -620*b**2 - 201*b - 4. Let w(k) = 621*k**2 + 203*k + 3. Let h(p) = -3*n(p) - 4*w(p). Find the second derivative of h(r) wrt r.
-1248
Find the first derivative of -210*q**3 - 71 - 824*q**2 + 824*q**2 wrt q.
-630*q**2
Suppose 23 = -5*y - 52. Let s = y - -17. What is the third derivative of 0*j**s - 3*j**2 + 12*j**6 + 2*j**2 - 16*j**6 wrt j?
-480*j**3
Let b(p) be the first derivative of -2*p**6/15 - 16*p**3/3 + 19*p**2/2 - 29. Let g(v) be the second derivative of b(v). Differentiate g(c) wrt c.
-48*c**2
Let f(o) = o**3 - 7*o**2 + 5*o - 9. Let x be f(7). Differentiate x*y**4 + y**4 + 20 - y**3 + y**3 wrt y.
108*y**3
Let m(o) be the third deriv