y + 0*y**2 + 16*y**3 - 1/4*y**4. Find the first derivative of u(t) wrt t.
-3*t**2 + 96*t
Let b(z) be the second derivative of -5*z**8/14 + 2*z**7/21 - 175*z**4/6 - z - 58. Find the third derivative of b(y) wrt y.
-2400*y**3 + 240*y**2
Suppose -4*n - o - 4*o = -8160, -o - 8136 = -4*n. Find the first derivative of -n - 20*v**4 - 7*v**4 + 2071 wrt v.
-108*v**3
Let d be ((-6)/5)/((-6)/15). Let i be (d/2)/((-9)/(-12)). Differentiate 62*g + 7 - 62*g - 7*g**i wrt g.
-14*g
What is the second derivative of -13*m - 310*m**2 + 104*m**2 - 35*m + 8*m - 37*m wrt m?
-412
Let l(j) be the first derivative of -50*j**2 - 78*j - 49. Differentiate l(g) wrt g.
-100
Find the first derivative of 59 + 89 - 48 + 86*q**4 + 50 + q**2 + 182*q**4 wrt q.
1072*q**3 + 2*q
Let q(s) = 11*s**2 + 12*s + 37. Let o(v) = v**2 + 4*v. Let m(b) = -3*o(b) + q(b). Differentiate m(h) with respect to h.
16*h
Let z(v) = v**4 - v**2. Let u(g) = 488*g**4 - 12*g**2 + 394*g. Let o(p) = -u(p) + 12*z(p). What is the second derivative of o(a) wrt a?
-5712*a**2
Let q(v) be the first derivative of -16 - 8*v + 0*v**2 + 0*v**3 + 1/2*v**4. Differentiate q(f) wrt f.
6*f**2
Suppose -4*y + 6*y = 4. Suppose 4*t - 39 = 3*a, 0*t + 5*t + y*a = 20. Find the second derivative of -33 + t*q + 33 + 6*q**2 wrt q.
12
Let y(l) = -1330*l**4 - 11*l**2 - 11*l - 617. Let v(m) = 333*m**4 + 3*m**2 + 3*m + 154. Let s(o) = 11*v(o) + 3*y(o). Differentiate s(g) wrt g.
-1308*g**3
Let f = 66 - 72. Let o(j) = 16*j**3 - 9*j**2 - 5. Let s(r) = -17*r**3 + 10*r**2 + 6. Let h(z) = f*o(z) - 5*s(z). Find the third derivative of h(l) wrt l.
-66
Let s be (-8)/5*(-10)/4. Let p be 12*(-3)/(-36)*s. Find the second derivative of 3*k - 2*k**p + 3*k**4 - 2*k + 4*k**4 wrt k.
60*k**2
Let u(b) be the third derivative of 0*b + 14*b**2 + 0*b**4 + 7*b**3 + 0 + 1/5*b**5. What is the derivative of u(y) wrt y?
24*y
What is the second derivative of -1211*u + 1686*u + 151*u**4 + 307*u**4 - 841*u - 5*u**4 wrt u?
5436*u**2
Let i(l) be the first derivative of -l**4/4 - 2*l**3/3 - 24*l**2 + 2*l - 102. What is the second derivative of i(s) wrt s?
-6*s - 4
Let n(o) be the third derivative of o**7/56 - o**4/6 + o**3/2 + 17*o**2. Let b(s) be the first derivative of n(s). Differentiate b(d) wrt d.
45*d**2
Let t(o) = 6*o**2 + 5. Let x(y) = -6 - 6 + 0*y**2 - 7*y**2 + 6. Let s(u) = -2*t(u) - 3*x(u). What is the derivative of s(h) wrt h?
18*h
Let h(i) = -30*i**4 + 3*i**2 + 9*i. Let v(y) = 28*y**4 - 2*y**2 - 11*y. Let r(a) = -6*h(a) - 5*v(a). What is the third derivative of r(m) wrt m?
960*m
Let c(z) be the first derivative of -19*z**4/4 - 2*z**3/3 + 11*z**2 + 81. What is the third derivative of c(b) wrt b?
-114
Let i(j) = -5*j**3 - 87*j**2 + 5*j - 115. Let r(q) = 2*q**3 + 43*q**2 - 2*q + 58. Let a(p) = -4*i(p) - 9*r(p). What is the second derivative of a(n) wrt n?
12*n - 78
Let m(f) be the second derivative of f**5/2 + f**4/12 + 57*f**2 + 96*f. Differentiate m(n) with respect to n.
30*n**2 + 2*n
Suppose 5*l + 39 = 8*l. Let z(d) = -d**2 + 13*d + 2. Let h be z(l). What is the derivative of -5*n**2 - 10 - 3*n**2 - 2*n**h wrt n?
-20*n
Let s = -55 - -57. What is the second derivative of 145 + 4*a**2 - 3*a**s - 34*a - 145 wrt a?
2
Let r(p) be the third derivative of -7/3*p**3 + 0 + 0*p**5 + 0*p**4 - 13/120*p**6 + 0*p + 8*p**2. What is the first derivative of r(w) wrt w?
-39*w**2
Let a(j) = -78*j + 147. Let b(v) = -11*v + 21. Suppose i - 20 = -35. Let x(w) = i*b(w) + 2*a(w). Differentiate x(r) wrt r.
9
Suppose 12 = 12*f - 36. Let s(w) be the first derivative of 6 + 0*w**3 + 6*w + 0*w**f + 0*w**2 + 3/5*w**5. Find the first derivative of s(a) wrt a.
12*a**3
Let n(m) = -13*m**3 + 15*m**2 + 5*m + 3. Let i(v) = 14*v**3 - 16*v**2 - 6*v - 4. Let a(u) = 5*i(u) + 6*n(u). Find the third derivative of a(d) wrt d.
-48
Find the second derivative of -t**2 - 233*t + t**2 + 352*t - 284*t**3 wrt t.
-1704*t
Let g(s) = 831*s**2 - 11*s - 1117. Let p(t) = 279*t**2 - 4*t - 372. Let n(q) = -4*g(q) + 11*p(q). Differentiate n(m) wrt m.
-510*m
Let x(w) be the first derivative of -31/3*w**3 - 8 + 43/2*w**2 + 0*w. What is the second derivative of x(a) wrt a?
-62
Let k(q) be the first derivative of -10*q**6/3 - 3*q**5/5 - 638*q**3/3 - 7. What is the third derivative of k(n) wrt n?
-1200*n**2 - 72*n
Suppose 3*q + w = 22, -2*q = -7*q + 5*w + 50. Suppose 0 = r - q. What is the second derivative of -2*o - 37*o**2 + 37*o**2 - 4*o - r*o**4 wrt o?
-96*o**2
Let f(i) be the first derivative of i**6/60 + i**4/4 - 2*i**2 + 6. Let v(p) be the second derivative of f(p). Find the second derivative of v(x) wrt x.
12*x
Let u(t) = -105*t**3 - 3*t**2 + 14*t. Let z(l) = 316*l**3 + 8*l**2 - 42*l. Let p(x) = -11*u(x) - 4*z(x). Find the third derivative of p(w) wrt w.
-654
Suppose -4*l = 4*y + 15 - 43, l + 5*y - 19 = 0. What is the first derivative of d**4 + 77 - 76 - 3*d**l wrt d?
-8*d**3
Let i be -1 - (-2 - -2 - 0). Let z be -3 - i - (0 + -4). Find the second derivative of -10*d**2 + 10*d**2 + z*d - 5*d**3 wrt d.
-30*d
Suppose 11*y - 4*y = 154. What is the derivative of -9*p**4 + 58*p**2 - 7*p**4 - y - 58*p**2 wrt p?
-64*p**3
Let f = -37 - -40. What is the second derivative of 14*c + 2*c**f - 41*c + 14*c**5 - 2*c**3 wrt c?
280*c**3
Let f(t) = 162*t**4 - 4*t**3 - 4*t**2 - 104. Let j(k) = 3*k**4 + k**3 + k**2 + 1. Let o(q) = f(q) + 4*j(q). What is the first derivative of o(a) wrt a?
696*a**3
Let n(j) be the second derivative of -j**9/28 + 19*j**5/60 - 3*j**2 - 15*j. Let r(l) be the first derivative of n(l). Find the third derivative of r(g) wrt g.
-2160*g**3
Let d = 12 + -15. Let n be -4*(-4)/(-12)*d. Find the third derivative of 3*j**2 - 3*j**n + 3*j**5 + 3*j**4 wrt j.
180*j**2
Let c(a) = -a. Let m be c(0). Suppose m = 5*o - 26 + 6. What is the third derivative of 3*i**2 - 2*i**4 - 3*i**4 + 0*i**4 + 7*i**o wrt i?
48*i
What is the derivative of 0*d + 35*d**4 + 5*d**4 + 86 + d wrt d?
160*d**3 + 1
Let j(v) = v**2 + 6. Let a be j(0). Suppose 4*n + n = q + 11, n - 4*q - a = 0. Find the second derivative of 5 - 2*s**n - 3 - 4*s - 2 wrt s.
-4
Let a be (-100)/(-12) + (-2)/(-3). Let u(h) = 5 - 10 - 8 + 8*h**3. Let f(z) = 4*z**3 - 6. Let n(x) = a*f(x) - 4*u(x). Find the first derivative of n(t) wrt t.
12*t**2
Let p(x) be the third derivative of 1/3*x**4 - 10*x**2 + 0 + 4/3*x**3 + 0*x. What is the derivative of p(b) wrt b?
8
Let c(v) be the first derivative of -4*v**5/5 + 5*v**3/3 - 430*v + 448. What is the derivative of c(n) wrt n?
-16*n**3 + 10*n
Let g be (-2)/5 + 126/15. Suppose o - 2*o = -g. Find the third derivative of -431*r**3 + 431*r**3 - o*r**2 - 7*r**5 wrt r.
-420*r**2
Let m(w) be the first derivative of -167*w**7/7 + 3*w**4/4 - 9*w**3 + 13*w**2/2 - 711. What is the third derivative of m(n) wrt n?
-20040*n**3 + 18
Suppose 4*v - 28 = -4*k, -4*k + 0 + 4 = 0. Find the third derivative of -60*g**2 - 4*g**v - 4*g**6 + 0*g**6 + 57*g**2 wrt g.
-960*g**3
Let x = -8 - -12. Suppose x*m + 1 = 2*d + 5, 5*m - d - 11 = 0. What is the third derivative of -f**2 - 2*f**2 + f**2 + f**3 + f**m wrt f?
12
Let d(z) be the second derivative of -93*z**7/14 - 283*z**3/6 - 215*z. Find the second derivative of d(w) wrt w.
-5580*w**3
Let v be (-2)/9 + (-200)/(-90). Find the third derivative of 3 - 7*x**v - 10 + 7 + 11*x**4 wrt x.
264*x
Let w(x) be the first derivative of 169*x**2 + 138*x - 494. Differentiate w(d) wrt d.
338
Let f be (-2)/(-9) + (-80)/(-45). Let x be (14/(-21))/(f/(-18)). Differentiate x*j**4 - 5 + 84*j**2 - 84*j**2 with respect to j.
24*j**3
What is the third derivative of 23*m**6 + 7*m**2 + 127*m**5 + 4*m**3 - 127*m**5 wrt m?
2760*m**3 + 24
Let f(j) be the first derivative of -1/3*j**4 + 0*j**2 - 1/2*j**3 - 8*j - 8. Let t(s) be the first derivative of f(s). Find the second derivative of t(q) wrt q.
-8
Find the first derivative of 99 + 21 - 2*n**2 + n**2 - 337*n**3 + 331*n**3 wrt n.
-18*n**2 - 2*n
Let p(i) = -48*i**4 + 7*i**2 - 50. Let k(o) = 32*o**4 - 5*o**2 + 33. Let q = -148 + 153. Let w(n) = q*p(n) + 7*k(n). What is the first derivative of w(c) wrt c?
-64*c**3
Let x(w) be the first derivative of -275*w**2 - 898*w - 884. Find the first derivative of x(q) wrt q.
-550
Let x(n) be the third derivative of -123*n**8/112 + 235*n**4/8 + 90*n**2. Find the second derivative of x(z) wrt z.
-7380*z**3
Let q = 112 - 112. Let p(f) be the se