x**3 - 2*x
Let q(t) = -26*t**2 - 5*t + 1. Let n(r) = 13*r**2 + 2*r. Suppose -15 = -2*v - v. Let b(g) = v*n(g) + 2*q(g). Find the first derivative of b(p) wrt p.
26*p
Let o(r) be the second derivative of r**8/28 - 23*r**7/21 - 7*r**4/6 + r**3 + 45*r. What is the third derivative of o(p) wrt p?
240*p**3 - 2760*p**2
Let f(r) = -28*r**2 - 20*r - 7. Let u(y) = 29*y**2 + 21*y + 8. Let v(k) = -5*f(k) - 4*u(k). Find the second derivative of v(a) wrt a.
48
Let b = -42 + 73. Find the second derivative of -3440*g**4 - 6*g + b*g**5 + 3440*g**4 wrt g.
620*g**3
Let z(a) be the first derivative of -7*a**6/30 - a**4/4 - 2*a + 14. Let i(y) be the first derivative of z(y). What is the third derivative of i(n) wrt n?
-168*n
Find the first derivative of -6*q - 191*q + 13*q + 438 + 9*q wrt q.
-175
Let u(s) be the first derivative of -s**4/6 - 2*s**3 + 14*s - 15. Let t(m) be the first derivative of u(m). What is the second derivative of t(n) wrt n?
-4
Let n(q) be the second derivative of q**6/15 + 4*q**5/5 + q**3/6 + 35*q**2/2 - 8*q - 16. Find the second derivative of n(z) wrt z.
24*z**2 + 96*z
Suppose 4*u - 24 = f, -2*u - 12 = -4*u + 5*f. What is the second derivative of -48 - 2*z + u*z**2 + 35 + 0*z + 14*z**2 wrt z?
40
Let p(z) = -15*z**2 - 6*z - 77. Let q(b) = 16*b**2 + 5*b + 77. Let h(m) = 5*p(m) + 6*q(m). What is the first derivative of h(g) wrt g?
42*g
Let a be (-20)/(-14)*(17 + -10). What is the third derivative of 7*l**2 - a*l**6 + 6*l**4 - 2*l**4 - 4*l**4 wrt l?
-1200*l**3
Let m(d) = -d**2 - 2. Let x(y) = 97*y**2 + 2*y - 110. Let i(q) = 2*m(q) - x(q). Find the second derivative of i(l) wrt l.
-198
Let x(d) be the second derivative of -d**10/30240 - d**7/840 - d**4/3 + 3*d. Let j(c) be the third derivative of x(c). Find the third derivative of j(i) wrt i.
-60*i**2
What is the second derivative of 9*l - 31*l + 136*l + 86*l + 10*l**2 + 28*l wrt l?
20
Let h(y) = 21*y**2 + 226. Let c(q) = 19*q**2 + 223. Let u(r) = -4*c(r) + 3*h(r). Find the first derivative of u(x) wrt x.
-26*x
Let t = -12 - -17. What is the third derivative of d**2 - 10*d**2 + 8*d**5 - 5*d**t wrt d?
180*d**2
Find the third derivative of -44*h**4 + 1 - 204*h**4 + 318*h**4 + 331*h**4 + 366*h**4 - 165*h**2 wrt h.
18408*h
Let g(z) be the second derivative of -3/4*z**4 + 0*z**2 + 3/20*z**5 + 0*z**3 + 0 + 12*z. Find the third derivative of g(f) wrt f.
18
What is the second derivative of 325*g - 38100 + 38100 - 333*g**2 wrt g?
-666
Let v be (4/(-12))/((-1)/9). Suppose -2*j = -t + 4*t - 15, v*j = 4*t - 37. What is the second derivative of -2*z - t*z**2 + 12*z**2 - 5*z**2 + 2*z**4 wrt z?
24*z**2
Let u(f) be the second derivative of 16*f**6/15 + 66*f**2 - 121*f + 2. What is the first derivative of u(j) wrt j?
128*j**3
Find the third derivative of -n**2 + n - n + 5*n**2 - 5 - 420*n**4 + 157*n**4 wrt n.
-6312*n
Let v(h) be the first derivative of 7*h**6/30 + h**3/3 - h + 14. Let k(d) be the first derivative of v(d). What is the second derivative of k(q) wrt q?
84*q**2
Let l(d) = -4*d**2 - 15*d - 2 - 6*d**2 + 14*d**2. Let n(v) = -v**2 + v - 1. Let y(o) = -l(o) + 2*n(o). What is the second derivative of y(i) wrt i?
-12
Let p(v) be the second derivative of -v**7/42 - v**6/30 - 241*v**4/12 - 33*v. What is the third derivative of p(x) wrt x?
-60*x**2 - 24*x
Let h(p) = -3*p**3 - 13*p**2 - 9*p + 1. Let c(b) = -2*b**2 - b. Let f(a) = -10*c(a) + 2*h(a). What is the second derivative of f(i) wrt i?
-36*i - 12
Let w be 1 - 3 - -3 - -2. What is the derivative of 5 + 7 + 2*i**w + 4*i**3 wrt i?
18*i**2
Let h(q) be the third derivative of 0*q**3 + 0*q**6 + 19/24*q**4 + 2/105*q**7 + 0*q + 0*q**5 + 0 - 14*q**2. What is the second derivative of h(f) wrt f?
48*f**2
Let i(a) be the second derivative of 0*a**3 + 0 + 14*a + 5/3*a**4 - 5/2*a**2. What is the first derivative of i(t) wrt t?
40*t
Let u be 10/(-3)*18/(-5). Let w = u + -8. Find the third derivative of r**2 - 4*r**2 - 8*r**w + r**2 + 9*r**2 wrt r.
-192*r
Suppose 0 = 7*m + 8 - 29. Suppose 0 = o - 2*o + 5. Find the second derivative of 0*t - 2*t**o - t - m*t + 5*t**5 wrt t.
60*t**3
Let f(b) = -6*b**3 + 4*b**2 + 5*b + 5. Let o be f(-3). What is the derivative of 9*k**2 + 199 - o - 2*k**2 wrt k?
14*k
Suppose 3*x + 2*i - 24 = 0, 3*x = 5*x - 3*i - 3. Find the third derivative of 27*q**6 + 17*q**2 + 22*q**x - 9*q**6 wrt q.
4800*q**3
Let u(s) = 8*s - 120 + 62 + 23*s**4 + 40. Let k(j) = 15*j**4 + 5*j - 12. Let n(w) = 8*k(w) - 5*u(w). Differentiate n(x) wrt x.
20*x**3
Let g be 1/(395/(-100) + 4). Suppose 0 = -5*f - 3*a - a + 25, -3*a - g = -4*f. Find the second derivative of 6*w**5 + 7*w + 0*w**f - 3*w + 4*w wrt w.
120*w**3
Let g(a) be the second derivative of 0 - 7/10*a**5 + 0*a**3 + 17*a + 15/2*a**2 + 0*a**4. Find the first derivative of g(n) wrt n.
-42*n**2
Let y be ((-8)/(-12))/((-2)/(-108)). Suppose 4*r - 48 = -2*d, 2 + 4 = r - d. What is the third derivative of 11*h**5 + y*h + r*h**2 - 36*h wrt h?
660*h**2
Let l(w) = w**4 + 1. Let h(u) = -11*u**4 + 12*u**2 + 500. Let r(x) = h(x) - 4*l(x). What is the first derivative of r(t) wrt t?
-60*t**3 + 24*t
Let n(h) = h**4 + 32*h**3 - 9*h**2 - 23*h. Let u(d) = -d**2 + d. Let y(v) = n(v) - 6*u(v). Find the third derivative of y(o) wrt o.
24*o + 192
What is the derivative of -52*u**2 - 5*u + 28*u**2 + 111 + 20*u**2 wrt u?
-8*u - 5
Let r(h) be the second derivative of 2*h**6/15 - 19*h**5/20 + h**4/6 + 5*h**2 + 186*h. Find the third derivative of r(u) wrt u.
96*u - 114
Let m be (-21)/6*16/(-14). Find the first derivative of 15*g**4 - 11*g**m - 2 + 9 wrt g.
16*g**3
Find the second derivative of 17*t + 44*t**3 + 41*t + 44*t - 13*t wrt t.
264*t
Let j(v) be the first derivative of v**5/15 + v**4/8 - 10*v**3/3 + 10. Let g(o) be the third derivative of j(o). Differentiate g(u) wrt u.
8
Let w(k) = -890*k**4 - 453*k**2 - 9*k - 9. Let h(n) = -445*n**4 - 228*n**2 - 4*n - 4. Let y(c) = 9*h(c) - 4*w(c). What is the third derivative of y(u) wrt u?
-10680*u
Let p(d) be the first derivative of -24*d**2 - 30*d + 29. Differentiate p(n) wrt n.
-48
Differentiate -45 - 124 + 113*w + 269*w**2 - 268*w**2 - 52 wrt w.
2*w + 113
Let l(c) = -93*c**2 - 131*c. Let w(r) = -92*r**2 - 131*r. Let n(u) = -7*l(u) + 6*w(u). Find the second derivative of n(y) wrt y.
198
Let o(j) be the first derivative of -2*j**7/7 + 47*j**5/5 - j**3/3 - 27*j**2 - 44. Find the third derivative of o(l) wrt l.
-240*l**3 + 1128*l
Let p(q) = -302*q**4 - 3*q**3 + 478. Let w(f) = -301*f**4 - 4*f**3 + 481. Let u(c) = 4*p(c) - 3*w(c). Differentiate u(y) with respect to y.
-1220*y**3
Let o be (((-300)/9)/4 - -2)*-3. Find the third derivative of -22*j + o*j**2 - 2*j**3 + 22*j + 10*j**3 wrt j.
48
Let d(g) be the first derivative of 241*g**3/3 + 59*g**2 - 268. Find the second derivative of d(i) wrt i.
482
Find the third derivative of 42*x**3 - 59*x**3 - 256*x**2 + 125*x**3 - x**4 - 197*x**2 wrt x.
-24*x + 648
Suppose 4*h - 20 = 4*r - 4, -5*h = 2*r - 6. Let c be 7 + -1 - (-8)/r. What is the second derivative of 8*m + 6*m**2 - c*m + m**2 wrt m?
14
What is the second derivative of -79*r**3 + 49993*r - 50021*r + 13*r**3 wrt r?
-396*r
Let v(q) be the first derivative of 0*q**5 - 21/2*q**2 + 0*q + 0*q**4 - 9/2*q**6 + 11 + 0*q**3. Find the second derivative of v(d) wrt d.
-540*d**3
Let b(x) be the first derivative of 15*x**4/4 - x**2 + 5*x + 93. What is the second derivative of b(v) wrt v?
90*v
Suppose 4*g - 20 = -4*y, 4*g - y = -0*g + 15. Suppose -5*z = -5*h - 2 - 3, 5*z - 41 = -g*h. Find the second derivative of -h - 5*l + 2*l**4 + 4 wrt l.
24*l**2
Let t(k) = 616*k + 224. Let n(f) = f + 6. Let u(h) = 16*n(h) + t(h). What is the derivative of u(c) wrt c?
632
Let s be 18/4 - (-3)/2 - -1. Differentiate -7*d + s*d + 15 - 12*d**4 - d**4 wrt d.
-52*d**3
Suppose 0 = -2*b + 4*n + 6, n - 2 = -0. Differentiate b*k**2 + 3 + 0 + 3 with respect to k.
14*k
Let t(z) be the first derivative of -3*z**4 + 2*z**3/3 - 185*z**2/2 + 136. Find the second derivative of t(r) wrt r.
-72*r + 4
Let n(z) be the second derivative of 0*z**3 + 3/4*z**5 + 0 + 0*z**2 - 4/3*z**4 + 17*z. Find the third derivative of n(r) wrt r.
90
Let o(g) be the first derivative of 5/2*g**4 + 0*g**2 + 12 - 13*g + 0*g**3. What is the derivative of o(z) wrt z?
30*z**2
Let f be (-15)/9*(-24)/8. Let m(b) = 20*b**3 + 7*b + 23. Let w(y) = 13*y**3 + 5*y + 