 - 4. Find the second derivative of 14*j - 5*j + 25*j**2 - f*j**2 + 14*j wrt j.
42
Suppose c - 8 = -4. Let l(b) = b**4 + 4*b**3. Let d(u) = -u**4 - 7*u**3 + u. Let t(k) = c*d(k) + 7*l(k). Find the second derivative of t(p) wrt p.
36*p**2
Let r(i) be the second derivative of -i**7/3 + 7*i**3/3 + i**2/2 - 37*i. What is the second derivative of r(m) wrt m?
-280*m**3
Let d(h) be the second derivative of 0 + 13/20*h**5 - 1/3*h**4 + 0*h**2 + 6*h + 0*h**3. Find the third derivative of d(i) wrt i.
78
Let t(u) be the second derivative of -71*u**4/12 - u**3/3 - 35*u**2 - u + 22. Differentiate t(i) with respect to i.
-142*i - 2
Let q = -4 + 7. Let t be 1*3/(-9)*36/(-3). Differentiate 11*l - 11*l + 0 + t*l**q - 1 with respect to l.
12*l**2
Let t = 32 + -27. Let r(k) = -2*k**4 - 5*k**3 - 16. Let m(i) = i**4 + i**3 + 1. Let p(v) = t*m(v) + r(v). What is the first derivative of p(x) wrt x?
12*x**3
Let c = 10 - 4. Suppose 3*j = 8*j - 25. What is the third derivative of -c*k**2 + 2*k**2 - 3*k**j + 2*k**2 wrt k?
-180*k**2
Let k(o) = -21*o**2 + 3*o + 49. Let d(s) = 7*s**2 - s - 17. Let z(f) = 11*d(f) + 4*k(f). Find the second derivative of z(m) wrt m.
-14
Let o(q) be the first derivative of -838*q**7/7 + 32*q**3 - 3*q**2/2 - 112. What is the third derivative of o(p) wrt p?
-100560*p**3
Let a(d) be the second derivative of 0*d**2 + 0*d**5 + 4*d - 3/2*d**4 - 3/14*d**7 + 0*d**3 + 0*d**6 + 0. Find the third derivative of a(s) wrt s.
-540*s**2
Let o = -4 - 2. Let a = 18 + o. What is the second derivative of -a*q - 5*q**4 + 6*q + q wrt q?
-60*q**2
Let c = 10 + 4. Find the third derivative of c*q**2 + 237 + 234 - 471 + 13*q**3 wrt q.
78
Let n(s) be the third derivative of -67*s**7/35 + 379*s**3/3 + 3*s**2 + 84*s. Find the first derivative of n(b) wrt b.
-1608*b**3
Suppose 0 = -5*z - 10, -3*o + 3*z = -2*o - 23. Suppose -4*w - 1 + o = 0. What is the second derivative of -11*t**2 + 11*t**2 - 2*t - 3*t**w wrt t?
-36*t**2
Find the second derivative of 869*b**2 - 508*b**2 + 217*b - 692*b**2 wrt b.
-662
Let d(g) = -6*g**3 + 2*g**2 - 32*g. Let w(l) = 6*l**3 - 2*l**2 + 31*l. Let s(m) = 6*d(m) + 5*w(m). Find the second derivative of s(k) wrt k.
-36*k + 4
Let q = -2 - -4. Find the second derivative of 9*s + q*s - s**5 - 5*s**5 wrt s.
-120*s**3
Suppose -z + 5 = d, 0 = 5*d - 2*d - 2*z. What is the first derivative of -11 + 4*b**2 - 4*b**d + 2*b**2 + b**2 wrt b?
6*b
Let m = 78 + -75. Find the third derivative of 27*a**2 + a**m - 9*a**2 + 8*a**2 wrt a.
6
What is the third derivative of -108*h**2 + 109*h + 105*h**2 + 543*h**4 + 3*h wrt h?
13032*h
Let d(s) = s**3 + 6*s**2 - 2*s - 10. Let w be d(-6). What is the third derivative of -436*h**2 + h**3 + w*h**3 + 447*h**2 wrt h?
18
Let m(f) be the third derivative of 71*f**7/210 - f**4/24 - 17*f**3/6 + 82*f**2. Find the second derivative of m(k) wrt k.
852*k**2
Let p(f) be the first derivative of -11*f**4/12 + 17*f**2/2 + 16*f - 5. Let m(v) be the first derivative of p(v). Differentiate m(w) wrt w.
-22*w
Suppose -s = 5*g - 36, 0*g - 28 = -g + 5*s. Differentiate 12*q**2 - 19 + 4 + 6*q**2 + g with respect to q.
36*q
Suppose -d = 4*v - 15, 2*v - 18 = -4*d + 2*d. Find the second derivative of 9*s + d*s**4 + 18*s**2 - 18*s**2 wrt s.
84*s**2
Let f(m) be the first derivative of -227*m**2/2 - 188*m + 135. Differentiate f(p) with respect to p.
-227
Suppose 11*o + 18 = 20*o. Let k(r) be the first derivative of 0*r**3 - 4/5*r**5 + 0*r + 0*r**4 - 1 - 5/2*r**o. What is the second derivative of k(c) wrt c?
-48*c**2
Suppose 0 = -2*l + 4*f - 52, -3*l - 93 = 2*f - 15. Let a = 28 + l. Find the second derivative of -2*b**2 - 10*b**a - 23*b + 18*b wrt b.
-24
What is the second derivative of 2 + 116*x**2 - 4805*x - 36*x**2 + 4817*x wrt x?
160
Let u(z) be the second derivative of 121*z**7/14 - 94*z**3/3 - z**2/2 - 2*z - 166. What is the second derivative of u(m) wrt m?
7260*m**3
Find the second derivative of -409*d - 35*d**4 + 637*d - 4*d**4 wrt d.
-468*d**2
What is the first derivative of 34*s + 0*s - 733 - 34*s - 308*s**4 wrt s?
-1232*s**3
Let f(o) = -51*o**3 - 540*o**2 + 9*o + 141. Let r(p) = -5*p**3 - 54*p**2 + p + 14. Let t(n) = -2*f(n) + 21*r(n). What is the second derivative of t(a) wrt a?
-18*a - 108
Let g be (-16)/(4 + -8) - 2. What is the third derivative of 15*x**g - 8*x**2 + 9*x**3 + 2*x**2 + 2*x**2 wrt x?
54
Suppose 2*w - 7*w + h = 4, -5*h = 5*w - 20. Let y be w/1 - 0 - -25. What is the second derivative of 3*f + 6*f**5 + 25 - y wrt f?
120*f**3
Suppose -4*a + o = 2*o - 33, o - 6 = -a. Let r = 0 + 0. Find the second derivative of -a*q**3 + 5*q + 15*q**3 + r*q wrt q.
36*q
Let n be (-388)/(-3)*(-3)/(-2). Differentiate 20 - 194*r**2 + 6*r**3 + n*r**2 wrt r.
18*r**2
Let s(p) = -11*p**3 + 196*p**2 - 12. Let f(x) = -21*x**3 + 393*x**2 - 22. Let y(t) = -6*f(t) + 11*s(t). Find the third derivative of y(d) wrt d.
30
Suppose 0*u = 2*u. Suppose -3*y + 3*h + 21 = u, -11 = -y + 4*h + 8. Differentiate -y*x**3 - x**3 - 11 + 18 - 11 wrt x.
-12*x**2
Let x(k) be the second derivative of 0*k**2 + 0*k**6 + 0*k**3 - 11*k + 1/2*k**4 + 0*k**5 + 0*k**7 + 3/14*k**8 + 0. Find the third derivative of x(a) wrt a.
1440*a**3
Let w(v) be the first derivative of -32*v + 24 - 5/2*v**2. Find the first derivative of w(c) wrt c.
-5
Let r(d) be the second derivative of 0 + 12*d - 7/3*d**3 + 7*d**2. Differentiate r(i) wrt i.
-14
Let c(v) = 103*v**3 - 4*v**2 - 4*v + 33. Let i(m) = -m**2 - m. Let f(b) = -c(b) + 4*i(b). Differentiate f(p) wrt p.
-309*p**2
Let p(q) be the first derivative of -27*q**6/2 - 5*q**2/2 - q + 34. Find the second derivative of p(r) wrt r.
-1620*r**3
Let c(x) be the second derivative of -41*x**6/5 + 25*x**4/4 + x**3/3 - 2*x - 198. Find the third derivative of c(r) wrt r.
-5904*r
Let a(z) = -z**3. Let j(m) = 18*m**3 + m - 40. Let t(q) = 4*a(q) + j(q). Differentiate t(f) wrt f.
42*f**2 + 1
Suppose 0 = 19*l + 11*l - 120. Let s(a) be the second derivative of l*a + 0 - 1/2*a**4 + 0*a**2 - 2/3*a**3. What is the second derivative of s(t) wrt t?
-12
Let k(y) = 1333*y**3 + 34*y**2 - 136*y - 3. Let r(h) = -445*h**3 - 12*h**2 + 45*h + 1. Let v(z) = -6*k(z) - 17*r(z). Find the second derivative of v(t) wrt t.
-2598*t
Let w = 379/2805 - 1/561. Let f(q) be the third derivative of -q**2 + w*q**5 + 1/6*q**3 + 0*q + 0 + 0*q**4. What is the first derivative of f(l) wrt l?
16*l
Find the third derivative of 7*h**2 + 16*h**3 - 30*h**2 - 248*h**6 - 2*h - 38*h**3 + 22*h**3 wrt h.
-29760*h**3
Let a(d) be the third derivative of d**6/60 + d**4/4 + 17*d**3/6 + 5*d**2. Let x(f) = f**3 + 7*f + 18. Let c(o) = 7*a(o) - 6*x(o). Differentiate c(n) wrt n.
24*n**2
Let g(m) be the third derivative of -m**7/7 - m**6/120 - 26*m**3/3 + 81*m**2. What is the first derivative of g(y) wrt y?
-120*y**3 - 3*y**2
Let m(w) be the second derivative of w**5/20 - 5*w**4/6 + 4*w**3/3 + 5*w**2 + 5*w. Let h be m(9). What is the first derivative of -3 + 0 + 1 + 7*u**2 + h wrt u?
14*u
Suppose j + 30 = 4*j. What is the second derivative of j*n**2 - 10*n**2 - 18*n - 2*n**5 + 23*n**5 wrt n?
420*n**3
Suppose -8 = -3*v + v. Suppose 4*d + v = 5*d. Differentiate 4 - d - 4 - 6*c wrt c.
-6
Let k(n) be the second derivative of -10*n + 2*n**2 - 8*n**3 - 27*n**2 + 58*n. Differentiate k(x) wrt x.
-48
Differentiate -5*j**4 - 7*j**3 - 7*j**3 + 120 + 17*j**3 + 3*j**4 with respect to j.
-8*j**3 + 9*j**2
Let l(n) be the second derivative of 0*n**4 - 49/30*n**6 + 0*n**5 + 0*n**3 + 0 + n - 33/2*n**2. What is the derivative of l(k) wrt k?
-196*k**3
Differentiate 20*t**2 + 52 - 22*t**2 + 67 + 11*t**3 + 34*t**3 with respect to t.
135*t**2 - 4*t
Let m(s) = 24*s**2 + 5*s + 19. Let i = 46 + -51. Let k(f) = 25*f**2 + 6*f + 17. Let v(g) = i*k(g) + 6*m(g). What is the first derivative of v(j) wrt j?
38*j
Let n = -5 + 8. Suppose -4*b - 10 = -18. What is the first derivative of 0*z - 3 - n - b*z + 4*z wrt z?
2
What is the first derivative of 356 + 220*k - 114*k - 607*k wrt k?
-501
Let x(s) be the first derivative of 9/2*s**2 + 1 - 19/3*s**3 + 0*s. What is the second derivative of x(z) wrt z?
-38
Let u = 216 + -2159/10. Let p(w) be the third derivative of -5/3*w**3 - 8*w**2 + 0*w**4 + 0 + u*w**5 + 0*w. Find the first derivative of p(n) wrt n.
12*n
Let i(q) = q - 7. Let h be i(11). Differentiate 11*y - 2 + 0 + h + 4 wrt y.
11
Let v be (-2)/(-9) - 