8
What is the second derivative of 81*s**2 + 5*s + 2*s + 28 - 2*s - 6*s wrt s?
162
Let u(o) = o**2 - o - 1. Let n(d) = -10*d**4 - 5*d**2 + 5*d - 45. Let h = 6 - 5. Let l(z) = h*n(z) + 5*u(z). Find the first derivative of l(s) wrt s.
-40*s**3
What is the second derivative of 132*p**5 + 1327*p**2 - 1327*p**2 + 14*p**5 - 376*p wrt p?
2920*p**3
Differentiate 83*o**2 - 85 - 15 + 84*o**2 + 11 with respect to o.
334*o
Let h(u) = 4*u - 38. Let r be h(10). What is the third derivative of n**2 + 19*n**4 - n**2 - 23*n**r wrt n?
456*n
What is the third derivative of 27*l**3 - 4*l + l**2 + l + 8*l**3 + 5*l wrt l?
210
Let t(m) = -2*m**5 - m**3 - m**2 - 2. Let i(v) = 52*v**5 - 4*v**3 - 3*v**2 - 72*v - 6. Let l(j) = i(j) - 3*t(j). What is the second derivative of l(r) wrt r?
1160*r**3 - 6*r
Let j(z) be the first derivative of 0*z**4 + 0*z**3 + 11/5*z**5 + 0*z + 4*z**2 + 3. What is the second derivative of j(i) wrt i?
132*i**2
Differentiate 64*c - 447*c - 35240 + 34956 with respect to c.
-383
Suppose 0 = -v + 3*b + 18, -1 = -2*v - b - 0. Let z be -1 + -3 + 3 + 7. Find the third derivative of 3*f**3 - v*f**3 - z*f**2 - 3*f**4 + 0*f**2 wrt f.
-72*f
Let z(d) be the third derivative of d**8/84 + 25*d**4/12 + 41*d**2. Find the second derivative of z(w) wrt w.
80*w**3
Find the third derivative of -2*m**6 + 428*m**5 - 284*m - 59*m**3 + 59*m**3 - 3*m**2 + 84*m - 64*m**5 wrt m.
-240*m**3 + 21840*m**2
Let j(s) = s + 2. Let u(z) = 65*z - 52. Let x(n) = 6*j(n) - u(n). Differentiate x(f) wrt f.
-59
Let a(o) = -22*o + 50. Let m be a(2). Suppose x - 3*x + 4 = 0. What is the third derivative of 7*y**2 + 4*y**2 - 14*y**x - 2*y**m wrt y?
-240*y**3
Suppose 0 = k - 3*k - s - 1, 17 = k - 3*s. Find the second derivative of -3*f**3 - 2*f + 5*f - 44*f**k + 44*f**2 wrt f.
-18*f
Let g(s) be the third derivative of s**4/3 + 61*s**3/2 - 135*s**2. Differentiate g(i) wrt i.
8
Let o(m) be the first derivative of -17*m**4 + 68*m**3/3 - 56. What is the third derivative of o(a) wrt a?
-408
Let p = -131 + 133. What is the second derivative of -23 + 24 - 7*y + 0*y**2 - 14*y**p wrt y?
-28
Let l be (-4)/14 - (-8136)/56. What is the second derivative of l + 0*r - 145 - 8*r**3 + 30*r wrt r?
-48*r
Let m(d) be the first derivative of 312*d**5/5 - 87*d**2/2 + 218. What is the second derivative of m(n) wrt n?
3744*n**2
Find the second derivative of -21*j + 19*j + 8 + 35*j**5 - 23 + 6 wrt j.
700*j**3
What is the third derivative of 0 - 6 - 4*q**6 + 2 + q**2 - 2*q**2 wrt q?
-480*q**3
Let b(g) = -2*g - 3. Let m be b(-3). Let j(i) = i**m + 54*i - 54*i. Let v(t) = -4*t**3 - 1. Let d(u) = 6*j(u) - v(u). Differentiate d(r) wrt r.
30*r**2
Let g(l) be the second derivative of -l**6/60 + 3*l**3/2 - 5*l**2 - 3*l. Let t(n) be the first derivative of g(n). What is the derivative of t(h) wrt h?
-6*h**2
Find the second derivative of 13*a - 4 + 138*a**5 + 5*a + 26 - 16*a wrt a.
2760*a**3
Let g(p) = -103*p**3 - 238*p**2 + 3*p - 6. Let v(f) = -102*f**3 - 239*f**2 + 4*f - 8. Let a(x) = -4*g(x) + 3*v(x). What is the third derivative of a(d) wrt d?
636
Let p(z) = -138*z**4 + 3*z**3 - 3*z**2 + 172. Let m(u) = -138*u**4 + 2*u**3 - 2*u**2 + 173. Let a(o) = 3*m(o) - 2*p(o). Find the first derivative of a(s) wrt s.
-552*s**3
Let f be (-9)/(-6)*(552/(-9))/(-2). What is the second derivative of f - 95 + 49 - 25*w**5 - 10*w wrt w?
-500*w**3
Let c(b) be the third derivative of 0 + 6*b**2 + 0*b**3 + 0*b**5 + 0*b**6 + 0*b + 5/12*b**4 + 1/35*b**7. Find the second derivative of c(z) wrt z.
72*z**2
Let t(q) be the second derivative of 0 - 24*q + 0*q**3 + 5*q**2 + 7/12*q**4. Find the first derivative of t(d) wrt d.
14*d
What is the third derivative of 8*z**6 + 10*z**2 - 2*z**5 - 6*z**5 + 5*z + 4*z**2 - 14*z**6 - 13*z**2 wrt z?
-720*z**3 - 480*z**2
Let l(v) = 813*v**3 + 7*v**2 - 7*v - 1004. Let t(u) = -407*u**3 - 4*u**2 + 4*u + 502. Let z(m) = -4*l(m) - 7*t(m). Differentiate z(r) with respect to r.
-1209*r**2
Let g(h) be the first derivative of -26 - 21*h + 13/2*h**2. What is the first derivative of g(r) wrt r?
13
Let z(o) = 7*o**4 + 6*o**2 + 6*o + 53. Let a(r) = -8*r**4 - 5*r**2 - 5*r - 52. Let l(x) = -6*a(x) - 5*z(x). What is the first derivative of l(w) wrt w?
52*w**3
Let j(w) be the second derivative of 0*w**3 - 8*w + 0*w**4 + 0 - 14*w**2 + 7/10*w**5. What is the first derivative of j(g) wrt g?
42*g**2
Let n(d) be the first derivative of -32*d**5 - 141*d - 14. Differentiate n(v) wrt v.
-640*v**3
Let s(z) be the first derivative of 2 + z**2 - 22*z + 46/3*z**3. Find the second derivative of s(v) wrt v.
92
Suppose -5*t - 10 = -3*t - 4*s, 0 = -5*t + 3*s + 3. Suppose -t*u + 8 + 46 = 0. Differentiate -27 + 38 - 5*m - u with respect to m.
-5
Let g(j) = 27*j**4 + 6*j**2 - 559. Let y(a) = 56*a**4 + 10*a**2 - 1117. Let x(h) = -5*g(h) + 3*y(h). Differentiate x(v) with respect to v.
132*v**3
Let n(g) be the third derivative of -4/35*g**7 + 0*g**6 + 7/12*g**4 + 0*g**3 + 0*g + 26*g**2 + 0*g**5 + 0. Find the second derivative of n(u) wrt u.
-288*u**2
Let o(q) = 3*q + 13. Let y(g) = g. Let k(x) = -2*x - 7. Let v be k(-3). Let c(n) = v*o(n) + 2*y(n). Differentiate c(r) wrt r.
-1
Let k(o) be the first derivative of -13/2*o**2 + 11*o - 12. Find the first derivative of k(p) wrt p.
-13
Suppose 4 = p - 2. Differentiate 2 + f**4 + p*f**4 - 10 with respect to f.
28*f**3
Let y(u) = -13*u**4 - 176*u**3 - 61*u - 9. Let t(a) = -3*a**4 - 44*a**3 - 15*a - 2. Let s(h) = 9*t(h) - 2*y(h). Find the second derivative of s(k) wrt k.
-12*k**2 - 264*k
Let k(i) be the first derivative of 8*i**4 + 119*i**3/3 + 69. Find the third derivative of k(u) wrt u.
192
Let k(y) be the second derivative of -y**8/480 - y**6/80 - 7*y**4/6 + 24*y. Let i(x) be the third derivative of k(x). Find the second derivative of i(u) wrt u.
-84*u
Let b(n) = n**3 + 11*n**2 - 7*n - 7. Let w = 34 + -27. Let f(r) = 6*r**2 - 3*r - 3. Let p(y) = w*f(y) - 3*b(y). What is the third derivative of p(h) wrt h?
-18
Let p(f) be the first derivative of 0*f**5 + 31 - 25/2*f**2 + 0*f**4 + 11/3*f**6 + 0*f**3 + 0*f. What is the second derivative of p(c) wrt c?
440*c**3
Let w(j) = -133*j - 56. Let x(g) = -264*g - 111. Let d(r) = 11*w(r) - 6*x(r). Differentiate d(y) with respect to y.
121
Suppose -2*j + 3*w - 16 = 0, 0 = 4*j - 2*w - 4 + 20. Let i = j - -4. Find the third derivative of 0*z**i - 4*z**2 + 5 - 5 + 2*z**5 wrt z.
120*z**2
Let n(x) = 33*x**6 + 2*x**3 + 4*x**2 - 48. Let k(r) = -r**6 - r**3 - r**2. Let h(f) = 3*k(f) + n(f). What is the third derivative of h(q) wrt q?
3600*q**3 - 6
Let m(y) be the second derivative of 0*y**2 + 17*y - 3/4*y**4 + 0 + 7/20*y**5 + 0*y**3. What is the third derivative of m(v) wrt v?
42
Let u(d) be the second derivative of -62*d**7/21 + 83*d**3/6 + 6*d. What is the second derivative of u(z) wrt z?
-2480*z**3
Suppose -5*m - 32 = -42. Let a(u) be the third derivative of 2/3*u**3 + 0*u - 3*u**m + 0*u**4 + 0 - 1/120*u**6 + 0*u**5. What is the derivative of a(b) wrt b?
-3*b**2
Let s be (-16 + 18)/((-4)/(-6)). What is the first derivative of -5 - 16*w**s - 1 + 45*w**3 - 2 wrt w?
87*w**2
What is the second derivative of 16394*o**2 - 3 + 3 + 72*o - 16222*o**2 wrt o?
344
Suppose -43 = -3*l - 4*g, -4*g - g = -2*l + 44. Let v = l + -15. Find the second derivative of j**3 - 10*j**4 + 3*j - v*j**3 + j**3 wrt j.
-120*j**2
Let k be 3/(-2 + 2/4). Let f be k - -1 - (-28)/7. What is the third derivative of -1 + 4 - 8*n**3 - f - 3*n**2 wrt n?
-48
Let o(h) be the first derivative of -h**7/840 + h**5/30 + 2*h**3 + 9. Let t(l) be the third derivative of o(l). What is the second derivative of t(m) wrt m?
-6*m
Let j be (-9)/(270/(-25))*(-12)/(-20). Let y(k) be the second derivative of 0 + 0*k**3 + 4*k + 1/5*k**6 - j*k**2 + 0*k**5 + 0*k**4. Differentiate y(c) wrt c.
24*c**3
Let i be 2/4*0 - -3. Suppose 5*x - 6 = 3*w + 4, -i*w + 15 = 0. What is the derivative of -2*u - 5 + 4 + 4 - x wrt u?
-2
Let s(l) be the third derivative of -l**8/336 - l**7/35 + 6*l**5/5 - l**4/12 + 5*l**2 - 5. Find the third derivative of s(t) wrt t.
-60*t**2 - 144*t
Let o(y) be the first derivative of 4*y**5/15 + 5*y**4/24 - 6*y**2 - 15. Let n(r) be the second derivative of o(r). What is the second derivative of n(z) wrt z?
32
Let c(t) = t**3 + 2*t**2 + t + 6. Let n be c(0). Find the third derivative of n*y**2 + 6*y**4 + 14*y - 14*y 