13*q**4/12 - 12*q**2 + 19*q + 7. Let o(n) be the first derivative of k(n). Differentiate o(f) with respect to f.
26*f
What is the second derivative of 498 + 14*f**3 - 151*f**3 - f**2 - 498 - 282*f wrt f?
-822*f - 2
What is the third derivative of -3*b**3 + b**3 - 40*b**2 + b**3 + 196*b**2 + 412*b**4 + 121*b**2 wrt b?
9888*b - 6
Suppose 2*x - 12 = -5*y + 12, 5*y + 3*x = 26. Find the second derivative of -6*h**y - 2 - 5*h + 0*h + 2 wrt h.
-72*h**2
Let d(v) be the second derivative of -14*v + 0*v**2 + 0 - 17/6*v**3 - 11/12*v**4. What is the second derivative of d(l) wrt l?
-22
Suppose -3*d = -3*w + d - 2, 3*w - d - 4 = 0. Find the third derivative of 17 + 20*k**w - 14*k**4 - 27 + 10 wrt k.
-336*k
Let r = -44 + 70. Let c be (2 + -18)*-1*3. What is the derivative of 29 + 2*l - c + r wrt l?
2
What is the second derivative of 46*s + 13*s**5 - 37*s**5 + 26*s**5 + 20*s**5 wrt s?
440*s**3
Let f(n) be the third derivative of -8*n**2 + 0 + 1/24*n**4 + 0*n + 0*n**3 + 7/30*n**5. Find the second derivative of f(m) wrt m.
28
Differentiate -1 + 56*b + 5 + 134*b wrt b.
190
Find the third derivative of 27*i**2 + 15*i**2 + 2*i**5 - 11*i**3 - 28*i**2 wrt i.
120*i**2 - 66
Find the second derivative of 5 - 3*w**2 - 22*w**5 + w - 32 + 67 + 5*w**2 + 16 wrt w.
-440*w**3 + 4
Let z(s) be the second derivative of 27/20*s**5 + 0 + 0*s**3 - 46*s - 1/6*s**4 + 0*s**2. Find the third derivative of z(j) wrt j.
162
Let m(j) = -j**2 + 11*j - 13. Let c be m(7). Suppose c = -3*h + 24. Find the second derivative of -16*q**3 + 10*q + 4*q**h + 2*q wrt q.
-72*q
Find the second derivative of -39*r - 41*r + 1153*r**5 + 5*r**2 - 1150*r**5 wrt r.
60*r**3 + 10
Suppose -5*x - 6 = 2*g, 2*g - 49 + 15 = 5*x. What is the derivative of 16*f - g - 8 + 9 + 20 wrt f?
16
What is the first derivative of -55*c**2 - 41*c**2 - 482 + 563 wrt c?
-192*c
Find the third derivative of 12*d**4 + 313*d**5 + 52*d**2 + 37*d**4 - 314*d**5 wrt d.
-60*d**2 + 1176*d
Let n(g) = g**3 - 2*g**2 - 2*g + 3. Let t be n(3). Suppose 4*k = -t + 58. Differentiate -2*c**3 + k*c**3 - 6*c**3 - 1 + 2 with respect to c.
15*c**2
Let z(u) = -u**3 + u**2 + u. Let d(k) = 16*k**3 + 7*k**2 - 112*k. Let p(j) = -d(j) + 6*z(j). What is the second derivative of p(n) wrt n?
-132*n - 2
Find the first derivative of 97 - 27 - 7*o + 188*o + 264 - 3 wrt o.
181
Let p be 1/((-8)/(-12))*2. Find the second derivative of 4*a**p - 3*a + 5 - 3 - 2 wrt a.
24*a
Let q(p) be the first derivative of 53*p**3/3 - 11*p**2/2 - 104. What is the second derivative of q(i) wrt i?
106
Differentiate -2*j + 3 - 11*j**2 - 39 - 21 wrt j.
-22*j - 2
Find the third derivative of 126*z**2 - z**5 + 12*z**3 - 10*z**5 - 82*z**2 + 113*z**2 + 2*z**5 wrt z.
-540*z**2 + 72
What is the first derivative of -40 + 2 + 9 - 27 + 84*l**3 wrt l?
252*l**2
Let v(f) = -533*f**3 + 193*f**2 - 3*f - 3. Let n(h) = 534*h**3 - 194*h**2 + 2*h + 2. Let u(x) = 3*n(x) + 2*v(x). Find the third derivative of u(o) wrt o.
3216
Find the second derivative of 250*f**5 - 60*f**5 + 4*f - 142*f - 67*f + 1 wrt f.
3800*f**3
Let l(g) = -g. Let p be l(1). Let n be (p + 0)*(2 - 6). What is the second derivative of -x + 0*x**4 - x**n - 6*x wrt x?
-12*x**2
Let f(z) = -9*z - z**2 - z**3 - 1 + 9*z. Let b(j) = 11*j**3 + 5*j**2 + 6. Let s(g) = b(g) + 6*f(g). Find the third derivative of s(x) wrt x.
30
Let d(j) = -141*j + 51. Let u(x) = 211*x - 76. Let b(f) = 7*d(f) + 5*u(f). Differentiate b(z) wrt z.
68
Let n = 11 - 12. Let d be n/3 - 28/(-12). Find the first derivative of 4*i + 6 + 0*i + d - 2 wrt i.
4
Let v be (-9*(-8)/(-84))/(1/(-14)). What is the second derivative of o - 47*o**5 + 10*o**5 + v*o wrt o?
-740*o**3
Let n(a) be the first derivative of -6*a**2 + 109*a - 37. Let i(r) = -5*r + 55. Let p(m) = -7*i(m) + 4*n(m). What is the derivative of p(d) wrt d?
-13
Let r(h) = -h**2 + 1. Let b(k) = 6*k**2 - 2*k**2 - 18 + 14*k**2. Suppose -10 = -3*o - 7*o. Let v(f) = o*b(f) + 15*r(f). Differentiate v(d) wrt d.
6*d
Suppose -12*h + 9*h + 12 = 0. What is the third derivative of 4*b**4 + 18*b**2 - 51*b**6 + 68*b**6 - h*b**4 wrt b?
2040*b**3
Let f(n) = n**3 - 4. Let k be (3 + (-21)/9)*-9. Let z = -5 - -4. Let b(c) = c**3 + 1. Let y(q) = k*b(q) + z*f(q). Differentiate y(v) with respect to v.
-21*v**2
Suppose 4*h + h - 25 = 0. Suppose 4*d - h*d + 2 = 0. What is the third derivative of t**4 - 7*t**4 + 3*t**4 - 7*t**d - 5*t**4 wrt t?
-192*t
Let m = -31 - -35. What is the first derivative of 2*w**3 + 15*w**m - 2*w**3 - 85 + 102 wrt w?
60*w**3
Let w be 124/42 - (5 - 264/56). Let l(r) be the first derivative of w*r**3 - 9 + r + 0*r**2. Find the first derivative of l(n) wrt n.
16*n
Let h = -16 - -37. Suppose -2*n - h = -25. Differentiate 2 - 33*l**2 + 24*l**n - 1 with respect to l.
-18*l
Suppose 10*j - 9*j = 5. Suppose 5*y - 4*l = -0*l + 29, -y = -l - 5. Find the second derivative of -6*t**5 - 12*t**5 - y*t + 6*t**j + t wrt t.
-240*t**3
Let s(k) be the second derivative of k**8/84 - 7*k**5/30 + 3*k**2 + 15*k. Let c(o) be the first derivative of s(o). What is the third derivative of c(a) wrt a?
240*a**2
Let j be 8 + -1 + 0 + 3/(-1). Suppose 3*o = 5*h - 20, 3*o - 8*o = h - 4. Differentiate -1 - j*l + h*l + l**2 wrt l.
2*l
Let b(x) be the first derivative of 11 + 9/2*x**4 + x**3 + 0*x + 0*x**2. Find the third derivative of b(g) wrt g.
108
Let g(t) = t**3 + 7*t**2 - 6*t + 18. Let y be g(-8). What is the third derivative of 4*m**2 - 20*m**y + 10*m**2 + 10*m**4 wrt m?
240*m
Let u(t) = 84*t**2 - 3*t + 3. Let h be u(1). What is the second derivative of h*g - 63*g - 46*g - 7*g**2 wrt g?
-14
Let s(u) = -389*u**3 + 3*u**2 - 6*u + 45. Let q(a) = -389*a**3 + 2*a**2 - 4*a + 45. Let w(x) = 3*q(x) - 2*s(x). Differentiate w(f) wrt f.
-1167*f**2
Let h(l) = -2*l + 1. Let d(k) = 138*k**3 - 4*k - 199. Let w(x) = -d(x) + 2*h(x). Differentiate w(m) wrt m.
-414*m**2
Let p(g) = -66*g**2 - 86*g. Let o(m) = m**2 - m. Let n(r) = 22*o(r) - 2*p(r). What is the second derivative of n(f) wrt f?
308
Let z(f) be the second derivative of -f**8/8 + f**5/5 - 28*f**4/3 + 103*f. What is the third derivative of z(y) wrt y?
-840*y**3 + 24
What is the first derivative of -v**2 + v**2 + v**2 + 29 - 85*v**4 - 10 + 11*v**4 wrt v?
-296*v**3 + 2*v
Differentiate -251478*q + 52 + 273 + 251572*q wrt q.
94
Let f(i) = -6*i**3 + 11*i**2 - 17*i + 6. Let k(b) = 6*b**3 - 10*b**2 + 17*b - 4. Let g(q) = 2*f(q) + 3*k(q). Find the second derivative of g(x) wrt x.
36*x - 16
Suppose 3*n = 3*x - 18, -3*x + 10 = n - 4. Let r be 1/2*(9 + n). Find the second derivative of s**3 + 5*s - 39*s**4 + 34*s**r - s**3 wrt s.
-60*s**2
Let s(b) be the first derivative of 0*b**4 + 0*b**3 + 0*b - 4 - 1/2*b**2 - b**5. Find the second derivative of s(a) wrt a.
-60*a**2
Let b(u) = 2*u**2 - 7*u - 10. Let p be b(6). Let x be p*2/4 + -3. What is the second derivative of -x*t**2 + 0*t - 5*t + 3*t wrt t?
-14
Differentiate -5*r**2 + 19*r**2 - 7*r**2 - r**2 - 161 wrt r.
12*r
Let v(q) = 467*q**4 - 22*q**2 - 1716. Let k(a) = 94*a**4 - 4*a**2 - 343. Let b(r) = 11*k(r) - 2*v(r). What is the first derivative of b(u) wrt u?
400*u**3
Let o(j) be the second derivative of 73*j**6/30 + j**4/3 + 2*j - 9. What is the third derivative of o(t) wrt t?
1752*t
Let v(s) = 14*s**2 - 10. Let r = 19 - 15. Let o(n) = -15*n**2 + 11. Let c(a) = r*v(a) + 3*o(a). Find the first derivative of c(w) wrt w.
22*w
Let a(v) be the first derivative of -v**6/3 + 3*v**4/4 + 46*v**2 - 78. Find the second derivative of a(u) wrt u.
-40*u**3 + 18*u
Let y(a) be the third derivative of -17*a**4/24 - 20*a**3/3 - 2*a**2 + 1. Differentiate y(x) wrt x.
-17
Let n = -337 + 337. Let s(k) be the second derivative of 3*k**2 + n + 0*k**4 - 10*k + 9/20*k**5 + 0*k**3. What is the first derivative of s(u) wrt u?
27*u**2
What is the third derivative of -1145*y**2 + 96*y**5 - 1160*y**2 + 2347*y**2 wrt y?
5760*y**2
Let r = 1126 + -1120. Let k(m) be the second derivative of -4/3*m**3 + 11/12*m**4 + 0 + 0*m**2 - r*m. Find the second derivative of k(j) wrt j.
22
Find the second derivative of -83*l**4 - 252*l**5 + 37*l**4 + 46*l**4 - 254*l wrt l.
-5040*l**3
Find the second derivative of 43*y**3 + 5 + 10*y**2 + 970*y - 7*y**2 - 954*y wrt y.
258*y + 6
Suppose 0 = -l + 9*l - 128. What is the third derivative of -2*f**2 + 21*f**2 - l*f**5 + 13*f**5 + 4*f**5 wrt f?
60*f**2
Let t = -4/133 + 