f c**2 + 8*c - l*c - 2*c**2 + 4*c**2 wrt c?
6
Let d(k) be the third derivative of 0*k - 3/2*k**3 + 0*k**4 - 1/8*k**6 - 3*k**2 + 0 + 0*k**5. Differentiate d(b) wrt b.
-45*b**2
Let z(q) = -q + 17. Let n be z(-9). What is the first derivative of -13*h**4 - n - 12*h**2 + 12*h**2 wrt h?
-52*h**3
Let x = 37 + -23. Let d = x - 10. Differentiate 2*b**3 - d + b**3 + 0*b**3 - 8*b**3 with respect to b.
-15*b**2
Suppose 5*o - l = 71, -3*l = -3*o - 0*l + 33. Find the first derivative of o*n**3 + 40 + 16*n**3 - 78 wrt n.
93*n**2
Let o(q) = q**5 - q**4 + 2*q. Let a(g) = -8*g**5 - 30*g**4 + 229*g. Let h(u) = -a(u) - 5*o(u). What is the second derivative of h(j) wrt j?
60*j**3 + 420*j**2
Let b(t) be the second derivative of 0 - 12*t + 11/2*t**2 + 0*t**4 - 7/10*t**5 + 0*t**3. What is the first derivative of b(k) wrt k?
-42*k**2
Let i(q) be the first derivative of -12*q**7 + q**4/2 + 8*q**3/3 - 119. What is the third derivative of i(t) wrt t?
-10080*t**3 + 12
Let o(n) = -n + 9. Let s be o(7). Differentiate -21*b**s + 5 + 55*b - 55*b wrt b.
-42*b
Let a(f) be the second derivative of -83*f**7/42 - 44*f**3/3 + 2*f + 42. Find the second derivative of a(g) wrt g.
-1660*g**3
Let k(f) = 27*f**2 + 161. Let y(o) = 13*o**2 + 81. Let b(l) = -3*k(l) + 7*y(l). Differentiate b(j) with respect to j.
20*j
Let l = -19 - -22. What is the first derivative of -16*h**3 + 16 + 0 - l wrt h?
-48*h**2
Differentiate -143 - 82 - 39 - 18 + 45 + 11*m wrt m.
11
Let z(k) = 94*k**2 - 40*k - 6. Let p(j) = -j**2 + j + 1. Let l(r) = 12*p(r) + 2*z(r). Find the second derivative of l(s) wrt s.
352
Let x(i) be the third derivative of -i**7/70 + 29*i**6/120 - 71*i**4/4 - 11*i**2 + 4. Find the second derivative of x(u) wrt u.
-36*u**2 + 174*u
Let l(s) = -9*s**2 + 2*s + 12. Let k(o) = 15*o - 24 - 10*o - 10*o + 18*o**2. Let m(g) = -2*k(g) - 5*l(g). Differentiate m(w) wrt w.
18*w
Let l(q) be the first derivative of -27*q**4/2 + 128*q - 37. Find the first derivative of l(h) wrt h.
-162*h**2
What is the second derivative of -14*q**4 - 27*q - 107*q + 2*q**3 - 49*q + 107*q wrt q?
-168*q**2 + 12*q
Let y(i) be the first derivative of 161*i**6/3 - i**2/2 + 30*i - 27. What is the second derivative of y(g) wrt g?
6440*g**3
Let y(i) be the second derivative of -i**5/20 - 11*i**3/2 - 29*i**2 + 2*i - 41. Find the first derivative of y(l) wrt l.
-3*l**2 - 33
Suppose -2*r = 2*a - 2, 5*r - 4*a - 2 = 12. Suppose 5*k = 3*h + 4, -2 = -5*h + 7*k - 3*k. What is the derivative of -5 - 1 + 2*p + r*p - h*p wrt p?
2
Let j(c) be the third derivative of c**6/60 - 43*c**5/60 - 125*c**4/24 + 122*c**2. What is the second derivative of j(t) wrt t?
12*t - 86
Let h(t) be the third derivative of 5*t**8/168 - 5*t**4/8 - t**3/3 - t**2 + 9. Find the second derivative of h(b) wrt b.
200*b**3
What is the third derivative of -2*j**6 + 1332*j**5 - 1332*j**5 - 28*j - 2*j**2 - 2 + 2 wrt j?
-240*j**3
Suppose -i + 10 = 3*p, 3*p - 8 + 2 = 3*i. Let v(o) be the first derivative of 3 + 0*o**3 - p*o**2 + 0*o + 11/4*o**4. Find the second derivative of v(k) wrt k.
66*k
Let l(m) = 162*m**3 - 421*m**2. Let g(b) = 163*b**3 - 423*b**2. Let s(o) = 5*g(o) - 4*l(o). What is the third derivative of s(h) wrt h?
1002
Suppose -2*m + 108 = 10*m. What is the second derivative of 2*p + m - 15 + 19*p**2 + 29*p**2 wrt p?
96
What is the derivative of 0*h**3 - 3 - 53*h**4 + 166*h**4 + 0*h**3 wrt h?
452*h**3
Let u(p) be the second derivative of 0*p**2 + 0*p**3 - 25/12*p**4 + 0*p**7 + 0 + 0*p**6 - 5*p + 0*p**5 + 3/56*p**8. What is the third derivative of u(t) wrt t?
360*t**3
What is the derivative of 18*y**3 + 91 - 26*y**2 + 13*y**2 + 13*y**2 wrt y?
54*y**2
Suppose o = -5*v + 44, 5*v - 2*o - 2*o = 24. Find the third derivative of -5*l**2 - 4*l**5 + 21*l**2 - v*l**2 wrt l.
-240*l**2
Let s(c) be the second derivative of 1/14*c**8 - 11*c + 7/12*c**4 + 0 + 0*c**6 + 0*c**7 + 0*c**2 + 0*c**5 + 0*c**3. What is the third derivative of s(w) wrt w?
480*w**3
What is the second derivative of 541*f + 121*f**2 + 36323 - 4*f**3 - 209*f + 2*f**3 - 36323 wrt f?
-12*f + 242
Suppose 9*v - 7*v - 4 = 0. Find the third derivative of 688*a**3 + 18*a**4 - 688*a**3 + 5*a**v wrt a.
432*a
Let t(v) be the third derivative of -7*v**6/60 + v**5/30 - v**3/3 - 66*v**2. What is the third derivative of t(n) wrt n?
-84
Let c(n) be the second derivative of -9*n**5/10 - n**4/4 - n**3/6 - 243*n**2/2 + 112*n. What is the second derivative of c(w) wrt w?
-108*w - 6
Let d(c) be the second derivative of -13*c**6/30 + 16*c**2 - 3*c. Find the first derivative of d(i) wrt i.
-52*i**3
Suppose 2*m - w = -2*w + 8, 0 = -2*m - 5*w + 24. Let a(z) be the third derivative of z**3 + 0*z + 0 - 1/24*z**4 - 7*z**m. What is the derivative of a(j) wrt j?
-1
Let k(b) be the third derivative of -b**6/120 - b**5/12 - b**3 + 4*b**2. Let n(a) be the first derivative of k(a). What is the second derivative of n(t) wrt t?
-6
Suppose 6*v + 36 = 3*v. Let x be (-26)/v - (-5)/(-30). What is the first derivative of x*f**3 + 2 + 2*f - 2*f wrt f?
6*f**2
Let b be -1 + 0 + (2 - 4). Let p = 0 - b. Differentiate 0*y**p - y**3 - 4 + 2*y**3 with respect to y.
3*y**2
What is the second derivative of -83 - 238*q**2 + 42*q**2 + 97*q**2 - 2*q wrt q?
-198
Let a(r) = -84*r + 95. Let b(n) = -82*n + 95. Let g(k) = -5*a(k) + 6*b(k). What is the derivative of g(i) wrt i?
-72
Let k(b) be the third derivative of b**6/40 - 7*b**4/12 + 2*b**3/3 + 111*b**2. What is the first derivative of k(d) wrt d?
9*d**2 - 14
Find the second derivative of 31*s + 46*s**2 - 2*s**4 + 34*s - 108*s - 77*s wrt s.
-24*s**2 + 92
Let p(r) be the second derivative of -r**6/10 + r**5/4 + r**3/3 - 9*r**2 - 12*r. Find the second derivative of p(x) wrt x.
-36*x**2 + 30*x
Let v = -95 + 98. What is the first derivative of -18*g**4 + v*g**3 - 3*g**3 + 31 - 10*g**4 wrt g?
-112*g**3
Let l(f) = -3*f + 2. Let j be l(-1). Suppose j*m - 23 = -8. What is the first derivative of 0*b**3 - 3*b**m - 1 + 6 wrt b?
-9*b**2
What is the third derivative of 195*l**5 - 12569*l**4 + 12569*l**4 + 234*l**2 wrt l?
11700*l**2
Let l(g) = 2*g**3 - g**2 - 1. Let o(a) = 16*a**4 - 6*a**3 + 3*a**2 + 27*a + 3. Let d(h) = -3*l(h) - o(h). Find the second derivative of d(w) wrt w.
-192*w**2
Let t = -20 + 25. Let c(q) = 64*q**2 - 60*q + 5. Let x(y) = -160*y**2 + 150*y - 12. Let u(z) = t*x(z) + 12*c(z). Find the second derivative of u(f) wrt f.
-64
Let w(o) = -144*o**3 + 49*o**2 - 2*o - 4. Let r(b) = 289*b**3 - 98*b**2 + 4*b + 7. Let g(u) = 4*r(u) + 7*w(u). Find the third derivative of g(t) wrt t.
888
Let r(n) be the third derivative of 0*n - 8*n**2 + 0 + 1/60*n**6 + 0*n**5 + 0*n**4 - 8/3*n**3. Find the first derivative of r(j) wrt j.
6*j**2
Let w = 17 - 37. Let x = 22 + w. Find the second derivative of 8*j + x*j**2 - j + 71 - 71 wrt j.
4
Let j be (-3)/12 + 1/4. Suppose 5*z + z - 18 = j. Find the third derivative of 10*p**z - 3*p**2 - 4*p**2 - p**3 + 4*p**2 wrt p.
54
Let p(x) be the first derivative of -19*x**4 + 217*x**3/3 - 169. Find the third derivative of p(g) wrt g.
-456
Let z = 661 - 655. Let x(g) be the second derivative of -1/10*g**z + 0*g**3 + 0*g**4 - 5/2*g**2 + 3*g + 0*g**5 + 0. What is the first derivative of x(f) wrt f?
-12*f**3
Suppose 30 = -5*w + 50. Differentiate 18*o**3 + o**w - 18*o**3 - 12 with respect to o.
4*o**3
Let g(w) be the first derivative of -103*w**3/3 - 129*w**2/2 + 107. What is the second derivative of g(h) wrt h?
-206
Let k(w) = w + 2. Let h be k(1). Suppose h*b - 16 + 10 = 0. Differentiate 17*v**2 - 12*v**b + 10 - 5 + 6 with respect to v.
10*v
Let d(q) be the first derivative of 263*q**7/7 + 20*q**3/3 - 4*q - 25. What is the third derivative of d(a) wrt a?
31560*a**3
Let d(w) be the second derivative of 17*w + 0 + 5/3*w**3 - 1/12*w**4 + 0*w**2. What is the second derivative of d(y) wrt y?
-2
Suppose -4*p - 4*x + 28 = -0*x, -2*p + 4*x = -2. Find the second derivative of -14*n**p + 20*n - 14*n**5 + 34*n**5 wrt n.
120*n**3
Suppose -5*f - 39 = -8*f. Suppose -5*q + f - 3 = 0. What is the second derivative of 5*a**q + 6*a + a**2 - 11*a wrt a?
12
Let u(o) be the first derivative of -65*o**4/4 - 4*o**3/3 - 3*o**2 - 50. What is the third derivative of u(k) wrt k?
-390
Let g(w) be the second derivative of -71*w**3/2 + 39*w**2 + 229*w. Differentiate g(j) wrt j.
-213
Let s(u) be the third derivative of -u*