 Differentiate -11 + v*w - 23 + 1 wrt w.
11
Suppose 2*w + 2*k - 5*k = 18, 3*w - 27 = 4*k. Let s be 2/w + 80/45. Find the second derivative of -6*v - 5*v**3 + s*v - 2*v wrt v.
-30*v
Let r(k) = 28*k**4 + 4*k**3 + 8*k**2 - 9*k - 420. Let v(x) = -55*x**4 - 7*x**3 - 14*x**2 + 18*x + 841. Let b(i) = -7*r(i) - 4*v(i). Differentiate b(y) wrt y.
96*y**3 - 9
Suppose 3*u + 11 + 7 = 0. Let i = u + 12. Find the first derivative of -i*p**2 + 1 - 3 + 0 wrt p.
-12*p
Let l(p) be the third derivative of p**8/48 + p**7/105 + 41*p**4/12 - 27*p**2 + 3. Find the second derivative of l(y) wrt y.
140*y**3 + 24*y**2
Let s = 17 + -8. Suppose 0 = s*i - 124 - 65. Find the second derivative of -7*o**2 + i*o**2 - 13*o**2 - 13*o wrt o.
2
Let l(d) be the second derivative of -3*d**8/56 + d**6/6 - 3*d**4/4 + 5*d**2/2 - d - 122. Find the third derivative of l(i) wrt i.
-360*i**3 + 120*i
Suppose -5*z - 54 = -11*z. Find the third derivative of -50*r**6 - 3 + 67*r**2 + 2 - 65*r**2 - z wrt r.
-6000*r**3
Let g(y) be the second derivative of -9*y**5/20 + y**4/12 - 2*y**3/3 + 3*y**2/2 - 19*y + 5. What is the second derivative of g(p) wrt p?
-54*p + 2
Suppose 0 = 4*a - 7*a + 18. Suppose -5*x - 1 + 31 = 0. Find the first derivative of 1 + x*s - a*s + s**2 wrt s.
2*s
Let m be 220/30 + (-1)/3. Let i(t) = -t**2 - 14*t - 17. Let p be i(-12). What is the first derivative of -m*z**2 - 2*z**3 - 5 + p*z**2 + 0*z**3 wrt z?
-6*z**2
Suppose 46 = 117*u - 188. Let d(i) be the second derivative of 0 + 2/5*i**5 - 3*i - 5/6*i**4 + 0*i**3 + 0*i**u. What is the third derivative of d(t) wrt t?
48
Suppose 0 = 3*a, -3*a - 6 = -2*o - o. What is the third derivative of 32*x**2 - 18*x**3 - 74*x**2 + x**o wrt x?
-108
Let x(q) be the third derivative of 5*q**7/6 - 605*q**3/6 + 609*q**2. What is the first derivative of x(r) wrt r?
700*r**3
What is the third derivative of -75*n**3 - 5 - 309*n**2 + 5 + 321*n**2 wrt n?
-450
Find the third derivative of -2*j**3 - 10*j**2 - 8*j**2 + 4*j**2 + 6 - 3*j**2 + 0*j**4 + 24*j**4 wrt j.
576*j - 12
Let l(q) be the second derivative of -5*q**7/7 + q**6/10 - 17*q**3/2 - q**2 + 139*q. Find the second derivative of l(v) wrt v.
-600*v**3 + 36*v**2
Let g be (-2)/(-3)*(-15)/(-2). Suppose n + g = 10. Find the second derivative of 4*s - s - 2*s + 0*s**5 - s**n wrt s.
-20*s**3
Find the second derivative of 39*f + 0 + 0 + 77*f**2 - 18*f**2 wrt f.
118
Find the first derivative of -36*t**4 + 12*t - 12*t + 40*t**4 + 181 - 18*t**2 wrt t.
16*t**3 - 36*t
Suppose 3*w - 10 = -2*w. Let j = 23 + -19. Find the third derivative of j*v**2 + v**5 - v**w - 5*v**5 wrt v.
-240*v**2
Suppose -v + 3 = 0, -v = -5*y + 23 + 19. Find the first derivative of -2*x**4 + 3 + y*x**4 - 20*x - 9*x**4 wrt x.
-8*x**3 - 20
Let r(q) be the first derivative of -5 - 2/5*q**5 + 0*q + 0*q**2 + 4/3*q**3 + 0*q**4. Find the third derivative of r(w) wrt w.
-48*w
Find the second derivative of 114*o - 92*o - 3223*o**2 + 121*o + 3087*o**2 wrt o.
-272
Let x(p) be the third derivative of p**7/105 - 43*p**5/10 - 167*p**3/6 + 15*p**2. What is the derivative of x(a) wrt a?
8*a**3 - 516*a
Let s(k) be the first derivative of -3*k**5/5 + 15*k**2 + 40*k - 11. Let j(c) be the first derivative of s(c). What is the first derivative of j(l) wrt l?
-36*l**2
Let r(k) = -82*k + 4. Let f be r(-2). Suppose 0 = -4*i - 0*i + f. Differentiate -3*x - 36 + i - 3*x with respect to x.
-6
Let i(h) = 152*h + 167. Let v(u) = -150*u - 168. Let m(o) = 3*i(o) + 2*v(o). Find the first derivative of m(s) wrt s.
156
Let m(n) be the second derivative of 31*n**4/3 - 5*n**3/3 + n**2 + n + 28. Find the second derivative of m(c) wrt c.
248
Suppose -v = v - 6. What is the third derivative of -14 + 14 - 4*x**v + 13*x**2 - 5*x**3 wrt x?
-54
Let z(s) be the third derivative of -83*s**4/12 + 247*s**3/6 + 434*s**2. Differentiate z(w) wrt w.
-166
Suppose 8*d = 11*d - 21. Suppose -2*f - l = 2*f - 23, f = -5*l + 20. Find the second derivative of 4*p + p**5 - d*p - 2*p + 0*p**f wrt p.
20*p**3
Let d be -2*-6*4/16. Find the third derivative of 3*x**2 + 32*x**3 - 9*x**3 - 4*x**d - 2*x**2 wrt x.
114
Let w(v) = -1055*v**3 + 160*v**2 + 55*v + 100. Let f(a) = 117*a**3 - 18*a**2 - 6*a - 11. Let d(i) = 55*f(i) + 6*w(i). Find the third derivative of d(y) wrt y.
630
Let b(i) be the third derivative of 71*i**7/105 + 29*i**5/20 - 48*i**2 - i. Find the third derivative of b(x) wrt x.
3408*x
Let z(s) be the first derivative of -21*s**5 - 78*s**2 - 33. Find the second derivative of z(w) wrt w.
-1260*w**2
Find the first derivative of 77*l**4 + 719*l**3 - 361*l**3 - 358*l**3 + 207 wrt l.
308*l**3
Let a(t) = -183*t**5 - 3*t**3 + 13*t**2 - 3*t + 1. Let b(d) = d**5 - d**3 + d**2 - d - 2. Let j(m) = a(m) - 3*b(m). What is the third derivative of j(n) wrt n?
-11160*n**2
Let k = -14 - -20. Let l(q) = 10*q**4 - 6*q**3 - 6*q + 7. Let a(y) = -20*y**4 + 13*y**3 + 13*y - 14. Let s(x) = k*a(x) + 13*l(x). Differentiate s(g) wrt g.
40*g**3
Let h be 12/(-28) + 62/14. What is the second derivative of 69*x + 2*x**4 - 85*x + 5*x**h + 2*x**4 wrt x?
108*x**2
Suppose -4*s = -2 - 10. Let f(a) = 2*a + 0*a + 3*a**2 - 2*a**2. Let z(y) = -y**2 - y. Let b(g) = s*f(g) + 4*z(g). What is the second derivative of b(x) wrt x?
-2
Let j(i) = 79*i**6 + 5*i**5 - 4*i**2 - i. Let o(a) = -78*a**6 - 4*a**5 + 3*a**2 + 2*a. Let y(c) = 4*j(c) + 5*o(c). Find the third derivative of y(p) wrt p.
-8880*p**3
Let t(m) = -m**3 - 9*m**2 - 7*m + 1. Let c be t(-10). What is the third derivative of -190*d**4 + 23*d**2 - 3*d + c*d**4 + 3*d wrt d?
-456*d
Let y = -32 + 27. Let c(j) = 54*j**2 - 5*j - 45. Let k(i) = -81*i**2 + 7*i + 68. Let w(o) = y*k(o) - 7*c(o). Differentiate w(l) wrt l.
54*l
Let i(v) be the first derivative of 0*v - 29 - 12*v**2 - 23/3*v**3. What is the second derivative of i(g) wrt g?
-46
What is the first derivative of -91*q**4 + 56*q**4 + 34 + 102 + 112 - 37*q**4 + 4*q**2 wrt q?
-288*q**3 + 8*q
Find the first derivative of 3 + 24 + 20*k + 41 - 22 wrt k.
20
Suppose -5*s - 4 = -f - 4*s, -7 = -2*f + 3*s. What is the second derivative of 42*t**f - 31*t - 5*t**5 + 39*t - 44*t wrt t?
740*t**3
Let c(z) be the second derivative of 55*z**7/42 + 7*z**3/6 + z**2 + 18*z - 1. What is the second derivative of c(w) wrt w?
1100*w**3
Let k(h) = -201*h**2 + 267*h - 12. Let g(t) = 201*t**2 - 267*t + 9. Let r(m) = 4*g(m) + 3*k(m). Find the second derivative of r(p) wrt p.
402
Suppose -70 = 2*w - 16*w. Let c(g) be the first derivative of 6 + w*g + 3/2*g**2. What is the derivative of c(y) wrt y?
3
Suppose -2*s = z - 5*s - 28, -40 = -3*z - 2*s. Let b = -14 + z. What is the second derivative of 7*c - 4*c - 5*c**2 - 2*c**b wrt c?
-14
Let b(p) be the second derivative of -409*p**6/15 + 17*p**4/6 - p**3/3 - 8*p + 20. What is the third derivative of b(g) wrt g?
-19632*g
Let i be (-4 - 18/(-4))*6. Let d(a) = a**3 - 2*a**2 - 2*a - 2. Let m be d(i). What is the derivative of 0 - 3*q + m + 2 wrt q?
-3
Suppose -10 = -7*d + 2*d. What is the derivative of -2*l**3 + 18*l**3 + d + l**3 wrt l?
51*l**2
Suppose 28*q - 24*q - 20 = 0. What is the third derivative of 12*a**5 - 31*a**2 + 3*a**q + 13*a**5 wrt a?
1680*a**2
Suppose w + 11 = 2*l, 6*l = 2*l + 3*w + 27. Suppose l*i + m - 22 = 0, 5*m - 13 - 17 = -5*i. Find the second derivative of 3*d - i*d + 2*d - 7*d - 13*d**4 wrt d.
-156*d**2
Suppose i - 13 = -5*u, 14*i + 6 = 16*i. Differentiate 6*o**u + 182 + 0*o**2 - 156 with respect to o.
12*o
Let h(n) be the third derivative of -n**8/56 - n**7/105 + 25*n**5/4 + 198*n**2 - 1. What is the third derivative of h(o) wrt o?
-360*o**2 - 48*o
Let j be (-330)/(-70) + 2/7. What is the second derivative of d**5 + 21*d**j + 23*d - 2*d wrt d?
440*d**3
Let x(c) be the first derivative of -c**5/5 - 5*c**4/4 - 118*c + 31. Find the first derivative of x(i) wrt i.
-4*i**3 - 15*i**2
Suppose -2*q - 19 = -25. Find the first derivative of 280*n**2 - q*n**3 - 28 - n**3 - 273*n**2 wrt n.
-12*n**2 + 14*n
Let t(s) = 3*s**3 - 41*s**2 + 10*s - 1. Let n(r) = r**3. Let o(z) = -6*n(z) + t(z). Find the second derivative of o(g) wrt g.
-18*g - 82
Suppose 9*f - 3 - 33 = 0. Differentiate -1 - 8*d + 2 + f with respect to d.
-8
What is the second derivative of 88*s**3 + 5 + 837*s + 835*s - 1680*s wrt s?
528*s
Let o be 14/5*170/119. Let q(j) be the second derivative of 3/10*j**5 + 0*j**3 + 2*j**2 + 0 + 7*j + 