- 1 + 3 + 22*l wrt l.
120*l**2 - 14
Let b(a) be the second derivative of 7*a**6/5 + a**3/6 - 111*a**2/2 - 109*a. Find the second derivative of b(f) wrt f.
504*f**2
Suppose p + 2*v = 0, 4*v - 1 - 1 = -3*p. Differentiate 33*t**2 - 6*t**p + 9 - 15*t**2 wrt t.
24*t
Let y be ((-2)/(-6))/(21/18 - 1). Let p(t) be the first derivative of 0*t**3 - 3*t - 6 + 0*t**y + 5/4*t**4. What is the first derivative of p(j) wrt j?
15*j**2
Let n(c) be the third derivative of -2*c**7/7 - 185*c**3/6 + 145*c**2. What is the derivative of n(i) wrt i?
-240*i**3
Let u be (-6)/10 + (-3)/(-5). Suppose -2*q + 27 = 3*w, u = -3*w - 3*q - 11 + 41. What is the derivative of -w*m + 10*m - 7 + 4*m wrt m?
7
Let l(c) = 16*c**6 - 5*c**5 + 7*c**2 + 2*c. Let f(i) = 48*i**6 - 16*i**5 + 22*i**2 + 6*i. Let y(t) = 2*f(t) - 7*l(t). Find the third derivative of y(z) wrt z.
-1920*z**3 + 180*z**2
Let u(p) = -1 - 2*p**2 + 5*p**2 - 3*p**2 - 3*p - 2*p**3 - 3*p**2. Let j be u(-2). What is the second derivative of -i**3 + j*i**3 - 8*i**3 - 2*i**5 + i wrt i?
-40*i**3
Let s be (-4)/3 - (-80)/(-12). Let z = 7 - s. Find the second derivative of -3*d**3 + z*d**3 + 22*d - 24*d wrt d.
72*d
What is the second derivative of 62 - 69*c + 119*c + 2*c**2 - 48*c - 41*c**4 wrt c?
-492*c**2 + 4
Let h(l) = -5*l**4 + 4*l - 5. Let k be 5 - ((7 - 2) + -4). Let p(v) = v**4 + v - 1. Let i(o) = k*p(o) - h(o). What is the first derivative of i(u) wrt u?
36*u**3
Let a(m) = 97*m**4 - 4*m**2 + 8*m - 6. Let u(k) = 97*k**4 - 3*k**2 + 6*k - 5. Let w(p) = 3*a(p) - 4*u(p). Differentiate w(i) with respect to i.
-388*i**3
Let k(v) be the second derivative of 3*v**8/14 - v**7/21 + v**4/4 + 8*v**2 - 2*v + 93. Find the third derivative of k(s) wrt s.
1440*s**3 - 120*s**2
Let f(t) = -t**2. Let x(o) = 70*o**2 - 37*o. Let p(i) = -6*f(i) + x(i). Find the second derivative of p(d) wrt d.
152
Differentiate 11 + 16 + 59*g - 3 with respect to g.
59
Let c(z) be the third derivative of 67*z**8/168 + z**7/210 - z**5/60 + 67*z**3/6 + 522*z**2. What is the third derivative of c(w) wrt w?
8040*w**2 + 24*w
Let h(f) = -5*f - 57. Let k(l) = 11*l + 113. Let o(u) = -7*h(u) - 3*k(u). What is the derivative of o(y) wrt y?
2
Suppose 194 = 109*d - 24. Let o(q) be the first derivative of -11/4*q**4 - 14 + 0*q - d*q**3 + 0*q**2. Find the third derivative of o(s) wrt s.
-66
Let l = 8 + -8. Suppose 3*v - 6 = -l*v. Find the first derivative of 4 + 5 - v + 2*h**3 wrt h.
6*h**2
Let n(c) = c**2 - 2*c - 4. Let w be n(4). What is the second derivative of 2*h**4 + 17*h + 0*h**w - 3*h**4 - 10*h**4 wrt h?
-132*h**2
Let w(j) be the second derivative of -5*j + 0 - 25/6*j**4 + 0*j**2 - 5/6*j**3. Find the second derivative of w(a) wrt a.
-100
Let b(q) be the second derivative of q**8/1680 + q**5/20 - 7*q**3/6 + 9*q. Let t(g) be the second derivative of b(g). Find the second derivative of t(z) wrt z.
12*z**2
Find the third derivative of 122*j**4 + 2*j**4 - 571*j**2 + 343*j**4 - 25*j**2 + 280*j**4 wrt j.
17928*j
Let v(i) be the first derivative of -100*i**3/3 - 26*i**2 - 101. Find the second derivative of v(j) wrt j.
-200
Let z be (-9)/(-6) - (-5)/10. Suppose -5*x + z*c = -7, -2*c = 4*x - 2*x - 14. Differentiate 5*q - 2*q - 5*q - x*q - 4 wrt q.
-5
Let s(c) = c**3 - 5*c**2 + 4*c + 3. Let a be s(4). Suppose -a*z - 3*y + 11 = -4*y, y = -z - 3. Differentiate -z + 5 - 7 + 8*q**4 wrt q.
32*q**3
Suppose -t - 3*r = -36, -3*r + 109 = 4*t + 2*r. What is the second derivative of 10*s**2 + t*s + 5*s**2 - 4*s**2 wrt s?
22
Let w be ((-3)/(-2))/(18/36). Differentiate -t**2 + 73 + w*t**2 + 2*t**2 - 76 with respect to t.
8*t
Let t(l) be the first derivative of -3*l**7/7 - 81*l**5/5 + 37*l**3/3 + l**2/2 + 848. Find the third derivative of t(u) wrt u.
-360*u**3 - 1944*u
Find the third derivative of 110*g**3 - 121*g**2 - 74*g**3 - 43*g**3 - 51*g**3 wrt g.
-348
Let o(f) be the second derivative of -12*f - 1/2*f**2 + 0*f**5 + 1/6*f**6 + 0*f**4 + 0 + 0*f**3. Differentiate o(q) wrt q.
20*q**3
Let r(c) = 741*c**3 + 17*c**2 - 83. Let t(o) = 185*o**3 + 4*o**2 - 20. Let u(m) = -2*r(m) + 9*t(m). Find the third derivative of u(s) wrt s.
1098
Let w be 4*-2*(2 + -6)/4. Find the second derivative of w*c**5 + c + 2*c + 10*c**5 wrt c.
360*c**3
Let n(l) = -1. Let q(w) = 54*w**3 + 20*w**2 - 6. Let y = 15 + -14. Let d(p) = y*q(p) - 6*n(p). What is the third derivative of d(h) wrt h?
324
What is the third derivative of 27*u**6 - 72*u**2 + 6*u**3 + 23*u**3 - 24*u**6 - 5*u**3 wrt u?
360*u**3 + 144
Differentiate -63 + 12 - 59*y - 35 + 5 with respect to y.
-59
Let s = 8 - 2. Suppose 12*h = 2 + 46. Find the first derivative of 2 - h + 0 + s*m**2 + 0 wrt m.
12*m
Let b(c) = -35*c**2 - 29*c - 598. Let w(j) = -12*j**2 - 9*j - 198. Let q(v) = 2*b(v) - 7*w(v). What is the first derivative of q(i) wrt i?
28*i + 5
Let q(n) be the third derivative of n**6/180 - n**5/20 + 25*n**4/24 - 17*n**2. Let d(j) be the second derivative of q(j). Differentiate d(w) with respect to w.
4
Let r(t) = -29*t**2 + t**3 - 22*t**3 + 9*t + 0 + 0. Let c(m) = -11*m**3 - 14*m**2 + 4*m. Let v(o) = 9*c(o) - 4*r(o). Find the third derivative of v(z) wrt z.
-90
Let h(g) = -g**3 + g**2 - g - 1. Let m(b) = 23*b**3 + 6*b**2 - 6*b - 32. Let n(c) = -6*h(c) + m(c). What is the first derivative of n(t) wrt t?
87*t**2
Let v(t) = 14*t**3 + 11*t - 49. Let o(g) = 5*g**3 + g - 2*g**3 + g - 10. Let i(w) = -22*o(w) + 4*v(w). Differentiate i(m) wrt m.
-30*m**2
Let v(t) = 5*t**2 - 4*t + 78. Let r(z) = -z**3 + 7*z**2 - 6*z + 117. Let x(g) = -5*r(g) + 7*v(g). Differentiate x(f) wrt f.
15*f**2 + 2
Suppose 0 = u - 5*u + 16. Suppose u*m - 27 = 5. Find the second derivative of 13*q - m*q**2 - 4*q + 10*q**2 wrt q.
4
Let z(x) = 130*x**5 - 12*x**3 + 102*x**2 - 12*x. Let a(n) = n**3 - n**2 + n. Let p(r) = -12*a(r) - z(r). Find the third derivative of p(f) wrt f.
-7800*f**2
Let m(a) = 42*a**3 + 25*a**2 + 4. Let o(w) = 42*w**3 + 25*w**2 + 6. Let f(z) = 3*m(z) - 2*o(z). Find the third derivative of f(c) wrt c.
252
Let g(s) = -s**2 - 9*s - 4. Let w be g(-8). What is the third derivative of -3 + 55*r**w + 13*r**2 + 3 - 41*r**4 wrt r?
336*r
Suppose -2*s - 261 = l - 906, 3*l + 4*s - 1943 = 0. Find the second derivative of -l*r**4 + 653*r**4 + 6*r**5 - r wrt r.
120*r**3
Let f(m) be the first derivative of 15*m**4/2 - 8*m + 38. What is the derivative of f(c) wrt c?
90*c**2
Find the third derivative of -28*i**2 - 17*i**4 - 2*i**5 - 792 + 792 + 3*i**3 - 3*i**3 wrt i.
-120*i**2 - 408*i
What is the derivative of 7*s**4 + 87 - s**3 - 113 + 5*s**3 wrt s?
28*s**3 + 12*s**2
Let y(h) = h**2 + 9*h - 6. Let f be y(-10). Differentiate -7 + f - 4 + q**2 - 1 with respect to q.
2*q
Let j(i) be the first derivative of 414*i**5/5 + 2*i**3/3 + 471*i**2 - 873. What is the second derivative of j(s) wrt s?
4968*s**2 + 4
Differentiate -14*x**4 - 18*x + 31*x - 89 - 11*x + 20*x**4 - 51*x**4 wrt x.
-180*x**3 + 2
Let d(g) = -15*g**3 - 10*g**2 + 3*g - 15. Let y(u) = 8*u**3 + 6*u**2 - 2*u + 8. Let l(f) = 3*d(f) + 5*y(f). Find the second derivative of l(v) wrt v.
-30*v
Let z(m) = -53*m**2 - 29*m + 169. Let w(q) = -13*q**2 - 7*q + 42. Let s(k) = 9*w(k) - 2*z(k). What is the derivative of s(g) wrt g?
-22*g - 5
Let x(f) be the third derivative of 0*f + 1/42*f**8 + 0*f**4 + 0 + 0*f**6 + 0*f**3 - 15*f**2 - 1/30*f**5 + 0*f**7. Find the third derivative of x(n) wrt n.
480*n**2
Let a(v) = 1140*v**3 - 120*v**2 - 3*v - 14. Let y(c) = -570*c**3 + 61*c**2 + 2*c + 8. Let q(u) = 4*a(u) + 7*y(u). What is the third derivative of q(d) wrt d?
3420
Let f(x) be the second derivative of x**9/2520 + x**7/504 - x**4/2 + 11*x. Let s(p) be the third derivative of f(p). Find the third derivative of s(n) wrt n.
144*n
Let z(t) = -3*t**2 - t + 184. Let s(b) = -13*b**2 - 5*b + 737. Let a(x) = 2*s(x) - 9*z(x). Differentiate a(g) wrt g.
2*g - 1
What is the third derivative of -271*n**2 + 180*n**2 - 204*n**2 + 115*n**5 + 13*n**5 + 577*n**5 wrt n?
42300*n**2
Suppose 150 = 5*n + 35. What is the second derivative of 15*b**2 + n*b**2 - 6*b - 36*b**2 + 31*b wrt b?
4
Find the second derivative of -179*s**2 - 200*s**4 + 179*s**2 - 111 + 148 - 3*s wrt s.
-2400*s**2
Find the third derivative of 9*p**4 + 21*p**3 + 446*p**2 - 3*p**3 - 64*p**2 wrt p.
216*p + 108
Let g(i) be the second derivative of i**8/56 - 5*i**7/42 - 53*i**4/12 - 9*i - 2. What is the thi