- 13 + 6 + 6*t**4 wrt t.
32*t**3
Let i(d) = 6*d**2 + 30*d + 9. Let n be i(-7). What is the first derivative of 1 + 4 - 48*m**3 + n*m**3 - 48*m**3 wrt m?
-9*m**2
What is the second derivative of -131*y - y**2 - 7*y**2 + 8*y**4 + 7*y**2 wrt y?
96*y**2 - 2
What is the third derivative of 87*t**3 + 8*t**5 - 8*t**5 + 2*t - 85*t**2 + 81*t**2 + 2*t**6 wrt t?
240*t**3 + 522
Suppose 4*p = -2*k + p - 45, -4*k = 4*p + 100. Let u be (-3 - k/9)*12. Differentiate 2 + 9*f**u + 2*f - 2*f - 7 with respect to f.
36*f**3
What is the second derivative of -125*l**2 - 3*l + 15711*l**4 - 15713*l**4 + 13*l wrt l?
-24*l**2 - 250
Let k(s) be the first derivative of -5/3*s**3 + 0*s - 7 - 15/2*s**2. What is the second derivative of k(l) wrt l?
-10
What is the third derivative of 2*u - 21*u**2 - 13*u**2 - 14*u**2 + 51*u**2 + 20*u**4 wrt u?
480*u
Let f(w) be the third derivative of 47*w**6/60 + 91*w**4/24 + 28*w**2. Find the second derivative of f(g) wrt g.
564*g
Suppose -4*i + 44 = k, -i + 2*k + 20 = -0*k. Find the third derivative of -7*h**6 + 9*h**2 - 14*h**6 + 0*h**2 + i*h**6 wrt h.
-1080*h**3
Suppose 83 = 8*z - 349. What is the second derivative of -21*j**3 - 21*j + z*j**3 - 20*j**3 wrt j?
78*j
Let b(o) be the second derivative of 0 - 18*o - 25/12*o**4 + 0*o**2 + 0*o**3 + 0*o**5 - 1/5*o**6. Find the third derivative of b(i) wrt i.
-144*i
What is the third derivative of 33*b**2 - 98 + 60 - 2*b**5 + 43 - 80*b**2 + 90*b**4 wrt b?
-120*b**2 + 2160*b
Let q(s) be the second derivative of 33*s**6/5 + 127*s**4/12 + 33*s. Find the third derivative of q(t) wrt t.
4752*t
Differentiate 14837*u - 23 - 14837*u + 234*u**2 - 51 - 147 wrt u.
468*u
Let p(g) be the second derivative of 19*g**3/6 + 19*g**2/2 + 35*g + 1. Differentiate p(a) wrt a.
19
Let x(l) be the third derivative of 0*l**4 + 2/3*l**3 - 19*l**2 + 0*l**6 - 8/105*l**7 + 0*l + 0*l**5 + 0. Differentiate x(s) wrt s.
-64*s**3
Suppose 2*d - q - 6 = 0, 12*d - 24 = 8*d - q. Let h = -11 - -16. Find the third derivative of -11*s**2 - 12*s**5 - s**h + 2*s**d wrt s.
-660*s**2
Let u(d) = -26*d**4 + 4*d**3 - 24*d**2 + 2. Let h(j) = -j**4 + j**3 - j**2 - j + 1. Let b(y) = -2*h(y) + u(y). What is the third derivative of b(x) wrt x?
-576*x + 12
Let s(v) = 41*v**3 + 11*v**2 - 3*v - 3. Let i(x) = x**2 + x + 1. Let q(a) = -3*i(a) - s(a). Find the third derivative of q(l) wrt l.
-246
Let d(u) be the first derivative of -3*u**5/4 - 3*u**4/4 + 7*u + 7. Let l(i) be the first derivative of d(i). Find the third derivative of l(x) wrt x.
-90
Find the second derivative of -3 - 19*u**3 + 27*u**2 - 16*u**2 - 13*u**2 + 4*u - 2*u wrt u.
-114*u - 4
Let d(p) be the first derivative of -23*p**5/60 - 11*p**3/2 - p**2/2 + 13. Let s(n) be the second derivative of d(n). Differentiate s(z) wrt z.
-46*z
Let t(a) be the second derivative of a**7/42 + a**5/20 + 20*a**4/3 + 17*a. Find the third derivative of t(m) wrt m.
60*m**2 + 6
Let v be -1*(0 - -1) + 10. Find the first derivative of 11 - 2 - 4 + 8 + v*z**3 wrt z.
27*z**2
Let g(c) = -29*c**2 - 7*c + 230. Let z(v) = -30*v**2 - 8*v + 230. Let f(t) = -4*g(t) + 3*z(t). What is the first derivative of f(j) wrt j?
52*j + 4
Let x(n) be the second derivative of -n**6/10 - 11*n**5/5 - n**4 - 5*n**3/3 + 123*n. Find the third derivative of x(p) wrt p.
-72*p - 264
Let k = 40 - 24. Let s be ((-40)/k)/(1/(-2)). Find the third derivative of -1 - 10*x**2 + 8*x**s - 5 + 6 wrt x.
480*x**2
What is the first derivative of 39*x**4 + 7*x**2 + 40 + 6*x**2 + 34 - 12*x**2 wrt x?
156*x**3 + 2*x
Find the second derivative of 415*m**2 - 166*m**2 + 2*m + 314*m**2 - 459 wrt m.
1126
Let k = 71 + -70. Let i(l) = -l**4 - l**3 - 1. Let m(y) = 11*y**4 - 2*y**3 - 3*y - 2. Let w(j) = k*m(j) - 2*i(j). Find the second derivative of w(x) wrt x.
156*x**2
Let j(y) = 2*y + 24. Let z be j(-11). What is the third derivative of 56*v - 56*v - 2*v**z + 7*v**3 + 25*v**2 wrt v?
42
Let d = 157/477 - -2/477. Let h(l) be the first derivative of -1/4*l**4 + d*l**3 + 0*l + 0*l**2 - 4. Find the third derivative of h(a) wrt a.
-6
Find the first derivative of 423*h**2 - 110*h**2 + 1289 - 501 + 333*h**2 wrt h.
1292*h
Let g(i) = 2*i + 8*i**2 - 5*i + i - 2*i**2 + 48. Let n(u) = -3*u**2 + u - 25. Let f(x) = 4*g(x) + 7*n(x). Differentiate f(a) wrt a.
6*a - 1
Suppose -1 + 3 = -d, -4*u - d = -38. Find the second derivative of 21*m + 6*m**4 - u*m + 18*m + 6*m wrt m.
72*m**2
Find the third derivative of 6*d - d + 2*d**3 - 10*d**2 - 28*d**3 + 74*d**3 wrt d.
288
Let v = -43 - -47. Find the second derivative of -24*t + 19*t + t**4 + v*t**4 wrt t.
60*t**2
Let p(o) be the third derivative of 11*o**4/24 + 36*o**3 - o**2 + 2. What is the first derivative of p(x) wrt x?
11
Let s = -3 + 5. What is the second derivative of 97*a**s + 3*a - 97*a**2 + 21*a**4 wrt a?
252*a**2
Let r(d) be the third derivative of 109*d**4/24 + 9*d**3 + 2*d**2 + 108. What is the first derivative of r(n) wrt n?
109
What is the third derivative of -31*r**2 + 2*r**4 - 2*r**3 + 3*r**4 + 108*r**2 wrt r?
120*r - 12
Let i be 1*-4 + (16 - 10). Suppose 3*m + 23 = p + p, 0 = -i*p + 2*m + 20. Find the third derivative of 4*l**2 + p*l**5 - 3*l**2 - 3*l**5 wrt l.
240*l**2
Let i(q) = -6*q - 4. Let t(s) = -1. Let l(d) = -i(d) + 5*t(d). Let f be l(1). What is the third derivative of 0*z**2 + 3*z**2 + f*z**4 + 4*z**4 + 3*z**2 wrt z?
216*z
Let m(y) be the first derivative of y**6/15 - 11*y**4/24 + 7*y**2/2 - 1. Let s(z) be the second derivative of m(z). What is the second derivative of s(f) wrt f?
48*f
Let t(s) be the third derivative of -s**6/24 + s**5/20 - s**4/24 + 11*s**3/2 + 152*s**2. Find the second derivative of t(z) wrt z.
-30*z + 6
Let v(c) = -30*c + 5*c - 6*c + 8 + 9*c. Let x(m) = -m**3 + m - 1. Let n(j) = -2*v(j) - 44*x(j). What is the derivative of n(i) wrt i?
132*i**2
Let f(j) be the second derivative of 36*j + 0*j**2 - 8/3*j**3 + 0*j**4 + 0*j**5 + 11/42*j**7 + 0 + 0*j**6. Find the second derivative of f(g) wrt g.
220*g**3
Suppose 35 = 5*t - 0*t. Differentiate -t - 14*h**3 + h**3 - 3 with respect to h.
-39*h**2
Let v be (-6)/4*(-320)/24. Differentiate 60*m + 25 - 6 - 29*m - v*m wrt m.
11
What is the third derivative of -41*x**6 + 35*x**6 - 3*x**2 - 4 + 10*x**2 wrt x?
-720*x**3
Let z(g) = 32*g**4 + 13*g. Let l(b) = -b**2 + b**2 + 1090*b**4 - 1089*b**4. Let i(s) = -5*l(s) + z(s). What is the second derivative of i(t) wrt t?
324*t**2
Find the second derivative of 0*y**3 + 216*y + 199525*y**4 - 219*y**2 - 199523*y**4 - 2*y**3 + 2*y**3 wrt y.
24*y**2 - 438
Let x(p) be the first derivative of 0*p**4 - 10/7*p**7 + 0*p**5 + 0*p**6 + 0*p - 2 + 11/3*p**3 + 0*p**2. What is the third derivative of x(i) wrt i?
-1200*i**3
Let t(j) = -3 + 60*j**2 - 49*j**2 - 3 + 8*j. Let x(u) = 23*u**2 + 16*u - 13. Let m(i) = 13*t(i) - 6*x(i). Find the second derivative of m(b) wrt b.
10
Let n(q) = -7*q**5 + 56*q**3 - 481*q**2 - 5*q + 5. Let i(x) = -x**5 + x**3 - x + 1. Let w(l) = -5*i(l) + n(l). Find the third derivative of w(d) wrt d.
-120*d**2 + 306
Let n(c) be the second derivative of 99*c**7/14 + c**6/30 - 5*c**4/12 + 2*c**2 + 62*c + 3. What is the third derivative of n(g) wrt g?
17820*g**2 + 24*g
Let j(v) be the second derivative of -197*v**7/21 - 11*v**4/3 - 225*v - 1. What is the third derivative of j(k) wrt k?
-23640*k**2
Let f(o) be the second derivative of 67*o**3/3 - 281*o**2/2 - 637*o. What is the first derivative of f(s) wrt s?
134
Let b(f) be the second derivative of 0 + 1/4*f**4 + 0*f**2 - 1/6*f**3 - 2*f. Find the second derivative of b(k) wrt k.
6
Differentiate -3*b + 50 - 1 - 7*b**3 + 8*b**3 wrt b.
3*b**2 - 3
Suppose -14*w + 41 + 1 = 0. Let n(t) be the second derivative of 0 + 0*t**4 - 1/10*t**5 - 3*t + 1/2*t**w + 0*t**2. Find the second derivative of n(k) wrt k.
-12*k
Let q be 5/((-30)/9)*4. Let a be 0*(-3)/q*1. What is the first derivative of a*p - p - 5 - 3*p wrt p?
-4
Suppose a - w - 1 = 0, -2*w + w - 19 = -4*a. What is the second derivative of 17*c**3 + 5*c - a*c**3 - 3*c**3 wrt c?
48*c
Let f(m) be the third derivative of 283*m**4/12 + 163*m**3/2 + 5*m**2 - 1. Differentiate f(a) wrt a.
566
Let l(j) = 2*j**4 - 6*j**3 - 60*j**2 - 8*j + 5. Let p(f) = -2*f**3 - f + 1. Let n(v) = -l(v) + 5*p(v). Find the third derivative of n(u) wrt u.
-48*u - 24
Let v be (-1 - 6/8)*-4. Let q be (-9 + 5)/2 - (-4 + -1). What is the first deri