 derivative of m(f) wrt f?
81*f**2
Suppose 5*j - 67 = 4*t, -j + 0 = 2*t - 5. Differentiate -5 - 14*v**4 + 11*v**2 - j*v**2 wrt v.
-56*v**3
Let u(m) be the second derivative of 0*m**2 - 11*m + 7/12*m**4 + 0*m**6 + 0*m**5 + 0*m**3 - 11/42*m**7 + 0. Find the third derivative of u(w) wrt w.
-660*w**2
Let x(z) = -z**3 - 5*z**2 + z + 1. Let m(o) = 2*o**4 - 566*o**3 + 119*o**2 - 5*o - 5. Let r(t) = m(t) + 5*x(t). What is the third derivative of r(d) wrt d?
48*d - 3426
Let n(m) be the first derivative of 9 + 0*m**3 - m + 0*m**2 - 7/2*m**4. What is the first derivative of n(v) wrt v?
-42*v**2
Let v(p) be the first derivative of -15*p**3 + 4 + 2*p + 19/2*p**2. Find the second derivative of v(b) wrt b.
-90
Let v be (-5)/(3 - 152/50). Let c be v/10 - 2/4. Find the second derivative of -6*p + c*p - 5*p - 7*p**4 wrt p.
-84*p**2
Let l(w) = 2*w**3 - 4*w**2 + 19*w - 95. Let z(c) = -2*c**3 + 3*c**2 - 19*c + 95. Let y(b) = 3*l(b) + 4*z(b). What is the first derivative of y(g) wrt g?
-6*g**2 - 19
What is the second derivative of 648*a**3 + 4*a + 7780 - 8167 - 5*a wrt a?
3888*a
Let d(s) = -s + 10. Let u be d(5). Let t(h) be the first derivative of -2*h - 1 - u - 1 + 0*h**4 - h**4. What is the first derivative of t(p) wrt p?
-12*p**2
Let k(h) = 488 - 256 - 244 + 3*h. Suppose 0 = 2*y - 11 + 1. Let z(b) = -2*b + 12. Let r(m) = y*z(m) + 6*k(m). What is the first derivative of r(j) wrt j?
8
Let s(r) = -3*r**3 + 12*r + 2. Let d(h) = 3*h**3 - 12*h - 3. Let q = 25 - 23. Let k(z) = q*d(z) + 3*s(z). Find the second derivative of k(o) wrt o.
-18*o
Suppose 0 = 2*z - 5*m - 29, 5*z - 4 = 4*m + 60. Suppose 0 = 5*a - a - 12. What is the second derivative of -29*g - z*g**5 + 19*g + 3 - a wrt g?
-240*g**3
Let y(u) = 218*u**3 - 329*u**2 + 11. Let b(h) = 109*h**3 - 165*h**2 + 6. Let n(q) = 11*b(q) - 6*y(q). What is the third derivative of n(g) wrt g?
-654
Find the second derivative of 251*o**2 + 367*o**2 - 541*o**2 - 76*o wrt o.
154
Find the second derivative of 15 - 26 - 409*t + 403*t**5 + 1 + 10 wrt t.
8060*t**3
Let s = 464 - 462. Let k(q) be the first derivative of 0*q - 3 + q**s + 0*q**5 + 0*q**4 + 0*q**3 + 1/2*q**6. Find the second derivative of k(v) wrt v.
60*v**3
Let j(c) be the third derivative of -2 - 53/6*c**3 + 0*c**5 + 0*c**4 + 0*c + 4/21*c**7 + 0*c**6 + 6*c**2. Differentiate j(f) wrt f.
160*f**3
Let o(g) be the first derivative of -2*g**3/3 + 13*g**2 + 289*g + 192. What is the derivative of o(c) wrt c?
-4*c + 26
Let j(x) be the first derivative of x**4/2 + 47*x**2/2 + 60*x - 120. What is the first derivative of j(t) wrt t?
6*t**2 + 47
Let f = -46 + 50. Find the third derivative of 2*z**4 + 5*z**4 + 3*z**4 + 9*z**2 - z**f wrt z.
216*z
Let z = -28 - -30. What is the third derivative of 2*a**3 + 2*a**z + 7*a**2 + 0*a**2 + 2*a**2 wrt a?
12
Let v(t) be the second derivative of 949*t**6/30 - t**4/12 + 195*t**2/2 - 123*t. Find the third derivative of v(w) wrt w.
22776*w
Let y be 9/(-27) - 1/(-3). Let l(s) be the second derivative of -9*s + 1/6*s**4 + 0 - 7/2*s**2 + y*s**3. What is the first derivative of l(u) wrt u?
4*u
Let q(f) = -3*f - 19. Let y be q(-8). What is the second derivative of -4*p**y - 3*p + 14*p**5 - 10*p wrt p?
200*p**3
Let l(s) be the first derivative of -16*s**5/5 - 13*s**2 - 2*s - 600. Find the second derivative of l(f) wrt f.
-192*f**2
What is the third derivative of -120*o**2 + 305*o**3 - 277*o**3 - 16*o**4 + 15*o**4 wrt o?
-24*o + 168
Suppose 20 = 4*r - 4*i, -4*i + 13 = r - 9*i. Suppose 3*f = g + f, r*g - 2 = 5*f. Differentiate p + g + 2*p - 3*p - 5*p wrt p.
-5
Suppose -2*h - 2 - 4 = 0. Let x(v) = -13*v**2. Let y(q) = 12*q**2 + q. Let p(s) = h*y(s) - 2*x(s). What is the second derivative of p(g) wrt g?
-20
Let z(d) be the second derivative of 272*d**7/21 - 7*d**4/12 + 4*d**2 + 222*d. What is the third derivative of z(s) wrt s?
32640*s**2
Let y(t) = -t**2 + 5*t. Let a be y(4). Suppose -5*o + 25 = 5*l - 2*o, a*l = -o + 13. What is the second derivative of -k + 4 + 2*k**l - 4 - k**2 wrt k?
2
Let r be 4 + 9/15 + 4/10. What is the second derivative of 0*c**r + 3*c**5 - 2*c - 15*c**5 wrt c?
-240*c**3
Let m(j) be the first derivative of -3*j**7/7 - 61*j**6/6 - 19*j**3/3 - j - 101. What is the third derivative of m(k) wrt k?
-360*k**3 - 3660*k**2
Let h(d) be the first derivative of -10*d**4 + 147*d - 86. Differentiate h(n) wrt n.
-120*n**2
Let f(b) = -14*b**4 + 23*b**3 + 5*b**2 + 76*b + 3. Let z(q) = -q**3 - q**2 - 4*q - 1. Let t(i) = f(i) + 5*z(i). Find the second derivative of t(r) wrt r.
-168*r**2 + 108*r
Let g(z) = z**3 + 5*z**2 - 2*z + 2. Let a be g(-5). Let m be (-3)/(-21) - 2336/(-14). What is the third derivative of -a*i**2 + m - 7*i**4 - 167 wrt i?
-168*i
Let i(v) = v**3 + 2*v**2 - 4*v - 3. Let o = 2 - 4. Let a be i(o). Find the third derivative of -a*h**5 - 14*h**2 + 15*h**2 - h**4 + h**4 wrt h.
-300*h**2
Suppose 10*j = -5 + 35. Find the second derivative of -46*q**3 + 16*q**5 - 28*q**5 + 46*q**j - 33*q wrt q.
-240*q**3
Let f(q) = 47*q**2 + 11*q - 1. Let h(w) = -189*w**2 - 43*w + 4. Let y(r) = 9*f(r) + 2*h(r). What is the second derivative of y(p) wrt p?
90
Let n(v) be the second derivative of 0 + 0*v**5 + 0*v**7 + 0*v**6 - 2*v + 0*v**3 - 15/56*v**8 - 13/12*v**4 + 0*v**2. What is the third derivative of n(t) wrt t?
-1800*t**3
Let s be 1 + ((-8)/16)/(1/(-2)). Find the third derivative of 18*a**4 - 8*a**4 + 17*a**4 + 33*a**s wrt a.
648*a
Suppose 4*y - 6 = y. Suppose y*a = -0*a + 12. Find the third derivative of l**6 + 9*l**6 - 2*l**2 - 13*l**a wrt l.
-360*l**3
Let h(m) be the third derivative of 17*m**6/60 - 17*m**3/2 - 20*m**2 - 2. What is the first derivative of h(x) wrt x?
102*x**2
Let n(s) be the second derivative of 0*s**2 + 1/6*s**3 + 0 - 29*s - 13/6*s**4. What is the second derivative of n(r) wrt r?
-52
Find the third derivative of -17*w**2 - 5*w**6 + w**2 + 65*w**6 + w**6 wrt w.
7320*w**3
Let f(i) be the second derivative of -70*i**3 - 11*i**2 - 2*i - 177. What is the first derivative of f(v) wrt v?
-420
Let t = 3110 + -3110. Let w(j) be the first derivative of -5/4*j**4 + t*j**2 + 0*j + 3 + 10/3*j**3. Find the third derivative of w(g) wrt g.
-30
What is the first derivative of 36*r**2 + 185*r**2 + 7 + 151*r**2 - 11*r**2 + 408 wrt r?
722*r
Find the third derivative of 35 + 9*f**5 + 55*f**2 - 54*f**2 - 23*f**5 wrt f.
-840*f**2
Let c(y) = 43*y + 59. Let f(x) = 12*x - 9 + 7 + 9*x + 31. Let b(s) = -4*c(s) + 9*f(s). What is the derivative of b(l) wrt l?
17
Let c(y) be the third derivative of 179*y**7/210 + y**6/60 - 6*y**5 + y**3/6 - y**2 + 102*y. What is the third derivative of c(w) wrt w?
4296*w + 12
Suppose 2*s - 79 = -l, 5*s + 2*l - 173 - 27 = 0. Suppose g + s = 8*g. Find the first derivative of 5 - 9 - 12*j**3 - g wrt j.
-36*j**2
Suppose 5*g + 0 = 10. Find the first derivative of p**g + p**2 - 27 - 11*p**2 wrt p.
-18*p
Let b(f) = -f**3 + 2*f - 1. Let s(h) = -354*h**3 + 6*h - 416. Let k(v) = 3*b(v) - s(v). What is the derivative of k(w) wrt w?
1053*w**2
Let f(k) be the second derivative of -17/12*k**4 + 0*k**5 + 0*k**6 + 0*k**3 + 0*k**2 - 3/28*k**8 + 0 + 7*k + 0*k**7. Find the third derivative of f(o) wrt o.
-720*o**3
Let q(g) = 141*g**2 - 7*g - 1118. Let u(h) = -69*h**2 + 4*h + 559. Let a(x) = 4*q(x) + 7*u(x). Differentiate a(m) wrt m.
162*m
Let p(l) be the first derivative of -17*l**4/4 - 4*l**3 - 3*l**2/2 + 57. What is the third derivative of p(k) wrt k?
-102
Let z(s) be the second derivative of s**5/20 - s**4/3 - 2*s**3/3 - s**2/2 - 2*s. Let o be z(5). Differentiate -2*a**4 + 2*a**4 - a**o - 2 wrt a.
-4*a**3
Let i(g) be the third derivative of 0*g + 0*g**6 + 0*g**3 + 8/105*g**7 - 13/24*g**4 + 23*g**2 + 0*g**5 + 0. What is the second derivative of i(a) wrt a?
192*a**2
Let t(p) be the second derivative of -7*p**6/15 - p**5/10 - 58*p**2 + 19*p. What is the derivative of t(k) wrt k?
-56*k**3 - 6*k**2
Let i(m) = -m**3 + 3*m**2 + 0*m**3 - m**2 - m**3 + 1 + 2*m. Let p be i(-1). Find the third derivative of -p*z**3 - 5*z**2 + z**2 + 3*z**6 + 3*z**3 wrt z.
360*z**3
Suppose -4*j + 12 = -3*f, 3*f = -2*f + 20. Differentiate -37 - j*o**3 + 32 + 3*o**3 wrt o.
-9*o**2
Differentiate -3*o**4 + 1997*o - 1997*o + 98 + 17*o**2 wrt o.
-12*o**3 + 34*o
Let h(x) be the third derivative of 71*x**8/336 - x**4/12 - 9*x**3/2 - 23*x**2 - 1. What is the second derivativ