second derivative of i(f) wrt f?
6*f + 18
Let o(y) be the third derivative of -y**6/120 + 19*y**5/30 - 23*y**3 + 5*y**2 - 1. Differentiate o(x) wrt x.
-3*x**2 + 76*x
Suppose -a + 5*p + 12 = -4, 5*a + 3*p - 24 = 0. What is the first derivative of -13*r**2 + 4 + 13*r + 21*r**2 + 4*r - a*r**2 wrt r?
4*r + 17
Let d(q) be the first derivative of -44*q**5/5 + 3*q**2/2 + 99*q + 28. Find the first derivative of d(o) wrt o.
-176*o**3 + 3
Let n(i) be the second derivative of -i**9/420 + i**6/72 + 25*i**4/12 + 9*i. Let k(a) be the third derivative of n(a). Find the second derivative of k(o) wrt o.
-432*o**2
What is the first derivative of -53 - 8*m + 73 + 123*m + 29 wrt m?
115
Let o(k) = -173*k**4 + 8*k**2 + 8*k + 121. Let w(i) = 172*i**4 - 6*i**2 - 6*i - 122. Let c(t) = -3*o(t) - 4*w(t). What is the derivative of c(x) wrt x?
-676*x**3
Suppose 0 = -4*n + 5*f + 20, -f - f = -8. What is the first derivative of 9 - 176*j**2 + 169*j**2 + n wrt j?
-14*j
Let w(g) be the third derivative of 161*g**5/30 - 77*g**4/6 + 330*g**2. Find the second derivative of w(o) wrt o.
644
Let w(i) = 2*i**5 + 143*i**4 - 543*i. Let u(b) = 4*b**5 + 286*b**4 - 1085*b. Let y(m) = 2*u(m) - 5*w(m). What is the second derivative of y(n) wrt n?
-40*n**3 - 1716*n**2
Suppose -3 = -2*r + i, r - 3 = -2*i + i. What is the second derivative of r*k + 3*k - 4*k**2 + 2*k - k wrt k?
-8
Let w(d) = -1. Let n(z) = -38*z + 20. Let l(x) = -2*n(x) - 28*w(x). What is the first derivative of l(f) wrt f?
76
Let r(t) be the second derivative of -31*t - 1/2*t**4 + 0*t**2 - 5*t**3 + 0. Find the second derivative of r(v) wrt v.
-12
Let i(g) = 12*g**2 + 2*g - 21. Let p(f) = -36*f**2 - 7*f + 64. Let l be (-117)/(-26)*(-8)/(-18). Let t(k) = l*p(k) + 7*i(k). Differentiate t(x) wrt x.
24*x
Let y(f) be the second derivative of 0 + 11*f**2 - 5/6*f**3 - 14*f. Find the first derivative of y(o) wrt o.
-5
Let y(q) be the first derivative of q**6/3 - 11*q**3 + 19*q**2 + q - 348. What is the second derivative of y(u) wrt u?
40*u**3 - 66
Let h(z) be the third derivative of 7/30*z**5 - 4/105*z**7 + 0*z**4 - 9*z**2 + 0*z**6 + 0 + 0*z**3 + 0*z. What is the third derivative of h(q) wrt q?
-192*q
What is the third derivative of 17*l + 21*l**2 - 57*l + 39*l - 101*l**3 wrt l?
-606
Let t(x) be the second derivative of -11*x - 1/4*x**5 - 13/2*x**2 + 0*x**4 + 0 + 0*x**3. What is the first derivative of t(p) wrt p?
-15*p**2
Suppose -c + 4 = -0. Find the third derivative of 4*b**c + 7*b**2 - b**4 - 11*b**4 wrt b.
-192*b
Let x = 10 - 14. Let r be x/(-5)*35/14. What is the third derivative of 5*o**4 - 3*o**2 + r*o**4 - 3*o**4 + o**2 wrt o?
96*o
Let d(f) be the first derivative of 289*f**3/3 - 123*f**2 - 70. What is the second derivative of d(t) wrt t?
578
Suppose -4*b = -6*b. Suppose -3*f + 15 = b, 0 = -r - 4*f + 10 + 14. Find the second derivative of -6*o + o**5 + r*o**5 + 3*o**5 wrt o.
160*o**3
Let b(g) = -g**2 - 17*g + 168. Let n be b(-24). Let x(f) be the first derivative of 4/3*f**3 - 4*f**2 + n*f - 5. Find the second derivative of x(z) wrt z.
8
What is the second derivative of 609*a + a + 11*a**3 + 131*a + 7*a**2 + 272*a - 60*a wrt a?
66*a + 14
Let v = -20 + 12. Let g = v + 8. Find the second derivative of 22*a**5 + g*a - 15*a**5 - 8*a wrt a.
140*a**3
Let i(n) be the third derivative of 31*n**8/112 - 5*n**4/12 + 74*n**2. What is the second derivative of i(q) wrt q?
1860*q**3
Suppose 2*u = -5*q - 19, 4*q + q + 25 = 0. Suppose -5*v + 5 = -10. What is the derivative of 14*k - 3 - v*k**u - 14*k wrt k?
-9*k**2
Let n = -10 + 16. Suppose 4*w + n = 5*w. What is the third derivative of -22 - 5*z**w + 22 + z**2 wrt z?
-600*z**3
Let l(o) be the first derivative of -149*o**3 + o**2 - 199*o + 273. Find the second derivative of l(q) wrt q.
-894
Let h(j) = j**3 - 4*j**2 - 3*j - 7. Suppose 0 = -v + 5*v - 20. Let u be h(v). Find the second derivative of -2*m**3 - u*m - 2*m + 3*m**3 wrt m.
6*m
Let i(l) be the first derivative of -84*l**2 - 514*l - 762. What is the derivative of i(a) wrt a?
-168
Suppose -4*n + 0 + 12 = 0. Let q(g) be the first derivative of -3 - 5*g**2 + 2*g**n + 0*g + 0*g + 4*g**2. What is the second derivative of q(s) wrt s?
12
Let p(x) = -44*x**2 + 5*x + 267. Let u(b) = 2*b**2 - b. Let r(g) = p(g) + 5*u(g). Differentiate r(a) with respect to a.
-68*a
Let g(i) be the second derivative of 5*i**7/7 + i**3/3 + 69*i**2/2 - 4*i + 7. Find the second derivative of g(n) wrt n.
600*n**3
Suppose 10*t - 46 = -6. Find the third derivative of -62*s**2 + 68*s**2 - 10*s**t + 0*s**4 wrt s.
-240*s
Differentiate -16 + 6*l**2 + 2*l**2 + 5*l**4 + 0*l**2 + 158 wrt l.
20*l**3 + 16*l
Let u(y) = 8*y**3 - 69*y**2 + 466*y - 7. Let b(d) = 7*d**3 - 71*d**2 + 466*d - 6. Let q(g) = 7*b(g) - 6*u(g). What is the second derivative of q(h) wrt h?
6*h - 166
Let q(a) be the second derivative of -82*a**5/5 + 283*a**4/12 - 188*a. Find the third derivative of q(h) wrt h.
-1968
Let a(r) = -79*r**2 - 2*r + 103. Let g(n) = -393*n**2 - 11*n + 516. Let o(j) = 11*a(j) - 2*g(j). Find the first derivative of o(s) wrt s.
-166*s
What is the second derivative of 408*z + z**2 - 3*z**3 + 46703 + 10*z**2 - 46703 wrt z?
-18*z + 22
What is the second derivative of -9*u - 2*u - 39*u**4 + 4*u wrt u?
-468*u**2
Find the third derivative of -151*f**6 - 160*f**6 + 328*f**6 + 5*f**2 - 15 wrt f.
2040*f**3
Let c(g) = -g + 6. Let p(o) = -2*o - 6. Let r be p(-3). Let y be c(r). Find the third derivative of -h**6 - y*h**6 - 6*h**2 + 3*h**6 + 3*h**6 wrt h.
-120*h**3
Let a(y) be the second derivative of -43*y**4/4 - 9*y**3/2 + 6*y**2 - 19*y + 7. Find the second derivative of a(w) wrt w.
-258
Find the third derivative of 321*q**3 - 5*q**2 - 29*q - 114*q + 156*q**3 + 2*q**2 - 63*q wrt q.
2862
Suppose -6 = -3*n + 3*p, 0 = 6*n - 4*n + 4*p + 2. Find the first derivative of 31*g**4 + n + 2 + 9 - 6 wrt g.
124*g**3
Let r = 2 - 19. Let d = 19 + r. Find the third derivative of -9*i**3 + 4*i**d - 13*i**2 + 7*i**2 wrt i.
-54
Let k(d) be the second derivative of 0 + 7/6*d**4 + 17/2*d**2 - 2*d + 0*d**3. What is the derivative of k(z) wrt z?
28*z
Let v = 107 + -84. What is the second derivative of 132*a - v*a**5 - 276*a + 179*a wrt a?
-460*a**3
Let r(h) = -2*h**2 - 10*h - 8. Suppose 5 + 0 = 5*w, i - 4*w + 8 = 0. Let j be r(i). Find the second derivative of -9*n**3 + 5*n**3 + j*n**3 + 9*n wrt n.
-24*n
Let s = -53 - -55. Find the third derivative of 35*d**2 + 6*d**6 + 6*d**6 - 29*d**s wrt d.
1440*d**3
Let n(c) = c**3 + c**2 - c. Let r(u) = 9*u**4 + 4*u**3 + 4*u**2 - 4*u - 15. Let d = 3 - 4. Let t(k) = d*r(k) + 4*n(k). What is the derivative of t(m) wrt m?
-36*m**3
Let o = -305 - -307. Let k(q) be the first derivative of 1/2*q**o - 2 - 4/5*q**5 + 0*q**4 + 0*q + 0*q**3. What is the second derivative of k(u) wrt u?
-48*u**2
Let l = -2 - -3. Let p be (l - (-1 + 0))/1. Find the second derivative of 0*k**3 + 13*k**p - 3*k**3 + 6*k - 13*k**2 wrt k.
-18*k
Let k(j) = -3*j + 2*j + 0*j**2 + 2*j**3 + 2*j**2. Let v be k(1). What is the second derivative of a + 2*a**v + 0*a + 3*a - 3*a wrt a?
12*a
Let x(i) = -7*i**3 + i. Suppose -t + 3 = 4. Let j be x(t). Find the third derivative of -a**2 - 6*a**2 - j*a**3 + 2*a**3 wrt a.
-24
Let q(s) be the first derivative of 155*s**4/4 + 10*s - 192. What is the first derivative of q(z) wrt z?
465*z**2
Let u(f) = f - 1. Let w(b) = 27*b**3 + 3*b - 2. Let j(v) = 3*v + 26. Let g be j(-9). Let n(m) = g*w(m) + 3*u(m). Differentiate n(c) wrt c.
-81*c**2
Suppose s - 12 + 4 = -2*y, 5*y - 20 = s. Let a be 15 - 4*2/y. Find the third derivative of 8*f**4 - a - 2*f**2 - 3*f**2 + 13 wrt f.
192*f
Let a(n) = -65*n**3 + 8*n**2 - 4*n - 95. Let k(q) = 2*q**2 - q + 1. Let c(w) = a(w) - 4*k(w). Find the first derivative of c(j) wrt j.
-195*j**2
Let k be (-3)/(-3) - (-6 + 5). Let f be 1008/12*12/7. Find the first derivative of 9*h**k - f*h - 7 - 4 + 144*h wrt h.
18*h
Let a be -3 + (-33)/(-3) + -4. Suppose -4*n - a = 2*b - 0*n, 3*n + 36 = 4*b. Find the third derivative of p**2 - 3*p**b + 4*p**6 - p**6 - p**6 wrt p.
-120*p**3
Let p(h) be the third derivative of 103*h**5/30 - 547*h**3/6 - 594*h**2. Differentiate p(j) wrt j.
412*j
Let s(q) = q**3 + 15*q**2 + 14*q + 19. Let u be s(-14). Let a(c) be the first derivative of u*c - 21*c - 9 + c**5 + c**5. Differentiate a(i) wrt i.
40*i**3
Find the second derivative of