 second derivative of p(r) wrt r?
-1068*r
Suppose 0 = 3*c - 7 + 1. What is the second derivative of -13*o - 44*o**c + 44*o**2 - 3*o**4 wrt o?
-36*o**2
Let y(z) be the first derivative of z**5/20 - 7*z**2/2 - z - 10. Let w(m) be the first derivative of y(m). Differentiate w(r) with respect to r.
3*r**2
What is the third derivative of u**3 + 1 + 8*u**2 - 18*u**6 + 3*u**3 - 9*u + 9*u wrt u?
-2160*u**3 + 24
Let o(z) = -3*z**3 - 120*z**2 + 304*z + 5. Let q(d) = -2*d**3 - 60*d**2 + 151*d + 2. Let v(x) = 2*o(x) - 5*q(x). Find the second derivative of v(r) wrt r.
24*r + 120
Let f(k) = 10*k**3 - 13*k**2 - k. Let a(s) = s**3 + s. Let l be (-5)/(3 + 2)*1. Let z(c) = l*f(c) - a(c). Find the third derivative of z(h) wrt h.
-66
What is the third derivative of 0*c**4 + c**4 - 166*c**2 - 144*c**3 - 6*c**2 + 832*c**2 wrt c?
24*c - 864
Suppose -2*n - 5*n + 28 = 0. What is the third derivative of 11*p**6 + 10*p**n - 20*p**4 + 6*p**2 + 10*p**4 wrt p?
1320*p**3
Let n(q) = -q**4 - q**2 - 1. Let b(a) = 10*a**4 + a**2 - 16. Let l = -9 + 10. Let h(j) = l*b(j) + n(j). What is the first derivative of h(r) wrt r?
36*r**3
Let b(n) = 7*n + 1. Let x be b(-1). Let f(s) = -3*s**4 - 6*s**3 - 6*s - 10. Let p(o) = o**4 - o**3 - o - 1. Let d(l) = x*p(l) + f(l). Differentiate d(c) wrt c.
-36*c**3
What is the third derivative of 2*w**3 + 4*w**3 + 35*w**2 - 24*w**3 wrt w?
-108
Let i(k) = -2*k + 13. Let a be i(5). Let j(z) be the first derivative of 5*z**5 - 5 - 6*z - 3*z**5 - a*z. Differentiate j(h) wrt h.
40*h**3
Let s(y) be the first derivative of y**4/4 - 22*y**2 + 73*y + 11. What is the derivative of s(f) wrt f?
3*f**2 - 44
What is the third derivative of -5*m**2 - 719 - 2*m**4 + 719 - 10*m + 12*m**6 wrt m?
1440*m**3 - 48*m
Let h = -54 - -61. Suppose -5*b + 2*o = 4*o - 29, -o = -3*b + 13. Find the second derivative of -15*n + n + 3*n - h*n**b wrt n.
-140*n**3
Let u(i) = -40*i**3 + 3*i**2 + 2. Let y(n) = -40*n**3 + 4*n**2 + 1. Suppose -3*a = -5*a - 6. Let j(f) = a*y(f) + 4*u(f). What is the derivative of j(h) wrt h?
-120*h**2
What is the first derivative of -793*u - 796*u + u**4 + 1589*u - 298 - 8*u**2 wrt u?
4*u**3 - 16*u
Find the second derivative of 90 + 8 + 2*y**2 - y - 55*y**3 + 2*y - 2*y + 35 wrt y.
-330*y + 4
What is the second derivative of 6*t + 6*t + 1 - 28*t - 3*t**3 + 10*t + 11*t**4 wrt t?
132*t**2 - 18*t
Let i(r) = 23*r**3 - 6*r + 163. Let q(v) = v**3 + v - 1. Let a(g) = i(g) + 4*q(g). What is the first derivative of a(k) wrt k?
81*k**2 - 2
Let k(t) be the first derivative of -51*t**4/4 + 92*t**3/3 - 185. What is the third derivative of k(w) wrt w?
-306
Suppose 4*x = 4*p - p + 335, -2*x + 3*p + 175 = 0. Find the third derivative of -x*l**4 + 79*l**4 + 9*l**6 + 9 + l**6 - 3*l**2 wrt l.
1200*l**3 - 24*l
Let n(h) = 2 + 19*h**2 - 11 + 28*h + 14. Let x(y) = y**2 - 1. Let z(a) = n(a) + 5*x(a). Find the second derivative of z(f) wrt f.
48
Let x(k) = -99*k**3 + 3*k**2 - 3*k - 60. Let u(p) = -p**3 + p**2 - p - 2. Let m(h) = -3*u(h) + x(h). What is the first derivative of m(q) wrt q?
-288*q**2
Let m(y) be the first derivative of 15 + 0*y**5 + 17/2*y**2 + 0*y**3 + 0*y**4 - 23/6*y**6 + 0*y. What is the second derivative of m(c) wrt c?
-460*c**3
Suppose 7*t = -2*r + 2*t + 25, -3*t + 15 = 4*r. Differentiate -7*u**3 - 4 + r*u**3 + 26*u**3 wrt u.
57*u**2
Let c(y) = -y**4 + y**3 + y**2 + 1. Let h(p) = 329*p**4 + 8*p**3 - 428*p**2 + 8. Let u(m) = -8*c(m) + h(m). Find the third derivative of u(s) wrt s.
8088*s
Suppose 0 = 5*j - 3*u - 31, -4*u = j - 3 + 6. Let f = 6 + -4. What is the derivative of -k**f - 3 + j + 3 wrt k?
-2*k
Suppose -2*j - 3*j = 0. Let g(f) = f**3 + f**2 + 4. Let z be g(j). What is the derivative of 5*d**z + 8 + 2 + 0 - 5 wrt d?
20*d**3
Let q(i) be the first derivative of -7*i**5/5 + 3*i**3/2 - 31*i - 24. Let t(g) be the first derivative of q(g). What is the second derivative of t(y) wrt y?
-168*y
Let m(g) be the second derivative of g**5/20 + 49*g**4/6 - g**2 + 27*g. What is the third derivative of m(b) wrt b?
6
Let k be 6*(4 + (-2 - 1)). Let o be (-3)/k*(-8)/2. What is the third derivative of 0*v**2 - v**2 - o*v**3 + 0*v**2 wrt v?
-12
Let y(v) = 4*v - 2. Let o(b) = -242*b**2 + 8*b + 577. Let t(n) = -o(n) + 2*y(n). Differentiate t(i) with respect to i.
484*i
Let r(g) = 295*g**2 + 42*g - 241. Let a(l) = -294*l**2 - 35*l + 240. Let z(c) = 6*a(c) + 5*r(c). Find the first derivative of z(h) wrt h.
-578*h
Let s = 35 + -33. What is the third derivative of -68*l**3 - 26*l**s - 4*l**2 + 21*l**3 wrt l?
-282
Let g = 18 - 4. Suppose -27*w + 25*w = -g. Find the third derivative of -w*u**2 - 459*u**3 + 459*u**3 + 7*u**4 wrt u.
168*u
Let s(x) be the first derivative of -54*x**5/5 + 97*x**2/2 + 39. What is the second derivative of s(k) wrt k?
-648*k**2
Let y be -4*((-15)/(-6))/(-5). Let w(g) = -g**3 - 17*g**2 - 32*g - 4. Let j be w(-15). Differentiate -j*t**y + 2 + 7*t**2 + 17*t**2 wrt t.
-4*t
Let i(l) = l + 7. Let c be i(-5). Let y be (0 + 2 + -1)*c. Find the third derivative of 6*j**2 - 11*j**y - 2*j**5 - 3*j**5 wrt j.
-300*j**2
Let k(v) be the first derivative of -2*v**7/7 - 14*v**5/5 + 3*v**3 + 2*v**2 + 60. What is the third derivative of k(r) wrt r?
-240*r**3 - 336*r
Let w = 16 - 8. Suppose 7 = 3*i - w. What is the second derivative of -i*z**2 + 5*z**2 + 6*z - 6*z**2 wrt z?
-12
Let v(z) be the first derivative of 23*z**8/336 + 29*z**5/60 - 15*z**2 + 21. Let l(w) be the second derivative of v(w). Find the third derivative of l(k) wrt k.
1380*k**2
Suppose 0 = 10*d - 12*d. Suppose d = 22*z - 19*z - 6. What is the second derivative of c**2 - c + c - z*c + 0*c**2 wrt c?
2
Let i(y) = 4*y**4 - 2*y**3 + 4*y**2 + 3*y - 3. Let b(f) = -f**2 - f + 1. Let s(j) = -6*b(j) - 2*i(j). What is the third derivative of s(q) wrt q?
-192*q + 24
Suppose 460*u - 60 = 448*u. Let q(c) be the second derivative of -8*c - 13/12*c**4 + 0*c**3 + 0 + 0*c**2 + 1/5*c**u. What is the third derivative of q(b) wrt b?
24
Find the second derivative of 13*b - 581*b**2 + 174*b + 544*b + 79*b - 255*b**2 wrt b.
-1672
Let s(q) = -8*q**2 - 18*q - 13. Let n(b) = -7*b**2 - 20*b - 14. Let f(j) = -6*n(j) + 5*s(j). Differentiate f(r) with respect to r.
4*r + 30
Let l(u) be the second derivative of 5*u**6/24 - 5*u**3 + 25*u**2/2 + 4*u. Let x(i) be the first derivative of l(i). What is the first derivative of x(d) wrt d?
75*d**2
Let h(y) be the third derivative of -7*y**4/2 - 67*y**3/6 + 11*y**2. Differentiate h(n) wrt n.
-84
Let y(q) be the third derivative of -q**5/15 - 2*q**4/3 - 35*q**3/6 + 11*q**2. Let z(w) be the first derivative of y(w). Differentiate z(h) wrt h.
-8
What is the derivative of 22*m + 23*m + 22*m - 104*m + 10*m + 372 wrt m?
-27
Suppose -2*f - 3*f = 40. Let u be (2/f + 1)*4. What is the second derivative of 3*n**2 - 22*n**3 + 3*n + 17*n**u - 3*n**2 wrt n?
-30*n
Let o(y) be the first derivative of -163*y**2 - 1023*y + 916. What is the first derivative of o(q) wrt q?
-326
What is the second derivative of 147*x**3 + 568*x**3 - x - 1828 + 1821 wrt x?
4290*x
Let t be (-2 - -1)/((-11)/22). Differentiate 3 + 4 - 3*s**3 - 2*s**3 + t wrt s.
-15*s**2
What is the first derivative of -y**2 - 23 - 9 + 2*y + 2*y + 19 wrt y?
-2*y + 4
What is the second derivative of 12 - 8 - 167*a - 5 + a**3 + 88*a**4 wrt a?
1056*a**2 + 6*a
Let u(s) = 208*s + 278. Let o(r) = 70*r + 93. Let l(z) = 8*o(z) - 3*u(z). Differentiate l(n) wrt n.
-64
Let u(f) = -f**4 + 4*f**3 + 12*f**2 - 134*f + 4. Let h(z) = -z**3 + 3*z - 1. Let v(m) = 4*h(m) + u(m). What is the second derivative of v(q) wrt q?
-12*q**2 + 24
Suppose -76*y + 80 = -72*y. What is the derivative of -47*d - 1 - y + d**2 + 27*d wrt d?
2*d - 20
Let q(p) be the third derivative of 5*p**8/24 - 7*p**5/60 + 210*p**2. What is the third derivative of q(t) wrt t?
4200*t**2
Let d(c) be the first derivative of -6*c**3 + 3*c + 3. Let o(b) = -9*b**2 + 1. Let a(i) = 2*d(i) - 5*o(i). What is the derivative of a(t) wrt t?
18*t
Suppose 4*p - 15 - 5 = -5*z, 37 = 4*z - p. What is the first derivative of -z + 13*j - 16 - 1 + 36*j wrt j?
49
Let h(u) be the third derivative of -u**6/72 + u**5/20 - u**4/2 - 11*u**2. Let p(x) be the second derivative of h(x). What is the derivative of p(k) wrt k?
-10
Let v(w) = 580*w**2 - 241*w - 9. Let b(j) = 290*j**2 - 120*j - 4. Let c(t) = -13*b(t) + 6*v(t). Find the 