first derivative of q(m) wrt m.
4
Let d(m) = -m**5 - m**4 + m**2 - 1. Let g(o) = 710*o**5 - 3*o**4 - 673*o**2 - 3. Let j(f) = -3*d(f) + g(f). What is the third derivative of j(z) wrt z?
42780*z**2
Let f(p) be the second derivative of -p**3/3 + 93*p**2/2 + 93*p. What is the derivative of f(n) wrt n?
-2
Let g = 14 - 9. Suppose -2*x + s + g = 0, 2*x - 3*s + 0*s - 7 = 0. Find the second derivative of 0*t**2 + 6*t**2 + 7*t + 11*t**3 - 6*t**x wrt t.
66*t
Let r(w) be the third derivative of 1/24*w**4 + 0 + 0*w**5 + 19/210*w**7 + 0*w**3 + 0*w + 4*w**2 + 0*w**6. What is the second derivative of r(d) wrt d?
228*d**2
Let k(a) = 4*a**3 - 2*a**2 + a. Let c be k(1). Suppose -c*d = -d - 3*x - 14, -x = -5*d + 22. What is the second derivative of -67 - 2*m**d + 5*m + 67 wrt m?
-24*m**2
Differentiate 81*r + 25 + 69*r - 56 wrt r.
150
Let f(c) be the first derivative of 23*c**6 - 30*c**3 + 249. Find the third derivative of f(d) wrt d.
8280*d**2
Let a(l) = -68*l**3 - 13*l + 20. Let u(x) = 17*x**3 + 3*x - 5. Let g = -51 + 57. Let k(z) = g*a(z) + 26*u(z). What is the first derivative of k(c) wrt c?
102*c**2
Suppose -a = -2*g - 3, 0*a - a + 15 = 2*g. Find the third derivative of a*q**2 + 10*q**4 + 2*q**4 + 0*q**2 wrt q.
288*q
Let t be ((-16)/(-8))/(4/6). What is the first derivative of -41*i**4 - 5*i**t + 5*i**3 - 30 + 44*i**4 wrt i?
12*i**3
Let g(d) be the second derivative of 41/6*d**3 + 2*d + 1 + 0*d**2 - 2/3*d**4. Find the second derivative of g(z) wrt z.
-16
Let g(n) be the first derivative of 221*n**4/2 + 338*n - 157. Find the first derivative of g(f) wrt f.
1326*f**2
Let m be ((-12)/24)/(2/(-16)). Suppose m*u = 9 + 11. Let g(b) = 13*b + 22. Let i(s) = -19*s - 33. Let f(j) = u*i(j) + 8*g(j). Differentiate f(d) wrt d.
9
What is the second derivative of 24*d - d**2 - 44*d**4 + 100*d + 485*d**4 + d**2 wrt d?
5292*d**2
Let z(s) be the first derivative of -17*s**3/3 + 3*s**2/2 + 9*s - 98. What is the second derivative of z(p) wrt p?
-34
Let h(s) be the first derivative of s**2 - 5 + 4/3*s**3 + 0*s. Let r(p) = 5*p**2 + 2*p. Let n(o) = -4*h(o) + 3*r(o). Find the second derivative of n(t) wrt t.
-2
Suppose -2*n - 60 = -3*f + n, 0 = -4*f + n + 89. Find the second derivative of -14*o**3 - 993*o**2 + f*o + 993*o**2 wrt o.
-84*o
Let u(c) = -c**3 + 2*c**2 + 1. Let v(k) = 169*k**3 - 439*k**2 - 3. Let r(t) = 3*u(t) + v(t). What is the third derivative of r(x) wrt x?
996
Let x(c) be the third derivative of -17/12*c**4 + 19*c**2 + 0 - 1/20*c**5 + 0*c + 0*c**3. What is the second derivative of x(b) wrt b?
-6
Let m(z) be the first derivative of -21*z**3 - 4*z**2 - 2*z - 59. Find the second derivative of m(i) wrt i.
-126
Let h(q) be the first derivative of 5*q**9/252 + q**5/10 + 5*q**2/2 - 12. Let n(c) be the second derivative of h(c). Find the third derivative of n(z) wrt z.
1200*z**3
Suppose -r = f + 11, 4*r - 13 = -2*f - 53. Let t = r - -16. What is the first derivative of -234*m**4 + 233*m**4 + 1 - t wrt m?
-4*m**3
Suppose -2*a - l - 6 = -33, 3*a - l = 33. Find the third derivative of -5*g**6 + a*g**6 - 38*g**6 + 28*g**2 wrt g.
-3720*g**3
Find the second derivative of -14*y + 9*y - 32*y**2 + 9 + 9*y + y wrt y.
-64
Let n(p) = -49*p**3 - 5*p**2 - 2*p + 122. Let d(a) = -50*a**3 - 4*a**2 - 2*a + 121. Let q(o) = 5*d(o) - 4*n(o). Differentiate q(u) wrt u.
-162*u**2 - 2
Let j(w) = -w**4 + w**3 - w**2 - 1. Let x(m) = -2*m**4 + 101*m**3 + m**2 + 2*m - 1. Let i(k) = -j(k) - x(k). Find the second derivative of i(p) wrt p.
36*p**2 - 612*p
Let p(r) = -195*r - 79. Let s(w) = -195*w - 80. Let g(v) = -6*p(v) + 5*s(v). What is the first derivative of g(h) wrt h?
195
Suppose 4*z - 5*z + 96 = 0. Find the second derivative of -7*w**2 - z - 13*w + 96 wrt w.
-14
Find the first derivative of 108*x**2 - 2 - 238 - 345*x**2 wrt x.
-474*x
Let r(w) be the first derivative of w**3/3 + 30*w - 7. Let v(p) = 2*p**2 + 29. Let g(b) = -6*r(b) + 7*v(b). What is the first derivative of g(q) wrt q?
16*q
Let o be 2/(5*(-4)/(-40)). What is the derivative of 7*n**4 + 5*n**4 + 5*n**4 - 13*n**o - 24 wrt n?
16*n**3
Let j be (-43 - -35) + (6 - -2). Let q(b) be the first derivative of -5 - 6/5*b**5 + 0*b**4 + j*b**2 + b**3 + 0*b. What is the third derivative of q(c) wrt c?
-144*c
Let i(y) = -y**2 + 1. Let h(b) = 57*b**2 - 142. Let t(s) = h(s) + 3*i(s). Find the first derivative of t(a) wrt a.
108*a
Find the third derivative of -92*q**4 - 2*q**5 + 291*q**4 - 98*q**4 + 861*q**2 + 203*q**3 - 101*q**4 wrt q.
-120*q**2 + 1218
Let m(k) be the second derivative of -k**7/21 + 56*k**6/15 - 37*k**4/4 - k**2 + 300*k. Find the third derivative of m(b) wrt b.
-120*b**2 + 2688*b
Let m(n) = 3*n + 27. Let t(v) = 1 + 19 - 8 + 6 + 2*v. Let i(l) = -5*m(l) + 8*t(l). What is the first derivative of i(q) wrt q?
1
Let c(i) be the first derivative of 0*i**2 + 0*i + 11 - 2*i**3 - 3/2*i**4. What is the third derivative of c(h) wrt h?
-36
Let n(p) = -p**2 - 4*p - 1. Let l be n(-3). Suppose -8*x + 2*x = -24. Find the first derivative of 2 + 0*u**2 - l*u**x + 0*u**2 wrt u.
-8*u**3
Suppose -3*u + 23 = 5*l - 2*u, -3*u + 4 = 2*l. Suppose -l = -2*n - c + 13, 2*n = c + 26. What is the second derivative of -6*v**2 + n*v**2 - 4*v + 13*v wrt v?
10
Let r(f) = 38*f**3 + 9*f**2 - 29*f + 49. Let i(j) = -10*j**3 - 2*j**2 + 7*j - 12. Let u(h) = -9*i(h) - 2*r(h). What is the second derivative of u(v) wrt v?
84*v
Let d(b) be the second derivative of 0*b**3 + 37/12*b**4 + 0*b**2 + 0*b**6 - 13/21*b**7 + 0*b**5 - 26*b + 0. Find the third derivative of d(h) wrt h.
-1560*h**2
What is the derivative of 141*o - 94 - 60*o + 43*o + 21 + 216 wrt o?
124
Suppose -g + 11 = n, 2*g - 36 = -5*n + 1. Let f be (-2)/(-3) - 6/9. What is the third derivative of -4*l**2 + 0 + f - 13*l**g + 18*l**6 wrt l?
600*l**3
Suppose -g = 5 - 3. Let w be 0 + g*36/(-8). What is the second derivative of 6*b + b**2 - w + 9 wrt b?
2
Let g = -20 + 20. What is the derivative of -3*d**3 - 5*d**3 + g*d**3 + 5 - 16 wrt d?
-24*d**2
Let d(m) be the third derivative of -m**9/504 - 47*m**8/336 + m**5/60 - m**4/3 - 22*m**2. Find the third derivative of d(f) wrt f.
-120*f**3 - 2820*f**2
Let z(i) be the second derivative of -i**6/15 + 59*i**5/5 - 7*i**4/12 - 2*i**3 + 3*i + 63. What is the third derivative of z(j) wrt j?
-48*j + 1416
Let i(o) be the first derivative of 17*o**3 + 0*o**2 + 5*o**4 + 17 + 2/5*o**5 + 0*o. What is the third derivative of i(k) wrt k?
48*k + 120
Let x(a) be the second derivative of -17*a - 11/20*a**5 + 0*a**2 + 0*a**3 + 0 - 1/6*a**4. What is the third derivative of x(k) wrt k?
-66
Let f(r) be the first derivative of 179*r**4/2 - 3*r**3 + r**2 - 228. Find the third derivative of f(q) wrt q.
2148
Let k(l) be the first derivative of -4/3*l**3 + 45 - 1/2*l**2 + 0*l. Find the second derivative of k(f) wrt f.
-8
Let s be (-1 + -1)/((-1)/(-6)). Let g be -1 + 3/(s/(-172)). What is the third derivative of 8*c**2 + g*c**4 - 45*c**4 + 2*c - 2*c wrt c?
-72*c
Let v = -14 + -6. Let y be (-56)/v + (-2)/(-10). Find the third derivative of g**5 + g**4 - g**4 - g**2 - y*g**2 wrt g.
60*g**2
Suppose 24 = -0*q + 5*q + 3*t, 0 = -2*q - t + 9. Find the third derivative of 108 + 24*z**q - 108 + 10*z**2 wrt z.
144
Let t(f) = -f + 3. Let y be t(3). Let i be 1/(-1) - y - -3. What is the second derivative of 6*h - 6*h**2 - 7*h + h**i wrt h?
-10
Let q be 2 + -1 + -1 + 3. Let l be 12 - 3/(q - 0). What is the second derivative of 6*g - 11*g**3 + 10*g**4 - 3*g**4 + l*g**3 wrt g?
84*g**2
Suppose 2*d - 19 - 1 = 0. Differentiate 2*h + 0*h + 0 + d with respect to h.
2
Let p(b) be the second derivative of 0 - 3*b**2 + 1/5*b**5 - 5*b + 0*b**3 + 0*b**4. What is the derivative of p(w) wrt w?
12*w**2
Let s(w) be the second derivative of 11*w**7/42 - 7*w**4/4 + w**3/3 - 3*w - 15. What is the third derivative of s(d) wrt d?
660*d**2
Let u(t) = -2*t**2 + 3. Let v(r) = r**2 + 1. Suppose -1 = 3*c + 2. Let i(f) = c*u(f) + 6*v(f). Differentiate i(l) with respect to l.
16*l
Let w be (-60)/105 - (59/7 + -1). Let p(v) = -68*v - 70. Let m(d) = -23*d - 23. Let a(t) = w*m(t) + 3*p(t). Differentiate a(c) with respect to c.
-20
Let t(p) = -p**2 - 21*p - 28. Let g be t(-19). What is the derivative of g*u**4 + 0*u**4 + 23 - 8*u**4 wrt u?
8*u**3
Let j(w) be the third derivative of 11*w**7/15 + w**6/60 - 205*w**3/3 - 145*w**2. Differentiate j(l) 