t x.
2
Let j(r) = -2*r + 1. Let b(c) = 207*c + 285. Let y(l) = b(l) - 12*j(l). What is the first derivative of y(k) wrt k?
231
Let a(p) = -38*p**2 + 4*p. Let x(y) = -y. Let h(i) = 3*i**2 - 15*i + 9. Let s be h(4). Let w(v) = s*x(v) + a(v). Find the second derivative of w(r) wrt r.
-76
Let c(j) = j**5 - j**4 + 2*j**2 - 1. Let n(f) = 244*f**5 - 4*f**4 + 9*f**2 - 3*f - 4. Let p(a) = -4*c(a) + n(a). Find the third derivative of p(v) wrt v.
14400*v**2
Let j(y) be the third derivative of -y**8/1344 - y**5/10 + y**4/6 + 8*y**2. Let m(o) be the second derivative of j(o). Differentiate m(p) with respect to p.
-15*p**2
What is the second derivative of 2*o + 7*o - 19*o**2 - 60*o**2 + 17*o**2 wrt o?
-124
Let b(a) be the first derivative of 5/3*a**3 - 4 - 12/5*a**5 + 0*a + 0*a**4 + 0*a**2. What is the third derivative of b(c) wrt c?
-288*c
Let z(o) be the third derivative of -667*o**4/24 + 104*o**3/3 + 3*o**2 - 3. Differentiate z(c) with respect to c.
-667
Let g(n) be the second derivative of 4*n**4/3 - 43*n**2/2 + 61*n. Differentiate g(w) with respect to w.
32*w
Let l(v) be the second derivative of 14*v**6/5 + 17*v**2/2 - 6*v + 1. Find the first derivative of l(w) wrt w.
336*w**3
Let b(t) be the first derivative of 5*t**9/3024 + 7*t**6/120 + 5*t**3 - 3. Let i(x) be the third derivative of b(x). Find the third derivative of i(a) wrt a.
300*a**2
Let m(q) be the second derivative of q**6/15 + 6*q**5/5 + 121*q**4/12 + q**2 - 9*q + 1. What is the third derivative of m(r) wrt r?
48*r + 144
Differentiate -10 - 164 - 167 + 349*n + 81 wrt n.
349
Let n(p) = p**3 - 4*p**2 - 5*p + 16. Let r be n(5). Find the second derivative of 6*z - z - 2*z + 24*z**3 + r*z wrt z.
144*z
Let l be ((-20)/(-28) - -3) + 4/14. What is the third derivative of y**5 + l*y**2 + y**2 + 2*y**5 + 12*y**5 wrt y?
900*y**2
Let t be 9/(-18)*54/(-3). Differentiate -22 - 24*h - 11*h - h - t*h with respect to h.
-45
Let q(a) be the third derivative of -16*a**7/35 + 19*a**3/3 + 19*a**2 + 2*a. What is the first derivative of q(s) wrt s?
-384*s**3
Let t = 20 + -16. Differentiate 14 - 17*p**4 + 8*p**t + 0*p**4 wrt p.
-36*p**3
Let v be 3/(-18) + (-309)/(-18). Differentiate -9*n**4 + v*n**3 - 26 - 17*n**3 + 34*n**4 with respect to n.
100*n**3
Let k(h) be the second derivative of 317*h**8/56 - h**4/4 - 11*h**3/2 - 2*h + 214. What is the third derivative of k(z) wrt z?
38040*z**3
Suppose -x = -3*i - 2*x + 17, 4*i - 22 = -x. Suppose i*m = -5*n + 155, n = -6*m + m + 51. Find the third derivative of -8*g**2 + 6*g**6 - 26*g + n*g wrt g.
720*g**3
Let n(w) be the third derivative of 0*w**4 - 11*w**2 + 0 + 2/3*w**3 + 0*w + 0*w**5 - 17/60*w**6. What is the derivative of n(h) wrt h?
-102*h**2
Let h(p) be the second derivative of 0*p**2 + 13/6*p**3 - 11/15*p**6 + 0*p**4 + 0 + 0*p**5 + 16*p. What is the second derivative of h(d) wrt d?
-264*d**2
Find the second derivative of 14*b**4 - 3*b + 24*b**4 - 7 + 0*b + 0*b + 8 wrt b.
456*b**2
Let l(c) = -345*c - 1099. Let t(w) = -115*w - 366. Let s(i) = -6*l(i) + 17*t(i). What is the first derivative of s(m) wrt m?
115
Let p(y) be the third derivative of 0*y**5 + 0*y**4 - 10*y**2 + 5/3*y**3 - 1/14*y**7 + 0 + 0*y + 0*y**6. Differentiate p(w) wrt w.
-60*w**3
Let w(f) be the second derivative of f**8/60 - f**5/120 - 29*f**3/6 + 38*f. Let n(v) be the second derivative of w(v). Find the second derivative of n(p) wrt p.
336*p**2
Suppose 0*a + 4 = 2*a. What is the derivative of -4*z**2 + 6*z**2 + 3*z**3 + 7 - 2*z**a wrt z?
9*z**2
Suppose -71 = -25*g - 21. Let r(x) be the third derivative of 1/8*x**4 + 7/6*x**3 - 3*x**g + 0 + 0*x. What is the derivative of r(q) wrt q?
3
Find the second derivative of -634*i + 130*i**2 + 9634 - 4818 - 4816 wrt i.
260
Let c(w) be the second derivative of 9*w**8/8 - 40*w**4/3 - w**2 + 271*w. Find the third derivative of c(k) wrt k.
7560*k**3
Let a be -3*(-1 - (-4)/(-2)). Find the first derivative of -11 - 8 - a*s**3 - s**3 - 15*s**3 wrt s.
-75*s**2
Suppose 2*p + i - 3 + 0 = 0, -4*p + i + 9 = 0. Let x = -55 - -57. Find the second derivative of -10*d**p - x*d + 2*d**2 + 3*d + d wrt d.
-16
Let a be -4 - 0 - -2*(-12)/(-6). Find the second derivative of a*m**5 - 8*m - 17 - 3*m**4 - 3*m**5 - 26 + 9*m wrt m.
-60*m**3 - 36*m**2
Differentiate 11*h**2 + 16*h**2 + 84 - 4*h**2 + 35*h**2 + 32*h**2 wrt h.
180*h
Suppose 0 = 5*i - 5*q + 95, 75 = -5*i + 3*q - 2*q. Let o = -9 - i. Find the second derivative of 8*g - 4*g**5 + 0*g**o - 5*g**5 wrt g.
-180*g**3
Let z(u) be the second derivative of -7*u - 1/10*u**6 + 0*u**3 + 0*u**2 - 5/6*u**4 + 0*u**5 + 0. Find the third derivative of z(s) wrt s.
-72*s
Let s(y) be the first derivative of -68*y**7 + 224*y**3/3 + 440. Find the third derivative of s(c) wrt c.
-57120*c**3
Let q(u) be the second derivative of -u**5/10 + 263*u**3/6 - 195*u**2/2 - 133*u + 1. What is the derivative of q(b) wrt b?
-6*b**2 + 263
What is the third derivative of -25*c**3 - 781 - 66*c**2 + 781 wrt c?
-150
Let y be (-30)/9*90/(-25). Suppose -2*s - 5*g = 2*s - 33, -g = 3. Find the second derivative of -10*n**5 - 7*n + y*n - s*n wrt n.
-200*n**3
Suppose 3*l + 9 = 0, 9 = 4*b + l - 0*l. Suppose -3*u = 0, -4*h - u - 2*u + 8 = 0. Find the first derivative of -h*k**2 - 2 + b*k**2 - 3 + 3*k**2 wrt k.
8*k
Let m(v) = -10*v**2 + 53. Let y(j) be the second derivative of -j**3/6 + j**2 - 30*j + 1. Let n(f) = m(f) - 2*y(f). Differentiate n(a) wrt a.
-20*a + 2
Let p(x) be the first derivative of 40*x**3/3 - x**2 - 193*x - 369. What is the derivative of p(u) wrt u?
80*u - 2
What is the third derivative of 9*g**5 + 0*g**4 - 355*g**2 + g**4 + 45*g**5 - 83*g**5 - 284*g**5 wrt g?
-18780*g**2 + 24*g
Let a(d) be the third derivative of -d**9/252 + d**8/56 + 7*d**5/30 + 3*d**2 + d. Find the third derivative of a(n) wrt n.
-240*n**3 + 360*n**2
Suppose 6*t - 26 = -3*r + t, 5*r + 5*t - 30 = 0. Let g(x) = x + 8. Let y be g(-4). Differentiate y*z - 4*z - r*z**3 - 3 with respect to z.
-6*z**2
What is the second derivative of 7 - 345*q**2 - 244*q**2 + 3 - 3 + 355*q - 5 wrt q?
-1178
Let o(k) = -57*k**3 + 107*k**2 - 4*k. Let p(d) = d. Let g(h) = o(h) + 4*p(h). What is the third derivative of g(l) wrt l?
-342
Let j(t) = 25*t**5 + 2*t**2 - 17*t. Let x(a) = 8*a**5 + a**2 - 6*a. Let m = -7 + 13. Let f(y) = m*j(y) - 17*x(y). What is the third derivative of f(q) wrt q?
840*q**2
Suppose -6*b + 220 = -2*b. Suppose 4*h + 3 = b. Differentiate 10*v**3 + 156*v**2 - 156*v**2 + h wrt v.
30*v**2
Let t(w) be the first derivative of -17/3*w**3 + 0*w + 0*w**2 + 0*w**5 + 13/7*w**7 + 0*w**6 + 0*w**4 - 3. Find the third derivative of t(f) wrt f.
1560*f**3
What is the derivative of -33 + 29*i**3 + 23*i**3 - 9*i**3 wrt i?
129*i**2
Let q(w) be the first derivative of -102*w**2 - 277*w - 250. Find the first derivative of q(u) wrt u.
-204
Find the third derivative of -5*u**2 + 4*u**2 + 118 - 646*u**3 + 157*u**3 + 56 - 425*u**3 wrt u.
-5484
Let n(x) be the second derivative of -287*x**5/20 + 149*x**3/2 - 2*x + 63. What is the second derivative of n(c) wrt c?
-1722*c
Suppose -2*c - 8 = -32. Suppose 3*b - b - c = 0. What is the second derivative of -b*l**5 + 2 - 2 - 7*l + 0 wrt l?
-120*l**3
Let j = -4 - -5. Suppose h = -2*h - 4*x + 30, 3*x = 4*h - 15. What is the derivative of -j + 2 - 3 - h*w wrt w?
-6
Find the second derivative of -45*m - 3*m**5 + 8*m**3 + 4*m**5 - 133*m - 25*m**3 wrt m.
20*m**3 - 102*m
Let z(t) be the first derivative of -5 + 4/3*t**3 - 5*t + 3/2*t**2. Let i(k) = -k**2 - k + 1. Let x(b) = -3*i(b) - z(b). Differentiate x(h) wrt h.
-2*h
Let y(f) be the third derivative of 17*f**6/360 + 5*f**4/4 - 14*f**3/3 - 19*f**2. Let k(v) be the first derivative of y(v). Differentiate k(s) wrt s.
34*s
Let f(c) = 2*c**4 - 2*c**3 + c**2 - c. Let y(j) = -84*j**5 - 2*j**4 + 2*j**3 - j**2 + 92*j. Let p(t) = f(t) + y(t). Find the second derivative of p(z) wrt z.
-1680*z**3
Let f be -3 - 28/(-8)*2. What is the second derivative of 7*a**3 - a - 7*a**3 - f*a - 12*a**5 wrt a?
-240*a**3
What is the third derivative of 24*s**2 + s**3 - 6*s**4 + 2*s**4 - 2*s**3 - 22*s**4 wrt s?
-624*s - 6
Let o(g) be the second derivative of -37/12*g**4 + 16*g**2 - 32*g + 0 + 0*g**3. What is the derivative of o(y) wrt y?
-74*y
Let b = -15 - -17. Suppose -8 = 2*t + b*q + 3*q, t = q + 10. Find the third derivative of -4*i**t + 10*i**6 + 4*i