t h(v) = -4*v**5 - 2*v**3 - v**2 - 42*v. Let f(i) = 9*h(i) + 2*o(i). Find the second derivative of f(u) wrt u.
-40*u**3 - 2
Let q(d) be the first derivative of d**4 - 20 - 6*d**4 + d**4 - 23*d. What is the derivative of q(t) wrt t?
-48*t**2
Let d(y) = -35*y**5 + 21*y**2 + 3*y + 2. Let g(c) = -70*c**5 + 41*c**2 + 5*c + 3. Let w(n) = 5*d(n) - 3*g(n). Find the third derivative of w(m) wrt m.
2100*m**2
Let r(z) be the first derivative of z**8/84 - 3*z**4/4 + 31*z**2/2 + 22. Let k(i) be the second derivative of r(i). What is the second derivative of k(d) wrt d?
80*d**3
Let w(j) = -34*j**3 - 5*j**2 - j + 54. Let a(q) = -34*q**3 - 4*q**2 - q + 55. Let f(y) = 5*a(y) - 4*w(y). Find the first derivative of f(l) wrt l.
-102*l**2 - 1
Let d = 8 + -1. Differentiate -g + 13 - 5*g - d*g + 0 with respect to g.
-13
Let x(u) be the second derivative of -365*u**3/6 - 297*u**2/2 - 279*u. Differentiate x(g) wrt g.
-365
Let q be (-2)/7*(-12 + -2). Suppose 1 = t + b - 3, q*t - 16 = 2*b. Differentiate -3*z + 0 - 5*z + 6 + t*z wrt z.
-4
Let j(q) be the first derivative of 0*q**5 + 0*q**4 + 2/3*q**6 - 18 + 0*q**3 - q - 11/2*q**2. What is the second derivative of j(n) wrt n?
80*n**3
Suppose x - 17 = 3*b, b + 1 + 2 = 0. Let u be (2 - 1) + x/4. Find the second derivative of 3*p**4 - 3*p**4 + u*p - p - 4*p**4 wrt p.
-48*p**2
Let m(u) be the third derivative of -u**7/30 + u**6/120 + 19*u**5/10 + 4*u**2 - 6. What is the third derivative of m(x) wrt x?
-168*x + 6
Let y be (5 - (-4)/(-4)) + 51. What is the first derivative of -7 - 4 + 49*q**3 - y*q**3 wrt q?
-18*q**2
Suppose 49 = -50*l + 57*l. Let v(w) be the first derivative of 3*w**2 + l + 0*w - 11/3*w**3. What is the second derivative of v(y) wrt y?
-22
Let n(u) be the second derivative of 11*u**6/15 + 34*u**2 + 80*u. Differentiate n(r) wrt r.
88*r**3
Let b = 47 - 43. Find the first derivative of -24*f**2 + 8*f**2 + 11 - b + 6 wrt f.
-32*f
Suppose 4*h + 0*h = 16. Let n(x) = x**3 - 5*x**2 + 4*x + 3. Let w be n(4). What is the derivative of h*f**w - 3*f**3 - 3 - 2*f**3 wrt f?
-3*f**2
Suppose -3*b - 41 = -5*r, 4*r + 5*b = 23 + 32. What is the derivative of r + 0*z**4 - z**4 + 13*z**4 + 1 wrt z?
48*z**3
Let d(r) be the third derivative of -r**6/120 + 43*r**5/60 - 601*r**3/6 - r**2 - 99. Differentiate d(c) wrt c.
-3*c**2 + 86*c
Suppose 0*j = -2*j + 6. Suppose -j*o + 203 + 64 = 0. What is the third derivative of -4*v**6 - 89*v**4 + 3*v**2 + o*v**4 wrt v?
-480*v**3
Let h(g) be the second derivative of 0 - 4/3*g**4 - 3/2*g**2 + 30*g + 0*g**3. Differentiate h(w) with respect to w.
-32*w
Let m be 375/20 + 6/(-8). Let d = m + -15. Find the first derivative of -5 - 4*g**3 + 2*g**d + 6*g**3 - g**3 wrt g.
9*g**2
Let f be (-5)/(60/12 - 6). Let o(y) be the second derivative of 0*y**4 + 0 - 6*y - 4/3*y**3 + 7/20*y**f + 0*y**2. Find the second derivative of o(g) wrt g.
42*g
Suppose -8*t = 74 - 114. Let k(n) be the second derivative of 2*n + 0*n**t + 0 + n**2 + 0*n**4 + 1/6*n**6 + 0*n**3. Find the first derivative of k(u) wrt u.
20*u**3
What is the derivative of -29*f**2 - 102 + 15*f**3 - 11*f**3 - 279 + 105*f**2 wrt f?
12*f**2 + 152*f
Let v(q) be the first derivative of -128*q**3 - q**2/2 - 294*q - 97. What is the first derivative of v(x) wrt x?
-768*x - 1
Let g(o) be the first derivative of 17*o**4/12 + 11*o**3/2 + 19*o + 7. Let s(t) be the first derivative of g(t). What is the second derivative of s(u) wrt u?
34
Let s(t) be the second derivative of 99*t**8/56 + t**4/2 + t**3/3 + 10*t. Find the third derivative of s(h) wrt h.
11880*h**3
Let x(w) be the third derivative of 167*w**6/60 - w**5/60 + 103*w**4/12 + 2*w**2 + 106*w. What is the second derivative of x(d) wrt d?
2004*d - 2
What is the second derivative of -148*y**3 - 247*y - 122*y**3 - 143*y - 99*y**3 - 2*y**2 wrt y?
-2214*y - 4
What is the derivative of 229 - 177*k + 15 + 145 - 81 + 44*k wrt k?
-133
Let f(v) be the first derivative of -261*v**5/5 - 127*v**3/3 - 321. What is the third derivative of f(c) wrt c?
-6264*c
Let p(h) be the third derivative of 11*h**6/720 + h**5/6 + 5*h**4/3 + 7*h**2. Let w(c) be the second derivative of p(c). Differentiate w(z) wrt z.
11
Let p(g) = -597*g**2 + 4*g + 814. Let h(k) = 17316*k**2 - 117*k - 23608. Let j(f) = 4*h(f) + 117*p(f). Differentiate j(y) wrt y.
-1170*y
Find the second derivative of -97*f**2 + 22*f + 49*f + 112*f + 41*f**2 - 119*f**2 wrt f.
-350
Let n(w) = -w**5 + 3*w**3 - 1. Let r(y) = -2*y**5 + 12*y**3 - 39*y**2 + y - 2. Let m(h) = -4*n(h) + r(h). What is the second derivative of m(j) wrt j?
40*j**3 - 78
Let n(g) = 359*g**4 + 6*g**3 - 74*g**2 - 6*g + 6. Let l(j) = -j**4 + j**3 - j**2 - j + 1. Let c(m) = 6*l(m) - n(m). Find the third derivative of c(f) wrt f.
-8760*f
Let k(f) be the first derivative of -17*f**4/2 + 3*f**2/2 + 700*f - 512. Find the first derivative of k(g) wrt g.
-102*g**2 + 3
Let q(p) be the first derivative of 10*p**2 + 23/6*p**6 + 0*p + 0*p**5 + 0*p**3 - 21 + 0*p**4. Find the second derivative of q(d) wrt d.
460*d**3
Let o be (-6)/2*180/27. Let q = -17 - o. Find the first derivative of 3*d**3 + d**q + 3 - 10 wrt d.
12*d**2
Let v = 26 + -17. Let q = v - 6. Differentiate -22*n**3 + 21*n**q + 2 - 8*n**3 wrt n.
-27*n**2
Let q = 466 - 463. Let g(k) be the second derivative of 0 + 3*k**2 + 2/3*k**4 + 4*k + 0*k**q. What is the derivative of g(m) wrt m?
16*m
Let n = 13 - 5. Suppose 0 = 5*p - 6*p + n. What is the second derivative of p*w + 2*w**3 - 17*w**4 + 21*w**4 - 2*w**3 wrt w?
48*w**2
Let l(p) be the third derivative of -59*p**4/24 - 29*p**3 - 74*p**2 + 3*p. What is the derivative of l(z) wrt z?
-59
Let m = -19 - -15. Let l(c) = -c**3 - c**2 - 4*c + 4. Let j be l(m). What is the third derivative of j*n**3 + 0*n**2 - 68*n**3 + 9*n**6 - n**2 wrt n?
1080*n**3
Let p(v) = -391*v**2 - 6*v + 414. Let h(q) = -782*q**2 - 13*q + 829. Let o(u) = -6*h(u) + 13*p(u). What is the first derivative of o(l) wrt l?
-782*l
Let j(u) be the third derivative of -17*u**7/35 + 17*u**4/12 - u**3/3 + 29*u**2. What is the second derivative of j(w) wrt w?
-1224*w**2
Find the third derivative of -90*j**3 + 163*j**3 - 7*j**4 + 0*j**4 + 7*j**2 - 37*j**3 - 3 wrt j.
-168*j + 216
Let t(z) be the third derivative of -239*z**4/8 - 106*z**3/3 + 159*z**2. Find the first derivative of t(v) wrt v.
-717
Let k = 5 - -4. Let p be 1 - 4/((-12)/k). What is the second derivative of -7*s + 3*s - 2*s**p - s**4 wrt s?
-36*s**2
Suppose -8*l + 56 = -4*l. Let p = -10 + l. What is the first derivative of 1 + 3*q**4 + q**4 + 0*q**p + 5 wrt q?
16*q**3
Find the third derivative of -13*r**4 + r**2 - r**6 - 11*r**2 - 26*r**2 - 5 wrt r.
-120*r**3 - 312*r
Let j be (-1 - (-2 - 19))*-1. Let b = 22 + j. What is the third derivative of 3*v**b + 2*v**3 - v**2 + 4*v**3 wrt v?
36
Let v be 203/6 - (-3)/18. Differentiate -14 + v*x**2 - 13*x**4 - 34*x**2 with respect to x.
-52*x**3
Suppose 7*f + f = -224. Let i = 40 + f. Find the third derivative of i*n**3 + 3*n**4 - 12*n**3 - 12*n**2 wrt n.
72*n
Let k = -9 - -16. What is the derivative of 0 - 7 - k + 6*i + 4*i wrt i?
10
Let y be ((-105)/25 + 3)*-5. Find the third derivative of 6*i**3 + 0*i**2 + 2*i**2 + y*i**3 wrt i.
72
Suppose q + 7 = 11. What is the third derivative of -8*i**3 - 6 + 6 + q*i**2 + 12*i**3 wrt i?
24
Let z(i) be the first derivative of 51*i**4/4 + 89*i**3/3 + 89. Find the third derivative of z(h) wrt h.
306
Let p(t) be the second derivative of 203*t**6/30 + 21*t**2/2 - 257*t. What is the first derivative of p(h) wrt h?
812*h**3
Let c(h) = -20*h - 42. Let x(f) = -19*f + 16 - 77 + 20. Let t(b) = -5*c(b) + 6*x(b). Find the first derivative of t(j) wrt j.
-14
Find the third derivative of -248*r**6 + 732*r**2 - 396*r**6 - 785*r**2 wrt r.
-77280*r**3
Let z(h) = 211*h**2 - 96*h + 4. Let a(i) = -211*i**2 + 98*i - 3. Let o(f) = -4*a(f) - 3*z(f). Find the second derivative of o(q) wrt q.
422
Find the first derivative of -23*h - 25 - 40*h + 126*h wrt h.
63
Let t be (-1161)/(-33) + 2/(-11). Let x = t - 32. What is the second derivative of -x*w - 7*w**3 + 0*w + 5*w**3 wrt w?
-12*w
Suppose -2*q - 2*q - 28 = 0. Let f(g) = g**2 + 6*g - 2. Let y be f(q). What is the third derivative of -2*m**2 - 2*m**6 - m**6 + y*m**6 + 6*m**2 wrt m?
240*m**3
Let k(r) = -r**3 + 3*r**2 + 11*r + 11. Let q be k(-2). Let a(f) be the first derivative of 4/3*f*