h**3 + 89
What is the third derivative of -6*w**4 - 3*w**3 - 7*w**4 - 69*w**2 + 5*w**4 - 122*w**2 - w**3 wrt w?
-192*w - 24
Let a(m) = 9*m**2 + 7. Let g = 28 + -26. Let k(l) = -5*l**g + 4 - 12 - 5*l**2. Let x(t) = -4*a(t) - 3*k(t). Differentiate x(y) wrt y.
-12*y
Suppose -28 = -4*t - 3*p, 2*t + 3*p - 11 - 9 = 0. What is the second derivative of -11*f**t - 7*f**4 + 11*f - 2*f wrt f?
-216*f**2
Let j(o) be the third derivative of 89*o**9/126 - o**5/30 - 259*o**3/6 + o**2 + 106. Find the third derivative of j(a) wrt a.
42720*a**3
Let y(c) be the second derivative of c**7/42 + 49*c**5/10 + 15*c**4/4 - c**2/2 + 276*c. What is the third derivative of y(h) wrt h?
60*h**2 + 588
Let k(m) be the second derivative of -m**9/42 + m**5/60 + 9*m**2/2 - 4*m. Let r(i) be the first derivative of k(i). What is the third derivative of r(f) wrt f?
-1440*f**3
Let d(c) be the third derivative of 0*c - 1/2*c**3 + 0 + 7/120*c**6 + 0*c**5 + 14*c**2 + 0*c**4. Differentiate d(p) wrt p.
21*p**2
Suppose 0 = -9*k + 8*k + 15. Differentiate 5*c - 6*c + 6*c + 7*c + k with respect to c.
12
Let g be ((-1)/2)/(((-7)/(-24))/(-7)). What is the second derivative of -3*x - 3*x - 4 + 2*x**5 - g + 15 - 15*x**3 wrt x?
40*x**3 - 90*x
Let w = 28 + -15. Let r(g) = -41*g**2 + 9. Let b(m) = 20*m**2 - 5. Let i(h) = w*b(h) + 6*r(h). What is the derivative of i(c) wrt c?
28*c
Let s(f) = f**4 + f**2 - f - 1. Let m(w) = -97*w**4 + 4*w**2 + 10*w - 1. Let y(c) = -m(c) + 4*s(c). Find the second derivative of y(l) wrt l.
1212*l**2
Suppose -5*k + k - 108 = -2*r, -2*r = -5*k - 106. Suppose -d = -0 - 6. What is the second derivative of 4*z - r + d*z**4 + 58 wrt z?
72*z**2
Let a(d) = -24*d**5 - 3*d**4 - d**3 + 49*d - 3. Let s(h) = 25*h**5 + 2*h**4 - 49*h + 2. Let r(p) = -2*a(p) - 3*s(p). Find the second derivative of r(x) wrt x.
-540*x**3 + 12*x
Let w be (-3)/(12/(-20)) - 1. Suppose o - w*a - 1 = 2, a = 0. What is the third derivative of -2*g**3 + 2*g**3 - g**2 - o*g**6 + 6*g**6 wrt g?
360*g**3
Let h(q) be the first derivative of -5*q**9/756 - q**5/8 - 7*q**3/3 - 21. Let v(x) be the third derivative of h(x). Find the second derivative of v(f) wrt f.
-400*f**3
Let n(q) = 4767*q**6 + 49*q**5 + 4431*q**2. Let t(x) = 596*x**6 + 6*x**5 + 554*x**2. Let p(j) = 6*n(j) - 49*t(j). Find the third derivative of p(b) wrt b.
-72240*b**3
Let t be (-3)/(-2)*(-7 + 13). Let w = -2 + t. What is the second derivative of -12 - w*h + 9*h**4 + 7 + 5 wrt h?
108*h**2
What is the derivative of 597*b**3 - 1166*b**3 - 66 + 697*b**3 wrt b?
384*b**2
Let y(k) = 80*k**2 + 10*k - 8. Let n(c) = c**2 + 2*c - 2. Let x(d) = 6*n(d) - y(d). What is the second derivative of x(t) wrt t?
-148
Let b(a) = a. Let i be b(-1). Let j(v) = v - 1. Let r(u) = -17*u + 14. Let t(w) = i*r(w) - 5*j(w). Find the first derivative of t(l) wrt l.
12
Let a = 13 - 9. What is the third derivative of -4*c**2 + a*c**3 + 4*c**3 + 2*c**3 - c**3 wrt c?
54
Let o(g) be the second derivative of g**4/12 + 26*g**3/3 + 211*g**2/2 + 20*g. Find the first derivative of o(q) wrt q.
2*q + 52
Differentiate 2554 + 8*c**3 + 8*c - 8*c**4 - 8*c - 2925 wrt c.
-32*c**3 + 24*c**2
Let u be (1/(-2))/(2/(-28)). Suppose -5*m + 15 = 4*k - 15, 0 = -5*k - m + 48. Find the third derivative of -10*g - 3*g**2 + k*g - u*g**3 wrt g.
-42
Let o = -8 + 6. Let t be 2/(12/(-9) - o). What is the second derivative of 4*l**2 + l - l**2 + t*l - l**2 wrt l?
4
Suppose -p + 4*p - 6 = 0. Let j(k) be the first derivative of -3 + 0*k**p + 1/3*k**3 - k**5 + 0*k + 0*k**4. What is the third derivative of j(g) wrt g?
-120*g
Let x(a) be the third derivative of -a**7/105 + 61*a**5/60 + 41*a**4/8 + 110*a**2 - a. Find the second derivative of x(j) wrt j.
-24*j**2 + 122
Let x(h) be the third derivative of 0*h + 0*h**3 + 0 - 9*h**2 + 0*h**4 - 1/30*h**6 - 1/20*h**5. What is the third derivative of x(t) wrt t?
-24
Differentiate 1 - 7 + 15*z**3 + 0 + 7 wrt z.
45*z**2
Let p(w) be the first derivative of -11*w**5/60 - w**3/3 + 7*w**2/2 - 8. Let z(a) be the second derivative of p(a). Find the first derivative of z(m) wrt m.
-22*m
Let v(u) be the first derivative of -74*u**2 + 10*u - 32. Differentiate v(b) with respect to b.
-148
Let v = -100 + 100. Let i(c) be the third derivative of 0*c**4 - 3*c**2 + 0 + 1/24*c**6 + 1/30*c**5 + v*c + 0*c**3. Find the third derivative of i(a) wrt a.
30
Let m(i) be the first derivative of -i**7/70 + i**5/6 + 7*i**2/2 - 10. Let q(f) be the second derivative of m(f). What is the third derivative of q(t) wrt t?
-72*t
Let o(z) be the first derivative of -z**6/10 - 7*z**4/24 - 11*z**2/2 - 8. Let y(d) be the second derivative of o(d). Find the second derivative of y(t) wrt t.
-72*t
Differentiate -118*b**3 + 22 + 387*b**3 - 10*b + 23*b - 11*b with respect to b.
807*b**2 + 2
Suppose 4*t = 4*a - 16, 3 - 6 = -t. Suppose 0 = 5*j - 3*j - 2. What is the first derivative of 0*l**2 + 3*l**2 + a - j wrt l?
6*l
Find the second derivative of -1 - 85*i**2 + 6*i**2 - 15 - i wrt i.
-158
Let t = 115 - 109. Let s(o) be the first derivative of -4/3*o**t + 0*o**5 + 8/3*o**3 + 0*o + 0*o**2 + 1 + 0*o**4. What is the third derivative of s(r) wrt r?
-480*r**2
Let b(c) = -8*c**3 + 61*c**2 + 22*c + 111. Let d(q) = 3*q**3 - 20*q**2 - 8*q - 37. Let z(h) = -4*b(h) - 11*d(h). What is the first derivative of z(m) wrt m?
-3*m**2 - 48*m
Suppose t + 4 = 5*d - 10, d + 5*t = -18. Find the second derivative of -2*w + 21*w**3 - d*w + 16*w wrt w.
126*w
What is the third derivative of -933*x**4 - 467*x**4 + 1013*x**4 + 302*x**2 wrt x?
-9288*x
Suppose 15 = 38*u - 33*u. Let v(r) = -2*r + 2. Let b be v(-2). Find the second derivative of -b*a + 2*a**3 + u*a**3 + 11*a wrt a.
30*a
Find the third derivative of 59*h**3 - 181*h**2 + 659*h**4 - 660*h**4 + h**3 wrt h.
-24*h + 360
Suppose -j = 2 - 5. Suppose 2*d + 21 = j*w + 3*d, 4*d + 14 = 2*w. What is the third derivative of -13*s**6 + 9*s**6 + w*s**2 - 3*s**6 wrt s?
-840*s**3
Let t be (-3)/(-5) + 48/20. Suppose -2*o + a + 5 = 0, -t*o + a + 7 = -0*o. Find the first derivative of 3*b**o + 0 - 4*b**2 - 5 wrt b.
-2*b
Let c(g) be the third derivative of g**7/630 - g**6/90 - g**5/12 + 7*g**2. Let y(k) be the third derivative of c(k). What is the derivative of y(x) wrt x?
8
Let z = 6454/5 - 1289. Let m(g) be the first derivative of -7/3*g**3 + 0*g**4 + 9 + z*g**5 + 0*g**2 + 0*g. What is the third derivative of m(f) wrt f?
216*f
Find the second derivative of 145 + 153 + 388*n**2 - 60*n**2 - 309 - 21*n wrt n.
656
Let z(f) be the second derivative of -8*f**7/21 - f**5/10 + 41*f**4/6 + 85*f. Find the third derivative of z(a) wrt a.
-960*a**2 - 12
Let n(f) = -f + 6. Let b be n(4). What is the third derivative of 2*u**4 - 159*u**2 + 3*u**5 + 161*u**b - 2*u**4 wrt u?
180*u**2
Let b(z) be the second derivative of -63*z**5/10 - 43*z**2/2 - 39*z. What is the derivative of b(o) wrt o?
-378*o**2
Let i(v) be the third derivative of -13*v**7/210 - v**6/40 - 451*v**4/24 + 474*v**2. What is the second derivative of i(n) wrt n?
-156*n**2 - 18*n
Suppose -4*h - h = -75. Find the third derivative of -h*m**4 + 10*m**4 + 20*m**2 - 20*m**4 - 34*m**2 wrt m.
-600*m
What is the third derivative of -1250*n**3 + 629*n**3 - 3*n**4 + 634*n**3 - 387*n**2 + 5*n**4 wrt n?
48*n + 78
Let v(j) be the second derivative of -12*j - 1/3*j**4 + 0*j**3 - 11/20*j**5 + 0 + 0*j**2. What is the third derivative of v(k) wrt k?
-66
Let x(v) be the first derivative of -14*v**5/5 - 63*v - 518. Differentiate x(j) with respect to j.
-56*j**3
Let k(c) be the first derivative of -c**2 - 6*c + 7. Let x be k(-5). What is the second derivative of -6*v - 3*v**4 + 4*v**x + 5*v wrt v?
12*v**2
Let v(i) be the second derivative of 0*i**5 + i**2 + 0*i**4 + 0*i**3 + 2/5*i**6 + 7*i + 0. Differentiate v(a) with respect to a.
48*a**3
What is the third derivative of -87*t**2 - 166*t**4 + 87*t**4 + 94*t**4 wrt t?
360*t
Suppose 9*l = 6*l + 204. What is the second derivative of l - 23*v**2 + 18*v - 68 wrt v?
-46
Let g(k) = -k. Suppose 2*b - 5*b = 15. Let m(j) = 5*j**2 + 5*j - 7. Let r = 81 + -82. Let i(h) = b*g(h) + r*m(h). What is the derivative of i(c) wrt c?
-10*c
Suppose 2*h + 0 + 20 = 0. Let u(m) = -m**3 - 11*m**2 - 9*m + 13. Let j be u(h). Find the third derivative of -6*d + 6*d - 2*d**2 - 5*d**5 - j*d**2 wrt d.
-300*d**2
Let w(g) = -g**3 - 9*g**2 + 16*g - 14. Let r b