2*y
Let d = -61 - -35. Let g = 29 + d. Find the second derivative of -r**3 - 13*r**5 + r**g + 29*r - 28*r wrt r.
-260*r**3
Let w(g) be the first derivative of 0*g**4 + 5/6*g**6 + 0*g**5 + 0*g + 0*g**3 + 6 - 4*g**2. Find the second derivative of w(f) wrt f.
100*f**3
Let p(t) = -24*t**2 + 5*t + 1. Let i(u) = -u**2 - u - 1. Let c be ((-4)/32)/(2/(-16)). Let r(x) = c*p(x) + 5*i(x). What is the derivative of r(d) wrt d?
-58*d
What is the third derivative of -71*b**6 - b**3 - 20*b**6 - 85*b**2 + 13*b**6 + 3*b**3 wrt b?
-9360*b**3 + 12
What is the third derivative of 9 + 157*a**6 - 39*a**6 + 4*a**2 + 2*a**2 + 48 - 5*a**2 wrt a?
14160*a**3
Suppose 3*t - 33 + 15 = 0. Let h(w) = -19*w**2 - 5*w. Let r(q) = 20*q**2 + 6*q - 1. Let d(f) = t*h(f) + 5*r(f). Differentiate d(p) wrt p.
-28*p
Let d(o) = -12*o - 8. Let m be d(-5). Differentiate 73*h + 28 + m*h - 98*h with respect to h.
27
Find the third derivative of -44*i**3 - 1371*i + 5*i**2 + 1371*i - 107*i**2 wrt i.
-264
Let d(b) be the first derivative of 5*b**8/168 - b**5/4 + 5*b**2/2 - 5. Let y(a) be the second derivative of d(a). Find the third derivative of y(m) wrt m.
600*m**2
Let j(q) be the first derivative of 9/2*q**2 + 0*q**3 - 1/2*q**6 + 0*q**5 + 0*q - 3 + 0*q**4. Find the second derivative of j(v) wrt v.
-60*v**3
Suppose 5*d - 4*h = 140, -3*d = -6*d + 4*h + 76. Suppose -5*p + 55 = 5*n, -3*p + 0*p - 2*n = -d. Differentiate 4*g + 2*g + 6*g - p - 6*g wrt g.
6
Let r(f) be the first derivative of -13*f**6/3 - f**4/4 + 45*f**3 - 90. What is the third derivative of r(u) wrt u?
-1560*u**2 - 6
Suppose d = -4*o - 4, 2*d - o - 6 - 4 = 0. Suppose -35 = -k - d*k. Find the second derivative of -2*q**3 + 3*q - 1 + 1 + k*q wrt q.
-12*q
Suppose -4*r + 4*n = -28, 0 = 5*r + 5*n - 0*n - 15. Let a(m) be the second derivative of 2/3*m**3 - 7/2*m**2 + 0 + r*m. Differentiate a(w) wrt w.
4
Let c(v) be the third derivative of -v**7/180 - v**5/15 - v**4/12 - 3*v**2. Let x(p) be the second derivative of c(p). Differentiate x(w) with respect to w.
-28*w
Let o(l) be the first derivative of -49*l**6/120 - 3*l**3/2 + 5*l**2/2 + 2*l - 22. Let f(b) be the second derivative of o(b). Differentiate f(k) wrt k.
-147*k**2
Let a = 39 - 37. Find the third derivative of -3*o**2 + 6*o**2 + 4 - 4 - a*o**6 wrt o.
-240*o**3
Let n(t) = -117*t**3 + 5*t**2 - 24*t. Let i(x) = 1872*x**3 - 81*x**2 + 384*x. Let k(r) = 2*i(r) + 33*n(r). What is the third derivative of k(w) wrt w?
-702
Let j(z) = -z**4 + z**3 - z. Let t(q) = -5*q**4 + 3*q**3 - 15*q**2 - 3*q + 77. Let p(d) = 3*j(d) - t(d). Differentiate p(r) wrt r.
8*r**3 + 30*r
What is the third derivative of 36*r**2 + 12*r**3 + 50*r**2 - 30*r**2 + 54*r**2 wrt r?
72
Let m(p) be the third derivative of -73*p**6/24 - 11*p**4/8 - p**3/6 - p**2 - 25. What is the second derivative of m(t) wrt t?
-2190*t
Let o(h) = 4*h. Let m = -36 + 48. Let b(t) = t**4 + t. Let p(i) = m*b(i) + o(i). Find the second derivative of p(g) wrt g.
144*g**2
Let c(j) be the third derivative of 0*j**4 - 3/10*j**6 - 1/3*j**3 + 0 - 31*j**2 + 0*j**5 + 0*j. What is the derivative of c(f) wrt f?
-108*f**2
Let d(s) = 27*s**4 - s**3 - 5*s**2 + 23. Let o(q) = 26*q**4 - q**3 - 4*q**2 + q + 22. Let k(n) = -4*d(n) + 5*o(n). Find the second derivative of k(w) wrt w.
264*w**2 - 6*w
Let z = -31 - -31. Find the third derivative of 4*x**2 + 2*x**3 + z*x**2 + 7*x**3 wrt x.
54
Let o(x) be the third derivative of 41*x**7/35 + 81*x**3/2 + x**2 - 10. Differentiate o(a) wrt a.
984*a**3
Let b(o) = -18*o**4 + 3*o**3 + 38*o**2 + 6*o + 6. Let a(x) = x**4 - x**2 - x - 1. Let t(n) = 6*a(n) + b(n). Find the third derivative of t(c) wrt c.
-288*c + 18
Let j be ((-65)/(-10) + -4)*2. What is the third derivative of -2*q**5 + 5*q**j - 6*q**2 - 4*q**5 wrt q?
-60*q**2
Differentiate -9*c**4 + 79 - 22*c**4 - 9*c**4 - 23*c**4 wrt c.
-252*c**3
Let s(d) be the first derivative of 369*d**4/4 - 45*d - 316. What is the first derivative of s(q) wrt q?
1107*q**2
Let o(a) = -23*a**3 - 221*a**2 - 321*a - 6. Let j(c) = -8*c**3 - 74*c**2 - 107*c - 2. Let r(p) = 17*j(p) - 6*o(p). What is the second derivative of r(q) wrt q?
12*q + 136
Suppose -27*x = 248 - 383. Let h = 8 - 6. Find the third derivative of x*m**h + m**2 - m**2 + 2*m**3 wrt m.
12
Let v(x) be the third derivative of x**8/630 - x**6/20 + 7*x**5/60 - 34*x**2. Let s(z) be the third derivative of v(z). Find the first derivative of s(i) wrt i.
64*i
What is the third derivative of -44*r**5 + 6*r**2 - 24 + 19*r**5 + 26*r**5 - r**2 - 18 - 184*r**3 wrt r?
60*r**2 - 1104
Find the second derivative of -9*v - 129*v**2 - 33*v**5 - 35*v + v + 130*v**2 wrt v.
-660*v**3 + 2
Let a be ((-18)/(-15))/((-9)/(-30)). Suppose 0 = q - a*q + 9. Differentiate -3*g**3 - 4*g**q + 1 + 2*g**3 wrt g.
-15*g**2
Let z(l) be the second derivative of 8*l - 2*l**2 - 3/2*l**3 + 0. What is the derivative of z(d) wrt d?
-9
Find the second derivative of -31*u**5 + 34*u + 10*u - 81*u - 95*u wrt u.
-620*u**3
Suppose y = -2*c, -3*c - 4*y = 2*c. What is the third derivative of 3*g**2 + g**6 - 6*g**2 + 0*g**2 + c*g**6 wrt g?
120*g**3
Let u = -44 - -51. Find the third derivative of 8*f**5 + 4*f**2 + 17*f**5 - 7*f + u*f wrt f.
1500*f**2
Let h(i) be the first derivative of 112*i**3/3 + 3*i**2 + i - 58. What is the second derivative of h(f) wrt f?
224
Suppose 0 = -3*g - 0*g. Let p be 7/((-14)/(-12)) - (1 + -1). What is the third derivative of 0*r**4 + r**2 + 0*r**4 + g*r**5 + p*r**5 wrt r?
360*r**2
Let h(v) = 22*v**3 + v**2 - 5*v + 9. Let g(k) = 23*k**3 + k**2 - 4*k + 8. Let s(w) = -5*g(w) + 4*h(w). What is the derivative of s(a) wrt a?
-81*a**2 - 2*a
Suppose 7 = -2*b + 17. Suppose 3*l = 5*t - 3*t + 42, b*l - 70 = -t. Find the second derivative of -l*k**4 + 5*k - 4*k**3 + 3*k**4 + 4*k**3 wrt k.
-132*k**2
Let i = -329/6 - -56. Let v(h) be the second derivative of 0*h**4 - i*h**3 + 0 - 7/20*h**5 + 0*h**2 + 2*h. What is the second derivative of v(b) wrt b?
-42*b
Let r(c) be the first derivative of -629*c**4/4 + 11*c**2 + 2*c + 257. What is the second derivative of r(y) wrt y?
-3774*y
Let w(c) = -12*c**3 + 3*c**2 - 5*c - 37. Let y(n) = 13*n**3 - 4*n**2 + 6*n + 38. Let q(g) = -4*w(g) - 3*y(g). Find the second derivative of q(l) wrt l.
54*l
Suppose -6*q + 11*q - 75 = 5*r, -2*r = 4. Find the first derivative of 5 - 22*k + 9*k + q*k**3 + 13*k wrt k.
39*k**2
Let c = 121/4056 + 2/169. Let x(o) be the third derivative of c*o**4 + 3*o**2 + o**3 + 0*o + 0. Differentiate x(u) with respect to u.
1
Suppose 0 = 2*n + n. Let x(q) be the first derivative of -q**2 + 3*q - 4*q + 2 - 4*q + n*q. Differentiate x(g) with respect to g.
-2
Let u(s) be the second derivative of 95*s**5/4 + 147*s**3/2 - s**2 - 14*s + 1. What is the second derivative of u(c) wrt c?
2850*c
Let y be (-10)/(-15) + 4/3. Find the third derivative of -78*p**2 + 6*p**4 + 69*p**y + 2*p - 2*p wrt p.
144*p
Let s(l) be the second derivative of l**7/21 + 2*l**6/3 - l**4/6 - 29*l**3/6 - 13*l - 1. Find the third derivative of s(k) wrt k.
120*k**2 + 480*k
What is the second derivative of 4*m**3 - 1 - 104*m**4 - 145*m + 67*m - 3*m**3 wrt m?
-1248*m**2 + 6*m
Let k(y) be the second derivative of 17*y**7/7 + 181*y**4/12 + 10*y. What is the third derivative of k(q) wrt q?
6120*q**2
Find the third derivative of 763*o + 16*o**3 - 763*o - 40*o**2 wrt o.
96
Let p(i) be the second derivative of 5*i**7/42 + i**5/5 - 8*i**2 - 14*i. Let c(r) be the first derivative of p(r). Find the third derivative of c(u) wrt u.
600*u
Let k(r) be the third derivative of 27*r**8/16 + 689*r**4/24 - 3*r**2 - 137*r. Find the second derivative of k(q) wrt q.
11340*q**3
Let k be -1*2*10/(-4). Differentiate -3 + k + 21*n**2 + 0 - 4 with respect to n.
42*n
Let y = 44 + -42. What is the derivative of 2*d**y + 2*d**2 + 6*d**2 - 3*d**2 + 19 wrt d?
14*d
Differentiate 8*g - 7*g - 40*g**2 - 31*g**2 + 53 - 276 wrt g.
-142*g + 1
Let q(u) be the third derivative of 0*u + 7/15*u**5 + 0*u**3 + 30*u**2 + 1/6*u**4 + 0. Find the second derivative of q(g) wrt g.
56
Let v(m) be the second derivative of m**7/42 - 3*m**5/5 - 35*m**4/12 - 324*m. Find the third derivative of v(k) wrt k.
60*k**2 - 72
Let v(f) = 1617*f - 3813. Let x(l) = -405*l + 953. Let g(m) = 4*v(m) + 15*x(m). Find the first derivative of g(a) wrt a.
393
Let v(a) = -97*a**5 - 12*a**2 - 6*a + 6. Let w(m) = 97*m**5 