- g**3/3 + 201*g**2. What is the third derivative of k(n) wrt n?
1440*n**3 + 168*n
Let m(t) be the second derivative of 5*t**8/336 + 19*t**5/60 + 10*t**2 - t. Let a(p) be the first derivative of m(p). Find the third derivative of a(b) wrt b.
300*b**2
Let t be (3 + 7)/(((-1)/1)/(-4)). Find the second derivative of 5*q**2 - 5*q**2 + 59*q**5 - t*q**5 + 10*q wrt q.
380*q**3
Find the second derivative of 5*y**4 + 17*y - 33*y**5 + 29*y**5 + 10*y**4 + 9*y + 3 wrt y.
-80*y**3 + 180*y**2
Let t(w) be the first derivative of 9*w**2/2 - 41*w + 10. Let d(s) = -44*s + 204. Let v(y) = 3*d(y) + 16*t(y). Differentiate v(o) with respect to o.
12
Let l(m) be the second derivative of -27*m**4 - 173*m**3/3 - 19*m + 4. Find the second derivative of l(p) wrt p.
-648
Suppose -2*q + 0*q + 4*r = -26, -5*q + 83 = -r. Find the third derivative of 8*a**4 + 11*a**2 - a - q*a**2 + a wrt a.
192*a
Let x be (1*-4 - 2)/(-2). Suppose -2 + 23 = 5*n + x*i, 5*n = 2*i + 11. Find the second derivative of 7*w + 36*w**2 - 34*w**2 - n*w wrt w.
4
Let q(h) be the third derivative of 19*h**7/70 - h**5/30 - 271*h**3/6 - 243*h**2. What is the derivative of q(d) wrt d?
228*d**3 - 4*d
Differentiate 46*s**4 + 2*s**2 + 1706*s + 37 - 1706*s with respect to s.
184*s**3 + 4*s
Let t(n) be the third derivative of -23*n**7/42 - 2*n**5/15 + n**3/3 - 9*n**2 + 7*n. What is the third derivative of t(v) wrt v?
-2760*v
Let t(b) be the second derivative of -583*b**8/56 - 7*b**4/3 - b**2/2 - 96*b - 2. Find the third derivative of t(q) wrt q.
-69960*q**3
What is the third derivative of -10*u**6 + 20*u**6 - 9*u**6 - 218*u**3 + 228*u**3 + 799*u**2 wrt u?
120*u**3 + 60
Suppose -4*o + 24 = -2*o. Suppose 0 = -2*v + 4*l - 6*l + o, 0 = v - 4*l + 9. Find the second derivative of c**v - 4*c**3 - 5*c - c**3 wrt c.
-24*c
Let g(d) be the second derivative of -9*d**5/2 + d**4/6 - 5*d**2 - 226*d. Find the third derivative of g(n) wrt n.
-540
What is the second derivative of -2076*a**2 + 2060*a**2 - 6*a**3 - 4*a + 40*a wrt a?
-36*a - 32
Find the third derivative of -781*y**4 + 17 + 121*y**6 + 137*y**6 + 781*y**4 - 5*y**2 wrt y.
30960*y**3
Let v(y) = 3*y**2 - 2*y - 1. Let h be v(-1). Suppose -7 = d + 2*b, -d = 2*d + b - h. Find the second derivative of -2*g + 0*g**d - g**3 - g + 6*g wrt g.
-6*g
Suppose 0 = j + 2*j - 12. Let f(h) be the third derivative of h**4/24 - 2*h**2 + 42. Let d(s) = -2*s - 4. Let i(x) = j*f(x) + d(x). Differentiate i(u) wrt u.
2
Let q(m) be the first derivative of -1/4*m**4 + 0*m + 9/2*m**2 + 0*m**3 - 10. What is the second derivative of q(y) wrt y?
-6*y
Let a(d) be the first derivative of d**7/70 + d**4/8 + 25*d**2/2 - 27. Let y(z) be the second derivative of a(z). What is the second derivative of y(g) wrt g?
36*g**2
Suppose 2*u + 8 = 16. Find the second derivative of 17*m - 7*m**2 + 2*m**2 + 5*m**2 + 7*m**u wrt m.
84*m**2
Let f = -7 + 17. Suppose -6*m + m = -f. Find the first derivative of 47*l**m + 2*l**3 + 2 - 47*l**2 wrt l.
6*l**2
Let k be (-9)/3 - -1 - -7. Find the second derivative of -6*b**5 + b + 2*b**5 + 9*b**k + 7*b wrt b.
100*b**3
Let m be 5 + (0 - 20/5). Let x be 8 + -2 + m + -2. Find the second derivative of 5*n**x - 39*n**2 + 39*n**2 - 6*n wrt n.
100*n**3
Let y(h) be the third derivative of -h**4/24 - h**3/6 + 5*h**2. Let m be y(-3). Find the second derivative of 0*p**2 + 2*p**2 - 2*p**2 - 3*p + 4*p**m wrt p.
8
What is the third derivative of 3*s**3 - 2*s**2 + 35 + 37*s**3 - 54 - 3*s**4 + s**4 wrt s?
-48*s + 240
Let s be ((-4)/16)/((-3)/60). Let f be 3/9 - s/(-3). Find the second derivative of -x - 13*x**f - 6*x + 8*x**2 wrt x.
-10
Let k(b) = -b**2 - b + 4. Let f be k(0). What is the third derivative of 11*h**2 - 25*h**4 + 45*h**f - 21*h**4 wrt h?
-24*h
Let x = 120 - 84. Find the second derivative of x*q - 18*q**5 - 4*q**5 - 3*q - 9*q**5 wrt q.
-620*q**3
Let v(g) = 20*g**3 + 48*g + 7. Let b(y) = 7*y**3 + 16*y + 2. Let t = -37 + 35. Let c(q) = t*v(q) + 7*b(q). Find the second derivative of c(m) wrt m.
54*m
Suppose -4*p + p + 12 = 0. Suppose 12 = 5*m + 2. What is the second derivative of -8*s + p*s**2 - 3*s**m + s + 8*s**2 wrt s?
18
Let d(r) = r**3 - 5*r**2 + 3*r - 4. Let q be d(4). Let l = -4 - q. Find the first derivative of 1 - l - j + 0 - 2*j wrt j.
-3
Let w(l) be the second derivative of 325*l**4/12 + 701*l**2/2 + 2*l - 85. Differentiate w(m) wrt m.
650*m
What is the second derivative of -v**3 + 111*v - 93*v**5 - 224*v**5 + 132*v + v**3 wrt v?
-6340*v**3
Let g(d) = 6*d**2 + 154*d - 9. Let l(u) = -3*u**2 - 77*u + 4. Let c(n) = 4*g(n) + 9*l(n). What is the second derivative of c(m) wrt m?
-6
Suppose 3*j - 20 - 82 = 0. What is the first derivative of -12*w**3 + j - 57 - 16*w**3 wrt w?
-84*w**2
Let i(q) be the third derivative of 0*q**4 + 0*q**7 + 0 + 0*q + 0*q**6 + 0*q**3 - 1/56*q**8 + 5*q**2 - 1/20*q**5. Find the third derivative of i(l) wrt l.
-360*l**2
Let g(i) = 4 + 10*i**3 + 13*i - 8*i + 2. Let j(b) = -9*b**3 - 4*b - 6. Let d(p) = 4*g(p) + 5*j(p). Differentiate d(q) with respect to q.
-15*q**2
Let f(l) be the third derivative of -323*l**6/120 + 43*l**5/60 - 3*l**2 + 51. What is the third derivative of f(u) wrt u?
-1938
Let f(p) be the second derivative of -79*p**8/14 - 97*p**4/6 - 5*p - 23. Find the third derivative of f(c) wrt c.
-37920*c**3
What is the derivative of -36*u**2 + 39*u**2 + 41*u**3 - 2*u**2 - 94 wrt u?
123*u**2 + 2*u
Let q(m) = -64*m**5 - 3*m**4 + 206*m + 2. Let o(p) = p**5 + p**4 - p - 1. Let z(n) = -3*o(n) - q(n). What is the second derivative of z(j) wrt j?
1220*j**3
Let z(k) be the second derivative of -k**6/30 - k**4/6 - 136*k**3 - 127*k + 2. Find the second derivative of z(t) wrt t.
-12*t**2 - 4
Let p(t) = -183*t**4 + 2*t**3 + 2*t - 89. Let a(m) = m**4 - m**3 - m + 3. Let f(j) = -2*a(j) - p(j). What is the first derivative of f(z) wrt z?
724*z**3
Let i(t) = -3*t**3 + 10*t + 64. Let w(k) = -k**3 + 2*k + 1. Let b(g) = -2*i(g) + 10*w(g). Find the first derivative of b(c) wrt c.
-12*c**2
Let i(v) = -9*v**2 - 140*v - 8. Let c(n) = 54*n + 39*n - 61*n**2 + 5 + 67*n**2. Let l(h) = 8*c(h) + 5*i(h). What is the second derivative of l(s) wrt s?
6
Let v(b) = -3*b - b**2 - 2*b**3 - 2*b + 4*b - 2*b**2. Let g be v(-2). Find the third derivative of g*c**3 + 3*c**2 - 3*c**3 - 6*c**2 wrt c.
18
Suppose -101 - 245 = -2*d. Find the second derivative of -8*y**5 - 173*y**4 + 8*y + d*y**4 wrt y.
-160*y**3
Let j(n) be the first derivative of 5*n**9/1008 - n**6/60 + 5*n**3 + 10. Let h(t) be the third derivative of j(t). What is the third derivative of h(w) wrt w?
900*w**2
Let m be (-18)/(-5) + (-8)/(-20). Find the second derivative of 16*b - 8*b + m*b + 15*b**2 wrt b.
30
Let h(r) be the third derivative of r**6/60 - 5*r**5/4 - 118*r**2. Find the third derivative of h(u) wrt u.
12
Let w be (9/45 - 8/15)*0. Let x(t) be the third derivative of w*t**5 + 5*t**2 - t**3 + 0*t**4 + 0 + 0*t - 1/120*t**6. Differentiate x(a) with respect to a.
-3*a**2
What is the third derivative of 14*i**5 + 117*i**2 - 62*i**4 - 15*i**5 + 112*i**2 - 24*i**2 wrt i?
-60*i**2 - 1488*i
Suppose 3*c - 29 = -2*g, -6*g - 2*c + 56 = -g. Find the first derivative of g*z**4 - 7 - 7 - 6 wrt z.
40*z**3
Let h(i) = i**2 + i. Let p be h(-2). Find the second derivative of -z**2 - p*z - 5*z**2 + 4*z wrt z.
-12
Find the first derivative of 528*f**4 + 485*f**4 - 952*f**4 - f**3 - 2 wrt f.
244*f**3 - 3*f**2
Let f(x) be the first derivative of -1 - 7/2*x**2 - 19*x. Find the first derivative of f(p) wrt p.
-7
What is the third derivative of -1458*q**2 - 7*q + 1456*q**2 - 22*q**6 + 6*q wrt q?
-2640*q**3
Let s(l) be the second derivative of l**4/24 - 3*l**3/2 + 9*l**2/2 - 13*l. Let j(p) be the first derivative of s(p). What is the first derivative of j(f) wrt f?
1
Let u(b) = 226*b**3 + 7*b**2 - 4*b - 8. Let p(y) = -y**3 + y + 1. Let r(w) = 4*p(w) + u(w). What is the third derivative of r(j) wrt j?
1332
Let d(i) be the third derivative of -i**2 + 1/24*i**6 + 0 + 0*i**3 + i**4 + 1/20*i**5 + 14*i. What is the second derivative of d(q) wrt q?
30*q + 6
Let p(t) = -t**2 - t. Let h(k) = -203*k**3 + 5*k**2 + 5*k - 50. Let s(n) = -h(n) - 5*p(n). Find the first derivative of s(v) wrt v.
609*v**2
Let t(k) = -238*k**2 + 236. Let v(l) = 119*l**2 - 118. Let i(b) = 6*t(b) + 13*v(b). Find the first derivative of i(f) wrt f.
238*f
Let d = -16 - -21. S