- 48*u**2 + 48*u**2 - 100*u**2 + 30*u**3 wrt u?
618
Let l(s) be the second derivative of 17*s**5/60 - s**3/3 + 25*s**2/2 + 7*s. Let k(i) be the first derivative of l(i). Differentiate k(q) wrt q.
34*q
Let o(n) = -27*n**3 - 3*n**2 + 47*n. Let w(b) = b**2 - b. Let m(y) = o(y) + 3*w(y). Find the second derivative of m(h) wrt h.
-162*h
Let g(z) = -3*z - 15. Suppose 6*k - 2*k = -28. Let n be g(k). Find the third derivative of 6 - 2*s**4 - 9*s**2 + 3*s**2 - n wrt s.
-48*s
Find the third derivative of -16*j - 2*j**2 - 4*j**4 + 72810*j**3 + 24*j**6 - 72810*j**3 wrt j.
2880*j**3 - 96*j
Let d(i) be the third derivative of i**6/60 - 5*i**4/4 - 71*i**3/6 - 19*i**2 - 3. Find the first derivative of d(u) wrt u.
6*u**2 - 30
Let g(y) = -191*y**2 + 495*y - 12. Let i(n) = n**2 - n + 2. Let j(o) = g(o) + 6*i(o). Find the second derivative of j(k) wrt k.
-370
Let i(g) be the first derivative of -17*g**7 + g**6/6 - 82*g**3/3 + g**2/2 + 70. What is the third derivative of i(v) wrt v?
-14280*v**3 + 60*v**2
Suppose -15 = 2*n + 47. Let z = 45 + n. Find the third derivative of -4*t**2 + z*t**2 - 7*t**5 - 79*t**3 + 79*t**3 wrt t.
-420*t**2
Let x(c) be the second derivative of 0 - 19/56*c**8 + 0*c**6 + 0*c**5 - 16*c + 0*c**7 + 0*c**3 + 0*c**2 - 19/12*c**4. Find the third derivative of x(h) wrt h.
-2280*h**3
Let t be (-9)/3 + 9 + -3. Suppose -2*l + 5 + t = 0. What is the second derivative of -l*a**5 + 8*a**3 - 8*a**3 + a wrt a?
-80*a**3
Let z(j) = 9*j**2 - 6*j + 15. Suppose 5*y = 6*y + 7. Let g(d) = 10*d**2 - 7*d + 16. Let l(x) = y*z(x) + 6*g(x). Find the first derivative of l(m) wrt m.
-6*m
Let n(c) = c - 1. Let i(t) = 13*t**2 - 6*t + 12. Let s be 5/1 + (6 + -1)/5. Let u(g) = s*n(g) + i(g). What is the first derivative of u(l) wrt l?
26*l
Let a be 2/(-8)*(4 + -8). Find the first derivative of 5 + x + 6*x - a wrt x.
7
Let a(y) = y**2 + 16*y - 33. Let n be a(-18). Let g = 0 + 7. Find the second derivative of 0*i - 5*i**3 + g*i**n - 4*i + 2*i**3 wrt i.
24*i
Let i(l) be the first derivative of -1/60*l**5 - 4/3*l**3 + 0*l**2 + 5 + 0*l - 1/6*l**4. Let y(a) be the third derivative of i(a). Differentiate y(t) wrt t.
-2
Let f(t) be the first derivative of -56*t**4 + 2*t**3/3 - 3*t - 193. What is the third derivative of f(p) wrt p?
-1344
Let t(d) be the third derivative of 0*d**3 + 0*d + 11*d**2 + 0*d**5 + 1/4*d**4 + 0 - 1/40*d**6. What is the second derivative of t(s) wrt s?
-18*s
Let h(l) be the first derivative of 14*l**3 + l**2 + 24*l - 2. Differentiate h(j) wrt j.
84*j + 2
Let c(i) be the first derivative of -87*i**4/4 - 19*i + 44. Differentiate c(q) with respect to q.
-261*q**2
Let u be (-8 - -11) + -1*(-1)/(-1). Differentiate -19 - u*d**4 - 5004*d**2 + 5004*d**2 with respect to d.
-8*d**3
Let h be 6/21 + 1*4182/14. What is the third derivative of -307*u**2 + 0*u**5 + h*u**2 + 0*u**5 + 2*u**6 wrt u?
240*u**3
Let s = 973/6 - 162. Let i(k) be the third derivative of -4*k**2 - 1/120*k**6 + 0 - s*k**3 + 0*k**4 + 0*k**5 + 0*k. Differentiate i(p) with respect to p.
-3*p**2
Suppose -18 = -b - 2*b. Find the second derivative of -b*u - 7*u**5 + 26 - 26 wrt u.
-140*u**3
Let y(o) = -4*o - 14. Let w be y(-4). What is the second derivative of -10*i**2 + 3*i**w + 7*i**2 - 3*i**3 - 5*i wrt i?
-18*i
Let i(d) be the third derivative of 163*d**6/120 + d**4/12 - 137*d**3/6 - 261*d**2. What is the second derivative of i(s) wrt s?
978*s
Let f(p) = 4*p + 9 - 5*p - 17. Let r be f(-11). Find the second derivative of -5*c + c - 8*c**3 + 9*c**r + 11*c wrt c.
6*c
Suppose 0 = -3*u - 6, -u + 1 = k + 3. Let z(q) be the third derivative of k*q**4 + 2/3*q**3 - q**2 + 0*q + 0 + 1/20*q**5. Differentiate z(o) wrt o.
6*o
What is the third derivative of -88*h**3 - 80*h**5 + 34*h**3 - 40*h**2 + 54*h**3 wrt h?
-4800*h**2
Let q(b) = -155*b**2 + 185*b + 22. Let c(m) = 77*m**2 - 92*m - 12. Let v(a) = 11*c(a) + 6*q(a). Find the second derivative of v(s) wrt s.
-166
Suppose 6*d - 7*d = -8*d. Let i(y) be the second derivative of d*y**2 + y + 1/2*y**3 + 1/12*y**4 + 0. Find the second derivative of i(n) wrt n.
2
Find the first derivative of -271 + 36 - 3 + 420*b wrt b.
420
Let f(c) be the third derivative of 37*c**6/24 + 22*c**5/5 + 565*c**2. What is the third derivative of f(z) wrt z?
1110
Let c = 2/203 + 199/406. Let y(i) be the first derivative of 0*i + c*i**2 + 0*i**4 - 3 - 7/5*i**5 + 0*i**3. Find the second derivative of y(o) wrt o.
-84*o**2
Let v(f) = -8 + 8*f**2 + 2 - 3*f**2 - 6*f - 2*f**2. Let p be v(-4). Find the second derivative of p - 66 - 5*a + 5*a**5 wrt a.
100*a**3
Let l(g) = 53*g**3 - 2*g**2 - 78. Let r(p) = -p**3 - p**2. Let d(m) = l(m) - 2*r(m). Differentiate d(q) wrt q.
165*q**2
Let s(w) be the first derivative of -w**8/56 + 5*w**4/4 + 9*w + 17. Let z(u) be the first derivative of s(u). What is the third derivative of z(m) wrt m?
-120*m**3
Let q(d) = d**5 + d**3 + d**2 + d - 2. Let h(r) = -3*r**3 - r**2 - 10*r + 13. Let o(t) = h(t) + 3*q(t). What is the second derivative of o(c) wrt c?
60*c**3 + 4
Let u(a) = a - 6. Let o be u(11). Suppose -m = -o*m. What is the third derivative of -4*y**2 + m*y**3 + 8*y**2 + 10*y**3 - 4*y**3 wrt y?
36
Let o(w) = -w**3. Let n = -4 - -7. Let t(q) = -2*q + 2*q**3 + 4*q**n - 4*q**3 - 3*q**3. Let s(k) = -4*o(k) + t(k). Find the second derivative of s(d) wrt d.
18*d
Let l(p) = 196*p + 3. Let w be l(1). What is the second derivative of -6*x**2 - w*x + 196*x + 18*x**2 wrt x?
24
Let v(x) = 96*x**3 - 169*x**2 - 5*x. Let t(k) = 97*k**3 - 168*k**2 - 6*k. Let i(g) = -5*t(g) + 6*v(g). Find the third derivative of i(n) wrt n.
546
Suppose -4*y - 20 = 0, 2*p - y - 11 = 4. Differentiate 25*n**2 - p*n - 9 + 5*n - 5*n**2 wrt n.
40*n
Let n = 10 - 37. Let u = -23 - n. Find the first derivative of 1 - 8*d**u - 9 - 5 + 2*d**4 wrt d.
-24*d**3
Let d(b) = 225*b**3 + 2*b**2 + 121*b + 8. Let y(j) = j**3 + j**2 + 2*j + 2. Let z(k) = -d(k) + 4*y(k). What is the third derivative of z(f) wrt f?
-1326
Suppose -4*c - 2 = -34. Suppose -3*p = 6*q - 2*q - c, 4*p = -2*q + 4. What is the second derivative of -7*w**5 + 4*w**5 + p*w**5 - 6*w**5 - 3*w wrt w?
-180*w**3
What is the third derivative of -95*o**5 - 50*o**2 + 13*o**2 - 18*o**2 - o**2 + 1 wrt o?
-5700*o**2
Let y be 48/(-112) + (-10)/(-7). Differentiate -14*w**2 + y + 4 + 36*w**2 - 5*w**2 wrt w.
34*w
Let q(h) be the third derivative of -33*h**8/112 - h**7/210 + 23*h**5/12 - h**4/12 + 89*h**2 + 2. What is the third derivative of q(m) wrt m?
-5940*m**2 - 24*m
Differentiate 57 - 17*s - 225 - 26*s wrt s.
-43
Suppose -2*c - 31 = -5*z, -3*c = 2*z - 1 - 0. Find the third derivative of 3*s**2 - s**2 + 0*s**z + s**5 wrt s.
60*s**2
Find the second derivative of -116*o - 64*o**2 + 28*o - 25*o**2 - 110*o wrt o.
-178
What is the third derivative of -231 + 51*w**3 + 2*w**2 - 4*w**2 - 2374*w**5 + 2375*w**5 wrt w?
60*w**2 + 306
Let n(x) = 5*x**3 - 2*x + 1. Let g be n(1). Find the second derivative of 4*h**5 + 8*h**4 - 18*h + 0*h**g - 8*h**4 wrt h.
80*h**3
Let u(s) = -s + 1. Let i(y) = 9*y + 6. Suppose 7*a = 10*a - 6. Let n(v) = a*u(v) - i(v). Find the first derivative of n(h) wrt h.
-11
Let q = -1394 + 1396. Let l(o) be the first derivative of 0*o + 0*o**4 + 1/3*o**6 + 0*o**2 + 1 + q*o**3 + 0*o**5. What is the third derivative of l(u) wrt u?
120*u**2
Suppose c + 4*c = 20. Suppose 0 = 2*q - j - j - 14, -c*q + 22 = -j. Find the first derivative of 4*n**3 + 25*n**2 + q - 25*n**2 wrt n.
12*n**2
Let m(o) = -o - 17. Let f be m(-14). Let u = f - -7. Find the second derivative of -t - u*t + 0*t + 3*t**3 wrt t.
18*t
Let s(a) be the second derivative of -11*a**5/5 - 37*a**4/4 - 2*a + 110. What is the third derivative of s(o) wrt o?
-264
Let h(u) be the second derivative of 101*u**3/3 + 3*u**2/2 - 7*u - 28. Differentiate h(y) wrt y.
202
Let q = 17 - 14. Suppose 2*a + 9 = q*v, -9 = -3*v - 0*a + 5*a. What is the second derivative of -4*w - 3*w**2 + w**2 - v + 3 wrt w?
-4
Let l(f) be the third derivative of f**8/336 - 73*f**6/120 - f**4/4 + 11*f**3/2 + 486*f**2. What is the second derivative of l(r) wrt r?
20*r**3 - 438*r
Let m(d) = 2*d**2 - 2*d + 3. Let i(o) = -69*o + 130*o + 11 - 70*o + 7*o**2. Let y = -22 - -4. Let u(a) = y*m(a) + 4*i(a). Differentiate u(n) wrt n.
-16*n
Let m(w) be the first derivative of -334*w**3/3 - 43*w**2/2 - 2*w + 382. Find the second derivative of m(