169*m - y*m**2 - 169*m wrt m?
-2520*m**2
Let k = -20 - -23. Suppose -3*s + k + 3 = 0. What is the third derivative of -3*q**2 - q**2 + 10*q**3 + 16*q**s wrt q?
60
Let o(t) be the third derivative of -3*t**2 + 17/6*t**3 + 1/3*t**4 + 0 + 0*t. Differentiate o(c) wrt c.
8
Let s be (3 + (2/2 - 3))*1. Let n(o) = o**3 - 1. Let t(h) = 31*h**3 - 10*h + 1. Let l(v) = s*t(v) + n(v). What is the second derivative of l(i) wrt i?
192*i
Let c(o) be the second derivative of -12*o + 0 + 0*o**2 - 1/10*o**5 - 8/3*o**3 + 0*o**4. Find the second derivative of c(a) wrt a.
-12*a
Let u(h) = -h. Suppose -3*r = r - 16. Let g(d) = -2*d**3 - 2*d - 8. Let a(l) = r*u(l) - 2*g(l). What is the first derivative of a(c) wrt c?
12*c**2
What is the second derivative of 3*r**5 + 2*r + 54 - 24*r**5 - r - 74*r**5 wrt r?
-1900*r**3
Suppose o + 2 = 4. Suppose -o*f + 3*r = 6, -3*f + 0*r - 7 = -4*r. What is the second derivative of -q + 2*q**f - 7*q + 18*q wrt q?
12*q
Let w(z) be the second derivative of 0*z**3 - 1/12*z**4 + 0 - 6*z**2 + 12*z. What is the derivative of w(p) wrt p?
-2*p
Let f(b) = b + 64 - 64 - b**2. Let w = -1 - 5. Let z(q) = 2*q**2 + 6*q + 5. Let v(t) = w*f(t) + z(t). What is the derivative of v(y) wrt y?
16*y
Let m(d) = -153*d**2 - 76*d - 3. Let r(g) = -5*g**2 - g + 1. Let t(v) = -m(v) - 3*r(v). Find the second derivative of t(q) wrt q.
336
Let i(q) be the second derivative of 409*q**8/28 - 113*q**4/2 - 312*q. Find the third derivative of i(w) wrt w.
98160*w**3
What is the third derivative of -39*g**3 + 18*g**3 + 18*g**3 + 43*g**6 - 140*g**2 wrt g?
5160*g**3 - 18
Let u(j) = j**2 - 4*j + 3. Let t be u(3). Let s(q) be the first derivative of 3*q - q**3 - 3 + 0*q**3 + t. What is the first derivative of s(w) wrt w?
-6*w
Let p(h) be the third derivative of 217*h**6/30 - 163*h**5/12 + 342*h**2. Find the third derivative of p(c) wrt c.
5208
Suppose -8*m + 154 = 6*m. Find the second derivative of -16*z**2 + 6*z + 17*z + m*z**2 wrt z.
-10
Suppose -5*v - 1 - 24 = 0. Let c be (3/v)/(1/(-85)). What is the second derivative of 5*a**2 - 31*a - 24*a + c*a wrt a?
10
Let z(d) be the second derivative of -7*d**6/10 + 4*d**4 + 105*d. What is the third derivative of z(f) wrt f?
-504*f
Let b(t) be the second derivative of t**7/42 + t**4/4 + t**3/3 - 8*t**2 - 185*t. Find the second derivative of b(y) wrt y.
20*y**3 + 6
What is the third derivative of 2*c**4 + 43*c**3 + 229*c**2 + 2085 - 2085 wrt c?
48*c + 258
Let g(i) = -460*i**5 + 2*i**3 + 7*i**2 + 83*i - 2. Let f(t) = -t**3 - t**2 - 2*t + 1. Let l(y) = -2*f(y) - g(y). What is the third derivative of l(o) wrt o?
27600*o**2
What is the first derivative of -22 - 6*p + 248*p**3 + 6*p - 200 - 41 wrt p?
744*p**2
Let c(i) = -40*i**3 + 2*i - 198. Let p(o) = -39*o**3 + 2*o - 197. Let m(j) = 3*c(j) - 2*p(j). What is the second derivative of m(v) wrt v?
-252*v
Let n(h) be the third derivative of -h**5/10 - 17*h**4/8 - h**3/3 + 105*h**2. Find the second derivative of n(s) wrt s.
-12
Find the second derivative of -167*v + 0*v**2 - 178*v - 7*v**5 - 2*v**2 + 76*v**5 + 0*v**2 wrt v.
1380*v**3 - 4
Let m(c) = 6*c**3 - 3*c**2 - 5*c. Let w(q) = 5*q**3 + 10 - 3*q**2 + q**2 - 10 - 6*q. Let j(g) = 2*m(g) - 3*w(g). Find the second derivative of j(p) wrt p.
-18*p
Let d = 13 - 7. Let c be -2*2 - (-14 + -2). Find the third derivative of -6*k - 5*k**6 - k**2 + c*k**d + 6*k wrt k.
840*k**3
Let b(x) be the first derivative of -7/3*x**6 + 0*x**4 - 9/2*x**2 + 0*x + 0*x**5 + 0*x**3 - 8. Find the second derivative of b(i) wrt i.
-280*i**3
Differentiate -201*y + 7 - 99 - 237*y + 183*y with respect to y.
-255
What is the third derivative of 7*y - 4*y**2 - 19*y**3 + 6*y**2 + 117*y**3 wrt y?
588
Let n(j) be the second derivative of 0*j**2 + 0*j**3 + 1/4*j**5 - 19*j - 5/12*j**4 + 0. What is the third derivative of n(z) wrt z?
30
Let p(z) = -50*z**2 - 30*z. Suppose 16 = -19*r + 11*r. Let g(i) = -25*i**2 - 15*i. Let y(m) = r*p(m) + 5*g(m). Find the second derivative of y(k) wrt k.
-50
Let g = 14 - -3. What is the first derivative of 23*p - 23*p + g + 8*p**3 wrt p?
24*p**2
Let r(l) = 91*l**3 - l**2 + 63*l - 3. Let v(a) = 180*a**3 - a**2 + 127*a - 5. Let i(x) = -5*r(x) + 3*v(x). Find the second derivative of i(j) wrt j.
510*j + 4
Let z(f) = 83*f + 58. Let i(t) = 415*t + 291. Let d(b) = -2*i(b) + 11*z(b). What is the first derivative of d(u) wrt u?
83
Let l(m) be the third derivative of 0*m**4 - 11*m**2 + 7/60*m**5 + 11/6*m**3 + 0 + 0*m. Find the first derivative of l(u) wrt u.
14*u
Let h = -8 + 10. Suppose -3*m + h = -2*m. Find the second derivative of -8*u + m*u + 3*u**2 - 2*u**2 wrt u.
2
Let x(f) = -8*f**2 + 13. Suppose -20 = 21*h - 16*h. Let y(g) = 16*g**2 - 24. Let v(b) = h*y(b) - 9*x(b). What is the first derivative of v(n) wrt n?
16*n
Find the third derivative of 84*w**2 + 4*w**4 - 21*w**2 + 3*w**6 + 0*w**6 + 6*w**6 wrt w.
1080*w**3 + 96*w
Let x(t) be the first derivative of -41*t**5/5 + 213*t**2/2 + 97. What is the second derivative of x(v) wrt v?
-492*v**2
Let t(w) be the first derivative of w**3 - 25*w**2 - 287*w + 314. What is the derivative of t(r) wrt r?
6*r - 50
Let q = -85 - -88. Let s(d) be the second derivative of -q*d + 3/2*d**3 + 0 - d**2. What is the derivative of s(i) wrt i?
9
Let j(y) be the third derivative of -403*y**4/24 + 363*y**3/2 + 2*y**2 - 46*y. What is the first derivative of j(c) wrt c?
-403
Let a(i) = 5*i**2 - 11*i - 567. Let j(v) = -2*v**2 + 4*v + 283. Let o(q) = 3*a(q) + 7*j(q). What is the first derivative of o(c) wrt c?
2*c - 5
Let z(v) be the first derivative of 0*v**2 + 25/4*v**4 + 0*v**3 + 17 - 20*v. What is the first derivative of z(s) wrt s?
75*s**2
Let d = 1027/140 + -51/7. Let t(y) be the second derivative of -3/2*y**2 + 0*y**3 - 3*y + 0 + 0*y**4 - d*y**5. Differentiate t(w) with respect to w.
-3*w**2
Let x = 23 + -9. Differentiate x*i**4 + 8 + 4 - 2 with respect to i.
56*i**3
Find the third derivative of 12380 + 3*z**6 - 85*z**2 - 18*z**5 - 12380 wrt z.
360*z**3 - 1080*z**2
Let m(i) be the first derivative of -10*i**6 + 105*i**3 + 430. Find the third derivative of m(a) wrt a.
-3600*a**2
Let m(v) be the first derivative of -3*v**5 - 27*v - 101. What is the derivative of m(j) wrt j?
-60*j**3
Let s = 4 + 2. Let h = s - 2. Find the third derivative of -4*a**2 - 4*a**h + 4*a**4 + 3*a**2 - 2*a**4 wrt a.
-48*a
Suppose 13*q = 14*q - 2. What is the second derivative of -2*z + z**q - 4*z + z + 3*z wrt z?
2
Suppose 13*x - 210 = 89. Differentiate 7*f + 2*f - 9*f + x - 3*f with respect to f.
-3
Let o(i) be the second derivative of -i**4/12 - 13*i**3/6 - 51*i**2/2 - i - 2. What is the derivative of o(n) wrt n?
-2*n - 13
Suppose 5*z + 0*z = -3*z. Let q(p) be the first derivative of 5 - 3/2*p**2 + 3*p**3 + z*p. What is the second derivative of q(d) wrt d?
18
What is the derivative of -47*u**2 + 79 - 13*u + 6*u - 216 - 1 wrt u?
-94*u - 7
Let g(k) be the second derivative of -5*k**7/7 + 112*k**3/3 + k - 63. Find the second derivative of g(l) wrt l.
-600*l**3
Let g be -67*(-4)/(-6)*75/(-50). Find the third derivative of g*n**2 + 74*n**2 - 155*n**2 + 14*n**6 wrt n.
1680*n**3
Let l(u) be the second derivative of -2*u**7/7 - u**5/4 - 377*u**3/6 + 144*u - 3. What is the second derivative of l(c) wrt c?
-240*c**3 - 30*c
Let q(c) = -15*c**3 - 3*c**2 - 9*c. Let t(f) = f**3 - 40*f**2 + 3*f**3 + 41*f**2 + 2*f. Let u(g) = 2*q(g) + 9*t(g). What is the third derivative of u(a) wrt a?
36
Let z(q) = -445*q**3 + 2*q**2 + 7*q + 102. Let b(w) = -w**3 - w**2 - 2*w - 2. Let x(l) = 2*b(l) + z(l). Find the second derivative of x(v) wrt v.
-2682*v
Let v(m) = -165*m**4 + 11*m**3 + 5*m - 52. Let b(w) = 33*w**4 - 2*w**3 - w + 10. Let d(g) = 22*b(g) + 4*v(g). Find the second derivative of d(j) wrt j.
792*j**2
Let k(n) be the first derivative of -11*n**10/2520 - n**6/9 + 2*n**3 - 13. Let t(v) be the third derivative of k(v). What is the third derivative of t(l) wrt l?
-2640*l**3
Suppose 0*d - 5*d = -35. Let q = 21 + -14. Find the third derivative of -d*p**3 + 2*p - 2*p + q*p**2 wrt p.
-42
Let s(q) be the second derivative of -q**8/8 - q**7/3 + q**4/6 + 133*q**2 + 4*q - 5. Find the third derivative of s(b) wrt b.
-840*b**3 - 840*b**2
Let y be ((-9)/(-12))/(1 - (-6)/(-8)). Find the third derivative of -y*g**4 - 6*g**4 - 13*g**2 + g**2 + 4*g**4 wrt g.
-120*g
Let w(m) = 97*m - 27