p**3 wrt p.
80*p**3 + 6*p
Find the first derivative of -f - 227 + f + 34 + 306*f**4 - 6*f**4 wrt f.
1200*f**3
Let b be 3 + 5 + 3 + -6. Let s = b - 3. What is the second derivative of -2*w + 6*w + s*w**2 - 2*w**2 + 5*w**2 wrt w?
10
Suppose 61 = 6*g + 31. Let u(h) be the second derivative of -g*h - h**2 + 1/3*h**3 + 0. What is the derivative of u(k) wrt k?
2
Let j(i) be the first derivative of i**6/12 - 13*i**4/24 + 8*i**2 + 3. Let u(s) be the second derivative of j(s). Find the second derivative of u(v) wrt v.
60*v
Differentiate -9*o + 50 + 7*o - 6*o - 12*o with respect to o.
-20
Let n(g) = -2*g - 2. Let f be n(-2). What is the second derivative of -2*q**2 + 14*q - f*q**2 + 5*q**2 + 0*q**2 wrt q?
2
What is the third derivative of 10*q**6 - 53*q**6 - 8*q**2 + 3*q**6 - 39*q**6 wrt q?
-9480*q**3
Let x(l) = 4*l**3 + 7*l - 8*l - 3*l**3 + 2*l**2. Let n be x(1). What is the first derivative of h**n + 5 + 5*h**2 + 2*h - 2*h wrt h?
12*h
Let m(u) be the third derivative of 0*u**6 + 0*u**3 + 0 + 0*u**4 - 19*u**2 - 5/112*u**8 - 2/15*u**5 + 0*u + 0*u**7. Find the third derivative of m(d) wrt d.
-900*d**2
Differentiate -470*t - 245*t**4 + 933*t - 463*t + 365 with respect to t.
-980*t**3
Suppose -2*b - 3 = -4*a - 21, -5*b = -4*a - 45. Find the third derivative of -b*t**3 + 14*t**2 - 240*t + 240*t wrt t.
-54
Suppose 5*d + 4*t = 61, -4*d + 5*t = 4*t - 32. Differentiate -28*f**2 - d - 530*f + 1055*f - 527*f with respect to f.
-56*f - 2
Let r(a) = 89*a**2 + 13*a + 2. Let o(s) = 177*s**2 + 24*s + 4. Let q(v) = 2*o(v) - 5*r(v). Find the second derivative of q(u) wrt u.
-182
Let n(l) be the first derivative of -2*l + 3 + 3 + 3*l**4 - l**4 - 3*l. What is the first derivative of n(o) wrt o?
24*o**2
Suppose 5*n - 8 = n. Find the second derivative of -3*y**2 + 0*y - 8*y + y**n + 0*y wrt y.
-4
Suppose m + 5*m = 0. Let c(l) be the second derivative of 0*l**2 + m + 0*l**5 + l - 1/30*l**6 + 0*l**3 + 2/3*l**4. Find the third derivative of c(t) wrt t.
-24*t
Let i(x) be the third derivative of -3*x**8/28 + 97*x**5/30 + 280*x**2. What is the third derivative of i(t) wrt t?
-2160*t**2
Let u(c) = 430*c**3 - 3*c**2 + 5*c + 104. Let d(q) = 430*q**3 - 2*q**2 + 3*q + 107. Let r(l) = 3*d(l) - 2*u(l). Find the second derivative of r(y) wrt y.
2580*y
Let s(p) be the first derivative of p**2/2 - p + 24. Let q(c) = -2*c**2 + 18*c - 20. Let y(o) = -2*q(o) + 36*s(o). Differentiate y(n) wrt n.
8*n
Suppose 510 = -6*t + t. Let c be (-2)/3 - t/18. Find the third derivative of 3*s**2 + c*s**3 - 4*s**2 + 3*s**3 - 15*s**3 wrt s.
-42
Suppose -24*i + 23*i = -4. Differentiate 18*o**i + 11 + 5 - 30 wrt o.
72*o**3
Let p = 18 + -16. Find the second derivative of -5*s**3 - 2*s**3 + 11*s - 2*s**3 + p*s**3 wrt s.
-42*s
Let v = -31 + 32. Let l be -4 + 3 + 4/v. Differentiate 1 + 12*n**l - 3*n**4 - 12*n**3 wrt n.
-12*n**3
Let b(g) be the first derivative of -21*g**4/4 + 92*g**3/3 - 150. Find the third derivative of b(s) wrt s.
-126
What is the second derivative of -447*s**2 - 255*s + 447*s**2 + 182*s**3 - 111*s**3 wrt s?
426*s
What is the derivative of 3*m**2 - 8*m + 14 - 2*m**2 - 76 - 41 wrt m?
2*m - 8
Let t(c) be the second derivative of 13/20*c**5 + 0*c**2 - 1/3*c**3 + 18*c + 0 + 0*c**4. What is the second derivative of t(w) wrt w?
78*w
Let s(m) = -50*m - 35. Let a(b) = -301*b - 207. Let w(z) = -6*a(z) + 39*s(z). What is the first derivative of w(n) wrt n?
-144
Find the third derivative of 23*d**2 + 38*d**2 - 4*d**4 + 27*d**4 - 14*d**4 wrt d.
216*d
Find the second derivative of 10 + 3 - 11*q + q + q + 14*q**4 + q**2 + 4 wrt q.
168*q**2 + 2
Let q(f) = -20*f**6 - f**3 - 24*f**2 - 3. Let y(h) = -19*h**6 - 24*h**2 - 2. Let u(j) = -2*q(j) + 3*y(j). Find the third derivative of u(p) wrt p.
-2040*p**3 + 12
Suppose 3*n = 5*a - 1 - 9, 0 = -4*n. Let m(u) be the first derivative of -4*u + 1/3*u**3 + a + 0*u**2. Differentiate m(v) with respect to v.
2*v
Find the third derivative of -21*d - 683*d**2 + 678*d**2 + 64*d**4 + 2*d**5 - 15*d wrt d.
120*d**2 + 1536*d
What is the second derivative of -15*t**2 - t + 0*t - t**3 + 7 + 4*t**3 - t**3 + 31*t wrt t?
12*t - 30
Let k(m) = -23*m - 22. Let r be k(-3). Differentiate 6 + 3 - 35*u**2 - r with respect to u.
-70*u
Suppose w = -5 + 12. What is the first derivative of -3 - 1 - 1 + w*r**2 wrt r?
14*r
Let u(r) be the first derivative of -r**6/5 - 3*r**3 + 14*r - 19. Let k(x) be the first derivative of u(x). Find the second derivative of k(v) wrt v.
-72*v**2
Let y(i) = -214*i**2 + 6*i - 94. Let z(m) = m + 3. Let o(q) = y(q) - 4*z(q). What is the derivative of o(l) wrt l?
-428*l + 2
Let u(m) be the second derivative of -m**6/10 - 64*m**5/5 + 497*m**3/3 + 684*m. What is the second derivative of u(f) wrt f?
-36*f**2 - 1536*f
Find the third derivative of 374*r**6 + 40*r**6 + 204*r**2 + 38*r**6 + 371*r**2 wrt r.
54240*r**3
Let q = 180 + -176. Let c(m) be the first derivative of -5 + 0*m**3 + 0*m**2 + m + 0*m**q - 1/5*m**5. Differentiate c(n) wrt n.
-4*n**3
Let k(f) = -49*f**4 + 18*f**3 + 18*f**2 - 813. Let w(l) = -25*l**4 + 8*l**3 + 8*l**2 - 405. Let r(x) = -4*k(x) + 9*w(x). Differentiate r(y) with respect to y.
-116*y**3
Suppose 0 = 10*h - 23 - 7. Find the second derivative of 14*j**3 + j**h - 97*j + 108*j wrt j.
90*j
Find the third derivative of -7*n**2 - 7*n**4 - 41*n**5 + 3*n**2 + n + 8*n**4 wrt n.
-2460*n**2 + 24*n
Let j(q) be the third derivative of -213*q**7/70 + 859*q**3/6 - 853*q**2. What is the derivative of j(u) wrt u?
-2556*u**3
Suppose 2*t + 0*s = 2*s + 10, -36 = -4*t - 4*s. What is the second derivative of 2*u**2 - 13*u + t*u**3 - 2*u**2 + 0*u wrt u?
42*u
Let w = 20 + -28. Let s be w*((-5)/4 - -1). Differentiate -4 + 5*l**2 - 4*l**2 + 2*l**s wrt l.
6*l
Let k(u) = u**4 + u**2 + u. Let m = -36 + 18. Let o(g) = 14*g**4 + 12*g**2 + 9*g. Let p(q) = m*k(q) + 2*o(q). What is the third derivative of p(a) wrt a?
240*a
Let r(p) = 2*p**2 - p + 1. Let w(a) = 114*a**2 - 99*a - 2. Let x(z) = 4*r(z) + 2*w(z). What is the second derivative of x(s) wrt s?
472
Let i(w) be the third derivative of 0*w**4 + 53/6*w**3 - 8*w**2 + 0 + 19/20*w**5 - w. Find the first derivative of i(p) wrt p.
114*p
Let z be (-1)/(-4) + ((-33)/12)/(-1). Find the third derivative of -27*s**z + 25*s + 7*s**2 - 25*s - 21*s**2 wrt s.
-162
Find the second derivative of -5288*a + 4346*a - 36*a**3 - 638*a**3 wrt a.
-4044*a
What is the third derivative of 195*f**4 - 159*f**4 + 170*f**2 + 180*f**2 + 357*f**4 wrt f?
9432*f
Find the second derivative of 2 - 49*i + 6*i + 132563*i**4 - 132347*i**4 wrt i.
2592*i**2
Let w be ((-42)/(-5))/((-6)/75). Let f be 7/(w/6)*-15. Differentiate -3 - 5 + f + 3*m with respect to m.
3
Let d = -14 + 18. Suppose 0 = 4*f - 6*f + d. Find the first derivative of -3 + 6*g**2 + f - g**2 wrt g.
10*g
Let j(r) be the first derivative of -22*r**3/3 - 32*r**2 + r - 59. What is the second derivative of j(q) wrt q?
-44
Let u(w) = -4*w**3 - 2*w + 6. Let b(l) = -l**3 - l**2 + 2. Let r(i) = 6*b(i) - u(i). Find the second derivative of r(m) wrt m.
-12*m - 12
Let t(r) be the second derivative of 25/12*r**4 + 0*r**6 + 5/21*r**7 + 0*r**2 + 0*r**3 + 0 - 7*r + 0*r**5. What is the third derivative of t(l) wrt l?
600*l**2
Let i = -2 - -6. Let n be i/4 - 0 - -36. Find the third derivative of -2*t**2 + 4*t**2 - n*t**3 + 42*t**3 wrt t.
30
Let w(y) = -y**3 + 15*y**2 - 14*y + 14. Let o be w(14). Suppose 0*z - o = -2*z. What is the second derivative of -2*r + 3*r + 2*r + z*r - 12*r**5 wrt r?
-240*r**3
Let o = -38 - -45. What is the third derivative of h**3 - 7*h**2 - o*h**3 - 6*h**2 + 3*h**3 wrt h?
-18
Let w(r) = -3*r**4 + 3*r + 12. Let p(q) = q**4. Let b(x) = 3*p(x) - w(x). Differentiate b(c) with respect to c.
24*c**3 - 3
Find the first derivative of 86 + 62 + 26 + 49*q**4 + 87*q**4 wrt q.
544*q**3
Let f(b) = -2*b + 54. Let j be f(20). What is the third derivative of 18*u**6 + 11*u + 19*u**2 - j*u + 3*u wrt u?
2160*u**3
Let q(g) be the second derivative of g**8/120 + 7*g**6/180 - 2*g**3 + 13*g. Let m(a) be the second derivative of q(a). Find the third derivative of m(c) wrt c.
336*c
Let h(f) = 10*f**5 + 52*f**4 - 9*f**2 - 91. Let g(c) = -8*c**5 - 53*c**4 + 8*c**2 + 93. Let r(a) = 6*g(a) + 5*h(a). Find the third derivative of r(p) wrt p.
120*p**2 - 1392*p
Let q(a) be the second derivative of 17*a**7/2 - 296*a**3/3 + 2