2
Differentiate -110 + 44 - 143*t**4 + 130*t**4 + 10 - 508*t**4 wrt t.
-2084*t**3
Suppose -4 = -6*f + 5*f. Suppose 0 = -5*w + m + 19 - 1, -3 = -f*w - 3*m. What is the second derivative of -q**3 + w*q**3 - 7*q - q**3 - q wrt q?
6*q
Let p(c) be the first derivative of 7*c**5/10 + c**4/2 - 6*c - 7. Let x(u) be the first derivative of p(u). Find the third derivative of x(i) wrt i.
84
Find the first derivative of 6 + 21*z**3 - 74 + 5*z**3 + 23 wrt z.
78*z**2
Find the second derivative of 3*l - 11*l - 9*l - 181*l**2 + 1 - 6*l - 2 wrt l.
-362
Let a(q) = -3*q**2 - 6*q - 36. Let g(p) = -6*p**2 - 14*p - 73. Let y(v) = 7*a(v) - 4*g(v). Find the first derivative of y(l) wrt l.
6*l + 14
Let c(b) be the second derivative of 4*b**7/21 + 7*b**4/6 + 215*b**3/3 + b**2 + 20*b + 15. What is the second derivative of c(r) wrt r?
160*r**3 + 28
Let t(d) be the third derivative of d**7/168 + d**5/40 + d**4/8 - 3*d**2. Let y(j) be the second derivative of t(j). Differentiate y(g) wrt g.
30*g
Suppose 2*m = 2*i + i - 16, i = 3*m + 17. Find the first derivative of -i + 11*o**2 + 2 - 1 - 3 wrt o.
22*o
Find the second derivative of -15 + 3*x - x**3 + 14 - 9*x + 3*x**3 - x**3 - 181*x**2 wrt x.
6*x - 362
Let y = -23 + 39. Let x = y + -13. Find the second derivative of -2*l + 0 - 3 + 3 - 3*l**x wrt l.
-18*l
Let s(f) be the third derivative of -241*f**4/8 + 23*f**3/6 - 12*f**2 - 5. Differentiate s(j) with respect to j.
-723
Let k(w) be the second derivative of 109*w**7/14 + 46*w**3/3 + w**2 - 109*w. What is the second derivative of k(d) wrt d?
6540*d**3
Suppose -l - 5 + 1 = -q, 20 = -5*l. Find the second derivative of -59*p + q*p**2 - 5*p**2 + 52*p wrt p.
-10
Let o(g) be the first derivative of -31*g**6/3 + 64*g**3/3 - 3*g + 11. Find the third derivative of o(c) wrt c.
-3720*c**2
Let i(p) be the second derivative of -221*p**7/42 - 73*p**3/3 + 9*p - 1. Find the second derivative of i(u) wrt u.
-4420*u**3
Let c(t) = -18*t - 29. Let l(p) = -9*p - 15. Suppose y = 2, -4 = -2*z + 4*y - 2*y. Let x(v) = z*c(v) - 7*l(v). What is the first derivative of x(s) wrt s?
-9
What is the third derivative of 25*w**6 + 0*w**3 + 2*w**4 + 0*w**3 - w**4 + 617*w**2 - 730*w**2 wrt w?
3000*w**3 + 24*w
Let t(g) = g**5 + g**4 - 2*g - 1. Let o(a) = 106*a**5 - 2*a**4 - 117*a + 2. Let m(b) = -2*o(b) - 4*t(b). What is the second derivative of m(p) wrt p?
-4320*p**3
Let k(s) = -s. Let g be k(-4). Find the third derivative of 5*r**g + 15*r**2 - 25*r**4 + 3*r**2 - 3*r**2 wrt r.
-480*r
Let o(y) be the second derivative of -y**7/42 + y**5/20 + y**3/6 + 4*y**2 + 43*y. Find the second derivative of o(b) wrt b.
-20*b**3 + 6*b
Let t(d) = 2*d**4 - 2. Suppose -3*z = -4*z. Let s be 2 - (-3 + 2 + z). Let x(u) = -5*u**4 + 5. Let c(p) = s*x(p) + 7*t(p). Differentiate c(f) with respect to f.
-4*f**3
Let u(d) be the first derivative of d**7/210 + 7*d**5/30 + 6*d**2 + 4. Let o(q) be the second derivative of u(q). Find the third derivative of o(n) wrt n.
24*n
Let i be (-12)/(-8) - 5/(-2). Differentiate 2*j**i - 2 + 6 - 5*j**4 - 7*j**4 wrt j.
-40*j**3
Let r(a) be the first derivative of -238*a**5/5 - 3*a**2/2 - 107*a + 15. What is the second derivative of r(x) wrt x?
-2856*x**2
Let n(r) be the first derivative of 29*r + 27/5*r**5 + 0*r**3 - 3 + 0*r**4 + 0*r**2. Differentiate n(p) wrt p.
108*p**3
Let j(h) = 1 - 15*h + 16*h - 6. Let k(c) = -6. Let d(a) = -4*j(a) + 5*k(a). What is the derivative of d(y) wrt y?
-4
Let b(q) be the second derivative of 0*q**5 + 9*q - 1/10*q**6 - 19/6*q**3 + 0*q**2 + 0*q**4 + 0. What is the second derivative of b(y) wrt y?
-36*y**2
Let i be (-2)/(-12) + (-174)/(-36). Find the third derivative of -4*a**i - 10*a**5 - 10*a**2 - 3*a**2 wrt a.
-840*a**2
Let k(g) be the second derivative of 269*g**5/20 + g**4/6 + 122*g**3/3 - 5*g + 34. What is the third derivative of k(f) wrt f?
1614
Let t(n) be the second derivative of -n**7/21 + 9*n**5/5 + n**3/6 - 3*n**2/2 - 82*n. What is the second derivative of t(u) wrt u?
-40*u**3 + 216*u
Let g(p) be the second derivative of p**7/35 + 2*p**3 + 15*p**2/2 + 8*p. Let d(m) be the first derivative of g(m). What is the derivative of d(v) wrt v?
24*v**3
Let q be ((-209)/76)/((-2)/8). Find the third derivative of -23*j**2 - 467 + q*j**5 + 467 wrt j.
660*j**2
Let a = 13 - 10. Suppose 2*l - 8 = k, 0 = -a*l + 5*k - k + 2. Find the first derivative of l*c + 7*c + 3 - 6 - 2 wrt c.
13
What is the first derivative of 256*x**3 - 16*x**2 - 128*x**3 - 257 - 125*x**3 + 2*x**2 wrt x?
9*x**2 - 28*x
Let u(n) be the second derivative of -145*n**4/6 - n**3/2 - 3*n**2/2 + 2*n - 15. Find the second derivative of u(g) wrt g.
-580
Let s(n) = -39*n**2 - 38*n - 17. Let q(y) = 4*y**2 - 22*y**2 - 6 + 5*y**2 - 13*y. Let f(i) = 17*q(i) - 6*s(i). Find the second derivative of f(x) wrt x.
26
Let q(f) be the first derivative of 0*f**2 + 12 + 0*f + 2*f**3 + 0*f**4 - 12/5*f**5. What is the third derivative of q(z) wrt z?
-288*z
Let x(f) = -271*f**4 - 8*f**3 + 8*f + 690. Let v(h) = 181*h**4 + 5*h**3 - 5*h - 460. Let i(k) = 8*v(k) + 5*x(k). Differentiate i(t) wrt t.
372*t**3
Let f(i) = -i**4 - 2*i**3 - i**2 + 1. Let c(g) = 120*g**4 - 20*g**3 - 10*g**2 - 54. Let j(h) = -c(h) + 10*f(h). Differentiate j(m) wrt m.
-520*m**3
Let l(z) be the third derivative of z**7/105 - 4*z**6/3 + z**5/60 - 22*z**3/3 - 4*z**2 + 2. Find the third derivative of l(a) wrt a.
48*a - 960
Suppose -3*k + 10 = -m - 0*m, 4*m + 12 = -2*k. What is the derivative of -34*u**k + 34*u**2 + 11 + 11*u**3 + u**3 wrt u?
36*u**2
Let f(m) be the third derivative of 9*m**2 + 0 + 0*m**4 - 1/60*m**5 + 0*m**6 + 0*m - 5/112*m**8 + 0*m**7 + 0*m**3. What is the third derivative of f(j) wrt j?
-900*j**2
Let s(b) = b**4 + b**2. Let r(k) = -177*k**5 + 3*k**4 + 3*k**2 + 145*k. Let v(l) = -r(l) + 3*s(l). What is the second derivative of v(u) wrt u?
3540*u**3
Let p(i) = i**2 + 2*i + 3. Let g be p(3). Let u = g - 15. What is the third derivative of -4*h**6 - 80*h**3 + 80*h**u - 4*h**2 wrt h?
-480*h**3
Let n(m) be the first derivative of -81*m**2 - 159*m - 160. What is the derivative of n(a) wrt a?
-162
Let z(d) be the third derivative of -d**7/105 + d**6/24 + 7*d**5/15 - 62*d**2. Find the third derivative of z(q) wrt q.
-48*q + 30
Let z(m) = 9*m**3 + 5*m + 14. Let i(n) = -n**3 - n. Suppose 0 = 2*c - 2 - 0. Let j(y) = c*z(y) + 5*i(y). Find the first derivative of j(p) wrt p.
12*p**2
What is the second derivative of 0 + 707*g**2 - 687*g**2 - g + 6 wrt g?
40
Suppose 0 = j - 0*j. Suppose -5*q + 16 = -3*t, 4*q + 5*t + 2 = -j. Differentiate 9 + 4*i**2 - 4*i**q + 8*i**2 with respect to i.
16*i
Let d be (26/65)/((-1)/(-10)). Suppose d*c + 2*x - 3*x = 37, -c - 4*x = 12. Find the third derivative of -5*p**4 - 8*p**3 - 3*p**2 + 8*p**3 + c*p**2 wrt p.
-120*p
Suppose 17*m - 11*m - 24 = 0. Find the third derivative of 30*c**m - 29*c**2 + 3899*c - 3899*c wrt c.
720*c
What is the second derivative of -2*b**4 + 19*b + 7*b**2 - 2*b**4 + 52*b**2 + 5*b**4 wrt b?
12*b**2 + 118
Suppose 5*j + 5 = 15. Differentiate 3 + 9*x**2 + 2*x**2 + 7*x**4 - 11*x**j wrt x.
28*x**3
Let c be (-1 + -3)*(18/8)/(-3). Differentiate -2*p - p - c*p + 7 + 4*p wrt p.
-2
Let t(z) be the second derivative of 0 + 0*z**2 - 5/4*z**4 + 16*z + 7/6*z**3. Find the second derivative of t(l) wrt l.
-30
Suppose 5*z + 41 = 106. Let t = -11 + z. Find the first derivative of -12 + 6*p**t - 2*p**2 + 17 wrt p.
8*p
Let f(w) = 121*w**3 + 57*w**2 + 8. Let l(i) = 1. Let n(a) = f(a) - 6*l(a). Find the third derivative of n(t) wrt t.
726
Let u be (-4)/(16/(-3))*4. Find the second derivative of -5*v + 9*v + 4*v + 3*v - u*v**2 wrt v.
-6
Let s(u) = -u + u**3 + u**3 - 2*u**3 - u**3 - 1. Let a(t) = 8*t**3 - 28*t**2 + 3*t + 3. Let k(z) = -a(z) - 3*s(z). What is the third derivative of k(l) wrt l?
-30
Let b(l) be the third derivative of 31*l**7/35 - l**4/24 + 551*l**3/6 + 472*l**2. What is the second derivative of b(d) wrt d?
2232*d**2
Let s(i) be the second derivative of 26*i + 7*i**2 + 13/6*i**3 + 0. What is the first derivative of s(d) wrt d?
13
Let v(s) be the second derivative of -17*s**6/10 + s**3/3 + 10*s**2 - 2*s - 40. Find the second derivative of v(j) wrt j.
-612*j**2
Let l(g) = 4*g**2. Suppose -6 = -2*h + 4*m, -7 = 5*h - 4*h + 3*m. Let j be l(h). Find the third derivative of 12*u**3 - 13*u**3 + j*u**2 + u**2 wrt u.
-6
Find t