?
-1680*h**2
Let y(g) be the third derivative of -107*g**4/24 + 15*g**3 + 128*g**2. Find the first derivative of y(r) wrt r.
-107
Let o(x) be the second derivative of 47*x**6/30 - x**4/12 + 2*x**2 + 35*x. What is the derivative of o(n) wrt n?
188*n**3 - 2*n
Find the third derivative of -n + 31*n**5 - 3738*n**2 - n + 3735*n**2 wrt n.
1860*n**2
Let k = 1 + 0. Let q(t) = 199 + t - 83 - 116. Let j(r) = 5*r**3 - 3*r + 6. Let g(m) = k*j(m) + 3*q(m). What is the derivative of g(l) wrt l?
15*l**2
Let x(l) be the second derivative of -4*l**2 + 0*l**4 + 0 + 3/5*l**5 + 3*l + 0*l**3. What is the first derivative of x(s) wrt s?
36*s**2
Let o(u) be the third derivative of u**2 + 11/6*u**3 - 1/2*u**4 + 0*u + 0. Find the first derivative of o(v) wrt v.
-12
Let h(b) be the first derivative of 4*b**7/7 + 5*b**5 - 151*b**3/3 - 207. What is the third derivative of h(n) wrt n?
480*n**3 + 600*n
Let a(d) = -d**2 - 17*d - 15. Let t be a(-15). Find the second derivative of k + 11*k + 2*k**3 + t*k**3 wrt k.
102*k
Let y(v) be the first derivative of v**2 + 0*v**5 - 8/3*v**6 + 14 + 0*v + 0*v**4 + 0*v**3. Find the second derivative of y(g) wrt g.
-320*g**3
Let i(v) be the third derivative of -73*v**7/210 + v**6/120 - 85*v**4/24 - v**3/3 + 162*v**2. What is the second derivative of i(o) wrt o?
-876*o**2 + 6*o
Let c = -338 + 340. Let z(w) be the first derivative of -13 + 13/2*w**c - 13/3*w**3 + 0*w. What is the second derivative of z(y) wrt y?
-26
Let v(f) = 4*f + 9 - f**2 - 4*f**2 - 7*f. Let u(o) = 6*o**2 + 2*o - 10. Let h(y) = -6*u(y) - 4*v(y). Differentiate h(c) wrt c.
-32*c
Suppose 3*t = -9, 5*b + 0*t - t = 58. What is the derivative of -13 - 15 + b*k**2 - 5 wrt k?
22*k
Let p(g) be the first derivative of -35/2*g**2 - 17 + 20/3*g**3 + 0*g. Find the second derivative of p(f) wrt f.
40
Let v = -445 - -2231/5. Let y(i) be the first derivative of 0*i**2 + 0*i**3 + v*i**5 + 7*i + 0*i**4 - 2. Differentiate y(k) wrt k.
24*k**3
Let o(f) be the second derivative of 20*f**7/3 + 23*f**3/6 - 7*f**2/2 - 16*f - 2. Find the second derivative of o(n) wrt n.
5600*n**3
Suppose -5*w + 71 + 4 = 0. Find the third derivative of -12*j**2 + 25*j**2 + w*j**5 - 8*j**2 wrt j.
900*j**2
Let n(w) = w**3 + 3*w**2 + w + 6. Let r be n(-3). Differentiate 313*x**3 - 359*x**3 - 6 + 3*x**2 - r*x**2 wrt x.
-138*x**2
Let p(y) = -y**3 + y**2 + y + 1. Let w be p(2). Let a be 12/4 - (w - 2). What is the third derivative of -2*u**5 - 3*u**5 + a*u**5 - 4*u**2 wrt u?
60*u**2
Let l = 31 - 25. What is the second derivative of l*z + 15*z**4 - 5*z**3 + 7*z + 5*z**3 wrt z?
180*z**2
Let x(g) be the third derivative of 1/112*g**8 + 0*g**4 + 6*g**2 + 7/30*g**5 + 0*g**6 + 0 + 0*g**7 + 0*g + 0*g**3. What is the third derivative of x(p) wrt p?
180*p**2
Let d(t) = t**2 + 3*t - 6. Let x be d(-5). What is the third derivative of 16*k**6 + 6*k**2 + 2*k**6 - x*k**6 wrt k?
1680*k**3
Let k(w) be the second derivative of 0*w**3 + 0*w**4 + 13/30*w**6 - 9*w - 1/2*w**2 + 0*w**5 + 0. Differentiate k(y) with respect to y.
52*y**3
Suppose 5*h - i = 11, 8 = -5*h + 2*i + 20. Find the third derivative of -8*q**2 + 15*q**2 + 3*q**6 - 8*q**h wrt q.
360*q**3
Let k be (16/12)/((-4)/(-6)). Find the third derivative of 4*v**k - 7*v**2 + 2*v**5 + 0*v**2 wrt v.
120*v**2
Let f(y) = -y**3 + 2*y**2 + 3*y + 3. Let o be f(3). Let c be (-3)/o*-3 + -1. Differentiate -8*v**3 + 11*v**2 - 11*v**2 - c with respect to v.
-24*v**2
Let c(a) = a**2. Let y(k) = -74*k**3 + 47*k**2. Let l(p) = 6*c(p) + y(p). Find the third derivative of l(n) wrt n.
-444
Differentiate -8 - 3*d**3 - 38 + 8*d**3 - 14 with respect to d.
15*d**2
Let b = -134 - -138. Let n = -3 + 6. What is the derivative of 5 - 2*m**n + 5 + b*m**3 - 3 wrt m?
6*m**2
Let j be (-1)/((-14)/(-4) + -3). Let k = 4 + j. Differentiate h**k + 2 - 8 + 12 + 4*h**2 with respect to h.
10*h
What is the third derivative of 2*f**2 + 40*f**2 + 3*f**6 + f**4 + 41*f**3 + 19*f**2 - f**4 wrt f?
360*f**3 + 246
Let s(j) be the first derivative of 0*j + 18 + 0*j**6 + 0*j**5 - 7/3*j**3 + 2/7*j**7 + 0*j**4 + 0*j**2. What is the third derivative of s(o) wrt o?
240*o**3
Let t = -4 + 10. Suppose -4*l + j + t = -j, -4*j = 4*l. What is the first derivative of 11*h**3 + l + 46*h - 46*h wrt h?
33*h**2
Find the third derivative of -15*t**2 + 172*t**2 - 262*t**6 + 50*t**6 + 94*t**2 wrt t.
-25440*t**3
Let a(d) be the first derivative of 24*d**7/7 + d**6/3 + 10*d**3/3 + 109. What is the third derivative of a(i) wrt i?
2880*i**3 + 120*i**2
Differentiate -12*t**3 - 154 + 19*t**3 - 9*t**3 - 49*t**4 - 4*t**4 with respect to t.
-212*t**3 - 6*t**2
Let l = 10 + -23. Let d = -12 - l. Let h(i) = 3*i + 2. Let y(q) = -q. Let p(z) = d*h(z) + y(z). Differentiate p(n) wrt n.
2
Let v(k) be the second derivative of 0*k**3 + 0 - 11/12*k**4 - 2*k**2 + 13*k. What is the derivative of v(i) wrt i?
-22*i
Let m(y) be the second derivative of 0*y**4 + 0*y**5 + 0*y**3 - 3*y - 1 + 3/2*y**2 - 53/30*y**6. Find the first derivative of m(p) wrt p.
-212*p**3
Suppose 4*o = 6 + 2. What is the second derivative of 6*k - k - 10*k**o + 5*k wrt k?
-20
Let a(q) be the third derivative of -q**7/70 + q**6/5 + 17*q**5/10 - 214*q**2. What is the third derivative of a(y) wrt y?
-72*y + 144
Let i = -402 - -842. Differentiate -440*m - 8*m**2 - 11 + i*m wrt m.
-16*m
Let u(k) = 2*k - 21. Let g(o) be the first derivative of -2 + 10*o - 1/2*o**2. Let j(f) = 9*g(f) + 4*u(f). Find the first derivative of j(n) wrt n.
-1
Let d(y) = 3*y - 2. Let b be d(-4). Let h = -12 - b. Differentiate -7 - 5 + h*q**4 + 7 wrt q.
8*q**3
Find the third derivative of -85*s**2 + 186*s**3 - 21*s**2 - 20*s**2 wrt s.
1116
Suppose -8*a + 780 = 764. Let z(m) be the third derivative of -5*m**a + 0*m**5 + 0 + 0*m - 1/6*m**3 + 0*m**4 + 3/40*m**6. Differentiate z(q) wrt q.
27*q**2
What is the first derivative of -94*g**2 + 38*g**2 + 21*g + g**4 + 208 - 21*g wrt g?
4*g**3 - 112*g
Let f(q) = q**2 - 4*q - 3. Let a be f(4). Let r be a/(3 - 2) - -5. Find the second derivative of o**r - 5*o**2 + 6*o**2 + 5*o wrt o.
4
Let a(m) = -18*m**4 - 12*m**2 + 2*m - 6. Let l(s) = -34*s**4 - 25*s**2 + 5*s - 11. Let u(t) = 5*a(t) - 2*l(t). Find the third derivative of u(z) wrt z.
-528*z
Suppose 4*y + 3 - 10 = 3*g, g + 2*y = 11. Let s(o) = 38*o**2 - 3*o - 1. Let x(p) = -114*p**2 + 8*p + 2. Let h(z) = g*x(z) + 8*s(z). Differentiate h(n) wrt n.
-76*n
Let p = 175 - 697/4. Let n(l) be the first derivative of -1/2*l**2 + 0*l + 6 - p*l**4 + 0*l**3. What is the second derivative of n(a) wrt a?
-18*a
Let o(z) = -179*z**3 - 11*z**2 + 65*z - 7. Let r(s) = 89*s**3 + 6*s**2 - 34*s + 4. Let t(p) = -6*o(p) - 11*r(p). Find the second derivative of t(h) wrt h.
570*h
Let s(g) be the first derivative of 42*g**5/5 + 2*g**3/3 - 343*g**2 + 725. What is the second derivative of s(h) wrt h?
504*h**2 + 4
Let n(y) = -325*y**2 + 307*y + 12. Let s(w) = 326*w**2 - 304*w - 10. Let f(t) = -5*n(t) - 6*s(t). Find the second derivative of f(l) wrt l.
-662
Suppose 14*m + 20 = 19*m. Suppose m*b = 11 + 1. Find the first derivative of 5*r**4 + 3 - 2 + r**4 - b wrt r.
24*r**3
Suppose 8 + 13 = w. What is the second derivative of 13*u - 3*u**2 - 6*u + w*u**2 wrt u?
36
Find the second derivative of -k**3 - 18*k**2 + 24*k - 9*k - 2*k + 0*k wrt k.
-6*k - 36
Differentiate -110 + 41 - 63*v - 48*v**2 + 63*v wrt v.
-96*v
What is the third derivative of -187*y**6 - 9288*y**4 + 9288*y**4 - 96*y**2 wrt y?
-22440*y**3
Let c(w) = -75*w**2 - 19*w - 473. Let t(x) = x**2 - 3*x + 1. Let d(r) = c(r) - 5*t(r). Differentiate d(z) with respect to z.
-160*z - 4
Let a be (-42)/3*12/(-21). Differentiate -7 + 10*l - a + 20 - 11 wrt l.
10
Let q(j) be the first derivative of -12*j - 27 - 9/2*j**2. What is the first derivative of q(b) wrt b?
-9
Differentiate -v**4 - 6 + 16 + 2*v**3 - 10*v**3 wrt v.
-4*v**3 - 24*v**2
Let p = 12 - -11. Suppose 5*d = y + p, -2*y + 4*d = -4*y + 24. What is the third derivative of w**2 - 4*w**6 - w**2 + y*w**6 - 6*w**2 wrt w?
-240*w**3
Let l be 1/(-2)*((-7)/7 - 0). Let v(b) be the second derivative of 0 - l*b**2 + 0*b**3 - 2*b + 1/5*b**5 + 0*b**4. What is the first derivative of v(a) wrt a?
12*a**2
Let k = 6 + -2. Differentiate -5 + 4*m**4 - 4*m**4 + 4*m**k with respect to m.
16*m**3
Suppose -2*g - j + 10 = 0, 0*g = 3*g - 4*j + 7. Differentiate 0 + 1 - 3*u**2 - g*u**2 + 5*u**