at is the third derivative of 0*m**5 + s*m**6 + m**6 + 0*m**5 - 2*m**2 wrt m?
360*m**3
What is the second derivative of 10*n + 1 + 262*n**2 - 6 - 216*n**2 wrt n?
92
What is the derivative of 54*l**4 + 1067 - 1382 - 26*l**4 + 33*l**4 wrt l?
244*l**3
Let l = -118 - -121. Let z = 8 - 5. Find the second derivative of -5*k + k + k**l - 5*k**z wrt k.
-24*k
Let n(l) = 100*l - 590. Let m be n(6). Let q(x) be the third derivative of 0*x**4 + 1/20*x**5 - m*x**2 + 0*x + 0 + 2*x**3. What is the derivative of q(p) wrt p?
6*p
Let f(l) = 5. Let k(t) = -947*t**2 - 27. Let c(y) = 2*f(y) - k(y). Differentiate c(j) with respect to j.
1894*j
Let m(w) be the first derivative of 14/3*w**3 - 7 + 0*w**4 + 0*w - 7/5*w**5 + 0*w**2. What is the third derivative of m(a) wrt a?
-168*a
Let y(r) be the third derivative of 0*r**6 + 0*r**5 + 0*r + 4/105*r**7 - 37*r**2 - 7/12*r**4 + 0*r**3 + 0. What is the second derivative of y(b) wrt b?
96*b**2
Let s(u) = 3*u + 1. Let v be s(0). Let t be v*(-10)/(-3 + 1). What is the second derivative of 14*x**4 - t*x**4 - 6*x - 6*x**4 wrt x?
36*x**2
Let z(p) = -326*p**4 + 35*p**2 + 106*p - 8. Let r(q) = 108*q**4 - 12*q**2 - 35*q + 3. Let o(a) = 8*r(a) + 3*z(a). What is the third derivative of o(c) wrt c?
-2736*c
Let v be (2/9)/(10/15*4). Let u(d) be the second derivative of -v*d**4 + 0 - 4*d + 2*d**2 + 0*d**3. Differentiate u(p) wrt p.
-2*p
Let m = 571 + -568. Let f(t) be the first derivative of 0*t**2 - 9*t + 8 + 3/4*t**4 + 0*t**m. What is the derivative of f(h) wrt h?
9*h**2
Suppose 0*v = 2*v + 5*z - 56, -66 = -3*v - 3*z. Suppose -k = 4*k - 150. Differentiate -k*b + v*b - 2*b**3 + 12*b + 4 with respect to b.
-6*b**2
Find the third derivative of -5*a + 0*a**3 + 3*a - 6*a**3 + 0*a**3 - a**4 - 3*a**2 wrt a.
-24*a - 36
Let a(w) = 6*w**2 - 150*w + 84. Let c(n) = -5*n**2 + 147*n - 82. Let d(s) = 6*a(s) + 7*c(s). Find the first derivative of d(l) wrt l.
2*l + 129
Let y(s) be the second derivative of -77*s**4/12 + s**3/6 + 87*s**2 + 30*s. What is the derivative of y(q) wrt q?
-154*q + 1
Find the second derivative of -3*u**4 - 8*u**4 + 157*u + 3*u**4 - 3*u**2 + 134*u + 5*u**2 wrt u.
-96*u**2 + 4
Let y = 222 + -222. Let p(r) be the third derivative of 0*r + r**3 + 12*r**2 + 1/24*r**4 + y. Differentiate p(l) with respect to l.
1
Suppose 4*x + 4 = -4*g, 5*g - 1 = 4*x + 3. Suppose -2*t + 0*t = -10. Find the second derivative of -3*u**5 + g*u + 2*u**t + 5*u**5 + 2*u wrt u.
80*u**3
Suppose 3*z - 3*w - 126 = 0, -8*w - 120 = -3*z - 11*w. What is the second derivative of -z*a**5 - a - 10*a + 20*a**5 wrt a?
-420*a**3
Let z(c) = -134*c**3 + 317*c**2 + 14. Let u(m) = -89*m**3 + 211*m**2 + 10. Let d(g) = 7*u(g) - 5*z(g). Find the third derivative of d(v) wrt v.
282
Let g(u) be the second derivative of -10*u + 0*u**4 + 0*u**2 - 3/2*u**3 - 7/20*u**5 + 0. What is the second derivative of g(l) wrt l?
-42*l
Let v(a) = -a**2 - 10*a - 14. Let m be v(-7). Find the first derivative of -27*l**4 - m - 24*l**2 + 10*l**2 + 14*l**2 wrt l.
-108*l**3
Let r(c) be the second derivative of c**8/56 - 3*c**4/4 + 7*c**2/2 - 6*c. Let u(w) be the first derivative of r(w). Find the second derivative of u(s) wrt s.
120*s**3
What is the second derivative of -3*w + w - 6 - 3 + 1 + 31*w**5 wrt w?
620*w**3
Let k(b) = -81*b**4 - 9*b**3 - 6*b**2 + 11. Let a(i) = 40*i**4 + 4*i**3 + 3*i**2 - 6. Let o(j) = 9*a(j) + 4*k(j). Find the third derivative of o(r) wrt r.
864*r
Find the third derivative of -20*j**5 + 9*j**5 + j**5 - 4*j**6 + 122*j**2 + 14*j**6 wrt j.
1200*j**3 - 600*j**2
What is the third derivative of -16*d**5 + 7*d**3 - 16*d - 493*d**4 + 16*d + 493*d**4 - 1 + 10*d**2 wrt d?
-960*d**2 + 42
Let u(r) = -20*r**2 + 27*r - 3. Suppose -8*k + 3 = -7*k. Let a(q) = q - 1. Let g(t) = k*a(t) - u(t). What is the second derivative of g(y) wrt y?
40
Let p(y) be the first derivative of -11*y**4/24 + y**3/6 - 9*y**2/2 - 5. Let f(h) be the second derivative of p(h). Differentiate f(g) wrt g.
-11
Let d(k) be the third derivative of 0*k**6 - 1/105*k**7 + 0*k + 0*k**3 + 0*k**4 + 1/10*k**5 + 0 + 3*k**2. What is the third derivative of d(j) wrt j?
-48*j
Suppose -4*g = -7*g + 3. Let c be (-26)/(-6) - g/3. Find the third derivative of -u**4 + 2*u**6 + u**c - 5*u**2 wrt u.
240*u**3
Suppose 9*t - 676 = 80. What is the second derivative of n**3 + t*n + 0*n**3 - 10*n**5 - 89*n wrt n?
-200*n**3 + 6*n
Let y(l) = -l + 17. Let t be y(13). Suppose 5*q + 0*q + v = 12, -4*q - 4*v = -16. What is the derivative of q*n - 2 + 3*n + t*n - n wrt n?
8
Let s(i) be the second derivative of -2*i**6/15 + 79*i**5/20 - 176*i**4/3 - 153*i. What is the third derivative of s(h) wrt h?
-96*h + 474
Let u be 6/8 - 104/(-32). Suppose 0 = -u*c + 2*z + 20, 2*c - 2 = -3*z + 8. What is the third derivative of -3*t**4 + 69*t**2 - 64*t**2 - 7*t**c + 3*t**4 wrt t?
-420*t**2
Find the second derivative of -9*v**3 + 12*v + 75*v + 2*v**5 + 3*v wrt v.
40*v**3 - 54*v
Let i be ((-30)/135)/(1/(-9)). Let q(d) be the first derivative of -12*d + 9 + 6*d**i + 8 - 23 + 0*d**2. Differentiate q(s) with respect to s.
12
Let i(a) be the first derivative of -4/5*a**5 - 18 - 15/2*a**2 + 0*a**3 + 0*a + 0*a**4. What is the second derivative of i(y) wrt y?
-48*y**2
Suppose -5 = -x - 2*x + o, -5*x + 3*o + 7 = 0. Find the first derivative of x - 10 - 5*n + 6 wrt n.
-5
Let v(s) be the first derivative of 23/3*s**3 - 11/2*s**2 + 20 + 0*s. What is the second derivative of v(h) wrt h?
46
Let y(k) be the second derivative of -12*k - 5/2*k**2 + 0*k**3 + 0 + 17/12*k**4. Find the first derivative of y(p) wrt p.
34*p
What is the second derivative of -220*x - 3*x**3 - 113553*x**2 + 0 + 0 + 113603*x**2 wrt x?
-18*x + 100
Let q(g) be the first derivative of g**7/7 - 10*g**6 - g**3/3 + 100*g**2 - 481. What is the third derivative of q(x) wrt x?
120*x**3 - 3600*x**2
Suppose 4*v - 11 = 9. Differentiate 1 + 0 - v - 4*h**3 with respect to h.
-12*h**2
Let i(n) = 3*n**2 - 63*n. Let m(w) = -4*w**2 + 64*w - 2. Let h(b) = -6*i(b) - 5*m(b). Find the first derivative of h(c) wrt c.
4*c + 58
Let k(m) = 112*m**2 + 5*m - 405. Let l(n) = -n. Let s(j) = -k(j) - 5*l(j). Differentiate s(h) with respect to h.
-224*h
Let s(i) = i**3 - 6*i**2 + 2*i - 7. Let k be s(6). Find the second derivative of 7*v**5 - v - 4 - 1 + 47*v**k - 6 wrt v.
1080*v**3
Suppose -8 - 7 = -5*v. What is the third derivative of -15*t**3 + 13*t**3 + t - v*t**2 + 2*t**5 - 8*t**3 wrt t?
120*t**2 - 60
Suppose n - 4*l - 5 = 22, 2*n - 87 = -3*l. Let w be 1/8 + n/8. What is the third derivative of -4*v**4 - 1 - w*v**2 + 0*v**4 + 1 wrt v?
-96*v
Let m(s) be the third derivative of -s**6/3 - 5*s**4/8 - 4*s**2 + 11. What is the second derivative of m(n) wrt n?
-240*n
Let b(s) = s**3 - 22*s**2 - 21*s - 30. Let z be b(23). What is the third derivative of 10*q**6 - z*q**2 + 1168*q**4 - 1168*q**4 wrt q?
1200*q**3
Let r(y) be the second derivative of -73*y**5/20 + y**4/12 - 11*y**3/3 + 8*y. What is the second derivative of r(f) wrt f?
-438*f + 2
Let i = -2099/2 + 1053. Let v(z) be the second derivative of 0*z**5 + 0*z**3 + i*z**2 + 1/6*z**6 + 0 - 7*z + 0*z**4. Differentiate v(s) with respect to s.
20*s**3
Find the second derivative of -25 + 38*q - 48*q + 53*q**2 + 28 wrt q.
106
Let y(s) = s**4 - s**3 + s**2 + 1. Let r(o) = -33*o**4 + 3*o**3 + 3*o**2 - 246*o - 3. Let v(a) = r(a) + 3*y(a). What is the second derivative of v(i) wrt i?
-360*i**2 + 12
Suppose f = 3*f - 4*y - 22, -3*f - y = -5. Suppose 11 = 2*p - x, 2*p - 4 + 8 = -2*x. What is the second derivative of 3*c + 3*c**f - 3*c + 2*c**p + 6*c wrt c?
30*c
Let o(g) be the second derivative of -3/2*g**2 - 1/10*g**5 - 2 - 15*g + 1/3*g**3 + 0*g**4 - 1/30*g**6. Find the second derivative of o(s) wrt s.
-12*s**2 - 12*s
Let m(w) = w + 31. Let t be m(-22). Find the second derivative of -24*y + 18*y - t*y**5 - 16*y wrt y.
-180*y**3
Let c(d) be the first derivative of -7*d**6/3 + d**3 + 135*d**2/2 + 30. What is the second derivative of c(x) wrt x?
-280*x**3 + 6
Let q(n) = -n**2 + 12*n - 9. Let v be q(9). Let k = 20 - v. What is the first derivative of -4*u**2 - k - 9 + 4 wrt u?
-8*u
Let b(g) be the third derivative of 151*g**6/40 - 28*g**3/3 - 515*g**2. Find the first derivative of b(s) wrt s.
1359*s**2
Let l(c) be the third derivative of 81*c**6/40 + 131*c**4/12 - 241*c**2. Find the second derivati