at is the second derivative of 127 + 19*w**2 - 61 - 68 - 31*w wrt w?
38
Suppose -t + 4*z = -6*t + 20, t = 4*z + 4. Let p be (-2)/8 - (-9)/t. What is the second derivative of 2*i - 2*i**2 - i**p + 0*i**2 wrt i?
-6
Let v be (-12)/(-4) - 1 - -18. Find the first derivative of v + 6*z**3 - 19 - 3*z**3 wrt z.
9*z**2
Suppose 32 = 12*h - 4*h. Find the first derivative of 7 - 1 - 21*g**4 + 2 - 8*g**h wrt g.
-116*g**3
What is the third derivative of 24*p**5 - 355*p**5 + 2 + 1919*p**2 - 2002*p**2 wrt p?
-19860*p**2
Let m(f) = -5*f**2 - 2. Let l be m(1). Let t = 13 + l. Find the third derivative of 5*j**3 + 5*j**2 + 4*j**3 - 5*j**2 + t*j**2 wrt j.
54
Let s(b) be the first derivative of -b**4/24 - 2*b**3 - b**2/2 - 31. Let f(x) be the second derivative of s(x). Differentiate f(l) wrt l.
-1
Suppose 7 = 2*w + 19. Let t be (-3)/w - (-2)/(-4). Find the second derivative of t*m**2 - 2*m + 6*m**2 - 12*m**2 wrt m.
-12
Let j(r) be the third derivative of -107*r**8/112 - r**4/24 - 31*r**3 + 297*r**2. What is the second derivative of j(m) wrt m?
-6420*m**3
What is the third derivative of 215*v**3 - 105 + 105 + 837*v**2 + 92*v**3 wrt v?
1842
Let s(p) be the first derivative of -p**2 + 4*p - 5*p - 4*p + 7 - p**2. Differentiate s(v) with respect to v.
-4
Differentiate 12*b**3 - 9*b**3 - 162*b + 143*b - 364 - 4*b**3 wrt b.
-3*b**2 - 19
Let c(q) = 4*q**3 + 5*q**2 + 3. Let m(y) = y**3 - y**2 - 1. Suppose 0 = -3*v + 8 + 7. Let o(b) = v*m(b) + c(b). What is the derivative of o(l) wrt l?
27*l**2
Suppose -3*x = -4*v - 1 + 40, v = -x + 1. Let n(q) = -q**2 + 8*q - 6. Let f be n(v). What is the derivative of g**2 + 76 - g**2 - 80 - f*g**4 wrt g?
-24*g**3
Suppose 2*w + 4 + 4 = 0. Let g be 356/52 + w/(-26). What is the third derivative of 2*y**5 - g*y**2 - 8*y**2 + 13*y**2 wrt y?
120*y**2
Suppose -2*t - 22 = -2*q, -4*q + q = t - 29. What is the second derivative of 2*u + q*u**5 + 0*u - u**5 - 6*u wrt u?
180*u**3
Let y(i) be the second derivative of -5*i**5/2 + i**4/4 - 16*i**3/3 + 133*i. Find the second derivative of y(u) wrt u.
-300*u + 6
Let j(v) = -4*v**2 - 2*v - 5. Let a(s) = -s - 5 + 12 - 4 + 3 - 5. Suppose 4*g = 8*g + 4. Let m(l) = g*j(l) - 5*a(l). Find the second derivative of m(w) wrt w.
8
Let k(m) = 687*m**2 - 5*m + 184. Let c(f) = -344*f**2 + 3*f - 89. Let y(l) = 5*c(l) + 3*k(l). What is the first derivative of y(p) wrt p?
682*p
Let d(o) be the first derivative of 234*o**7/7 - 4*o**3/3 - 19*o**2 + 123. What is the third derivative of d(b) wrt b?
28080*b**3
Let n(p) be the third derivative of 11*p**7/30 + 91*p**3/6 + 82*p**2. What is the derivative of n(b) wrt b?
308*b**3
Differentiate 168*p**2 + 0 + 3 - 2*p + 176*p**2 - 349*p**2 with respect to p.
-10*p - 2
Let h(i) be the second derivative of 4/3*i**4 + 0*i**5 + 0 + 0*i**3 - 7*i + 0*i**2 - 1/10*i**6. What is the third derivative of h(r) wrt r?
-72*r
Let o = -17 + 31. Differentiate o*i**3 - 23 + 15*i**3 - 41*i**3 wrt i.
-36*i**2
Suppose 0 = 8*p - 12*p - 12. Let b be (-5)/(-10) + p/(-2). What is the third derivative of 4*x**2 + 3*x**b - 4*x**2 + 4*x**2 - 4*x**3 wrt x?
-24
Let j(p) be the second derivative of p**5/20 - p**4/2 - 7*p**3/6 + 4*p. Let b be j(7). Find the first derivative of 8*o**3 - 4*o**3 + b*o**3 - 2 wrt o.
12*o**2
Let c(h) be the third derivative of 14*h**5/15 - 17*h**4/24 - 73*h**2 - 1. Find the second derivative of c(n) wrt n.
112
What is the derivative of -39*d**2 + 38 - 46 - 82 wrt d?
-78*d
Let q(g) be the third derivative of 26*g**7/105 + 25*g**3/6 + 37*g**2. Differentiate q(k) with respect to k.
208*k**3
Let t(n) = -132*n**2 + n - 14. Let x(p) = 265*p**2 - 3*p + 28. Let u(y) = -5*t(y) - 2*x(y). What is the derivative of u(a) wrt a?
260*a + 1
Let m(h) be the first derivative of h**3 - 3*h**2/2 - 1. Let y be m(2). What is the derivative of -y*g**2 + g**2 + 7 - 8 - 6 wrt g?
-10*g
Let t be ((-12)/9)/(5/(-15)). Differentiate 25*n**4 + 38*n**t - 54*n**4 + 13 wrt n.
36*n**3
Suppose 0 = -u - 2*d - 2*d + 10, -u + d + 20 = 0. Differentiate -m**2 + 6 - u*m**3 + m**2 + 7*m**3 with respect to m.
-33*m**2
Let t be 3/9 + 131/3. Let z(b) = 1 - 1 - 1 - b. Let o(d) = 12*d + 10. Let k(j) = t*z(j) + 4*o(j). What is the derivative of k(c) wrt c?
4
Let x = -16 - -18. Find the second derivative of -5 - 7 + x*g - 22*g**5 + 12 wrt g.
-440*g**3
Let d(i) be the first derivative of 91*i**6/6 - 8*i**3 - i**2/2 + 64. What is the third derivative of d(l) wrt l?
5460*l**2
Suppose -5*k + 3*d + 59 = 0, 3*k = -0*d + d + 37. Let m = -6 + k. What is the first derivative of -8 - 5*z**2 + 9*z**2 - m*z**2 wrt z?
-6*z
Let r(h) be the third derivative of h**5/30 - 11*h**4/24 + 10*h**2. Let f be r(6). What is the second derivative of -11*q + 9*q + 3*q**2 + f*q**2 wrt q?
18
Let p(k) = 47*k**2 + 18*k + 579. Let n(j) = -16*j**2 - 7*j - 193. Let h(f) = 8*n(f) + 3*p(f). Find the first derivative of h(l) wrt l.
26*l - 2
Find the second derivative of -735*b**3 + 369*b**3 - 3*b**5 + 0*b**5 + b**5 - 48*b + 360*b**3 + 1 wrt b.
-40*b**3 - 36*b
Let u(l) be the first derivative of 3*l**5/5 + 37*l**4/2 + l**2 + 65*l - 1109. What is the second derivative of u(f) wrt f?
36*f**2 + 444*f
Let h(q) = 2*q - 11. Let d(r) be the first derivative of -r**2 + 10*r + 25. Let a(v) = -4*d(v) - 3*h(v). Differentiate a(w) with respect to w.
2
Suppose 4*z + 2*d - 70 = -18, 2*z - d - 30 = 0. Find the second derivative of 2*j**3 + 14*j - 8*j - 7*j - z*j wrt j.
12*j
Let r(j) be the second derivative of j**6/10 - 27*j**5/20 + 75*j**2/2 + 9*j - 3. Differentiate r(t) wrt t.
12*t**3 - 81*t**2
Differentiate 3*o**2 - 3*o**2 + 84*o**3 - 11442 + 112*o**3 + 11525 with respect to o.
588*o**2
Let i(b) = -2*b**2 + 13*b + 5. Let c be i(6). Find the second derivative of 4*g**5 + 77*g**2 - c*g - 77*g**2 wrt g.
80*g**3
Find the second derivative of -64*t**4 + t + 16014*t**3 - 32 - 3*t - 16014*t**3 wrt t.
-768*t**2
Suppose 0 = -3*n + 6*n + 96. Let o = 34 + n. What is the third derivative of 6*s**6 + o*s**2 + 10*s**2 + 6*s**6 wrt s?
1440*s**3
Let r(h) be the third derivative of 11*h**5/6 - 15*h**3 + 6*h**2 + 5. Differentiate r(y) wrt y.
220*y
Let h(i) be the first derivative of 655*i**4/4 - 367*i**3/3 + i**2 + 236. Find the third derivative of h(y) wrt y.
3930
Suppose 31 = c + 28. Find the third derivative of -6*s**c - 9*s**2 + 5*s**3 + 0*s**3 wrt s.
-6
Suppose 0 = 7*p - 14 - 14. What is the derivative of 11*a + p*a + 12 - 24*a - 16*a wrt a?
-25
Let q(c) be the first derivative of 0*c**2 + 0*c**4 - 12 + 0*c + 0*c**5 + 1/3*c**6 - 5/3*c**3. Find the third derivative of q(i) wrt i.
120*i**2
Let c(k) be the second derivative of 81*k**5/5 - k**4/3 + 65*k**2/2 - 11*k. Find the third derivative of c(r) wrt r.
1944
Suppose 4*l + 4*r - 148 = 0, 2*r - 83 = -4*l + 69. What is the second derivative of 5*x + l*x**5 + 2*x - 30*x**5 wrt x?
180*x**3
What is the derivative of -61 + 442*j - 70*j + 15 + 48 wrt j?
372
Suppose -d + 5 = -0. Let m(x) = x**3 - 4*x**2 - 6*x + 7. Let i be m(d). Find the third derivative of -23 + 23 - 5*a**4 - a**i wrt a.
-120*a
Suppose -5*z + 21 = -4*n, 0 = -4*z - n - n + 22. Let f = -6 - -11. What is the second derivative of -i**4 + i**4 - f*i**5 + 5*i + i**z wrt i?
-80*i**3
Let k(j) = 413*j + 486. Let p(d) = -207*d - 242. Let i(x) = -2*k(x) - 5*p(x). Differentiate i(q) wrt q.
209
Let v(q) be the first derivative of 2*q**5/5 - 30*q**3 + 104*q**2 - 2*q - 137. Find the second derivative of v(b) wrt b.
24*b**2 - 180
Let r = -40 - -44. What is the second derivative of 33*j - 17*j + 5*j**4 - 22*j**4 - j**r wrt j?
-216*j**2
Let m(u) be the second derivative of -u**4 + 0*u**3 + 0*u**5 - 16*u - 13/30*u**6 + 0*u**2 + 0. What is the third derivative of m(j) wrt j?
-312*j
Let r = -7 + 8. Let p(c) = -3 + r + 5 - 4 + c. Let l(w) = 5*w**2 + 2*w - 3. Let j(a) = -l(a) + 3*p(a). What is the second derivative of j(m) wrt m?
-10
Find the second derivative of -479*v**5 + 183*v**5 + 22*v + 1 - 3 wrt v.
-5920*v**3
Let f(k) be the third derivative of 3*k**5/20 + k**4/3 + 3*k**3/2 + 39*k**2. What is the second derivative of f(v) wrt v?
18
Let m be (6/(-8))/((-9)/48). Suppose m*t + 18 = 30. What is the third derivative of 2*b**t + 4*b**3 + 2*b**3 - b**2 - 2*b**3 wrt b?
36
Let f be -3 - -8 - (-117)/(-27). Let o(a) be the first derivative of -2/5*a**5 + f*a**3 + 0*a + 1 + 0*a**4 + 0*a**2. What is the third d