3*d + 3*d**4 + 0*d**4 wrt d?
36*d**2
Differentiate -104 - 51*z**3 + 151*z**3 - 47*z**3 - 46*z**3 - 34*z**3 with respect to z.
-81*z**2
Let f be 1*(2 + -2 + 2). Let j = 7 - f. Find the first derivative of -y**2 - j + 1 - 4 + 4*y**2 wrt y.
6*y
Let t(i) be the third derivative of 41*i**9/504 + i**6/24 + 62*i**5/15 + i**3/3 - 8*i**2 - 21. Find the third derivative of t(r) wrt r.
4920*r**3 + 30
Let k(a) be the first derivative of 283*a**3/3 + 165*a**2/2 + 180. What is the second derivative of k(t) wrt t?
566
Let j(c) be the first derivative of 133*c**4/2 + 5*c**3 + c**2/2 + 281. What is the third derivative of j(y) wrt y?
1596
Suppose -3*o + 4*a + 5 = 0, -3*o + o + a = 0. Let y be (9 + -8)/(o/(-3)). What is the third derivative of -3*j**6 + y*j**2 + 3*j**6 + j**6 wrt j?
120*j**3
Let l(t) be the second derivative of 143*t**4/6 - 17*t**3/6 + 9*t**2/2 + 376*t. What is the second derivative of l(y) wrt y?
572
What is the first derivative of -642 + 47 - 334 + 102 - 517*q - 283*q wrt q?
-800
Let y(o) = o**3 + o**2 + o - 1. Let a be y(1). Suppose -134*k = -166*k + 64. Find the second derivative of i**k + i - 9*i**a - i**2 + 0*i wrt i.
-18
Let x(d) be the second derivative of -7*d**6/180 + d**5/60 - 5*d**4/4 + 11*d. Let h(v) be the third derivative of x(v). What is the derivative of h(s) wrt s?
-28
Let s(x) = -182*x**3 + 4*x + 8. Let w(b) = 1455*b**3 - 35*b - 65. Let a(p) = 25*s(p) + 3*w(p). What is the second derivative of a(g) wrt g?
-1110*g
Let r(n) be the first derivative of -361*n**2/2 - 590*n + 156. What is the derivative of r(w) wrt w?
-361
Let b(x) be the second derivative of x**7/42 + 17*x**4/6 - x**3/3 - 10*x**2 + 123*x + 2. What is the second derivative of b(o) wrt o?
20*o**3 + 68
What is the first derivative of 258*f**3 - 104 - 65 + 122*f**3 wrt f?
1140*f**2
Let u(w) = 536*w - 233. Let l(x) = -549*x + 234. Let r(h) = -5*l(h) - 6*u(h). What is the first derivative of r(d) wrt d?
-471
Let y = 2 + -2. Suppose y = 4*z + 2*h - 14, 20 = 4*z - 2*h + 6*h. Find the third derivative of -8*b**5 + b**z - 2*b**2 + 2*b**2 wrt b.
-480*b**2
Find the third derivative of -41*w + 49*w - 7*w**3 - 23*w**2 + 283*w**6 - 305*w**6 wrt w.
-2640*w**3 - 42
Let g(o) be the first derivative of 52*o**5/5 - 24*o + 88. What is the derivative of g(w) wrt w?
208*w**3
Differentiate 150*o - 35*o - 2 + 2*o**2 - 6*o**2 - 72*o + 289 wrt o.
-8*o + 43
Suppose 3*y - 13 = -2*t - 4, -3*t + 2*y = -33. Find the third derivative of -12 + 0*k**3 + t*k**3 + 12 + 16*k**2 wrt k.
54
Suppose -777 = -4*s + 655. Suppose s = -5*d + 983. Find the third derivative of -d*x**6 + 22*x**2 + 124*x**6 - 9*x**2 wrt x.
-120*x**3
Let l(m) be the first derivative of 23*m**5 - 44*m**3 + 114. What is the third derivative of l(j) wrt j?
2760*j
Suppose 0 = -5*q - 0*q + 20. Suppose q*b + 2 = 10. Find the third derivative of -b*v**2 + 7*v**2 - v**2 + 4*v**2 - 2*v**6 wrt v.
-240*v**3
Let j be ((-18)/(-24))/(3/12). Find the third derivative of -2 + 2 + 320*n**j + 4*n**2 - 316*n**3 wrt n.
24
Suppose -3*v + 44 = -4*w, 3*w = 2*w + 5*v - 28. Let d be (-70)/w - 3/(-12). Find the second derivative of -y - y + 2*y**4 - 3*y**4 + d*y wrt y.
-12*y**2
Find the second derivative of -235*v**2 + 10*v**2 - 9*v + 4*v**2 - 29*v**2 + 0 + 7 wrt v.
-500
Let k be 4 + -4 - 14/(-7). Suppose -3*r = -6*r + 6. What is the first derivative of 4*y**2 - 8*y**r + 5*y**k + 5 wrt y?
2*y
Let a(r) = r**2 + 2*r + 3. Let k be a(-2). Suppose -7 = j - 4*w + k, 12 = 4*w. What is the second derivative of n - 2*n - j*n**4 + 6*n - n wrt n?
-24*n**2
Let v(t) be the first derivative of -2*t**7/7 + 205*t**6/6 - 298*t**3/3 - 110. Find the third derivative of v(s) wrt s.
-240*s**3 + 12300*s**2
Let t(c) be the first derivative of -58*c**5/5 + 7*c**3 - 3*c - 27. Find the third derivative of t(f) wrt f.
-1392*f
Let i(j) = 303*j**2 - 58*j - 11. Let g(m) = -607*m**2 + 114*m + 25. Let r(f) = 3*g(f) + 7*i(f). What is the second derivative of r(o) wrt o?
600
Let p(z) be the first derivative of -10*z**3/3 + 27*z**2/2 - 381*z + 540. Differentiate p(u) wrt u.
-20*u + 27
Let l be (60/(-6))/(3 + -4). Find the third derivative of -37*a**2 + l*a**3 - 53*a**2 + 77*a**2 wrt a.
60
Suppose -4 - 11 = -3*k. Suppose -3*u + 5*r = -24, -21 = -2*u - 0*u + k*r. Differentiate 1 + 2 - u*m**4 - 2*m**4 with respect to m.
-20*m**3
Let q(v) = 267*v**4 - 66*v**2 + 12*v - 4. Let d(z) = z**4 - 3*z + 1. Let m(b) = -4*d(b) - q(b). Find the third derivative of m(s) wrt s.
-6504*s
Let o(z) = 223 - 106 - 95 - 35*z**2. Let a(m) = -35*m**2 + 23. Let d(f) = -6*a(f) + 7*o(f). Find the first derivative of d(w) wrt w.
-70*w
Let z(k) be the second derivative of 0*k**6 + 20/21*k**7 + 0 + 5/2*k**4 + 0*k**3 + 0*k**2 - 4*k + 0*k**5. What is the third derivative of z(m) wrt m?
2400*m**2
Suppose -a = 7 - 10. Suppose 15 - a = 3*n. Find the second derivative of -10*v + 3*v**n - 3*v**4 + 9*v**5 wrt v.
180*v**3
Let v(p) be the third derivative of -143*p**7/210 + p**6/120 + p**4/12 + 22*p**3/3 + 554*p**2. What is the second derivative of v(k) wrt k?
-1716*k**2 + 6*k
Suppose 0 = 2*u - c - 10, 4*c = -7 - 9. Let p(t) be the second derivative of 0 - t**u + 2*t + 0*t**2 - 1/6*t**4. What is the second derivative of p(h) wrt h?
-4
Find the first derivative of -2*u**2 - 1182 + 1124 + 3*u**2 - 25*u**3 wrt u.
-75*u**2 + 2*u
Let f(k) = -51*k**3 + 48*k**2 - 17*k - 173. Let v(j) = -25*j**3 + 22*j**2 - 8*j - 86. Let b(r) = 6*f(r) - 13*v(r). What is the second derivative of b(t) wrt t?
114*t + 4
Let d(h) be the second derivative of -19*h**4/6 + 20*h**2 - 2*h - 53. Differentiate d(u) with respect to u.
-76*u
What is the first derivative of d**2 - 119 + 18*d**2 + 39 - 3*d**2 wrt d?
32*d
Suppose i + a - 7 = 0, -3*i - 5*a + 20 + 7 = 0. Suppose 2*p + 6 = i*p. What is the second derivative of 6*o**p - 5*o**3 - o + 2*o wrt o?
6*o
Let l be 15/(2/4*-2). Let k be 10/4*(-24)/l. Differentiate -6*q**k - 4 + 8*q**4 - 2 wrt q.
8*q**3
Let m(c) be the first derivative of 2*c**3/3 - 2*c**2 + 188*c + 204. What is the derivative of m(v) wrt v?
4*v - 4
Let h(j) be the third derivative of -139*j**5/60 + 17*j**4/24 - 100*j**2. Find the second derivative of h(l) wrt l.
-278
Let a = 93 - 90. What is the second derivative of -6*m**4 + 3*m**2 + 2*m**2 - 7*m**2 - 23*m - a*m**2 wrt m?
-72*m**2 - 10
Let n(u) = 1. Let v be 9/3 + 0 + 9. Let a(i) = i + i + 0*i + v. Let p(o) = -a(o) + 10*n(o). Find the first derivative of p(f) wrt f.
-2
Find the third derivative of -1 - 21*n**2 - 91*n**2 + 157*n**3 - 15 + 14 wrt n.
942
Let v(s) = -25*s**2 - 50*s + 251. Let k(p) = -6*p**2 - 12*p + 63. Let l(a) = -9*k(a) + 2*v(a). What is the derivative of l(g) wrt g?
8*g + 8
Let d(p) be the second derivative of 0*p**4 + 3/20*p**5 + 14*p + 0*p**3 + 0 - 3/2*p**2. What is the first derivative of d(z) wrt z?
9*z**2
Let o = -214 - -324. What is the first derivative of -118*p**3 - 8 + o*p**3 + 1 + 1 wrt p?
-24*p**2
Let z(w) be the first derivative of -24*w**3 - 157*w**2/2 + 109. Find the second derivative of z(k) wrt k.
-144
Let b(a) = -24*a**2 + 55*a + 3. Let h(c) = -24*c**2 + 55*c + 4. Let g(o) = -4*b(o) + 3*h(o). What is the second derivative of g(t) wrt t?
48
What is the third derivative of -49*l**2 - 15*l**3 + 21*l**3 - 36*l**3 wrt l?
-180
What is the second derivative of 72 + 13*p - 24*p - 17*p - 67 - 349*p**3 wrt p?
-2094*p
Let j(y) be the first derivative of -34*y**3/3 - 13*y - 41. Find the first derivative of j(x) wrt x.
-68*x
Let y(n) = 384*n**2 + 48*n + 4. Let o(z) = -z**3 - 2*z**2 - 2*z - 1. Let l(f) = 2*o(f) + y(f). What is the second derivative of l(t) wrt t?
-12*t + 760
Differentiate 180*s**4 + 4*s - 453 - 5*s + 267 with respect to s.
720*s**3 - 1
Suppose 0 = -y - 3*y + 12. Suppose 2*f + y = 19. What is the first derivative of 2*x**3 - 4 - x**3 + f + 0*x**3 wrt x?
3*x**2
Let l(k) = -28*k - 16. Let h(t) = -28*t - 16. Let i = 20 - 16. Let r(g) = i*h(g) - 3*l(g). Differentiate r(b) wrt b.
-28
Let b(p) be the second derivative of -p**6/15 - 27*p**5/20 + 9*p**4 - p**3/3 + 119*p - 2. Find the third derivative of b(g) wrt g.
-48*g - 162
Let a be (-9)/(-6)*4 - -4. What is the first derivative of 3 - a + 3*j + 6 + 12 wrt j?
3
Let x(p) = 3*p - 9*p - 5 + 58*p**4 + 33*p. Let z(q) = 29*q**4 + 13*q - 2. Let w(h) = -2*x(h) + 5*z(h). Find the second derivative of w(d) wrt d.
348*d**2
Let l(