 - 2*p**2 + 91*p**3 wrt p?
546
Let d be -3 + 0 - 209/(-11). Differentiate -7 + 22*k**4 + k**4 - d - 2*k**4 with respect to k.
84*k**3
Suppose p + 16 = -p. Let h = 12 + p. Differentiate -5 - h - 43*y + 43*y - y**2 with respect to y.
-2*y
Let v(m) = 317*m**3 + 3*m**2 - 4*m + 832. Let q(n) = -636*n**3 - 5*n**2 + 7*n - 1665. Let l(b) = -3*q(b) - 5*v(b). What is the first derivative of l(a) wrt a?
969*a**2 - 1
Suppose 3*s - 2*b - 52 = 0, -b + 15 = -4*b. What is the second derivative of -a**4 + s*a - a**4 - 4*a wrt a?
-24*a**2
Suppose 5*d - 20 = 0, -3*j - 4*d + 0 - 8 = 0. Let w be 15/1 + (-10 - j). Find the third derivative of -w*r**2 + 14*r**4 + 2 - 22*r**4 - 2 wrt r.
-192*r
Suppose 5*m + 0*m = 25. Suppose m*r + 40 = 5*c, -2*r + 16 + 1 = c. What is the derivative of 3*u**2 - c*u**2 - 1 + u**2 - 3 wrt u?
-14*u
Let u(y) = -265*y**3 - 283*y**2 + 5*y - 27. Let q(l) = 132*l**3 + 142*l**2 - 2*l + 12. Let n(c) = 9*q(c) + 4*u(c). Find the third derivative of n(v) wrt v.
768
Let w be (26 + -6)*1/4. Let i be (w/(-2))/((-15)/36). Find the second derivative of 74*r**3 - 5*r + i*r**4 - 74*r**3 wrt r.
72*r**2
Let m(f) = f**5 + 15*f**4 + 17*f**2 - 3*f - 2. Let q(a) = a**4 + a**2 - 2*a - 1. Let y(c) = -m(c) + 2*q(c). What is the third derivative of y(h) wrt h?
-60*h**2 - 312*h
Let d(g) = -4*g**2 + 2*g + 3. Let r be d(-3). Let k be (-6)/r + (-50)/(-13). Find the second derivative of 23*w**4 + 18*w**4 - 40*w**k - 4*w wrt w.
12*w**2
Let z(p) = -p**2 + 28*p - 57. Let o be z(25). Find the third derivative of 9*d**2 - 13*d**2 + 16*d**2 - 42*d**4 + o*d**2 wrt d.
-1008*d
Let o = 47 + -32. Suppose -3*c - o = -84. Find the second derivative of c*q**3 + 9*q - 3*q - 22*q**3 wrt q.
6*q
Let c(y) = 68*y**2 + 293*y + 2. Let d(z) = 67*z**2 + 281*z + 3. Let a(s) = 3*c(s) - 2*d(s). What is the second derivative of a(t) wrt t?
140
Let g be (-9)/(-21) - (20/14 - 1). What is the first derivative of g*p - 2*p + 0 + 7 + 4 wrt p?
-2
Let b(l) be the second derivative of -8*l**6/15 + l**4/4 - 721*l**2/2 - 506*l. What is the derivative of b(o) wrt o?
-64*o**3 + 6*o
Let i(t) = -t**4 - t**3 - t**2 + t. Let x(o) = 26*o**4 + 2*o**3 + 2*o**2 - 2*o + 51. Let c(a) = -4*i(a) - 2*x(a). Differentiate c(f) wrt f.
-192*f**3
Suppose -102*j + 4 = -100*j. Differentiate 0*t + 0*t**2 + 0*t + 26*t**j - 10 with respect to t.
52*t
Let i(o) be the third derivative of 0 - 12*o**2 + 0*o**4 - 3/2*o**3 - 1/42*o**7 + 0*o**5 + 0*o**6 + 0*o. Find the first derivative of i(j) wrt j.
-20*j**3
Let g = -405 + 408. Let c(o) be the second derivative of 0*o**4 - g*o + 0*o**2 + 1/20*o**5 - o**3 + 0. Find the second derivative of c(r) wrt r.
6*r
Let l = 336 - 206. What is the first derivative of 130*h - 11*h**2 - 12 - l*h wrt h?
-22*h
Let r be 1*8 + 103 + -111. Let j(x) be the second derivative of 4*x**2 + 7/12*x**4 + 0 + r*x**3 - 8*x. What is the first derivative of j(o) wrt o?
14*o
Differentiate 6 - 1 - 2104*g - 3*g**3 + 2092*g wrt g.
-9*g**2 - 12
What is the derivative of -339*f**3 - f**2 + f**2 - 1647 + 1614 wrt f?
-1017*f**2
Let q(s) be the second derivative of 1/6*s**4 + 0*s**3 + 9/2*s**2 + 0 + 21*s. Differentiate q(g) with respect to g.
4*g
Find the third derivative of -r**2 + 5*r**5 + r**5 - 5495 + 7*r**4 + 5495 wrt r.
360*r**2 + 168*r
Suppose 6*g - 3*g + 27 = 0. Let f(d) = -d**2 - 10*d - 9. Let t be f(g). Find the first derivative of t + 3*n + 1 - 12*n + 6*n wrt n.
-3
Let y(s) be the second derivative of -15*s**5/2 - 19*s**3/2 - 145*s. Find the second derivative of y(a) wrt a.
-900*a
Let a(k) be the second derivative of k**7/2 + k**5/10 - 33*k**4/4 - 12*k - 3. Find the third derivative of a(x) wrt x.
1260*x**2 + 12
Let s = -11 - -16. Let i = -10 + 13. Find the second derivative of -6*q**3 + 0*q**i - 3*q**3 + s*q wrt q.
-54*q
Suppose -s + 8 = 3*s. Suppose -2*x + x = -s. Let h(w) = 3*w - 3. Let j(k) = 12*k - 11. Let v(o) = x*j(o) - 9*h(o). Find the first derivative of v(u) wrt u.
-3
Let p be 1 - (-4)/4*(-3 - -2). Let l(s) be the third derivative of p + 1/10*s**5 + 2*s**2 + 0*s + 1/6*s**3 + 0*s**4. Differentiate l(z) wrt z.
12*z
Let g(c) = -2*c**2 - 17*c - 3. Let p be g(-7). Differentiate -17*b**2 - 4*b + 4*b + p*b**2 + 7 wrt b.
2*b
Suppose -5*k + 2 = 3*d - 2, -3*k + 2*d = -10. What is the first derivative of -32*s**k + 19 + 19*s**2 + 21*s**2 wrt s?
16*s
Let p be (-3)/(3/(-1)) + 1. Let f(w) = -w + 11. Let t be f(9). What is the third derivative of -4*z**4 + 5*z**4 + p*z**t - 2*z**2 + z**2 wrt z?
24*z
Find the first derivative of 26*h - 7*h + 3*h + h**2 - 176 wrt h.
2*h + 22
Let m(j) be the third derivative of -11*j**9/252 + j**7/70 - 79*j**5/60 - j**2 - 40*j. Find the third derivative of m(q) wrt q.
-2640*q**3 + 72*q
Let z(j) = -13*j**2 - 104*j - 7. Let m(v) = v**3 - 39*v**2 - 311*v - 20. Let k(n) = 6*m(n) - 17*z(n). Find the second derivative of k(p) wrt p.
36*p - 26
Let w(v) = -5*v**2 + 275*v + 232. Let h(q) = q**2 - 55*q - 46. Let k(s) = 11*h(s) + 2*w(s). Differentiate k(d) with respect to d.
2*d - 55
Suppose -4 + 24 = 5*d, -4*g = d - 4. Suppose 16 = 4*s, g = -t + 6*t - 4*s - 14. Find the third derivative of -t*a**2 + 8*a**2 + 7*a**4 - 4*a**4 wrt a.
72*a
Let d = -1063 + 1066. Let v(f) be the third derivative of -5*f**2 - 1/2*f**d + 0*f + 3/8*f**4 + 0. Differentiate v(j) with respect to j.
9
Let r(u) = u - 7. Let b be r(5). Let x be ((-10)/15)/(b/36). What is the second derivative of 4*a**3 + 6*a**3 - x*a**3 - 12*a wrt a?
-12*a
Let s(p) be the first derivative of 9*p**5/20 - 19*p**2/2 + 16*p + 9. Let t(a) be the first derivative of s(a). Find the first derivative of t(w) wrt w.
27*w**2
Let a(u) be the third derivative of u**8/168 - 26*u**7/105 - 7*u**5/60 + u**3/3 + 22*u**2 - 2*u. What is the third derivative of a(y) wrt y?
120*y**2 - 1248*y
Let c(l) = -3*l + 3. Let f be c(-5). Suppose 6*j - 54 = -f. Find the first derivative of -2*a + 0*a + 1 - j*a - 2 wrt a.
-8
Let g(i) be the second derivative of -i**8/28 + i**5/20 - 7*i**4/6 + 117*i. Find the third derivative of g(k) wrt k.
-240*k**3 + 6
Suppose 4*i - 135 = -3*o, 5*o = 12*i - 7*i - 125. Find the second derivative of -19*d**4 + 3*d + 13*d + 13*d - i*d + 9 + d**2 wrt d.
-228*d**2 + 2
Suppose -56 - 14 = -5*i. What is the second derivative of -18*y**3 + 13*y + 21*y**3 + i*y**3 wrt y?
102*y
Let h(l) = -49*l**3 + 78*l**2 - 3*l + 2. Let g(s) = 97*s**3 - 155*s**2 + 5*s - 3. Let r(z) = 3*g(z) + 5*h(z). Find the third derivative of r(a) wrt a.
276
What is the derivative of -6*n**2 - 30*n**4 + 8*n**2 + 7*n**2 + 19*n**4 + 5 + 16*n**4 wrt n?
20*n**3 + 18*n
Suppose -6*l + 15 - 3 = 0. Suppose -l - 13 = -5*d. What is the third derivative of 2*f**3 + 6*f**6 - 2*f**d - 9*f**2 + f**2 wrt f?
720*f**3
Let h(u) = -2*u**3 - 2*u**2 + 3*u + 6. Let m be h(-2). What is the derivative of -3 - m - 9*i**2 - 1 - 14 wrt i?
-18*i
Suppose 8*s - 10 = 3*s, 0 = q - 3*s - 7. What is the third derivative of -6*h**2 + q*h**5 + 7*h**2 - 10*h**2 wrt h?
780*h**2
Differentiate -84*d + 3*d - 814 + 285*d + 208*d wrt d.
412
Suppose 4*o = 4*t + 44, 0*t = -o + 2*t + 8. Differentiate -o*z - 7 - 18*z - 3 + 2*z wrt z.
-30
Let q(v) be the first derivative of -19*v - 12 + 37/2*v**2. What is the derivative of q(k) wrt k?
37
Differentiate -92*l**2 + 25 + 6 - 8 + 142*l**2 wrt l.
100*l
Find the third derivative of -15*c + 6*c**2 - 8*c**2 - 64*c**5 - 15*c + 8*c wrt c.
-3840*c**2
Let k(g) = g**2 - g. Let z(i) = 4*i**2 + 21*i**5 - 7*i**5 - 16*i - 3*i. Let y(a) = -4*k(a) + z(a). What is the second derivative of y(w) wrt w?
280*w**3
Let l(p) be the third derivative of 1/24*p**8 - 1/4*p**5 + 0*p + 0*p**3 + p**2 + 0*p**6 + 0*p**7 + 0*p**4 + 0. Find the third derivative of l(o) wrt o.
840*o**2
Let s(k) be the third derivative of k**6/120 - 9*k**5/10 + k**3/3 + 22*k**2. Differentiate s(d) wrt d.
3*d**2 - 108*d
Let f(j) = -298*j**2 - 4*j + 177. Let o(b) = 894*b**2 + 11*b - 532. Let t(d) = 11*f(d) + 4*o(d). What is the derivative of t(k) wrt k?
596*k
Let y(l) = 135*l - 201. Let n(k) = 135*k - 194. Let d(f) = 5*n(f) - 4*y(f). What is the derivative of d(q) wrt q?
135
Suppose -12*o + 8 = -11*o. What is the second derivative of -o*u**2 + u**2 + 6*u**2 - 19*u**2 - 10*u wrt u?
-40
Let a(q) = 889*q**3 - 11*q**2 - 889*q**3 + 6*q - 2*q**4. Let w(b) = -b**4 + b**2 - b. Let o(t) = a(t) + 6*w(t). What is the third derivative of o(l) wrt l?