j
Let o(c) = -c + 16. Let p be o(13). What is the second derivative of p*y + 5*y + 30*y**2 - 21*y**2 wrt y?
18
Let h(l) be the first derivative of 2*l**7/35 + l**5/6 - l**2 - 5. Let q(p) be the second derivative of h(p). What is the third derivative of q(m) wrt m?
288*m
Let p(b) = b**3 + 11*b**2 - 11*b + 17. Let v be p(-12). Differentiate -47*j**4 + 8*j**4 + 0*j**4 + v with respect to j.
-156*j**3
Let u be (2/6*0)/(-1). Suppose u*h = -3*h. Differentiate -3*a + h*a + 8 - 9 + 4*a wrt a.
1
Let q(i) = -16*i**2 - 6. Suppose 0 = 3*o - 27 + 72. Let a = o + 8. Let l(m) = -8*m**2 - 3. Let x(c) = a*l(c) + 3*q(c). Differentiate x(n) with respect to n.
16*n
Suppose 3*u = 5*i + 29, -4*i + 24 = 4*u - 7*i. What is the third derivative of -2*n**2 - 14 + 14 + n**u - 7*n**3 wrt n?
-36
Let l(x) be the first derivative of 2 + 0*x + 0*x**2 + 2/3*x**3 + 0*x**4 - 14/5*x**5. Find the third derivative of l(p) wrt p.
-336*p
Suppose -44 = -4*g - 7*g. What is the derivative of 1 + 14*c**g + 0 + 3 + 16 wrt c?
56*c**3
What is the second derivative of 5*d**3 + 2 - 2 + 5*d + 47*d**2 - 49*d**2 wrt d?
30*d - 4
Let l(j) be the third derivative of 0*j + 9/70*j**7 + 16*j**2 + 0*j**6 + 0*j**4 + 0*j**5 + 0 - 8/3*j**3. Find the first derivative of l(k) wrt k.
108*k**3
Let z(p) = 15 + 11*p**2 - 30*p**2 + 4*p**2 + 5*p**2. Let a(t) = 7 + 0*t + 0*t - 5*t**2. Let d(i) = 13*a(i) - 6*z(i). Find the first derivative of d(x) wrt x.
-10*x
Let r(f) be the first derivative of 0*f + 0*f**2 + 17/3*f**3 + 0*f**6 + 0*f**4 + 0*f**5 + 32/7*f**7 + 29. Find the third derivative of r(s) wrt s.
3840*s**3
Let k(q) be the first derivative of -115*q**2 - 224*q - 126. Find the first derivative of k(z) wrt z.
-230
Let i(j) be the second derivative of j**7/3 - 3*j**5/20 - 313*j**4/12 - 120*j - 1. Find the third derivative of i(b) wrt b.
840*b**2 - 18
Let r(o) be the third derivative of -o**8/42 + o**4/12 - o**3/2 - 69*o**2. Find the second derivative of r(l) wrt l.
-160*l**3
Let d(x) be the third derivative of 0*x**5 + 1/28*x**8 + 14*x**2 + 0*x**7 + 0*x**6 + 0*x**3 + 0 - 17/24*x**4 + 0*x. What is the second derivative of d(j) wrt j?
240*j**3
Let a(h) = -2*h**2 - 20*h - 8. Let u be a(-9). Let z(o) = o**3 - o**2 + o + 4. Let w be z(0). What is the second derivative of 10 - u + 5*c**2 + w*c wrt c?
10
Let s(k) be the first derivative of 21*k**4/4 - 2*k**3/3 + 7*k**2/2 + 7*k + 3. What is the second derivative of s(a) wrt a?
126*a - 4
What is the second derivative of 59*l + l**4 + 0*l**4 - 100*l + 9*l**3 - 10*l**3 - 329*l wrt l?
12*l**2 - 6*l
Let d = 1847 - 1844. Let x(i) be the first derivative of -10/3*i**d + 5 - 5*i + 0*i**2. What is the first derivative of x(v) wrt v?
-20*v
Find the first derivative of 15 - 211 - 170 + 164*p wrt p.
164
Suppose 0 = -3*k + 3*y + 6, -3*k + 14 = -2*y + 7*y. Let x = 166 - 163. Find the third derivative of -3*s**3 + 7*s**k - x*s**3 + 7*s**2 wrt s.
6
Differentiate -263*t**2 - 181*t**2 + 199*t**2 - 316*t**2 - 543 with respect to t.
-1122*t
Suppose -7*t - 5 = -33. Let u(q) = -90*q**2 - 69*q. Let g(a) = 13*a**2 + 10*a. Let n(x) = t*u(x) + 27*g(x). What is the second derivative of n(l) wrt l?
-18
Let h = 1362 + -1358. Let k(y) be the third derivative of 0 - 1/60*y**6 - 3/8*y**4 + h*y**2 + 0*y**3 + 0*y + 0*y**5. Find the second derivative of k(r) wrt r.
-12*r
Suppose 7 + 25 = -4*c. Let n be ((-6)/7)/(c/28). What is the third derivative of 3*j**2 - 4*j**2 - 4*j**2 + n*j**3 wrt j?
18
Let s(n) be the second derivative of 1/2*n**2 + 0 + 1/2*n**4 + 0*n**3 + 7*n. Find the first derivative of s(w) wrt w.
12*w
Let a(q) = 2*q + 4. Suppose p - 7 = 2*p. Let g(t) = t + 3. Let x(f) = p*g(f) + 5*a(f). Differentiate x(h) wrt h.
3
Suppose 2*p - 5*j + 0*j - 53 = 0, 104 = 5*p - 3*j. What is the third derivative of p - 6*g**2 - 19 + 12*g**4 wrt g?
288*g
Let h(f) = 3*f**2 - 14*f - 11. Let b be h(6). Let s(t) be the second derivative of -5/2*t**2 + 13/6*t**3 - b*t + 0. Differentiate s(y) wrt y.
13
Let q(p) = 8*p**3 - p**2 + p - 1. Let x be q(1). Suppose 2 = -a + x. What is the third derivative of -2*d**5 + 3*d**2 - 2*d**2 - 3*d**2 + 3*d**a wrt d?
60*d**2
Let l(k) be the second derivative of -7*k**4/4 - 2*k**3/3 + 124*k**2 - 2*k + 164. Find the first derivative of l(x) wrt x.
-42*x - 4
Let o(y) be the first derivative of -3/4*y**4 + 12 + 0*y**3 + 0*y**2 + 17*y. Find the first derivative of o(l) wrt l.
-9*l**2
What is the third derivative of 2122*m**2 - 2124*m**2 + 63*m - 22*m - 16*m**5 wrt m?
-960*m**2
Let v(y) = -734*y**2 + 465*y - 20. Let i(s) = -734*s**2 + 466*s - 25. Let u(r) = 4*i(r) - 5*v(r). Find the second derivative of u(m) wrt m.
1468
Let d(j) = -5*j**4 + 82*j**3 - 6*j + 634. Let q(t) = -6*t**4 + 83*t**3 - 7*t + 634. Let r(x) = 7*d(x) - 6*q(x). Find the first derivative of r(o) wrt o.
4*o**3 + 228*o**2
Let x = -20 - -45. What is the derivative of 19 + x*v**2 - 5*v**2 - 24*v**2 - 30*v**2 wrt v?
-68*v
What is the third derivative of -99*p**3 + 477*p**3 + 203*p**2 - 160*p**3 wrt p?
1308
Let b be 6/4 + (-5150)/(-20). What is the third derivative of -244*t**3 + 3 - 3 - 3*t**2 + b*t**3 wrt t?
90
Let r = 11 + -9. Suppose -9 + 3 = -r*h. Differentiate 0*o**4 + 2*o**4 - h*o**4 - 3 wrt o.
-4*o**3
Let b(x) be the second derivative of 5*x**6/6 - x**3/3 + 117*x**2/2 + x. What is the first derivative of b(m) wrt m?
100*m**3 - 2
Let j(q) be the first derivative of 0*q - 1/8*q**4 + 7 + 5/3*q**3 + 3/40*q**5 + 0*q**2. Let f(i) be the third derivative of j(i). Differentiate f(k) wrt k.
9
Let t(c) = 6*c**3 - 343*c**2 + 27*c + 181. Let a(b) = -2*b**3 + 114*b**2 - 10*b - 60. Let i(f) = 8*a(f) + 3*t(f). Find the second derivative of i(w) wrt w.
12*w - 234
Let i(j) = -j**2 + 7*j - 4. Let o be i(5). Let k(n) = -21*n + 28. Let q(b) = -22*b + 29. Let x(z) = o*k(z) - 7*q(z). Find the first derivative of x(c) wrt c.
28
Let u(v) be the second derivative of v**6/6 + v**4/4 - v**3/6 + 14*v**2 + 86*v. What is the second derivative of u(m) wrt m?
60*m**2 + 6
Let m(t) be the first derivative of 2*t**7/105 - t**6/72 + 2*t**3 + 3. Let a(l) be the third derivative of m(l). Find the third derivative of a(w) wrt w.
96
Let x(b) be the third derivative of 329*b**5/60 - b**4/8 - 4*b**3/3 + 367*b**2 - 1. Find the second derivative of x(s) wrt s.
658
Let v be 132/8*(-4)/(-3). Suppose 0 = 5*u + 2*z - 7, 2*u + 2*z = 6*z + v. What is the second derivative of p + p**2 - 5*p + u*p wrt p?
2
Let a(g) = 103*g + 100. Let w(x) = -13700*x - 13300. Let z(j) = 400*a(j) + 3*w(j). Differentiate z(p) with respect to p.
100
Let r(s) = -s**2 + 3*s + 21. Let j be r(6). What is the third derivative of -8*d**3 - 14*d**j - 17*d**2 - 10*d**2 wrt d?
-132
Let b(c) be the first derivative of -135*c**2/2 + 117*c + 119. Differentiate b(u) wrt u.
-135
Let q(r) be the first derivative of -13*r**4 + 4*r**3/3 + 420*r - 326. Find the first derivative of q(w) wrt w.
-156*w**2 + 8*w
Let h(q) = 1. Let c(a) = -5*a - 10. Let f(x) = -4*c(x) - 20*h(x). Let d(l) = 540*l + 540. Let i(b) = 2*d(b) - 55*f(b). Differentiate i(o) wrt o.
-20
Let m(g) be the third derivative of -37*g**4/6 + 155*g**3/2 - 97*g**2. Differentiate m(k) with respect to k.
-148
Let j = 19 + -17. What is the third derivative of -8*w - 13*w**3 - 11*w**j + 0*w**3 + 8*w wrt w?
-78
What is the second derivative of -44*z**2 - 10*z**2 + 19 - 10 + 8 - 10*z - 136*z**2 wrt z?
-380
What is the second derivative of -15*w**2 - 2*w**2 - 38*w**2 - 45*w wrt w?
-110
Suppose 7*d - 8 = 6*d - 5*q, 3*q + 8 = d. Find the second derivative of v - d*v - 5*v - 6*v**2 wrt v.
-12
Let a(q) = 61*q**4 + 5*q**3 - 5*q**2 + 5*q - 95. Let n(l) = l**3 - l**2 + l + 2. Let s(x) = 2*a(x) - 10*n(x). Find the first derivative of s(f) wrt f.
488*f**3
Let m(k) be the first derivative of -13*k**6 - 59*k**3/3 - 123. Find the third derivative of m(l) wrt l.
-4680*l**2
Let p(t) be the second derivative of t**7/30 + 5*t**3/6 + 7*t**2 - 6*t. Let s(z) be the first derivative of p(z). What is the first derivative of s(b) wrt b?
28*b**3
Let j(a) be the first derivative of 0*a - 3*a**3 - 26 + 0*a**2 - 21/4*a**4. What is the third derivative of j(u) wrt u?
-126
Find the third derivative of 2*j**3 + 0*j**3 - 59*j**6 + 298*j**6 - 1 + 9*j**6 + 7*j**2 wrt j.
29760*j**3 + 12
Suppose -3*k = 13 - 22. Find the third derivative of 2*n**2 + 10*n**3 - 12*n**3 + 11*n**k - n**2 