
3*x**2
Let v(k) be the third derivative of 0 + 0*k**4 + 3*k**2 + 0*k + 0*k**6 - 1/2*k**3 + 0*k**5 - 1/42*k**7. Find the first derivative of v(o) wrt o.
-20*o**3
What is the third derivative of 29*a**3 - 4*a**2 + 0*a**2 + 8*a**2 - 5*a**2 wrt a?
174
Let k be 3/12 + 19/4. Suppose -2*r = p - 7, 0*r = -3*r - k*p + 7. What is the second derivative of 5*y**4 - y - r + 4 wrt y?
60*y**2
What is the third derivative of 8495*w**4 + 5*w + 6*w**6 - w**2 - 8500*w**4 - 19*w wrt w?
720*w**3 - 120*w
Let o(m) be the third derivative of 11*m**9/504 + 31*m**5/60 - 25*m**2. Find the third derivative of o(z) wrt z.
1320*z**3
What is the first derivative of -102 - 4*k**4 + 95 + 2*k**4 wrt k?
-8*k**3
Let o(l) = l**2 + 5*l + 4. Let c be o(-4). Let p(d) be the first derivative of 0*d**3 - 1 + c*d + 1/2*d**4 - 1/2*d**2. Find the second derivative of p(g) wrt g.
12*g
Let w be (-27)/(-6) + 1/2. Find the second derivative of 0*n + 7*n + n**w - 2*n wrt n.
20*n**3
Differentiate 18*p**4 - 3*p**2 + 11*p**2 - 26 - 8*p**2 wrt p.
72*p**3
Let d(y) = y**4 + y**3 - y**2 + y - 1. Let f(m) = m**4 - 4*m**3 + 4*m**2 - 4*m + 33. Let p(z) = -4*d(z) - f(z). Find the first derivative of p(c) wrt c.
-20*c**3
Let q(f) = -19*f**6 - 3*f**4 + 2*f**2 - 3. Let i(u) = 57*u**6 + 8*u**4 - 5*u**2 + 8. Let p(r) = -3*i(r) - 8*q(r). Find the third derivative of p(b) wrt b.
-2280*b**3
Let y(x) be the second derivative of -x**2 - x + 1/3*x**3 + 0. Differentiate y(g) with respect to g.
2
What is the second derivative of 0*w + 0*w - 2*w - w**3 + 5*w**3 wrt w?
24*w
Let a be 7/2*16/28. Find the third derivative of 2*v - 3*v**2 + 4*v**3 - 2*v + 4*v**a wrt v.
24
What is the second derivative of -9*m**2 - 703 + 703 + 2*m wrt m?
-18
Let b = 82 + -82. Let f(k) be the second derivative of b + 4*k + 1/2*k**2 - 1/6*k**4 + 0*k**3. Differentiate f(y) with respect to y.
-4*y
Let r(s) be the first derivative of -10*s**3/3 + 5*s**2 - 2. Find the second derivative of r(y) wrt y.
-20
Find the first derivative of -20*r - 20*r + 14*r + 3 wrt r.
-26
What is the third derivative of 13*w**2 - w**5 + 0*w**5 - 2*w**2 wrt w?
-60*w**2
Suppose -5*m + 0*i - 3*i + 19 = 0, 2*m = -3*i + 13. What is the derivative of -k**2 + 2 + k**2 - 4*k**2 + m wrt k?
-8*k
Find the second derivative of -11*w - 3*w**5 + 159 - 159 wrt w.
-60*w**3
Let z(c) = -c**4 - c**3 - c**2 + c - 1. Let n(p) = -3*p**4 - 6*p**3 - 6*p**2 + 13*p - 6. Let l(s) = n(s) - 6*z(s). Find the second derivative of l(b) wrt b.
36*b**2
Differentiate 5 + 11*c**2 - c + c - 20*c**2 wrt c.
-18*c
Let j(o) be the first derivative of 11*o**6/2 - o**3 + 24. Find the third derivative of j(p) wrt p.
1980*p**2
Let v(s) = s**2 - s. Let f(t) = -t**3 - 3*t**2 + 4*t. Let z = -2 + 4. Let m(a) = z*f(a) + 6*v(a). Find the second derivative of m(p) wrt p.
-12*p
Find the second derivative of 14 - f**2 - 10 - 7*f - 4 wrt f.
-2
Let b(l) be the third derivative of 1/24*l**6 + 6*l**2 + 5/6*l**3 + 0*l**5 + 0*l**4 + 0*l + 0. What is the derivative of b(z) wrt z?
15*z**2
Let r(m) be the first derivative of -28*m**5/5 - 2*m**3/3 + 20. What is the third derivative of r(j) wrt j?
-672*j
Let r(m) = -m**2 - m + 1. Let l(w) = w**2 + 2*w - 1. Let c(j) = 3*l(j) + 6*r(j). What is the first derivative of c(o) wrt o?
-6*o
Suppose w - 4*w = 2*q - 14, -8 = -2*w - q. Let g = -7 - -12. Find the first derivative of -g*t**3 - 2 + 1 + w*t**3 wrt t.
-9*t**2
Suppose s + 0*w = 2*w + 8, -5*s + 26 = -3*w. Find the first derivative of -g**3 + 12 + 4*g**2 - s*g**2 - 8 wrt g.
-3*g**2
Suppose 3*v + 3*i = 0, -5*v + 3*i - 10 = -2*i. Let x be v/(12/(-9) - -1). Find the first derivative of 2 - x*j**3 + 0 - 1 wrt j.
-9*j**2
What is the second derivative of -7*p + p**4 + 4*p**4 + 3*p wrt p?
60*p**2
Let v = 47 + -27. Differentiate -7 - v*y + 33*y - 18*y with respect to y.
-5
Let n(b) be the third derivative of 7*b**6/60 - b**5/12 + 13*b**2. What is the third derivative of n(s) wrt s?
84
Let o(s) = 5*s**5 - 2 - 4*s**3 - 2 + s**5. Let l(f) = 7*f**5 - 5*f**3 - f**2 - 5. Let d(w) = 4*l(w) - 5*o(w). What is the third derivative of d(y) wrt y?
-120*y**2
Suppose 0*f + f = 2. Let r(y) = -y**3 + 13*y**2 - 13*y + 16. Let v be r(12). Find the second derivative of f*z**2 - 2*z**4 - 2*z**2 - v*z wrt z.
-24*z**2
Let y(g) = -g**2 - 8*g - 5. Let f be y(-7). What is the derivative of 6*p**2 - 8*p**f - 3 + 4 wrt p?
-4*p
Let h(k) be the second derivative of -31*k**8/56 - 11*k**4/12 + k. Find the third derivative of h(u) wrt u.
-3720*u**3
Let a(b) be the first derivative of 3*b**7 - 58*b**3/3 - 7. What is the third derivative of a(l) wrt l?
2520*l**3
What is the second derivative of 7*c**2 - 41*c + 5*c**2 + 28*c wrt c?
24
Let s(p) be the first derivative of -4*p**2 + 0*p + 0*p**3 - 2 + 0*p**5 - 1/3*p**6 + 0*p**4. What is the second derivative of s(i) wrt i?
-40*i**3
What is the second derivative of -2*i + 2*i**2 - 37 - 7*i**4 + 45*i**4 - 26*i**4 + i**2 wrt i?
144*i**2 + 6
Let s(t) be the second derivative of -3*t**5/4 + 11*t**3/3 + 19*t. What is the second derivative of s(r) wrt r?
-90*r
Find the second derivative of -29*k - 9*k**5 - 3*k - 22*k**5 - 13*k**5 wrt k.
-880*k**3
Let j(p) = -p**2 - 6*p + 2. Let x be j(-6). Let z = 5 + -3. What is the third derivative of -x*l**2 + 3*l**2 + 0*l**z + 2*l**4 - l**4 wrt l?
24*l
Find the first derivative of 1076 + 5*j**3 - 1095 + 3*j**3 wrt j.
24*j**2
What is the second derivative of 6*d**2 + 4*d**2 - 4*d**2 + 10*d wrt d?
12
Let y(n) = -n**4 + n**3 + n**2 + n + 1. Let c(k) = -5*k**4 - 4*k**3 - 4*k**2 - 3*k - 4. Let p(h) = -c(h) - 4*y(h). What is the second derivative of p(d) wrt d?
108*d**2
Let a(q) be the second derivative of -5/42*q**7 + 0*q**6 + 0*q**2 - 1/4*q**4 + 0*q**5 + 6*q + 0*q**3 + 0. Find the third derivative of a(v) wrt v.
-300*v**2
Let m(i) be the first derivative of -4*i**5/5 - 9*i**2/2 + 1. What is the second derivative of m(r) wrt r?
-48*r**2
Let u(o) = -o**3 + o**2 - o - 1. Let g = -8 + 5. Let a(x) = x**4 + 3*x**3 - 3*x**2 + 3*x + 5. Let c(i) = g*u(i) - a(i). Find the first derivative of c(t) wrt t.
-4*t**3
Let z = 10 + -8. Find the third derivative of g**4 - 2*g**z + 3*g**4 - g**4 wrt g.
72*g
Let d be (4/(-10))/((-72)/30). Let c(i) be the second derivative of -1/2*i**2 - d*i**3 - 2*i + 0. Differentiate c(h) with respect to h.
-1
Let a(s) = -s**2 - 19 + 3*s**2 + s**2. Let l = 0 - 7. Let h(c) = c**2 - 6. Let b(f) = l*h(f) + 2*a(f). What is the first derivative of b(i) wrt i?
-2*i
Let f(v) be the second derivative of 6*v + 0*v**4 - 3/2*v**3 - 4/15*v**6 + 0*v**2 + 0 + 0*v**5. What is the second derivative of f(i) wrt i?
-96*i**2
What is the second derivative of 5*q**3 - 17*q - 7*q**2 + q**2 + 6*q**2 wrt q?
30*q
Suppose -c = -2*l - 8, 10 + 16 = -l - 5*c. Let s be -1 + 9 - l/(-3). What is the third derivative of 4*y**s - 3*y**2 + 2*y**2 - 2*y**6 wrt y?
240*y**3
Suppose 43 = -5*j - 3*c + 113, -c = -2*j + 28. Let l be 19/7 - (-4)/j. Differentiate o**2 + o**3 - o**2 + 2 + o**l with respect to o.
6*o**2
Let x(y) = -y**2 - 6*y + 8. Let g be x(-8). Let j be (g/(-10))/((-2)/(-5)). What is the third derivative of -3*l**3 + 19 + j*l**2 - 19 wrt l?
-18
Find the second derivative of 5*o + 5*o + 4*o + 8*o**4 wrt o.
96*o**2
Let k(z) = -11*z + 6. Let x(i) = -i - 1 + 0 + 3 - 1. Let t(j) = -k(j) + 2*x(j). Find the first derivative of t(o) wrt o.
9
Let t(s) be the second derivative of -s**9/252 - s**5/20 + s**2 - s. Let i(y) be the first derivative of t(y). Find the third derivative of i(l) wrt l.
-240*l**3
Let m(n) be the second derivative of 23*n**6/30 + 15*n**2/2 - 4*n. Find the first derivative of m(c) wrt c.
92*c**3
Let b = -4 + 6. What is the second derivative of 2*f**b + 2*f**2 - 3*f + 0*f**2 - f wrt f?
8
Find the third derivative of 25*h**2 + 0*h**3 - 2*h**3 - 40*h**2 wrt h.
-12
Let a(u) = u - 7. Let g be a(11). Let f(w) be the second derivative of 0 - 2*w + 0*w**2 + 1/3*w**3 + 1/6*w**g. Find the second derivative of f(s) wrt s.
4
Suppose l - 2*v = 2*l + 1, 2*l - 4*v + 26 = 0. Let f = -5 - l. Find the first derivative of 5 + 4*t**f - t**2 - 3 - 1 wrt t.
6*t
Let h(a) = -a**2 - a + 1. Let w(b) = -2*b**2 + 3*b - 6. Let t(j) = 6*h(j) + w(j). What is the second derivative of t(c) wrt c?
-16
Let i(s) be the second derivative of -3*s**5/20 - 5*s**2/2 - 9*s. What is the first derivative of i(w) wrt w?
-9*w**2
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