l + 1
Let f(r) be the second derivative of 6*r**6 + 76*r**2 + 6*r + 16. Find the first derivative of f(j) wrt j.
720*j**3
Let o(x) be the first derivative of x**6/3 - 16*x**3/3 - 24*x**2 - 63. Find the second derivative of o(i) wrt i.
40*i**3 - 32
Let m(g) be the second derivative of 39*g - 2/3*g**6 + 0 + 0*g**2 + 0*g**3 + 10/3*g**4 + 0*g**5. What is the third derivative of m(b) wrt b?
-480*b
Let v(q) be the third derivative of -23*q**8/112 - 11*q**5/60 - q**4/24 - 18*q**2 + 2*q. What is the third derivative of v(l) wrt l?
-4140*l**2
Let x = 202 + -199. Let q(i) be the third derivative of 1/60*i**6 + 0 + 0*i**4 + 0*i**x - 3*i**2 + 2/15*i**5 + 0*i. What is the third derivative of q(s) wrt s?
12
Let w(d) be the second derivative of -17/6*d**3 + 0 + 5*d - 10*d**2. Differentiate w(q) with respect to q.
-17
Let h(q) = 2*q**3 + 68*q**2 - 6*q - 137. Let z(s) = s**3 + s**2 - 2*s - 1. Let k(p) = -h(p) + 3*z(p). What is the first derivative of k(w) wrt w?
3*w**2 - 130*w
Let v(g) be the first derivative of -147*g**4/4 + 273*g**2/2 - 276. Find the second derivative of v(m) wrt m.
-882*m
Let q(t) be the first derivative of -143*t**5/5 - t**2 + 90*t - 42. Differentiate q(z) wrt z.
-572*z**3 - 2
Let u(l) be the third derivative of -51*l**4/8 - 53*l**3/6 - 244*l**2 - 2*l. Differentiate u(q) with respect to q.
-153
Let l(q) be the first derivative of q**6/6 - 43*q**5/5 + 215*q**3/3 + 154. What is the third derivative of l(f) wrt f?
60*f**2 - 1032*f
Let m(s) = -2*s**4 + 3*s**4 + 6*s**2 - s**2 + 3 + 5*s + 2*s**4. Let k(g) = -4*g**4 - 6*g**2 - 6*g - 3. Let r(o) = -5*k(o) - 6*m(o). Differentiate r(a) wrt a.
8*a**3
Let v(o) = 1671*o + 75. Let x(f) = 836*f + 37. Let j(u) = -3*v(u) + 7*x(u). Differentiate j(l) with respect to l.
839
Let h(u) be the first derivative of -16*u**2 - 14 + 4*u**4 - 322*u**3 + 322*u**3 - 3*u**4. Find the second derivative of h(f) wrt f.
24*f
Let s(u) = -u + 432. Let h(g) = -g + 144. Let c(a) = -14*h(a) + 4*s(a). Differentiate c(v) wrt v.
10
What is the second derivative of 3*t**3 - 29*t - 8*t - 86*t + 6*t**4 + 11*t**3 - t**3 wrt t?
72*t**2 + 78*t
What is the third derivative of 109*a**2 - 1 + 25*a**3 + 1 - 45*a**2 + a - 133*a**3 wrt a?
-648
Let s(o) be the second derivative of 0 - 5*o + 0*o**3 + 1/2*o**2 - 5/3*o**4. Differentiate s(k) wrt k.
-40*k
Suppose 5*b = 18 + 12. What is the first derivative of 2 + 6*z + 0 + b*z wrt z?
12
Let l(n) be the first derivative of 11*n**8/56 + n**4/12 - 26*n - 18. Let y(r) be the first derivative of l(r). Find the third derivative of y(t) wrt t.
1320*t**3
Let x(f) be the second derivative of -3/2*f**3 + 0 + f**4 + 0*f**2 + 5*f. What is the second derivative of x(a) wrt a?
24
Find the third derivative of 2*u**3 - 27422*u**4 + 27487*u**4 - 80*u - 3*u**2 - 87*u wrt u.
1560*u + 12
Let r be 1*-1*(-17)/(-1). Let o = r + 21. Find the first derivative of 2 + 7*c**4 - o + 1 + 2 wrt c.
28*c**3
Let f(o) be the second derivative of 0*o**2 + 0*o**3 - 4/3*o**4 + 0*o**6 + 0*o**5 + 0 - 1/6*o**7 - 12*o. Find the third derivative of f(v) wrt v.
-420*v**2
Let o(n) be the third derivative of 0*n + 0 + 0*n**6 - 9/20*n**5 + 0*n**4 + 3/70*n**7 - 21*n**2 + 0*n**3. Find the third derivative of o(m) wrt m.
216*m
Suppose 68 = 7*b - 16. What is the third derivative of 4 + b*s**2 - 4 - 10*s**3 + 0 wrt s?
-60
Let j(g) be the third derivative of 91*g**4/6 + 211*g**3/6 + 11*g**2. What is the derivative of j(b) wrt b?
364
Let l(n) = -n**2 + 2*n + 4. Let h be l(3). Let f(v) = 5*v**3 + 1. Let r be f(h). Find the first derivative of -r*m - 1 - 7 + 4 wrt m.
-6
Let a(d) be the first derivative of -6*d**3 + 45*d + 85. Differentiate a(v) wrt v.
-36*v
Let z(b) = -163*b**3 - 5*b + 14. Let j(a) = 82*a**3 + 3*a - 7. Let g(t) = -11*j(t) - 6*z(t). What is the second derivative of g(o) wrt o?
456*o
Let f(m) = -m**3 - 3*m - 2. Let i be f(-1). Let z(k) be the first derivative of 6*k - i - 7/2*k**2. What is the first derivative of z(y) wrt y?
-7
Suppose -4*w + 5*w = 3. What is the second derivative of -24*t + 11*t + 14*t - 7*t**w wrt t?
-42*t
Let d(f) be the first derivative of -458*f**7/7 - 187*f**3 - 264. Find the third derivative of d(l) wrt l.
-54960*l**3
Let z(a) = a**4 - 12. Let w(j) be the third derivative of j**7/210 - 23*j**3/6 - 2*j**2. Let q(h) = 3*w(h) - 5*z(h). What is the first derivative of q(p) wrt p?
-8*p**3
Let n(y) be the first derivative of 11*y**3 + 3*y**2/2 + 10*y - 163. What is the second derivative of n(w) wrt w?
66
Let b(o) = 7*o**2 + 1. Let j be b(-1). Suppose 4*m = 8*m - j. What is the second derivative of 0*u - m*u + u + u**2 wrt u?
2
Let v(f) be the second derivative of -f**5 + 0*f**2 + 0*f**3 + 7/4*f**4 + 0 + 6*f. Find the third derivative of v(z) wrt z.
-120
Let i(g) be the first derivative of -17*g**4/2 - g**3/3 - 277*g + 107. Differentiate i(m) with respect to m.
-102*m**2 - 2*m
Let w(d) be the third derivative of 0*d**6 + 0 - 1/3*d**3 + 0*d**4 + 0*d - 28*d**2 + 4/35*d**7 + 0*d**5. Find the first derivative of w(u) wrt u.
96*u**3
Let d(p) = -512*p**2 - p + 833. Let o(q) = -1. Let m(c) = -d(c) + 10*o(c). Find the first derivative of m(i) wrt i.
1024*i + 1
Let j(l) = -l**3 - 4*l**2 + 4. Let c be j(-4). Find the third derivative of 6*z**4 + 9*z**c - 15*z**4 - 6*z**2 - 6*z**5 wrt z.
-360*z**2
Let w(d) = d**3 + 17*d**2 - 5. Let l(f) = -16*f**2 + 4. Let n be 247/57 - (-2)/(-6). Let a(y) = n*w(y) + 5*l(y). Find the third derivative of a(x) wrt x.
24
Let l be (-1)/(1 - 8/10). Let m(d) = d**3 + 5*d**2 + 3*d. Let a(n) = -n**3 + n. Let o(x) = l*m(x) + 15*a(x). Find the third derivative of o(y) wrt y.
-120
Let l(f) be the first derivative of 40*f**3/3 - 62*f + 49. Find the first derivative of l(r) wrt r.
80*r
What is the derivative of -12 + 98*h + 0 + 58 + 44 wrt h?
98
Find the second derivative of -238*d**2 - 67 - 106*d**2 + 69 + 27*d wrt d.
-688
Let j(m) = m**2 - 7. Let b be j(-4). What is the second derivative of -b*c**5 - 6*c**5 - 7*c + 3*c wrt c?
-300*c**3
Suppose 19 = 2*f - 5*n, n + 6 = 3. Find the second derivative of -f*b + 7*b**4 + 4*b**4 + 3*b - 7*b wrt b.
132*b**2
Let p(s) be the first derivative of s**10/360 + 29*s**6/360 + 37*s**3/3 + 21. Let a(g) be the third derivative of p(g). Find the third derivative of a(r) wrt r.
1680*r**3
Let d(u) be the first derivative of -19 + 11/4*u**4 + 0*u**3 + 13*u + 0*u**2. Find the first derivative of d(z) wrt z.
33*z**2
Find the third derivative of 11*w**5 - 162*w**2 + 2*w**4 + 181*w**2 + 7*w**5 wrt w.
1080*w**2 + 48*w
Suppose -7*y = -0*y - 14. Let i(b) be the second derivative of -3/10*b**5 - 1/3*b**4 + 0 + b + 0*b**y + 0*b**3. What is the third derivative of i(x) wrt x?
-36
Let d(g) = 2 + g**2 - 4 + 2. Let v(x) = -x**2 + 4*x. Let o(y) = 6*d(y) + 3*v(y). What is the second derivative of o(j) wrt j?
6
Suppose -4*z - 1 = -9, -4*o = -5*z - 14. What is the third derivative of -2*m**6 + 2*m**6 + 4*m**2 - 6*m**o - 3*m**2 wrt m?
-720*m**3
Let r(j) = 40*j**4 + 47*j - 7. Let f(c) = 13*c**4 + 16*c - 2. Let v be (7 - 2)*2/5. Let u(a) = v*r(a) - 7*f(a). What is the second derivative of u(x) wrt x?
-132*x**2
Suppose -4*s + 6 = i, 2*s - 2*i - 12 = 2*i. Suppose m = 3*j - m - 62, s*j - 5*m = 56. Differentiate 13*h + 2 - j*h + 1 with respect to h.
-5
Let w(q) = 601*q**4 + 14*q**3 - 657*q + 7. Let d(f) = -300*f**4 - 6*f**3 + 328*f - 3. Let r(z) = 7*d(z) + 3*w(z). Find the second derivative of r(j) wrt j.
-3564*j**2
Suppose 3*s = -s + 16. Suppose 3*f = 0, -s*z - 5*f + 16 - 4 = 0. Find the third derivative of -h**z + 0*h**2 - 2*h**2 - h**3 - 3*h**2 wrt h.
-12
Suppose -7*f + 21 = -14. Differentiate 1 - 3 + f + 10*l**4 - 4 with respect to l.
40*l**3
Let b(m) = m**3 - m + 1. Let u(n) = 3*n - 3 + 14*n**3 - 6*n**3 + 13*n**3 + 17*n**2 - 6*n**3. Let p(d) = 3*b(d) + u(d). Find the third derivative of p(z) wrt z.
108
Let v(t) = 15*t - 10. Suppose 3*j - 4*i + 15 = 0, 2*j + 0 = -2*i - 10. Let d(k) = -8*k + 5. Let f(h) = j*d(h) - 2*v(h). Differentiate f(p) with respect to p.
10
Let g(b) = -27*b**2 + 8*b - 24. Suppose 3*w = -w - 12. Let d(r) = 9*r**2 - 3*r + 8. Let p(a) = w*g(a) - 8*d(a). Differentiate p(y) wrt y.
18*y
Suppose 3579 = -8*n + 11*n. Find the third derivative of -n*i - 9*i**6 - i**2 + 1193*i + 11*i**2 wrt i.
-1080*i**3
Let o(b) = 13*b**2 + 4*b + 6. Let v(x) = -12*x**2 - 5*x - 7. Let s be 6/5*(-4)/12*-1