
-5
Let r(j) = j**3 + j + 1. Let u(p) = p**3 + 12*p**2 + 2*p + 2. Suppose 12 = 8*f - 4. Let n(q) = f*r(q) - u(q). What is the third derivative of n(i) wrt i?
6
Let t be (-3 + 64/28)/(3/(-21)). Let s(q) be the first derivative of -6 + 0*q**2 + 0*q**4 + 4*q + 0*q**3 - 1/5*q**t. What is the first derivative of s(z) wrt z?
-4*z**3
Suppose 127 = -0*x + 5*x - l, -l = 5*x - 123. What is the first derivative of 16*j**3 - 2 + 6 + x*j**3 wrt j?
123*j**2
Let w(q) be the first derivative of 11*q**8/560 + q**6/72 - 8*q**3/3 - 8. Let f(b) be the third derivative of w(b). Find the third derivative of f(l) wrt l.
792*l
Let f(w) = 7*w**3 - 4*w**2 - 3*w + 139. Let t(a) = 14*a**3 - 8*a**2 - 8*a + 275. Let q(u) = -5*f(u) + 2*t(u). What is the second derivative of q(l) wrt l?
-42*l + 8
Suppose -2*s = -7 - 1. Suppose r - 5*y + 2*y = 7, -2*r + s*y = -14. Differentiate 3 + r*p**4 - 5*p**4 + 3*p**3 - 3*p**3 wrt p.
8*p**3
Let y(i) = -348*i**2 - 262. Let f(l) = -3*l**2 + 2. Let z(n) = 3*f(n) + y(n). Differentiate z(x) with respect to x.
-714*x
What is the derivative of 11*n - 17 + 13 + 25 + 60*n wrt n?
71
What is the first derivative of 11*y**2 + 12*y**2 + 61 + 27*y**2 + 58 wrt y?
100*y
Suppose -4*t = -10*t + 12. Find the third derivative of -6*g**3 - 20*g**t + 7*g**2 - 2*g**3 wrt g.
-48
Let w(q) = 175*q**3 + 4*q**2 + 3*q + 458. Let h(d) = -178*d**3 - 3*d**2 - 2*d - 459. Let u(p) = -4*h(p) - 3*w(p). Differentiate u(v) wrt v.
561*v**2 - 1
Let t(h) = 5*h**2 - h + 1. Let n(y) = 37*y**3 + 21*y**2 - 2*y - 41. Let c(i) = n(i) - 2*t(i). What is the third derivative of c(q) wrt q?
222
Let x(c) be the third derivative of -1/3*c**3 + 0*c**4 + 0 - 2*c**2 + 2/15*c**5 + 0*c. Find the first derivative of x(y) wrt y.
16*y
Let d be (-13)/104 + 33/8. What is the second derivative of -8*h + d*h + 5*h + 26*h**2 wrt h?
52
Find the first derivative of -347 - 255 + 26*x**2 + 81 - 24*x**2 - 254*x + 49 wrt x.
4*x - 254
Suppose -10*z + 7*z = -6. Find the second derivative of 10*n**2 + 6*n**z - 5*n - 17*n**2 wrt n.
-2
Let n(h) = 90*h**4 - 5*h**3 - 9*h + 11. Let o(t) = 44*t**4 - 3*t**3 - 4*t + 5. Let a(g) = 3*n(g) - 5*o(g). Find the second derivative of a(j) wrt j.
600*j**2
Let i(r) be the third derivative of 0*r**5 + 0*r**4 - 14*r**2 + 0*r + 11/6*r**3 - 1/24*r**6 + 0. Differentiate i(k) with respect to k.
-15*k**2
Let s(p) = -3*p**2 + 23*p + 11. Let g be s(8). Suppose -3*c - 3 = -4*c. What is the third derivative of 40*i**3 - 39*i**c - g*i**2 - 3*i**2 wrt i?
6
Differentiate 79*c**3 - 51 - 13*c + 13*c wrt c.
237*c**2
Let o be 10 + 5 + -2 + -9 + 5. Find the first derivative of 6*z**3 - o*z**3 + 49 + 8*z**3 wrt z.
15*z**2
Find the third derivative of -7*a**6 + a**3 - a**6 - 22*a**2 + 5*a**3 + 4*a**6 wrt a.
-480*a**3 + 36
Suppose 11 - 13 = -f. Find the second derivative of 2*t - t**f + 2*t + 5*t - t wrt t.
-2
Let x(b) = -665*b**2 + 300*b - 22. Let z(h) = 332*h**2 - 149*h + 12. Let q(s) = -6*x(s) - 11*z(s). What is the second derivative of q(c) wrt c?
676
Let y(o) = -o**2 + o - 1. Let i(b) = 38*b**3 + 18*b**2 + 4*b - 7. Let t(f) = i(f) - 4*y(f). What is the third derivative of t(z) wrt z?
228
Let p be 14/3 - (-3 - 22/(-6)). What is the derivative of -44*n**p - 2 - 5 + 76*n**4 wrt n?
128*n**3
Let o(v) be the first derivative of 0*v**2 - 42*v + 0*v**3 + 47 - 1/2*v**4. Differentiate o(j) with respect to j.
-6*j**2
Let c = 513 + -513. Let x(p) be the first derivative of 7/2*p**2 + 0*p**3 + 0*p + 5 + 2/3*p**6 + 0*p**4 + c*p**5. What is the second derivative of x(a) wrt a?
80*a**3
Let m(y) be the third derivative of 0*y + 0*y**5 - 19/3*y**3 + 1/42*y**7 + 0 + 0*y**4 + 45*y**2 + 0*y**6. Differentiate m(c) with respect to c.
20*c**3
Let t(k) = k + 10. Let z be 18/(-4) - 1/2. Let n be t(z). Find the second derivative of 5*s**n - 4*s - 10*s + 16*s wrt s.
100*s**3
Find the third derivative of -7*f**3 + 15*f**5 - 56*f**2 + 27*f**2 - 338*f**2 wrt f.
900*f**2 - 42
Let i(s) = 90*s**3 - 81*s**2 - 2*s + 3. Let p(r) = 2*r**3 - r**2 - r + 1. Let l(d) = -i(d) + 2*p(d). What is the third derivative of l(g) wrt g?
-516
Let m(r) = -14*r**3 + 4*r**2 + 4. Let b(p) = -8 - 7*p**2 + 25*p**3 - 32*p**3 + 34*p**3. Let l(a) = 4*b(a) + 7*m(a). Differentiate l(d) with respect to d.
30*d**2
Differentiate 2*o**4 + 5*o**2 - 263 + 139 - 55*o**2 - 108 wrt o.
8*o**3 - 100*o
Suppose -2*a + 5 + 3 = 0. Find the third derivative of 7*n**4 + 3*n**4 + 5*n**4 + a*n**2 wrt n.
360*n
Let t(v) be the first derivative of -v**10/1008 - 11*v**6/360 - v**3/3 - 9. Let f(c) be the third derivative of t(c). Find the third derivative of f(q) wrt q.
-600*q**3
Let n(z) be the first derivative of 2*z**7/21 - 8*z**3/3 + 34*z - 32. Let u(i) be the first derivative of n(i). What is the second derivative of u(d) wrt d?
80*d**3
Let v be -15*(4 + -3*2 + 1). What is the third derivative of -v*y**4 + 67*y**3 - 141*y**3 + 74*y**3 + 32*y**2 wrt y?
-360*y
Suppose 4*k = 4*h + 132, -5*h + 46 = 2*k - 13. Let u = k - 20. Find the third derivative of 7*m**2 - u*m + 3*m**3 - 14*m + 26*m wrt m.
18
Let a(y) be the first derivative of -49*y**3 - 42*y**2 + 162. Find the second derivative of a(u) wrt u.
-294
Suppose 5*l - 10 = -0*l. Find the third derivative of 8*h**l - 52*h + 52*h - 11*h**3 wrt h.
-66
Let o(p) be the first derivative of 3*p**4/4 + 5*p**3/3 - 11*p**2/2 + p - 19. What is the second derivative of o(b) wrt b?
18*b + 10
Let q be (-8)/(-3) - 6/(-18). Let k(c) be the first derivative of -q*c + 7*c - 7*c - 2*c + 2*c**3 - 2. What is the derivative of k(h) wrt h?
12*h
Let z(i) = i - 71*i**3 + 62*i**4 + 66*i**3 + 56 - i. Let g(r) = -31*r**4 + 3*r**3 - 28. Let u(m) = -5*g(m) - 3*z(m). Find the first derivative of u(a) wrt a.
-124*a**3
What is the second derivative of 15*a**2 + 139 - a**2 + 3*a**3 - 4*a**3 - 2*a + 5*a - 2*a wrt a?
-6*a + 28
Let r(h) = -329*h**3 - 2*h**2 - 6*h - 3. Let f(c) = -c**2 + 2*c. Let p(x) = 3*f(x) + r(x). What is the third derivative of p(u) wrt u?
-1974
Let f(j) be the second derivative of j**7/14 + 7*j**5/60 + 4*j**2 - 15*j. Let c(g) be the first derivative of f(g). What is the third derivative of c(y) wrt y?
360*y
Let j(z) be the first derivative of 5*z**4/12 - 7*z**3/3 - 10*z + 5. Let d(k) be the first derivative of j(k). Find the second derivative of d(c) wrt c.
10
Suppose 10*w = 2*w. What is the second derivative of -2*f**4 - 2*f - f**2 + w*f**4 + f**2 wrt f?
-24*f**2
Suppose 5*m - l - 2*l - 35 = 0, -5*m + 2*l + 30 = 0. What is the second derivative of m + 7*o - 3 - 1 + 11*o**2 wrt o?
22
Let s(r) be the first derivative of -39*r**4 + 2*r**5 + 39*r**4 + r**2 + 0*r**2 - 1. Find the second derivative of s(z) wrt z.
120*z**2
Let d(o) = 12*o**3 + 12*o**2 + 6*o. Let p(x) be the first derivative of x**3/3 + 1. Let f(l) = d(l) - 12*p(l). Find the second derivative of f(g) wrt g.
72*g
Let h = -1434 + 1438. Let s(n) be the third derivative of 0*n + n**2 + 0*n**3 - 1/24*n**6 + 0 - 5/24*n**h + 0*n**5. What is the second derivative of s(w) wrt w?
-30*w
Let p(x) be the first derivative of x**5/5 - 8*x**3/3 - 18*x - 55. Find the first derivative of p(j) wrt j.
4*j**3 - 16*j
Let y = 111 + -109. What is the third derivative of 26*p**2 + 12*p**3 - p + 7*p**3 - y*p**4 - 9*p**3 wrt p?
-48*p + 60
What is the second derivative of 15*p**2 - 541*p + 57*p**2 + 67*p - 17*p**2 + 319*p**2 wrt p?
748
Suppose 13 = -0*s + s. Find the second derivative of -22*c**3 + 0*c**2 - 12*c + 0*c**2 + s*c**3 wrt c.
-54*c
Suppose -l = -4*r + 16, -r + l = -4*r + 12. Let i be (1 - r)*(-4)/12. Differentiate 5 - 3*j**4 - i + 1 with respect to j.
-12*j**3
Suppose 7*m - 3*b = 2*m + 22, -m - 4*b = -9. What is the second derivative of 12*z**4 + 12*z**4 - 19*z + m*z**4 - 6*z**4 wrt z?
276*z**2
What is the derivative of -16*j + 28*j - 52*j - 84 - 39*j + 2*j wrt j?
-77
Let v(q) = -2*q**2 - 2. Let u(o) = -39*o**2 + 50. Let i(m) = 2*u(m) + 22*v(m). What is the derivative of i(b) wrt b?
-244*b
Let s(r) be the first derivative of 0*r**2 + 10/3*r**3 - 17 + 19*r. Find the first derivative of s(n) wrt n.
20*n
Let x(t) = 129*t + 1046. Let y be x(-8). Let n(u) be the first derivative of -y*u - 5 + 0*u**2 + 10/3*u**3. Find the first derivative of n(a) wrt a.
20*a
Let r(z) be the first derivative of z**6/2 + 13*z**5/5 - z**3/3 - z**2/2 - 26. Find the third derivative of r(h) wrt h.
180*h**2 + 312*h
Let q(p) 