- 5*h - 23 = 2*v, -4*h - 1 = 5*v. Suppose 19*y - 28 = 86. Differentiate p - v + y*p**3 - p + 1 wrt p.
18*p**2
Let h(o) be the third derivative of -13*o**8/42 - 7*o**4/12 - o**3/3 - 96*o**2. What is the second derivative of h(p) wrt p?
-2080*p**3
Let x(z) = -z**2 + 13*z - 11. Let t be x(6). Differentiate 16*l**2 + 39 - t + 18*l**2 with respect to l.
68*l
Suppose -4*i - 530 = -534. Let z(r) be the first derivative of 3*r**4 + 0*r - 8/3*r**3 + 0*r**2 - i. What is the third derivative of z(x) wrt x?
72
Let f(z) = -8*z**4 + 3*z**3 - 23*z**2 + 3*z + 54. Let l(m) = 2*m**4 - m**3 - m + 1. Let a(q) = -f(q) - 3*l(q). Find the first derivative of a(h) wrt h.
8*h**3 + 46*h
Let u(r) = -42*r + 11. Let t(l) = 2*l - 2. Let i(q) = -24*t(q) - 3*u(q). Differentiate i(s) with respect to s.
78
Let g(s) = -s**3 + 7*s**2 + 10*s - 12. Let w be g(8). What is the second derivative of -3*h - 7 + 5*h**4 + 11 - w wrt h?
60*h**2
Let w(a) = 3*a + 2. Let r be w(-3). Let o(i) = -i**2 - 6*i + 9. Let k be o(r). What is the third derivative of 5*h**k - 51*h**5 + h**2 + 55*h**5 wrt h?
240*h**2
Let r(i) = -6*i + 8. Let y(a) be the third derivative of -a**3/6 - 13*a**2. Let b(d) = 2*r(d) + 6*y(d). What is the first derivative of b(c) wrt c?
-12
Let o(b) = -13*b**3 + 35*b**2 - 5*b. Let f(t) = 7*t**3 - 19*t**2 + 2*t. Let i(v) = 5*f(v) + 2*o(v). What is the third derivative of i(x) wrt x?
54
Let s = 7 - 0. Suppose q - s*q + 138 = 0. Find the second derivative of q - 23 - 9*w + 2*w**5 wrt w.
40*w**3
Let q(c) be the first derivative of 331*c**4/2 + 41*c**2 - 2*c - 394. Find the second derivative of q(r) wrt r.
3972*r
Let q be (-5)/(-2)*(-8)/(-10). Find the third derivative of 14 - 4*n**6 - 4*n**q - 14 wrt n.
-480*n**3
Let a be 2 + (-1 - (3 + -5)). Let j be a - 2 - -11*1. Find the third derivative of j*y**4 - 18*y**4 + 14*y**4 + 4*y**2 wrt y.
192*y
Let l(k) = k**3 - 3*k**2 + 8*k - 1. Let u be l(4). Find the third derivative of 32*x**2 + 19 - 34 + 15 - u*x**4 wrt x.
-1128*x
Suppose -197*c = -173*c - 120. Let s(v) be the third derivative of -1/30*v**c - 8*v**2 + 0*v - 1/6*v**3 + 0*v**4 + 0. Differentiate s(d) wrt d.
-4*d
Let u = 6 + 0. Find the first derivative of 0*x - u + 2 + 5*x wrt x.
5
Let f = -829 - -833. Let s(g) be the first derivative of -7 - 1/2*g**f + 0*g**2 + 0*g - 7/3*g**3. What is the third derivative of s(h) wrt h?
-12
Let k be 478/210 + 126/2205. Let n(b) be the first derivative of 0*b**2 + 7 + k*b**3 + 0*b + 5/2*b**4. What is the third derivative of n(r) wrt r?
60
Let y(v) = -v**3 + v**2 + v + 1. Let q be y(-1). What is the second derivative of 6*m + 5*m**q - m**2 + 12*m**2 wrt m?
32
Let g(u) be the third derivative of 0*u - 11*u**2 + 0 + 1/8*u**4 + 13/60*u**5 + 0*u**3. Find the second derivative of g(a) wrt a.
26
Let b(j) = j + 1. Let q be b(6). Suppose -3*f + 17 = -l, -4*f - 4*l + 3*l + 11 = 0. Find the first derivative of q + 3*z**4 - 2 - z**f + 4*z**4 wrt z.
24*z**3
Suppose -6*s + 10 = -s. Suppose 65 = 9*u + 38. Find the third derivative of 4*t**s + 8*t**u - 2*t**3 - 2*t**2 wrt t.
36
Let f = -170 - -170. Let u(l) be the third derivative of 1/24*l**6 + f*l**5 + 2/3*l**3 + l**2 + 0*l + 0 + 0*l**4. What is the first derivative of u(p) wrt p?
15*p**2
Let m(f) = -11*f**2 - f + 1. Let o be m(1). Let x = o + 12. Differentiate 2*d**3 + 21*d**2 + x - 21*d**2 with respect to d.
6*d**2
Suppose -g - 3*g = -8. Suppose 0 = q + 6*l - 3*l - 13, -2*l = -6. What is the third derivative of -g*m**3 + 8*m**3 + q*m**2 - 7*m**2 wrt m?
36
Suppose 54 + 38 = 4*v. What is the second derivative of -v*t**4 + 18 + t + 140*t**2 - 140*t**2 wrt t?
-276*t**2
Suppose 0 = k + 2*k - 42. Let m = -10 + k. What is the second derivative of -4*q**m - 6*q - q - 2*q**4 + q**4 wrt q?
-60*q**2
Let k(z) = -36*z**4 - 7*z**3 + 38*z**2 + 1. Let b(h) = -2*h**3 - h**2 + 1. Let y(m) = -b(m) + k(m). Find the third derivative of y(w) wrt w.
-864*w - 30
Let s be 0/1 + 2 + 1. Find the first derivative of -2*k - s*k - k - 10 wrt k.
-6
Let i(c) = c**2 - 13*c - 37. Let n be i(15). Let w = n - -10. Find the second derivative of -7*v**w - 6*v + 9*v - 8*v wrt v.
-42*v
What is the third derivative of 98*h**4 + 6*h**6 - 75*h**4 + 42*h**2 - 65*h**2 - 172*h**2 wrt h?
720*h**3 + 552*h
Let f(t) be the first derivative of -47*t**3/3 + t**2/2 - 5*t + 111. Differentiate f(h) with respect to h.
-94*h + 1
Let x(a) be the third derivative of 0 + 1/24*a**4 + 3/20*a**5 - 1/6*a**3 - 6*a**2 + a. What is the second derivative of x(o) wrt o?
18
Suppose 3*n + 7 - 25 = 0. Suppose -m + n = y, -m - 3*m - y = -12. What is the third derivative of 7*a**m + 2*a**4 - 3*a**4 + a**4 + a**4 wrt a?
24*a
Let g be (-174)/4*8/(-6). Let q be 4/(-18) - g/(-18). What is the first derivative of -2 - 2*o**4 + q*o**4 - 3 + 0 wrt o?
4*o**3
Suppose -c = c - 58. What is the second derivative of 6*l**5 + 4*l - 3*l**5 + 12*l - c*l wrt l?
60*l**3
Let i = -5 - -9. Suppose 2*u - 3*q - 2*q = -1, 2*u = i*q. What is the derivative of -4 + 0*p - u*p + 13 wrt p?
-2
Let o(t) be the third derivative of -7*t**6/8 + t**5/15 + 14*t**4/3 + 1017*t**2. What is the third derivative of o(i) wrt i?
-630
Let l(w) = -2*w**2 - 15*w + 21. Let h(u) = -u**2 - 8*u + 11. Let x(a) = 7*h(a) - 3*l(a). Let v be x(-12). Differentiate 8*z**v - 2 + 9 - 2 wrt z.
16*z
Find the first derivative of 47 - 33*h**2 + 29 + 55*h**2 - 43*h**2 + 25 wrt h.
-42*h
Suppose -o + 32 = o. Suppose -2*n - 8 = -3*t, -2*n + 4 = -5*t + o. What is the third derivative of y**2 + y**4 + 6*y**t - 2*y**2 + 0*y**2 wrt y?
24*y
Let t(w) be the first derivative of -25*w**2 - 35*w - 6. What is the derivative of t(a) wrt a?
-50
Let f(n) be the second derivative of -17*n**8/56 - 3*n**6/10 - 575*n**4/12 - 2*n + 431. Find the third derivative of f(b) wrt b.
-2040*b**3 - 216*b
Let b(h) = -15*h**3 + 10*h. Let t(q) = -2*q**3 - q + 18*q**3 - 9*q. Let n(k) = 2*b(k) + 3*t(k). What is the second derivative of n(i) wrt i?
108*i
Let g(b) = b**4 - b**3 + b**2 + 1. Let o(t) = 31*t**4 + 3*t**3 - 3*t**2 - t + 67. Let p(z) = 3*g(z) + o(z). What is the second derivative of p(i) wrt i?
408*i**2
Let o be 3/(3/14 - 0). Differentiate o + 24 - 45 - 10*w**2 + 38 with respect to w.
-20*w
Let j(q) = -q**2 + q. Let l(n) = 219*n**3 - 20*n**2 + 2*n. Let x(r) = 2*j(r) - l(r). What is the third derivative of x(c) wrt c?
-1314
Let l be 1/(-5) + (-72)/(-10). Suppose -4*q = -l - 17. What is the first derivative of -u**3 + 15 - q*u**3 + 0 - 2 wrt u?
-21*u**2
Suppose -3*p = -6*p + 12. Suppose 3*l - 3*j = -2*j - 2, -p = -2*j. Find the second derivative of -4*g**4 + 0*g**4 + l*g**4 - 2*g + 0*g wrt g.
-48*g**2
Let q(f) = f**3 + 5*f**2 + 3*f - 4. Let p be q(-4). Suppose 3*r + p*u - 11 = 2*u, -14 = -5*r - u. Differentiate -4 + 22 + 2*s**r - 13 wrt s.
6*s**2
Let r = 2 + 1. Let k(b) = -b + 23. Let s be k(21). Differentiate -5 - r*q**2 + 6*q**s - q**2 wrt q.
4*q
Let g be 18/(-12) + (-63)/(-30). Let i(o) be the first derivative of 0*o**4 + 0*o - 5 - 9/2*o**2 + 0*o**3 - g*o**5. What is the second derivative of i(u) wrt u?
-36*u**2
Let d(a) be the first derivative of -3 + 0*a**2 + 0*a + 6/5*a**5 - a**3 + 0*a**4. What is the third derivative of d(i) wrt i?
144*i
Let f(o) be the first derivative of -4/3*o**3 + 0*o**2 - 22 + 30*o. Differentiate f(u) wrt u.
-8*u
Suppose 2*v + 96 = 5*a, -a + 3*v + v = -12. Suppose 2 = 5*r - 4*s + 13, -5*s + a = 0. What is the first derivative of -4 - r + f - 4 + 2 wrt f?
1
Find the third derivative of 25*a**2 + 44*a + a**6 - 22*a - 17*a**5 - 23*a + 10*a**2 wrt a.
120*a**3 - 1020*a**2
Let x(g) be the second derivative of -8*g**7/105 + g**3/2 + 11*g**2/2 - 13*g. Let t(k) be the first derivative of x(k). Find the first derivative of t(c) wrt c.
-64*c**3
Let v(o) be the second derivative of 0*o**3 + 0 + 0*o**5 + 29*o - 4/15*o**6 - 21*o**2 + 0*o**4. What is the derivative of v(p) wrt p?
-32*p**3
Let q(k) be the third derivative of -k**7/840 - k**6/80 - 2*k**5/5 + 20*k**2. Let r(u) be the third derivative of q(u). What is the derivative of r(o) wrt o?
-6
Let q(h) be the third derivative of 1/15*h**6 + 0*h**4 + 5/2*h**3 + 0 - 16*h + h**2 + 0*h**5. Differentiate q(v) wrt v.
24*v**2
Let g(n) be the second derivative of 7*n**3 + 44*n**2 + 29*n. Find the first derivative of g(d) wrt d.
42
Let g(k) = -2*k**3 - 4*k**2 - k - 722. Let i(n) = -3*n**3 - 9*n**2 - 2*n - 144