9 - 7. Differentiate 12 + 3*k + x*k - 13 with respect to k.
5
Let y = 7 - 1. Let o be 3/((-10)/(-14) - 16/(-56)). What is the second derivative of 4*s**4 + o*s**4 - s + y*s**4 - s wrt s?
156*s**2
Let r = 16 - 14. Let i be 286/77 + r/7. Find the second derivative of -24 + i*h + 4*h**3 + 24 wrt h.
24*h
Find the second derivative of -61*l**2 + 63*l**2 - 6*l + 24*l**4 + 2 - 3 wrt l.
288*l**2 + 4
Let h(c) be the second derivative of 0 + 10*c - 1/3*c**4 - 15/2*c**2 + 0*c**3. Differentiate h(o) wrt o.
-8*o
Let y(d) = d**4 + d**2 + d + 2. Let s(w) = -3*w**4 - 2*w**2 + 37*w - 3. Let t(r) = s(r) + 2*y(r). What is the first derivative of t(i) wrt i?
-4*i**3 + 39
What is the derivative of 12 + 55 + 155*p - 22*p**4 - 153*p wrt p?
-88*p**3 + 2
Let s(h) = -58*h**2 + 22*h - 1. Let r(c) = -174*c**2 + 66*c - 2. Let u(k) = 3*r(k) - 8*s(k). Find the second derivative of u(j) wrt j.
-116
Suppose 2*u - 20 = -3*u. Suppose -u*b - b = -10. What is the first derivative of o**2 - 1 - b + 2 + 2 wrt o?
2*o
Let i(g) be the second derivative of 483*g**5/20 - 347*g**2/2 + g - 164. Find the first derivative of i(z) wrt z.
1449*z**2
Let g(q) = -q**5 + q**2 - q. Let k(n) = 13*n**5 - 6*n**2 + 29*n**2 - 2*n - 26*n**5. Let r(o) = -2*g(o) + k(o). What is the third derivative of r(b) wrt b?
-660*b**2
Let q(c) be the third derivative of 16*c**2 + 0*c + 9/2*c**3 + 7/60*c**5 + 0 + 0*c**4. Find the first derivative of q(u) wrt u.
14*u
Let f(b) be the second derivative of -39/20*b**5 - 6*b**2 - 48*b + 0*b**4 + 0 + 0*b**3. What is the derivative of f(c) wrt c?
-117*c**2
Let x(d) be the second derivative of d**2 + 0*d**5 + 8/21*d**7 + 0*d**6 - 14*d - 1/2*d**3 + 0*d**4 + 0. Find the second derivative of x(r) wrt r.
320*r**3
Let b(p) = 324*p**2 + 24*p - 11. Let o(k) = 324*k**2 + 22*k - 13. Let h(c) = -6*b(c) + 5*o(c). What is the second derivative of h(n) wrt n?
-648
Let t(a) = 9*a - 5. Let k(l) = -l**2 - 5*l + 17. Let v be k(-7). Let q be t(v). Differentiate 22*j + 8*j**2 + 3 - q*j wrt j.
16*j
Suppose 0 = -4*v + 17 - 1. Let j be (-2)/(v/(-6)) - 0. Find the second derivative of -15*i + 6*i**j - 13*i + 23*i wrt i.
36*i
Let g(q) be the third derivative of -47*q**9/168 + 37*q**5/30 + q**3/3 + 31*q**2 - 1. Find the third derivative of g(y) wrt y.
-16920*y**3
Let m(p) = -162*p**4 + 3*p**3 + 223*p**2. Let l(g) = 5*g**4 + g**3. Let d(s) = -4*l(s) + m(s). Find the third derivative of d(t) wrt t.
-4368*t - 6
Let w(v) = -9*v**4 + 7*v**3 + 7*v**2 - 32*v - 11. Let a(s) = -8*s**4 + 6*s**3 + 6*s**2 - 32*s - 12. Let p(u) = -7*a(u) + 6*w(u). Differentiate p(z) wrt z.
8*z**3 + 32
Let p(h) be the third derivative of 1/12*h**6 + 3/2*h**3 - 7*h**2 + 0*h + 0*h**4 + 0*h**5 + 0. Find the first derivative of p(q) wrt q.
30*q**2
Suppose 5*a - 16 = 3*u + 9, 2*u = -a + 18. Find the second derivative of -a*f - 8*f**5 - 12*f**5 - 10*f**5 - f wrt f.
-600*f**3
Differentiate -4*w - 154 - 14*w**3 - 54 + 23*w**3 + 3*w**3 wrt w.
36*w**2 - 4
Find the second derivative of -468*y - 817*y - 151*y**4 + 431*y wrt y.
-1812*y**2
Let g(s) = -s**4 - 35*s**2 + 34*s - 6. Let x(v) = 3*v**4 + 104*v**2 - 104*v + 17. Let o(t) = 17*g(t) + 6*x(t). What is the second derivative of o(i) wrt i?
12*i**2 + 58
Let v(h) = 201*h**3 - 990*h**2 + 4. Let s(p) = -403*p**3 + 1983*p**2 - 9. Let y(a) = -4*s(a) - 9*v(a). What is the third derivative of y(u) wrt u?
-1182
Find the first derivative of 4904*h - 7*h**2 - 4904*h - 1 + 4 wrt h.
-14*h
Let t(b) = -17*b + 3. Let a be 6/((-5)/((-80)/(-12))). Let c(h) = -6*h + 1. Let n be (-5 - 1)/(4/(-2)). Let l(i) = a*c(i) + n*t(i). Differentiate l(d) wrt d.
-3
Let u = 104 - 70. Differentiate -39*n + 12 + 6*n**2 + 73*n - u*n with respect to n.
12*n
Let f(j) = -2*j**3 - 13*j**2 + 6*j. Let w be f(-7). Find the second derivative of 0*i + 7*i + 3*i - 20*i**4 + w*i wrt i.
-240*i**2
Let l(n) be the first derivative of 13*n**4/24 + n**3/6 + 11*n**2/2 - 3. Let j(r) be the second derivative of l(r). Find the first derivative of j(z) wrt z.
13
Let v(q) = 75*q**4 - 3*q**3 + 31*q**2 + 1. Let f(y) = 151*y**4 - 5*y**3 + 63*y**2 + 2. Let h(t) = -3*f(t) + 5*v(t). What is the third derivative of h(k) wrt k?
-1872*k
Suppose 6*p = 8*p - 2. Suppose 4*x = 63 + p. Find the first derivative of -24*v**3 + 3 - 1 - 1 + x*v**3 wrt v.
-24*v**2
Let c(s) = 53*s - 10. Let q = 56 + -58. Let d(k) = 1. Let p(x) = q*d(x) - c(x). What is the first derivative of p(t) wrt t?
-53
Suppose 0 = 3*z + 29 - 14. Let g(s) = 29*s - 26. Let j(k) = -11 + 22*k - 6 - 3*k. Let q(w) = z*g(w) + 8*j(w). What is the first derivative of q(y) wrt y?
7
Let z be 0*(26/(-4))/13. Let b(x) be the first derivative of 4/5*x**5 + 0*x**3 - 6 + z*x**4 + 7/2*x**2 + 0*x. What is the second derivative of b(c) wrt c?
48*c**2
Let z be (-15)/9*162/(-90). Let n(m) be the second derivative of -8*m + 0 - 7/6*m**3 - z*m**2. Differentiate n(s) wrt s.
-7
Let w = 32 + -30. What is the third derivative of -j**6 + 4*j**w + 5*j**2 + 13*j**6 wrt j?
1440*j**3
Let j(l) be the second derivative of -13/12*l**4 + 0*l**3 + 0*l**5 + 13*l - 4/15*l**6 + 0 + 0*l**2. What is the third derivative of j(i) wrt i?
-192*i
Suppose -3 - 3 = 6*l. Let d(m) = 1. Let k(h) = 10*h - 9. Let z(j) = l*k(j) + 2*d(j). Differentiate z(v) wrt v.
-10
Let j(n) be the second derivative of 57*n**7/14 - n**3/6 - 80*n**2 + 73*n + 1. Find the second derivative of j(f) wrt f.
3420*f**3
Suppose -2*j - 2*v + 6 = -10, 0 = 4*j + 3*v - 28. Find the second derivative of 3*w**j + 13*w**3 + 23*w - 28*w - 34*w wrt w.
36*w**2 + 78*w
Let m(k) be the third derivative of -167*k**8/84 + 41*k**5/20 + 345*k**2. What is the third derivative of m(a) wrt a?
-40080*a**2
Let w(t) = 57*t - 36. Let n(g) = -g**2 - 4*g + 1. Let o be n(-5). Let h(q) = 14*q - 9. Let u(y) = o*w(y) + 15*h(y). What is the derivative of u(x) wrt x?
-18
Differentiate -381 - 217*q + q**4 - 10*q**4 + 200*q with respect to q.
-36*q**3 - 17
Find the third derivative of 1914*u**3 + 20*u**2 - 1914*u**3 + 1 - 3*u**2 + 151*u**4 wrt u.
3624*u
Let f(x) = -x**2 + x + 6. Let q be f(3). Let z(a) = -a + 2. Let d be z(q). Find the third derivative of 3*v**3 - 2*v**2 + 2*v**3 + 0*v**2 - v**d wrt v.
30
Suppose 3*d - 11 = 4. Let t be d/(-5) + (2 - -1). What is the second derivative of 11*m**2 + t*m**4 + 6*m - 11*m**2 wrt m?
24*m**2
Let y(q) be the first derivative of 31*q**6/120 - 25*q**3/6 - 10*q**2 - 26. Let j(n) be the second derivative of y(n). Find the first derivative of j(o) wrt o.
93*o**2
What is the second derivative of -72*l**3 - 48*l**3 - 166*l - 19*l - 1 + 1 wrt l?
-720*l
What is the third derivative of 89*c**5 + 17*c**3 + 718*c**2 - 17*c**3 - 776*c**2 + c**6 wrt c?
120*c**3 + 5340*c**2
Let y(s) = -s. Let v(b) = -34*b + 75. Let i(g) = -v(g) - 2*y(g). What is the derivative of i(m) wrt m?
36
Let i(u) = -3*u**4 + 49*u. Let o(z) = 6*z**4 - 98*z. Let q(y) = -7*i(y) - 3*o(y). Find the second derivative of q(c) wrt c.
36*c**2
Suppose 2*b + 1 = -4*d - 1, 4*b = 3*d + 18. Differentiate -35*u + 18*u**b + 17*u + 18*u + 13 with respect to u.
54*u**2
Let p(g) = -63*g**4 - 11*g**2 - 11*g + 629. Let d(t) = -13*t**4 - 2*t**2 - 2*t + 126. Let k(w) = 11*d(w) - 2*p(w). What is the first derivative of k(i) wrt i?
-68*i**3
Suppose v - 3 = -0. What is the derivative of -14*y**v - 1190 + 1171 - 7*y**3 wrt y?
-63*y**2
Let u(v) be the third derivative of v**5/12 + v**4/6 - 8*v**3/3 + 24*v**2. Let r(d) be the first derivative of u(d). What is the first derivative of r(i) wrt i?
10
Let u(i) be the second derivative of 59*i**5/20 + i**2 + 28*i - 2. Differentiate u(k) with respect to k.
177*k**2
Suppose 5*a - 153 = 162. Let u be a/13 + (-12)/(-78). Differentiate -2 + 4*f**3 - 1 - u + 4*f**3 wrt f.
24*f**2
Suppose 282 - 252 = 6*b. Let g(k) be the second derivative of 0 + 0*k**4 - 1/2*k**3 + 0*k**b - 1/10*k**6 + 0*k**2 - k. Find the second derivative of g(i) wrt i.
-36*i**2
Let w(x) = -8*x + 4. Let d be w(2). Let i = d - -14. What is the derivative of 10*m**3 + 16*m**i - 13*m**2 - 3*m**2 + 6 wrt m?
30*m**2
Let y(m) be the third derivative of 11*m**6/40 + m**4/24 + 37*m**3/6 - 31*m**2 + 4*m. What is the second derivative of y(h) wrt h?
198*h
Let h be (22/(-14) + 2)/(1/7). What is the third derivative of h*t**6 + 32 - 5*t**6 + 4*t**3 + 15*t**3 - 2*t**2 - 43 wrt t?
-240*t**3 + 114
Suppose 0 = 4*g - 5*g + 2. Suppose 0 = w -