z*j**4 wrt j?
84*j**2
Suppose r - 1 = 5*l + 1, -2*r + 3*l + 4 = 0. What is the first derivative of -10 + 14*i**4 - 356*i**2 + 356*i**2 - r*i**4 wrt i?
48*i**3
Let f(z) = 9*z - 6*z**3 + 10*z**3 - 1 + 4 - 10*z**2 - 3*z**3. Let q be f(9). What is the third derivative of 9*o**3 + 0*o**3 - o**3 - 4*o**q - 7*o**2 wrt o?
24
Let m(z) be the second derivative of -53*z**4/12 + 71*z**2/2 - 3*z - 4. What is the first derivative of m(x) wrt x?
-106*x
Let u be (21/(-12) - -2)*12. Let m(t) be the first derivative of 2*t**5 + 6*t - 14*t**3 + 14*t**u - 4*t**5 - 3. Find the first derivative of m(h) wrt h.
-40*h**3
Let y(d) = -24*d**2 + 4*d - 17. Let o(r) = -25*r**2 + 5*r - 16. Suppose 3*p = 9 + 6. Let v(s) = p*y(s) - 4*o(s). Differentiate v(m) with respect to m.
-40*m
Suppose -2*n = 4*d + d - 42, 0 = 3*n + 3*d - 45. Find the third derivative of -n + 7 + 4 - i**2 - 10*i**4 wrt i.
-240*i
Suppose 16 = -3*p - p, 0 = -3*s - 2*p + 61. Let d = s - 21. Differentiate 0 - d + y**3 - 2 wrt y.
3*y**2
Differentiate 8*a**4 + 28*a**4 - 2*a - 54 - 21 - 17*a**4 wrt a.
76*a**3 - 2
Let i(w) = -2*w**2 + 1. Let s(t) = t**4 + 115*t**3 - 9*t**2 - 125*t + 5. Let b(o) = 5*i(o) - s(o). What is the third derivative of b(p) wrt p?
-24*p - 690
Let o(l) be the third derivative of 25*l**8/84 - 17*l**4/4 + 56*l**2. Find the second derivative of o(y) wrt y.
2000*y**3
Let o = 74 + -186. Let k(l) = -l**2 - l + 1. Let y(j) = 48*j**2 + 64*j - 56. Let c(i) = o*k(i) - 2*y(i). What is the second derivative of c(f) wrt f?
32
What is the third derivative of -572*v**4 + 8*v**6 + 51*v**2 + 22*v**2 + 1151*v**4 - 569*v**4 wrt v?
960*v**3 + 240*v
Let t = 5 + 20. Differentiate -15 + 2*n - 5 - t*n with respect to n.
-23
Let h(i) be the second derivative of -51*i**4/4 - 5*i**3/6 - 3*i**2/2 - 76*i. What is the second derivative of h(a) wrt a?
-306
Let j(d) = 111*d**3 - 66*d**2 - 2*d - 4. Let m(p) = -2*p**2 - 1. Let a(w) = j(w) - 4*m(w). What is the third derivative of a(u) wrt u?
666
Differentiate -110 + 9386*l - 2*l**4 + 79*l**4 - 9384*l wrt l.
308*l**3 + 2
Suppose -2*t + 0*c - 4*c - 26 = 0, 5*t - 5*c + 95 = 0. Let n(b) = 4*b + 32. Let m(d) = d + 11. Let g(f) = t*m(f) + 6*n(f). Differentiate g(y) wrt y.
7
Let n(d) = -2024*d**2 + 804. Let f(l) = 1349*l**2 - 536. Let i(u) = -7*f(u) - 5*n(u). What is the first derivative of i(y) wrt y?
1354*y
Let f = -1410 + 1414. Let o(m) be the second derivative of -3*m + 0 + 0*m**5 + 0*m**f + 1/2*m**2 - 7/30*m**6 + 0*m**3. What is the derivative of o(w) wrt w?
-28*w**3
What is the first derivative of 833*t**4 + 386 - 11*t**2 - 6*t**2 + 13*t**2 + 4*t**2 wrt t?
3332*t**3
Differentiate -4129*r**2 - r - 82 - r**3 + 5*r + 4129*r**2 wrt r.
-3*r**2 + 4
Let u = -31 - -34. What is the second derivative of u*w + 10*w - 2*w**2 - 6*w**2 + 4*w**2 wrt w?
-8
Let k(g) = -g**2 - g. Let l(a) = -18*a**3 - 120*a**2 - 5*a. Let z(h) = 5*k(h) - l(h). Find the third derivative of z(p) wrt p.
108
Let h(p) be the first derivative of p**6/360 + 5*p**4/12 + 3*p**3 + 11. Let c(n) be the third derivative of h(n). What is the first derivative of c(d) wrt d?
2*d
Let p(w) = -178*w**3 + 52*w**2 - 12. Let o(f) = 177*f**3 - 50*f**2 + 14. Let n(l) = -5*o(l) - 6*p(l). Find the third derivative of n(u) wrt u.
1098
Let c(u) be the second derivative of -3*u**5/2 - 29*u**4/6 - 32*u - 2. What is the third derivative of c(g) wrt g?
-180
Let x(n) = 403*n**3 + 101*n**2 + 13*n - 9. Let s(k) = 100*k**3 + 25*k**2 + 3*k - 2. Let r(c) = 9*s(c) - 2*x(c). What is the third derivative of r(m) wrt m?
564
Suppose -6*j + 51 = 3. Let y(x) be the third derivative of j*x**2 + 0 - 1/15*x**6 - 1/2*x**4 + 0*x**5 + 0*x + 0*x**3. Find the second derivative of y(p) wrt p.
-48*p
Let h = 6 + 14. What is the derivative of -6*v**4 - 3*v**4 - 12 + h*v**4 wrt v?
44*v**3
Suppose 0*a + a + 4 = 2*p, 2*p + 5*a - 4 = 0. Suppose -j = -4*f + 5, -4*j = -4*f + p*f - 8. Find the first derivative of 0*l**2 + 6*l**2 - j + 0 - l**2 wrt l.
10*l
Let r = -10 + 20. Suppose -19 = 25*g - 94. What is the third derivative of -202 - r*z**2 + 202 + 0*z**3 - g*z**3 wrt z?
-18
Suppose -2*r - 3*o = -r - 14, 0 = -2*r + o. Differentiate -23*n**r - 2 + 4*n**2 + 0 - 7 with respect to n.
-38*n
Let y(v) = -v - 4. Let h(u) = -2*u + 2. Let o be h(5). Let i be y(o). What is the second derivative of w**4 - 4*w + 9*w + w**i wrt w?
24*w**2
Let t(w) be the first derivative of 29*w**2/2 - 117*w + 107. Differentiate t(o) wrt o.
29
Let i be 6/(-8)*64/(-2). Suppose 6*z + 6 - i = 0. Find the second derivative of -b**3 - 5*b**3 + 0*b - z*b wrt b.
-36*b
Let c(q) be the second derivative of 47*q**7/42 - 22*q**4/3 + 3*q - 1. Find the third derivative of c(v) wrt v.
2820*v**2
Let f = -1 - -5. Suppose 1 = -2*l + 3*t + 8, 0 = l - t - f. Find the third derivative of 5*r**2 - 120*r**5 + r**2 + 124*r**l wrt r.
240*r**2
Differentiate 332 - 137 + 36*y**4 + 367 - 4*y**2 - 191 + 413 wrt y.
144*y**3 - 8*y
Let b(q) be the second derivative of 0*q**2 + 5/6*q**3 + 11/30*q**6 + 0*q**4 + 0*q**5 + 0 + 5*q. What is the second derivative of b(p) wrt p?
132*p**2
Suppose 0 = -4*r + 3*h + 18, 2*r - 14 = 4*h. What is the third derivative of -17*d**3 + 9*d**r + 8*d**2 + 3*d**3 wrt d?
-30
Let z(l) = -l**3 + 6*l**2 - 6*l + 7. Let s be (1/3)/(3/45). Let t be z(s). Find the third derivative of -6 + 6 - 6*i**t + 8*i**4 wrt i.
192*i
Suppose -2*w + 6*w - 10 = -5*r, w - 5*r = -10. Let a(c) be the first derivative of -10/3*c**3 - 6 + w*c**2 + 4*c. What is the derivative of a(o) wrt o?
-20*o
What is the third derivative of y**2 + 1100*y**6 + 261*y - 1485*y**6 + 704*y**6 wrt y?
38280*y**3
Let t(h) = -21*h - 34. Let v(z) = 2*z**2. Let r be v(-1). Let s(b) = 11*b + 17. Let d(n) = r*t(n) + 5*s(n). What is the first derivative of d(g) wrt g?
13
Let v(f) = f**3 - 6*f**2 - f + 8. Let s be v(6). Suppose p - 2*g + 41 = s*p, 0 = -2*p - g + 82. What is the derivative of 6*z**2 - 25 + p - 25 wrt z?
12*z
Let v(s) be the second derivative of -23*s**6/30 - s**5/5 - 4*s**3/3 + s**2/2 + 22*s - 3. What is the second derivative of v(c) wrt c?
-276*c**2 - 24*c
Let r(l) = -28*l**3 + 3*l**2 - 3*l - 18. Let y(u) = -28*u**3 + 2*u**2 - 2*u - 19. Suppose -19 - 2 = 7*a. Let h(s) = a*y(s) + 2*r(s). Differentiate h(w) wrt w.
84*w**2
Suppose 3*u = 3*d + 9, 4*u - u = -4*d + 44. Let z be (u - 4)/8*14. What is the second derivative of 2*l - 4*l - z*l**5 - 6*l wrt l?
-140*l**3
Let y(x) = 220*x - 25. Let p(w) = -1098*w + 126. Let t(f) = 2*p(f) + 11*y(f). Differentiate t(l) wrt l.
224
What is the third derivative of 26*a**2 + 2548*a**3 + 84*a**4 - 2548*a**3 wrt a?
2016*a
Let m(n) be the second derivative of -31*n**7/21 - 3*n**5/20 - 191*n**4/12 - 109*n. Find the third derivative of m(w) wrt w.
-3720*w**2 - 18
Let q(s) be the third derivative of -97*s**4/8 + 50*s**3/3 + 155*s**2 + s. Differentiate q(l) wrt l.
-291
Let u(v) be the third derivative of -1/15*v**7 + 0*v**6 + 0*v**5 + 0 + 23/24*v**4 + 0*v + 0*v**3 - 2*v**2. Find the second derivative of u(h) wrt h.
-168*h**2
What is the second derivative of 3157 - b**2 - 3157 - 88*b + 10*b**3 wrt b?
60*b - 2
Suppose 10*j = 11*j + 3. Let c be j/(-3) - 5/(-5). What is the second derivative of -3*k**c - 4*k + 6*k**2 - 3*k wrt k?
6
Let n = 613 + -611. Let w(y) be the second derivative of 1/2*y**4 - 7*y + 1/6*y**3 + 0*y**n + 0. Find the second derivative of w(k) wrt k.
12
Let w(n) = 1. Let d(l) = -4*l**3 - l + 4. Let t(y) = y + 4. Let u be t(0). Let c(x) = u*w(x) - d(x). What is the second derivative of c(s) wrt s?
24*s
Find the third derivative of -320238*k**6 - 38*k**2 - 100*k**2 + 320082*k**6 - 1 wrt k.
-18720*k**3
Let r(x) be the first derivative of x**8/4 - 7*x**4/12 + 8*x + 10. Let d(h) be the first derivative of r(h). Find the third derivative of d(f) wrt f.
1680*f**3
Let f(h) be the first derivative of -h**2 + 0*h + 0*h**4 - 13/6*h**6 + 0*h**5 - 4 + 0*h**3. What is the second derivative of f(y) wrt y?
-260*y**3
Let b(j) = -7*j + 67. Let k(p) = -21 + 27*p - 13 - 13*p - 10*p. Let y(w) = 2*b(w) + 5*k(w). Find the first derivative of y(h) wrt h.
6
Let x(o) be the second derivative of -53*o**5/20 - 115*o**4/12 + 113*o + 2. What is the third derivative of x(z) wrt z?
-318
Let c(b) be the third derivative of -2*b**7/315 - 2*b**5/15 - 17*b**4/24 + 3*b**2. Let u(l) be the second derivative of c(l). Differentiate u(n) wr