. Suppose -2*i + q = -5. What is the derivative of 14*c**i - 3 + 13*c**4 - 18*c**4 wrt c?
36*c**3
Let c = 18 + -16. Let s(h) be the first derivative of -5*h**c + 2*h**2 + 3*h + 3 - 5*h - 4. Differentiate s(w) with respect to w.
-6
Let j(y) = 25*y**2 + 59*y. Let x(o) = 8*o**2 + 20*o. Let s be (-56)/(-21)*(-4 - -1). Let q(m) = s*x(m) + 3*j(m). What is the second derivative of q(k) wrt k?
22
Suppose 6*d - 20 = d. Find the third derivative of 3*h**2 - h**d - 2*h**2 + 9*h**2 wrt h.
-24*h
Let r(d) = 476*d**4 - 9*d**3 - 1752*d**2. Let z(s) = 119*s**4 - 2*s**3 - 438*s**2. Let h(g) = -2*r(g) + 9*z(g). What is the third derivative of h(j) wrt j?
2856*j
Let h(x) be the first derivative of -1/2*x**6 - 17 + 0*x**5 + 20*x**2 + 0*x**3 + 0*x**4 + 0*x. Find the second derivative of h(n) wrt n.
-60*n**3
Let y(f) = f**2 + 10*f + 2. Let z be y(-11). What is the third derivative of u - 3*u**4 - 7*u**2 - u + z*u**4 wrt u?
240*u
Suppose 6*t - 3 - 9 = 0. Suppose -2*q = 10, 3*o - t*q + 0*q = 34. Find the first derivative of o - 5*p**2 - p**2 + p**2 - 2*p**2 wrt p.
-14*p
Let x(y) be the second derivative of -25*y + 0*y**2 + 0*y**6 + 0 + 17/42*y**7 + 0*y**5 - 7/6*y**4 + 0*y**3. What is the third derivative of x(m) wrt m?
1020*m**2
Find the third derivative of 217*c**5 - 5*c**2 - 56*c**5 + 88*c + 44*c**5 + c**2 wrt c.
12300*c**2
Let h be 24 + -2 - (-1 - -2). Suppose -5*y = 2*y - h. Find the third derivative of y*t**2 + t**2 - 11*t**3 - 4*t**2 - 9*t**2 wrt t.
-66
Let o be 3 + -6*18/(-4). What is the first derivative of -48*m**2 + 5*m**4 + 25*m**2 + o + 23*m**2 wrt m?
20*m**3
Let a(f) be the first derivative of 257*f**4/4 + 409*f**3/3 - 279. Find the third derivative of a(m) wrt m.
1542
Suppose 21*v = 27*v - 22*v. Let g(j) be the third derivative of 0*j**5 + 0*j**6 - j**2 + 0*j**4 - 1/105*j**7 + v + 0*j + 5/6*j**3. Differentiate g(i) wrt i.
-8*i**3
What is the second derivative of 437*y + 341*y**5 - 562 + 562 + 99*y wrt y?
6820*y**3
Let n(a) be the first derivative of 19*a**5/5 + 5*a**4/4 - 271*a**3/3 - 112. Find the third derivative of n(d) wrt d.
456*d + 30
Let n(k) = k. Let j be (-5)/15 - 19/(-3). Let a(x) = -23*x**2 - 15*x. Let u(w) = j*n(w) - a(w). What is the second derivative of u(z) wrt z?
46
Let q(i) = -i**4 + i**3 + i. Let v(s) = 34*s**4 + 3*s**3 + 2*s**2 + 3*s - 2. Let g(r) = 3*q(r) - v(r). What is the third derivative of g(h) wrt h?
-888*h
Let x(c) be the first derivative of -c**6/6 - 15*c**2/2 - 24*c + 34. Let u(h) be the first derivative of x(h). What is the first derivative of u(b) wrt b?
-20*b**3
Let h = -3 - -3. Let j = h + 0. What is the third derivative of 3*y**2 - 4*y**6 + 2*y**6 + j*y**6 wrt y?
-240*y**3
Suppose -3*z + 61 = -44. What is the derivative of 7 - 2*v**2 + 11*v**2 - z wrt v?
18*v
Let y(i) be the first derivative of 102*i**2 - 142*i + 83. Differentiate y(k) wrt k.
204
Let u(m) = 5*m + 4. Let t be u(0). What is the third derivative of -5*f**5 + t*f + 52*f**3 + 11*f**2 - 3*f - 47*f**3 wrt f?
-300*f**2 + 30
Suppose -9*v + 12*v = 0. What is the third derivative of -176*t**2 + 167*t**2 - 5*t**6 + v*t**6 wrt t?
-600*t**3
Suppose -2*i + 72 = i. What is the first derivative of i - 1989*q**4 - 5 + 2002*q**4 wrt q?
52*q**3
Let i(r) be the first derivative of 5*r**6/6 - 2*r**5/5 + 58*r**3/3 - 24. What is the third derivative of i(k) wrt k?
300*k**2 - 48*k
Let p(r) be the second derivative of -7*r - 10*r**2 - 1/3*r**3 + 0. Let f(o) = -o - 10. Let a(x) = 5*f(x) - 3*p(x). Differentiate a(k) wrt k.
1
Let k(f) be the first derivative of 11*f**8/336 + f**5/6 + 10*f**2 - 15. Let d(z) be the second derivative of k(z). Find the third derivative of d(y) wrt y.
660*y**2
Let x(y) be the second derivative of y**4/2 + y**3 - 20*y**2 + 29*y. What is the derivative of x(o) wrt o?
12*o + 6
Suppose -24 = -j - 20. Let c(a) be the third derivative of 0*a**j + 0 - 5*a**2 - 1/60*a**5 + 0*a + 0*a**3 + 1/30*a**6. Find the third derivative of c(y) wrt y.
24
Suppose 2*i + 5 = 3*a, -3*a + 10 = -0*i - i. Suppose -s = a*s - 144. Find the third derivative of -5*h**5 + s*h + h**2 - 24*h wrt h.
-300*h**2
Let x(w) be the first derivative of -25 - 29 + 3*w**2 + 48 + 9*w**3. Find the second derivative of x(m) wrt m.
54
Let w(c) = c**3 - 2*c - 6. Let i(l) = -122*l**3 - l**2 + 2*l - 740. Let v(a) = i(a) + w(a). What is the derivative of v(t) wrt t?
-363*t**2 - 2*t
Let v(q) be the second derivative of -109*q**3/6 + 567*q**2/2 + 175*q. Differentiate v(n) wrt n.
-109
Let j(l) be the first derivative of -14*l**2 + 0*l - 47 - 1/3*l**3 + 4*l**5 + 0*l**4. Find the second derivative of j(k) wrt k.
240*k**2 - 2
Let g(c) = c**2 - 2. Let q be g(2). Let a = 59 - 57. Find the second derivative of v**a - 4*v**q + 5*v - 2*v + 3*v wrt v.
-6
Suppose v + 12 = 4*v. What is the second derivative of 47*f**4 - 54*f**v - 4*f - 3*f wrt f?
-84*f**2
Suppose -48*k + 43*k = 0. What is the second derivative of -2 + k + 1 - 44*i**4 + 3 + 7*i wrt i?
-528*i**2
What is the third derivative of -3*v**4 - 62*v**4 - 3*v**2 - 1000*v**3 + 1002*v**3 + v**2 wrt v?
-1560*v + 12
Suppose -7*j + 4*j + 3 = 0. Let g be (3/3 - j) + 2. Differentiate 3*q - 3 + 11 - g*q + 0 wrt q.
1
What is the first derivative of -122*f - 186 + 68 + 245*f - 128*f + 6*f**2 - 152 wrt f?
12*f - 5
Let j(i) = -2*i + 2. Let n be j(0). Suppose n*z - v = -0*v + 112, 271 = 5*z + 2*v. What is the third derivative of -60*m**6 + z*m**6 + 3*m**2 + 3*m**2 wrt m?
-600*m**3
Suppose -6*s + 33 = 9. Find the third derivative of 75*o**2 + 2*o**s - 23*o**4 - 76*o**2 wrt o.
-504*o
Let a be -2*(-4)/(-2) - -6. Let b be a/11 + (-12)/66. Find the second derivative of 2*w - w**2 - w**2 + b*w + 4*w wrt w.
-4
Suppose -5*x = -3*p - 28, -5*x + 13 = 5*p - 7. Find the second derivative of -6*m + 4*m**4 + 5*m - x*m wrt m.
48*m**2
Let o(h) be the first derivative of -41*h**5/60 - 13*h**4/12 + 2*h**2 + 25. Let y(z) be the second derivative of o(z). Find the second derivative of y(a) wrt a.
-82
Let h(m) be the second derivative of 13*m**5/4 - 23*m**4/2 - m**2/2 + 68*m. What is the third derivative of h(r) wrt r?
390
Let l be (-2)/(-11) + (-485)/(-55). What is the second derivative of -10*h - 7*h**5 - l*h - 6*h**5 - 3*h**5 wrt h?
-320*h**3
Let j(o) be the first derivative of -o**6/6 + 3*o**4/4 + 2*o**3/3 - 237*o**2/2 - 214. What is the third derivative of j(k) wrt k?
-60*k**2 + 18
Let s(i) be the first derivative of 489*i**2/2 - 143*i + 452. What is the derivative of s(q) wrt q?
489
Let l(c) be the third derivative of c**9/504 - 17*c**7/210 + 101*c**5/60 - 2*c**2 + 20*c. What is the third derivative of l(a) wrt a?
120*a**3 - 408*a
Suppose 0*t - 5*t + 145 = 0. Let d = 34 - t. What is the derivative of -28*s**3 + 1 + 28*s**3 + 2 - d*s**4 wrt s?
-20*s**3
Let c(r) be the first derivative of -3*r**7/14 + 13*r**3/6 + 16*r - 7. Let s(f) be the first derivative of c(f). What is the second derivative of s(h) wrt h?
-180*h**3
Let v(j) = 147*j**3 - 33*j**2 - 9*j + 88. Let i(n) = -37*n**3 + 8*n**2 + 2*n - 22. Let c(r) = 9*i(r) + 2*v(r). What is the third derivative of c(z) wrt z?
-234
Let n(i) = 2*i**4 + 12*i**3 + 155*i - 84. Let s(y) = -2*y**3 + y - 1. Let p(h) = n(h) + 6*s(h). What is the derivative of p(l) wrt l?
8*l**3 + 161
Let w(g) be the second derivative of 0 - 26*g - 10*g**2 + 0*g**3 + 0*g**5 + 0*g**4 + 3/5*g**6. Find the first derivative of w(h) wrt h.
72*h**3
Let q(o) = -25*o**2 + 10. Suppose -15 - 5 = -4*b. Let z(m) = -24*m**2 + 11. Let k(j) = b*q(j) - 4*z(j). What is the first derivative of k(u) wrt u?
-58*u
Let f(p) be the first derivative of p**7/210 + 23*p**4/24 - 6*p**3 - 10. Let w(c) be the third derivative of f(c). What is the first derivative of w(o) wrt o?
12*o**2
Suppose 8 = -4*f + 6*f. Suppose -p + f*y - 17 = -46, 0 = -4*p + y + 176. Find the second derivative of 5*l**5 - 3*l**5 - p*l**2 - 7*l + 45*l**2 wrt l.
40*l**3
Suppose 2*s + 2*s - 3*x - 113 = 0, -5*s + x + 133 = 0. What is the third derivative of 11*u**2 + 2*u**2 + 16*u**5 - s*u**5 + 47*u**5 wrt u?
2220*u**2
Suppose 2*m + 2*m - 24 = 0. Let n(y) = -4 - 12 + 0*y + 6*y + m*y. Let w(x) = -1. Let z(l) = -n(l) + 12*w(l). Differentiate z(h) with respect to h.
-12
Let z(x) = 44*x**3 - 14*x**2 - 10*x + 1. Let o(f) = 22*f**3 - 6*f**2 - 5*f. Let l(w) = 7*o(w) - 3*z(w). Find the second derivative of l(r) wrt r.
132*r
Let j be 0 + 3