60*k**2 - 62*k**2 with respect to k.
-244*k
Let n(a) = 6*a**4 + 2*a**3 + 2*a + 14. Let j = -7 + 5. Let d(t) = 7*t**4 + 3*t**3 + 3*t + 14. Let z(b) = j*d(b) + 3*n(b). Differentiate z(y) wrt y.
16*y**3
What is the first derivative of 52*y - 54*y - 1 + 18 wrt y?
-2
What is the third derivative of 98*t**4 - 94*t**3 + 280*t**2 + 75*t**4 - 170*t**4 wrt t?
72*t - 564
Let x(i) be the first derivative of 2*i**4 - i**2 + 610*i - 38. Find the first derivative of x(g) wrt g.
24*g**2 - 2
Let k(o) be the first derivative of 232*o**3/3 - 203*o**2/2 + 214. What is the second derivative of k(b) wrt b?
464
Let b(u) = u**3 + u**2 + 2. Let d = 14 + -14. Let f be b(d). What is the derivative of 45 + f*w + 0*w - 41 wrt w?
2
Let b(s) = -5*s**3 - 6*s**2 + 59*s. Let v(a) = a**2. Let f(p) = b(p) + 6*v(p). Find the second derivative of f(d) wrt d.
-30*d
What is the first derivative of -87 - 74 + 37*z - 60*z + 23*z + 139*z**2 wrt z?
278*z
Find the second derivative of -238*l**2 - 136*l - 179*l**3 - 79*l + 238*l**2 wrt l.
-1074*l
What is the third derivative of -100*f**3 + 123*f**3 - 23*f**2 + 79*f**2 wrt f?
138
Let l(f) be the second derivative of -f**5/20 - 7*f**4/4 + 38*f**3/3 + 38*f + 1. Find the second derivative of l(v) wrt v.
-6*v - 42
Let b(x) be the first derivative of x**4 + 20*x**3/3 - 86*x + 331. What is the derivative of b(a) wrt a?
12*a**2 + 40*a
Suppose -3*q + a = 4*a - 24, -4*q - a + 17 = 0. What is the third derivative of 5*m**q - 4*m**2 + 0*m**2 + 2*m**2 wrt m?
30
Let d(a) be the first derivative of 5 + 0*a**2 + 0*a + 0*a**4 + 2*a**3 + 2/5*a**5. What is the third derivative of d(z) wrt z?
48*z
Let n(b) be the third derivative of -b**7/70 - 7*b**6/120 - 47*b**5/30 - b**3/6 - 106*b**2 + 2*b. What is the third derivative of n(c) wrt c?
-72*c - 42
Suppose -4 = -8*k + 4. Differentiate 12*z - 12*z + 8*z**3 + 0 - k with respect to z.
24*z**2
Suppose 5*p = 10, -p = -3*b + p + 1127. Let r = b + -223. Find the first derivative of y**4 + 2 + 154*y**3 - r*y**3 wrt y.
4*y**3
Let u(d) be the third derivative of -d**6/120 - d**5/15 - d**4/8 - 5*d**3/6 + 82*d**2. Find the second derivative of u(c) wrt c.
-6*c - 8
Let u(j) be the third derivative of -2*j**6/3 - 22*j**5/5 + 50*j**2 - 2*j. Find the third derivative of u(x) wrt x.
-480
Let x(n) be the third derivative of -7*n**6/5 + 59*n**4/24 - 94*n**2. Find the second derivative of x(i) wrt i.
-1008*i
Find the first derivative of -529499*o**2 - 563 + o**3 + 529499*o**2 + 23*o wrt o.
3*o**2 + 23
Suppose 3*x + 14 = -4*q, -4*x - 11 = -4*q - 39. Find the third derivative of -8*r**x - r**3 - 10*r**3 + r**3 wrt r.
-60
Let s(m) = m + 1. Let i be s(0). Let l(c) = c. Let d(n) = -n**3 + 2*n - 2. Let b = 6 + -8. Let g(f) = b*l(f) + i*d(f). Differentiate g(k) wrt k.
-3*k**2
Let p be (-4 + 3)*-2 - -39. What is the first derivative of -p*k**4 + 97*k**4 - 46*k**4 + 8 wrt k?
40*k**3
Suppose -s - 26 = -28. Find the third derivative of 36*k**4 + k + 6*k**4 + 57*k**2 - 58*k**s wrt k.
1008*k
Let j(w) be the first derivative of 235*w**4/2 - 44*w**3/3 - 3*w + 202. What is the third derivative of j(p) wrt p?
2820
Let a(d) = 427*d**4 + 133*d**2 - 13*d - 30. Let g(s) = 214*s**4 + 67*s**2 - 6*s - 14. Let m(l) = -6*a(l) + 13*g(l). Find the third derivative of m(x) wrt x.
5280*x
Let l(p) be the first derivative of -2*p**5/5 - p**2 - 183*p + 20. Differentiate l(u) wrt u.
-8*u**3 - 2
Let x(i) be the third derivative of -1/60*i**6 + 2*i**2 + 0 + 0*i**4 + 0*i**5 - 1/2*i**3 + 0*i. Differentiate x(o) with respect to o.
-6*o**2
Suppose -5*u + 9 = -4*u. Suppose 0 = -z - j + 7, 0 = z - 3*j + u. What is the first derivative of -14*w + z + 14*w + w**2 wrt w?
2*w
What is the first derivative of 122*j**2 + 90 + 131 - 121 wrt j?
244*j
Let a(r) = -r - 15. Let f be a(-19). What is the first derivative of 2 - 13 + 17*z**f + 2 wrt z?
68*z**3
Let i(c) be the second derivative of -c**8/240 + 3*c**4/8 - 2*c**3/3 + 3*c. Let h(k) be the second derivative of i(k). Find the first derivative of h(u) wrt u.
-28*u**3
Let k(o) be the first derivative of o**6/3 - 17*o**4/4 + 451*o**3/3 + 199. What is the third derivative of k(b) wrt b?
120*b**2 - 102
Let f(h) be the first derivative of 0*h + 24 + 0*h**4 + 9/2*h**2 + 5/3*h**6 + 0*h**5 + 0*h**3. What is the second derivative of f(c) wrt c?
200*c**3
Let k(n) = -13*n**2 + 5*n - 11. Let t(g) = 20*g**2 - 7*g + 17. Suppose -27 = -8*c + 13. Let h(f) = c*t(f) + 7*k(f). Differentiate h(b) with respect to b.
18*b
Let n(w) = 13*w**4 + 44*w**3 + 206*w + 5. Let s(z) = -7*z**4 - 22*z**3 - 103*z - 3. Let x(v) = 3*n(v) + 5*s(v). What is the second derivative of x(g) wrt g?
48*g**2 + 132*g
Let i be (1 - 2) + 1 + -12. Let d = i - -13. Find the first derivative of r + d + 0*r + 4*r wrt r.
5
Let r(x) = -2*x**3 - 3*x**2 - 6*x - 18. Let q(t) = -2*t**3 - 3*t**2 - 5*t - 18. Let w(z) = 3*q(z) - 2*r(z). What is the second derivative of w(n) wrt n?
-12*n - 6
Let j(m) be the third derivative of 4*m**7/105 + m**4/4 + 52*m**3/3 - 2*m**2 + 31*m. What is the first derivative of j(w) wrt w?
32*w**3 + 6
Let o = 12 + -6. Suppose 0 = -f + 1, 3*f - 7*f - o = -2*k. What is the third derivative of 0*u + 3*u**2 + 0*u - 10*u**k + 17*u**5 wrt u?
420*u**2
What is the second derivative of -7 - 39*p - 11*p**4 + 20*p**4 + 41*p + 9*p**4 wrt p?
216*p**2
Suppose 5*q - 5 = 0, 2*q - 3 = -2*v + 3*q. Let y = -10 - -11. Find the first derivative of -5*w + v*w + y - 7*w + 4 wrt w.
-10
Let h(j) = -255*j**2 + 159*j - 33. Let p(k) = -5*k - 3*k + 2*k - 2 - 16*k**2 + 16*k. Let d(w) = -2*h(w) + 33*p(w). What is the second derivative of d(b) wrt b?
-36
Let k(l) = -78*l + 2. Let t be k(-1). Suppose 0 = 6*n + 20 - t. Differentiate -7*j**2 + 5*j**2 - n + 0*j**2 wrt j.
-4*j
Let r be 2/(-7) + 20/70. Suppose r = -0*b + b - 2. Differentiate z - b*z - 4 - z**2 + z wrt z.
-2*z
Let b(w) be the third derivative of 7*w**6/120 + w**5/6 - 22*w**4/3 - 101*w**2. What is the second derivative of b(h) wrt h?
42*h + 20
Let j(a) be the third derivative of 0*a + 0*a**5 - 3/4*a**4 - 9*a**2 + 0 + 0*a**7 + 0*a**3 + 1/112*a**8 + 0*a**6. What is the second derivative of j(q) wrt q?
60*q**3
Let c(j) = -j**3 + 10*j**2 + 11*j + 2. Suppose 4*f - 26 = 18. Let r be c(f). What is the third derivative of -a**2 + 7*a**2 - r*a + 2*a + 10*a**4 wrt a?
240*a
What is the derivative of 5*v**4 + 8*v**4 - 4*v**4 - 107 + 5*v**2 - 35 wrt v?
36*v**3 + 10*v
Let x(m) = -18*m**2 + 10. Let o(j) = -4 + 6*j**2 + 0 + 11*j**2 - 6. Let p(z) = -5*o(z) - 4*x(z). What is the derivative of p(d) wrt d?
-26*d
Suppose 20 = 4*q, -5*d + 3*q = -0*q + 5. Find the third derivative of -22*x**2 + 0*x**2 - 7*x**4 - d*x**2 wrt x.
-168*x
Let q(k) = 63*k**3 - 4*k**2 - 2*k + 36. Let g(o) = 314*o**3 - 22*o**2 - 11*o + 179. Let c(m) = -2*g(m) + 11*q(m). What is the derivative of c(s) wrt s?
195*s**2
Let a(w) = -177*w + 242. Let p(i) = 532*i - 725. Let r(b) = 7*a(b) + 2*p(b). Differentiate r(j) wrt j.
-175
Find the first derivative of -16*g + 8*g + 5*g + 64 wrt g.
-3
Suppose o + 5*c + 3 = -2, 0 = -2*o - c - 1. Suppose o = -11*k + 9*k + 4. Find the second derivative of -8*q**3 + 16*q**2 - 16*q**k - 8*q wrt q.
-48*q
Let t(p) = 829*p**3 - p + 35. Let i(k) = -1655*k**3 + 2*k - 70. Let r(q) = 6*i(q) + 13*t(q). What is the second derivative of r(z) wrt z?
5082*z
Find the third derivative of -57*a**5 + 22*a**5 - 147*a**2 + 224*a**5 wrt a.
11340*a**2
Let c(h) be the first derivative of -5*h + 0*h**2 - 11/4*h**4 - 12 + 0*h**3. Find the first derivative of c(z) wrt z.
-33*z**2
Let a = 98 + -100. Let k(i) = 3*i**4 + 8. Let m(v) = -6*v**3 + 6*v**3 + 1 - v**4 - 2. Let y(u) = a*k(u) - 4*m(u). Differentiate y(f) with respect to f.
-8*f**3
Let j = 97 - 95. What is the first derivative of u**j - 108 + 24*u**3 + 127 - u**2 wrt u?
72*u**2
Differentiate -3166*c + 1588*c + 1842*c - 274 wrt c.
264
Let c(k) be the second derivative of -5*k**6/2 - k**5/20 - 809*k**4/12 + 661*k. Find the third derivative of c(n) wrt n.
-1800*n - 6
Let t(p) be the third derivative of -p**8/240 + p**4/2 - 4*p**3/3 + 14*p**2. Let l(i) be the first derivative of t(i). Find the first derivative of l(u) wrt u.
-28*u**3
Let b(k) = 3*k**2 - 8. Let m = -9 - -12. Let z(i) = i**3 - 2*i**2 + 8. Let l(w) = m*z(w) + 2*b(w). Find the first derivative of l(v) wrt v.
9*v**2
Let p(q) = 809*q**2 + 18*q + 679. Let v(i) = 