- 258
What is the derivative of 59*j**2 - 28*j**2 + 55 - 4*j - 23*j**2 wrt j?
16*j - 4
Let q(w) be the first derivative of -176*w**5/5 + 428*w + 267. Find the first derivative of q(v) wrt v.
-704*v**3
Let j(c) be the first derivative of -19 + 0*c**2 + 0*c - 9/5*c**5 + 0*c**4 + 28/3*c**3. What is the third derivative of j(o) wrt o?
-216*o
Let s(a) be the first derivative of -3*a**5/5 + 14*a**3/3 - 29*a + 11. Find the first derivative of s(x) wrt x.
-12*x**3 + 28*x
Find the third derivative of -40 + 47*k**2 + 445*k**3 + 24 - 100*k**3 + 18 wrt k.
2070
Find the third derivative of -u**4 - 7*u**6 + 23*u**2 - 4*u**5 + 2*u**6 - 179*u**2 + 4*u**5 wrt u.
-600*u**3 - 24*u
Let h(c) be the second derivative of -2/21*c**7 + 1/6*c**4 + 0*c**6 + 0 + 0*c**3 + 0*c**5 + 0*c**2 - 4*c. What is the third derivative of h(o) wrt o?
-240*o**2
Let w(z) be the third derivative of 0*z + 0*z**5 + 0 - 1/12*z**6 + 0*z**4 + 8*z**2 - 11/6*z**3. Differentiate w(r) wrt r.
-30*r**2
Let g(p) = -4*p - 4. Let t be g(-7). Suppose 0 = 4*m + 3*a - 2*a - t, 0 = 4*m + 4*a - 36. What is the second derivative of -3*z**m + 9*z - z**5 + 0*z wrt z?
-80*z**3
Let g(t) = t**3 - 4*t**2 - 6*t + 9. Let n be g(5). Suppose l - 280 = -4*l. Differentiate l*f + 4 - 5*f**n - 56*f with respect to f.
-20*f**3
Suppose -3*l - 6 - 6 = 0. Let h = l - -5. Differentiate -7*m + 7*m - h + m**2 with respect to m.
2*m
Let g(j) = -j**2 + j + 2. Let q = -31 - -31. Let a be g(q). Find the third derivative of d**4 + 5*d**4 - 5*d**4 - 8*d**a + d**4 wrt d.
48*d
Find the second derivative of 16*b + 5*b - 37*b - 32*b - 78*b**2 wrt b.
-156
Suppose 5*k - 11 = 14. Find the third derivative of -2*l**3 - 9*l**2 - k*l**3 - 2*l**3 + 7*l**3 wrt l.
-12
Let c(t) = -3*t + 12. Let v(w) = w**3 + 2*w - 8. Let m be v(2). Let k(z) = -15*z + 61. Let o(l) = m*k(l) - 22*c(l). What is the derivative of o(q) wrt q?
6
Suppose 0 = 2*l - 2, g - 3*g + 9 = l. Suppose c - g*c = -18. What is the second derivative of 7*n - n**4 - c*n + 0*n**4 wrt n?
-12*n**2
Let m(g) = -98*g**3 - g**2 - g + 112. Let c(u) = u**2 + u + 1. Let n(s) = c(s) + m(s). Differentiate n(b) with respect to b.
-294*b**2
Let f(m) = m**5 + m**3 + m**2 + 3*m. Let i(b) = 127*b**5 - 5*b**3 - 5*b**2 + 56*b. Let d(x) = 5*f(x) + i(x). What is the second derivative of d(p) wrt p?
2640*p**3
Let m(a) = -a**3 + 9*a**2 + a - 12. Let h be m(5). What is the third derivative of h*j + 95*j - 8*j**2 - 188*j + 8*j**4 wrt j?
192*j
Let c(z) be the third derivative of -z**2 + 1/60*z**5 + 0*z**3 + 0*z + 2/105*z**7 + 0*z**6 + 0*z**4 + 0. What is the third derivative of c(o) wrt o?
96*o
Let b(k) be the second derivative of k**7/42 - 27*k**5/20 + 13*k**4/2 - k**3/3 + 55*k - 2. What is the third derivative of b(m) wrt m?
60*m**2 - 162
Let b(z) be the first derivative of 23*z**5 + 2*z**3/3 - 16*z - 43. Find the third derivative of b(m) wrt m.
2760*m
Let t(i) be the first derivative of -1/3*i**3 + 24 + 0*i**6 + 0*i**2 + 4*i**7 + 0*i**5 + 0*i + 0*i**4. Find the third derivative of t(c) wrt c.
3360*c**3
Let u be -5*8/(-50)*(-10)/(-4). What is the first derivative of -2*f**u + 6 + 5*f - 4*f + 6 + 2*f wrt f?
-4*f + 3
Let y(u) be the second derivative of -25*u**6/6 + 32*u**3/3 - 5*u - 24. What is the second derivative of y(c) wrt c?
-1500*c**2
Let j(x) be the second derivative of 379*x**4/12 - 263*x**2 + 420*x. What is the first derivative of j(z) wrt z?
758*z
Let n(c) be the first derivative of -7*c**3/6 + 3*c**2 - 2*c - 3. Let r(i) be the first derivative of n(i). Find the first derivative of r(v) wrt v.
-7
Let b(y) = 6*y**2 - 5*y + 142. Let a(m) = m**2 - m - 1. Let g(j) = -5*a(j) + b(j). What is the derivative of g(d) wrt d?
2*d
Suppose 0 = 2*d - 0*d - 4. Find the third derivative of -d*m**2 + m**3 - 10*m**2 + 2*m**3 wrt m.
18
Let b(j) be the third derivative of -5/3*j**3 + 2*j**2 + 11/20*j**5 + 1/12*j**4 + 0 - 42*j. What is the first derivative of b(u) wrt u?
66*u + 2
Let d(v) be the first derivative of 93*v**3 + 467*v**2/2 - 185. Find the second derivative of d(f) wrt f.
558
Let f(n) be the third derivative of n**9/6048 - n**6/80 - n**5/30 + 9*n**2. Let u(o) be the third derivative of f(o). Differentiate u(g) wrt g.
30*g**2
Let d = 239 + -236. Let y(s) be the third derivative of 0 + 1/12*s**5 - 2*s**2 + 0*s**d - 1/6*s**4 + 0*s. Find the second derivative of y(n) wrt n.
10
Let j(b) be the third derivative of 37*b**9/252 - 7*b**5/12 - 64*b**2. What is the third derivative of j(q) wrt q?
8880*q**3
Let y(v) = -2*v**3 - v**2 - 2*v - 1. Let k be y(-2). Find the third derivative of 22*c**3 - 50*c**3 + k*c**3 - 3*c**2 wrt c.
-78
Let c = 11 + -12. Let u be (-510)/105*(-6 + c). What is the second derivative of -46*d + 26*d + u*d + d**2 wrt d?
2
Let y = 13 - 11. Find the third derivative of -2*t**3 + 6*t**2 + 2*t**3 - y*t**5 - 7*t**2 wrt t.
-120*t**2
Differentiate -118*g**2 + 5*g**3 + 47 + 0 - 489 - 3*g**3 - 405 with respect to g.
6*g**2 - 236*g
Let y(n) = -119*n**3 + 68*n**2 + 4*n - 5. Let t(c) = -118*c**3 + 69*c**2 + 3*c - 4. Let b(x) = -5*t(x) + 4*y(x). What is the third derivative of b(a) wrt a?
684
Suppose 5*q = -0*q + 10. Find the third derivative of 3*c**5 - 6*c**2 + 3*c**2 + 7*c**5 + q*c**2 wrt c.
600*c**2
Let i(h) be the first derivative of 5*h**7/14 + 7*h**3/3 - 22*h - 10. Let w(a) be the first derivative of i(a). What is the second derivative of w(f) wrt f?
300*f**3
Let h(f) be the first derivative of 13*f**4 - f**3/3 + 729*f**2/2 + 578. What is the second derivative of h(k) wrt k?
312*k - 2
Let s = 14 + -9. Suppose s*n - 21 - 4 = 0. What is the second derivative of 7*r**5 + r - 3*r - 9*r**n - r wrt r?
-40*r**3
Find the third derivative of -159*c - 256*c**4 + 440*c - 2*c**2 - 45*c + 42*c**4 wrt c.
-5136*c
Let x(q) be the first derivative of 8*q**7/105 + 11*q**4/24 + q**2 - 20. Let m(g) be the second derivative of x(g). What is the second derivative of m(h) wrt h?
192*h**2
Let f(g) = -4*g**2 + 453. Let r(q) = -q**2 + 227. Let t(v) = -4*f(v) + 7*r(v). Find the first derivative of t(d) wrt d.
18*d
Let u = -118 - -486. What is the second derivative of 368 + 9*o**4 - u - 30*o**4 + 16*o wrt o?
-252*o**2
Let g(x) be the third derivative of 2*x**7/105 + x**6/20 - 7*x**5/6 + 2*x**2 + 37. What is the third derivative of g(q) wrt q?
96*q + 36
Let o(v) = -v - 11. Let p be o(-14). Let x(g) be the first derivative of 5*g + p - g + 8*g - 2*g**3 + 9. Differentiate x(q) with respect to q.
-12*q
Let p be 140/(-350)*2/(-48). Let a(w) be the third derivative of 0 + 1/6*w**3 - 5*w**2 + 0*w**4 + p*w**5 + 0*w. Differentiate a(x) wrt x.
2*x
Let x be 4/(-7) - 195/(-35). What is the derivative of -x*s**2 + 1066*s - 1066*s - 5 wrt s?
-10*s
What is the second derivative of 31*l + 134*l**2 - 65*l**2 - 8*l wrt l?
138
Let w = 285 + -281. Let i(b) be the second derivative of 2*b**2 + 3*b + 0 - 1/12*b**w + 0*b**3. Find the first derivative of i(g) wrt g.
-2*g
Let q(y) be the first derivative of 705*y**4/4 + 162*y**3 + 868. Find the third derivative of q(p) wrt p.
4230
Let q(c) = c + 4. Let a(t) = -3*t - 9. Let p(n) = -4*a(n) - 10*q(n). Let v be p(3). What is the third derivative of 18*b**2 - 5*b**2 + b**v - b**2 + b**4 wrt b?
24*b
Suppose -8*t - 29 + 5 = 0. Let s(p) = p**3 - 16. Let m(n) = -1. Let f(d) = t*m(d) - s(d). What is the derivative of f(g) wrt g?
-3*g**2
Suppose -2*o = g - 2*g + 25, o + 17 = 2*g. Let w = o + 11. Differentiate p + w*p - 1 - 5 wrt p.
1
What is the derivative of 40*r**2 - 23*r**2 - r + 14*r**2 + 85 + 31*r**2 wrt r?
124*r - 1
Find the first derivative of 280 - 14*n**2 + 451 - 9*n + n**2 - 28*n wrt n.
-26*n - 37
Let p(c) be the second derivative of -103*c**4/12 - 10*c**3/3 + 284*c. What is the second derivative of p(f) wrt f?
-206
Let y = -8 + 14. Let s be -4*((-15)/y + 2). Find the third derivative of -12*h**6 - 4*h**6 - 6*h**s + 2*h**6 wrt h.
-1680*h**3
Let f(x) be the third derivative of -4*x**3 + 21*x**2 + 0 + 1/60*x**5 + 0*x + 0*x**4. Differentiate f(b) with respect to b.
2*b
Let n(r) = r**6 - r**4 - r**2 - r + 1. Let v(t) = -142*t**6 - 4*t**4 - 139*t**2 - 4*t + 2. Let f(x) = 4*n(x) - v(x). Find the third derivative of f(k) wrt k.
17520*k**3
Let k(r) = -148*r**2 + 3*r - 13. Let n(t) = -80*t**2 + 2*t - 6. Let y(x) = 6*k(x) - 11*n(x). What is the second derivative of y(g) wrt g?
-16
Let r(t) be the third deriva