- 11*u**j wrt u.
-22*u
Let m(q) be the second derivative of -q**7/42 + 2*q**5/15 - q**2/2 + 5*q. Let f(b) be the first derivative of m(b). What is the third derivative of f(s) wrt s?
-120*s
Let c(x) = -117*x**2 + 14*x - 122. Let a(d) = 2*d**2 - 2*d + 1. Let n(t) = 35*a(t) + 5*c(t). Find the first derivative of n(i) wrt i.
-1030*i
Let l(q) be the second derivative of -107*q**5/5 + q**3/3 + 25*q**2/2 + 704*q. Find the second derivative of l(v) wrt v.
-2568*v
Suppose 3981 = 17*n + 1125. What is the second derivative of 139*h + h**5 - n*h + h**3 + 0*h**5 wrt h?
20*h**3 + 6*h
Let j(f) be the first derivative of -127*f**5/5 + 173*f + 95. Find the first derivative of j(x) wrt x.
-508*x**3
Let z = 39 - 34. Find the third derivative of -2*q**4 - 9*q**2 + 13*q**4 + z*q**4 - 7*q**2 wrt q.
384*q
Let y(u) be the third derivative of 0*u - 17*u**2 + 0 - 1/20*u**6 + 0*u**4 - 3/20*u**5 + 0*u**3. What is the third derivative of y(q) wrt q?
-36
Find the third derivative of 60*p**5 + 262*p**5 - 3*p - 8*p - 75*p**2 + 11*p wrt p.
19320*p**2
Let m(k) be the third derivative of -23*k**8/336 + k**7/30 - k**5/60 - 11*k**3/3 - 650*k**2. Find the third derivative of m(n) wrt n.
-1380*n**2 + 168*n
Suppose 0 = -5*g - 10, 0*s - 5*g - 4 = 3*s. Differentiate -89*v**s + 89*v**2 + 42*v**3 + 30 wrt v.
126*v**2
Let q(z) be the first derivative of 7*z**6/180 - z**5/10 + z**3 - 7*z + 50. Let k(n) be the third derivative of q(n). Find the second derivative of k(s) wrt s.
28
Let n(v) = v - 1. Let a be n(8). Let j = a + -5. What is the third derivative of 0*t**3 + j*t**2 + 3*t**3 + 2*t**2 wrt t?
18
Differentiate 0*w**4 + 52 - 63*w + 4 + 20 - w**4 wrt w.
-4*w**3 - 63
Suppose 4*r = -r + 15. What is the third derivative of s**3 - 12*s**3 + r*s**3 - 3*s**2 wrt s?
-48
Suppose -2*d + 9 = -l, 0 = -5*d - 4*l + 20 - 4. Differentiate -26 - z - 8*z**d + 32*z**4 + z with respect to z.
96*z**3
Let c(g) be the third derivative of 71*g**4/24 - 59*g**3/3 - 4*g**2 + 5*g. What is the derivative of c(k) wrt k?
71
Let y(z) be the first derivative of -3*z**5/5 - 11*z**4/2 + 84*z**3 + 52. Find the third derivative of y(h) wrt h.
-72*h - 132
What is the second derivative of 307*l - 3572 - 392*l**2 + 3572 wrt l?
-784
Let y(u) be the second derivative of 13*u + 0 + 0*u**3 + 3/4*u**4 - u**2. Find the first derivative of y(w) wrt w.
18*w
What is the third derivative of 3*w**6 + 104*w**2 - 2*w**6 + 20*w**4 + 169*w**2 wrt w?
120*w**3 + 480*w
Let j(u) = 193*u**2 - 4*u - 294. Let w(p) = -97*p**2 + 2*p + 147. Let y(r) = 4*j(r) + 7*w(r). What is the second derivative of y(o) wrt o?
186
Let d(r) be the third derivative of -247*r**8/168 - 35*r**4/24 - 414*r**2. What is the second derivative of d(i) wrt i?
-9880*i**3
Let z = -36 + 298. What is the second derivative of -q + 8*q - z*q**4 + 271*q**4 wrt q?
108*q**2
Suppose 4*t + 16 = -0*t, 5*x = 4*t + 421. Differentiate 81*g - 5*g**4 - 11 - x*g with respect to g.
-20*g**3
Let f(v) be the third derivative of -11*v**5/60 - 17*v**4/6 - 60*v**2. Find the second derivative of f(p) wrt p.
-22
Let d(b) be the first derivative of -41 + 0*b**4 + 19*b**2 - 27/5*b**5 + 0*b + 0*b**3. Find the second derivative of d(f) wrt f.
-324*f**2
Suppose -x + 4*c + 10 = -10, -4*x = 4*c. What is the third derivative of 2 + k**x - 2 - 221*k**2 + 240*k**2 wrt k?
24*k
Let v(w) = -22*w**2 - 341. Let a(y) = 110*y**2 + 1706. Let q(g) = -3*a(g) - 14*v(g). Differentiate q(b) wrt b.
-44*b
Let x(q) = -4 + 19 + 16*q - 30*q**3 - 12. Let o(g) = -30*g**3 + 17*g + 2. Let c(i) = -3*o(i) + 2*x(i). What is the second derivative of c(z) wrt z?
180*z
Suppose -2*h = -7*h + 10. Find the second derivative of 124*b**5 + h*b - 128*b**5 - b**4 + b**4 wrt b.
-80*b**3
Let c(f) = 626*f**2 - 8*f + 108. Let l(h) = 417*h**2 - 5*h + 74. Let p(u) = -5*c(u) + 8*l(u). Differentiate p(v) with respect to v.
412*v
Let s(p) be the first derivative of -11*p**6/6 + p**4/4 - 97*p**3/3 - 154. Find the third derivative of s(a) wrt a.
-660*a**2 + 6
Let j(l) be the second derivative of 81*l**3/2 - 202*l**2 + 3*l + 38. Find the first derivative of j(m) wrt m.
243
Let k(w) be the second derivative of -92*w**6/15 - 106*w**3 + 130*w. Find the second derivative of k(r) wrt r.
-2208*r**2
What is the second derivative of 297*y**2 - 203 + 120 - 50*y + 84 wrt y?
594
What is the first derivative of 24 - 100*v - 105 + 107*v + 153*v wrt v?
160
Suppose -5 + 20 = 3*k. What is the third derivative of 4*p**2 - 2*p**k + 5*p**5 - 4*p**5 - 3*p**5 wrt p?
-240*p**2
Differentiate -3*t - 5 + 0 - 1 + 12 + 2 wrt t.
-3
Let n be -3*((-170)/3)/5. What is the third derivative of n*m**5 - 3*m**2 + 2*m**2 - 4*m**2 - 43*m**5 wrt m?
-540*m**2
Let k(t) = -2*t**2 - t + 1. Let n(u) = -32*u**2 - 140*u + 12. Let i(d) = 12*k(d) - n(d). Find the second derivative of i(z) wrt z.
16
Let s(o) be the second derivative of 17*o**6/5 + 61*o**2/2 + o - 60. Differentiate s(q) wrt q.
408*q**3
Let r(k) = -235*k**4 - 4*k**2 + 106*k - 2. Let n(l) = -704*l**4 - 14*l**2 + 317*l - 7. Let u(t) = 2*n(t) - 7*r(t). Find the second derivative of u(d) wrt d.
2844*d**2
Let k = 55 + -51. What is the third derivative of -16*g**2 + k*g**4 + 2*g**2 + 7*g**4 wrt g?
264*g
Let v(a) = -2*a + 12. Let j be v(5). Find the third derivative of 6*q**2 - 6*q**2 + 18*q**3 + 5*q**j + 3*q**2 wrt q.
108
Find the second derivative of 2 + 64*x**5 + 241*x - 501*x**5 + 65*x**3 + 2*x**4 - 65*x**3 wrt x.
-8740*x**3 + 24*x**2
Let g = 0 + 4. Let w(q) = q**3 + 7*q**2 - 13*q - 38. Let v be w(-8). What is the third derivative of 5*m**4 - 14*m**2 + 11*m**4 + m**4 - v*m**g wrt m?
360*m
Let k(d) be the first derivative of 223*d**6/3 + 209*d**3/3 - 7. Find the third derivative of k(o) wrt o.
26760*o**2
Let w be 17 + (1 + 0)/1. What is the derivative of 9*k**4 + 16 - w*k**4 + 8*k**4 wrt k?
-4*k**3
Let y(g) be the first derivative of 13*g**2/2 - 47*g - 38. Differentiate y(i) wrt i.
13
Suppose 4*n - 18 = -0*n - 5*v, 0 = 5*n + 5*v - 20. What is the third derivative of -12*r**n - 7*r**2 + 7*r**2 + 16*r**3 wrt r?
96
Find the third derivative of -50*p**5 - 113*p**2 - 107*p**2 + 148*p**2 wrt p.
-3000*p**2
What is the first derivative of 0 - 148*j**3 + 78 - 37 wrt j?
-444*j**2
Suppose 0*r = 3*a - r - 1, -3*a - 5 = 5*r. Suppose 2*p + p - 39 = a. Find the second derivative of 0*v - p*v**2 + 23*v**2 - 9*v wrt v.
20
Let m(o) = 3*o**3 - 23*o**2 - 6*o + 132. Let k(h) = h**3 + 2*h**2 - h + 2. Let l(q) = -5*k(q) + m(q). Find the second derivative of l(s) wrt s.
-12*s - 66
Let d(q) be the first derivative of 179*q**4/4 - q + 88. Differentiate d(x) with respect to x.
537*x**2
Let y(q) be the second derivative of q**3 + 0*q**2 + 0 - 1/40*q**5 + 2*q + 5/24*q**4. Let d(c) be the second derivative of y(c). Differentiate d(s) wrt s.
-3
Let j(r) be the first derivative of 133*r**5/5 - 64*r**3 - 2*r + 161. Find the third derivative of j(h) wrt h.
3192*h
Let n(m) be the first derivative of -m**3/3 + 9*m**2/2 + 13*m - 1. Let g be n(10). What is the derivative of -g + 0*s**4 + 2*s**4 - 2 wrt s?
8*s**3
What is the second derivative of -6*z**3 + 154*z**5 - 17 + 3 + 6*z**3 + 12 - 17*z wrt z?
3080*z**3
Let i(d) be the first derivative of 24/5*d**5 - 15 + 0*d**4 + 0*d + 11*d**3 + 0*d**2. What is the third derivative of i(f) wrt f?
576*f
Let c(j) be the second derivative of -2 + 11/12*j**4 + 1/20*j**5 - 6*j + 0*j**3 - 37/2*j**2. Find the first derivative of c(f) wrt f.
3*f**2 + 22*f
Let v(a) be the first derivative of 163*a**4/2 - 497*a**2/2 - 600. Find the second derivative of v(q) wrt q.
1956*q
Let f be (-12)/(-2) - (20/4 - 2). What is the second derivative of 5*n - f*n + 16*n - 16*n**3 wrt n?
-96*n
Differentiate -61*n**2 + 64*n**2 + 52 - 2*n - 49*n**2 + 0*n - 138*n**2 wrt n.
-368*n - 2
Let v = 30 - 26. Differentiate 3*j**4 - 4 - 9*j**v - 6*j**4 - 1 with respect to j.
-48*j**3
Suppose 335 = 4*k - 17. Find the second derivative of -i**3 + 50*i + 25*i**3 - k*i wrt i.
144*i
Let i = -54 - -83. What is the second derivative of -4 - 33*g + 6 - 2 + i*g**3 wrt g?
174*g
Let r(g) = -56*g**3 + 77*g - 8834. Let u(p) = 3*p**3 - 4*p + 465. Let v(y) = -4*r(y) - 77*u(y). What is the first derivative of v(a) wrt a?
-21*a**2
Let h(o) be the third derivative of 0*o**6 + 17/210*o**7 + 0 + 0*o**5 + 0*o + 0*o**4 - 23*o**2 + 16/3*o**3. What is the derivative of h(q) wrt q?
68*q**3
Let f(o