*n - 8. Let o(s) = a*b(s) - 2*t(s). Differentiate o(i) with respect to i.
1
Let l(z) = -84*z**4 - 40*z**3 - 301*z - 5. Let h(g) = -29*g**4 - 13*g**3 - 101*g - 2. Let i(n) = 8*h(n) - 3*l(n). What is the second derivative of i(k) wrt k?
240*k**2 + 96*k
Let h(f) be the second derivative of -7*f**4/12 - 277*f**3/6 + 35*f - 4. What is the second derivative of h(v) wrt v?
-14
What is the derivative of -500 - 10*w**4 + 10*w - 27*w**4 + 18*w**4 + 44*w**4 wrt w?
100*w**3 + 10
Let h = -24 - -27. Let j be 74/6 - 1/h. Differentiate -2*m**3 + 5 - j - 8*m**3 wrt m.
-30*m**2
Let u(i) = 174*i**4 - 254*i**2 - 6*i + 18. Let f(n) = -173*n**4 + 252*n**2 + 7*n - 21. Let r(q) = -6*f(q) - 7*u(q). What is the third derivative of r(w) wrt w?
-4320*w
Let r(b) be the first derivative of -7*b**6/3 + 2*b**5/5 + b**3/3 + 70*b + 58. Find the third derivative of r(c) wrt c.
-840*c**2 + 48*c
Let n(v) = -v**3 + 19*v**2 + 21*v + 3. Let l be n(20). What is the derivative of -184*r**2 - 14 - l*r**3 + 184*r**2 wrt r?
-69*r**2
Let p(m) be the third derivative of 7*m**6/24 + m**5/30 + 37*m**4/12 + 2*m**2 - 1. What is the second derivative of p(d) wrt d?
210*d + 4
Let l(d) be the third derivative of d**8/560 - d**6/90 + 3*d**3/2 - 12*d**2. Let i(o) be the first derivative of l(o). Find the third derivative of i(b) wrt b.
72*b
What is the third derivative of -607*z**2 + 3*z**4 + 925*z**2 - 4*z**3 + 15*z**3 wrt z?
72*z + 66
Let a(f) be the second derivative of 0*f**5 + 0*f**3 + 0*f**4 + 2*f + 17/30*f**6 - 3/2*f**2 + 0. Differentiate a(v) wrt v.
68*v**3
Let b(h) = -13*h**3 + 217*h**2 + 26*h + 309. Let g(u) = -7*u**3 + 108*u**2 + 14*u + 155. Let d(t) = 6*b(t) - 11*g(t). Find the second derivative of d(f) wrt f.
-6*f + 228
Suppose m = -5*u + 64, -4*m = -4*u - 2*m + 54. Find the third derivative of -18*a**2 + 81*a**4 - 81*a**4 + u*a**5 wrt a.
780*a**2
Let o(h) be the first derivative of h**4/2 + h + 5. Let q be o(1). Find the second derivative of -x - q*x + 4*x**3 - 2*x wrt x.
24*x
Let g(o) be the first derivative of o**6/3 + 187*o**4/2 + 109*o**2/2 + o + 467. Find the second derivative of g(s) wrt s.
40*s**3 + 2244*s
Suppose 48*u = 53*u - 15. Find the second derivative of 26 + 10*g**u - 26 - 11*g wrt g.
60*g
Let b(f) = 95*f**2 + 4. Let l be b(3). Find the third derivative of 859 - l + 19*x**3 + 28*x**2 wrt x.
114
Let j(p) = -2*p - 5. Let k be j(-4). Suppose 18 = 10*g - 2. Find the third derivative of -4*b**3 + 0*b**k - 5*b**2 + 3*b**g - 5*b**2 wrt b.
-24
Let l(k) be the first derivative of -37/3*k**3 + 0*k + 0*k**4 + 32 + 0*k**5 + 0*k**2 - 1/6*k**6. Find the third derivative of l(g) wrt g.
-60*g**2
Let w(y) be the third derivative of 1/20*y**6 + 0*y**4 + 0*y + 0*y**5 + 6*y**3 + 0 + 8*y**2. Differentiate w(g) wrt g.
18*g**2
Let j(o) be the second derivative of -7*o**6/720 + 9*o**5/40 + 13*o**4/6 + 4*o. Let f(n) be the third derivative of j(n). Differentiate f(x) wrt x.
-7
Let y = 1/1193 - -1189/4772. Let h(d) be the first derivative of 0*d**2 - y*d**4 + 0*d + 2/3*d**3 + 8. Find the third derivative of h(z) wrt z.
-6
Suppose -3*o + 3 = -9. Let p(v) = -13*v + 8. Let x(z) = 40*z - 25. Let c(r) = o*x(r) + 11*p(r). What is the first derivative of c(j) wrt j?
17
Let c(y) be the second derivative of 5*y**6/2 + 17*y**2 + 10*y + 2. What is the first derivative of c(i) wrt i?
300*i**3
Let v(n) = n**2. Let b(y) = -936*y**2 + 80*y - 4. Let q(g) = b(g) + 10*v(g). Find the second derivative of q(a) wrt a.
-1852
Find the first derivative of -175*x**2 - 141 - 50 - 2*x + 4*x + 32 wrt x.
-350*x + 2
Let w(r) = -r - 1. Let n(z) = -40*z**2 - 49*z - 2. Let p(t) = n(t) - 2*w(t). What is the second derivative of p(g) wrt g?
-80
Suppose 4 = -q - k - 0*k, 0 = 3*q - 3*k - 12. Let n(u) be the first derivative of q*u - 9/2*u**2 + 6 - 4/3*u**3. What is the second derivative of n(g) wrt g?
-8
Let g(s) = 2*s + 10. Let y be g(5). Let t be 15/y + (-9)/(-4). Find the first derivative of -8 - 9*q**t + 79*q**2 - 79*q**2 wrt q.
-27*q**2
What is the derivative of 155 + 9*d**4 + 43 - 333 wrt d?
36*d**3
Let x(t) be the first derivative of 23*t**6/6 + 73*t**2/2 - 25. What is the second derivative of x(s) wrt s?
460*s**3
Let t(p) be the second derivative of 0*p**4 + 41*p + 31/2*p**2 + 0*p**3 + 0*p**5 - 14/15*p**6 + 0. Find the first derivative of t(o) wrt o.
-112*o**3
Find the second derivative of 261*x**2 + 76*x**5 - 261*x**2 + 4 + 2*x wrt x.
1520*x**3
Let k(j) = j + 1. Let q(i) = 7*i + 29. Let t(w) = 2*k(w) + q(w). What is the derivative of t(a) wrt a?
9
Let g(x) = x - 4. Let f be g(11). Let y(k) = -k**2 + 8*k + 3. Let s be y(f). Find the second derivative of 2 - 2 - 211*t + 208*t + s*t**2 wrt t.
20
Let g(u) = -31*u**2 + 2*u + 21. Let o(n) be the second derivative of -n**3/6 - n. Let y(b) = -g(b) - 2*o(b). Differentiate y(x) with respect to x.
62*x
Find the first derivative of 99*w**2 - 105 + 140*w**2 - 9 wrt w.
478*w
What is the second derivative of 29*h + 10 + 9 - 20 - 153*h**4 wrt h?
-1836*h**2
Suppose 8*t = 68 + 92. What is the first derivative of 7 + 14*p + 17 + t*p - 6 wrt p?
34
Let c(g) be the second derivative of 20*g**3/3 - 11*g**2/2 - 88*g. What is the first derivative of c(x) wrt x?
40
Let b be 8729/7 + 1/(2/6). What is the third derivative of -1250*k - 20*k**6 - 14*k**2 + b*k wrt k?
-2400*k**3
Let l be 11 + -4 + -1 + 3. What is the third derivative of 0*a**4 - a**4 + l*a**4 + 2*a**4 - 10*a**2 wrt a?
240*a
Let k(a) = 2*a**2 - 2*a + 1. Let f(s) = -318*s**3 + 11*s**2 - 7*s + 7. Let d(z) = -f(z) + 7*k(z). Find the third derivative of d(p) wrt p.
1908
Suppose 2*k = -3*k + 10. Find the first derivative of -4 + 12 - 43*d**2 + 37*d**2 + k wrt d.
-12*d
Let m(s) be the first derivative of s**4/8 + 13*s**3/6 + 11*s**2/2 + 4. Let u(v) be the second derivative of m(v). Differentiate u(a) wrt a.
3
Suppose 5*v - 5 = 15. Suppose v*w - 7 = 1. Differentiate -4 - w*k + 2*k + 7 - k with respect to k.
-1
Let q = 60 + -58. What is the third derivative of -8*w**4 + 3*w**4 - 12*w**2 - 2*w**q - 2*w**2 wrt w?
-120*w
Let i(d) = 4*d - 15. Let a be i(4). Let j(z) = 5*z**2 - 3*z + 3. Let p be j(a). Find the second derivative of 9*u**3 + 92 - 92 + p*u wrt u.
54*u
Let h(f) be the first derivative of 38*f**3/3 - 16*f - 61. Find the first derivative of h(m) wrt m.
76*m
Let n(p) be the second derivative of -13/30*p**6 + 0 + 0*p**2 + 23*p + 0*p**5 + 13/3*p**3 + 0*p**4. What is the second derivative of n(r) wrt r?
-156*r**2
Let n(t) = 12 - 2*t - 6*t - t. Let r(q) = -5*q + 6. Suppose -u = -z - 4, 3*z + 5 + 5 = 4*u. Let o(j) = z*n(j) + 11*r(j). Differentiate o(s) wrt s.
-1
Let g be (95/(-10) - -8) + (-14)/(-4). Let a(y) be the third derivative of 0 + 0*y**4 - y**g + 0*y - 5/6*y**3 + 1/15*y**5. What is the derivative of a(m) wrt m?
8*m
Let y(q) be the third derivative of 1/15*q**5 + 0*q**3 - 1/8*q**6 + 0 + 0*q**4 + 0*q - 5*q**2. What is the third derivative of y(m) wrt m?
-90
Find the third derivative of 331*w**2 - 212*w**2 - 460*w**5 - 6*w + 6*w + 402*w**2 wrt w.
-27600*w**2
Let p = 64 + -66. Let h(d) = -29*d**2 - 2*d - 5. Let c(k) = -86*k**2 - 7*k - 15. Let w(j) = p*c(j) + 7*h(j). What is the first derivative of w(i) wrt i?
-62*i
Let j(q) = q + 1. Let p be j(1). Let g(s) = 4*s**2 + 14*s + 8. Let f be g(-3). Differentiate -3*x**f + 3*x**p + 0 + 7*x**4 + 10 with respect to x.
28*x**3
Differentiate w**2 - 7*w**2 + w**2 + 54*w + 3*w**2 + 175 + 0*w**2 wrt w.
-4*w + 54
Find the third derivative of -7*x**6 + 173*x - 44*x**2 - 173*x wrt x.
-840*x**3
Suppose 2*a - 8 = -2. Find the third derivative of 68*b - 68*b + 2*b**2 - 6*b**a wrt b.
-36
Let q = -6959/30 + 232. Let i(y) be the third derivative of -3*y**2 + 5/24*y**4 + 0*y**3 + 0*y + 0 - q*y**5. Find the second derivative of i(k) wrt k.
-4
Let b(x) be the second derivative of -19*x**4 + x**3/6 - 49*x**2/2 + 4*x - 17. What is the second derivative of b(c) wrt c?
-456
Let y(h) be the second derivative of -h**5/3 - 5*h**3/6 - 13*h**2/2 - 7*h. Let t(x) be the first derivative of y(x). What is the derivative of t(m) wrt m?
-40*m
Let n(m) = 87*m**4 - 6*m**3 + 6*m + 51. Let l(b) = 175*b**4 - 11*b**3 + 11*b + 103. Let s(x) = -6*l(x) + 11*n(x). Find the first derivative of s(j) wrt j.
-372*j**3
Suppose 0 = m + 3*m + 8. Let w(d) = -45*d**4 - 19*d + 5. Let s(f) = 22*f**4 + 10*f - 2. Let j(b) = m*w(b) - 5*s(b). What is