Let i(w) = w**2 + 3. Let u(x) = 22*x - 8*x - 16*x. Let o(z) = -i(z) - 3*u(z). What is the derivative of o(c) wrt c?
-2*c + 6
Let n(q) = -q + 8. Suppose -5 = 5*x, -2*o - 4*x + 2 = -6. Let u be n(o). Find the second derivative of -2*w - 14*w**2 + 14*w**u - 11*w**3 - 2*w wrt w.
-66*w
Let q = -36 + 42. Differentiate -q + 25 - 10 - 8*g**3 with respect to g.
-24*g**2
Let i = 1152 - 1149. Let y(h) be the second derivative of 0*h**i - 1/4*h**5 + 0 + 0*h**4 - 10*h + 2*h**2. What is the derivative of y(s) wrt s?
-15*s**2
Let a(b) be the third derivative of 0*b**4 + 0*b - 15*b**2 + 4/3*b**3 + 1/12*b**6 + 0 + 0*b**5. Differentiate a(w) with respect to w.
30*w**2
Let t(i) be the third derivative of 13*i**8/840 - 4*i**4/3 + 5*i**3/3 - 21*i**2. Let y(z) be the first derivative of t(z). What is the derivative of y(k) wrt k?
104*k**3
Let b(o) be the first derivative of -3*o**7/280 + o**6/72 - 6*o**3 - 22. Let i(p) be the third derivative of b(p). Find the third derivative of i(w) wrt w.
-54
Let u = 43 + -644/15. Let x(c) be the third derivative of 0 + 5*c**2 + 0*c**3 - u*c**5 - 5/24*c**4 + 0*c. Find the second derivative of x(o) wrt o.
-8
Let p be (11 + -4)*6/7. Let a(t) = t - 1. Let r be a(p). Find the third derivative of -5*l**r - 6*l**2 - 22*l**3 + 22*l**3 wrt l.
-300*l**2
Differentiate 5*n**3 - 861*n + 470*n - 4*n**3 - 473 with respect to n.
3*n**2 - 391
Let f = -7 + 20. Let u = -9 + f. What is the second derivative of 17*v + 9*v**4 - 4*v - 18*v**u - 4*v**4 wrt v?
-156*v**2
Suppose 0 = 4*b + 3*g + 12, 2*g = -5*b + 5*g + 12. Let f(q) = -7 - q + b + 2*q + 6*q. Let k(r) = -r - 1. Let d(a) = f(a) - 4*k(a). Differentiate d(h) wrt h.
11
Let p be 0 - (-1)/(1/3). Let b(a) = 2*a. Let s be b(p). What is the second derivative of -2 + 2 - 2*f + s*f**4 wrt f?
72*f**2
Let d(y) = -339*y**3 + 7*y**2 + 436*y - 14. Let v(n) = -170*n**3 + 4*n**2 + 218*n - 8. Let u(k) = -4*d(k) + 7*v(k). Find the second derivative of u(f) wrt f.
996*f
Let h(d) = d**4 - d**2 + d. Let s(g) = -196*g**4 + 8*g**2 + 112*g. Let b(v) = -8*h(v) - s(v). Find the second derivative of b(w) wrt w.
2256*w**2
Let d(p) be the first derivative of p**10/252 - p**6/45 + 23*p**3/3 + 12. Let i(y) be the third derivative of d(y). Find the third derivative of i(m) wrt m.
2400*m**3
Suppose 5*f + 45 + 15 = 0. Let a(y) = y**2 + 10*y + 5. Let g be a(f). What is the third derivative of -n**2 + 11*n**2 - g + 10*n**4 + 29 wrt n?
240*n
Let y be (180/(-75))/((-2)/10). Suppose -3*h = h + 2*b - y, -8 = -h + 2*b. Find the second derivative of -h*o - 7*o + 4*o + o**2 wrt o.
2
Let d(w) = 60*w**2 + 1007. Let s(j) = -12*j**2 - 202. Let t(v) = -4*d(v) - 22*s(v). Differentiate t(h) wrt h.
48*h
Let z(w) be the second derivative of -w**6/10 + 181*w**5/20 - 2*w**3/3 - w**2 + 44*w + 5. Find the second derivative of z(q) wrt q.
-36*q**2 + 1086*q
Let u(z) be the first derivative of -13*z**5/60 + z**3/3 + 3*z**2/2 - 9. Let j(h) be the second derivative of u(h). Differentiate j(r) wrt r.
-26*r
Let p(g) be the second derivative of -g**6/5 + g**5/4 + 8*g**4/3 - 2*g**2 + 490*g. Find the third derivative of p(t) wrt t.
-144*t + 30
Let d(f) be the second derivative of -37*f - 25*f**2 + 2 + 5/2*f**3. What is the first derivative of d(l) wrt l?
15
Suppose 6 = 3*v - 12. Find the first derivative of v*i - 6*i - 3*i**4 - 3 - 2*i**4 wrt i.
-20*i**3
Suppose -2*y + 604 = 2*y. Let u be y + (2 - 1) + -4. What is the derivative of 148*k + 2 - u*k - 3*k**3 wrt k?
-9*k**2
Let q(n) = -15*n**4 + 8*n**3 - 8*n**2 + 4. Let m(f) = 5*f**4 - f**3 - f**3 - 1 + 0*f**3 + 3*f**2 - f**3. Let c(w) = -8*m(w) - 3*q(w). Differentiate c(y) wrt y.
20*y**3
Differentiate -173*h - 89*h - 117*h - 15*h - 178 wrt h.
-394
Let s be 1/((1/4)/1). Let j = 86 - 83. What is the third derivative of j*n**4 + 0*n**s + 17*n**2 - 11*n**2 wrt n?
72*n
Let t(g) be the third derivative of g**8/10080 + g**7/1260 + g**5/30 - g**2. Let v(z) be the third derivative of t(z). Find the second derivative of v(w) wrt w.
4
Let v = 6129/2 + -3062. Let b(f) be the second derivative of 0*f**2 + 7/6*f**4 + 0 + v*f**3 - 8*f. Find the second derivative of b(j) wrt j.
28
Let f(l) be the second derivative of 0*l**2 + 0*l**3 + 0 + 5/4*l**5 - 19*l + 23/12*l**4. What is the third derivative of f(b) wrt b?
150
Let j = 0 + 4. Suppose -a = -j*a + 15. What is the third derivative of -6*c**2 - 5*c**5 - c**4 + c**a + c**4 wrt c?
-240*c**2
What is the third derivative of 4 + 2*m**3 + 822*m**4 - 11*m**2 - 737*m**4 + 4*m**3 - 4*m**3 wrt m?
2040*m + 12
Suppose -5*d - 4*p + 27 = -14, -4*d + 24 = p. Suppose 5*k - 5*i = 0, -d*k - 3*i + 2 = -7*i. Differentiate 0*h**2 - 2*h**2 + 1 + 2*h**2 + 2*h**k wrt h.
4*h
Let p(n) be the third derivative of -49*n**6/40 - 3*n**3 + 149*n**2. What is the first derivative of p(w) wrt w?
-441*w**2
Suppose -2*c + 0*c - 2*s = -4, 3*c - 4*s - 13 = 0. What is the second derivative of 19*v**3 + 8*v**c + 33*v - v**3 wrt v?
156*v
Let m(r) = -17*r**2 - 50*r - 107. Let c(s) = -4*s**2 - 12*s - 27. Let l(o) = 26*c(o) - 6*m(o). What is the first derivative of l(k) wrt k?
-4*k - 12
Let x(m) be the second derivative of 0 + 0*m**5 + 2*m + 2/3*m**3 + 0*m**2 + 5/21*m**7 + 0*m**4 + 0*m**6. What is the second derivative of x(p) wrt p?
200*p**3
Suppose p = -5*o + 78, 3*p = -3*o - p + 57. Suppose -3*j - 4*k + 18 = 0, -8*j + 4*k = -3*j + 2. Find the third derivative of o*t - 15*t - 4*t**5 + 2*t**j wrt t.
-240*t**2
Find the second derivative of 3*m**5 - 2*m**3 - 8*m**5 + 356*m + 6*m**5 + 10*m**5 - 2*m**3 wrt m.
220*m**3 - 24*m
Let b(k) be the first derivative of -22/3*k**3 + 0*k**2 + 0*k**5 + 0*k - 23/7*k**7 + 0*k**4 + 0*k**6 - 17. What is the third derivative of b(r) wrt r?
-2760*r**3
Let f(i) be the third derivative of 0*i + 5/2*i**3 + 3*i**2 + 0 + 0*i**4 + 13/60*i**5. Differentiate f(m) with respect to m.
26*m
Let x(j) = -3*j**2 - j. Let m(c) = 173*c**2 - 206*c. Let u(z) = m(z) - 5*x(z). Find the second derivative of u(k) wrt k.
376
Let h(d) = -41*d**3 - 297*d**2 + 5*d + 305. Let j(q) = 23*q**3 + 149*q**2 - 3*q - 153. Let p(b) = -4*h(b) - 7*j(b). What is the second derivative of p(i) wrt i?
18*i + 290
Let s(a) be the second derivative of 79*a**4/12 - a**3/2 - 212*a**2 - 388*a. What is the first derivative of s(w) wrt w?
158*w - 3
Let l(g) be the third derivative of -g**6/30 - 17*g**5/20 - g**3/3 - 96*g**2. What is the third derivative of l(j) wrt j?
-24
What is the second derivative of 530*u - 451*u**5 + 689*u**5 - 535*u**5 + 117*u wrt u?
-5940*u**3
What is the second derivative of -176*t - 102*t + 71*t**2 - 733*t**2 - 346*t + 24*t wrt t?
-1324
Let x(h) = 178*h - 131. Let k(l) = l - 6. Let b(w) = 5*k(w) - x(w). What is the first derivative of b(i) wrt i?
-173
Let t(g) = 434*g**2 + 18*g - 299. Let r(h) = -216*h**2 - 10*h + 149. Let f(k) = -7*r(k) - 4*t(k). What is the second derivative of f(v) wrt v?
-448
Suppose 4*f + 14 = 3*f. Let p = 17 + f. Find the second derivative of 0*i + 3*i - i - 6*i**4 + p*i wrt i.
-72*i**2
Let r(s) = s**5 - s**3 + s. Let n(j) = 14*j**6 - 5*j**5 + 6*j**3 - 128*j**2 - 6*j. Let o(u) = n(u) + 6*r(u). Find the third derivative of o(z) wrt z.
1680*z**3 + 60*z**2
Let m = -11 - -45. Let i = -31 + 35. What is the second derivative of -m*t**i + 34*t**4 - 5*t**5 + 3*t wrt t?
-100*t**3
Let s(v) be the third derivative of 6*v**5/5 - 13*v**3/2 + 135*v**2. What is the derivative of s(n) wrt n?
144*n
Let m(s) be the first derivative of 8*s**6/3 - 13*s**4/4 + 193*s**2/2 + 250. Find the second derivative of m(j) wrt j.
320*j**3 - 78*j
Let j(r) = 453*r**3 + 1288*r**2 - 5*r - 5. Let n(q) = -227*q**3 - 642*q**2 + 2*q + 2. Let p(g) = 2*j(g) + 5*n(g). What is the third derivative of p(a) wrt a?
-1374
Suppose 8*b = 19 + 13. Let f(s) be the first derivative of 0*s - 3 + 2*s**2 + 1/4*s**b + 0*s**3. Find the second derivative of f(o) wrt o.
6*o
Let c(z) = 3*z**2 - z - 26. Let u be c(-6). Let i(v) = 27*v + 7. Let j be i(3). Find the second derivative of u - j - 4*x**2 - 7*x wrt x.
-8
Let r be (6/4)/(18/24). What is the first derivative of -1 - 8 - 6*n**r - 3 + 17*n**2 wrt n?
22*n
Let l(v) = 2*v**4 + 5*v**3 + 21*v - 4. Let f(n) = -n**4 - n**3 - n + 1. Let p(s) = -4*f(s) - l(s). What is the second derivative of p(w) wrt w?
24*w**2 - 6*w
Let d = 73/244 - 3/61. Let w(n) be the second derivative of 0 - 6*n + 1/2*n**3 + 0