e of k(i) wrt i.
100*i**3 - 8
Let g(i) = 39*i**4 + 2*i**3 - 340. Let t(a) = -79*a**4 - 4*a**3 + 679. Let k(s) = 11*g(s) + 6*t(s). Differentiate k(c) wrt c.
-180*c**3 - 6*c**2
Let r = -72 - -104. Suppose r = 5*y - y. What is the second derivative of -34 - m - 7*m**3 + y*m + 34 wrt m?
-42*m
Let m(a) be the first derivative of 0*a - 5 + 11/4*a**4 + 0*a**2 - 6*a**3. Find the third derivative of m(q) wrt q.
66
Differentiate 0 + 4 - 36*t**4 + 109*t**4 - 3 - 225 wrt t.
292*t**3
Let y = 50 - 41. Find the third derivative of -y*s + 21*s - 12*s + 7*s**2 + 16*s**5 wrt s.
960*s**2
Let c(f) = 359*f**3 + 9*f**2 + 122*f. Let t(s) = -180*s**3 - 4*s**2 - 61*s. Let d(r) = 4*c(r) + 9*t(r). What is the second derivative of d(p) wrt p?
-1104*p
Let f(t) = 3*t**2 - 4*t - 241. Let g(y) = 2*y**2 - y - 2. Let k(o) = f(o) + 3*g(o). Differentiate k(v) with respect to v.
18*v - 7
Let y be (-2)/(-16) - (39/(-8) + 2). What is the third derivative of -y*f**6 + 23*f**2 + f**2 + 2*f**2 wrt f?
-360*f**3
Let f(x) be the third derivative of -11*x**6/24 + 17*x**5/15 + 24*x**2. What is the third derivative of f(k) wrt k?
-330
Let i(l) = 67*l**4 - 3*l**3 - 10*l**2 + 5*l - 207. Let y(b) = -b**3 - 2*b**2 + b + 1. Let t(d) = -i(d) + 5*y(d). Differentiate t(r) with respect to r.
-268*r**3 - 6*r**2
Let j(b) be the first derivative of -5*b**6/6 + 4*b**5/5 + b**2 - 77*b - 312. What is the second derivative of j(a) wrt a?
-100*a**3 + 48*a**2
Let f(s) = -25*s - 29. Let o(a) = 4*a + 19. Let x(j) = 2*j - 1. Let q(h) = -o(h) - 4*x(h). Let d(t) = 4*f(t) - 7*q(t). Differentiate d(l) wrt l.
-16
Let u(j) be the third derivative of -j**7/30 + j**6/15 + 43*j**3/6 + 73*j**2. Differentiate u(c) wrt c.
-28*c**3 + 24*c**2
Let m(f) = 4*f**2 - f**2 + 2 + 2*f**2 - 2*f**2 + 3*f. Let g be m(-1). Find the second derivative of 8*d**3 + 0*d**2 - 3*d**2 - d + 3*d**g wrt d.
48*d
Let j(r) = -3*r**3 + r - 2. Let w(p) = 209*p**4 - 12*p**3 - 143*p**2 + p - 8. Let o(q) = -4*j(q) + w(q). What is the third derivative of o(h) wrt h?
5016*h
Let x(p) be the second derivative of 47*p**6/3 - p**3/2 + 135*p**2/2 - 39*p + 7. Find the second derivative of x(s) wrt s.
5640*s**2
What is the second derivative of -241*r + 149*r + 82*r**2 + 32*r**2 - 193*r - 48*r**2 wrt r?
132
What is the third derivative of -8*y**2 + 4*y**2 - 2 + 11 + 8*y**2 - 309*y**3 wrt y?
-1854
Let h(f) = -f**3 + 11*f**2 + 25*f + 18. Let g be h(13). Find the first derivative of 6*r + g*r - 6*r - 8 wrt r.
5
Let j(m) = 2*m**2 - 10*m + 3. Let r be j(4). Let s = r - -16. Find the third derivative of 35*k**4 - 21*k**4 - 14*k**4 + s*k**6 + 8*k**2 wrt k.
1320*k**3
Let u(f) be the first derivative of 0*f**2 + 6 + 0*f**4 + 0*f**5 + 0*f**6 + 9/7*f**7 + 2/3*f**3 + 0*f. Find the third derivative of u(k) wrt k.
1080*k**3
Let n(y) = 2*y**2 + 16*y + 4. Let j be n(-8). Let w = 11 - 7. Differentiate 6*x**4 + 6 + x**4 - 4*x**4 - j*x**w wrt x.
-4*x**3
Let y be (1 + 6 + -3)/((-2)/(-1)). Let f(n) be the first derivative of 4*n + 0*n**3 + 0*n**y - 2 + 5/4*n**4. Differentiate f(w) with respect to w.
15*w**2
What is the third derivative of -20*k**5 - 111978*k**2 + 4*k**3 + 47*k + 111980*k**2 - 4*k**3 + 3*k**4 wrt k?
-1200*k**2 + 72*k
Find the third derivative of 8996*f**5 - 8992*f**5 + 0 + 93*f**2 - 11*f**3 + 0 wrt f.
240*f**2 - 66
Let c(g) = -4*g + 1. Let o be c(0). Find the first derivative of -15*y**2 + 0 - 2 - o + 3*y**2 wrt y.
-24*y
Let o be (11 + -6)*4/10. What is the third derivative of -12*v**2 - 11*v**o + 49*v**3 - 42*v**3 wrt v?
42
Find the second derivative of -10 + 0 - 72*t - 23*t + 8 + 1 + 11*t**4 wrt t.
132*t**2
Let c(r) = 27*r**3 + 7*r**2 - 7*r - 124. Let b(q) = 8*q**3 + 2*q**2 - 2*q - 41. Let t(v) = 7*b(v) - 2*c(v). Differentiate t(s) wrt s.
6*s**2
Let v = 82 + -71. Find the second derivative of -69*p + 3*p + 30*p - v*p**4 wrt p.
-132*p**2
Let s(t) = -12*t**3. Let b be s(1). Let d be (-9 - 0)*4/b. What is the third derivative of 11 - 11 + 6*j**2 - 7*j**d wrt j?
-42
Suppose 3*k = 5*k - b - 144, 2*k + 5*b - 120 = 0. What is the second derivative of 85*m**4 - k*m**4 - 8*m - 41*m**4 wrt m?
-312*m**2
Let z be (6/(-6))/(-1*(-2)/(-10)). What is the third derivative of -2*d**2 - 7*d**2 - d**z + 2*d**5 + 13*d**5 wrt d?
840*d**2
Let n(d) = -6*d**3 - d**2 - 4*d. Let b be n(-2). Find the second derivative of -44*h**5 - b*h + 0*h + 10*h wrt h.
-880*h**3
Let s be 1*-1 + 13 + 4. Suppose 5*r = r + s. Find the third derivative of 5*h**3 + h**2 - 3*h**4 - 5*h**3 + h**r wrt h.
-48*h
Find the second derivative of 26*a**3 - 47*a + 27*a**3 - 92*a**3 - 10*a**3 wrt a.
-294*a
Let j(f) be the second derivative of 101*f**8/56 + 137*f**4/12 + 52*f. Find the third derivative of j(o) wrt o.
12120*o**3
Find the second derivative of 175*a**3 - 177*a - 3 + 3 - 13*a**3 + 45*a**3 wrt a.
1242*a
What is the second derivative of 21*f**2 + 3 - 1 + 3 + 5*f - 1 wrt f?
42
Let m(b) = -16*b - 3. Let t(a) = -2*a - 1. Let u be t(-6). Let k(x) = 31*x + 5. Let v(s) = u*m(s) + 6*k(s). What is the first derivative of v(c) wrt c?
10
Let t(g) = -57*g - 4. Let m(u) = 400*u + 28. Let o(q) = 6*m(q) + 44*t(q). What is the first derivative of o(y) wrt y?
-108
Let d(h) = 255*h**3 + 102*h**2 - h - 7. Let f(m) = 2*m**3 - 1. Let b(t) = d(t) - 7*f(t). What is the third derivative of b(w) wrt w?
1446
Let w(v) be the second derivative of -11*v**8/28 - v**6/6 - 87*v**4/4 + 544*v. What is the third derivative of w(p) wrt p?
-2640*p**3 - 120*p
Find the third derivative of -24 - 327*o**4 + 2*o**2 + 34 + 147 - 56*o**4 wrt o.
-9192*o
Let k(d) = 3*d**3 - 6. Let o(r) = 4*r**3 - 7. Suppose 6*b = -5*g + b - 30, -3*b - 16 = 2*g. Let w(v) = g*k(v) + 3*o(v). Differentiate w(n) with respect to n.
18*n**2
Differentiate -8*n**2 + 192 - 16*n - 21*n - 13*n + 40*n - 5*n**2 with respect to n.
-26*n - 10
Let h(w) = 10*w - 10. Suppose 0 = 3*c + 2*c + 35. Let t(r) = 3*r - 3. Let n(f) = c*t(f) + 2*h(f). What is the derivative of n(z) wrt z?
-1
Let r(u) = u**3 - u**2 - 1. Let z be r(2). Find the second derivative of -18*v**z + 10*v**3 + 17*v**3 + 2*v wrt v.
54*v
Suppose -3*u + 2*p = -10, 0 = 5*u + 2*p - 4 - 2. Find the third derivative of -14*s**5 - 4*s**u + 653*s**3 - 653*s**3 wrt s.
-840*s**2
Let x be 13/78 + 2/(-12). Suppose -2*q + q + 13 = x. Differentiate -q*b + 3 + 2 + 12*b wrt b.
-1
Suppose -v + 14 = -5*k - 6, -3*k = -v + 18. Find the second derivative of 12*y - y**4 - v*y**5 + y**4 wrt y.
-300*y**3
Let p(q) = -2*q - 1. Let j(n) = -5 + 8 - 2. Suppose -4 + 6 = 2*m. Let i(s) = m*p(s) + 6*j(s). Differentiate i(f) with respect to f.
-2
Let f(n) be the second derivative of -n**8/80 - n**5/60 + 10*n**3/3 + 21*n. Let m(t) be the second derivative of f(t). Find the second derivative of m(o) wrt o.
-252*o**2
Suppose -4*g - 6 = a, 19*g = 5*a + 14*g - 20. Let x be (-48)/(-28) - 4/(-14). Find the first derivative of -3*l + 1 - x*l + 12*l - a*l wrt l.
5
Find the second derivative of 2*b - 2*b**5 - 175*b**4 + 1576955*b**2 - 1576955*b**2 - 236 wrt b.
-40*b**3 - 2100*b**2
Find the third derivative of 1816*h - h**2 - 49 - 1816*h + 178*h**3 wrt h.
1068
Suppose -3*p - 34 = -20*p. Find the second derivative of -40*n**p - 377*n + 191*n + 210*n wrt n.
-80
Suppose 6*n - 624 = 3*n. Suppose 4 + 8 = 3*c. Find the second derivative of -n + c*s**4 - 7*s + 208 wrt s.
48*s**2
Let m(x) be the second derivative of 201*x**8/56 + 7*x**4/6 + 5*x**2/2 + 92*x. What is the third derivative of m(a) wrt a?
24120*a**3
Let u(i) = i + 11. Let c be u(-6). Let h be (2/5)/(1/c). Find the third derivative of 0*v**3 - h*v**2 + 0*v**2 - 5*v**3 - v**2 wrt v.
-30
Let t(o) be the second derivative of o**7/168 + 5*o**6/72 - 2*o**3/3 - 5*o. Let n(i) be the second derivative of t(i). Find the third derivative of n(k) wrt k.
30
Let l(f) = -2*f**2 + 1. Let i(q) = -46*q**2 - q + 118. Let y(s) = -i(s) - 5*l(s). What is the derivative of y(m) wrt m?
112*m + 1
Let m(j) be the first derivative of -7*j**5/5 - 37*j**4/4 + 187*j**3/3 + j**2 - 549. Find the third derivative of m(b) wrt b.
-168*b - 222
Let i(n) be the first derivative of 88*n**5/5 + 46*n**2 + 72. Find the second derivative of i(w) wrt w.
1056*w**2
Let w = 32 - 30. Suppose r - 28 = -4*l - 4*r, -r = w*l - 8. What is the third derivative of 20*k**2 - k**5 - 33*k**2 + 2*k**3 - l*k**3 wrt k?
-60*k**2
Let t = -30 + 32. What is the third derivative of