
Differentiate -109*c - 418 + 117*c + 270*c wrt c.
278
Suppose 0 = 3*w - 11 - 10. Suppose w = 5*v - 8. Find the second derivative of 8*y**v - 8*y - 8*y**3 + 2*y**4 wrt y.
24*y**2
Let g(y) be the second derivative of -y**4/12 + 35*y**3/6 - 47*y**2 + y + 9. Differentiate g(i) with respect to i.
-2*i + 35
Let w(y) be the third derivative of y**7/210 + 17*y**4/8 - 323*y**3/6 + 3*y**2 + 27*y. Differentiate w(f) with respect to f.
4*f**3 + 51
Let u(i) be the second derivative of -283*i**4/12 + 131*i**3/6 - 7*i + 1. Find the second derivative of u(k) wrt k.
-566
What is the third derivative of 68*s**2 - 611*s**5 + 60*s**2 + 87*s**5 - s + 144*s**2 wrt s?
-31440*s**2
Let m(o) be the second derivative of o**5/10 + 4*o**4 + 28*o**3 + o**2/2 - 37*o. Find the second derivative of m(u) wrt u.
12*u + 96
Let n(t) be the first derivative of 444*t**5/5 - t**4/2 - 621*t - 656. Find the first derivative of n(x) wrt x.
1776*x**3 - 6*x**2
Let l(x) be the third derivative of 433*x**6/120 - x**4/2 - 3*x**3/2 - 180*x**2. Find the second derivative of l(r) wrt r.
2598*r
Let w(q) = -q**2 - 4*q + 4. Let p be w(-4). Suppose p*v + 0*m - 6 = 2*m, -5*v + 3*m + 9 = 0. Find the second derivative of 0*n**3 + 3*n + 5*n**3 + 0 + v wrt n.
30*n
Suppose -13 = -3*s - 1. Find the second derivative of -2*j**4 + j**4 - j + 0*j**s wrt j.
-12*j**2
Let y(o) = 2*o**2 + o. Let n(c) = 4*c**4 - 3*c**3 + 10*c**2 + 89*c. Let f(x) = -n(x) + 5*y(x). What is the second derivative of f(r) wrt r?
-48*r**2 + 18*r
Suppose 5*f + 15 - 5 = 0. Let g = 0 - f. What is the second derivative of 0*h - 4*h**g + 2*h - h - 5*h wrt h?
-8
Let l(s) be the third derivative of 0*s + 0*s**5 + 0 + 11/6*s**3 - 8*s**2 + 0*s**4 - 1/12*s**6. What is the first derivative of l(n) wrt n?
-30*n**2
Let c(l) = 191*l**3 - 268*l**2 - 11*l + 11. Let n(k) = 63*k**3 - 89*k**2 - 4*k + 4. Let u(f) = -4*c(f) + 11*n(f). Find the third derivative of u(r) wrt r.
-426
Let n(s) = s**2 + 3. Let y(w) = -215*w**2 + 2*w - 170. Let p(f) = 2*n(f) + y(f). Differentiate p(l) wrt l.
-426*l + 2
Let n(r) be the first derivative of -2*r**2 - 12 - 10 - 5*r - r + 20. What is the derivative of n(s) wrt s?
-4
Let p(k) be the first derivative of k**7/7 + 2*k**5/5 + 8*k**3 - 8. What is the third derivative of p(y) wrt y?
120*y**3 + 48*y
Let i be (-31)/(-110) + (-26)/143. Let v(c) be the second derivative of 0 - c**2 + 5*c + 0*c**4 + 0*c**3 + i*c**5. What is the first derivative of v(q) wrt q?
6*q**2
What is the third derivative of -52*a**3 - 78*a**3 - 40*a**2 + 12*a**2 - 41*a**2 wrt a?
-780
Let x(i) = -i**2 + 14*i + 4. Let r be x(14). Differentiate 15*k**r + 0 - 25*k**4 - 7 + 1 with respect to k.
-40*k**3
Suppose -2*d = d + 9. Let i be (-1 + -5)/d + 4. What is the third derivative of -4*h**6 + 14*h**i - 14*h**6 + 3*h**2 wrt h?
-480*h**3
Let i(b) be the third derivative of 0*b**7 + 0*b**3 + 0 - 2/21*b**8 + 0*b**4 + 0*b + 16*b**2 + 0*b**6 + 2/15*b**5. What is the third derivative of i(p) wrt p?
-1920*p**2
What is the first derivative of 8 + 3280*q - 10*q**3 - 7*q**3 - 3271*q wrt q?
-51*q**2 + 9
Let s(n) be the first derivative of 10*n**3 - 27 - n + 19*n**2 - 14*n**2 + n. What is the second derivative of s(j) wrt j?
60
Let t(i) = 149*i**4 + 7*i**3 - 14*i - 31. Let k(r) = 149*r**4 + 6*r**3 - 12*r - 31. Let c(x) = -7*k(x) + 6*t(x). What is the first derivative of c(h) wrt h?
-596*h**3
Find the third derivative of -70*b**6 + 5 + 61*b**6 - 7*b**2 - 2 + 84*b**6 + 116*b**6 wrt b.
22920*b**3
Let a(w) be the first derivative of 33*w**4 + w**3 - 47*w**2/2 + 90. Find the third derivative of a(l) wrt l.
792
Suppose 1622 = 4*k - k - 2*g, 0 = -2*k - g + 1086. Find the third derivative of -7*i**2 - 542 + i**6 + k wrt i.
120*i**3
Let i = -510 + 510. Let r(w) be the second derivative of 1/30*w**6 + i + 0*w**4 - 1/6*w**3 + 0*w**5 + w + 0*w**2. Find the second derivative of r(m) wrt m.
12*m**2
Suppose 5*i = 366 + 194. What is the second derivative of -l**2 - l**5 + 118*l - i*l + l**2 wrt l?
-20*l**3
Let o(q) be the first derivative of -44*q**5/5 - q**4 - 551*q - 588. Find the first derivative of o(a) wrt a.
-176*a**3 - 12*a**2
Let k(t) be the third derivative of 0*t**5 + 0*t**4 + 0 + 5*t**2 - t**3 + 0*t - 3/40*t**6. What is the derivative of k(n) wrt n?
-27*n**2
Let a(r) be the third derivative of 3*r**9/56 - r**5/60 + 9*r**3/2 - 70*r**2. What is the third derivative of a(d) wrt d?
3240*d**3
Let l be ((6/(-16))/(-1))/((-81)/(-432)). Let h(o) be the second derivative of o**4 + 11/6*o**3 + 11*o + 0*o**l + 0. Find the second derivative of h(s) wrt s.
24
Let o(a) be the third derivative of a**2 + 1/20*a**5 + 0 + 13*a + 8*a**3 - 1/24*a**4. Differentiate o(j) with respect to j.
6*j - 1
Let g(o) be the second derivative of -617*o**7/42 + 29*o**3/6 + o**2 + 648*o. Find the second derivative of g(u) wrt u.
-12340*u**3
Suppose -q = 3*q - 24. Let v be (-2)/q - (-14)/6. Find the third derivative of -6 - 3*d**3 + 6 - 3*d**v wrt d.
-18
Find the third derivative of -2*d**2 - 202*d**3 - 290*d**3 + 573*d**3 - 15*d wrt d.
486
Let a(v) = v**3 - v**2 + v. Let z(n) = -23*n**3 - 113*n. Let p(g) = -3*a(g) + z(g). What is the second derivative of p(s) wrt s?
-156*s + 6
Let m be (-10)/(-3)*60/50. Find the second derivative of 262*i**4 - 6*i - 7*i - 262*i**m + 31*i**5 wrt i.
620*i**3
Let h be (-4 + (-64)/(-18))/(6/(-9)). Let j(f) be the first derivative of 5/4*f**4 + 0*f + 0*f**2 - h*f**3 + 3. What is the third derivative of j(p) wrt p?
30
Let z(q) = 14 - 3*q + 3*q - q. Let x be z(10). What is the second derivative of 0*d**x + 4*d + 86*d**5 - 87*d**5 + 0*d**4 wrt d?
-20*d**3
Let m(h) = -6*h - 2. Let n be m(-1). What is the second derivative of 14*k**n - 43 - k + 43 wrt k?
168*k**2
What is the third derivative of -5422*w + 5404*w - w**2 - 5*w**2 + 577*w**5 wrt w?
34620*w**2
Suppose 3*z + 8 = w - 14, 0 = 5*w - 5*z - 100. What is the third derivative of -2*m**4 + 21*m**4 + w*m**2 + 3*m**4 wrt m?
528*m
What is the second derivative of -148*c**4 + 72*c**4 + 26*c**5 - 107*c + 78*c**4 wrt c?
520*c**3 + 24*c**2
Suppose -y + 0 = -d - 4, 0 = 3*y + d - 12. What is the third derivative of y*a**5 - 6*a**5 + 5*a**2 - 7*a**5 wrt a?
-540*a**2
Let f be ((-10)/12)/(((-35)/(-21))/(-5)). Let l(i) be the first derivative of 0*i - 1 + 1/3*i**3 + f*i**2. Find the second derivative of l(j) wrt j.
2
Let n(a) be the third derivative of -a**8/112 - 13*a**6/60 + 11*a**5/30 + a**3/3 + 37*a**2. What is the third derivative of n(y) wrt y?
-180*y**2 - 156
Let y = 14 + -11. Find the first derivative of 2*q**3 - 6*q**y + 7*q**3 + 9 + 3*q**3 wrt q.
18*q**2
Let u(s) be the third derivative of 0*s**4 + 0*s - s**3 + 1/40*s**6 + 0*s**5 + 0 - 30*s**2. Differentiate u(o) wrt o.
9*o**2
Let q(d) be the third derivative of d**5/3 - 7*d**4/4 - 5*d**3/6 - 6*d**2. Let p(m) be the first derivative of q(m). Find the first derivative of p(n) wrt n.
40
Let p(g) be the third derivative of -37*g**6/40 - g**5/60 - 95*g**4/12 + 168*g**2. Find the third derivative of p(t) wrt t.
-666
Let w(m) be the second derivative of -194*m**6/15 + 29*m**4 - 184*m + 2. What is the third derivative of w(y) wrt y?
-9312*y
Suppose 0*s - s = 0. What is the third derivative of -4*u**5 + 0*u + s*u - u**2 wrt u?
-240*u**2
Let l(v) = 550*v**3 - 437*v**2 + v - 6. Let r(q) = -2*q**3 + 2*q**2 + 1. Let h(i) = -l(i) - 6*r(i). What is the third derivative of h(s) wrt s?
-3228
Let w(c) = c**2 - 5*c - 3. Let m be w(6). What is the third derivative of b**2 + 4*b**2 - 6*b**2 + 0*b**2 - 11*b**m wrt b?
-66
Suppose u + 3*r = 39, 6*u - u - 147 = r. Suppose -4 + u = 3*t - 2*s, 2*t - 20 = 4*s. Find the third derivative of t*z**2 + 3*z**6 + 0*z**6 - 324 + 324 wrt z.
360*z**3
Let s(l) = -59*l**2 + 47*l. Let g(j) = -53*j + 14*j**2 + 5*j**2 + j**2 + 37*j. Let a(z) = 17*g(z) + 6*s(z). What is the second derivative of a(i) wrt i?
-28
Suppose -10 = -5*u - 5. Let w be 3/(u - 4) - -26. What is the second derivative of 1 + w*o - 3*o**3 - 1 - 32*o wrt o?
-18*o
Let g(b) be the first derivative of -3*b**5/5 - 19*b**2/2 - 69*b + 7. Differentiate g(x) with respect to x.
-12*x**3 - 19
Let z be 0 - (6/(-1) + 1). Suppose -z*u = -u - 20. What is the second derivative of 2*p**5 + 0*p**5 - 5*p - 6*p**u wrt p?
-80*p**3
What is the third derivative of 2*c**4 - 7*c**2 - 68*c**2 + 6*c**5 + 8*c**5 + 0*c**4 + 17*c**5 wrt