
-24*q**2
Let u(h) be the third derivative of -2/3*h**5 + 35/6*h**3 - h**2 + 0*h**4 + 0*h + 0. Find the first derivative of u(p) wrt p.
-80*p
Let w = -63 + 89. What is the first derivative of -7 - 7 - 2 - w*k + 1 wrt k?
-26
Let b(t) be the second derivative of 145*t**4/4 + 405*t**2/2 + 192*t. What is the first derivative of b(m) wrt m?
870*m
Let p be 4 - (-2 - 1) - 2. Differentiate 6*m**3 + 16 + 5*m**3 + p wrt m.
33*m**2
Let n = 48 + -42. Suppose 0 = -0*y - 3*y. Find the second derivative of -s**3 + 0*s + s - n*s + y*s wrt s.
-6*s
Let v(z) = -4*z**2 + 7*z. Let x(r) = -13*r + 4*r**2 + 3*r**2 - 5*r**2 + 7*r**2. Let t(c) = -5*v(c) - 2*x(c). What is the second derivative of t(a) wrt a?
4
Let j(a) be the first derivative of -81*a**4/2 - 71*a**2 - 2*a + 85. What is the second derivative of j(n) wrt n?
-972*n
Let b(t) = -53*t**3 - 5*t**2 + 8*t - 2. Let r(w) = 266*w**3 + 26*w**2 - 41*w + 11. Let m(i) = 11*b(i) + 2*r(i). Find the third derivative of m(l) wrt l.
-306
What is the second derivative of 17*g**3 + 12*g**2 + 43*g - 3*g**3 - 13*g**3 wrt g?
6*g + 24
What is the third derivative of 143*p**3 - 278*p**2 + 25*p + 109*p**2 - 25*p wrt p?
858
Let q = 11 + -7. Suppose q*b = 8*b - 8. What is the first derivative of -3*p**2 - p**b + 3 - 3*p**2 - 4*p**2 wrt p?
-22*p
Suppose 2*p + 2*p - 12 = 0. Suppose -p*d + 1433 = -151. What is the third derivative of 7*j**4 - 528*j**3 - 11*j**2 + d*j**3 wrt j?
168*j
Suppose -u - c + 24 = 0, 5*c = 7 - 2. Suppose q - u + 4 = 0. Find the third derivative of 19*z - 2*z**2 - 4*z**4 - q*z wrt z.
-96*z
Suppose -5*g + 2 = -4*n + 38, 2*n - 18 = 4*g. Suppose 2*j - 3*j + n = 0. Find the first derivative of -23*d**4 + 7 - 4 + j*d**4 + 9*d**4 wrt d.
-20*d**3
Suppose -h + 0*c + 2 = 4*c, 0 = -4*h + 2*c - 46. Let u be (24/(-20))/(3/h). Find the third derivative of -2 - 1 + 3 + b**4 - u*b**2 wrt b.
24*b
Let v be 1/((-3)/(-60)*5). Suppose 17 = v*b + 1. Find the third derivative of -2*c**2 + 2*c**2 + 4*c**3 + 7*c**2 + b*c**2 wrt c.
24
Let u be (4/(-5))/((-266)/(-35) + -8). Find the third derivative of -5*v**u + 103*v**6 + 2*v**2 - 70*v**6 wrt v.
3960*v**3
Suppose p - 2*x + 6 = 0, -2*p - p + 4*x - 10 = 0. Find the second derivative of -8*y - 12*y**p - 2*y**2 + 5*y**2 wrt y.
-18
Let g(f) be the first derivative of f**6/3 + 98*f**3/3 - 50*f**2 - 83. What is the second derivative of g(h) wrt h?
40*h**3 + 196
Differentiate -2*t**2 - 2260 + 979 - 2*t**3 - 2*t**3 - 6*t**2 + 1031 with respect to t.
-12*t**2 - 16*t
Let d = -32 + 22. Let v = 15 + d. What is the first derivative of 9*b**2 + 1 - 3*b**2 - v + 1 wrt b?
12*b
Let b(n) = 62*n**4 + 4*n**2 + 15. Let t(f) = -63*f**4 - 5*f**2 - 15. Let i(u) = -5*b(u) - 4*t(u). Differentiate i(p) with respect to p.
-232*p**3
Let f = 500 - 493. Let n(g) be the second derivative of -7/6*g**3 + 0 + 0*g**4 + 0*g**2 + f*g + 0*g**5 + 1/30*g**6. Find the second derivative of n(r) wrt r.
12*r**2
What is the derivative of -100*o + 66*o + 244 - 116*o + 103 wrt o?
-150
Let f(h) be the first derivative of -8*h**7/21 - 25*h**3/6 + 22*h - 26. Let k(z) be the first derivative of f(z). Find the second derivative of k(p) wrt p.
-320*p**3
Suppose 5*u - 10 = v, v + 6 = 3*v + 3*u. Suppose 4 + v = n. Differentiate -5 + 0*i**4 + 1 + 3*i**4 - n wrt i.
12*i**3
Let r(p) = 1406*p + 520. Let u(v) = 704*v + 263. Let o(c) = 4*r(c) - 7*u(c). What is the derivative of o(d) wrt d?
696
Find the third derivative of -9*f**3 - 15*f**2 - 2*f**4 + 16*f**2 - 14*f**2 - 6*f**2 wrt f.
-48*f - 54
Let j(s) be the first derivative of 0*s**2 - 2/3*s**3 + 0*s + 16 + 0*s**5 + 0*s**4 + 0*s**6 + 17/7*s**7. What is the third derivative of j(d) wrt d?
2040*d**3
Let s(n) = -951*n**2 - 1399*n - 85. Let y(h) = 119*h**2 + 175*h + 10. Let u(k) = -6*s(k) - 51*y(k). Find the second derivative of u(j) wrt j.
-726
Let r = 19 - 23. Let o(p) = -2*p**2 - 17. Let c(u) = 6 - 3*u + 2*u + u**2 + u. Let h(w) = r*o(w) - 11*c(w). Differentiate h(v) with respect to v.
-6*v
Find the third derivative of 0*a**4 + 37*a - 33*a + 5*a**3 - 21*a**3 - 3*a**2 - 2*a**4 wrt a.
-48*a - 96
Let h = 28 + -28. Let x = 7 + h. Differentiate 0 + x*p**3 + 7*p**3 + 4 + 0 wrt p.
42*p**2
Suppose 24*l + 6*l = -l. Let o(u) be the first derivative of 0*u**2 - 7/6*u**6 + 7 + 0*u + u**3 + l*u**5 + 0*u**4. What is the third derivative of o(k) wrt k?
-420*k**2
Let d(g) = 64*g**5 - 7*g**2 - 130*g - 5. Let p(c) = -32*c**5 + 3*c**2 + 65*c + 2. Let f(z) = 2*d(z) + 5*p(z). What is the third derivative of f(a) wrt a?
-1920*a**2
What is the third derivative of 90*p - 23*p - 7*p**3 - 30*p + 14*p**4 - 22*p + p**2 wrt p?
336*p - 42
Find the second derivative of 251*a + 194*a**3 - 183*a**3 - 103*a**3 + 295*a - 155*a wrt a.
-552*a
Let c(w) be the second derivative of -85*w**3/3 - 19*w**2/2 - 140*w. What is the derivative of c(y) wrt y?
-170
Differentiate 0 + 9 - 6832*m**3 + 7101*m**3 with respect to m.
807*m**2
Let r be 3/6 - 45/(-6). Suppose -10 = -r*i + 6*i. Find the second derivative of -q + 2*q - i*q - 3*q**2 + 4*q**2 wrt q.
2
Let o = 454 - 454. Let x(t) be the third derivative of 0*t**4 - 10*t**2 + o - 13/120*t**6 - 1/15*t**5 + 0*t**3 + 0*t. Find the third derivative of x(j) wrt j.
-78
Let h be 11 - (-7 + 6)*-7. Suppose -5*p = -20, 2*j - 4*p + 26 = 4*j. Find the second derivative of -3*c + 4*c**h + 2*c**4 + j*c wrt c.
72*c**2
Let k = 46021/60 - 767. Let h(t) be the third derivative of -3*t**2 + 0 + 1/6*t**4 + k*t**5 + 0*t**3 + 0*t. Find the second derivative of h(o) wrt o.
2
Let j(q) = 23*q - 3. Let n be j(2). Differentiate 38 - 2*t + 5*t - n wrt t.
3
Let x(t) = t**3 - 8*t**2 + 20*t + 2. Let b(c) = -3*c. Let q(a) = -20*b(a) - 4*x(a). What is the second derivative of q(r) wrt r?
-24*r + 64
Suppose 3*f = 2*f. Suppose 0*q - 4*q + 20 = f. What is the second derivative of -4*h + h + h**q - 2 + 2 wrt h?
20*h**3
Let z(v) = -v - 2. Let l be z(-5). Suppose 3*o = -5*h + 14, -l*o = 4*h - 5*o - 20. Find the first derivative of -2 + 0 + 4*r**h - r**4 - 3 wrt r.
12*r**3
Let i(h) = -33*h**2 + 540*h. Let q(t) = 3*t**2. Let y(k) = -i(k) + 6*q(k). Find the second derivative of y(v) wrt v.
102
Suppose t - 21 - 12 = -3*r, t = 0. Let u be 105/33 + (-2)/r. What is the derivative of 5 - u*k**4 + 18*k**2 - 18*k**2 wrt k?
-12*k**3
Let y be ((-1385)/(-831))/((-10)/(-4)*1). Let h(k) be the second derivative of 1/2*k**2 - k + 0 + y*k**3. What is the derivative of h(x) wrt x?
4
Let c(f) be the third derivative of 9*f**7/5 + 27*f**4/8 + 324*f**2. What is the second derivative of c(r) wrt r?
4536*r**2
Find the third derivative of o + 27*o**3 + 9*o**2 - 3*o + 8*o**2 - 19*o**2 + 17*o wrt o.
162
Let y(c) be the third derivative of 65*c**8/168 + c**6/30 - 103*c**5/30 - c**3/6 - 603*c**2. Find the third derivative of y(t) wrt t.
7800*t**2 + 24
Let o(n) be the second derivative of -3*n + 0*n**2 - 1/6*n**4 + 0*n**3 - 7/20*n**5 + 0. Find the third derivative of o(t) wrt t.
-42
Find the third derivative of -3*x**6 + 4*x**5 - 123*x**2 - 4*x**5 + 113*x**6 wrt x.
13200*x**3
Let r(v) be the second derivative of -9*v**5/4 + 59*v**4/6 - v**2/2 - 56*v. Find the third derivative of r(x) wrt x.
-270
Let g be 2/(-3) - (-43)/(-3). Let b = g + 15. Find the second derivative of b*v**3 - 7*v + v**3 + 3*v + v**3 wrt v.
12*v
Suppose f + 3*r - 7 = -0*r, 5*f = r + 83. Let j = -14 + f. Find the third derivative of 3*u**j - 3*u**2 + 2*u**3 - 5*u**3 + 6*u**2 wrt u.
-18
Let p be (1 + -2)*(0 - -1). Let t be (0/(-8))/(p + -1). Find the second derivative of -6*c**4 + 0*c**3 - 2*c + t*c**3 wrt c.
-72*c**2
Let g(m) be the second derivative of m**6/8 - m**3/6 + 3*m**2 - 16*m. Let x(q) be the first derivative of g(q). What is the derivative of x(r) wrt r?
45*r**2
Suppose -3*x - a - 58 = -3*a, -2*x - 5*a = 45. Let j be (9/(-6))/(6/x). Find the third derivative of 4*z**5 + 3*z**j + 7*z**2 - 8*z**5 wrt z.
-60*z**2
What is the second derivative of 142 - 270*m**5 + 81 + 105 + 2*m - 75 wrt m?
-5400*m**3
Let x(s) be the second derivative of -49*s**3/2 - 23*s**2/2 - 110*s + 1. Find the first derivative of x(a) wrt a.
-147
Let t(r) be the first derivative of -49*r**5/5 - r**3/3 - 634*r + 51. Find the first derivative of t(k) wrt k.
-196*k**3 - 2*k
Let y be (325/39 - 8)*21*1. Suppose -2*k + 12 = k, 3*n - 18 = -3*k. Find the second derivative of 4*d - d + n*d - y*d**3 wrt d.
-42*d
Let b(q) b