
-89760*y**3
Suppose 5*w = 3*s + 30, -w + 4*s - 2*s + 6 = 0. Let h be (-1)/(-3 + w)*-12. Find the second derivative of -3*p**3 + 0*p**3 - 9*p + 3*p + h*p**3 wrt p.
6*p
Let u(r) = -r**3 - 7*r**2 + r + 10. Let z be u(-7). Suppose -8*k + 10 = -z*k. Find the first derivative of -a**2 - 4 - k*a**2 + 3 - 2*a**2 wrt a.
-10*a
Suppose -2*z = v, -v - 3 = z - 1. Suppose 0 = -3*r + z*r + 4. Find the first derivative of r + 0*k**2 - 3 + 4 + 6*k**2 wrt k.
12*k
Suppose 2*m - 49 - 63 = 0. Suppose -2*g + 10*g - m = 0. What is the second derivative of 15*w**5 - 11*w + 18*w + g*w wrt w?
300*w**3
Let n = -172 + 175. Let f(v) be the first derivative of 0*v**n + 4 - 3/4*v**4 + 0*v - v**2. What is the second derivative of f(c) wrt c?
-18*c
Let x(t) be the first derivative of -10*t + 11 + 13/2*t**2. Differentiate x(y) with respect to y.
13
Let m(b) be the third derivative of 211*b**4/8 + 236*b**3/3 + 481*b**2. Differentiate m(n) with respect to n.
633
Let y(l) = -1425*l**3 + 5*l**2 - 131*l + 50. Let q(z) = 713*z**3 - 2*z**2 + 65*z - 20. Let m(k) = -5*q(k) - 2*y(k). What is the second derivative of m(i) wrt i?
-4290*i
Let s(a) = -4*a + 2. Let q(w) = 234*w - 21. Let y(p) = -2*q(p) - 30*s(p). What is the first derivative of y(z) wrt z?
-348
Let t(a) = -a**3. Let g(w) = -43*w**3 - 40*w**2. Suppose -9*n - 2 = -11*n. Let x(d) = n*g(d) + 2*t(d). Find the third derivative of x(s) wrt s.
-270
Suppose 0*l - 15 = -5*l. Find the second derivative of -7*x**5 - 8*x**3 - 7*x**3 + 15*x**l - 5*x wrt x.
-140*x**3
Suppose 2*n = -108 + 112. Find the third derivative of 1066*c - 27*c**6 - 1066*c - 39*c**n wrt c.
-3240*c**3
Let u = -3 + 7. Differentiate -13*k**4 + k**2 + 2*k**u - k**2 + 10 with respect to k.
-44*k**3
Let r = 90 - 88. Find the third derivative of -6*h**5 + 0*h**2 - 2*h**r - 13*h**2 - 9*h**5 wrt h.
-900*h**2
What is the third derivative of -79 + 154 - 210*z**2 - 75 - 65*z**4 wrt z?
-1560*z
Suppose 5*h - 113 = 2*w, 2*w + 3*h + 2 + 103 = 0. Let d = w + 89. What is the first derivative of 9 - 3 + 5*p**4 + d*p**3 - 35*p**3 wrt p?
20*p**3
Suppose 2*w - 5*i + 1 = 0, -5*w + 0*i - 2*i + 12 = 0. Find the third derivative of -7*d**4 + 12*d**4 - 12*d**w + 15*d**5 - 5*d**4 wrt d.
900*d**2
Let f(j) be the first derivative of 140*j**3/3 - 4*j**2 + 6*j - 49. Find the second derivative of f(n) wrt n.
280
Let p be 49 + (2 + 0 + 1)/1. Find the second derivative of -26*a + p*a - 38*a + 9*a**4 wrt a.
108*a**2
Find the third derivative of -580*x**2 + 81*x**2 - 9*x**4 + 6*x**6 - 14*x**5 + 8*x**5 + 6*x**5 wrt x.
720*x**3 - 216*x
Find the first derivative of -b + 16*b + 88 + 14*b - b + 3*b**2 wrt b.
6*b + 28
Let k(v) = -8*v - 59. Let r(z) = 34*z + 235. Let g(i) = 9*k(i) + 2*r(i). Find the first derivative of g(f) wrt f.
-4
Suppose -3*h = -0*h + 2*g - 9, -h + 2*g + 11 = 0. Differentiate h*x**3 + x**2 - x**2 - 16*x**3 - 12 with respect to x.
-33*x**2
Let y(s) = -90*s**4 - 6*s**3 + 3*s - 75. Let r(j) = -90*j**4 - 4*j**3 + 2*j - 76. Let u(f) = -3*r(f) + 2*y(f). Find the first derivative of u(l) wrt l.
360*l**3
Let v be (4 + 0)*2/4. Suppose -5*q = -2*q - 5*g - 8, v*q - g - 10 = 0. Find the second derivative of 3*d - 6*d - 2*d**2 - 7*d - q*d**2 wrt d.
-16
Let h(w) = 5*w - 3. Let l be h(2). Let m = 11 - l. Find the second derivative of 5*o**3 + 56 - 56 - m*o wrt o.
30*o
Let f = -5 + 27. What is the second derivative of 6*n - 4*n**4 - 31*n + f*n**4 - 2*n wrt n?
216*n**2
Let o(w) = 4*w**6 + 7*w**3 + 19*w**2 + 13*w. Let v(s) = s**6 + 2*s**3 + 5*s**2 + 3*s. Let h(c) = 6*o(c) - 26*v(c). What is the third derivative of h(m) wrt m?
-240*m**3 - 60
Let w(u) = -28*u**3 + 7*u**2 - 8*u + 2. Let i(k) = -k**3 + k**2 + k - 1. Let h(q) = -2*i(q) - w(q). Find the third derivative of h(n) wrt n.
180
What is the third derivative of 124*b**6 + 196*b**2 + 150*b**6 - 520*b**6 wrt b?
-29520*b**3
Let l(p) = -5*p**3 - 15*p**2 - 611*p - 3. Let h(g) = -9*g**3 - 14*g**2 - 612*g - 2. Let x(y) = 3*h(y) - 2*l(y). What is the second derivative of x(a) wrt a?
-102*a - 24
Let a(f) be the third derivative of 0 - 7/12*f**4 - 3*f - 1/120*f**6 + 11*f**2 - 19/3*f**3 + 0*f**5. Differentiate a(p) wrt p.
-3*p**2 - 14
Let h(j) be the second derivative of -1/14*j**7 - 17/6*j**3 + 0*j**4 + 6*j + 0 + 0*j**2 + 0*j**5 + 0*j**6. Find the second derivative of h(u) wrt u.
-60*u**3
Let x(m) = -m - 4. Let r be (-30)/35*(-2 - -9). Let b be x(r). Differentiate 36 + q**2 - q**b - 35 + 6*q**3 with respect to q.
18*q**2
Find the first derivative of -309*x**2 - 148 + 370*x**2 + 165*x**2 + 8 wrt x.
452*x
Let p(d) = -51*d**3 + 4*d**2 - 141*d. Let s(j) = 25*j**3 - 2*j**2 + 71*j. Let o(u) = -2*p(u) - 5*s(u). Find the second derivative of o(t) wrt t.
-138*t + 4
Let x(d) be the second derivative of -65*d**3/3 + 115*d**2/2 + 4*d + 3. What is the first derivative of x(k) wrt k?
-130
Suppose -3*r - z = -56, -15 - 8 = -r + 4*z. Let i = r + -13. Find the third derivative of -5*u**2 - 5*u**i + 7*u**6 - 5*u**6 wrt u.
-360*u**3
Let x(m) = 51*m**2 + 5*m - 88. Let u(t) = -254*t**2 - 27*t + 441. Let v(a) = -2*u(a) - 11*x(a). Differentiate v(h) wrt h.
-106*h - 1
Suppose -2*z - 8 = -4. Let j be -1 + z/((-2)/3). Find the third derivative of o**j - 5*o**3 - 3*o**2 - o**2 wrt o.
-30
Let d(n) be the third derivative of 0*n**3 + 0*n**5 + 0 + 3/112*n**8 + 5/12*n**4 + 0*n**6 + 0*n - 11*n**2 + 0*n**7. Find the second derivative of d(u) wrt u.
180*u**3
Let d = -5 + 7. Let a(i) be the first derivative of -d + 1 + 2*i**2 + 5 - 6*i - 1. Differentiate a(c) wrt c.
4
Let z(k) = 2*k**3 - k**2 + k + 7. Let p(y) = -y**3 + y**2 - 1. Let a(o) = -3*p(o) - z(o). Let h be a(3). Differentiate -5*c**2 - 4 - 3*c**2 + 4*c**h + 3 wrt c.
-8*c
Find the second derivative of -287*d**3 + 940*d + 540*d**3 - 243*d**3 - 6*d**2 wrt d.
60*d - 12
Let p(d) = -30*d - 19*d + 61 + 19*d. Let h(k) = 20*k - 41. Let s(j) = 8*h(j) + 5*p(j). What is the first derivative of s(v) wrt v?
10
Let m(s) = s + 3. Let o be m(-3). Suppose 0 = 4*p - 2*a - 96, 5*a = 4*p - o*a - 102. Find the second derivative of -7*n**2 - p*n + n**2 + 28*n wrt n.
-12
Let q(i) be the second derivative of i**6/15 + 5*i**4/4 - 55*i**3/3 - 68*i. Find the second derivative of q(p) wrt p.
24*p**2 + 30
Let t(o) = -2*o + 39. Let s(u) = 8*u - 163. Let d(h) = 2*s(h) + 9*t(h). Differentiate d(f) with respect to f.
-2
Let i(n) be the third derivative of -11*n**5/15 - 3*n**4/8 + n**3/2 - n**2 + 48*n. What is the second derivative of i(w) wrt w?
-88
Let w(p) be the second derivative of 365*p**4/12 + 581*p**2/2 - 425*p. Differentiate w(y) wrt y.
730*y
Suppose 0*j - j + 13 = -s, 5*s = -j + 37. Suppose g - 11 = k - 4*k, 3*k = -4*g + j. Find the second derivative of g*f - 3*f - 7*f**5 - 6*f wrt f.
-140*f**3
Suppose -4*j = 0, -3*z + 64 = -j + 13. Find the second derivative of 29*x**2 - 12*x**2 + 5*x**4 + 9*x - z*x**2 wrt x.
60*x**2
Let t(g) = 3*g**3 - 14*g**3 + 2*g**3 + 29 + 5*g**4. Let f(i) = -i**4 + 2*i**3 - 7. Let u(x) = -9*f(x) - 2*t(x). What is the derivative of u(y) wrt y?
-4*y**3
Let b = -5665/3 + 1890. Let x(g) be the third derivative of b*g**3 + 0*g - 11*g**2 + 1/30*g**5 + 0 + 0*g**4. Differentiate x(j) with respect to j.
4*j
Let w be 3*2*(-8)/(-6). What is the first derivative of 0 - 2 - w*c**4 - 22*c**4 + 3*c**4 wrt c?
-108*c**3
Let d(x) = 16*x - 8. Let o be -3 + 129/15 + 2/5. Let w(s) = -16*s + 9. Let m(f) = o*d(f) + 5*w(f). Find the first derivative of m(q) wrt q.
16
Let q(n) be the third derivative of -7*n**6/10 - 13*n**4/24 + 2*n**3/3 + 34*n**2. What is the second derivative of q(p) wrt p?
-504*p
Let g(l) = 2*l**3 + l**2 - l - 2. Let a be g(2). Find the third derivative of 4*j**2 - 48 + a*j**6 + 101 - 53 wrt j.
1920*j**3
Let n(d) = 6*d**5 - 11*d**4 + 12*d**3 + 5*d - 7. Let r(t) = -t**4 + 2*t**3 + t. Let v(u) = -n(u) + 6*r(u). What is the second derivative of v(m) wrt m?
-120*m**3 + 60*m**2
Let f(c) = -c**2 + c. Suppose 36*t + 2 = 37*t. Suppose -2*q - 2*q + 4 = 0. Let v(i) = -2*i - 5. Let g(m) = q*v(m) + t*f(m). Differentiate g(n) wrt n.
-4*n
Let f(t) be the first derivative of t**6/90 - t**5/40 + 3*t**3 + 14. Let d(p) be the third derivative of f(p). What is the second derivative of d(a) wrt a?
8
Let f(x) = x**3 + 2*x**2 - 63*x - 55. Let k(v) = 3*v**3 + 7*v**2 - 187*v - 166. Let o(z) = 7*f(z) - 2*k(z). What is the first derivative of o(p) wrt p?
3*p**2 - 6