irst derivative of b(z) wrt z.
-1845*z**2
Let f(w) = -w**4 + w**2 - 1. Let q(j) = -52*j**4 + 8*j**2 - 14*j - 8. Let t(s) = 8*f(s) - q(s). Find the second derivative of t(y) wrt y.
528*y**2
Suppose 3*q + 21 = 6*q. Let a be ((-20)/(-7) - 2)*q. Find the third derivative of 3*d**2 - 4*d**2 + a*d**2 - 12*d**5 + 7*d**2 wrt d.
-720*d**2
Let g be (-2)/19 - 352/(-456). Let a(v) be the first derivative of 3 + g*v**3 + 0*v + v**2. Find the second derivative of a(m) wrt m.
4
Let f(k) = 3*k**3 + 4*k**2 - 2*k - 2. Let a be f(2). Let s be 17/a + 22/4. Find the second derivative of -3*y**4 - 4*y - y**4 + 4*y**4 - s*y**5 wrt y.
-120*y**3
Find the second derivative of -214359*k**3 - 169*k + 214359*k**3 - 285*k**4 - 206*k**4 wrt k.
-5892*k**2
Let v be 2 - (257 - -3)/(-4). Suppose o = -6*a + a + 9, 0 = -5*o - 3*a + v. What is the derivative of -2 + l**3 + 14*l - o*l wrt l?
3*l**2
Differentiate 3*q**2 + 14*q**2 + 5*q**2 - 97 - 8*q**2 with respect to q.
28*q
Suppose 20 + 50 = 5*q. What is the second derivative of q*z**2 - 4622 + 9*z**2 - 27*z + 4622 wrt z?
46
Differentiate -24 + 64*l**3 - 49*l - 142*l**3 + 75*l**3 with respect to l.
-9*l**2 - 49
Let l(s) be the first derivative of 6*s**7/7 + 23*s**5/5 - 19*s**3/3 + s - 154. Find the third derivative of l(h) wrt h.
720*h**3 + 552*h
Suppose -2*q + 2 = -q. What is the derivative of 6 - 8*z**4 + z**q + 2 - z**2 wrt z?
-32*z**3
What is the third derivative of i**3 + 27347*i**2 - 36 - 27350*i**2 + 2*i**3 - 46*i**4 wrt i?
-1104*i + 18
Let x(a) = -a**3 - 8*a**2 + 9*a + 3. Let q be x(-9). Differentiate -28 - 6*l + 18*l - 4*l + q*l wrt l.
11
Let s = 24 - 18. What is the third derivative of -h**2 + 12*h**6 + h**s + 8*h**2 wrt h?
1560*h**3
Let a(v) be the second derivative of -1/2*v**3 + 0 + 1/15*v**5 - 3/2*v**2 + 5*v + 0*v**4. Let n(p) be the first derivative of a(p). Differentiate n(j) wrt j.
8*j
Find the second derivative of -2*a**3 + 18*a**3 + 1104*a**5 + 84*a - 1108*a**5 wrt a.
-80*a**3 + 96*a
What is the third derivative of 22*q**3 + 144*q**2 - 5*q**3 - 99*q**2 - 77*q**2 wrt q?
102
Let m(n) be the second derivative of -33*n**5/10 - 55*n**3/2 + 2*n + 5. What is the second derivative of m(u) wrt u?
-396*u
Let c(l) = -7*l**2 + 154. Let h(a) = -a**2 - 7. Let m(f) = -3*c(f) - 6*h(f). Differentiate m(k) with respect to k.
54*k
Let n(x) = 5*x**3 - 26*x**2 + 105*x - 1429. Let a(k) = -2*k**3 + 12*k**2 - 53*k + 715. Let v(b) = 13*a(b) + 6*n(b). What is the derivative of v(m) wrt m?
12*m**2 - 59
What is the first derivative of -3*u**2 - 27 - 3 + 4 - 2*u + 36*u wrt u?
-6*u + 34
Let w(a) be the second derivative of -a**7/14 + 3*a**5/20 - a**3/3 + 10*a**2 + 20*a. Find the second derivative of w(u) wrt u.
-60*u**3 + 18*u
Suppose 4*i + 5*m - 8 = 0, -7*i = -2*i + 2*m - 10. What is the second derivative of 45*q**i - 9 + 18 - 4*q + q wrt q?
90
What is the third derivative of -114*x**3 + 400*x**3 + 205*x**2 + 51*x**2 wrt x?
1716
What is the second derivative of 35 - 13 + 174*c**5 - 12 + 45*c - 12 + 2*c wrt c?
3480*c**3
Suppose 189 + 243 = 4*w. Suppose 120 = 4*l - w. What is the first derivative of 49 + c**3 + 2*c**3 - l wrt c?
9*c**2
Let x(c) be the third derivative of 131*c**7/210 - 5*c**4/12 - c**3/3 - 3*c**2 + c. What is the second derivative of x(z) wrt z?
1572*z**2
Find the third derivative of -1909*g**2 - 20*g**3 - 12*g**3 + 1907*g**2 + 18 wrt g.
-192
Suppose -3*c + 1 = -35. Let g = -5 + c. Find the second derivative of -3*z**5 + 12*z - g*z - 2*z**5 wrt z.
-100*z**3
Let q(x) be the first derivative of 0*x**2 + 0*x**5 + 0*x + 2/3*x**6 + 0*x**4 - 20 - 17/3*x**3. What is the third derivative of q(w) wrt w?
240*w**2
Find the third derivative of 292*r**4 + 3*r + 0*r**2 - r**2 - 24*r - 126*r wrt r.
7008*r
Let q = 25 - 15. Let x = 14 - q. What is the third derivative of 4*m**4 - 12*m**2 + 16*m**2 + m**x wrt m?
120*m
Let n(x) be the first derivative of x**6/36 - x**4/4 + 8*x**3/3 + 12. Let i(a) be the third derivative of n(a). Differentiate i(g) wrt g.
20*g
Let z(t) be the first derivative of -33/4*t**4 + 0*t**3 + 0*t + 23 + 3*t**2. What is the second derivative of z(j) wrt j?
-198*j
Let m(v) = 51*v**4 - 6*v + 368. Let t(x) = -4*x**4 - x - 1. Let o(g) = m(g) - 6*t(g). What is the first derivative of o(c) wrt c?
300*c**3
Let h(v) = v**2 - 17*v + 18. Let s be h(16). Suppose 4*r + 3*t = 3, 5*r - 2*t - 21 = -0*r. What is the second derivative of 0 - 14*y - r*y**s + 20*y + 0 wrt y?
-6
Let i = 121 + -89. Differentiate -3 + 10 + i*x - 7*x + 3 wrt x.
25
Let h(b) be the first derivative of 147*b**2 - 14*b - 221. What is the derivative of h(d) wrt d?
294
Suppose 2*g + 2*w - 182 = 0, w + 427 = 5*g - w. What is the first derivative of -33*l**3 - 87*l + g*l - 13 wrt l?
-99*l**2
Let h = -17 - -9. Let o(w) = -w**3 - 7*w**2 + 8*w + 4. Let j be o(h). Find the third derivative of -6*c**4 + 8*c**j + 0*c**2 + 4*c**2 - 5*c**4 wrt c.
-72*c
Let g(m) = 185*m**3 - 131*m**2 - 5*m. Let i(b) = -185*b**3 + 131*b**2 + 6*b. Let k(q) = 6*g(q) + 5*i(q). What is the third derivative of k(t) wrt t?
1110
What is the second derivative of -2 - 3*a**4 - 3*a**4 + 3 - 12*a**4 - 75*a wrt a?
-216*a**2
Suppose -2*a - 3*o = -42, 3*a - 62 = -0*a - 5*o. Let r = a - 20. Find the first derivative of -r*p**3 + p**3 + p**3 + 6 wrt p.
-6*p**2
Let r = -27 + 31. Differentiate 4*c**4 - 7 - 18*c**r - 4 with respect to c.
-56*c**3
Find the third derivative of 128*u**4 - 2*u**3 + 426*u**4 + 797*u**2 + 31*u**4 wrt u.
14040*u - 12
Suppose 72 = -4*k + 96. Find the third derivative of 5*v**6 - 10*v**6 - 5*v**2 - 2*v**6 + v**k wrt v.
-720*v**3
Let l = -108 - -111. Find the second derivative of -17*n**3 - 3*n**3 + 22*n + 20*n**l - 4*n**5 wrt n.
-80*n**3
What is the derivative of -45 - 20*d - 5 - 44*d**4 + 93*d**4 - 48*d**4 + 10 wrt d?
4*d**3 - 20
Let w(r) be the first derivative of 577*r**4/4 - 206*r**2 + 917. Find the second derivative of w(p) wrt p.
3462*p
Suppose 8 - 2 = 3*y. Differentiate -l**2 + 2*l**2 + 4*l**y - 8 + 4*l**2 wrt l.
18*l
Find the first derivative of 121 - w**3 + 78 - 147*w + 4 + 0*w**3 wrt w.
-3*w**2 - 147
Suppose -z = -2*z - z. Differentiate -1 + 3*n**2 + 19*n**2 + z with respect to n.
44*n
Suppose 3*t = -q - 2*t + 21, 2*q - 3*t - 42 = 0. Differentiate 15*y - 12 + 14*y - q*y with respect to y.
8
Let c(w) be the third derivative of w**7/70 - 79*w**4/24 - 151*w**3/6 - 219*w**2. Differentiate c(i) wrt i.
12*i**3 - 79
Suppose x - 6*x + 35 = 0. Suppose 4*q + q + 3*t = 35, 0 = -q - 3*t + x. Differentiate -y**4 + 4*y**4 - 2*y**4 - q wrt y.
4*y**3
Let o = 51 + -48. What is the second derivative of -6*n + 0 - n**o + 0 + 25*n**3 wrt n?
144*n
Let a(v) = -300*v + 350. Let h(c) = -149*c + 176. Let b(s) = 6*a(s) - 13*h(s). Differentiate b(p) wrt p.
137
Let q = 33 - 34. Let b(c) = -c - 1. Let o(w) = -12*w - 20. Let l(n) = q*o(n) + 16*b(n). What is the first derivative of l(v) wrt v?
-4
Let p(g) be the third derivative of -g**5/60 - 271*g**4/24 + 311*g**3/6 + 584*g**2. What is the first derivative of p(x) wrt x?
-2*x - 271
Let q be (-7 + 4 - 4)*(-2)/7. Differentiate 9 - 18*b**q + 3 - 9 + 15 wrt b.
-36*b
Find the third derivative of 17*o**4 - 17*o**4 + 31*o**2 - 33*o**5 - 113*o**2 wrt o.
-1980*o**2
Let y(g) be the first derivative of 24*g**3 - 69*g**2/2 + 68. Find the second derivative of y(m) wrt m.
144
Let n(s) = -2*s**2 + 8*s**4 - 15*s**2 - 8*s**2 - 19*s**2. Let v(p) = -17*p**4 + 89*p**2. Let t(x) = 5*n(x) + 2*v(x). Find the third derivative of t(d) wrt d.
144*d
Let g be -3 - (-9 - (-1 + -1)). What is the first derivative of 15*n**2 - 5 - 8 + g - 8 wrt n?
30*n
Let z = -120 - -141. What is the derivative of z - f**2 + 5*f**2 + 15*f**2 wrt f?
38*f
Let p(j) = -350*j**5 + 4*j**3 - 6*j**2 + 3. Let v(y) = y**5 + y**3 - y**2 + 1. Let k(s) = -p(s) + 4*v(s). Find the third derivative of k(t) wrt t.
21240*t**2
Let s(k) = -k**2. Let y(i) = -i - 11*i - 7*i**3 - 2*i**2 - 5*i**3 + 0*i**2. Let p(a) = -2*s(a) + y(a). Find the second derivative of p(z) wrt z.
-72*z
Let o = -48 + 62. What is the first derivative of -z**2 + 5*z**4 - o - 4 + z**2 wrt z?
20*z**3
Suppose 2*d + 3*d = 65. Let w = d - 11. Find the second derivative of 6*i**5 + 0*i**5 - 4*i + w*i wrt i.
120*i**3
Let u(t) be the first derivative of 9*t**4/4 - 11*t**3/2 + 11*t - 2. Let n(q) be the first derivative of u(q). What is the second derivative o