 + 5700*s**2
Suppose -p = 0, -6*p = -2*c - 3*p + 26. Let y = -9 + c. Find the first derivative of -5*h**4 + 12*h**4 - 3 - y wrt h.
28*h**3
Let k(l) be the second derivative of l**6/6 - 11*l**4/12 - 51*l**2 - 8*l - 7. Differentiate k(n) wrt n.
20*n**3 - 22*n
Find the second derivative of 120*a - 234*a**3 - 41*a + 108 - 32*a - 46*a wrt a.
-1404*a
Differentiate -347874*p**2 + 550 + 348101*p**2 + 208 + 56 with respect to p.
454*p
Let k(d) = -d**2 + 9*d - 1. Let g be k(8). Let c = g - 2. What is the second derivative of -o**5 - o**c + 109*o - 106*o wrt o?
-40*o**3
Let c(r) be the third derivative of -7*r**5/15 - r**4/12 - 2*r**3 - 12*r**2 + 9. What is the second derivative of c(k) wrt k?
-56
Let q(o) be the third derivative of o - o**2 + 13/60*o**6 + 0 + 25/6*o**3 + 0*o**5 + 0*o**4. Differentiate q(x) wrt x.
78*x**2
Let n(x) = -x**3 + 7*x**2 - 6*x + 2. Let p be n(6). What is the third derivative of -5*a**2 - 12*a**2 + 7*a**3 + a**p wrt a?
42
What is the first derivative of 412*o**2 - 701*o**2 - 91 - 126 wrt o?
-578*o
Let h(w) = -w + 8. Let l be h(4). What is the first derivative of 1 + 0 + 4*m + l wrt m?
4
Find the third derivative of -113996*o**5 - 169*o**3 + 0 + 113994*o**5 + 2 - 64*o**2 wrt o.
-120*o**2 - 1014
Let v(k) be the second derivative of -k**6/5 + k**5/5 + 559*k**2/2 - 2*k + 270. Differentiate v(x) with respect to x.
-24*x**3 + 12*x**2
Find the third derivative of -m**2 + 65 - 184 - 3*m + 2*m + 161*m**4 + m wrt m.
3864*m
Let n(o) = -7776*o + 819. Let h(z) = -707*z + 74. Let i(t) = 45*h(t) - 4*n(t). What is the first derivative of i(m) wrt m?
-711
Let i(t) = 198*t**4 - t**3 + 160*t**2 - t + 7. Let w(l) = 65*l**4 + 53*l**2 + 2. Let s(f) = 2*i(f) - 7*w(f). What is the third derivative of s(m) wrt m?
-1416*m - 12
What is the first derivative of -160 + 73*s + 18*s - 176*s wrt s?
-85
Let w(m) = 5*m**3 + 184*m**2 - 742. Let j(f) = 4*f**3 + 181*f**2 - 743. Let v(i) = -6*j(i) + 5*w(i). What is the derivative of v(t) wrt t?
3*t**2 - 332*t
Let b be (16/(-10))/((30/(-25))/3). Find the second derivative of 13*a - 2*a - 16*a**4 + 4*a**b - 20*a**4 wrt a.
-384*a**2
Let g be (1 + (-1)/3)/((-12)/(-54)). Let n = -13 + 20. Find the first derivative of 0*t - n + 0*t - g*t**3 + 5*t**3 wrt t.
6*t**2
Let m(x) = x**2 - x + 1. Let j be m(2). Suppose -2*p = 5*u - 0*p + 8, -j*p = 12. Differentiate -2*a**2 + u + 3*a**2 - 6 + 1 with respect to a.
2*a
Let k = -1784 + 7137/4. Let l(m) be the second derivative of 1/2*m**2 + 6*m + 0*m**3 + 0 - k*m**4. Differentiate l(o) with respect to o.
-6*o
Let v(m) be the first derivative of -m**5/5 - 25*m**4/4 + 142*m**3/3 - 182. Find the third derivative of v(w) wrt w.
-24*w - 150
Let d(w) be the second derivative of -11*w**6/30 - 2*w**4/3 - 20*w**3/3 + w**2/2 - 30*w + 1. What is the second derivative of d(y) wrt y?
-132*y**2 - 16
Let h(u) be the third derivative of u**6/4 + u**4/24 + 49*u**3/3 - 9*u**2. Differentiate h(l) with respect to l.
90*l**2 + 1
Let v(j) be the second derivative of -247*j**6/30 + j**5/20 + 25*j**4 + 13*j - 3. Find the third derivative of v(s) wrt s.
-5928*s + 6
Let a(w) be the first derivative of w**10/252 - w**6/40 + 8*w**3 - 2. Let k(u) be the third derivative of a(u). What is the third derivative of k(d) wrt d?
2400*d**3
What is the third derivative of 9*p**2 + 57094*p**6 + 10*p**3 - 247*p**2 - 57095*p**6 wrt p?
-120*p**3 + 60
Suppose 20 = -13*g + 18*g. Find the second derivative of -13*a**g + 30*a**4 + 4*a + 3*a**4 + 16*a**4 wrt a.
432*a**2
Let y(g) be the second derivative of 7*g**3/3 + 119*g**2/2 - 3*g + 32. Differentiate y(b) with respect to b.
14
Let s = 104 + -70. What is the derivative of 17*f - 8*f - 14 + s wrt f?
9
Let j(o) = -o**2 + 2*o + 1. Let f be j(2). Let y(m) = -9*m + 20. Let h be y(2). What is the second derivative of f - 5 + 2*p + 4 - 2*p**h wrt p?
-4
Suppose 12 = -0*u + u. Find the second derivative of 6*x**3 - 26*x + 10*x + u*x**3 - 6*x**3 wrt x.
72*x
Find the third derivative of 134*m**2 + 141*m**2 - 94*m**6 - 291*m**2 + 2*m wrt m.
-11280*m**3
Let u be (0 - (-2)/4)*(-6)/(-3). What is the first derivative of 9 + 11*d - 3*d + 5*d - u wrt d?
13
Suppose 4*x + 8 = 0, -t + 6*t + x + 2 = 0. Suppose t*z + 5*z - 15 = 0. Find the second derivative of 5*f + 0*f + f**2 - 3*f**2 + z*f wrt f.
-4
What is the second derivative of -177*t - 344*t + 46*t - 17*t**2 - 42*t**2 + 42*t - 3*t**3 wrt t?
-18*t - 118
Let j(y) = -5*y**4 - 4*y**2 + 275*y + 177. Let l(x) = 6*x**4 + 5*x**2 - 275*x - 178. Let n(i) = 5*j(i) + 4*l(i). What is the first derivative of n(z) wrt z?
-4*z**3 + 275
Let h(l) = 59*l**5 - 2*l**4 - 37*l**2 + 2. Let p(y) = 58*y**5 - 3*y**4 - 39*y**2 + 3. Let k(o) = 3*h(o) - 2*p(o). Find the third derivative of k(c) wrt c.
3660*c**2
Let o be 24/9 - (-4)/(-6). What is the first derivative of 2*p**o - 11 - 13 - 5 wrt p?
4*p
What is the second derivative of -128*u**4 - 16 - u + 128*u**4 + 25*u**5 + 0*u wrt u?
500*u**3
What is the second derivative of 117*x**3 - 256*x**3 + x**5 + 120*x**3 - 166*x wrt x?
20*x**3 - 114*x
Let o(h) = 3*h**5 + h**4 - h**3 - 3*h**2 + h + 1. Let b(i) = i**5 + i**4 - i**3 + i + 1. Let m(d) = -b(d) + o(d). Find the third derivative of m(w) wrt w.
120*w**2
Let h = 6 - 4. Let y(v) = 3*v**h - 5 - 16*v**2 - 4*v**2 + 3. Let w(g) = -6*g**2 - 1. Let k(q) = -11*w(q) + 4*y(q). What is the derivative of k(f) wrt f?
-4*f
Let s be 2*(0 + 1/1). Differentiate 5*p + 4*p - s*p + 0*p - 7 wrt p.
7
Suppose -12*v = -2*v - 1550. Find the first derivative of -155*l + v*l + 37 - 31*l**3 wrt l.
-93*l**2
Let w = 6 - -13. What is the second derivative of 7*l**2 + 37 - 2*l - 18 - w wrt l?
14
Let h(u) be the second derivative of 0*u**3 - 25/12*u**4 - 18*u**2 + 0 - 41*u. What is the first derivative of h(d) wrt d?
-50*d
Let p(g) be the second derivative of 77*g**6/30 + g**4/6 + 5*g**2/2 - 56*g. Find the third derivative of p(v) wrt v.
1848*v
Suppose -4*g - 3*r = -5, -3*r - 1 = -2*r. Find the third derivative of -49*u**5 + 7*u**g + 0*u**2 + 10*u**5 + 20*u**2 wrt u.
-2340*u**2
Let b(x) = 12*x**3 - 40*x**2 - 21*x - 3. Let r(t) = t**3 - 5*t**2 - t - 1. Let d(i) = -b(i) + 4*r(i). What is the second derivative of d(n) wrt n?
-48*n + 40
Suppose 5*h + 3*n - 12 = 0, 0*n + n + 1 = 0. Suppose -3*u + 15 = g + 2*g, 21 = 5*g + h*u. What is the first derivative of -3*t**g + 0*t + 0*t + 0 - 2 wrt t?
-9*t**2
Let b be (-1 - 3) + 3509/11. Suppose -f + b = 4*f. What is the second derivative of 3*g + f - 10*g**5 - 63 wrt g?
-200*g**3
Let i(j) be the first derivative of -33*j**7/7 - j**6/3 + j**3 - 3*j**2 - 242. What is the third derivative of i(c) wrt c?
-3960*c**3 - 120*c**2
Let z(w) be the first derivative of 72*w**5/5 - 3*w**2 - 31. What is the second derivative of z(o) wrt o?
864*o**2
Let t = -95 - -101. Find the third derivative of -5*q**6 + 0*q**6 - q**6 - t*q**6 + 3*q**2 wrt q.
-1440*q**3
Let q(z) = 2*z**4 - 17*z**2 - 115*z + 5. Let m(j) = 2*j**4 - 16*j**2 - 114*j + 6. Let n(k) = -5*m(k) + 6*q(k). Find the second derivative of n(a) wrt a.
24*a**2 - 44
Let f(l) = 7*l + 33 + 2 + 49*l + 5. Let p(k) = 11*k + 8. Let y(q) = 3*f(q) - 16*p(q). What is the derivative of y(n) wrt n?
-8
Let o(t) be the second derivative of -289*t**6/30 - 89*t**2 + 2*t + 4. What is the first derivative of o(j) wrt j?
-1156*j**3
Let z(l) = 5*l - 3. Let w(i) = -10*i + 5. Let t(x) = -6*w(x) - 10*z(x). Let g be t(1). Find the first derivative of -5*s**2 - 10*s + g*s + 1 wrt s.
-10*s
Let t(z) = -15*z**4 + 6*z**2 - 31*z - 7. Let i(h) = -h**4 - 2*h**2 - h + 2. Let y(d) = -3*i(d) - t(d). Find the second derivative of y(l) wrt l.
216*l**2
Let q(s) = -325*s**3 + 7*s**2 + 7*s + 127. Let y(j) = 162*j**3 - 4*j**2 - 4*j - 64. Let d(r) = -4*q(r) - 7*y(r). Find the first derivative of d(f) wrt f.
498*f**2
Let s(i) = -i**2 - 3*i + 1. Let n(y) = -51*y**2 + 124*y - 3. Let a(p) = -n(p) - 3*s(p). What is the second derivative of a(k) wrt k?
108
Suppose 0 = -4*s + s - 2*l, 4*l = 2*s. Suppose 0 = 2*t - s*t + 2*q - 18, -2*t + q = -6. Find the third derivative of t*r**2 - r**6 + 0*r**2 + 4*r**6 wrt r.
360*r**3
Let w(l) be the second derivative of 143*l**7/42 - 73*l**3/3 + 120*l. What is the second derivative of w(k) wrt k?
2860*k**3
Find the third derivative of 4*h**2 + 25*h**3 - 8 - 8*h**2 + 8*h**4 - 23*h**3 wrt h.
192*h + 12
Find the third derivative of 319 - 320 