- 4*r - 23*r**4 wrt r.
144*r**2
Suppose -69 = 3*j - 5*q - 14, -40 = 2*j - 4*q. Let u be (-4)/j - (-15)/25. Differentiate -2*z**3 - 2 + u + z**3 wrt z.
-3*z**2
Let g be 0 - (0 - 4) - -4. Let f = g - 5. Find the third derivative of -4*w**f - 7*w**2 + 2*w**3 + 5*w**3 wrt w.
18
Let i(j) = -j**2 - 4*j + 8. Let b be i(-6). Let o be (b/6)/(5/(-15)). What is the derivative of -2 - 5*n**2 + 1 + n**o + 4 wrt n?
-8*n
Suppose -18*n + 16*n + 8 = 0. Differentiate -3 - n*s - s - s + 5*s with respect to s.
-1
Suppose 2*p + 1 = 4*d - p, 2*p - 6 = d. Differentiate -31 + 32 + 0*s**4 + d*s**4 with respect to s.
16*s**3
Find the first derivative of -255*s**2 + 0*s - s + 3*s - 67 - 2*s wrt s.
-510*s
Let u(m) = m**3 + 12*m**2 + 10*m - 11. Let y be u(-11). Differentiate y*g**2 - 13 + 23 + 6*g**2 wrt g.
12*g
Suppose -3*j = -j - 4*a - 14, 0 = 4*j + 3*a + 27. Let s be 2 + j/((-12)/28). Differentiate -s*h**2 - 1 - 3 + 3*h**3 + 9*h**2 wrt h.
9*h**2
Let j(x) be the first derivative of x**6/120 + 7*x**4/24 + 5*x**3 + 3. Let p(w) be the third derivative of j(w). Find the first derivative of p(b) wrt b.
6*b
Let y(a) = -176*a**2 + 2*a - 419. Let x(t) = -t**2 + t - 3. Let c(p) = -2*x(p) + y(p). What is the first derivative of c(r) wrt r?
-348*r
Let j(r) be the second derivative of r**4/4 + 95*r**3/6 + 83*r**2/2 + 309*r. What is the first derivative of j(c) wrt c?
6*c + 95
Let h(u) be the first derivative of 26*u**3/3 + u**2/2 - 74*u - 223. Differentiate h(i) wrt i.
52*i + 1
Suppose 7*o = 20*o - 74*o. Let q(t) be the second derivative of 0*t**2 + 0 + 1/2*t**3 + o*t**4 - 3*t + 1/4*t**5. What is the second derivative of q(j) wrt j?
30*j
Find the second derivative of 5414*v**2 + 60*v - 5414*v**2 + 155*v**4 + 221*v - 27*v**4 wrt v.
1536*v**2
Let m(p) = -p**2 + 13*p + 16. Let w be m(14). What is the derivative of 1 - 6*c**2 + 0*c**4 - 15*c**4 + 6*c**2 - w*c**2 wrt c?
-60*c**3 - 4*c
Let h(d) = 3 - 3 - d + 1. Let k(u) = -2*u**2 - 10*u + 8. Let f be 32/(-48)*3/(-2). Let t(y) = f*k(y) - 8*h(y). What is the second derivative of t(x) wrt x?
-4
Suppose -2*o + 0*o + 8 = 4*d, -4*d = -2*o. What is the third derivative of -11*w**2 - 2*w**5 - w**5 + 8*w**o wrt w?
-180*w**2
Suppose 2*n - 18 = 2*r + 4*n, 2*n = -10. Let g be -1*-3*r/(-3). What is the first derivative of -8 + 15*u**4 - 21*u**g + 10*u**4 wrt u?
16*u**3
Let k(s) = -539*s**3 - 208*s**2 - 16*s + 11. Let l(q) = 108*q**3 + 42*q**2 + 3*q - 2. Let y(f) = -2*k(f) - 11*l(f). Find the third derivative of y(w) wrt w.
-660
Let s(w) = -41 - 5 + 56*w**3 - 6 + 5*w**2. Let c(z) = 28*z**3 + 2*z**2 - 26. Let q(b) = 5*c(b) - 2*s(b). Find the first derivative of q(y) wrt y.
84*y**2
Let j = 34 - 27. Let v(b) = 6*b**2 - 21*b. Let w(t) = 3*t**2 - 10*t. Let p(a) = j*w(a) - 3*v(a). What is the second derivative of p(i) wrt i?
6
Let a = 2153 - 2149. Let c(v) be the third derivative of 0*v**5 - 12*v**2 + 1/40*v**6 + 0 + 1/6*v**a + 0*v + 0*v**3. Find the second derivative of c(n) wrt n.
18*n
Let v(r) be the first derivative of 2*r**3/3 + 2*r**2 - 258*r + 945. Differentiate v(j) wrt j.
4*j + 4
Suppose 0 = -2*o - o + 6. Suppose -o*s + 12 - 2 = 0. What is the third derivative of 2*p**5 - 3*p**s - 4*p**2 - p**5 + 3*p**2 wrt p?
-120*p**2
Suppose 5*n - 142 + 57 = 0. What is the second derivative of -n*k + 1 + 6*k**5 - 1 + 0*k**5 wrt k?
120*k**3
Let q(s) = s + 3 + 2 - 8 + 4. Let k(j) = -2*j + 17. Let w(g) = -k(g) + 3*q(g). What is the first derivative of w(y) wrt y?
5
Let g(w) = 5*w**3 - 22*w**2 - 2. Let f(l) = 5*l**3 - 23*l**2 - 2. Let y(z) = -6*f(z) + 7*g(z). What is the third derivative of y(i) wrt i?
30
Let l(y) = 10*y**5 - 2*y**2 + 10*y - 4. Let a(v) = -58*v**5 + 11*v**2 - 60*v + 23. Let x(w) = 6*a(w) + 34*l(w). What is the second derivative of x(q) wrt q?
-160*q**3 - 4
Let d(p) = 1944*p - 2349. Let w(g) = -134*g + 162. Let l(t) = 5*d(t) + 72*w(t). Differentiate l(z) with respect to z.
72
Let l(s) be the third derivative of s**7/42 + s**4/24 - s**3/6 - 79*s**2. What is the derivative of l(p) wrt p?
20*p**3 + 1
What is the second derivative of 11*z - 1 + z + 19*z**3 + 157*z**3 + 3 wrt z?
1056*z
What is the first derivative of -1110 - 151*z**2 + 2073 - 1056 + z wrt z?
-302*z + 1
Find the first derivative of 394*p**2 - 52 - 397*p**2 + 2*p**3 - 130 wrt p.
6*p**2 - 6*p
Let m = 578 - 572. Let y(l) be the first derivative of 11*l - 5/3*l**3 - m + 0*l**2. Differentiate y(f) wrt f.
-10*f
Let v(h) be the first derivative of -74*h**5/5 + 31*h**2/2 + 70. Find the second derivative of v(y) wrt y.
-888*y**2
Find the second derivative of -45*b**3 + 64*b - 4*b**2 + 272*b + 164*b + 82*b**3 wrt b.
222*b - 8
Let h = 16 + -15. Suppose 0 = 3*x + 4*r + h, 0 = -x - 3*r - 2. Find the second derivative of -3 + 2 + x - 2*v**4 + v wrt v.
-24*v**2
Suppose -14 = -9*n + 4. Find the third derivative of -5*q + 5*q - 218*q**2 + 32*q**4 + 181*q**n wrt q.
768*q
Suppose -3*z - 10 = -y - 0*y, -2*y + 2*z + 24 = 0. Let x(j) = j**2 + 5*j - 2. Let r be x(-6). Differentiate -6 - y*f**r + 10*f**4 - 3*f**4 with respect to f.
-24*f**3
Let u be 5 - (-7)/((-14)/(-4)). Suppose -d + 4*l = -13 + 1, 3*d - 3*l = 27. Differentiate -u*n**3 - 6 + 10 - d wrt n.
-21*n**2
Let f(m) = -m**4 + 52*m**3 + 4*m**2 + 39*m. Let q(h) = -h**3 - h**2 + 3*h. Let d(r) = f(r) + 3*q(r). What is the third derivative of d(a) wrt a?
-24*a + 294
Let o(q) be the second derivative of -q**5/10 - 61*q**4/6 + 691*q**3/6 + 29*q + 3. Find the second derivative of o(r) wrt r.
-12*r - 244
Suppose -5*h + 72 + 43 = 0. Find the third derivative of -2 + 2 + 8*d**2 - 10*d**3 - h*d**3 wrt d.
-198
Find the third derivative of -172*i**3 - 2 + 61*i**2 - 632*i**2 + 2 - 352*i**3 wrt i.
-3144
Let q = 27 - 25. Let m(f) = 6*f**2 + 2*f + 3. Let k(u) = -7*u**2 - 3*u - 2. Let w(b) = q*m(b) + 3*k(b). Find the second derivative of w(x) wrt x.
-18
Suppose 0 = -5*f - a + 6 + 12, -f + a = 0. Let c(g) be the first derivative of 0*g**2 - f - 6*g - 5/3*g**3. What is the first derivative of c(j) wrt j?
-10*j
Let g be 0/2 - -12*1. Suppose 2*o - g = -o. Find the second derivative of 0*v**5 + 6*v**5 + o*v - v**5 - 4*v**5 wrt v.
20*v**3
Let a = 38 + -30. What is the derivative of -a + 9*x + 3 - 9*x - 9*x**2 wrt x?
-18*x
Differentiate 516 + c + 10932*c**4 - 10933*c**4 + 4*c**3 - 4*c**3 - 15*c with respect to c.
-4*c**3 - 14
What is the second derivative of 2940*f - 2792*f - 2*f**2 + 21*f**2 wrt f?
38
Suppose 0 = -4*k + 3*q + 8, 2*q - 8 = -0*q. What is the first derivative of -7 - 9*n**2 - k + 6 wrt n?
-18*n
Let c(t) be the first derivative of 3*t**4/2 + 2*t**3/3 - t**2 + 20*t + 37. Find the second derivative of c(w) wrt w.
36*w + 4
Suppose 5*l - 26 - 54 = 0. Find the second derivative of 4 + 4*s + 5 - 9 + l*s**2 wrt s.
32
Let l(t) = t**2 + 2*t - 1. Let r(c) = -150*c**2 + 4*c + 534. Let q(k) = -2*l(k) + r(k). What is the derivative of q(h) wrt h?
-304*h
Let j = -217 - -217. Let z(i) be the first derivative of -1/4*i**4 + j*i - 2/3*i**3 - 3 + 0*i**2. What is the third derivative of z(l) wrt l?
-6
Let g(p) = 161*p**2 + 8*p - 334. Let k(c) = 324*c**2 + 18*c - 668. Let m(u) = 9*g(u) - 4*k(u). Differentiate m(o) wrt o.
306*o
Let z be 2/4 - (-27)/18. Find the second derivative of 3*x - x + 5*x**z - 6*x**2 wrt x.
-2
Find the second derivative of -50*v**4 - 2618*v**3 + 3*v + 1 + 2618*v**3 wrt v.
-600*v**2
Let c(a) = -98*a**2 - 5*a + 156. Let t(d) = d**2 + d. Let h(i) = -c(i) - 5*t(i). What is the first derivative of h(n) wrt n?
186*n
Suppose 3*k - 9 = 0, 0 = -4*f + k - 3 + 4. Let i(d) = d + 1. Let c(s) = -5*s - 5. Let b(t) = f*c(t) + 4*i(t). Differentiate b(v) wrt v.
-1
Differentiate 6*p - 52 + 13 - 2*p + 8*p wrt p.
12
What is the second derivative of -114*z**4 + 19*z**4 - 28 + z + 36 wrt z?
-1140*z**2
What is the second derivative of -n**2 + 44 - 45 + 9*n + n**2 + 107*n**4 + 0*n**2 wrt n?
1284*n**2
Let g = -85 - -88. Let m(n) be the third derivative of -3*n**2 - 1/15*n**5 + 0*n**g + 0*n + 0*n**4 - 1/24*n**6 + 0. What is the third derivative of m(j) wrt j?
-30
Let j(x) be the second derivative of -1/7*x**8 + 0*x**3 + 0 + 0*x**6 + 0*x**5 - 6*x + 5/12*x**4 + 0*x**2 + 0*x**7. What is the third derivative of j(m) wrt m?
-960*m**3
Let u(w) be the first derivative of 0*w**2 + 0*w**4 - 6 - 24/5*w**5 + 23*w + 0*w**3. What is the first derivative of u(f) wrt f?
-96*f**3
Let t be (-1)/(-4 + 2