. What is the first derivative of 15*t**3 + 3 - 22*t**a + 4 wrt t?
-21*t**2
Find the second derivative of 99*d - 8*d**3 - 180*d + 107*d + 5*d**2 wrt d.
-48*d + 10
Let x(p) be the first derivative of -163*p**4/4 + 44*p**3 - p**2 + 144. What is the third derivative of x(d) wrt d?
-978
Let w(c) be the first derivative of -140*c**2 + 310*c - 317. What is the first derivative of w(n) wrt n?
-280
Let m(t) be the third derivative of -7*t**6/120 + t**5/15 - 163*t**4/12 - 368*t**2. What is the second derivative of m(p) wrt p?
-42*p + 8
What is the third derivative of 24*g**4 + 415*g**2 - 139*g**4 - 102*g**4 + 23*g**4 wrt g?
-4656*g
Let z(a) be the first derivative of -4*a**6/15 + 13*a**4/12 + 20*a - 12. Let s(m) be the first derivative of z(m). Find the third derivative of s(b) wrt b.
-192*b
Let d(s) = -s**2 - 11*s + 9. Let g be d(-12). Let x be 1 + (-1 - g) - -2. What is the second derivative of -2*p + 14 - 14 - 5*p**5 + p**x wrt p?
-80*p**3
Let a = 315/8 - 311/8. Let v(g) be the first derivative of 4 + 4*g - a*g**2. Differentiate v(i) with respect to i.
-1
Suppose 3*x + 3 = 0, -b + x + 18 = -0*b. Let q = -8 + b. What is the second derivative of q*h**5 - h**5 + 0*h**5 - 5*h + 11*h wrt h?
160*h**3
Let q = 12 + -8. Suppose -2*n = 3*g - 6 - 14, -g = -q. Find the first derivative of 3*y**n - 2*y**4 + 2*y**4 - 4 wrt y.
12*y**3
Let m(b) be the third derivative of b**5/10 - b**4/4 - 4*b**3/3 + 5*b**2 + 5. Differentiate m(g) with respect to g.
12*g - 6
Let f be 110/30 - (1 - -2). Let g(s) be the first derivative of 0*s**2 + 0*s + 0*s**5 - 4 - s**3 + f*s**6 + 0*s**4. Find the third derivative of g(b) wrt b.
240*b**2
Find the third derivative of 27*j**2 - 508 + 3*j**4 + 7*j**3 - 25*j**3 + 510 wrt j.
72*j - 108
Suppose 3*n = 6, -4*n + 9 = c - n. Find the second derivative of -c*v - v**2 - 5*v + 133*v**3 - 181*v**3 wrt v.
-288*v - 2
Let z(t) = -5 + 3*t - 7*t + 6*t - 5*t**2. Let n(h) = 4*h**2 - h + 6. Let v(k) = 5*n(k) + 6*z(k). What is the second derivative of v(m) wrt m?
-20
Let q(b) be the second derivative of -79*b**7/42 - b**6/30 + b**3 - 3*b**2/2 - 88*b. What is the second derivative of q(h) wrt h?
-1580*h**3 - 12*h**2
Let l be (0*(-4)/(-24))/(-3*1). Differentiate 5*d - 5*d + l*d**2 + 22*d**2 + 17 with respect to d.
44*d
Suppose -2*c - 2*v = -3 - 3, 13 = 5*c + 3*v. Find the third derivative of -14*w**4 - w + w - 15*w**2 + c*w**4 wrt w.
-288*w
Suppose -23 = -8*q + 1. Find the first derivative of -7*k**2 + 8*k + 48 + 9*k**2 + 23*k**q - 8*k wrt k.
69*k**2 + 4*k
Let d(q) be the third derivative of 33*q**5/10 + q**4/12 + 10*q**3/3 - 2*q**2 - 20. Find the second derivative of d(p) wrt p.
396
Let u(p) = -p**2 - p - 2. Let q(v) = 160*v**3 - 23*v**2 + 3*v + 4. Let x(f) = q(f) + 2*u(f). Find the third derivative of x(h) wrt h.
960
Let y(q) = -q + 8. Let g be y(4). What is the third derivative of 6*o**g + 934*o - 934*o + 30*o**2 wrt o?
144*o
Suppose 0 = -0*j + j - 4. Find the third derivative of -167*u**j + 18*u**5 + 26*u**2 + 87*u**4 + 80*u**4 wrt u.
1080*u**2
Let z(s) be the third derivative of -13/40*s**6 + 16*s**2 - 25/12*s**4 + 0 + 0*s**3 + 0*s**5 + 0*s. Find the second derivative of z(g) wrt g.
-234*g
Let r(l) = l**3 + l**2 - 9*l + 9. Let c(o) = -o**3 - o**2 + 4*o - 4. Let z(u) = -9*c(u) - 4*r(u). Find the third derivative of z(y) wrt y.
30
Let f be (-54)/(-4) + 38/(-76). What is the derivative of 26 - f*n + 11*n + 2*n**2 + 10*n wrt n?
4*n + 8
Let p(f) = -986*f**3 + 45*f**2 + 3*f + 39. Let d(q) = 197*q**3 - 8*q**2 - q - 8. Let j(w) = 11*d(w) + 2*p(w). Find the second derivative of j(k) wrt k.
1170*k + 4
Let r(t) = -9*t**2 + 5*t + 89. Let x(v) = v. Let i(j) = -2*r(j) + 10*x(j). Differentiate i(g) wrt g.
36*g
Let q(a) = -4*a**2 + 82*a + 481. Let d(n) = -13*n**2 + 252*n + 1443. Let v(y) = -3*d(y) + 10*q(y). Differentiate v(r) with respect to r.
-2*r + 64
Let p(b) = -b**3 - 2*b**2 + 35*b - 11. Let q(w) = 4*w**3 + 9*w**2 - 141*w + 44. Let r(d) = 9*p(d) + 2*q(d). What is the derivative of r(n) wrt n?
-3*n**2 + 33
Find the third derivative of 3*i**4 - 2*i**4 + 38*i + i**2 - 41*i + 0*i**4 + 8*i**2 - 227*i**5 wrt i.
-13620*i**2 + 24*i
Let o = -19 - -47. Find the third derivative of -2*v**5 - 4*v**5 + o*v**2 - 8*v**5 - 58*v**2 wrt v.
-840*v**2
Find the second derivative of 31*n**3 + 36*n**3 + 79*n**3 + 198*n**3 - 389*n + 48*n**3 wrt n.
2352*n
Suppose -v + 18 = 2*v. Differentiate -2*k**3 - v*k**3 + 2 + k**3 + 0 wrt k.
-21*k**2
Let n(m) be the second derivative of -7*m**4/6 + 67*m**2/2 - 14*m - 2. Find the first derivative of n(k) wrt k.
-28*k
Suppose 5*g + 29 = 2*z, -2*z = 3*z + 3*g - 150. Suppose -7 + z = 4*c. What is the third derivative of -c*d**6 - 4*d**2 - 6*d**2 + 3*d**2 wrt d?
-600*d**3
Suppose m + 3*j - 2 = 3*m, -5*j + 14 = 2*m. Differentiate -2*g**2 + 454 - 467 + 4*g**m with respect to g.
4*g
Let w(n) be the first derivative of 12*n**5/5 + n**4/2 + 4*n + 56. What is the derivative of w(j) wrt j?
48*j**3 + 6*j**2
Let s(z) = 394*z**2 + 7*z - 7. Let k(j) = -4*j**2 + j - 2. Let o(a) = -5*k(a) + s(a). Find the second derivative of o(q) wrt q.
828
What is the first derivative of 66 + 70*w + 87 + 47 - 243 wrt w?
70
Let h(r) be the third derivative of 1/56*r**8 - 7*r**2 + 0*r**6 + 0 + 0*r**7 + 0*r + 0*r**4 + 0*r**3 - 7/60*r**5. Find the third derivative of h(j) wrt j.
360*j**2
Let r(n) be the third derivative of n**6/40 - 79*n**5/30 + 70*n**4/3 + 3*n**2 + 58*n. Find the second derivative of r(f) wrt f.
18*f - 316
Let l be (-1*1)/((-14)/434). Let q = l - 27. Find the third derivative of s**2 + 0*s**4 - 2*s**4 + 2*s**q - 4*s**4 wrt s.
-96*s
Let b(w) be the third derivative of 47*w**8/112 - w**5/10 + w**4/24 - 4*w**2 - 46*w. Find the third derivative of b(g) wrt g.
8460*g**2
Let g(r) be the second derivative of -r**6/6 - r**5/4 - 5*r**3/3 - r**2 + 69*r. What is the second derivative of g(t) wrt t?
-60*t**2 - 30*t
Let m(z) be the first derivative of 236*z**5/5 + 9*z**2 + 420. Find the second derivative of m(o) wrt o.
2832*o**2
Let f(m) be the third derivative of 0*m + 0*m**6 - 2/15*m**7 + 9/2*m**3 + 0 + 33*m**2 + 0*m**5 + 0*m**4. Find the first derivative of f(z) wrt z.
-112*z**3
Suppose 3*z + 14 = -5*b, 4*b + 2 = -3*z + 2*b. What is the second derivative of 2*n + n**z + 3*n**3 + 0*n**2 - n**2 wrt n?
18*n
Let u(j) = 0 + 14*j**2 - 1 - 13*j**2 + 0*j**4 - j**4. Let z(b) = -21*b**4 + 3*b**2 + 3. Let w(t) = 3*u(t) - z(t). Find the first derivative of w(s) wrt s.
72*s**3
Let f(m) = 72*m - 6. Let u(k) be the second derivative of 6*k**3 - 3*k**2/2 - 29*k. Let j(a) = -3*f(a) + 5*u(a). What is the derivative of j(b) wrt b?
-36
Differentiate 38 + 12*p**3 - 27 + 38 wrt p.
36*p**2
Let u(t) be the second derivative of 31*t**7/210 - 5*t**3/2 - 17*t**2 + 2*t. Let o(i) be the first derivative of u(i). Differentiate o(l) with respect to l.
124*l**3
Let k(y) = -423*y**3 - 2*y**2 - y + 1. Let d be k(-1). What is the third derivative of -423*r + 33*r**4 + d*r - 11*r**4 + 20*r**2 wrt r?
528*r
Let u = -118 + 118. Let k(f) be the second derivative of -1/5*f**5 + 6*f + u*f**2 + 0*f**3 + 0 + 1/2*f**4. What is the third derivative of k(o) wrt o?
-24
Let k(g) = 59*g**2 - 46*g + 4. Let m(s) = -89*s**2 + 69*s - 5. Let l(a) = -7*k(a) - 5*m(a). What is the second derivative of l(w) wrt w?
64
Let a(o) be the second derivative of o**3 - 19*o**2/2 + 12*o. Let c(s) = -3*s + 10. Let h(r) = -3*a(r) - 5*c(r). Differentiate h(x) with respect to x.
-3
Let g(d) = 158*d**2 + 6*d + 108. Let z(x) = 8531*x**2 + 323*x + 5833. Let k(o) = -323*g(o) + 6*z(o). What is the derivative of k(u) wrt u?
304*u
Let p(b) be the first derivative of 253*b**6/6 - 77*b**2/2 - 599. What is the second derivative of p(r) wrt r?
5060*r**3
Let h(q) = q**3 + q**2 + q + 1. Let r(f) = -9*f**3 - 2*f**2 - 8*f - 56. Let i(t) = -2*h(t) - r(t). What is the derivative of i(l) wrt l?
21*l**2 + 6
Let o(d) = d**3 - 8*d**2 - 3. Let p be o(8). Let y be (9 + p)/(-3 - -6). What is the first derivative of 3*c**4 + 4 - 1 + 3 + y wrt c?
12*c**3
Suppose 5*u - 10 = 4*z, 0*u = -3*u - 2*z + 6. Let v(w) = w + 5. Let t be v(-3). What is the derivative of -t*m**2 + 3*m**u + 3*m**2 - 6 - 3*m**2 wrt m?
2*m
Suppose -6*p - 2 + 14 = 0. What is the third derivative of 12*v**p + 26*v**5 - 6*v**5 - 3*v**5 wrt v?
1020*v**2
Let r(v) be the third derivative of v**9/504 - v**7