.
60*t
Find the third derivative of -105*h**2 - 120*h**4 + 13*h**6 - 53*h**4 + 256*h**2 + 211*h**2 - 14*h**6 wrt h.
-120*h**3 - 4152*h
Suppose -6*c + 4*c + 108 = 0. Suppose 3*k = l - 17, -8*k = -9*k - 5. Find the second derivative of -54*t**3 + 2*t + l*t**4 + c*t**3 wrt t.
24*t**2
What is the derivative of -211 + 215*i**2 - 3*i**3 + 2*i**3 - 1 wrt i?
-3*i**2 + 430*i
Let q(v) = 4*v**4 - 10*v**2 + 6*v. Let d(n) = -4*n + 2*n + 3*n - n**2. Let g(t) = -12*d(t) + 2*q(t). Find the third derivative of g(y) wrt y.
192*y
What is the derivative of 191 - j**2 - 392*j**4 + 258*j**4 + 22 + j**2 wrt j?
-536*j**3
Suppose 3 = -4*u + 11, -3*u = 2*f + 2. Let g(m) = -8*m - 4. Let o be g(f). Find the third derivative of o - 28 + h**3 + 9*h**2 - 7*h**3 wrt h.
-36
Let a(v) = 2*v**2 + 4*v + 2. Let n be a(-2). Let u be (-3 + 1 - -4)/1. Find the second derivative of -4*i**3 - 15 + n*i + 15 + u*i wrt i.
-24*i
Let r(i) = 762*i**3 - 20*i + 912. Let u(y) = 761*y**3 - 16*y + 913. Let w(p) = -4*r(p) + 5*u(p). What is the derivative of w(s) wrt s?
2271*s**2
Let n(k) = -3*k + 3. Let f be n(7). Let s = 21 + f. What is the derivative of -1 - q**4 - 2 - s*q**4 wrt q?
-16*q**3
Let l(r) be the third derivative of 19*r**7/42 + 83*r**4/24 - r**2 - 6*r. Find the second derivative of l(p) wrt p.
1140*p**2
Let j(x) = x**2 + 4*x - 2. Let v be j(-5). Suppose 3*y - 8 = 2*a, 2*y - 5 = -2*y - v*a. What is the first derivative of 4*u**2 + 9 + 4*u**y - 3 wrt u?
16*u
Suppose -5*d - 11*d = -368. What is the third derivative of 28*i**2 + d - 27*i**6 - 23 wrt i?
-3240*i**3
Let o(h) be the first derivative of 243*h**2/2 - 327*h - 276. Find the first derivative of o(a) wrt a.
243
Differentiate 20*z**3 - 125 - 3*z - 12*z**3 - 7*z**3 + z - 16*z**3 with respect to z.
-45*z**2 - 2
Suppose 6*u - 10*u = -20. What is the derivative of w**2 - u + 14 + 21 wrt w?
2*w
Let v(y) be the third derivative of y**7/105 + 31*y**6/40 - y**4/6 - y**3/6 + 10*y**2. Find the second derivative of v(a) wrt a.
24*a**2 + 558*a
Let b(d) = 5*d**5 + 13*d**4 + 12*d**3 + 6*d**2 - 21*d - 2. Let r(u) = u**5 - 2*u**3 - u**2. Let w(k) = -b(k) - 6*r(k). Find the second derivative of w(f) wrt f.
-220*f**3 - 156*f**2
Let w be 4/(-6) - 192/(-72). What is the second derivative of -8*r - 9*r**w - 23*r**2 + 3*r**2 wrt r?
-58
Let d(l) = -9*l**3 - 5*l + 4. Let t(r) = -r**3 + r + 1. Let s be ((-6)/2)/((-30)/40). Let n(z) = s*t(z) - d(z). Find the second derivative of n(f) wrt f.
30*f
What is the second derivative of -28*v**2 - 217*v**2 - 14*v**2 + 571*v - 515*v wrt v?
-518
Let h(c) = -c**2 - 55*c - 202. Let l be h(-4). Let r(s) be the first derivative of 1/3*s**3 + 0*s - 4 - 7/2*s**l. What is the second derivative of r(j) wrt j?
2
Let o = 17 + -15. What is the second derivative of -4*w**2 + 0*w**o - 12*w**2 - 3*w**2 - 7*w wrt w?
-38
Let s = 505/144 - 1/144. Let o(a) be the first derivative of 6 + 0*a**3 + 0*a - s*a**2 + a**6 + 0*a**5 + 0*a**4. What is the second derivative of o(h) wrt h?
120*h**3
Let t(z) be the second derivative of -35*z**3/6 - 6*z**2 + 142*z. Differentiate t(u) wrt u.
-35
Let d(h) = -h**3 + 7*h**2 + 21*h - 21. Let g be d(9). What is the first derivative of 879*z + 9 + 1 - 869*z + g wrt z?
10
Suppose -4*y - 20 = -0. Let d(i) = i**4. Let x(u) = -7*u**4 + 19*u**2. Let j(b) = y*d(b) - x(b). What is the third derivative of j(g) wrt g?
48*g
Let x(k) = -k**2 - 7*k - 6. Let t be x(-6). Let i be (-2)/((t - -1)/(-2)). Differentiate 21*v**4 - 3 - 1 - 14*v**i wrt v.
28*v**3
Let j be 28/6 - (-3)/9. Suppose j*c = l + 67, -c + 2*l + 17 = -0*l. What is the second derivative of c*t + 2*t**2 - 7*t**2 - 3*t**2 wrt t?
-16
Let z(y) be the second derivative of 47*y**4/12 - 5*y**3/6 + 625*y**2/2 - y + 19. What is the derivative of z(v) wrt v?
94*v - 5
Let a(y) = -8*y**3 - 11*y**2 - 8 + y + 4 - 5*y. Let b(w) = 8*w**3 + 11*w**2 + 3*w + 3. Let c(i) = -3*a(i) - 4*b(i). What is the third derivative of c(h) wrt h?
-48
Let s(j) be the second derivative of 0*j**4 + 5/2*j**2 + 11/20*j**5 - 6*j + 0 + 0*j**3. Find the first derivative of s(n) wrt n.
33*n**2
Find the third derivative of -2*l**3 - 2 + 17*l**2 - 58*l**4 + 5*l**3 - 3*l**3 wrt l.
-1392*l
Let w(o) be the second derivative of -587*o**6/30 + 23*o**2/2 - 2*o + 48. What is the derivative of w(y) wrt y?
-2348*y**3
Let o(v) = -17*v**3 - 14*v**2 - 8*v - 248. Let y(w) = -15*w**3 - 13*w**2 - 6*w - 250. Let i(t) = -2*o(t) + 3*y(t). Find the second derivative of i(b) wrt b.
-66*b - 22
Let l(w) = -w**2 - 10*w - 6. Let x = -15 + 6. Let j be l(x). What is the second derivative of j*b**4 - 3*b - 5*b**4 - b**4 + 7*b**4 wrt b?
48*b**2
Let i(j) = 37*j - 318. Let n(x) = 112*x - 954. Let p(q) = -7*i(q) + 2*n(q). Differentiate p(k) wrt k.
-35
Let d be ((-1)/(-4))/(12/96). Find the second derivative of 3 + 6*x**d - 12*x + 0*x - 3 wrt x.
12
What is the second derivative of -y - y + 117*y**2 - 5 - 5*y + 3*y wrt y?
234
Suppose 3*v = -3*i + 75, -2*i = 3*v - 97 + 17. Suppose -3*l + v = 2*l. Find the third derivative of -8*j**l + 9*j**6 + 4*j**2 + 7*j**2 wrt j.
120*j**3
Let s be (-6)/21 + (-204)/21. Let n be 21/15 + 4/s. Find the third derivative of 7*k**3 + 5*k**2 - 6*k**3 + n - 1 wrt k.
6
Let c = -40 + 43. Differentiate 12*g**4 + 4 - 5 - 8 + c*g**4 with respect to g.
60*g**3
Suppose 0*z + 2*w = 2*z - 8, -3*w = 3*z - 12. What is the derivative of -10*y**4 + y**4 + 27*y**z + 4*y**4 - 6 wrt y?
88*y**3
Let x be (26/(-65))/(2/(-30)). Suppose -3*w - x = -18. What is the third derivative of y**w - 5*y**4 - 2*y**4 - 8*y**2 wrt y?
-144*y
What is the second derivative of -83*c - 11*c**4 + 108*c - 77*c + 48*c**4 wrt c?
444*c**2
What is the second derivative of -81*h**2 + 87*h**2 + 49*h + h**4 + 3*h**4 wrt h?
48*h**2 + 12
Let w be (-20 - -22)/(2/(9 - 1)). What is the second derivative of -22*a**3 + 5*a + 4 - w*a**4 + 5*a**4 - 3*a**4 + 5*a**4 wrt a?
-12*a**2 - 132*a
Let n(l) = l**3 - l**2 + l - 1. Let j(b) = -10*b**5 + 2*b**3 + 70*b**2 + 2*b - 2. Let r(u) = j(u) - 2*n(u). Find the third derivative of r(v) wrt v.
-600*v**2
Find the third derivative of 14*t - 5*t**6 + 323*t**2 - 321*t**2 + 4*t**6 wrt t.
-120*t**3
Find the second derivative of 0 - 4 - 33*i - 2 + 6 - 1 - 182*i**2 wrt i.
-364
Let m = 9 + 2. Find the second derivative of -26*y + 81*y + 37*y**2 - m*y wrt y.
74
Suppose 3*s - 6*s + 12 = 2*n, -5*s = 0. Let r be n/4 - 22/(-4). What is the third derivative of -t - t**4 + 5*t**2 + t - r*t**2 wrt t?
-24*t
Differentiate 118 + 15902*n**2 - 44 - 283*n**3 - 15902*n**2 wrt n.
-849*n**2
Let c = 135 - 62. What is the second derivative of -35*s**5 - s**5 - 54*s + c*s wrt s?
-720*s**3
Let v = 3901/10 + -390. Let i(z) be the third derivative of 0*z**3 - v*z**5 + 0 + 1/8*z**4 + 0*z - 3*z**2. What is the second derivative of i(r) wrt r?
-12
Let m(r) be the third derivative of -r**9/72 - r**6/8 - 141*r**5/20 - 48*r**2 - 5*r. What is the third derivative of m(v) wrt v?
-840*v**3 - 90
Let u be 3 - -1 - (2 - 0). Suppose 0 = n - 4 + u. Find the third derivative of -4*g**2 - 6*g**6 + 2*g**6 + g**n + g**2 wrt g.
-480*g**3
Let v(h) be the second derivative of -h**6/60 + h**5/120 + 5*h**4/4 - 5*h. Let c(t) be the third derivative of v(t). Differentiate c(k) wrt k.
-12
Suppose 0 = 4*l - 3*k + 8 + 8, -5*l - 20 = 5*k. Let a be 6/10 - l/10. Differentiate -4*j**4 + 0 - a + j**4 + 2*j**4 with respect to j.
-4*j**3
Let p(w) = 21*w + 11. Suppose -9 = -27*g + 26*g. Let l(x) = 10*x + 5. Let r(a) = g*l(a) - 4*p(a). Differentiate r(y) with respect to y.
6
What is the second derivative of 50*l**3 + 108*l**3 + 1 - 92*l - 77*l + 44*l wrt l?
948*l
Let p be (-3 - 0)/(3/(-2)). Let t = 1 + p. What is the third derivative of t + 6*m**4 - 3 - 4*m**2 - 7*m**4 wrt m?
-24*m
Suppose -4*p + 3*m + 62 = 8*m, -4*p + 56 = 2*m. What is the derivative of -42 + p*r + 16*r + 20 wrt r?
29
Let u(x) be the second derivative of -27/20*x**5 + 0*x**3 + 0*x**2 - 57*x - 5/4*x**4 + 0. What is the third derivative of u(m) wrt m?
-162
Let j(b) be the second derivative of b**7/840 - 3*b**4/2 - 7*b**3/3 + 17*b. Let s(d) be the second derivative of j(d). Differentiate s(q) wrt q.
3*q**2
Suppose 12*c - 15 = 7*c. Let q be (-5)/(-2) - c/2. What is the derivative of -3 + q + 3 + 5*u wrt u?
5
Let j(f) be the second derivative of f**7/2 - 197*f**3/6 + 7*f - 2. What is the second derivative of j(t) wrt t