
-574*j
Find the third derivative of -295*w**2 + 512*w**3 + 20*w - 481*w**3 - 20*w wrt w.
186
Let n be (-3 + (2 - -1))/4. Let k(j) be the first derivative of -j**5 - 5/2*j**2 + 0*j + 1 + 0*j**4 + n*j**3. Find the second derivative of k(g) wrt g.
-60*g**2
Suppose -17 = -4*j + 11. Suppose -2*m = -w + j, 5*m = 3*w + 2*w - 40. Find the second derivative of 11*v + 4*v - 6*v**4 - w*v wrt v.
-72*v**2
Suppose -11*r = 304 - 337. Let h(l) be the second derivative of 1/12*l**4 + 12*l + 0*l**2 - 1/4*l**5 + 0*l**r + 0. Find the third derivative of h(m) wrt m.
-30
Let i(u) be the first derivative of 158*u**3/3 - 179*u - 155. Differentiate i(h) with respect to h.
316*h
Let k = 1 + -2. Let z be (k + 8)*(-4 - -5). Differentiate -z + 6*f**4 + 0 + 4*f**4 - 3 with respect to f.
40*f**3
Let q(a) = 137*a**3 - 35*a - 4. Let b(s) = -272*s**3 + 70*s + 7. Let o(x) = 6*b(x) + 11*q(x). Find the second derivative of o(v) wrt v.
-750*v
Let b(d) = 16*d**3 - 27*d**2. Let a(y) = -8*y**3 + 13*y**2. Suppose 4*f - 2*f = -8. Let z(m) = f*b(m) - 9*a(m). What is the third derivative of z(o) wrt o?
48
Let b(x) be the third derivative of -18*x**2 + 0*x**4 + 0 - 8/15*x**5 + 0*x - x**3. Find the first derivative of b(f) wrt f.
-64*f
Let q(d) be the third derivative of -d**7/210 - 77*d**5/60 - 11*d**4/3 - 185*d**2. Find the second derivative of q(b) wrt b.
-12*b**2 - 154
Let s(g) = 2*g**3 - 7*g**2 - 6*g + 8. Let v(a) = -3*a**3 + 6*a**2 + 4*a - 9. Let c(u) = -3*s(u) - 4*v(u). Find the second derivative of c(k) wrt k.
36*k - 6
Let m(j) be the first derivative of 7*j**2/2 + 14*j - 78. Differentiate m(o) wrt o.
7
Let g = 81 + -82. Let t(y) = y**4 - y**2. Let p(s) = 13*s**4 - 3*s**2 - 13. Let k(x) = g*p(x) + 3*t(x). What is the derivative of k(m) wrt m?
-40*m**3
Let w(u) be the third derivative of -14*u**4/3 - 200*u**3/3 - 361*u**2. Differentiate w(h) wrt h.
-112
Suppose j + 30 = 35. Suppose 4*a + 0*a = -2*i - 2, -3*i + 3*a + 15 = 0. What is the second derivative of i*f**j - 3*f**5 + f + 2*f**5 + 10*f wrt f?
40*f**3
What is the second derivative of 174*v**5 + v**3 - v**3 - 7 + 20 - 4*v - 14 wrt v?
3480*v**3
Let j(b) be the second derivative of 0*b**2 + 0 - 14*b - 1/2*b**4 + 10/3*b**3. What is the second derivative of j(d) wrt d?
-12
Let m(a) = 3*a**2 - 1. Let d be m(1). Find the third derivative of 8*k**4 + 3*k - 3*k - 33*k**4 - 10*k**d wrt k.
-600*k
Differentiate 27 - 45*v - 103*v + 303 wrt v.
-148
Let o(n) = 15*n**6 + 11*n**5 + 274*n**2 + 11. Let w(c) = 3*c**6 + 2*c**5 + 55*c**2 + 2. Let g(x) = -2*o(x) + 11*w(x). Find the third derivative of g(y) wrt y.
360*y**3
Let t = -10 - -31. Suppose -4*x + 15 = -t. What is the third derivative of -9*q**2 - x*q**3 + 5*q + 3*q**3 - 5*q wrt q?
-36
Suppose 7*p + 5*p = 48. Find the second derivative of -119*g + 113*g + 12*g**4 + 4*g**p wrt g.
192*g**2
Let s(f) be the first derivative of -95*f**3/3 + 69*f**2 - 142. Find the second derivative of s(a) wrt a.
-190
Let b(z) be the first derivative of 48*z**5/5 - z**4/4 + 37*z + 63. What is the derivative of b(r) wrt r?
192*r**3 - 3*r**2
Suppose 5*h + 4*y - 11 = 0, -4 = -y - 5. Let i be 12*(12/16)/3. Find the first derivative of b**i - 62 - b**h + 60 - 3*b**4 wrt b.
-12*b**3
Let x(t) = -73*t + 292. Let n be x(4). Let i(s) be the first derivative of 4 + 4*s + 0*s**3 + 8/5*s**5 + 0*s**2 + n*s**4. Differentiate i(o) wrt o.
32*o**3
Suppose 0 = -82*h + 96*h - 42. Let v(a) be the second derivative of 0 - 2/3*a**h + 1/6*a**4 - 2*a + 0*a**2. What is the second derivative of v(t) wrt t?
4
Suppose 3*u = 2*y + 5, y = -4*u + 5*y + 4. What is the second derivative of 14*b**2 - 9*b - 14*b**2 + 7*b**u + b**3 wrt b?
48*b
What is the second derivative of -i + 1 - 55*i**5 - 2*i + 2*i - 120*i**5 + 2 wrt i?
-3500*i**3
Let k(i) = 9*i**3 - 41*i**2 - 30*i + 18. Let d(q) = -q**3 + q - 3. Let t(j) = -6*d(j) - k(j). Find the second derivative of t(x) wrt x.
-18*x + 82
Suppose 8 = 5*u - 7. Suppose -7 + 4 = -u*n. Differentiate -n + 3*m**4 - 1 + 4 + 0*m**4 wrt m.
12*m**3
Let k be 14/4*4/7. Suppose 3*m + 4*h = -0*h + 11, m - 7 = 2*h. Find the third derivative of 4*i**4 + m*i**2 + i**2 + i**k wrt i.
96*i
Find the second derivative of 24*o**2 + 2*o - 71*o**3 - 42 - 11*o**2 - 14*o**2 wrt o.
-426*o - 2
Find the third derivative of -w - 51*w**2 - w**4 + 24*w**5 + 54*w**2 + 8*w**5 wrt w.
1920*w**2 - 24*w
Let w(p) = -25*p**4 - 9*p**2 - 12*p + 7. Let u(l) = -2*l**2 - l. Let j(d) = 4*u(d) - w(d). What is the second derivative of j(n) wrt n?
300*n**2 + 2
Let o = 143 + 99. Find the second derivative of o*d**3 - 242*d**3 - 11*d**4 + 9*d wrt d.
-132*d**2
Let l(d) = -3*d**3 - d**2 + d. Let k(t) = -476*t**3 - 541*t**2 - 2*t. Let v(h) = k(h) + 2*l(h). What is the third derivative of v(o) wrt o?
-2892
What is the first derivative of -65*p + 206 - 394 + 148 wrt p?
-65
Differentiate 75642 + k + 446*k**3 - 75354 - k**4 - k wrt k.
-4*k**3 + 1338*k**2
Let t = 10 + -11. Let z be (t/(-4))/((-1)/(-52)). What is the first derivative of 5*d**4 + z - 3 - 11*d**4 wrt d?
-24*d**3
Suppose 5*m - 2*o - 95 = 0, 0 = 3*o + 7 + 8. What is the second derivative of 14*c**2 - 24*c**2 + m*c + 10*c**2 - 24*c**5 wrt c?
-480*c**3
Let x(k) be the first derivative of -409*k**4/4 - 71*k**3 + k + 69. Find the third derivative of x(d) wrt d.
-2454
Let w(p) be the second derivative of 4*p**6/3 - p**5/5 + p**3/3 - 28*p**2 + 2*p - 57. Find the second derivative of w(y) wrt y.
480*y**2 - 24*y
Find the second derivative of 10*v - 287 + 11*v**2 + 281 + 3*v**5 + 3*v + 5*v wrt v.
60*v**3 + 22
Let g = -176 - -165. Let w(x) = 28*x**3 + 3*x**2 + 6. Let d(z) = -9*z**3 - z**2 - 2. Let h(b) = g*d(b) - 4*w(b). Differentiate h(p) with respect to p.
-39*p**2 - 2*p
Let n be 15 + 0 + 3 + -5. Suppose 3 = -n*r + 14*r. What is the third derivative of 4*q**2 - 10*q**2 + 10*q**r + 13*q**2 wrt q?
60
Let z(l) be the third derivative of -9*l**2 + 11/120*l**6 + 0*l**3 + 0*l**4 + 0 + 0*l + 3/20*l**5. Find the third derivative of z(v) wrt v.
66
Let x(l) = l**4 + l**2 + 1. Let j(a) = 21*a**4 + 6*a**2 + 283*a + 6. Let g(y) = j(y) - 6*x(y). What is the second derivative of g(v) wrt v?
180*v**2
Suppose 3*x = 2*x - 0*x. Differentiate 4*y**3 - 2*y + x*y**3 + 48 - 8 with respect to y.
12*y**2 - 2
Let r = 14 + -6. Let u(v) = -v**3 + 7*v**2 + 9*v - 3. Let s be u(r). What is the second derivative of 4 + s*m**4 - 1 - 3 - 4*m wrt m?
60*m**2
Let u(i) = -i. Let t be u(-11). Suppose 0 = t*b - 8*b - 9. Find the second derivative of -3*o + 3*o**3 + 7*o + 0*o + b*o**3 wrt o.
36*o
What is the first derivative of o**2 - 231*o**4 - 106 + 0*o**2 - 2*o**2 + o**2 wrt o?
-924*o**3
Let j(p) = 36*p**2 - 43*p + 14. Let u(l) = 42*l - 129 - 35*l**2 + 57 + 60. Let d(v) = 5*j(v) + 6*u(v). What is the second derivative of d(f) wrt f?
-60
Let d(k) be the second derivative of k**8/672 + k**5/12 - k**4/4 - 7*k. Let c(o) be the third derivative of d(o). What is the derivative of c(t) wrt t?
30*t**2
Suppose 3*t - 5*s - 145 = 64, 4*t - 264 = 3*s. What is the second derivative of 3*c**4 - 3*c**4 + 19*c**5 + t*c - 67*c wrt c?
380*c**3
What is the second derivative of 181*m - 538*m + 70*m**4 + 264*m**4 - 55*m**4 + 9*m**4 wrt m?
3456*m**2
Suppose 44*h + 4 = 46*h. What is the second derivative of 7*o**h + 21*o + o - 6*o wrt o?
14
Find the first derivative of 10 + 18 + 16 + 37*h - 65 wrt h.
37
Let z(i) be the first derivative of -i**6/18 + i**5/24 - 25*i**3/3 - 20. Let v(b) be the third derivative of z(b). Find the second derivative of v(j) wrt j.
-40
What is the derivative of -5 + 3 - 52*a - 2 - 8 wrt a?
-52
Let t(i) = 130*i**3 - 8*i + 179. Let p(q) = -520*q**3 + 30*q - 715. Let k(h) = 4*p(h) + 15*t(h). Find the first derivative of k(v) wrt v.
-390*v**2
Let u(y) be the first derivative of 15*y**3 - y**2 + 122*y + 25. What is the derivative of u(x) wrt x?
90*x - 2
Suppose 85 = 5*k + 20. Suppose 2*q - 5*u = k, 0 = -q - u + 3 - 0. Find the first derivative of -i + i - q + 6 + i wrt i.
1
Let m(j) = -16*j - 488*j**2 + 13*j**3 + 488*j**2 + 4. Let y(d) = -27*d**3 + 33*d - 7. Let l(q) = -7*m(q) - 4*y(q). What is the second derivative of l(p) wrt p?
102*p
Let n(m) = -2*m + 12. Let k be n(5). Let j be (-1 - 4)*(-2)/k. What is the second derivative of -6*t**j - 3*t**5 - 30*t + 27*t wrt t?
-180*t**3
Let c = 20 + -17. What is the second derivative of -3 + c + 16*j - 21