 second derivative of -3862*c**2 - 4*c**3 + 1968*c**2 + 133*c**4 + 1895*c**2 + 2119*c wrt c?
1596*c**2 - 24*c + 2
Let u(y) be the second derivative of -87*y**5/4 - 7*y**4/6 + 45*y**2/2 + 1942*y. What is the third derivative of u(d) wrt d?
-2610
Let f be 40 + (-3 - (-2 + (-4 - -1))). Differentiate 113*w + 18 + f - 8 - 86*w wrt w.
27
Let j(b) be the third derivative of 50*b**8/21 - 607*b**4/12 - 869*b**2. What is the second derivative of j(n) wrt n?
16000*n**3
Let s(o) = -5772*o**3 - 48*o**2 - 16*o - 7167. Let g(d) = -1924*d**3 - 18*d**2 - 6*d - 2389. Let y(c) = 8*g(c) - 3*s(c). Differentiate y(m) wrt m.
5772*m**2
Let o(l) = -l + 63. Let q be o(-14). Differentiate -46095*m + 62 + 46095*m + q - 140*m**3 wrt m.
-420*m**2
Let k(t) = 27*t - 2. Let r be k(1). Suppose r - 19 = 2*j. Find the second derivative of 9*q + 10*q**4 + 13*q**5 - 13*q**4 + j*q**4 wrt q.
260*q**3
Find the second derivative of -73*x**4 - 7081*x + 87*x**4 + 11*x**2 + 107*x**4 - 281*x**4 wrt x.
-1920*x**2 + 22
Suppose -8 = -4*r, -2*l + 4*r = -0*r - 30. Let d = l - 14. Find the third derivative of -13*j**2 + 17*j**d - 3*j**4 + 3*j**4 - 16*j**5 wrt j.
60*j**2
Let q(v) = v**3 + 1 - 2 + 17*v**2 + 4 + 0*v**3. Let l be q(-17). Find the third derivative of 10*n**3 + 0*n**l - 31*n**3 - 18*n**2 wrt n.
-126
Let v(s) be the third derivative of -47*s**8/168 + s**5/60 + 29*s**4/12 - 11*s**3/6 - 1044*s**2 - s. Find the second derivative of v(y) wrt y.
-1880*y**3 + 2
Suppose -225 = 10*h - 5*h. Let l = 47 + h. Find the third derivative of 56*t**5 - 62*t**5 + t**2 + l*t**2 wrt t.
-360*t**2
Differentiate 15 + 181*y**2 + 0 + 28 + 4 + 70 - 2*y wrt y.
362*y - 2
Find the second derivative of -x**5 - 1 - 6*x**4 - 70*x**2 + 4*x**4 + 54*x**2 + 1657*x wrt x.
-20*x**3 - 24*x**2 - 32
Let r = -4513/2 - -2264. Let x(v) be the first derivative of 0*v + r*v**2 - 1/3*v**3 - 6. Find the second derivative of x(b) wrt b.
-2
Suppose 3*i - 2*h + 49 = 0, 0 = i + 2*h + 17 + 10. Let r = 21 + i. Find the third derivative of -4*s**5 - 13 + 34 + 25*s**r - 21 wrt s.
-240*s**2
Find the second derivative of -514*n**2 + 64*n - 21 - 92*n + 21 - 280*n wrt n.
-1028
Let u(m) = 16*m**2 + 1088*m + 842. Let c(j) = -13*j**2 - 1095*j - 842. Let o(z) = -5*c(z) - 4*u(z). Find the first derivative of o(w) wrt w.
2*w + 1123
Suppose 2*l - 6*l + 16 = 4*j, -6 = -3*l + 3*j. Differentiate 22*t**3 - 82 + t**4 + t - 11*t**l - 11*t**3 + 71*t**4 with respect to t.
288*t**3 + 1
Suppose -3*x + 462 = 4*x. Let t = x - 22. Find the third derivative of -52*p**5 + 10*p**2 + t*p**5 + 28*p**5 wrt p.
1200*p**2
Let r(q) = q**3 - 19*q**2 + 26*q - 41. Let g be r(18). What is the derivative of 219*u**3 - 105*u**3 - 108*u**3 - g wrt u?
18*u**2
Let c = 50 - 50. Suppose 23*p - 19*p - 24 = c. Find the first derivative of -2 - 1 + 5 + p*o**2 - 17*o**2 wrt o.
-22*o
Let d = 285 - 283. Differentiate 1616 + 7*k**3 - 4*k + d*k - 1538 + k**3 with respect to k.
24*k**2 - 2
Let s(z) = 93*z + 190. Suppose 17 + 3 = -2*o + 2*x, 3*o + 24 = -3*x. Let u(b) = 47*b + 95. Let y(t) = o*u(t) + 4*s(t). Differentiate y(f) with respect to f.
-51
Let d = 6971/15 - 1378/3. Let k(b) be the first derivative of 11 - 10*b + d*b**5 + 0*b**2 + 0*b**4 + 0*b**3. What is the first derivative of k(c) wrt c?
108*c**3
Let c(q) be the second derivative of 61*q**5/20 + q**3/6 - 1865*q**2 - q + 240. What is the derivative of c(i) wrt i?
183*i**2 + 1
Let d(g) = -888*g - 4. Let m be d(4). Let r = -2540 - m. What is the second derivative of 19*u**2 - r - 13*u + 1016 - 7*u wrt u?
38
Suppose -76*o = -99*o + 690. Differentiate 58*w + 322 + o*w - 93 wrt w.
88
Let j(x) = -3445*x**2 + 541*x + 14. Let h(o) = -1722*o**2 + 270*o + 6. Let d(m) = 9*h(m) - 4*j(m). Find the second derivative of d(p) wrt p.
-3436
Let n(r) = -46*r**3 - 150. Let i(u) = 5*u**3 - 3*u**3 + 0*u**3. Let s(d) = 4*i(d) - n(d). Differentiate s(a) with respect to a.
162*a**2
Let b(r) be the third derivative of r**2 + 0*r**3 + 0 + 1/8*r**4 + 2*r - 1/105*r**7 - 13/60*r**6 + 1/15*r**5. What is the third derivative of b(k) wrt k?
-48*k - 156
What is the third derivative of -12218*l**3 + 3612*l**2 + 4018*l**2 - 1662*l**2 + 1682*l**2 wrt l?
-73308
What is the third derivative of -360*o**3 - 32 + 10*o + 4*o + 3*o - 4*o**2 - 826*o**3 + 6 wrt o?
-7116
Suppose 35*w = 37*w - 62. What is the second derivative of -30*m**3 + 350*m - w*m**3 - 483*m wrt m?
-366*m
Let x(k) = k**2. Let r be (1/(-3))/(13/390*10). Let b(d) = 35*d**3 - 3*d**2 + 165*d. Let c(z) = r*b(z) - x(z). What is the second derivative of c(t) wrt t?
-210*t + 4
Let z(v) be the third derivative of 0 - 7/60*v**5 + 0*v - 6*v**2 + 1/8*v**4 + 8/3*v**3. What is the first derivative of z(i) wrt i?
-14*i + 3
Let j(i) = 3*i - 28. Let l be (-6 - -1)*-2 + 1. Let f be j(l). Find the third derivative of 6*g**5 - 17*g**5 - 11*g**2 + 14*g**f wrt g.
180*g**2
Let d(t) be the second derivative of 8*t**2 + 9*t + 1/2*t**4 + 0 + 11/3*t**3. Let s(i) be the first derivative of d(i). What is the derivative of s(k) wrt k?
12
Let m(j) be the second derivative of j**6/6 + 391*j**4/12 + 553*j**3/3 - j - 2091. Find the second derivative of m(y) wrt y.
60*y**2 + 782
Suppose 610*b - 9761 = 7319. Let s(w) be the first derivative of -b + 2/3*w**3 + 0*w**2 + 18*w. Differentiate s(u) with respect to u.
4*u
What is the third derivative of 484*q**2 + 18593*q**6 - 17930*q**6 + 1238*q**2 + q wrt q?
79560*q**3
Let u(m) be the third derivative of -71*m**7/210 + m**4/6 + 242*m**3/3 - 830*m**2. What is the derivative of u(l) wrt l?
-284*l**3 + 4
Let s(u) = -u**3 - u**2 - u + 1. Let w(a) = 68 - 30*a**3 - 5*a + a + 7*a**2 + 7*a - 2*a**2. Let z(y) = -5*s(y) - w(y). What is the derivative of z(i) wrt i?
105*i**2 + 2
Let p(t) = -t - 1. Let b(g) = -13641*g**2 - 3*g + 19. Let c(m) = b(m) - 5*p(m). Find the second derivative of c(r) wrt r.
-27282
Suppose 2*o = 2*t - 12, -2*t - 3*o = -0*o - 2. Suppose -43*m + 142*m - 966 = -62*m. Differentiate -m - 24 + 110*p**t - 151*p**4 wrt p.
-164*p**3
Let a = -23164 + 23168. Let m(h) be the first derivative of 0*h**3 - 17*h**2 - 17/2*h**a + 0*h + 39. What is the second derivative of m(s) wrt s?
-204*s
Differentiate 5505 - 73042*b**2 - 11*b**3 + 14*b**4 + 73038*b**2 - 11*b**4 with respect to b.
12*b**3 - 33*b**2 - 8*b
Let h(z) be the third derivative of -791*z**4/8 - 1429*z**3/6 - 1294*z**2. What is the first derivative of h(m) wrt m?
-2373
Suppose 363*i = 236*i. Let m(z) be the first derivative of -29/5*z**5 + 0*z**2 - 18 + i*z**4 + 0*z + 25/3*z**3. Find the third derivative of m(q) wrt q.
-696*q
Suppose -2*j + 6 = 2*f - 3*j, j = -2. What is the third derivative of 18062*t**4 - 134*t**2 + 0 + 0 - 18066*t**4 - f*t**3 wrt t?
-96*t - 12
What is the second derivative of -10*f + 132 - 76 + 171*f**3 - 1610*f**3 wrt f?
-8634*f
Let y(m) be the second derivative of 3*m**6/10 + m**5/10 + m**4/4 + 3*m**3/2 - 4*m**2 + 2*m - 175. Find the second derivative of y(w) wrt w.
108*w**2 + 12*w + 6
What is the second derivative of -46*w**2 + 686*w + 146*w**2 + 27*w**2 wrt w?
254
Let d be (70/(-4) + 3)*(-1 + -1). Differentiate -75 - d*t**2 - 62 - 23 + 34 wrt t.
-58*t
Suppose 2*r - r - 9 = 0. Suppose p - 12 = -r. Differentiate 4 + 8*j**2 + p - 13 - 2*j**2 wrt j.
12*j
Let y(k) = -k**2 - 10*k - 18. Let b be y(-7). What is the first derivative of 69 - 127*x**3 + 64*x**b + 62*x**3 wrt x?
-3*x**2
What is the first derivative of 2742 + 817*h**2 + 268*h**2 + 45*h**2 wrt h?
2260*h
Suppose 0 = 3*m - 6*m. Suppose -2*n - 2*a + 2 + 16 = m, -3*a = -4*n + 71. Differentiate -5*g**3 - n*g + 3*g**3 - 5 + 14*g wrt g.
-6*g**2
Let p(s) be the third derivative of -s**8/168 + 2251*s**6/30 + 1939*s**4/8 - 4*s**2 - 253*s + 4. What is the second derivative of p(l) wrt l?
-40*l**3 + 54024*l
Let r(j) = 5*j + j + 2*j + 4*j - 19. Let c be r(4). What is the third derivative of -6225*w + c*w**5 - 5*w**2 + 6225*w wrt w?
1740*w**2
Let l(n) = 27 - 11 - 159 + 124*n - 72. Let t(m) = 3*m - 2. Let v(h) = -l(h) - 6*t(h). Differentiate v(j) wrt j.
-142
Let v(m) be the second derivative of -321*m**4/4 - m**3/3 - 314*m**2 + 639*m. Find the second derivative of v(b) wrt b.
-1926
Let o = -839 - -841. Let n(j) = j. Let p(k) = k + 16. Let x(m) = -6*n(m) - 2*p(m). Let u(f) = -8*f - 34. Let z(r) = o*u(r) - 3*x(r). Differentiate z(y) wrt y.
8
Let t(m) be the third derivative of 0