- q + u*q**4. Find the second derivative of z(s) wrt s.
4
Let b(v) = 5*v**4 + 53*v**3 - 6*v**2 + 258*v + 3. Let q(i) = 2*i**4 + i**3 - 2*i**2 + 1. Let m(d) = -b(d) + 3*q(d). What is the second derivative of m(a) wrt a?
12*a**2 - 300*a
Let q(m) = m**4 - m**3 + 2*m**2 + m + 1. Let z(g) = 9*g**4 - 3*g**3 + 6*g**2 + 3*g + 60. Let p(f) = 6*q(f) - 2*z(f). Differentiate p(i) wrt i.
-48*i**3
Let j(g) be the second derivative of 1/5*g**5 + 0*g**3 + 0 - 17*g + 13/12*g**4 + 0*g**2. Find the third derivative of j(s) wrt s.
24
Suppose -2*x = 2*m - 26, 3*x - 7 = -m + 16. Suppose -3 = -m*b + 45. What is the third derivative of -b - 2*c**2 + 11*c**2 + 6 + 10*c**3 wrt c?
60
Let b(v) be the third derivative of 29*v**6/60 - 61*v**5/30 + 122*v**2. What is the third derivative of b(p) wrt p?
348
Differentiate -277*r - 1 - 3*r**3 + 538*r - 270*r wrt r.
-9*r**2 - 9
Suppose 4*c - 30 = -2*q, 2*c - 25 = -3*q - 0*c. Let r(d) = -4*d + 5. Let u be r(0). What is the third derivative of o**2 - 4*o**5 + 8*o**u - q*o**2 wrt o?
240*o**2
Let w(i) be the third derivative of 37*i**4/12 + 29*i**3/3 - 55*i**2. What is the derivative of w(u) wrt u?
74
Find the third derivative of -576*u**3 + 39*u**3 + 7*u - 159*u**3 - 10*u**2 - 134*u**3 - 70*u**3 wrt u.
-5400
Let o(u) be the third derivative of 49/60*u**5 + 0*u + 11/3*u**3 + 0 + 1/24*u**4 + 36*u**2. Find the second derivative of o(k) wrt k.
98
Suppose 2*t - 11 = 3*b + 3, 0 = t + 3*b - 7. What is the derivative of -17*f**3 + t*f**3 - 10 + 12*f**3 wrt f?
6*f**2
Let m(i) be the second derivative of i**6/30 - 167*i**5/20 + 677*i**3/6 - 9*i + 24. Find the second derivative of m(d) wrt d.
12*d**2 - 1002*d
Let x be 0 - (4 + -2 + -25). What is the derivative of -x + 11 - 45*n - 1 - 27 wrt n?
-45
Suppose 0 = 24*t - 19*t - 175. Find the third derivative of -6*h**4 + 9*h**2 - 5*h**4 + t*h**2 wrt h.
-264*h
Find the third derivative of 18*s**4 + 182*s**2 - 17*s**4 + 378*s**2 - 31*s**4 wrt s.
-720*s
Let f be 13/7 + (-11)/(-77). Let s(c) be the third derivative of 0*c**3 + 0*c + 7/24*c**4 - 4*c**f - 1/30*c**5 + 0. Find the second derivative of s(u) wrt u.
-4
Let q(j) = -20*j**3 + 35*j + 7. Let n = -22 + 24. Let k(u) = -7*u**3 + 12*u + 2. Let r(t) = n*q(t) - 7*k(t). Find the second derivative of r(a) wrt a.
54*a
Let g be -2 - -4 - (-10 - 1). Suppose -3 - g = -4*f. What is the second derivative of 6*a - a + 0*a**f - a**4 wrt a?
-12*a**2
Suppose 5*d - j = 24, -4*d - 5*j = -38 + 13. What is the third derivative of 0*g**4 - 6*g**4 + 23*g**2 + g**2 - d*g**2 wrt g?
-144*g
What is the first derivative of -60*f - 158*f - 62 - 178 + 59 wrt f?
-218
Let f(m) = -m**4 + m**2. Let d(s) = -105*s**4 - 126*s**2 + 315. Let q(r) = d(r) + 126*f(r). Differentiate q(w) with respect to w.
-924*w**3
Let q be 55*3/90*6. Find the second derivative of -8 + x**3 + x**3 + q*x - 6*x + 5 wrt x.
12*x
Let j(u) = 2*u**4 - 4*u**3 + 4*u**2 + 20. Let s(z) = z**3 - z**2 - 2. Let y(d) = 5*j(d) + 20*s(d). Find the first derivative of y(x) wrt x.
40*x**3
Let o(m) be the second derivative of 23*m**6/10 - m**4/6 - 107*m**3/6 - m**2 + 7*m - 6. Find the second derivative of o(d) wrt d.
828*d**2 - 4
What is the third derivative of -186*h**3 - 74*h + 22*h - 308*h**2 + 28*h + 24*h wrt h?
-1116
Let u(x) be the first derivative of 2*x**5 + 5 - 13 + 5*x**2 + 0*x**5. What is the second derivative of u(l) wrt l?
120*l**2
What is the third derivative of 11*c**3 + 8*c**4 - 13*c**3 - 7*c**2 + 8*c**2 + 18 wrt c?
192*c - 12
Let t(y) be the first derivative of y - 7. Let k(j) = 14*j - 12. Let d(n) = -k(n) - 3*t(n). Differentiate d(o) wrt o.
-14
Suppose 17*l + 3 = 20*l. What is the second derivative of -9*u - 8*u**2 + u**2 - l - 12*u**2 + 6*u**2 wrt u?
-26
Let i(d) = 10*d**5 - 2*d**4 + 32*d + 3. Let s(y) = 30*y**5 - 7*y**4 + 95*y + 8. Let f(m) = 8*i(m) - 3*s(m). What is the second derivative of f(j) wrt j?
-200*j**3 + 60*j**2
Let i(k) be the second derivative of 74*k**7/21 + 5*k**3/6 - k**2/2 - 29*k + 1. Find the second derivative of i(n) wrt n.
2960*n**3
Let r(m) = -16*m - 12. Let o(a) = -a + 1. Suppose 2*z - 49 + 13 = 5*w, -3*z + 27 = -3*w. Let h(x) = w*o(x) - r(x). What is the derivative of h(y) wrt y?
22
Let q = -1 + 1. Suppose q = 2*w - 12 - 0. What is the third derivative of 4*s**2 + 0*s**w - 5*s**6 - 3*s**2 + s**2 wrt s?
-600*s**3
Let q(n) = n**2 - 11*n - 20. Let o(l) = 3*l**2 - l + 3. Let r be o(2). Let p be q(r). Find the third derivative of -10*u**2 + 10*u**p + u - u + 0*u wrt u.
1200*u**3
Let d = 11 - 12. Let s be (2 - d) + -1 + 2. Find the second derivative of 71*k - 4*k**4 - s*k**4 + 0*k**4 - 64*k wrt k.
-96*k**2
Find the second derivative of -916*o + 8*o**3 + 941*o - 8*o**3 - 176*o**5 wrt o.
-3520*o**3
Let c = 23 - -7. Find the second derivative of 4*m**3 + 7*m - 27*m**3 - 9*m + c*m wrt m.
-138*m
Suppose 0 = -2*p - p. Suppose p*y = y - 3. Find the third derivative of 4*c**y + 0*c**2 - 10*c**3 + 0*c**2 - 7*c**2 wrt c.
-36
What is the second derivative of 95 + 133*v**5 + 89 - 14*v - 179 wrt v?
2660*v**3
Let c(y) be the first derivative of -86*y**7/7 + y**3/3 + 102*y - 152. Find the third derivative of c(b) wrt b.
-10320*b**3
Let x(a) = 91*a**2 + 9*a - 19. Let k(b) = 3 + 2*b + 23*b**2 - 9 - 2 + 3. Let s(t) = -9*k(t) + 2*x(t). What is the derivative of s(j) wrt j?
-50*j
Let h(p) = -23*p**4 - 90*p**2 + 1290*p - 9. Let y(a) = -6*a**4 - 22*a**2 + 322*a - 2. Let z(d) = 2*h(d) - 9*y(d). Find the second derivative of z(m) wrt m.
96*m**2 + 36
Let l(z) be the third derivative of -149*z**9/504 + z**5/10 + 13*z**4/12 + 230*z**2. What is the third derivative of l(q) wrt q?
-17880*q**3
Let s(q) be the first derivative of -217*q**4/4 - 205*q**2/2 + 156. Find the second derivative of s(m) wrt m.
-1302*m
Let v(u) = 934*u**2 + 6*u + 538. Let p(j) = -622*j**2 - 4*j - 359. Let a(l) = 7*p(l) + 5*v(l). What is the second derivative of a(o) wrt o?
632
Let x(p) be the first derivative of p**4 + 0*p**2 + 0*p - 12 + 8/3*p**3. Find the third derivative of x(k) wrt k.
24
Let q(l) be the first derivative of 13*l**5/5 + l**4/2 - l**2 + 42*l + 212. Find the second derivative of q(f) wrt f.
156*f**2 + 12*f
Let l(x) be the first derivative of 0*x**3 + 9*x**2 + 0*x**4 - 40 + 0*x**5 + 7/3*x**6 + 0*x. Find the second derivative of l(h) wrt h.
280*h**3
What is the third derivative of 156*h**4 - 60*h**2 - 3*h + 3*h - 38*h**4 + 286*h**2 wrt h?
2832*h
Suppose b + 33 - 35 = 0. Find the second derivative of -141*q**2 + 17*q + 79*q**b + 76*q**2 wrt q.
28
Let b = 4 - 1. Suppose k + 2*k = -f + 9, -3 = -b*k - 3*f. Find the second derivative of 0*r**4 + r**k + r - 2*r**4 - 5*r wrt r.
-12*r**2
Find the third derivative of 1 + 249*x**2 - 1 - 10694*x**3 + 10050*x**3 wrt x.
-3864
Find the first derivative of -43*q**3 - 27*q**3 - 74 - 125 - 8*q**3 wrt q.
-234*q**2
Suppose -54 = -4*m + 2*l, -3*m = -0*m - 5*l - 37. What is the second derivative of m*i**3 + 10*i**3 + 8*i - 24*i**3 - 20*i**4 wrt i?
-240*i**2
Let s(h) = -29*h**2 - 19*h. Let p(c) = -c. Let q = -63 + 62. Let w(k) = q*s(k) - 4*p(k). What is the second derivative of w(x) wrt x?
58
Let c(x) be the second derivative of x**6/30 + 3*x**5/5 + 286*x**2 + 980*x. Differentiate c(n) with respect to n.
4*n**3 + 36*n**2
Let h(n) = -142*n**4 + 13*n**2 - 294*n + 13. Let z(q) = -71*q**4 + 6*q**2 - 146*q + 6. Let c(i) = 6*h(i) - 13*z(i). What is the second derivative of c(u) wrt u?
852*u**2
Let n(s) = -119*s**2 - 121*s - 6. Let m(g) = 117*g**2 + 120*g + 4. Let o(h) = 3*m(h) + 2*n(h). Find the second derivative of o(p) wrt p.
226
Let j(b) be the third derivative of b**5/30 - b**4/2 - 59*b**3/3 - 32*b**2. What is the first derivative of j(r) wrt r?
4*r - 12
Let z = 15 + -23. Let h = z - -10. Find the second derivative of -4*l - 5*l - 4*l**5 + 4*l - h*l wrt l.
-80*l**3
Let f(k) be the third derivative of k**8/112 - k**7/35 + 101*k**5/60 - 2*k**2 + 13*k. Find the third derivative of f(q) wrt q.
180*q**2 - 144*q
Let m(j) be the second derivative of -1/3*j**4 + 0 - 17*j + 1/3*j**6 + 0*j**3 + 0*j**2 + 0*j**5. What is the third derivative of m(o) wrt o?
240*o
Let j(h) = -4*h**2 - 27*h - 104. Let u(y) = y**2 + 7*y + 26. Suppose -39*d + 38*d = -4. Let a(g) = d*j(g) + 18*u(g). Differentiate a(t) with respect to t.
4*t + 18
Suppose -4*c + 48 = -c. Suppose 0 = 5*i - c + 1. What is the derivative of 6 - l**2 + 6