- 3*h, -3 = -5*h + 2. What is the third derivative of -5*j**t - 5*j**5 - 13*j**6 + 10*j**5 - j**2 wrt j?
-1560*j**3
Let w = -2959 + 5931/2. Let v(i) be the first derivative of -5 + 0*i**4 - i**6 + 0*i + 0*i**3 - w*i**2 + 0*i**5. What is the second derivative of v(n) wrt n?
-120*n**3
Suppose 3*b - 5*m = 2*b - 5, 3*b + 5*m = 5. Find the third derivative of 48*u**2 - 4*u**6 + 0 + b wrt u.
-480*u**3
Let b(y) be the first derivative of -53*y**7/7 - y**4/2 + 25*y**3 - y**2 + 103. What is the third derivative of b(k) wrt k?
-6360*k**3 - 12
Let m(a) = a + 5. Let b be m(-2). What is the third derivative of k**2 - 8*k**3 + 15*k**b - 7*k**3 - 8*k**5 wrt k?
-480*k**2
Suppose 0*g - 4*g = 56. Let z = -12 - g. Find the third derivative of 130*t**6 - 128*t**6 - 2*t**2 - 9*t**z wrt t.
240*t**3
Let a(b) be the first derivative of 8 - 8*b + 0*b**3 + 0*b**2 - 3/4*b**4. Find the first derivative of a(h) wrt h.
-9*h**2
Let v(w) = -w**3 - 2*w. Let b(n) = -4*n**3 - 30*n**2 - 13*n + 17. Let s(k) = -b(k) + 6*v(k). Find the second derivative of s(x) wrt x.
-12*x + 60
Let w(y) be the second derivative of 31*y**7/42 - y**4/12 + 13*y**2/2 + 65*y. Find the third derivative of w(o) wrt o.
1860*o**2
Let j(b) be the third derivative of 0*b**7 + 0*b**3 + 0*b**6 + 0*b + 15*b**2 + 1/48*b**8 + 0*b**4 + 0 - 9/20*b**5. Find the third derivative of j(r) wrt r.
420*r**2
Suppose 0 = -13*q + 8*q + 130. Let m = q + -22. What is the second derivative of -10*p + 12*p**4 - 5*p**4 + 7*p**m - 3*p**4 wrt p?
132*p**2
Let x(b) be the third derivative of 29*b**4/6 - 13*b**3/3 + 18*b**2. Find the first derivative of x(m) wrt m.
116
Let t(i) = -558*i**4 + 4*i**3 - 4*i**2 - 526. Let n(f) = 1115*f**4 - 9*f**3 + 9*f**2 + 1052. Let p(d) = 4*n(d) + 9*t(d). What is the derivative of p(c) wrt c?
-2248*c**3
Find the first derivative of 184*b**3 - 123 - 354*b**3 - 2*b**4 + 8*b**4 + 181*b**3 wrt b.
24*b**3 + 33*b**2
Let j = -47 + 53. Let i(b) be the third derivative of 0*b**5 + 0*b + 0*b**4 + b**3 - 1/20*b**j + 0 + 5*b**2. What is the first derivative of i(m) wrt m?
-18*m**2
Let t(r) = -296*r**3 + 121*r**2 + 6*r. Let o(f) = -297*f**3 + 124*f**2 + 5*f. Let m(q) = -6*o(q) + 5*t(q). What is the third derivative of m(g) wrt g?
1812
Let r be (-2)/6 - (-20)/6. Find the second derivative of -b**5 + r*b**5 - 13*b - 3*b**5 + 9*b**5 wrt b.
160*b**3
Let b(f) be the third derivative of 137*f**6/120 - f**5/4 - f**3/3 - 218*f**2. Find the third derivative of b(c) wrt c.
822
Let c be 3 + 8/(4/(-2)). Let r be (45/(-18))/(c/2). Differentiate 11*h - r + 1 - 4 with respect to h.
11
Let g(k) = 135*k**3 + 2*k**2 + 12. Let w(l) = 67*l**3 + l**2 + 6. Let s(f) = -3*g(f) + 5*w(f). What is the third derivative of s(x) wrt x?
-420
Let r(u) be the third derivative of 0 + 38*u**2 + 0*u**4 + 7/40*u**6 - 1/10*u**5 + 0*u**3 + 0*u. Find the third derivative of r(o) wrt o.
126
Let s(v) be the second derivative of 5*v**7/42 + 7*v**6/30 - 2*v**4/3 + 3*v**2/2 + 64*v - 1. Find the third derivative of s(q) wrt q.
300*q**2 + 168*q
Let l(r) = 2*r**2 - r + 2. Let g(t) = 24*t**3 - 28*t**2 + 92*t - 32. Let b(i) = g(i) + 16*l(i). Find the second derivative of b(o) wrt o.
144*o + 8
Suppose -2*r = r - 6. Let t be r*(-4)/(8/(-7)). What is the second derivative of -o**4 + 0*o + t*o**4 + 0*o + o wrt o?
72*o**2
Let c(z) = 11*z**3 + 25. Let m = 32 + -28. Let l(y) = 5*y**3 + 13. Let v(x) = m*c(x) - 9*l(x). Differentiate v(w) with respect to w.
-3*w**2
Let k(s) = 8*s**3 + 316*s - 843. Let h(x) = 3*x**3 + 158*x - 422. Let c(m) = -5*h(m) + 2*k(m). What is the first derivative of c(t) wrt t?
3*t**2 - 158
What is the derivative of 116*o + 94 + 67 + 34 + 27 wrt o?
116
Suppose 6*q = 3*q + 9. Let o(c) be the first derivative of -q*c**2 + 1 + 0*c - 5/3*c**3. What is the second derivative of o(a) wrt a?
-10
Let u(x) = -x**3 - 28*x**2 + 46. Let v be u(-28). What is the second derivative of v*d + 71*d**2 + 2 - 2 - 38*d**2 wrt d?
66
Suppose -3*z + 24 + 23 = 2*d, 100 = 5*z - d. What is the derivative of z + 13*u - 10*u - 1 wrt u?
3
Suppose 40 = -984*s + 992*s. Let z(p) be the first derivative of -7/3*p**3 + 2*p**s - 8 + 0*p + 0*p**2 + 0*p**4. Find the third derivative of z(c) wrt c.
240*c
Let y = 1156/15 + -77. Let w(i) be the third derivative of -y*i**5 - 5/6*i**3 - 3*i**2 + 0*i**4 + 0 + 0*i. What is the derivative of w(g) wrt g?
-8*g
Suppose l + 5*f - 2*f - 5 = 0, 20 = 4*l - 5*f. Find the second derivative of -j**4 - 22*j**l - 78*j + j**4 + 88*j wrt j.
-440*j**3
Let j(f) = 41*f**3 + 14*f - 6. Let k(x) = -82*x**3 + 2*x**2 - 27*x + 14. Let y(g) = 5*j(g) + 3*k(g). Find the second derivative of y(s) wrt s.
-246*s + 12
What is the second derivative of z - 566*z**2 - 63 + 907*z**2 + z + 532*z**2 - 1 wrt z?
1746
Let t(o) be the first derivative of -7*o**3 - 59*o - 208. Differentiate t(a) wrt a.
-42*a
Let j(u) = 38*u**5 - 19*u + 8. Let o(c) = -7*c**5 - c + 7*c + c**5 - 3 - 7*c**5. Let x(a) = 3*j(a) + 8*o(a). What is the second derivative of x(k) wrt k?
200*k**3
Suppose -c - 4*c + 25 = 5*y, -7 = y - 5*c. Find the second derivative of -7*o**y + 12*o**3 - 4*o**4 - 5*o**3 + 15*o wrt o.
-48*o**2
Let v be 6 - 2 - (5 + -5). Let o be (9/6)/(3/v). Find the third derivative of -3*x**2 - o*x**6 + 5*x**2 + x**2 wrt x.
-240*x**3
Let k(n) = n**3 + 6*n**2 - 2*n - 4. Let f be k(-6). Let b be (9/(-6))/((-6)/f). What is the second derivative of 2*m**2 + 7*m**b + 0*m**2 + 9*m - 3*m**2 wrt m?
12
Let v(d) = -4*d**2. Let l(z) = -70*z**2 - 15*z - 25. Let c(w) = l(w) - 2*v(w). What is the second derivative of c(o) wrt o?
-124
Let i = -44 - -736. Let b be 2/(-15) - i/(-15). Find the second derivative of 4*x - b*x**2 + 46*x**2 + 2*x**3 wrt x.
12*x
What is the third derivative of 2*a**4 + 12 + a + 138*a**3 + 337*a**2 + 13 - 25 - 89*a**2 wrt a?
48*a + 828
Let x(l) = 10*l**4 - 8*l**3 + 180*l**2 + 8*l - 1341. Let i(u) = -4*u**4 + 3*u**3 - 60*u**2 - 3*u + 447. Let o(g) = -8*i(g) - 3*x(g). Differentiate o(q) wrt q.
8*q**3 - 120*q
Let m be 1 + -5 + 0 + -1. Let c = m + 7. What is the second derivative of 3*s**c - 2*s**2 - s**2 + s + 4*s**3 wrt s?
24*s
Suppose -3*c = -4*c + 1, 4*j - 19 = 5*c. Differentiate -9*w**2 + 12 + 4 + 12 - j wrt w.
-18*w
Let a(h) = h**4 + h**2 - 2*h - 1. Let m(u) = -51*u**4 + 26*u**2 + 6*u + 3. Let t(z) = -3*a(z) - m(z). What is the third derivative of t(q) wrt q?
1152*q
Let k(o) be the first derivative of 63*o**6 + 4*o**3/3 + 12*o + 314. Find the third derivative of k(y) wrt y.
22680*y**2
Find the first derivative of 462 + 398 - 776 - 173*m**4 wrt m.
-692*m**3
Let o(n) be the second derivative of 217*n**4/12 + n**3 - 5*n**2/2 + 300*n. Find the second derivative of o(w) wrt w.
434
Let o = 4 - -29. Let v = o - 30. Differentiate -3 + 4*j**3 - 4*j**3 - j**v wrt j.
-3*j**2
Let u(o) be the first derivative of 2*o**7/7 - 33*o**4/4 + 46*o**3/3 + 172. What is the third derivative of u(l) wrt l?
240*l**3 - 198
Let c(s) be the second derivative of -451*s**4/12 - 113*s**2 + 715*s. Differentiate c(p) wrt p.
-902*p
Let c(m) = -36*m**3 + 18*m**2 - 19*m + 4. Let a(x) = 72*x**3 - 34*x**2 + 36*x - 7. Let u(i) = -4*a(i) - 7*c(i). Find the third derivative of u(b) wrt b.
-216
Suppose 6 = -5*o + 16. Find the third derivative of -1 - 1 + 8*y**o + 2 - 4*y**5 wrt y.
-240*y**2
Let b be 4*6*14/28. Let n(t) = -21*t**3 + 20*t + 5. Let l(d) = -52*d**3 + 50*d + 12. Let h(z) = b*n(z) - 5*l(z). Find the second derivative of h(c) wrt c.
48*c
Let p(f) = -f + 10. Let i be p(9). Let h = 3 + i. Differentiate 0*v + 0*v + h - 5*v**3 - 2 with respect to v.
-15*v**2
Let a(x) be the third derivative of -2*x**8/21 - 37*x**4/6 + 53*x**2 - 2. What is the second derivative of a(r) wrt r?
-640*r**3
Let a(m) = -m + 0 - 5 + 8 - 4 + m**2. Let o(t) = 3*t**3 - 8*t**2 - 2*t - 2. Let z(h) = 2*a(h) - o(h). Find the third derivative of z(j) wrt j.
-18
Let y(b) = 114*b**2 - 42*b - 15. Let p(m) = 2*m**2 - m - 1. Let a(t) = 15*p(t) - y(t). What is the second derivative of a(l) wrt l?
-168
Let p(z) be the first derivative of 0*z**3 + 16*z**2 + 0*z + 15/2*z**4 - 22. Find the second derivative of p(x) wrt x.
180*x
Let r(l) be the second derivative of 0*l**4 - 3*l**3 - 1/30*l**6 + 0*l**5 + 0*l**2 + 0 - 15*l. Find the second derivative of r(q) wrt q.
-12*q**2
Let c(x) = -145*x**3 + 11*x**2 + 57*x - 3. Let w(u) = -48*u**3 + 4*u**2 + 20*u - 1. Let m