t(n) wrt n.
322
Suppose -11*r + 7*r + 40 = 0. What is the derivative of -12*i - 8*i - 5 + r*i wrt i?
-10
What is the third derivative of -480*b**3 - 4*b**2 + 480*b**3 + 88*b**2 - 7*b**4 wrt b?
-168*b
Let c(z) be the third derivative of 151*z**8/168 + 2*z**5/15 + z**4/24 + 28*z**2 + 3. What is the third derivative of c(t) wrt t?
18120*t**2
Let j(i) be the third derivative of 7/60*i**5 + 0*i + 0 + 0*i**3 + 0*i**4 + 7/120*i**6 - 2*i**2. What is the third derivative of j(c) wrt c?
42
Let y(w) be the first derivative of -2*w**3/3 + 15*w**2 - 182*w - 135. Find the first derivative of y(i) wrt i.
-4*i + 30
Find the third derivative of -93*g**2 - 89*g**2 - 65*g**3 + 184*g**2 - 11*g wrt g.
-390
What is the first derivative of 49*i + 1834 - 1595 + 65*i + 36*i wrt i?
150
Let x(t) be the third derivative of -5*t**8/12 - t**7/105 + 91*t**4/24 + 9*t**2 + 7. What is the second derivative of x(f) wrt f?
-2800*f**3 - 24*f**2
What is the second derivative of 171*j - 186*j**2 - 200*j**2 + 357*j**2 - 11*j wrt j?
-58
Let j(r) be the second derivative of -r**5/10 - 74*r**3/3 + 441*r**2/2 - 310*r. What is the first derivative of j(l) wrt l?
-6*l**2 - 148
Let m(k) = 38*k**3 + 69*k - 23. Let n(l) = 13*l**3 + 23*l - 8. Let w(x) = 6*m(x) - 17*n(x). What is the second derivative of w(b) wrt b?
42*b
Let b = -16 + 16. Suppose b = 4*z - 2*v + 3*v, v = -5*z. What is the third derivative of i + z*i**2 + 2*i**6 + i**2 - i wrt i?
240*i**3
Let a be ((-2)/(-4))/((-6)/(-12)). Suppose -m + a = 0, 0 = -5*k - 2*m + 5*m + 12. What is the first derivative of -f + 4 - 2*f + k*f + f**2 wrt f?
2*f
Let w(d) = -5*d**2 + 27*d + 11. Suppose 2*m + 16 - 38 = 0. Let o(y) = -2*y**2 + 14*y + 6. Let j(c) = m*o(c) - 6*w(c). Find the second derivative of j(t) wrt t.
16
Let j(x) be the first derivative of -x**5/10 + x**4/4 - 6*x + 5. Let y(g) be the first derivative of j(g). Find the third derivative of y(s) wrt s.
-12
Find the second derivative of 3*v**3 + 15*v**5 - 175*v - 2*v**5 + 10*v**5 + v**3 wrt v.
460*v**3 + 24*v
Let x(q) be the first derivative of 283*q**2/2 - 622*q + 443. Differentiate x(z) with respect to z.
283
Let w(b) be the third derivative of -9*b**6/20 - b**4/12 - 31*b**3/2 + 47*b**2 - 3. Differentiate w(q) wrt q.
-162*q**2 - 2
Let n(c) be the third derivative of -115*c**4/24 + 23*c**3/2 - 48*c**2. What is the first derivative of n(m) wrt m?
-115
Let r(t) = 99*t**3 + 11*t**2 - 5*t - 12. Let d(n) = 100*n**3 + 10*n**2 - 4*n - 10. Let z(a) = 5*d(a) - 4*r(a). Find the third derivative of z(v) wrt v.
624
Suppose w - t - 9 = 0, 0 = -5*w + t + 3*t + 41. What is the second derivative of w*p**2 + 3*p**2 + 14*p - 18*p wrt p?
16
Let o(d) be the third derivative of -d**7/210 + 16*d**5/15 + 65*d**3/3 + 36*d**2 + 2*d. Differentiate o(k) with respect to k.
-4*k**3 + 128*k
Let i(k) = 88*k**4 - 5*k**3 - 6*k**2 - 8. Let y(w) = -87*w**4 + 6*w**3 + 7*w**2 + 9. Let p(s) = -6*i(s) - 5*y(s). What is the third derivative of p(d) wrt d?
-2232*d
Let w = -53 - -57. What is the third derivative of -2*c**2 + 5246*c**w - 17*c**5 - 5246*c**4 wrt c?
-1020*c**2
Let i(f) = f**3 - f**2 + f + 3. Suppose 0 = -4*s + 2*s. Let c be i(s). Find the third derivative of -c*p**3 - 170*p**6 + 167*p**6 + 3*p**3 - 4*p**2 wrt p.
-360*p**3
Let l(s) be the second derivative of -5*s**7/14 - s**5/20 + 45*s**3/2 + 33*s + 2. What is the second derivative of l(v) wrt v?
-300*v**3 - 6*v
Suppose 2*o - 4 = -5*c, -2*o + 4*o = -6. Find the second derivative of -6*i + 17*i**c - i + 0*i wrt i.
34
Let b(s) = 58*s**4 + 7*s**3 + 360*s + 13. Let v(p) = -19*p**4 - 2*p**3 - 120*p - 4. Let d(k) = -2*b(k) - 7*v(k). Find the second derivative of d(y) wrt y.
204*y**2
What is the derivative of q**3 - 151 - 14*q**2 + 160*q**4 + 40*q**2 - 26*q**2 wrt q?
640*q**3 + 3*q**2
Suppose -o + 16 = -5*u - 7, -19 = -o + 4*u. Let w be -9*-2*o/18. What is the second derivative of 51*z + 7*z**4 + w*z**4 - 54*z wrt z?
120*z**2
Let c(l) be the third derivative of -8*l**6/5 + l**5/30 - 97*l**3/2 + l**2 - 78. Find the third derivative of c(w) wrt w.
-1152
Let q(k) be the second derivative of 45*k + 0 - 43/12*k**4 - 10/3*k**3 + 0*k**2. What is the second derivative of q(p) wrt p?
-86
Let f(r) = -7*r + 83. Let v be f(11). Suppose 4*p - 5 - 3 = 0. What is the second derivative of -w**2 + p*w - v*w + 0*w wrt w?
-2
Let m(u) = -u + 5. Let n(a) = 44*a - 141. Let f(q) = -3*m(q) + n(q). What is the first derivative of f(z) wrt z?
47
What is the derivative of -287*i - 293*i + 43 - 290*i + 868*i wrt i?
-2
Suppose -p = 5*f + 25, -3*f = -3*p - 8 + 23. Let t = p + 1. What is the first derivative of 0 + t + 4*s + 2 wrt s?
4
Let r(h) = -2*h**3 + h**2 - 1. Let v(o) = -3*o**4 - 12*o**3 + 35*o**2 + 5*o + 12. Let z(y) = 6*r(y) - v(y). What is the second derivative of z(j) wrt j?
36*j**2 - 58
Let n(i) = 3*i**4 - i**3 + i**2 - i. Let k(t) = 11*t**4 - 3*t**3 - 134*t**2 - 3*t - 86. Let y(q) = -k(q) + 3*n(q). What is the derivative of y(f) wrt f?
-8*f**3 + 274*f
Let o(u) be the second derivative of -163*u**5/20 + 167*u**2/2 + 22*u - 4. Find the first derivative of o(k) wrt k.
-489*k**2
Let y be ((-4 - -4) + 3)*8/6. Let b(a) = -a**3 + 5*a**2 - 4*a + 2. Let s be b(4). What is the first derivative of -12*r**4 + 0*r**4 + s + 5*r**y + 5*r**4 wrt r?
-8*r**3
Suppose -27 + 3 = -2*l. Find the second derivative of -10*b**2 - 7*b + 8*b + l*b wrt b.
-20
Let s(p) = -2*p**5 + 1. Let r(t) = -11*t**5 + 32*t**4 - 366*t**2 + 4. Let x(c) = -r(c) + 4*s(c). What is the third derivative of x(k) wrt k?
180*k**2 - 768*k
Let q(w) = 78*w**3 + 120*w**2 + 2*w - 2. Let j(i) = -158*i**3 - 239*i**2 - 5*i + 5. Let p(f) = 2*j(f) + 5*q(f). Find the third derivative of p(u) wrt u.
444
Suppose -21 = 2*v - 5*d, -d + 1 = -4*v + 4. What is the third derivative of 12*w**v - 28*w**2 - 185*w**4 + 189*w**4 wrt w?
96*w
Let c(x) = 2*x**2 - 26*x - 547. Let a(j) = -j**2 + 2*j. Let u(v) = 3*a(v) + c(v). Differentiate u(y) wrt y.
-2*y - 20
Let z(r) be the second derivative of 5*r**7 - 81*r**4/4 + 107*r + 1. Find the third derivative of z(d) wrt d.
12600*d**2
Find the second derivative of 201*u**5 + 65*u**5 + 22*u - 2 - 20*u wrt u.
5320*u**3
Let z(d) be the second derivative of 0*d**2 - 3/56*d**8 + 0 + 0*d**3 + 0*d**5 - 5/4*d**4 + 0*d**7 + 0*d**6 - 11*d. Find the third derivative of z(o) wrt o.
-360*o**3
Let g(l) = l**4 - l. Let f(h) = -9*h**4 - 4*h + 34. Suppose -12*a - 6 = -6*a. Let o(m) = a*f(m) + 4*g(m). What is the derivative of o(y) wrt y?
52*y**3
Let m(v) be the first derivative of 135*v**2 - 119*v - 438. What is the derivative of m(q) wrt q?
270
Let o(v) = -v**4 - 3*v**3 + 44*v**2 + 4*v + 4. Let s(f) = 2*f**3 - 45*f**2 - 3*f - 3. Let z(q) = 3*o(q) + 4*s(q). Find the third derivative of z(l) wrt l.
-72*l - 6
Let w be (-2 - 14)/(-4) + 52. Differentiate -112*y**3 + 56*y**3 + w*y**3 + 32*y**4 - 57 wrt y.
128*y**3
Let f(i) be the first derivative of 1/2*i**2 + 11/5*i**5 + 48 + 18*i + 0*i**3 + 0*i**4. What is the second derivative of f(p) wrt p?
132*p**2
Let n(t) = 5*t**2 + t. Suppose 6*d = 9*d + 3. Let i be n(d). Find the second derivative of 22 - 22 + h**2 - i*h wrt h.
2
Find the third derivative of -5*i**2 + 9*i + 0*i**6 + 9*i + 4*i**2 - 38*i - 2*i**6 - 77*i**3 wrt i.
-240*i**3 - 462
Let y be (-4)/(-10) - 16/(-10). Let w be ((-1)/((-2)/32))/y. What is the third derivative of 9*s**4 - 3*s**2 + 0*s**2 - 3*s**2 - w*s**4 wrt s?
24*s
Let r(b) = -b**2 + 6*b - 263. Let n(d) = -d**2 + 5*d - 263. Let t(m) = -6*n(m) + 5*r(m). Differentiate t(j) wrt j.
2*j
Suppose 0 = -k - 429 + 432. Let b(q) be the first derivative of 0*q**2 - q + 4 - 2/3*q**k. What is the derivative of b(r) wrt r?
-4*r
Suppose -6 = 3*p - 15. What is the third derivative of 8*i**3 - 12*i + 12*i + 6*i**2 - i**p wrt i?
42
What is the first derivative of 67 + 57 - 79 + 69 + 156*l wrt l?
156
Let z(m) be the first derivative of 4*m**2 + 9 - 213*m - 3*m**4 - 4*m**2 + 203*m. Differentiate z(s) with respect to s.
-36*s**2
Let r = 27 - 27. Let m be (r + 4 + -3)*2. What is the derivative of 6*s - 2 - m + 4 - 4 wrt s?
6
What is the third derivative of 19*a**3 - 115*a**2 + 129*a**3 + 22*a**3 + 283*a**2 wrt a?
1020
Let a(n) = -9*n**3 + 26*n**2 - 29*n + 1203. Let m(p) = -4*p**3 + 12*p**2 - 14*p + 602. Let s(h) = 6*a(h) - 13*m(h). Differentiate s(t) with respect to t.
-6*t**2 + 8
Let i(a) be the th