s*n**2 + 4*n**3 - 3*n**2 + n**2 wrt n.
24
Let t = -1/187 + 2433/374. Let o(w) be the first derivative of -11/3*w**3 + 0*w + t*w**2 + 4. What is the second derivative of o(d) wrt d?
-22
Suppose 0 = -2*m + m. Suppose 0 = 2*z - m - 6. Differentiate v**4 - z - 1 + 0*v**4 + 4*v**4 wrt v.
20*v**3
Suppose -4*u + 8 + 12 = 0. What is the third derivative of -208*z**2 + 244*z**2 - 30*z**u - 6*z**5 wrt z?
-2160*z**2
Let v(q) be the first derivative of 375*q**7/7 + 52*q**3/3 - q**2 - 434. Find the third derivative of v(d) wrt d.
45000*d**3
Let v(q) = -140*q**4 + 4*q**3 - 25. Let k(p) = 4761*p**4 - 138*p**3 + 851. Let x(h) = 2*k(h) + 69*v(h). Find the first derivative of x(z) wrt z.
-552*z**3
Let i(y) be the second derivative of 85*y**3/6 + 241*y**2/2 - 4*y + 26. Find the first derivative of i(n) wrt n.
85
Suppose 20*s - 28 + 28 = 0. Let k(v) be the second derivative of -2*v + s*v**2 + 0*v**3 + 0 + 3/5*v**5 - 1/4*v**4. What is the third derivative of k(n) wrt n?
72
Differentiate 254 - 312*f - 92 + 308*f wrt f.
-4
Let p(b) = b**2 - 16*b + 3. Let u be p(16). What is the second derivative of -11*q**4 + u*q + 6*q - 3*q**4 + 0*q wrt q?
-168*q**2
Suppose 4*f - 3 = -g, 2*f = 7*f. What is the third derivative of 5*t**4 - g*t**4 - 2*t**4 - 14*t**2 - 20*t**5 wrt t?
-1200*t**2
Let t(c) be the third derivative of -c**6/60 - 49*c**4/24 + 2*c**2 + 22*c. Find the second derivative of t(k) wrt k.
-12*k
Let c(t) be the first derivative of -6*t**5/5 + 3*t**4/4 - 135*t**2/2 - 87. Find the second derivative of c(l) wrt l.
-72*l**2 + 18*l
Find the first derivative of -5*t - 9*t**2 - t + 8*t - 71 wrt t.
-18*t + 2
What is the first derivative of 0*q - 13*q - 227 + 84 wrt q?
-13
Let r(x) be the first derivative of 9*x**2/2 - 53*x + 13. Find the first derivative of r(f) wrt f.
9
Suppose -2*z - 4 = -8. Let h(d) be the first derivative of 3*d**4 + 3 - 15*d**2 + 15*d**z + d**3. Find the third derivative of h(a) wrt a.
72
Let y(n) = -10*n**3 + n - 1. Let k be y(1). Let p be k/(-5) + (-1 - -4). What is the third derivative of 0*c**2 - p*c**2 + 4*c - 5*c**6 - 4*c wrt c?
-600*c**3
Let s(w) = -17*w**4 + 10*w**3 - 7*w**2 - 5*w + 135. Let n(k) = 18*k**4 - 12*k**3 + 8*k**2 + 6*k - 134. Let t(d) = -5*n(d) - 6*s(d). Differentiate t(z) wrt z.
48*z**3 + 4*z
Let g(i) = -4*i - 36. Let w be g(-10). Find the first derivative of -11 - 6 + 0*t - w*t + 2 wrt t.
-4
Let q(j) = 5*j**2 + j. Let u be q(1). Let o = u + -6. Find the third derivative of -2*a**4 - 3*a**2 + 0*a**2 + o*a**2 + a**2 wrt a.
-48*a
Let v(d) = 9*d**2 - 5*d - 718. Let m(s) = 14*s**2 - 8*s - 1074. Let h(y) = 5*m(y) - 8*v(y). What is the first derivative of h(o) wrt o?
-4*o
Let b(c) = -c**2 - 5*c + 3. Let v be b(-5). Let q(w) = -2*w - 40. Let y be q(-22). What is the derivative of -34*t**3 + t**4 + 0*t**y + 34*t**v + 3 wrt t?
4*t**3
Let o(p) be the second derivative of 349*p**7/42 - 64*p**4/3 + 79*p + 3. Find the third derivative of o(l) wrt l.
20940*l**2
Let x(n) = -7*n**6 + 54*n**4 + n**2 - 33*n. Let t(r) = -r**6 + r**4 - r**2 - 2*r. Let g(l) = -5*t(l) + x(l). Find the third derivative of g(z) wrt z.
-240*z**3 + 1176*z
Suppose -3*u + 3*c = 12, -2 + 12 = -u + 3*c. Let h(n) = 18*n**2 - 6*n + 9. Let y(k) = -k - 1. Let j(t) = u*h(t) + 6*y(t). Differentiate j(x) with respect to x.
-36*x
Find the second derivative of 29*q + 60*q**2 + 67*q - 15*q - 3 - 29*q wrt q.
120
Let y(n) be the third derivative of 0 + 0*n**5 - 1/20*n**6 + 0*n + 4*n**2 + 0*n**4 - 3/2*n**3. Differentiate y(x) wrt x.
-18*x**2
Let k(z) be the third derivative of 2*z**7/15 - z**6/60 - 103*z**5/60 - 3*z**2 + 4. What is the third derivative of k(a) wrt a?
672*a - 12
Suppose -4*q = -3*q. Suppose q = -2*y + 3 + 1. Find the first derivative of 5*o + 1 + 4 + o - y*o wrt o.
4
Let s(y) be the second derivative of 7/10*y**5 + 0 + 0*y**2 + 14*y + 0*y**4 - 3/2*y**3. Find the second derivative of s(a) wrt a.
84*a
Suppose 20 = -4*p + 48. What is the first derivative of -3 - p - 30 - 28*c**3 wrt c?
-84*c**2
Let i be (1 - 6) + (-1 - 3). Let c be i/(-2)*(-8)/(-18). Differentiate -p - 2 - p - p - c*p with respect to p.
-5
What is the second derivative of 3*k - 61*k - 18*k + 102*k**3 - 30*k wrt k?
612*k
What is the third derivative of 9 - 105*p**4 + 6*p**4 - 4*p**2 - p**2 + p**2 wrt p?
-2376*p
Let z be (2/(-1))/((-6)/12). Suppose -2*x = 2*x + z*c - 12, 0 = 3*x + 2*c - 8. What is the second derivative of 0*t**4 + 0*t**4 - x*t + 4*t**5 wrt t?
80*t**3
Differentiate -82 - 22 + 18947*f - 18956*f wrt f.
-9
Let f be ((-83)/2)/((3/(-6))/1). What is the second derivative of -31*t**3 + 1 + f*t**3 + t + 0 + 12 wrt t?
312*t
Let j(q) be the second derivative of -31*q**6/15 - 17*q**3/3 + 5*q. Find the second derivative of j(g) wrt g.
-744*g**2
Let s(q) = -99*q**3 - 44*q**2 + 4*q + 2. Let u(o) = -199*o**3 - 87*o**2 + 10*o + 5. Let r(f) = 5*s(f) - 2*u(f). Find the third derivative of r(d) wrt d.
-582
What is the second derivative of -7937 + 174*i + 7937 + 71*i**2 wrt i?
142
Let q(k) be the second derivative of -3*k**5/4 - k**3/3 - 603*k**2/2 - k + 73. What is the derivative of q(b) wrt b?
-45*b**2 - 2
Let o be 1/(-6)*-2*6. What is the third derivative of 7*a**o + a**4 + 4*a**4 + 4*a**4 wrt a?
216*a
Let g be -2 + -2 - -5 - -7. Let l(h) = 6*h + 9. Let z(c) = -2*c - 3. Let k(x) = g*z(x) + 3*l(x). What is the first derivative of k(b) wrt b?
2
Let b(n) be the third derivative of 41*n**6/120 - 21*n**5/20 - 20*n**2. What is the third derivative of b(w) wrt w?
246
Let t(q) = -q**2 + 14*q - 19. Let h be t(9). Let k = 32 - h. Find the third derivative of l**2 - 2*l**k + l**6 - 3*l**6 wrt l.
-480*l**3
Let d(c) be the first derivative of 185*c**3/3 - 18*c + 123. Differentiate d(w) wrt w.
370*w
Let h(d) be the second derivative of -4*d**7/35 - 23*d**3/6 - d**2/2 + 35*d. Let g(r) be the first derivative of h(r). What is the derivative of g(t) wrt t?
-96*t**3
Suppose k - 2 + 0 = 0. Suppose k = f - 1. What is the second derivative of -8*t + t**3 + 9*t - 5*t**f wrt t?
-24*t
Let m(t) be the second derivative of -t**7/252 - 7*t**5/120 + 5*t**4/6 - 5*t. Let q(p) be the third derivative of m(p). What is the derivative of q(b) wrt b?
-20*b
Let k(c) be the second derivative of -29/12*c**4 + 0*c**6 + 0*c**5 + 23*c + 0*c**3 + 0*c**2 - 1/2*c**7 + 0. What is the third derivative of k(g) wrt g?
-1260*g**2
Let z(l) = -23*l**3 - 1. Let y be z(-1). Let i = y - 16. Find the third derivative of -2*o**2 - 3*o**4 + i*o**2 - 7*o**2 wrt o.
-72*o
Find the second derivative of -125 + 66 - 198*m**4 + 70 + 6*m wrt m.
-2376*m**2
Let c(p) be the second derivative of -4*p**2 - 22*p + 3/2*p**3 + 0. Differentiate c(x) with respect to x.
9
Let j = 110 - 108. Find the first derivative of 1578*f**2 + 39*f**4 - 33 - 1578*f**j wrt f.
156*f**3
Let c(b) be the third derivative of 4*b**9/21 + 191*b**5/60 + 3*b**2 - 2*b. Find the third derivative of c(y) wrt y.
11520*y**3
Let z be (-3)/9 + 1/3. Let j(f) be the second derivative of 1/10*f**5 + z + 0*f**3 + 0*f**2 - 8*f - 1/4*f**4. Find the third derivative of j(y) wrt y.
12
Let u(y) be the second derivative of -y**7/280 - 11*y**6/360 - 2*y**3 - 6*y. Let i(l) be the second derivative of u(l). Find the third derivative of i(v) wrt v.
-18
Let d(s) = s**5 + s**2 - 2*s. Let x(g) = 575*g**5 + 4*g**2 - 73*g - 2. Let f(v) = -4*d(v) + x(v). What is the second derivative of f(i) wrt i?
11420*i**3
Let n(r) be the first derivative of 163*r**3/3 - r**2 - 421*r + 482. What is the derivative of n(y) wrt y?
326*y - 2
Let d(l) be the third derivative of 59*l**8/112 + l**4/12 + 17*l**3/6 - 4*l**2 - 9*l. Find the second derivative of d(h) wrt h.
3540*h**3
Let g = 9 - 4. Suppose -2*l = 5*m - 31, -4 = -m + 1. What is the first derivative of -11*u + u**l + 11*u + g wrt u?
3*u**2
Find the third derivative of -153*q**3 - 6*q**2 + 25*q**2 + 205*q - 18*q**2 wrt q.
-918
Let q(a) be the first derivative of 0*a**2 + 7*a - 5/2*a**4 + 0*a**3 - 12. Differentiate q(r) wrt r.
-30*r**2
What is the first derivative of 98*y + 168*y + 136*y + 353 wrt y?
402
Let k(r) be the third derivative of 107*r**7/105 + r**5/60 - 439*r**3/6 + 43*r**2. Find the first derivative of k(v) wrt v.
856*v**3 + 2*v
Let i = 361 + -361. Let x(c) be the third derivative of 0*c**4 + i + 0*c**5 + 0*c - 1/60*c**6 + 7/6*c**3 + c**2. What is the derivative of x(r) wrt r?
-6*r