third derivative of -k + k**2 - k**3 + o*k + k wrt k.
-6
Differentiate 82*q**2 + 41 - 166*q**4 + 0 - 47*q**4 - 82*q**2 wrt q.
-852*q**3
Suppose 45 = 9*t - 0*t. What is the second derivative of -4*b + 5*b + 11 + b**5 + 47*b**5 + 0*b**t wrt b?
960*b**3
Let a(m) = m**2 + 3*m + 3. Let k be a(-4). What is the derivative of 18 - 13 - 3*t**4 + k*t**4 - 3*t**4 wrt t?
4*t**3
Let z(a) = 40*a**2 - 5*a - 2. Let k(c) be the first derivative of -c**3/3 + c**2 + 12. Let j(q) = -k(q) - z(q). What is the second derivative of j(f) wrt f?
-78
Let w(c) = -7*c**4 - 3*c**3 + 15*c**2 - 56. Let x(k) = 4*k**4 + k**3 - 7*k**2 + 28. Let f(q) = -6*w(q) - 13*x(q). What is the third derivative of f(y) wrt y?
-240*y + 30
Let c = -13 + 17. What is the second derivative of 29*l**4 - l**c + 1825*l - 1826*l wrt l?
336*l**2
Suppose 67 = 3*o + 5*i, -3 = 2*i - 1. Let c be (-74)/(-8) - (-18)/o. Find the second derivative of 2*f - 7*f + 5*f**5 + c*f wrt f.
100*f**3
Let n be (-5)/(20/8) - -7. Let s = n + 4. What is the third derivative of 11*t**5 - s*t**2 + t**2 - 16*t**5 wrt t?
-300*t**2
Let c(u) = 220*u + 154. Let f(j) = 440*j + 313. Let l(k) = 13*c(k) - 6*f(k). Differentiate l(n) with respect to n.
220
Suppose 3 = -5*j + 28. What is the second derivative of -9*q**3 + j*q + 8*q - 16*q wrt q?
-54*q
Find the second derivative of 53*j - 63*j + 105*j**5 + 164*j**5 - 21*j**5 - 197*j wrt j.
4960*j**3
Suppose -2*v + 3 = -1. What is the first derivative of 2 + 6 + 2*y + v*y - 4 wrt y?
4
Let z(p) = -p**3 + 6 - 13*p - 2 + 25*p - 11*p**2. Let f be z(-12). Find the second derivative of f*a**5 + 94*a - 82*a - a**5 wrt a.
60*a**3
Suppose -m - 3*r - 1 = 0, m - 2*r - 4 = -0*m. Find the second derivative of 22*j**m - 63*j**2 + 13*j**2 - 16*j + 44*j wrt j.
-56
Let z(l) be the first derivative of l**8/560 + 29*l**5/120 - l**3 - 34. Let x(o) be the third derivative of z(o). What is the second derivative of x(n) wrt n?
36*n**2
What is the third derivative of 6*h**2 - 68*h**6 - 9*h**2 - 227*h**6 - 2*h**2 + 2*h - 13*h**2 wrt h?
-35400*h**3
Let n(b) = -57*b**2 + 4*b + 140. Let k(u) = 115*u**2 - 10*u - 277. Let s(o) = -2*k(o) - 5*n(o). What is the derivative of s(q) wrt q?
110*q
Let m(d) = 13*d - 17. Suppose 41 - 6 = -5*l. Let f(p) = 7*p - 25 + 2*p + 10*p. Let q(t) = l*m(t) + 5*f(t). Find the first derivative of q(c) wrt c.
4
What is the third derivative of -37*t**5 - 50*t**6 - 782*t**4 + 780*t**4 + 145*t**2 + 364*t**2 + 37*t**5 wrt t?
-6000*t**3 - 48*t
Let o(i) = -i**2 - i - 1. Let q(w) = -w**3 + 123*w**2 + 94*w - 9. Let j(u) = 18*o(u) - 2*q(u). What is the second derivative of j(a) wrt a?
12*a - 528
Let t(n) be the first derivative of -17*n**2/2 + 14*n - 70. Differentiate t(o) with respect to o.
-17
Let y(k) = -2*k**2 - 2*k - 1. Let g(o) = 499*o**3 + 13*o**2 + 11*o + 4. Let l(a) = -g(a) - 4*y(a). Find the third derivative of l(n) wrt n.
-2994
Find the third derivative of -3*b - 2100*b**3 + b - 13*b**2 + 2365*b**3 wrt b.
1590
Let n(g) = g. Let p be n(4). Suppose t - 5*t - 10 = -3*h, -2*h + 5 = -t. What is the derivative of 56*z + h - 4*z**p - 56*z wrt z?
-16*z**3
Let k be (3/15 + 2)/(3/15). What is the third derivative of -k*s**6 + 0*s**5 - 30*s**2 + 0*s**5 + 0*s**5 wrt s?
-1320*s**3
Let l(k) be the second derivative of -5*k**7/7 - 31*k**3/6 - 3*k**2/2 + 2*k + 181. What is the second derivative of l(p) wrt p?
-600*p**3
Suppose 24*o + 12 = 27*o. Differentiate 5*g**2 + 1169 - 1192 - o*g**2 with respect to g.
2*g
Suppose 15*z - 19*z = -8. What is the second derivative of -z*v - 18*v + 0*v - 9*v**2 wrt v?
-18
Suppose -96 = -5*j + 4*s, -j + 2*s + 58 = 2*j. Differentiate -16 - j + 12 + 13*i**2 - 36*i**2 with respect to i.
-46*i
Let b(d) be the first derivative of 9*d**7/7 + 9*d**4/4 - 2*d**3 + 5*d - 21. What is the third derivative of b(t) wrt t?
1080*t**3 + 54
Let r(s) = -s + 3*s**2 + s**2 - 4*s**2 - s**5. Let g(q) = 10*q**5 + 23*q. Let h(t) = g(t) + 4*r(t). Find the second derivative of h(a) wrt a.
120*a**3
Let t(p) be the third derivative of p**6/24 + p**5/30 - p**4/24 - p**3/3 + 36*p**2. Find the second derivative of t(z) wrt z.
30*z + 4
What is the first derivative of -61*p**3 + 12*p + 27 - 71 - 12*p wrt p?
-183*p**2
Let l(w) be the first derivative of -27*w**4 - 118*w**2 + 65. What is the second derivative of l(g) wrt g?
-648*g
Let a(b) be the first derivative of -86*b**5/5 - 9*b**3 - 12. What is the third derivative of a(u) wrt u?
-2064*u
Find the second derivative of -40*c**2 - 11*c**2 - 36*c - 48*c - 22 + 15*c + 21 - c**3 wrt c.
-6*c - 102
Suppose -h - 5 + 20 = 0. Let z be h/4 - (-18)/(-24). What is the derivative of -4*k**z - 2 - 3 + 3 wrt k?
-12*k**2
Let k(l) be the second derivative of l**6/10 - 23*l**3/6 - 109*l**2/2 + 2*l - 283. Find the first derivative of k(i) wrt i.
12*i**3 - 23
Let k(y) = y**3 - 2*y**2 - 11*y + 2. Let j be k(5). What is the first derivative of 22*u**2 - 5 - j*u**2 + 3 - 12*u**3 wrt u?
-36*u**2
Let r = -13 + 18. Suppose 29 = 3*p - 2*j + r, -5*j - 3 = 2*p. What is the third derivative of 2*z**6 + 25*z**2 - 31*z**2 - 5*z**p wrt z?
-360*z**3
Let i(q) = q**2 - 11*q + 15. Let z be i(10). Suppose z*p = 4*y - 11, -p = 5*y - 4 - 17. What is the second derivative of -4*s**y - s - s + 2*s**4 + s**4 wrt s?
-12*s**2
Let n be (-3)/(-15) - 456/(-20). Let v(t) = t**3 + 11*t**2 + 7. Let a be v(-11). Find the first derivative of -n + s - 23 - a*s + 47 wrt s.
-6
Let z(h) = 3*h + 14. Let x(i) = 2*i + 7. Suppose p - 4*b + 9*b + 11 = 0, -3*p - 4*b - 22 = 0. Let q(g) = p*z(g) + 11*x(g). Differentiate q(a) wrt a.
4
Let l(b) = 4*b**2 + b. Let q be l(1). Find the second derivative of 0*p**2 + q*p**2 + 3*p + 7*p wrt p.
10
Let q(j) be the first derivative of 25*j**6/6 - j**4/4 - 58*j**2 - 17. Find the second derivative of q(b) wrt b.
500*b**3 - 6*b
Suppose -f - 7 = 3*o, -f - 11 = -4*f - o. Differentiate -26 - 3*z + 10*z + 8*z + f*z with respect to z.
20
Let l(c) be the second derivative of -31*c**8/14 - 16*c**4/3 + c**3/6 + 201*c. What is the third derivative of l(b) wrt b?
-14880*b**3
Find the second derivative of 100*v + 13*v - 507*v**4 + 427*v**4 + 61*v wrt v.
-960*v**2
Let v(x) = -x**2 + 5*x. Let j be v(4). Suppose 7 = 5*i - 2*k, -j*i - i = 4*k - 31. What is the second derivative of 5*t**i - 2 + 20*t - 23*t + 2 wrt t?
30*t
Suppose -3*a - 3 + 0 = 0. Let s(i) = -3*i**3 + 12*i**2 + 12. Let v(g) = -g**3 - 1. Let z(n) = a*s(n) - 12*v(n). What is the third derivative of z(b) wrt b?
90
Let v(s) = -s**3 - s**2 - 2. Let m(b) = -42*b**3 - 7*b**2 - 31*b - 14. Let g(t) = -3*m(t) + 21*v(t). Find the second derivative of g(w) wrt w.
630*w
Suppose 9*c = 7*c + 12. Let n = 10 - c. Find the third derivative of y**2 - 5*y**n + 0*y**2 + y**4 wrt y.
-96*y
Suppose -4*w - 28 = -44. Find the third derivative of 2*s**3 - 2*s**3 - 12*s**2 + 5*s**4 - 13*s**w wrt s.
-192*s
Let u = -39 + 41. Find the first derivative of 237*n**2 - 127*n**2 - 120*n**u - 5 wrt n.
-20*n
What is the derivative of -28 - 2*m**2 - 16*m**2 - 5*m + 3*m**3 + 3*m + 2*m wrt m?
9*m**2 - 36*m
Let n(c) be the third derivative of -161*c**6/120 - 83*c**5/10 - c**2 + 2*c. What is the third derivative of n(r) wrt r?
-966
Let r(g) be the third derivative of -9*g**2 + 0 + 0*g + 0*g**3 + 17/24*g**4 + 3/10*g**5. What is the second derivative of r(l) wrt l?
36
Let z(s) = 3*s**2 + s. Let c be z(-1). Let g = -1 + 5. What is the derivative of g - y - y + y + c*y wrt y?
1
Suppose -22 = -4*b + 122. Differentiate -16*w**2 + b*w**2 - 10 - 12*w**2 with respect to w.
16*w
What is the third derivative of 75*m**3 - 152*m**3 - 46*m**2 + 2*m**4 + 6*m**6 + 77*m**3 wrt m?
720*m**3 + 48*m
Let q(u) be the third derivative of -1/10*u**6 + 0*u**3 + 0*u + 9*u**2 + 0*u**5 + 5/8*u**4 + 0. What is the second derivative of q(a) wrt a?
-72*a
Let k(m) be the first derivative of 98*m**5/5 + 117*m - 126. Differentiate k(a) with respect to a.
392*a**3
Let n(g) = -g. Let b(y) = 2*y**3 + 6*y**2 + 2*y + 104. Let z(c) = b(c) + 4*n(c). What is the second derivative of z(v) wrt v?
12*v + 12
Let w(d) = -23*d**3 - 9*d**2 + 3*d - 339. Let f(y) = 46*y**3 + 18*y**2 - 5*y + 684. Let u(x) = -3*f(x) - 5*w(x). Find the first derivative of u(o) wrt o.
-69*o**2 - 18*o
Let h(w) = 10*w**2 + 2*w + 1. Let i be h(-1). Let z = 13 - i. Find the third derivative of 5*l**2 + 6*l**5 - z*l**5 - 5*l**5 wrt l.
-180*l**2
S