538*x
What is the second derivative of 477*s**4 + 2 + 2061*s - 1 + 2057*s - 4115*s wrt s?
5724*s**2
Suppose 52 = p - 3*p. Let k(j) = -17*j**2 + 4. Let d(c) = -4*c**2 + 1. Let n(b) = p*d(b) + 6*k(b). Differentiate n(t) wrt t.
4*t
Let j(r) = 80*r**3 + 11*r + 1. Let o(w) = -78*w**3 - 11*w. Let n(m) = 3*j(m) + 2*o(m). What is the second derivative of n(i) wrt i?
504*i
Suppose 0 = 4*v - 2*a - 10, 2*a + 13 - 48 = -5*v. Let k(y) be the third derivative of v*y**2 + 5/6*y**3 - 5/24*y**4 + 0 + 0*y. Differentiate k(i) wrt i.
-5
Let z(q) be the first derivative of 82*q**5/5 - 154*q**3/3 + 5. Find the third derivative of z(j) wrt j.
1968*j
Let i(s) = -s**2 - 8*s + 2. Let q be i(-8). Differentiate y**q + 8 + 0*y**2 + 12*y**2 with respect to y.
26*y
Let x = 4 - 14. Let t = x - -12. What is the second derivative of -3*a + 3*a**2 + 2*a**t - a wrt a?
10
Let g(y) be the second derivative of 0*y**4 + 0*y**3 - 7*y**2 + 0*y**5 - 14*y + 0 + 29/30*y**6. What is the first derivative of g(d) wrt d?
116*d**3
Suppose -5 = 3*l - 4*l. Suppose -l*n = -6*n. What is the third derivative of k**2 + k**2 + k**4 + 0*k**2 + n*k**4 wrt k?
24*k
Suppose 8*t + 3 = 27. What is the third derivative of 6*h**2 - 16*h**2 - 3*h - 41*h**t + 12*h**2 wrt h?
-246
Let p(n) = n + 5. Let h be p(-4). Let k(i) be the first derivative of 0*i - 3*i**2 + 3*i**2 - i - h + 2*i**2. Find the first derivative of k(b) wrt b.
4
Let v(j) be the third derivative of -3*j**7/14 - 41*j**3/3 + 15*j**2. Find the first derivative of v(b) wrt b.
-180*b**3
Let v(x) be the first derivative of -4*x**7/7 - 11*x**5/5 + 511*x**3/3 - 312. What is the third derivative of v(m) wrt m?
-480*m**3 - 264*m
Let r(w) = w**3 - 6*w**2 + 3*w - 13. Let p be r(6). Suppose -t = -0 - p. What is the second derivative of 7 + q - 8 + q**t + 1 wrt q?
20*q**3
Let o be (-210)/(-12) + 3/(-2). Let i = o - 14. Find the first derivative of 4 + 2*j**2 + j**2 + 5*j**i - 12 wrt j.
16*j
Let m(t) be the third derivative of -t**7/210 + 26*t**5/5 + 197*t**3/6 + 979*t**2. Differentiate m(o) with respect to o.
-4*o**3 + 624*o
Let t = -20 + 17. Let p be t/18 - 98/(-12). What is the third derivative of -8 + 4*d**3 + p + 8*d**2 wrt d?
24
Let y(d) be the third derivative of 13*d**7/14 + 5*d**4/12 + d**3/3 + 124*d**2. What is the second derivative of y(q) wrt q?
2340*q**2
Let n(b) = -2 - 4 - 5 - 4 - 63*b. Let z(o) = -31*o - 7. Let q(t) = 4*n(t) - 9*z(t). Differentiate q(g) wrt g.
27
Suppose -2*m + 8 = 0, 4*k - 76 = 3*m - m. What is the third derivative of -361*g + 361*g - k*g**2 + 8*g**3 wrt g?
48
Let z(w) = -9*w**3 + 8*w**2 + 6*w - 5. Let o(t) = -t**2 - t + 2. Let l(n) = -6*o(n) - z(n). What is the first derivative of l(y) wrt y?
27*y**2 - 4*y
Let a(o) = -27*o**4 - 2*o**3 + 48*o + 2. Let v(w) = -55*w**4 - 5*w**3 + 97*w + 5. Let h(t) = -5*a(t) + 2*v(t). Find the second derivative of h(l) wrt l.
300*l**2
Let p(l) be the first derivative of l**4/2 - 3*l**3 + 14*l - 24. Differentiate p(y) with respect to y.
6*y**2 - 18*y
Let c(i) be the first derivative of -81*i**2/2 - 141*i + 49. Find the first derivative of c(d) wrt d.
-81
What is the second derivative of -128*p - 792*p**5 + 944 - 944 wrt p?
-15840*p**3
Let w(s) = 7*s**2 - 38*s - 126. Let p(r) = 6*r**2 - 37*r - 127. Let v(d) = -5*p(d) + 4*w(d). Differentiate v(t) wrt t.
-4*t + 33
Let s(k) be the first derivative of 233*k**7/7 - 14*k**3/3 + 2*k**2 + 75. What is the third derivative of s(t) wrt t?
27960*t**3
Let w(a) be the second derivative of 11*a**3/2 + 223*a**2/2 + 334*a. Differentiate w(o) wrt o.
33
Let r(d) = d**2 + 17*d + 34. Let o be r(-15). Find the third derivative of -63*l**o - 2 + 19*l**4 + 2*l**2 + 2*l**2 wrt l.
-1056*l
Suppose -5*z - 5*s = -12 - 33, 15 = 3*s. Find the third derivative of -51*g + 12*g**2 + 51*g - 3*g**2 + 12*g**z wrt g.
288*g
Differentiate 107*t - 107*t - 2*t**3 + 0*t**3 - t**2 - 79 wrt t.
-6*t**2 - 2*t
Let v(q) be the third derivative of 1/35*q**7 + 0 + 0*q**6 + 0*q**4 + 0*q**5 + 0*q - 10*q**2 + 19/6*q**3. Find the first derivative of v(g) wrt g.
24*g**3
Suppose t + 6 = -4*h, -18 = -t - 0*t + 2*h. Find the third derivative of -t*a**6 - 4*a + 17*a**2 + a + 3*a wrt a.
-1200*a**3
Suppose 5 - 12 = s. Let l be 2/(-7) - 30/s. What is the second derivative of l*d**4 + d - 2*d**4 + 5*d wrt d?
24*d**2
Let l be 81*(-1)/(-9)*3. Let v be 1/(-3) - (-549)/l. What is the first derivative of -7*c**2 + 20*c - 1 - c**2 - v*c wrt c?
-16*c
Let h be (-6)/4 + (-9)/6 + 5. Find the third derivative of 16*j**h - j**6 - 2*j**6 + 3*j**2 + 2*j**6 wrt j.
-120*j**3
Let y(b) = -21*b**3 + 175. Let z(l) = 62*l**3 + l**2 - 526. Let k(g) = -11*y(g) - 4*z(g). Find the first derivative of k(r) wrt r.
-51*r**2 - 8*r
What is the third derivative of -22*d**5 + 17*d**5 - 66*d**2 - 49*d**5 - 8*d**2 wrt d?
-3240*d**2
Let b(n) be the first derivative of 370*n**3/3 - 231*n + 23. What is the derivative of b(p) wrt p?
740*p
What is the second derivative of -943*d**3 - 945*d**3 + 1890*d**3 + 2 + 605*d - 20*d**4 wrt d?
-240*d**2 + 12*d
Suppose 3*c - 9 = -3. Let n(y) = -2 + 10 + c*y + 9*y. Let i(l) = 10*l + 7. Let p(w) = 7*i(w) - 6*n(w). Differentiate p(u) wrt u.
4
Let g(k) be the third derivative of 0*k**5 + 0 - 40*k**2 + 0*k**4 + 0*k**6 + 0*k - 1/7*k**7 - 17/6*k**3. Differentiate g(u) wrt u.
-120*u**3
Let r(s) = 8*s**2 - 5*s - 182. Let f(k) = 2*k**2 + k. Let l(j) = 2*f(j) - r(j). What is the first derivative of l(z) wrt z?
-8*z + 7
Suppose 6*p - p - 20 = 0. Let z be (-3)/(-15) - 1/5. Differentiate -2*r**p - 2*r + 5 + 2*r + z*r wrt r.
-8*r**3
Let q(a) = -a**3 + a + 2. Let v be q(0). Find the first derivative of 2 - 4 - 14*d**2 + 9*d**v wrt d.
-10*d
Let g = -3 + 6. Let f be (-1)/(7/(-2) + g). Find the second derivative of 2*d - 2*d**2 - 4*d**f + 0*d**2 + 4*d**2 wrt d.
-4
Let b(p) be the third derivative of -111*p**8/112 + 10*p**4 + 58*p**2 + 1. What is the second derivative of b(y) wrt y?
-6660*y**3
What is the third derivative of 2568*f**2 - 2570*f**2 + 49*f - 320*f**4 - 13*f wrt f?
-7680*f
Let n(g) be the first derivative of -11*g**6/30 - 3*g**2 + 12*g - 16. Let a(b) be the first derivative of n(b). Find the first derivative of a(c) wrt c.
-44*c**3
What is the second derivative of 9*v**3 + 2 + 112*v - 28*v + 8*v**3 + 54*v**3 + 71*v**3 wrt v?
852*v
Let c(f) = 88*f**2 + 100*f. Let z(u) = 174*u**2 + 200*u. Let b(h) = 5*c(h) - 3*z(h). Find the second derivative of b(r) wrt r.
-164
Let p(c) = -1. Let a = -21 + 20. Let g(f) = -10*f + 8. Let b(m) = a*g(m) - 12*p(m). Let o(x) = -1. Let y(u) = -b(u) + 2*o(u). Differentiate y(w) wrt w.
-10
Let q(a) = a**2 - 14. Let g be q(-11). Find the third derivative of -169*s**5 - 31*s**2 + g*s**5 + 92*s**5 wrt s.
1800*s**2
Find the second derivative of 140*l**3 - 11*l**3 - 2*l**5 + 70*l**3 - 8*l + 3*l**5 - 67*l wrt l.
20*l**3 + 1194*l
Suppose -4*k + 70 = 3*k. Differentiate 7*s**2 - 7*s**2 - 7*s**4 + 0 - k wrt s.
-28*s**3
Let f = -60 - -63. What is the derivative of -37 - 4*p**3 - 20*p**f + 64 wrt p?
-72*p**2
What is the first derivative of c**3 - 224*c**2 - 447 + 78*c**2 + 204 wrt c?
3*c**2 - 292*c
Let z(o) = 26*o**3 - 8*o**2 - 10. Let i(j) = j**2 + 1. Let y(w) = 40*i(w) + 4*z(w). What is the third derivative of y(b) wrt b?
624
Let g(s) = -s**4 - s**2 - 2*s + 1. Let t(d) = 10*d**4 + 6*d**2 + 12*d + 12. Let f(k) = -12*g(k) - 2*t(k). Differentiate f(l) with respect to l.
-32*l**3
Let i be -1*(-5 - (-3 + 3)). Find the second derivative of 11*c + 12*c**3 - 34*c**3 + i - 12 + 6 wrt c.
-132*c
Let m = 72 + -66. Suppose b + 15 = 4*b. Find the third derivative of -q**4 + q**4 - 3*q**6 - b*q**m + 2*q**2 wrt q.
-960*q**3
Let w = 283 - 5653/20. Let d(o) be the second derivative of 5*o + w*o**5 - 7/2*o**2 + 0 + 0*o**4 + 0*o**3. What is the derivative of d(t) wrt t?
21*t**2
Let f(i) be the third derivative of i**5/60 - i**4/3 - 83*i**3/6 + 200*i**2 + 2*i. Differentiate f(m) wrt m.
2*m - 8
Let c = 10 - 12. Let i = 80 + c. What is the third derivative of 78 - i + 2*w**2 + w**6 wrt w?
120*w**3
Let h(t) be the first derivative of -2/3*t**3 - 11 + 2*t**2 + 0*t. Find the second derivative of h(b) wrt b.
-4
Let f(n) = 21*n**5 + n**4 - 4*n**3 - 46*n**2 - 4*n - 4. Let a(b) = -b**5 - b**3 - b - 1. Let w(r) = 4*a(r) - f(r). Find the third derivative of w(y) wrt y.
-1500*y**2 - 24*y
Let y(g) = -g**2 - 5*g - 1. Let z be y(-4).