 + 12
Let q = -27 - -30. Find the second derivative of 12*h**3 - h**3 + 11*h + 3*h**q wrt h.
84*h
Let b(h) be the third derivative of -317*h**4/12 + 221*h**3/6 + 576*h**2. Find the first derivative of b(l) wrt l.
-634
Suppose 0 = -n - 2*b + 1, -n + 2*n - 7 = b. Find the second derivative of 16*f**5 + 522*f - 491*f + 4*f**n wrt f.
400*f**3
What is the second derivative of -46*s**4 - 2*s + 0*s**2 - s + 4*s - 2*s**2 + 11 - 200*s**4 wrt s?
-2952*s**2 - 4
Differentiate -6 + 70 - 8 - 834*s**2 with respect to s.
-1668*s
Let t(o) = -4*o**5 + 3*o - 4*o + 3*o**5 + 2*o**5 - 1. Let r(i) = -5*i**5 + 5*i**2 + 2*i + 2. Let v(b) = r(b) + 2*t(b). Find the third derivative of v(a) wrt a.
-180*a**2
Let z(w) = -58*w**4 - 37*w**2 - w - 2. Let g(x) = 291*x**4 + 184*x**2 + 6*x + 11. Let t(i) = 2*g(i) + 11*z(i). What is the third derivative of t(h) wrt h?
-1344*h
What is the second derivative of -10 - 16 + 43 - 456*d**2 + 2*d - 11 - 13 wrt d?
-912
Let u(f) = -37*f**3 - 8*f**2 + 87*f + 4. Let y(n) = 74*n**3 + 18*n**2 - 175*n - 9. Let d(x) = 9*u(x) + 4*y(x). Find the second derivative of d(j) wrt j.
-222*j
Find the first derivative of -2*d - 17 - 158*d**3 - 234*d**3 + 2*d + 90 wrt d.
-1176*d**2
Let d(i) be the first derivative of 2 + 26/3*i**3 + 11/4*i**4 + 0*i**2 + 0*i. Find the third derivative of d(p) wrt p.
66
Let d(i) = -i**3 - 3*i**2 - 4*i + 2. Let h be d(-2). Differentiate -h*z + 0*z - 4*z - 21 - z wrt z.
-11
Differentiate -4 + 25 + 69 - 123*o wrt o.
-123
What is the first derivative of 61 - 5771*f - 164 - 5*f**2 + 5781*f wrt f?
-10*f + 10
Let k = -18 + 32. Let o = -11 + k. Find the second derivative of -g**3 - 3*g**3 - 2*g - 4*g**o - g**3 wrt g.
-54*g
Let g(b) be the first derivative of 27/2*b**2 - 1/2*b**6 + 0*b**4 + 0*b + 36 + 0*b**3 + 0*b**5. What is the second derivative of g(c) wrt c?
-60*c**3
Let l be 80/(-6)*(-6)/4. Let r be (-1)/(1 + l/(-16)). Differentiate 3 + 4*i**r - 2 - 3*i**4 - 4 with respect to i.
4*i**3
Let a = -380 - -620. What is the third derivative of -4*z**2 + 11*z**4 + a*z**3 - 240*z**3 - 2 - z**2 wrt z?
264*z
Let q(x) be the second derivative of 0*x**4 + 0 + 7/15*x**6 + 0*x**2 - 1/3*x**3 + 0*x**5 - 15*x. Find the second derivative of q(w) wrt w.
168*w**2
Let q be ((-3)/2)/((-15)/(-280)). Let g be (-2)/(-8) + 7/q. Differentiate i**3 + 3*i**3 + g*i**3 - 1 + i**3 with respect to i.
15*i**2
Let w(h) be the first derivative of 0*h + 18 + 0*h**4 + 0*h**5 + 0*h**3 - 1/6*h**6 + 1/2*h**2. What is the second derivative of w(d) wrt d?
-20*d**3
Suppose n = x + 2, 0 = -2*n - 4*x + 4. What is the third derivative of -14*c**n - 2*c + 2*c + 99*c**5 - 84*c**5 wrt c?
900*c**2
Let o(q) = -65*q**2 + 3*q - 509. Let h(r) = -66*r**2 + 4*r - 506. Let m(s) = 3*h(s) - 4*o(s). What is the first derivative of m(x) wrt x?
124*x
Let a = 20 - 37. Let x = -7 - a. What is the third derivative of 10*s**4 - x*s**2 + s**2 - 6*s**4 wrt s?
96*s
Let l(m) = -22*m**4 + 8*m**2 + 2*m - 25. Let u(q) = -15*q**4 + 5*q**2 + q - 16. Let o(i) = -5*l(i) + 8*u(i). Find the second derivative of o(d) wrt d.
-120*d**2
Let f(n) = 428*n**3 - 10*n**2 + 15*n + 14. Let u(x) = 214*x**3 - 4*x**2 + 8*x + 7. Let i(r) = 2*f(r) - 5*u(r). Find the second derivative of i(d) wrt d.
-1284*d
Let g(i) = 622*i**3 - 6*i**2 + 17*i - 11. Let n(d) = 310*d**3 - 4*d**2 + 9*d - 6. Let h(v) = 6*g(v) - 11*n(v). Find the third derivative of h(q) wrt q.
1932
Let o(z) = z - 8. Let y be o(12). Let r be (9/(-6))/(y/(-8)). Find the third derivative of -19*m**4 - 2*m**r + 11*m**2 + 2*m**3 + 20*m**4 wrt m.
24*m
Let b(p) be the third derivative of 17*p**6/40 + 59*p**3/6 + 49*p**2. What is the first derivative of b(i) wrt i?
153*i**2
Let q(n) = -66*n**2 - n - 2. Let l(m) = 67*m**2 + 2. Let v(u) = -5*l(u) - 6*q(u). What is the second derivative of v(a) wrt a?
122
Suppose -4*b + 5*a + 4 = 4*a, 5*a + 20 = 5*b. Suppose 0*m + 5*m - 65 = b. What is the second derivative of -8*u**5 + u**5 + m*u**5 + 2*u wrt u?
120*u**3
Let j(w) = 195*w**3 - 382*w**2 + 19*w + 8. Let t(r) = 64*r**3 - 127*r**2 + 7*r + 3. Let s(g) = 3*j(g) - 8*t(g). What is the third derivative of s(d) wrt d?
438
Find the second derivative of -4*c**3 - c**2 + c**2 + 4*c**3 + 66*c**4 - c + 5*c**3 + 187 wrt c.
792*c**2 + 30*c
Let k(b) = -221*b**3 - 116*b**2 + 4. Let v(m) = -444*m**3 - 233*m**2 + 7. Let i(p) = 7*k(p) - 4*v(p). What is the third derivative of i(s) wrt s?
1374
Let q be (12 - -1) + (0 - -2)*1. What is the third derivative of -q*b**2 + 9*b**2 + 26*b**2 - 14*b**5 wrt b?
-840*b**2
Let g = -17 + 18. Suppose 3*d - 2*a = 2, -3*a - g = -4*d + 1. What is the first derivative of -3*t**d + 5*t**2 + 9 + 0 wrt t?
4*t
Suppose 5*s - 17 = -g, 0 = -5*s + 3*g + 14 - 5. Suppose 3*i - 5*l + 11 = 0, -s*i - 2*l = -8 - 9. Differentiate -4 + 0*k**i - 3 + 7*k**3 with respect to k.
21*k**2
Let l(g) be the third derivative of 0*g + 5/2*g**3 + 0 + 17/60*g**5 - 11*g**2 + 0*g**4. Find the first derivative of l(a) wrt a.
34*a
Find the first derivative of -26*h**4 - 472*h**4 + 338 + 11*h**4 wrt h.
-1948*h**3
What is the derivative of 109 - 570 + 54*t**2 + 291 wrt t?
108*t
Let f(v) be the second derivative of -v**6/30 - 3*v**3 + 97*v**2/2 - 150*v. Find the first derivative of f(g) wrt g.
-4*g**3 - 18
What is the second derivative of 11 + 7*b**2 - 34*b**2 + 2*b + 27*b**2 + 3*b**4 wrt b?
36*b**2
What is the second derivative of 88*i**5 + 12 - 248*i**5 - 124*i + 126*i wrt i?
-3200*i**3
Let a(l) = -23*l**4 + 7*l**3 - 14. Let h(g) = 5*g**3 - 9*g**4 + 0 - 6*g**4 - 1 - 8. Let m(w) = -5*a(w) + 7*h(w). Differentiate m(o) wrt o.
40*o**3
Suppose 3*n + 5*i - 10 = 0, -4*i + 3 = -5. What is the derivative of 46*s + n + 11 - 37*s wrt s?
9
Let l(b) be the first derivative of -41*b**6/3 - 385*b**2/2 - 461. Find the second derivative of l(q) wrt q.
-1640*q**3
Suppose 11*g - 66 = 9*g. What is the second derivative of -13*t + 16*t**5 + g*t - 14*t wrt t?
320*t**3
Let y(w) be the first derivative of -27*w**6/2 + 3*w**3 - w**2 - 138. What is the third derivative of y(j) wrt j?
-4860*j**2
Let t(q) be the first derivative of q**5/5 - q**3/3 + 34*q + 50. Find the first derivative of t(v) wrt v.
4*v**3 - 2*v
Find the third derivative of -h**4 + 11610*h**2 + h**3 + 9*h**5 - 11621*h**2 - h**3 wrt h.
540*h**2 - 24*h
Let c(q) be the first derivative of -32 - 6*q**5 - 18*q**2 - 415*q + 415*q. What is the second derivative of c(r) wrt r?
-360*r**2
Let n(w) be the second derivative of 3*w**7/7 - 3*w**5/5 + 119*w**4/6 - 487*w. Find the third derivative of n(c) wrt c.
1080*c**2 - 72
Let l(h) = -29*h**4 - 44 - 3 + 12*h**4 - 8*h + 8*h**2. Let z(y) = 6*y**4 - 3*y**2 + 3*y + 16. Let r(k) = 3*l(k) + 8*z(k). What is the derivative of r(g) wrt g?
-12*g**3
Let i(p) = 12*p**2 + 5 + p**3 + 5 - 1. Let v be i(-12). What is the second derivative of 7*a**2 - a**2 + 11*a - v*a**2 wrt a?
-6
Let x(y) = 1 + 6*y**3 - 5*y**3 - 2. Let z(p) = -3*p**4 + 5*p**3 + 4*p**2 - 5. Let q(a) = 5*x(a) - z(a). Find the third derivative of q(c) wrt c.
72*c
Suppose 3*r - 4*k = 6, r + r - 5*k - 4 = 0. What is the second derivative of 2*t**3 + 10*t**4 + 4*t + 4*t - r*t**3 wrt t?
120*t**2
Let d(n) be the third derivative of 0*n**4 + 14*n**2 + 0 + 0*n + 17/60*n**5 + 19/6*n**3. What is the first derivative of d(b) wrt b?
34*b
Suppose -3*s = 2*s - 10. What is the first derivative of 3*t**s + 12 - 3*t**2 - 32 - 20*t**3 wrt t?
-60*t**2
Let n(f) = 4*f**2 - 3*f. Let i(d) = -5*d**2 + 3*d. Let b(w) = -5*i(w) - 6*n(w). Let h be b(-4). What is the derivative of y + 4*y - 7*y + 7*y - h wrt y?
5
Suppose -3*h + 2828 = 4*l - 636, -5*l = -5*h - 4295. Find the third derivative of -863 + l + 4*z**2 - 13*z**5 wrt z.
-780*z**2
What is the second derivative of -137*y - y**2 + 11*y**2 + 2 - 16*y**3 - 12*y**2 wrt y?
-96*y - 4
Let b(c) = -17*c**3 + 2*c - 5. Let h(v) = -35*v**3 + 5*v - 9. Suppose 9*x = 7*x + 4. Let u(j) = x*h(j) - 5*b(j). Differentiate u(p) wrt p.
45*p**2
Let y(c) = c - 6. Let x(a) = -2*a + 11. Let f(g) = 4*x(g) + 7*y(g). Let w be f(-9). What is the derivative of w*k + 9 + 4*k**3 - 3 - 11*k wrt k?
12*k**2
Let x(z) = -2*z + 7. Let l be x(2). What is the derivative of -2 + 20*h**4 - 19*h**l + 19*h**3 wrt h?
80*h**3
Let v be (0/3)/(4 - 1). Suppose 6*y + 5*q = 2*y + 28, -4*y - 4*q + 24 = v. What is the second derivative of 1 - y*h - 6*h**2 - 1 - 7*h wrt h?
-12
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