8*t + 412*t wrt t.
-30876*t**2
Let g = 0 + 0. Suppose v = -1 - g. Let n(p) = p. Let r(k) = 7*k**3 - 12*k**2 - 5*k. Let i(y) = v*r(y) - 5*n(y). What is the third derivative of i(c) wrt c?
-42
Suppose -2 = -389*w + 388*w. What is the third derivative of -7*i**w + 14*i + 15*i**5 + 8*i**2 - 14*i + 1 wrt i?
900*i**2
Find the second derivative of 1218*g**5 + 189*g + 27*g + 94*g**5 + 861*g + 52*g**5 wrt g.
27280*g**3
Let y(k) be the third derivative of 0*k**5 + 0*k + 0*k**6 + 3 - 1/210*k**7 + 13/8*k**4 - 38*k**2 + 91/2*k**3. What is the first derivative of y(x) wrt x?
-4*x**3 + 39
Let c(o) be the first derivative of -371*o**4/4 - o**2/2 + 983*o + 434. Differentiate c(s) with respect to s.
-1113*s**2 - 1
Suppose 82*l - 88*l + 276 = 0. What is the third derivative of -3*g**2 + 12*g**5 - 1 + 14*g**5 + l*g**6 - g**3 - 26*g**5 wrt g?
5520*g**3 - 6
Let n(w) be the second derivative of -644*w**6/15 - 13*w**4/12 + 3*w**2/2 + 20*w - 23. What is the third derivative of n(j) wrt j?
-30912*j
Let v(w) be the first derivative of 6*w**7/7 + w**5/5 - 6*w**4 - w**3/3 - 323*w**2/2 + 2*w + 3424. What is the third derivative of v(b) wrt b?
720*b**3 + 24*b - 144
Let f be ((-34)/(-18))/(-1 - 70/(-42)). Let w(j) be the second derivative of 0 - f*j**4 - 15*j**2 + 10*j + 0*j**3. What is the derivative of w(n) wrt n?
-68*n
Let v(b) be the second derivative of b**6/30 - 38*b**5 + 348*b**2 - 2278*b. Find the first derivative of v(u) wrt u.
4*u**3 - 2280*u**2
Let l(u) = -46*u**4 - 7*u**2 - 24*u + 3. Let h(m) = -47*m**4 - 9*m**2 - 25*m + 1. Let n(d) = -6*h(d) + 7*l(d). What is the third derivative of n(o) wrt o?
-960*o
Let q be -10*((-2)/6)/((-3)/(-9)). Suppose q*y = 2*y + 128. What is the third derivative of y*w**6 + 370*w - 11*w**2 - 370*w wrt w?
1920*w**3
Let u(t) be the second derivative of -494*t**4/3 - 1409*t**3/6 + t**2/2 + 3*t + 788. What is the second derivative of u(z) wrt z?
-3952
Let i(t) = -6*t**2 - 2. Let c(d) = 6*d**2 - d + 2. Let v be 3/(60/(-32))*30/(-12). Let q(r) = v*i(r) + 3*c(r). What is the second derivative of q(z) wrt z?
-12
Let x(z) = z**4 + z**3 + 4*z**2 - 2*z - 2. Let s(u) = 5*u**4 + 96*u**3 + 20*u**2 - 6*u - 5. Let f(k) = -s(k) + 3*x(k). Find the third derivative of f(c) wrt c.
-48*c - 558
Let p(q) = -q**2 - 10*q - 22. Let c be p(-5). Find the first derivative of 232*x**3 - 175*x**c - 22 + 6 wrt x.
171*x**2
Let s(g) be the second derivative of -935*g**3 + 1680*g**2 - 2564*g. Find the first derivative of s(u) wrt u.
-5610
Let p be (-2)/((-3)/((-9)/(-2))). Let g be (576/180)/(0 - 2/(-10)). Differentiate g - u - p*u + 3*u + 3*u with respect to u.
2
Let i(x) = x**3 + x + 1. Let a(n) = 4*n**4 - 3*n**3 + 2*n**2 - 3*n + 132. Let t = 293 - 296. Let j(r) = t*i(r) - a(r). Find the first derivative of j(m) wrt m.
-16*m**3 - 4*m
Let n(h) be the second derivative of 0 - 3/2*h**4 - 56*h + 19/2*h**2 + 0*h**3 + 1/10*h**5. What is the first derivative of n(p) wrt p?
6*p**2 - 36*p
Suppose 0 = -10*n - 2*n + 756. What is the derivative of 304*c - 23 + 32 + 130 + n wrt c?
304
Find the first derivative of -416*q + 72179 - 2*q**3 + 68*q - 79304 wrt q.
-6*q**2 - 348
Let x(y) = 17*y - 860 - 5*y + 852. Let o be x(2). Find the third derivative of -18*d**4 + 19*d**2 + 11*d**5 + 34*d**4 - o*d**4 wrt d.
660*d**2
What is the derivative of -728897*h**2 + 728897*h**2 + 285 + 610*h**4 wrt h?
2440*h**3
Let d(i) = 2808*i**2 - 14*i + 2471. Let x(n) = 2808*n**2 - 12*n + 2471. Let y(p) = 6*d(p) - 7*x(p). Differentiate y(j) with respect to j.
-5616*j
Let s(d) = -d**2 + 20*d - 48. Let t be s(17). What is the third derivative of -29*k**2 - 2144*k**3 + 2112*k**t - 8*k**2 wrt k?
-192
What is the third derivative of -20862 + o**3 + 20863 + 78*o**3 - 24*o**2 - o**5 wrt o?
-60*o**2 + 474
Let x(p) be the first derivative of -1523*p**2 - 2304*p - 11631. Find the first derivative of x(j) wrt j.
-3046
Find the second derivative of -1292690*v - 1 - 4385*v**2 + 1295445*v - 3007*v**2 wrt v.
-14784
Let h(a) be the third derivative of 7*a**5/30 - 107*a**4/24 + 1231*a**3/3 - a**2 - 91*a. Differentiate h(i) wrt i.
28*i - 107
Let d(g) = 2*g**2 - g - 1. Let u(t) = -615*t**2 + t - 332. Let c(v) = -2*d(v) - u(v). Find the first derivative of c(o) wrt o.
1222*o + 1
Let p be ((-63)/(-28))/(-9) + 3/12. What is the second derivative of -36*z**3 + p - 11*z**5 - 155*z + 38*z**3 + 0 - 68*z wrt z?
-220*z**3 + 12*z
Let j(t) be the third derivative of t**7/15 - 109*t**5/60 - 7*t**4/8 - 37*t**3/6 + 5*t**2 + 303*t. Find the second derivative of j(a) wrt a.
168*a**2 - 218
Suppose -12*g + 32 = 4*g. Suppose 5*a + 4*l - 65 = -l, -73 = -4*a + 3*l. Differentiate -8*v**g + 3*v**2 + 0*v**2 + a - 4*v**2 wrt v.
-18*v
Let t(c) be the second derivative of -4*c**2 + 4/3*c**4 + 0*c**6 + 55/42*c**7 + 0*c**5 - 13 + c + 0*c**3. What is the third derivative of t(r) wrt r?
3300*r**2
Suppose -4*a - 4*r + 9 + 67 = 0, 3*r - 3 = 0. What is the third derivative of 3*f**2 - 2*f**3 - 37*f**3 + 2 - a*f**3 - 9 wrt f?
-342
Let r = 296 + -296. Let h(v) be the first derivative of 0*v**3 - 5*v**2 + 0*v**5 + 17 + 0*v**4 - 11/6*v**6 + r*v. Find the second derivative of h(j) wrt j.
-220*j**3
Let x(w) = 106*w**2 - 1. Let p be x(1). What is the first derivative of 83 + 103*q**4 - 207*q**4 + p*q**4 + 147*q**3 wrt q?
4*q**3 + 441*q**2
Let w be 3 + 2 + 4/(-4). Suppose w*q + 6 = 3*f + 41, -2*q = 3*f + 5. Find the second derivative of d**5 + 7*d - 5*d**5 - q*d wrt d.
-80*d**3
Suppose 1 = -28*j + 18 + 123. Let o(n) be the third derivative of -1/4*n**j + 1/3*n**3 + 0*n**4 + 0 + 0*n - 6*n**2. Find the first derivative of o(s) wrt s.
-30*s
Let r = 9 - 8. Let o(c) be the second derivative of -2*c**3/3 - 3*c**2/2 - 9*c. Let i(v) = -v. Let k(w) = r*o(w) - 5*i(w). Differentiate k(n) with respect to n.
1
Let b(t) be the second derivative of 2 + 0*t**3 + 36*t**2 + 31/4*t**4 - 48*t. What is the first derivative of b(v) wrt v?
186*v
Suppose -34 = 3*i - 19. Let v be (22/10 + -1)/(i/(-300)). What is the second derivative of -51*g**3 + 30*g + v*g**3 - 9*g wrt g?
126*g
Let s(j) be the third derivative of -j**6/6 + 53*j**4/24 + 20*j**2. Let w(q) = q**3 + q. Let k(p) = s(p) - 2*w(p). What is the second derivative of k(h) wrt h?
-132*h
Let y = 20 + -16. What is the third derivative of -12*p**2 + p**2 - 12*p**y + 40*p + 61*p**4 + 10*p**2 wrt p?
1176*p
Suppose 151 = -4*u - 3*k, k + 135 = -3*u + 6*k. Let z = u + 67. What is the derivative of 12*m**4 + m**4 + 14 - z*m**4 wrt m?
-56*m**3
Suppose -23 - 37 = -4*y. Find the second derivative of 127 - 2*t**4 + t - 5*t**2 + t**4 - y*t**2 + 108*t**2 wrt t.
-12*t**2 + 176
Let u(s) = -7*s - 10. Suppose 4*w + 8 = 2*x, -3*x - 3 = -w - 0*w. Let r be u(w). Find the third derivative of -13*m**2 + 0*m**6 + r*m**6 + 7*m**6 wrt m.
2160*m**3
Let s(p) be the first derivative of -48*p**5/5 - 13*p**4/4 + 587*p**2 - 1465. What is the second derivative of s(m) wrt m?
-576*m**2 - 78*m
Let q = 1541 - 1541. Let d(s) be the third derivative of 4*s**2 - 5/12*s**4 + 7/30*s**5 + q + 0*s**3 + 0*s. Find the second derivative of d(u) wrt u.
28
Let z(h) = -h**2 - 8*h + 99. Let n be z(-11). What is the third derivative of -n*i**2 - 149*i**2 - 120*i - 201*i**3 + 60*i + 60*i wrt i?
-1206
Let x(a) = -115*a**2 + 8*a + 136. Let g(d) = 77*d**2 - 5*d - 90. Let i be 10*((-22)/10 - -3). Let t(z) = i*g(z) + 5*x(z). Differentiate t(u) with respect to u.
82*u
Let s(r) = r - 2. Let u(j) = 153*j**2 - 180*j + 14. Let m(d) = -7*s(d) - u(d). Find the second derivative of m(k) wrt k.
-306
Let a(l) = l**3 - l**2 - l. Let j(o) = 2073*o**4 + 4*o**3 - 4*o**2 - 4*o - 1718. Let p(z) = 4*a(z) - j(z). Find the first derivative of p(w) wrt w.
-8292*w**3
Let i(w) be the first derivative of -w**2 + 0*w**3 - 159*w + 57/2*w**4 + 115. Differentiate i(q) with respect to q.
342*q**2 - 2
Let h(a) be the second derivative of -169*a**4/3 - 151*a**2/2 - 6*a + 66. Differentiate h(k) wrt k.
-1352*k
Let l(v) be the second derivative of 475*v**7/6 - 11*v**4/12 - 13*v**3 + 2533*v. Find the third derivative of l(s) wrt s.
199500*s**2
Let h be (-12)/7*13/(273/(-98)). What is the second derivative of 5 + 172*k**3 + 8 - 7 - h + 40*k wrt k?
1032*k
Let c(s) = -s**2 + s + 68. Let b be c(-7). What is the second derivative of -p**4 - b*p**4 + 11*p**3 - p**3 - 18*p**3 - 142*p wrt p?
-156*p**2 - 48*p
Let y(q) be the thir